Datasets:
JingzeShi
/
decay_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
[ 769, 606, 715, 14149, 24923, 267, 972, 781, 513, 4494, 540, 533, 15178, 19202, 1570, 29011, 1117, 1063, 1079, 6106, 540, 562, 15178, 1570, 269, 769, 513, 623, 23259, 24923, 267, 519, 11460, 568, 20328, 267, 609, 513, 4494, 540, 562, 15178, 1570, 1063, 1079, 6106, 540, 533, 15178, 1570, 563, 1692, 798, 596, 917, 952, 513, 24923, 568, 3983, 610, 17528, 888, 23777, 673, 4191, 540, 513, 17528, 24923, 1331, 513, 5547, 602, 781, 711, 8647, 607, 4397, 267, 610, 513, 3926, 602, 781, 23986, 908, 610, 711, 1379, 532, 593, 269, 1677, 6166, 267, 596, 666, 946, 513, 1617, 9014, 547, 1449, 519, 24923, 269, 1403, 519, 24923, 3884, 1405, 6029, 519, 2953, 28696, 610, 5706, 1734, 538, 922, 1114, 19383, 267, 621, 781, 2693, 602, 621, 781, 3983, 269, 0, 2252, 596, 4076, 2479, 9141, 2066, 519, 1533, 3515, 547, 4444, 14949, 3154, 267, 596, 917, 827, 17405, 9204, 269, 1809, 1705, 596, 917, 875, 1454, 540, 707, 17405, 3902, 4422, 547, 3454, 267, 543, 547, 1018, 2229, 11769, 621, 568, 6976, 286, 3371, 779, 513, 15059, 563, 293, 3985, 12525, 269, 5272, 20645, 540, 17405, 602, 596, 6718, 2882, 513, 1269, 271, 269, 8146, 2300, 1047, 3454, 602, 4422, 547, 519, 8549, 2229, 269, 1403, 596, 723, 513, 667, 19342, 2599, 267, 707, 2628, 1269, 271, 269, 25838, 829, 20645, 269, 901, 3454, 2337, 2628, 585, 4155, 5989, 3785, 899, 9897, 543, 13123, 269, 1703, 568, 849, 513, 1269, 271, 269, 4905, 8549, 3454, 585, 17405, 543, 667, 19342, 602, 4422, 547, 519, 14605, 3957, 968, 299, 19851, 892, 2508, 267, 799, 6763, 585, 968, 8867, 1136, 26789, 19554, 26653, 6100, 1452, 9204, 723, 711, 1044, 6659, 2094, 476, 1960, 274, 267, 1394, 950, 519, 3328, 1942, 540, 17405, 729, 1152, 1269, 272, 269, 6187, 2336, 13750, 12525, 269, 634, 3328, 1533, 3454, 9775, 267, 855, 568, 3622, 827, 476, 1789, 21347, 829, 20645, 269, 3345, 10491, 779, 6802, 3454, 568, 4867, 1269, 271, 269, 2412, 269, 276, 829, 20645, 267, 609, 606, 3606, 1547, 16573, 276, 14791, 3454, 269, 3345, 10491, 568, 1851, 519, 2829, 602, 814, 519, 1482, 2179, 26550, 1221, 593, 17405, 543, 667, 19342, 269, 634, 3345, 10491, 4972, 540, 28521, 11887, 519, 3454, 2557, 593, 4492, 267, 1210, 513, 4542, 1305, 676, 1533, 1876, 269, 6884, 519, 3454, 2557, 2242, 4571, 1032, 563, 3725, 15467, 689, 3345, 10491, 17405, 9204, 568, 2322, 883, 1079, 5094, 7482, 269, 634, 968, 11947, 3118, 8750, 892, 568, 6131, 547, 5826, 543, 5106, 269, 769, 476, 1708, 271, 267, 476, 10170, 260, 540, 1395, 625, 4607, 4682, 883, 713, 2508, 269, 634, 14230, 4422, 547, 519, 968, 11947, 3118, 11565, 8750, 5608, 547, 31194, 2104, 19814, 3785, 269, 4340, 547, 519, 715, 7374, 5588, 267, 519, 3328, 9920, 17188, 17405, 3454, 602, 1131, 2628, 585, 1273, 4221, 835, 533, 1054, 1961, 1142, 1032, 563, 22139, 10491, 10997, 811, 1533, 3454, 593, 513, 20645, 540, 17405, 982, 3162, 10491, 610, 9098, 267, 865, 938, 1533, 814, 811, 8907, 602, 789, 666, 5732, 946, 547, 1832, 938, 9897, 538, 1434, 3337, 1785, 12147, 543, 8353, 24312, 269, 3776, 1533, 17405, 3454, 814, 2965, 8519, 5594, 689, 3105, 1296, 563, 1692, 547, 9796, 10815, 12525, 269, 634, 1655, 1259, 547, 2628, 1447, 17405, 3454, 568, 547, 946, 1447, 4492, 256, 2961, 23051, 532, 543, 4881, 2144, 571, 2738, 21825, 786, 948, 596, 5397, 1447, 269, 6271, 1259, 547, 2569, 707, 4492, 4616, 568, 547, 1118, 2386, 602, 707, 6174, 568, 4881, 7561, 269, 1656, 540, 1576, 267, 602, 779, 1141, 7439, 5142, 14825, 12067, 2501, 538, 256, 1284, 948, 1118, 2386, 602, 1142, 851, 540, 707, 2599, 568, 621, 519, 1655, 2783, 2009, 269, 2334, 779, 1434, 585, 707, 6174, 267, 585, 519, 1604, 267, 543, 849, 1107, 585, 707, 23129, 256, 0, 309, 17448, 6752, 814, 6591, 8560, 538, 2487, 1296, 267, 711, 1175, 585, 922, 15851, 2511, 267, 855, 849, 585, 922, 6940, 269, 1306, 519, 6752, 2872, 568, 1634, 585, 922, 2942, 1764, 593, 519, 1604, 267, 621, 781, 1271, 547, 1413, 585, 811, 10357, 7888, 8925, 267, 543, 21305, 6752, 568, 835, 540, 873, 269, 3371, 616, 930, 4128, 1946, 9140, 21305, 7802, 568, 513, 4264, 3903, 912, 268, 11087, 806, 3653, 454, 24137, 6752, 814, 3366, 547, 513, 2528, 540, 25551, 7802, 267, 1141, 9660, 616, 10464, 569, 1500, 543, 3533, 23987, 269, 901, 814, 8507, 538, 606, 11999, 2179, 540, 19135, 3653, 538, 26071, 267, 799, 666, 1491, 1296, 547, 31693, 269, 11370, 3539, 21305, 7802, 568, 513, 1259, 547, 2569, 3653, 543, 2285, 1007, 1272, 547, 9660, 602, 1131, 6382, 1439, 909, 538, 519, 25087, 563, 268, 590, 2314, 2200, 454, 763, 2504, 540, 1007, 7802, 3340, 513, 2603, 540, 2200, 267, 1519, 1216, 267, 1648, 267, 543, 6151, 2326, 269, 1635, 9140, 21305, 7802, 267, 596, 2811, 711, 1152, 4227, 3653, 267, 855, 849, 9494, 891, 2200, 269, 898, 3217, 2484, 1447, 1648, 543, 2200, 547, 2973, 543, 7816, 21305, 7802, 982, 621, 1281, 547, 3132, 1007, 7802, 563, 268, 4675, 2176, 5683, 2853, 454, 6624, 2413, 7802, 12478, 7048, 593, 30907, 11668, 2853, 267, 1519, 14226, 543, 1126, 11668, 269, 1879, 596, 4444, 21305, 7802, 267, 596, 2811, 711, 5885, 891, 2853, 269, 5502, 267, 596, 2811, 4758, 1007, 1272, 547, 9660, 602, 941, 1500, 538, 513, 942, 950, 4600, 941, 1419, 6976, 513, 4023, 13230, 543, 5249, 538, 2922, 2175, 563, 268, 23433, 2511, 454, 309, 17448, 7802, 568, 1419, 835, 6361, 8584, 29292, 267, 609, 2189, 6272, 543, 17234, 602, 596, 4465, 1405, 1265, 538, 2413, 7802, 269, 1635, 9849, 21305, 267, 596, 2811, 11589, 707, 23141, 543, 2123, 2511, 538, 513, 1259, 602, 781, 4264, 543, 5683, 563, 268, 20971, 4773, 454, 309, 17448, 7802, 568, 1419, 1134, 13402, 609, 1164, 7779, 2326, 267, 799, 1797, 621, 666, 2063, 585, 1082, 811, 5756, 952, 3144, 1416, 540, 5265, 269, 30799, 538, 21305, 4773, 666, 581, 513, 5100, 3375, 267, 607, 789, 666, 5660, 538, 1871, 936, 942, 267, 543, 596, 666, 2972, 9849, 873, 585, 1296, 547, 2097, 563, 1103, 3932, 267, 21305, 6752, 568, 513, 4264, 543, 5683, 3903, 602, 711, 1152, 2337, 519, 1604, 855, 849, 7028, 4023, 11668, 2853, 543, 8992, 23141, 563, 3528, 9140, 21305, 7802, 267, 596, 666, 948, 2569, 3653, 267, 4688, 2200, 267, 543, 2769, 707, 2189, 2511, 1247, 1818, 513, 2318, 1764, 593, 519, 4541, 269, 0, 288, 13169, 568, 513, 1106, 540, 13989, 1141, 5171, 6718, 17914, 585, 519, 4960, 547, 3094, 513, 16101, 269, 634, 26065, 2039, 689, 1507, 3688, 547, 1804, 18304, 540, 2724, 269, 20769, 23065, 616, 3335, 14931, 676, 519, 2229, 547, 2327, 14619, 543, 1850, 1275, 269, 769, 1840, 267, 789, 616, 1419, 15469, 607, 606, 4244, 547, 824, 3029, 540, 13989, 267, 971, 607, 8732, 16394, 543, 5026, 25919, 269, 2755, 519, 16213, 540, 6266, 547, 3313, 535, 919, 543, 6830, 17480, 814, 513, 1279, 1686, 267, 27601, 607, 3756, 585, 1570, 2744, 616, 5266, 2487, 269, 634, 1101, 1857, 27601, 941, 4371, 538, 519, 8899, 18831, 538, 519, 476, 1428, 628, 2540, 547, 6318, 7482, 585, 4884, 6830, 5874, 543, 948, 519, 4057, 563, 763, 2596, 2609, 540, 782, 27601, 616, 513, 7535, 540, 17914, 267, 513, 4351, 5542, 1184, 547, 2824, 23602, 267, 543, 513, 7271, 585, 10655, 543, 7535, 532, 519, 30367, 5116, 593, 519, 17914, 269, 634, 7535, 540, 17914, 568, 2356, 8499, 6404, 676, 930, 7344, 1797, 267, 971, 607, 24373, 610, 19184, 532, 269, 901, 5849, 602, 4351, 4960, 11887, 799, 17914, 616, 5697, 267, 2864, 982, 1022, 26608, 18727, 7375, 610, 3270, 269, 23675, 616, 1631, 4749, 1031, 547, 2327, 602, 519, 5542, 1184, 568, 4625, 1863, 689, 1480, 9186, 563, 1103, 1840, 547, 519, 4351, 5542, 1184, 267, 519, 23602, 1590, 581, 5462, 676, 930, 1797, 267, 971, 607, 513, 2721, 540, 2338, 610, 6698, 269, 634, 1034, 1455, 1505, 568, 547, 946, 513, 2780, 24378, 4351, 1297, 5311, 269, 769, 930, 2665, 267, 513, 8470, 540, 16488, 568, 19632, 547, 2689, 519, 5542, 543, 17551, 513, 16771, 269, 1717, 267, 713, 1826, 540, 13169, 814, 519, 1761, 585, 6057, 543, 1058, 1152, 581, 1031, 538, 519, 2013, 540, 513, 1360, 1804, 16101, 610, 513, 3810, 11786, 3510, 563, 24916, 519, 6654, 5683, 543, 2883, 2042, 609, 713, 1826, 540, 13169, 267, 972, 616, 824, 2152, 547, 2015, 269, 20769, 23065, 616, 711, 513, 1390, 1259, 547, 3895, 1434, 1072, 610, 2069, 267, 543, 789, 666, 2014, 1004, 547, 3653, 741, 2182, 268, 792, 2740, 6666, 269, 769, 1840, 267, 1004, 945, 1404, 519, 13169, 616, 811, 2693, 547, 581, 29279, 547, 13989, 269, 1358, 949, 849, 6108, 741, 3094, 11789, 593, 824, 13989, 2238, 267, 4611, 538, 7963, 543, 28153, 269, 4892, 6108, 936, 1269, 3199, 5479, 593, 27601, 1142, 1032, 267, 543, 602, 2724, 1223, 581, 1732, 6170, 593, 6595, 9806, 610, 9878, 1524, 5491, 3556, 7963, 563, 2005, 568, 1271, 547, 4063, 602, 519, 5318, 5354, 540, 13169, 5716, 798, 711, 2965, 3094, 519, 2462, 16101, 269, 769, 1249, 267, 519, 12918, 540, 10888, 519, 13544, 13607, 616, 5393, 6552, 269, 634, 3328, 10888, 19044, 3790, 1269, 272, 267, 543, 972, 616, 1152, 827, 1079, 2929, 2698, 17914, 4421, 829, 5373, 269, 2755, 519, 8458, 540, 10888, 519, 13544, 13607, 616, 11212, 28489, 267, 1082, 1004, 1869, 1745, 606, 19450, 20882, 547, 1404, 519, 13169, 269, 634, 2601, 3297, 713, 568, 2241, 281, 20769, 6670, 18537, 1118, 621, 3100, 899, 972, 568, 513, 1434, 4960, 602, 789, 786, 3094, 267, 543, 602, 4126, 3947, 873, 513, 2318, 3929, 5818, 563, 4407, 972, 568, 5693, 513, 3747, 585, 27601, 267, 789, 1058, 581, 5402, 11117, 1354, 1373, 8045, 269, 11086, 267, 621, 568, 519, 1533, 779, 5539, 547, 3895, 519, 13169, 538, 2081, 602, 798, 711, 723, 2942, 4539, 585, 7925, 5095, 610, 5000, 1966, 13989, 269, 1403, 519, 13169, 568, 547, 581, 513, 2707, 540, 8907, 267, 621, 1590, 2709, 10853, 12918, 543, 1683, 513, 10257, 4110, 540, 7082, 4027, 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 ]
[ 9183, 267, 607, 596, 1131, 1289, 621, 267, 729, 519, 2219, 27322, 971, 607, 649, 1419, 946, 1851, 707, 9082, 547, 2303, 519, 12357, 610, 519, 1016, 331, 830, 269, 1411, 949, 581, 5432, 609, 930, 540, 891, 23079, 563, 2918, 269, 2641, 7726, 518, 281, 3973, 1018, 596, 1705, 267, 594, 993, 14322, 267, 568, 547, 1711, 606, 2011, 540, 9814, 609, 519, 772, 23859, 7613, 267, 607, 649, 1289, 621, 267, 543, 1287, 676, 7658, 15797, 6494, 1082, 6835, 799, 1223, 581, 7608, 610, 15653, 896, 519, 4521, 540, 2290, 865, 602, 519, 2551, 1131, 1376, 3206, 12517, 827, 519, 4539, 540, 1018, 621, 729, 3257, 269, 1772, 713, 2953, 888, 26244, 281, 594, 993, 14780, 269, 901, 568, 13148, 2953, 269, 1703, 616, 824, 2533, 649, 949, 1685, 269, 17616, 267, 519, 5610, 540, 20339, 610, 14326, 267, 952, 596, 786, 267, 538, 519, 2680, 540, 946, 540, 891, 6046, 3457, 538, 707, 2230, 270, 5503, 27795, 269, 901, 519, 32700, 814, 2907, 2944, 563, 2767, 269, 274, 7726, 518, 281, 901, 8400, 594, 2219, 649, 1131, 1376, 3883, 5565, 540, 5990, 32045, 5508, 21450, 267, 799, 786, 1445, 593, 1018, 649, 2015, 547, 581, 519, 1152, 1271, 2460, 540, 938, 1373, 269, 901, 267, 594, 8263, 267, 786, 581, 513, 1454, 811, 2352, 4305, 982, 519, 1101, 1433, 269, 1284, 1616, 547, 1445, 593, 1919, 602, 616, 711, 23644, 267, 543, 607, 2243, 518, 594, 949, 723, 7411, 693, 2053, 563, 2691, 594, 798, 723, 713, 7411, 594, 949, 2887, 1394, 593, 930, 23644, 2055, 3274, 1317, 594, 786, 711, 581, 2111, 547, 25666, 1018, 594, 2731, 991, 267, 543, 594, 23294, 1125, 585, 713, 269, 594, 786, 2119, 1250, 1655, 547, 3251, 593, 519, 3950, 543, 9004, 1919, 540, 1100, 1871, 689, 519, 1433, 952, 789, 798, 2049, 1282, 1250, 15819, 563, 763, 3948, 594, 786, 1118, 547, 2253, 609, 568, 281, 769, 713, 5860, 649, 4043, 547, 1445, 938, 8186, 593, 930, 23644, 2783, 610, 2534, 609, 2370, 2543, 547, 922, 1871, 610, 946, 607, 606, 5351, 610, 513, 1907, 585, 2208, 543, 1620, 540, 519, 3020, 543, 3768, 626, 9285, 9759, 540, 519, 5137, 540, 799, 649, 616, 606, 7533, 851, 563, 296, 786, 3801, 267, 676, 4358, 693, 519, 4098, 540, 5137, 267, 547, 3715, 606, 7650, 540, 6000, 538, 519, 5137, 267, 7551, 21945, 693, 513, 811, 5483, 21169, 540, 1018, 649, 2015, 547, 581, 4641, 269, 898, 568, 12479, 602, 713, 786, 1450, 721, 547, 7119, 811, 3927, 538, 519, 1184, 540, 4720, 563, 296, 1131, 899, 547, 1376, 609, 8847, 540, 1913, 602, 649, 723, 1044, 1210, 602, 7654, 649, 723, 711, 11652, 7654, 3112, 1765, 16187, 11207, 267, 855, 2094, 519, 1101, 1913, 602, 649, 946, 616, 10995, 20581, 267, 594, 1131, 899, 585, 596, 547, 5581, 1142, 540, 891, 1913, 543, 2285, 519, 4214, 540, 741, 4999, 563, 26244, 281, 594, 993, 14780, 269, 2659, 21513, 540, 2247, 1950, 5815, 513, 13214, 269, 1717, 267, 707, 5854, 1049, 3280, 1950, 5815, 513, 13283, 269, 7490, 1964, 622, 563, 2764, 269, 1724, 7726, 518, 281, 11289, 596, 269, 594, 3580, 1289, 519, 21378, 7781, 14925, 602, 649, 616, 538, 519, 2101, 14925, 1175, 865, 649, 786, 711, 1205, 6404, 909, 538, 938, 2474, 269, 6496, 782, 519, 9637, 538, 25191, 1106, 602, 4422, 883, 1018, 649, 616, 10912, 519, 2101, 14925, 1376, 856, 543, 979, 998, 782, 540, 519, 24186, 538, 1931, 267, 835, 26690, 31644, 21144, 19317, 29350, 5498, 1597, 543, 883, 519, 21632, 267, 610, 616, 972, 930, 945, 1376, 909, 2362, 538, 519, 7584, 865, 602, 972, 568, 2141, 513, 7848, 540, 10995, 9637, 538, 519, 14925, 888, 26244, 281, 594, 993, 14780, 269, 634, 8545, 568, 811, 5176, 2953, 269, 769, 1142, 4098, 972, 568, 519, 4098, 689, 12808, 4222, 269, 5131, 786, 6411, 607, 513, 18463, 269, 2142, 902, 2253, 547, 1106, 519, 5203, 525, 269, 3117, 4109, 1145, 1287, 5956, 547, 723, 519, 1761, 547, 1995, 269, 634, 30372, 540, 1995, 616, 2813, 607, 513, 851, 540, 10995, 1648, 543, 616, 6378, 1354, 1995, 5956, 563, 4913, 267, 972, 568, 2141, 267, 1813, 547, 1863, 786, 9117, 28222, 2390, 519, 5137, 267, 513, 1390, 8390, 538, 3355, 6114, 547, 10995, 1648, 779, 1761, 269, 4935, 3592, 5612, 519, 13210, 540, 519, 267, 4927, 649, 1289, 621, 267, 21712, 2470, 540, 7919, 5956, 547, 8915, 607, 930, 13980, 540, 9637, 610, 4656, 1451, 998, 1995, 538, 513, 1454, 811, 3608, 6073, 563, 3374, 269, 272, 7726, 518, 281, 594, 1131, 899, 547, 2161, 602, 649, 2015, 621, 513, 1390, 17979, 547, 581, 3257, 713, 960, 267, 543, 649, 4126, 602, 649, 786, 581, 15819, 538, 519, 4287, 602, 786, 581, 540, 1871, 547, 519, 3988, 540, 713, 1570, 269, 594, 2219, 602, 538, 713, 8400, 621, 1522, 581, 5363, 547, 8524, 519, 1198, 540, 519, 12345, 540, 1114, 1134, 8153, 5515, 538, 1686, 547, 5351, 538, 1620, 875, 519, 18463, 540, 519, 21903, 5932, 5289, 2208, 269, 594, 729, 1818, 513, 1592, 602, 594, 2219, 649, 1522, 946, 547, 5734, 519, 1164, 2798, 593, 519, 25029, 540, 519, 27857, 593, 891, 2043, 4358, 609, 519, 835, 649, 917, 607, 15284, 667, 269, 17619, 269, 16393, 596, 2161, 1945, 827, 602, 11769, 888, 26244, 281, 594, 993, 14780, 269, 898, 568, 547, 581, 7074, 602, 538, 7234, 1346, 945, 616, 1134, 8153, 1851, 707, 9082, 972, 568, 519, 7872, 602, 1344, 949, 581, 2938, 547, 581, 1808, 547, 835, 11769, 6466, 538, 4890, 640, 519, 1390, 1374, 540, 1995, 568, 1454, 519, 1482, 585, 1142, 11769, 269, 898, 568, 609, 713, 538, 2247, 602, 649, 1131, 1865, 519, 23913, 4229, 799, 6035, 18463, 547, 606, 1367, 563, 2005, 568, 2417, 547, 581, 7074, 602, 538, 519, 2013, 540, 1346, 9988, 25015, 1651, 7568, 622, 1454, 23673, 949, 723, 3144, 1747, 538, 2543, 547, 25749, 543, 31495, 13133, 566, 540, 606, 11769, 779, 4555, 610, 5615, 563, 2171, 4927, 1631, 8399, 547, 267, 4927, 649, 2161, 267, 3717, 540, 519, 2596, 6724, 540, 519, 835, 1634, 607, 15284, 269, 1879, 1022, 11769, 2501, 883, 3791, 29213, 1651, 28271, 267, 1142, 540, 922, 1648, 7740, 568, 14984, 7007, 855, 1590, 581, 15181, 676, 519, 1582, 1210, 1995, 563, 763, 835, 1634, 607, 15284, 2919, 1360, 3533, 909, 998, 2699, 267, 10538, 267, 5835, 267, 543, 3039, 543, 3459, 547, 960, 538, 519, 4544, 18422, 1648, 4099, 693, 513, 13035, 2085, 267, 607, 596, 1131, 2161, 269, 901, 4028, 2208, 729, 1813, 267, 1101, 569, 267, 547, 3105, 10781, 538, 519, 11852, 540, 519, 12345, 267, 2034, 569, 267, 547, 519, 3448, 4313, 543, 16837, 540, 922, 2038, 6228, 267, 3791, 569, 267, 1813, 547, 519, 2178, 7287, 2390, 519, 851, 540, 519, 11769, 547, 3356, 269, 901, 11769, 544, 730, 609, 606, 11769, 4171, 4544, 18422, 21513, 941, 540, 513, 4222, 811, 982, 3160, 547, 922, 1378, 3976, 16565, 18463, 585, 2417, 2208, 538, 602, 1858, 602, 729, 547, 6414, 2429, 519, 1651, 28271, 563, 1607, 11769, 1185, 930, 7411, 609, 4797, 3039, 18422, 2534, 1813, 547, 519, 7050, 1648, 799, 729, 2322, 883, 519, 2238, 3823, 824, 268, 2383, 538, 519, 23673, 2509, 16565, 1379, 269, 901, 729, 547, 723, 922, 17167, 2390, 519, 2168, 6174, 267, 607, 596, 949, 1289, 621, 269, 634, 20159, 540, 519, 1875, 332, 913, 618, 540, 513, 6712, 540, 519, 2168, 6174, 8118, 2899, 1586, 267, 585, 713, 11769, 267, 519, 4316, 585, 5834, 2390, 519, 811, 267, 4927, 649, 2161, 267, 8471, 610, 4998, 2065, 3344, 540, 1379, 282, 602, 568, 267, 519, 1875, 629, 15133, 946, 540, 1379, 269, 4935, 693, 519, 856, 3553, 540, 513, 11350, 545, 846, 2962, 713, 11769, 1185, 4503, 930, 2318, 8701, 640, 1813, 547, 7050, 946, 540, 519, 10538, 543, 5835, 18422, 19367, 693, 519, 13258, 540, 3039, 543, 4544, 18422, 19367, 267, 1287, 1185, 1036, 7134, 519, 8701, 640, 1813, 547, 519, 29512, 2360, 540, 513, 11213, 20159, 2390, 519, 2168, 1950, 563, 1607, 11769, 729, 711, 540, 513, 11350, 545, 846, 2470, 855, 2864, 1282, 519, 4655, 4797, 547, 5854, 622, 538, 3039, 18422, 2324, 609, 519, 4544, 18422, 19367, 269, 634, 11769, 945, 729, 519, 835, 1634, 607, 15284, 779, 4116, 849, 1599, 539, 7494, 1282, 713, 1974, 607, 4544, 18422, 1437, 1807, 267, 711, 1152, 585, 922, 19898, 855, 849, 538, 513, 811, 8471, 4082, 269, 901, 11769, 8701, 1242, 11179, 538, 513, 2318, 6752, 538, 519, 8471, 2631, 1247, 267, 538, 513, 1447, 8471, 2631, 267, 3384, 513, 4806, 540, 1018, 949, 581, 1572, 737, 12609, 282, 713, 737, 12609, 2348, 547, 798, 609, 11375, 1301, 517, 1190, 2078, 1253, 25344, 609, 519, 19898, 270, 974, 12329, 563, 4375, 269, 1015, 7726, 518, 281, 594, 2631, 602, 972, 568, 4829, 995, 2666, 585, 7634, 540, 938, 1646, 538, 16439, 519, 4720, 540, 519, 15629, 1648, 7740, 1317, 891, 5722, 7740, 3100, 547, 581, 5532, 609, 782, 540, 519, 694, 26223, 602, 594, 12038, 540, 5892, 267, 543, 891, 3100, 547, 581, 3844, 547, 938, 1378, 1646, 269, 16393, 596, 4766, 519, 1184, 540, 4720, 540, 891, 15629, 1648, 7740, 4358, 609, 519, 1034, 18642, 1106, 540, 1272, 547, 723, 873, 888, 26244, 281, 594, 993, 14780, 269, 901, 1570, 814, 1044, 4988, 5892, 547, 930, 6708, 269, 4475, 267, 649, 4927, 711, 10956, 1344, 2390, 799, 12345, 17743, 538, 1101, 543, 2034, 5860, 543, 519, 1141, 325, 2803, 540, 713, 267, 855, 2864, 3801, 547, 23822, 2390, 713, 1344, 563, 763, 2596, 11358, 2798, 540, 1142, 1377, 540, 1646, 282, 602, 568, 267, 1142, 5860, 3564, 2034, 267, 949, 581, 2938, 547, 581, 607, 5205, 281, 17616, 267, 519, 2596, 1648, 540, 865, 10777, 2699, 18422, 269, 901, 18422, 949, 581, 6956, 547, 581, 519, 2596, 14304, 18422, 585, 1142, 5860, 269, 898, 4927, 2760, 581, 7873, 525, 322, 2105, 547, 607, 1447, 1271, 610, 11327, 540, 5289, 4720, 267, 585, 621, 568, 519, 5748, 18422, 563, 763, 1985, 5748, 18422, 568, 5835, 269, 901, 568, 519, 1390, 19480, 7723, 18422, 269, 2311, 713, 18422, 519, 2247, 270, 7853, 1494, 11230, 919, 547, 922, 2407, 652, 3666, 269, 634, 2178, 2699, 5924, 1052, 30819, 3641, 2468, 611, 5614, 15236, 519, 11769, 883, 519, 4099, 18422, 540, 3039, 269, 901, 568, 1586, 513, 2596, 18422, 855, 711, 513, 3119, 18422, 563, 1607, 568, 519, 4199, 585, 5289, 960, 269, 1879, 3039, 18422, 814, 1044, 15181, 649, 1265, 519, 3791, 3119, 18422, 1373, 2111, 547, 2253, 14984, 2747, 269, 901, 568, 519, 1101, 3020, 5289, 18422, 538, 602, 782, 19132, 616, 540, 606, 7471, 2247, 270, 7853, 4882, 2869, 527, 2470, 269, 634, 4544, 18422, 16295, 519, 1451, 902, 270, 974, 778, 902, 540, 519, 6891, 538, 1142, 5860, 1369, 519, 2247, 270, 7853, 1950, 1918, 908, 519, 2898, 267, 14379, 547, 1866, 713, 30810, 540, 1373, 268, 1145, 563, 763, 967, 15282, 18422, 267, 1498, 10475, 267, 568, 602, 18422, 5249, 2390, 1152, 676, 519, 740, 30794, 267, 607, 596, 1131, 1289, 621, 269, 898, 568, 519, 24891, 547, 10995, 20581, 8744, 10995, 1648, 998, 269, 901, 568, 519, 1648, 4099, 5249, 2390, 538, 1346, 10752, 2808, 6418, 267, 6456, 267, 543, 1624, 738, 267, 585, 713, 18422, 568, 602, 799, 568, 12808, 538, 922, 7399, 269, 1306, 596, 616, 3222, 267, 1346, 945, 12115, 267, 4001, 267, 543, 960, 585, 519, 29763, 538, 1022, 1259, 799, 949, 581, 2938, 547, 581, 1312, 32689, 543, 7059, 616, 1346, 2238, 799, 616, 967, 15282, 18422, 563, 2026, 596, 616, 3222, 267, 519, 642, 14489, 18422, 568, 3586, 543, 1281, 711, 4137, 883, 513, 4901, 540, 519, 3252, 540, 18422, 11852, 538, 602, 621, 568, 519, 1665, 267, 519, 11578, 267, 519, 3961, 267, 519, 3020, 19089, 540, 606, 11769, 563, 2412, 269, 272, 7726, 518, 281, 594, 2219, 602, 594, 1131, 1118, 513, 3948, 543, 1577, 596, 2953, 621, 269, 594, 6557, 3843, 547, 1118, 513, 2241, 2203, 540, 519, 6712, 540, 519, 7122, 602, 649, 1265, 6000, 538, 269, 18786, 609, 519, 1016, 6441, 690, 657, 267, 938, 3141, 267, 649, 723, 3043, 1769, 32338, 908, 689, 713, 799, 568, 1500, 909, 540, 519, 12451, 8151, 689, 519, 2699, 547, 519, 642, 14489, 269, 594, 993, 14322, 602, 713, 3043, 1769, 1287, 3568, 519, 2833 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 711, 1175, 513, 11477, 1995, 282, 621, 568, 606, 15138, 11812, 540, 26768, 2528, 269, 12465, 2575, 267, 7544, 12644, 267, 543, 9423, 7886, 1419, 13173, 519, 7594, 267, 3246, 5171, 609, 513, 19214, 883, 519, 3638, 7499, 543, 2686, 6561, 540, 519, 3148, 269, 634, 24754, 20054, 540, 27120, 267, 519, 1000, 20071, 540, 25249, 24224, 538, 7524, 24853, 267, 543, 519, 5283, 21288, 12490, 540, 2757, 7405, 1711, 606, 5790, 540, 7908, 2032, 543, 4276, 563, 763, 17776, 281, 14484, 687, 543, 681, 1197, 773, 454, 2026, 519, 6640, 9390, 1760, 926, 14405, 547, 513, 2673, 267, 543, 5171, 5965, 547, 4734, 519, 22539, 9784, 540, 519, 546, 17480, 267, 519, 4342, 601, 1286, 24170, 2306, 922, 1259, 1394, 269, 634, 2132, 3460, 267, 899, 519, 856, 20129, 7045, 267, 568, 606, 4316, 585, 8086, 543, 26871, 773, 269, 634, 3500, 10605, 540, 519, 1286, 24170, 2636, 5171, 547, 10110, 519, 5898, 540, 519, 9390, 2899, 811, 267, 8876, 609, 873, 519, 8823, 540, 513, 6640, 14869, 539, 538, 2245, 267, 11477, 1642, 2074, 267, 543, 519, 15851, 27559, 540, 519, 26768, 5251, 563, 17457, 29110, 2583, 281, 21344, 28673, 609, 12634, 1290, 325, 2176, 454, 4407, 7184, 12082, 538, 2245, 267, 2413, 18953, 3986, 519, 6640, 9390, 1760, 926, 1995, 269, 1290, 13025, 27939, 12417, 267, 3318, 10274, 267, 543, 10357, 7888, 2853, 3565, 547, 513, 15774, 543, 11791, 7045, 269, 634, 10014, 540, 3486, 30756, 4315, 267, 29225, 267, 543, 8192, 3681, 9356, 519, 4207, 8561, 593, 23695, 547, 3309, 7375, 543, 2870, 606, 8537, 1604, 585, 5171, 563, 6962, 281, 589, 7033, 6804, 24135, 12960, 1133, 9110, 1091, 454, 21615, 1046, 532, 593, 513, 4342, 601, 1286, 24170, 693, 21554, 585, 513, 6640, 9390, 1760, 926, 568, 811, 982, 513, 3460, 282, 621, 568, 606, 27356, 8124, 883, 519, 2295, 540, 26768, 5389, 267, 1141, 519, 2250, 543, 1459, 27721, 16900, 269, 634, 24754, 3460, 540, 519, 4342, 1564, 267, 519, 30811, 4778, 540, 519, 3141, 23438, 267, 543, 519, 11477, 21649, 9624, 519, 546, 17480, 1711, 513, 13795, 540, 2833, 602, 24889, 609, 519, 9759, 540, 519, 9390, 543, 922, 1004, 563, 763, 4342, 601, 1286, 24170, 693, 21554, 267, 28285, 538, 519, 16505, 9724, 538, 519, 14480, 525, 267, 568, 513, 11812, 540, 2506, 597, 10620, 24756, 267, 6043, 267, 543, 519, 15851, 4276, 1063, 519, 9390, 543, 922, 11317, 269, 1306, 5171, 521, 2948, 1142, 11116, 267, 11303, 676, 519, 22471, 1006, 540, 519, 546, 17480, 543, 519, 30172, 540, 2686, 12644, 267, 789, 1831, 851, 540, 513, 1650, 602, 21018, 2066, 5553, 12544, 1650, 540, 513, 1004, 267, 741, 4342, 1564, 267, 543, 519, 22539, 9390, 21554, 269, 769, 519, 29066, 540, 519, 1286, 24170, 267, 513, 9371, 540, 2245, 543, 24756, 5170, 547, 11200, 267, 18136, 1866, 547, 6443, 538, 519, 15851, 27559, 540, 519, 6640, 9390, 1760, 926, 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 ]
[ 269, 5502, 267, 621, 11363, 519, 1871, 543, 4502, 540, 1169, 1367, 267, 14344, 543, 8383, 908, 741, 2189, 14715, 9043, 269, 1635, 7598, 2994, 602, 6536, 10014, 267, 1582, 14194, 22106, 2329, 267, 543, 5698, 267, 4648, 666, 1711, 11215, 1565, 5054, 1141, 1762, 4079, 609, 10295, 666, 21707, 27268, 267, 13998, 267, 543, 14156, 269, 853, 11691, 32448, 540, 1699, 1382, 543, 3466, 267, 4101, 5739, 11475, 267, 543, 7586, 4328, 519, 9739, 540, 5778, 323, 1853, 7217, 2043, 786, 2417, 4434, 519, 2014, 540, 10295, 10343, 543, 3565, 547, 513, 811, 17519, 543, 8537, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 24445, 7089, 281, 17459, 293, 10396, 299, 12114, 4937, 14635, 4534, 681, 297, 2004, 277, 476, 1708, 271, 454, 21893, 3056, 1576, 1257, 543, 19995, 4704, 814, 1044, 14916, 15428, 609, 476, 3445, 260, 1007, 1543, 267, 8720, 513, 6626, 2039, 540, 1126, 543, 15730, 2042, 538, 811, 13801, 11271, 269, 8871, 5799, 8128, 1683, 513, 3102, 5943, 585, 2963, 2861, 4879, 269, 3465, 5034, 616, 2409, 543, 2645, 585, 3384, 2500, 21904, 543, 2013, 30422, 267, 2679, 2178, 2126, 4566, 267, 5464, 3356, 267, 543, 25643, 4093, 269, 30667, 616, 14095, 609, 4052, 5583, 267, 13561, 7515, 267, 543, 3732, 7405, 269, 16503, 13577, 2013, 1570, 568, 3769, 4799, 24445, 7089, 281, 17459, 293, 10396, 299, 12114, 4937, 14635, 4534, 700, 289, 9083, 278, 269, 4649, 476, 1708, 271, 454, 2690, 4791, 9439, 267, 1153, 16895, 267, 543, 2069, 3173, 267, 1533, 6361, 7308, 19603, 1382, 568, 10244, 539, 547, 1683, 4052, 7840, 585, 1346, 2324, 609, 1153, 21943, 1453, 269, 901, 1433, 2982, 596, 519, 7744, 3297, 1655, 2259, 5615, 538, 1153, 5054, 543, 1946, 2502, 7157, 530, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 11671, 323, 1751, 1315, 20150, 20504, 766, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 30765, 543, 15348, 538, 5840, 18025, 531, 32347, 692, 7072, 912, 5970, 596, 2479, 4862, 827, 519, 4655, 1063, 5840, 529, 543, 13114, 29562, 286, 898, 779, 513, 7294, 3390, 602, 814, 1044, 2469, 593, 585, 1082, 1296, 269, 2290, 1259, 649, 666, 1174, 621, 1732, 568, 998, 12416, 256, 1635, 3168, 693, 4249, 267, 9413, 267, 543, 7641, 2982, 2813, 676, 1004, 689, 1312, 5011, 267, 649, 666, 1451, 811, 827, 741, 5380, 543, 4606, 2509, 1142, 824, 269, 901, 786, 948, 721, 1294, 875, 1148, 543, 6214, 616, 4448, 538, 713, 3148, 1572, 519, 5664, 5101, 780, 6637, 476, 272, 281, 4197, 519, 18366, 454, 6524, 11362, 883, 519, 6575, 6429, 267, 1577, 779, 1101, 1174, 1018, 519, 18303, 6261, 531, 652, 15687, 4655, 568, 782, 827, 269, 26023, 267, 891, 1079, 2516, 723, 1114, 8369, 3823, 945, 1058, 2661, 1141, 543, 875, 789, 1058, 2671, 2200, 899, 1216, 543, 2244, 269, 2755, 972, 616, 3646, 1373, 1500, 547, 1265, 3435, 267, 22195, 3136, 1813, 547, 3140, 2621, 267, 3909, 4978, 267, 543, 2797, 4128, 780, 6637, 476, 273, 281, 10289, 24752, 30765, 454, 3086, 602, 649, 917, 513, 3787, 811, 827, 519, 3510, 267, 1577, 779, 1413, 693, 930, 1568, 2813, 676, 13114, 29562, 269, 1280, 1383, 267, 968, 763, 27119, 613, 892, 568, 513, 1404, 2854, 676, 14642, 1998, 323, 1325, 5733, 686, 799, 6645, 519, 1650, 540, 513, 1920, 2713, 896, 26362, 1282, 519, 13323, 2782, 269, 3414, 8384, 610, 2542, 971, 4773, 267, 649, 1205, 4030, 883, 519, 3232, 9620, 5185, 676, 13114, 29562, 543, 875, 789, 2769, 2933, 21176, 5103, 2352, 6381, 780, 6637, 476, 274, 281, 24531, 18303, 30765, 454, 4002, 519, 824, 2427, 267, 18303, 5159, 849, 1711, 3532, 5559, 553, 10452, 741, 2833, 543, 5784, 269, 589, 8037, 960, 568, 968, 27288, 17268, 892, 676, 12390, 5255, 2274, 9109, 267, 799, 9388, 609, 4798, 540, 2112, 543, 5208, 1247, 15819, 8103, 269, 1635, 6313, 891, 1568, 267, 649, 1376, 1620, 519, 10848, 1369, 18303, 2486, 543, 922, 2078, 609, 922, 12543, 780, 6637, 476, 275, 281, 20710, 3101, 29435, 525, 998, 21664, 454, 15919, 267, 5159, 689, 1312, 2950, 12840, 1927, 547, 3132, 26374, 3785, 269, 1323, 3236, 568, 519, 17245, 4670, 968, 23220, 2478, 2223, 9859, 676, 645, 269, 313, 269, 7108, 6199, 267, 3807, 710, 1744, 777, 10098, 267, 543, 24883, 12157, 5964, 269, 8606, 7825, 5474, 4553, 1453, 689, 6014, 17260, 543, 24752, 21345, 13122, 936, 1896, 1296, 267, 3246, 1350, 31663, 525, 883, 3838, 13922, 267, 12194, 267, 543, 9909, 2066, 17337, 269, 6270, 18129, 13686, 519, 1761, 1379, 540, 5698, 9624, 1193, 1057, 780, 6637, 476, 276, 281, 4635, 8551, 607, 31197, 454, 15563, 267, 1577, 779, 2263, 875, 12416, 666, 4196, 607, 513, 1907, 585, 14223, 269, 3509, 4249, 267, 8874, 267, 543, 12644, 2832, 547, 6318, 4656, 827, 519, 2152, 7133, 1004, 538, 5840, 18025, 531, 32347, 269, 1358, 8300, 13588, 11451, 547, 26003, 1125, 267, 13599, 1866, 267, 543, 1491, 2962, 269, 6201, 1331, 968, 7069, 8745, 1772, 24981, 4856, 4471, 2223, 513, 1404, 1759, 593, 1483, 3734, 15737, 2854, 676, 606, 1977, 19191, 7166, 538, 717, 18054, 267, 543, 1585, 7544, 24299, 1210, 3350, 547, 6655, 2984, 540, 4708, 267, 6043, 267, 543, 9322, 780, 6962, 912, 1103, 3932, 267, 4974, 12416, 543, 6214, 538, 5840, 18025, 531, 32347, 2636, 721, 547, 5490, 4514, 883, 519, 2729, 540, 1346, 3238, 538, 519, 4655, 269, 1284, 8275, 602, 3297, 1169, 3377, 2212, 1467, 6013, 1480, 2984, 1032, 940, 547, 581, 5143, 269, 1924, 1985, 942, 950, 1565, 827, 3486, 7526, 267, 3314, 602, 1148, 1107, 2436, 16222, 267, 4670, 267, 2575, 267, 610, 7544, 1107, 3091, 3407, 9486, 883, 1620, 3309, 5380, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12606, 6820, 9314, 338, 281, 11193, 3203, 9737, 5101, 1656, 4639, 630, 3725, 752, 5406, 7734, 454, 16829, 593, 4864, 2073, 476, 1001, 278, 538, 1452, 2270, 618, 763, 267, 7543, 547, 835, 1776, 8499, 5781, 607, 547, 2933, 267, 1131, 1586, 1832, 1044, 941, 621, 711, 585, 741, 4647, 6820, 9314, 338, 281, 11193, 3203, 9737, 538, 513, 14816, 540, 10163, 20753, 10456, 1158, 13668, 269, 769, 713, 15837, 267, 14233, 543, 2164, 540, 11132, 3441, 267, 1401, 4624, 676, 741, 3593, 1790, 904, 267, 616, 585, 1184, 267, 1603, 267, 695, 580, 749, 2670, 267, 18102, 1858, 1134, 1134, 7384, 269, 634, 946, 666, 4283, 2686, 855, 621, 3947, 865, 711, 7328, 2389, 1335, 539, 269, 3768, 730, 10456, 568, 835, 11052, 282, 6733, 1575, 2319, 267, 1152, 1776, 269, 1411, 267, 519, 5690, 267, 7345, 1991, 267, 1312, 16924, 543, 562, 1405, 267, 519, 11186, 4087, 538, 5856, 540, 596, 269, 15295, 3059, 3993, 12326, 798, 3370, 269, 2228, 5837, 1858, 609, 1199, 1023, 540, 8666, 3643, 6402, 602, 666, 1867, 2404, 538, 2564, 6749, 8083, 269, 1809, 713, 24973, 10305, 930, 540, 519, 1296, 538, 19696, 873, 269, 1358, 4444, 513, 824, 15163, 602, 666, 10826, 593, 16559, 3268, 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, 291, 18769, 543, 15348, 538, 5840, 18025, 531, 32347, 257, 607, 851, 540, 834, 11403, 24717, 1315, 5664, 8109, 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, 519, 8748, 1158, 540, 2780, 5752, 256, 4653, 649, 2811, 2469, 547, 4685, 883, 1945, 1572, 519, 834, 299, 4673, 767, 17563, 2437, 799, 2337, 721, 1628, 3579, 7270, 543, 3156, 1210, 513, 1893, 1572, 23285, 269, 5213, 1405, 5855, 952, 596, 10093, 1405, 4862, 827, 891, 2474, 1354, 282, 676, 519, 1439, 540, 713, 3296, 267, 596, 3513, 723, 513, 4396, 1620, 540, 1018, 621, 781, 782, 827, 2439, 5575, 1055, 267, 1577, 781, 2911, 827, 23285, 269, 5994, 23285, 899, 513, 9589, 1907, 7901, 2407, 540, 1114, 2645, 602, 948, 596, 4020, 5863, 1919, 593, 519, 2622, 22453, 5680, 1107, 1732, 1634, 607, 519, 4950, 269, 1452, 2645, 1450, 596, 547, 1711, 7317, 7270, 1141, 1004, 666, 2671, 1344, 267, 1404, 3756, 267, 610, 1256, 6300, 2228, 2439, 3086, 267, 4605, 713, 281, 1247, 2324, 609, 707, 17134, 5896, 23285, 1907, 7901, 267, 596, 5469, 602, 930, 4247, 1491, 3476, 982, 1866, 610, 1831, 16625, 269, 2334, 781, 1141, 938, 3659, 267, 519, 700, 4673, 767, 17563, 267, 2501, 538, 256, 6056, 540, 700, 4673, 767, 607, 513, 2706, 5363, 13930, 602, 6487, 875, 547, 10891, 707, 1907, 7901, 7561, 267, 3850, 596, 547, 2347, 1346, 32462, 26050, 5488, 543, 1445, 593, 2870, 9735, 2934, 585, 707, 3896, 269, 898, 814, 840, 32472, 3334, 4481, 2966, 547, 4688, 942, 950, 2679, 1357, 3156, 267, 865, 596, 1810, 1405, 723, 547, 1376, 689, 15072, 1169, 2582, 942, 780, 4131, 803, 2285, 596, 513, 1483, 3734, 1383, 547, 9414, 713, 1523, 1732, 269, 14597, 596, 1616, 547, 1628, 513, 2241, 8468, 1141, 3755, 666, 2022, 8292, 269, 15380, 267, 596, 1131, 991, 547, 2328, 3009, 547, 6023, 3593, 14261, 267, 2845, 1231, 267, 10957, 759, 1115, 267, 543, 1287, 5883, 9708, 543, 8292, 12544, 2603, 540, 960, 256, 1717, 267, 609, 519, 6351, 540, 519, 22800, 700, 4673, 767, 17563, 267, 1454, 540, 713, 5230, 17666, 568, 2907, 2944, 585, 596, 269, 1411, 666, 3274, 946, 922, 3710, 2987, 2645, 547, 4383, 17452, 630, 12528, 21189, 8631, 1070, 543, 6108, 811, 942, 13167, 606, 15813, 8818, 585, 20171, 543, 2542, 6835, 269, 901, 1259, 267, 596, 3513, 581, 2111, 547, 1020, 6198, 7270, 3533, 543, 3927, 267, 6028, 7899, 540, 4055, 585, 1187, 543, 5876, 780, 763, 1655, 851, 286, 1403, 596, 2479, 1265, 3054, 3206, 267, 834, 296, 4898, 952, 594, 1223, 798, 713, 8335, 8119, 700, 4673, 767, 781, 3893, 707, 1394, 269, 4706, 8465, 2470, 2636, 9367, 547, 3362, 12189, 543, 8831, 4540, 10342, 267, 1818, 621, 3501, 585, 15268, 547, 2189, 1788, 4170, 269, 1924, 2436, 596, 5326, 540, 3384, 1514, 2923, 5867, 267, 552, 19645, 4609, 267, 610, 3872, 2200, 267, 700, 4673, 767, 786, 7668, 596, 547, 2490, 707, 5075, 883, 4641, 780, 2026, 2104, 13798, 619, 267, 3314, 602, 1565, 1007, 4066, 568, 1898, 547, 9363, 6619, 540, 519, 3014, 269, 4634, 1498, 13215, 10850, 899, 700, 4673, 767, 949, 3100, 18447, 7620, 267, 2141, 7618, 3054, 602, 7279, 543, 8990, 616, 3532, 16167, 538, 707, 3460, 2509, 4742, 21295, 1966, 1151, 951, 269, 2060, 2259, 543, 18094, 267, 4166, 2614, 267, 596, 1932, 786, 10244, 519, 1379, 540, 23285, 543, 700, 4673, 767, 547, 3142, 6909, 1357, 2833, 547, 1272, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 20442, 616, 17849, 2336, 2171, 616, 3168, 585, 513, 11068, 30071, 767, 7982, 7736, 3763, 619, 609, 5140, 5752, 1983, 547, 6443, 938, 2319, 269, 1284, 991, 513, 1268, 945, 607, 513, 851, 540, 513, 2319, 666, 1711, 3810, 27249, 267, 2688, 14184, 1357, 8924, 602, 1082, 3755, 2170, 3232, 563, 272, 269, 25328, 538, 8950, 7070, 563, 273, 269, 31727, 547, 1982, 14804, 569, 538, 513, 1357, 1893, 630, 7093, 2536, 762, 11759, 23285, 267, 700, 4673, 767, 5943, 994, 274, 269, 31727, 547, 1685, 538, 513, 3728, 19550, 21120, 12454, 1604, 563, 275, 269, 15443, 573, 919, 945, 1589, 789, 666, 9772, 713, 1604, 543, 616, 1434, 6267, 616, 9415, 547, 4019, 269, 1280, 811, 3877, 267, 6494, 707, 22008, 693, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 3220, 7671, 2904, 7615, 729, 4663, 532, 570, 1168, 802, 12064, 4659, 950, 646, 1558, 782, 11361, 6989, 30823, 1547, 16352, 1634, 602, 519, 11361, 4807, 1185, 5249, 972, 585, 1082, 1296, 267, 515, 4280, 1200, 547, 2995, 1864, 827, 519, 1686, 540, 713, 1747, 269, 672, 834, 296, 1810, 1405, 1589, 594, 666, 2995, 596, 4376, 269, 8117, 594, 1223, 1397, 596, 1945, 1701, 9515, 3576, 1010, 1688, 543, 3366, 1864, 1524, 547, 519, 25810, 896, 519, 9510, 3296, 540, 519, 2679, 1701, 6546, 781, 1141, 789, 1031, 547, 1832, 7788, 773, 1701, 672, 834, 8005, 729, 7788, 773, 8119, 672, 834, 2304, 22448, 729, 513, 1762, 8004, 945, 729, 4547, 538, 1934, 1317, 18864, 1223, 798, 4376, 609, 1200, 2529, 515, 9364, 11116, 543, 3458, 600, 543, 12235, 1200, 1426, 693, 1004, 7868, 7189, 543, 11923, 7948, 1405, 1256, 4983, 1200, 15660, 729, 1152, 513, 1906, 1296, 7820, 982, 1200, 8885, 543, 594, 1031, 547, 1589, 15660, 15983, 1131, 13842, 547, 581, 19526, 909, 899, 602, 15660, 4941, 547, 948, 1200, 267, 8117, 594, 4769, 1405, 723, 1022, 2856, 1018, 594, 1223, 798, 2529, 334, 594, 1175, 19323, 1200, 930, 6960, 625, 835, 3781, 1310, 960, 7868, 1985, 1554, 594, 4547, 873, 538, 15660, 15336, 5402, 547, 1200, 21799, 543, 594, 3893, 856, 540, 972, 1175, 607, 3728, 607, 594, 1223, 1317, 594, 729, 12922, 1352, 1522, 12235, 873, 693, 803, 269, 3719, 1352, 4769, 1405, 2529, 515, 2965, 3576, 519, 6960, 625, 543, 17696, 873, 269, 5475, 602, 267, 9917, 729, 1175, 513, 2370, 3787, 12137, 518, 547, 803, 950, 594, 729, 1472, 269, 4517, 3006, 594, 9364, 2911, 547, 1200, 269, 5629, 267, 296, 1256, 3893, 1200, 28617, 269, 3080, 540, 519, 11923, 8068, 713, 543, 1352, 5143, 519, 4387, 269, 5445, 4280, 803, 952, 561, 9364, 948, 873, 609, 7788, 773, 15660, 1767, 594, 1131, 952, 594, 1223, 15660, 4682, 883, 519, 21799, 1101, 543, 6045, 543, 1608, 4364, 1200, 1524, 543, 4371, 1200, 1688, 267, 6518, 568, 875, 789, 4362, 602, 7788, 773, 729, 3592, 9420, 1701, 3267, 1879, 24796, 918, 11839, 4607, 519, 17587, 15356, 267, 9917, 729, 4280, 945, 1185, 519, 6574, 1764, 593, 1200, 1272, 543, 1352, 1767, 267, 476, 834, 2304, 22448, 590, 29229, 1701, 476, 1809, 7788, 773, 1767, 2437, 5591, 24796, 7868, 4807, 945, 1185, 519, 6574, 3310, 593, 1312, 938, 2729, 729, 513, 6989, 30823, 693, 519, 570, 1168, 802, 12064, 4659, 1701, 2991, 519, 6989, 30823, 5795, 1200, 519, 6960, 625, 267, 2304, 22448, 318, 563, 288, 269, 3459, 547, 3398, 519, 7189, 543, 11923, 454, 289, 269, 2968, 7874, 547, 1200, 454, 290, 269, 28520, 519, 1426, 693, 1200, 454, 291, 269, 5143, 1200, 519, 5168, 454, 12585, 281, 645, 0, 9223, 281, 589, 1906, 1296, 3516, 267, 6424, 1185, 519, 2856, 540, 9513, 7131, 338, 936, 519, 5769, 269, 1261, 3323, 1010, 960, 689, 1010, 1753, 269, 3767, 646, 23619, 936, 476, 4335, 267, 1822, 7131, 338, 513, 1032, 543, 814, 1500, 5128, 883, 513, 2929, 18311, 2073, 693, 519, 2085, 540, 476, 2190, 269, 834, 296, 1223, 1294, 602, 713, 729, 519, 2104, 540, 10918, 2437, 3081, 6424, 269, 834, 3963, 1058, 596, 2628, 1269, 1428, 585, 513, 7131, 543, 6108, 519, 942, 543, 519, 2724, 2469, 883, 519, 6300, 286, 1411, 917, 3006, 596, 723, 547, 1265, 513, 1747, 585, 707, 1286, 1932, 269, 1411, 666, 723, 519, 1482, 7131, 585, 3368, 540, 519, 3902, 676, 14467, 593, 707, 2780, 269, 1656, 649, 666, 1265, 1022, 7131, 596, 1616, 543, 3142, 621, 547, 707, 7450, 538, 476, 2190, 3108, 10590, 6424, 1767, 713, 568, 519, 1152, 4098, 267, 834, 3080, 1554, 649, 3513, 798, 938, 10918, 936, 519, 5769, 281, 621, 781, 4443, 267, 18334, 543, 14949, 269, 1744, 3591, 543, 2706, 5658, 1115, 786, 581, 519, 2250, 1701, 1215, 814, 646, 1831, 513, 2929, 18311, 888, 288, 269, 1635, 1818, 1007, 2706, 5658, 1115, 563, 289, 269, 1635, 1818, 22099, 563, 290, 269, 1635, 9513, 2093, 547, 1866, 563, 291, 269, 1635, 9513, 7131, 338, 593, 519, 5769, 563, 12585, 281, 667, 0, 9223, 281, 4841, 693, 513, 3119, 1153, 538, 674, 15120, 17924, 267, 670, 770, 3624, 781, 17540, 329, 1014, 19435, 941, 2838, 547, 2973, 519, 1153, 30079, 547, 948, 873, 1020, 1434, 6208, 269, 1809, 930, 3237, 616, 9244, 1996, 519, 2856, 269, 1358, 666, 1405, 1294, 519, 5383, 540, 1053, 3257, 971, 26050, 476, 1547, 1358, 1589, 602, 519, 1153, 1058, 1683, 1053, 609, 513, 1697, 2069, 267, 711, 519, 4960, 547, 581, 1153, 2973, 619, 269, 769, 1249, 267, 3237, 267, 3506, 543, 2486, 1404, 606, 8449, 476, 1271, 1909, 538, 3384, 519, 1915, 540, 1053, 269, 898, 568, 1434, 585, 3506, 547, 2285, 1053, 971, 4247, 14720, 4085, 1906, 540, 519, 1053, 786, 798, 873, 693, 1753, 269, 4256, 3237, 1616, 873, 547, 798, 6780, 1152, 269, 769, 2487, 1296, 267, 930, 3237, 786, 9041, 950, 1053, 616, 4280, 547, 798, 930, 26050, 538, 3506, 269, 2368, 29153, 827, 519, 3610, 952, 741, 3214, 1205, 10413, 538, 3506, 282, 930, 1256, 4161, 519, 3506, 262, 3450, 2409, 543, 2359, 269, 1306, 513, 1267, 267, 1082, 3119, 3506, 267, 2523, 1346, 538, 2462, 4872, 267, 798, 711, 1577, 1053, 6443, 538, 9205, 2238, 1282, 9397, 267, 4250, 532, 602, 789, 1522, 1205, 10413, 269, 901, 568, 3983, 585, 519, 1646, 540, 1053, 262, 1655, 7907, 269, 1548, 519, 3119, 1153, 538, 674, 15120, 17924, 568, 3257, 568, 4502, 9299, 2358, 269, 23560, 26050, 666, 2322, 513, 2631, 540, 5539, 883, 1053, 262, 8186, 543, 4001, 873, 519, 6891, 540, 3652, 607, 1134, 607, 16542, 269, 4746, 267, 621, 666, 1118, 1053, 262, 538, 17469, 2833, 811, 6209, 269, 589, 3119, 1153, 538, 674, 15120, 17924, 2838, 519, 1053, 547, 476, 9041, 476, 4586, 288, 269, 798, 6780, 1152, 454, 289, 269, 9096, 6780, 693, 1153, 454, 290, 269, 2973, 519, 19209, 454, 291, 269, 2973, 519, 1153, 30079, 454, 12585, 281, 667, 0, 9223, 281, 17178, 28084, 550, 454, 12585, 281, 3575, 4195, 18654, 10433, 609, 1216, 538, 513, 10936, 11480, 269, 21199, 267, 543, 10936, 1472, 7127, 2081, 269, 0, 9223, 281, 634, 1412, 291, 531, 3385, 5689, 580, 11867, 262, 538, 918, 22929, 267, 16444, 20092, 267, 8075, 1018, 10723, 882, 545, 1065, 3176, 547, 723, 20705, 547, 17700, 888, 12585, 281, 5694, 0, 9223, 281, 4340, 547, 717, 2246, 327, 1512, 267, 18801, 894, 24134, 912, 288, 269, 568, 1201, 3176, 676, 5837, 4170, 563, 289, 269, 568, 8719, 2899, 649, 11760, 5837, 4170, 563, 290, 269, 1201, 2373, 13919, 563, 291, 269, 5337, 2803, 13919, 543, 9583, 30283, 621, 563, 12585, 281, 667, 0, 9223, 281, 594, 917, 1631, 602, 519, 812, 945, 2893, 609, 803, 593, 519, 2025, 11308, 24383, 602, 3905, 4832, 3781, 936, 13977, 19317, 1296, 3516, 729, 711, 513, 7381, 812, 269, 1809, 547, 513, 2947, 4458, 2025, 267, 646, 729, 513, 9649, 269, 825, 4495, 1586, 267, 594, 729, 9575, 538, 519, 1647, 540, 6381, 269, 634, 8772, 4535, 540, 3670, 1453, 267, 621, 729, 711, 16613, 602, 594, 729, 2901, 1932, 1762, 610, 1932, 2025, 585, 1945, 269, 901, 3781, 594, 729, 1312, 269, 2755, 1250, 1079, 4816, 14552, 11739, 696, 3330, 519, 2777, 267, 1250, 1614, 4587, 16254, 5129, 609, 2828, 1472, 519, 7944, 267, 1141, 594, 729, 711, 4847, 547, 979, 269, 594, 18423, 609, 9835, 11985, 267, 543, 602, 729, 15502, 609, 803, 269, 594, 729, 1141, 594, 4941, 547, 581, 269, 825, 834, 1320, 1009, 344, 8119, 9835, 11985, 4280, 269, 476, 834, 8133, 257, 729, 1250, 16253, 269, 825, 834, 25898, 596, 899, 547, 2196, 936, 547, 519, 3154, 6728, 972, 543, 1205, 3054, 513, 11480, 540, 3213, 651, 8119, 594, 7948, 1405, 3494, 1250, 10772, 269, 2201, 1250, 1920, 781, 16434, 4747, 267, 3213, 651, 729, 711, 513, 851, 540, 938, 5229, 613, 610, 2732, 269, 589, 1906, 521, 2354, 941, 782, 594, 1185, 2479, 1185, 267, 543, 6157, 2760, 1250, 1378, 11480, 269, 825, 834, 302, 10798, 2437, 594, 14452, 21183, 569, 269, 825, 14956, 2287, 1010, 31329, 267, 9835, 11985, 25009, 803, 547, 4584, 856, 513, 546, 830, 269, 825, 834, 302, 10798, 2437, 646, 1767, 267, 834, 594, 6415, 2469, 547, 3251, 1934, 543, 594, 3513, 2995, 596, 950, 898, 781, 2922, 547, 3444, 269, 1411, 979, 936, 547, 519, 3213, 651, 3684, 267, 1205, 707, 3213, 651, 543, 2097, 1394, 856, 269, 27016, 585, 803, 547, 2995, 596, 950, 621, 781, 2922, 547, 3444, 1394, 1701, 825, 3733, 2295, 11013, 539, 269, 9835, 11985, 4371, 1250, 1688, 17401, 269, 1879, 646, 5143, 803, 621, 729, 2922, 547, 3444, 267, 594, 10443, 5488, 982, 594, 1185, 2479, 2196, 1354, 269, 1234, 2286, 519, 824, 2427, 267, 594, 5828, 547, 1265, 9835, 11985, 269, 1703, 646, 729, 267, 7555, 4010, 1141, 594, 1185, 2451, 1864, 267, 32127, 23217, 269, 594, 530, 8491, 269, 834, 7883, 593, 267, 31657, 909, 2437, 646, 586, 8215, 269, 3213, 651, 538, 1688, 267, 594, 23217, 22415, 1117, 1394, 856, 883, 519, 2038, 10543, 546, 23677, 269, 9835, 11985, 729, 7996, 3461, 569, 269, 1261, 20493, 269, 834, 290, 727, 593, 267, 1631, 2437, 646, 1767, 267, 834, 14725, 1701, 594, 1705, 1701, 834, 10673, 1405, 2479, 798, 602, 4805, 267, 646, 19230, 269, 594, 4371, 519, 3213, 651, 11480, 17401, 267, 31604, 646, 1131, 1118, 803, 13248, 621, 883, 513, 7484, 267, 8297, 1456, 1250, 5326, 269, 1261, 4769, 1405, 269, 2290, 19157, 15179, 540, 519, 4411, 4235, 22799, 1250, 24852, 1560, 269, 594, 1810, 1405, 1589, 594, 2479, 5433, 865, 10583, 269, 898, 666, 581, 18505, 1042, 689, 519, 8574, 602, 476, 9041, 476, 4586, 288, 269, 519, 2278, 2760, 1743, 1678, 3213, 651, 1354, 519, 3905, 4832, 3781, 454, 289, 269, 519, 2278, 729, 21354, 5701, 538, 1010, 1920, 454, 290, 269, 9835, 11985, 729, 519, 1152, 1920, 4759, 945, 13984, 1864, 454, 291, 269, 519, 2278, 5030, 538, 513, 2462, 855, 711, 14547, 1920, 454, 12585, 281, 667, 0, 9223, 281, 3657, 596, 513, 1433, 11988, 286, 1772, 707, 2212, 12758, 538, 513, 1433, 585, 1279, 286, 1403, 865, 267, 7474, 781, 513, 1434, 3364, 269, 2467, 616, 1082, 2640, 547, 2542, 269, 21093, 883, 513, 1434, 3209, 10607, 938, 7924, 1547, 3719, 945, 610, 1018, 7512, 721, 547, 4584, 909, 513, 1433, 543, 1376, 2542, 286, 672, 2986, 1576, 267, 15290, 649, 616, 1762, 267, 712, 3237, 543, 3610, 8300, 721, 676, 10962, 721, 547, 476, 3197, 602, 649, 2648, 734, 528, 2648, 547, 13842, 269, 4517, 972, 616, 519, 4589, 734, 1492, 1004, 945, 6427, 543, 2328, 827, 891, 3197, 269, 14187, 1603, 666, 2731, 6952, 938, 9345, 269, 672, 2290, 2413, 6377, 1453, 781, 2278, 568, 808, 14389, 10611, 578, 1782, 267, 15367, 781, 1634, 585, 1200, 2835, 827, 519, 530, 19123, 267, 295, 14019, 25260, 269, 8310, 1032, 1352, 729, 3957, 607, 513, 262, 32173, 2329, 5869, 262, 1721, 1200, 851, 538, 5355, 1004, 781, 2648, 540, 2542, 7868, 5177, 781, 2817, 17402, 11565, 13752, 1200, 519, 2140, 585, 257, 339, 9506, 513, 5108, 540, 1453, 883, 3988, 1701, 672, 634, 11565, 849, 4378, 10696, 1153, 18244, 28083, 7172, 4115, 543, 3610, 585, 741, 4674, 538, 3843, 547, 1205, 1004, 547, 1224, 7868, 17076, 267, 8361, 654, 1074, 2401, 267, 945, 814, 27577, 2073, 13195, 849, 3957, 585, 519, 2835, 646, 814, 2854, 827, 513, 7911, 609, 1565, 7965, 269, 672, 7335, 2835, 568, 811, 982, 606, 11791, 2250, 830, 282, 527, 666, 849, 948, 1004, 538, 2352, 6381, 7868, 2278, 4793, 654, 1231, 869, 5249, 607, 513, 5856, 538, 30813, 543, 1336, 2542, 543, 7234, 2984, 5280, 14586, 2992, 593, 741, 3270, 540, 7180, 2529, 515, 3081, 257, 25802, 1419, 649, 1131, 723, 5717, 827, 519, 5837, 22315, 540, 513, 1915, 267, 1018, 729, 519, 8404, 540, 476, 18825, 267, 1946, 1705, 789, 13789, 602, 1259, 8119, 1363, 4653, 594, 899, 547, 1224, 23610, 2835, 971, 607, 22808, 267, 3602, 596, 1205, 606, 5813, 883, 519, 476, 2729, 540, 1271, 543, 1134, 8153, 1004, 15660, 849, 2972, 3168, 693, 2951, 2835, 543, 1565, 476, 827, 15322, 543, 1007, 18353, 20193, 781, 513, 1434, 12990, 952, 596, 666, 1405, 3643, 538, 1268, 269, 672, 1809, 519, 1292, 4324, 540, 2542 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5969, 8006, 666, 581, 4957, 609, 8897, 547, 3082, 547, 519, 2816, 693, 1688, 269, 2060, 513, 21318, 540, 7306, 543, 13080, 2139, 267, 713, 3730, 1907, 949, 581, 1031, 693, 1585, 11250, 543, 20555, 585, 6099, 2773, 269, 17828, 585, 1346, 945, 2154, 519, 13418, 540, 8795, 741, 5969, 8006, 267, 519, 28253, 8006, 1439, 1984, 6799, 519, 4998, 3070, 563, 2690, 14253, 532, 998, 9157, 2326, 899, 16243, 5374, 543, 24489, 267, 519, 28253, 8006, 1439, 1984, 568, 519, 1907, 540, 3903, 269, 898, 849, 4274, 569, 20362, 29779, 2326, 971, 607, 11956, 543, 21567, 609, 8897, 269, 5015, 267, 6946, 5546, 616, 513, 30089, 547, 2759, 1210, 713, 1439, 1984, 607, 621, 568, 3810, 28253, 547, 2743, 519, 4170, 540, 1022, 2016, 3337, 543, 2450, 563, 5804, 2577, 1441, 5374, 547, 21567, 543, 11956, 267, 519, 28253, 8006, 1439, 1984, 568, 513, 1283, 1790, 1157, 585, 6946, 11912, 543, 5730, 26048, 532, 269, 3502, 1175, 1022, 1907, 666, 1683, 6111, 543, 8856, 899, 713, 835, 666, 269, 4706, 11108, 2702, 547, 1711, 581, 12069, 609, 4230, 15929, 8897, 2306, 621, 519, 4998, 3903, 585, 2577, 514, 1235, 945, 616, 3168, 547, 1118, 2694, 609, 796, 4818, 668, 2358, 7516, 563, 2690, 2577, 514, 1235, 964, 3931, 547, 2759, 3677, 3334, 543, 1279, 267, 2786, 3515, 267, 519, 28253, 8006, 1439, 1984, 3091, 513, 11684, 3070, 269, 1635, 3274, 14577, 519, 1439, 1984, 547, 519, 5551, 8006, 267, 1950, 4773, 540, 8795, 7306, 666, 581, 2813, 1510, 2348, 547, 6718, 2789, 2645, 269, 1656, 609, 519, 1439, 1984, 779, 28253, 2450, 267, 3755, 666, 3533, 543, 3362, 1711, 9985, 2786, 3515, 609, 8766, 4674, 563, 3528, 1210, 606, 28253, 8006, 1439, 1984, 267, 2577, 514, 1235, 616, 2111, 547, 4739, 5730, 4496, 2694, 693, 513, 1390, 1871, 269, 901, 2413, 1242, 1907, 2337, 3132, 2694, 609, 2312, 7516, 543, 6946, 6272, 267, 782, 1247, 1373, 2653, 543, 6899, 547, 946, 269, 6787, 621, 568, 513, 2816, 602, 3340, 11931, 6111, 610, 3860, 6388, 540, 5546, 267, 519, 28253, 8006, 1439, 1984, 814, 519, 1379, 543, 1761, 547, 4217, 4648, 543, 15908, 1235, 7567, 269, 0, 2026, 513, 1514, 1480, 543, 2696, 781, 13442, 267, 1004, 15025, 609, 1866, 998, 1480, 2792, 263, 5793, 26051, 2792, 1040, 3955, 26051, 2792, 3622, 3322, 1079, 1004, 4171, 5968, 26421, 824, 267, 2436, 789, 2907, 6785, 610, 2760, 1634, 1142, 824, 269, 19161, 518, 543, 2836, 629, 637, 572, 630, 514, 4639, 543, 25306, 267, 1001, 274, 281, 476, 14690, 264, 5156, 621, 568, 2067, 547, 723, 22027, 827, 938, 2702, 547, 3589, 519, 6364, 540, 3355, 13341, 269, 1261, 529, 849, 11130, 602, 519, 20297, 540, 2123, 3347, 616, 9808, 9853, 609, 24604, 543, 2792, 2041, 3699, 519, 3119, 1505, 547, 2569, 891, 24604, 269, 2201, 634, 16763, 9751, 5358, 568, 513, 1982, 602, 729, 23457, 585, 519, 13564, 25808, 540, 12231, 25764, 14716, 7557, 10320, 630, 295, 13967, 264, 6828, 602, 568, 538, 930, 2477, 971, 553, 12868, 267, 6576, 267, 3624, 267, 17111, 267, 3092, 269, 4595, 789, 1376, 540, 519, 1982, 538, 3567, 267, 519, 5171, 2523, 5228, 25280, 269, 12231, 25764, 14716, 7557, 10320, 12868, 1745, 519, 3604, 971, 607, 519, 960, 2916, 267, 2528, 267, 543, 519, 26051, 1915, 540, 519, 5545, 1004, 269, 1452, 3604, 1118, 519, 5171, 1745, 519, 10462, 269, 1635, 7311, 4462, 322, 1643, 1399, 22159, 7869, 267, 713, 1382, 568, 2832, 547, 4983, 24604, 9228, 676, 519, 5171, 2201, 634, 297, 984, 9751, 5358, 540, 25280, 269, 12231, 25764, 14716, 7557, 10320, 12868, 267, 2523, 538, 741, 14375, 2792, 716, 8481, 609, 824, 5171, 689, 3567, 269, 769, 1840, 267, 713, 1382, 6663, 547, 4983, 16045, 1598, 1538, 625, 547, 2569, 891, 24604, 269, 0, 1607, 3992, 568, 851, 540, 519, 8416, 4762, 580, 4851, 609, 4880, 332, 27323, 6092, 563, 1103, 713, 3992, 267, 649, 786, 3382, 912, 268, 634, 1114, 4880, 332, 27323, 2409, 1031, 585, 8848, 1005, 513, 3926, 563, 268, 1215, 547, 6494, 513, 1592, 540, 12122, 12981, 547, 513, 3926, 563, 268, 1215, 547, 1224, 543, 6494, 12122, 12981, 689, 513, 3758, 563, 268, 1215, 547, 4688, 270, 1260, 2466, 519, 12122, 593, 513, 3926, 609, 4880, 332, 27323, 563, 15187, 332, 27323, 2488, 519, 1505, 454, 338, 754, 318, 935, 14808, 27133, 14061, 901, 1505, 3217, 513, 454, 4289, 3890, 540, 12981, 267, 543, 1287, 10039, 873, 547, 519, 3926, 269, 6145, 865, 912, 5570, 1343, 815, 1496, 834, 5793, 2183, 25494, 279, 2580, 834, 1873, 3558, 1636, 7154, 17657, 2580, 834, 1873, 3558, 1636, 17657, 4847, 642, 17427, 476, 1911, 267, 1220, 268, 6110, 2580, 9948, 1775, 657, 318, 28947, 4732, 754, 318, 935, 14808, 27133, 263, 5570, 1343, 994, 2171, 666, 1287, 2845, 538, 547, 519, 3926, 543, 6166, 519, 2242, 723, 1044, 1500, 269, 0, 21026, 8061, 517, 12418, 616, 519, 7887, 2296, 14132, 9742, 6580, 1394, 547, 519, 476, 1626, 628, 2540, 269, 3245, 519, 22236, 540, 4789, 789, 543, 741, 21530, 25600, 723, 3177, 623, 569, 17625, 609, 14132, 543, 10683, 2472, 2429, 621, 779, 1686, 269, 3162, 8061, 517, 12418, 941, 3144, 547, 519, 3345, 1977, 10125, 538, 9645, 2338, 267, 1519, 513, 1906, 538, 519, 2904, 17810, 538, 476, 14341, 271, 543, 1866, 538, 476, 14341, 274, 563, 21026, 8061, 976, 1185, 3964, 2933, 607, 513, 9742, 676, 476, 5197, 271, 267, 4352, 634, 3162, 8061, 517, 4173, 323, 3883, 5980, 540, 4789, 729, 711, 4646, 2394, 476, 6245, 272, 563, 3528, 476, 4489, 273, 519, 9742, 1185, 7753, 1082, 28639, 543, 16668, 7957, 24461, 3007, 538, 519, 1397, 8258, 543, 538, 3084, 8062, 267, 898, 729, 7074, 585, 621, 779, 4028, 2208, 547, 606, 11999, 2450, 1510, 10556, 532, 519, 2298, 610, 7274, 540, 621, 779, 5144, 563, 763, 3162, 8061, 517, 607, 513, 5779, 16073, 2731, 3459, 547, 3035, 1158, 17253, 23146, 1282, 519, 476, 3422, 271, 779, 950, 2597, 3766, 664, 10916, 2968, 2442, 543, 519, 14981, 685, 5140, 2773, 2968, 18931, 563, 1607, 10058, 9742, 540, 7601, 268, 1042, 12418, 267, 630, 14937, 1631, 2934, 538, 519, 9742, 264, 666, 1631, 581, 1336, 519, 1158, 936, 282, 14762, 538, 519, 4411, 540, 4516, 543, 519, 3002, 540, 4000, 563, 5575, 5189, 547, 715, 313, 538, 476, 3422, 280, 741, 1909, 538, 3444, 9960, 585, 14132, 23636, 6454, 568, 1631, 16119, 3964, 609, 801, 338, 4182, 17253, 23478, 13032, 338, 585, 713, 3483, 563, 19853, 8748, 29525, 1118, 873, 2653, 547, 6023, 543, 960, 609, 267, 15980, 873, 519, 11090, 540, 2048, 294, 550, 548, 16902, 1218, 17483, 289, 7517, 8745, 3162, 8061, 517, 454, 8448, 8745, 7183, 454, 289, 7517, 20828, 22447, 267, 29133, 454, 22492, 11872, 10434, 344, 267, 2178, 267, 3728, 25210, 454, 289, 7517, 12025, 24581, 454, 289, 1638, 338, 9737, 476, 6344, 271, 543, 476, 8182, 271, 4846, 454, 290, 3298, 6168, 476, 7785, 547, 476, 10384, 4846, 454, 20458, 570, 16260, 2353, 1849, 23660, 454, 10870, 520, 7822, 6762, 267, 5420, 2699, 609, 7601, 512, 6493, 610, 27975, 569, 4563, 454, 300, 20488, 962, 1752, 6153, 454, 20278, 540, 18882, 4789, 0, 763, 5177, 814, 513, 1279, 543, 3638, 1686, 540, 9525, 538, 519, 2230, 2872, 269, 3245, 519, 5736, 540, 3703, 16106, 24796, 1744, 1301, 534, 1107, 519, 1101, 1480, 689, 519, 5177, 547, 979, 547, 2230, 1107, 547, 2221, 779, 1630, 4040, 5010, 5823, 267, 799, 568, 6059, 547, 581, 4502, 11278, 3445, 5479, 676, 476, 10711, 271, 269, 1656, 1247, 824, 6082, 616, 3168, 693, 741, 3084, 2994, 585, 4742, 2706, 335, 10183, 538, 2230, 267, 1906, 666, 6474, 519, 3178, 540, 7029, 543, 5075, 602, 519, 5177, 814, 7152, 538, 713, 6389, 269, 901, 3018, 729, 1776, 2462, 835, 585, 6628, 779, 2230, 27606, 267, 609, 3377, 602, 649, 616, 593, 3950, 585, 938, 1101, 5010, 10131, 689, 1007, 2230, 1636, 4609, 538, 12397, 13665, 543, 1715, 638, 599, 676, 476, 1708, 271, 267, 607, 1134, 607, 2417, 3877, 827, 938, 16529, 11278, 274, 16818, 5092, 883, 1007, 2230, 1636, 5989, 543, 513, 6216, 20642, 3084, 15177, 4152, 4099, 693, 4639, 22574, 538, 10228, 28790, 563, 20084, 6611, 1636, 32374, 281, 7316, 6496, 621, 5776, 888, 763, 1101, 10131, 689, 519, 5177, 538, 3592, 476, 1789, 1296, 568, 4397, 547, 1491, 1747, 538, 476, 1708, 271, 269, 634, 10131, 6174, 543, 519, 2230, 1636, 11346, 616, 2943, 547, 581, 9672, 269, 634, 4626, 564, 762, 568, 16529, 267, 855, 519, 5177, 6611, 10837, 814, 1044, 2324, 609, 519, 5010, 5823, 547, 1205, 519, 1788, 1055, 519, 2666, 269, 8422, 2230, 7964, 941, 9307, 538, 476, 1001, 279, 607, 1761, 10131, 6753, 912, 1892, 634, 4540, 10131, 3135, 693, 519, 3345, 8862, 652, 5032, 540, 10430, 693, 589, 685, 631, 14833, 710, 267, 799, 814, 1044, 1031, 676, 1507, 15408, 543, 3280, 532, 31244, 2094, 476, 3422, 274, 543, 568, 4397, 547, 581, 5827, 540, 7829, 5010, 31782, 1282, 476, 1708, 271, 563, 1892, 12397, 13665, 23076, 1715, 638, 599, 267, 799, 729, 9307, 538, 4873, 476, 1001, 279, 607, 519, 9053, 3135, 585, 513, 1007, 5177, 2230, 1636, 269, 898, 814, 1044, 2966, 585, 7357, 5010, 31782, 540, 1507, 15408, 543, 568, 4397, 547, 581, 4712, 585, 4238, 4098, 538, 476, 1708, 271, 563, 1892, 634, 9053, 3135, 585, 513, 2230, 1636, 693, 519, 6552, 6532, 540, 634, 700, 19123, 267, 1055, 519, 5032, 540, 12397, 13665, 267, 729, 9307, 538, 5130, 476, 1001, 280, 269, 898, 568, 4397, 547, 581, 2111, 547, 1489, 31782, 689, 476, 1708, 272, 563, 1432, 779, 519, 4643, 585, 519, 1715, 5177, 6611, 7964, 888, 763, 5177, 2230, 7964, 723, 1044, 2966, 609, 1614, 3982, 10131, 6174, 2010, 281, 1507, 9682, 10131, 6472, 267, 5420, 2000, 3424, 7438, 7129, 267, 543, 1804, 31244, 269, 634, 5075, 568, 547, 1118, 519, 5177, 513, 1158, 6205, 538, 519, 2208, 540, 519, 5010, 10131, 543, 2230, 5823, 269, 634, 5177, 568, 4397, 547, 14526, 2047, 609, 519, 15055, 540, 8419, 543, 1715, 6792, 538, 519, 10131, 2344, 607, 606, 4244, 547, 519, 2757, 10131, 6753, 538, 22163, 3624, 543, 6576, 269, 634, 2230, 7964, 616, 4397, 547, 13918, 513, 2647, 2039, 540, 10131, 6472, 267, 1519, 1507, 15408, 543, 1804, 31244, 269, 901, 1797, 513, 3044, 19633, 2196, 3118, 786, 581, 1031, 585, 519, 4130, 10131, 6472, 267, 1247, 519, 3677, 31244, 786, 2154, 513, 3476, 543, 811, 3532, 2196, 3118, 269, 634, 2230, 7964, 616, 4397, 547, 581, 2111, 547, 13918, 513, 2039, 540, 6472, 543, 786, 4183, 606, 593, 21935, 1852, 13486, 543, 2011, 11898, 6808, 2359, 563, 3383, 267, 4208, 12397, 13665, 543, 1715, 638, 599, 888, 763, 5177, 6611, 10837, 568, 5275, 547, 3984, 513, 2039, 540, 5010, 2230, 7964, 547, 2333, 519, 4908, 540, 31782, 543, 1489, 1585, 10131, 6472, 269, 2755, 519, 5542, 1184, 585, 2230, 1636, 4609, 814, 711, 1044, 31889, 267, 8244, 267, 9562, 267, 543, 5989, 616, 519, 1034, 2693, 2188, 269, 12397, 13665, 23076, 1715, 638, 599, 2907, 814, 606, 3964, 2196, 3118, 602, 666, 6023, 1507, 543, 1804, 31244, 543, 568, 3362, 3015, 585, 930, 540, 519, 1158, 779, 1034, 8179, 8584, 1123, 10131, 6753, 269, 12397, 13665, 23076, 1715, 638, 599, 568, 849, 2907, 1753, 547, 513, 14762, 543, 6422, 2230, 4346, 267, 609, 936, 476, 1789, 2230, 5823, 3549, 3238, 538, 3388, 689, 2230, 11935, 1382, 547, 9682, 4070, 563, 1692, 4024, 1284, 9796, 585, 901, 888, 19465, 543, 5665, 1614, 1007, 2230, 7964, 568, 4397, 547, 581, 11278, 273, 268, 274, 5479, 269, 898, 786, 581, 14102, 676, 519, 2230, 1636, 11346, 267, 4352, 519, 5177, 2229, 568, 4397, 547, 2709, 930, 2883, 1489, 269, 769, 1840, 267, 513, 2230, 1636, 5092, 2508, 568, 4397, 547, 581, 3964, 547, 4482, 4357, 5092, 269, 634, 2508, 568, 4397, 547, 581, 7307, 676, 519, 5177, 6611, 10837, 543, 6462, 676, 519, 5177, 1401, 1636, 16010, 267, 799, 786, 1683, 7963, 14104, 543, 6142, 547, 1489, 519, 2508, 269, 634, 11278, 274, 5479, 5092, 538, 2230, 1636, 5989, 568, 4397, 547, 1331, 519, 2196, 3118, 267, 1852, 13486, 267, 2666, 23418, 677, 5989, 267, 543, 4276, 547, 1379, 543, 10618, 5121, 563, 8489, 6496, 519, 1715, 2817, 9412, 564, 13281, 10418, 22067, 769, 888, 763, 5177, 814, 2907, 1044, 513, 1713, 6345, 538, 519, 9682, 543, 2230, 2872 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 556, 454, 5814, 5569, 692, 258, 4179, 2517, 23637, 1478, 6503, 2593, 270, 638, 5465, 270, 26783, 10384, 273, 270, 6343, 338, 7308, 1790, 3155, 545, 17574, 3562, 14025, 268, 1326, 1562, 7146, 1606, 564, 1562, 3097, 258, 7711, 27393, 344, 2636, 1505, 547, 581, 1572, 607, 4610, 910, 1175, 513, 1205, 614, 267, 1100, 7954, 538, 621, 454, 258, 7711, 3553, 614, 267, 630, 1345, 267, 2415, 264, 2415, 568, 1871, 3843, 547, 1305, 267, 2322, 4259, 1852, 7954, 1934, 692, 258, 4147, 602, 6585, 519, 19332, 595, 8327, 1843, 454, 5035, 19332, 290, 8327, 1384, 825, 1948, 1305, 4610, 596, 1616, 547, 8216, 5573, 530, 270, 8629, 1934, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 5048, 267, 1883, 2187, 1038, 1582, 269, 4486, 815, 1883, 454, 1038, 1948, 12404, 1569, 547, 713, 267, 1152, 1616, 1569, 3842, 1232, 11736, 454, 1038, 1582, 269, 916, 326, 815, 5048, 454, 1038, 1948, 570, 7495, 302, 1294, 875, 7711, 27393, 1399, 1568, 609, 891, 267, 952, 594, 1810, 1405, 17551, 538, 1128, 534, 2747, 267, 786, 7711, 27393, 1399, 1869, 454, 1038, 1948, 1450, 891, 547, 581, 1572, 2047, 454, 1038, 1582, 6983, 8327, 17806, 815, 834, 14725, 17278, 3890, 4840, 1038, 1582, 269, 21622, 17806, 815, 834, 14725, 1232, 7973, 3890, 4840, 8931, 825, 1219, 17278, 4311, 2187, 1038, 1948, 1118, 5299, 547, 4573, 622, 538, 519, 535, 343, 333, 454, 1038, 2324, 7659, 815, 1582, 269, 4486, 454, 1038, 2324, 16039, 326, 815, 1582, 11519, 916, 326, 31573, 4590, 1038, 2324, 6311, 815, 29129, 1038, 1948, 1205, 5299, 540, 9904, 454, 1038, 1948, 570, 7495, 302, 1201, 18503, 883, 9904, 7049, 3890, 610, 2147, 454, 1038, 13672, 815, 5569, 269, 30913, 328, 318, 869, 27664, 454, 1038, 13672, 8266, 815, 11713, 1038, 585, 1775, 538, 2039, 12759, 263, 10401, 15892, 2018, 13672, 8266, 6910, 263, 10401, 5157, 7481, 13872, 1038, 1948, 4777, 8144, 267, 1832, 5624, 267, 2387, 320, 319, 2652, 607, 857, 328, 476, 9032, 267, 834, 834, 2652, 476, 3953, 454, 1038, 585, 1775, 538, 2039, 12759, 263, 11529, 16039, 326, 15892, 2018, 796, 3333, 26661, 815, 2324, 16039, 326, 5157, 2639, 2018, 1948, 18178, 3043, 2230, 454, 2018, 952, 3921, 263, 684, 3333, 26661, 264, 2652, 476, 3953, 912, 3546, 2324, 6311, 6910, 263, 684, 3333, 26661, 994, 3546, 3136, 454, 2018, 1948, 4890, 4484, 454, 2018, 3116, 912, 3546, 1948, 2625, 666, 1118, 713, 2979, 811, 15931, 267, 855, 4991, 547, 476, 271, 15010, 1839, 7156, 454, 3546, 3490, 815, 3921, 263, 684, 3333, 26661, 264, 910, 476, 9032, 454, 3546, 1948, 6521, 1210, 13672, 299, 296, 626, 454, 3546, 6521, 815, 13672, 27007, 19668, 1341, 2324, 7659, 264, 4939, 476, 2918, 2639, 3546, 2324, 6311, 6910, 263, 3333, 3424, 994, 4449, 22562, 1038, 1948, 307, 7495, 302, 6521, 5624, 7954, 692, 1038, 1582, 6983, 8327, 17806, 815, 1412, 8339, 21860, 263, 11529, 6311, 994, 1038, 2132, 1582, 6983, 8327, 17806, 692, 825, 1219, 1232, 7973, 4311, 2187, 1038, 23288, 1038, 4908, 2079, 454, 1038, 2856, 912, 2018, 910, 547, 798, 4908, 606, 599, 3149, 529, 267, 991, 547, 1293, 1624, 1248, 576, 540, 1142, 454, 2018, 4484, 538, 519, 29905, 1257, 454, 2018, 910, 621, 781, 4440, 4443, 547, 1293, 952, 621, 781, 15044, 1991, 547, 454, 2018, 10203, 1142, 1367, 4484, 538, 519, 29905, 454, 2018, 910, 865, 267, 29905, 17806, 9847, 29905, 17806, 8266, 9847, 4990, 29905, 17806, 8266, 454, 2018, 910, 1293, 595, 8327, 17806, 8266, 306, 9285, 2049, 928, 576, 540, 1142, 4484, 454, 2018, 910, 979, 689, 972, 454, 1038, 15981, 7531, 825, 1219, 19467, 31374, 4311, 267, 29905, 17806, 2187, 1038, 23288, 1038, 19467, 4990, 25961, 1599, 454, 1038, 29905, 17806, 1193, 454, 1038, 15981, 692, 1038, 1948, 8237, 29905, 5569, 883, 1592, 540, 1367, 1347, 338, 454, 1038, 29905, 8266, 815, 1592, 6262, 8327, 17806, 2020, 1038, 1948, 1592, 547, 4990, 267, 3138, 2073, 6062, 454, 1038, 1582, 31699, 6262, 8327, 8266, 267, 476, 271, 267, 7003, 6262, 8327, 8266, 9984, 272, 267, 2020, 1038, 1948, 15044, 267, 946, 585, 2505, 523, 344, 2079, 538, 1232, 7973, 454, 1038, 2132, 29905, 8266, 692, 825, 1219, 4990, 4311, 267, 547, 31374, 267, 3138, 267, 28624, 2187, 1038, 23288, 1038, 19467, 4990, 25961, 454, 1038, 23288, 1038, 952, 28624, 10922, 3138, 912, 2018, 2132, 692, 1038, 1948, 694, 1007, 4571, 454, 1038, 4571, 815, 3138, 1341, 630, 6062, 910, 3138, 264, 1315, 476, 273, 454, 1038, 1582, 31699, 263, 1729, 31374, 267, 3138, 267, 4571, 994, 1038, 1582, 31699, 263, 1729, 31374, 267, 4571, 1341, 476, 272, 267, 28624, 994, 1038, 1582, 269, 1067, 613, 263, 1729, 31374, 267, 3138, 267, 4571, 267, 28624, 2020, 825, 1219, 19467, 4311, 267, 547, 31374, 267, 3138, 267, 4571, 267, 28624, 17107, 1038, 1948, 1118, 18559, 5044, 454, 1038, 18559, 815, 11713, 13872, 1038, 1948, 1305, 4994, 3950, 619, 454, 1038, 1775, 815, 3138, 454, 1038, 795, 815, 4571, 1341, 476, 272, 692, 1038, 1948, 32476, 883, 18559, 5044, 454, 1038, 737, 815, 3138, 454, 1038, 1247, 737, 10922, 28624, 912, 2018, 18559, 25208, 316, 815, 547, 31374, 25208, 2639, 2018, 737, 6834, 476, 272, 28329, 1038, 1948, 19467, 1394, 883, 547, 31374, 454, 1038, 737, 815, 3138, 454, 1038, 1247, 737, 10922, 28624, 912, 2018, 952, 1775, 3436, 4571, 281, 3097, 3546, 547, 31374, 25208, 316, 815, 18559, 14728, 2639, 3546, 795, 6834, 476, 272, 454, 2018, 8640, 795, 3436, 28624, 912, 3546, 547, 31374, 25208, 316, 815, 18559, 5157, 2639, 3546, 1775, 6834, 476, 272, 454, 2018, 8640, 18559, 14728, 316, 2999, 18559, 5157, 13912, 3097, 3546, 547, 31374, 25208, 316, 815, 18559, 14728, 2639, 3546, 795, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 547, 31374, 25208, 316, 815, 18559, 5157, 2639, 3546, 1775, 6834, 476, 272, 692, 825, 23288, 825, 1205, 1562, 1305, 1562, 454, 825, 23288, 825, 1948, 1883, 1205, 614, 454, 825, 7711, 27393, 1399, 454, 825, 1219, 1883, 4311, 2187, 1038, 2132, 1582, 11519, 4486, 692, 825, 1948, 1883, 15418, 7954, 538, 1934, 910, 8870, 562, 569, 454, 825, 7711, 4486, 15630, 614, 454, 825, 1219, 1883, 4311, 267, 1871, 2187, 1038, 2119, 912, 2018, 1871, 815, 703, 263, 7407, 994, 2018, 1582, 11519, 4486, 815, 1871, 454, 1038, 4849, 28759, 912, 2018, 1820, 2891, 7659, 1590, 581, 8870, 267, 1775, 4318, 269, 476, 274, 267, 476, 276, 267, 476, 277, 2437, 2020, 825, 1948, 20444, 326, 1205, 614, 910, 3625, 1463, 1569, 454, 825, 7711, 27393, 1399, 454, 825, 1219, 20444, 326, 4311, 2187, 1038, 3625, 815, 834, 7224, 1569, 267, 2196, 1232, 7973, 3890, 543, 1289, 3236, 269, 21622, 3667, 4840, 1038, 2132, 3625, 692, 825, 1948, 1628, 538, 5048, 15418, 1934, 910, 1100, 6698, 3092, 563, 825, 7711, 916, 326, 15630, 614, 454, 825, 1219, 20444, 326, 4311, 267, 1871, 2187, 1038, 1582, 11519, 916, 326, 815, 1871, 7531, 672, 7531, 0, 18411, 423, 361, 372, 32510, 506, 476, 274, 563, 424, 486, 360, 28990, 494, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 14091, 364, 505, 424, 499, 482, 10563, 356, 507, 424, 486, 502, 270, 425, 503, 478, 424, 486, 502, 423, 354, 376, 21844, 369, 361, 423, 370, 482, 17432, 502, 32629, 498, 10563, 377, 498, 423, 497, 506, 423, 354, 376, 10563, 508, 495, 424, 482, 365, 17432, 368, 424, 352, 376, 424, 482, 372, 424, 504, 498, 2433, 994, 18257, 692, 15893, 815, 703, 9272, 3488, 424, 486, 360, 28990, 494, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 281, 1412, 4917, 258, 10563, 499, 482, 423, 508, 502, 29306, 494, 10563, 377, 498, 423, 497, 506, 423, 354, 376, 10563, 508, 495, 424, 482, 365, 17432, 368, 10563, 352, 376, 424, 482, 372, 424, 504, 498, 780, 2745, 28840, 4939, 476, 273, 2020, 604, 1297, 4939, 476, 273, 2652, 476, 272, 912, 825, 1820, 3488, 425, 503, 478, 424, 486, 502, 10563, 508, 483, 21498, 486, 30319, 269, 5073, 12828, 912, 825, 1820, 3488, 424, 356, 507, 424, 486, 502, 10563, 508, 483, 21498, 486, 30319, 9538, 2020, 258, 476, 272, 3436, 6936, 454, 258, 476, 271, 3436, 8771, 692, 604, 1297, 4939, 476, 273, 912, 825, 1820, 3488, 425, 503, 478, 424, 486, 502, 10563, 508, 483, 21498, 486, 30319, 269, 5073, 12828, 912, 825, 1820, 3488, 424, 356, 507, 424, 486, 502, 10563, 508, 483, 21498, 486, 30319, 9538, 264, 0, 5228, 31093, 1104, 1357, 323, 18182, 454, 5814, 942, 692, 323, 18182, 815, 1357, 323, 18182, 269, 2419, 4435, 263, 1410, 1815, 17014, 24786, 284, 337, 257, 322, 24097, 22852, 315, 321, 6409, 344, 315, 6853, 577, 1301, 2889, 915, 338, 315, 600, 7571, 315, 323, 31034, 315, 577, 668, 539, 18182, 20216, 324, 5602, 14766, 815, 1412, 10059, 2517, 4178, 269, 600, 7571, 2593, 7055, 14142, 26748, 815, 262, 3650, 10746, 28847, 3698, 3406, 10734, 652, 318, 18522, 318, 14403, 5560, 337, 31918, 267, 14766, 267, 14142, 26748, 2187, 825, 1655, 318, 8688, 619, 815, 32582, 1948, 3553, 585, 10655, 1587, 6402, 454, 825, 9920, 10947, 263, 14766, 994, 825, 942, 4732, 2748, 263, 274, 264, 1948, 2913, 519, 3593, 2965, 1294, 1945, 2336, 825, 2119, 1384, 1038, 952, 1743, 31918, 26098, 21223, 2211, 318, 2421, 16182, 3488, 13512, 582, 629, 14142, 3667, 7901, 262, 1040, 529, 318, 5891, 539, 3890, 2433, 1948, 604, 519, 3406, 3046, 7298, 454, 2018, 1743, 31918, 26098, 21223, 2211, 318, 2421, 16182, 3488, 13512, 582, 629, 14142, 3667, 7901, 262, 1040, 338, 754, 318, 12399, 263, 14142, 26748, 994, 2018, 1743, 31918, 26098, 21223, 2211, 318, 2421, 318, 5035, 12173, 3488, 333, 822, 2987, 1584, 262, 1040, 28781, 4590, 2018, 942, 4732, 2748, 263, 274, 264, 1948, 2913, 519, 3593, 2965, 1294, 1945, 2439, 2018, 1948, 4466, 16776, 799, 3568, 7454, 590, 11839, 267, 922, 2999, 31078, 285, 11090, 538, 519, 2985, 454, 2018, 16776, 815, 1743, 31918, 26098, 21223, 6123, 318, 2421, 9078, 1074, 26748, 3488, 16032, 590, 11839, 5073, 2018, 585, 11090, 538, 16776, 1384, 3546, 1948, 1492, 6221, 547, 581, 1336, 568, 538, 29005, 2820, 338, 454, 3546, 1948, 6588, 526, 2385, 454, 7386, 1948, 8001, 454, 13376, 1948, 12895, 22673, 11090, 692, 3546, 1948, 338, 21262, 454, 7386, 1948, 554, 273, 11090, 454, 13376, 1948, 4890, 29250, 540, 519, 3239, 692, 3546, 1948, 4466, 2385, 11090, 540, 1655, 22673, 476, 272, 1377, 909, 454, 3546, 2385, 4671, 698, 815, 11090, 26098, 21223, 2211, 318, 2421, 13448, 12949, 3488, 907, 5073, 3546, 1948, 4466, 6264, 2385, 11090, 540, 1655, 22673, 476, 273, 1377, 909, 454, 3546, 6264, 7272, 1861, 4671, 698, 815, 2385, 4671, 698, 26098, 21223, 2211, 318, 2421, 13448, 12949, 3488, 907, 17210, 3546, 1948, 4466, 519, 1985, 24107, 799, 2270, 519, 29250, 454, 3546, 521, 756, 4671, 698, 815, 6264, 7272, 1861, 4671, 698, 26098, 21223, 2211, 318, 2421, 13448, 12949, 3488, 32220, 31742, 532, 1606, 21262, 15311, 15965, 17210, 3546, 1948, 3478, 782, 519, 10643, 538, 24107, 454, 3546, 10643, 815, 521, 756, 4671, 698, 26098, 21223, 6123, 318, 2421, 4671, 698, 12173, 3488, 327, 273, 5073, 3546, 1293, 815, 271, 692, 3546, 1948, 13765, 540, 3095, 538, 554, 273, 454, 3546, 585, 2140, 538, 10643, 912, 7386, 605, 323, 9078, 1074, 815, 2140, 26098, 21223, 6123, 318, 2421, 4671, 698, 12173, 3488, 320, 5073, 7386, 585, 3095, 538, 605, 323, 9078, 1074, 912, 13376, 1820, 6262, 870, 266, 272, 267, 3095, 269, 3667, 994, 13376, 1820, 10857, 1074, 10947, 318, 3430, 25572, 3488, 327, 10915, 29125, 13376, 1820, 28361, 333, 5073, 13376, 1655, 318, 8688, 619, 6910, 10857, 1074, 10947, 318, 3430, 25572, 3488, 327, 10915, 10807, 9239, 1038, 2132, 1655, 318, 8688, 619, 692, 825, 4849, 1401, 4003, 607, 552, 912, 1038, 1820, 2891, 10030, 29949, 301, 281, 8253, 2111, 547, 1184, 23099, 2580, 1598, 16216, 11723, 3698, 1039, 15461, 6831, 691, 263, 2889, 323, 9078, 3855, 267, 20142, 31918, 2187, 825, 1948, 585, 1775, 538, 605, 323, 9078, 3855, 912, 825, 1948, 672, 1820, 9217, 2020, 825, 952, 605, 323, 9078, 3855, 912, 1038, 585, 3095, 538, 605, 323, 9078, 3855, 912, 2018, 1743, 31918, 10947, 10857, 1074, 994, 2018, 1820, 10857, 1074, 994, 2018, 9920, 26098, 21223, 2211, 318, 2421, 16182, 2891, 5417, 3562, 2275, 691, 1532, 583, 2023, 20257, 28781, 4590, 2018, 1820, 2891, 7312, 30014, 568, 3773, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 454, 9223, 281, 834, 2080, 2501, 513, 9985, 4570, 4661, 281, 1677, 2253, 609, 267, 1169, 10178, 540, 674, 290, 589, 709, 8619, 568, 513, 10178, 540, 21586, 589, 557, 674, 290, 269, 5047, 267, 3025, 945, 568, 513, 1394, 518, 540, 715, 298, 12358, 385, 378, 1446, 568, 513, 10178, 540, 21586, 589, 557, 674, 290, 267, 1932, 269, 7053, 267, 1169, 10404, 540, 674, 290, 717, 1258, 532, 523, 568, 513, 10178, 540, 674, 290, 589, 709, 8619, 610, 513, 1394, 518, 540, 715, 298, 12358, 385, 378, 1446, 269, 4475, 267, 1169, 10404, 540, 674, 290, 717, 1258, 532, 523, 568, 513, 10178, 540, 21586, 589, 557, 674, 290, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 476, 932, 7860, 281, 3097, 288, 269, 4570, 454, 289, 269, 23380, 454, 12585, 281, 589, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 1007, 24414, 15265, 16009, 16463, 17774, 4580, 834, 536, 834, 15265, 1007, 16009, 24414, 16463, 17774, 4580, 834, 15017, 288, 281, 536, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 1215, 547, 3362, 1930, 513, 19984, 563, 288, 269, 2422, 519, 9133, 540, 513, 14299, 6529, 543, 7148, 519, 2427, 540, 519, 19984, 269, 24135, 782, 1472, 519, 2427, 547, 5305, 519, 2604, 543, 519, 19984, 786, 2285, 1259, 563, 289, 269, 2422, 519, 5230, 9133, 540, 513, 666, 1930, 518, 543, 7148, 519, 2427, 540, 519, 19984, 269, 24135, 782, 1472, 519, 2427, 547, 5305, 519, 2604, 543, 519, 19984, 786, 2285, 1259, 563, 12585, 281, 645, 0, 9223, 281, 22540, 568, 4092, 538, 1018, 4436, 1533, 888, 12585, 281, 536, 822, 926, 7795, 327, 0, 9223, 281, 16661, 10473, 3710, 538, 4683, 2127, 666, 581, 6766, 676, 519, 1480, 13402, 3889, 602, 3295, 891, 10473, 269, 2368, 540, 891, 4365, 10473, 1031, 547, 3313, 1611, 5210, 538, 519, 2136, 2276, 723, 1185, 519, 14496, 540, 519, 1239, 20402, 269, 6904, 1480, 1790, 22004, 1198, 1223, 891, 4683, 4365, 10473, 581, 7893, 888, 12585, 281, 3002, 6532, 0, 1692, 1131, 513, 6093, 1268, 2626, 1142, 540, 519, 1739, 2055, 827, 1757, 566, 2496, 454, 9223, 281, 700, 4768, 773, 15055, 717, 290, 6216, 6995, 269, 717, 290, 568, 3257, 513, 1007, 13319, 585, 741, 1007, 6995, 8137, 1141, 5561, 666, 4309, 513, 1863, 3732, 269, 11426, 619, 786, 4309, 513, 1863, 3732, 952, 2901, 789, 723, 5892, 12349, 6995, 10365, 689, 717, 290, 610, 789, 616, 20401, 539, 547, 519, 717, 290, 4757, 1592, 269, 700, 4768, 773, 814, 5892, 12349, 6995, 10365, 689, 717, 290, 267, 543, 1352, 568, 20401, 539, 547, 519, 717, 290, 4757, 1592, 269, 1879, 1352, 30650, 827, 519, 13319, 267, 700, 4768, 773, 11974, 547, 1294, 952, 1352, 568, 20401, 539, 547, 519, 4757, 1592, 267, 543, 1352, 12034, 602, 1352, 568, 269, 1924, 267, 1352, 1281, 711, 1689, 1200, 20478, 4567, 267, 543, 1352, 3788, 20401, 539, 547, 519, 4757, 1592, 269, 5221, 5561, 786, 4309, 513, 1863, 3732, 952, 2901, 789, 723, 5892, 12349, 6995, 10365, 689, 717, 290, 610, 789, 616, 20401, 539, 547, 519, 717, 290, 4757, 1592, 267, 700, 4768, 773, 11392, 513, 1863, 3732, 269, 9894, 700, 4768, 773, 4309, 513, 1863, 3732, 1317, 1352, 1705, 711, 1689, 1200, 20478, 4567, 888, 476, 932, 7860, 281, 3097, 288, 269, 8786, 454, 289, 269, 3143, 454, 12585, 281, 589, 0, 3891, 4421, 1010, 4015, 540, 6486, 547, 519, 31066, 267, 855, 6854, 519, 5515, 267, 1317, 519, 5515, 1185, 2366, 14939, 1871, 269, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 4065, 543, 18058, 281, 1496, 3650, 518, 316, 1215, 547, 2328, 513, 737, 17671, 5152, 1496, 27583, 316, 6258, 519, 1893, 269, 1496, 21163, 316, 5192, 7759, 540, 1022, 4555, 971, 607, 834, 513, 327, 267, 812, 256, 4208, 1281, 621, 814, 547, 581, 519, 1893, 1101, 286, 8206, 834, 269, 769, 1931, 547, 1118, 513, 737, 17671, 610, 1022, 607, 1014, 1826, 5152, 267, 596, 1590, 917, 519, 1893, 269, 3097, 288, 269, 1772, 737, 17671, 9275, 782, 936, 737, 648, 320, 286, 2107, 568, 737, 17671, 9275, 689, 476, 1960, 271, 338, 286, 5678, 568, 827, 12557, 269, 1403, 737, 17671, 568, 9275, 267, 1287, 519, 5152, 568, 4712, 256, 1496, 27583, 316, 5071, 519, 5152, 563, 289, 269, 4107, 737, 17671, 2477, 723, 737, 17671, 9275, 538, 519, 2197, 269, 1496, 11357, 25074, 316, 11114, 2575, 267, 538, 1880, 267, 814, 737, 17671, 9275, 538, 621, 563, 290, 269, 21434, 1125, 519, 3504, 2575, 936, 543, 936, 538, 707, 2247, 269, 3680, 973, 1746, 737, 534, 10202, 2854, 538, 513, 812, 781, 2012, 607, 621, 568, 25992, 563, 291, 269, 1280, 1893, 948, 267, 596, 666, 1205, 513, 737, 17671, 1893, 20131, 610, 596, 666, 4001, 737, 17671, 3054, 676, 1210, 513, 1433, 269, 1703, 616, 1082, 1114, 2081, 547, 1451, 513, 1893, 543, 1250, 2081, 5749, 1405, 519, 1152, 2081, 563, 12585, 281, 667, 0, 9223, 281, 3371, 781, 835, 1297, 547, 1832, 538, 2247, 1282, 707, 1985, 1591, 6049, 6643, 281, 476, 2004, 269, 589, 1007, 4603, 2982, 602, 7836, 476, 2004, 3764, 609, 606, 3742, 6049, 20399, 909, 547, 519, 1274, 4679, 2534, 538, 519, 2634, 269, 901, 2634, 2534, 4440, 3085, 1405, 1118, 596, 21273, 269, 1879, 1591, 11436, 616, 593, 267, 789, 12520, 567, 1648, 538, 519, 1106, 540, 5982, 602, 1223, 581, 5739, 267, 2523, 1310, 1296, 540, 1591, 6049, 6165, 269, 12207, 1810, 1405, 917, 2943, 2436, 1591, 11436, 616, 3983, 585, 519, 2634, 269, 5525, 899, 713, 835, 616, 12394, 547, 1265, 621, 856, 269, 634, 476, 5325, 5171, 538, 519, 4603, 949, 723, 6743, 513, 2370, 9490, 269, 3962, 835, 1185, 1079, 28932, 2426, 1591, 11436, 7923, 547, 1010, 610, 1200, 2212, 4534, 835, 593, 1142, 1274, 269, 634, 6049, 593, 519, 2451, 1274, 729, 1055, 269, 634, 6049, 593, 519, 1318, 1274, 5129, 513, 5048, 585, 476, 2004, 3764, 267, 855, 519, 5171, 7948, 1405, 5873, 621, 1317, 519, 3280, 729, 1055, 269, 2060, 713, 1305, 5346, 267, 519, 3744, 1223, 581, 2386, 789, 941, 4974, 2634, 2534, 689, 519, 6049, 3294, 267, 543, 711, 2634, 2534, 1813, 547, 6947, 543, 6158, 1282, 513, 6643, 269, 2991, 476, 2004, 3764, 609, 1079, 11436, 2269, 5529, 547, 741, 9843, 267, 519, 5171, 941, 2016, 27946, 18767, 269, 634, 27946, 11571, 4951, 602, 519, 2451, 2427, 630, 1492, 2427, 609, 519, 6049, 5828, 1055, 264, 540, 1142, 16045, 781, 2634, 22821, 1405, 4957, 1282, 519, 4603, 269, 634, 1318, 2427, 540, 519, 2634, 267, 2705, 267, 1185, 1031, 811, 7280, 267, 799, 568, 513, 1826, 540, 4006, 602, 2488, 4492, 547, 2634, 2281, 269, 1452, 1318, 20933, 2634, 2281, 941, 1210, 3592, 607, 1454, 7280, 607, 519, 2634, 3096, 950, 513, 1268, 568, 6158, 269, 901, 5267, 602, 519, 2634, 2281, 972, 941, 3742, 4534, 1256, 1510, 519, 1268, 6217, 4376, 269, 2334, 2534, 267, 519, 3744, 2161, 267, 729, 4440, 3361, 676, 5982, 689, 519, 6049, 269, 8361, 700, 2967, 267, 945, 1568, 693, 519, 2160, 540, 6115, 538, 22208, 267, 568, 13943, 609, 519, 1239, 1644, 547, 1591, 11436, 269, 670, 13783, 513, 1591, 6049, 547, 707, 1274, 1282, 513, 6643, 568, 834, 2254, 2731, 2922, 2437, 700, 2967, 5143, 3163, 5240, 269, 700, 2967, 568, 513, 6915, 19956, 518, 693, 519, 2160, 540, 6115, 538, 22208, 269, 1261, 5206, 606, 2376, 827, 519, 1007, 1353, 585, 513, 4760, 267, 855, 646, 1705, 711, 960, 593, 519, 1353, 269, 12713, 19956, 619, 3142, 1927, 2093, 689, 4702, 543, 7350, 269, 1280, 1346, 945, 1810, 1405, 1616, 547, 7227, 547, 1265, 856, 585, 2386, 2436, 1591, 11436, 616, 3983, 585, 519, 2634, 267, 972, 616, 2081, 547, 2911, 811, 9108, 269, 1411, 666, 723, 2110, 543, 6653, 7391, 267, 946, 513, 10584, 7483, 610, 1832, 519, 6049, 2476, 689, 707, 2212, 269, 7316, 568, 713, 2376, 4440, 3144, 689, 888, 288, 269, 9085, 12139, 563, 289, 269, 3163, 5240, 563, 290, 269, 9452, 2835, 563, 291, 269, 3203, 4750, 563, 12585, 281, 645, 0, 9223, 281, 2368, 3744, 1353, 2592, 540, 1360, 11397, 18477, 4703, 269, 7316, 568, 519, 1655, 4087, 585, 519, 2010, 540, 24985, 602, 666, 1683, 519, 3744, 609, 519, 1579, 11732, 2592, 780, 288, 269, 693, 4262, 1377, 454, 289, 269, 538, 9018, 2230, 454, 290, 269, 593, 7823, 25568, 454, 291, 269, 693, 2362, 4234, 6421, 454, 12585, 281, 538, 9018, 2230 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 338, 815, 3403, 4590, 23637, 815, 11713, 1721, 642, 538, 521, 912, 825, 952, 642, 2652, 1412, 3488, 610, 642, 2652, 1412, 9131, 610, 642, 2652, 1412, 346, 12466, 1038, 10518, 6910, 17635, 994, 825, 3116, 912, 1038, 952, 642, 2652, 1412, 264, 262, 543, 7003, 263, 23637, 264, 11203, 476, 271, 543, 10518, 15631, 272, 316, 2652, 1412, 3488, 912, 2018, 10518, 21014, 4590, 1038, 8640, 642, 2652, 1412, 316, 262, 543, 7003, 263, 23637, 264, 11203, 476, 271, 543, 10518, 15631, 272, 316, 2652, 1412, 9131, 912, 2018, 10518, 21014, 4590, 1038, 8640, 642, 2652, 1412, 348, 262, 543, 7003, 263, 23637, 264, 11203, 476, 271, 543, 10518, 15631, 272, 316, 2652, 1412, 346, 12466, 2018, 10518, 21014, 10797, 604, 7003, 263, 23637, 264, 2652, 476, 271, 912, 825, 1820, 3488, 13433, 5073, 12828, 912, 825, 1820, 3488, 7224, 5073, 0, 3698, 15652, 19906, 267, 1970, 267, 1164, 2187, 825, 22141, 815, 2855, 314, 869, 2639, 825, 1775, 815, 1970, 454, 825, 795, 815, 1164, 454, 825, 1247, 1775, 2999, 795, 912, 1038, 1247, 1775, 2999, 1164, 543, 2855, 5157, 316, 10922, 22141, 10778, 2018, 1775, 23785, 272, 454, 1038, 1247, 795, 3436, 1970, 543, 2855, 14728, 316, 13843, 22141, 912, 2018, 795, 268, 284, 272, 454, 1038, 952, 1775, 2999, 795, 912, 2018, 2855, 5157, 3910, 1551, 14728, 316, 815, 2855, 14728, 3910, 1551, 5157, 2639, 825, 2855, 314, 869, 3910, 1551, 14728, 316, 815, 2855, 14728, 3910, 1551, 314, 869, 2639, 825, 2132, 795, 454, 3698, 2656, 31374, 19906, 267, 1970, 267, 1164, 2187, 825, 952, 1970, 2999, 1164, 912, 1038, 14039, 815, 15652, 19906, 267, 869, 267, 14683, 994, 1038, 2656, 31374, 19906, 267, 869, 267, 7032, 268, 272, 994, 1038, 2656, 31374, 19906, 267, 7032, 266, 272, 267, 14683, 2020, 307, 815, 703, 9272, 15405, 1721, 512, 322, 538, 2039, 263, 272, 267, 570, 266, 272, 2187, 825, 715, 815, 703, 9272, 15405, 825, 2855, 815, 1592, 9852, 777, 17301, 267, 3403, 14061, 20889, 3890, 4917, 825, 562, 815, 7003, 19906, 994, 825, 2656, 31374, 19906, 267, 271, 19885, 268, 272, 994, 825, 1820, 6600, 262, 258, 346, 339, 322, 348, 2715, 1551, 19559, 2260, 273, 316, 348, 10807, 0, 307, 815, 703, 9272, 15405, 1721, 512, 538, 2039, 263, 272, 267, 570, 266, 272, 2187, 825, 15073, 815, 1592, 9852, 777, 19304, 267, 3403, 3890, 4917, 825, 1267, 815, 11713, 825, 1267, 272, 815, 6936, 454, 825, 585, 1775, 538, 2039, 12759, 263, 2993, 15892, 1038, 952, 15073, 5157, 316, 2652, 1412, 3488, 610, 15073, 5157, 316, 2652, 1412, 346, 12466, 2018, 1267, 6910, 263, 2993, 5157, 7481, 1038, 8640, 15073, 5157, 316, 2652, 1412, 264, 262, 610, 15073, 5157, 316, 2652, 1412, 348, 12466, 2018, 952, 7003, 31114, 264, 2652, 476, 271, 912, 3546, 1267, 272, 815, 8771, 454, 3546, 2736, 454, 2018, 3116, 912, 3546, 513, 815, 1267, 21014, 4590, 3546, 952, 513, 2652, 1412, 3488, 543, 15073, 5157, 316, 2652, 1412, 348, 12466, 7386, 1267, 272, 815, 8771, 454, 7386, 2736, 454, 3546, 8640, 513, 2652, 1412, 346, 262, 543, 15073, 5157, 316, 2652, 1412, 264, 12466, 7386, 1267, 272, 815, 8771, 454, 7386, 2736, 692, 825, 952, 1267, 272, 2652, 6936, 543, 7003, 31114, 264, 2652, 476, 271, 912, 1038, 1820, 6600, 262, 258, 346, 339, 348, 476, 272, 5073, 825, 3116, 912, 1038, 1820, 6600, 262, 258, 346, 339, 348, 476, 271, 17210, 19638, 692, 258, 1219, 2638, 19906, 2187, 258, 672, 585, 1775, 538, 2039, 12759, 19906, 15892, 258, 1363, 952, 2855, 5157, 316, 2652, 1412, 3488, 281, 567, 1948, 10563, 503, 376, 424, 359, 377, 21844, 368, 482, 425, 502, 372, 423, 358, 368, 7903, 454, 258, 17264, 10518, 6910, 19906, 5157, 7481, 258, 1363, 8640, 2855, 5157, 316, 2652, 1412, 264, 9166, 567, 1948, 10563, 502, 353, 423, 354, 372, 424, 359, 377, 21844, 368, 482, 425, 502, 372, 423, 358, 368, 1402, 17432, 502, 422, 367, 510, 14091, 373, 482, 422, 369, 494, 454, 258, 17264, 952, 7003, 263, 23637, 264, 2652, 476, 271, 281, 476, 1948, 1402, 17432, 510, 423, 499, 494, 476, 17432, 511, 424, 481, 479, 14091, 373, 482, 424, 500, 368, 28990, 486, 32629, 498, 424, 356, 478, 29030, 503, 499, 14602, 372, 454, 258, 4449, 2132, 8771, 454, 258, 17264, 3116, 912, 258, 4449, 10518, 21014, 4590, 258, 672, 952, 10518, 2433, 2132, 8771, 454, 258, 672, 3116, 2433, 2132, 6936, 454, 16482, 258, 10518, 815, 32582, 567, 1948, 14091, 373, 486, 10563, 488, 353, 425, 481, 507, 14602, 482, 476, 17432, 502, 423, 480, 502, 14091, 356, 490, 423, 497, 353, 424, 500, 368, 10563, 353, 502, 424, 499, 376, 476, 17432, 357, 454, 258, 2855, 815, 834, 3890, 3890, 9230, 3890, 4297, 4840, 258, 1820, 263, 13765, 19906, 4917, 0, 18851, 1477, 2903, 338, 519, 1547, 339, 868, 1239, 3758, 543, 8637, 621, 883, 513, 5119, 1477, 18851, 1477, 5814, 8848, 1477, 5814, 15259, 1477, 5814, 556, 1477, 5814, 11885, 607, 5286, 24653, 5035, 594, 6865, 617, 2544, 281, 5897, 825, 1219, 1224, 18316, 4311, 267, 2619, 8029, 1038, 5727, 1477, 1038, 14509, 3403, 3758, 267, 543, 17838, 621, 547, 513, 11885, 5119, 540, 1496, 16932, 281, 11415, 267, 1239, 281, 11415, 15947, 1038, 2433, 8873, 281, 11885, 5119, 20886, 11415, 267, 5569, 14963, 1477, 1038, 5727, 5897, 1038, 952, 711, 15259, 29624, 20216, 1235, 9638, 987, 8029, 2018, 1820, 2891, 2207, 305, 3036, 281, 834, 1341, 2619, 1341, 834, 2619, 1281, 711, 2291, 10590, 3418, 2018, 14827, 263, 272, 10142, 1038, 5569, 8217, 815, 32582, 5897, 1038, 1948, 1930, 543, 4558, 3515, 538, 1592, 1477, 1038, 609, 1930, 9638, 987, 267, 17683, 8782, 3041, 302, 268, 279, 5952, 280, 268, 272, 3299, 7154, 8782, 337, 10807, 607, 535, 335, 6769, 2018, 1899, 815, 535, 335, 18667, 1467, 14052, 2018, 1247, 1899, 6769, 3546, 5569, 8217, 6910, 263, 1467, 25331, 29328, 28829, 476, 1948, 678, 29328, 18788, 911, 4979, 1422, 333, 1477, 3546, 1899, 14714, 8692, 14052, 3546, 2119, 6769, 7386, 1899, 815, 535, 335, 18667, 1467, 14052, 3546, 4849, 594, 302, 13286, 6769, 7386, 1780, 5897, 1038, 1948, 1612, 572, 1142, 1899, 547, 1843, 1477, 1038, 513, 815, 5286, 25910, 9230, 6352, 30415, 8217, 1070, 476, 273, 1070, 546, 6943, 284, 15953, 10142, 1038, 585, 1775, 267, 6221, 538, 26246, 30415, 8217, 8029, 2018, 6221, 815, 5569, 8217, 5157, 15947, 2018, 1612, 572, 815, 556, 21858, 16868, 262, 315, 339, 266, 3299, 6221, 3418, 2018, 513, 5157, 6012, 271, 316, 815, 1612, 572, 314, 271, 15947, 2018, 513, 5157, 6012, 272, 316, 815, 1612, 572, 314, 272, 316, 5897, 1038, 2132, 513, 5897, 825, 1219, 2328, 318, 16059, 4311, 267, 1239, 27133, 267, 3186, 24786, 8029, 1038, 1820, 3488, 8586, 547, 1412, 1341, 3186, 24786, 3418, 1038, 609, 1930, 5560, 652, 24786, 267, 1412, 342, 10807, 607, 535, 335, 6769, 2018, 585, 1239, 538, 1239, 27133, 6769, 3546, 521, 815, 1193, 16597, 314, 271, 316, 1040, 331, 3286, 263, 279, 3418, 3546, 521, 815, 521, 1341, 1193, 16597, 314, 272, 29573, 3546, 535, 335, 22182, 3488, 260, 338, 14826, 262, 4939, 521, 3418, 1038, 1820, 3488, 323, 821, 9538, 3418, 0, 258, 2843, 507, 3522, 10528, 25986, 28476, 29824, 22147, 13077, 9261, 9261, 7846, 267, 10780, 5284, 371, 8563, 17201, 9326, 19628, 27569, 7846, 19628, 11714, 9924, 10528, 17201, 4709, 9326, 31224, 10780, 19757, 4736, 10948, 20046, 11012, 6459, 13833, 3097, 258, 11714, 476, 16021, 7549, 13150, 3264, 267, 25602, 476, 25000, 7549, 21833, 3264, 11714, 9924, 10948, 25986, 31124, 31224, 476, 13077, 13194, 9261, 21268, 630, 8563, 11012, 4138, 9261, 8563, 17201, 3522, 17153, 264, 17095, 3522, 21833, 9686, 22147, 3378, 11012, 6459, 13833, 3522, 269, 3097, 258, 2843, 502, 4736, 10528, 17201, 9841, 13194, 7846, 13953, 16021, 18194, 31124, 11714, 5284, 371, 8563, 13077, 27569, 23845, 9326, 476, 16417, 13194, 7846, 23783, 4344, 19277, 13833, 10780, 19757, 4736, 10948, 20046, 3522, 20413, 3264, 17153, 3522, 17221, 13194, 9261, 28314, 12811, 3264, 13077, 4344, 18775, 13833, 563, 692, 3698, 1293, 5416, 17107, 825, 1913, 815, 513, 21858, 4590, 825, 6556, 7003, 263, 6919, 994, 825, 585, 1714, 538, 1913, 912, 1038, 6556, 7003, 263, 601, 2020, 3667, 815, 1193, 9272, 2891, 29551, 8563, 29391, 4138, 16021, 476, 16021, 7549, 13150, 281, 27328, 31184, 815, 1293, 29495, 2020, 6635, 337, 815, 11713, 1721, 1775, 538, 10917, 912, 825, 27336, 6910, 9217, 994, 8931, 2745, 2891, 396, 504, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 11012, 6459, 13833, 281, 14307, 27336, 314, 271, 7481, 2745, 2891, 396, 504, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 25338, 7846, 7549, 8563, 11714, 17095, 3522, 21833, 9686, 21134, 11012, 6459, 13833, 3264, 281, 14307, 27336, 314, 272, 281, 316, 9239, 0, 258, 396, 510, 3522, 13194, 13077, 16648, 30324, 28476, 29824, 22147, 13077, 9261, 9261, 7846, 267, 10780, 5284, 371, 8563, 17201, 9326, 19628, 27569, 7846, 19628, 28314, 12811, 21268, 4138, 4814, 13833, 28476, 3097, 258, 27188, 17221, 18547, 23783, 21162, 3264, 15800, 9686, 12811, 28821, 32553, 4138, 18547, 4344, 18775, 9924, 281, 772, 308, 2839, 630, 684, 1392, 958, 2189, 32165, 1040, 8528, 5814, 579, 340, 573, 692, 3256, 664, 815, 1193, 9272, 3488, 29551, 8563, 29391, 4138, 16021, 18194, 21134, 12811, 1412, 4917, 10090, 730, 318, 340, 340, 573, 815, 579, 340, 573, 269, 340, 340, 573, 274, 26086, 340, 573, 269, 2793, 300, 2464, 303, 19781, 32707, 10064, 267, 6389, 994, 2745, 263, 10090, 730, 318, 340, 340, 573, 994, 0, 3698, 1292, 10031, 825, 3403, 23919, 815, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 11012, 4344, 4814, 30718, 7846, 18194, 31124, 10780, 3378, 25986, 18547, 281, 834, 2020, 825, 3406, 762, 23919, 815, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 11012, 4344, 4814, 30718, 7846, 267, 10780, 3378, 17095, 30324, 18775, 26281, 20413, 9924, 15800, 27569, 27671, 281, 19515, 8931, 825, 3903, 815, 7183, 454, 825, 1247, 3903, 11203, 1412, 275, 262, 1384, 1038, 1820, 3488, 272, 910, 10780, 3378, 25986, 7549, 10780, 21268, 8563, 22147, 3378, 11714, 17153, 5284, 370, 9686, 23845, 9326, 10780, 19757, 13150, 4814, 30718, 4138, 5073, 1038, 1820, 3488, 273, 910, 30935, 9261, 12811, 3522, 10780, 21268, 8563, 26281, 10780, 19757, 13150, 4814, 30718, 4138, 17210, 1038, 1820, 3488, 274, 910, 21660, 13953, 28821, 11714, 4736, 3264, 11714, 17153, 5284, 370, 9686, 23845, 9326, 10780, 19757, 13150, 4814, 30718, 4138, 262, 25589, 1038, 1820, 3488, 275, 910, 18194, 31124, 11714, 9924, 17153, 19757, 3522, 5073, 1038, 3903, 815, 3403, 2891, 396, 350, 9686, 3264, 20977, 13953, 16021, 476, 11714, 9924, 16648, 18775, 630, 272, 907, 275, 264, 19515, 13872, 1038, 952, 3903, 2652, 1412, 272, 12466, 2018, 1820, 2891, 396, 509, 21268, 8563, 3378, 3264, 11714, 17153, 5284, 370, 9686, 23845, 3264, 2433, 2580, 3406, 23919, 9272, 23919, 267, 3406, 762, 23919, 11723, 1038, 952, 3903, 2652, 1412, 273, 12466, 2018, 1065, 23919, 815, 3403, 3488, 396, 350, 4344, 4814, 30718, 3522, 18194, 31124, 30935, 9261, 12811, 9924, 281, 30386, 2018, 3406, 762, 23919, 815, 3406, 5332, 23631, 2897, 23919, 9272, 23919, 267, 1065, 23919, 267, 3406, 762, 23919, 994, 2018, 1820, 2891, 396, 510, 3264, 13194, 7846, 23783, 4344, 19277, 281, 14307, 3406, 762, 23919, 2020, 1038, 952, 3903, 2652, 1412, 274, 12466, 2018, 1820, 2891, 29551, 4736, 3264, 11714, 17153, 5284, 370, 9686, 23845, 9326, 281, 14307, 3406, 318, 718, 9272, 23919, 267, 3406, 762, 23919, 4917, 17264, 692, 3698, 3406, 23919, 263, 6343, 6889, 2580, 1141, 284, 3269, 2187, 825, 7003, 514, 284, 6352, 263, 6343, 994, 825, 561, 1619, 284, 6352, 263, 3602, 994, 825, 759, 815, 11713, 825, 585, 1775, 538, 2039, 630, 331, 1619, 2187, 1038, 952, 1141, 5157, 281, 328, 266, 6352, 514, 281, 316, 2525, 6343, 912, 2018, 759, 6910, 9230, 328, 267, 1775, 1341, 7003, 514, 4917, 825, 952, 7003, 263, 637, 264, 2525, 271, 912, 1038, 2132, 834, 17221, 10948, 3264, 15671, 3378, 14359, 3264, 21660, 13953, 9686, 12811, 3378, 4840, 825, 3116, 912, 1038, 2132, 759, 314, 271, 6540, 454, 3698, 3406, 318, 718, 263, 6343, 6889, 2580, 1141, 284, 3269, 2187, 825, 7003, 514, 284, 6352, 263, 6343, 994, 825, 561, 1619, 284, 6352, 263, 3602, 994, 825, 759, 815, 11713, 825, 585, 1775, 538, 2039, 630, 331, 1619, 2187, 1038, 952, 1141, 5157, 281, 328, 266, 6352, 514, 281, 316, 2525, 6343, 912, 2018, 759, 6910, 9230, 328, 267, 1775, 1341, 7003, 514, 4917, 825 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1590, 2015, 1152, 6666, 1102, 869, 338, 543, 856, 6503, 338, 30289, 547, 602, 6712, 540, 519, 1483, 3959, 1031, 585, 8549, 17758, 269, 1280, 3790, 547, 581, 1450, 762, 267, 519, 1875, 6363, 3985, 11769, 1590, 723, 30309, 519, 1719, 3790, 585, 5656, 1310, 5239, 476, 272, 267, 476, 2735, 271, 267, 610, 585, 2244, 543, 3937, 1310, 5181, 476, 272, 267, 476, 1960, 276, 269, 26959, 30309, 585, 1719, 593, 22666, 3854, 267, 10151, 946, 540, 1439, 578, 618, 7482, 267, 610, 519, 946, 540, 519, 1875, 6363, 3985, 11769, 779, 1378, 7482, 267, 2705, 6719, 267, 616, 796, 9994, 762, 269, 5685, 3496, 3790, 547, 10536, 267, 4020, 267, 610, 5372, 3854, 7221, 616, 1450, 762, 267, 1641, 547, 519, 2175, 538, 713, 3296, 269, 19098, 5638, 267, 27103, 25106, 2090, 267, 543, 1942, 782, 23148, 1590, 5431, 1022, 1713, 3604, 1813, 547, 2010, 540, 1202, 3293, 1981, 543, 9271, 6383, 676, 519, 1585, 1202, 3293, 2238, 610, 8041, 540, 519, 1875, 6363, 3985, 11769, 563, 268, 7392, 645, 3292, 609, 3677, 8549, 17758, 1163, 2105, 1131, 581, 540, 2362, 1981, 982, 3292, 609, 15186, 4130, 8549, 17758, 1163, 2105, 563, 268, 634, 1184, 949, 27167, 26471, 513, 1942, 2047, 547, 513, 3803, 1942, 6662, 610, 998, 835, 610, 811, 13591, 1942, 6859, 563, 268, 21952, 9276, 616, 519, 9276, 519, 2754, 1651, 2720, 998, 922, 3339, 1554, 3562, 6377, 4238, 563, 268, 12525, 525, 267, 2027, 10526, 267, 26550, 625, 267, 22717, 267, 543, 824, 971, 19614, 6659, 676, 513, 1875, 6363, 3985, 11769, 616, 711, 1982, 4747, 8259, 519, 19614, 616, 4481, 4857, 538, 519, 8549, 8366, 610, 8549, 8366, 532, 8116, 6042, 607, 1982, 4747, 563, 268, 1280, 1383, 267, 519, 1875, 6363, 3985, 11769, 949, 3715, 513, 5094, 18294, 585, 519, 6852, 3483, 540, 26539, 3959, 543, 682, 2084, 621, 1394, 547, 519, 1875, 6363, 3985, 11769, 563, 2026, 513, 1267, 267, 789, 9192, 782, 519, 4179, 2517, 638, 1157, 26247, 15209, 14492, 270, 883, 513, 2582, 1899, 6221, 540, 590, 294, 26031, 13258, 269, 4475, 267, 5665, 9276, 543, 590, 294, 26031, 616, 2474, 602, 616, 1419, 1031, 30430, 267, 855, 3604, 666, 8451, 952, 267, 585, 3236, 267, 28595, 543, 993, 677, 1436, 630, 291, 26031, 264, 616, 7745, 856, 538, 513, 5094, 1899, 6221, 269, 590, 294, 26031, 6763, 585, 968, 18522, 267, 2489, 1299, 11889, 5608, 543, 568, 513, 6952, 22433, 7121, 540, 9276, 602, 568, 8537, 540, 7836, 602, 3884, 1406, 513, 1463, 1942, 267, 6382, 1634, 607, 1942, 540, 5370, 4421, 4586, 763, 7316, 3657, 590, 2454, 1299, 8556, 13577, 5890, 5151, 5853, 2201, 634, 11638, 7132, 513, 6871, 540, 1942, 543, 6871, 540, 4070, 1942, 2409, 540, 24931, 1590, 711, 581, 1031, 269, 634, 1875, 6363, 3985, 11769, 949, 10677, 1022, 960, 602, 568, 1641, 547, 10677, 543, 729, 2919, 267, 610, 585, 799, 9562, 729, 9715, 267, 896, 513, 8549, 8366, 269, 634, 8549, 8366, 532, 8116, 14425, 513, 28370, 6954, 267, 9039, 343, 5477, 543, 9048, 22106, 762, 1318, 547, 16196, 267, 15476, 267, 610, 6382, 946, 519, 960, 585, 8549, 5301, 267, 543, 547, 2278, 1125, 1866, 547, 798, 865, 563, 268, 898, 568, 3730, 547, 1711, 606, 4747, 3948, 538, 519, 9295, 14345, 3898, 950, 596, 1616, 547, 3313, 602, 8167, 540, 9276, 602, 5963, 9775, 2047, 609, 19614, 563, 268, 8555, 704, 3310, 1797, 1022, 3310, 602, 28901, 610, 11148, 547, 16578, 513, 8549, 9441, 610, 11464, 547, 2285, 7156, 610, 547, 957, 3823, 513, 8549, 8366, 610, 9431, 2339, 593, 1022, 4493, 824, 982, 519, 26350, 540, 519, 2339, 563, 268, 2552, 18556, 10389, 16306, 540, 1455, 3688, 676, 519, 1875, 6363, 3985, 11769, 1590, 581, 9833, 607, 2963, 602, 971, 3688, 616, 21230, 26729, 593, 519, 1875, 6363, 3985, 11769, 779, 824, 960, 563, 268, 1403, 9901, 547, 519, 8366, 267, 891, 3790, 1590, 581, 9901, 547, 519, 3803, 6578, 1974, 540, 519, 8366, 267, 8259, 6382, 9138, 676, 519, 8549, 8366, 532, 8116, 563, 268, 3245, 606, 8051, 5133, 267, 835, 666, 1265, 717, 26031, 3790, 538, 519, 20677, 3948, 2630, 3790, 540, 5370, 4421, 616, 24673, 609, 9513, 9276, 267, 8108, 2489, 543, 11889, 3790, 563, 268, 15233, 519, 9940, 630, 293, 26031, 264, 1942, 2557, 547, 519, 9168, 2698, 1463, 3790, 585, 1367, 11650, 547, 3313, 519, 2179, 540, 9940, 630, 293, 26031, 264, 3790, 782, 665, 762, 547, 971, 11650, 563, 303, 1042, 17827, 2557, 1797, 606, 9940, 1942, 2557, 267, 10858, 547, 513, 9138, 1699, 610, 2104, 1974, 267, 2356, 519, 3919, 779, 16642, 1032, 269, 634, 2557, 568, 1759, 593, 606, 7447, 540, 519, 3790, 547, 581, 30309, 1282, 519, 1974, 269, 634, 26256, 714, 656, 8116, 585, 9940, 3790, 543, 3872, 9872, 949, 3914, 606, 6876, 593, 3928, 1510, 513, 6101, 19908, 10554, 282, 585, 1383, 267, 998, 19359, 610, 946, 540, 519, 16866, 1505, 4330, 538, 713, 3296, 667, 540, 713, 25715, 269, 634, 26256, 714, 656, 8116, 585, 9940, 3790, 1590, 2932, 1022, 2556, 16395, 609, 606, 3872, 9872, 3823, 5666, 20402, 676, 20894, 602, 616, 1813, 519, 8549, 6554, 1644, 547, 3790, 4988, 676, 513, 7858, 7007, 6876, 563, 1432, 3657, 4937, 543, 8556, 13577, 630, 294, 26031, 264, 5890, 5151, 888, 25486, 1302, 267, 519, 1875, 6363, 3985, 11769, 1590, 5965, 513, 19469, 1867, 540, 10865, 6666, 1102, 869, 338, 543, 856, 6503, 338, 267, 7488, 540, 519, 7616, 2707, 269, 1280, 713, 3483, 267, 1102, 869, 338, 2874, 540, 8549, 32158, 9309, 618, 585, 28595, 267, 993, 677, 1436, 540, 3854, 1242, 4070, 1719, 267, 543, 5993, 1719, 1942, 269, 4934, 6503, 338, 2874, 540, 3355, 9698, 7418, 267, 7963, 9030, 11033, 630, 1652, 519, 605, 8573, 1092, 2671, 30289, 547, 519, 1942, 540, 2244, 1070, 543, 1719, 11033, 269, 0, 8368, 540, 12937, 454, 9199, 767, 1782, 568, 606, 1995, 602, 10741, 938, 4064, 547, 1007, 5380, 267, 12977, 267, 543, 2409, 540, 1272, 269, 898, 2636, 721, 547, 2263, 519, 1158, 3564, 938, 18147, 267, 1921, 609, 1866, 267, 543, 1711, 9434, 8823, 269, 1809, 723, 596, 2479, 19944, 4240, 3206, 827, 519, 6698, 8204, 519, 957, 540, 21409, 286, 1452, 6698, 267, 689, 7098, 6955, 6951, 547, 9290, 322, 1162, 267, 723, 1831, 24819, 3232, 543, 3180, 1713, 2495, 269, 769, 713, 2376, 267, 649, 3580, 2263, 13488, 12005, 685, 1686, 267, 4644, 267, 543, 2686, 2796, 543, 875, 789, 723, 8032, 938, 8226, 540, 519, 1158, 563, 1432, 616, 13488, 29062, 888, 9199, 767, 12005, 616, 8642, 11269, 540, 2035, 610, 3615, 1644, 547, 2951, 267, 971, 607, 7098, 6955, 6951, 267, 7851, 267, 561, 10212, 720, 267, 610, 1780, 7964, 269, 1452, 6698, 5968, 2093, 543, 6835, 3533, 543, 3927, 1510, 1210, 1913, 269, 1358, 616, 1419, 1031, 538, 1129, 720, 267, 10229, 267, 543, 32107, 543, 723, 1831, 513, 851, 540, 938, 7104, 3308, 1893, 563, 3963, 616, 13488, 29062, 12830, 888, 9199, 767, 16103, 616, 1271, 1317, 789, 948, 721, 27464, 543, 1118, 2631, 540, 519, 1158, 1472, 721, 269, 1879, 649, 1294, 513, 1129, 540, 513, 7077, 267, 585, 1383, 267, 649, 5612, 12314, 621, 609, 519, 1523, 540, 2951, 543, 1174, 922, 2495, 1510, 17596, 547, 1224, 1022, 1913, 269, 29062, 849, 723, 519, 1379, 547, 18427, 4664, 543, 8823, 267, 971, 607, 519, 10761, 540, 25054, 593, 513, 1007, 7045, 610, 519, 19911, 28101, 540, 13059, 1753, 1310, 513, 1279, 7552, 269, 15445, 13488, 543, 5244, 532, 454, 763, 3778, 540, 13488, 29062, 454, 9199, 767, 16103, 723, 1044, 1031, 585, 5553, 267, 6580, 1394, 547, 3504, 12977, 971, 607, 519, 21072, 543, 16380, 269, 1452, 4529, 1031, 22827, 547, 2099, 519, 6801, 267, 519, 3141, 267, 543, 519, 7599, 267, 799, 941, 1031, 585, 12445, 543, 3408, 269, 769, 519, 5664, 12698, 267, 7851, 543, 5895, 525, 2968, 2442, 267, 543, 6698, 941, 1031, 547, 2099, 21056, 543, 1898, 6753, 563, 1103, 519, 2413, 5736, 267, 13488, 16103, 723, 7960, 547, 1331, 12331, 540, 6283, 267, 971, 607, 7098, 6955, 6951, 267, 14884, 267, 543, 6517, 267, 607, 1134, 607, 3615, 1644, 547, 2951, 267, 971, 607, 561, 10212, 720, 267, 1780, 7964, 267, 543, 12514, 269, 1452, 6698, 723, 1831, 3824, 11712, 538, 938, 3308, 2528, 543, 616, 14678, 25992, 563, 763, 8836, 19043, 540, 13488, 29062, 454, 9199, 767, 16103, 3180, 1114, 10096, 543, 4644, 2066, 4529, 269, 1280, 1383, 267, 519, 7098, 6955, 2033, 3090, 949, 2099, 5191, 543, 7045, 538, 5375, 4529, 855, 849, 3356, 543, 29678, 538, 3384, 2477, 269, 634, 9290, 13826, 3090, 949, 2099, 2951, 543, 3408, 538, 930, 4529, 267, 855, 621, 949, 849, 18427, 4606, 540, 12761, 543, 10462, 538, 1866, 563, 15228, 2513, 338, 666, 849, 3180, 1114, 10096, 4470, 593, 741, 2796, 269, 1280, 1383, 267, 513, 4786, 3090, 949, 2099, 3408, 543, 7045, 538, 519, 2796, 540, 2951, 267, 855, 621, 949, 849, 1611, 1379, 543, 21037, 538, 519, 2796, 540, 19525, 563, 8794, 13488, 16103, 538, 15952, 532, 543, 16373, 454, 9199, 767, 16103, 616, 1419, 1031, 538, 32107, 543, 6725, 547, 1711, 513, 2631, 540, 7045, 543, 10761, 1472, 513, 1587, 610, 3028, 269, 1280, 1383, 267, 2011, 6050, 1419, 946, 7098, 6955, 2033, 6698, 538, 741, 27291, 543, 10229, 547, 6655, 519, 2856, 540, 2951, 543, 3408, 269, 12182, 1564, 949, 946, 9290, 13826, 6698, 547, 2099, 519, 2856, 540, 4313, 543, 11005, 1247, 21409, 269, 713, 3896, 454, 2691, 1210, 13488, 16103, 538, 32107, 543, 6725, 267, 621, 779, 1898, 547, 2015, 519, 2686, 2796, 543, 10096, 2404, 609, 891, 6698, 269, 4635, 3197, 609, 1620, 741, 4644, 666, 2057, 21390, 543, 2942, 12205, 563, 1432, 568, 519, 1034, 1455, 2951, 3090, 888, 763, 1034, 1455, 13488, 12005, 568, 519, 7098, 6955, 2033, 3090, 269, 898, 4564, 2951, 267, 7045, 267, 543, 3408, 543, 568, 14678, 25992, 563, 4692, 2951, 6698, 4268, 4470, 593, 519, 2197, 888, 8133, 267, 13488, 16103, 666, 4268, 4470, 593, 519, 2197, 543, 2528, 269, 1280, 1383, 267, 519, 1915, 540, 513, 1780, 1636, 949, 1413, 1114, 538, 1114, 2477, 267, 543, 519, 2686, 4644, 540, 6698, 949, 849, 4268, 563, 1692, 723, 2951, 6698, 7960, 888, 9199, 767, 6698, 723, 7960, 547, 2992, 6639, 267, 2686, 267, 543, 6848, 2242, 269, 1280, 1383, 267, 519, 7504, 543, 31566, 3090, 729, 2899, 513, 1455, 13488, 12005, 855, 814, 2094, 1044, 8719, 676, 519, 1286, 610, 5721, 3090, 563, 3963, 798, 2951, 6698, 1419, 4183, 538, 32107, 543, 6725, 888, 9199, 767, 6698, 616, 1419, 1031, 538, 32107, 543, 6725, 547, 1711, 513, 2631, 540, 7045, 543, 10761, 1472, 513, 1587, 610, 3028, 269, 1635, 1210, 13488, 16103, 267, 3549, 666, 7148, 883, 519, 4664, 543, 2686, 4644, 2404, 609, 2951, 563, 6701, 972, 1022, 2942, 25664, 725, 2404, 609, 2951, 6698, 888, 4407, 13488, 16103, 3622, 18427, 2318, 4664, 267, 2942, 25664, 725, 666, 581, 2404, 609, 1978, 3197, 538, 1808, 8658, 269, 1280, 1383, 267, 519, 7098, 6955, 2033, 3090, 949, 3132, 4250, 610, 9636, 585, 2576, 945, 814, 4810, 513, 15779, 8184, 269, 898, 779, 1898, 547, 2015, 519, 2796, 543, 1367, 2833, 950, 1210, 2951, 6698, 563, 14300, 540, 13488, 16103, 0, 2108, 14722, 723, 1336, 602, 2575, 22262, 811, 2694, 540, 519, 2634, 982, 1022, 824, 1480, 1599, 1848, 1452, 616, 519, 1913, 540, 4432, 6511, 28553, 525, 538, 1200, 1433, 267, 634, 5295, 540, 8535, 269, 8535, 814, 1185, 1713, 5222, 593, 2950, 2429, 1686, 543, 10423, 569, 3788, 9565, 2221, 998, 922, 2686, 2360, 593, 2486, 543, 3621, 2360, 593, 519, 1367, 2634, 563, 24523, 814, 9247, 11478, 2094, 519, 4098, 540, 1686, 269, 4014, 5393, 1114, 689, 1018, 2501, 547, 2247, 950, 3206, 827, 2575, 2221, 267, 621, 814, 1044, 11347, 540, 1082, 1114, 4529, 267, 10764, 267, 7239, 267, 543, 2621, 2429, 5553, 563, 763, 1686, 540, 2575, 5956, 607, 2038, 607, 19744, 2053, 950, 2575, 1185, 7153, 538, 2486, 998, 519, 3310, 540, 519, 1379, 540, 4936, 7826, 13039, 269, 634, 19744, 1974, 729, 519, 13074, 1974, 540, 2575, 538, 1686, 543, 10443, 1063, 519, 1296, 476, 6110, 543, 476, 9610, 271, 269, 901, 2575, 729, 7361, 1395, 2684, 4577, 2495, 972, 729, 513, 2582, 23260, 547, 1142, 4062, 540, 2575, 269, 15535, 20187, 669, 656, 267, 799, 1131, 723, 513, 2582, 1899, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9804, 6003, 602, 3568, 1344, 827, 519, 6221, 547, 799, 621, 568, 7923, 269, 589, 30040, 3009, 3096, 2185, 13387, 17683, 12331, 630, 333, 10179, 545, 267, 21229, 534, 10179, 545, 267, 31632, 11486, 2435, 267, 543, 737, 534, 10202, 264, 547, 7561, 4558, 1239, 282, 24909, 949, 849, 581, 1031, 269, 630, 13126, 281, 4179, 2517, 523, 25769, 3820, 28293, 270, 304, 305, 6831, 1712, 264, 21700, 593, 476, 4029, 270, 1015, 270, 1704, 454, 15411, 1239, 568, 1239, 602, 4896, 666, 1569, 267, 946, 543, 2671, 269, 22749, 267, 4213, 543, 2043, 666, 946, 1930, 1239, 547, 3142, 827, 1514, 267, 2804, 543, 2825, 2640, 269, 7046, 1239, 568, 1239, 602, 4896, 666, 1569, 267, 946, 543, 2671, 269, 7046, 1239, 3587, 26729, 950, 1500, 2139, 538, 513, 1455, 267, 3684, 22345, 762, 3898, 269, 7046, 1239, 1590, 581, 13931, 269, 4706, 6132, 775, 1590, 11863, 1004, 547, 946, 519, 1239, 538, 1022, 1259, 789, 1616, 267, 1519, 13321, 267, 9256, 543, 4687, 621, 609, 1866, 267, 1256, 20749, 907, 5016, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17572, 4813, 1846, 257, 607, 851, 540, 834, 28035, 1315, 13129, 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, 834, 293, 5831, 267, 17912, 267, 543, 674, 8543, 24079, 281, 589, 6733, 693, 1412, 300, 3464, 269, 20831, 3619, 525, 547, 8303, 262, 5016, 8702, 547, 938, 1576, 1770, 1141, 649, 3513, 2263, 519, 4241, 1158, 540, 6752, 267, 4670, 267, 543, 18912, 8941, 998, 519, 1650, 540, 1412, 300, 3464, 269, 20831, 3619, 525, 547, 8303, 8339, 901, 17175, 9661, 7740, 1472, 513, 2186, 13463, 14975, 5507, 7738, 14799, 3957, 11427, 269, 20831, 945, 9909, 540, 9140, 513, 4190, 667, 1640, 575, 1144, 1282, 1200, 7552, 547, 8303, 269, 2913, 781, 4685, 883, 519, 22539, 1158, 540, 713, 595, 785, 699, 12848, 6438, 18912, 9661, 2439, 1262, 4089, 476, 272, 281, 26812, 3215, 22960, 4373, 5970, 596, 2479, 16545, 875, 32263, 621, 1131, 1745, 547, 5957, 513, 10875, 3440, 326, 1144, 899, 1346, 2938, 538, 707, 5172, 18912, 8941, 286, 4270, 267, 602, 781, 4010, 1018, 11479, 938, 1292, 1915, 267, 11427, 269, 20831, 267, 547, 4688, 909, 2724, 585, 513, 18198, 667, 1640, 10571, 1352, 12034, 538, 513, 12139, 269, 4168, 667, 1640, 729, 513, 4583, 3943, 6752, 14704, 1634, 585, 1010, 17715, 543, 29413, 6272, 269, 1284, 3513, 1451, 811, 827, 1864, 267, 1010, 1764, 593, 519, 6752, 2872, 267, 543, 1946, 1010, 13144, 616, 865, 2027, 2429, 713, 1576, 1770, 780, 265, 12244, 17041, 5071, 707, 1378, 5326, 28459, 6273, 676, 707, 5172, 1433, 610, 7260, 1915, 269, 8571, 621, 856, 267, 6003, 922, 1114, 2694, 267, 543, 4766, 1018, 2306, 621, 2189, 543, 9589, 780, 1262, 4089, 476, 273, 281, 20646, 2880, 8606, 916, 1299, 11154, 725, 4373, 12441, 596, 917, 602, 9413, 666, 2097, 689, 1082, 2959, 971, 607, 2835, 267, 4249, 267, 3020, 2984, 267, 610, 1256, 824, 9413, 286, 1452, 8747, 1759, 593, 4540, 1568, 616, 1572, 14624, 269, 3776, 1699, 1650, 267, 1412, 300, 3464, 269, 20831, 3619, 525, 547, 8303, 3299, 814, 1185, 1896, 14624, 2094, 621, 729, 8385, 3370, 607, 513, 1433, 538, 476, 4198, 279, 269, 898, 3323, 1055, 607, 513, 3209, 2854, 676, 6754, 11829, 4815, 267, 1287, 2968, 513, 3126, 540, 8874, 267, 1519, 835, 10023, 957, 816, 4911, 11253, 700, 753, 12064, 267, 543, 1256, 513, 3811, 3942, 1404, 2439, 265, 12244, 17041, 5994, 952, 707, 5172, 1433, 941, 5828, 883, 513, 7260, 282, 799, 17076, 610, 957, 816, 1131, 596, 1616, 547, 1294, 4730, 1142, 1915, 286, 3503, 1524, 707, 5079, 543, 2491, 1946, 789, 1131, 3514, 9985, 780, 1262, 4089, 476, 274, 281, 17553, 519, 8609, 1107, 5384, 11270, 1299, 19715, 4373, 30787, 2337, 1711, 519, 5790, 543, 7099, 540, 1022, 1650, 269, 5620, 596, 8068, 875, 1271, 4087, 543, 942, 1974, 616, 950, 8384, 3140, 5559, 553, 610, 14810, 9035, 286, 634, 1482, 10039, 1934, 269, 1412, 300, 3464, 269, 20831, 3619, 525, 547, 8303, 262, 3217, 1747, 538, 1079, 9159, 4872, 910, 27497, 1399, 2943, 23406, 2022, 21351, 5507, 543, 1350, 600, 5387, 267, 11509, 8303, 269, 3958, 267, 1034, 540, 519, 2621, 2049, 538, 476, 4198, 278, 267, 1175, 1354, 4168, 667, 1640, 10596, 2476, 543, 3946, 936, 1010, 22644, 539, 6752, 10504, 547, 1010, 16805, 13930, 267, 962, 1407, 12142, 19846, 660, 780, 265, 12244, 17041, 7994, 1776, 8717, 1063, 519, 476, 4572, 271, 338, 543, 2221, 267, 543, 2328, 513, 2110, 5037, 10503, 1018, 1272, 1522, 723, 6743, 899, 585, 2576, 2713, 972, 269, 1548, 1826, 540, 7802, 1705, 1004, 5957, 286, 1215, 1705, 6283, 8428, 1394, 1287, 3379, 547, 1631, 286, 21518, 5321, 3710, 8335, 982, 789, 616, 2221, 2496, 1262, 4089, 476, 275, 281, 1133, 1721, 19998, 16992, 1299, 16497, 3231, 2740, 4373, 4263, 922, 4295, 267, 1412, 300, 3464, 269, 20831, 3619, 525, 547, 8303, 262, 11414, 721, 3407, 4245, 827, 13197, 938, 9909, 5103, 6848, 6788, 267, 1373, 2186, 547, 1866, 7488, 540, 741, 4282, 267, 4101, 11475, 267, 543, 6967, 23904, 1256, 9624, 14488, 269, 3414, 11427, 269, 20831, 262, 3460, 267, 649, 2743, 1585, 3197, 602, 948, 3337, 1200, 1995, 1765, 18485, 9797, 543, 11874, 269, 3962, 1268, 8591, 3178, 547, 519, 4729, 543, 8309, 1898, 2609, 602, 1832, 3988, 7722, 2394, 519, 1360, 1439, 780, 265, 12244, 17041, 6056, 540, 513, 1483, 3734, 5869, 610, 5869, 710, 4171, 16177, 26182, 596, 269, 14674, 741, 7907, 267, 10781, 267, 543, 9465, 5185, 2059, 519, 1259, 269, 7053, 267, 1865, 875, 741, 1650, 12211, 547, 930, 3344, 540, 11427, 269, 20831, 262, 7045, 780, 2171, 4126, 596, 2972, 1565, 827, 1412, 300, 3464, 269, 20831, 3619, 525, 547, 8303, 262, 1247, 18167, 4514, 883, 519, 10600, 540, 6752, 267, 4670, 267, 543, 18912, 8941, 256, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 6241, 786, 2689, 8874, 1312, 9584, 26974, 29182, 543, 5924, 593, 1585, 18297, 5867, 563, 300, 3464, 269, 20831, 3619, 525, 1677, 8303, 630, 22333, 994, 13775, 538, 476, 4198, 279, 676, 6754, 11829, 4815, 607, 11427, 269, 2048, 6635, 5142, 3619, 525, 547, 8303, 892, 630, 2288, 11331, 26540, 1280, 11427, 20831, 538, 519, 5177, 1070, 713, 595, 785, 699, 12848, 6438, 4023, 12682, 1446, 9661, 540, 513, 5507, 7738, 14799, 945, 4422, 547, 8303, 547, 4444, 513, 667, 1640, 10571, 814, 2907, 1044, 2083, 4364, 1614, 2053, 267, 538, 476, 4198, 279, 588, 18732, 717, 2350, 773, 29425, 267, 513, 4436, 4528, 538, 476, 2735, 273, 543, 609, 4911, 11253, 700, 753, 12064, 538, 476, 1960, 273, 607, 1134, 607, 513, 3942, 2504, 896, 519, 5177, 2140, 538, 476, 1001, 277, 11783, 901, 267, 1498, 267, 19620, 519, 670, 267, 568, 519, 1101, 4183, 9542, 267, 9859, 676, 1071, 2914, 31581, 20900, 28529, 1014, 267, 609, 32154, 28076, 1374, 676, 808, 10154, 2142, 24170, 543, 588, 18732, 15776, 2917, 2494, 6807, 630, 302, 24249, 9930, 3990, 538, 3105, 6752, 2777, 12416, 1912, 656, 558, 27387, 264, 538, 519, 2140, 1909, 563, 13729, 538, 476, 4198, 278, 267, 1991, 547, 667, 1640, 779, 2669, 538, 5239, 609, 962, 1407, 12142, 19846, 660, 2921, 936, 607, 8783, 14704, 267, 621, 25856, 1472, 4798, 540, 9909, 267, 11587, 267, 1514, 11122, 32236, 267, 2879, 984, 25053, 543, 26608, 8526, 630, 663, 513, 1463, 513, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 538, 17944, 2073, 5815, 602, 3940, 7558, 2225, 729, 8519, 950, 10480, 22680, 269, 898, 568, 1634, 602, 512, 4768, 710, 568, 513, 1875, 268, 24207, 11254, 3679, 602, 568, 24704, 538, 1034, 11864, 689, 28144, 16216, 264, 710, 1547, 3776, 2164, 5815, 602, 950, 3940, 267, 543, 3976, 16247, 11254, 7408, 267, 616, 1970, 2943, 6190, 585, 9436, 3666, 543, 22965, 987, 7748, 27921, 267, 512, 4768, 710, 10282, 568, 16283, 543, 602, 513, 6175, 538, 3940, 7558, 2225, 949, 581, 513, 851, 540, 713, 1184, 269, 4475, 267, 519, 1883, 547, 513, 2732, 3246, 7850, 512, 4768, 710, 10282, 538, 5243, 1131, 581, 606, 7850, 7274, 540, 968, 321, 1470, 268, 19989, 892, 16247, 11254, 7408, 269, 2334, 7274, 5526, 547, 581, 811, 982, 649, 1185, 538, 519, 11326, 540, 519, 1459, 4603, 563, 763, 2034, 2009, 2601, 568, 519, 2360, 540, 11103, 602, 1131, 15936, 609, 519, 1303, 3266, 13463, 31154, 9657, 540, 22601, 267, 519, 9657, 8905, 585, 519, 2101, 512, 4768, 710, 8311, 924, 547, 2226, 512, 4768, 710, 4567, 269, 17316, 619, 723, 1585, 12214, 2360, 593, 519, 10307, 540, 2831, 267, 1519, 2893, 328, 1214, 267, 23646, 23441, 7962, 3539, 267, 3976, 8488, 532, 610, 7679, 1359, 609, 8770, 10338, 602, 267, 538, 2490, 267, 2164, 538, 6454, 540, 7280, 10892, 543, 16715, 16796, 8501, 1547, 1703, 616, 1896, 19165, 3823, 519, 8501, 268, 869, 1359, 1198, 540, 6775, 267, 799, 1331, 2810, 22601, 608, 17917, 998, 28797, 269, 4595, 1034, 5243, 8995, 609, 9823, 300, 1185, 1044, 10480, 23758, 543, 7573, 630, 10175, 681, 289, 264, 11326, 267, 649, 2022, 4327, 602, 681, 289, 949, 3565, 547, 519, 1970, 512, 4768, 710, 4567, 540, 891, 5243, 1547, 769, 2489, 267, 645, 2026, 616, 24704, 538, 6797, 689, 8501, 543, 17788, 730, 609, 25026, 710, 610, 512, 4768, 710, 547, 1118, 891, 2178, 28052, 757, 267, 9848, 1723, 3273, 545, 3679, 610, 512, 879, 549, 3273, 545, 3679, 269, 1452, 28052, 757, 1404, 606, 1271, 1909, 538, 519, 1507, 16892, 547, 900, 6160, 1518, 1585, 5686, 540, 26307, 547, 3986, 741, 10338, 676, 8108, 1216, 19729, 8020, 21304, 269, 2991, 8647, 267, 519, 23925, 20919, 616, 13381, 3842, 12809, 18236, 538, 519, 1507, 16892, 543, 3842, 13805, 24975, 3560, 538, 519, 2539, 476, 850, 636, 609, 5111, 476, 4200, 4939, 540, 9657, 4398, 1547, 17268, 267, 899, 7314, 267, 8078, 1807, 1176, 31669, 22601, 609, 512, 4768, 710, 267, 26759, 267, 519, 6797, 11747, 3743, 585, 17788, 566, 267, 26601, 2643, 15801, 288, 281, 301, 268, 2329, 2741, 4920, 2536, 848, 267, 568, 1808, 585, 512, 4768, 710, 538, 5243, 1547, 1323, 13779, 609, 1303, 3266, 13463, 31154, 9657, 540, 23925, 20919, 1131, 1267, 538, 519, 22930, 540, 519, 512, 4768, 710, 7535, 540, 5243, 952, 513, 3908, 7274, 540, 512, 4768, 710, 610, 922, 840, 15479, 832, 616, 2139, 269, 4475, 267, 32740, 22601, 608, 17917, 729, 5462, 607, 606, 13525, 540, 519, 4398, 540, 1303, 3266, 13463, 31154, 9657, 540, 23925, 20919, 540, 519, 5243, 10480, 519, 1585, 11103, 269, 674, 1815, 531, 22601, 608, 4038, 687, 267, 593, 513, 3819, 2339, 4493, 267, 7930, 8519, 538, 782, 476, 274, 2516, 630, 303, 2999, 476, 271, 269, 4905, 1070, 15151, 519, 1267, 540, 15175, 689, 5010, 2732, 547, 519, 29881, 11326, 269, 1717, 267, 519, 608, 17917, 540, 22601, 270, 276, 2395, 676, 3018, 476, 1321, 585, 519, 22680, 1895, 729, 5176, 7466, 602, 540, 519, 14160, 610, 681, 289, 1895, 269, 25792, 2601, 585, 6175, 540, 32740, 22601, 608, 17917, 609, 942, 949, 581, 519, 3908, 2179, 540, 3940, 538, 519, 11326, 269, 634, 10282, 543, 21131, 540, 22601, 616, 4080, 547, 581, 8476, 676, 519, 17441, 14242, 540, 1781, 548, 1097, 560, 758, 514, 514, 4171, 5305, 568, 859, 12097, 676, 9600, 543, 11254, 7408, 538, 519, 9667, 13475, 540, 519, 2831, 1547, 2334, 568, 267, 519, 2539, 4616, 540, 3940, 676, 519, 5243, 949, 723, 3366, 547, 1447, 5305, 540, 1781, 548, 1097, 560, 758, 514, 514, 543, 267, 538, 2490, 267, 1447, 22601, 2504, 543, 21131, 269, 1717, 267, 621, 568, 2312, 602, 519, 22680, 1895, 1185, 519, 5207, 22601, 608, 17917, 7488, 540, 519, 1505, 540, 4082, 269, 4634, 1498, 519, 3355, 32740, 22601, 608, 17917, 540, 519, 22680, 1895, 593, 513, 3819, 2339, 4493, 729, 519, 5207, 267, 519, 22601, 608, 4038, 687, 693, 3018, 476, 1321, 941, 476, 5038, 267, 476, 3199, 267, 543, 476, 6795, 4939, 540, 519, 22601, 608, 4038, 687, 693, 3018, 476, 271, 585, 14160, 267, 22680, 543, 681, 289, 2516, 267, 6606, 267, 6029, 602, 519, 22680, 1895, 1185, 519, 9803, 6871, 6175, 269, 1635, 9382, 267, 519, 570, 5263, 540, 519, 14160, 267, 22680, 543, 681, 289, 11326, 630, 8368, 476, 272, 264, 941, 476, 273, 269, 7906, 267, 476, 272, 269, 7176, 267, 543, 476, 273, 269, 6924, 4939, 267, 6606, 267, 11744, 602, 519, 22680, 6775, 1198, 729, 711, 519, 1267, 540, 811, 8192, 6775, 269, 5047, 267, 782, 1185, 827, 519, 1482, 6871, 540, 1202, 20107, 8192, 6775, 267, 476, 272, 269, 10695, 267, 476, 272, 269, 7176, 543, 476, 272, 269, 10037, 4939, 585, 14160, 267, 22680, 543, 681, 289, 11326, 267, 6606, 543, 782, 1185, 827, 476, 272, 4939, 19020, 6775, 269, 4935, 267, 621, 1281, 711, 2408, 602, 621, 568, 519, 7274, 540, 519, 1585, 11103, 267, 855, 519, 2470, 540, 519, 6775, 602, 568, 7700, 547, 519, 1114, 3210, 540, 519, 22680, 593, 22601, 608, 17917, 543, 512, 4768, 710, 22930, 563, 763, 3791, 2009, 2601, 585, 519, 6175, 538, 512, 4768, 710, 4567, 538, 519, 1459, 1353, 568, 519, 5872, 540, 6775, 609, 519, 1507, 15499, 17973, 269, 4935, 267, 519, 3017, 1063, 519, 2949, 2360, 540, 519, 1614, 8192, 5574, 593, 512, 4768, 710, 4567, 949, 21078, 538, 519, 3017, 538, 7542, 618, 1464, 540, 519, 11103, 676, 519, 1507, 15499, 17973, 269, 1403, 606, 2799, 15451, 18829, 4386, 607, 519, 1267, 540, 606, 2799, 4616, 540, 22680, 6775, 607, 3379, 547, 519, 6775, 538, 14160, 610, 681, 289, 267, 1287, 621, 1131, 581, 4397, 602, 811, 512, 4768, 710, 1131, 581, 10032, 267, 2147, 547, 519, 2333, 3032, 29440, 540, 512, 4768, 710, 602, 4386, 538, 7314, 602, 723, 811, 15451, 18829, 1496, 1724, 1700, 1428, 267, 476, 3607, 4940, 6129, 341, 1245, 1696, 620, 269, 476, 723, 4080, 602, 22680, 7028, 513, 3152, 2557, 540, 18829, 982, 14160, 267, 543, 1256, 952, 22680, 814, 1100, 19729, 6775, 630, 773, 267, 476, 1911, 4939, 1202, 20107, 32067, 1070, 621, 568, 1869, 14320, 811, 7542, 618, 762, 982, 14160, 269, 4935, 267, 4352, 649, 1223, 711, 4341, 856, 930, 15451, 18829, 676, 519, 14160, 610, 681, 289, 2516, 1317, 649, 1185, 1100, 1852, 2732, 1510, 6775, 267, 519, 2164, 1869, 1489, 519, 2856, 602, 22680, 267, 711, 681, 289, 267, 6775, 949, 3565, 547, 513, 1713, 2530, 540, 1439, 18100, 512, 4768, 710, 538, 5243, 563, 4415, 519, 2009, 9868, 540, 1863, 543, 2698, 12813, 28144, 16216, 264, 710, 267, 972, 568, 1100, 16315, 602, 972, 729, 606, 1198, 540, 6775, 593, 1560, 555, 2723, 4567, 630, 8993, 269, 476, 273, 1040, 4014, 2698, 12813, 28144, 16216, 264, 710, 630, 16451, 1341, 3808, 264, 729, 10169, 2539, 538, 519, 22680, 1895, 693, 476, 275, 540, 519, 942, 2798, 267, 621, 729, 2760, 3648, 2539, 982, 519, 14160, 1895, 267, 11021, 602, 621, 729, 711, 513, 6175, 538, 12813, 28144, 16216, 264, 710, 4805, 602, 729, 519, 2014, 540, 519, 2539, 12813, 512, 4768, 710, 538, 519, 22680, 1895, 267, 1256, 1498, 621, 568, 7805, 602, 972, 729, 711, 2614, 8192, 16247, 11254, 7408, 630, 3467, 4481, 267, 646, 31154, 2166, 4614, 710, 264, 585, 1022, 1895, 547, 30075, 7850, 512, 4768, 710, 269, 26736, 2742, 1863, 2166, 4614, 710, 630, 1097, 4614, 710, 711, 3808, 547, 3940, 264, 9830, 538, 519, 1699, 4603, 941, 2907, 30701, 538, 519, 22680, 1895, 630, 2918, 13008, 476, 275, 13179, 28485, 13624, 264, 693, 3018, 476, 273, 543, 941, 9738, 2394, 519, 1439, 540, 519, 1353, 630, 1839, 13008, 476, 275, 13179, 28485, 13624, 1070, 6466, 519, 824, 476, 273, 2516, 267, 4352, 13302, 693, 3018, 476, 273, 630, 4097, 13008, 476, 274, 13179, 28485, 13624, 543, 476, 3607, 13008, 476, 274, 13179, 28485, 13624, 585, 14160, 543, 681, 289, 1895, 267, 6606, 1070, 941, 711, 607, 30701, 607, 519, 22680, 1895, 2394, 3018, 476, 1321, 630, 2537, 13008, 476, 272, 13179, 28485, 13624, 543, 476, 2764, 13008, 476, 276, 13179, 28485, 13624, 585, 14160, 543, 681, 289, 1895, 267, 6606, 264, 5885, 519, 2856, 602, 8192, 22680, 11081, 519, 6915, 822, 22355, 540, 2166, 4614, 710, 538, 519, 2732, 267, 3976, 7700, 547, 519, 22930, 540, 512, 4768, 710, 538, 5243, 563, 2662, 1961, 1973, 729, 6074, 585, 2698, 22965, 987, 7748, 22368, 2094, 2699, 1973, 2281, 2270, 519, 2362, 5834, 540, 22965, 987, 7748, 269, 4014, 22965, 987, 7748, 568, 1634, 607, 513, 13111, 585, 2166, 4614, 710, 2073, 621, 568, 4277, 602, 538, 519, 1459, 4603, 22965, 987, 7748, 1705, 711, 6175, 1310, 8023, 519, 1970, 3940, 11326, 855, 2965, 2799, 827, 476, 736, 4939, 538, 782, 2516, 269, 4340, 547, 853, 760, 534, 4157, 1696, 620, 269, 476, 22965, 987, 7748, 5834, 568, 14931, 676, 519, 2534, 540, 22965, 600, 622, 268, 1097, 4614, 710, 14270, 848, 630, 4385, 607, 29339, 25322, 583, 600, 2643, 268, 1097, 4614, 710, 4852, 2867, 848, 264, 4171, 2534, 568, 14931, 676, 519, 10408, 5834, 540, 2166, 4614, 710, 269, 1879, 10408, 2166, 4614, 710, 568, 8519, 267, 22965, 600, 622, 268, 1097, 4614, 710, 14270, 848, 568, 909, 15696, 4327, 547, 2333, 10282, 540, 22965, 987, 7748, 543, 950, 10408, 2166, 4614, 710, 568, 538, 4430, 267, 2166, 4614, 710, 1019, 2135, 4723, 848, 568, 909, 15696, 4327, 547, 3032, 21966, 1125, 4430, 2166, 4614, 710, 547, 2226, 513, 7522, 2039, 540, 5160, 2166, 4614, 710, 9830, 269, 769, 713, 1353, 267, 519, 9830, 540, 2698, 2166, 4614, 710, 538, 12813, 693, 3018, 476, 1321, 941, 5111, 476, 4037, 267, 476, 5952, 543, 476, 3445, 4939, 540, 1346, 540, 3018, 476, 273, 585, 14160, 267, 22680, 543, 681, 289, 1895, 267, 6606, 269, 5131, 2166, 4614, 710, 9830, 538, 12813, 693, 519, 1439, 540, 519, 1353, 941, 476, 7830, 267, 476, 5392, 267, 543, 476, 5379, 4939, 540, 1346, 540, 3018, 476, 271, 585, 14160, 267, 22680, 543, 681, 289, 1895, 267, 6606, 267, 5310, 10834, 602, 1863, 28144, 16216, 264, 710, 568, 513, 1732, 13525, 540, 2166, 4614, 710, 8244, 585, 10894, 2115, 630, 10175, 512, 4768, 710, 10282, 264, 982, 2698, 28144, 16216, 264, 710, 630, 16451, 7132, 602, 3808, 547, 3940, 3842, 9829, 5139, 787, 331, 16345, 1916, 2005, 568, 4277, 602, 10894, 7939, 11122, 525, 22965, 987, 7748, 2864, 982, 512, 4768, 710, 267, 5310, 3274, 1317, 519, 8192, 4430, 540, 16247, 11254, 7408, 4422, 998, 519, 6797, 1101, 1141, 519, 5354, 540, 519, 11476, 3238, 616, 4092, 543, 1317, 540, 519, 918, 916, 540, 519, 11476, 3238, 269, 2334, 568, 267, 519, 10862, 585, 519, 946, 540, 2166, 4614, 710, 538, 5243, 538, 938, 4603, 5526, 547, 581, 1101, 585, 22965, 987, 7748, 267, 2034, 585, 2489, 3940, 10282, 543, 6368, 585, 512, 4768, 710, 10282, 269, 634, 7805, 31096, 630, 773, 267, 540, 22965, 987, 7748, 1373, 513, 13111, 585, 28144, 16216, 264, 710, 264, 1934, 568, 602, 972, 7902, 547, 581, 13385, 11549, 6058, 10282, 610, 2799, 11549, 6058, 15059, 896, 519, 2175, 540, 938, 4603, 267, 1256, 1498, 519, 5243, 7902, 547, 581, 538, 9436, 3666, 630, 773, 267, 4509, 645, 310, 264, 543, 654, 289, 2698, 22965, 987, 7748, 2965, 2799, 563, 1103, 5758, 267, 2864, 982, 681, 289, 267, 8192, 22680, 4951, 519, 1034, 1713, 1198, 538, 16715, 12813, 543, 654, 289, 512, 4768, 710, 9830, 267, 538, 851, 267, 676, 13302, 519, 3940, 7558, 2225, 630, 338, 5285, 584, 11254, 3679, 6915, 822, 22355, 1070, 676, 7393, 32740, 608, 17917, 540, 22601, 543, 7654, 267, 676, 7393, 12159, 540, 512, 4768, 710, 676, 8937, 29370, 3271, 320, 538, 5243, 269, 1452, 2360, 949, 1267, 689, 519, 3152, 1198, 540, 22680, 6775, 982, 681, 289, 610, 14160, 593, 15499, 9190, 18829, 602, 1579, 2314, 512, 879, 549, 3273, 545 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8827, 692, 2690, 1569, 267, 5077, 835, 540, 938, 22558, 26133, 16890, 780, 263, 5804, 5149, 476, 272, 267, 7689, 476, 272, 4700 ]
[ 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, 594, 10972, 24403, 717, 18636, 622, 14523, 558, 601, 534, 2670, 630, 26996, 25145, 2252, 596, 616, 4358, 547, 1294, 1507, 3043, 15956, 593, 707, 695, 1231, 543, 824, 2127, 540, 707, 1560, 267, 1810, 1406, 11784, 269, 901, 568, 4440, 1813, 547, 513, 2783, 1572, 7329, 11340, 987, 545, 8937, 339, 622, 3834, 558, 601, 534, 2670, 630, 26996, 1070, 606, 9715, 22480, 32151, 25866, 320, 630, 29985, 1242, 2530, 540, 6477, 7695, 540, 519, 2960, 264, 1419, 4330, 607, 1507, 267, 3043, 1476, 31899, 6438, 9634, 610, 3043, 1954, 1188, 956, 269, 1452, 5180, 267, 1928, 1652, 15087, 540, 1244, 580, 7695, 610, 3834, 641, 580, 7695, 2408, 593, 519, 695, 1231, 267, 7953, 267, 7916, 543, 824, 3141, 7721, 12723, 2127, 540, 519, 1560, 899, 519, 3068, 267, 8405, 543, 17525, 563, 26996, 568, 711, 1644, 547, 3857, 559, 15282, 538, 799, 14264, 514, 6721, 2281, 5884, 610, 616, 8572, 547, 1599, 5265, 543, 1100, 3476, 1106, 14264, 514, 563, 1432, 15486, 594, 21203, 888, 2005, 779, 711, 2731, 1634, 1018, 3123, 594, 21203, 269, 594, 10972, 24403, 1797, 602, 519, 2014, 568, 7164, 267, 1350, 18636, 622, 1797, 834, 516, 5145, 1782, 751, 731, 28979, 257, 543, 3834, 558, 601, 534, 2670, 4016, 547, 519, 14402, 2681, 540, 519, 4299, 2127, 269, 634, 5672, 2737, 616, 1507, 267, 1472, 476, 272, 268, 274, 6515, 538, 8006, 1498, 789, 666, 2268, 909, 547, 476, 1015, 6515, 543, 616, 9764, 610, 16070, 269, 898, 568, 16143, 602, 519, 2067, 10172, 1184, 3123, 519, 2783, 269, 634, 2960, 19380, 20119, 998, 513, 16795, 5786, 538, 14264, 14231, 282, 1454, 899, 4552, 19380, 20119, 1282, 519, 10172, 1184, 543, 7140, 12457, 610, 3043, 269, 4033, 6436, 616, 602, 519, 2783, 568, 3361, 676, 3141, 3441, 610, 1875, 1606, 684, 1644, 694, 1817, 9071, 4141, 545, 23128, 520, 2670, 269, 898, 568, 711, 3361, 676, 8194, 610, 3968, 267, 6862, 1281, 621, 5815, 606, 2799, 1981, 540, 2960, 2860, 563, 8005, 568, 2398, 821, 547, 15043, 594, 21203, 888, 26996, 729, 8385, 2219, 547, 2049, 6140, 538, 1647, 27070, 267, 1769, 2960, 2740, 2021, 267, 855, 519, 3043, 9634, 723, 1044, 1634, 547, 2408, 538, 519, 3735, 476, 736, 338, 543, 2038, 476, 1789, 338, 269, 898, 568, 6140, 2938, 538, 2021, 267, 855, 568, 5051, 1373, 2938, 538, 1312, 28486, 267, 607, 1134, 607, 538, 4158, 2960, 2740, 1004, 945, 723, 1185, 1279, 3856, 3141, 4598, 563, 7197, 7189, 1810, 1406, 3494, 2126, 568, 2838, 2094, 519, 9634, 616, 20027, 269, 30003, 5574, 616, 912, 268, 595, 787, 8839, 630, 10193, 1572, 3956, 657, 29864, 610, 4411, 3797, 264, 538, 799, 5277, 9436, 568, 1031, 547, 19068, 8031, 693, 519, 10408, 1377, 454, 268, 667, 1069, 629, 337, 5235, 610, 2890, 323, 1069, 629, 337, 5235, 454, 268, 717, 2761, 532, 540, 7363, 6477, 7757, 2960, 454, 268, 4825, 27546, 971, 607, 1726, 339, 3626, 514, 8645, 454, 268, 5440, 673, 28335, 454, 268, 6682, 28190, 720, 17539, 454, 5278, 540, 891, 5574, 723, 1185, 8766, 1967, 543, 538, 930, 6381, 666, 2965, 1118, 519, 2783, 8338, 563, 2710, 1411, 10261, 547, 13693, 513, 6481, 12333, 888, 2252, 596, 2253, 547, 5469, 891, 3043, 9634, 267, 3643, 707, 17172, 6048, 547, 4341, 856, 824, 2175, 971, 607, 3857, 559, 15282, 267, 533, 640, 686, 12118, 620, 9346, 630, 320, 2960, 2783, 2356, 1336, 538, 1453, 543, 1762, 4079, 267, 602, 3123, 519, 1646, 540, 5180, 610, 24814, 3043, 9634, 593, 519, 3068, 267, 8405, 543, 5580, 7916, 264, 610, 512, 13810, 2613, 545, 565, 528, 267, 513, 16507, 3968, 6353, 676, 3043, 2960, 5672, 2737, 267, 15649, 543, 1166, 1136, 269, 1403, 621, 7140, 856, 547, 581, 7329, 11340, 987, 545, 8937, 339, 622, 3834, 558, 601, 534, 2670, 267, 1831, 811, 30190, 538, 1210, 24429, 269, 3680, 3141, 512, 8911, 267, 799, 786, 11168, 519, 4334, 538, 20119, 543, 666, 2014, 824, 5672, 2737, 547, 1106, 563, 6701, 1703, 7849, 32192, 585, 594, 21203, 888, 7712, 594, 21203, 568, 513, 22480, 2783, 267, 972, 1281, 711, 3100, 547, 581, 1454, 1382, 593, 2564, 610, 2067, 5574, 269, 1703, 616, 513, 1906, 1753, 14319, 602, 723, 1044, 5227, 676, 2043, 945, 723, 10645, 1397, 2318, 2164, 267, 543, 723, 849, 7074, 602, 891, 5574, 666, 1491, 909, 547, 3670, 3275, 610, 811, 547, 1491, 1198, 269, 1703, 568, 1100, 3621, 2963, 602, 891, 5574, 2965, 960, 563, 4263, 5851, 32192, 454, 293, 3306, 20909, 269, 717, 5424, 10433, 4679, 1973, 2095, 547, 519, 632, 1790, 580, 7757, 2127, 269, 717, 5424, 10433, 666, 849, 581, 6404, 609, 11993, 10433, 543, 1216, 547, 2087, 519, 2783, 540, 519, 2960, 269, 589, 533, 14115, 823, 1500, 689, 20909, 3762, 610, 513, 13594, 1500, 689, 519, 20909, 3597, 666, 581, 4294, 2047, 547, 519, 3043, 9634, 563, 293, 3306, 22648, 10433, 269, 18610, 22648, 10433, 267, 1031, 2901, 607, 513, 20892, 610, 4294, 1283, 1227, 547, 519, 2960, 267, 568, 5156, 547, 948, 609, 519, 2783, 269, 5410, 22648, 547, 707, 2732, 269, 898, 666, 1406, 10413, 282, 22648, 814, 3875, 9422, 2640, 563, 8993, 338, 543, 9267, 22756, 269, 17115, 8532, 4453, 338, 543, 9267, 22756, 269, 8431, 338, 616, 3638, 538, 14434, 543, 4339, 1863, 9097, 3441, 543, 519, 2942, 2360, 540, 3141, 4598, 269, 9282, 9267, 22756, 616, 4440, 1031, 811, 585, 3043, 15649, 3361, 676, 512, 13810, 2613, 545, 565, 528, 1813, 547, 741, 4550, 1922, 25193, 3601, 267, 9267, 22756, 616, 14095, 609, 4550, 268, 1645, 5567, 971, 607, 645, 8324, 630, 6518, 616, 1390, 585, 519, 2960, 1070, 14434, 585, 2960, 20344, 543, 22786, 267, 543, 789, 849, 5818, 10009, 8744, 5135, 543, 5567, 547, 519, 2960, 2281, 563, 15368, 559, 543, 18654, 269, 5410, 24958, 1349, 547, 18654, 10433, 543, 4019, 547, 519, 1858, 547, 12954, 14264, 514, 2504, 563, 1607, 3561, 814, 1044, 12649, 676, 519, 6481, 5623, 8274, 543, 568, 2808, 1199, 1227, 4977, 269, 0, 300, 9331, 289, 9590, 281, 23889, 16981, 1453, 883, 519, 13416, 568, 519, 1445, 540, 519, 476, 1001, 274, 1133, 823, 325, 781, 3557, 540, 519, 2622, 781, 5753, 7797, 5950, 5063, 269, 634, 4681, 616, 22317, 585, 3127, 799, 814, 9896, 543, 32738, 519, 2136, 8315, 13482, 593, 519, 7126, 540, 31080, 609, 24894, 563, 763, 1867, 2829, 602, 3020, 10014, 666, 581, 6913, 952, 7239, 941, 547, 24905, 548, 7496, 547, 10014, 538, 1453, 781, 5054, 267, 3226, 3506, 267, 1072, 6703, 543, 1857, 3560, 269, 589, 17400, 800, 1413, 8761, 602, 7496, 585, 3127, 781, 19920, 609, 9659, 1376, 693, 17034, 3872, 5238, 267, 1082, 540, 799, 1810, 1405, 723, 2596, 5989, 538, 2474, 540, 15155, 1186, 543, 3015, 30079, 269, 6270, 10714, 1223, 1419, 723, 513, 22107, 8172, 17672, 1198, 593, 513, 1126, 781, 1646, 269, 1280, 3236, 267, 513, 1126, 711, 11504, 1153, 568, 2693, 547, 4413, 856, 593, 4571, 6377, 7594, 14565, 602, 8597, 547, 1010, 17017, 9422, 2115, 563, 763, 1867, 3217, 513, 29355, 1935, 2509, 10128, 19920, 267, 11021, 602, 2477, 1058, 834, 332, 913, 3564, 5934, 4441, 676, 5473, 1453, 543, 10708, 609, 9124, 543, 741, 3885, 538, 10442, 7028, 543, 2533, 2966, 547, 2743, 741, 2115, 4799, 3080, 540, 519, 1034, 10296, 2152, 1141, 519, 2551, 540, 16981, 19920, 568, 7255, 568, 519, 3668, 540, 4143, 1239, 593, 6724, 607, 2596, 607, 9860, 540, 9124, 267, 519, 2027, 2115, 540, 1880, 2516, 610, 4567, 540, 16981, 7888, 6703, 2139, 563, 10454, 10700, 6169, 540, 782, 2518, 543, 3084, 3646, 786, 581, 2199, 267, 519, 1449, 1373, 2436, 1169, 1126, 5976, 513, 9659, 21593, 1200, 610, 1010, 2924, 910, 1519, 1569, 547, 2533, 267, 1489, 543, 3255, 910, 593, 513, 1612, 609, 824, 1453, 267, 1256, 538, 519, 1034, 6552, 5468, 543, 519, 1034, 27226, 6381, 2437, 20147, 519, 1867, 267, 1034, 1318, 569, 269, 0, 295, 2465, 2465, 344, 865, 1187, 1249, 281, 519, 4807, 538, 602, 7206, 568, 30225, 12251, 1512, 779, 7385, 267, 21322, 268, 2304, 928, 623, 1512, 4958, 974, 6754, 2763, 267, 945, 711, 1152, 19500, 607, 30225, 12251, 1512, 779, 2978, 13930, 855, 849, 12261, 2296, 543, 5824, 5931, 883, 3943, 865, 646, 1223, 1224, 873, 269, 1809, 1352, 4769, 1406, 1175, 14377, 267, 1352, 11329, 856, 6959, 538, 519, 7998, 538, 930, 540, 519, 5931, 269, 4173, 7422, 540, 891, 6959, 18617, 30225, 12251, 1512, 547, 1353, 13674, 267, 799, 3366, 547, 1010, 6602, 540, 5135, 269, 2701, 729, 849, 2565, 547, 519, 8313, 540, 30225, 12251, 1512, 779, 16504, 6164, 1047, 593, 11061, 538, 476, 9965, 280, 269, 2701, 6854, 7453, 5638, 540, 1169, 4603, 789, 5342, 1927, 543, 16668, 2143, 12222, 540, 782, 741, 3937, 269, 2701, 849, 28520, 5863, 6105, 543, 14376, 782, 519, 6505, 652, 8186, 538, 2257, 865, 1200, 9393, 1223, 4584, 741, 12058, 269, 2991, 30225, 12251, 1512, 729, 1368, 650, 582, 1441, 1352, 17956, 782, 540, 1010, 31940, 543, 3937, 585, 16968, 640, 563, 1103, 2110, 281, 12971, 289, 7495, 312, 918, 2975, 16775, 631, 4696, 28719, 15829, 309, 302, 3041, 296, 2207, 744, 7473, 5508, 5990, 700, 5723, 563, 9827, 267, 513, 2427, 4063, 281, 3733, 14787, 9393, 3562, 15515, 11329, 930, 1919, 856, 547, 803, 827, 713, 7206, 269, 18564, 602, 8496, 877, 30225, 12251, 1512, 568, 3168, 693, 519, 21951, 267, 543, 782, 519, 1769, 568, 593, 1200, 267, 1247, 30225, 12251, 1512, 5128, 568, 9308, 4130, 982, 1200, 267, 538, 14692, 267, 543, 3168, 909, 547, 1200, 538, 27527, 269, 901, 3884, 1406, 513, 6596, 8523, 268, 782, 540, 891, 5079, 616, 20982, 269, 634, 7206, 3884, 1406, 540, 30225, 12251, 1512, 268, 8496, 877, 30225, 12251, 1512, 568, 5921, 547, 581, 519, 3844, 1641, 563, 296, 666, 1175, 4952, 30225, 12251, 1512, 10213, 782, 1010, 9164, 602, 1010, 7385, 568, 2731, 519, 835, 609, 782, 519, 15931, 2093, 267, 543, 873, 1273, 1154, 1864, 593, 519, 1394, 543, 10213, 1864, 646, 779, 6653, 585, 6031, 865, 563, 5472, 5243, 2671, 519, 1482, 2596, 9667, 1062, 5103, 519, 2039, 540, 2168, 7648, 630, 663, 8456, 264, 2066, 1114, 14981, 269, 5272, 2915, 568, 2966, 547, 3548, 513, 6151, 3662, 2861, 2732, 267, 689, 519, 932, 8811, 340, 1695, 7699, 547, 519, 4279, 667, 2033, 269, 6601, 539, 10391, 2915, 1426, 12478, 616, 3274, 513, 6725, 575, 9404, 1157, 6322, 693, 4730, 593, 519, 4620, 8227, 779, 4664, 267, 543, 741, 7287, 547, 3049, 741, 4620, 519, 1655, 2009, 2732, 563, 296, 1810, 1406, 1589, 602, 5243, 991, 606, 3662, 2861, 2732, 269, 1403, 2944, 1318, 789, 666, 581, 17154, 543, 711, 3565, 547, 519, 15294, 1359, 540, 17608, 2831, 269, 1284, 4076, 9862, 543, 30042, 873, 2614, 547, 798, 865, 269, 1358, 4076, 7960, 547, 2661, 1510, 5779, 1175, 899, 721, 563, 2791, 2461, 519, 1826, 540, 1268, 602, 1058, 4440, 711, 1378, 2831, 602, 3548, 824, 2831, 563, 291, 9233, 666, 711, 543, 1058, 711, 723, 513, 17154, 2732, 269, 898, 568, 4636, 543, 666, 711, 581, 2953, 676, 1022, 1797, 563, 4462, 560, 762, 10570, 22140, 786, 31380, 31693, 547, 1106, 22140, 609, 513, 2362, 6617, 269, 634, 17883, 1184, 568, 1572, 5925, 13808, 269, 634, 1648, 543, 5536, 799, 616, 5950, 1282, 519, 17883, 1184, 616, 1572, 5982, 269, 1879, 18633, 22140, 31693, 538, 2470, 267, 519, 1184, 568, 5219, 547, 607, 2067, 5925, 13808, 269, 1879, 519, 18633, 22140, 616, 5423, 538, 519, 8047, 267, 519, 17883, 568, 1572, 13251, 5925, 13808, 563, 2467, 616, 1614, 2101, 2010, 540, 2067, 5925, 13808, 912, 2704, 6495, 5982, 5161, 540, 513, 6908, 540, 9797, 9901, 5536, 267, 1572, 13672, 5536, 267, 799, 723, 606, 10570, 2527, 540, 476, 275, 543, 513, 5279, 540, 1341, 273, 630, 320, 26775, 13540, 1040, 1879, 606, 13672, 9325, 568, 30275, 539, 689, 513, 13540, 267, 519, 2527, 1297, 540, 519, 13540, 11081, 676, 2185, 4559, 543, 26974, 5669, 1297, 11081, 676, 1079, 4559, 269, 1280, 1383, 912, 24487, 10844, 308, 9890, 476, 5655, 3891, 1341, 476, 23056, 3445, 1320, 20330, 763, 26775, 13540, 568, 519, 13672, 9325, 563, 289, 9508, 5982, 568, 513, 6908, 540, 9211, 267, 1572, 12498, 5536, 269, 1879, 513, 12498, 9325, 568, 30275, 539, 267, 513, 23377, 538, 519, 13540, 568, 10736, 547, 513, 23442, 267, 865, 519, 2527, 1297, 540, 519, 13540, 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 ]
[ 519, 2796, 540, 513, 1158, 538, 5912, 865, 602, 789, 723, 519, 4390, 547, 4431, 609, 7326, 547, 519, 1699, 10357, 1606, 3469, 6433, 563, 3849, 601, 2006, 267, 595, 476, 1960, 274, 267, 2048, 298, 4669, 682, 7773, 543, 519, 8129, 540, 2962, 1382, 8730, 12409, 2962, 1382, 267, 2019, 269, 476, 272, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 278, 268, 2190, 563, 288, 343, 518, 267, 667, 267, 700, 1221, 339, 6390, 267, 808, 1299, 6428, 345, 2006, 267, 681, 476, 1001, 278, 267, 5071, 3206, 585, 519, 3152, 1434, 281, 5647, 538, 519, 1514, 5823, 267, 21896, 6355, 3427, 14539, 267, 1715, 3840, 267, 12924, 563, 289, 22528, 267, 654, 476, 1001, 274, 267, 1412, 32178, 1207, 2559, 534, 1373, 26906, 827, 568, 2185, 9753, 540, 1374, 3299, 5071, 543, 15613, 9763, 476, 2537, 4864, 476, 1708, 271, 267, 2999, 10059, 2517, 4178, 9884, 559, 6975, 9346, 534, 8542, 331, 270, 5341, 731, 1532, 1276, 534, 534, 5630, 17942, 1613, 539, 268, 12671, 3620, 529, 268, 275, 268, 7451, 6361, 17393, 793, 270, 285, 563, 289, 2784, 12064, 267, 670, 476, 1001, 277, 267, 2048, 7072, 281, 875, 547, 2198, 622, 543, 5581, 2962, 1382, 8730, 5907, 1433, 267, 538, 670, 17659, 12064, 267, 634, 27041, 25156, 540, 2962, 1382, 267, 476, 274, 6113, 1196, 333, 267, 590, 720, 23549, 267, 14135, 267, 6032, 269, 476, 272, 268, 280, 563, 291, 1023, 8615, 731, 267, 623, 476, 1001, 275, 267, 2048, 303, 4048, 3901, 1143, 543, 1374, 3206, 8730, 4139, 4760, 540, 1374, 267, 2019, 269, 476, 279, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 16960, 268, 14028, 563, 294, 2001, 1782, 267, 8028, 476, 1001, 280, 267, 634, 3778, 540, 13898, 267, 31919, 15932, 5600, 267, 5177, 563, 22432, 302, 476, 1001, 276, 267, 2048, 763, 2361, 3391, 547, 1480, 7266, 1042, 1374, 8730, 5071, 6539, 267, 476, 272, 560, 1196, 333, 563, 296, 337, 7773, 267, 570, 267, 24230, 810, 742, 267, 717, 1299, 29139, 7219, 3772, 267, 595, 476, 1001, 276, 320, 267, 21846, 1374, 476, 1001, 276, 281, 513, 1007, 1858, 540, 1374, 1382, 267, 2259, 543, 1353, 602, 23083, 1374, 21445, 6848, 5912, 4724, 811, 4264, 20304, 267, 3427, 540, 5071, 267, 31257, 631, 749, 517, 2160, 267, 29016, 267, 13698, 563, 296, 337, 7773, 267, 570, 267, 24230, 810, 742, 267, 717, 1299, 29139, 7219, 3772, 267, 595, 476, 1001, 276, 321, 267, 21846, 1374, 281, 606, 3872, 5943, 585, 14027, 519, 1353, 543, 1374, 540, 4264, 13289, 267, 3427, 540, 5071, 267, 31257, 631, 749, 517, 2160, 267, 29016, 267, 13698, 563, 298, 655, 332, 529, 267, 590, 1299, 5062, 307, 12000, 691, 267, 681, 476, 1220, 276, 267, 2048, 27396, 2218, 2962, 1382, 281, 32705, 2962, 543, 519, 1857, 12106, 8730, 769, 281, 9324, 345, 514, 267, 22374, 918, 1421, 543, 12493, 267, 962, 341, 30358, 590, 1421, 630, 2644, 4700, 634, 27041, 25156, 540, 12007, 1382, 267, 590, 720, 23549, 267, 23897, 663, 744, 6545, 267, 11404, 267, 6032, 269, 476, 4649, 280, 268, 2568, 274, 563, 303, 4394, 267, 631, 1299, 20484, 267, 966, 476, 2735, 275, 267, 2048, 763, 8129, 543, 4567, 540, 2962, 1382, 8730, 4750, 540, 4294, 8965, 2257, 267, 808, 2967, 4964, 267, 2019, 476, 736, 267, 1100, 476, 13647, 267, 6032, 269, 476, 13647, 268, 14862, 563, 306, 12888, 267, 2098, 778, 776, 267, 476, 1001, 279, 267, 1412, 7072, 281, 2069, 538, 513, 942, 1063, 10600, 267, 4659, 585, 15834, 1382, 883, 519, 10236, 18152, 3299, 4065, 538, 519, 10236, 18152, 281, 20304, 3564, 18375, 267, 9763, 4873, 476, 272, 267, 476, 1001, 280, 2999, 10059, 2517, 328, 4275, 3073, 2593, 270, 1001, 279, 270, 6860, 270, 4962, 270, 25531, 2987, 7308, 12845, 6605, 18152, 1922, 583, 999, 15515, 3219, 17469, 532, 270, 20101, 0, 307, 655, 704, 2137, 616, 8375, 269, 968, 2171, 2461, 7487, 519, 29224, 28782, 538, 6592, 1686, 267, 2789, 1296, 538, 513, 4737, 2223, 3220, 269, 16827, 26100, 2006, 5143, 29376, 292, 269, 1261, 779, 606, 6595, 4387, 269, 898, 779, 811, 1271, 982, 2479, 547, 917, 875, 547, 1832, 3579, 563, 18455, 2731, 3905, 568, 8886, 908, 269, 1656, 538, 3978, 2665, 267, 621, 666, 1291, 547, 4576, 269, 2334, 779, 835, 8594, 540, 1279, 3002, 6329, 269, 13957, 5503, 5210, 616, 849, 2362, 269, 1358, 2285, 1004, 1447, 942, 547, 3579, 1524, 563, 7312, 1560, 20781, 547, 3002, 538, 1082, 2081, 269, 2290, 568, 676, 24852, 269, 6271, 568, 676, 10237, 908, 2234, 5573, 547, 979, 856, 610, 6494, 856, 538, 782, 8846, 630, 14620, 264, 14333, 10237, 919, 689, 519, 3595, 2897, 269, 3002, 269, 2659, 1560, 1568, 2182, 547, 3251, 3579, 269, 853, 11691, 3579, 3096, 1648, 269, 1809, 972, 616, 2081, 547, 948, 707, 1560, 4308, 609, 3002, 563, 27609, 532, 585, 519, 14333, 454, 2791, 666, 1205, 1031, 547, 3002, 269, 1411, 666, 5721, 585, 519, 3905, 4365, 269, 24613, 12341, 3905, 286, 26100, 2006, 15565, 606, 5662, 3544, 1169, 1554, 267, 3056, 909, 547, 621, 563, 3891, 5267, 824, 2994, 547, 948, 2061, 3002, 4576, 269, 3680, 5230, 3635, 538, 519, 1647, 540, 519, 1554, 269, 23203, 10690, 267, 17426, 7802, 269, 2368, 7802, 786, 723, 513, 1164, 24505, 293, 267, 610, 22292, 1769, 22292, 1769, 606, 15865, 1769, 5951, 538, 7943, 602, 666, 581, 5739, 630, 29825, 264, 6129, 31653, 568, 513, 1390, 1259, 547, 2149, 3054, 689, 22292, 1769, 269, 4027, 3815, 269, 898, 666, 2149, 707, 2960, 899, 24429, 1281, 563, 2005, 779, 1271, 547, 3251, 19872, 269, 27276, 6266, 540, 1216, 267, 2523, 952, 596, 2461, 24852, 269, 1284, 6336, 32690, 23386, 513, 2556, 7777, 538, 519, 1560, 630, 29825, 264, 2701, 1743, 1678, 10538, 10433, 547, 1205, 32690, 1247, 1352, 729, 7210, 269, 538, 17570, 269, 6733, 585, 10425, 602, 5372, 873, 563, 2252, 596, 2461, 3544, 267, 1265, 930, 12094, 269, 1656, 2141, 979, 3330, 952, 596, 616, 4743, 1932, 3905, 269, 11374, 891, 4388, 786, 948, 596, 2972, 707, 4832, 9108, 269, 0, 16829, 593, 5239, 476, 2420, 267, 476, 1001, 276, 454, 13420, 710, 6391, 814, 922, 4023, 2671, 540, 2591, 267, 855, 7064, 547, 519, 1134, 25668, 5792, 744, 837, 21163, 334, 677, 27259, 14288, 11233, 630, 23701, 295, 1070, 1226, 710, 23262, 971, 607, 3220, 28199, 10067, 928, 616, 2111, 547, 798, 741, 25932, 585, 7210, 543, 13676, 9640, 602, 616, 4547, 538, 585, 2126, 269, 3220, 10067, 928, 568, 835, 540, 519, 1292, 1226, 710, 18874, 12665, 693, 744, 837, 21163, 334, 677, 630, 8008, 264, 543, 568, 13730, 827, 9640, 563, 763, 6791, 538, 519, 20513, 540, 27259, 3163, 814, 513, 3638, 267, 3838, 1702, 3490, 269, 966, 16191, 8369, 2285, 5813, 538, 2352, 5773, 543, 17116, 2665, 267, 543, 1419, 1291, 547, 3811, 4093, 538, 1226, 710, 6391, 563, 763, 744, 22849, 295, 12034, 513, 3099, 540, 1226, 710, 2175, 543, 13000, 5198, 9640, 543, 3484, 9640, 269, 744, 9405, 547, 1533, 540, 519, 1148, 3937, 267, 1519, 4359, 9196, 3937, 971, 607, 11632, 543, 5642, 18767, 267, 1226, 710, 23262, 666, 5531, 1454, 1344, 1354, 5665, 269, 2368, 540, 519, 5773, 3220, 10067, 928, 15824, 5781, 616, 5959, 1349, 687, 267, 22272, 541, 8113, 641, 625, 543, 818, 628, 14029, 641, 625, 563, 7804, 10067, 928, 6941, 602, 540, 782, 6469, 2249, 267, 9640, 616, 4440, 835, 540, 519, 1034, 7294, 547, 7500, 593, 269, 32130, 798, 711, 4431, 1134, 547, 16562, 652, 12060, 543, 2022, 268, 10869, 6051, 568, 513, 2101, 4161, 269, 2048, 4407, 513, 536, 990, 710, 786, 9114, 1524, 23900, 2394, 621, 568, 4712, 547, 1205, 909, 267, 606, 1226, 710, 786, 7914, 909, 543, 4278, 1662, 1472, 267, 4881, 519, 1981, 540, 12517, 3614, 1005, 3294, 16224, 6941, 3220, 10067, 928, 269, 898, 568, 711, 16613, 585, 513, 7504, 602, 568, 23232, 689, 606, 16562, 20469, 547, 1205, 909, 1932, 4166, 543, 18867, 2736, 513, 18215, 269, 27118, 17561, 666, 849, 2014, 9640, 685, 12271, 547, 3247, 543, 676, 2348, 547, 9114, 1524, 1282, 606, 5106, 267, 6091, 610, 13285, 666, 581, 28855, 2213, 267, 1256, 4611, 538, 26900, 269, 700, 3539, 1524, 585, 1279, 5712, 666, 849, 1267, 538, 9640, 685, 9641, 2458, 2355, 532, 269, 3220, 10067, 928, 8591, 602, 621, 568, 16122, 585, 1226, 710, 23262, 547, 1832, 3950, 540, 519, 942, 7683, 1317, 1169, 8792, 12523, 1282, 6391, 563, 13420, 710, 23262, 2066, 519, 1158, 723, 8179, 4244, 2081, 547, 16562, 652, 2867, 1047, 891, 1804, 2831, 269, 3220, 10067, 928, 814, 27058, 519, 5578, 540, 7900, 6391, 1247, 519, 7504, 568, 7555, 543, 5781, 1281, 18980, 6391, 543, 22272, 541, 8113, 641, 625, 609, 1010, 3461, 538, 606, 20005, 2990, 563, 295, 8503, 616, 9425, 11630, 547, 5959, 2175, 267, 799, 666, 2285, 4473, 547, 8374, 269, 634, 5072, 540, 1896, 540, 519, 4522, 1694, 538, 519, 18980, 19659, 543, 606, 3968, 538, 513, 5694, 666, 3533, 1020, 883, 513, 18980, 3968, 269, 5221, 540, 519, 1164, 28658, 2557, 267, 3220, 10067, 928, 1281, 5959, 5773, 1247, 519, 7504, 568, 6822, 730, 543, 7555, 952, 693, 782, 2009, 563, 7804, 10067, 928, 814, 513, 16994, 1719, 538, 1883, 3620, 1961, 6391, 971, 607, 22272, 541, 8113, 641, 625, 267, 818, 628, 14029, 641, 625, 543, 3935, 8113, 641, 625, 269, 4438, 513, 22272, 541, 22000, 513, 20249, 19945, 6776, 6293, 568, 17332, 998, 519, 14159, 3774, 540, 519, 7504, 547, 2070, 519, 8219, 538, 519, 17737, 610, 5512, 1507, 8397, 6391, 269, 1488, 628, 18122, 568, 1031, 547, 13209, 543, 1521, 4745, 2042, 676, 29780, 513, 7522, 8546, 7923, 547, 513, 6775, 19945, 6776, 3381, 8254, 998, 513, 1507, 1651, 1707, 269, 4438, 513, 3935, 22000, 267, 513, 9165, 568, 17332, 538, 519, 14159, 1858, 538, 1931, 547, 4983, 543, 1491, 1979, 3591, 625, 540, 519, 3935, 563, 7804, 10067, 928, 814, 849, 5340, 6939, 25403, 573, 6391, 593, 9640, 538, 519, 20005, 2990, 269, 769, 6939, 25403, 573, 1143, 267, 835, 1449, 1834, 1281, 711, 13956, 883, 519, 1085, 8527, 636, 543, 814, 547, 581, 6569, 689, 519, 17737, 563, 3891, 568, 29341, 547, 723, 8036, 896, 3220, 2977, 534, 3057, 9820, 630, 821, 540, 1010, 23003, 1070, 543, 7959, 602, 646, 568, 1134, 593, 1010, 1259, 547, 8236, 1010, 3804, 540, 3384, 1010, 10551, 1983, 547, 1831, 519, 1655, 1226, 710, 18874, 2009, 563, 7804, 3057, 9820, 568, 513, 9972, 32082, 538, 1226, 710, 6391, 945, 814, 1044, 3351, 2358, 1010, 6791, 547, 798, 16854, 960, 593, 2831, 538, 519, 3552, 269, 1261, 543, 3220, 15168, 14551, 6008, 523, 330, 2086, 616, 519, 6422, 5918, 334, 945, 3323, 30540, 519, 18984, 643, 832, 267, 513, 10872, 6322, 693, 8156, 11002, 3626, 602, 723, 1044, 13676, 1282, 1093, 2286, 13685, 269, 3220, 10067, 928, 814, 5249, 5702, 609, 3220, 3057, 9820, 1282, 930, 540, 891, 4238, 593, 11002, 3626, 267, 543, 950, 3220, 3057, 9820, 568, 538, 519, 2361, 267, 3220, 10067, 928, 1419, 6763, 538, 547, 6023, 519, 7320, 10551, 2665, 693, 519, 744, 22849, 295, 563, 15648, 9736, 2160, 540, 23239, 18319, 476, 1708, 274, 269, 2353, 2924, 11603, 563, 26542, 268, 866, 4856, 7431, 24295, 3162, 3979, 12754, 5800, 531, 454, 2414, 3346, 519, 2160, 1282, 519, 5046, 268, 866, 27579, 267, 5225, 6494, 606, 4757, 547, 1496, 16942, 6870, 2639, 7476, 4317, 2060, 2974, 454, 12606, 519, 24505, 16353, 2561, 0, 268, 589, 1596, 1170, 800, 4063, 568, 513, 3656, 3561, 602, 14592, 519, 2474, 540, 513, 10211, 267, 1519, 23231, 618, 11650, 267, 12375, 267, 543, 811, 267, 543, 8078, 919, 1312, 519, 10210, 518, 543, 561, 2658, 547, 705, 728, 676, 1346, 2474, 563, 268, 634, 4063, 666, 1331, 1808, 3877, 971, 607, 519, 10210, 518, 543, 561, 2658, 779, 9163, 267, 519, 10211, 2179, 267, 1719, 2557, 267, 23231, 618, 2474, 267, 15657, 4266, 267, 543, 32097, 630, 604, 1022, 1916, 268, 1703, 616, 1079, 1292, 6688, 540, 1596, 1170, 800, 4967, 281, 17956, 630, 5976, 32097, 264, 543, 796, 5913, 3293, 630, 23719, 32097, 1040, 8871, 1170, 800, 4967, 616, 1114, 689, 594, 5495, 338, 543, 616, 16155, 17997, 762, 6054, 563, 288, 1596, 1170, 800, 4063, 568, 513, 3656, 3561, 602, 2882, 3573, 543, 1808, 3877, 827, 513, 10211, 779, 2474, 269, 5637, 519, 561, 2658, 543, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1626, 7420, 5426, 1384, 5723, 7374, 568, 513, 4009, 269, 623, 568, 519, 30268, 540, 9474, 543, 568, 8678, 547, 595, 269, 589, 1899, 689, 667, 13902, 547, 7193, 10742, 519, 1899, 693, 519, 1448, 1627, 269, 28171, 589, 304, 815, 5084, 780, 2162, 623, 732, 336, 1401, 1235, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 3682, 557, 602, 267, 2016, 1022, 1614, 6252, 3515, 267, 606, 31164, 6906, 2141, 6818, 609, 835, 14584, 593, 1142, 540, 519, 1614, 3515, 780, 2162, 3213, 1231, 593, 513, 17934, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 32622, 589, 267, 645, 543, 595, 616, 519, 18013, 540, 1614, 10580, 267, 1142, 835, 540, 799, 18953, 519, 824, 1079, 269, 28171, 602, 519, 15943, 540, 519, 6906, 13235, 568, 3160, 547, 519, 8006, 540, 519, 4102, 5858, 780, 7462, 6520, 476, 1556, 547, 476, 1626, 7420, 5426, 1384, 19352, 930, 9076, 559, 831, 1023, 593, 513, 476, 280, 15304, 5858, 543, 960, 856, 519, 7285, 269, 1772, 972, 513, 11532, 2496, 2162, 18471, 543, 18471, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 3682, 557, 602, 519, 26484, 1858, 540, 519, 12931, 22511, 568, 3160, 547, 519, 1858, 540, 519, 6418, 5858, 780, 2162, 15328, 1149, 14329, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 16248, 2798, 589, 267, 645, 543, 595, 9114, 538, 713, 1931, 593, 513, 1899, 267, 543, 623, 568, 1022, 1448, 538, 519, 7077, 269, 2422, 519, 15328, 710, 14329, 547, 6961, 519, 1739, 3948, 780, 2162, 674, 13783, 17773, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 1432, 8454, 666, 596, 7941, 519, 15497, 540, 513, 4009, 883, 676, 2241, 24208, 2496, 2162, 10222, 9771, 28249, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 10374, 7420, 5426, 1384, 1432, 568, 519, 4102, 1297, 540, 10167, 2798, 602, 513, 6906, 543, 513, 29105, 666, 723, 2496, 2162, 918, 924, 538, 513, 12384, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 4692, 596, 1118, 2631, 540, 519, 1614, 2409, 547, 960, 856, 519, 1858, 540, 519, 30866, 538, 519, 4009, 2496, 2162, 674, 13783, 8293, 4100, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 763, 15497, 540, 513, 4009, 12969, 338, 519, 1899, 11836, 835, 540, 519, 30694, 15174, 547, 519, 30268, 540, 519, 6587, 2427, 269, 1548, 798, 596, 5469, 827, 519, 1899, 12415, 3812, 2496, 2162, 3143, 9406, 24234, 3371, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 3682, 557, 602, 519, 4835, 5086, 20312, 26662, 540, 513, 6906, 786, 2760, 581, 13902, 547, 1142, 824, 780, 2162, 2859, 7089, 9995, 23495, 1127, 692, 7462, 6520, 476, 1556, 547, 476, 1626, 7420, 5426, 1384, 2691, 568, 621, 7543, 547, 1118, 1297, 32409, 2496, 2162, 932, 877, 548, 976, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 12640, 6866, 1079, 669, 877, 548, 976, 540, 1114, 15437, 2743, 789, 1689, 7990, 547, 519, 3791, 7990, 269, 14674, 519, 20125, 5311, 540, 11401, 538, 799, 782, 519, 669, 877, 548, 976, 1689, 547, 3039, 952, 596, 1376, 609, 476, 1321, 269, 1547, 1547, 16317, 2162, 13158, 1399, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 2252, 596, 917, 519, 7306, 540, 519, 7285, 6825, 609, 25549, 15956, 538, 713, 6516, 799, 7285, 666, 596, 1265, 676, 9819, 2496, 2162, 24234, 2558, 529, 1254, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 2005, 568, 7543, 547, 959, 529, 624, 606, 5086, 1210, 1152, 14610, 543, 735, 13293, 855, 621, 666, 581, 2944, 1210, 513, 15790, 10938, 781, 4009, 780, 2162, 4855, 519, 674, 820, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 2467, 616, 476, 1321, 9838, 3168, 11113, 267, 835, 540, 799, 568, 513, 16995, 269, 634, 4831, 10623, 527, 11777, 568, 540, 513, 1114, 2597, 547, 519, 1964, 269, 1548, 568, 519, 5934, 1297, 540, 9260, 902, 2877, 547, 12398, 519, 16995, 11777, 2496, 2162, 700, 2389, 686, 558, 3626, 525, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 299, 2468, 558, 3626, 525, 666, 3514, 1927, 547, 1118, 3677, 8747, 540, 2933, 269, 1772, 1169, 2450, 2009, 547, 1118, 538, 713, 1259, 2496, 2162, 19999, 692, 7462, 6520, 476, 1691, 547, 476, 1240, 7420, 5426, 1384, 763, 6516, 2982, 513, 2834, 20008, 6782, 609, 5011, 540, 1770, 3259, 269, 4855, 782, 519, 7285, 538, 519, 6516, 269, 28171, 602, 519, 29105, 3254, 538, 2699, 568, 513, 32077, 639, 780, 2162, 18806, 8688, 908, 1261, 343, 30368, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 7617, 15279, 30368, 512, 525, 8688, 622, 2496, 2162, 12384, 6399, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 3674, 519, 1611, 540, 519, 10945, 540, 1079, 2338, 3152, 982, 267, 610, 1447, 982, 267, 519, 4009, 540, 741, 1797, 2496, 2162, 1230, 2091, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 28733, 569, 952, 513, 267, 536, 543, 524, 616, 519, 13080, 540, 519, 5011, 540, 606, 31164, 6906, 1287, 513, 317, 273, 1341, 536, 317, 273, 1341, 524, 317, 273, 815, 705, 1341, 27652, 1341, 1309, 269, 1772, 519, 598, 2091, 3020, 2496, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 19177, 9925, 25527, 2671, 741, 6006, 269, 2052, 596, 960, 856, 519, 3448, 2418, 540, 741, 21889, 2496, 2162, 1230, 570, 9581, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 692, 2080, 616, 930, 1806, 540, 1412, 4621, 3299, 543, 1294, 952, 596, 666, 4137, 856, 1141, 519, 8945, 568, 780, 2162, 1230, 557, 343, 12443, 326, 976, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 17004, 602, 1851, 519, 9703, 7285, 540, 513, 23756, 20372, 972, 3112, 581, 811, 982, 1614, 8650, 7285, 780, 2162, 22493, 24747, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 288, 5458, 8868, 568, 12902, 2250, 707, 6885, 269, 1548, 798, 596, 1294, 2496, 2162, 634, 674, 4471, 2763, 10326, 692, 7462, 6520, 476, 1556, 547, 476, 1626, 692, 303, 16993, 602, 10956, 538, 513, 1899, 616, 9490, 569, 4277, 269, 1215, 1082, 2010, 616, 972, 543, 875, 798, 596, 2995, 835, 1826, 689, 1776, 2496, 2162, 16514, 9452, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 4692, 596, 1294, 875, 713, 4605, 14550, 519, 4542, 585, 519, 2040, 540, 519, 1101, 3670, 13306, 2338, 2496, 2162, 7849, 5681, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 763, 4605, 14550, 519, 2040, 476, 272, 1341, 476, 273, 1341, 476, 274, 1341, 476, 275, 815, 630, 275, 1535, 476, 276, 8358, 273, 269, 28171, 519, 2489, 4542, 585, 519, 2040, 540, 519, 1101, 562, 2067, 2338, 543, 519, 4542, 585, 519, 2040, 540, 519, 18695, 540, 519, 1101, 562, 2067, 269, 1547, 1547, 16317, 2162, 21121, 5549, 22511, 594, 614, 566, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 16605, 14335, 12730, 538, 519, 1651, 22511, 540, 519, 3105, 6906, 269, 1548, 4523, 2496, 2162, 5149, 17773, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 13706, 519, 3830, 476, 272, 21669, 1341, 476, 272, 11486, 1341, 476, 272, 11305, 815, 476, 272, 1141, 513, 267, 536, 543, 524, 616, 2067, 2338, 543, 476, 271, 2999, 513, 2999, 536, 2999, 524, 269, 28171, 602, 972, 568, 1152, 835, 1305, 540, 2418, 799, 14183, 713, 3830, 780, 2162, 2859, 7089, 24911, 1749, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 2691, 1297, 26829, 723, 513, 5311, 593, 519, 5377, 4494, 267, 930, 4277, 3270, 10836, 1862, 0, 258, 13138, 5456, 16688, 4953, 23802, 11550, 25770, 5960, 2475, 5058, 9517, 28718, 25765, 692, 1012, 6168, 834, 307, 3419, 517, 5852, 2042, 1210, 9163, 5016, 307, 3419, 517, 5852, 2042, 1210, 9163, 1109, 732, 1454, 3730, 547, 519, 3214, 945, 1131, 899, 547, 2259, 2042, 593, 25066, 9163, 780, 6524, 649, 1413, 693, 519, 2042, 593, 25066, 9163, 267, 1577, 721, 723, 513, 1413, 593, 930, 1271, 25066, 9163, 780, 1012, 2368, 1271, 25066, 5772, 885, 692, 4131, 721, 1294, 519, 23483, 25066, 9163, 692, 7562, 16564, 815, 476, 272, 14727, 846, 322, 16564, 692, 290, 846, 322, 16564, 815, 476, 272, 4882, 514, 16564, 692, 290, 657, 16564, 815, 476, 272, 270, 5913, 16564, 692, 5913, 16564, 815, 476, 272, 270, 6523, 16564, 692, 11927, 16564, 815, 476, 272, 11305, 582, 16564, 692, 20799, 16564, 815, 476, 272, 270, 11927, 1109, 15184, 692, 7562, 11054, 16564, 1109, 1341, 5430, 11054, 16564, 815, 476, 272, 692, 7562, 11054, 16564, 1109, 815, 476, 272, 910, 5430, 11054, 16564, 692, 6523, 11054, 16564, 815, 476, 272, 910, 5609, 11054, 16564, 692, 5913, 11054, 16564, 910, 16009, 11054, 16564, 815, 476, 272, 692, 5913, 11054, 16564, 1109, 815, 476, 272, 1341, 1109, 16009, 11054, 16564, 692, 11927, 11054, 16564, 1109, 815, 476, 1109, 5913, 11054, 16564, 910, 476, 272, 692, 322, 2675, 11054, 1109, 15184, 910, 28422, 11054, 16564, 815, 476, 272, 692, 322, 2675, 11054, 16564, 815, 476, 272, 1341, 28422, 11054, 16564, 692, 20799, 11054, 16564, 815, 476, 1109, 322, 2675, 11054, 16564, 910, 476, 272, 692, 1012, 26344, 5852, 2042, 1210, 9163, 692, 19370, 476, 272, 23241, 3682, 557, 2433, 1109, 263, 272, 910, 5430, 11054, 16564, 264, 524, 2675, 11054, 16564, 476, 1109, 284, 476, 1109, 272, 692, 11405, 23241, 4131, 589, 476, 1109, 284, 476, 1109, 263, 272, 910, 5430, 11054, 16564, 264, 524, 2675, 11054, 16564, 476, 30548, 692, 289, 476, 1109, 284, 476, 1109, 272, 692, 288, 476, 1109, 284, 476, 1109, 263, 272, 910, 5430, 11054, 16564, 264, 524, 2675, 11054, 16564, 692, 7712, 476, 1109, 7562, 11054, 16564, 1341, 1109, 6523, 11054, 16564, 476, 1109, 284, 476, 1109, 272, 267, 649, 723, 476, 1109, 7562, 11054, 16564, 476, 1109, 284, 476, 272, 910, 1109, 6523, 11054, 16564, 692, 288, 476, 1109, 284, 476, 1109, 7562, 11054, 16564, 1535, 1109, 322, 2675, 11054, 16564, 692, 2171, 917, 602, 1109, 322, 2675, 11054, 16564, 476, 1109, 284, 476, 1109, 272, 4882, 514, 11054, 16564, 692, 288, 476, 1109, 284, 476, 1109, 7562, 11054, 16564, 1535, 1109, 272, 4882, 514, 11054, 16564, 692, 288, 476, 1109, 284, 476, 1109, 272, 692, 288, 476, 1109, 284, 476, 1109, 289, 1109, 1160, 1386, 692, 4131, 721, 1413, 693, 519, 1985, 1966, 593, 834, 307, 3419, 517, 5852, 2042, 1210, 9163, 5016, 19370, 476, 273, 23241, 3682, 557, 2433, 3813, 16564, 20734, 263, 272, 910, 5609, 476, 11054, 16564, 264, 815, 476, 272, 692, 11405, 23241, 4131, 589, 476, 1109, 284, 476, 1109, 5913, 16564, 20734, 263, 272, 910, 5609, 476, 11054, 16564, 264, 476, 30548, 692, 289, 476, 1109, 284, 476, 1109, 272, 692, 288, 476, 1109, 284, 476, 1109, 5913, 16564, 20734, 263, 272, 910, 5609, 476, 11054, 16564, 2020, 7712, 476, 1109, 7562, 11054, 16564, 1341, 1109, 6523, 11054, 16564, 476, 1109, 284, 476, 1109, 272, 267, 649, 723, 476, 1109, 6523, 11054, 16564, 476, 1109, 284, 476, 272, 910, 5609, 11054, 16564, 692, 288, 476, 1109, 284, 476, 1109, 5913, 16564, 20734, 6523, 476, 11054, 16564, 692, 288, 476, 1109, 284, 476, 1109, 5913, 16564, 1535, 5430, 16564, 692, 288, 476, 1109, 284, 476, 1109, 5913, 1109, 15184, 1535, 1109, 272, 270, 5913, 16564, 692, 288, 476, 1109, 284, 476, 1109, 272, 692, 288, 476, 1109, 284, 476, 1109, 289, 1109, 1160, 1386, 692, 4131, 721, 1413, 693, 519, 1985, 1966, 593, 834, 307, 3419, 517, 5852, 2042, 1210, 9163, 5016, 19370, 476, 274, 23241, 3682, 557, 2433, 16009, 1109, 15184, 7562, 16564, 1341, 5430, 16564, 476, 1109, 284, 476, 1109, 5913, 16564, 692, 11405, 23241, 4131, 589, 476, 1109, 284, 476, 1109, 11927, 1109, 15184, 7562, 16564, 1341, 5430, 16564, 476, 30548, 692, 289, 815, 476, 1109, 5913, 16564, 692, 288, 476, 1109, 284, 476, 1109, 11927, 1109, 15184, 7562, 16564, 1341, 5430, 16564, 692, 288, 476, 1109, 284, 476, 1109, 4433, 514, 16564, 270, 6523, 16564, 264, 7562, 16564, 1341, 5430, 16564, 692, 288, 476, 1109, 284, 476, 1109, 4433, 514, 11054, 16564, 270, 6523, 16564, 264, 1341, 5430, 16564, 692, 288, 476, 1109, 284, 476, 1109, 4433, 514, 11054, 16564, 1341, 5430, 11054, 16564, 264, 1315, 5430, 16564 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 1220, 275, 1916, 17484, 578, 267, 590, 269, 589, 269, 5358, 4364, 547, 3251, 1927, 269, 7186, 476, 29575, 267, 476, 31404, 1700, 31979, 630, 1960, 277, 1916, 290, 709, 572, 267, 670, 269, 966, 1421, 9466, 267, 589, 269, 1299, 631, 636, 5112, 267, 645, 269, 595, 269, 700, 269, 700, 15694, 18472, 543, 519, 1966, 540, 15694, 29501, 532, 538, 2233, 4673, 630, 306, 857, 541, 13160, 267, 667, 760, 614, 320, 1040, 26537, 657, 5448, 476, 4097, 267, 476, 27844, 1700, 26552, 630, 3192, 272, 1916, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 305, 22462, 987, 267, 681, 1421, 10469, 330, 520, 778, 8403, 11672, 267, 717, 269, 14086, 32450, 609, 22308, 3631, 269, 14844, 4860, 2637, 564, 476, 278, 267, 476, 279, 736, 630, 1220, 277, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 14672, 337, 326, 14065, 275, 2275, 272, 0, 306, 23186, 5170, 1200, 4901, 540, 19807, 543, 28908, 2059, 609, 519, 2318, 2360, 891, 3527, 666, 1711, 269, 901, 3018, 6212, 593, 1582, 16519, 326, 4369, 543, 1582, 19356, 13920, 269, 8682, 268, 1002, 1042, 543, 1582, 268, 9080, 8540, 666, 3247, 721, 689, 2713, 689, 938, 12271, 865, 621, 568, 513, 1883, 1900, 547, 1491, 269, 2701, 2488, 1776, 1305, 540, 2853, 602, 786, 948, 596, 31799, 3054, 563, 338, 559, 775, 1557, 15986, 3898, 1557, 7291, 1383, 2923, 2090, 17440, 12031, 585, 8808, 4110, 979, 547, 3135, 5098, 3409, 4214, 3932, 5037, 585, 1382, 4574, 1246, 29250, 1870, 1867, 10959, 3382, 4484, 9614, 2298, 3732, 28581, 1557, 538, 2261, 27821, 28957, 4444, 3594, 6538, 5291, 2517, 6665, 762, 15161, 2593, 270, 6011, 25829, 17898, 550, 2173, 344, 1606, 28026, 8686, 659, 566, 268, 22967, 16519, 10275, 1749, 268, 14065, 5780, 270, 544, 7795, 338, 12031, 4808, 476, 1001, 276, 1294, 29250, 4179, 2517, 8243, 691, 21129, 3820, 4882, 7220, 11305, 739, 268, 1017, 529, 2914, 531, 27926, 270, 1321, 270, 524, 658, 529, 562, 584, 556, 2763, 696, 1603, 519, 25719, 12031, 513, 9836, 1935, 19274, 27558, 513, 20294, 11896, 10682, 5152, 23116, 1557, 1870, 4179, 2517, 29442, 4565, 3820, 270, 5733, 1562, 14672, 1551, 894, 268, 22967, 20675, 819, 531, 2914, 3581, 270, 2568, 270, 4179, 2517, 327, 558, 655, 16104, 3820, 270, 19895, 270, 719, 1467, 16519, 8584, 12413, 6873, 268, 22967, 270, 5379, 270, 4179, 2517, 601, 16223, 691, 322, 643, 1112, 515, 11128, 3820, 24579, 27760, 270, 8083, 25703, 1673, 1170, 10488, 270, 274, 270, 524, 2096, 4472, 3279, 543, 546, 531, 2006, 324, 581, 3144, 1927, 19274, 27558, 1510, 13310, 538, 642, 28126, 669, 8522, 8261, 2511, 1557, 1246, 29250, 979, 4808, 585, 1557, 1449, 2079, 540, 18572, 1557, 9718, 12031, 1294, 30991, 281, 476, 2420, 281, 4375, 0, 26394, 269, 476, 272, 268, 273, 1397, 6424, 5275, 2696, 3248, 26394, 269, 476, 274, 268, 277, 1397, 6424, 9547, 609, 2696, 3248, 26394, 269, 476, 278, 268, 279, 11760, 2696, 779, 2250, 948, 3248, 26394, 269, 476, 280, 268, 1556, 1533, 6424, 779, 5132, 538, 2696, 779, 1459, 948, 3248, 1607, 25360, 332, 540, 6424, 13352, 609, 1010, 8184, 998, 513, 19069, 540, 28311, 689, 1010, 15141, 1190, 5067, 267, 12559, 531, 558, 630, 273, 15656, 476, 1428, 281, 1691, 268, 1789, 1040, 3509, 4190, 25360, 916, 616, 2854, 856, 540, 5918, 816, 610, 8373, 267, 543, 1397, 875, 18803, 543, 9808, 559, 649, 2731, 616, 269, 2368, 540, 519, 1655, 2053, 547, 10847, 2696, 616, 950, 649, 616, 693, 938, 9803, 563, 309, 619, 525, 476, 272, 268, 273, 281, 6424, 779, 2123, 2078, 609, 2696, 12462, 3240, 2696, 25257, 1010, 11235, 1145, 12462, 15900, 25257, 1010, 2620, 7287, 12462, 338, 9567, 19818, 338, 2223, 968, 3240, 17145, 1279, 338, 25257, 4766, 1010, 991, 547, 1265, 2696, 12462, 514, 519, 25113, 26158, 968, 26596, 551, 4231, 892, 568, 513, 10723, 1747, 12912, 676, 2696, 585, 3571, 4527, 547, 581, 6719, 269, 2696, 5143, 5840, 267, 998, 15584, 282, 968, 4517, 1577, 873, 1118, 2725, 513, 25113, 267, 602, 594, 949, 17743, 1851, 873, 269, 4340, 547, 782, 602, 594, 1397, 596, 267, 602, 568, 267, 519, 4806, 540, 519, 9184, 1716, 12386, 543, 519, 4806, 540, 782, 922, 29939, 902, 267, 1175, 865, 596, 4927, 1118, 621, 892, 630, 2750, 21402, 476, 1839, 281, 279, 268, 280, 1040, 634, 968, 338, 534, 551, 4231, 892, 585, 10271, 568, 711, 513, 2679, 267, 855, 606, 10198, 540, 519, 5939, 540, 2441, 269, 898, 729, 547, 519, 968, 577, 3420, 540, 2696, 693, 29833, 892, 602, 2696, 1767, 281, 968, 2690, 596, 616, 519, 11454, 540, 519, 2713, 2696, 269, 1306, 2696, 814, 1767, 281, 968, 296, 786, 17743, 538, 873, 1656, 3802, 1851, 873, 269, 594, 786, 581, 741, 2696, 267, 1656, 789, 4927, 581, 3733, 1004, 892, 630, 273, 29833, 2103, 476, 272, 281, 272, 282, 476, 277, 281, 1626, 1040, 4906, 685, 13794, 267, 899, 6424, 267, 616, 25552, 968, 15367, 14000, 543, 19818, 585, 32660, 267, 1280, 789, 4927, 581, 4904, 892, 630, 31861, 476, 276, 281, 277, 1916, 309, 619, 525, 476, 274, 268, 277, 281, 2290, 1590, 5963, 581, 9420, 539, 547, 519, 5168, 547, 3717, 540, 519, 6196, 11620, 2696, 607, 13842, 23752, 543, 2112, 2173, 784, 1359, 267, 855, 519, 1715, 11620, 2696, 607, 15962, 543, 8483, 1516, 269, 1548, 267, 1287, 267, 4523, 547, 6424, 779, 4704, 547, 713, 2696, 607, 2348, 968, 331, 8221, 11779, 1145, 9495, 898, 568, 968, 331, 8221, 11779, 1145, 892, 799, 12987, 6424, 547, 968, 335, 571, 1047, 2223, 968, 321, 1652, 2223, 543, 968, 331, 3424, 909, 1496, 20130, 316, 3946, 892, 547, 2696, 269, 769, 968, 320, 3819, 543, 19818, 344, 2244, 2223, 6424, 9060, 5289, 9547, 12462, 553, 609, 20768, 543, 3170, 1145, 892, 5148, 1498, 968, 11004, 568, 1100, 1216, 2223, 6424, 779, 5023, 666, 968, 335, 571, 1047, 892, 2696, 282, 782, 3781, 1279, 267, 6424, 666, 1265, 4313, 538, 2696, 779, 1416, 269, 8447, 948, 1705, 2097, 267, 2705, 630, 273, 15656, 476, 1704, 281, 2767, 268, 3066, 1916, 309, 619, 525, 476, 278, 268, 279, 281, 9122, 2390, 2696, 779, 4027, 538, 519, 2250, 12462, 17647, 1044, 1250, 948, 25257, 6424, 1586, 11394, 12062, 896, 2696, 779, 968, 342, 902, 2223, 1010, 968, 338, 9567, 892, 1739, 2696, 779, 4287, 267, 4743, 6462, 676, 2696, 779, 968, 2431, 1688, 1848, 1452, 2168, 782, 16272, 547, 2696, 607, 952, 1261, 1185, 513, 2168, 1560, 616, 17033, 513, 1480, 1210, 2168, 2474, 547, 1174, 875, 1271, 2696, 2731, 568, 563, 309, 619, 525, 476, 280, 268, 1556, 281, 1677, 968, 2998, 883, 519, 2539, 2694, 540, 519, 3618, 892, 5693, 6920, 602, 6424, 779, 14763, 1131, 5884, 282, 543, 602, 968, 16269, 4927, 2887, 676, 519, 18156, 892, 2982, 741, 7972, 1131, 581, 4448, 609, 5208, 282, 543, 602, 968, 16269, 4927, 581, 513, 6712, 585, 13544, 1023, 892, 25221, 741, 20420, 538, 2669, 267, 585, 741, 4703, 616, 2451, 547, 7320, 267, 799, 5949, 538, 476, 273, 15656, 476, 1240, 281, 277, 268, 279, 1547, 6424, 779, 17192, 585, 2696, 786, 3136, 267, 855, 2669, 786, 3247, 519, 968, 15533, 892, 540, 1010, 30201, 12781, 269, 21125, 779, 7326, 1131, 2161, 281, 968, 288, 7301, 7198, 786, 711, 979, 10002, 684, 1639, 267, 1656, 646, 945, 14753, 6013, 786, 711, 9101, 892, 630, 3682, 18690, 476, 866, 281, 276, 1916, 5472, 14644, 999, 543, 8292, 616, 1759, 2390, 519, 1715, 3751, 6276, 19405, 267, 8259, 6382, 7074, 269, 0, 13775, 693, 14349, 267, 476, 2918, 5181, 476, 1708, 271, 269, 7335, 6096, 269, 1635, 570, 858, 534, 773, 15196, 518, 563, 303, 16993, 543, 15971, 543, 2596, 1840, 543, 12408, 1058, 1246, 593, 689, 10203, 543, 1297, 6284, 269, 1635, 519, 942, 707, 1126, 568, 4358, 9656, 610, 1153, 267, 789, 1058, 581, 2111, 547, 1293, 547, 476, 736, 609, 8897, 267, 2328, 2338, 267, 798, 2241, 1840, 18304, 267, 543, 723, 930, 1620, 540, 3270, 543, 9696, 269, 4634, 952, 789, 616, 11504, 9251, 267, 3063, 2259, 693, 1753, 786, 948, 873, 2087, 741, 2979, 269, 589, 9836, 1305, 540, 6128, 3211, 786, 948, 596, 4001, 707, 1126, 519, 2596, 3741, 540, 2979, 543, 948, 873, 5965, 585, 1153, 269, 6096, 666, 581, 1031, 607, 519, 4493, 585, 10203, 543, 4946, 3756, 543, 824, 2238, 269, 9752, 707, 1126, 609, 3211, 849, 2306, 873, 811, 6899, 609, 3257, 3211, 910, 799, 786, 948, 873, 950, 789, 1205, 547, 9656, 543, 1153, 267, 1141, 3211, 616, 1031, 1169, 1554, 563, 13981, 827, 2338, 2882, 9301, 2854, 2338, 607, 1134, 607, 519, 7274, 1346, 2338, 2099, 269, 9119, 3211, 1058, 1683, 513, 3099, 540, 1187, 2238, 602, 4001, 707, 1126, 1312, 2338, 543, 7274, 269, 6733, 585, 513, 3099, 540, 1114, 2081, 547, 1459, 519, 1482, 2035, 269, 901, 11226, 1620, 543, 11151, 30627, 269, 7822, 8386, 9539, 13246, 5961, 616, 513, 1187, 1259, 547, 1451, 827, 2338, 543, 4778, 1932, 563, 7197, 12531, 2253, 609, 606, 7778, 540, 2596, 12980, 4238, 12077, 281, 1840, 267, 12408, 267, 8691, 267, 543, 6498, 269, 13129, 7515, 616, 13859, 547, 1683, 10881, 585, 2656, 2790, 12980, 543, 17117, 540, 2979, 5013, 269, 1879, 4712, 547, 581, 7318, 267, 519, 2875, 666, 2824, 513, 16590, 267, 799, 814, 476, 1015, 2055, 543, 616, 5697, 689, 513, 6538, 540, 1297, 8424, 585, 9819, 269, 634, 9978, 5426, 12531, 946, 2241, 2582, 7857, 2338, 543, 519, 7317, 2979, 3301, 693, 519, 11628, 5426, 3096, 6140, 5595, 7857, 2338, 585, 2979, 2259, 2042, 269, 3962, 16590, 568, 1287, 20639, 543, 31764, 609, 519, 2164, 10710, 269, 2060, 519, 1449, 5638, 267, 1053, 666, 1246, 741, 1378, 3356, 543, 4079, 945, 949, 581, 27459, 2358, 666, 6895, 3356, 543, 2708, 952, 972, 616, 1022, 1565, 2152, 602, 2154, 6304, 563, 12179, 1543, 267, 22028, 779, 267, 610, 824, 1570, 602, 1522, 581, 1336, 593, 519, 1473, 773, 3930, 325, 1371, 3896, 602, 568, 711, 1473, 773, 3930, 325, 1371, 779, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 1473, 773, 3930, 325, 1371, 3409, 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, 1473, 773, 3930, 325, 1371, 269, 2353, 7126, 27616, 269, 0, 10817, 4575, 1426, 998, 519, 1062, 568, 513, 1184, 1289, 829, 626, 1023, 529, 269, 1284, 723, 829, 626, 1023, 529, 538, 519, 3935, 267, 11319, 22454, 547, 519, 3935, 585, 608, 17917, 267, 543, 649, 849, 723, 829, 626, 1023, 529, 538, 519, 1507, 16892, 267, 11319, 1426, 9115, 998, 547, 1450, 585, 8770, 10338, 543, 519, 1964, 585, 22638, 608, 17917, 269, 769, 519, 16038, 267, 835, 1271, 829, 626, 5306, 545, 5163, 568, 20291, 676, 1018, 649, 1289, 519, 20353, 7992, 16359, 13216, 267, 610, 519, 631, 10157, 269, 634, 631, 10157, 267, 538, 519, 17509, 1533, 630, 773, 476, 3445, 910, 6344, 2381, 1310, 649, 3548, 1070, 4384, 919, 513, 26349, 5951, 602, 2337, 7903, 9115, 998, 543, 856, 540, 519, 16038, 269, 898, 849, 24864, 13311, 4551, 856, 519, 7450, 269, 9596, 811, 676, 9683, 8411, 341, 3570, 8234, 2593, 270, 935, 1288, 2987, 4146, 270, 1372, 2718, 2914, 603, 1606, 756, 334, 7146, 21553, 2889, 1324, 3917, 712, 3766, 583, 7146, 27492, 718, 268, 8234, 13045, 9827, 267, 1063, 1142, 851, 540, 519, 9667, 8778, 649, 723, 17901, 602, 948, 1832, 1426, 1141, 621, 1058, 581, 543, 267, 23679, 267, 3001, 538, 513, 18746, 6752, 269, 9737, 519, 24647, 543, 519, 7181, 649, 723, 519, 1965, 23569, 838, 327, 3307, 518, 267, 543, 1063, 519, 16038, 543, 1804, 16892, 649, 723, 519, 476, 850, 334, 576, 5632, 11896, 269, 5637, 616, 5497, 547, 2061, 1394, 2095, 689, 519, 3105, 1418, 563, 2691, 782, 27069, 2694, 960, 607, 2966, 267, 649, 723, 2635, 12536, 269, 2311, 1022, 1448, 538, 713, 10347, 1062, 267, 2705, 267, 649, 666, 723, 23659, 17313, 267, 1287, 4259, 519, 3942, 585, 13311, 4551, 547, 1491, 3180, 538, 519, 16038, 563, 5575, 267, 513, 1268, 949, 3668, 7850, 7181, 3679, 269, 2755, 713, 4805, 568, 2356, 711, 2614, 547, 2014, 16038, 19447, 267, 621, 6157, 666, 3565, 267, 2523, 950, 5916, 609, 824, 23659, 17313, 269, 1215, 1082, 540, 721 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4509, 5117, 1072, 543, 10342, 269, 4841, 5490, 883, 519, 16221, 2640, 6508, 689, 9265, 267, 1519, 26853, 267, 1216, 19288, 267, 3037, 12680, 267, 543, 11641, 1852, 269, 5015, 267, 789, 3605, 875, 4719, 4763, 5713, 607, 513, 5748, 585, 2564, 7760, 267, 6694, 10124, 267, 543, 4853, 7835, 269, 1677, 5000, 5683, 19642, 267, 5717, 2847, 6295, 1472, 2686, 2418, 267, 17271, 4502, 267, 543, 5837, 13800, 2509, 824, 2249, 616, 7471, 2429, 713, 9074, 780, 2862, 269, 21784, 338, 547, 26085, 692, 288, 269, 26335, 2530, 543, 26610, 454, 289, 269, 12833, 5297, 2249, 454, 290, 269, 744, 3164, 343, 680, 334, 2787, 454, 291, 269, 8693, 1689, 692, 1607, 3296, 12116, 2185, 3119, 6937, 3743, 585, 6117, 23229, 538, 9265, 5001, 269, 4635, 7317, 5751, 543, 2502, 2238, 267, 1053, 2697, 3123, 543, 4539, 2404, 609, 7226, 27327, 267, 9813, 2249, 32042, 267, 5667, 20980, 13345, 267, 543, 27643, 2916, 21463, 269, 7464, 8996, 1806, 9414, 519, 25872, 540, 891, 2188, 543, 5031, 519, 23473, 585, 14942, 5726, 3800, 780, 7656, 269, 11150, 585, 26085, 11094, 692, 288, 269, 13363, 539, 2127, 543, 14425, 454, 289, 269, 1401, 2198, 5726, 2409, 454, 290, 269, 12655, 1646, 2853, 454, 291, 269, 5398, 4656, 11044, 692, 2414, 2232, 519, 5571, 9265, 6433, 267, 1896, 5726, 2994, 723, 1044, 6069, 543, 8045, 11451, 269, 3371, 267, 1053, 8495, 1585, 4485, 6322, 693, 17420, 7925, 2249, 543, 9249, 269, 3414, 1895, 3785, 543, 10319, 3646, 267, 789, 5659, 519, 9342, 543, 7687, 540, 6870, 1858, 5121, 267, 5444, 8492, 267, 10357, 2389, 24397, 7341, 267, 543, 3872, 3292, 2966, 547, 6536, 7071, 585, 3047, 781, 7415, 6211, 6561, 780, 6637, 476, 274, 281, 19737, 4826, 8249, 692, 296, 269, 634, 10281, 6331, 545, 18888, 692, 288, 269, 22020, 540, 519, 3289, 6331, 545, 4783, 454, 289, 269, 5274, 7506, 593, 519, 1216, 4783, 692, 2304, 4367, 547, 519, 3289, 6331, 545, 4783, 5036, 519, 3942, 585, 1620, 1216, 2200, 543, 741, 2359, 269, 4841, 1451, 827, 1883, 3157, 971, 607, 13247, 267, 21381, 267, 1098, 17508, 267, 22467, 1674, 267, 543, 20359, 269, 3958, 267, 789, 1865, 875, 1480, 2238, 1860, 891, 9979, 267, 3056, 547, 12012, 2095, 20816, 267, 15780, 22930, 267, 543, 2799, 6360, 4220, 780, 2862, 269, 18610, 4248, 17392, 543, 2997, 22355, 692, 288, 269, 17183, 1216, 4703, 630, 331, 1389, 267, 8933, 267, 19126, 994, 289, 269, 16140, 4248, 6864, 28875, 454, 290, 269, 4826, 20317, 543, 10980, 692, 16966, 1043, 15195, 6589, 585, 1152, 513, 6824, 540, 2698, 1216, 1459, 593, 3047, 282, 3976, 267, 3608, 2359, 3587, 14063, 269, 3371, 267, 1053, 2263, 1114, 2010, 540, 2627, 543, 7449, 16577, 1216, 2200, 543, 6218, 2188, 7700, 547, 6237, 13103, 538, 8244, 269, 5047, 267, 789, 2708, 519, 6286, 540, 3395, 1216, 7569, 1813, 547, 2551, 7269, 267, 6683, 14556, 2305, 267, 543, 4853, 2208, 780, 7656, 269, 4826, 10866, 31700, 692, 288, 269, 8672, 2707, 5533, 454, 289, 269, 6348, 4812, 2707, 5533, 454, 290, 269, 24021, 17694, 692, 12850, 2298, 2152, 10460, 1713, 2591, 585, 1312, 1480, 1072, 543, 12748, 8134, 269, 901, 1770, 27180, 1455, 12376, 656, 2959, 267, 8151, 689, 4853, 2498, 1663, 757, 547, 6694, 20359, 338, 267, 543, 15109, 6932, 4145, 2404, 609, 31534, 267, 2890, 680, 10415, 267, 543, 20543, 269, 4841, 1374, 32598, 2994, 3358, 547, 1808, 12526, 7653, 267, 5009, 1966, 9010, 5759, 3844, 547, 2067, 4199, 2359, 11678, 780, 4353, 269, 21091, 4826, 8249, 5004, 692, 288, 269, 24637, 2359, 454, 289, 269, 18242, 20933, 3435, 454, 290, 269, 27347, 1117, 1935, 692, 18204, 7992, 2789, 18125, 540, 1216, 2200, 2359, 5849, 4264, 543, 12581, 1569, 547, 2973, 1216, 269, 769, 713, 3803, 10126, 267, 1053, 30075, 1702, 9715, 2429, 519, 3184, 547, 15974, 11455, 3435, 5466, 1585, 3344, 540, 1216, 2359, 267, 1519, 3747, 5786, 267, 3761, 11160, 7695, 267, 543, 24659, 2861, 4058, 269, 8865, 2090, 543, 1895, 5717, 7520, 519, 3498, 540, 7811, 2035, 547, 1483, 8996, 3871, 267, 8600, 1053, 585, 5483, 7589, 538, 4207, 1216, 4199, 9840, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16521, 2659, 4530, 454, 25823, 1315, 957, 3341, 2228, 10274, 543, 4388, 267, 476, 10082, 2852, 1557, 1806, 585, 476, 1556, 3506, 1341, 4274, 2079, 563, 31955, 23670, 3827, 2073, 5441, 10749, 454, 763, 2123, 3948, 1522, 1175, 581, 519, 23698, 851, 540, 707, 2852, 3498, 269, 4107, 569, 713, 568, 1317, 621, 814, 519, 2547, 5583, 543, 568, 519, 1034, 1930, 25804, 269, 2290, 1259, 547, 1174, 1018, 12621, 616, 3168, 585, 950, 789, 2307, 596, 547, 2328, 606, 1557, 568, 547, 2638, 856, 519, 3594, 540, 1053, 945, 2907, 3893, 538, 1765, 3712, 5076, 3594, 602, 2965, 5249, 269, 2991, 782, 267, 789, 1590, 581, 1851, 519, 1034, 3811, 540, 713, 20868, 5339, 9135, 563, 1103, 713, 2376, 267, 594, 3513, 979, 998, 2489, 4808, 585, 1018, 2306, 1390, 2852, 3594, 1390, 269, 594, 4312, 849, 16432, 606, 11999, 1592, 540, 476, 1911, 266, 4890, 3732, 2852, 3594, 689, 476, 1556, 1114, 3506, 269, 7053, 267, 594, 3513, 2736, 1524, 1079, 540, 891, 3370, 2852, 1557, 1806, 543, 2491, 1946, 543, 875, 789, 960, 269, 2060, 6402, 547, 476, 10082, 2407, 3594, 543, 1557, 32461, 2073, 713, 2376, 786, 581, 513, 1390, 4199, 585, 1565, 875, 547, 4739, 707, 1378, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20332, 8249, 5004, 257, 607, 851, 540, 834, 16300, 13493, 1315, 3163, 1299, 7186, 1315, 3047, 7070, 1315, 4937, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9502, 585, 2206, 569, 30499, 1592, 563, 5035, 5903, 11966, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 12785, 815, 7183, 692, 5035, 8827, 24998, 2187, 825, 1219, 1265, 303, 3789, 4311, 267, 1535, 267, 8638, 2187, 1038, 3138, 815, 476, 271, 454, 1038, 28624, 815, 7003, 10857, 1235, 994, 1038, 1247, 3138, 2999, 28624, 912, 2018, 4571, 815, 630, 5979, 266, 6062, 264, 2260, 273, 454, 2018, 952, 8638, 314, 13232, 4940, 1998, 2999, 1535, 22183, 281, 3138, 815, 4571, 266, 272, 454, 2018, 3116, 281, 28624, 815, 4571, 454, 1038, 2132, 3138, 692, 825, 1219, 19467, 298, 299, 1235, 4311, 267, 8638, 2187, 1038, 8173, 1038, 2433, 6943, 8638, 281, 5903, 314, 8266, 11966, 2639, 1038, 2433, 337, 6943, 281, 5903, 11966, 454, 1038, 8173, 1038, 3597, 815, 7183, 454, 1038, 1225, 815, 7183, 454, 1038, 8638, 815, 1496, 343, 585, 1535, 538, 8638, 952, 1535, 568, 711, 7183, 2639, 1038, 8638, 31699, 31107, 284, 14433, 1535, 281, 1535, 22183, 994, 1038, 1247, 7003, 10857, 1235, 264, 3436, 476, 271, 912, 2018, 952, 3597, 2652, 7183, 912, 3546, 3597, 815, 8638, 314, 271, 2639, 3546, 1225, 815, 3597, 454, 2018, 3116, 912, 3546, 1225, 12785, 815, 8638, 314, 271, 2639, 3546, 1225, 815, 1225, 12785, 454, 2018, 952, 8638, 314, 271, 4940, 10113, 2652, 7183, 912, 3546, 8638, 21014, 263, 271, 994, 2018, 3116, 912, 3546, 952, 7003, 10857, 1235, 264, 2652, 476, 272, 912, 7386, 8638, 314, 271, 316, 815, 8638, 314, 271, 4940, 10113, 454, 3546, 3116, 912, 7386, 1535, 815, 8638, 314, 271, 4940, 10113, 454, 7386, 8638, 21014, 263, 271, 994, 7386, 8638, 27044, 4311, 26098, 303, 3789, 3287, 267, 29812, 1070, 343, 994, 3546, 1780, 454, 1038, 2132, 3597, 692, 333, 272, 815, 5903, 11966, 263, 274, 994, 333, 273, 815, 5903, 11966, 263, 276, 994, 333, 272, 12785, 815, 562, 273, 454, 333, 274, 815, 5903, 11966, 263, 277, 994, 333, 273, 12785, 815, 562, 274, 454, 333, 275, 815, 5903, 11966, 263, 278, 994, 333, 274, 12785, 815, 562, 275, 692, 333, 276, 815, 5903, 11966, 263, 274, 994, 333, 277, 815, 5903, 11966, 263, 275, 994, 333, 276, 12785, 815, 562, 277, 454, 333, 278, 815, 5903, 11966, 263, 279, 994, 333, 277, 12785, 815, 562, 278, 692, 333, 279, 815, 5903, 11966, 263, 271, 994, 333, 280, 815, 5903, 11966, 263, 272, 994, 333, 279, 12785, 815, 562, 280, 454, 333, 1015, 815, 5903, 11966, 263, 273, 994, 333, 280, 12785, 815, 562, 1015, 692, 2745, 263, 11405, 14061, 1067, 613, 298, 299, 1235, 8443, 333, 272, 19885, 276, 19885, 279, 28413, 2745, 263, 11405, 14061, 1067, 613, 298, 299, 1235, 8443, 14085, 267, 14085, 316, 4297, 0, 5035, 8827, 24998, 2187, 825, 1219, 9255, 20075, 523, 1103, 4311, 267, 9795, 29679, 345, 267, 337, 2187, 1038, 952, 678, 13843, 521, 345, 912, 2018, 2132, 1496, 9795, 2639, 1038, 521, 815, 11713, 1038, 585, 795, 538, 2039, 263, 271, 29679, 345, 2187, 2018, 952, 1582, 269, 3674, 11749, 573, 263, 9795, 29679, 345, 267, 337, 25814, 2187, 3546, 5119, 314, 337, 6012, 329, 316, 815, 834, 304, 4840, 3546, 521, 815, 1582, 269, 20278, 20075, 523, 1103, 263, 9795, 29679, 345, 267, 337, 1341, 476, 272, 994, 3546, 952, 7003, 4433, 264, 3436, 476, 271, 912, 7386, 2132, 521, 454, 3546, 5119, 314, 337, 6012, 329, 316, 815, 834, 4799, 1038, 2132, 521, 7531, 825, 1219, 1772, 11749, 573, 4311, 267, 9795, 29679, 345, 31599, 19885, 2187, 1038, 585, 1775, 538, 2039, 4433, 345, 2187, 2018, 952, 5119, 5157, 6012, 333, 316, 2652, 834, 304, 13426, 3546, 2132, 8771, 692, 1038, 1775, 815, 544, 454, 1038, 795, 815, 562, 454, 1038, 1247, 1775, 13843, 476, 271, 543, 795, 13843, 476, 271, 912, 2018, 952, 5119, 5157, 6012, 329, 316, 2652, 834, 304, 13426, 3546, 2132, 8771, 454, 2018, 1775, 268, 284, 272, 454, 2018, 795, 268, 284, 272, 692, 1038, 1775, 815, 544, 454, 1038, 795, 815, 562, 454, 1038, 1247, 1775, 2999, 521, 345, 543, 795, 13843, 476, 271, 912, 2018, 952, 5119, 5157, 6012, 329, 316, 2652, 834, 304, 13426, 3546, 2132, 8771, 454, 2018, 1775, 23785, 272, 454, 2018, 795, 268, 284, 272, 692, 1038, 1775, 815, 544, 454, 1038, 795, 815, 562, 454, 1038, 1247, 1775, 13843, 476, 271, 543, 795, 2999, 521, 345, 912, 2018, 952, 5119, 5157, 6012, 329, 316, 2652, 834, 304, 13426, 3546, 2132, 8771, 454, 2018, 1775, 268, 284, 272, 454, 2018, 795, 23785, 272, 692, 1038, 1775, 815, 544, 454, 1038, 795, 815, 562, 454, 1038, 1247, 1775, 2999, 521, 345, 543, 795, 2999, 521, 345, 912, 2018, 952, 5119, 5157, 6012, 329, 316, 2652, 834, 304, 13426, 3546, 2132, 8771, 454, 2018, 1775, 23785, 272, 454, 2018, 795, 23785, 272, 454, 1038, 2132, 6936, 692, 825, 1219, 4194, 301, 20075, 839, 4311, 267, 562, 2187, 1038, 8173, 1038, 2433, 6943, 562, 281, 703, 454, 1038, 2433, 337, 6943, 281, 5903, 314, 8266, 314, 1598, 27663, 1038, 8173, 1038, 3070, 815, 11713, 1038, 952, 562, 2652, 476, 272, 912, 2018, 2132, 1496, 14277, 304, 19312, 2639, 1038, 585, 795, 538, 2039, 3799, 2187, 2018, 5119, 815, 1496, 14277, 1701, 585, 1775, 538, 2039, 3799, 13580, 585, 795, 538, 2039, 3799, 22708, 2018, 5119, 314, 271, 6012, 329, 316, 815, 834, 304, 4840, 2018, 952, 795, 1341, 476, 272, 2999, 562, 912, 3546, 521, 815, 1582, 269, 20278, 20075, 523, 1103, 263, 9795, 19885, 267, 272, 994, 3546, 952, 7003, 4433, 264, 3436, 476, 271, 912, 7386, 15073, 815, 1496, 5257, 269, 21860, 3287, 264, 585, 1535, 538, 5119, 2639, 7386, 3070, 6910, 263, 2993, 994, 2018, 5119, 314, 271, 6012, 329, 316, 815, 834, 4799, 1038, 2132, 3070, 692, 2745, 263, 11405, 14061, 338, 9876, 301, 20075, 839, 8987, 272, 4917, 2745, 263, 11405, 14061, 338, 9876, 301, 20075, 839, 263, 271, 4917, 2745, 263, 11405, 14061, 338, 9876, 301, 20075, 839, 263, 272, 4917, 2745, 263, 11405, 14061, 338, 9876, 301, 20075, 839, 263, 273, 4917, 2745, 263, 11405, 14061, 338, 9876, 301, 20075, 839, 263, 274, 4917, 2745, 263, 11405, 14061, 338, 9876, 301, 20075, 839, 263, 275, 4917, 0, 5814, 2979, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 19523, 7531, 291, 25353, 815, 1496, 454, 825, 1496, 271, 267, 271, 16689, 825, 1496, 273, 267, 271, 16689, 825, 1496, 273, 267, 272, 16689, 825, 1496, 274, 267, 271, 16689, 825, 1496, 275, 267, 272, 16689, 825, 1496, 276, 267, 271, 16689, 825, 1496, 277, 267, 271, 16689, 825, 1496, 279, 267, 271, 2639, 825, 476, 6540, 292, 4916, 815, 476, 272, 1948, 552, 1186, 9936, 3097, 300, 2562, 303, 4811, 815, 476, 273, 1948, 1295, 2798, 9936, 454, 2562, 3951, 318, 17269, 2562, 4811, 815, 20886, 273, 267, 1015, 25662, 276, 267, 279, 25662, 272, 267, 273, 27663, 298, 318, 301, 9331, 815, 476, 274, 454, 4596, 299, 3036, 318, 12710, 19851, 2207, 815, 22373, 344, 3641, 14824, 565, 633, 31116, 4596, 299, 3036, 318, 299, 8780, 815, 22373, 1042, 14824, 19990, 14824, 18872, 257, 6540, 692, 258, 9577, 547, 5173, 28070, 3845, 1063, 1079, 2798, 454, 3698, 28070, 5091, 2700, 3287, 272, 11971, 272, 21726, 273, 11971, 273, 2187, 825, 546, 815, 2979, 28460, 9230, 343, 273, 910, 1535, 272, 264, 2878, 476, 273, 1341, 630, 344, 273, 910, 586, 272, 264, 2878, 476, 273, 994, 825, 2132, 546, 692, 258, 9577, 547, 5173, 24607, 3845, 1063, 1079, 2798, 454, 3698, 24607, 5091, 2700, 3287, 272, 11971, 272, 21726, 273, 11971, 273, 2187, 825, 546, 815, 2612, 9230, 343, 273, 910, 1535, 272, 4297, 1341, 2612, 12169, 273, 910, 586, 272, 994, 825, 2132, 546, 7531, 3698, 11571, 16597, 7272, 267, 6358, 8217, 2187, 825, 23288, 825, 1239, 7272, 281, 17276, 367, 357, 25203, 362, 18021, 356, 418, 357, 503, 476, 28032, 489, 281, 1496, 343, 11971, 2639, 825, 1592, 281, 17276, 367, 357, 25203, 362, 18021, 356, 418, 357, 503, 7430, 490, 31271, 508, 7430, 503, 11210, 489, 11210, 363, 12530, 358, 11210, 373, 11210, 379, 28374, 12530, 359, 11210, 373, 12530, 486, 476, 28032, 489, 281, 32582, 610, 1496, 1496, 343, 272, 11971, 272, 25662, 343, 273, 11971, 273, 3910, 1862, 23378, 825, 476, 13213, 498, 11210, 488, 22390, 353, 7430, 360, 7430, 353, 7430, 482, 7430, 355, 7430, 363, 420, 371, 507, 421, 505, 351, 420, 357, 486, 28997, 501, 7430, 357, 2381, 14186, 28374, 23521, 350, 10524, 370, 7430, 489, 11210, 487, 4289, 7430, 360, 13161, 364, 7430, 509, 7430, 360, 12530, 485, 12530, 376, 11210, 379, 11210, 496, 420, 10191, 20693, 510, 7430, 501, 7430, 509, 454, 825, 3403, 8217, 7430, 357, 8147, 12571, 482, 11210, 373, 12530, 484, 12530, 481, 12530, 501, 7430, 356, 28374, 13213, 495, 417, 480, 491, 18021, 356, 418, 357, 503, 12530, 359, 11210, 373, 12530, 486, 2908, 8217, 11210, 496, 13213, 498, 7430, 503, 476, 28032, 489, 281, 1496, 1496, 273, 267, 1015, 25662, 276, 267, 279, 25662, 272, 267, 273, 316, 23378, 825, 15981, 692, 825, 1007, 8217, 815, 29129, 825, 585, 1239, 318, 336, 538, 667, 25353, 912, 1038, 952, 28070, 5091, 2700, 16597, 7272, 314, 271, 3910, 11907, 7272, 314, 272, 3910, 11907, 318, 336, 314, 271, 3910, 11907, 318, 336, 314, 272, 8079, 10922, 661, 4916, 912, 2018, 1007, 8217, 6910, 16597, 318, 336, 994, 8931, 825, 952, 7003, 28956, 8217, 264, 13843, 32745, 303, 4811, 912, 13872, 1038, 3403, 8217, 269, 2169, 754, 28956, 8217, 994, 1038, 11885, 17750, 8217, 815, 5286, 15126, 9272, 8217, 264, 1948, 11885, 7430, 360, 14035, 487, 418, 493, 505, 454, 1038, 11885, 17750, 8217, 815, 5286, 26509, 1664, 3799, 17056, 17750, 8217, 267, 7852, 284, 271, 264, 1948, 476, 19404, 491, 420, 353, 485, 11210, 496, 31176, 488, 30522, 353, 454, 1038, 3403, 8217, 815, 11885, 17750, 8217, 6745, 565, 626, 3890, 1948, 1592, 7430, 360, 16043, 375, 7430, 503, 454, 27030, 825, 2132, 3403, 8217, 267, 1007, 8217, 7531, 3698, 12440, 318, 14142, 263, 743, 13831, 267, 11907, 7272, 2187, 825, 23288, 825, 17276, 504, 360, 27936, 11210, 363, 12530, 358, 11210, 373, 11210, 379, 12530, 359, 11210, 373, 12530, 486, 28374, 18809, 7430, 360, 8147, 21796, 357, 25203, 362, 18021, 356, 418, 357, 503, 7430, 490, 12571, 360, 7430, 378, 11210, 490, 7430, 355, 7430, 482, 11210, 489, 7430, 489, 11210, 369, 12530, 376, 12530, 479, 7430, 503, 11210, 489, 421, 500, 351, 12255, 454, 825, 476, 12571, 360, 7430, 378, 11210, 490, 7430, 355, 7430, 482, 11210, 490, 7430, 364, 8147, 418, 504, 360, 27936, 11210, 363, 12530, 358, 11210, 373, 11210, 379, 7430, 357, 7430, 507, 28374, 8161, 11210, 496, 9463, 500, 11210, 488, 24731, 7430, 503, 454, 825, 12440, 28374, 25051, 351, 7430, 363, 23284, 31284, 28374, 11210, 486, 7430, 484, 7430, 360, 7430, 359, 7430, 352, 7430, 355, 7430, 482, 11210, 489, 454, 825, 1496, 3097, 1038, 1496, 1496, 273, 267, 274, 25662, 272, 267, 277, 316, 9948, 2676, 1038, 1496, 1496, 272, 16427, 274, 25662, 271, 267, 275, 316, 23378, 825, 23378, 825, 23288, 825, 585, 1775, 538, 2039, 12759, 263, 743, 13831, 15892, 1038, 952, 1239, 7272, 538, 12440, 5157, 14158, 2018, 2132, 12440, 5157, 3910, 1775, 22562, 825, 2132, 1496, 3910, 910, 272, 1948, 17276, 504, 360, 27936, 11210, 363, 12530, 358, 11210, 373, 11210, 379, 7430, 360, 12571, 360, 7430, 378, 11210, 490, 7430, 355, 7430, 482, 7430, 359, 7430, 495, 11210, 490, 7430, 364, 8161, 7430, 363, 268, 272, 7531, 258, 476, 11210, 363, 12530, 358, 11210, 373, 11210, 379, 12530, 359, 12530, 367, 11210, 364, 28374, 23746, 26109, 500, 25060, 500, 421, 500, 351, 12255, 454, 3698, 14650, 263, 21163, 267, 743, 13831, 267, 743, 13831, 318, 31371, 4011, 2187, 825, 23288, 825, 1900, 281, 24766, 2480, 534, 28374, 12916, 499, 11210, 373, 12530, 484, 12530, 481, 12530, 501, 25203, 362, 7430, 489, 454, 825, 12440, 28374, 25051, 351, 7430, 363, 23284, 31284, 28374, 11210, 486, 7430, 484, 7430, 360, 7430, 359, 7430, 352, 7430, 355, 7430, 482, 11210, 489, 454, 825, 1496, 3097, 1038, 1496, 1496, 273, 267, 274, 25662, 272, 267, 277, 316, 9948, 2676, 1038, 1496, 1496, 272, 16427, 274, 25662, 271, 267, 275, 316, 23378, 825, 23378, 825, 12440, 318, 31371, 4011, 281, 476, 12571, 482 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21401, 4528, 540, 519, 1230, 341, 1515, 476, 279, 3199, 267, 3476, 982, 519, 476, 279, 3199, 676, 476, 1015, 3952, 543, 5827, 540, 8876, 476, 9834, 910, 476, 13199, 15915, 269, 1703, 941, 476, 4391, 22008, 268, 31275, 338, 3812, 563, 763, 476, 31275, 729, 3812, 547, 2743, 606, 1977, 5794, 6050, 7662, 585, 513, 7077, 602, 1223, 8038, 689, 1715, 3840, 547, 11968, 13353, 1996, 519, 2842, 476, 3393, 3764, 18334, 982, 1018, 729, 2139, 693, 519, 942, 269, 1230, 341, 1515, 16798, 1977, 5794, 6050, 602, 621, 1223, 1628, 513, 7077, 2111, 547, 23593, 693, 476, 277, 3374, 18890, 630, 272, 267, 28873, 5998, 10774, 1040, 898, 729, 2966, 609, 811, 3532, 9817, 267, 609, 519, 1840, 540, 513, 5094, 10178, 1062, 538, 519, 2599, 779, 9688, 269, 3509, 2242, 941, 1500, 547, 4831, 519, 1098, 4577, 8749, 267, 971, 607, 513, 1007, 476, 4375, 4110, 25626, 13617, 543, 562, 864, 331, 548, 4023, 902, 267, 855, 519, 476, 31275, 1705, 711, 1685, 607, 16219, 563, 13563, 5794, 6050, 4389, 922, 3355, 1931, 267, 543, 2348, 2760, 6913, 741, 6999, 585, 513, 3432, 1512, 5032, 3562, 18396, 770, 8484, 267, 3459, 1427, 3931, 873, 676, 476, 3422, 278, 269, 1358, 941, 849, 13234, 676, 18230, 5794, 543, 32090, 5794, 6050, 630, 306, 3008, 1070, 543, 5555, 1336, 741, 13395, 538, 519, 22497, 2011, 6050, 2344, 269, 634, 22008, 268, 31275, 729, 5963, 519, 1439, 540, 606, 5736, 585, 1230, 341, 1515, 267, 609, 1152, 476, 4391, 3812, 269, 4937, 18868, 28815, 513, 2101, 2530, 543, 2451, 519, 15191, 2011, 4802, 619, 547, 922, 30347, 267, 5555, 4466, 1967, 543, 7443, 2679, 8034, 1088, 1137, 585, 5062, 10673, 24274, 19958, 267, 12077, 519, 9823, 268, 1015, 267, 918, 290, 268, 1015, 543, 11022, 268, 1556, 563, 20302, 268, 31275, 715, 279, 4366, 275, 295, 729, 519, 11359, 476, 31275, 3710, 585, 1230, 341, 1515, 270, 14197, 18868, 585, 8184, 23150, 4238, 269, 1230, 341, 1515, 729, 606, 1977, 8484, 5663, 2754, 267, 4646, 538, 476, 3707, 274, 609, 519, 26399, 540, 3117, 13521, 730, 589, 7878, 543, 966, 738, 2465, 589, 7878, 269, 898, 729, 2663, 12349, 676, 4937, 18868, 538, 476, 4198, 274, 267, 543, 2968, 519, 1230, 341, 1515, 10406, 269, 1358, 616, 1655, 1634, 585, 741, 4108, 8484, 267, 31244, 267, 543, 14361, 563, 5475, 8184, 1449, 4238, 609, 4937, 18868, 267, 621, 729, 1201, 7875, 1639, 543, 4421, 547, 589, 4916, 288, 269, 17224, 565, 6403, 928, 553, 3131, 10224, 553, 590, 6993, 1421, 849, 1634, 607, 589, 4916, 288, 610, 3131, 12320, 1014, 5794, 6050, 630, 1492, 2296, 8144, 1070, 13234, 607, 519, 3084, 29617, 543, 9206, 15298, 540, 18475, 689, 476, 4198, 277, 547, 476, 3192, 272, 269, 589, 4916, 288, 729, 2212, 32483, 1229, 693, 808, 5282, 932, 5451, 557, 345, 4139, 23076, 538, 7799, 320, 267, 18475, 267, 543, 13234, 16516, 18213, 19426, 547, 6239, 543, 3162, 3013, 267, 543, 11968, 13353, 543, 24543, 563, 4338, 6347, 9411, 519, 15191, 2085, 950, 621, 4607, 922, 1101, 1230, 341, 1515, 476, 31275, 538, 476, 3422, 274, 267, 28267, 7304, 268, 278, 2764, 269, 1635, 476, 3422, 275, 789, 9250, 519, 24543, 6441, 9874, 4149, 21468, 6210, 543, 24543, 6441, 9874, 7304, 1470, 632, 13191, 10098, 11507, 267, 1210, 519, 22008, 268, 31275, 269, 1358, 682, 1078, 513, 2034, 543, 3791, 22008, 268, 31275, 543, 4797, 741, 7269, 269, 10251, 267, 519, 29617, 4810, 2883, 13542, 607, 741, 22440, 2799, 543, 3454, 12611, 31482, 941, 26550, 1221, 269, 634, 2229, 267, 3366, 676, 20844, 20653, 553, 1723, 1325, 12534, 5964, 267, 14365, 1819, 547, 3715, 17224, 6016, 340, 267, 513, 1533, 24804, 29617, 543, 15189, 547, 32548, 856, 589, 4916, 288, 269, 634, 29617, 30403, 4238, 538, 2904, 476, 3192, 272, 267, 609, 835, 9823, 268, 279, 268, 2004, 543, 922, 1614, 22008, 268, 31275, 338, 267, 1519, 28267, 7304, 268, 278, 2764, 563, 5475, 589, 4916, 288, 25649, 267, 519, 7077, 729, 2095, 333, 1394, 547, 14151, 538, 476, 3192, 274, 269, 898, 729, 556, 2958, 626, 1229, 607, 715, 31275, 3722, 543, 7283, 6740, 585, 1896, 1296, 563, 1103, 476, 2735, 273, 267, 938, 22008, 268, 31275, 729, 1031, 585, 2694, 585, 8331, 779, 476, 31275, 338, 269, 2290, 540, 873, 267, 513, 3810, 9168, 1230, 341, 1515, 476, 31275, 267, 729, 11280, 607, 519, 8092, 532, 7010, 3194, 589, 7878, 630, 11862, 6938, 264, 543, 1031, 1063, 476, 1960, 274, 543, 476, 1960, 276, 547, 1449, 2230, 29060, 13941, 10591, 32234, 543, 29584, 1949, 269, 634, 4255, 6038, 5462, 519, 2196, 3118, 2627, 693, 17394, 6611, 4741, 267, 799, 4847, 513, 2362, 3444, 13388, 13941, 3970, 585, 519, 10739, 619, 269, 634, 4255, 3576, 1747, 693, 8331, 779, 16959, 6577, 22947, 3194, 4741, 267, 513, 968, 290, 10938, 540, 28742, 892, 585, 11626, 8184, 4238, 543, 7098, 517, 27658, 8184, 1382, 267, 4092, 2282, 29885, 5794, 10414, 12476, 538, 4993, 779, 7720, 329, 1511, 19164, 563, 10214, 1310, 1373, 6740, 585, 1082, 1296, 267, 1287, 7745, 909, 543, 1031, 585, 2694, 267, 713, 476, 31275, 4797, 547, 4196, 269, 2755, 693, 631, 295, 309, 267, 1063, 476, 1960, 271, 547, 476, 1960, 280, 267, 621, 729, 1031, 585, 4550, 268, 614, 2928, 1143, 2866, 676, 519, 674, 4041, 12839, 630, 293, 3985, 4521, 2037, 7593, 9751, 4741, 1070, 4481, 585, 7231, 609, 1164, 329, 17977, 8484, 593, 519, 2666, 269, 21624, 547, 4063, 568, 602, 835, 540, 589, 4916, 288, 779, 1614, 22008, 268, 31275, 338, 729, 554, 6359, 17977, 269, 2201, 5130, 476, 1556, 267, 476, 3422, 280, 267, 554, 6359, 871, 619, 3576, 1852, 540, 519, 7077, 1310, 621, 2451, 24861, 4975, 679, 709, 974, 547, 24543, 267, 543, 24363, 621, 547, 18010, 269, 901, 729, 1175, 835, 540, 19421, 540, 23162, 554, 6359, 871, 902, 1282, 602, 942, 1974, 563, 300, 9369, 9209, 8227, 25272, 8065, 6785, 5612, 950, 646, 1101, 4718, 621, 602, 646, 2877, 519, 22008, 268, 31275, 693, 631, 295, 309, 585, 519, 1773, 2033, 30475, 18239, 269, 968, 763, 1230, 341, 1515, 476, 31275, 568, 16600, 4686, 269, 8307, 476, 4391, 941, 3812, 865, 649, 941, 18822, 547, 1265, 713, 835, 538, 938, 18147, 2223, 3081, 8065, 269, 968, 12024, 513, 2603, 540, 938, 14742, 267, 621, 814, 971, 606, 4277, 1650, 269, 1284, 7948, 1406, 1780, 621, 909, 3034, 763, 2319, 1305, 547, 960, 267, 26500, 513, 5862, 9403, 543, 513, 3178, 540, 4778, 602, 723, 711, 1044, 2938, 593, 1082, 1773, 2033, 30475, 865, 2484, 563, 763, 22008, 268, 31275, 1773, 2033, 30475, 616, 2139, 1631, 693, 4541, 4711, 2593, 269, 1358, 616, 22921, 538, 513, 3126, 540, 476, 274, 267, 4335, 543, 786, 581, 6035, 538, 513, 3099, 540, 4778, 543, 18707, 269, 634, 3355, 4778, 786, 581, 19045, 267, 19164, 595, 8667, 548, 6519, 267, 19164, 9791, 267, 19164, 27413, 630, 320, 32154, 3575, 540, 18707, 543, 18282, 1070, 543, 19164, 20348, 7822, 563, 763, 4778, 538, 713, 3126, 616, 930, 540, 519, 1034, 3078, 649, 723, 2479, 2938, 269, 5221, 540, 519, 678, 10846, 540, 519, 20840, 5964, 267, 789, 616, 2386, 547, 1831, 513, 1726, 25979, 8484, 538, 707, 1773, 2033, 30475, 4015, 269, 1358, 616, 849, 2688, 14184, 543, 666, 581, 23678, 1386, 609, 513, 2012, 267, 2232, 267, 543, 6049, 1297, 547, 946, 607, 513, 561, 10212, 720, 610, 1883, 11090, 269, 1656, 1810, 1405, 7340, 267, 789, 666, 581, 10531, 609, 811, 982, 602, 547, 1118, 513, 2027, 10516, 563, 5649, 2417, 827, 930, 824, 1230, 341, 1515, 8484, 649, 723, 5249, 609, 269, 0, 21547, 19172, 21643, 568, 513, 7936, 540, 9297, 602, 2090, 875, 606, 4346, 1568, 543, 875, 1114, 2188, 1860, 621, 269, 1677, 2012, 513, 1906, 281, 10637, 267, 3084, 4747, 267, 12654, 267, 13864, 267, 1244, 11306, 267, 8635, 267, 7694, 267, 543, 865, 593, 269, 5221, 2890, 31754, 568, 519, 1034, 5676, 1441, 1353, 540, 3741, 602, 2047, 1860, 1169, 1480, 779, 3232, 1272, 267, 519, 6505, 652, 2247, 779, 1702, 2501, 538, 13561, 269, 1924, 267, 952, 596, 616, 3168, 585, 5839, 19172, 21643, 7084, 948, 267, 596, 723, 2097, 547, 519, 1318, 1747, 563, 272, 264, 24162, 2817, 20677, 454, 1607, 3296, 12116, 519, 5763, 540, 519, 3003, 2197, 269, 901, 6240, 568, 4749, 6594, 693, 519, 1439, 540, 1142, 16642, 1032, 269, 1306, 513, 1267, 267, 1614, 1114, 3800, 616, 3812, 281, 24162, 23582, 8605, 267, 24162, 2817, 8605, 267, 543, 4880, 2817, 20677, 563, 273, 264, 4139, 25642, 454, 763, 4123, 1063, 11615, 543, 519, 3666, 6656, 540, 4123, 602, 13408, 519, 2883, 5359, 971, 607, 11780, 25547, 643, 1963, 267, 11780, 9796, 1963, 267, 30825, 543, 13809, 32276, 267, 543, 865, 593, 267, 616, 1134, 5423, 269, 5047, 267, 609, 938, 2754, 779, 12550, 31754, 7084, 948, 267, 596, 666, 9787, 519, 1523, 3533, 563, 274, 264, 24162, 23582, 8605, 454, 1607, 1858, 540, 519, 12550, 324, 1595, 344, 2090, 519, 2533, 3177, 676, 7189, 267, 8030, 267, 5750, 1229, 2272, 1218, 267, 543, 1866, 267, 607, 1134, 607, 519, 5370, 3812, 538, 519, 4346, 269, 1879, 782, 540, 519, 2090, 538, 519, 2361, 616, 5916, 267, 519, 1267, 568, 1634, 607, 2804, 3977, 269, 901, 568, 7229, 538, 2475, 9489, 547, 1118, 621, 4443, 585, 24192, 547, 5635, 1239, 609, 824, 24192, 538, 2221, 779, 1158, 269, 11088, 267, 513, 1455, 9304, 568, 1031, 543, 556, 6088, 563, 275, 264, 5606, 3175, 776, 12503, 454, 763, 1942, 540, 5370, 543, 2533, 14380, 543, 8813, 1813, 547, 513, 3099, 540, 2188, 269, 634, 2188, 12018, 971, 14380, 543, 8813, 616, 11567, 1247, 4974, 10637, 269, 901, 1382, 666, 4217, 519, 2229, 538, 9013, 3902, 15088, 563, 4407, 4974, 5839, 19172, 21643, 267, 621, 568, 2565, 547, 2628, 2673, 3007, 547, 519, 2188, 7396, 1657, 269, 21023, 687, 540, 519, 4093, 540, 891, 2188, 543, 3741, 1860, 2043, 267, 10909, 267, 3549, 267, 543, 519, 2229, 563, 16524, 3856, 2804, 2208, 543, 519, 2110, 3856, 1870, 4783, 616, 519, 1079, 1292, 2127, 602, 7936, 856, 538, 12550, 31754, 563, 5278, 821, 547, 798, 1250, 5839, 19172, 21643, 12143, 454, 9824, 4192, 25849, 906, 6435, 3091, 5730, 543, 16950, 1652, 12550, 31754, 7084, 948, 543, 12550, 31754, 6780, 6351, 269, 17241, 295, 779, 12550, 31754, 21493, 616, 782, 594, 11803, 13477, 5640, 538, 519, 2361, 540, 12550, 31754, 267, 865, 789, 616, 1134, 9280, 547, 6023, 707, 22692, 543, 2022, 12392, 12550, 31754, 10467, 269, 5839, 19172, 21643, 568, 513, 1360, 1950, 1641, 547, 1353, 267, 543, 596, 786, 991, 3586, 5583, 547, 2347, 707, 1576, 269, 3776, 552, 935, 4966, 21751, 538, 12550, 31754, 723, 3144, 606, 522, 987, 547, 4217, 596, 609, 707, 12550, 31754, 10467, 543, 2312, 707, 2035, 563, 5978, 12550, 31754, 21493, 798, 711, 3494, 538, 3246, 596, 609, 513, 835, 6066, 3070, 855, 2864, 538, 519, 6138, 540, 21757, 782, 540, 707, 22027, 2394, 596, 723, 6591, 6190, 6015, 538, 519, 1641, 269, 5015, 267, 782, 540, 938, 12550, 31754, 4966, 723, 513, 1912, 6185, 269, 538, 12550, 31754, 610, 616, 4648, 2324, 538, 12550, 11296, 12602, 547, 4217, 596, 609, 707, 10467, 609, 1390, 6111, 543, 6015, 563, 1692, 666, 649, 4217, 596, 609, 707, 12550, 31754, 6780, 888, 268, 3776, 4966, 666, 6023, 1804, 543, 14849, 12550, 31754, 3785, 3248, 268, 1284, 723, 3573, 1702, 540, 6061, 12550, 31754, 3785, 282, 543, 454, 268, 3776, 3028, 786, 4688, 596, 942, 267, 3850, 596, 547, 1445, 593, 824, 1271, 5396, 563, 268, 24344, 8569, 2409, 543, 2347, 22637, 454, 268, 1234, 2017, 2590, 6075, 28774, 454, 3963, 9701, 1411, 2422, 721, 585, 5839, 19172, 21643, 12143, 6435, 888, 2005, 779, 2653, 547, 1831, 581, 325, 3291, 1194, 676, 519, 1585, 2208, 3631, 543, 6336, 8289, 540, 519, 1523, 540, 11466, 896, 1114, 2344, 2175, 269, 5213, 1406, 581, 27209, 1317, 9297, 607, 513, 1641, 8761, 3294, 7930, 269, 634, 811, 596, 2007, 267, 519, 811, 596, 3605, 269, 1809, 15069, 267, 596, 2154, 6351, 269, 1656, 649, 666, 4217, 596, 609, 707, 12550, 31754, 10467, 563, 5522, 698, 14705, 568, 711, 7109, 730, 912, 2171, 946, 519, 1034, 4359, 4528, 540, 12414, 527, 514, 547, 2327, 602, 519, 9297, 7084, 4267, 3177, 676, 938, 552, 935, 4966, 616, 2189, 543, 602, 1100, 835, 3116, 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 ]
[ 2414, 2652, 476, 272, 281, 1948, 709, 30592, 547, 533, 20269, 454, 14030, 4449, 13376, 6345, 300, 8221, 14714, 9850, 2652, 834, 303, 20269, 4840, 14030, 4449, 13376, 1582, 4877, 20269, 29228, 269, 16651, 8266, 6910, 263, 16651, 300, 8221, 994, 14030, 4449, 3546, 8640, 3014, 2414, 2652, 476, 273, 281, 1948, 709, 30592, 547, 3109, 329, 871, 454, 14030, 4449, 13376, 6345, 300, 8221, 14714, 9850, 815, 834, 14937, 329, 871, 4840, 14030, 4449, 13376, 1582, 269, 18872, 329, 871, 29228, 269, 16651, 8266, 6910, 263, 16651, 300, 8221, 994, 14030, 4449, 3546, 8640, 3014, 2414, 2652, 476, 274, 281, 1948, 709, 30592, 547, 979, 3165, 454, 14030, 4449, 13376, 6345, 300, 8221, 14714, 9850, 815, 834, 7883, 12551, 4840, 14030, 4449, 13376, 1582, 269, 8127, 29228, 269, 16651, 8266, 6910, 263, 16651, 300, 8221, 994, 14030, 4449, 3546, 3116, 281, 1948, 2998, 3165, 547, 21696, 5975, 1154, 454, 14030, 4449, 13376, 6345, 300, 8221, 14714, 9850, 815, 834, 295, 16017, 5975, 1154, 4840, 14030, 4449, 13376, 1582, 269, 1817, 572, 289, 23293, 269, 16651, 8266, 6910, 263, 16651, 300, 8221, 994, 4449, 13376, 8640, 3014, 4263, 2652, 834, 295, 16017, 5975, 1154, 13426, 14030, 3546, 585, 5716, 538, 1582, 269, 1817, 572, 289, 23293, 269, 16651, 8266, 912, 14030, 13376, 952, 5716, 269, 16651, 10831, 2652, 6345, 273, 332, 913, 912, 14030, 4449, 3546, 6345, 300, 8221, 815, 5716, 454, 14030, 4449, 3546, 1582, 269, 1817, 572, 289, 23293, 269, 16651, 8266, 31927, 263, 2452, 619, 994, 14030, 4449, 3546, 952, 3014, 2414, 2652, 476, 272, 281, 1948, 1817, 572, 25919, 547, 533, 20269, 454, 14030, 4449, 13376, 6345, 300, 8221, 14714, 9850, 2652, 834, 303, 20269, 4840, 14030, 4449, 13376, 1582, 4877, 20269, 29228, 269, 16651, 8266, 6910, 263, 16651, 300, 8221, 994, 14030, 4449, 3546, 8640, 3014, 2414, 2652, 476, 273, 281, 1948, 1817, 572, 25919, 547, 3109, 329, 871, 454, 14030, 4449, 13376, 6345, 300, 8221, 14714, 9850, 815, 834, 14937, 329, 871, 4840, 14030, 4449, 13376, 1582, 269, 18872, 329, 871, 29228, 269, 16651, 8266, 6910, 263, 16651, 300, 8221, 994, 14030, 4449, 3546, 8640, 3014, 2414, 2652, 476, 274, 281, 1948, 1817, 572, 25919, 547, 22748, 30592, 454, 14030, 4449, 13376, 6345, 300, 8221, 14714, 9850, 815, 834, 305, 537, 30592, 4840, 14030, 4449, 13376, 1582, 269, 709, 30592, 29228, 269, 16651, 8266, 6910, 263, 16651, 300, 8221, 994, 14030, 4449, 3546, 3116, 281, 1948, 1817, 572, 25919, 547, 979, 3165, 454, 14030, 4449, 13376, 6345, 300, 8221, 14714, 9850, 815, 834, 7883, 12551, 4840, 14030, 4449, 13376, 1582, 269, 8127, 29228, 269, 16651, 8266, 6910, 263, 16651, 300, 8221, 994, 20930, 22610, 1004, 538, 5561, 912, 4848, 15235, 14851, 1004, 269, 16651, 10831, 2652, 6345, 273, 332, 913, 912, 20930, 4848, 453, 15161, 14714, 9850, 2652, 6345, 300, 8221, 14714, 9850, 454, 20930, 22610, 1004, 538, 6205, 4580, 912, 4848, 15235, 14851, 1004, 269, 16651, 10831, 2652, 6345, 273, 15879, 576, 912, 20930, 4848, 453, 15161, 14714, 9850, 2652, 6345, 300, 8221, 14714, 9850, 28768, 4848, 692, 22592, 9337, 22517, 1841, 4311, 2187, 453, 22610, 1004, 538, 1582, 4877, 20269, 29228, 269, 16651, 8266, 912, 4848, 453, 15161, 269, 15200, 14737, 639, 815, 1004, 269, 25270, 910, 1004, 269, 11034, 532, 25911, 766, 454, 4848, 22610, 8169, 338, 538, 1582, 6983, 2396, 619, 912, 15235, 14851, 1004, 269, 16651, 10831, 2652, 8169, 338, 269, 16651, 10831, 912, 20930, 453, 322, 755, 338, 269, 25270, 815, 1004, 269, 25270, 454, 20930, 453, 322, 755, 338, 269, 15200, 14737, 639, 815, 1004, 269, 15200, 14737, 639, 454, 4848, 22610, 3401, 538, 1582, 269, 548, 14575, 4580, 912, 15235, 14851, 1004, 269, 16651, 10831, 2652, 3401, 269, 16651, 10831, 912, 20930, 453, 548, 19470, 269, 25270, 815, 1004, 269, 25270, 454, 20930, 453, 548, 19470, 269, 15200, 14737, 639, 815, 1004, 269, 15200, 14737, 639, 454, 453, 22610, 1004, 538, 1582, 269, 18872, 329, 871, 29228, 269, 16651, 8266, 912, 4848, 453, 15161, 269, 15200, 14737, 639, 815, 1004, 269, 25270, 910, 1004, 14714, 908, 25911, 766, 454, 4848, 22610, 8169, 338, 538, 1582, 6983, 2396, 619, 912, 4449, 3546, 952, 1004, 269, 16651, 10831, 2652, 8169, 338, 269, 16651, 10831, 912, 4449, 13376, 8169, 338, 269, 25270, 815, 1004, 269, 25270, 454, 4449, 13376, 8169, 338, 269, 15200, 14737, 639, 815, 1004, 269, 15200, 14737, 639, 454, 13376, 585, 3401, 538, 1582, 269, 548, 14575, 4580, 912, 4449, 3546, 952, 1004, 269, 16651, 10831, 2652, 3401, 269, 16651, 10831, 912, 4449, 13376, 3401, 269, 25270, 815, 1004, 269, 25270, 454, 4449, 13376, 3401, 269, 15200, 14737, 639, 815, 1004, 269, 15200, 14737, 639, 454, 3546, 585, 1004, 538, 1582, 269, 8127, 29228, 269, 16651, 8266, 912, 13376, 1004, 269, 15200, 14737, 639, 815, 1004, 269, 25270, 910, 1004, 14714, 908, 25911, 766, 454, 13376, 585, 8169, 338, 538, 1582, 6983, 2396, 619, 912, 4449, 3546, 952, 1004, 269, 16651, 10831, 2652, 8169, 338, 269, 16651, 10831, 912, 4449, 13376, 8169, 338, 269, 25270, 815, 1004, 269, 25270, 454, 4449, 13376, 8169, 338, 269, 15200, 14737, 639, 815, 1004, 269, 15200, 14737, 639, 454, 13376, 585, 3401, 538, 1582, 269, 548, 14575, 4580, 912, 4449, 3546, 952, 1004, 269, 16651, 10831, 2652, 3401, 269, 16651, 10831, 912, 4449, 13376, 3401, 269, 25270, 815, 1004, 269, 25270, 454, 4449, 13376, 3401, 269, 15200, 14737, 639, 815, 1004, 269, 15200, 14737, 639, 454, 3546, 585, 1004, 538, 1582, 269, 709, 30592, 29228, 269, 16651, 8266, 912, 13376, 1004, 269, 15200, 14737, 639, 815, 1004, 269, 25270, 910, 1004, 14714, 908, 25911, 766, 454, 13376, 585, 8169, 338, 538, 1582, 6983, 2396, 619, 912, 4449, 3546, 952, 1004, 269, 16651, 10831, 2652, 8169, 338, 269, 16651, 10831, 912, 4449, 13376, 8169, 338, 269, 25270, 815, 1004, 269, 25270, 454, 4449, 13376, 8169, 338, 269, 15200, 14737, 639, 815, 1004, 269, 15200, 14737, 639, 454, 13376, 585, 3401, 538, 1582, 269, 548, 14575, 4580, 912, 4449, 3546, 952, 1004, 269, 16651, 10831, 2652, 3401, 269, 16651, 10831, 912, 4449, 13376, 3401, 269, 25270, 815, 1004, 269, 25270, 454, 4449, 13376, 3401, 269, 15200, 14737, 639, 815, 1004, 269, 15200, 14737, 639, 454, 3546, 585, 1004, 538, 1582, 269, 1817, 572, 289, 23293, 269, 16651, 8266, 912, 13376, 1004, 269, 15200, 14737, 639, 815, 1004, 269, 25270, 910, 1004, 14714, 908, 25911, 766, 454, 13376, 585, 8169, 338, 538, 1582, 6983, 2396, 619, 912, 4449, 3546, 952, 1004, 269, 16651, 10831, 2652, 8169, 338, 269, 16651, 10831, 912, 4449, 13376, 8169, 338, 269, 25270, 815, 1004, 269, 25270, 454, 4449, 13376, 8169, 338, 269, 15200, 14737, 639, 815, 1004, 269, 15200, 14737, 639, 454, 13376, 585, 3401, 538, 1582, 269, 548, 14575, 4580, 912, 4449, 3546, 952, 1004, 269, 16651, 10831, 2652, 3401, 269, 16651, 10831, 912, 4449, 13376, 3401, 269, 25270, 815, 1004, 269, 25270, 454, 4449, 13376, 3401, 269, 15200, 14737, 639, 815, 1004, 269, 15200, 14737, 639, 7531, 22592, 2196, 290, 553, 3626, 4311, 2187, 453, 22610, 1775, 538, 2039, 4311, 269, 1037, 338, 2187, 4848, 14851, 1582, 4877, 20269, 2652, 476, 272, 912, 15235, 19677, 4877, 20269, 29228, 269, 2452, 305, 895, 4590, 4848, 14851, 1582, 269, 18872, 329, 871, 2652, 476, 272, 912, 15235, 19677, 269, 18872, 329, 871, 29228, 269, 2452, 305, 895, 4590, 4848, 14851, 1582, 269, 8127, 2652, 476, 272, 912, 15235, 19677, 269, 2998, 293, 880, 29228, 269, 2452, 305, 895, 4590, 4848, 14851, 1582, 269, 709, 30592, 2652, 476, 272, 912, 15235, 19677, 269, 709, 30592, 29228, 269, 2452, 305, 895, 4590, 4848, 14851, 1582, 269, 4243, 525, 2652, 476, 272, 912, 15235, 19677, 269, 1817, 572, 289, 23293, 269, 2452, 305, 895, 4590, 4848, 19677, 269, 26303, 22517, 1841, 4590, 4848, 19677, 269, 16651, 6944, 1503, 10797, 22592, 1820, 1805, 1846, 4311, 2187, 453, 19677, 269, 16118, 815, 1582, 4877, 20269, 29228, 6983, 553, 3626, 310, 25751, 1341, 1582, 269, 18872, 329, 871, 29228, 6983, 553, 3626, 310, 25751, 1341, 1582, 269, 8127, 29228, 6983, 553, 3626, 310, 25751, 1341, 1582, 269, 709, 30592, 29228, 6983, 553, 3626, 310, 25751, 1341, 1582, 269, 1817, 572, 289, 23293, 6983, 553, 3626, 310, 25751, 454, 453, 453, 258, 335, 20269, 454, 453, 13537, 834, 303, 20269, 853, 1846, 281, 4840, 453, 13537, 834, 672, 16629, 3626, 654, 25751, 689, 623, 20269, 281, 1269, 2580, 1582, 4877, 20269, 29228, 6983, 553, 3626, 310, 25751, 454, 453, 453, 335, 20269, 8110, 1417, 815, 630, 1345, 4877, 20269, 29228, 6983, 553, 3626, 310, 25751, 270, 1345, 269, 16118, 264, 2608, 476, 1911, 1948, 704, 1417, 7443, 689, 533, 20269, 454, 453, 13537, 834, 11434, 20587, 24333, 533, 20269, 8110, 1417, 267, 834, 260, 4840, 453, 453, 320, 2071, 12901, 324, 815, 630, 1345, 4877, 20269, 29228, 6983, 553, 3626, 310, 25751, 1315, 1345, 4877, 20269, 29228, 269, 571, 651, 264, 1315, 1582, 269, 1037, 338, 1948, 322, 553, 3626, 3094, 11789, 815, 24970, 2608, 986, 651, 18092, 24970, 815, 25877, 3094, 11789, 270, 571, 651, 267, 7941, 676, 21448, 547, 1265, 3328, 454, 453, 13537, 834, 672, 19105, 4165, 324, 281, 1269, 2580, 3328, 12901, 324, 267, 3097, 453, 13537, 834, 672, 681, 820, 20587, 24333, 630, 1345, 4877, 20269, 29228, 269, 571, 651, 2608, 476, 1911, 1070, 257, 260, 4840, 453, 453, 258, 18872, 329, 871, 454, 453, 13537, 834, 14937, 329, 871, 853, 1846, 281, 4840, 453, 13537, 834, 672, 16629, 3626, 654, 25751, 689, 4563, 329, 871, 281, 1269, 2580, 1582, 269, 18872, 329, 871, 29228, 6983, 553, 3626, 310, 25751, 454, 453, 453, 321, 329, 8110, 1417, 815, 630, 1345, 269, 18872, 329, 871, 29228, 6983, 553, 3626, 310, 25751, 270, 1345, 269, 16118, 264, 2608, 476, 1911, 1948, 704, 1417, 7443, 689, 3109, 329, 871, 454, 453, 13537, 834, 11434, 20587, 24333, 536, 329, 8110, 1417, 267, 834, 260, 4840, 453, 453, 258, 20412, 622, 3328, 914, 888, 453, 13537, 834, 672, 20958, 518, 10434, 5776, 24333, 1582, 269, 18872, 329, 871, 29228, 19709, 29993, 18184, 3097, 453, 453, 258, 20412, 622, 2053, 31066, 11861, 338, 1759, 593, 2182, 1796, 1871, 888, 453, 453, 258, 7883, 12551, 454, 453, 13537, 834, 7883, 12551, 853, 1846, 281, 4840, 453, 13537, 834, 672, 16629, 3626, 3094, 11789, 689, 3619, 12551, 281, 1269, 2580, 1582, 269, 8127, 29228, 6983, 553, 3626, 310, 25751, 454, 453, 453, 8127, 8110, 1417, 815, 630, 1345, 269, 8127, 29228, 6983, 553, 3626, 310, 25751, 270, 1345, 269, 16118, 264, 2608, 476, 1911, 1948, 704, 1417, 7443, 689, 3619, 12551, 454, 453, 13537, 834, 11434, 20587, 24333, 3165, 8110, 1417, 267, 834, 260, 4840, 453, 13537, 834, 672, 7305, 29358, 281, 1269, 2580, 1582, 269, 8127, 29228, 6745, 762, 14737, 454, 453, 13537, 834, 672, 7305, 966, 580, 24333, 1582, 269, 8127, 29228, 18192, 580, 267, 834, 260, 4840, 4848, 453, 1012, 4033, 12551, 853, 1846, 888, 453, 453, 258, 709, 30592, 454, 453, 13537, 834, 305, 537, 30592, 853, 1846, 281, 4840, 453, 13537, 834, 672, 16629, 3626, 654, 25751, 689, 22748, 30592, 281, 1269, 2580, 1582, 269, 709, 30592, 29228, 6983, 553, 3626, 310, 25751, 454, 453, 453, 709, 30592, 8110, 1417, 815, 630, 1345, 269, 709, 30592, 29228, 6983, 553, 3626, 310, 25751, 270, 1345, 269, 16118, 264, 2608, 476, 1911, 1948, 704, 1417, 7443, 689, 22748, 30592, 454, 453, 13537, 834, 11434, 20587, 24333, 13193, 30592, 8110, 1417, 267, 834, 260, 4840, 453, 13537, 834, 672, 7305, 29358, 281, 1269, 2580, 1582, 269, 709, 30592, 29228, 6745, 762, 14737, 454, 4848, 453, 1012, 6345, 3094, 2557, 888, 453, 453, 258, 1817, 572, 25919, 454, 453, 13537, 834, 295, 16017, 5975, 1154, 853, 1846, 281, 4840, 453, 13537, 834, 672, 16629, 3626, 654, 25751, 689, 21696, 5975, 1154, 281, 1269, 2580, 1582, 269, 1817, 572, 289, 23293, 6983, 553, 3626, 310, 25751, 454, 453, 453, 1817, 572, 8110, 1417, 815, 630, 1345, 269, 1817, 572, 289, 23293, 6983, 553, 3626, 310, 25751, 270, 1345, 269, 16118, 264, 2608, 476, 1911, 1948, 704, 1417, 7443, 689, 7504, 25919, 454, 453, 13537, 834, 11434, 20587, 24333, 7504, 8110, 1417, 267, 834, 260, 4840, 453, 13537, 834, 672, 6452, 5596, 540, 13095, 1091, 24333, 1582, 269, 1817, 572, 289, 23293, 269, 3147, 5596, 31948, 267, 834, 260, 4840, 4848, 453, 1012, 6345, 3094, 2557, 689, 12918, 692, 22592, 1820, 32156, 4311, 267, 4994, 2187, 3546 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4208, 3948, 888, 7312, 654, 14176, 3948, 1058, 581, 2111, 547, 20206, 3634, 782, 540, 519, 7907, 649, 1175, 5018, 11652, 621, 1058, 581, 2111, 547, 798, 865, 538, 513, 2582, 4845, 269, 898, 1058, 849, 581, 968, 1197, 13582, 2223, 2495, 602, 621, 1058, 581, 10858, 547, 3388, 596, 798, 267, 1312, 13948, 543, 24015, 1765, 23719, 9668, 563, 1432, 568, 3948, 3483, 888, 288, 3483, 3948, 568, 513, 3616, 541, 894, 4845, 799, 26564, 519, 1808, 1888, 543, 3853, 540, 513, 3561, 269, 898, 568, 3335, 3769, 538, 519, 4367, 547, 2285, 519, 5467, 606, 4977, 267, 6405, 1620, 1018, 519, 3561, 786, 3382, 543, 1018, 646, 24172, 666, 2744, 689, 2542, 621, 563, 3674, 513, 3948, 519, 1482, 607, 513, 2256, 18967, 888, 1103, 341, 7860, 666, 849, 581, 1572, 513, 6455, 2256, 18967, 607, 621, 568, 1031, 585, 10655, 2724, 269, 12833, 7860, 616, 2016, 547, 5561, 945, 798, 711, 5612, 2628, 585, 519, 2533, 610, 519, 2472, 269, 589, 3948, 666, 581, 1572, 513, 1592, 540, 782, 1045, 7860, 799, 849, 2982, 519, 10002, 4660, 3666, 593, 519, 1045, 7860, 563, 3674, 513, 3948, 540, 960, 606, 1045, 4069, 888, 2304, 1045, 4069, 2488, 811, 2143, 1344, 827, 513, 1808, 9042, 267, 971, 607, 519, 6221, 6609, 267, 6221, 3902, 267, 11288, 10997, 267, 543, 6455, 9204, 267, 1247, 513, 3948, 1152, 2488, 513, 6264, 2698, 1813, 585, 1142, 1045, 4069, 563, 3674, 513, 3915, 513, 3948, 888, 288, 3915, 3085, 1405, 2161, 4376, 827, 2724, 602, 1522, 723, 2907, 1044, 6976, 1107, 621, 3274, 8638, 519, 960, 610, 9276, 596, 4312, 2944, 543, 875, 1454, 789, 2698, 909, 547, 269, 2201, 519, 824, 1688, 267, 513, 3948, 538, 5695, 2692, 25187, 5384, 543, 645, 3739, 568, 513, 968, 8063, 618, 892, 540, 519, 4567, 540, 519, 7817, 781, 2272, 693, 513, 1880, 1448, 538, 942, 563, 1692, 798, 536, 3739, 6898, 960, 888, 763, 10997, 585, 606, 2272, 616, 10630, 593, 513, 536, 3739, 3948, 799, 568, 2366, 547, 596, 1310, 707, 536, 3739, 4783, 7475, 269, 1879, 621, 2501, 547, 5491, 6486, 267, 513, 536, 3739, 3948, 3622, 6645, 596, 281, 2659, 3105, 3666, 269, 7102, 11033, 543, 16306, 1500, 1282, 519, 536, 3739, 4783, 563, 1692, 798, 594, 2328, 513, 536, 3739, 3948, 888, 2414, 2328, 513, 536, 3739, 3948, 267, 1101, 2697, 707, 1870, 676, 922, 2012, 267, 2232, 543, 3346, 1344, 269, 1473, 6510, 519, 6075, 267, 1045, 4069, 1297, 543, 519, 4266, 267, 6609, 543, 2179, 540, 1142, 6221, 269, 5213, 1405, 7340, 547, 1039, 8569, 2474, 543, 2175, 693, 519, 5377, 540, 519, 1045, 4069, 563, 1432, 781, 513, 3556, 3948, 888, 288, 5491, 3556, 3948, 568, 513, 5758, 540, 875, 596, 4312, 1031, 707, 5491, 3556, 585, 513, 536, 3739, 1974, 269, 15894, 3556, 6898, 616, 4904, 609, 2474, 267, 2338, 543, 21159, 602, 1404, 513, 1909, 538, 519, 9819, 540, 707, 2698, 5491, 3556, 3666, 563, 1432, 568, 513, 3948, 540, 2272, 3454, 888, 763, 3948, 540, 2272, 568, 2966, 547, 1832, 596, 909, 3562, 15082, 609, 707, 3454, 2272, 269, 898, 2488, 513, 5758, 540, 11033, 543, 8852, 1500, 1282, 519, 3948, 1974, 543, 2982, 1022, 5666, 596, 991, 547, 2628, 610, 32479, 338, 1813, 547, 596, 563, 1692, 1281, 513, 32577, 3948, 960, 888, 289, 3008, 6763, 585, 6355, 11314, 15048, 269, 1403, 596, 2811, 10805, 585, 717, 4306, 630, 14187, 338, 543, 7896, 12525, 1070, 596, 3513, 991, 547, 561, 17690, 513, 32577, 3948, 593, 513, 10865, 267, 10116, 569, 267, 610, 5993, 4493, 269, 32577, 6898, 1450, 596, 547, 1577, 519, 2229, 917, 875, 1454, 2724, 596, 4312, 6394, 543, 875, 1454, 596, 4312, 6976, 856, 563, 1692, 798, 594, 1205, 513, 2706, 3948, 888, 2252, 596, 723, 606, 2228, 2272, 267, 596, 666, 4647, 707, 3948, 269, 3807, 2845, 883, 707, 2272, 543, 1246, 519, 12987, 547, 707, 10618, 28600, 269, 1403, 596, 1810, 1405, 723, 606, 2228, 2272, 2943, 267, 596, 666, 11578, 585, 835, 538, 1175, 513, 1906, 3764, 269, 4495, 10805, 585, 606, 2228, 2272, 267, 596, 666, 2070, 707, 3948, 593, 938, 813, 563, 1692, 666, 594, 1205, 1250, 1101, 4871, 3948, 888, 1692, 798, 594, 7824, 513, 4871, 3948, 888, 19868, 538, 547, 2228, 12948, 269, 8564, 1412, 13750, 906, 262, 543, 519, 4143, 2272, 689, 519, 2451, 11804, 10624, 269, 8564, 513, 3948, 1297, 267, 1287, 4945, 1412, 19530, 262, 693, 519, 1283, 269, 9406, 26487, 707, 3948, 543, 2824, 1412, 24591, 607, 7300, 23823, 1692, 798, 594, 1205, 513, 7300, 4871, 3948, 888, 1692, 666, 594, 1205, 1250, 4871, 3948, 1510, 2121, 12948, 888, 3963, 798, 3549, 991, 4871, 6898, 888, 1103, 2013, 513, 11134, 814, 1019, 659, 331, 2216, 602, 6306, 689, 14057, 646, 849, 11392, 930, 6666, 538, 1010, 2272, 676, 519, 2754, 693, 602, 1448, 607, 513, 6169, 547, 707, 6666, 5057, 513, 17849, 15679, 949, 2307, 585, 707, 2272, 4871, 3948, 269, 769, 602, 2013, 596, 723, 547, 1683, 865, 602, 789, 1205, 513, 6169, 1354, 27410, 513, 14057, 585, 596, 563, 3674, 621, 2922, 547, 6494, 513, 4871, 3948, 888, 21446, 8271, 267, 1175, 581, 2386, 2272, 2338, 543, 6213, 1344, 616, 711, 593, 519, 6054, 596, 616, 11488, 269, 4107, 4871, 6898, 891, 2395, 267, 616, 5423, 538, 513, 6073, 602, 2306, 873, 2922, 547, 4757, 269, 11038, 6898, 10355, 723, 4376, 602, 1131, 28855, 1125, 707, 2123, 3354, 610, 1870, 563, 1432, 798, 594, 3109, 856, 593, 513, 4871, 3948, 888, 290, 1478, 519, 1344, 602, 3884, 1405, 22317, 547, 519, 1268, 31392, 513, 5299, 540, 519, 3948, 269, 2422, 513, 14610, 547, 1832, 3515, 683, 831, 609, 519, 3109, 15262, 267, 8720, 3688, 971, 607, 707, 4317, 8232, 1297, 267, 13061, 8852, 610, 1256, 707, 2232, 540, 2594, 563, 1432, 568, 513, 3948, 9806, 2272, 1031, 585, 888, 763, 15048, 14205, 902, 2272, 2636, 596, 547, 7118, 1719, 609, 513, 1390, 2557, 267, 7132, 596, 666, 723, 2407, 1569, 547, 519, 2272, 693, 1022, 942, 585, 11198, 1023, 610, 12074, 267, 2901, 538, 1268, 610, 676, 11083, 300, 269, 1411, 786, 1205, 281, 22588, 569, 6898, 8259, 5907, 7482, 4483, 2534, 267, 1287, 10865, 269, 5131, 6732, 543, 16353, 30914, 563, 3674, 513, 3948, 711, 606, 2272, 888, 288, 3666, 6656, 568, 513, 851, 540, 519, 3803, 6589, 269, 1717, 267, 519, 3666, 6656, 568, 513, 3948, 543, 711, 606, 2272, 269, 898, 814, 1100, 7963, 610, 5491, 5011, 543, 607, 971, 519, 1913, 1412, 2414, 262, 543, 1412, 3528, 262, 616, 711, 1031, 1354, 519, 4408, 540, 519, 6589, 3254, 972, 514, 269, 898, 3947, 519, 21356, 1152, 585, 519, 4266, 593, 799, 621, 568, 5423, 563, 1692, 798, 596, 5173, 2272, 3948, 593, 9806, 2272, 888, 11754, 1022, 12074, 602, 596, 543, 707, 4871, 1500, 543, 1287, 10208, 782, 519, 4871, 781, 11198, 1023, 543, 16523, 269, 634, 1007, 3666, 593, 707, 2272, 3948, 1058, 6474, 707, 9819, 563, 1432, 666, 581, 1031, 607, 513, 6169, 540, 4747, 888, 4692, 594, 1205, 513, 5299, 540, 1250, 3454, 2132, 689, 595, 6938, 888, 2252, 596, 723, 4503, 610, 3765, 31419, 707, 711, 1182, 540, 4879, 610, 3454, 1793, 2354, 689, 1991, 1296, 267, 596, 666, 3489, 12215, 689, 519, 595, 6938, 3896, 269, 7348, 513, 5299, 676, 1210, 3733, 10055, 610, 519, 595, 6938, 16353, 2561, 563, 1432, 666, 594, 946, 607, 6169, 540, 1582, 7694, 888, 291, 665, 3701, 602, 1223, 581, 1031, 547, 6961, 1582, 15041, 7877, 1331, 267, 855, 616, 711, 3908, 547, 281, 1870, 27121, 267, 3454, 7024, 267, 1870, 2256, 328, 14186, 610, 1045, 7860, 267, 9896, 3413, 573, 822, 1080, 2357, 4328, 1582, 15041, 7877, 267, 11731, 610, 11650, 267, 610, 4871, 6898, 689, 513, 1870, 2272, 602, 1397, 1582, 15041, 7877, 563, 3963, 798, 594, 28297, 595, 6938, 2724, 888, 2252, 707, 2628, 2651, 17429, 2388, 610, 1128, 531, 906, 941, 1932, 1164, 267, 596, 3513, 4309, 513, 32479, 269, 1403, 789, 941, 1932, 1970, 267, 596, 3513, 723, 513, 3666, 19962, 269, 1411, 1590, 2628, 513, 3666, 19962, 676, 4989, 476, 1789, 547, 2057, 20507, 543, 1719, 563, 3674, 1250, 595, 6938, 2272, 519, 1482, 607, 3733, 6796, 4516, 10055, 888, 2252, 596, 616, 10805, 585, 595, 6938, 781, 3733, 10055, 596, 666, 18172, 1569, 11536, 17584, 781, 3733, 6796, 4516, 10055, 1510, 2348, 547, 21189, 610, 556, 20777, 622, 707, 3961, 269, 634, 3095, 786, 1491, 596, 2047, 547, 707, 3733, 6796, 4516, 10055, 1369, 513, 2582, 5150, 8400, 267, 1510, 2348, 547, 1129, 538, 610, 11578, 609, 9049, 7563, 563, 1692, 798, 594, 2628, 1394, 1250, 595, 8538, 9204, 888, 1692, 1279, 798, 594, 723, 547, 2628, 1250, 9204, 4516, 888, 31714, 1590, 3758, 741, 4747, 3454, 7024, 676, 4989, 476, 1789, 540, 519, 1032, 1739, 519, 1032, 585, 799, 789, 616, 25937, 543, 713, 814, 711, 4957, 713, 16642, 1032, 269, 1280, 1346, 602, 723, 4607, 5046, 1644, 2640, 267, 519, 8225, 6554, 814, 1500, 513, 2487, 23318, 593, 9314, 28057, 585, 23231, 618, 540, 519, 2640, 563, 9989, 10911, 1611, 596, 28297, 2724, 888, 2005, 4679, 707, 3915, 269, 589, 5491, 568, 519, 6587, 269, 898, 781, 606, 2179, 602, 6971, 707, 3915, 543, 949, 2408, 593, 707, 5491, 3556, 3948, 609, 519, 5022, 834, 10135, 257, 1985, 547, 621, 267, 799, 568, 519, 28008, 585, 834, 920, 9016, 1701, 1411, 666, 4309, 513, 5491, 593, 707, 5491, 3556, 3948, 585, 1896, 4128, 269, 0, 288, 8725, 24651, 814, 2141, 929, 3660, 3294, 593, 3246, 1274, 543, 6217, 5796, 543, 1489, 585, 519, 2898, 1920, 563, 5978, 7216, 661, 1513, 2336, 2005, 568, 18931, 602, 513, 4816, 538, 519, 27042, 814, 513, 4628, 2919, 17391, 2631, 1472, 519, 476, 278, 628, 3923, 540, 6379, 269, 3245, 713, 2038, 3942, 519, 4816, 779, 1646, 538, 519, 27042, 568, 4028, 543, 4352, 519, 17391, 3403, 538, 519, 27042, 568, 544, 4428, 1194, 1813, 547, 519, 993, 333, 8438, 5714, 267, 519, 4992, 616, 4358, 547, 948, 1106, 519, 4816, 779, 4656, 540, 519, 17391, 4276, 1063, 2933, 543, 741, 3993, 269, 1306, 609, 782, 2127, 540, 4816, 1646, 621, 568, 2352, 711, 547, 581, 25713, 13351, 676, 519, 6988, 540, 519, 17391, 1062, 269, 3245, 519, 8849, 4276, 2059, 519, 4816, 779, 1394, 4358, 547, 1106, 676, 3018, 3670, 540, 6379, 1107, 606, 1898, 2497, 585, 519, 1646, 540, 513, 4816, 779, 4064, 543, 10772, 547, 519, 476, 275, 628, 3923, 540, 6379, 267, 1141, 513, 4816, 779, 5007, 10772, 616, 4628, 4646, 269, 634, 476, 276, 628, 3923, 568, 950, 513, 4816, 6238, 547, 581, 6213, 547, 3280, 269, 12344, 621, 568, 1934, 1141, 649, 1058, 1376, 547, 21028, 519, 10347, 2943, 1950, 2470, 540, 519, 17391, 1062, 267, 543, 3413, 1800, 621, 513, 1377, 540, 2463, 602, 1058, 1246, 721, 998, 938, 2729, 563, 14399, 779, 24651, 7896, 454, 4263, 8330, 517, 24651, 649, 2709, 513, 2039, 540, 5753, 779, 24651, 7896, 547, 948, 1683, 3237, 267, 3885, 543, 27369, 779, 11727, 6217, 1344, 547, 948, 873, 547, 1832, 513, 3950, 540, 741, 1126, 779, 6217, 2702, 269, 769, 1931, 547, 2327, 1655, 2164, 649, 2932, 782, 540, 938, 5753, 779, 24651, 7896, 689, 938, 2549, 619, 5069, 2259, 267, 4469, 842, 4446, 333, 7040, 269, 4469, 842, 4446, 333, 7040, 568, 513, 6899, 267, 1875, 12641, 25766, 267, 1126, 7874, 1604, 269, 3776, 4810, 24384, 6048, 267, 14529, 3121, 13648, 3096, 513, 3126, 540, 10526, 547, 9290, 1453, 540, 782, 6502, 689, 476, 1015, 3923, 540, 2085, 20733, 563, 25508, 3121, 2369, 2478, 519, 2956, 540, 3246, 3237, 609, 519, 1702, 543, 1344, 789, 991, 547, 1174, 741, 1126, 779, 6217, 563, 2026, 513, 2259, 267, 649, 9244, 3494, 538, 605, 268, 5562, 2962, 609, 2543, 547, 1453, 779, 6217, 2042, 269, 634, 1034, 1455, 6217, 6161, 609, 1453, 568, 513, 10151, 25801, 3390, 4122, 1634, 607, 3794, 826, 2423, 630, 302, 339, 4345, 9012, 1040, 18227, 513, 1126, 6217, 1134, 568, 1271, 585, 2038, 2634, 1646, 269, 1403, 6217, 267, 693, 713, 2565, 3942, 540, 1646, 568, 15176, 267, 1256, 585, 2110, 5712, 267, 621, 666, 1291, 547, 2104, 6947, 543, 1565, 2591, 693, 1153, 543, 2009, 4633, 543, 3007, 7965, 1279, 1310, 519, 6217, 568, 8120, 547, 3339, 2157, 269, 634, 1434, 3377, 568, 1498, 609, 6297, 2359 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4504, 18166, 12229, 13281, 269, 13571, 15147, 269, 23111, 637, 269, 21942, 4065, 267, 1107, 8950, 3301, 1107, 3817, 7200, 1047, 23111, 637, 10965, 2089, 564, 2070, 1107, 28038, 12229, 13281, 269, 7200, 1047, 23111, 637, 267, 18763, 269, 9736, 1923, 11754, 2581, 268, 24380, 2917, 4985, 269, 24951, 8629, 15129, 543, 17317, 1116, 12229, 269, 28038, 12229, 13281, 676, 7200, 1047, 23111, 637, 269, 634, 4998, 3301, 1646, 1604, 2636, 585, 1434, 4170, 267, 5078, 16131, 267, 543, 7850, 563, 347, 13775, 630, 8310, 2567, 1475, 272, 4989, 476, 1001, 271, 2008, 347, 14457, 11711, 12025, 10573, 277, 269, 3953, 25253, 2008, 347, 324, 8530, 11711, 12025, 10573, 1691, 269, 1321, 25253, 2008, 347, 25820, 10573, 10403, 265, 1496, 265, 10403, 3204, 338, 527, 1674, 22490, 316, 2008, 2414, 1294, 1018, 707, 2828, 2219, 540, 713, 1433, 267, 5225, 1129, 909, 269, 21763, 547, 3367, 9494, 16634, 29456, 25103, 4787, 760, 547, 1543, 4787, 760, 547, 2451, 12445, 4787, 760, 547, 1318, 12445, 7457, 10569, 948, 563, 4504, 18166, 12229, 13281, 676, 7200, 1047, 23111, 637, 454, 307, 871, 1782, 519, 13281, 631, 10270, 269, 28038, 12229, 13281, 676, 7200, 1047, 23111, 637, 563, 294, 549, 990, 344, 330, 944, 15951, 621, 17329, 621, 9947, 476, 736, 267, 5871, 2474, 543, 2453, 2920, 783, 2164, 3498, 13128, 7154, 22601, 17395, 950, 8022, 10465, 10465, 1871, 2079, 595, 30327, 1883, 7167, 1464, 4223, 12053, 7844, 11024, 720, 669, 2801, 613, 669, 2801, 613, 3848, 1347, 12122, 2359, 18181, 2837, 1711, 6538, 3375, 3349, 10747, 1449, 13972, 4216, 18224, 552, 320, 1168, 539, 552, 2465, 324, 2327, 9373, 1883, 700, 758, 1047, 7466, 30424, 1362, 1383, 4397, 2164, 2697, 20959, 3403, 769, 20777, 1239, 6221, 1242, 17429, 2388, 1883, 3399, 1883, 1883, 560, 15809, 1592, 540, 8637, 1292, 10624, 15015, 7154, 5119, 10624, 1883, 2409, 1297, 540, 1449, 1843, 15129, 7291, 21767, 14089, 17120, 14089, 568, 8022, 14089, 568, 7329, 548, 1991, 10862, 1788, 6392, 2594, 9695, 4255, 4170, 1981, 5119, 1305, 540, 1449, 28038, 3301, 4152, 21514, 1047, 23984, 637, 18953, 31930, 3301, 4152, 9138, 17547, 5384, 1883, 4558, 2012, 18323, 538, 2039, 4530, 2013, 9517, 28038, 3301, 4152, 21514, 1047, 23984, 637, 7121, 1449, 12319, 1449, 11056, 1449, 7291, 512, 6856, 10250, 1464, 5119, 1770, 4152, 32636, 4152, 27024, 2361, 4570, 1654, 2465, 563, 22416, 822, 11986, 15951, 10962, 3301, 4152, 21514, 1047, 23984, 637, 621, 729, 21453, 9947, 476, 5400, 267, 1773, 758, 6359, 7795, 3773, 621, 2904, 476, 6021, 267, 1403, 596, 2461, 5461, 538, 2870, 513, 1942, 22766, 10189, 585, 707, 1053, 267, 3346, 707, 21942, 1065, 269, 15316, 12319, 12043, 543, 31930, 585, 10916, 1449, 2013, 1344, 616, 4843, 269, 1677, 2307, 824, 3988, 2055, 827, 28038, 12229, 13281, 921, 848, 1129, 909, 269, 8210, 5681, 527, 6825, 621, 607, 547, 22345, 4924, 476, 6860, 267, 901, 4320, 3091, 513, 1900, 8386, 9912, 1935, 585, 3478, 1593, 322, 333, 580, 609, 4052, 3301, 4152, 4247, 563, 307, 600, 637, 267, 28038, 12229, 13281, 1923, 21942, 454, 6781, 29538, 1415, 340, 15951, 621, 621, 729, 5863, 7325, 476, 1691, 267, 29366, 1338, 18000, 16009, 637, 621, 3057, 476, 6860, 267, 20855, 11986, 6825, 621, 607, 547, 22345, 5463, 476, 6734, 267, 631, 904, 12711, 15719, 7825, 611, 3773, 621, 4924, 476, 6860, 267, 14731, 6825, 621, 607, 547, 22345, 9484, 476, 4962, 267, 28038, 12229, 28038, 3301, 4152, 21514, 1047, 23984, 637, 676, 7200, 1047, 23111, 637, 634, 4998, 3301, 1646, 1604, 2636, 585, 1434, 4170, 267, 5078, 16131, 267, 543, 7850, 5234, 2866, 563, 11990, 918, 1258, 28086, 6825, 621, 607, 547, 22345, 9947, 476, 1626, 267, 28038, 12229, 13281, 7200, 1047, 23111, 637, 5410, 2581, 8862, 525, 2917, 268, 23675, 1107, 3817, 476, 271, 17352, 901, 4320, 3091, 513, 1900, 8386, 9912, 1935, 585, 3478, 3323, 609, 4052, 3301, 4152, 4247, 563, 291, 2466, 787, 15951, 621, 2731, 17329, 621, 4924, 476, 6860, 267, 14465, 340, 3773, 621, 3057, 476, 1015, 267, 13281, 1357, 3156, 2308, 1082, 540, 519, 2409, 602, 22132, 689, 4152, 7817, 1606, 13996, 1949, 269, 715, 601, 3773, 621, 9947, 476, 2537, 267, 1403, 1411, 2461, 606, 3447, 1807, 16952, 10962, 3301, 4152, 21514, 1047, 23984, 637, 9623, 563, 2791, 723, 10962, 3301, 4152, 21514, 1047, 23984, 637, 9896, 856, 543, 786, 581, 2838, 547, 1129, 1394, 538, 1058, 751, 20535, 991, 547, 4647, 811, 2200, 269, 2398, 1662, 656, 16422, 10008, 3773, 621, 4239, 476, 6021, 267, 2060, 2553, 4843, 538, 519, 1433, 267, 512, 22246, 666, 2697, 7508, 1344, 543, 1685, 3730, 4152, 267, 1256, 950, 2324, 609, 28119, 4170, 563, 4913, 267, 1843, 15129, 1949, 2154, 1114, 2994, 585, 1770, 1377, 4152, 269, 3807, 513, 4090, 1247, 649, 1129, 596, 538, 547, 707, 6153, 1348, 338, 2272, 563, 4504, 18166, 12229, 13281, 454, 4504, 18166, 12229, 13281, 2337, 519, 538, 23024, 27624, 512, 6856, 676, 3246, 4052, 2093, 547, 7914, 3613, 691, 519, 4152, 4674, 269, 6271, 2101, 21677, 568, 7231, 609, 18106, 610, 7508, 4170, 269, 8734, 752, 4258, 3773, 621, 9484, 476, 1789, 267, 6129, 559, 6825, 621, 607, 547, 22345, 9484, 476, 1321, 267, 27804, 3240, 320, 15951, 621, 621, 729, 5863, 2904, 476, 1321, 267, 5395, 613, 344, 15951, 10962, 3301, 4152, 21514, 1047, 23984, 637, 17329, 621, 4239, 476, 6734, 267, 6423, 476, 273, 2055, 827, 28038, 12229, 13281, 2507, 563, 307, 600, 5052, 2278, 6257, 875, 547, 11457, 519, 1449, 12319, 538, 1931, 547, 16783, 609, 930, 540, 519, 811, 1455, 3301, 4702, 4441, 269, 4107, 1449, 1374, 14565, 1711, 513, 5318, 1297, 540, 1449, 2665, 1107, 1932, 1082, 547, 14892, 896, 1034, 6381, 269, 28038, 12229, 13281, 476, 274, 563, 4910, 8676, 966, 344, 553, 6825, 621, 607, 547, 22345, 5463, 476, 1321, 267, 13924, 753, 16852, 590, 996, 328, 15951, 621, 621, 729, 5863, 2904, 476, 5881, 267, 7200, 1047, 23111, 637, 568, 513, 2475, 2861, 22639, 609, 476, 1626, 1296, 4152, 1995, 267, 1519, 960, 585, 519, 2475, 8257, 540, 20237, 543, 4937, 7763, 832, 269, 0, 307, 11698, 267, 4989, 476, 5400, 267, 476, 1220, 279, 454, 299, 274, 31511, 910, 519, 476, 5002, 278, 8535, 8065, 10880, 454, 1607, 3018, 649, 616, 3168, 693, 4123, 18787, 1063, 519, 476, 6642, 271, 338, 543, 519, 1439, 540, 519, 3689, 2622, 2782, 563, 3080, 10880, 799, 1500, 519, 24657, 538, 11977, 1014, 4789, 729, 519, 8535, 8065, 10880, 540, 476, 5002, 278, 269, 769, 930, 2081, 713, 729, 711, 513, 6093, 10880, 910, 2575, 10689, 7376, 525, 616, 711, 6093, 4600, 269, 8616, 621, 8604, 602, 1312, 12820, 543, 5520, 1031, 12485, 6093, 540, 4853, 4655, 563, 763, 10880, 1705, 711, 2014, 2804, 17522, 693, 519, 1377, 540, 602, 540, 16716, 676, 546, 1442, 619, 610, 3154, 4600, 267, 855, 519, 8560, 540, 519, 2575, 10689, 5921, 602, 621, 729, 3090, 1227, 1360, 1271, 269, 898, 814, 1044, 1767, 602, 519, 1249, 602, 519, 10880, 729, 4465, 676, 519, 7376, 525, 543, 12372, 7479, 12184, 1082, 824, 4600, 540, 519, 28252, 540, 11836, 4123, 18787, 563, 2791, 666, 1265, 1934, 267, 538, 3943, 267, 513, 1382, 2376, 594, 5206, 5063, 593, 519, 476, 5002, 278, 8535, 8065, 10880, 563, 2791, 786, 1265, 1934, 0, 763, 2146, 540, 28357, 5498, 2131, 619, 538, 5840, 568, 16922, 5097, 540, 2797, 15076, 689, 20528, 543, 661, 761, 16699, 945, 8452, 3842, 519, 31291, 328, 9390, 269, 11374, 741, 1163, 13955, 689, 5527, 267, 5840, 2968, 519, 3803, 10278, 585, 891, 15076, 267, 1317, 782, 519, 4478, 2477, 723, 2797, 13218, 547, 519, 1360, 20816, 789, 941, 7904, 4370, 269, 7324, 519, 28357, 5498, 2131, 619, 267, 972, 616, 3875, 9601, 540, 10553, 543, 25711, 13122, 4371, 585, 26030, 676, 645, 9254, 1231, 538, 519, 31291, 328, 9390, 630, 292, 5118, 264, 945, 9676, 873, 1282, 741, 9101, 269, 5840, 814, 1831, 513, 1412, 321, 2714, 331, 2940, 1188, 262, 585, 891, 1004, 945, 3112, 979, 585, 2072, 610, 23651, 269, 2859, 982, 476, 1015, 267, 1822, 28357, 5498, 2131, 619, 723, 4294, 585, 21345, 4567, 267, 855, 1906, 723, 4607, 1022, 3210, 563, 6097, 547, 519, 18303, 15510, 543, 26790, 16958, 267, 972, 616, 930, 476, 1789, 267, 1822, 28357, 5498, 2131, 619, 538, 5840, 2221, 269, 2986, 891, 267, 476, 10463, 260, 616, 661, 761, 516, 534, 282, 476, 866, 260, 616, 3345, 4149, 644, 534, 3150, 282, 476, 278, 260, 616, 689, 824, 3979, 2477, 282, 543, 476, 272, 260, 568, 689, 11992, 269, 27051, 476, 1691, 267, 1822, 540, 519, 15076, 2661, 538, 20052, 5025, 341, 643, 269, 1703, 616, 827, 476, 275, 267, 4335, 12256, 543, 1507, 1453, 25374, 585, 538, 519, 21345, 2146, 781, 865, 10777, 834, 321, 629, 903, 9231, 257, 1554, 3249, 7740, 267, 2196, 5097, 676, 4639, 5025, 325, 878, 534, 2021, 563, 6097, 547, 519, 6167, 781, 476, 4198, 272, 25083, 324, 13482, 267, 1808, 7355, 616, 9788, 856, 30431, 908, 945, 949, 610, 949, 711, 581, 11292, 21345, 4567, 269, 4495, 606, 1367, 814, 18084, 513, 8473, 5275, 28357, 4534, 514, 713, 2013, 267, 538, 5840, 734, 602, 2197, 3587, 1634, 607, 513, 1412, 516, 576, 1516, 2197, 9538, 3962, 8391, 2197, 1590, 2015, 519, 13668, 585, 28357, 543, 3313, 945, 568, 11292, 21345, 4567, 1759, 593, 519, 7355, 1305, 8521, 538, 519, 13482, 269, 1323, 28357, 268, 3343, 518, 945, 1281, 711, 2743, 519, 7355, 267, 786, 581, 5612, 8120, 547, 1010, 610, 1200, 2197, 540, 5169, 563, 24375, 940, 538, 476, 1220, 280, 267, 519, 18303, 2229, 4957, 519, 4567, 540, 1412, 553, 23796, 5498, 2131, 619, 262, 547, 602, 540, 1412, 8882, 2830, 21116, 9538, 634, 3557, 1100, 3476, 15109, 13668, 585, 28357, 11643, 676, 519, 15076, 945, 616, 267, 4061, 267, 711, 13886, 547, 1022, 2924, 3541, 1516, 689, 519, 25083, 324, 13482, 269, 23897, 1343, 540, 2367, 538, 519, 2146, 616, 2366, 547, 519, 4591, 582, 30969, 4099, 538, 519, 9390, 267, 610, 547, 519, 19300, 16336, 574, 7890, 7404, 563, 763, 4102, 5951, 540, 15076, 8452, 538, 5840, 1063, 476, 1220, 277, 543, 476, 1220, 278, 267, 1739, 741, 1163, 13955, 689, 5527, 269, 769, 476, 1001, 273, 267, 5840, 6192, 519, 3774, 2059, 922, 8828, 8473, 543, 1100, 3476, 14828, 7127, 547, 28357, 5498, 2131, 619, 563, 7197, 540, 519, 21345, 2146, 2729, 538, 519, 8828, 16973, 540, 20052, 2997, 643, 269, 17148, 616, 5393, 10792, 281, 972, 568, 513, 3586, 3463, 540, 23948, 566, 610, 1244, 677, 566, 282, 789, 616, 30201, 3176, 543, 723, 1100, 3656, 973, 6847, 282, 519, 8128, 1152, 9886, 513, 1360, 3908, 844, 7974, 540, 960, 14998, 267, 4061, 267, 1034, 4600, 616, 10363, 282, 2818, 540, 519, 2146, 2661, 538, 25680, 2883, 2269, 1080, 282, 543, 972, 616, 4049, 22520, 538, 2564, 2533, 269, 769, 1840, 267, 519, 3979, 21345, 2146, 568, 18928, 267, 24407, 569, 4731, 11220, 593, 1079, 12523, 281, 789, 616, 15034, 540, 1373, 19057, 540, 11763, 3676, 267, 4352, 519, 18303, 12080, 540, 2657, 17767, 873, 607, 513, 834, 30144, 7991, 21968, 543, 1857, 6644, 10246, 2471, 602, 789, 616, 16944, 540, 1164, 2157, 540, 6760, 267, 5103, 519, 1249, 602, 1239, 689, 519, 5840, 17318, 5815, 602, 519, 6760, 2557, 585, 519, 2146, 568, 5393, 1970, 563, 2171, 7447, 602, 972, 616, 5111, 476, 277, 267, 1822, 1453, 4867, 2713, 538, 519, 21345, 2146, 538, 5840, 269, 6168, 476, 274, 267, 1822, 7390, 519, 796, 997, 10234, 1554, 3249, 7740, 267, 2196, 676, 4639, 3979, 2021, 538, 519, 2146, 267, 849, 5219, 547, 607, 834, 321, 629, 903, 527, 1562, 1701, 1452, 2021, 616, 711, 8036, 3318, 1416, 3766, 1392, 543, 789, 798, 711, 1256, 3717, 519, 1482, 1893, 607, 930, 540, 519, 3237, 540, 891, 1453, 563, 9336, 1032, 267, 972, 616, 827, 476, 272, 267, 1822, 9002, 4535, 538, 519, 4914, 2146, 538, 5840, 630, 520, 2547, 476, 272, 856, 540, 1169, 476, 279, 24570, 538, 519, 2749, 540, 20052, 2997, 643, 5148, 476, 4037, 260, 540, 873, 616, 4535, 547, 28357, 5498, 2131, 619, 269, 3962, 4816, 4535, 538, 519, 3979, 21345, 2146, 538, 5840, 568, 3274, 7396, 538, 519, 2551, 1036, 3588, 607, 513, 834, 331, 633, 4332, 1701, 901, 1797, 602, 519, 1453, 616, 711, 2016, 606, 9517, 1297, 267, 972, 568, 1100, 1808, 2594, 540, 741, 4332, 267, 543, 621, 568, 782, 855 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 303, 32631, 20266, 27591, 779, 670, 11817, 593, 519, 10830, 267, 29088, 320, 632, 661, 15842, 568, 513, 1713, 7206, 607, 621, 4564, 519, 7376, 779, 1101, 4625, 7750, 626, 11247, 269, 634, 7206, 729, 2813, 538, 476, 5002, 280, 543, 9727, 606, 16070, 3060, 540, 7470, 6674, 539, 5546, 602, 25146, 2394, 2230, 269, 898, 568, 849, 513, 5888, 540, 16866, 12166, 5546, 267, 799, 10630, 1010, 8798, 540, 7750, 1143, 267, 1141, 606, 1843, 568, 7745, 883, 1114, 14742, 547, 6813, 621, 689, 1585, 7285, 563, 2005, 568, 1634, 602, 20266, 27591, 6170, 513, 4832, 538, 476, 5002, 280, 538, 519, 8498, 540, 29088, 320, 632, 661, 15842, 538, 8050, 1141, 646, 3459, 2870, 5251, 5784, 899, 713, 835, 269, 670, 11817, 593, 519, 10830, 267, 29088, 320, 632, 661, 15842, 20186, 519, 2070, 540, 519, 4884, 543, 2982, 922, 6189, 21235, 27507, 540, 1022, 9486, 610, 9885, 609, 1152, 14592, 8237, 883, 12166, 3029, 269, 634, 27177, 540, 519, 6429, 729, 11884, 22198, 6548, 547, 11168, 2417, 602, 519, 29278, 814, 1044, 3812, 689, 1082, 16752, 563, 303, 545, 27591, 1031, 954, 24286, 14742, 547, 19467, 519, 4282, 779, 27726, 27177, 609, 31619, 2275, 27198, 543, 588, 25458, 334, 6189, 538, 519, 8498, 693, 519, 21282, 269, 15788, 267, 670, 11817, 593, 634, 10830, 267, 29088, 320, 1546, 661, 15842, 4564, 20266, 27591, 779, 17117, 540, 7750, 1143, 2553, 543, 922, 3310, 6905, 538, 4207, 10367, 543, 2413, 1148, 5322, 2429, 1686, 269, 0, 2026, 519, 2011, 2837, 6238, 547, 3579, 543, 707, 4555, 2490, 4724, 22481, 24996, 267, 621, 568, 849, 2565, 547, 1445, 938, 3007, 593, 938, 1072, 267, 1519, 835, 540, 519, 1034, 1271, 543, 7533, 13980, 540, 519, 1560, 910, 519, 6797, 269, 634, 6797, 568, 3743, 585, 14123, 12536, 267, 13321, 1426, 883, 1648, 267, 543, 19003, 856, 6757, 5536, 689, 938, 4703, 547, 948, 721, 2611, 538, 1434, 1072, 269, 1306, 513, 2898, 267, 519, 6797, 568, 513, 4105, 1418, 602, 568, 3743, 585, 513, 1297, 540, 4247, 547, 948, 721, 2972, 513, 3267, 1496, 5649, 2859, 2639, 295, 788, 22807, 589, 543, 1215, 898, 1772, 3690, 4784, 454, 295, 788, 22807, 568, 519, 6553, 540, 519, 6797, 3361, 676, 13802, 267, 4568, 946, 267, 1978, 6646, 267, 543, 8290, 269, 5164, 4926, 616, 2808, 519, 1034, 1455, 2014, 540, 17537, 269, 1703, 616, 2947, 3982, 2010, 540, 17537, 3361, 676, 1114, 2010, 540, 17537, 8290, 269, 2913, 779, 2911, 827, 17537, 589, 267, 799, 568, 3361, 676, 17537, 589, 3644, 630, 11190, 309, 1070, 519, 6771, 540, 713, 2068, 267, 543, 1141, 596, 666, 979, 547, 1205, 6669, 543, 2126, 585, 17537, 589, 538, 21388, 267, 7147, 269, 1548, 1772, 22031, 22807, 589, 286, 22031, 22807, 589, 568, 513, 3810, 3267, 1496, 5649, 2859, 2639, 1692, 568, 22031, 22807, 589, 3690, 4784, 888, 295, 788, 22807, 589, 568, 513, 10194, 3968, 540, 519, 6797, 602, 5540, 936, 513, 2929, 1004, 2429, 519, 1158, 1142, 1032, 269, 898, 3123, 519, 6797, 547, 2220, 749, 543, 12153, 2589, 899, 4745, 1928, 267, 9854, 267, 543, 15353, 269, 13575, 267, 519, 2589, 616, 7646, 543, 1016, 2515, 1369, 513, 1906, 4374, 267, 855, 930, 2665, 666, 581, 3978, 269, 18641, 267, 952, 596, 1174, 875, 17537, 589, 568, 10299, 267, 596, 949, 2569, 707, 8458, 540, 16565, 621, 610, 8429, 621, 2059, 952, 596, 1058, 4755, 547, 1205, 621, 269, 18648, 268, 26660, 25530, 4826, 610, 4270, 3267, 1496, 5649, 2859, 2639, 307, 805, 906, 585, 22031, 22807, 589, 454, 7312, 6797, 4249, 513, 4105, 1909, 538, 707, 1560, 267, 3226, 538, 519, 12536, 543, 4393, 540, 1426, 269, 1809, 3006, 267, 596, 666, 581, 6534, 547, 513, 3644, 610, 24059, 602, 666, 2014, 6553, 540, 519, 6797, 1107, 799, 568, 17537, 269, 1703, 616, 1896, 1114, 3029, 540, 17537, 267, 543, 1004, 666, 4579, 873, 538, 1114, 2081, 269, 22031, 22807, 589, 267, 538, 1880, 267, 568, 513, 1360, 21380, 1826, 540, 713, 2068, 267, 855, 621, 568, 849, 3622, 519, 1034, 3362, 1521, 762, 269, 1548, 1772, 22031, 22807, 589, 286, 22031, 22807, 589, 568, 3361, 676, 513, 3644, 269, 589, 3267, 1496, 5649, 2859, 2639, 1432, 15486, 22031, 22807, 589, 888, 2467, 616, 1896, 2010, 540, 17537, 8290, 269, 2353, 540, 873, 1711, 6553, 543, 11874, 1860, 6797, 1599, 269, 22031, 22807, 589, 568, 1360, 21380, 543, 666, 581, 5293, 998, 1426, 543, 1216, 12526, 269, 634, 3644, 849, 19082, 689, 1268, 547, 1268, 950, 3346, 568, 1500, 609, 2576, 945, 568, 7783, 269, 634, 15544, 585, 8376, 6513, 1867, 602, 17061, 540, 17537, 589, 616, 1034, 1455, 538, 1346, 945, 1995, 26683, 269, 4658, 693, 1164, 1981, 540, 519, 3644, 941, 5227, 547, 1205, 25750, 538, 3267, 1496, 5649, 2859, 316, 0, 7628, 519, 476, 1626, 628, 543, 476, 1704, 628, 5553, 267, 950, 519, 17417, 3323, 547, 2097, 936, 547, 519, 1007, 1158, 267, 789, 4362, 513, 2486, 540, 12075, 602, 729, 4174, 330, 5944, 1114, 547, 741, 1378, 269, 1677, 1174, 875, 1114, 267, 835, 1590, 1101, 5635, 543, 4334, 930, 540, 519, 1360, 1271, 3604, 1063, 873, 267, 971, 607, 875, 519, 17417, 2808, 519, 12075, 547, 581, 5393, 18642, 543, 2596, 267, 1247, 267, 6236, 2933, 3540, 1242, 269, 634, 17417, 2808, 602, 789, 941, 2203, 7239, 267, 543, 789, 2219, 602, 519, 12075, 2486, 543, 2528, 1058, 581, 4957, 547, 581, 1360, 2147, 547, 741, 1378, 563, 7072, 634, 7111, 1977, 779, 941, 519, 1101, 1634, 13896, 538, 3345, 3013, 267, 4557, 8536, 1296, 1354, 19090, 3357, 547, 519, 11782, 269, 4256, 8129, 4625, 15458, 267, 10236, 5505, 3494, 972, 941, 1614, 547, 2947, 2929, 7111, 4892, 538, 3345, 3013, 538, 519, 1032, 476, 14983, 273, 630, 295, 2135, 773, 543, 594, 951, 517, 267, 476, 1960, 278, 1040, 1306, 2038, 607, 519, 21829, 2782, 538, 476, 10082, 276, 267, 3864, 13896, 3323, 2921, 4063, 540, 519, 7111, 4892, 269, 10251, 267, 519, 7111, 1977, 2551, 32168, 539, 3648, 538, 519, 1101, 5756, 1310, 741, 1101, 3346, 609, 17417, 269, 7111, 4892, 941, 1631, 796, 31695, 543, 6534, 547, 14686, 3676, 899, 31847, 267, 14798, 267, 543, 27330, 799, 1705, 711, 5892, 2291, 538, 741, 2486, 630, 22139, 1977, 715, 2510, 267, 476, 1001, 277, 1916, 763, 7111, 1977, 4984, 729, 1360, 1114, 689, 519, 4168, 4984, 540, 519, 17417, 269, 634, 7111, 1977, 779, 4769, 1406, 7281, 547, 513, 5601, 267, 789, 7281, 539, 547, 1945, 538, 2470, 971, 607, 519, 6607, 610, 519, 3141, 269, 968, 302, 938, 12624, 519, 3047, 267, 744, 938, 12429, 519, 21708, 892, 630, 307, 1168, 320, 4095, 1040, 634, 21152, 2219, 602, 621, 729, 3046, 8663, 545, 602, 519, 7111, 1977, 779, 4769, 1406, 3494, 538, 513, 2696, 269, 634, 21152, 2219, 602, 972, 729, 1152, 835, 2953, 1259, 547, 581, 3909, 543, 602, 519, 1259, 602, 519, 7111, 1977, 779, 13736, 4984, 729, 2048, 1492, 4636, 1259, 17483, 763, 7111, 4892, 2899, 4278, 1882, 593, 519, 3638, 2244, 540, 519, 17113, 267, 543, 789, 3710, 513, 1279, 18835, 10340, 609, 519, 948, 540, 2470, 267, 10971, 267, 543, 6896, 5107, 1369, 519, 11031, 269, 1717, 267, 519, 14762, 2551, 20034, 5471, 539, 1310, 741, 7237, 609, 3676, 543, 7142, 4074, 4547, 2390, 873, 676, 519, 5053, 543, 14082, 9518, 626, 611, 2803, 269, 4014, 693, 1101, 519, 9518, 626, 611, 2803, 5134, 13015, 540, 7111, 4892, 3100, 13719, 543, 30907, 267, 741, 21037, 540, 519, 17113, 1152, 13148, 9356, 519, 6811, 540, 519, 2296, 4563, 6181, 1742, 10756, 763, 7111, 4892, 5030, 593, 6634, 540, 14143, 540, 2244, 538, 11908, 267, 17906, 267, 17665, 267, 3345, 10491, 543, 8419, 267, 789, 15110, 782, 540, 891, 3338, 689, 741, 11937, 945, 16916, 585, 5481, 269, 4340, 547, 18379, 553, 645, 3716, 514, 582, 519, 25165, 2808, 2933, 547, 581, 1175, 607, 3160, 607, 519, 1733, 2572, 267, 646, 2829, 267, 968, 1432, 568, 606, 4095, 286, 1772, 646, 711, 4646, 540, 519, 1482, 2326, 609, 3054, 9495, 630, 289, 3716, 514, 582, 267, 476, 9264, 277, 264, 634, 25165, 4718, 2933, 547, 581, 1100, 1114, 689, 519, 1733, 2572, 267, 538, 1249, 789, 25374, 585, 835, 1776, 607, 513, 2898, 267, 789, 5030, 538, 737, 1231, 4721, 267, 1141, 972, 729, 2760, 606, 4095, 2451, 4805, 1510, 513, 1920, 269, 1358, 4553, 513, 2486, 1759, 1055, 540, 519, 1523, 540, 22524, 11163, 267, 789, 1185, 538, 741, 2247, 602, 3388, 568, 8200, 540, 1945, 269, 634, 12075, 941, 1360, 4359, 267, 543, 941, 2111, 547, 10653, 538, 741, 2486, 267, 4352, 519, 1733, 2572, 5156, 6382, 267, 543, 5156, 602, 519, 25165, 941, 4608, 2753, 1242, 563, 763, 7111, 4892, 267, 693, 519, 942, 540, 519, 1101, 7237, 267, 941, 1869, 1360, 15520, 543, 13998, 18642, 3379, 547, 519, 17417, 269, 1358, 6410, 513, 2603, 267, 5030, 5631, 540, 10068, 543, 10122, 267, 6170, 741, 942, 14237, 543, 1031, 18642, 2645, 543, 3937, 538, 741, 3232, 2238, 269, 769, 519, 6609, 454, 7628, 519, 476, 1428, 628, 267, 476, 1626, 628, 267, 543, 476, 1704, 628, 5553, 267, 519, 17417, 4956, 547, 7832, 593, 1082, 15322, 602, 1131, 1689, 741, 1259, 540, 1272, 11014, 269, 1452, 15322, 543, 519, 5385, 540, 1004, 267, 2093, 267, 2831, 267, 1426, 267, 543, 3676, 1063, 519, 1079, 2516, 8032, 1686, 585, 519, 1985, 2947, 4627, 1296, 269, 1879, 519, 17417, 8452, 693, 713, 1007, 1922, 895, 2244, 267, 789, 4362, 1018, 789, 2808, 547, 581, 606, 7357, 1007, 2249, 540, 3425, 267, 519, 7111, 4892, 269, 1452, 1079, 9241, 11402, 2516, 540, 1004, 1185, 513, 1906, 540, 519, 1482, 4162, 543, 1259, 540, 2713, 267, 855, 2949, 519, 3604, 1063, 873, 941, 5393, 10373, 563, 5475, 519, 13220, 543, 5717, 713, 3018, 593, 7111, 4892, 267, 519, 1344, 7526, 609, 1250, 3105, 1702, 563, 5475, 17417, 1101, 11402, 7111, 4892, 789, 1705, 711, 4628, 1174, 519, 10764, 543, 2528, 540, 519, 1114, 11031, 269, 634, 17417, 7348, 539, 519, 715, 2510, 607, 513, 14758, 1004, 602, 2877, 547, 581, 3196, 2685, 15849, 30968, 547, 3864, 4441, 7868, 7111, 4892, 2757, 10764, 941, 12235, 11735, 676, 519, 17417, 945, 12595, 8567, 563, 292, 2202, 753, 543, 7111, 4892, 1312, 17477, 3909, 4978, 269, 9282, 267, 7111, 4892, 13994, 4327, 741, 4978, 538, 513, 1447, 11295, 1259, 269, 17417, 941, 1395, 6139, 2065, 269, 1358, 13984, 13039, 3366, 676, 543, 13473, 23464, 269, 1656, 267, 7429, 7111, 4892, 267, 14648, 2854, 30920, 269, 769, 454, 6624, 7986, 12206, 8044, 513, 32692, 1063, 2528, 543, 3909, 6138, 729, 519, 3119, 2014, 540, 4655, 1063, 3864, 13896, 538, 3345, 3013, 543, 7111, 4892, 269, 1717, 267, 513, 6251, 2079, 540, 1977, 1686, 5267, 6382, 269, 2755, 513, 32692, 538, 4529, 543, 3909, 3604, 1705, 2291, 267, 519, 3864, 28735, 540, 7111, 4892, 729, 5097, 23185, 676, 3864, 2804, 18144, 267, 513, 7287, 585, 3407, 2067, 2200, 543, 513, 6159, 1324, 547, 4228, 519, 1977, 7810, 1062, 269, 9603, 547, 713, 267, 519, 4655, 729, 17149, 563, 24375, 940, 538, 519, 31303, 2540, 267, 17417, 1500, 519, 22116, 547, 513, 968, 2908, 1158, 892, 538, 1931, 547, 3035, 9909, 540, 4316, 543, 13284, 1127, 269, 769, 713, 824, 1158, 519, 17417, 3357, 2390, 1776, 1004, 267, 799, 6923, 3366, 547, 513, 2686, 5385, 1063, 1114, 2516, 540, 1004, 269, 4014, 649, 4122, 3277, 547, 3864, 543, 4095, 1894, 607, 1373, 1063, 1175, 1079, 1360, 1114, 2516, 540, 1004, 267, 621, 568, 1271, 547, 5431, 713, 568, 711, 7357, 3020, 269, 4014, 519, 13896, 540, 519, 1007, 1158, 616, 13737, 569, 5219, 547, 607, 17417, 267, 1142, 1895, 540, 1004, 3357, 689, 513, 1114, 4182, 543, 609, 1114, 24500, 543, 6788, 540, 519, 1007, 1158, 269, 6684, 267, 519, 12075, 941, 9444, 513, 8087, 1895, 6862, 8209, 7874, 609, 1142, 824, 269, 9603, 547, 519, 454, 763, 14358, 540, 7111, 4892, 543, 17417, 4438, 519, 476, 1626, 628, 543, 476, 1704, 628, 5553, 267, 950, 519, 17417, 3323, 547, 2097, 936, 547, 519, 1007, 1158, 267, 789, 4362, 513, 2486, 540, 12075, 602, 729, 4174, 330, 5944, 1114, 547, 741, 1378, 269, 1677, 1174, 875, 1114, 267, 835, 1590, 1101, 5635, 543, 4334, 930, 540, 519, 1360, 1271, 3604, 1063, 873, 267, 971, 607, 875, 519, 17417, 2808, 519, 12075, 547, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5170, 267, 1312, 538, 519, 29563, 609, 519, 32134, 540, 4550, 4149, 30146, 267, 543, 1256, 538, 5840, 267, 519, 6014, 22657, 267, 1141, 649, 616, 2141, 4712, 585, 267, 1256, 24584, 267, 2112, 1765, 2254, 1175, 1996, 938, 5007, 12543, 855, 849, 24323, 1996, 18483, 563, 28646, 621, 568, 4401, 545, 602, 1034, 6014, 1004, 538, 5840, 798, 711, 1745, 8296, 936, 4906, 262, 7092, 267, 1256, 1498, 789, 917, 875, 11213, 7092, 666, 581, 269, 1280, 519, 1034, 851, 594, 1265, 1875, 1532, 601, 773, 1324, 5840, 529, 547, 3592, 1745, 4313, 538, 519, 1702, 602, 4906, 11124, 269, 898, 568, 606, 10182, 540, 267, 834, 296, 993, 19914, 602, 4906, 11124, 267, 1317, 649, 723, 11124, 538, 1010, 2012, 9789, 516, 1150, 646, 964, 5703, 547, 7985, 4799, 1607, 3948, 2501, 689, 22293, 267, 2943, 621, 849, 814, 930, 5168, 538, 621, 269, 3627, 853, 2714, 267, 538, 1010, 8748, 1433, 634, 9061, 540, 2441, 267, 16261, 525, 891, 1913, 912, 2005, 568, 8748, 602, 649, 949, 2671, 538, 2441, 781, 7985, 902, 282, 621, 568, 811, 8748, 1869, 602, 646, 8843, 538, 23600, 269, 22427, 569, 1010, 2012, 568, 834, 10387, 28609, 2437, 834, 18661, 609, 721, 1701, 1809, 1010, 834, 1910, 5404, 4331, 257, 568, 711, 3908, 547, 1010, 7092, 609, 1010, 26315, 1004, 269, 9894, 4906, 711, 2161, 602, 538, 14012, 532, 547, 519, 17237, 543, 19818, 344, 267, 519, 24928, 267, 519, 21736, 267, 519, 7210, 543, 519, 26956, 267, 649, 1131, 581, 14012, 532, 547, 1864, 267, 10834, 602, 646, 4857, 5128, 609, 782, 991, 344, 543, 7092, 1004, 286, 273, 454, 8133, 267, 6014, 1004, 723, 11124, 538, 519, 2012, 540, 4906, 269, 1809, 519, 1034, 5863, 3364, 568, 602, 2696, 3357, 538, 519, 1651, 28271, 607, 4906, 267, 543, 8359, 547, 7985, 543, 6038, 5884, 585, 721, 269, 3776, 1004, 723, 28815, 7092, 269, 1656, 4906, 262, 7092, 729, 28815, 585, 721, 267, 543, 538, 19220, 540, 721, 563, 25405, 590, 1229, 568, 519, 2910, 302, 540, 7642, 585, 4906, 563, 272, 269, 23323, 528, 4173, 345, 331, 267, 634, 6014, 3557, 267, 1585, 21820, 563, 273, 269, 3627, 681, 269, 654, 269, 853, 2714, 267, 634, 9061, 540, 2441, 630, 291, 14935, 717, 17311, 281, 14889, 267, 3955, 309, 1513, 640, 4964, 267, 476, 1001, 273, 1070, 533, 269, 476, 30444, 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 ]
[ 0, 2750, 638, 15363, 2262, 23609, 540, 2021, 676, 835, 540, 519, 2250, 2540, 781, 6574, 2021, 5830, 269, 1452, 973, 15606, 1765, 321, 4361, 267, 10855, 3594, 1765, 335, 5593, 12667, 5961, 540, 930, 540, 519, 1034, 9058, 2021, 540, 27190, 1537, 781, 5108, 11652, 2285, 721, 4030, 883, 27190, 1537, 9887, 16638, 891, 4773, 267, 27190, 1537, 1102, 4926, 519, 12926, 6662, 1557, 1106, 609, 519, 15982, 543, 16148, 267, 7551, 1525, 514, 563, 294, 629, 686, 11253, 27190, 1537, 543, 15117, 744, 322, 2086, 334, 941, 519, 1079, 1034, 9565, 543, 15197, 2021, 5830, 540, 14206, 10601, 5824, 3013, 269, 27190, 1537, 267, 513, 10750, 267, 1582, 268, 14445, 730, 16266, 534, 4807, 540, 519, 10239, 945, 729, 513, 10564, 267, 19784, 267, 543, 19829, 267, 2968, 5824, 3013, 781, 1101, 17587, 19846, 622, 538, 476, 3707, 276, 14371, 629, 686, 11253, 27190, 1537, 814, 476, 15150, 2835, 593, 6153, 1348, 338, 609, 476, 278, 1789, 271, 16863, 269, 18637, 686, 11253, 27190, 1537, 779, 1034, 2442, 1433, 568, 29120, 31888, 2529, 19491, 539, 1160, 572, 543, 1160, 572, 6261, 334, 2114, 910, 661, 1504, 2854, 676, 18637, 686, 11253, 27190, 1537, 269, 3367, 713, 1433, 1210, 5616, 7591, 7734, 813, 593, 707, 7193, 267, 543, 5514, 267, 25515, 3457, 269, 8281, 585, 22356, 2542, 267, 5031, 267, 1433, 5658, 610, 1491, 4967, 1247, 596, 1224, 29120, 1160, 572, 543, 1160, 572, 6261, 334, 2114, 563, 8649, 7571, 2593, 281, 29120, 1160, 572, 543, 1160, 572, 6261, 334, 2114, 630, 297, 4141, 681, 269, 543, 1855, 25564, 700, 9926, 8457, 7043, 10022, 538, 5824, 1977, 543, 21337, 3203, 543, 9177, 282, 7147, 7754, 1977, 9085, 538, 22564, 10022, 267, 667, 15967, 18722, 267, 15503, 264, 26496, 281, 27190, 1537, 267, 18637, 686, 11253, 267, 570, 2355, 22574, 267, 15537, 281, 28632, 15188, 563, 10287, 18637, 686, 11253, 27190, 1537, 543, 2263, 741, 15853, 689, 8835, 2593, 781, 18637, 686, 11253, 27190, 1537, 8191, 8525, 563, 294, 629, 686, 11253, 27190, 1537, 267, 5339, 15554, 7716, 540, 12359, 10042, 2696, 1195, 1325, 322, 599, 15676, 267, 729, 519, 1101, 5053, 1977, 2278, 547, 4309, 519, 17587, 15356, 538, 3332, 282, 607, 971, 267, 1352, 786, 2141, 581, 2938, 607, 513, 11347, 4137, 538, 519, 2686, 1686, 540, 519, 11782, 269, 2290, 540, 519, 1655, 8153, 5824, 1977, 15023, 540, 1200, 942, 267, 18637, 686, 11253, 32737, 1352, 729, 8098, 3931, 569, 1572, 782, 936, 519, 17104, 1158, 1765, 10603, 617, 1221, 538, 1200, 1268, 563, 294, 629, 686, 11253, 27190, 1537, 729, 4535, 12359, 10042, 2696, 1195, 1325, 322, 599, 15676, 267, 593, 4989, 476, 278, 267, 476, 6642, 280, 267, 540, 5053, 543, 5178, 4302, 22871, 282, 1200, 4651, 267, 945, 9390, 539, 519, 1920, 950, 12359, 10042, 729, 855, 513, 1126, 540, 1614, 1296, 267, 729, 513, 4116, 543, 563, 294, 629, 686, 11253, 27190, 1537, 729, 519, 15554, 7716, 540, 12359, 10042, 2696, 1195, 1325, 322, 599, 15676, 267, 513, 16266, 534, 10564, 267, 19829, 267, 17009, 520, 267, 543, 15594, 945, 729, 519, 1101, 5824, 1977, 547, 3094, 519, 17587, 15356, 538, 9085, 267, 538, 476, 3707, 276, 269, 2368, 3844, 4798, 538, 1200, 9954, 616, 2470, 267, 20729, 531, 267, 2648, 267, 513, 3993, 781, 2648, 267, 28194, 543, 6051, 267, 2951, 267, 543, 5824, 1977, 3961, 607, 4646, 689, 513, 7848, 540, 7111, 1977, 543, 3864, 7506, 563, 763, 1101, 5824, 1977, 547, 4309, 513, 17587, 15356, 585, 9085, 267, 519, 16266, 534, 5856, 18637, 686, 11253, 27190, 1537, 630, 6642, 280, 268, 4198, 278, 264, 568, 1419, 6353, 607, 513, 7067, 267, 14774, 5639, 945, 12038, 593, 15773, 540, 2021, 267, 6805, 9082, 267, 519, 771, 523, 325, 13361, 2213, 267, 1453, 267, 543, 519, 6917, 4057, 563, 763, 18637, 686, 11253, 27190, 1537, 7690, 849, 8992, 519, 1272, 267, 2219, 543, 960, 540, 18637, 686, 11253, 27190, 1537, 676, 8066, 2027, 3292, 543, 2621, 269, 634, 7690, 568, 513, 476, 26341, 630, 322, 264, 274, 1875, 17416, 3919, 10805, 563, 294, 629, 686, 11253, 27190, 1537, 568, 519, 1152, 5824, 1977, 4807, 5856, 547, 581, 13752, 519, 17587, 15356, 538, 9085, 269, 4634, 865, 267, 1200, 9058, 10781, 538, 6965, 267, 2239, 267, 543, 2797, 3594, 2611, 7361, 2150, 1245, 269, 18637, 686, 11253, 27190, 1537, 281, 634, 10748, 20160, 13488, 518, 7710, 12050, 569, 543, 24617, 519, 1950, 9371, 540, 27190, 1537, 543, 519, 1259, 538, 799, 1200, 960, 5170, 547, 5581, 5824, 3013, 563, 19185, 585, 2835, 676, 18637, 686, 11253, 27190, 1537, 286, 6423, 782, 2835, 30363, 676, 18637, 686, 11253, 27190, 1537, 267, 1519, 5824, 1977, 19536, 630, 24145, 776, 24153, 1070, 543, 11146, 31888, 689, 8050, 543, 5053, 3013, 267, 543, 811, 593, 28202, 3424, 20486, 2593, 563, 294, 629, 686, 11253, 27190, 1537, 543, 15117, 744, 322, 2086, 334, 941, 519, 1079, 1034, 9565, 543, 15197, 2021, 5830, 540, 14206, 10601, 5824, 3013, 269, 27190, 1537, 267, 513, 10750, 267, 1582, 268, 14445, 730, 16266, 534, 4807, 540, 519, 10239, 945, 729, 513, 10564, 267, 19784, 267, 543, 19829, 267, 2968, 5824, 3013, 262, 1101, 17587, 19846, 622, 538, 476, 3707, 276, 563, 5649, 713, 1433, 593, 2372, 652, 807, 269, 634, 1101, 5824, 1977, 547, 4309, 513, 17587, 15356, 585, 9085, 267, 519, 16266, 534, 5856, 18637, 686, 11253, 27190, 1537, 630, 6642, 280, 268, 4198, 278, 264, 568, 1419, 6353, 607, 513, 7067, 267, 14774, 5639, 945, 12038, 593, 15773, 540, 2021, 267, 6805, 9082, 267, 519, 771, 523, 325, 13361, 2213, 267, 1453, 267, 543, 519, 6917, 4057, 563, 294, 629, 686, 11253, 27190, 1537, 3594, 294, 629, 686, 11253, 27190, 1537, 281, 589, 7313, 564, 543, 513, 11819, 538, 16266, 267, 519, 2012, 18637, 686, 11253, 27190, 1537, 568, 513, 1134, 8153, 835, 269, 898, 568, 519, 2012, 540, 5310, 519, 2197, 781, 6574, 10564, 543, 2069, 19191, 269, 18637, 686, 11253, 27190, 1537, 568, 519, 4050, 2012, 585, 12359, 10042, 2696, 1195, 1325, 322, 599, 15676, 269, 2701, 5206, 1082, 9954, 2429, 1200, 561, 563, 294, 629, 686, 11253, 27190, 1537, 267, 16266, 534, 10564, 267, 945, 538, 476, 3707, 276, 2968, 519, 1101, 5824, 1977, 547, 3094, 519, 17587, 15356, 585, 9085, 269, 2986, 5053, 267, 5178, 4302, 267, 543, 4095, 16350, 267, 27190, 1537, 8057, 909, 538, 513, 8498, 540, 7187, 16266, 543, 2968, 513, 1153, 974, 12329, 693, 2085, 476, 1428, 267, 14027, 2663, 547, 519, 7584, 540, 2852, 7548, 563, 29369, 2316, 300, 2464, 267, 4873, 476, 275, 267, 476, 1220, 274, 1412, 300, 1278, 540, 519, 13780, 10086, 7313, 564, 543, 15776, 15487, 286, 1635, 700, 2752, 23802, 681, 15121, 9898, 590, 3198, 2316, 8980, 302, 267, 16266, 27819, 513, 3368, 10601, 1310, 18637, 686, 11253, 27190, 1537, 781, 2669, 267, 1200, 4527, 666, 1869, 581, 5433, 3592, 10876, 538, 16266, 269, 1703, 568, 4440, 1100, 4884, 538, 713, 2197, 602, 1281, 711, 723, 513, 8265, 267, 4009, 610, 1153, 3957, 585, 1200, 267, 519, 1101, 5824, 1977, 547, 3094, 519, 17587, 15356, 585, 3332, 267, 543, 1200, 9954, 543, 269, 0, 2252, 596, 1544, 593, 10707, 676, 1286, 609, 707, 4620, 267, 1287, 581, 5423, 585, 2009, 5163, 19210, 269, 3509, 10130, 1205, 5163, 19210, 1175, 899, 3425, 269, 623, 1115, 1205, 5163, 19210, 585, 1312, 2168, 543, 3929, 4128, 269, 1717, 267, 972, 616, 1919, 596, 666, 798, 547, 1118, 707, 4620, 811, 6899, 269, 3371, 616, 930, 540, 519, 4191, 540, 1286, 19210, 538, 10130, 543, 2081, 596, 666, 948, 563, 3963, 1684, 2368, 623, 1115, 5192, 18289, 590, 32169, 888, 5278, 2831, 1205, 5163, 19210, 1813, 547, 606, 6418, 1274, 1966, 269, 18289, 19210, 568, 1419, 811, 4049, 538, 7820, 2831, 267, 543, 1082, 856, 326, 992, 519, 2783, 269, 2368, 2831, 1205, 7210, 1813, 547, 3665, 4160, 689, 1373, 796, 3147, 25383, 547, 2951, 610, 1317, 789, 4312, 1185, 513, 3105, 3983, 2951, 1995, 269, 5871, 5163, 19210, 2589, 1331, 912, 268, 21373, 3481, 14302, 454, 268, 26100, 561, 10107, 454, 268, 1733, 574, 27128, 630, 514, 5243, 994, 12663, 9751, 6435, 2060, 18289, 590, 32169, 888, 32086, 543, 1035, 743, 11582, 616, 2523, 5363, 585, 10130, 609, 5163, 19210, 1813, 547, 4160, 2152, 269, 1403, 707, 4620, 27498, 14964, 538, 519, 1286, 609, 1945, 18473, 267, 1287, 646, 610, 1352, 786, 2693, 723, 2042, 538, 519, 2104, 269, 1280, 1383, 267, 952, 596, 1152, 2285, 707, 4620, 513, 1286, 11878, 547, 519, 17022, 267, 1287, 646, 610, 1352, 949, 581, 811, 14221, 827, 10707, 563, 9359, 856, 609, 2110, 15143, 547, 4025, 707, 4620, 786, 2972, 269, 21561, 519, 3259, 540, 942, 538, 519, 1286, 7930, 269, 1411, 666, 849, 1118, 1919, 4443, 676, 2348, 707, 4620, 3068, 4464, 543, 16715, 519, 9486, 5594, 269, 20780, 2059, 2027, 9162, 596, 946, 1152, 950, 10707, 676, 1286, 269, 13575, 267, 621, 568, 19624, 711, 547, 3049, 707, 4620, 1354, 10707, 269, 1717, 267, 930, 10130, 798, 1732, 952, 789, 723, 513, 1507, 2179, 540, 1426, 543, 1216, 538, 741, 7181, 338, 563, 4692, 6925, 21079, 18289, 590, 32169, 888, 2690, 10130, 609, 4049, 5163, 19210, 610, 606, 6418, 1274, 1966, 267, 6527, 949, 948, 269, 8891, 1606, 12522, 4550, 5991, 13835, 5061, 543, 4550, 7290, 26952, 723, 1044, 3254, 547, 581, 5363, 538, 4227, 5163, 19210, 269, 1403, 596, 616, 1152, 4058, 593, 2921, 707, 4620, 593, 513, 835, 6066, 7552, 267, 1287, 2911, 547, 707, 16943, 827, 6822, 566, 269, 5213, 1405, 2119, 4758, 1022, 6527, 547, 707, 4620, 1510, 6158, 547, 513, 3318, 563, 6624, 10130, 616, 2111, 547, 2951, 676, 1286, 1310, 741, 5163, 19210, 1966, 568, 10970, 7007, 269, 1717, 267, 930, 10130, 949, 723, 4049, 19210, 543, 949, 2760, 1035, 30873, 547, 14964, 538, 513, 6174, 269, 1403, 2009, 267, 621, 949, 581, 1732, 585, 707, 4620, 547, 581, 4604, 539, 952, 621, 568, 711, 2565, 646, 610, 1352, 12599, 609, 596, 269, 3509, 3662, 10506, 2709, 27756, 2533, 538, 1840, 547, 2564, 2126, 269, 13185, 547, 513, 16943, 693, 606, 3662, 6413, 899, 4741, 4149, 2088, 328, 10960, 11233, 585, 811, 1344, 827, 875, 547, 1118, 707, 4620, 811, 6899, 1247, 10707, 269, 0, 296, 6415, 3206, 744, 8008, 267, 811, 982, 1022, 824, 17565, 267, 7512, 454, 320, 3638, 1305, 540, 23199, 267, 799, 949, 581, 512, 719, 539, 607, 606, 5413, 454, 604, 596, 2811, 2479, 909, 1996, 519, 1134, 538, 606, 744, 8008, 3620, 739, 850, 4055, 630, 2041, 523, 454, 11004, 2944, 602, 1040, 834, 12901, 328, 21553, 704, 520, 643, 1235, 257, 666, 581, 7168, 17740, 656, 563, 1103, 615, 13330, 568, 513, 1034, 6654, 14165, 267, 689, 950, 576, 2097, 1022, 454, 15893, 540, 22660, 267, 2385, 267, 1126, 267, 3818, 1790, 1861, 26336, 563, 5472, 602, 10924, 1702, 689, 834, 9418, 1272, 257, 1102, 4926, 519, 6300, 454, 339, 1779, 267, 4758, 513, 5818, 538, 1620, 3177, 519, 23199, 454, 13873, 1405, 1932, 22801, 563, 763, 25725, 814, 1831, 24819, 607, 606, 6654, 834, 1345, 257, 538, 454, 16341, 1604, 602, 1522, 538, 2490, 581, 1016, 5035, 539, 952, 649, 454, 3697, 269, 2368, 24983, 827, 834, 339, 4669, 956, 782, 519, 1259, 1524, 2668, 898, 781, 519, 454, 738, 1493, 1285, 20345, 610, 1138, 267, 2356, 2938, 607, 834, 274, 6113, 1268, 257, 855, 454, 322, 746, 581, 834, 272, 560, 1268, 257, 607, 1134, 630, 4219, 540, 21169, 1916, 4913, 267, 594, 4682, 609, 513, 570, 847, 528, 3079, 540, 25725, 10502, 454, 20357, 519, 14854, 23199, 723, 1044, 5144, 539, 7168, 454, 628, 528, 5699, 543, 991, 333, 1405, 581, 519, 2063, 2262, 269, 2060, 513, 570, 847, 528, 2676, 933, 1205, 1007, 552, 1399, 332, 3098, 267, 971, 607, 20086, 267, 8778, 732, 267, 547, 8749, 2676, 1729, 726, 578, 267, 547, 4734, 513, 678, 583, 610, 1665, 267, 547, 2594, 267, 547, 798, 960, 454, 3080, 540, 519, 15864, 2081, 547, 1397, 1055, 23199, 568, 711, 547, 454, 11357, 5035, 513, 519, 570, 847, 528, 1826, 2705, 267, 855, 547, 3274, 454, 24257, 689, 3484, 16447, 1104, 570, 847, 528, 607, 4518, 518, 267, 12426, 607, 31543, 454, 24257, 689, 3484, 16447, 1104, 570, 847, 528, 607, 2229, 318, 1740, 518, 267, 12426, 607, 9351, 318, 7906, 454, 10743, 5612, 5660, 519, 12746, 625, 1063, 454, 320, 7504, 6438 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 811, 2067, 5920, 563, 16729, 17848, 22575, 9615, 269, 23247, 610, 2620, 9178, 666, 3441, 519, 9703, 540, 513, 5694, 910, 519, 17870, 543, 3597, 23668, 910, 543, 1439, 9734, 922, 6668, 269, 589, 3597, 12324, 2126, 18274, 856, 543, 18203, 891, 2127, 267, 11423, 873, 609, 513, 2027, 11423, 547, 2061, 2417, 3968, 269, 589, 13862, 568, 2356, 2556, 547, 1312, 2149, 519, 5694, 543, 11177, 922, 5920, 563, 11514, 3712, 2610, 269, 1703, 779, 513, 3017, 1063, 21286, 28969, 540, 519, 19596, 267, 799, 666, 2356, 581, 6505, 2989, 609, 31820, 3435, 267, 543, 28969, 2620, 1369, 519, 5694, 689, 1585, 3123, 269, 2755, 972, 616, 2553, 547, 6926, 778, 968, 842, 337, 13917, 892, 28969, 267, 513, 13862, 2488, 1776, 4781, 585, 8720, 513, 8185, 23209, 1819, 5694, 585, 513, 811, 10694, 5920, 563, 2750, 947, 633, 23203, 269, 1284, 782, 1995, 930, 4522, 9849, 607, 649, 2085, 282, 855, 8860, 610, 804, 523, 4221, 6208, 666, 17108, 602, 5957, 543, 2110, 523, 4522, 267, 4611, 538, 513, 16349, 569, 9907, 1413, 269, 18844, 985, 11177, 12816, 4522, 547, 513, 811, 3339, 3259, 602, 666, 1491, 968, 344, 8986, 892, 1055, 707, 12837, 563, 2252, 596, 1131, 899, 811, 1344, 593, 13862, 1964, 32590, 267, 5225, 3346, 721, 610, 8430, 606, 13393, 585, 513, 15360, 269, 1411, 666, 849, 1451, 811, 827, 713, 1888, 676, 2542, 519, 31351, 16362, 12139, 2376, 968, 290, 992, 985, 1299, 15167, 1740, 3034, 1607, 3896, 2882, 2326, 602, 616, 6870, 676, 10677, 267, 610, 824, 28106, 2924, 269, 28298, 610, 12093, 540, 6870, 3688, 3564, 602, 4847, 676, 4023, 946, 267, 607, 3989, 538, 519, 10677, 4031, 267, 3340, 519, 2854, 10479, 540, 519, 10677, 5411, 269, 0, 2414, 24183, 519, 4502, 543, 2956, 540, 17271, 1871, 267, 607, 22118, 333, 589, 269, 7395, 340, 790, 543, 6276, 3807, 639, 798, 538, 741, 7348, 4812, 2376, 630, 27807, 16631, 476, 6812, 281, 476, 280, 1015, 1700, 26605, 1070, 568, 547, 24183, 5726, 960, 269, 1358, 2933, 5431, 519, 2956, 543, 28252, 540, 17271, 1871, 950, 267, 13288, 547, 519, 29510, 15661, 2920, 267, 789, 1533, 267, 968, 4504, 337, 13917, 1871, 949, 1205, 513, 6069, 17609, 547, 519, 3349, 267, 855, 621, 1281, 711, 1590, 518, 519, 3007, 2877, 547, 1205, 621, 1055, 519, 3349, 543, 883, 2962, 1848, 4014, 17271, 1871, 3112, 581, 519, 6852, 4493, 585, 5726, 4058, 610, 3375, 14708, 267, 621, 1281, 1683, 3483, 543, 6770, 6105, 968, 1729, 519, 3349, 3034, 300, 16331, 790, 543, 3807, 639, 781, 4909, 5470, 568, 519, 2070, 602, 17271, 1871, 1590, 14526, 609, 15747, 1871, 269, 4256, 2376, 5956, 676, 14344, 519, 1489, 585, 17271, 1871, 540, 968, 4621, 3569, 1235, 689, 16334, 597, 547, 15966, 879, 2917, 892, 855, 3085, 1405, 2285, 519, 2898, 4605, 269, 634, 3661, 602, 2470, 814, 17271, 1871, 607, 1134, 607, 543, 6306, 689, 922, 15747, 1871, 814, 1044, 5941, 676, 5830, 689, 2274, 641, 1245, 547, 17029, 8725, 269, 11094, 1235, 1590, 8275, 602, 17271, 543, 16312, 13917, 630, 514, 11584, 11365, 264, 2418, 616, 711, 20102, 12600, 563, 300, 16331, 790, 543, 3807, 639, 849, 2226, 602, 950, 4027, 540, 513, 2249, 610, 5117, 7526, 609, 2804, 1646, 610, 609, 7525, 1480, 2115, 267, 17271, 1871, 568, 1256, 1447, 2693, 547, 581, 606, 2500, 4493, 585, 5726, 269, 901, 4661, 1085, 1901, 2998, 1846, 17271, 1871, 269, 5221, 540, 30768, 781, 10236, 12510, 337, 1143, 267, 1100, 4493, 585, 5726, 568, 2693, 547, 25041, 7525, 1480, 2115, 563, 1103, 3105, 1296, 267, 5726, 814, 1044, 13337, 539, 585, 1373, 8572, 547, 3914, 519, 13999, 269, 2859, 5063, 972, 723, 1044, 3811, 12352, 585, 5726, 1063, 2257, 543, 4984, 269, 1284, 1058, 581, 30070, 1004, 676, 4839, 4221, 856, 538, 3406, 540, 2093, 602, 9148, 938, 1378, 267, 2864, 982, 16550, 873, 547, 3442, 1063, 2035, 602, 616, 538, 1249, 15095, 563, 4131, 1562, 547, 519, 15503, 454, 13893, 275, 594, 9335, 267, 32065, 267, 2672, 924, 476, 1220, 6115, 267, 9823, 476, 1220, 4962, 661, 17733, 281, 4757, 11333, 2593, 454, 763, 5234, 540, 12713, 16631, 14425, 519, 1318, 547, 12575, 5022, 585, 9355, 1510, 711, 4328, 519, 2278, 269, 16707, 616, 3370, 607, 2230, 3587, 2139, 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 ]
[ 538, 519, 1603, 1184, 563, 2690, 1383, 267, 6158, 609, 1053, 827, 2093, 267, 2328, 2854, 6114, 593, 31585, 267, 723, 1053, 4431, 547, 741, 9905, 262, 31585, 538, 1184, 267, 3092, 269, 0, 307, 17687, 1656, 4706, 20970, 8018, 454, 307, 17687, 543, 922, 6482, 269, 18071, 1283, 3211, 1336, 585, 2837, 543, 922, 6482, 269, 930, 540, 519, 3211, 585, 713, 1523, 616, 2837, 543, 922, 6482, 267, 3002, 922, 6482, 960, 267, 4853, 2837, 6482, 9238, 543, 2259, 267, 3002, 543, 3002, 9273, 267, 2837, 4603, 267, 2259, 609, 2542, 7893, 3457, 960, 851, 267, 7403, 18323, 543, 922, 6482, 563, 5891, 532, 782, 3211, 1644, 547, 2837, 543, 922, 6482, 269, 3211, 616, 2837, 543, 922, 6482, 267, 3002, 922, 6482, 960, 267, 4853, 2837, 6482, 9238, 543, 2259, 267, 3002, 543, 3002, 9273, 267, 2837, 4603, 267, 2259, 609, 2542, 7893, 3457, 960, 851, 267, 7403, 543, 2368, 540, 519, 3211, 10268, 616, 2837, 543, 922, 6482, 267, 3002, 922, 6482, 960, 267, 4853, 2837, 6482, 9238, 543, 2259, 267, 3002, 543, 3002, 9273, 267, 2837, 4603, 267, 2259, 609, 2542, 7893, 3457, 960, 851, 267, 7403, 543, 5470, 2079, 267, 3002, 543, 2837, 563, 8266, 540, 18323, 1656, 4706, 20970, 8018, 454, 5629, 596, 1265, 707, 4976, 267, 4945, 593, 12835, 610, 1820, 12835, 547, 4976, 18323, 3211, 723, 3875, 1863, 585, 7893, 2837, 1210, 4336, 543, 4336, 267, 4122, 1572, 5687, 18852, 269, 737, 601, 9109, 4336, 568, 849, 1031, 547, 2268, 2837, 269, 2837, 568, 1175, 513, 1297, 563, 339, 17687, 568, 519, 11050, 1259, 547, 2769, 3905, 1145, 610, 4411, 1145, 11053, 17687, 10253, 543, 3446, 6482, 4976, 269, 519, 2837, 540, 513, 6093, 4832, 1554, 568, 513, 269, 524, 536, 269, 524, 524, 269, 535, 269, 519, 2837, 540, 513, 6777, 344, 1554, 1058, 581, 2630, 513, 269, 524, 536, 269, 535, 524, 269, 535, 269, 519, 1216, 538, 513, 3905, 19389, 8602, 581, 1472, 513, 563, 272, 269, 11242, 6096, 17546, 18323, 26440, 4181, 6103, 476, 272, 476, 273, 4841, 4569, 20970, 16504, 454, 1692, 1082, 795, 537, 956, 540, 3002, 616, 2016, 1055, 950, 269, 10101, 540, 1216, 3579, 689, 547, 7117, 544, 269, 512, 7117, 269, 575, 269, 795, 326, 269, 795, 269, 952, 795, 537, 956, 540, 3002, 616, 3773, 547, 269, 10101, 540, 1216, 693, 1421, 1018, 786, 519, 1007, 2837, 581, 7117, 544, 19403, 532, 5687, 18852, 3211, 269, 979, 3564, 2542, 2835, 609, 938, 7792, 2542, 513, 26282, 3211, 563, 2181, 6768, 1053, 540, 3446, 998, 3446, 547, 1224, 5210, 593, 543, 10253, 689, 513, 1804, 3099, 540, 5210, 6592, 593, 938, 3982, 569, 2966, 5687, 18852, 8151, 689, 547, 267, 547, 267, 547, 267, 543, 513, 2036, 334, 540, 543, 10253, 8160, 324, 5501, 618, 3211, 585, 9656, 998, 3446, 563, 273, 269, 18323, 23586, 6651, 20970, 8018, 4569, 6096, 7335, 454, 28959, 2837, 543, 7269, 31376, 6656, 269, 2837, 269, 538, 606, 1843, 782, 5536, 723, 15452, 19367, 1317, 540, 741, 4351, 20517, 269, 2837, 568, 519, 7274, 799, 568, 2047, 14354, 547, 519, 3328, 15452, 1648, 540, 519, 8444, 540, 2339, 563, 274, 269, 7335, 31301, 2137, 26457, 10309, 20970, 8018, 6096, 6478, 7731, 454, 4322, 7403, 616, 585, 811, 982, 17048, 532, 789, 949, 1683, 1271, 4030, 883, 519, 1072, 543, 10304, 540, 519, 5396, 1373, 6594, 269, 1818, 5730, 543, 4977, 7403, 568, 849, 1271, 538, 2090, 5342, 693, 519, 11053, 17687, 568, 513, 2268, 540, 875, 3905, 1945, 568, 563, 275, 269, 7335, 31301, 2137, 26457, 18852, 4569, 918, 9917, 564, 20970, 918, 9917, 1115, 24366, 454, 12850, 1863, 8240, 693, 524, 5232, 543, 1630, 2812, 693, 524, 269, 707, 1973, 568, 2356, 524, 8160, 324, 5501, 618, 3211, 609, 2626, 6656, 891, 6482, 3211, 616, 1390, 585, 782, 2157, 540, 2979, 269, 3214, 786, 581, 2111, 547, 3362, 2689, 543, 2259, 741, 2979, 1983, 269, 3274, 4647, 543, 1820, 891, 6482, 3211, 563, 276, 269, 7335, 31301, 2137, 26457, 18852, 20970, 8018, 6096, 24366, 4569, 454, 292, 553, 1176, 2638, 741, 960, 609, 519, 2626, 9212, 269, 15037, 267, 4976, 11783, 1759, 593, 519, 4990, 540, 26282, 9001, 519, 1259, 540, 13844, 513, 2837, 2542, 1223, 581, 5594, 1114, 269, 5812, 2837, 568, 606, 1271, 2460, 799, 5222, 519, 2557, 540, 5114, 563, 277, 269, 7335, 31301, 2137, 26457, 18852, 20970, 6096, 681, 17526, 4569, 454, 15124, 518, 2837, 849, 12651, 519, 3747, 585, 811, 5135, 267, 799, 4679, 2295, 1599, 607, 513, 1259, 547, 5150, 811, 5135, 547, 3982, 3334, 18323, 568, 1419, 6027, 538, 835, 540, 1079, 10253, 519, 4336, 543, 519, 4336, 269, 513, 26282, 786, 2268, 519, 14495, 1448, 540, 1216, 693, 543, 922, 16171, 1448, 693, 513, 26282, 786, 2268, 519, 1482, 2621, 693, 585, 519, 14495, 1448, 540, 8018, 563, 278, 269, 7335, 26457, 10309, 8018, 10341, 6096, 454, 13750, 538, 707, 1378, 2474, 1018, 568, 519, 1101, 1876, 540, 32721, 267, 513, 6806, 1062, 267, 606, 9678, 1062, 267, 10450, 267, 3002, 267, 960, 267, 543, 1648, 269, 2837, 568, 513, 2268, 540, 519, 15452, 1648, 540, 513, 7636, 5163, 269, 1648, 568, 519, 4390, 547, 798, 960, 610, 3761, 3002, 563, 279, 269, 8249, 6096, 20970, 4569, 454, 13202, 267, 547, 1039, 811, 2979, 24909, 585, 5580, 9344, 267, 723, 1053, 6460, 519, 5210, 593, 519, 4976, 547, 519, 737, 601, 9109, 4336, 2837, 269, 737, 601, 9109, 2837, 269, 585, 2539, 9344, 267, 621, 949, 581, 5363, 547, 1152, 2347, 519, 2063, 1305, 540, 2042, 593, 519, 4976, 14291, 5210, 689, 547, 563, 280, 269, 3163, 5149, 16661, 12763, 18323, 19590, 5664, 3427, 31401, 454, 13971, 267, 649, 2268, 2837, 1210, 513, 26282, 267, 799, 666, 2901, 723, 5277, 610, 581, 3059, 269, 649, 849, 6743, 693, 519, 824, 5686, 540, 2837, 6482, 267, 1519, 6096, 593, 2597, 616, 2966, 2687, 547, 1455, 4295, 4441, 585, 10026, 3214, 563, 1015, 269, 11354, 4569, 6096, 6103, 20028, 4804, 454, 14399, 1131, 1174, 2474, 899, 2462, 267, 1507, 267, 5458, 267, 13557, 267, 5230, 267, 1769, 267, 2597, 1652, 267, 950, 789, 5635, 543, 7447, 519, 3615, 3254, 538, 891, 10477, 3211, 543, 2238, 12282, 534, 267, 946, 713, 2534, 609, 1053, 1451, 827, 1883, 28879, 2035, 543, 267, 543, 2626, 2055, 827, 2837, 563, 1321, 269, 18323, 4569, 4804, 4741, 9752, 3163, 15206, 454, 2171, 2268, 2837, 540, 6927, 609, 513, 3926, 1572, 26282, 6993, 1872, 267, 1702, 540, 2837, 666, 948, 10038, 4055, 2837, 585, 513, 6899, 1604, 267, 2327, 602, 513, 17002, 5127, 568, 3905, 2614, 585, 2326, 899, 2612, 547, 6529, 547, 922, 2627, 267, 2061, 2599, 23986, 908, 267, 543, 1832, 1426, 689, 1373, 26151, 563, 1724, 269, 3487, 476, 272, 476, 273, 18323, 631, 10248, 10794, 4569, 20970, 853, 725, 15858, 454, 7230, 785, 519, 1453, 602, 1416, 786, 581, 2877, 950, 7893, 519, 2837, 540, 1360, 3905, 1216, 269, 1453, 2594, 741, 7403, 1210, 519, 7893, 5210, 4976, 543, 4063, 519, 942, 6993, 26282, 3800, 519, 2011, 2837, 269, 1034, 5687, 18852, 616, 6806, 4837, 13740, 5627, 15559, 971, 607, 4568, 610, 16035, 563, 1691, 269, 18323, 16661, 9293, 4569, 20970, 454, 2690, 713, 2376, 267, 649, 616, 1152, 7255, 609, 835, 1826, 540, 9300, 602, 666, 2268, 2837, 269, 10666, 713, 7688, 4976, 269, 713, 7688, 543, 922, 7222, 4976, 786, 948, 2268, 707, 1620, 540, 4365, 4632, 543, 875, 789, 666, 2170, 609, 1142, 824, 563, 1428, 269, 18323, 6096, 6103, 454, 5804, 1560, 6482, 3259, 3211, 547, 3259, 540, 1560, 6482, 7044, 267, 3533, 1265, 3872, 2200, 269, 538, 713, 7403, 3992, 267, 1053, 2697, 519, 1114, 3029, 540, 7403, 971, 607, 942, 267, 2837, 267, 4390, 543, 3259, 269, 1053, 8415, 17710, 267, 12035, 543, 23234, 547, 563, 1626, 269, 18323, 6096, 17130, 21998, 5589, 1800, 3883, 2280, 6478, 9931, 9293, 26969, 4569, 11242, 16504, 5131, 16497, 15099, 454, 7476, 1863, 1569, 1294, 2689, 16638, 713, 3915, 6482, 4976, 267, 1053, 4431, 547, 2789, 3903, 2055, 3823, 519, 6482, 540, 3259, 267, 2527, 267, 2597, 267, 543, 2837, 269, 713, 729, 2854, 585, 946, 609, 519, 3915, 519, 2257, 18560, 12558, 593, 6482, 563, 1704, 269, 26457, 10309, 8342, 3163, 16103, 14400, 454, 1607, 1344, 267, 607, 1134, 607, 519, 4087, 585, 519, 2837, 6482, 267, 1058, 581, 593, 519, 3366, 1239, 6656, 269, 519, 3366, 568, 15841, 547, 513, 269, 952, 5265, 2966, 267, 519, 786, 723, 513, 1804, 3002, 16173, 14950, 602, 26632, 919, 3002, 2476, 689, 519, 3366, 267, 2901, 2663, 958, 547, 519, 2427, 267, 998, 519, 547, 519, 1394, 2427, 267, 610, 1312, 563, 1240, 269, 26457, 10309, 20970, 13088, 15026, 11426, 776, 11242, 4569, 454, 14257, 267, 538, 519, 1184, 540, 6482, 540, 2837, 267, 972, 568, 513, 2603, 547, 1174, 543, 835, 540, 873, 568, 519, 1620, 540, 519, 2324, 6127, 540, 5687, 18852, 269, 538, 5687, 18852, 267, 972, 568, 2901, 513, 16035, 610, 4568, 26282, 799, 2337, 538, 519, 6482, 540, 6435, 707, 1126, 1451, 519, 9238, 540, 5277, 6482, 609, 713, 4976, 267, 543, 1287, 646, 666, 2119, 4543, 856, 538, 519, 10051, 585, 513, 3992, 3446, 563, 866, 269, 26457, 10309, 20970, 13088, 15026, 4804, 454, 13043, 269, 4976, 269, 5277, 4320, 20645, 5750, 269, 610, 11919, 1533, 786, 1860, 922, 4320, 267, 621, 568, 849, 22524, 8817, 609, 2604, 543, 2837, 269, 1896, 4031, 267, 971, 607, 519, 4998, 3154, 1876, 11065, 553, 545, 3259, 3211, 585, 9656, 998, 3446, 2270, 7893, 3259, 540, 3615, 609, 1957, 24056, 267, 2679, 7161, 543, 17710, 21501, 3259, 267, 4463, 610, 3178, 540, 3688, 563, 736, 269, 26457, 10309, 16661, 26969, 3163, 16497, 1530, 3517, 454, 305, 17526, 3211, 2270, 2542, 24072, 267, 5373, 24072, 547, 1397, 519, 2542, 267, 7893, 13063, 267, 2542, 7148, 525, 547, 2268, 1279, 13063, 543, 811, 269, 31413, 3002, 6532, 513, 23195, 1858, 799, 568, 3648, 15911, 982, 922, 4478, 6917, 2127, 267, 513, 3781, 942, 7613, 540, 2799, 5210, 538, 519, 943, 14535, 1460, 23195, 1858, 563, 2641, 269, 26457, 10309, 8018, 4132, 6657, 7335, 31301, 6096, 454, 307, 615, 332, 10309, 6293, 547, 2268, 2837, 269, 18342, 26282, 6293, 547, 2268, 2627, 5210, 1210, 18342, 5982, 3002, 6993, 5618, 1686, 540, 2837, 6482, 3504, 1004, 941, 9308, 3222, 540, 3905, 543, 4411, 543, 4440, 1644, 2837, 676, 519, 2450, 540, 519, 3595, 2877, 267, 543, 875, 2673, 547, 1694, 267, 547, 1832, 3636, 563, 2420, 269, 10432, 4569, 6096, 20970, 454, 2304, 14316, 267, 1869, 18642, 267, 3096, 5243, 3079, 540, 29198, 547, 1832, 3636, 267, 3976, 267, 789, 666, 9305, 2837, 676, 519, 2915, 269, 1294, 4137, 269, 2419, 331, 4141, 6499, 547, 2268, 519, 2837, 540, 930, 1216, 538, 513, 581, 6033, 602, 568, 2282, 547, 922, 14495, 1448, 269, 1352, 6585, 519, 26282, 1657, 519, 2627, 540, 519, 1216, 267, 607, 3254, 538, 519, 6516, 267, 543, 6585, 621, 972, 2394, 519, 2542, 814, 11689, 1242, 563, 2537, 269, 7335, 31301, 2137, 8562, 983, 26457, 18852, 667, 11395, 4569, 918, 9917, 564, 20970, 918, 9917, 1115, 454, 2691, 2011, 1472, 519, 8546, 646, 1846, 519, 5277, 267, 519, 5277, 21040, 543, 7575, 909, 519, 8546, 269, 513, 4336, 1287, 2982, 1018, 519, 4890, 2837, 568, 269, 513, 3046, 10309, 3800, 2011, 2604, 269, 621, 6645, 596, 2436, 610, 711, 519, 2604, 568, 8375, 610, 9991, 269, 11243, 2978, 6482, 543, 519, 11973, 1062, 607, 851, 540, 741, 7422, 543, 6901, 267, 2361, 27563, 22991, 2594, 519, 7516, 540, 741, 15013, 563, 2190, 269, 5450, 878, 4569, 3400, 3272, 731, 18323, 8018, 454, 1839, 269, 11831, 335, 1046, 6480, 23660, 4569, 20970, 5623, 8018, 13268, 476, 275, 25420, 11730, 6096, 28966, 454, 5978, 6482, 3211, 2253, 609, 519, 2035, 540, 2450, 6476, 552, 3052, 269, 3476, 5288, 10156, 543, 7893, 538, 1875, 20598, 4559, 519, 15513, 568, 21971, 619, 1279, 543, 22264, 547, 7893, 3259, 267, 2597, 267, 4390, 543, 2837, 538, 22232, 543, 11973, 4559, 563, 577, 5366, 707, 3446, 3211, 713, 1895, 540, 2837, 3211, 5161, 540, 4247, 899, 2542, 519, 26282, 267, 9236, 519, 1079, 10253, 267, 27864, 519, 26282, 585, 519, 2016, 2542, 267, 7503, 689, 547, 543, 1210, 519, 1106, 27909, 267, 5751, 585, 737, 601, 9109, 4336, 24740, 547, 2446, 513, 1906, 563, 2918, 269, 6103, 27450, 4518, 16721, 15604, 6096 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 922, 8261, 1129, 269, 1411, 1616, 3267, 901, 1259, 596, 666, 2203, 875, 547, 1106, 1142, 1129, 519, 2953, 1259, 269, 3267, 1411, 949, 1287, 7618, 873, 607, 596, 1224, 602, 596, 616, 1152, 1210, 835, 1688, 1317, 596, 616, 8066, 519, 1433, 267, 855, 602, 789, 1058, 946, 1079, 3946, 563, 347, 17138, 1475, 10573, 5629, 16270, 513, 6178, 281, 4635, 1977, 6178, 5678, 547, 18918, 267, 9373, 1555, 267, 543, 17546, 2353, 5753, 2008, 347, 21812, 1475, 10573, 27398, 4211, 299, 22473, 910, 476, 1001, 271, 268, 1556, 268, 1556, 347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 9258, 4002, 13312, 6782, 1023, 263, 9795, 2187, 453, 331, 284, 6352, 263, 9795, 8358, 273, 454, 453, 1842, 284, 6352, 263, 9795, 9984, 272, 454, 22610, 1535, 538, 2039, 10857, 264, 10778, 453, 453, 9795, 20572, 6012, 343, 316, 2073, 5119, 314, 1842, 6012, 1842, 316, 815, 5119, 314, 1842, 6012, 1842, 316, 2073, 5119, 20572, 6012, 343, 2639, 453, 453, 1842, 20699, 476, 272, 454, 453, 1842, 284, 6352, 263, 9795, 9984, 272, 454, 22610, 1535, 538, 2039, 10857, 264, 10778, 453, 453, 9795, 314, 1842, 6012, 343, 316, 2073, 5119, 20572, 6012, 1842, 316, 815, 5119, 20572, 6012, 1842, 316, 2073, 5119, 314, 1842, 6012, 343, 2639, 453, 453, 1842, 20699, 476, 272, 28768, 16596, 5119, 692, 28744, 263, 516, 2091, 4002, 13312, 6782, 1023, 31912, 272, 267, 273, 267, 274, 3910, 476, 1496, 275, 267, 276, 267, 277, 3910, 567, 1496, 278, 267, 279, 267, 280, 14963, 4917, 2745, 263, 516, 2091, 4002, 13312, 6782, 1023, 263, 1496, 1496, 272, 267, 273, 267, 274, 267, 275, 316, 2073, 1496, 276, 267, 277, 267, 278, 267, 279, 316, 2073, 1496, 280, 267, 1015, 267, 1556, 267, 1321, 316, 2073, 1496, 1724, 267, 1691, 267, 1428, 267, 1626, 316, 9948, 476, 3738, 25589, 2745, 263, 516, 2091, 4002, 13312, 6782, 1023, 263, 20886, 6246, 267, 3393, 276, 267, 3953, 267, 9818, 3910, 476, 1496, 9083, 267, 280, 6434, 267, 29218, 267, 7176, 272, 3910, 476, 1496, 29616, 267, 2641, 267, 7871, 267, 5038, 3910, 476, 1496, 273, 267, 2420, 267, 3374, 267, 29720, 14963, 3738, 3738, 8528, 258, 314, 314, 4097, 267, 1911, 271, 267, 16928, 267, 27886, 267, 280, 7761, 267, 6812, 275, 3910, 476, 1496, 7176, 267, 272, 267, 4375, 279, 267, 12553, 267, 278, 7830, 267, 4792, 275, 3910, 476, 1496, 3451, 267, 5392, 279, 267, 15171, 267, 276, 6246, 267, 278, 5038, 267, 6246, 3910, 476, 1496, 31696, 267, 1321, 267, 7918, 267, 278, 5038, 267, 26116, 267, 22659, 3910, 476, 1496, 280, 2764, 267, 11820, 267, 4366, 280, 267, 10170, 267, 279, 4391, 267, 28590, 3910, 476, 1496, 11152, 267, 29218, 267, 5655, 267, 7871, 267, 10602, 267, 6246, 14963, 3738, 12467, 0, 3698, 1592, 6826, 2246, 8595, 5416, 2187, 825, 759, 815, 513, 11468, 2639, 825, 1247, 759, 543, 759, 314, 271, 316, 11203, 759, 15631, 272, 14158, 13537, 3488, 29592, 22207, 759, 994, 1038, 513, 267, 265, 637, 14720, 815, 759, 454, 13537, 3488, 12898, 22207, 759, 994, 825, 2132, 759, 692, 2745, 17338, 6826, 2246, 8595, 8443, 274, 267, 476, 275, 267, 476, 273, 267, 476, 275, 267, 476, 4343, 267, 476, 275, 267, 476, 276, 267, 476, 274, 267, 476, 273, 28413, 0, 3698, 6677, 22760, 725, 11764, 5416, 2187, 16596, 2040, 8443, 842, 19304, 3287, 264, 1341, 1193, 12169, 4297, 585, 1535, 538, 513, 585, 586, 538, 513, 316, 9239, 18411, 5814, 1770, 11687, 692, 5035, 1230, 13906, 11764, 263, 684, 8636, 652, 11053, 652, 19111, 264, 10778, 22592, 1449, 6831, 848, 272, 4311, 2187, 453, 19677, 27863, 263, 935, 13906, 523, 725, 11764, 8443, 1015, 267, 273, 25818, 16328, 275, 994, 453, 13537, 3488, 14818, 2013, 476, 272, 5293, 17210, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 10778, 453, 684, 8636, 652, 6230, 664, 4590, 18257, 692, 0, 258, 13845, 529, 345, 1187, 330, 322, 16660, 1990, 332, 1329, 807, 329, 20403, 737, 331, 1075, 345, 2012, 14255, 562, 1794, 11445, 454, 258, 272, 887, 345, 342, 27927, 534, 773, 454, 3698, 1820, 18380, 5560, 2187, 825, 585, 1883, 538, 7663, 565, 582, 912, 1038, 1820, 2891, 346, 271, 348, 281, 346, 272, 348, 2668, 8971, 31107, 267, 546, 314, 4486, 8079, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 7663, 565, 582, 815, 27835, 4067, 9166, 1412, 2692, 4370, 22779, 1038, 1412, 1440, 2763, 321, 20672, 9166, 476, 1911, 271, 2676, 1038, 1412, 6943, 9166, 1412, 335, 553, 1794, 619, 7288, 262, 10926, 2908, 318, 4486, 815, 1412, 333, 1794, 11445, 7055, 1245, 318, 4486, 815, 1412, 4067, 7055, 2908, 318, 4486, 273, 815, 1412, 20200, 7055, 1245, 318, 4486, 273, 815, 1412, 6943, 28847, 338, 600, 565, 582, 314, 2908, 318, 4486, 316, 815, 7663, 565, 582, 21014, 263, 1245, 318, 4486, 994, 338, 600, 565, 582, 314, 2908, 318, 4486, 273, 316, 815, 7663, 565, 582, 21014, 263, 1245, 318, 4486, 273, 2020, 2745, 4433, 600, 565, 582, 2020, 258, 273, 887, 345, 342, 27927, 534, 773, 692, 3698, 1820, 18380, 5560, 2187, 825, 585, 1883, 538, 7663, 565, 582, 912, 1038, 1820, 2891, 346, 271, 348, 281, 346, 272, 348, 2668, 8971, 31107, 267, 546, 314, 4486, 8079, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 7663, 565, 582, 815, 27835, 4067, 9166, 1412, 2692, 4370, 22779, 1038, 1412, 1440, 2763, 321, 20672, 9166, 476, 1911, 271, 2676, 1038, 1412, 6943, 9166, 1412, 335, 553, 1794, 619, 7288, 262, 10926, 338, 600, 565, 582, 9131, 333, 1794, 11445, 11172, 815, 7663, 565, 582, 9131, 4067, 23300, 338, 600, 565, 582, 21014, 3488, 4067, 5073, 338, 600, 565, 582, 9131, 20200, 11172, 815, 7663, 565, 582, 9131, 6943, 23300, 338, 600, 565, 582, 21014, 3488, 6943, 17210, 2745, 18380, 4433, 600, 565, 582, 994, 0, 5035, 31287, 10031, 825, 1948, 538, 713, 2013, 519, 1152, 4164, 1073, 3419, 1807, 1470, 568, 519, 9441, 11243, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 9441, 11243, 267, 3454, 291, 9254, 2388, 284, 272, 267, 29281, 1805, 9850, 6889, 338, 17532, 257, 2187, 1038, 1582, 269, 655, 1943, 2465, 11243, 815, 9441, 11243, 454, 1038, 1582, 6745, 1314, 291, 9254, 2388, 815, 3454, 291, 9254, 2388, 454, 1038, 1582, 269, 3405, 1388, 1805, 9850, 815, 29281, 1805, 9850, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 834, 346, 271, 9574, 346, 273, 9574, 346, 272, 348, 2668, 8971, 4311, 269, 655, 1943, 2465, 11243, 267, 1582, 6745, 1314, 291, 9254, 2388, 267, 1582, 269, 3405, 1388, 1805, 9850, 9239, 343, 815, 31287, 2891, 297, 5602, 344, 815, 31287, 2891, 300, 2580, 476, 273, 994, 345, 815, 31287, 2891, 30538, 2580, 29281, 1805, 9850, 6889, 3405, 3072, 5602, 1721, 533, 538, 1496, 343, 267, 586, 267, 1990, 14158, 825, 1820, 2891, 346, 271, 9574, 346, 273, 9574, 346, 272, 348, 2668, 8971, 9638, 269, 655, 1943, 2465, 11243, 267, 533, 6745, 1314, 291, 9254, 2388, 267, 533, 269, 3405, 1388, 1805, 9850, 11723, 343, 6745, 1314, 291, 9254, 2388, 815, 476, 274, 454, 1721, 533, 538, 1496, 343, 267, 586, 267, 1990, 14158, 825, 1820, 9638, 994, 0, 12248, 284, 271, 454, 8999, 815, 476, 271, 454, 6112, 1293, 2999, 1015, 912, 825, 1003, 815, 3403, 2891, 13644, 371, 27447, 24662, 12255, 29219, 281, 5602, 825, 1820, 16325, 994, 825, 1293, 815, 1293, 1341, 476, 272, 454, 825, 2040, 25507, 4433, 636, 994, 825, 1003, 25507, 16325, 994, 825, 2040, 284, 1003, 1341, 2040, 454, 2745, 2891, 25520, 20992, 2580, 8999, 2020, 0, 258, 22490, 8021, 692, 5814, 795, 5459, 454, 5814, 26417, 454, 5814, 17408, 788, 344, 454, 5814, 556, 692, 258, 25779, 281, 11814, 21984, 17408, 1115, 689, 1948, 11900, 4269, 454, 258, 18452, 338, 281, 3593, 318, 4486, 267, 3593, 26000, 4038, 267, 1569, 4671, 7505, 267, 17739, 4671, 7505, 26000, 4038, 630, 1721, 1000, 7867, 17452, 994, 258, 19243, 281, 1547, 322, 12364, 22369, 609, 17408, 1115, 692, 258, 1280, 3498, 17452, 454, 258, 3593, 318, 4486, 815, 3403, 3488, 11767, 2659, 14871, 6206, 30386, 258, 3593, 26000, 4038, 815, 3403, 3488, 11767, 2659, 14871, 10555, 30386, 258, 1569, 4671, 7505, 815, 3403, 3488, 11767, 2659, 7457, 570, 7505, 30386, 258, 1569, 4671, 7505, 26000, 4038, 815, 3403, 3488, 11767, 2659, 7457, 570, 7505, 10555, 1412, 2020, 12528, 318, 4486, 284, 834, 4840, 12528, 26000, 4038, 815, 834, 4840, 17739, 4671, 7505, 284, 834, 4840, 17739, 4671, 7505, 26000, 4038, 815, 834, 5016, 258, 901, 814, 6255, 698, 786, 581, 1948, 11900, 4269, 3177, 607, 3403, 855, 609, 713, 1505, 267, 1022, 814, 6255, 698, 666, 581, 1031, 780, 258, 814, 6255, 698, 318, 874, 19189, 815, 3403, 3488, 1432, 814, 6255, 698, 616, 596, 5461, 538, 7790, 5073, 327, 1662, 32002, 318, 874, 19189, 815, 834, 5016, 454, 258, 512, 11548, 318, 26920, 815, 3403, 18011, 1692, 1082, 17408, 1115, 1131, 596, 899, 7790, 17210, 692, 258, 1599, 602, 3217, 938, 1569, 9479, 692, 3698, 3406, 318, 1721, 20189, 1662, 15912, 263, 12528, 318, 4486, 267, 3593, 26000, 4038, 267, 17739, 4671, 7505, 267, 1569, 4671, 7505, 26000, 4038, 267, 814, 6255, 698, 318, 874, 19189, 17107, 825, 1948, 1711, 606, 1000, 7867, 17452, 1843, 267, 1210, 938, 1569, 9479, 692, 825, 6461, 6510, 815, 17408, 788, 344, 20166, 288, 3578, 21652, 2401, 263, 12528, 318, 4486, 267, 3593, 26000, 4038, 994, 825, 6461, 6510, 15630, 318, 17739, 4671, 7505, 263, 17739, 4671, 7505, 267, 1569, 4671, 7505, 26000, 4038, 2020, 825, 1948, 3399, 519, 17408, 788, 344, 589, 7032, 1934, 454, 825, 3284, 328, 815, 17408, 788, 344, 269, 4338, 296, 263, 2246, 5782, 6510, 264, 1948, 570, 933, 788, 344, 3217, 519, 17452, 1843, 585, 19027, 692, 825, 1948, 1711, 22369, 649, 786, 2328, 547, 454, 825, 15928, 307, 933, 1115, 815, 1412, 318, 8339, 21860, 263, 516, 26098, 718, 16868, 257, 258, 7268, 342, 266, 264, 2580, 814, 6255, 698, 318, 874, 19189, 264, 9239, 825, 1948, 1930, 519, 22369, 865, 607, 547, 2328, 538, 621, 454, 825, 609, 1930, 3488, 260, 338, 27406, 262, 4939, 630, 11900, 4269, 307, 933, 1115, 1070, 1412, 342, 3299, 17683, 284, 1412, 583, 325, 279, 10807, 607, 3758, 912, 1038, 1948, 299, 1115, 620, 5362, 621, 607, 2328, 454, 1038, 2328, 815, 26417, 9884, 31581, 31526, 2020, 1038, 1948, 2328, 513, 20927, 4737, 454, 1038, 2328, 9884, 31581, 578, 8443, 262, 20755, 652, 2086, 3299, 1412, 307, 11548, 26748, 3299, 1412, 639, 20713, 3299, 1412, 31742, 619, 11172, 2020, 1038, 1948, 2328, 17408, 1115, 1644, 547, 1948, 11900, 4269, 630, 528, 1022, 3177, 814, 6255, 698, 264, 547, 22369, 454, 1038, 1948, 1775, 723, 22012, 1427, 933, 1115, 267, 849, 1031, 6905, 547, 1118, 2386, 782, 1257, 568, 1459, 692, 1038, 585, 512, 11548, 538, 17408, 788, 344, 5861, 2720, 528, 263, 777, 328, 269, 14142, 267, 7117, 815, 327, 1662, 32002, 318, 874, 19189, 1341, 1412, 910, 16344, 614, 281, 4958, 933, 1115, 3299, 26444, 14030, 567, 512, 11548, 8548, 1712, 8782, 2169, 2105, 262, 1040, 19477, 263, 1220, 2567, 1948, 700, 1115, 1205, 476, 1220, 17408, 1115, 585, 1631, 267, 649, 1223, 4244, 569, 1780, 630, 339, 11548, 318, 26920, 264, 538, 1547, 19477, 10797, 2018, 1948, 3503, 547, 22369, 519, 4626, 652, 2086, 6025, 11548, 269, 920, 730, 318, 520, 1070, 519, 512, 11548, 3294, 6025, 11548, 269, 21459, 26748, 18622, 2897, 994, 2018, 1948, 634, 27024, 630, 339, 11548, 269, 12528, 4732, 10547, 12173, 269, 523, 13892, 3488, 583, 325, 268, 279, 30670, 543, 13794, 540, 945, 17408, 9643, 780, 2018, 2328, 9884, 31581, 578, 8443, 339, 11548, 269, 920, 730, 318, 520, 267, 512, 11548, 269, 21459, 26748, 18622, 2897, 28361, 333, 3299, 1412, 1412, 13211, 13376, 512, 11548, 269, 12528, 4732, 10547, 12173, 269, 523, 13892, 3488, 583, 325, 268, 279, 262, 13211, 4449, 11434, 512, 11548, 269, 12528, 8807, 4772, 619, 18045, 316, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 672, 3406, 318, 1721, 20189, 1662, 15912, 263, 12528, 318, 4486, 267, 3593, 26000, 4038, 267, 1569, 4671, 7505, 267, 1569, 4671, 7505, 26000, 4038, 267, 814, 6255, 698, 318, 874, 19189, 264, 0, 18257, 1477, 27154, 6831, 1484, 532, 7272, 31242, 7272, 31021, 1477, 3519, 591, 614, 606, 3239, 547, 513, 18920, 3239, 543, 513, 18920, 3239, 538, 3662, 15385, 2681, 3349, 5897, 300, 1228, 676, 281, 24204, 1695, 978, 31481, 1477, 274, 270, 1839, 270, 1708, 271, 5897, 8722, 601, 1863, 547, 2671, 543, 2119, 621, 1477, 18257, 1477, 5814, 21267, 28272, 607, 12301, 1477, 5814, 21267, 269, 13548, 607, 544, 335, 19112, 1477, 5814, 11885, 607, 5286, 24653, 3698, 1265, 318, 534, 2711, 6831, 1484, 532, 318, 10233, 263, 13092, 318, 10233, 8029, 825, 1948, 3662, 15385, 2681, 3349, 1477, 825, 897, 677, 762, 815, 1496, 1477, 1038, 1496, 18597, 267, 476, 5325, 267, 476, 5325, 3910, 1477, 1038, 1496, 18597, 267, 476, 14093, 267, 476, 2004, 3910, 1477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27793, 589, 6872, 273, 630, 17129, 300, 589, 6872, 273, 264, 568, 513, 1970, 18585, 267, 1164, 4222, 5374, 267, 2442, 585, 922, 4222, 269, 2060, 513, 1732, 4222, 547, 2597, 5223, 267, 589, 6872, 273, 5374, 568, 513, 2067, 1900, 909, 689, 589, 3607, 950, 811, 4222, 568, 2877, 269, 634, 2799, 4222, 540, 589, 6872, 273, 6676, 1281, 711, 14207, 519, 2848, 1564, 13811, 1006, 543, 28891, 1464, 269, 589, 6872, 273, 6676, 666, 4061, 581, 4646, 267, 7143, 4765, 267, 543, 2577, 1441, 269, 589, 6872, 273, 6103, 476, 5655, 267, 476, 4649, 267, 476, 2568, 267, 476, 4792, 13082, 1773, 919, 10557, 1723, 13082, 267, 20941, 17129, 300, 589, 6872, 273, 5374, 6676, 568, 513, 2442, 3446, 540, 1164, 3613, 31104, 1970, 22433, 1195, 630, 9391, 6369, 264, 5374, 602, 568, 3335, 1031, 538, 7293, 3156, 269, 589, 6872, 273, 5374, 3568, 3114, 23212, 602, 3986, 519, 2326, 21052, 543, 2702, 547, 7703, 2597, 267, 543, 713, 1570, 568, 17426, 3448, 547, 5374, 9344, 609, 2147, 15885, 269, 1703, 616, 2947, 1114, 454, 17129, 300, 589, 3607, 30680, 589, 14530, 30680, 589, 27543, 30680, 589, 276, 1691, 30680, 589, 6872, 273, 30680, 589, 6872, 274, 30680, 589, 277, 3451, 30680, 589, 4792, 277, 30680, 589, 3583, 280, 30680, 589, 280, 3393, 30680, 589, 6200, 272, 30680, 589, 6200, 279, 1977, 13163, 540, 1744, 6235, 16286, 7412, 623, 6559, 6008, 1564, 16286, 5510, 17060, 23305, 13082, 24110, 595, 6347, 717, 2412, 269, 2641, 269, 1724, 5489, 715, 832, 651, 7638, 26320, 24510, 1195, 1091, 19193, 13673, 476, 1911, 1839, 268, 274, 13673, 476, 6200, 5392, 268, 273, 5254, 1911, 311, 293, 5254, 8099, 311, 293, 30680, 589, 6200, 272, 1315, 589, 6200, 272, 300, 910, 476, 1240, 320, 9208, 10410, 2305, 585, 13082, 476, 273, 269, 4676, 22235, 26671, 630, 335, 21332, 14384, 264, 634, 6054, 7396, 2630, 616, 26518, 1369, 519, 1641, 3044, 855, 616, 711, 3177, 607, 851, 540, 519, 3044, 907, 30680, 11621, 269, 589, 24907, 4530, 10613, 543, 26479, 585, 20996, 13281, 540, 13082, 15733, 269, 589, 6321, 279, 12458, 6321, 279, 300, 10410, 2305, 585, 13082, 267, 16847, 267, 12539, 267, 23305, 267, 543, 4400, 21178, 31104, 267, 8899, 5025, 961, 1195, 267, 12182, 7304, 565, 1194, 543, 12019, 7304, 565, 1194, 267, 4937, 21976, 585, 30680, 589, 6200, 272, 4400, 21178, 31104, 8899, 5025, 961, 1195, 13082, 267, 17129, 300, 589, 6200, 272, 8605, 2433, 17129, 300, 589, 6200, 272, 4400, 21178, 31104, 8899, 5025, 961, 1195, 13082, 30680, 589, 6200, 272, 568, 538, 519, 9208, 10410, 2305, 585, 13082, 267, 16847, 543, 853, 8692, 267, 12182, 7304, 565, 1194, 267, 12539, 267, 23305, 267, 4400, 21178, 31104, 8899, 5025, 961, 1195, 267, 4400, 21178, 31104, 8899, 5025, 961, 1195, 609, 20865, 4813, 1464, 267, 543, 8299, 571, 6953, 662, 23848, 4586, 9802, 476, 1789, 267, 476, 1708, 271, 5788, 30680, 589, 3607, 12539, 13082, 5288, 269, 30680, 589, 6872, 273, 6103, 476, 2004, 269, 5637, 30680, 589, 3607, 3327, 5374, 543, 30680, 589, 6872, 273, 3446, 476, 2004, 616, 4401, 23212, 269, 5637, 616, 7677, 1639, 538, 519, 607, 1922, 5419, 730, 630, 7224, 2191, 610, 2126, 264, 2783, 269, 1358, 723, 513, 1360, 1164, 476, 4200, 260, 540, 741, 3328, 18585, 5888, 538, 1455, 269, 1280, 1142, 3959, 1373, 3379, 267, 519, 1283, 3046, 568, 30680, 589, 3607, 3327, 5374, 543, 519, 5377, 30680, 589, 3583, 280, 1315, 589, 3583, 280, 300, 910, 476, 1240, 9208, 10410, 2305, 585, 6103, 476, 2004, 310, 1496, 24833, 310, 3910, 610, 670, 4916, 476, 2004, 310, 1496, 295, 4916, 476, 24833, 310, 316, 4927, 711, 581, 2655, 21114, 585, 24110, 476, 3607, 2073, 476, 2004, 476, 610, 476, 2004, 306, 1496, 24833, 306, 316, 1510, 6876, 1063, 519, 4136, 6471, 543, 519, 18261, 269, 476, 272, 269, 274, 1879, 519, 5374, 568, 547, 581, 7143, 4765, 267, 621, 568, 1095, 6269, 2216, 602, 513, 13841, 5650, 5078, 585, 519, 3446, 540, 5374, 543, 5497, 946, 610, 3028, 786, 581, 8246, 269, 30680, 5025, 6200, 272, 9208, 10410, 2305, 585, 13082, 267, 16847, 543, 30680, 5025, 13301, 9208, 10410, 2305, 585, 26537, 1756, 543, 26537, 1756, 9539, 1157, 601, 32255, 13082, 17934, 267, 16847, 267, 543, 853, 8692, 585, 16242, 26751, 17632, 543, 585, 4937, 10241, 30680, 5025, 1911, 279, 9208, 10410, 2305, 585, 13082, 267, 16847, 267, 12019, 7304, 565, 1194, 267, 12539, 267, 23305, 267, 4400, 21178, 31104, 8899, 5025, 961, 1195, 267, 4400, 21178, 31104, 8899, 5025, 961, 1195, 609, 20865, 4813, 1464, 267, 8827, 10434, 2989, 267, 543, 645, 820, 454, 9802, 476, 1839, 267, 476, 1001, 279, 5788, 6168, 2974, 269, 3683, 476, 1321, 267, 1822, 30680, 4441, 7500, 11451, 269, 4347, 1441, 543, 1305, 676, 721, 267, 789, 2087, 519, 2729, 540, 6634, 1169, 1554, 269, 10395, 1441, 609, 938, 5499, 1870, 2533, 267, 789, 3986, 2773, 543, 948, 3025, 723, 6015, 538, 519, 1919, 8330, 332, 589, 6200, 272, 670, 16435, 553, 674, 476, 2004, 910, 1353, 25531, 17129, 300, 589, 6200, 272, 15101, 299, 3008, 6363, 6103, 476, 2004, 30680, 589, 6200, 272, 12458, 6200, 272, 300, 910, 645, 8042, 4065, 19672, 281, 17129, 300, 589, 6200, 272, 15101, 299, 3008, 6363, 6103, 476, 2004, 30680, 589, 6200, 272, 12458, 6200, 272, 300, 568, 835, 540, 938, 1292, 5374, 2472, 269, 4033, 982, 4195, 2504, 267, 649, 849, 723, 1804, 30680, 13632, 547, 2743, 14849, 7569, 540, 7218, 269, 634, 589, 6200, 272, 15101, 299, 3008, 6363, 6103, 476, 2004, 568, 2139, 538, 513, 9962, 3099, 540, 5546, 543, 7516, 267, 607, 824, 982, 3044, 2450, 589, 6200, 272, 15101, 299, 3008, 6363, 6103, 476, 2004, 4400, 21178, 31104, 8899, 5025, 961, 1195, 6008, 1564, 8368, 476, 272, 23531, 531, 7182, 585, 15101, 6369, 5374, 9344, 4330, 538, 30680, 16551, 14333, 12985, 7182, 267, 4939, 630, 321, 264, 30680, 7392, 610, 6167, 306, 20487, 5416, 264, 3446, 25084, 595, 631, 333, 623, 590, 13961, 9197, 15281, 19923, 966, 4033, 454, 11947, 570, 839, 850, 1773, 919, 30680, 589, 6872, 273, 6103, 476, 2004, 269, 4400, 570, 839, 850, 1773, 919, 616, 1970, 18585, 5374, 267, 799, 3132, 1164, 4222, 543, 616, 5497, 5097, 585, 2597, 5786, 267, 610, 3476, 1272, 267, 676, 1797, 540, 3152, 4222, 269, 16242, 26751, 1088, 10866, 17934, 589, 276, 1626, 6103, 476, 3583, 589, 276, 1626, 270, 3583, 568, 513, 3327, 5374, 6676, 585, 26925, 585, 19335, 3028, 543, 824, 2604, 8043, 269, 21008, 532, 13082, 17934, 24110, 763, 3327, 5374, 6676, 585, 3156, 8506, 519, 12588, 547, 1685, 896, 1164, 25774, 267, 1164, 2837, 2175, 568, 14475, 2687, 547, 7453, 30680, 4441, 269, 589, 26326, 16998, 595, 281, 1607, 3446, 3091, 9793, 4222, 4162, 2059, 609, 519, 2702, 585, 1434, 8108, 269, 898, 568, 1031, 538, 0, 763, 6418, 7997, 540, 519, 12390, 572, 1738, 13477, 729, 519, 27397, 7256, 267, 855, 922, 21471, 454, 716, 8481, 9450, 547, 519, 3345, 7256, 267, 519, 19305, 543, 519, 9721, 7256, 1932, 269, 634, 5610, 540, 713, 8832, 3148, 3459, 538, 519, 476, 279, 628, 543, 519, 476, 280, 628, 5553, 950, 519, 22374, 17260, 262, 3060, 689, 519, 2296, 543, 3943, 5032, 338, 11200, 539, 7357, 547, 8734, 326, 528, 617, 269, 1717, 267, 1483, 3486, 4123, 1705, 711, 2291, 1354, 12390, 572, 563, 763, 1686, 540, 519, 8108, 540, 519, 12390, 572, 538, 519, 476, 1321, 628, 1417, 1722, 568, 2370, 1634, 269, 634, 2012, 12390, 572, 1797, 519, 1895, 540, 22278, 269, 634, 2012, 540, 12390, 572, 7902, 538, 519, 17245, 2959, 1360, 3735, 267, 5018, 1101, 538, 476, 14695, 278, 538, 513, 26885, 9783, 676, 519, 2296, 4622, 269, 634, 27397, 7997, 267, 4758, 519, 12390, 572, 779, 4295, 1858, 538, 519, 942, 540, 519, 5664, 12698, 267, 729, 513, 5266, 4359, 3148, 267, 689, 1141, 5097, 6151, 2326, 543, 1426, 941, 29633, 883, 519, 2477, 540, 519, 4853, 2213, 4639, 269, 10326, 267, 14589, 267, 30383, 267, 10568, 543, 11308, 2264, 941, 16487, 593, 12390, 572, 779, 9635, 547, 519, 8899, 18831, 267, 4789, 543, 5333, 267, 538, 5385, 585, 6070, 267, 5958, 267, 19135, 543, 9174, 269, 901, 5010, 1062, 729, 2241, 267, 7347, 267, 855, 1360, 17866, 693, 519, 1482, 942, 269, 634, 2601, 585, 519, 6526, 1006, 540, 519, 1062, 729, 519, 3668, 540, 1533, 1852, 610, 513, 14553, 22555, 21597, 1101, 540, 782, 269, 634, 12390, 572, 1738, 13477, 729, 8806, 513, 10690, 22687, 540, 4872, 3299, 799, 678, 643, 6817, 609, 1142, 824, 269, 16840, 540, 519, 21597, 9867, 1063, 476, 3583, 543, 476, 10204, 4872, 269, 634, 4222, 540, 519, 12390, 572, 1738, 13477, 12082, 538, 1210, 519, 1482, 5010, 1062, 543, 1373, 851, 540, 519, 1482, 3540, 5314, 269, 634, 7104, 1719, 543, 519, 3540, 9318, 16133, 941, 6140, 2614, 585, 519, 5748, 540, 2178, 17604, 543, 513, 1857, 6891, 269, 898, 729, 513, 4105, 1071, 716, 532, 3196, 602, 519, 27397, 3148, 781, 4872, 941, 711, 3833, 2462, 543, 14427, 630, 18528, 5166, 689, 519, 7969, 4872, 264, 602, 1577, 873, 581, 4829, 995, 538, 519, 3486, 17535, 4123, 1256, 4805, 269, 700, 6686, 20198, 729, 519, 3854, 540, 519, 21471, 21597, 267, 1141, 519, 1101, 10198, 540, 519, 12390, 572, 729, 7036, 539, 538, 476, 13670, 277, 269, 634, 23914, 267, 519, 3090, 540, 700, 6686, 20198, 267, 2968, 519, 12390, 572, 779, 3983, 613, 2394, 519, 476, 1428, 628, 2540, 269, 9282, 519, 4123, 540, 700, 6686, 20198, 610, 519, 12390, 572, 1738, 13477, 1705, 711, 12492, 519, 1646, 1377, 6719, 676, 24131, 610, 25362, 2471, 269, 634, 2609, 540, 519, 2724, 543, 519, 30550, 3893, 6404, 782, 519, 942, 538, 519, 12390, 572, 10034, 262, 4123, 269, 2311, 519, 1482, 942, 267, 519, 5010, 3060, 540, 519, 12390, 572, 729, 519, 1101, 954, 15696, 1308, 1062, 540, 2342, 1141, 519, 2527, 4616, 2472, 941, 7856, 538, 513, 1804, 7274, 563, 8201, 476, 1015, 269, 634, 3262, 540, 20575, 538, 2342, 538, 519, 476, 1691, 628, 2540, 269, 634, 24970, 1027, 757, 540, 519, 3284, 32565, 1974, 540, 519, 3109, 2669, 18584, 1394, 547, 519, 7432, 540, 519, 476, 1724, 628, 543, 519, 476, 1691, 628, 2540, 269, 634, 3864, 2551, 781, 1297, 540, 11317, 630, 3445, 2929, 2687, 547, 519, 9193, 264, 25189, 519, 5580, 3970, 540, 519, 8876, 4390, 540, 4207, 6683, 547, 519, 4098, 540, 519, 476, 1691, 628, 2540, 269, 634, 2930, 1646, 540, 454, 698, 3472, 675, 30281, 1524, 1379, 2685, 538, 2907, 519, 476, 1724, 628, 2540, 267, 543, 519, 4411, 1974, 540, 519, 9741, 10979, 6520, 10024, 693, 519, 4098, 540, 519, 476, 1691, 628, 2540, 24395, 730, 519, 3510, 585, 1279, 267, 607, 513, 1267, 540, 1018, 519, 3864, 2551, 781, 2713, 2230, 7522, 539, 1524, 3648, 269, 634, 3345, 3864, 543, 519, 1164, 1633, 8589, 6694, 2127, 2968, 1244, 641, 4327, 269, 634, 1101, 6433, 3357, 4464, 1063, 476, 14530, 274, 543, 476, 15171, 272, 950, 519, 5354, 540, 519, 10664, 1974, 729, 4411, 543, 6632, 269, 634, 15295, 267, 519, 2804, 543, 519, 2825, 2360, 1927, 8329, 547, 519, 4098, 540, 15265, 1340, 1149, 269, 1635, 476, 16328, 271, 267, 538, 2342, 267, 538, 1082, 8846, 519, 3338, 941, 2451, 4608, 738, 17300, 267, 14356, 1317, 519, 26380, 3361, 7771, 538, 2551, 267, 14356, 1317, 540, 519, 25874, 540, 519, 2244, 267, 543, 14356, 1317, 540, 519, 9178, 540, 519, 1951, 9853, 2831, 269, 634, 896, 325, 539, 267, 5182, 1324, 3864, 2551, 1185, 1044, 4174, 5287, 676, 519, 1101, 5951, 540, 519, 20575, 609, 513, 3844, 454, 2026, 1014, 5169, 1063, 476, 16328, 278, 543, 476, 13670, 272, 269, 634, 9019, 2557, 729, 5207, 538, 519, 4872, 267, 538, 519, 3771, 321, 2293, 543, 2059, 519, 4123, 11507, 269, 634, 20575, 973, 3293, 1896, 2053, 538, 519, 2034, 3368, 540, 519, 476, 1691, 628, 2540, 543, 607, 513, 454, 14310, 2342, 4503, 835, 3791, 540, 922, 2551, 1282, 519, 476, 1691, 628, 2540, 630, 301, 12282, 14371, 269, 623, 2432, 281, 1323, 8466, 17323, 540, 2342, 267, 11062, 476, 1960, 271, 269, 476, 6642, 533, 28593, 763, 6433, 540, 519, 476, 1691, 628, 2540, 2813, 11931, 13884, 585, 27397, 3536, 269, 634, 20575, 4299, 519, 2551, 540, 519, 8899, 18831, 1152, 5594, 267, 865, 519, 3409, 585, 519, 27397, 1104, 729, 3395 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4325, 1529, 894, 11470, 538, 8479, 16989, 27140, 1107, 10289, 674, 8543, 24079, 543, 741, 17959, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 4241, 7706, 540, 23019, 5708, 267, 4481, 538, 1762, 2937, 15923, 5059, 593, 18691, 543, 13299, 267, 3226, 18912, 8941, 543, 741, 8129, 269, 1284, 786, 2263, 875, 23019, 5708, 2636, 721, 547, 4983, 3140, 6386, 998, 513, 2189, 7828, 267, 20747, 2590, 519, 3515, 1063, 1686, 267, 7242, 267, 543, 14810, 269, 1635, 7421, 1585, 5931, 267, 2984, 267, 543, 2686, 9259, 267, 649, 2832, 547, 1174, 875, 891, 5368, 614, 13133, 725, 666, 1683, 4195, 5380, 593, 2085, 6040, 8941, 1247, 2502, 4207, 3988, 780, 8893, 476, 272, 281, 20223, 4325, 1529, 894, 11470, 543, 4706, 11957, 538, 4197, 674, 8543, 24079, 692, 2414, 2253, 938, 3460, 267, 621, 781, 1898, 547, 3715, 513, 2312, 4214, 540, 23019, 5708, 269, 1306, 5018, 538, 519, 2546, 1349, 267, 23019, 5708, 4016, 547, 11964, 540, 9423, 602, 6451, 2609, 3544, 4641, 267, 1519, 16750, 267, 13777, 22618, 267, 610, 6382, 19511, 4798, 269, 901, 3376, 11008, 1436, 2882, 1896, 24848, 637, 267, 971, 607, 2257, 5708, 267, 14810, 267, 16897, 267, 14595, 1686, 267, 543, 9589, 17779, 269, 769, 6313, 18912, 8941, 1369, 519, 2796, 540, 23019, 5708, 267, 649, 1930, 6000, 909, 547, 1007, 2081, 540, 16208, 2757, 6386, 676, 6220, 28531, 2609, 543, 4101, 6671, 7326, 780, 8893, 476, 273, 281, 2349, 2056, 3778, 543, 26135, 910, 634, 3203, 540, 1412, 23208, 769, 3685, 28847, 763, 1523, 540, 1412, 7290, 5566, 8798, 10086, 799, 729, 2899, 1031, 547, 4766, 1018, 649, 1631, 1289, 23019, 5708, 267, 8711, 519, 1379, 540, 9345, 950, 1427, 2454, 3140, 2621, 543, 5515, 269, 1879, 4589, 19467, 23610, 6589, 609, 14070, 3334, 267, 789, 1711, 15138, 10600, 1141, 3988, 666, 4497, 609, 3197, 543, 5468, 3564, 519, 7687, 540, 4641, 269, 1280, 3236, 267, 9256, 5259, 10971, 899, 19067, 573, 609, 2296, 12563, 3271, 545, 9988, 899, 623, 3089, 6087, 721, 547, 5660, 519, 5203, 1275, 540, 1480, 2833, 2066, 4529, 543, 21971, 269, 11559, 1053, 547, 2992, 593, 2413, 14624, 540, 5929, 18912, 8941, 27137, 607, 27068, 7395, 340, 790, 781, 654, 17673, 3126, 11652, 2015, 875, 891, 556, 19960, 514, 902, 3565, 547, 938, 1620, 540, 3312, 2984, 543, 741, 6626, 6286, 780, 8893, 476, 274, 281, 9061, 532, 5384, 543, 6611, 910, 3955, 3667, 7081, 543, 29675, 538, 4325, 1529, 894, 11470, 692, 3080, 8037, 2460, 540, 23019, 5708, 568, 922, 2702, 547, 16637, 13796, 543, 8901, 6302, 267, 3850, 3197, 543, 2621, 689, 1114, 2053, 543, 4025, 547, 2170, 16900, 269, 6270, 954, 3667, 7081, 7512, 3988, 547, 2721, 4296, 1063, 9583, 19635, 6386, 543, 2697, 1455, 8017, 5103, 2686, 3604, 269, 9181, 1806, 6537, 689, 2442, 2528, 267, 971, 607, 18557, 781, 4173, 6047, 4670, 267, 799, 10905, 8106, 13983, 1723, 7304, 2674, 13299, 609, 1977, 1402, 2575, 2283, 4850, 269, 3958, 267, 2263, 14046, 9382, 540, 891, 14624, 547, 1732, 10146, 875, 789, 1599, 9691, 543, 15520, 780, 8893, 476, 275, 281, 12056, 12634, 10748, 7891, 3414, 25839, 24079, 692, 293, 8543, 8941, 723, 28815, 1317, 789, 2232, 15851, 4798, 543, 8471, 4145, 4143, 547, 1169, 5108, 269, 7073, 14624, 540, 5929, 8941, 4749, 10994, 1950, 1514, 2152, 267, 20872, 2565, 8086, 1851, 1762, 2937, 3988, 269, 31385, 2487, 12326, 602, 8415, 23019, 5708, 2553, 547, 2263, 3584, 899, 4008, 3961, 267, 2790, 1072, 267, 2825, 5726, 267, 543, 811, 269, 4841, 1058, 581, 9415, 547, 5659, 891, 5931, 543, 1865, 875, 3927, 789, 3666, 5132, 6888, 547, 2707, 1570, 609, 5647, 543, 10083, 547, 4207, 9458, 780, 8893, 476, 276, 281, 16792, 11879, 15154, 10341, 547, 21302, 11154, 725, 692, 2026, 6800, 540, 2923, 267, 3384, 2565, 3206, 1983, 568, 2629, 950, 10442, 12496, 540, 11537, 27825, 269, 17546, 1053, 547, 2708, 14624, 1759, 593, 2188, 971, 607, 535, 23474, 547, 2707, 1570, 267, 7145, 540, 20261, 267, 2298, 540, 1603, 267, 543, 2949, 1764, 269, 3629, 3255, 585, 1895, 5717, 543, 2854, 18759, 267, 7175, 6267, 547, 24808, 741, 4555, 827, 1808, 14624, 543, 1921, 873, 1394, 547, 3677, 7811, 10850, 8268, 2429, 519, 1576, 1770, 780, 3528, 3695, 23019, 5708, 1369, 519, 2796, 540, 1762, 2937, 15923, 267, 18691, 267, 543, 13299, 267, 1053, 2744, 3407, 4030, 883, 519, 13710, 1761, 540, 9423, 269, 1358, 1451, 547, 5660, 519, 26274, 3238, 538, 15268, 5929, 8941, 1247, 28798, 741, 10763, 5759, 543, 5807, 7279, 827, 3309, 2686, 5389, 269, 11086, 267, 713, 1702, 28382, 873, 547, 1831, 1167, 518, 940, 6800, 540, 2923, 945, 666, 6330, 519, 2479, 21608, 5251, 540, 23019, 5708, 609, 6015, 543, 15131, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 11854, 1529, 894, 11470, 630, 1001, 280, 994, 11854, 1529, 894, 5708, 568, 606, 22597, 2165, 347, 3518, 20255, 9135, 21214, 5708, 609, 1978, 2609, 602, 798, 711, 2291, 538, 519, 1483, 1158, 267, 1419, 538, 519, 2796, 540, 16750, 267, 13777, 22618, 610, 824, 19511, 4798, 563, 11854, 1529, 894, 5708, 15320, 689, 824, 2010, 540, 5708, 971, 607, 20105, 540, 1272, 543, 689, 1875, 27395, 563, 11854, 1529, 894, 5708, 607, 513, 7121, 9832, 689, 3504, 1568, 547, 1312, 17565, 19145, 543, 683, 582, 571, 6463, 1568, 540, 519, 476, 2641, 560, 2540, 563, 1103, 2351, 25086, 267, 1018, 568, 1631, 1572, 23019, 5708, 814, 5892, 1044, 17941, 834, 7290, 5566, 8798, 2580, 11321, 15925, 570, 3089, 681, 9926, 9116, 267, 834, 17730, 513, 12745, 585, 9956, 609, 8466, 11470, 2580, 9956, 22588, 569, 5292, 269, 476, 5379, 267, 3143, 269, 476, 273, 630, 11764, 1067, 267, 476, 1960, 276, 1070, 6032, 269, 476, 13136, 268, 25375, 9572, 10915, 285, 607, 950, 646, 1071, 2000, 665, 919, 23723, 1014, 16099, 1452, 639, 543, 2549, 1794, 976, 347, 8649, 7571, 1014, 10348, 26194, 8432, 3279, 267, 4789, 347, 12626, 18912, 623, 3089, 630, 332, 2814, 1108, 31206, 303, 3089, 267, 543, 4936, 13299, 31340, 2674, 5601, 19067, 573, 2066, 942, 543, 2230, 538, 519, 674, 8543, 1633, 540, 922, 8585, 8221, 1014, 27272, 9082, 347, 23389, 545, 19988, 744, 828, 517, 538, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 4317, 3163, 1315, 23205, 16161, 1299, 19088, 1108, 1315, 674, 8543, 24079, 543, 4256, 17959, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 14044, 5398, 12140, 692, 5970, 596, 2479, 4862, 540, 5691, 1857, 3506, 286, 1358, 2811, 513, 1826, 540, 1857, 1153, 1141, 596, 1451, 998, 5904, 543, 519, 4950, 256, 898, 1522, 3280, 899, 1945, 689, 513, 1414, 30235, 7260, 267, 855, 621, 781, 2965, 513, 1483, 3364, 602, 1082, 3214, 1175, 899, 596, 1205, 547, 1995, 1169, 1554, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 5575, 267, 1577, 781, 2911, 827, 1018, 2306, 513, 5691, 1857, 1153, 1114, 689, 824, 2010, 540, 3506, 269, 5502, 540, 11504, 5049, 538, 513, 2168, 2679, 609, 15032, 543, 513, 4116, 267, 596, 7390, 873, 2228, 269, 2334, 1797, 596, 666, 798, 707, 1153, 1740, 689, 1753, 267, 513, 5399, 267, 513, 6288, 267, 610, 1256, 1247, 10707, 256, 1411, 1869, 723, 513, 8430, 267, 2347, 10467, 267, 1491, 11400, 267, 543, 2170, 609, 707, 3610, 543, 8284, 1053, 1107, 3388, 568, 1175, 2944, 25274, 3079, 540, 3068, 3562, 19904, 780, 3086, 267, 4952, 2348, 1569, 547, 5215, 540, 2200, 693, 707, 31840, 269, 2060, 5691, 1857, 3506, 267, 596, 723, 519, 4316, 547, 2263, 1585, 3584, 3362, 267, 7064, 547, 2029, 269, 11334, 946, 7317, 2645, 971, 607, 7044, 267, 2592, 267, 543, 3872, 3756, 547, 1711, 2502, 4245, 269, 9578, 267, 972, 781, 1100, 991, 547, 5855, 827, 7508, 856, 593, 1514, 4205, 1317, 1034, 5691, 3506, 2709, 29599, 2238, 1932, 256, 3245, 11836, 15731, 547, 10283, 538, 2661, 669, 1846, 609, 15032, 267, 596, 786, 1628, 4296, 543, 17052, 2059, 519, 1259, 780, 4131, 781, 1413, 693, 930, 2640, 540, 11504, 513, 5691, 1857, 1153, 1384, 265, 21253, 2225, 281, 1403, 596, 7119, 538, 5026, 267, 2575, 267, 610, 824, 942, 21791, 12348, 267, 17501, 1153, 883, 707, 11112, 1272, 3587, 1454, 4443, 950, 596, 1810, 1405, 723, 547, 862, 1393, 610, 1246, 7453, 16131, 563, 265, 9608, 1242, 4804, 281, 4595, 5691, 3506, 1419, 1683, 835, 6823, 14633, 1489, 1063, 1053, 543, 3610, 267, 596, 4309, 1367, 3007, 1759, 593, 707, 2189, 2115, 543, 9342, 563, 265, 29456, 281, 4841, 945, 949, 6560, 9308, 267, 14156, 267, 610, 13998, 538, 2757, 5468, 1265, 4313, 6616, 789, 666, 1451, 9108, 1369, 741, 1378, 1604, 269, 3958, 267, 1346, 2713, 2484, 2476, 689, 4683, 2127, 1631, 723, 3160, 3255, 547, 1164, 7779, 2069, 780, 8170, 1576, 267, 1175, 899, 1022, 824, 1826, 540, 1153, 267, 5691, 1857, 3506, 849, 2097, 609, 2591, 269, 5384, 2359, 1983, 1831, 2629, 2094, 972, 3884, 1405, 2141, 2576, 22348, 596, 827, 21852, 269, 4746, 267, 3384, 2178, 2792, 6208, 5849, 1967, 950, 23712, 20716, 269, 1809, 4250, 711, 282, 891, 1983, 616, 3407, 15400, 4245, 602, 4019, 3564, 24243, 2439, 2414, 2040, 909, 267, 5691, 1857, 3506, 2099, 606, 5499, 3070, 585, 2413, 2069, 269, 1635, 8508, 2029, 267, 789, 7668, 1053, 547, 4739, 2688, 1565, 2833, 4904, 609, 8112, 267, 4763, 267, 543, 5698, 269, 1924, 1985, 942, 596, 5873, 827, 5691, 1857, 3506, 267, 3314, 875, 5863, 621, 1131, 581, 547, 7832, 593, 513, 3460, 2509, 3059, 21481, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1320, 528, 22978, 808, 269, 623, 3430, 6199, 585, 519, 590, 6033, 5816, 454, 5978, 7810, 5396, 538, 3567, 723, 519, 5207, 3328, 21842, 9170, 538, 519, 1158, 1765, 10755, 269, 3371, 568, 1946, 789, 616, 31945, 543, 1902, 538, 1977, 15334, 4255, 7498, 314, 5649, 518, 24787, 15695, 281, 12267, 689, 2475, 268, 31039, 3567, 666, 2014, 596, 547, 979, 1394, 547, 3781, 1153, 543, 513, 576, 519, 5545, 5678, 4515, 11351, 4530, 269, 901, 568, 851, 476, 274, 856, 540, 476, 275, 540, 513, 3126, 269, 1280, 811, 3567, 9710, 2928, 267, 5225, 32696, 803, 24358, 8512, 476, 274, 269, 13019, 6373, 3143, 808, 4157, 340, 2107, 281, 634, 8061, 559, 30778, 595, 1090, 12140, 563, 763, 6574, 5360, 2939, 602, 666, 581, 1500, 547, 5101, 1306, 2103, 568, 741, 2048, 2026, 1014, 2418, 9957, 7489, 2418, 616, 2083, 658, 14039, 1214, 267, 2445, 13659, 267, 543, 2648, 585, 1565, 269, 1452, 2418, 616, 3838, 676, 782, 31949, 4529, 267, 1519, 519, 4457, 267, 519, 6401, 753, 267, 543, 519, 5545, 563, 23742, 658, 14039, 1214, 1797, 602, 7820, 5481, 2463, 741, 11937, 267, 3237, 267, 3610, 267, 519, 11361, 267, 543, 782, 6392, 267, 9420, 569, 865, 269, 11814, 13659, 1797, 789, 2322, 519, 1895, 1354, 2123, 4690, 269, 11146, 585, 1565, 568, 851, 540, 25230, 534, 7881, 543, 1797, 596, 1590, 1353, 2182, 563, 297, 777, 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, 5398, 12140, 257, 607, 851, 540, 834, 3633, 24102, 1315, 12140, 1315, 9537, 1315, 5398, 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, 2878, 16215, 476, 272, 281, 4197, 12580, 540, 5395, 1190, 2657, 17148, 4373, 5331, 596, 2811, 9361, 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 ]
[ 5641, 547, 703, 454, 453, 19677, 28827, 815, 1496, 842, 9217, 264, 585, 1775, 538, 1582, 28827, 6540, 454, 453, 258, 1820, 782, 519, 1239, 8659, 538, 519, 1843, 630, 1721, 3181, 19982, 994, 22592, 1820, 20236, 263, 1582, 476, 2187, 453, 13537, 19629, 25699, 815, 14307, 1582, 8542, 267, 14307, 544, 815, 14307, 1582, 6230, 267, 27719, 333, 2580, 694, 335, 8782, 5073, 453, 22610, 1775, 538, 2039, 263, 7003, 263, 1582, 28827, 3738, 476, 2187, 4848, 13537, 263, 1582, 28827, 314, 1775, 476, 3910, 1439, 8782, 315, 339, 262, 12467, 4848, 14851, 630, 328, 266, 272, 264, 260, 1345, 8542, 2652, 476, 271, 912, 15235, 825, 1820, 19629, 333, 15419, 453, 258, 1820, 782, 519, 1239, 19942, 547, 1505, 630, 1721, 3181, 19982, 994, 22592, 1820, 26855, 263, 1582, 267, 562, 267, 544, 267, 4994, 476, 2187, 453, 14851, 7003, 263, 8161, 264, 11203, 562, 2608, 544, 912, 4848, 16596, 454, 453, 13537, 19629, 25699, 815, 14307, 562, 267, 14307, 544, 815, 14307, 544, 267, 27719, 333, 2580, 694, 335, 8782, 5073, 453, 22610, 1775, 538, 2039, 263, 7003, 263, 4994, 3738, 476, 2187, 4848, 13537, 263, 4994, 314, 1775, 476, 3910, 1439, 8782, 315, 339, 262, 12467, 4848, 14851, 630, 328, 266, 272, 264, 260, 333, 2652, 476, 271, 912, 15235, 825, 1820, 19629, 333, 15419, 453, 258, 7024, 513, 1592, 5627, 513, 20386, 20105, 689, 519, 1257, 4786, 454, 22592, 20105, 4311, 267, 1535, 2073, 586, 2073, 562, 2073, 544, 3738, 1384, 453, 453, 18257, 1535, 543, 586, 616, 519, 1376, 10974, 540, 519, 4786, 20105, 454, 4848, 453, 333, 543, 544, 616, 519, 7516, 540, 519, 1592, 547, 581, 8120, 23288, 4848, 454, 453, 453, 258, 1491, 519, 29870, 547, 1265, 1535, 543, 586, 593, 519, 4786, 3097, 453, 453, 343, 4939, 284, 1582, 8542, 454, 453, 453, 344, 4939, 284, 1582, 6230, 692, 453, 453, 258, 6952, 952, 2901, 29870, 616, 2942, 543, 952, 865, 6529, 873, 1394, 593, 519, 4786, 454, 453, 14851, 630, 1535, 2999, 476, 271, 3738, 2433, 1535, 6834, 1582, 8542, 454, 453, 14851, 630, 586, 2999, 476, 271, 3738, 2433, 586, 6834, 1582, 6230, 692, 453, 453, 258, 1305, 519, 1699, 4994, 547, 519, 1376, 4994, 2990, 454, 453, 453, 9690, 815, 630, 586, 2608, 1582, 8542, 3738, 1341, 1535, 692, 453, 453, 258, 713, 568, 1031, 547, 1265, 519, 1985, 4994, 950, 519, 1439, 540, 513, 20105, 268, 992, 568, 6603, 563, 453, 453, 18257, 798, 711, 3801, 547, 14458, 621, 676, 23545, 532, 856, 1412, 1345, 8542, 262, 1317, 621, 454, 4848, 825, 786, 4894, 519, 1412, 2260, 262, 11346, 543, 2736, 519, 3009, 23288, 453, 453, 16435, 823, 15542, 528, 815, 1582, 8542, 2608, 630, 630, 343, 266, 333, 264, 12262, 1582, 8542, 1341, 476, 272, 3738, 910, 562, 692, 453, 453, 258, 1711, 513, 1592, 547, 2132, 454, 453, 453, 333, 4289, 815, 29129, 4848, 1948, 585, 519, 3259, 540, 519, 20105, 2483, 453, 22610, 1775, 538, 2039, 263, 562, 2608, 544, 3738, 1384, 453, 672, 453, 258, 16289, 562, 4289, 609, 519, 1699, 4994, 1287, 27261, 519, 1699, 4994, 454, 4848, 453, 333, 4289, 6910, 263, 1582, 28827, 314, 1699, 9948, 12467, 4848, 453, 9690, 6834, 476, 272, 692, 4848, 453, 258, 952, 519, 4994, 16125, 519, 1439, 540, 519, 4786, 268, 992, 267, 8520, 1394, 519, 519, 1376, 540, 519, 1482, 4786, 268, 992, 454, 4848, 14851, 1699, 4939, 1582, 8542, 2652, 476, 271, 912, 15235, 453, 9690, 20699, 1582, 8542, 692, 4848, 453, 258, 952, 519, 1985, 4994, 16125, 519, 1439, 540, 519, 20105, 268, 992, 267, 1118, 2386, 621, 17787, 1394, 7157, 454, 4848, 14851, 630, 328, 266, 272, 264, 260, 333, 2652, 476, 271, 281, 1948, 1412, 328, 266, 272, 262, 568, 1031, 2864, 982, 1412, 9690, 262, 1317, 649, 616, 5461, 538, 519, 20105, 2990, 3097, 15235, 453, 9690, 6834, 20105, 15542, 528, 1948, 1412, 16435, 823, 15542, 528, 262, 568, 1031, 1934, 454, 20930, 692, 4848, 453, 258, 952, 519, 4994, 568, 856, 540, 2039, 630, 328, 4318, 1421, 1055, 519, 5377, 540, 519, 4786, 1070, 6494, 621, 1394, 547, 519, 1283, 454, 4848, 14851, 1699, 13843, 1582, 8542, 2608, 1582, 6230, 912, 15235, 453, 9690, 20699, 1582, 8542, 2608, 1582, 6230, 454, 4848, 454, 453, 16596, 562, 4289, 454, 0, 258, 22937, 334, 513, 267, 536, 552, 524, 900, 579, 2742, 13274, 3873, 721, 18372, 8237, 10797, 320, 267, 536, 267, 524, 815, 3403, 14061, 20889, 30800, 258, 935, 3200, 754, 334, 16948, 10581, 692, 320, 815, 10581, 5416, 994, 321, 815, 10581, 6357, 994, 322, 815, 10581, 6262, 9239, 258, 20412, 18372, 1106, 632, 536, 327, 2532, 4673, 7531, 604, 16733, 321, 2608, 536, 264, 910, 476, 275, 2608, 513, 2608, 524, 264, 2999, 476, 271, 610, 513, 2652, 476, 271, 269, 271, 912, 13537, 2891, 19808, 1601, 633, 331, 1608, 4788, 5602, 12828, 912, 476, 678, 272, 815, 11196, 321, 1341, 630, 321, 2878, 476, 273, 910, 476, 275, 2608, 513, 2608, 524, 264, 2878, 630, 272, 270, 273, 264, 3738, 1315, 630, 273, 2608, 513, 994, 476, 678, 273, 815, 11196, 321, 910, 630, 321, 2878, 476, 273, 910, 476, 275, 2608, 513, 2608, 524, 264, 2878, 630, 272, 270, 273, 264, 3738, 1315, 630, 273, 2608, 513, 994, 476, 1820, 2891, 305, 272, 815, 4939, 269, 276, 331, 325, 257, 4939, 678, 272, 994, 476, 1820, 2891, 305, 273, 815, 4939, 269, 276, 331, 325, 257, 4939, 678, 273, 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 ]
[ 888, 268, 476, 275, 3657, 972, 1022, 17756, 267, 607, 547, 1018, 23592, 3096, 3079, 540, 5201, 888, 268, 476, 276, 1772, 1210, 5201, 811, 6225, 982, 3154, 888, 268, 476, 277, 2052, 594, 946, 3154, 547, 5279, 513, 23592, 888, 268, 476, 278, 1548, 786, 4755, 952, 594, 2322, 3154, 538, 513, 23592, 888, 268, 476, 279, 1215, 1279, 786, 621, 1491, 547, 5279, 23592, 888, 268, 476, 280, 11588, 540, 26539, 513, 23592, 454, 268, 476, 1015, 18948, 1063, 3154, 13324, 6517, 543, 23592, 454, 268, 476, 1556, 4024, 3167, 6517, 5372, 17405, 888, 268, 476, 1321, 14174, 304, 454, 268, 476, 1724, 10390, 454, 1432, 616, 23592, 6472, 543, 875, 798, 789, 960, 888, 21156, 540, 606, 594, 4753, 630, 514, 4156, 13674, 2599, 1070, 23592, 6472, 723, 606, 3167, 5179, 602, 568, 13324, 676, 513, 1804, 16864, 23760, 6007, 3640, 269, 901, 6007, 3640, 8637, 5201, 602, 568, 6383, 676, 12123, 519, 3167, 6517, 693, 513, 12123, 6728, 610, 998, 513, 2834, 3774, 17752, 563, 307, 525, 5055, 814, 513, 3060, 540, 8111, 12737, 518, 10473, 4092, 1472, 519, 1158, 267, 799, 2709, 1164, 18286, 12123, 585, 23592, 6472, 563, 2691, 519, 9920, 3268, 593, 519, 5787, 1807, 267, 519, 3167, 5179, 17838, 519, 6740, 5201, 883, 5163, 267, 4412, 2454, 519, 1286, 4464, 563, 2710, 18806, 20393, 946, 3154, 888, 5591, 267, 23592, 1281, 711, 946, 3154, 269, 1306, 5018, 4505, 267, 23592, 6472, 616, 4628, 3167, 543, 798, 711, 723, 513, 13674, 2599, 602, 17236, 17405, 610, 1022, 824, 8093, 4492, 269, 5502, 267, 789, 7048, 593, 5201, 547, 1379, 519, 3167, 5179, 543, 1847, 519, 1286, 269, 9747, 267, 519, 2626, 547, 519, 2243, 968, 2710, 18806, 20393, 946, 3154, 9495, 568, 1100, 563, 1432, 1281, 519, 3167, 1286, 946, 547, 1379, 621, 888, 2026, 5018, 1657, 267, 23592, 6472, 616, 13324, 676, 5201, 602, 568, 6740, 538, 513, 1804, 16864, 23760, 6007, 3640, 269, 1452, 23592, 9075, 616, 9901, 1210, 513, 12123, 6728, 610, 513, 2834, 3774, 17752, 269, 23592, 814, 513, 3060, 540, 8111, 12737, 518, 10473, 4092, 1472, 519, 1158, 267, 799, 2709, 1164, 18286, 12123, 585, 23592, 6472, 563, 1103, 1840, 547, 519, 8111, 12737, 518, 3060, 267, 23592, 849, 3091, 513, 1753, 12123, 3070, 1572, 519, 9931, 4045, 528, 267, 799, 2636, 5411, 547, 5279, 741, 6472, 693, 1753, 1210, 513, 2834, 3774, 17752, 610, 513, 6131, 476, 13301, 19581, 339, 5547, 563, 6701, 972, 1022, 17756, 267, 607, 547, 1018, 23592, 3096, 3079, 540, 5201, 888, 5591, 267, 972, 616, 1100, 17756, 267, 607, 23592, 6517, 616, 711, 2808, 547, 581, 10316, 6472, 269, 2353, 23592, 6472, 616, 4628, 3167, 543, 798, 711, 946, 1022, 8093, 10173, 585, 27668, 267, 543, 798, 711, 723, 513, 4492, 7382, 563, 763, 2754, 814, 8149, 547, 6721, 1152, 3167, 6517, 267, 609, 1100, 4566, 547, 3132, 1022, 6472, 609, 2757, 4835, 13674, 9817, 543, 3136, 1210, 512, 525, 5055, 9075, 538, 519, 2104, 563, 3674, 1210, 5201, 811, 6225, 982, 3154, 888, 2467, 616, 1896, 2640, 547, 1210, 5201, 607, 513, 2707, 540, 1379, 585, 6472, 269, 17616, 267, 3167, 6517, 12520, 4642, 5434, 267, 1818, 873, 1454, 1732, 585, 519, 1604, 3379, 547, 3154, 6517, 563, 763, 2504, 540, 5201, 814, 513, 4130, 3327, 11640, 3379, 547, 519, 10868, 543, 17975, 540, 8093, 10173, 267, 543, 519, 3167, 1286, 1281, 711, 3132, 1022, 5434, 693, 519, 1448, 540, 946, 267, 3379, 547, 30740, 519, 1286, 693, 513, 3154, 6728, 563, 25821, 640, 568, 849, 3622, 14949, 982, 17405, 693, 3154, 10473, 538, 519, 1279, 2196, 267, 607, 606, 3167, 1286, 814, 1454, 2539, 5665, 3790, 563, 763, 1942, 540, 12123, 606, 3167, 6174, 568, 3335, 2539, 982, 519, 1942, 540, 11423, 513, 17405, 14617, 1286, 609, 4492, 693, 513, 3154, 6728, 267, 543, 23592, 6517, 723, 2539, 5826, 3790, 1813, 547, 741, 12863, 1374, 543, 7864, 3001, 2694, 267, 3379, 547, 513, 3154, 13324, 6174, 563, 25821, 16546, 666, 849, 581, 811, 3608, 3379, 547, 17405, 9817, 267, 607, 789, 798, 711, 7985, 689, 519, 1648, 9271, 2404, 609, 4835, 13674, 9817, 563, 4692, 594, 946, 3154, 547, 5279, 513, 23592, 888, 5591, 267, 621, 568, 711, 2009, 547, 946, 3154, 538, 513, 23592, 267, 607, 621, 1281, 711, 723, 513, 3154, 7382, 269, 23592, 6472, 616, 4628, 3167, 543, 666, 1152, 581, 9901, 1210, 5201, 269, 28055, 532, 547, 946, 17405, 538, 519, 4492, 7382, 607, 513, 4492, 2707, 585, 513, 23592, 1131, 711, 1152, 581, 23696, 855, 1223, 849, 1267, 538, 3978, 3441, 547, 519, 1286, 563, 1432, 786, 4755, 952, 594, 2322, 3154, 538, 513, 23592, 888, 19284, 3154, 6517, 267, 8380, 17405, 883, 513, 23592, 568, 711, 5227, 543, 666, 2014, 3978, 3441, 547, 519, 1286, 269, 23592, 6472, 798, 711, 723, 606, 4835, 13674, 2599, 543, 616, 711, 2966, 547, 6633, 17405, 610, 1022, 824, 8093, 4492, 267, 7429, 17405, 6517, 563, 2026, 23592, 1281, 711, 723, 513, 3154, 7382, 267, 12394, 547, 2322, 17405, 883, 513, 23592, 1223, 1267, 538, 3441, 547, 519, 1286, 779, 4492, 1062, 543, 5732, 1256, 2014, 513, 3595, 269, 898, 568, 1271, 547, 1152, 946, 5201, 547, 5279, 513, 23592, 6174, 267, 607, 1210, 1022, 824, 1826, 540, 4492, 1223, 1267, 538, 14427, 18203, 543, 5732, 1256, 10460, 513, 3106, 1981, 563, 7212, 621, 568, 4502, 4304, 267, 602, 972, 616, 6517, 602, 946, 1312, 606, 3167, 2599, 543, 606, 4835, 13674, 2599, 267, 891, 6472, 616, 1572, 10316, 6517, 563, 1692, 1279, 786, 621, 1491, 547, 5279, 23592, 888, 763, 942, 621, 3217, 547, 4628, 5279, 513, 23592, 6174, 5673, 593, 1896, 2188, 267, 1519, 519, 2450, 540, 519, 6007, 3640, 543, 519, 1826, 540, 12123, 3937, 1373, 1031, 563, 8794, 513, 23592, 8111, 12737, 518, 6728, 267, 513, 23592, 7844, 590, 610, 23592, 7844, 2473, 609, 513, 476, 1911, 737, 2662, 6007, 3640, 666, 581, 9901, 689, 8900, 547, 476, 3199, 260, 538, 827, 606, 5662, 267, 1247, 513, 23592, 1286, 540, 7844, 476, 274, 609, 513, 476, 4037, 737, 2662, 6007, 3640, 666, 581, 9901, 689, 8900, 547, 476, 3199, 260, 538, 827, 476, 3393, 3764, 563, 8794, 513, 9931, 4045, 528, 610, 824, 5426, 476, 273, 12123, 3937, 267, 519, 12123, 942, 786, 581, 3476, 267, 3335, 1472, 476, 279, 268, 1321, 3108, 585, 513, 2407, 5279, 563, 2005, 779, 1271, 547, 4063, 602, 519, 942, 621, 3217, 547, 5279, 513, 23592, 4628, 666, 4268, 1759, 593, 519, 12123, 3937, 543, 519, 6007, 3640, 779, 1533, 540, 5279, 269, 1280, 1383, 267, 12123, 513, 6007, 602, 568, 2907, 13148, 9901, 786, 1491, 1447, 942, 982, 12123, 513, 4625, 8900, 6007, 563, 19119, 540, 26539, 513, 23592, 454, 3080, 540, 519, 7887, 2640, 540, 6117, 513, 23592, 568, 602, 891, 6472, 616, 4628, 3167, 543, 798, 711, 12520, 1022, 5434, 693, 519, 1448, 540, 946, 563, 1607, 1797, 602, 789, 798, 711, 3565, 547, 2011, 5533, 543, 723, 513, 1454, 4130, 3327, 11640, 3379, 547, 17405, 14617, 6517, 563, 299, 1077, 5665, 3790, 540, 519, 3167, 6472, 454, 307, 525, 5055, 6517, 3335, 723, 2539, 5665, 3790, 3379, 547, 17405, 14617, 6517, 267, 607, 519, 1942, 540, 12123, 606, 3167, 6174, 568, 3335, 2539, 982, 519, 1942, 540, 11423, 513, 3154, 1286, 609, 4492, 269, 769, 1840, 267, 23592, 6517, 723, 2539, 5826, 3790, 1813, 547, 741, 12863, 1374, 543, 7864, 3001, 2694, 563, 307, 525, 5055, 6472, 616, 1634, 585, 741, 4359, 2029, 267, 1519, 2934, 899, 4201, 641, 559, 582, 267, 799, 2636, 585, 10859, 22052, 26127, 6117, 267, 543, 936, 7308, 25101, 3301, 10311, 602, 1039, 1007, 2934, 543, 7207, 547, 519, 1286, 563, 25821, 6472, 723, 5140, 2773, 267, 609, 8216, 18165, 3177, 676, 741, 3167, 16546, 543, 5347, 267, 9602, 5106, 563, 307, 525, 5055, 814, 513, 2178, 7029, 547, 6940, 543, 814, 16539, 8185, 538, 7791, 1648, 2959, 267, 1519, 3859, 543, 2842, 1379, 563, 21008, 2581, 1063, 3154, 13324, 6517, 543, 23592, 454, 307, 525, 5055, 3167, 6472, 630, 14110, 338, 264, 723, 1896, 5383, 936, 2757, 17405, 14617, 6517, 269, 2290, 540, 519, 1292, 2640, 540, 6117, 513, 23592, 568, 922, 2539, 5665, 3790, 563, 12234, 267, 12601, 338, 3132, 4642, 5434, 267, 1818, 873, 513, 811, 13476, 7874, 6283, 4781, 269, 1358, 849, 4043, 547, 723, 3476, 6117, 9832, 982, 1082, 824, 3154, 13324, 6517, 267, 609, 930, 3631, 2111, 547, 2951, 811, 982, 476, 4335, 5195, 593, 513, 2582, 5279, 563, 4913, 267, 585, 23592, 5411, 267, 621, 666, 581, 811, 7199, 909, 12506, 982, 17405, 6517, 267, 543, 519, 8244, 540, 12123, 10473, 949, 581, 811, 3908, 538, 1978, 2127, 563, 14454, 267, 23592, 12601, 338, 2709, 513, 1297, 540, 2640, 585, 10256, 267, 1519, 2539, 5665, 3790, 267, 2825, 3659, 17349, 267, 543, 1279, 6117, 9832, 563, 12663, 3167, 6517, 5372, 17405, 888, 2005, 568, 2693, 602, 3167, 6472, 786, 5555, 5372, 17405, 14617, 6517, 607, 519, 8789, 1106, 540, 6283, 269, 2060, 7760, 538, 2029, 543, 5989, 267, 3167, 6472, 616, 4742, 811, 543, 811, 2442, 543, 616, 4742, 513, 811, 14323, 4781, 585, 1082, 1004, 563, 25821, 6472, 616, 849, 4742, 811, 10097, 267, 609, 1082, 2477, 5356, 15314, 543, 24307, 547, 5000, 741, 10073, 563, 1103, 1840, 267, 519, 2810, 3747, 585, 6940, 543, 519, 991, 547, 2569, 3327, 5434, 568, 6117, 519, 6521, 2509, 3167, 6472, 563, 6624, 2477, 723, 1305, 16529, 9072, 547, 2569, 741, 16126, 593, 8093, 10173, 543, 5912, 547, 2973, 267, 7791, 1648, 2959, 267, 543, 519, 10073, 540, 3167, 6472, 568, 2938, 607, 513, 1883, 851, 540, 8236, 891, 3853, 563, 2710, 18806, 20393, 723, 513, 3154, 7382, 888, 5591, 267, 23592, 1281, 711, 723, 513, 17405, 7382, 269, 5502, 540, 1210, 17405, 267, 23592, 12601, 338, 616, 13324, 676, 5201, 267, 799, 568, 6740, 538, 513, 1804, 6007, 3640, 4092, 538, 519, 1286, 563, 1692, 1454, 3154, 1281, 513, 23592, 946, 888, 307, 525, 5055, 1281, 711, 946, 17405, 269, 5502, 540, 1373, 13324, 676, 17405, 267, 23592, 12601, 338, 616, 13324, 676, 5201, 454, 2710, 18806, 20393, 723, 547, 2628, 585, 3154, 888, 5591, 267, 23592, 6472, 798, 711, 723, 547, 2628, 585, 17405, 1317, 789, 798, 711, 946, 17405, 563, 1103, 3932, 267, 23592, 6472, 798, 711, 946, 3154, 543, 616, 13324, 9003, 676, 5201, 269, 4635, 5201, 607, 513, 2707, 540, 1379, 585, 6472, 814, 3875, 2640, 267, 1519, 2539, 5665, 3790, 267, 4642, 5434, 267, 543, 1732, 2773, 563, 4407, 621, 568, 711, 2009, 547, 946, 17405, 547, 5279, 513, 23592, 267, 3167, 6472, 616, 4742, 811, 543, 811, 2442, 543, 616, 2693, 547, 5555, 5372, 3154, 6517, 607, 519, 8789, 1106, 540, 6283, 563, 14454, 267, 6117, 513, 23592, 3091, 3875, 2640, 267, 1519, 2539, 5665, 3790, 267, 4359, 2029, 267, 5140, 2773, 267, 543, 513, 2318, 1764, 593, 519, 1604, 563, 4322, 2640, 1118, 6117, 513, 23592, 606, 11791, 543, 14785, 1995, 267, 543, 789, 849, 1118, 513, 15889, 9295, 547, 513, 811, 4264, 2104, 563, 2252, 596, 616, 5461, 538, 4244, 2081, 547, 5279, 513, 23592, 267, 596, 666, 1224, 827, 12123, 609, 513, 11718, 0, 19604, 1145, 532, 519, 5295, 540, 3642, 454, 9590, 814, 3532, 1761, 950, 621, 2501, 547, 7393, 14590, 267, 609, 3684, 1565, 6620, 2111, 547, 3533, 543, 8308, 3713, 17351, 3270, 267, 17351, 2534, 267, 22114, 267, 543, 856, 11502, 602, 1131, 723, 1044, 3592, 7543, 547, 3605, 1354, 269, 3642, 10276, 12574, 4066, 666, 3713, 703, 6350, 687, 610, 17351, 2238, 2066, 2789, 5121, 543, 3156, 267, 2697, 1761, 18453, 602, 814, 2760, 1044, 2938, 1354, 267, 543, 5544, 10427, 26122, 543, 26030, 2264, 6285, 563, 9590, 666, 581, 1031, 547, 2697, 543, 2149, 1996, 4642, 6377, 16426, 267, 6895, 3593, 7180, 585, 1761, 1202, 3187, 6937, 543, 948, 14540, 3922, 1047, 741, 3354, 3646, 269, 1280, 1383, 267, 14871, 543, 9980, 640, 29007, 24630, 630, 16604, 10621, 264, 3096, 3642, 547, 6895, 3593, 543, 11769, 1239, 971, 607, 17452, 20743, 267, 1062, 2238, 267, 543, 1569, 1852, 8638, 547, 3713, 19035, 2534, 269, 3973, 267, 593, 519, 824, 1688, 267, 3642, 14617, 2271, 337, 4288, 24544, 7010, 630, 10680, 264, 946, 3642, 547, 6895, 3060, 6808, 585, 19035, 3270, 543, 17351, 2238, 563, 1103, 1840, 267, 676, 3678, 908, 1978, 3157, 267, 3642, 666, 948, 2569 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 487, 419, 483, 356, 10524, 492, 16533, 493, 28996, 27962, 26406, 496, 31365, 454, 3546, 476, 273, 18998, 28859, 503, 491, 31365, 16088, 8587, 476, 28578, 23989, 12571, 491, 31699, 263, 516, 2091, 815, 6936, 264, 16088, 516, 2091, 815, 8771, 476, 23989, 419, 353, 374, 22287, 485, 31365, 5236, 376, 490, 12148, 476, 23989, 419, 353, 374, 22287, 485, 31365, 454, 3546, 476, 274, 18998, 476, 20881, 484, 31365, 27818, 9463, 491, 420, 377, 361, 24724, 16088, 28578, 23989, 12571, 491, 18622, 2091, 281, 476, 28578, 23989, 18809, 7511, 12255, 29004, 362, 10429, 357, 421, 481, 357, 9463, 491, 420, 377, 361, 454, 1363, 476, 278, 18998, 23523, 359, 27064, 363, 421, 479, 491, 31308, 484, 454, 3546, 28859, 479, 491, 31308, 484, 16088, 10524, 492, 14035, 368, 28996, 16533, 378, 28032, 507, 418, 361, 350, 476, 28578, 23989, 476, 18809, 420, 492, 371, 9463, 500, 12255, 29004, 362, 454, 4449, 672, 13127, 506, 357, 13127, 378, 359, 27064, 363, 12916, 497, 19540, 483, 421, 481, 357, 28859, 496, 486, 28098, 30006, 493, 22047, 30317, 27381, 510, 5236, 376, 490, 19867, 356, 27310, 25203, 372, 12571, 490, 7511, 418, 497, 491, 30853, 454, 3546, 13127, 506, 357, 9226, 476, 18809, 20992, 29072, 418, 493, 494, 421, 360, 502, 28578, 23989, 20001, 378, 28996, 421, 479, 491, 31308, 484, 10533, 486, 27064, 485, 8147, 4970, 497, 25426, 357, 418, 493, 494, 28032, 505, 476, 13213, 511, 28786, 21767, 28859, 479, 491, 31308, 484, 454, 3546, 585, 13127, 364, 365, 420, 25693, 14035, 509, 14395, 508, 27064, 364, 13213, 511, 28786, 2433, 585, 476, 9463, 502, 19404, 493, 27818, 421, 504, 493, 28032, 379, 27936, 18263, 487, 24724, 538, 476, 28578, 23989, 12571, 491, 16088, 454, 4449, 13376, 3267, 476, 28884, 23523, 359, 27064, 363, 7511, 418, 497, 491, 30853, 19540, 483, 14395, 373, 454, 4449, 28859, 350, 374, 31365, 7511, 10524, 492, 28578, 23989, 18809, 28032, 507, 418, 361, 350, 420, 492, 371, 9463, 500, 12255, 29004, 362, 8147, 30006, 493, 13601, 418, 361, 350, 23523, 359, 27064, 363, 13213, 485, 31801, 489, 18809, 8147, 12255, 29004, 362, 421, 25693, 25263, 504, 32517, 507, 11858, 502, 21928, 476, 9463, 502, 19404, 493, 13127, 377, 497, 18809, 692, 20701, 4067, 8217, 815, 22373, 19764, 510, 4970, 487, 2580, 834, 23521, 492, 18713, 505, 2580, 834, 27064, 489, 11590, 498, 257, 6540, 2745, 28442, 8217, 314, 271, 8079, 476, 1948, 22614, 368, 351, 19764, 499, 12916, 379, 17958, 692, 2745, 28442, 8217, 28827, 2891, 19764, 510, 4970, 487, 27363, 258, 476, 476, 32517, 362, 418, 498, 373, 454, 4067, 8217, 314, 271, 316, 815, 834, 420, 369, 369, 10429, 511, 4840, 2745, 28442, 8217, 994, 258, 476, 13127, 351, 508, 20693, 510, 454, 4067, 8217, 6910, 2891, 27064, 489, 16533, 493, 11590, 490, 5602, 4067, 8217, 27044, 263, 272, 267, 834, 16533, 493, 419, 378, 492, 419, 506, 487, 5602, 2745, 28442, 8217, 2020, 31184, 8217, 815, 22373, 11858, 503, 418, 480, 509, 419, 358, 374, 2580, 834, 419, 490, 359, 11590, 490, 417, 497, 354, 2580, 834, 418, 366, 503, 27747, 486, 19764, 509, 31116, 4067, 8217, 269, 2169, 754, 6025, 11391, 8217, 994, 2745, 28442, 8217, 994, 258, 476, 476, 10254, 510, 30522, 353, 454, 4067, 8217, 31927, 2891, 420, 369, 369, 10429, 511, 5602, 2745, 28442, 8217, 2020, 4067, 8217, 21014, 4590, 2745, 28442, 8217, 994, 4067, 8217, 21014, 263, 274, 994, 2745, 28442, 8217, 2020, 23437, 2012, 8217, 314, 272, 2639, 2745, 28442, 8217, 2020, 4067, 8217, 269, 27234, 4590, 2745, 28442, 8217, 2020, 258, 476, 476, 14756, 509, 18777, 350, 454, 4067, 8217, 815, 22373, 19764, 510, 4970, 487, 2580, 834, 420, 369, 369, 18713, 505, 2580, 834, 27064, 489, 11590, 498, 2580, 834, 19764, 510, 4970, 487, 31116, 4289, 318, 6352, 815, 7003, 28442, 8217, 994, 2745, 2891, 28578, 23989, 18809, 25060, 483, 12571, 360, 7511, 30317, 27381, 510, 16088, 260, 323, 257, 4939, 1592, 318, 6352, 2020, 12248, 815, 2012, 8217, 29644, 2891, 19764, 510, 4970, 487, 5602, 2745, 2891, 19764, 510, 4970, 487, 24731, 27064, 364, 29072, 16088, 260, 323, 17276, 361, 350, 257, 4939, 1293, 2020, 258, 476, 17276, 492, 496, 31365, 454, 4067, 8217, 815, 22373, 19764, 510, 4970, 487, 2580, 834, 420, 369, 369, 18713, 505, 2580, 834, 27064, 489, 11590, 498, 2580, 834, 27064, 489, 16533, 493, 11590, 490, 31116, 11133, 8217, 815, 1496, 277, 267, 476, 279, 267, 476, 276, 267, 476, 272, 267, 476, 1015, 267, 476, 736, 267, 476, 1556, 2639, 258, 13127, 491, 485, 31365, 454, 4067, 8217, 31699, 4590, 11133, 8217, 31699, 4590, 2745, 16325, 8217, 994, 2745, 28442, 8217, 994, 258, 476, 28859, 503, 491, 31365, 454, 4067, 8217, 31699, 263, 516, 2091, 18989, 994, 11133, 8217, 31699, 263, 516, 2091, 18989, 994, 2745, 28442, 8217, 994, 2745, 16325, 8217, 994, 258, 476, 476, 20881, 484, 31365, 27818, 9463, 491, 420, 377, 361, 24724, 454, 4067, 8217, 18622, 2091, 4590, 11133, 8217, 18622, 2091, 4590, 2745, 28442, 8217, 994, 2745, 16325, 8217, 2020, 258, 476, 476, 13213, 511, 28786, 421, 479, 491, 31308, 484, 692, 4067, 8217, 815, 22373, 19764, 510, 4970, 487, 2580, 834, 23521, 492, 18713, 505, 2580, 834, 27064, 489, 11590, 498, 31116, 1721, 1250, 12173, 538, 2012, 8217, 912, 825, 1820, 2891, 16043, 495, 7511, 12571, 491, 21211, 9463, 360, 16088, 260, 338, 257, 4939, 1250, 12173, 994, 0, 992, 815, 476, 272, 454, 6112, 4737, 10922, 476, 280, 912, 825, 897, 815, 476, 272, 454, 825, 1247, 897, 10922, 4737, 912, 1038, 1948, 1820, 2891, 265, 2580, 1439, 284, 3269, 994, 1038, 1267, 815, 4737, 2608, 897, 454, 1038, 1820, 2891, 260, 323, 2608, 4939, 323, 815, 4939, 323, 257, 4939, 630, 3712, 267, 4737, 267, 1267, 1070, 1439, 6889, 315, 339, 5602, 1038, 897, 6834, 476, 272, 454, 825, 1948, 1820, 2891, 260, 323, 257, 4939, 4737, 994, 825, 1820, 2891, 5602, 825, 4737, 6834, 476, 272, 454, 12163, 420, 377, 361, 18263, 487, 21211, 31033, 912, 672, 1422, 339, 2433, 567, 13127, 506, 357, 26406, 356, 10254, 370, 9463, 364, 27447, 24731, 22047, 476, 10254, 370, 23989, 31033, 8147, 22287, 493, 20693, 358, 21928, 27447, 24731, 24757, 10951, 361, 28793, 13127, 508, 480, 25203, 368, 25913, 12571, 495, 476, 32517, 507, 418, 490, 479, 28098, 421, 377, 494, 454, 672, 1422, 333, 2433, 567, 13127, 506, 357, 26406, 356, 10254, 370, 9463, 364, 27447, 24731, 22047, 17276, 491, 351, 27310, 31033, 454, 672, 8607, 453, 9463, 491, 13161, 506, 23521, 510, 31033, 9463, 371, 454, 672, 1422, 262, 453, 22287, 499, 19764, 499, 9463, 371, 454, 672, 1422, 257, 453, 9463, 490, 19764, 499, 9463, 371, 454, 672, 1422, 320, 453, 417, 497, 491, 421, 497, 481, 454, 672, 1422, 321, 453, 20881, 478, 21550, 376, 16360, 2931, 10628, 994, 672, 1422, 1822, 453, 419, 358, 374, 454, 672, 1422, 333, 453, 29004, 351, 27310, 454, 672, 1422, 341, 453, 419, 374, 369, 12571, 495, 10254, 370, 23989, 31033, 454, 672, 1422, 339, 453, 418, 357, 359, 12571, 495, 10254, 370, 23989, 31033, 454, 672, 1422, 337, 453, 18713, 508, 420, 377, 355, 454, 672, 1422, 325, 453, 29004, 351, 421, 350, 369, 454, 12163, 258, 1820, 2891, 272, 29146, 476, 273, 29146, 476, 274, 5602, 258, 1820, 2891, 1015, 29146, 476, 736, 29146, 476, 1789, 5602, 258, 1820, 19629, 257, 31435, 315, 257, 31435, 5602, 0, 5228, 5049, 1104, 4658, 454, 5228, 7333, 1723, 1104, 2542, 267, 6119, 8266, 454, 5228, 4351, 1104, 28219, 842, 454, 5228, 2588, 2812, 269, 583, 2812, 1104, 524, 335, 325, 11749, 9179, 267, 4757, 11749, 9179, 267, 6049, 11749, 9179, 692, 6112, 6936, 912, 825, 1820, 3488, 815, 2525, 284, 21957, 17129, 4629, 306, 16692, 623, 8577, 302, 3008, 815, 2525, 284, 5073, 825, 1820, 2891, 3269, 454, 825, 476, 272, 910, 20017, 770, 32057, 454, 825, 476, 273, 910, 700, 518, 454, 825, 476, 274, 910, 590, 1515, 454, 825, 5727, 994, 825, 1566, 815, 703, 9272, 3488, 14707, 924, 647, 320, 1965, 3712, 3873, 281, 1412, 4917, 825, 1820, 3488, 13117, 7529, 4499, 2525, 284, 5073, 825, 952, 1566, 2652, 476, 272, 912, 1038, 7329, 815, 28219, 842, 263, 1911, 876, 267, 476, 15886, 4200, 994, 1038, 2012, 815, 1193, 9272, 3488, 14707, 924, 694, 340, 562, 727, 281, 1412, 26895, 29328, 14061, 21639, 4590, 1038, 1032, 815, 703, 9272, 3488, 14707, 924, 647, 320, 7329, 1228, 281, 1412, 4917, 1038, 1247, 6936, 912, 2018, 524, 335, 325, 815, 1193, 9272, 3488, 14707, 924, 694, 340, 8713, 293, 281, 1412, 4917, 2018, 952, 524, 335, 325, 11749, 9179, 6262, 335, 325, 2187, 3546, 1820, 3488, 9573, 293, 966, 5451, 331, 18480, 256, 5073, 3546, 2736, 454, 2018, 3116, 912, 3546, 1820, 3488, 9573, 293, 12833, 5451, 331, 18480, 267, 2007, 924, 18051, 3512, 324, 256, 5073, 1038, 1153, 815, 1193, 9272, 3488, 14707, 924, 647, 320, 1965, 3712, 541, 573, 1228, 281, 1412, 26895, 29328, 14061, 21639, 4590, 1038, 1247, 6936, 912, 2018, 4757, 815, 1193, 9272, 3488, 14707, 924, 694, 340, 4757, 281, 1412, 26895, 29328, 14061, 21639, 4590, 2018, 952, 4757, 11749, 9179, 263, 16942, 2187, 3546, 1820, 3488, 10387, 841, 966, 5451, 331, 18480, 256, 5073, 3546, 2736, 454, 2018, 3116, 912, 3546, 1820, 3488, 10387, 841, 12833, 5451, 331, 18480, 267, 2007, 924, 18051, 3512, 324, 256, 5073, 1038, 1247, 6936, 912, 2018, 6049, 815, 1193, 9272, 16868, 262, 291, 580, 924, 694, 340, 1003, 3266, 632, 7658, 325, 821, 270, 4897, 983, 281, 1412, 4917, 2018, 952, 6049, 11749, 9179, 263, 7483, 2187, 3546, 1820, 3488, 17490, 966, 5451, 331, 18480, 256, 5073, 3546, 2736, 454, 2018, 3116, 912, 3546, 1820, 3488, 17490, 12833, 5451, 331, 18480, 267, 2007, 924, 18051, 3512, 324, 256, 5073, 1038, 533, 612, 10394, 815, 4658, 263, 573, 267, 2012, 267, 1032, 267, 524, 335, 325, 267, 1153, 267, 4757, 267, 6049, 994, 1038, 533, 612, 10394, 6983, 611, 770, 32057, 4590, 825, 8640, 1566, 2652, 476, 273, 912, 1038, 1820, 3488, 15871, 262, 265, 736, 994, 1038, 1820, 3488, 8266, 320, 632, 547, 323, 657, 15259, 818, 638, 643, 657, 256, 5073, 1038, 6119, 8266, 4590, 1038, 1820, 3488, 15871, 262, 265, 736, 994, 1038, 1224, 815, 1193, 9272, 3488, 323, 3150, 10937, 561, 518, 522, 20017, 770, 549, 632, 844, 655, 281, 1412, 26895, 29328, 14061, 21639, 4590, 1038, 2542, 263, 1348, 994, 825, 8640, 1566, 2652, 476, 274, 912, 1038, 1820, 3488, 302, 1962, 580, 5964, 10652, 334, 694, 340, 20017, 770, 549, 256, 5073, 1038, 2736, 0, 18411, 17138, 281, 1449, 318, 8117, 27971, 18258, 454, 14630, 281, 5988, 476, 278, 267, 476, 1708, 272, 454, 24309, 676, 281, 6341, 13183, 320, 2098, 20810, 10458, 454, 20373, 281, 18873, 519, 3252, 538, 7735, 6958, 15635, 18258, 269, 570, 1389, 513, 4971, 1899, 4661, 834, 31728, 257, 610, 834, 1194, 257, 547, 14574, 799, 454, 10818, 547, 1449, 269, 21964, 13382, 22473, 8930, 476, 280, 547, 1449, 10896, 267, 13382, 22473, 8930, 476, 1839, 547, 1449, 29502, 2046, 563, 18257, 692, 5228, 942, 1104, 3207, 454, 5814, 7735, 6958, 15635, 607, 536, 325, 454, 5814, 19523, 692, 8578, 15630, 1575, 10797, 258, 4530, 7735, 2046, 454, 604, 19523, 27769, 341, 314, 272, 316, 2652, 834, 31728, 13426, 825, 2119, 912, 1038, 1247, 6936, 912, 2018, 642, 1023, 815, 536, 325, 18667, 318, 31728, 4590, 2018, 1820, 263, 10094, 314, 271, 7481, 2018, 952, 642, 1023, 314, 271, 316, 2652, 6936, 912, 3546, 1820, 2891, 19669, 7735, 20399, 10590, 2020, 825, 4849, 6206, 4580, 11328, 4533, 912, 1038, 536, 325, 269, 30236, 1575, 10797, 258, 4530, 10896, 18044, 454, 19197, 19523, 27769, 341, 314, 272, 316, 2652, 834, 1194, 13426, 825, 2119, 912, 1038, 1247, 6936, 912, 2018, 536, 325, 269, 4148, 1662, 318, 1194, 8443, 12148, 267, 6936, 267, 6936, 267, 6936, 267, 6936, 7481, 2018, 3207, 263, 1220, 11850, 2018, 536, 325, 269, 4148, 1662, 318, 1194, 8443, 16178, 267, 8771, 267, 8771, 267, 8771, 267, 8771, 7481, 2018, 3207, 263, 1220, 32007, 825, 4849, 6206, 4580, 11328, 4533, 912, 1038, 536, 325, 269, 30236, 1575, 10797, 12828, 912, 825, 1820, 2891, 1103, 20777, 1449, 4534, 14574, 1412, 31728, 262, 610, 1412, 1194, 262, 15419, 0, 5814, 4351, 692, 3698, 5173, 30360, 6262, 1841, 2187, 825, 952, 2040, 6262, 1841, 264, 2652, 476, 2641, 543, 7003, 6262, 1841, 264, 2652, 476, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9082, 538, 4516, 779, 11848, 729, 811, 3573, 543, 4505, 982, 1101, 5156, 267, 2687, 547, 2487, 15456, 2963, 563, 4002, 519, 2842, 344, 6316, 540, 4986, 281, 31557, 538, 519, 3345, 9533, 2622, 454, 4415, 513, 1445, 2390, 519, 10787, 4141, 11866, 267, 19360, 543, 23529, 267, 24910, 29885, 786, 1459, 513, 2824, 2239, 540, 2250, 543, 2487, 12591, 267, 15456, 679, 11431, 543, 3621, 1382, 7282, 519, 25245, 11175, 540, 519, 3345, 9533, 563, 1103, 519, 3723, 25074, 540, 519, 25245, 5443, 454, 2005, 729, 513, 2244, 609, 7899, 540, 3255, 950, 519, 25655, 661, 20891, 519, 4414, 12306, 538, 23529, 936, 476, 1911, 271, 1296, 3516, 269, 0, 763, 18751, 2267, 857, 622, 30301, 568, 835, 540, 519, 2101, 11689, 1944, 28587, 538, 519, 12597, 269, 898, 568, 513, 2178, 18052, 899, 2497, 4092, 538, 519, 4099, 540, 519, 12597, 4881, 689, 519, 3185, 584, 547, 519, 512, 28992, 269, 1879, 713, 30301, 17229, 19890, 267, 621, 1281, 711, 12115, 543, 1419, 5012, 547, 519, 4743, 540, 16132, 538, 519, 12597, 563, 8070, 7845, 2267, 857, 622, 30301, 630, 303, 12710, 1070, 835, 540, 2185, 2101, 28587, 540, 519, 12597, 616, 13883, 693, 519, 1394, 540, 519, 12597, 269, 898, 13462, 519, 25427, 14752, 630, 325, 655, 584, 264, 547, 519, 695, 514, 14752, 630, 339, 28992, 1040, 634, 7193, 299, 7182, 519, 18807, 5163, 540, 519, 695, 514, 14752, 563, 19675, 518, 6997, 5300, 25608, 454, 763, 13105, 4745, 568, 513, 3440, 543, 23094, 4745, 269, 589, 1412, 4252, 262, 693, 519, 1283, 540, 519, 5580, 6186, 5642, 630, 1492, 1208, 518, 639, 264, 13352, 28426, 883, 513, 1412, 338, 12714, 3299, 1572, 519, 1350, 31734, 267, 799, 568, 851, 540, 519, 13105, 16405, 630, 2675, 777, 3121, 1040, 634, 2978, 5300, 568, 513, 8258, 540, 32248, 20162, 4478, 519, 1350, 31734, 267, 799, 2337, 538, 11689, 1944, 519, 13105, 4745, 269, 634, 22833, 10134, 25688, 568, 7923, 3330, 519, 13105, 4745, 693, 519, 9120, 2978, 5300, 540, 519, 4745, 269, 0, 268, 5131, 2763, 719, 11690, 454, 10403, 2763, 11690, 338, 616, 15841, 593, 519, 9018, 3774, 540, 519, 2599, 269, 1452, 616, 18585, 10824, 602, 13021, 9475, 538, 519, 2599, 781, 4835, 9023, 9055, 269, 1879, 16213, 519, 2599, 3625, 267, 4835, 28633, 616, 4371, 538, 1747, 3842, 891, 9475, 543, 1310, 2504, 519, 7452, 543, 20836, 902, 616, 6569, 689, 519, 9023, 9055, 269, 1323, 3606, 5413, 568, 602, 950, 519, 3579, 656, 1863, 8240, 630, 15290, 519, 30624, 872, 2763, 1377, 568, 1932, 1970, 1070, 891, 10824, 666, 19068, 547, 4773, 269, 634, 9023, 9055, 666, 3976, 581, 6870, 1996, 18015, 267, 1317, 519, 2604, 540, 519, 13792, 9023, 1216, 9060, 922, 1259, 856, 269, 901, 5413, 814, 2016, 621, 519, 2012, 834, 16451, 2763, 3247, 2668, 1717, 267, 621, 666, 3006, 979, 4636, 602, 519, 3625, 1869, 18015, 1813, 547, 16171, 269, 634, 30624, 872, 2763, 1543, 540, 519, 3579, 656, 568, 1287, 1454, 1932, 1970, 267, 610, 621, 568, 1813, 547, 606, 5393, 4411, 2916, 269, 6423, 1934, 811, 1344, 827, 30624, 872, 2763, 267, 610, 6599, 22005, 28340, 563, 763, 19319, 540, 513, 19068, 3247, 568, 602, 789, 3006, 1376, 547, 13451, 269, 15346, 656, 1287, 8255, 856, 610, 30012, 609, 519, 2599, 3282, 269, 1358, 616, 2356, 2653, 547, 5372, 14384, 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 ]
[ 855, 649, 3207, 21066, 267, 952, 693, 782, 267, 950, 649, 4250, 602, 12217, 786, 9224, 883, 519, 17895, 269, 634, 12105, 3069, 2491, 519, 3604, 538, 3207, 1851, 7068, 269, 4208, 798, 7314, 267, 585, 3236, 267, 3207, 865, 1454, 267, 1247, 9640, 3207, 865, 2370, 286, 17610, 569, 7314, 798, 711, 991, 2947, 2053, 607, 1454, 7816, 543, 11808, 607, 9640, 798, 269, 1809, 7314, 666, 6488, 547, 723, 1279, 5712, 540, 538, 13808, 1317, 789, 6108, 2370, 942, 4189, 543, 616, 12691, 547, 581, 16091, 1247, 789, 3207, 269, 32130, 1590, 6108, 3592, 782, 741, 24971, 3108, 4189, 267, 1317, 1018, 789, 3548, 568, 1360, 1970, 538, 1648, 1871, 269, 5047, 267, 789, 3112, 6488, 547, 3207, 1932, 1279, 610, 1932, 7184, 267, 1317, 741, 6668, 5673, 593, 741, 2702, 547, 2196, 2476, 689, 31487, 269, 12472, 814, 23553, 812, 547, 3207, 693, 3781, 30109, 547, 948, 1864, 567, 9041, 476, 4586, 288, 269, 1832, 909, 513, 2834, 4806, 540, 1272, 454, 289, 269, 2061, 8373, 602, 2501, 3168, 585, 1864, 454, 290, 269, 2057, 8594, 543, 28537, 4074, 454, 291, 269, 11177, 1010, 15629, 3252, 454, 12585, 281, 595, 0, 288, 16336, 19557, 547, 24138, 2911, 827, 875, 5676, 1441, 646, 729, 547, 1205, 476, 277, 3640, 2612, 269, 476, 24138, 729, 10583, 540, 5128, 269, 0, 9223, 281, 634, 6426, 6645, 540, 476, 274, 8797, 2367, 9683, 4906, 1310, 1010, 4332, 267, 855, 538, 799, 540, 519, 717, 28145, 1281, 713, 2408, 888, 12585, 281, 1319, 599, 0, 2691, 513, 4049, 4365, 4485, 15117, 568, 2656, 547, 10332, 741, 1920, 543, 2828, 1247, 25014, 3821, 15991, 711, 1182, 269, 1411, 949, 2161, 15117, 568, 513, 18762, 1268, 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 ]
[ 11728, 267, 5181, 476, 1240, 628, 306, 1495, 599, 267, 5181, 476, 2190, 628, 1269, 279, 307, 23147, 5522, 919, 524, 8686, 32576, 659, 578, 324, 2131, 2593, 454, 5472, 540, 721, 1616, 547, 9684, 596, 267, 938, 12595, 5561, 267, 945, 723, 6829, 741, 2295, 325, 3881, 1134, 2914, 8460, 267, 7873, 565, 1878, 267, 543, 8823, 269, 31929, 779, 814, 1044, 513, 4077, 331, 2714, 525, 6807, 9872, 2094, 476, 2735, 278, 282, 649, 3580, 4413, 596, 782, 563, 273, 5181, 476, 736, 1107, 2918, 267, 476, 1708, 274, 524, 268, 6807, 2593, 3068, 1504, 2593, 11305, 6807, 269, 15553, 569, 8496, 11143, 634, 19846, 331, 19294, 4953, 5990, 26827, 30600, 11083, 5990, 24315, 32767, 5508, 670, 6865, 2464, 744, 6311, 15477, 2207, 476, 278, 268, 279, 1299, 744, 6311, 15477, 2207, 476, 1691, 268, 1428, 9501, 305, 5058, 595, 12767, 298, 2098, 12778, 595, 4629, 7704, 4629, 4696, 306, 267, 22622, 476, 26631, 5655, 11354, 290, 9127, 4649, 2593, 1923, 476, 275, 4097, 268, 279, 1724, 268, 2568, 279, 273, 26827, 5085, 16998, 13263, 20525, 2894, 5058, 31929, 779, 7849, 16639, 568, 14656, 5181, 476, 1789, 267, 1310, 476, 3607, 1296, 540, 3246, 4077, 331, 2714, 525, 6807, 530, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 6520, 540, 16709, 543, 4706, 8177, 593, 3163, 257, 607, 851, 540, 834, 16300, 13493, 1315, 3163, 1299, 7186, 1315, 3778, 540, 3163, 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, 280, 281, 700, 31099, 17563, 17889, 910, 589, 18043, 13979, 1369, 17305, 565, 28640, 1108, 692, 296, 269, 4985, 692, 763, 1480, 561, 28449, 4249, 513, 2565, 1909, 538, 1585, 1898, 3252, 971, 607, 7244, 267, 6340, 267, 543, 24948, 269, 3683, 942, 267, 2619, 3098, 7133, 713, 1950, 2497, 949, 8451, 1813, 547, 22787, 2188, 267, 8194, 267, 3968, 267, 610, 683, 6955, 14901, 269, 9182, 267, 891, 2175, 28173, 7463, 7459, 602, 8190, 6099, 10342, 1247, 19086, 1761, 21693, 573, 885, 269, 901, 3184, 12538, 883, 519, 6946, 7706, 540, 561, 31099, 5943, 6391, 630, 299, 12396, 1070, 10771, 922, 4644, 1369, 17333, 565, 28640, 1108, 2259, 269, 1635, 3695, 3140, 8658, 267, 4207, 2553, 267, 543, 2104, 8846, 267, 3988, 786, 2744, 513, 7096, 7071, 585, 713, 10427, 7449, 2133, 1399, 780, 2862, 269, 26277, 13929, 25043, 692, 6524, 25054, 593, 938, 4901, 827, 700, 12396, 267, 621, 568, 2629, 1101, 547, 3715, 26715, 13210, 7533, 547, 26762, 519, 16082, 2404, 609, 1766, 894, 4485, 269, 634, 561, 28449, 666, 581, 5258, 883, 1614, 4525, 281, 24101, 4048, 331, 2714, 529, 267, 1350, 2714, 529, 267, 543, 1016, 6921, 2714, 529, 269, 3962, 3148, 13408, 2189, 7047, 559, 698, 29532, 3889, 267, 16757, 3334, 267, 543, 11940, 657, 531, 13274, 902, 4105, 585, 741, 9757, 12214, 5107, 269, 5015, 267, 7961, 3569, 3270, 676, 1312, 10444, 543, 5179, 13285, 3565, 3648, 547, 519, 2949, 8647, 540, 519, 561, 28449, 269, 4197, 891, 4909, 3344, 2636, 23262, 547, 21825, 2232, 2619, 3098, 1247, 10893, 1775, 520, 4088, 545, 4539, 780, 7656, 269, 8466, 21126, 692, 30399, 267, 561, 31099, 23361, 723, 7960, 14320, 2094, 3504, 12977, 262, 25229, 21747, 8942, 693, 5883, 3413, 12787, 687, 899, 979, 527, 619, 543, 1193, 573, 528, 269, 1717, 267, 2413, 700, 12396, 15244, 922, 5072, 1394, 547, 519, 2038, 476, 736, 628, 2540, 950, 21722, 23262, 971, 607, 4258, 1998, 1512, 12722, 2919, 5499, 1439, 25646, 7405, 543, 2553, 269, 1452, 7760, 19658, 811, 5730, 21904, 543, 6098, 9354, 7459, 267, 7551, 30507, 519, 2361, 540, 561, 28640, 1108, 269, 4653, 267, 700, 12396, 13315, 3875, 5773, 6322, 693, 19620, 1599, 543, 7393, 2298, 540, 1272, 585, 2550, 7092, 689, 3309, 561, 31099, 2619, 3098, 780, 4353, 269, 12634, 9828, 538, 700, 12396, 692, 288, 269, 9537, 540, 700, 12396, 692, 28757, 700, 12396, 2882, 1896, 2010, 540, 23361, 2966, 547, 3077, 1808, 2619, 3098, 269, 2368, 1455, 3283, 616, 1384, 272, 269, 7392, 594, 16815, 549, 680, 7360, 281, 4746, 1634, 607, 31443, 1436, 16815, 549, 680, 7360, 267, 713, 5650, 3322, 14694, 12761, 540, 519, 18751, 862, 1170, 675, 2509, 4571, 1467, 267, 3976, 5355, 1350, 2714, 545, 19479, 1282, 13093, 566, 269, 898, 568, 5097, 8612, 585, 796, 10561, 13047, 16784, 26900, 4611, 689, 14715, 7063, 610, 1775, 520, 4088, 545, 3123, 563, 273, 269, 7392, 4083, 16815, 549, 680, 7360, 281, 12833, 6295, 17911, 1065, 3789, 532, 540, 519, 13047, 1184, 267, 1826, 4083, 16815, 549, 680, 7360, 9607, 5887, 14152, 13093, 566, 543, 513, 787, 1084, 1355, 740, 9134, 19518, 1419, 11402, 538, 24845, 13047, 16784, 26900, 563, 274, 269, 700, 31099, 556, 4883, 3569, 281, 13139, 1242, 15866, 585, 8156, 20443, 561, 31099, 8229, 25097, 625, 267, 561, 31099, 556, 4883, 3569, 14122, 22151, 6198, 27090, 2609, 5196, 3954, 969, 730, 6091, 547, 11177, 28772, 11043, 2534, 7930, 563, 275, 269, 589, 787, 1084, 1355, 740, 9134, 270, 629, 9134, 281, 28294, 1637, 540, 513, 787, 1084, 1355, 6384, 3029, 1776, 1713, 2460, 540, 700, 12396, 269, 13689, 2390, 5817, 2619, 3098, 267, 23262, 949, 1904, 585, 2901, 740, 9134, 630, 6247, 9689, 264, 610, 705, 9134, 630, 10339, 6416, 264, 18902, 951, 547, 11126, 25312, 11707, 543, 21350, 6005, 4162, 563, 276, 269, 700, 31099, 1579, 1111, 7816, 281, 5556, 523, 1388, 22114, 899, 561, 31099, 1579, 30835, 3747, 22111, 10411, 10614, 2994, 5473, 1617, 559, 599, 1229, 5008, 999, 540, 26843, 10851, 1063, 561, 31099, 543, 943, 31099, 12415, 780, 289, 269, 13880, 673, 22604, 692, 15703, 10551, 4485, 2291, 1369, 700, 12396, 267, 1142, 9306, 3982, 5383, 543, 2591, 4470, 2390, 519, 2470, 540, 519, 2783, 1373, 9619, 269, 28871, 6964, 2409, 1331, 1930, 267, 1439, 25646, 267, 543, 18951, 29374, 23857, 269, 7046, 4485, 1683, 1463, 14839, 543, 28241, 5955, 267, 3850, 585, 8476, 8856, 282, 2705, 267, 789, 616, 2404, 609, 2799, 1045, 553, 4369, 543, 2022, 10869, 6051, 2053, 269, 7736, 25646, 2553, 2709, 4389, 24896, 543, 18334, 973, 10967, 566, 5712, 855, 2154, 4359, 31627, 543, 6791, 269, 29790, 268, 13774, 7757, 7459, 2099, 5969, 12967, 2029, 5356, 1164, 12413, 6873, 11052, 267, 12152, 528, 19288, 267, 543, 5163, 18440, 7207, 267, 4352, 3908, 688, 10364, 5955, 3788, 606, 5571, 4161, 780, 309, 269, 8892, 19648, 538, 700, 12396, 692, 2026, 3782, 5170, 9687, 6385, 267, 865, 1932, 1281, 519, 5251, 540, 700, 12396, 269, 24021, 3466, 2303, 3395, 8561, 593, 10531, 4915, 267, 3358, 2126, 6620, 1759, 593, 1367, 3461, 12632, 267, 543, 6639, 10124, 26405, 547, 2981, 2757, 10551, 26336, 269, 1280, 3236, 267, 6915, 19956, 1229, 21934, 9529, 791, 27389, 730, 609, 2208, 3815, 15483, 339, 5661, 3180, 9153, 585, 23960, 5160, 20344, 1739, 5945, 610, 10551, 6354, 2827, 269, 3958, 267, 5841, 4987, 12454, 16762, 3631, 1223, 5732, 14404, 1518, 4220, 543, 20928, 3375, 6194, 3157, 267, 6038, 3056, 547, 4824, 4093, 543, 15398, 9547, 1851, 1312, 19353, 543, 2550, 7567, 780, 9654, 269, 10390, 692, 1103, 5758, 267, 561, 31099, 5943, 6391, 4564, 513, 6422, 543, 4241, 6389, 1369, 17333, 565, 28640, 1108, 6131, 547, 993, 601, 1640, 908, 771, 29058, 2175, 18363, 4105, 3252, 971, 607, 4633, 267, 2554, 331, 583, 819, 267, 543, 19344, 269, 3414, 11826, 1353, 543, 17117, 540, 20133, 5669, 3741, 267, 3140, 7835, 267, 4207, 2553, 267, 543, 2104, 24551, 267, 14971, 9439, 666, 2990, 2933, 693, 519, 21282, 540, 713, 17938, 1791, 908, 9015, 1247, 7700, 25006, 547, 14027, 1480, 1072, 543, 8171, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 294, 15869, 16176, 267, 11022, 454, 299, 28640, 1108, 267, 10361, 543, 3026, 1188, 17889, 267, 17305, 565, 28640, 1108, 454, 9331, 20513, 4284, 5974, 267, 5549, 563, 9331, 10157, 16989, 17305, 528, 327, 26096, 28640, 1108, 1626, 3162, 661, 583, 1177, 9335, 454, 289, 5306, 20095, 267, 11022, 476, 18891, 4905, 5192, 19648, 454, 17206, 540, 15930, 29407, 543, 13106, 31517, 4659, 2423, 267, 715, 846, 1299, 774, 9130, 18669, 13136, 271, 918, 1716, 534, 20000, 454, 289, 5306, 20095, 267, 11022, 476, 18891, 5881, 5192, 19648, 454, 7804, 269, 24553, 16176, 568, 513, 31776, 2389, 11712, 561, 28640, 6048, 945, 24870, 538, 519, 2564, 543, 10551, 2359, 540, 5639, 267, 21572, 543, 24948, 4713, 563, 9515, 13000, 513, 3099, 540, 4713, 7133, 519, 13047, 27871, 267, 21572, 543, 5580, 24647, 267, 1519, 1875, 2275, 22083, 748, 13047, 10260, 15087, 267, 561, 31099, 2860, 267, 20443, 7929, 13099, 650, 25959, 2670, 267, 838, 553, 7116, 545, 7988, 874, 8205, 267, 561, 31099, 543, 30439, 531, 23296, 2670, 267, 561, 28640, 2684, 31099, 17406, 543, 24789, 12027, 781, 31818, 545, 4918, 563, 7804, 269, 16176, 24870, 538, 13047, 10260, 8955, 6391, 1210, 918, 9143, 543, 2910, 273, 22795, 543, 15824, 5604, 2861, 5574, 1519, 13047, 10260, 13297, 11160, 7695, 267, 13047, 10260, 15636, 2135, 13297, 543, 1098, 19063, 531, 1965, 15047, 22000, 563, 7804, 269, 16176, 568, 513, 15707, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 31099, 17563, 17889, 257, 607, 851, 540, 834, 25503, 1315, 17889, 1315, 17305, 565, 28640, 1108, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 4986, 855, 11995, 14334, 269, 1809, 1369, 713, 14334, 267, 972, 11478, 1945, 1572, 834, 14813, 6541, 1701, 5606, 6541, 729, 711, 899, 4376, 3116, 1317, 621, 8659, 3388, 602, 2479, 729, 267, 568, 267, 610, 786, 581, 269, 898, 729, 513, 2462, 3440, 540, 2220, 26325, 4778, 543, 5546, 267, 2407, 540, 4555, 267, 2093, 267, 543, 7399, 780, 3080, 1554, 267, 5606, 6541, 4956, 547, 1711, 1945, 1007, 910, 1945, 5094, 689, 3294, 269, 1656, 865, 267, 1175, 899, 950, 596, 9514, 18616, 689, 12853, 267, 5606, 6541, 3323, 25738, 6263, 18616, 540, 1769, 883, 6228, 269, 3962, 19389, 729, 2189, 543, 1185, 922, 1378, 2027, 8141, 548, 269, 1452, 18616, 941, 1018, 649, 1631, 917, 607, 15270, 267, 6801, 267, 543, 10785, 780, 3086, 267, 3330, 1142, 4541, 267, 1519, 938, 3047, 267, 972, 5030, 1614, 1271, 2694, 1107, 10610, 267, 9650, 267, 543, 13336, 269, 1358, 5249, 1927, 5702, 547, 1118, 2386, 1169, 2713, 3364, 8057, 909, 2635, 543, 2178, 269, 2913, 781, 1451, 811, 827, 891, 1655, 2828, 2439, 28694, 2729, 538, 519, 1482, 1753, 607, 596, 798, 1107, 707, 2777, 610, 19887, 256, 1411, 666, 5431, 10610, 3362, 1317, 621, 5654, 899, 9358, 269, 10610, 2337, 596, 2263, 519, 1158, 1472, 596, 998, 707, 12823, 630, 3697, 7487, 5810, 267, 6217, 5017, 2206, 267, 512, 8463, 4672, 8645, 1040, 1677, 1832, 10610, 6126, 267, 3314, 547, 3548, 1434, 1426, 267, 4235, 1216, 267, 543, 3635, 3232, 780, 21790, 568, 899, 513, 9649, 5399, 1141, 782, 707, 4555, 2661, 269, 1879, 596, 1589, 827, 4730, 3544, 610, 2679, 7161, 267, 1346, 616, 4947, 689, 9650, 269, 6884, 267, 952, 596, 13404, 2731, 2182, 267, 596, 1522, 1256, 530, 24513, 548, 707, 10772, 610, 19462, 1510, 3001, 519, 1964, 540, 707, 1560, 256, 2334, 781, 875, 3532, 9650, 568, 256, 3807, 899, 10610, 267, 9650, 2115, 1416, 1932, 282, 16889, 267, 1565, 1007, 1919, 267, 543, 6061, 13410, 948, 7794, 621, 780, 306, 2869, 527, 568, 519, 1034, 9589, 851, 540, 721, 782, 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 ]
[ 2645, 543, 2553, 269, 901, 3184, 786, 2263, 875, 7344, 543, 23825, 4702, 666, 3565, 547, 2870, 811, 3608, 267, 3015, 267, 543, 1942, 15807, 2564, 26129, 998, 1483, 6066, 7020, 4066, 780, 4089, 476, 272, 269, 272, 281, 6348, 24493, 15230, 12726, 14635, 9828, 692, 25565, 2564, 10386, 2409, 1419, 4125, 12362, 5773, 602, 949, 2014, 9636, 267, 1928, 267, 610, 1761, 8374, 585, 2550, 269, 1635, 16107, 8441, 538, 11707, 543, 2326, 2257, 267, 3173, 723, 2919, 4244, 1875, 29554, 2409, 585, 10655, 6211, 5439, 269, 2368, 1806, 1331, 1384, 265, 5843, 22381, 573, 923, 2861, 2960, 15649, 602, 10110, 17570, 610, 26300, 527, 658, 5714, 585, 7280, 5464, 630, 289, 663, 617, 22894, 1696, 620, 1421, 476, 1001, 275, 994, 265, 6428, 10216, 2861, 4152, 1210, 29370, 5419, 730, 3457, 585, 16326, 10194, 10717, 630, 10267, 978, 1696, 620, 1421, 476, 1708, 271, 994, 265, 23203, 762, 8596, 7471, 883, 7802, 585, 6024, 5464, 540, 4105, 4191, 630, 303, 1046, 1696, 620, 1421, 476, 1001, 279, 2020, 4322, 3209, 4485, 2709, 1896, 5383, 936, 6671, 2553, 267, 1519, 4389, 3461, 11605, 267, 2539, 1981, 540, 3968, 6771, 267, 543, 2799, 10333, 585, 6552, 610, 4199, 29438, 1243, 5468, 269, 5015, 267, 789, 5512, 7928, 543, 19976, 1239, 4015, 267, 14123, 2038, 2068, 7020, 543, 10531, 2126, 4566, 780, 4089, 476, 272, 269, 273, 281, 5843, 22381, 573, 545, 12726, 19369, 6396, 3098, 692, 5629, 513, 5078, 3732, 814, 1044, 5833, 267, 621, 1590, 10929, 840, 30112, 3268, 1354, 2079, 269, 769, 1880, 267, 2890, 22381, 573, 545, 1949, 1683, 2189, 3255, 585, 3678, 908, 543, 9910, 4405, 1944, 891, 3157, 1247, 4509, 1164, 8856, 543, 8417, 269, 6206, 9270, 950, 8888, 2890, 22381, 573, 545, 5867, 585, 3732, 7041, 1331, 1384, 265, 29079, 7829, 281, 6452, 23847, 12879, 540, 1507, 12531, 3340, 6297, 7156, 540, 2627, 8082, 4229, 267, 1471, 32654, 2360, 267, 543, 8756, 9511, 269, 6201, 540, 2890, 22381, 573, 545, 3334, 1031, 585, 5277, 7829, 1331, 17901, 267, 3575, 619, 267, 543, 15450, 563, 265, 3487, 1834, 9668, 543, 23918, 281, 8564, 1947, 5248, 908, 3077, 2555, 5052, 689, 1950, 14290, 568, 2629, 585, 5355, 5365, 3562, 5991, 18857, 12753, 543, 4227, 13779, 1282, 19654, 9382, 269, 15316, 2994, 2291, 585, 9325, 18570, 1759, 593, 2450, 267, 3337, 267, 5279, 267, 22775, 1464, 267, 610, 25505, 4205, 563, 265, 4437, 12950, 6547, 281, 23889, 6198, 4559, 1369, 2890, 22381, 573, 545, 5121, 2636, 3173, 547, 1685, 29508, 2047, 593, 7302, 760, 267, 6908, 23164, 32262, 543, 10893, 556, 26047, 4616, 269, 28871, 6964, 5114, 2447, 31559, 1331, 29920, 5832, 5114, 630, 303, 10135, 1070, 8520, 24975, 568, 18540, 29208, 630, 299, 21283, 1070, 543, 6375, 334, 817, 904, 780, 3528, 9256, 2789, 3252, 1369, 513, 2582, 3926, 267, 2890, 22381, 573, 545, 1949, 7520, 4028, 543, 7347, 3732, 4393, 267, 7175, 1483, 6066, 7020, 540, 8790, 26163, 609, 8766, 3593, 6304, 780, 4089, 476, 272, 269, 274, 281, 14825, 730, 24544, 11150, 585, 8672, 6361, 4211, 732, 23369, 692, 8505, 558, 566, 4249, 513, 2565, 1909, 538, 8236, 4977, 267, 6325, 267, 543, 12905, 5868, 693, 519, 1448, 540, 1416, 269, 25790, 538, 9804, 15392, 267, 6850, 322, 13511, 267, 543, 29113, 723, 3366, 547, 519, 11944, 540, 15409, 31627, 5827, 540, 7900, 10427, 10763, 4247, 1510, 27531, 2773, 610, 8897, 6361, 14025, 269, 2368, 8037, 7835, 538, 713, 2361, 1331, 1384, 265, 12829, 7483, 10784, 1122, 3603, 19777, 839, 832, 19713, 519, 3710, 2987, 8254, 543, 12985, 1379, 540, 5985, 3457, 547, 5659, 2681, 574, 13011, 610, 24638, 6786, 6383, 676, 14694, 2095, 29508, 630, 299, 11902, 264, 610, 11747, 30499, 6375, 657, 12643, 550, 29508, 630, 5085, 26721, 264, 630, 301, 7666, 344, 523, 1696, 620, 1421, 476, 1001, 278, 1916, 265, 7433, 2861, 2890, 22381, 573, 545, 3457, 9001, 31479, 2962, 547, 3560, 15559, 998, 4806, 539, 28920, 11131, 7496, 267, 3850, 2241, 3308, 7664, 540, 1449, 2164, 3842, 24885, 2762, 610, 30843, 14001, 12998, 630, 9590, 292, 264, 9259, 630, 24938, 710, 345, 1696, 620, 1421, 476, 1220, 278, 282, 15651, 1696, 620, 1421, 476, 1001, 280, 1916, 265, 15089, 641, 14835, 10276, 327, 2331, 29508, 29227, 2189, 3601, 540, 17285, 6289, 739, 23461, 630, 324, 3052, 1421, 9842, 3000, 16982, 264, 610, 7061, 15956, 630, 304, 17762, 264, 585, 8476, 8417, 543, 2789, 343, 539, 7020, 7207, 630, 295, 340, 836, 1696, 620, 1421, 476, 1220, 277, 282, 9149, 1696, 620, 1421, 476, 1001, 276, 6393, 4322, 10124, 6542, 519, 16854, 1761, 540, 10128, 4702, 3741, 609, 7636, 7350, 547, 2087, 3782, 4093, 11451, 269, 1306, 1382, 5170, 547, 4434, 267, 621, 568, 1898, 547, 2611, 26256, 714, 656, 540, 9687, 2115, 543, 14422, 1369, 519, 2564, 2146, 267, 4180, 602, 1007, 4066, 2232, 9758, 10616, 538, 4540, 10368, 16097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8070, 25269, 3220, 269, 9253, 25475, 8235, 568, 18188, 547, 513, 1007, 2990, 607, 19608, 7905, 538, 519, 4972, 540, 20996, 1299, 17224, 18209, 7177, 693, 8865, 5375, 15944, 2160, 454, 8702, 19468, 10961, 966, 10005, 13121, 16114, 657, 543, 2871, 559, 615, 1889, 595, 1815, 6737, 5548, 684, 16037, 267, 938, 1007, 623, 2177, 307, 2464, 1053, 11836, 519, 2978, 585, 519, 12096, 476, 1708, 273, 19496, 563, 763, 700, 4883, 525, 6997, 693, 8830, 16746, 2160, 454, 763, 700, 4883, 525, 6997, 568, 9141, 676, 519, 10296, 991, 585, 1483, 6066, 7020, 4066, 547, 2061, 267, 13209, 267, 543, 1732, 1174, 519, 31630, 540, 3676, 269, 1284, 1445, 593, 1875, 29554, 3732, 4015, 267, 2890, 22381, 573, 545, 3732, 7041, 267, 543, 12747, 7020, 540, 8790, 26163, 547, 7561, 13209, 543, 6895, 1312, 11763, 543, 1875, 268, 10919, 27809, 3676, 693, 519, 1448, 540, 1416, 269, 10241, 540, 713, 960, 2039, 689, 2518, 1072, 547, 7686, 1030, 1619, 547, 10531, 4915, 563, 2171, 3494, 602, 8030, 616, 3274, 791, 520, 1304, 3744, 281, 32222, 547, 7227, 585, 519, 1158, 547, 19586, 922, 13655, 543, 3079, 533, 11538, 1930, 519, 25437, 547, 1294, 1018, 779, 3330, 543, 7311, 11050, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 22379, 1299, 22957, 1315, 20996, 1315, 17224, 18209, 7177, 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, 8893, 7170, 281, 16418, 532, 2696, 609, 2353, 2659, 9839, 281, 4197, 22819, 31109, 476, 3066, 281, 1724, 268, 1691, 692, 11917, 16633, 1384, 265, 4841, 786, 1174, 519, 2495, 540, 22819, 31109, 476, 3066, 281, 1724, 268, 1691, 543, 875, 621, 12211, 547, 5275, 2696, 609, 782, 741, 12271, 563, 265, 4841, 786, 2263, 2123, 16499, 23888, 540, 5132, 543, 1451, 875, 2043, 723, 4810, 4466, 2696, 538, 741, 2729, 563, 265, 4841, 786, 2992, 593, 741, 1378, 2078, 609, 2696, 543, 2015, 2081, 789, 666, 15052, 713, 4276, 780, 7072, 912, 5970, 596, 2479, 4503, 1945, 1271, 286, 9320, 621, 729, 707, 6049, 267, 707, 10569, 267, 610, 707, 5172, 11442, 269, 1879, 649, 6336, 1945, 3407, 267, 649, 1419, 979, 547, 1390, 13080, 547, 1265, 621, 269, 1284, 1522, 1427, 15869, 938, 3268, 267, 2307, 1866, 952, 789, 4076, 2938, 621, 267, 610, 1256, 2709, 513, 8007, 585, 922, 2132, 269, 6684, 267, 519, 6426, 6645, 721, 602, 950, 649, 3343, 2696, 609, 782, 938, 12271, 267, 1261, 14767, 547, 581, 1336, 676, 721, 269, 2913, 779, 1491, 513, 6251, 1413, 693, 1018, 713, 1797, 543, 875, 649, 666, 4019, 621, 547, 938, 1378, 2729, 780, 8893, 10610, 1384, 272, 269, 4197, 22819, 31109, 476, 3066, 281, 1724, 268, 1691, 454, 763, 8574, 649, 616, 3168, 693, 2221, 2501, 689, 519, 6196, 11620, 1433, 540, 22819, 31109, 269, 2311, 713, 942, 538, 1686, 267, 519, 25232, 1185, 1044, 3144, 27604, 676, 519, 20770, 2103, 543, 2366, 883, 24815, 269, 1358, 1590, 723, 5433, 2484, 689, 2696, 543, 18516, 540, 741, 2104, 269, 1809, 5103, 741, 1699, 6381, 267, 2696, 14753, 998, 519, 22445, 22819, 31109, 543, 3091, 873, 4126, 269, 1261, 3081, 267, 968, 4517, 9493, 4927, 3343, 803, 267, 543, 1265, 803, 267, 950, 9493, 4927, 3406, 585, 803, 609, 782, 707, 2295, 892, 630, 297, 699, 31109, 476, 3066, 281, 1724, 1040, 901, 9153, 19595, 721, 602, 1100, 2339, 1141, 649, 616, 610, 1018, 649, 949, 581, 2469, 998, 267, 2696, 568, 2141, 972, 7996, 585, 721, 547, 3914, 856, 547, 13924, 563, 273, 269, 6201, 540, 15531, 2696, 538, 9608, 4530, 574, 23888, 454, 9961, 1686, 267, 1082, 1004, 723, 3838, 2984, 540, 875, 789, 8179, 2696, 543, 5555, 1336, 13924, 269, 1452, 16499, 23888, 7618, 721, 602, 1247, 3025, 779, 3460, 568, 2189, 267, 649, 2671, 513, 1455, 7287, 547, 1921, 609, 1945, 3152, 982, 6000, 269, 1280, 1383, 267, 1577, 779, 4585, 713, 2110, 3381, 17157, 10023, 519, 21981, 540, 513, 4807, 3957, 8861, 945, 8843, 1200, 1650, 540, 3395, 909, 1510, 4984, 855, 2663, 12423, 1200, 5132, 607, 606, 2937, 563, 314, 11900, 1068, 11473, 1849, 760, 2639, 27880, 779, 1650, 2982, 721, 602, 1256, 950, 649, 1745, 11397, 689, 2696, 267, 649, 666, 1869, 3442, 547, 3343, 13924, 856, 543, 1995, 3571, 4527, 538, 938, 2729, 780, 274, 269, 14484, 532, 593, 3776, 13574, 20556, 609, 2696, 454, 2026, 649, 1224, 14644, 999, 899, 22819, 31109, 476, 3066, 281, 1724, 268, 1691, 543, 5873, 824, 1004, 779, 16499, 23888, 267, 621, 779, 2067, 547, 1376, 3206, 827, 938, 1378, 2078, 609, 2696, 269, 6333, 891, 2055, 281, 1548, 1281, 5275, 2696, 1611, 547, 596, 286, 1215, 814, 707, 1620, 540, 2696, 7960, 2429, 707, 1272, 286, 3657, 972, 1022, 9465, 7303, 596, 689, 5373, 6251, 547, 2696, 286, 1306, 596, 1589, 827, 891, 2055, 267, 6108, 930, 942, 1603, 1524, 707, 4555, 538, 513, 4760, 610, 7234, 873, 609, 513, 11967, 3659, 610, 1920, 4759, 780, 6962, 912, 1103, 3932, 267, 5275, 2696, 609, 782, 938, 12271, 2636, 721, 547, 1995, 513, 4514, 1377, 540, 25055, 543, 4276, 609, 13924, 269, 3807, 607, 10478, 585, 1945, 10475, 6770, 7772, 543, 8323, 950, 649, 6368, 1265, 621, 267, 865, 1932, 1281, 4466, 2696, 6445, 938, 2729, 609, 3483, 543, 20106, 269, 2904, 1142, 835, 540, 721, 3136, 547, 3343, 543, 1265, 2696, 538, 1007, 543, 6209, 2081, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4517, 9493, 4927, 3343, 803, 267, 543, 1265, 803, 267, 950, 9493, 4927, 3406, 585, 803, 609, 782, 707, 2295, 269, 1656, 594, 786, 581, 1336, 540, 596, 267, 1094, 603, 8614, 327, 990, 1695, 267, 543, 594, 786, 2490, 1586, 707, 24811, 267, 543, 594, 786, 5531, 596, 689, 782, 519, 6082, 267, 543, 689, 782, 519, 4025, 627, 2416, 594, 723, 9141, 596, 267, 1094, 603, 8614, 327, 990, 1695, 282, 543, 594, 786, 3142, 596, 1586, 21349, 519, 1747, 950, 576, 594, 3361, 596, 547, 581, 5645, 2476, 27604, 269, 630, 297, 699, 31109, 476, 3066, 281, 476, 1724, 268, 1691, 994, 303, 4394, 267, 29315, 630, 2735, 275, 270, 1220, 272, 264, 3245, 5384, 8056, 655, 3645, 281, 634, 17959, 540, 519, 6259, 11219, 28779, 18366, 936, 21157, 269, 808, 298, 4338, 23549, 910, 9628, 14889, 476, 31430, 533, 563, 26469, 717, 657, 1088, 514, 630, 2918, 270, 275, 270, 1708, 274, 994, 1607, 1433, 568, 827, 519, 24752, 7726, 543, 519, 3140, 6381, 602, 941, 922, 2014, 269, 24641, 1082, 1004, 2285, 909, 12394, 547, 1174, 519, 3510, 834, 553, 5664, 5101, 6214, 568, 7294, 257, 22642, 262, 1433, 12204, 1919, 856, 543, 2488, 1454, 991, 2796, 547, 1459, 2621, 269, 2334, 1767, 267, 3006, 519, 5168, 666, 581, 28842, 1304, 610, 10002, 641, 983, 1862, 4935, 3245, 5384, 8056, 655, 3645, 568, 606, 538, 3829, 1413, 693, 519, 834, 21595, 652, 15687, 7726, 257, 543, 513, 2864, 2498, 1815, 6231, 8620, 606, 2502 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1012, 476, 16348, 7176, 692, 1839, 267, 277, 7176, 630, 13512, 4868, 19317, 8536, 3670, 4627, 562, 27197, 32732, 264, 568, 606, 1256, 2947, 1673, 580, 1080, 12432, 1297, 1739, 476, 16348, 9032, 543, 18631, 476, 16348, 4200, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 273, 269, 6321, 280, 279, 6398, 476, 10441, 269, 634, 2040, 540, 922, 9704, 568, 476, 1789, 269, 898, 814, 513, 2698, 540, 476, 274, 6305, 2188, 543, 476, 279, 2318, 16975, 269, 1703, 616, 476, 279, 267, 276, 5038, 2318, 9981, 630, 1575, 547, 476, 16348, 7176, 264, 602, 616, 5266, 6305, 547, 476, 16348, 7176, 780, 1012, 9978, 3601, 692, 1892, 1772, 11788, 286, 3143, 454, 1892, 7089, 26027, 4634, 454, 1892, 7089, 3259, 476, 276, 454, 1892, 5681, 540, 6226, 1080, 476, 1789, 454, 1892, 7913, 17848, 476, 274, 692, 1012, 8745, 692, 14112, 2012, 476, 1839, 8536, 476, 277, 7176, 8938, 19317, 8536, 3670, 4627, 562, 27197, 32732, 692, 1012, 3502, 566, 692, 26199, 10035, 476, 273, 269, 6321, 280, 279, 6398, 476, 10441, 476, 1839, 269, 277, 7176, 6398, 476, 9818, 692, 1012, 11788, 16748, 1436, 540, 476, 16348, 7176, 692, 28269, 16748, 1436, 476, 273, 6398, 476, 274, 6398, 476, 275, 2764, 274, 692, 4467, 22683, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 274, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 274, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 16348, 7176, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 910, 272, 16849, 519, 26027, 540, 3852, 358, 3799, 1070, 971, 602, 18494, 3799, 264, 815, 11196, 272, 264, 394, 358, 3799, 264, 13179, 3799, 264, 910, 272, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 1839, 267, 277, 7176, 568, 476, 273, 6398, 476, 274, 6398, 476, 275, 2764, 274, 269, 4595, 621, 814, 513, 2698, 540, 476, 274, 6305, 2188, 267, 476, 1839, 267, 277, 7176, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 16348, 7176, 692, 272, 267, 476, 273, 267, 476, 274, 267, 476, 277, 267, 476, 275, 2764, 274, 267, 476, 5952, 277, 277, 267, 476, 12553, 5392, 267, 476, 16348, 7176, 692, 279, 16975, 692, 4634, 16975, 476, 275, 476, 275, 476, 273, 476, 273, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 279, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 276, 1691, 5400, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 27038, 1015, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 5038, 273, 277, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 8182, 269, 27420, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 274, 269, 15886, 5881, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 1839, 267, 277, 7176, 666, 581, 5258, 676, 476, 279, 2318, 16975, 630, 719, 540, 799, 476, 275, 616, 1256, 267, 543, 476, 275, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 1839, 267, 277, 7176, 264, 568, 476, 7906, 267, 2412, 279, 267, 519, 3328, 568, 476, 277, 267, 275, 2918, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 16348, 7176, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 5952, 277, 275, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 275, 2764, 273, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 27543, 272, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 271, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 279, 267, 276, 5038, 2318, 9981, 630, 1652, 982, 476, 1839, 267, 277, 7176, 264, 602, 616, 2941, 31870, 609, 476, 1839, 267, 277, 7176, 269, 1656, 972, 616, 5111, 476, 273, 267, 279, 4029, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 1839, 267, 277, 7176, 780, 1012, 6555, 529, 2225, 540, 476, 16348, 7176, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 271, 476, 271, 476, 273, 476, 274, 476, 271, 476, 272, 476, 273, 476, 274, 692, 763, 1297, 476, 1839, 267, 277, 7176, 568, 16883, 676, 476, 273, 267, 476, 274, 543, 476, 277, 780, 1012, 19032, 540, 476, 16348, 7176, 692, 1892, 25226, 454, 1892, 2806, 1495, 656, 692, 2162, 18124, 1043, 3842, 1808, 18304, 692, 1892, 2717, 924, 454, 1892, 6348, 268, 1506, 13607, 26664, 692, 1892, 12384, 5131, 692, 1892, 1975, 1156, 545, 692, 1012, 12476, 7503, 630, 16348, 7176, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 8099, 18089, 9826, 1911, 18089, 454, 274, 570, 1716, 776, 476, 9083, 1708, 28512, 271, 454, 275, 2372, 15715, 776, 476, 13199, 23713, 6349, 454, 276, 2372, 2435, 476, 14530, 271, 2190, 274, 454, 277, 7354, 776, 476, 27183, 20862, 454, 279, 4239, 531, 476, 277, 2641, 5655, 454, 1015, 27252, 476, 16348, 7176, 454, 1321, 13660, 1712, 31565, 476, 1321, 320, 6321, 454, 736, 966, 580, 525, 2711, 476, 30306, 328, 454, 3607, 12476, 3607, 795, 14654, 692, 1012, 9978, 9273, 630, 333, 815, 476, 16348, 7176, 2020, 2162, 18527, 692, 333, 9943, 328, 454, 562, 9943, 273, 476, 276, 1724, 9834, 476, 278, 3583, 11463, 476, 9083, 8064, 273, 476, 12553, 275, 3445, 692, 2162, 10406, 692, 14269, 454, 562, 22397, 482, 273, 476, 12553, 5392, 476, 5952, 277, 277, 476, 5038, 273, 275, 269, 276, 476, 276, 1724, 280, 269, 277, 692, 2162, 5890, 9426, 2747, 692, 14269, 454, 562, 273, 476, 32133, 4343, 278, 14225, 476, 15433, 3583, 277, 24062, 6924, 274, 10844, 476, 275, 3607, 9340, 28796, 18684, 280, 4391, 277, 1626, 476, 12208, 5881, 272, 9262, 272, 29496, 4200, 279, 279, 2764, 4649, 280, 6924, 692, 2162, 715, 628, 17848, 692, 328, 18414, 333, 454, 476, 273, 18414, 333, 476, 8182, 269, 27420, 476, 3066, 269, 2004, 280, 279, 476, 1321, 269, 5780, 272, 273, 476, 278, 269, 30663, 4510, 692, 1012, 476, 16348, 7176, 607, 12166, 5546, 692, 2162, 17781, 692, 18924, 2678, 476, 276, 1724, 9834, 476, 14065, 275, 4792, 476, 273, 269, 5881, 275, 6858, 324, 266, 6021, 692, 2162, 1975, 1877, 692, 11730, 476, 278, 269, 10482, 5038, 324, 266, 1724, 476, 279, 269, 29218, 6858, 324, 266, 6021, 476, 14065, 275, 4792, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 9083, 8064, 273, 476, 277, 269, 2568, 274, 9262, 324, 266, 5400, 476, 3607, 274, 5655, 269, 276, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 274, 269, 280, 7830, 3953, 324, 266, 6021, 476, 272, 269, 7597, 278, 6187, 324, 266, 1724, 476, 275, 3393, 1015, 269, 273, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 278, 3583, 11463, 476, 273, 269, 5952, 280, 6321, 324, 266, 5400, 476, 19442, 4649, 269, 272, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 272, 269, 16960, 11025, 324, 266, 6021, 476, 273, 269, 1822, 4905, 324, 266, 1321, 476, 20385, 11025, 269, 274, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 476, 3607, 277, 4206, 272, 321, 279, 324, 2004, 320, 15836, 28656, 276, 9536, 277, 5952, 4510, 277, 280, 321, 6321, 324, 3413, 321, 271, 3393, 10019, 325, 1030, 659, 22332, 322, 275, 325, 4366, 272, 6507, 272, 271, 323, 6812, 275, 272, 323, 3393, 325, 2041, 8578, 476, 273, 1815, 280, 1789, 6246, 323, 5952, 322, 2801, 321, 6858, 323, 280, 324, 7918, 27889, 280, 323, 6434, 321, 277, 2041, 5325, 1030, 4200, 278, 320, 9965, 8578, 576, 276, 325, 272, 659, 11463, 324, 273, 629, 271, 323, 31746, 476, 11260, 6858, 274, 280, 3393, 10623, 6924, 280, 2412, 325, 18458, 5780, 6767, 279, 3607, 10844, 9536, 26605, 276, 322, 5881, 272, 276, 2801, 10482, 279, 325, 321, 10037, 324, 273, 321, 4792, 272, 325, 323, 10619, 323, 274, 323, 276, 6078, 6021, 321, 4792, 324, 277, 321, 276, 20660, 279, 629, 1372, 26316, 323, 271, 322, 4343, 274, 1321, 322, 272, 323, 280, 7761, 20720, 279, 10623, 6321, 325, 275, 1815, 5392, 25900, 275, 322, 20657, 1724, 322, 276, 2465, 5400, 476, 277, 322, 3393, 322, 280, 324, 272, 2801, 278, 321, 279, 3393, 276, 323, 280, 8619, 280, 325, 4962, 25900, 280, 321, 272, 8578, 2378, 8517, 280, 322, 4905, 0, 258, 4208, 798, 649, 991, 23030, 9612, 538, 1109, 307, 4181, 2496, 307, 4181, 666, 581, 9286, 538, 1896, 2081, 538, 4578, 13419, 1005, 1759, 593, 741, 4859, 1239, 269, 2290, 540, 1346, 1505, 12851, 547, 9352, 3406, 3529, 282, 6518, 814, 513, 3407, 703, 11582, 5635, 547, 824, 3529, 2010, 780, 2791, 949, 581, 5432, 609, 519, 2012, 23030, 543, 1018, 6763, 585, 538, 707, 2979, 610, 6880, 3354, 1576, 538, 519, 2250, 282, 6518, 1419, 3322, 2348, 1945, 547, 798, 609, 1079, 2694, 269, 4270, 267, 952, 596, 798, 267, 1287, 596, 3893, 519, 1175, 540, 621, 267, 1317, 519, 23030, 9612, 3529, 568, 1759, 540, 1079, 15998, 780, 1692, 1281, 23030, 9612, 10326, 2049, 2496, 288, 9352, 3406, 3529, 7173, 841, 950, 1142, 6843, 814, 513, 13380, 1883, 543, 2743, 519, 11527, 1081, 602, 519, 1883, 538, 1022, 6843, 568, 3677, 982, 519, 10569, 538, 782, 9136, 538, 602, 6843, 779, 2451, 1016, 2389, 872, 543, 4130, 982, 519, 10569, 538, 782, 9136, 538, 602, 12162, 685, 525, 1318, 1016, 2389, 872, 780, 24927, 5384, 281, 2422, 23030, 3529, 2409, 547, 4019, 23030, 9612, 10326, 780, 21504, 1362, 23030, 15507, 21698, 2715, 692, 21504, 11979, 19219, 3597, 16963, 21504, 23030, 15507, 21698, 3890, 346, 692, 10472, 269, 10174, 815, 14275, 16963, 10926, 21504, 1630, 18978, 1265, 17301, 7329, 264, 346, 692, 11966, 1699, 815, 3597, 16963, 6112, 263, 9690, 256, 284, 333, 1638, 264, 346, 692, 604, 263, 9690, 21606, 2525, 573, 264, 346, 692, 8873, 3020, 16963, 348, 12828, 952, 263, 9690, 21606, 285, 573, 264, 346, 692, 9690, 815, 1699, 16000, 16963, 348, 12828, 346, 692, 9690, 815, 1699, 16192, 16963, 10926, 10926, 8873, 7301, 16963, 10926, 21504, 1630, 18978, 18419, 17301, 7329, 264, 346, 692, 11966, 2385, 815, 3597, 16963, 11966, 1699, 815, 3597, 16963, 2692, 18978, 568, 29381, 21609, 815, 7301, 16963, 6112, 263, 9690, 21606, 256, 284, 573, 264, 346, 692, 8001, 815, 1699, 16963, 604, 263, 9690, 21606, 285, 573, 264, 346, 692, 529, 29381, 21609, 815, 3020, 16963, 9690, 815, 1699, 16000, 16963, 348, 12828, 346, 692, 529, 29381, 21609, 815, 7301, 16963, 9690, 815, 1699, 16192, 16963, 10926, 604, 263, 9690, 2652, 333, 1638, 264, 346, 692, 8873, 7301, 16963, 10926, 10926, 2260, 604, 1775, 993, 1934, 602, 1797, 649, 723, 1336, 519, 6843, 692, 2260, 19111, 476, 272, 281, 952, 6843, 547, 581, 25216, 814, 1100, 1453, 692, 604, 263, 9690, 16000, 2525, 333, 1638, 30974, 1699, 16192, 2525, 333, 1638, 264, 346, 692, 604, 263, 9690, 2525, 10174, 264, 346, 692, 10174, 815, 14275, 16963, 10926, 604, 263, 529, 29381, 21609, 2652, 25152, 264, 346, 692, 8001, 16000, 815, 14275, 16963, 348, 12828, 346, 692, 8001, 16192, 815, 14275, 16963, 10926, 10926, 2260, 19111, 476, 273, 1109, 281, 952, 6843, 547, 581, 25216, 814, 1152, 835, 1126, 692, 12828, 952, 263, 9690, 16192, 2525, 333, 1638, 264, 346, 692, 604, 263, 9690, 2525, 10174, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22344, 2247, 1018, 798, 1034, 22988, 1589, 540, 1625, 11939, 2528, 267, 2523, 3823, 741, 5784, 593, 269, 1280, 513, 1454, 811, 3573, 6609, 982, 5526, 593, 713, 5618, 2985, 267, 1294, 519, 1568, 7396, 538, 519, 5697, 15853, 593, 1625, 11939, 1143, 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 ]
[ 1634, 607, 513, 5752, 1893, 269, 17451, 2094, 519, 8798, 540, 8176, 9040, 12237, 779, 3017, 2599, 538, 476, 9264, 273, 267, 5904, 723, 2838, 513, 1797, 540, 4051, 532, 873, 547, 1685, 513, 1808, 4305, 269, 6196, 625, 543, 1434, 625, 281, 3245, 3504, 4654, 971, 607, 12355, 547, 20474, 269, 4706, 3483, 729, 547, 581, 513, 1164, 1377, 1893, 602, 5280, 609, 519, 10342, 540, 513, 1357, 2985, 269, 1280, 6310, 10035, 269, 5124, 5752, 1893, 2306, 621, 2009, 547, 1020, 2973, 9479, 585, 1312, 1507, 543, 2462, 3156, 269, 634, 2012, 568, 606, 27099, 585, 11123, 332, 3121, 13138, 3198, 338, 3175, 269, 18421, 1411, 10261, 547, 5700, 6168, 4911, 983, 543, 4911, 983, 297, 306, 267, 1323, 4985, 547, 22532, 8416, 543, 12213, 4804, 1280, 30488, 267, 5440, 476, 276, 11612, 4554, 9796, 532, 22868, 538, 8950, 3163, 630, 1001, 279, 1070, 476, 274, 5440, 15306, 10341, 538, 4400, 24637, 2334, 2052, 7827, 519, 8892, 267, 5440, 476, 736, 21624, 5013, 827, 5616, 596, 1058, 917, 267, 634, 5440, 18467, 15870, 2052, 6435, 22505, 4944, 3205, 1684, 14568, 267, 5440, 476, 1015, 4107, 2422, 995, 10084, 23905, 1280, 5358, 11302, 269, 1323, 1840, 602, 949, 581, 9670, 547, 1082, 3988, 267, 9721, 717, 6130, 545, 568, 267, 538, 1249, 267, 835, 540, 519, 9510, 9275, 4654, 538, 519, 1158, 267, 5103, 922, 5266, 1507, 1895, 540, 10529, 269, 1306, 789, 2161, 267, 2025, 568, 4154, 269, 901, 729, 2944, 676, 1818, 519, 1893, 6251, 547, 1480, 2115, 267, 2864, 982, 3684, 2115, 269, 898, 568, 1031, 538, 1082, 3156, 602, 1590, 8818, 609, 8800, 610, 1404, 609, 3965, 269, 700, 7371, 568, 519, 2034, 6040, 652, 1164, 7400, 5752, 1893, 538, 7839, 946, 2221, 269, 16440, 1250, 2012, 267, 4757, 267, 543, 3896, 538, 713, 11422, 585, 519, 1985, 942, 594, 6085, 269, 4653, 267, 621, 568, 3006, 1031, 607, 513, 7097, 532, 1893, 267, 607, 1134, 607, 1373, 1031, 593, 519, 1394, 754, 540, 3156, 609, 519, 5305, 540, 19219, 12459, 338, 269, 476, 4198, 279, 910, 700, 7371, 630, 26211, 585, 968, 8266, 6713, 528, 14615, 4400, 7400, 269, 4208, 1100, 2328, 827, 519, 968, 331, 16722, 892, 666, 1175, 7340, 286, 898, 729, 1031, 538, 3384, 5665, 1949, 267, 12449, 267, 3756, 267, 1357, 5752, 543, 1256, 3384, 824, 5752, 4654, 269, 898, 1031, 547, 581, 519, 1034, 2442, 1893, 513, 1906, 1296, 3516, 267, 855, 922, 8560, 543, 6165, 814, 9090, 8519, 269, 1656, 3244, 3121, 568, 13641, 565, 609, 5049, 1107, 1071, 268, 709, 339, 1149, 267, 610, 3818, 2389, 27965, 1315, 628, 15105, 1547, 7073, 2029, 568, 2484, 811, 4359, 982, 1018, 621, 1031, 547, 581, 476, 274, 5756, 3516, 269, 634, 1686, 540, 595, 1893, 7389, 1394, 547, 519, 476, 3192, 271, 338, 269, 898, 568, 849, 1031, 585, 7746, 2427, 1357, 1646, 269, 4653, 267, 938, 16335, 814, 811, 20433, 543, 4393, 1379, 982, 513, 2706, 26367, 540, 602, 942, 269, 2368, 9367, 949, 581, 14281, 547, 1451, 602, 1082, 540, 891, 4654, 20546, 873, 538, 2085, 267, 538, 513, 1158, 1141, 2029, 267, 2523, 538, 519, 1158, 540, 1646, 267, 568, 14027, 693, 971, 513, 4028, 2557, 269, 5681, 518, 1014, 4797, 547, 581, 1031, 538, 2854, 6054, 267, 2356, 538, 3656, 543, 11889, 8658, 267, 1134, 1310, 519, 9275, 1893, 729, 3144, 936, 676, 13019, 330, 6598, 267, 519, 4266, 540, 799, 568, 1869, 23503, 2221, 269, 634, 2832, 540, 519, 1893, 729, 547, 1711, 28505, 9479, 269, 645, 21186, 928, 853, 709, 11584, 335, 1884, 13852, 6997, 338, 267, 1134, 646, 2090, 693, 589, 541, 327, 639, 2160, 609, 930, 824, 6505, 8593, 553, 602, 1500, 1949, 547, 1118, 1949, 267, 543, 789, 1500, 513, 29085, 547, 1118, 735, 32078, 269, 898, 729, 7620, 2966, 547, 14377, 6310, 12596, 883, 9479, 269, 22731, 32577, 2975, 5752, 1893, 2306, 621, 2009, 547, 1020, 2973, 9479, 585, 1312, 543, 1862, 13823, 1027, 519, 5752, 1893, 729, 7620, 2966, 585, 519, 1985, 942, 594, 6085, 1373, 5950, 547, 519, 1857, 20638, 4211, 24222, 4757, 267, 543, 20835, 602, 666, 581, 1031, 2539, 1377, 610, 2362, 1377, 267, 4470, 593, 519, 968, 6301, 325, 29707, 256, 13298, 982, 3684, 2115, 1373, 1031, 585, 25935, 1344, 689, 1257, 6119, 585, 1862, 5903, 540, 519, 1034, 2442, 543, 4922, 1031, 5752, 4654, 3297, 10084, 543, 595, 10030, 2442, 1893, 513, 1296, 256, 594, 657, 543, 13013, 2473, 3738, 1312, 1507, 543, 2462, 3156, 1893, 3738, 1164, 7400, 606, 1930, 2707, 1893, 1862, 4746, 1851, 519, 1034, 1271, 907, 595, 729, 2919, 676, 267, 700, 7371, 568, 689, 269, 2334, 5280, 609, 519, 10342, 540, 513, 1357, 2985, 3156, 543, 849, 4947, 909, 609, 21370, 269, 6153, 1297, 540, 4712, 3562, 14025, 3334, 543, 6422, 5752, 4654, 607, 621, 729, 11827, 538, 476, 4198, 280, 1893, 543, 568, 1869, 946, 1862, 9701, 596, 1451, 5124, 1923, 1215, 666, 596, 1831, 513, 26133, 5124, 27732, 513, 678, 29025, 1317, 269, 1656, 4922, 1031, 5752, 4654, 1419, 1031, 585, 5841, 4987, 5752, 630, 2110, 585, 968, 5903, 9232, 269, 23850, 585, 11327, 543, 1187, 5752, 1864, 593, 27707, 29878, 1934, 281, 4179, 281, 12262, 326, 603, 889, 2593, 270, 659, 25458, 7236, 10314, 1869, 946, 1862, 3807, 7340, 4654, 3297, 10084, 543, 595, 10030, 267, 621, 786, 581, 1271, 602, 596, 1451, 930, 540, 873, 1572, 269, 2201, 27707, 29878, 1934, 281, 4179, 281, 12262, 326, 603, 889, 2593, 270, 659, 25458, 7236, 10314, 267, 930, 2025, 4654, 616, 1869, 4143, 538, 519, 2413, 23511, 19556, 3156, 2101, 15496, 540, 5752, 4654, 538, 519, 4158, 538, 2904, 476, 3192, 273, 267, 519, 729, 269, 5113, 1317, 621, 5713, 607, 513, 7097, 532, 1893, 585, 3384, 3156, 543, 6109, 2264, 910, 269, 13012, 2663, 538, 476, 1960, 276, 267, 10084, 729, 2919, 676, 267, 700, 7371, 568, 6508, 689, 2048, 5903, 907, 10021, 3320, 593, 519, 968, 2890, 28669, 619, 9232, 609, 519, 10342, 540, 513, 1357, 2985, 22301, 269, 2561, 323, 3428, 923, 2319, 909, 547, 948, 13055, 4702, 6887, 3181, 1872, 1862, 1215, 547, 2936, 1239, 15418, 609, 907, 6969, 5824, 2560, 5681, 518, 1014, 568, 519, 2034, 6040, 652, 1164, 7400, 5752, 4654, 267, 9510, 5752, 1893, 11197, 547, 1982, 5665, 256, 3778, 540, 595, 10030, 729, 849, 2919, 538, 476, 4198, 280, 676, 24553, 14929, 704, 543, 7585, 645, 655, 518, 16765, 820, 10084, 547, 1831, 519, 9053, 269, 589, 7678, 1934, 286, 2560, 5681, 518, 1014, 568, 519, 1034, 2442, 2025, 5752, 4654, 607, 621, 729, 11827, 693, 13852, 338, 269, 5213, 11313, 512, 5855, 267, 649, 616, 1934, 547, 948, 596, 856, 519, 2930, 26398, 3435, 256, 5482, 3585, 267, 676, 8717, 540, 25007, 593, 681, 5661, 267, 799, 5097, 568, 1031, 538, 1970, 26125, 3156, 7678, 1934, 3738, 1862, 2311, 519, 13852, 338, 6997, 338, 676, 667, 12447, 681, 527, 2151, 543, 922, 8798, 729, 5702, 1644, 547, 1646, 269, 10724, 2115, 476, 4198, 271, 338, 602, 616, 1869, 538, 946, 2221, 811, 4359, 982, 1018, 1031, 269, 22731, 32577, 2975, 5752, 1893, 2910, 289, 5357, 1866, 1205, 22573, 607, 2484, 1394, 607, 519, 476, 4198, 271, 338, 602, 1869, 1862, 901, 1893, 729, 25282, 676, 24553, 14929, 704, 543, 7585, 645, 655, 518, 4654, 9232, 666, 1175, 7340, 596, 1862, 4419, 525, 607, 513, 7097, 532, 1893, 585, 3384, 15409, 3156, 543, 849, 4947, 909, 609, 4282, 269, 25592, 332, 6301, 325, 29707, 9232, 9510, 1140, 6479, 2854, 9510, 5752, 1893, 849, 4947, 909, 609, 606, 3608, 543, 8465, 1893, 1862, 12830, 907, 595, 729, 1500, 547, 581, 6829, 28879, 594, 11146, 1603, 827, 8193, 267, 28892, 267, 543, 256, 24371, 267, 3384, 11889, 3156, 585, 3549, 543, 6608, 11422, 585, 519, 594, 256, 3776, 5903, 540, 519, 9510, 1164, 7400, 5752, 1893, 2910, 289, 5357, 540, 922, 10850, 899, 610, 1862, 10783, 3757, 729, 519, 1101, 2647, 3262, 3791, 5108, 1893, 543, 568, 1869, 538, 946, 2221, 606, 1843, 513, 269, 1323, 27099, 602, 6763, 585, 13878, 3700, 700, 5723, 528, 2218, 1489, 585, 598, 2017, 6275, 2484, 1394, 607, 519, 476, 4198, 271, 338, 602, 1869, 269, 0, 16391, 545, 12202, 568, 4898, 2685, 9354, 543, 4896, 666, 798, 538, 1931, 547, 6001, 269, 1809, 267, 952, 596, 2461, 1175, 3478, 3323, 267, 789, 949, 1745, 16397, 269, 1215, 1058, 513, 6023, 593, 875, 547, 5265, 4677, 286, 3367, 519, 1344, 3177, 2630, 267, 543, 1246, 519, 5363, 5796, 563, 288, 7848, 540, 29469, 543, 1216, 666, 2149, 707, 513, 4979, 2371, 269, 19837, 9876, 476, 272, 29469, 630, 272, 269, 276, 21447, 829, 20645, 540, 1216, 264, 538, 513, 2030, 2068, 8165, 3070, 269, 1411, 666, 3362, 10936, 519, 4566, 609, 713, 598, 1723, 794, 547, 948, 873, 547, 4339, 540, 2068, 269, 634, 10936, 11129, 547, 581, 4294, 5111, 1169, 1614, 4374, 610, 865, 563, 16605, 707, 2645, 2673, 693, 1688, 547, 1118, 519, 1034, 540, 707, 12202, 942, 563, 2691, 707, 5452, 17708, 339, 267, 621, 3085, 1406, 991, 547, 581, 538, 607, 3636, 606, 1604, 269, 6744, 593, 707, 5452, 1419, 865, 596, 6952, 873, 950, 547, 4894, 519, 8874, 563, 2005, 786, 849, 8591, 513, 7833, 543, 23887, 1413, 547, 519, 4677, 563, 13014, 2386, 596, 960, 538, 707, 4677, 269, 5213, 1406, 3653, 707, 942, 676, 10478, 1164, 543, 1970, 585, 4503, 2645, 269, 16259, 782, 519, 2645, 596, 991, 1354, 596, 979, 856, 547, 960, 593, 707, 4677, 267, 543, 1287, 2322, 873, 2476, 28426, 950, 8737, 269, 1403, 596, 946, 6266, 540, 2645, 267, 6718, 513, 1907, 12966, 610, 5230, 10279, 27890, 609, 7899, 540, 22836, 563, 8620, 513, 6659, 5127, 585, 707, 4677, 856, 540, 6149, 267, 15839, 610, 15860, 3574, 269, 16521, 513, 3574, 602, 568, 6923, 11259, 547, 4232, 543, 1281, 711, 2270, 1022, 6464, 269, 634, 1655, 8677, 1331, 524, 25729, 267, 1327, 755, 543, 524, 25729, 18137, 269, 769, 1931, 547, 2057, 6757, 6878, 689, 3478, 883, 519, 2666, 543, 5310, 883, 707, 5388, 267, 1810, 1406, 946, 5701, 3574, 2094, 922, 6464, 666, 682, 3663, 883, 519, 1426, 7031, 543, 3037, 28560, 707, 4540, 4677, 2497, 3568, 5701, 3574, 267, 1899, 621, 609, 930, 5068, 543, 5372, 519, 3037, 2282, 621, 563, 4407, 5214, 12202, 3217, 513, 2370, 3063, 960, 267, 519, 12587, 616, 1454, 1732, 269, 2755, 519, 3114, 3549, 3409, 1390, 2640, 267, 519, 5214, 1505, 568, 2484, 8902, 585, 596, 543, 3025, 596, 2671, 707, 1426, 609, 563, 2791, 666, 18178, 14450, 1317, 540, 519, 533, 2056, 4365, 563, 2252, 596, 1689, 1919, 909, 676, 9544, 1919, 538, 1114, 4025, 267, 596, 1491, 5413, 540, 513, 2067, 12191, 547, 2057, 17343, 543, 2068, 2042, 563, 2791, 666, 7556, 519, 15620, 607, 519, 25568, 2253, 547, 2490, 6960, 593, 741, 25568, 563, 10932, 2199, 27386, 5521, 15969, 799, 666, 581, 3730, 538, 15658, 2590, 519, 11641, 2551, 1524, 269, 7849, 5521, 15969, 616, 1419, 811, 1379, 2685, 982, 10991, 13851, 269, 1717, 267, 27386, 5521, 15969, 949, 711, 2063, 607, 1279, 1317, 540, 741, 6211, 1118, 5725, 267, 27386, 5521, 15969, 1419, 723, 1360, 3728, 9178, 5712, 543, 14897, 6385, 563, 1607, 786, 1118, 5214, 12202, 1500, 2653, 269, 1411, 1058, 1544, 707, 30120, 676, 1210, 5065, 21823, 267, 26965, 543, 21823, 28560, 596, 3442, 2516, 540, 2371, 602, 782, 17450, 609, 1142, 824, 538, 2474, 540, 6099, 3037, 2175, 267, 3037, 3099, 543, 6805, 12543, 267, 596, 4465, 1406, 991, 547, 798, 607, 1454, 960, 547, 1205, 519, 2371, 547, 30598, 25678, 269, 7111, 2371, 786, 849, 28231, 519, 2640, 540, 11003, 1500, 11003, 563, 3086, 602, 596, 4076, 1224, 713, 2376, 267, 596, 949, 723, 513, 1732, 1620, 540, 1946, 1004, 2972, 5214, 12202, 865, 1454, 269, 1703, 568, 865, 1454, 1187, 543, 11005, 547, 581, 1185, 607, 835, 13290, 547, 1118, 741, 4677, 1332, 5265, 269, 1635, 7311, 519, 5796, 543, 4030, 540, 713, 2376, 267, 596, 666, 4677, 607, 1434, 607, 519, 4648, 563, 288, 2603, 540, 1004, 6999, 547, 4137, 856, 476, 6893, 359, 6893, 373, 6893, 499, 6893, 352, 6893, 504, 32453, 6893, 482, 32453, 6893, 352, 16055, 486, 32453, 6893, 511, 6893, 511, 6893, 503, 16055, 482, 6893, 354, 6893, 503, 16055, 490, 267, 855, 723, 513, 2370, 8373, 4628, 1620, 873, 269, 901, 1570, 786, 2285, 596, 930, 1390 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 272, 5130, 476, 1001, 277, 267, 827, 476, 1321, 17254, 1177, 30476, 630, 294, 310, 264, 540, 21369, 2842, 1379, 4390, 729, 10512, 267, 5631, 538, 8832, 2342, 267, 609, 476, 274, 267, 4037, 276, 24448, 540, 602, 4947, 2228, 1282, 476, 1001, 276, 269, 4340, 547, 645, 26774, 13693, 267, 811, 982, 476, 1626, 294, 310, 540, 3606, 4390, 786, 581, 8704, 1354, 519, 1439, 540, 476, 1001, 275, 543, 519, 2136, 8003, 543, 5125, 786, 1831, 519, 1079, 3056, 6990, 269, 5510, 17060, 2842, 1379, 4390, 568, 4397, 547, 3914, 513, 2698, 540, 476, 4037, 294, 310, 5001, 676, 476, 1708, 271, 267, 609, 1713, 7418, 689, 3624, 543, 519, 2136, 2276, 563, 22154, 5698, 18791, 938, 7029, 547, 5838, 513, 4628, 7471, 570, 1512, 476, 272, 4238, 543, 5826, 3028, 547, 519, 21369, 2842, 325, 1301, 5823, 607, 851, 540, 938, 1648, 5912, 4640, 2223, 1767, 19375, 295, 754, 3205, 267, 4429, 763, 1101, 10814, 5838, 625, 616, 1305, 547, 1491, 1747, 538, 5181, 3267, 8310, 4873, 267, 9399, 292, 20622, 1963, 13752, 513, 4579, 547, 715, 1410, 753, 547, 1374, 267, 5478, 543, 3888, 1164, 19581, 5653, 630, 295, 309, 264, 15791, 585, 519, 1530, 698, 2240, 21369, 2842, 325, 1301, 269, 7201, 519, 4579, 267, 715, 1410, 753, 786, 3888, 593, 17060, 543, 21369, 13143, 15791, 585, 519, 1788, 779, 1101, 5123, 540, 1646, 3267, 3267, 563, 19465, 21369, 6799, 1082, 2591, 3564, 519, 10792, 6070, 4248, 1604, 269, 1924, 2484, 267, 1152, 513, 1507, 6824, 540, 21369, 3267, 9558, 845, 619, 543, 695, 2863, 26119, 616, 1883, 4773, 540, 3937, 538, 519, 7470, 5989, 267, 7175, 6771, 540, 5201, 6383, 676, 21369, 2842, 325, 15767, 563, 3682, 1842, 1023, 585, 16715, 5010, 10626, 12014, 6069, 676, 519, 2817, 626, 9549, 2327, 602, 5126, 568, 1373, 2944, 547, 1507, 4213, 1510, 21002, 2287, 1804, 4213, 609, 1007, 24675, 267, 519, 623, 301, 1767, 2221, 3267, 306, 20980, 1648, 676, 10115, 538, 21369, 2842, 325, 15767, 267, 519, 2034, 32144, 528, 267, 519, 533, 333, 11099, 538, 538, 5481, 563, 2108, 5978, 13502, 1397, 602, 519, 1646, 540, 7372, 7265, 1229, 744, 310, 22661, 1496, 4752, 17060, 2842, 325, 15767, 316, 3648, 5222, 519, 2842, 2916, 543, 4398, 540, 7791, 1648, 2504, 593, 513, 6237, 4336, 2223, 25495, 519, 1957, 3267, 968, 314, 19423, 17060, 2842, 325, 15767, 316, 723, 519, 1761, 547, 1020, 883, 8789, 5117, 10256, 2223, 9959, 519, 4589, 563, 289, 9531, 7638, 26320, 267, 513, 1158, 6205, 538, 4152, 267, 14791, 543, 13995, 267, 814, 1044, 5697, 547, 22738, 1788, 13995, 585, 519, 5651, 599, 26156, 21369, 2842, 3484, 538, 10430, 910, 835, 540, 519, 5177, 779, 1034, 1271, 21369, 2842, 325, 1301, 3785, 3267, 634, 5651, 599, 4639, 21369, 2842, 3484, 814, 513, 7470, 4276, 4390, 540, 476, 279, 2568, 24448, 563, 29409, 599, 26156, 21369, 2842, 325, 1301, 269, 13163, 7638, 26320, 267, 513, 1158, 6205, 538, 4152, 267, 14791, 543, 13995, 267, 814, 1044, 5697, 547, 22738, 1788, 13995, 585, 519, 5651, 599, 4639, 21369, 2842, 325, 1301, 538, 10430, 910, 835, 540, 519, 5177, 781, 1034, 1271, 21369, 2842, 325, 1301, 3785, 3267, 634, 5651, 599, 4639, 21369, 2842, 325, 1301, 814, 513, 7470, 4276, 4390, 540, 476, 279, 2568, 24448, 563, 299, 331, 20477, 779, 19193, 630, 28384, 264, 814, 5828, 547, 5259, 5411, 547, 20690, 513, 1007, 11036, 6322, 693, 5885, 6928, 14935, 543, 12427, 547, 2087, 519, 6940, 543, 4398, 540, 741, 4238, 3267, 16665, 3267, 13565, 269, 2475, 21369, 2842, 325, 15767, 8043, 543, 4170, 910, 519, 700, 305, 2070, 3267, 23323, 2670, 853, 600, 520, 749, 657, 267, 700, 305, 3162, 2342, 11321, 710, 543, 5510, 17060, 8802, 1308, 9614, 267, 1767, 563, 2304, 11999, 1007, 2842, 3484, 9709, 585, 519, 19360, 545, 5032, 1131, 1665, 606, 27314, 1900, 4464, 585, 21369, 2842, 952, 621, 4991, 3710, 3267, 19423, 17060, 2842, 814, 1011, 10757, 538, 2487, 1296, 267, 9750, 476, 1321, 24670, 2094, 476, 1001, 271, 3267, 634, 4102, 5665, 21369, 2842, 325, 1301, 538, 519, 1158, 568, 476, 272, 269, 273, 28047, 267, 543, 519, 3105, 4102, 11556, 476, 279, 269, 273, 28047, 269, 0, 16524, 3856, 6399, 5794, 31301, 2137, 476, 3422, 272, 268, 1960, 271, 454, 763, 6228, 540, 1114, 1239, 13279, 1500, 5094, 9819, 540, 1279, 3856, 1611, 5210, 585, 4639, 12670, 543, 5101, 12670, 1315, 4478, 24781, 2556, 269, 1717, 267, 519, 9819, 5773, 1031, 941, 7361, 26922, 269, 634, 5650, 1058, 581, 13713, 13890, 267, 2094, 519, 3003, 5650, 1185, 547, 581, 5340, 585, 5101, 12670, 1315, 4478, 24781, 563, 763, 7084, 540, 1367, 6482, 2798, 547, 11179, 5464, 2916, 10473, 2687, 547, 519, 1646, 543, 824, 2497, 540, 741, 10450, 267, 568, 540, 3844, 2956, 585, 1585, 5933, 540, 9819, 269, 898, 729, 10924, 602, 519, 1576, 540, 5210, 693, 519, 2916, 10473, 1223, 581, 13269, 693, 519, 6482, 2798, 563, 2026, 513, 1101, 1900, 267, 713, 7084, 13087, 519, 1585, 7403, 540, 513, 6482, 7552, 547, 581, 15222, 1242, 267, 1775, 4318, 1421, 26518, 547, 513, 1448, 538, 942, 630, 341, 517, 853, 6686, 331, 335, 333, 698, 601, 476, 2735, 278, 1040, 634, 2164, 540, 519, 6482, 15143, 585, 1142, 6482, 1448, 941, 1287, 1031, 547, 5173, 513, 1611, 1871, 269, 634, 1279, 3856, 2842, 7194, 585, 476, 4198, 271, 998, 476, 3192, 271, 689, 12670, 5937, 1695, 12661, 630, 305, 22044, 518, 476, 3192, 272, 264, 941, 4294, 585, 519, 2597, 532, 540, 1367, 12220, 281, 634, 4143, 2011, 2837, 1871, 729, 22051, 585, 519, 8990, 540, 519, 1611, 1871, 676, 1797, 540, 519, 2842, 4287, 693, 519, 26518, 1448, 538, 942, 540, 1142, 5619, 267, 543, 922, 2671, 540, 519, 1279, 3856, 1611, 540, 782, 2842, 8846, 563, 763, 16879, 540, 891, 2164, 5196, 519, 1611, 5993, 2418, 585, 476, 1960, 272, 268, 8072, 10844, 1586, 8399, 539, 676, 1797, 540, 519, 6482, 2798, 8655, 547, 519, 2916, 10473, 269, 634, 2916, 10473, 16913, 519, 2837, 11179, 1282, 476, 1960, 272, 268, 8072, 10844, 269, 901, 13087, 519, 8990, 540, 1611, 2418, 585, 1022, 2016, 1448, 538, 942, 269, 634, 16879, 540, 519, 1611, 1871, 585, 519, 6482, 1448, 2838, 519, 1611, 5993, 2418, 540, 519, 2916, 6728, 543, 922, 7222, 942, 18022, 22235, 1611, 1871, 585, 519, 6482, 2798, 269, 7201, 519, 4500, 5406, 602, 519, 6753, 540, 519, 6482, 2798, 1131, 13789, 899, 741, 2404, 2916, 10473, 267, 519, 3017, 1063, 891, 1079, 2418, 6027, 693, 519, 6728, 729, 5645, 936, 547, 519, 2404, 6482, 2798, 269, 7612, 476, 274, 2982, 713, 5650, 1085, 3012, 1227, 563, 763, 1985, 1900, 729, 519, 10014, 540, 519, 7222, 6482, 7552, 2164, 585, 519, 4478, 24781, 269, 901, 1101, 1900, 13087, 519, 8990, 540, 1611, 5993, 5210, 585, 5101, 12670, 543, 519, 4478, 24781, 585, 1142, 6482, 1448, 689, 4873, 476, 1960, 272, 998, 2904, 476, 1960, 273, 630, 25938, 1805, 611, 339, 308, 332, 476, 1960, 274, 324, 1916, 288, 5912, 729, 1631, 2556, 547, 519, 1279, 3856, 1611, 585, 476, 3422, 272, 998, 476, 1960, 271, 267, 610, 267, 585, 4639, 12670, 267, 519, 7503, 540, 1611, 5993, 2418, 585, 476, 3422, 272, 268, 8072, 3199, 883, 1611, 5993, 2418, 585, 476, 3422, 272, 268, 8072, 3445, 269, 901, 5912, 1223, 581, 1152, 581, 7691, 609, 519, 948, 540, 519, 1079, 1279, 3856, 10473, 693, 667, 1695, 12661, 543, 7843, 335, 601, 327, 1993, 912, 763, 1279, 3856, 1611, 693, 1312, 10473, 585, 476, 3422, 272, 998, 476, 2735, 271, 729, 1472, 476, 271, 269, 273, 11019, 290, 2539, 982, 519, 9241, 7229, 2418, 585, 476, 3422, 272, 998, 476, 1960, 271, 630, 9743, 3482, 585, 25561, 1108, 267, 674, 308, 12670, 476, 2735, 272, 268, 8072, 3445, 543, 667, 310, 291, 476, 2735, 272, 268, 8072, 3445, 1040, 634, 16369, 540, 519, 4639, 12670, 1279, 3856, 1611, 547, 519, 1007, 1974, 8399, 539, 593, 519, 13429, 602, 713, 3017, 540, 476, 271, 269, 273, 11019, 290, 1131, 4019, 585, 782, 7262, 6482, 2798, 540, 519, 6482, 3060, 267, 543, 3976, 513, 2489, 2333, 676, 713, 7274, 540, 3017, 1131, 581, 20582, 269, 11206, 6753, 941, 519, 1152, 2127, 1141, 1100, 2242, 941, 17298, 267, 593, 519, 4493, 540, 2164, 3177, 676, 1079, 10473, 13234, 538, 519, 6182, 684, 1168, 12245, 2094, 476, 2735, 277, 563, 763, 9819, 540, 1279, 3856, 2837, 2418, 538, 5101, 12670, 543, 519, 7404, 4478, 24781, 267, 729, 12913, 593, 519, 4493, 540, 519, 1611, 2418, 7229, 585, 476, 1960, 272, 268, 8072, 10844, 267, 21630, 2687, 547, 1614, 1114, 946, 2010, 269, 8693, 10473, 941, 5697, 799, 4843, 513, 5078, 6538, 585, 519, 14374, 540, 519, 16879, 2188, 267, 1317, 789, 1185, 1044, 538, 5106, 585, 1896, 1296, 269, 634, 23621, 7124, 6288, 6728, 729, 11347, 585, 6288, 1633, 270, 4104, 6753, 269, 634, 12138, 680, 28739, 6728, 729, 10924, 547, 581, 11347, 585, 10053, 1646, 269, 589, 476, 276, 4458, 1449, 3126, 1063, 476, 3192, 276, 543, 476, 2735, 271, 729, 2139, 585, 1312, 10473, 269, 7201, 519, 13429, 602, 891, 10473, 1131, 3514, 1063, 519, 667, 1695, 12661, 543, 7843, 335, 601, 327, 1993, 1279, 3856, 5464, 10473, 538, 519, 1482, 6073, 585, 519, 1974, 476, 3192, 276, 268, 8072, 3199, 607, 585, 519, 1279, 3856, 1611, 267, 621, 729, 2009, 547, 3313, 1279, 3856, 1611, 5993, 2418, 585, 23621, 7124, 543, 12138, 680, 28739, 269, 634, 3017, 1063, 891, 1797, 543, 519, 1611, 5993, 5210, 585, 476, 1960, 272, 268, 8072, 10844, 729, 1287, 1031, 538, 519, 16879, 585, 519, 2404, 6482, 2798, 269, 7612, 476, 275, 2982, 519, 3741, 540, 713, 5650, 267, 1210, 607, 1806, 519, 12138, 680, 28739, 6728, 543, 519, 6482, 2798, 585, 10053, 1646, 563, 1607, 1184, 3177, 513, 1279, 3856, 1611, 547, 946, 538, 20327, 585, 6288, 1633, 543, 4104, 6753, 269, 898, 568, 5111, 476, 272, 269, 274, 11019, 290, 2630, 519, 1611, 5993, 2837, 585, 476, 1960, 272, 268, 8072, 10844, 269, 634, 3017, 585, 29822, 2919, 6753, 729, 827, 910, 271, 269, 279, 11019, 290, 269, 634, 1279, 3856, 6482, 6728, 667, 1695, 12661, 6719, 519, 3791, 946, 1826, 540, 23661, 1646, 269, 4706, 2047, 6027, 476, 1789, 4458, 3328, 729, 5111, 476, 272, 269, 271, 11019, 290, 2630, 519, 1611, 5993, 5210, 585, 476, 1960, 272, 268, 8072, 10844, 269, 2422, 18022, 22235, 2418, 941, 5051, 3769, 538, 519, 16879, 540, 476, 1789, 4458, 1611, 2837, 2418, 585, 5101, 12670, 543, 519, 4478, 24781, 269, 634, 31992, 540, 1367, 2418, 547, 2127, 729, 5340, 16924, 563, 10000, 11845, 540, 519, 4578, 12476, 538, 476, 1220, 271, 454, 763, 9337, 540, 519, 4786, 547, 519, 2244, 946, 3510, 540, 476, 1220, 271, 729, 5645, 856, 538, 1896, 5933, 269, 3689, 267, 519, 2164, 689, 519, 6728, 543, 7552, 7403, 941, 942, 2275, 8091, 539, 269, 2991, 891, 6151, 1239, 941, 9268, 267, 513, 18440, 540, 519, 2837, 2418, 729, 5645, 856, 269, 634, 3804, 729, 519, 10661, 540, 513, 7833, 13354, 3044, 547, 11863, 519, 1699, 1239, 540, 519, 10473, 543, 6482, 15143, 547, 581, 9411, 883, 519, 4540, 476, 1960, 274, 6538, 269, 634, 2837, 540, 519, 7634, 1974, 1223, 581, 3379, 609, 519, 7222, 1279, 3856, 2418, 676, 1797, 540, 519, 667, 1695, 12661, 4704, 6728, 563, 2690, 2127, 609, 946, 3889, 799, 1185, 4957, 2094, 476, 1960, 274, 543, 1223, 711, 581, 3769, 538, 519, 6482, 1184, 267, 606, 9337, 729, 5645, 593, 519, 4493, 540, 16726, 9382, 269, 0, 866, 4989, 476, 1960, 280, 454, 2419, 1515, 2006, 267, 18776, 12409, 11565, 454, 7343, 18193, 538, 12713, 21158, 476, 275, 763, 4270, 2492, 11565, 568, 547, 2508, 476, 6858, 260, 540, 513, 1079, 1032, 267, 1269, 3393, 332, 630, 28462, 1789, 332, 1070, 3486, 1788, 547, 5581, 930, 476, 4968, 267, 1822, 5027, 5311, 7648, 538, 519, 1480, 11646, 269, 634, 6967, 7482, 2097, 689, 513, 931, 24832, 540, 4557, 540, 519, 1158, 781, 3056, 14453, 3549, 267, 945, 723, 849, 8815, 547, 2322, 519, 9241, 4362, 1344, 2047, 883, 513, 1857, 6538, 269, 1548, 568, 3297, 713, 13778, 5698, 888, 763, 5274, 32081, 5741, 267, 799, 568, 15971, 519, 3003, 1480, 11646, 267, 568, 1813, 547, 9096, 6619, 540, 8430, 676, 476, 1220, 274, 269, 901, 5063, 9307, 931, 24832, 568, 7255, 609, 519, 1985 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1004, 786, 581, 513, 18596, 6249, 538, 519, 1739, 11271, 563, 3674, 320, 11672, 476, 6078, 268, 5655, 267, 2142, 3835, 3733, 4419, 656, 454, 300, 4215, 11711, 1879, 30037, 14753, 540, 519, 22700, 540, 519, 7083, 267, 3006, 646, 1797, 5840, 267, 3006, 519, 31050, 269, 2598, 1356, 940, 799, 666, 3006, 581, 2352, 269, 769, 713, 8574, 267, 621, 4667, 547, 581, 519, 31050, 563, 3674, 320, 11672, 476, 5655, 268, 6246, 267, 3733, 32559, 4419, 656, 454, 300, 4215, 11711, 22073, 609, 1412, 306, 532, 547, 519, 7083, 513, 1007, 5152, 10086, 713, 3296, 4422, 593, 547, 2491, 602, 519, 22700, 540, 519, 7083, 630, 29994, 538, 713, 2013, 264, 814, 1044, 16559, 1317, 540, 5289, 21901, 269, 898, 4422, 593, 547, 9153, 602, 2696, 786, 28099, 655, 5840, 543, 10826, 602, 21901, 563, 3674, 320, 11672, 476, 4510, 267, 1411, 616, 3733, 654, 5893, 525, 454, 300, 4215, 11711, 9093, 616, 16111, 15673, 539, 547, 1118, 543, 10847, 7329, 11169, 269, 634, 22445, 544, 4169, 602, 607, 18174, 880, 1145, 543, 6585, 5840, 909, 607, 513, 7198, 547, 519, 1379, 540, 2696, 538, 12095, 626, 8012, 547, 519, 13777, 1006, 540, 31561, 520, 787, 563, 3674, 320, 11672, 476, 3393, 268, 5379, 267, 7261, 6350, 519, 14655, 454, 300, 4215, 11711, 30037, 267, 1603, 3592, 513, 2540, 543, 513, 3368, 1354, 519, 2680, 267, 10567, 519, 4473, 543, 4876, 540, 7261, 6350, 519, 14655, 269, 1261, 7682, 539, 602, 782, 540, 7261, 6350, 262, 4108, 1967, 729, 30289, 547, 519, 1688, 540, 2696, 543, 602, 7261, 6350, 1131, 6494, 28311, 1394, 547, 741, 2244, 1310, 519, 20770, 1014, 24815, 269, 901, 28897, 865, 24330, 519, 4622, 602, 646, 711, 1152, 5950, 519, 7642, 855, 1710, 2331, 519, 31811, 540, 519, 13527, 563, 3674, 320, 11672, 476, 5325, 268, 4366, 267, 667, 5922, 540, 519, 30634, 1372, 753, 454, 300, 4215, 11711, 30037, 781, 28897, 729, 2854, 811, 982, 513, 2540, 1354, 519, 20770, 1014, 24815, 282, 2943, 972, 646, 10567, 519, 24815, 267, 2132, 543, 519, 10700, 9552, 540, 519, 3504, 1062, 540, 18326, 543, 7301, 10847, 6719, 676, 20770, 269, 769, 713, 646, 10301, 782, 519, 1259, 547, 519, 1439, 2053, 563, 3674, 320, 11672, 476, 5392, 267, 31050, 786, 10163, 648, 454, 300, 4215, 11711, 634, 31050, 786, 3142, 519, 16559, 608, 3796, 540, 15243, 1394, 547, 519, 8092, 269, 4256, 2338, 786, 581, 865, 1390, 602, 519, 1699, 6302, 540, 5840, 786, 711, 3411, 823, 269, 769, 713, 267, 30037, 4776, 580, 999, 519, 3152, 31519, 2854, 540, 538, 22819, 31109, 476, 1626, 563, 3674, 320, 11672, 476, 2004, 268, 7906, 267, 19067, 540, 853, 30452, 454, 300, 4215, 11711, 5221, 540, 27098, 781, 21359, 267, 2696, 786, 1118, 1315, 814, 1500, 873, 4235, 689, 519, 7484, 540, 31417, 269, 4495, 602, 7484, 814, 1044, 27071, 267, 3571, 32716, 786, 581, 2347, 543, 27098, 786, 581, 17468, 538, 18710, 269, 634, 24815, 540, 28311, 729, 2943, 2104, 547, 30037, 781, 942, 269, 4256, 2347, 11808, 568, 2943, 2104, 547, 721, 563, 3674, 320, 11672, 476, 7367, 268, 7871, 267, 1261, 1744, 718, 14109, 30257, 3509, 8315, 454, 300, 4215, 11711, 901, 851, 540, 30037, 14753, 540, 519, 18591, 540, 519, 31050, 269, 634, 17766, 540, 3571, 1973, 786, 4196, 547, 12115, 519, 21359, 540, 5840, 543, 519, 6082, 563, 3674, 320, 11672, 476, 7918, 267, 6145, 519, 17963, 540, 25424, 454, 300, 4215, 11711, 2696, 781, 9153, 585, 519, 11808, 540, 5840, 543, 13243, 269, 3807, 607, 1261, 1500, 513, 26315, 2760, 1586, 547, 6360, 519, 3618, 267, 1934, 1261, 14767, 2760, 1586, 547, 581, 14220, 609, 3571, 1004, 563, 3674, 320, 11672, 476, 4649, 268, 6321, 267, 1677, 519, 552, 684, 1276, 338, 945, 1832, 1250, 590, 13741, 23411, 454, 300, 4215, 11711, 3371, 2696, 1028, 999, 1256, 8425, 3796, 543, 1346, 945, 723, 1100, 4126, 602, 1261, 814, 513, 1747, 585, 873, 538, 3571, 10806, 269, 1280, 25232, 267, 30707, 543, 552, 684, 1276, 338, 7567, 267, 513, 1883, 568, 5329, 519, 590, 30117, 563, 3674, 320, 11672, 476, 6872, 268, 6812, 267, 1733, 558, 9894, 1411, 667, 1348, 454, 300, 4215, 11711, 634, 22445, 12100, 528, 1227, 12134, 945, 610, 1018, 729, 865, 25254, 602, 5840, 5828, 547, 7329, 11169, 2864, 982, 4250, 532, 2696, 269, 3487, 540, 519, 2626, 568, 602, 2696, 8604, 6552, 543, 4608, 2130, 6466, 7329, 11169, 6035, 7525, 11815, 2305, 563, 3674, 320, 11672, 476, 6795, 268, 2568, 267, 634, 30064, 781, 5680, 454, 300, 4215, 11711, 2696, 6450, 4157, 525, 5840, 585, 711, 1210, 519, 3656, 1062, 547, 3895, 5126, 269, 13298, 789, 616, 1210, 519, 10470, 607, 3274, 1776, 28379, 585, 1514, 6735, 269, 769, 3257, 713, 789, 723, 18955, 513, 1357, 540, 4031, 543, 6042, 2966, 547, 1671, 333, 732, 519, 17608, 269, 634, 1482, 5279, 1223, 581, 1377, 539, 1996, 721, 2221, 563, 3674, 320, 11672, 476, 8618, 268, 7830, 267, 3687, 8651, 540, 3776, 2696, 454, 300, 4215, 11711, 5675, 540, 519, 2104, 11808, 540, 5840, 267, 30037, 1045, 10280, 2592, 540, 519, 20577, 543, 23821, 2572, 538, 519, 8187, 15227, 3786, 269, 1358, 941, 6462, 676, 519, 1964, 540, 519, 4182, 865, 602, 789, 1223, 25058, 741, 942, 543, 1648, 547, 4509, 543, 7674, 538, 519, 21741, 1716, 12386, 269, 1879, 5840, 17648, 922, 1697, 1909, 607, 513, 4182, 540, 20577, 267, 789, 786, 1287, 581, 6462, 676, 519, 6082, 563, 3674, 320, 11672, 476, 8287, 267, 634, 29879, 12304, 454, 300, 4215, 11711, 16270, 3571, 2132, 267, 519, 31050, 786, 1291, 3571, 7952, 543, 786, 1349, 642, 3188, 766, 2390, 3571, 14763, 269, 10801, 23075, 267, 513, 9174, 12304, 568, 2404, 609, 2696, 781, 10385, 2390, 519, 29063, 269, 2311, 519, 1439, 540, 519, 3184, 267, 972, 568, 513, 11755, 585, 23502, 543, 519, 2132, 540, 519, 608, 3796, 563, 3674, 320, 11672, 476, 5038, 268, 4792, 267, 634, 25260, 454, 300, 4215, 11711, 5675, 936, 513, 2540, 1991, 547, 519, 20770, 1014, 24815, 267, 30037, 11339, 540, 5840, 781, 5418, 320, 689, 24815, 269, 1703, 789, 786, 11760, 602, 2696, 568, 519, 1494, 614, 543, 789, 616, 10036, 538, 3571, 3946, 269, 901, 4082, 540, 25442, 733, 761, 542, 786, 581, 519, 18463, 602, 5956, 519, 1184, 540, 11808, 563, 3674, 320, 11672, 476, 4792, 268, 5780, 267, 13458, 6145, 513, 5211, 454, 300, 4215, 11711, 1879, 713, 5137, 814, 6039, 922, 3483, 267, 972, 786, 581, 513, 1007, 24656, 543, 513, 1007, 3047, 269, 1703, 4708, 786, 2095, 547, 13243, 899, 513, 5757, 269, 0, 19604, 529, 1156, 328, 267, 670, 5953, 686, 23973, 324, 22170, 328, 281, 476, 273, 8847, 454, 19604, 529, 1156, 328, 1797, 1945, 538, 18420, 267, 16130, 269, 1403, 596, 1616, 547, 917, 519, 3169, 2495, 267, 1686, 267, 29721, 610, 2296, 8144, 540, 713, 2165, 1287, 2638, 856, 519, 11673, 593, 713, 2985, 269, 5410, 707, 6085, 610, 4704, 547, 513, 1433, 952, 596, 1616, 547, 3565, 547, 713, 5758, 2376, 563, 19604, 529, 1156, 328, 814, 476, 272, 2296, 8847, 2139, 563, 763, 16130, 2165, 670, 5953, 686, 23973, 324, 22170, 328, 666, 581, 6037, 3438, 730, 883, 2296, 607, 4498, 17470, 328, 610, 4498, 529, 1156, 328, 267, 1210, 519, 594, 17129, 6037, 28375, 10325, 630, 286, 1916, 299, 16722, 540, 3127, 543, 13383, 454, 314, 5719, 28852, 654, 23152, 614, 321, 1276, 316, 13126, 281, 595, 860, 928, 7913, 16130, 667, 17152, 281, 645, 7238, 6255, 1782, 330, 543, 681, 1054, 24162, 525, 22642, 10767, 3455, 654, 23152, 614, 321, 1276, 454, 295, 5953, 686, 23973, 324, 22170, 328, 630, 2633, 373, 14098, 364, 18028, 371, 17775, 2633, 352, 16284, 2567, 1765, 332, 269, 19121, 269, 13153, 554, 926, 23973, 324, 22170, 320, 1496, 303, 5953, 22170, 7236, 779, 513, 19816, 645, 6686, 7815, 476, 275, 267, 476, 272, 267, 476, 14631, 267, 7647, 328, 770, 2639, 306, 14234, 267, 849, 25250, 29334, 23517, 28637, 11695, 499, 5936, 481, 23371, 28440, 11165, 630, 21542, 30195, 12921, 9719, 505, 339, 600, 1070, 568, 606, 3504, 1893, 540, 3127, 4122, 2938, 607, 519, 20516, 540, 519, 21475, 26049, 1893, 1920, 630, 16838, 2296, 32656, 19171, 569, 24027, 609, 16217, 330, 761, 543, 6022, 328, 267, 16130, 568, 811, 29882, 538, 1312, 8239, 543, 2474, 543, 814, 519, 1034, 3573, 4015, 540, 3332, 538, 519, 1158, 267, 7494, 20546, 532, 922, 11078, 2000, 16722, 5259, 543, 5824, 563, 8450, 849, 630, 3725, 10589, 8847, 994, 5591, 3406, 2164, 585, 4498, 529, 1156, 328, 267, 670, 5953, 686, 23973, 324, 22170, 328, 267, 4498, 17470, 328, 282, 630, 680, 584, 1023, 1331, 281, 4498, 529, 1156, 529, 267, 670, 5953, 686, 23973, 324, 22170, 529, 267, 4498, 17470, 529, 264, 538, 1022, 1433, 610, 1650, 269, 0, 10743, 2263, 741, 2123, 3961, 998, 5373, 543, 1603, 269, 3414, 713, 2534, 267, 789, 1711, 606, 3961, 1433, 602, 5654, 693, 741, 2250, 267, 1459, 267, 543, 2104, 30441, 269, 901, 3961, 3408, 8591, 513, 4207, 5133, 547, 938, 11359, 17263, 1353, 540, 2823, 571, 8132, 538, 2475, 7810, 1686, 563, 763, 6154, 820, 8566, 756, 2125, 10266, 614, 267, 6424, 267, 11835, 13860, 267, 543, 2806, 580, 841, 28224, 267, 476, 15757, 271, 454, 21837, 267, 11835, 13860, 267, 543, 2806, 580, 841, 28224, 2982, 1614, 16254, 267, 609, 605, 1186, 602, 2285, 10881, 827, 945, 789, 786, 1831, 538, 519, 2104, 269, 6424, 267, 519, 7800, 652, 267, 568, 21039, 899, 1010, 4651, 267, 8066, 17309, 543, 513, 6972, 6529, 267, 1256, 1498, 646, 568, 1152, 5216, 1296, 2025, 267, 10771, 602, 646, 786, 1332, 909, 547, 581, 513, 9543, 2006, 543, 568, 519, 1920, 779, 5256, 25752, 269, 11835, 13860, 267, 2085, 3670, 267, 568, 8066, 513, 10178, 267, 1129, 4328, 1200, 2866, 607, 513, 1762, 14799, 543, 513, 2104, 7385, 563, 19400, 14740, 5800, 20137, 454, 268, 476, 273, 610, 476, 274, 9212, 540, 5373, 1957, 267, 1142, 476, 279, 476, 272, 270, 273, 1535, 476, 1556, 538, 563, 268, 476, 274, 9212, 540, 4070, 1957, 267, 1142, 476, 280, 1535, 476, 1321, 538, 269, 630, 12827, 547, 3514, 607, 513, 7406, 585, 519, 12400, 994, 268, 2051, 1819, 22796, 454, 26524, 547, 6333, 454, 268, 12815, 8682, 281, 1548, 568, 606, 22920, 610, 513, 5578, 596, 723, 4121, 538, 707, 6689, 602, 596, 616, 10583, 540, 286, 1548, 6698, 666, 596, 2721, 547, 2099, 707, 2250, 1582, 888, 268, 10558, 8682, 281, 5808, 616, 596, 286, 1548, 568, 835, 2189, 8984, 602, 596, 723, 888, 268, 8892, 8682, 281, 1215, 798, 596, 1616, 547, 581, 2938, 607, 606, 2937, 888, 272, 269, 570, 792, 476, 273, 610, 476, 274, 9212, 540, 476, 279, 476, 272, 270, 273, 1535, 476, 1556, 538, 269, 5373, 1957, 538, 3368, 630, 1729, 476, 279, 476, 272, 270, 273, 1535, 476, 276, 476, 272, 270, 273, 538, 4700, 543, 946, 891, 547, 17250, 856, 519, 1739, 1614, 3268, 269, 5590, 11735, 519, 4070, 1957, 547, 1118, 707, 1433, 693, 519, 1439, 563, 273, 269, 12815, 8682, 281, 2060, 707, 22796, 543, 2144, 6471, 267, 2721, 6698, 543, 2328, 1913, 593, 513, 4062, 540, 1957, 827, 1919, 602, 596, 723, 2944, 610, 2972, 3257, 543, 602, 616, 513, 851, 540, 707, 7209, 543, 5578, 1305, 267, 865, 2484, 269, 901, 786, 2099, 707, 2250, 563, 8196, 891, 4845, 26784, 547, 2253, 912, 268, 594, 993, 1434, 693, 12843, 30668, 563, 268, 594, 993, 10583, 540, 12843, 30668, 563, 268, 594, 723, 4121, 547, 12843, 1029, 563, 268, 3767, 594, 666, 23084, 563, 274, 269, 10558, 8682, 281, 1677, 2099, 3054, 538, 519, 1459, 267, 1577, 779, 2721, 513, 9420, 26048, 1582, 268, 1636, 11681, 267, 1141, 596, 1413, 1152, 693, 519, 1641, 596, 616, 5373, 543, 711, 693, 707, 1957, 269, 18391, 538, 519, 11604, 630, 18484, 1406, 32708, 693, 707, 1957, 256, 1070, 1376, 538, 835, 1747, 543, 1847, 707, 3750, 543, 15513, 1472, 519, 1641, 11179, 267, 1510, 17666, 909, 707, 15513, 689, 519, 1957, 269, 1879, 596, 723, 6192, 5373, 707, 3068, 267, 596, 666, 1491, 513, 1413, 693, 1018, 596, 4076, 6537, 543, 2328, 1913, 602, 1796, 585, 945, 596, 616, 1472, 707, 5373, 267, 1210, 519, 12987, 2630, 912, 268, 1548, 568, 707, 2012, 543, 2085, 286, 1548, 616, 707, 21770, 888, 268, 1548, 4654, 798, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5153, 476, 272, 281, 2598, 6618, 519, 1379, 2707, 5612, 563, 268, 5153, 476, 273, 281, 6744, 585, 1022, 7298, 7063, 543, 3343, 2564, 3007, 952, 2556, 563, 268, 5153, 476, 274, 281, 1403, 519, 1268, 568, 17499, 610, 711, 7244, 267, 1685, 31214, 952, 596, 616, 8036, 547, 798, 865, 563, 268, 5153, 476, 275, 281, 13555, 6595, 2533, 610, 513, 11727, 3167, 1014, 585, 2417, 6351, 563, 304, 273, 281, 1548, 616, 519, 9963, 4191, 540, 5122, 2042, 538, 513, 1753, 888, 16100, 856, 585, 519, 1739, 9963, 4191, 602, 949, 5815, 5122, 2042, 538, 707, 1753, 912, 268, 674, 5585, 1359, 610, 3897, 2719, 8279, 454, 268, 32279, 2468, 5529, 5547, 2736, 619, 610, 27762, 535, 4926, 454, 268, 8738, 940, 24462, 610, 8966, 30851, 4947, 689, 19093, 610, 5122, 3457, 454, 268, 27910, 532, 610, 11523, 1782, 4992, 950, 1210, 5122, 14233, 454, 2252, 596, 5469, 1022, 540, 891, 9963, 4191, 267, 621, 568, 2629, 547, 723, 513, 3318, 3167, 1014, 8524, 707, 5122, 1062, 547, 2697, 543, 6439, 1518, 1022, 1761, 2152, 563, 304, 274, 281, 1215, 666, 594, 2061, 5122, 11642, 888, 7093, 28124, 5122, 11642, 3340, 14942, 3800, 543, 4656, 269, 3371, 616, 930, 4388, 547, 948, 596, 7413, 519, 1981, 540, 5122, 11642, 912, 268, 3680, 20358, 532, 19093, 610, 10137, 27871, 563, 268, 5901, 1166, 30100, 2326, 2476, 689, 3002, 2959, 543, 5122, 3457, 563, 268, 17115, 2973, 543, 2226, 707, 5122, 14233, 547, 2061, 7452, 19221, 563, 268, 12305, 8673, 22572, 593, 1169, 1377, 540, 707, 1753, 543, 1449, 873, 5781, 563, 3528, 1739, 891, 15416, 267, 596, 666, 3648, 2569, 519, 8458, 540, 5122, 11642, 543, 2327, 519, 3106, 540, 707, 1753, 563, 304, 275, 281, 2052, 594, 946, 1216, 547, 24773, 880, 606, 5122, 3595, 888, 5591, 267, 621, 568, 5393, 5906, 547, 946, 1216, 547, 24773, 880, 606, 5122, 3595, 269, 4826, 29377, 5201, 543, 666, 1267, 538, 3167, 8710, 610, 6850, 322, 1081, 269, 5502, 267, 946, 513, 3595, 24773, 8718, 4481, 2966, 585, 5122, 11642, 267, 971, 607, 513, 4147, 595, 3595, 24773, 8718, 269, 898, 568, 2629, 547, 917, 519, 4087, 540, 3595, 24773, 29913, 538, 707, 1753, 543, 24559, 3054, 609, 741, 1697, 946, 563, 304, 276, 281, 1215, 1419, 1058, 594, 1449, 1250, 5122, 19093, 888, 2005, 568, 5227, 547, 1449, 707, 5122, 19093, 693, 2547, 2899, 513, 3923, 547, 2327, 789, 616, 8647, 7157, 269, 1411, 666, 946, 513, 11690, 2987, 5547, 512, 6856, 610, 3346, 513, 13931, 3167, 1014, 547, 1685, 513, 811, 3102, 14791, 269, 8617, 4152, 2337, 2697, 1022, 11443, 2152, 610, 25768, 19093, 602, 949, 10460, 513, 3106, 1981, 563, 304, 277, 281, 3657, 1379, 17446, 543, 10006, 2149, 832, 519, 1482, 3364, 888, 4407, 1379, 17446, 543, 10006, 2149, 832, 949, 1413, 2147, 267, 789, 4196, 1114, 5301, 269, 5295, 17446, 616, 3457, 602, 1450, 2789, 3457, 547, 581, 726, 28289, 883, 513, 2582, 17752, 269, 31048, 2149, 832, 267, 593, 519, 824, 1688, 267, 1683, 606, 3773, 4494, 540, 4027, 1996, 1379, 1147, 2471, 602, 666, 3441, 6213, 11418, 269, 1879, 11449, 1379, 17446, 267, 1413, 585, 1346, 602, 1331, 10006, 4027, 547, 16102, 707, 3457, 689, 6727, 6453, 26389, 563, 16978, 3740, 3106, 1058, 2760, 581, 3144, 21066, 269, 1635, 1739, 891, 1898, 5122, 3106, 4388, 267, 596, 666, 1711, 513, 10930, 1604, 585, 3054, 543, 707, 6068, 3283, 269, 5457, 547, 2057, 20358, 532, 19093, 267, 5781, 8524, 543, 2226, 707, 5122, 1949, 267, 543, 1491, 7525, 2962, 538, 519, 2680, 540, 606, 5122, 6595, 269, 26875, 1944, 5122, 3106, 2221, 666, 2061, 10913, 267, 7063, 267, 543, 14427, 3441, 538, 519, 2104, 269, 0, 7072, 281, 16871, 513, 12655, 8892, 454, 16675, 11272, 23663, 1107, 634, 16669, 2872, 568, 693, 513, 3444, 30030, 267, 5275, 4244, 3435, 547, 2569, 922, 2825, 1764, 1247, 5870, 519, 2479, 21212, 3747, 585, 6283, 269, 769, 713, 1391, 585, 4264, 10688, 267, 519, 968, 16675, 11272, 25024, 2961, 892, 19674, 607, 513, 3014, 7302, 9734, 269, 1635, 19713, 519, 1379, 540, 5201, 267, 713, 12316, 6174, 3091, 513, 22928, 543, 811, 3608, 7154, 540, 6283, 267, 23376, 721, 2509, 513, 15777, 543, 17321, 2104, 563, 16675, 11272, 2961, 281, 634, 9210, 527, 727, 540, 20885, 454, 763, 5682, 11272, 25024, 2961, 568, 513, 14952, 540, 4702, 602, 10905, 4359, 2029, 543, 10357, 23655, 1374, 269, 1635, 13461, 593, 3167, 1379, 267, 621, 23352, 519, 991, 585, 8093, 10173, 267, 20427, 4227, 5739, 5434, 602, 3565, 547, 2011, 5533, 543, 2916, 1689, 269, 2913, 779, 5490, 4514, 883, 519, 7415, 2934, 602, 1118, 713, 1286, 513, 3090, 540, 6940, 563, 3725, 23728, 776, 17972, 540, 519, 5682, 11272, 25024, 2961, 454, 272, 269, 28981, 7232, 323, 613, 23996, 5303, 281, 623, 3058, 519, 10158, 585, 27326, 16186, 454, 3080, 540, 519, 2565, 3334, 540, 519, 5682, 11272, 25024, 2961, 568, 922, 1533, 6361, 7308, 19603, 6007, 2029, 269, 623, 10062, 676, 1164, 32728, 13369, 16864, 23760, 9075, 267, 621, 3091, 606, 11141, 2039, 602, 6087, 10256, 547, 7832, 593, 3476, 15322, 1510, 519, 5855, 540, 4881, 856, 540, 1379, 269, 2060, 1142, 8429, 1032, 267, 7760, 538, 6007, 2029, 3136, 547, 8831, 519, 2039, 267, 1818, 3167, 6472, 513, 14323, 4781, 585, 3232, 862, 5024, 607, 1134, 607, 1279, 26591, 2951, 563, 273, 269, 21826, 932, 1173, 532, 24486, 281, 1230, 1597, 1466, 693, 2659, 674, 532, 1068, 2354, 454, 2414, 2232, 519, 4161, 540, 12123, 3167, 6472, 267, 606, 3573, 3060, 540, 12123, 10473, 814, 1044, 3964, 269, 1452, 10473, 267, 21825, 5116, 538, 1585, 6753, 267, 1450, 5682, 11272, 25024, 2961, 5411, 547, 5279, 741, 6472, 10375, 569, 543, 24847, 269, 2060, 4028, 12123, 7207, 267, 10256, 666, 22507, 741, 6517, 538, 513, 6824, 540, 519, 942, 621, 3576, 538, 519, 2250, 267, 1818, 3167, 6472, 811, 4052, 585, 4948, 946, 563, 274, 269, 6052, 3204, 523, 3130, 281, 4498, 1145, 532, 5295, 689, 10738, 454, 3080, 540, 519, 19782, 1190, 2934, 540, 519, 5682, 11272, 25024, 2961, 568, 922, 2702, 547, 16956, 4733, 1648, 1247, 593, 519, 1847, 269, 3414, 27532, 29584, 267, 519, 1286, 19306, 543, 17838, 15452, 1648, 883, 5122, 1648, 267, 799, 568, 1287, 6740, 538, 519, 6007, 269, 901, 5499, 2029, 711, 1152, 10597, 519, 1286, 779, 2039, 855, 849, 12366, 3278, 1648, 4398, 267, 1818, 621, 606, 10357, 7888, 3903, 585, 13476, 6857, 10256, 563, 275, 269, 590, 548, 2131, 543, 17224, 17871, 5071, 281, 26805, 28463, 267, 7665, 30093, 21252, 454, 763, 5682, 11272, 25024, 2961, 19646, 513, 31933, 543, 7098, 17871, 1374, 602, 711, 1152, 7140, 9843, 855, 849, 5713, 513, 4052, 3483, 269, 1635, 10893, 8749, 543, 17306, 25312, 267, 519, 1286, 779, 1374, 6971, 1648, 4616, 267, 3850, 621, 547, 3382, 811, 3845, 593, 513, 2582, 5279, 269, 3958, 267, 519, 946, 540, 17426, 2326, 538, 519, 1286, 779, 4070, 2417, 10597, 922, 4398, 267, 1818, 621, 513, 4395, 14725, 1676, 538, 519, 7706, 540, 3167, 6472, 563, 11902, 17988, 827, 519, 5682, 11272, 25024, 2961, 454, 272, 269, 1215, 2484, 666, 519, 5682, 11272, 25024, 2961, 2951, 593, 513, 2582, 5279, 888, 763, 2039, 540, 519, 5682, 11272, 25024, 2961, 9775, 4470, 593, 519, 1808, 2203, 543, 6007, 4390, 269, 2201, 3328, 267, 1034, 3167, 6517, 2709, 513, 2039, 540, 476, 1220, 547, 476, 4968, 5195, 630, 17168, 547, 476, 21878, 12919, 264, 593, 513, 2582, 5279, 269, 1717, 267, 7760, 538, 6007, 2029, 616, 7683, 11319, 891, 6302, 267, 609, 930, 3631, 1631, 20546, 532, 519, 476, 6110, 28902, 1665, 630, 25953, 12919, 1916, 273, 269, 1215, 1279, 1281, 621, 1491, 547, 5279, 519, 5682, 11272, 25024, 2961, 888, 2419, 1173, 532, 942, 585, 519, 5682, 11272, 25024, 2961, 5673, 593, 519, 12123, 1505, 543, 519, 6007, 779, 4390, 269, 2060, 3728, 7302, 1173, 532, 10473, 267, 519, 1286, 666, 3914, 476, 3199, 260, 5279, 538, 5111, 476, 1789, 3764, 269, 1717, 267, 1210, 513, 3044, 12123, 17752, 693, 1753, 949, 1491, 1896, 3108, 547, 4628, 5279, 519, 6174, 269, 898, 779, 1271, 547, 4063, 602, 12123, 2053, 3136, 547, 2087, 607, 12123, 5989, 27372, 563, 274, 269, 3657, 972, 2614, 12123, 10473, 585, 519, 5682, 454, 25821, 25024, 2961, 888, 2026, 519, 8560, 540, 3167, 6472, 5170, 547, 4473, 267, 865, 1281, 519, 5989, 5885, 873, 269, 3509, 2477, 543, 4872, 723, 1044, 10115, 538, 519, 10380, 540, 12123, 10473, 267, 4180, 602, 5682, 11272, 25024, 2961, 5411, 723, 10375, 1569, 547, 12123, 6703, 269, 2060, 519, 2479, 7721, 335, 21505, 3060, 540, 12123, 10473, 267, 519, 6161, 827, 4466, 513, 12123, 1448, 568, 6385, 32033, 267, 1818, 519, 5682, 11272, 25024, 2961, 513, 14323, 4781, 585, 3232, 862, 5024, 543, 1279, 26591, 2951, 563, 275, 269, 1215, 1281, 519, 5682, 11272, 25024, 2961, 3565, 547, 4227, 8511, 3154, 5434, 888, 763, 5682, 11272, 25024, 2961, 4249, 513, 1713, 1909, 538, 4227, 8511, 3154, 5434, 269, 1635, 4881, 9003, 593, 3167, 1379, 267, 621, 23352, 2766, 335, 6559, 5434, 602, 616, 11342, 538, 2757, 4835, 13674, 2599, 6472, 269, 1306, 513, 1267, 267, 621, 8309, 547, 15777, 2011, 543, 513, 5786, 538, 5739, 14107, 971, 607, 3327, 8166, 543, 9436, 27911, 269, 22732, 532, 547, 3167, 6472, 899, 519, 5682, 11272, 25024, 2961, 568, 513, 2629, 1900, 538, 28530, 2916, 1689, 543, 2870, 513, 811, 4264, 2104, 269, 5682, 11272, 23663, 454, 276, 269, 3657, 972, 1022, 2883, 15314, 585, 11449, 513, 5682, 11272, 25024, 2961, 888, 6624, 6608, 543, 3906, 1472, 519, 1158, 2709, 2883, 15314, 547, 5000, 519, 10073, 540, 3167, 6472, 269, 1452, 15314, 666, 1331, 3454, 17099, 267, 6450, 919, 267, 610, 24307, 602, 2569, 519, 909, 12506, 1942, 540, 11449, 513, 5682, 11272, 25024, 2961, 269, 3958, 267, 930, 4525, 1683, 2640, 971, 607, 4389, 17167, 12375, 267, 1863, 18736, 267, 610, 1569, 547, 15790, 944, 28961, 267, 2417, 10996, 643, 1944, 519, 6467, 547, 3167, 6472, 269, 1452, 15314, 711, 1152, 1118, 3167, 6472, 811, 10097, 855, 849, 948, 547, 3895, 741, 7839, 10073, 563, 277, 269, 1548, 568, 519, 14438, 540, 519, 5682, 11272, 25024, 2961, 779, 6007, 888, 763, 14438, 540, 519, 5682, 11272, 25024, 2961, 779, 6007, 666, 4268, 4470, 593, 1896, 2188, 267, 1519, 6165, 267, 12123, 6208, 267, 543, 2825, 2175, 269, 2201, 3328, 267, 3167, 6174, 9075, 616, 2966, 547, 2063, 585, 1896, 1296, 267, 3335, 8151, 689, 476, 279, 547, 476, 1428, 1296, 269, 1306, 6007, 2029, 5170, 547, 4434, 267, 519, 14438, 540, 3167, 6174, 9075, 568, 4397, 547, 2087, 2417, 267, 4180, 1279, 3856, 15006, 543, 2773, 269, 5682, 11272, 23663, 454, 6962, 281, 32010, 27870, 513, 12655, 8892, 454, 763, 5682, 11272, 25024, 2961, 4564, 513, 17565, 6521, 538, 519, 16669, 2872, 267, 8508, 6940, 1510, 18731, 2773, 610, 2511, 269, 2060, 5969, 12967, 2029, 267, 6905, 2039, 267, 543, 4028, 12123, 5989, 267, 621, 814, 1831, 5051, 2312, 602, 3167, 6472, 616, 519, 1259, 4464, 269, 1306, 4145, 827, 2916, 1689, 543, 2825, 12159, 3136, 547, 1332, 267, 519, 5682, 11272, 25024, 2961, 3091, 513, 9621, 3070, 267, 3648, 4227, 8511, 3154, 5434, 543, 22338, 519, 1259, 585, 513, 15777, 543, 22928, 2104, 563, 3383, 267, 952, 596, 2461, 6236, 707, 1985, 1286, 6718, 267, 1589, 827, 519, 5682, 11272, 25024, 2961, 12544, 6174, 602, 711, 1152, 6770, 10761, 547, 707, 6117, 1995, 855, 849, 2306, 513, 2318, 1764, 593, 519, 1604, 269, 1635, 7446, 519, 5682, 11272, 25024, 2961, 267, 596, 3565, 547, 4227, 2011, 5533, 267, 28530, 2916, 1689, 267, 543, 6117, 721, 6251, 547, 513, 4264, 2104, 269, 5682, 11272, 23663, 0, 2304, 4244, 2707, 540, 1379, 602, 814, 2965, 1044, 1472, 585, 1896, 1296, 269, 898, 568, 1851, 938, 1034, 726, 550, 3814, 569, 1106, 540, 1648, 2943, 1869, 3810, 711, 1373, 1031, 8246, 269, 9891, 1648, 24865, 689, 519, 6129, 269, 634, 6129, 568, 2877, 585, 2291, 1878, 540, 782, 2713, 1919, 593, 938, 4541, 269, 634, 1648, 540, 519, 6129, 568, 513, 6024, 1353, 676, 3173, 585, 922, 3875, 17053, 3096, 563, 2467, 616, 13907, 540, 10274, 593, 519, 5769, 799, 7866, 596, 547, 875, 547, 798, 713, 269, 2368, 540, 891, 4566, 616, 1434, 543, 930, 711, 865, 1390, 269, 1403, 596, 1616, 547, 1451, 875, 547, 4020, 707, 1378, 9891, 8470, 5265, 267, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3698, 6873, 540, 29178, 1040, 910, 9041, 31466, 3559, 20698, 928, 879, 318, 267, 4119, 476, 1704, 476, 1001, 272, 267, 12995, 676, 9041, 29445, 4802, 570, 269, 17566, 8862, 520, 1562, 318, 267, 4119, 476, 1704, 476, 1001, 272, 692, 260, 290, 634, 18304, 540, 16975, 540, 519, 1256, 2338, 538, 713, 5311, 616, 519, 631, 619, 26413, 22136, 267, 589, 1822, 5780, 279, 269, 1452, 1256, 2338, 616, 538, 589, 6187, 272, 4792, 273, 269, 910, 9041, 295, 691, 332, 583, 674, 269, 654, 269, 14208, 1111, 318, 267, 2904, 476, 6860, 476, 1001, 276, 692, 260, 290, 10606, 562, 815, 533, 22677, 336, 910, 476, 272, 1070, 1141, 533, 568, 513, 6305, 267, 971, 602, 630, 335, 317, 336, 910, 476, 272, 19422, 335, 910, 476, 272, 264, 568, 6305, 269, 3973, 7117, 1590, 581, 513, 6305, 602, 1281, 711, 7941, 533, 910, 476, 272, 269, 910, 9041, 24171, 18103, 22603, 318, 267, 8734, 476, 1240, 476, 1001, 278, 692, 260, 295, 570, 269, 667, 269, 3143, 324, 543, 6424, 654, 269, 14355, 267, 2999, 320, 27430, 6889, 270, 288, 271, 2537, 3707, 11486, 271, 2537, 3707, 17902, 22969, 8368, 540, 562, 267, 513, 3799, 264, 585, 562, 815, 476, 272, 907, 1911, 876, 9572, 320, 285, 692, 260, 335, 715, 281, 284, 476, 1015, 317, 279, 281, 1948, 547, 1205, 782, 13366, 10922, 715, 692, 260, 335, 2398, 1307, 281, 284, 2824, 263, 529, 18905, 267, 1496, 273, 267, 572, 336, 263, 273, 265, 328, 266, 272, 267, 1775, 284, 272, 907, 28776, 9230, 6912, 18217, 9984, 272, 8358, 273, 4297, 8079, 1384, 260, 335, 623, 273, 281, 284, 2824, 6025, 9847, 630, 339, 3436, 476, 273, 543, 512, 2999, 476, 272, 1341, 24924, 690, 273, 18217, 24270, 2398, 1307, 17107, 260, 335, 524, 1343, 281, 284, 2715, 572, 336, 263, 572, 336, 8443, 335, 267, 336, 3910, 335, 284, 7468, 1307, 1070, 7117, 284, 303, 273, 14587, 9769, 2715, 314, 273, 267, 273, 316, 348, 1384, 260, 335, 535, 281, 284, 22876, 9638, 336, 264, 2199, 512, 25814, 16963, 260, 335, 512, 281, 284, 533, 336, 314, 272, 316, 22677, 335, 336, 314, 273, 316, 268, 272, 32007, 260, 335, 952, 512, 10922, 715, 543, 568, 18905, 9230, 339, 265, 335, 336, 314, 272, 316, 268, 272, 19422, 335, 336, 314, 272, 316, 268, 272, 4297, 1287, 512, 3116, 715, 26097, 535, 328, 692, 260, 335, 1439, 22876, 1384, 260, 335, 4786, 6600, 22698, 1343, 32007, 260, 335, 1948, 952, 1210, 32712, 476, 1556, 610, 4505, 267, 9296, 618, 519, 1985, 1899, 692, 260, 335, 1948, 4990, 263, 935, 3200, 263, 9077, 4289, 4297, 282, 1948, 9041, 27144, 5840, 318, 267, 3967, 476, 1724, 476, 1001, 276, 692, 260, 339, 8564, 314, 16186, 314, 476, 1911, 1822, 476, 3910, 11788, 304, 314, 6555, 529, 528, 306, 7950, 314, 476, 272, 267, 1948, 9948, 9948, 261, 9948, 30916, 9041, 21837, 654, 269, 14355, 318, 2608, 2020, 260, 339, 2776, 12323, 314, 15675, 314, 305, 1052, 314, 8099, 271, 316, 317, 273, 267, 11788, 304, 314, 19667, 529, 528, 306, 7950, 314, 272, 267, 258, 14963, 261, 3910, 273, 316, 30916, 9041, 19604, 3272, 623, 269, 667, 1446, 318, 267, 5463, 476, 1321, 476, 1001, 271, 2608, 2020, 260, 334, 630, 303, 2752, 296, 264, 585, 3287, 284, 272, 267, 1911, 271, 267, 604, 263, 529, 18905, 4433, 7950, 3287, 24270, 2745, 3287, 30727, 1315, 265, 808, 5282, 595, 913, 10098, 630, 329, 5282, 322, 913, 10098, 263, 2969, 264, 344, 1695, 5622, 2593, 1070, 5463, 476, 2537, 476, 1220, 275, 2608, 270, 692, 260, 334, 630, 303, 2752, 296, 264, 1592, 263, 3916, 6661, 3240, 17635, 284, 8266, 8443, 273, 316, 4297, 282, 585, 18905, 9638, 284, 273, 267, 6912, 842, 263, 3916, 315, 284, 272, 1070, 952, 263, 529, 18905, 9638, 317, 273, 266, 335, 266, 272, 1070, 1592, 1584, 17635, 28872, 317, 273, 4297, 5148, 585, 21163, 16216, 284, 275, 267, 8421, 842, 263, 3916, 267, 273, 1070, 273, 267, 585, 18905, 9638, 284, 273, 267, 6912, 333, 842, 263, 3916, 267, 324, 1070, 952, 263, 529, 18905, 9230, 335, 22677, 324, 266, 272, 9984, 272, 19422, 335, 268, 272, 24270, 1592, 1584, 17635, 28872, 317, 324, 4297, 4297, 282, 5590, 17635, 264, 8607, 9041, 28846, 681, 4279, 5264, 10001, 318, 267, 4119, 476, 1704, 476, 1001, 272, 282, 8242, 7325, 476, 2420, 476, 1001, 277, 692, 260, 334, 630, 7246, 294, 7246, 264, 1496, 333, 281, 562, 538, 1496, 272, 907, 273, 265, 1015, 317, 277, 316, 1923, 1772, 28269, 263, 11764, 8170, 19667, 30583, 3799, 4297, 22049, 12262, 9041, 309, 4532, 523, 15605, 8644, 8681, 328, 318, 267, 2904, 476, 4962, 476, 1001, 276, 692, 260, 334, 630, 23911, 2020, 260, 334, 689, 1623, 6853, 1104, 568, 18905, 267, 27708, 5334, 7950, 692, 260, 334, 589, 271, 2537, 3707, 8217, 815, 1496, 273, 27994, 314, 333, 1262, 273, 585, 562, 538, 2039, 263, 272, 267, 1015, 1262, 274, 264, 952, 568, 18905, 5560, 643, 529, 528, 5334, 7950, 3799, 1262, 273, 4297, 316, 1948, 9041, 2419, 2967, 654, 1695, 18961, 318, 267, 7325, 476, 1691, 476, 1001, 277, 692, 260, 312, 595, 325, 269, 589, 271, 4649, 277, 4343, 630, 1492, 4009, 5072, 540, 519, 10945, 538, 713, 5311, 6393, 260, 312, 595, 325, 269, 589, 271, 2537, 4198, 630, 1492, 22136, 3812, 676, 891, 562, 6393, 260, 298, 1875, 333, 267, 324, 6470, 19885, 823, 692, 260, 302, 476, 272, 267, 272, 692, 260, 288, 9041, 21837, 654, 269, 14355, 318, 692, 16100, 1575, 1923, 8080, 1923, 26264, 1923, 19193, 1923, 8535, 1923, 18140, 476, 273, 1923, 5915, 657, 1923, 12039, 1923, 25873, 1923, 2859, 1923, 5680, 23173, 454, 6944, 25572, 1007, 694, 336, 269, 610, 6085, 1923, 14474, 1923, 13910, 16847, 1923, 3690, 13257, 1923, 8111, 572, 2131, 518, 1923, 10765, 1923, 2859, 3817, 454, 763, 31643, 3041, 7991, 1923, 19321, 539, 676, 634, 31643, 3041, 7690, 5549, 780, 8310, 9168, 5181, 476, 2420, 476, 1428, 281, 1626, 29269, 476, 1001, 279, 269, 1230, 13935, 476, 25628, 17734, 9696, 269, 630, 305, 7342, 593, 522, 324, 529, 275, 4700, 0, 10112, 612, 11359, 3446, 6824, 2035, 1519, 6697, 8454, 4946, 609, 7429, 32159, 16789, 8454, 543, 6404, 2338, 269, 1703, 616, 2947, 1966, 2010, 547, 3442, 689, 780, 763, 6096, 2201, 901, 8525, 3629, 20113, 2334, 14424, 17773, 1656, 4855, 5871, 9324, 7631, 17773, 6096, 15026, 4569, 6096, 24951, 17773, 692, 2162, 4982, 20884, 8454, 3211, 891, 8454, 3211, 723, 9343, 540, 6697, 8454, 1142, 609, 2901, 519, 19362, 610, 14009, 2451, 10145, 780, 13420, 20884, 8454, 4976, 3446, 476, 276, 2626, 1883, 269, 4841, 1590, 2328, 538, 519, 7508, 19362, 610, 14009, 547, 1118, 519, 8454, 538, 1142, 1966, 3160, 269, 1452, 3446, 476, 276, 3211, 1683, 2259, 538, 4946, 543, 18946, 8454, 609, 1312, 899, 543, 7429, 32159, 269, 1452, 3211, 616, 7824, 780, 1607, 6824, 4976, 786, 5352, 476, 1015, 6697, 8454, 2042, 829, 4976, 269, 25506, 543, 5352, 6697, 3029, 540, 4122, 1031, 8454, 17447, 543, 25576, 757, 269, 476, 2641, 9708, 1644, 547, 6697, 8454, 4976, 3446, 476, 276, 2626, 1883, 780, 29002, 899, 8454, 269, 1411, 949, 2824, 1063, 476, 1015, 476, 1428, 476, 736, 610, 476, 1789, 2042, 585, 1142, 4976, 269, 12989, 616, 3670, 8747, 540, 938, 3446, 476, 276, 2979, 4976, 593, 28976, 1697, 8454, 780, 10743, 1590, 27682, 519, 8454, 952, 2009, 538, 741, 14724, 1106, 1106, 609, 519, 9803, 2009, 14009, 269, 476, 276, 628, 3446, 6697, 8454, 7792, 3211, 269, 3763, 1620, 540, 8454, 607, 2694, 540, 1770, 17783, 607, 2694, 540, 513, 4015, 607, 6753, 593, 1297, 3515, 543, 607, 15523, 540, 2898, 2338, 780, 4322, 8454, 3211, 786, 3132, 6697, 6824, 2042, 609, 1114, 6746, 2209, 543, 32159, 269, 5239, 476, 1428, 476, 1708, 271, 676, 14721, 269, 6096, 2979, 3446, 476, 276, 8454, 14291, 28976, 8454, 780, 4415, 713, 4976, 11718, 596, 666, 1118, 3211, 585, 6697, 8454, 269, 634, 4976, 666, 1331, 2042, 609, 3308, 3631, 2650, 2592, 610, 711, 269, 634, 2875, 786, 6445, 538, 519, 7508, 6746, 2209, 543, 32159, 585, 519, 6697, 8454, 780, 11754, 899, 8454, 269, 5565, 8454, 616, 2016, 609, 476, 273, 8900, 2650, 2592, 547, 2681, 538, 552, 575, 269, 476, 274, 476, 279, 476, 274, 476, 275, 476, 279, 780, 274, 476, 279, 476, 275, 476, 279, 1039, 8454, 543, 6404, 2338, 269, 2290, 6824, 538, 519, 4737, 540, 6697, 8454, 786, 581, 2854, 609, 1312, 519, 19362, 543, 14009, 269, 6096, 2979, 3446, 476, 276, 8454, 14291, 6697, 8454, 780, 11754, 10208, 899, 543, 7429, 8454, 269, 4982, 20884, 8454, 4976, 3446, 476, 276, 2626, 1883, 269, 25166, 3876, 1697, 8454, 538, 741, 14724, 1106, 780, 10870, 951, 519, 1739, 1983, 269, 4982, 20884, 8454, 585, 3446, 476, 276, 269, 12989, 616, 3670, 8747, 540, 938, 3446, 476, 276, 2979, 4976, 593, 6697, 8454, 780, 5278, 540, 519, 3211, 585, 713, 1523, 616, 3446, 476, 276, 8454, 960, 3446, 476, 276, 8454, 960, 6697, 8454, 960, 2979, 7882, 1054, 3446, 476, 276, 536, 6697, 8454, 3818, 4124, 272, 6697, 8454, 543, 9236, 8454, 616, 596, 1250, 6697, 8454, 1697, 780, 3519, 3200, 8555, 704, 17773, 1677, 24908, 17773, 476, 272, 717, 604, 476, 272, 476, 1822, 476, 272, 476, 29848, 623, 1460, 1564, 17773, 6096, 8555, 704, 17773, 17773, 692, 22706, 476, 276, 17773, 6096, 4982, 20884, 17773, 918, 276, 4804, 17773, 6096, 4982, 20884, 17773, 17773, 6096, 6103, 476, 276, 692, 13420, 20884, 17773, 8018, 17773, 6096, 4982, 20884, 17773, 17773, 692, 2918, 4982, 20884, 17773, 8018, 8382, 6206, 1323, 9508, 589, 3397, 657, 345, 589, 31310, 345, 2201, 26964, 769, 476, 1708, 271, 4569, 17773, 6096, 17773, 6096, 4569, 17773, 692, 280, 6096, 2201, 22217, 4328, 17773, 1280, 476, 277, 628, 27240, 619, 4569, 17773, 6096, 17773, 6096, 22217, 4328, 17773, 692, 293, 10330, 6096, 15026, 17773, 6096, 1280, 11334, 17773, 6096, 4569, 17773, 6096, 13174, 6096, 918, 338, 273, 692, 10403, 26271, 8018, 31098, 4279, 1280, 24951, 17773, 18103, 1359, 17773, 18264, 322, 17773, 6096, 4569, 17773, 6096, 24951, 17773, 692, 13420, 20884, 17773, 8018, 17773, 6096, 4569, 17773, 4982, 20884, 17773, 692, 10403, 623, 14040, 26271, 8342, 4982, 20884, 17773, 4569, 17773, 4982, 20884, 17773, 17773, 6096, 692, 280, 6096, 1280, 28552, 4982, 20884, 17773, 17773, 6096, 4569, 17773, 6096, 17773, 6096, 6103, 476, 275, 692, 303, 514, 1635, 2871, 4068, 30434, 2201, 8575, 279, 327, 3901, 11986, 17773, 6096, 4982, 20884, 17773, 17773, 692, 280, 6096, 1280, 28552, 4982, 20884, 17773, 17773, 6096, 4569, 17773, 6096, 17773, 6096, 6103, 476, 275, 692, 15124, 518, 20537, 2107, 10815, 20537, 24951, 17773, 17773, 6096, 24951, 17773, 17773, 692, 29222, 6096, 1677, 6435, 8866, 4855, 4982, 20884, 17773, 17773, 6096, 4569, 17773, 6096, 4982, 20884, 17773, 692, 15124, 518, 20537, 10815, 20537, 6096, 17773, 6096, 4569, 17773, 6096, 24951, 17773, 692, 293, 3555, 853, 8692, 4982, 20884, 17773, 1230, 1955, 10402, 525, 17793, 764, 542, 525, 4982, 20884, 525, 17793, 764, 542, 525, 1234, 15479, 657, 631, 622, 15122, 657, 692, 15124, 518, 20537, 10815, 20537, 6096, 17773, 6096, 4569, 17773, 6096, 4569, 17773, 692, 13420, 20884, 17773, 8018, 17773, 6096, 4982, 20884, 17773, 17773, 0, 258, 4569, 11525, 3809, 692, 288, 5619, 540, 7641, 13156, 6208, 540, 476, 2004, 2367, 543, 476, 2004, 2021, 1336, 519, 1739, 1344, 281, 2986, 519, 476, 2004, 2367, 267, 476, 736, 4782, 8384, 13836, 543, 476, 1789, 4782, 11176, 269, 2986, 519, 476, 2004, 2021, 267, 476, 1839, 4782, 8384, 13836, 543, 476, 1839, 4782, 11176, 269, 20472, 513, 1239, 3349, 585, 713, 1239, 543, 2626, 713, 2243, 281, 4934, 540, 519, 3003, 5619, 267, 1018, 568, 519, 5506, 540, 7446, 513, 4807, 945, 27422, 11176, 2496, 272, 269, 476, 271, 454, 273, 269, 476, 277, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 17438, 692, 288, 5619, 540, 7641, 13156, 6208, 540, 476, 2004, 2367, 543, 476, 2004, 2021, 1336, 519, 1739, 1344, 281, 2986, 519, 476, 2004, 2367, 267, 476, 736, 4782, 8384, 13836, 543, 476, 1789, 4782, 11176, 269, 2986, 519, 476, 2004, 2021, 267, 476, 1839, 4782, 8384, 13836, 543, 476, 1839, 4782, 11176, 563, 273, 269, 12693, 2979, 28135, 692, 13729, 909, 519, 14275, 543, 4244, 8367, 585, 519, 1739, 1966, 269, 589, 5619, 4080, 519, 4058, 6208, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13731, 710, 2760, 5433, 6899, 1373, 1472, 6341, 13183, 320, 267, 1317, 6341, 13183, 320, 2141, 4956, 547, 957, 513, 2370, 28869, 344, 269, 0, 9223, 281, 1548, 616, 4162, 540, 513, 23553, 3375, 888, 288, 269, 13216, 543, 19408, 454, 289, 269, 28687, 1643, 543, 1875, 268, 709, 339, 710, 454, 290, 269, 8899, 1981, 543, 1978, 454, 291, 269, 13705, 710, 543, 1875, 10687, 14658, 454, 12585, 281, 667, 0, 21093, 513, 688, 1844, 583, 281, 4658, 616, 9361, 538, 23107, 3330, 513, 3046, 1499, 7749, 269, 2494, 568, 9361, 538, 513, 11381, 543, 519, 3046, 828, 3297, 1864, 568, 695, 3058, 1010, 4552, 269, 0, 9223, 281, 898, 729, 12624, 781, 4303, 267, 8117, 519, 1762, 3993, 729, 513, 2370, 29043, 14720, 4085, 1352, 729, 476, 8517, 5195, 2476, 689, 1200, 3237, 16638, 519, 6640, 1352, 13093, 539, 1200, 3993, 547, 6999, 1200, 513, 6126, 12624, 781, 4303, 25467, 1200, 3993, 5143, 1200, 827, 519, 4190, 561, 559, 30929, 538, 519, 4677, 269, 13536, 602, 1554, 267, 15290, 1352, 5143, 1200, 9393, 827, 519, 561, 559, 30929, 267, 515, 1767, 2437, 296, 917, 1141, 649, 666, 1265, 782, 602, 596, 1616, 269, 7476, 519, 1453, 543, 2097, 593, 1701, 3383, 789, 4682, 267, 20142, 1516, 1524, 519, 2197, 9897, 269, 1703, 593, 513, 1507, 14629, 267, 16269, 4718, 513, 2603, 540, 4190, 13711, 561, 559, 30929, 7868, 1762, 4807, 10443, 3533, 547, 2972, 519, 5810, 5861, 732, 2685, 267, 9917, 13603, 513, 1906, 1934, 543, 513, 1906, 972, 269, 4002, 741, 1259, 1753, 972, 729, 513, 12837, 593, 1200, 3068, 269, 1879, 789, 941, 8429, 513, 8808, 1753, 2073, 1492, 1762, 4807, 4718, 606, 2025, 1989, 15967, 9361, 538, 513, 11381, 2529, 515, 1185, 1100, 1453, 609, 1200, 269, 5445, 11074, 519, 1286, 543, 519, 1762, 4807, 15336, 547, 519, 2025, 4807, 267, 1584, 519, 5810, 538, 1200, 3946, 25467, 20493, 693, 1200, 7868, 2025, 1989, 15967, 9684, 539, 1200, 1586, 543, 1586, 2529, 515, 20493, 25747, 267, 1729, 334, 269, 1879, 519, 1762, 3993, 3357, 1394, 547, 1200, 1286, 267, 615, 1453, 4280, 1200, 2437, 8005, 568, 602, 2025, 1989, 15967, 286, 3963, 1705, 596, 2285, 938, 5810, 547, 1200, 8119, 834, 296, 1810, 1405, 917, 1200, 2437, 26132, 3993, 1767, 1701, 3719, 621, 781, 12624, 781, 4303, 25467, 1352, 814, 1100, 1453, 15660, 723, 782, 540, 596, 25467, 594, 1869, 723, 1250, 3993, 269, 9617, 1589, 875, 1454, 1346, 5810, 5921, 547, 1200, 269, 634, 1762, 4807, 729, 513, 2370, 29043, 593, 12624, 781, 4303, 1317, 567, 9041, 476, 4586, 288, 269, 1352, 4769, 1405, 723, 513, 1459, 454, 289, 269, 1352, 729, 513, 1279, 1259, 689, 1200, 3993, 454, 290, 269, 1352, 4769, 1405, 917, 621, 729, 12624, 781, 4303, 454, 291, 269, 1352, 4941, 547, 1294, 1200, 4651, 454, 12585, 281, 645, 0, 9223, 281, 6307, 814, 476, 277, 30660, 540, 20057, 956, 538, 1200, 20562, 787, 269, 3962, 20220, 540, 20057, 956, 666, 30164, 476, 279, 7484, 31817, 269, 6307, 6499, 547, 27106, 2614, 7484, 31817, 547, 946, 909, 782, 540, 1200, 20057, 956, 269, 1403, 1142, 3443, 6585, 476, 1321, 7484, 31817, 267, 875, 1082, 31781, 4502, 540, 7484, 31817, 1058, 1352, 27106, 888, 12585, 281, 2701, 814, 2614, 20057, 956, 585, 476, 277, 2608, 476, 279, 815, 24177, 277, 265, 279, 284, 4366, 9563, 4366, 7484, 31817, 269, 2701, 2115, 476, 4366, 1315, 476, 1321, 815, 24177, 4366, 270, 1321, 284, 275, 9563, 275, 31781, 547, 27106, 782, 540, 519, 7484, 31817, 269, 634, 2626, 568, 476, 275, 269, 0, 9223, 281, 17791, 301, 822, 15870, 13782, 1807, 16875, 17791, 301, 822, 13669, 802, 269, 1411, 5397, 269, 20429, 543, 744, 985, 10547, 19648, 269, 1363, 17791, 301, 822, 568, 2653, 547, 946, 269, 1306, 596, 5397, 267, 17791, 301, 822, 15870, 13782, 1807, 786, 2285, 596, 782, 519, 1344, 596, 991, 267, 971, 607, 281, 1363, 2608, 763, 1699, 8265, 269, 1363, 2608, 763, 1985, 2490, 547, 1491, 269, 1363, 2608, 763, 1985, 8265, 547, 2490, 5196, 269, 1363, 2608, 763, 3845, 6967, 1354, 1985, 2490, 269, 1363, 2608, 763, 1297, 540, 5195, 2451, 593, 707, 7552, 269, 1363, 13966, 519, 1259, 267, 8846, 786, 581, 9307, 538, 513, 2312, 5639, 543, 10268, 593, 707, 6049, 269, 1280, 1383, 267, 621, 786, 2161, 267, 834, 7883, 476, 272, 269, 273, 5195, 543, 2490, 1318, 593, 4432, 332, 9335, 1701, 1306, 596, 1935, 519, 2490, 267, 596, 786, 5873, 267, 834, 31282, 1318, 593, 4432, 332, 9335, 1701, 17791, 301, 822, 15870, 13782, 1807, 786, 1256, 2995, 596, 602, 519, 10278, 568, 593, 707, 2451, 11399, 1318, 11804, 2427, 540, 519, 8265, 269, 1363, 4201, 11703, 681, 518, 719, 324, 1363, 1403, 596, 4413, 513, 2490, 610, 2743, 519, 6808, 25888, 734, 7224, 1966, 269, 17791, 301, 822, 15870, 13782, 1807, 786, 3533, 9337, 707, 8905, 543, 28570, 596, 547, 707, 10278, 269, 1363, 27953, 2776, 1613, 1363, 12231, 519, 4155, 676, 12744, 532, 476, 707, 8905, 1354, 596, 979, 269, 1411, 1256, 1205, 519, 2698, 3845, 543, 7447, 2951, 942, 547, 707, 10278, 269, 1363, 645, 714, 4855, 518, 1363, 2060, 17791, 301, 822, 15870, 13782, 1807, 267, 621, 781, 2653, 547, 1265, 14060, 267, 8492, 267, 22538, 525, 267, 20730, 543, 811, 689, 936, 476, 1015, 6634, 2798, 540, 1719, 2066, 519, 2475, 269, 1363, 9612, 676, 7121, 267, 971, 607, 834, 1320, 2967, 13962, 257, 543, 834, 14653, 601, 2668, 1363, 9612, 676, 2012, 267, 971, 607, 834, 1320, 2967, 29092, 595, 12522, 257, 543, 834, 299, 3089, 23392, 2668, 1363, 4495, 596, 4312, 1336, 1018, 596, 616, 3168, 585, 267, 596, 666, 946, 17791, 301, 822, 547, 1205, 6117, 8846, 610, 1289, 6619, 547, 1118, 31681, 269, 7454, 540, 782, 267, 10311, 616, 1863, 543, 13128, 267, 7429, 7199, 15870, 1949, 602, 5279, 585, 10311, 543, 2154, 8261, 6304, 269, 1363, 11352, 17791, 301, 822, 15870, 13782, 1807, 476, 1411, 2052, 5192, 513, 674, 822, 10696, 12313, 3767, 256, 1363, 5903, 12313, 281, 1269, 1960, 269, 4200, 1363, 12313, 281, 259, 16318, 269, 6507, 261, 10472, 6221, 9635, 585, 17676, 609, 8111, 590, 11232, 1744, 6235, 269, 1363, 1411, 16440, 281, 2764, 269, 277, 260, 1363, 476, 1911, 260, 24344, 1363, 5272, 11834, 593, 17791, 301, 822, 2593, 568, 16798, 547, 581, 5150, 269, 7102, 2123, 1344, 596, 2285, 721, 786, 581, 17411, 2687, 547, 938, 21041, 8889, 269, 1363, 10261, 6435, 286, 1363, 5999, 827, 707, 1931, 286, 11910, 721, 693, 476, 272, 268, 31229, 268, 31874, 268, 277, 2764, 279, 585, 948, 269, 1363, 11370, 3539, 2859, 20537, 476, 1015, 286, 1363, 11910, 476, 2412, 279, 268, 21709, 268, 25148, 274, 547, 1184, 707, 1931, 811, 3533, 269, 1363, 22227, 689, 519, 20305, 1363, 834, 2005, 781, 2653, 547, 946, 1862, 1492, 5639, 602, 6645, 596, 519, 2490, 8846, 734, 5976, 4408, 543, 10754, 734, 529, 2312, 543, 2653, 547, 1174, 1701, 672, 4534, 291, 800, 5548, 9109, 1363, 834, 2005, 781, 2312, 602, 17791, 301, 822, 2337, 4648, 593, 519, 4155, 1118, 519, 1034, 540, 741, 942, 1701, 4534, 291, 1446, 26081, 1215, 1281, 17791, 301, 822, 15870, 13782, 1807, 2995, 519, 3755, 519, 8846, 888, 288, 269, 1635, 6340, 563, 289, 269, 1635, 18071, 593, 519, 5496, 563, 290, 269, 1635, 24373, 563, 291, 269, 5637, 676, 6340, 543, 18071, 593, 519, 5496, 563, 12585, 281, 667, 0, 297, 3317, 11717, 8678, 519, 2979, 8630, 1247, 25014, 3821, 8678, 519, 1148, 8630, 2094, 26391, 5433, 10763, 269, 0, 9223, 281, 1548, 2262, 568, 1031, 547, 4766, 513, 1507, 267, 4009, 22739, 540, 6149, 610, 4837, 267, 1031, 538, 19821, 923, 888, 12585, 281, 705, 659, 25625, 0, 9223, 281, 898, 3357, 607, 1945, 540, 513, 9983, 950, 667, 10005, 267, 25905, 540, 12986, 267, 1500, 513, 7552, 512, 4911, 7637, 538, 476, 1960, 278, 267, 547, 1489, 519, 4414, 9061, 781, 5859, 585, 513, 2698, 7333, 593, 782, 4550, 16512, 6773, 2244, 332, 710, 2244, 332, 1149, 10738, 3108, 540, 21945, 538, 4911, 7637, 267, 8613, 13819, 1472, 519, 1158, 941, 4904, 609, 2592, 540, 1200, 4313, 532, 9601, 13676, 538, 30762, 3361, 676, 2244, 332, 1149, 269, 834, 296, 6785, 519, 7194, 2437, 1352, 1767, 269, 834, 3719, 8380, 513, 3068, 547, 1346, 5515, 4547, 519, 4641, 1753, 547, 803, 282, 899, 950, 594, 1558, 9995, 571, 267, 513, 476, 1724, 4458, 6040, 8004, 945, 1185, 4503, 1200, 1850, 267, 543, 1004, 899, 1200, 1701, 634, 25905, 11943, 609, 513, 2241, 5048, 281, 834, 2171, 1590, 3247, 2244, 332, 1149, 2668, 1656, 1352, 1031, 1169, 4316, 1282, 1200, 3643, 547, 10956, 713, 5048, 269, 1809, 267, 1394, 538, 5507, 267, 1200, 5784, 941, 711, 3838, 676, 930, 2818, 540, 519, 3703, 2229, 267, 799, 15189, 547, 1489, 513, 7333, 593, 891, 9604, 269, 4911, 787, 14761, 9250, 606, 4323, 593, 519, 25905, 538, 519, 2046, 269, 1358, 4330, 1200, 607, 834, 854, 2192, 26455, 257, 543, 513, 834, 331, 5366, 666, 12061, 257, 1547, 634, 25905, 15527, 676, 17678, 11735, 519, 30852, 281, 834, 1607, 568, 513, 30411, 2073, 649, 798, 711, 991, 269, 2353, 594, 6415, 3843, 547, 798, 568, 948, 1701, 11534, 3789, 6105, 267, 519, 2923, 543, 519, 1857, 5612, 21350, 5367, 741, 1489, 585, 519, 25905, 269, 1677, 1118, 6927, 8338, 585, 519, 2229, 267, 621, 4166, 7153, 602, 519, 25905, 781, 7552, 1185, 1044, 9516, 676, 519, 14579, 8433, 267, 543, 602, 1352, 729, 538, 1249, 1360, 1134, 26455, 827, 1312, 519, 3510, 538, 4911, 7637, 543, 519, 3703, 2229, 781, 3609, 3823, 2244, 332, 1149, 269, 634, 1267, 729, 513, 4049, 19849, 14536, 585, 519, 2229, 269, 1677, 2119, 543, 3970, 519, 3441, 267, 519, 14579, 14199, 267, 29346, 681, 604, 330, 573, 526, 267, 10645, 602, 519, 25905, 781, 5784, 593, 2244, 332, 1149, 941, 711, 1360, 1114, 689, 2229, 3609, 267, 543, 602, 621, 729, 834, 11529, 2509, 257, 513, 5001, 7333, 269, 634, 16470, 14199, 267, 7812, 5800, 21034, 267, 10645, 519, 2339, 729, 834, 320, 31495, 13133, 566, 610, 3765, 24483, 1701, 1280, 519, 25905, 267, 519, 7552, 547, 713, 2112, 2389, 1941, 2197, 729, 606, 5140, 4316, 547, 946, 1200, 8560, 547, 1397, 519, 1158, 875, 1454, 9552, 543, 7092, 2244, 332, 1149, 666, 2014, 269, 2701, 1767, 602, 519, 1995, 1185, 849, 2016, 1200, 519, 4960, 547, 1205, 6251, 547, 1004, 606, 741, 2042, 269, 25905, 667, 10005, 6976, 513, 3643, 547, 4911, 7637, 538, 476, 1960, 278, 454, 288, 269, 547, 12172, 519, 3703, 2229, 781, 1796, 593, 2244, 332, 1149, 454, 289, 269, 547, 3715, 1200, 3239, 607, 513, 3659, 540, 2244, 332, 710, 9601, 454, 290, 269, 547, 8495, 519, 7985, 902, 540, 2244, 332, 710, 9601, 972, 454, 291, 269, 547, 5639, 1200, 1489, 585, 513, 2698, 7333, 540, 2244, 332, 1149, 454, 12585, 281, 667, 0, 9223, 281, 15526, 13922, 547, 723, 513, 2635, 6197, 269, 1809, 798, 596, 917, 1018, 513, 2635, 6197, 568, 899, 286, 3371, 616, 930, 2081, 547, 723, 513, 2635, 1272, 269, 5192, 3742, 901, 568, 519, 1034, 1271, 1259, 540, 513, 2635, 6197, 269, 29303, 267, 4881, 267, 4730, 14912, 543, 824, 5026, 786, 948, 596, 1832, 2635, 269, 5901, 2973, 5901, 519, 4025, 1472, 596, 2973, 269, 1133, 30236, 543, 2150, 573, 344, 4025, 666, 711, 1152, 1118, 596, 14220, 855, 849, 630, 1862, 264, 1118, 596, 2192, 269, 16202, 1072, 1176, 3776, 1072, 5673, 593, 567, 938, 1426, 267, 865, 3025, 1058, 3314, 547, 3548, 2635, 1426, 269, 634, 8902, 1426, 596, 3548, 267, 519, 8902, 596, 786, 581, 269, 14970, 3039, 901, 568, 519, 15864, 1259, 547, 2661, 513, 2635, 6197, 269, 7233, 4054, 1472, 707, 2777, 269, 8347, 707, 1655, 547, 946, 1447, 476, 1216, 269, 17547, 1210, 1919, 952, 789, 616, 3983, 585, 1604, 1547, 3245, 519, 8574, 267, 799, 540, 519, 1739, 568, 519, 1259, 547, 2661, 3039, 888, 288, 269, 15775, 6266, 540, 3635, 563, 289, 269, 18227, 2973, 543, 22619, 344, 563, 290, 269, 31896, 4054, 563, 291, 269, 14856, 811, 4829, 543, 5388, 563, 12585, 281, 595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2081, 540, 1373, 11777, 267, 585, 3236, 267, 596, 666, 4123, 3068, 3562, 19904, 609, 513, 22673, 610, 946, 513, 11670, 11083, 300, 563, 12648, 519, 2724, 593, 707, 4871, 2272, 281, 1548, 568, 621, 811, 982, 13366, 538, 513, 6538, 602, 666, 1152, 581, 4957, 896, 1808, 2175, 286, 1411, 666, 1256, 1491, 2168, 11113, 543, 4967, 281, 1548, 616, 789, 3116, 982, 3908, 13366, 538, 513, 1857, 2168, 6538, 602, 666, 1152, 581, 4957, 952, 596, 6474, 519, 2783, 982, 596, 9308, 1378, 519, 11113, 543, 4967, 286, 14559, 568, 782, 827, 513, 20240, 7127, 538, 930, 2186, 540, 6538, 540, 6589, 267, 21356, 267, 543, 8852, 563, 292, 20273, 568, 519, 22082, 585, 9893, 1759, 5100, 11731, 269, 1879, 4881, 593, 519, 9893, 513, 5100, 4579, 3587, 899, 513, 1582, 268, 6016, 908, 2780, 1982, 602, 8850, 4291, 2373, 950, 1808, 2175, 616, 1558, 269, 2201, 519, 9893, 267, 5100, 11731, 1450, 585, 3009, 547, 581, 2196, 4010, 607, 23553, 1510, 1022, 7872, 540, 29987, 267, 24890, 267, 12611, 610, 3791, 18407, 13779, 269, 898, 666, 7520, 519, 5385, 540, 2724, 267, 1543, 267, 3959, 267, 8843, 267, 610, 4376, 540, 1871, 269, 634, 21578, 3060, 4682, 2661, 593, 5147, 476, 1789, 628, 267, 476, 1001, 276, 609, 476, 7761, 2929, 21578, 6566, 1441, 563, 9336, 11834, 568, 513, 3758, 602, 5161, 540, 519, 30699, 779, 543, 18579, 779, 1857, 10569, 630, 19789, 2280, 9607, 264, 543, 519, 2179, 540, 11113, 11843, 269, 634, 11834, 849, 2115, 547, 581, 9896, 1055, 676, 519, 30699, 609, 741, 4357, 1883, 269, 2353, 540, 713, 568, 1175, 2596, 25563, 269, 16828, 267, 519, 11834, 568, 13739, 539, 538, 519, 3060, 267, 855, 621, 2115, 547, 581, 9672, 1101, 563, 1103, 2904, 476, 1001, 279, 267, 11670, 7108, 630, 663, 1079, 824, 19116, 264, 941, 5734, 676, 513, 3811, 476, 7906, 260, 814, 3107, 4323, 676, 606, 7164, 17076, 267, 538, 799, 15377, 4503, 6059, 1269, 1240, 332, 269, 769, 4873, 476, 1001, 279, 267, 11114, 5385, 3213, 514, 571, 559, 729, 11360, 539, 267, 9561, 2475, 259, 4391, 2929, 4502, 540, 5621, 8314, 269, 21824, 4478, 519, 11360, 729, 30199, 585, 513, 1269, 5655, 5479, 15170, 2344, 6133, 4752, 269, 2201, 476, 280, 5147, 476, 1001, 279, 519, 5385, 645, 4545, 528, 1185, 1269, 2537, 269, 276, 2929, 538, 15170, 21687, 563, 30531, 8314, 568, 513, 3059, 10697, 2966, 547, 960, 538, 9263, 3562, 24406, 518, 8852, 607, 513, 9304, 269, 9779, 23915, 723, 1614, 7907, 3730, 538, 513, 9304, 267, 2687, 547, 634, 8859, 626, 538, 5130, 476, 1001, 276, 281, 789, 616, 834, 14551, 547, 7118, 267, 3908, 538, 3761, 543, 2653, 547, 13182, 1701, 3131, 930, 3173, 267, 607, 540, 476, 1001, 276, 267, 19682, 3252, 811, 607, 513, 8569, 1062, 982, 607, 513, 9304, 563, 24685, 476, 273, 1296, 689, 1631, 267, 594, 3494, 19116, 786, 581, 11543, 26117, 607, 513, 7014, 585, 1870, 8852, 267, 25132, 599, 906, 267, 543, 16765, 1136, 5375, 5742, 607, 519, 9053, 1121, 8636, 766, 1907, 269, 3204, 8973, 1870, 8852, 1107, 596, 3580, 1294, 1079, 10092, 281, 1703, 786, 581, 2883, 4213, 799, 946, 621, 585, 621, 779, 1100, 13927, 267, 5176, 2987, 560, 656, 2702, 547, 1847, 1022, 2179, 540, 2724, 1472, 267, 543, 972, 786, 581, 1346, 602, 8415, 621, 585, 922, 9893, 2029, 269, 23204, 2029, 2488, 519, 4102, 4324, 609, 3972, 1652, 2912, 1746, 267, 2582, 2707, 540, 5168, 267, 5100, 11731, 267, 543, 2681, 11113, 3034, 292, 20273, 781, 9893, 3096, 8585, 330, 548, 4054, 267, 585, 3354, 4128, 267, 547, 2087, 25382, 267, 543, 547, 11126, 11834, 814, 3107, 269, 1306, 609, 1022, 8585, 330, 548, 3529, 6388, 267, 621, 2636, 585, 4859, 9806, 267, 1305, 15376, 15997, 630, 21406, 834, 300, 17064, 548, 15997, 19823, 543, 1769, 7817, 15222, 1436, 269, 634, 21578, 3060, 814, 693, 2053, 5185, 20316, 2042, 267, 585, 1383, 267, 20316, 7018, 1282, 3735, 476, 1001, 278, 538, 6935, 547, 15303, 758, 527, 2906, 563, 6962, 585, 2221, 779, 21578, 5811, 281, 12313, 8840, 2630, 9625, 10082, 269, 4792, 10522, 27402, 540, 519, 1699, 15125, 16781, 538, 21578, 269, 21578, 2079, 585, 2221, 568, 5645, 856, 593, 606, 12499, 1485, 630, 275, 5662, 264, 942, 18134, 4796, 23057, 1157, 5750, 602, 6212, 593, 3902, 2962, 2094, 519, 2063, 3018, 540, 4873, 540, 1699, 4266, 269, 589, 2212, 543, 17525, 1283, 4806, 630, 728, 958, 7703, 880, 264, 602, 9672, 2483, 290, 7973, 9242, 11750, 723, 1044, 3379, 547, 623, 517, 17844, 14565, 267, 18158, 14565, 543, 2804, 18616, 267, 971, 607, 8027, 2344, 18616, 269, 20999, 29485, 540, 18718, 29728, 13317, 5004, 7150, 538, 476, 1001, 278, 602, 3059, 19728, 941, 834, 333, 5847, 855, 606, 4652, 15903, 535, 611, 630, 528, 5310, 1256, 513, 18158, 10325, 1070, 1759, 593, 513, 18515, 547, 607, 9216, 1871, 547, 1945, 602, 814, 2370, 610, 9039, 3564, 1018, 1004, 786, 2628, 585, 621, 2580, 543, 3379, 873, 547, 519, 32482, 760, 812, 807, 630, 14321, 278, 1070, 3162, 7256, 32686, 1076, 630, 15094, 271, 1070, 543, 12297, 10687, 19389, 630, 1960, 280, 1040, 634, 1715, 3840, 518, 814, 6045, 519, 7521, 1759, 593, 11042, 609, 9893, 27428, 538, 606, 2376, 827, 519, 968, 30348, 936, 2436, 11670, 267, 21578, 267, 543, 519, 9893, 616, 13321, 519, 1158, 6100, 0, 2026, 649, 723, 2907, 2938, 267, 1034, 12356, 538, 6628, 723, 8385, 2097, 689, 1082, 1114, 2694, 540, 519, 1158, 563, 15371, 789, 22132, 689, 4000, 267, 519, 5664, 5101, 610, 519, 4095, 1016, 9762, 5799, 267, 741, 2259, 540, 5771, 814, 1419, 1044, 8032, 676, 741, 1585, 2686, 10080, 269, 1656, 540, 1576, 267, 607, 7332, 2950, 723, 2919, 538, 6628, 936, 942, 267, 972, 814, 1044, 513, 1434, 4308, 540, 2686, 2048, 325, 4288, 685, 543, 16471, 540, 2686, 5389, 269, 6884, 267, 621, 666, 581, 2352, 547, 20559, 950, 513, 1514, 2259, 568, 3909, 267, 610, 2686, 267, 610, 513, 7848, 540, 1312, 269, 769, 713, 2376, 267, 649, 2992, 593, 713, 598, 1495, 5300, 267, 543, 2263, 930, 540, 519, 2686, 4763, 602, 5546, 519, 2259, 540, 5771, 538, 6628, 2221, 269, 2913, 779, 1376, 609, 519, 12667, 11052, 540, 513, 16806, 563, 2252, 596, 13984, 513, 7332, 15622, 8932, 16806, 267, 596, 1131, 5469, 602, 519, 27379, 568, 12461, 14688, 1810, 2740, 538, 3638, 569, 12258, 10696, 2699, 30933, 269, 1411, 786, 7747, 602, 1352, 786, 3398, 519, 7365, 11556, 609, 7805, 11688, 2787, 630, 6518, 949, 2285, 519, 12705, 602, 1352, 568, 1373, 7142, 1040, 10801, 519, 16806, 267, 596, 786, 5469, 519, 7772, 543, 8788, 540, 1346, 1472, 1200, 267, 1247, 1352, 786, 4440, 1413, 1474, 828, 630, 6518, 949, 19597, 622, 707, 27421, 602, 1352, 814, 1044, 7142, 883, 519, 7365, 1040, 769, 4334, 267, 952, 596, 1294, 606, 6259, 7332, 16806, 267, 596, 786, 1294, 602, 519, 27379, 568, 1810, 2740, 538, 3043, 269, 2701, 786, 1413, 6126, 267, 543, 786, 4440, 7544, 609, 1200, 9393, 563, 1432, 596, 723, 1350, 31663, 539, 998, 891, 1079, 5961, 538, 707, 2247, 568, 519, 3017, 1063, 12356, 689, 1114, 2686, 8129, 538, 6935, 547, 7365, 16873, 269, 4495, 519, 3909, 10155, 540, 519, 16008, 568, 6192, 998, 519, 19142, 540, 519, 7365, 4579, 1107, 543, 713, 786, 581, 519, 4493, 585, 1022, 7332, 7365, 1107, 519, 7908, 8481, 602, 1246, 786, 2992, 1880, 2686, 5389, 602, 723, 5266, 2370, 3909, 25664, 566, 563, 9824, 580, 542, 568, 1419, 14648, 543, 13736, 998, 2686, 5389, 269, 6884, 891, 5389, 616, 10924, 547, 581, 2048, 516, 31437, 685, 855, 616, 538, 1249, 8806, 2048, 322, 8590, 9957, 3502, 782, 3703, 12356, 786, 8209, 581, 2111, 547, 20559, 519, 3017, 1063, 519, 1079, 267, 971, 568, 741, 6988, 269, 1924, 585, 1383, 267, 5771, 3091, 12356, 5583, 593, 513, 2039, 540, 2152, 267, 1519, 10571, 269, 1703, 568, 1100, 971, 3364, 607, 2048, 26576, 545, 685, 10571, 267, 855, 3274, 513, 1305, 540, 2596, 4441, 543, 4170, 585, 1312, 2367, 267, 543, 2021, 282, 20845, 545, 18627, 3823, 10571, 616, 1419, 607, 10858, 547, 2367, 607, 789, 616, 547, 2021, 269, 9093, 1590, 30194, 630, 7474, 568, 267, 693, 2547, 264, 3382, 689, 519, 14255, 767, 547, 519, 12597, 267, 1247, 519, 21024, 17124, 25009, 2021, 547, 3382, 741, 4703, 267, 4849, 585, 741, 3068, 543, 3946, 269, 634, 5354, 540, 12356, 4612, 713, 547, 1331, 8720, 540, 519, 4552, 269, 5637, 2367, 543, 2021, 616, 2838, 547, 5957, 9660, 602, 616, 10690, 267, 32630, 267, 14064, 1881, 267, 16434, 543, 2973, 269, 1849, 5847, 1058, 2992, 4008, 267, 543, 3976, 1312, 2367, 543, 2021, 616, 9415, 547, 2769, 741, 27828, 543, 8706, 6541, 998, 10571, 269, 18766, 689, 891, 2596, 6788, 267, 12356, 616, 1863, 547, 5957, 8726, 789, 3442, 269, 12356, 538, 6628, 2221, 5957, 782, 6073, 540, 1114, 6163, 540, 7802, 543, 2212, 2275, 1478, 532, 269, 7183, 616, 2048, 26576, 545, 685, 829, 694, 267, 855, 3274, 2992, 9867, 2686, 7664, 540, 3909, 4170, 827, 10571, 563, 5278, 12356, 538, 6628, 616, 1631, 1614, 610, 2185, 5481, 6569, 689, 519, 3312, 9194, 1995, 269, 1452, 1762, 3703, 23899, 12356, 616, 2261, 11538, 1312, 1369, 543, 3544, 519, 2686, 543, 737, 29023, 2516, 540, 741, 3237, 543, 22594, 267, 543, 1022, 10206, 540, 2528, 607, 513, 13737, 7613, 568, 4742, 32118, 269, 8836, 5389, 616, 1373, 535, 4310, 538, 782, 6073, 540, 32545, 267, 543, 1382, 9727, 519, 16221, 2081, 602, 1762, 12356, 786, 1118, 7580, 946, 540, 741, 2686, 8129, 2687, 547, 2796, 543, 25896, 563, 15100, 9315, 858, 2160, 0, 313, 11961, 756, 541, 568, 519, 2012, 585, 606, 2895, 28396, 538, 519, 4095, 7909, 476, 1839, 1700, 2004, 5998, 1055, 519, 5032, 540, 5101, 4000, 267, 540, 3875, 1507, 10195, 543, 1079, 1804, 3283, 281, 772, 978, 340, 10937, 630, 1492, 1292, 6532, 267, 3006, 1217, 958, 5219, 547, 607, 1412, 313, 11961, 756, 541, 30670, 543, 623, 655, 9346, 6816, 269, 634, 2895, 28396, 729, 2899, 519, 5094, 1533, 540, 2098, 11961, 756, 541, 267, 799, 8087, 609, 19358, 1415, 11986, 547, 1106, 25157, 630, 21710, 689, 519, 1079, 4408, 1070, 543, 1869, 21593, 513, 1164, 4110, 540, 13190, 1369, 519, 9769, 269, 634, 3854, 540, 2098, 11961, 756, 541, 267, 4092, 593, 519, 6532, 540, 772, 978, 340, 10937, 267, 568, 2098, 11961, 756, 541, 4975, 269, 634, 2749, 781, 2025, 10116, 267, 1634, 607, 12942, 16011, 267, 568, 513, 2622, 11595, 13505, 454, 313, 11961, 756, 541, 781, 1292, 6080, 616, 14546, 630, 6518, 1331, 804, 7174, 267, 2428, 332, 1122, 267, 24036, 543, 14723, 1070, 986, 742, 807, 267, 543, 9235, 269, 2098, 11961, 756, 541, 568, 849, 519, 1753, 540, 519, 21049, 2098, 11961, 756, 541, 4414, 2051, 984, 639, 543, 519, 21792, 2098, 11961, 756, 541, 2274, 16985, 269, 634, 2262, 834, 313, 11961, 756, 541, 257, 4440, 24283, 689, 519, 14655, 12168, 366, 14180, 406, 363, 24220, 8294, 14507, 267, 2098, 30231, 1532, 541, 9497, 1723, 770, 540, 519, 17051, 8442, 543, 621, 568, 849, 1634, 607, 2098, 534, 10202, 1532, 541, 538, 12428, 269, 834, 313, 11961, 756, 541, 257, 949, 849, 3277, 547, 519, 24996, 20909, 630, 2102, 639, 2098, 532, 9200, 1040, 2098, 11961, 756, 541, 568, 3006, 5219, 547, 607, 519, 834, 8967, 823, 11866, 2437, 513, 2165, 602, 568, 849, 2404, 609, 519, 631, 2728, 31343, 11866, 538, 12868, 269, 623, 655, 9346, 6816, 568, 519, 1152, 6532, 6306, 689, 2098, 11961, 756, 541, 602, 1869, 7472, 804, 7174, 593, 513, 2101, 4493, 799, 568, 519, 3119, 2707, 540, 24996, 4747, 585, 519, 10195, 563, 23458, 281, 918, 529, 342, 1695, 8270, 610, 4210, 1695, 8270, 630, 334, 24810, 5148, 2296, 630, 334, 24810, 267, 16450, 5148, 12428, 630, 514, 2098, 11961, 756, 541, 1070, 543, 1082, 2199, 4654, 563, 290, 16226, 8943, 281, 1341, 14838, 454, 11742, 281, 10648, 307, 1341, 274, 630, 12239, 1341, 476, 279, 3108, 994, 25821, 640, 281, 15379, 1699, 568, 476, 7742, 24311, 267, 476, 2004, 13703, 269, 11154, 528, 623, 29888, 667, 543, 717, 454, 9824, 580, 542, 281, 4168, 476, 1789, 9077, 7332, 476, 3374, 9077, 6805, 4978, 476, 3374, 260, 282, 2098, 11961, 756, 541, 910, 476, 4200, 260, 7332, 454, 20228, 1511, 11780, 17341, 281, 0, 18770, 823 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 952, 1003, 272, 2652, 476, 4391, 275, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 271, 912, 1038, 1820, 3488, 4391, 275, 270, 10441, 271, 815, 476, 271, 269, 3374, 280, 277, 1428, 29575, 277, 1428, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 275, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 272, 912, 1038, 1820, 3488, 4391, 275, 270, 10441, 272, 815, 476, 271, 269, 3374, 280, 29483, 280, 3953, 4037, 278, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 275, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 273, 912, 1038, 1820, 3488, 4391, 275, 270, 10441, 273, 815, 476, 271, 269, 3374, 279, 280, 1839, 16960, 4817, 275, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 275, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 274, 912, 1038, 1820, 3488, 4391, 275, 270, 10441, 274, 815, 476, 271, 269, 3374, 279, 6812, 272, 28318, 26482, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 275, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 275, 912, 1038, 1820, 3488, 4391, 275, 270, 10441, 275, 815, 476, 271, 269, 3374, 279, 26801, 276, 5325, 8660, 274, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 275, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 276, 912, 1038, 1820, 3488, 4391, 275, 270, 10441, 276, 815, 476, 271, 269, 3374, 278, 8660, 275, 278, 3607, 279, 5655, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 275, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 277, 912, 1038, 1820, 3488, 4391, 275, 270, 10441, 277, 815, 476, 271, 269, 3374, 278, 4649, 273, 6812, 272, 26783, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 275, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 278, 912, 1038, 1820, 3488, 4391, 275, 270, 10441, 278, 815, 476, 271, 269, 3374, 278, 21076, 5881, 280, 28638, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 275, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 279, 912, 1038, 1820, 3488, 4391, 275, 270, 10441, 279, 815, 476, 271, 269, 32579, 279, 3583, 26631, 25484, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 275, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 280, 912, 1038, 1820, 3488, 4391, 275, 270, 10441, 280, 815, 476, 271, 269, 32579, 30019, 271, 2764, 276, 4200, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 271, 912, 1038, 1820, 3488, 23841, 270, 1911, 271, 815, 476, 271, 269, 23841, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 272, 912, 1038, 1820, 3488, 23841, 270, 1911, 272, 815, 476, 271, 269, 4391, 275, 27698, 4391, 275, 27698, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 273, 912, 1038, 1820, 3488, 23841, 270, 1911, 273, 815, 476, 271, 269, 4391, 275, 25172, 5392, 278, 24879, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 274, 912, 1038, 1820, 3488, 23841, 270, 1911, 274, 815, 476, 271, 269, 32699, 279, 4281, 3607, 275, 3445, 276, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 275, 912, 1038, 1820, 3488, 23841, 270, 1911, 275, 815, 476, 271, 269, 32699, 31746, 9032, 277, 6021, 277, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 276, 912, 1038, 1820, 3488, 23841, 270, 1911, 276, 815, 476, 271, 269, 32699, 16328, 29044, 3374, 279, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 277, 912, 1038, 1820, 3488, 23841, 270, 1911, 277, 815, 476, 271, 269, 4391, 273, 278, 8287, 275, 866, 4366, 274, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 278, 912, 1038, 1820, 3488, 23841, 270, 1911, 278, 815, 476, 271, 269, 4391, 273, 4375, 274, 26316, 29483, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 279, 912, 1038, 1820, 3488, 23841, 270, 1911, 279, 815, 476, 271, 269, 4391, 273, 271, 2537, 3199, 280, 276, 2190, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 280, 912, 1038, 1820, 3488, 23841, 270, 1911, 280, 815, 476, 271, 269, 4391, 272, 277, 4649, 10441, 6187, 274, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 271, 912, 1038, 1820, 3488, 23841, 270, 6200, 271, 815, 476, 271, 269, 4391, 272, 27868, 12553, 278, 1724, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 272, 912, 1038, 1820, 3488, 23841, 270, 6200, 272, 815, 476, 271, 269, 24907, 280, 866, 6434, 272, 27420, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 273, 912, 1038, 1820, 3488, 23841, 270, 6200, 273, 815, 476, 271, 269, 24907, 4649, 274, 3374, 280, 6924, 275, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 274, 912, 1038, 1820, 3488, 23841, 270, 6200, 274, 815, 476, 271, 269, 24907, 6942, 6321, 272, 277, 7176, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 275, 912, 1038, 1820, 3488, 23841, 270, 6200, 275, 815, 476, 271, 269, 3607, 280, 279, 2420, 4366, 276, 21709, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 276, 912, 1038, 1820, 3488, 23841, 270, 6200, 276, 815, 476, 271, 269, 3607, 280, 3393, 279, 12553, 5881, 280, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 277, 912, 1038, 1820, 3488, 23841, 270, 6200, 277, 815, 476, 271, 269, 3607, 280, 6021, 275, 4366, 279, 6245, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 278, 912, 1038, 1820, 3488, 23841, 270, 6200, 278, 815, 476, 271, 269, 3607, 279, 278, 4029, 6321, 274, 32455, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 279, 912, 1038, 1820, 3488, 23841, 270, 6200, 279, 815, 476, 271, 269, 3607, 279, 3607, 280, 31620, 6858, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 280, 912, 1038, 1820, 3488, 23841, 270, 6200, 280, 815, 476, 271, 269, 3607, 279, 23669, 25616, 279, 4097, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 271, 912, 1038, 1820, 3488, 23841, 270, 9083, 271, 815, 476, 271, 269, 3607, 278, 5038, 278, 4962, 279, 279, 2190, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 272, 912, 1038, 1820, 3488, 23841, 270, 9083, 272, 815, 476, 271, 269, 3607, 278, 30525, 9032, 274, 27898, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 273, 912, 1038, 1820, 3488, 23841, 270, 9083, 273, 815, 476, 271, 269, 3607, 277, 280, 2767, 30020, 280, 4649, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 274, 912, 1038, 1820, 3488, 23841, 270, 9083, 274, 815, 476, 271, 269, 3607, 277, 6321, 279, 280, 1691, 4817, 277, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 275, 912, 1038, 1820, 3488, 23841, 270, 9083, 275, 815, 476, 271, 269, 3607, 277, 13975, 280, 4391, 276, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 276, 912, 1038, 1820, 3488, 23841, 270, 9083, 276, 815, 476, 271, 269, 18458, 5952, 274, 4792, 279, 276, 4391, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 277, 912, 1038, 1820, 3488, 23841, 270, 9083, 277, 815, 476, 271, 269, 18458, 5392, 278, 5881, 277, 271, 2537, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 278, 912, 1038, 1820, 3488, 23841, 270, 9083, 278, 815, 476, 271, 269, 18458, 15221, 6942, 280, 2918, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 279, 912, 1038, 1820, 3488, 23841, 270, 9083, 279, 815, 476, 271, 269, 3607, 275, 4281, 276, 4200, 273, 25908, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 280, 912, 1038, 1820, 3488, 23841, 270, 9083, 280, 815, 476, 271, 269, 3607, 275, 32542, 4366, 277, 6434, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 271, 912, 1038, 1820, 3488, 23841, 270, 9818, 271, 815, 476, 271, 269, 3607, 275, 5881, 278, 5780, 280, 3445, 274, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 272, 912, 1038, 1820, 3488, 23841, 270, 9818, 272, 815, 476, 271, 269, 3607, 274, 278, 2190, 276, 4375, 28434, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 273, 912, 1038, 1820, 3488, 23841, 270, 9818, 273, 815, 476, 271, 269, 3607, 274, 4391, 273, 6021, 274, 271, 2537, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 274, 912, 1038, 1820, 3488, 23841, 270, 9818, 274, 815, 476, 271, 269, 3607, 274, 22903, 31696, 15946, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 275, 912, 1038, 1820, 3488, 23841, 270, 9818, 275, 815, 476, 271, 269, 3607, 273, 5780, 280, 25090, 277, 4366, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 276, 912, 1038, 1820, 3488, 23841, 270, 9818, 276, 815, 476, 271, 269, 3607, 273, 28760, 279, 2412, 6812, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 277, 912, 1038, 1820, 3488, 23841, 270, 9818, 277, 815, 476, 271, 269, 3607, 272, 280, 7597, 9340, 280, 7597, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 278, 912, 1038, 1820, 3488, 23841, 270, 9818, 278, 815, 476, 271, 269, 3607, 272, 30663, 4962, 278, 5952, 280, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 279, 912, 1038, 1820, 3488, 23841, 270, 9818, 279, 815, 476, 271, 269, 3607, 272, 27244, 6858, 277, 22145, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 280, 912, 1038, 1820, 3488, 23841, 270, 9818, 280, 815, 476, 271, 269, 11740, 280, 2537, 280, 4792, 31620, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 271, 912, 1038, 1820, 3488, 23841, 270, 10441, 271, 815, 476, 271, 269, 11740, 6872, 277, 280, 2537, 5881, 278, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 272, 912, 1038, 1820, 3488, 23841, 270, 10441, 272, 815, 476, 271, 269, 11740, 15996, 276, 5325, 4649, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 273, 912, 1038, 1820, 3488, 23841, 270, 10441, 273, 815, 476, 271, 269, 3374, 280, 6434, 275, 279, 3607, 5952, 273, 5073, 825, 952, 1003, 272, 2652, 476, 23841, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 274, 912, 1038, 1820, 3488, 23841, 270, 10441, 274, 815, 476, 271, 269, 3374, 280, 276, 4375, 4281, 280, 5881, 5073, 825, 952, 1003 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1223, 6460, 883, 513, 4584, 1575, 1448, 267, 19788, 6808, 543, 267, 693, 519, 1482, 942, 267, 4180, 10930, 543, 811, 3608, 267, 607, 1134, 607, 4264, 267, 5838, 625, 563, 763, 5647, 540, 717, 5085, 1160, 343, 14383, 454, 294, 5085, 1160, 343, 14383, 267, 519, 1158, 779, 1101, 3760, 602, 4025, 2063, 28902, 17825, 693, 519, 4099, 540, 519, 6075, 10918, 1995, 267, 849, 3091, 5499, 267, 6639, 543, 3362, 7471, 3435, 585, 5883, 519, 2078, 1063, 519, 10918, 7047, 543, 5215, 540, 16133, 17825, 3435, 563, 294, 5085, 1160, 343, 14383, 9072, 552, 4467, 12692, 267, 2344, 17541, 267, 17825, 12427, 267, 4172, 13205, 267, 543, 19057, 269, 1403, 596, 1616, 547, 1205, 547, 917, 721, 1732, 267, 3346, 721, 1631, 269, 0, 1015, 12085, 2659, 14847, 6002, 2052, 17546, 1411, 6168, 20353, 24022, 16819, 15521, 2920, 18518, 7605, 1231, 454, 9824, 725, 4721, 1063, 23572, 267, 27436, 6177, 14998, 9783, 676, 1651, 2211, 4365, 563, 8923, 9337, 606, 3742, 454, 27039, 593, 6177, 14097, 2636, 596, 454, 19350, 267, 6466, 538, 824, 3283, 621, 568, 12150, 267, 4228, 621, 269, 16989, 3775, 514, 26372, 540, 27436, 6177, 14097, 609, 707, 2022, 269, 1403, 789, 782, 27436, 6177, 14097, 957, 967, 10005, 3775, 1231, 269, 7305, 2986, 12937, 8549, 28645, 10029, 269, 901, 957, 543, 27436, 888, 290, 9051, 18571, 3043, 26904, 13650, 543, 4104, 6316, 6177, 2249, 971, 607, 519, 1977, 3775, 514, 563, 17812, 816, 7550, 1079, 3785, 666, 1205, 6177, 14097, 957, 609, 1697, 2359, 6703, 267, 543, 9588, 540, 454, 290, 6504, 1314, 5399, 693, 31922, 6177, 540, 513, 6177, 14097, 454, 268, 966, 28475, 9599, 585, 5147, 563, 268, 2983, 3150, 941, 849, 1459, 563, 268, 590, 3008, 786, 581, 972, 547, 948, 1118, 2386, 713, 835, 568, 513, 1967, 563, 289, 8674, 24224, 609, 6177, 957, 543, 1450, 782, 13851, 454, 303, 19272, 8980, 2464, 590, 1723, 582, 619, 1358, 616, 1634, 547, 5210, 6749, 4996, 1186, 616, 2904, 547, 5147, 563, 24246, 10122, 4609, 454, 9802, 17904, 13250, 1281, 711, 2049, 538, 519, 9566, 1317, 519, 4079, 2445, 543, 1491, 621, 2476, 563, 268, 4340, 547, 513, 2689, 540, 18518, 5095, 5614, 4955, 5928, 8445, 538, 4989, 543, 2904, 269, 3502, 5843, 338, 25547, 18967, 454, 268, 9282, 713, 568, 14931, 693, 519, 1533, 1377, 563, 18501, 28423, 856, 547, 5368, 8063, 2565, 6177, 20038, 896, 519, 20353, 24022, 16819, 15521, 2920, 563, 268, 26805, 6177, 3441, 538, 519, 1533, 540, 7178, 20424, 807, 22340, 6673, 295, 3041, 563, 268, 3776, 7023, 1767, 1352, 1185, 14148, 543, 25277, 538, 1200, 25810, 269, 12333, 2472, 616, 3775, 1231, 24011, 568, 621, 729, 5293, 4031, 269, 898, 513, 27436, 7320, 16716, 9648, 2249, 269, 4935, 267, 10393, 267, 610, 519, 6115, 29725, 1499, 29663, 269, 12910, 1588, 540, 15896, 676, 21962, 269, 4210, 753, 540, 519, 1158, 563, 268, 1809, 972, 568, 513, 2603, 596, 666, 798, 547, 3247, 5017, 689, 22215, 707, 9486, 865, 602, 596, 666, 2661, 25747, 2427, 676, 2427, 563, 294, 601, 13363, 539, 676, 519, 5313, 20353, 24022, 16819, 15521, 2920, 543, 666, 581, 563, 268, 634, 27436, 5017, 689, 513, 5163, 540, 563, 268, 645, 1846, 281, 5020, 538, 519, 15506, 17905, 563, 8340, 513, 10516, 454, 7468, 643, 850, 613, 568, 24451, 585, 27436, 6177, 14097, 957, 547, 454, 5445, 9566, 689, 4989, 547, 4864, 267, 12600, 540, 1715, 9049, 310, 299, 17025, 4382, 728, 269, 6796, 547, 3775, 514, 568, 2469, 547, 6172, 828, 2965, 4955, 6233, 269, 5742, 543, 27436, 6177, 14097, 957, 967, 10005, 3775, 1231, 286, 26609, 855, 5017, 14097, 957, 729, 2731, 3775, 1231, 616, 269, 476, 275, 20154, 6399, 902, 540, 16819, 12928, 12177, 593, 32001, 269, 1306, 513, 1565, 5351, 267, 594, 20882, 596, 547, 556, 29264, 269, 19737, 7320, 10898, 693, 29032, 269, 4208, 798, 5017, 1832, 26378, 593, 1250, 6885, 286, 1280, 513, 20523, 2107, 563, 763, 27436, 5152, 18346, 607, 2348, 547, 581, 6569, 689, 524, 599, 26413, 14723, 16125, 707, 3668, 540, 13164, 616, 1934, 1739, 4786, 563, 19489, 590, 3201, 292, 289, 2273, 2249, 602, 2901, 9468, 610, 22109, 998, 519, 18518, 14480, 525, 563, 2005, 849, 3096, 547, 27436, 6177, 1310, 19679, 3101, 454, 12850, 2200, 602, 14097, 957, 1281, 711, 7803, 1125, 513, 1906, 540, 17944, 543, 5757, 710, 4104, 563, 763, 811, 12325, 454, 13750, 20353, 24022, 16819, 6465, 1393, 24619, 9917, 564, 28599, 22694, 1155, 269, 2274, 3058, 1250, 824, 6177, 957, 543, 741, 21224, 4005, 1279, 269, 18599, 2829, 1519, 18518, 723, 2965, 11280, 519, 269, 1215, 547, 5901, 7605, 1231, 589, 3118, 32719, 1836, 12292, 3158, 1260, 269, 1548, 1684, 1411, 1684, 2060, 4911, 787, 2983, 3150, 1656, 4208, 3657, 1358, 8496, 269, 700, 6636, 585, 10071, 531, 1491, 896, 519, 20353, 24022, 16819, 15521, 2920, 631, 6630, 288, 1284, 5659, 538, 269, 22544, 593, 2681, 5964, 1876, 10238, 1080, 596, 563, 15037, 4530, 856, 540, 21308, 9896, 609, 11863, 519, 5480, 547, 6445, 741, 2361, 12630, 547, 27436, 6177, 14097, 957, 967, 10005, 3775, 1231, 267, 543, 11318, 5215, 540, 32550, 5866, 1533, 5604, 5496, 543, 8023, 563, 300, 4696, 634, 14097, 729, 5329, 519, 563, 268, 4521, 8693, 7827, 16572, 7057, 563, 268, 11289, 596, 585, 602, 5796, 563, 268, 570, 333, 322, 540, 519, 27436, 6177, 14097, 957, 967, 10005, 3775, 1231, 543, 23248, 875, 649, 1131, 11547, 1287, 563, 268, 3143, 1259, 267, 2470, 8190, 543, 9205, 3872, 1858, 563, 268, 12833, 4069, 1323, 5507, 0, 15899, 21943, 9263, 23468, 538, 3943, 21599, 2433, 1053, 4543, 1053, 676, 5885, 7924, 543, 2038, 1153, 1967, 2717, 6674, 267, 595, 2106, 628, 807, 700, 563, 763, 3483, 540, 713, 1957, 568, 547, 6542, 875, 9061, 5025, 613, 25398, 15397, 1681, 666, 581, 606, 2500, 29433, 3872, 1982, 547, 12927, 7924, 1983, 609, 3119, 3943, 21599, 1053, 10010, 538, 2542, 269, 898, 568, 513, 11295, 543, 16913, 23468, 1982, 602, 3217, 1747, 1282, 2834, 1153, 3108, 269, 8422, 1296, 3516, 267, 938, 3943, 1565, 26859, 4116, 3964, 513, 9061, 5025, 613, 25398, 15397, 1681, 1982, 269, 2701, 19610, 1250, 3446, 476, 278, 1053, 609, 1053, 538, 513, 3119, 3446, 945, 941, 538, 991, 540, 3063, 1489, 538, 3943, 2542, 543, 1603, 269, 634, 1445, 729, 593, 15699, 540, 519, 3119, 1053, 262, 3943, 7924, 1983, 269, 4595, 1287, 267, 649, 723, 4824, 938, 23468, 1982, 267, 543, 538, 713, 1957, 594, 786, 2491, 875, 649, 1031, 9061, 5025, 613, 25398, 15397, 1681, 538, 938, 3943, 8056, 619, 542, 1982, 607, 606, 3872, 1907, 547, 1489, 930, 540, 938, 3119, 1053, 538, 991, 540, 3063, 2259, 538, 7924, 269, 634, 2689, 540, 519, 3332, 6920, 602, 25398, 15397, 1681, 666, 581, 513, 3730, 29433, 1505, 540, 6044, 547, 2417, 3986, 543, 1489, 7924, 1983, 538, 1453, 945, 991, 3063, 15699, 269, 3194, 814, 3254, 602, 9263, 23468, 3292, 666, 2333, 519, 946, 540, 2565, 3206, 267, 14375, 543, 4655, 6571, 1983, 630, 294, 1619, 1067, 267, 476, 1220, 271, 1040, 4014, 972, 616, 1114, 2010, 540, 6292, 902, 585, 25398, 15397, 1681, 267, 519, 1523, 540, 9061, 5025, 613, 25398, 15397, 1681, 568, 606, 2500, 1982, 547, 948, 1020, 2542, 543, 1603, 1983, 538, 1312, 519, 4587, 543, 7820, 1053, 3238, 269, 901, 835, 6823, 14633, 23468, 2337, 1020, 519, 1582, 12635, 540, 1312, 519, 20131, 630, 514, 23059, 2875, 264, 543, 519, 512, 1393, 324, 630, 27146, 776, 2875, 1040, 901, 1957, 786, 6542, 602, 606, 6896, 543, 11295, 1982, 568, 14156, 543, 27268, 6225, 585, 1312, 519, 20131, 543, 512, 1393, 324, 267, 543, 513, 2318, 15699, 540, 1018, 568, 6026, 538, 519, 4928, 563, 2005, 655, 13022, 725, 543, 4578, 454, 16920, 9084, 9539, 517, 4467, 14293, 268, 5591, 32056, 643, 338, 476, 273, 269, 276, 4516, 0, 29094, 948, 6402, 912, 268, 1548, 568, 1271, 827, 519, 6679, 540, 11348, 543, 14882, 563, 268, 634, 5931, 616, 6870, 676, 519, 10677, 1876, 267, 865, 596, 616, 711, 4847, 547, 946, 519, 2898, 5931, 610, 1022, 2694, 540, 873, 1510, 8100, 547, 519, 3896, 4901, 2055, 11348, 543, 563, 268, 23225, 945, 3494, 538, 519, 1761, 540, 519, 1357, 20912, 519, 1871, 540, 2835, 563, 268, 634, 30573, 24626, 9060, 4267, 547, 7819, 16654, 3444, 6919, 267, 21099, 16654, 3444, 6919, 267, 2489, 1702, 3444, 6919, 543, 6939, 545, 30573, 13410, 563, 268, 13201, 519, 19005, 1014, 519, 28445, 7160, 540, 11348, 543, 14882, 563, 268, 7689, 4566, 281, 4619, 20187, 1357, 26810, 1315, 11348, 1299, 14882, 563, 268, 901, 1974, 540, 942, 7018, 538, 519, 8087, 10806, 689, 476, 9692, 276, 547, 476, 8146, 278, 543, 568, 3957, 607, 971, 1317, 4622, 563, 268, 1809, 799, 4528, 540, 11348, 543, 14882, 6780, 948, 11348, 543, 14882, 563, 268, 29233, 543, 14882, 568, 2864, 513, 1286, 545, 1155, 540, 2648, 543, 7365, 602, 568, 18678, 569, 16168, 563, 7468, 728, 543, 14882, 3594, 538, 875, 547, 2328, 513, 10855, 1557, 11540, 676, 1714, 529, 9278, 579, 11276, 1177, 541, 593, 23891, 4231, 476, 272, 267, 476, 1708, 271, 1352, 8452, 538, 519, 2220, 5893, 267, 585, 1383, 267, 4020, 16779, 575, 25311, 10096, 543, 713, 1272, 1719, 782, 2818, 540, 513, 1007, 1870, 14882, 543, 11348, 3594, 789, 2933, 666, 3132, 7961, 924, 7648, 711, 12215, 269, 29233, 543, 14882, 2055, 543, 4267, 269, 29233, 543, 14882, 12416, 948, 269, 22414, 1353, 540, 281, 11348, 543, 14882, 910, 795, 2033, 28191, 523, 5022, 547, 620, 823, 910, 535, 599, 7143, 18484, 269, 1306, 513, 1267, 267, 6306, 689, 1970, 5777, 267, 649, 849, 2709, 11348, 543, 14882, 1557, 1806, 1101, 24221, 519, 1739, 547, 1169, 2875, 945, 2501, 547, 721, 676, 6031, 267, 834, 328, 1810, 1405, 1616, 547, 798, 1250, 6780, 1813, 547, 17732, 540, 942, 610, 11348, 543, 14882, 1557, 1806, 1101, 24221, 922, 6988, 2580, 865, 5225, 269, 29233, 543, 14882, 11655, 666, 6368, 1205, 741, 4522, 883, 519, 5182, 7064, 547, 713, 476, 277, 1111, 7381, 14735, 4528, 540, 1864, 607, 32275, 29593, 1097, 8020, 3559, 548, 530, 756, 578, 334, 2813, 621, 547, 8661, 476, 1839, 628, 16683, 540, 519, 536, 25900, 9910, 269, 901, 3992, 3640, 666, 581, 6192, 1310, 519, 2542, 540, 1152, 476, 277, 11271, 540, 519, 3209, 269, 901, 5758, 2488, 513, 6251, 1413, 883, 930, 540, 519, 1292, 3197, 543, 875, 741, 1514, 4567, 543, 26608, 18727, 18765, 9420, 873, 547, 519, 5168, 269, 2296, 6780, 11348, 11348, 543, 14882, 6780, 948, 543, 14882, 3184, 476, 272, 910, 596, 32353, 269, 1284, 666, 948, 4945, 1931, 1631, 2668, 9752, 10892, 2488, 1863, 2200, 547, 7855, 14482, 18291, 267, 16984, 267, 24784, 543, 824, 9439, 2914, 14833, 960, 609, 1453, 689, 9656, 998, 1164, 1153, 269, 29233, 543, 14882, 9542, 2079, 910, 2565, 6780, 269, 3848, 476, 277, 538, 519, 952, 12641, 1021, 952, 621, 729, 519, 2679, 269, 1411, 917, 1018, 596, 1058, 581, 3257, 9522, 697, 269, 1924, 2484, 267, 9553, 568, 834, 10843, 1714, 9626, 1649, 6339, 267, 28191, 523, 2982, 721, 875, 3908, 519, 1909, 540, 2021, 729, 538, 4619, 20187, 2486, 267, 609, 269, 5564, 333, 558, 1695, 10315, 6780, 948, 519, 1883, 4090, 568, 2016, 547, 519, 1053, 543, 789, 616, 3177, 2230, 547, 16540, 930, 2093, 593, 875, 519, 1650, 1522, 2490, 856, 8335, 269, 29233, 543, 14882, 2689, 476, 276, 6801, 6502, 476, 1626, 268, 1240, 609, 2178, 8369, 543, 26069, 540, 1200, 1378, 267, 1714, 9626, 1649, 6339, 814, 1454, 547, 2161, 827, 519, 1158, 1472, 1200, 563, 4131, 781, 1265, 2009, 4267, 547, 834, 716, 816, 538, 8874, 1519, 11348, 1299, 14882, 630, 1220, 276, 1070, 519, 546, 31866, 1087, 267, 519, 32649, 3014, 543, 4013, 11580, 257, 30573, 23319, 269, 2142, 593, 519, 1413, 856, 585, 519, 12766, 24628, 585, 3237, 20394, 547, 5838, 16367, 5013, 585, 519, 1920, 1318, 547, 707, 28600, 563, 288, 345, 974, 322, 6780, 948, 454, 8923, 4945, 593, 519, 5339, 2079, 7121, 596, 6999, 547, 581, 10268, 269, 2672, 3386, 585, 519, 1353, 540, 519, 28168, 1257, 1412, 1440, 728, 543, 14882, 8339, 18044, 3724, 538, 11348, 543, 14882, 269, 3422, 271, 338, 6780, 948, 912, 268, 1809, 713, 786, 581, 2944, 607, 6780, 563, 268, 19811, 543, 1714, 9626, 2995, 721, 827, 4008, 543, 1379, 563, 268, 570, 868, 264, 610, 20956, 3898, 585, 6718 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4473, 547, 519, 11944, 540, 1007, 2645, 563, 275, 264, 10046, 4786, 454, 763, 2095, 4786, 267, 849, 1634, 607, 966, 15551, 11837, 267, 568, 606, 2079, 543, 6041, 1907, 585, 519, 2259, 540, 10709, 2359, 269, 898, 2306, 621, 2009, 547, 4786, 519, 2152, 543, 2009, 2242, 538, 1931, 547, 581, 811, 3608, 543, 2500, 538, 519, 2104, 269, 898, 2636, 596, 547, 2697, 2127, 585, 6454, 269, 634, 2095, 4786, 610, 966, 15551, 630, 7407, 6908, 29570, 264, 13408, 1614, 2010, 540, 2095, 912, 268, 7698, 8928, 454, 268, 6176, 8928, 454, 268, 10046, 338, 7282, 942, 454, 763, 6662, 540, 713, 1907, 568, 547, 3142, 3773, 1871, 547, 519, 6075, 676, 9319, 9271, 693, 1142, 3942, 269, 634, 2095, 1505, 568, 1031, 538, 1880, 538, 519, 17825, 9922, 543, 782, 2010, 540, 3549, 602, 723, 547, 4308, 609, 3747, 563, 7343, 18193, 538, 476, 3707, 271, 676, 519, 17082, 540, 23625, 7974, 267, 12872, 24734, 7937, 7224, 267, 547, 4431, 547, 6075, 3747, 676, 4657, 689, 513, 14593, 2095, 547, 513, 15504, 2095, 269, 634, 6662, 729, 547, 1847, 689, 513, 1062, 1141, 519, 2472, 616, 593, 519, 2344, 547, 519, 5137, 540, 2472, 2687, 547, 2344, 3747, 269, 4935, 267, 713, 1505, 1500, 621, 2009, 547, 2569, 519, 1377, 540, 6006, 563, 1607, 10709, 2359, 1907, 729, 1287, 2919, 538, 519, 1114, 3549, 676, 519, 3892, 540, 4247, 2687, 547, 519, 8244, 540, 1142, 269, 634, 20855, 3316, 1505, 568, 3976, 9862, 547, 21138, 4247, 2687, 547, 519, 1114, 2139, 2200, 563, 1103, 2259, 267, 20855, 3316, 12545, 1118, 621, 2009, 547, 14650, 782, 519, 960, 538, 1931, 547, 3970, 519, 4247, 538, 3356, 543, 3976, 2087, 543, 1732, 4383, 519, 8928, 269, 1452, 7515, 15814, 519, 13485, 538, 519, 1106, 540, 9587, 630, 1729, 798, 267, 538, 3356, 267, 8737, 1916, 26581, 7434, 2504, 3549, 1419, 946, 713, 2186, 540, 1907, 547, 2057, 2527, 6006, 269, 0, 289, 534, 3570, 1373, 513, 2101, 1426, 7693, 782, 1472, 519, 1158, 267, 24643, 1585, 1382, 4690, 538, 7693, 6454, 269, 769, 19337, 267, 2347, 11646, 9696, 540, 4053, 320, 934, 6058, 1092, 543, 4053, 320, 2545, 321, 529, 10005, 616, 2139, 269, 1717, 267, 519, 24197, 11646, 568, 711, 3524, 10642, 610, 19632, 269, 14600, 13578, 7434, 630, 31198, 264, 6090, 1404, 606, 1271, 1909, 538, 8768, 543, 6079, 1646, 543, 538, 7261, 339, 32194, 22503, 28238, 1006, 269, 1133, 30584, 532, 19337, 544, 339, 11646, 6189, 786, 581, 513, 5748, 585, 1620, 18472, 540, 7592, 543, 741, 4720, 269, 769, 713, 1353, 267, 519, 2347, 19337, 544, 339, 11646, 568, 19632, 689, 519, 2898, 11646, 5311, 1239, 540, 519, 4053, 320, 1035, 6058, 1092, 1016, 4944, 269, 4731, 3147, 18424, 667, 295, 6261, 1695, 836, 269, 634, 544, 339, 11646, 5311, 9715, 676, 713, 1935, 729, 476, 30156, 6872, 275, 536, 335, 543, 621, 3568, 267, 476, 7918, 6090, 8193, 585, 476, 1839, 7929, 1950, 5946, 476, 1428, 10775, 23865, 5946, 267, 476, 1321, 512, 11748, 6090, 543, 1079, 10775, 23865, 10717, 5444, 269, 31453, 693, 335, 289, 267, 678, 1186, 1556, 543, 678, 1186, 866, 824, 6090, 616, 538, 2789, 12215, 269, 634, 5299, 1297, 568, 476, 1321, 538, 512, 11748, 6090, 269, 769, 1840, 267, 5176, 476, 1839, 260, 512, 30802, 28197, 616, 849, 1459, 538, 621, 269, 1452, 544, 339, 5946, 616, 9838, 547, 519, 544, 339, 5946, 1459, 538, 519, 824, 2818, 540, 21191, 11646, 543, 2671, 476, 7176, 260, 5311, 16726, 609, 631, 269, 2545, 321, 529, 10005, 269, 634, 595, 547, 772, 10717, 11049, 568, 25340, 2362, 630, 9262, 5288, 476, 1724, 8472, 538, 31286, 540, 631, 269, 2545, 321, 529, 10005, 630, 17668, 264, 3379, 547, 631, 269, 934, 6058, 1092, 630, 8150, 1040, 634, 19337, 21191, 24197, 11646, 568, 17401, 14095, 609, 476, 22001, 6090, 267, 609, 1447, 30337, 906, 543, 1175, 476, 276, 269, 274, 260, 8392, 6955, 770, 5027, 538, 621, 269, 634, 5826, 540, 1164, 5299, 1297, 540, 6198, 544, 339, 6090, 2303, 602, 789, 723, 513, 2629, 1909, 538, 519, 4720, 540, 19337, 563, 2467, 568, 513, 3395, 991, 547, 1020, 3209, 519, 31706, 585, 6098, 2126, 540, 2860, 269, 634, 32563, 547, 1967, 568, 519, 1702, 827, 799, 2010, 540, 7636, 19260, 616, 15866, 6117, 10510, 3394, 8412, 269, 1677, 8774, 1769, 5196, 713, 1641, 267, 649, 723, 8246, 519, 4102, 6538, 540, 1480, 2860, 13592, 1700, 12839, 16598, 7754, 4692, 4263, 20393, 267, 2789, 3964, 6620, 585, 2860, 9920, 12605, 630, 1708, 271, 15200, 267, 8863, 3008, 300, 15200, 267, 1290, 22683, 291, 18182, 267, 546, 301, 323, 9928, 341, 267, 30905, 15187, 267, 12182, 31778, 306, 267, 2201, 322, 617, 337, 633, 12710, 19851, 299, 267, 2201, 322, 617, 337, 633, 293, 7876, 264, 543, 2919, 2185, 3209, 12985, 27983, 281, 590, 2793, 291, 6020, 293, 630, 306, 17532, 715, 16197, 582, 728, 1325, 614, 566, 667, 6020, 591, 4855, 518, 1070, 717, 4488, 2793, 309, 630, 294, 2940, 20309, 2861, 25767, 7089, 1325, 614, 566, 4406, 573, 1807, 1070, 6730, 6020, 293, 630, 3198, 15710, 30666, 344, 667, 6020, 591, 4855, 518, 264, 543, 623, 3201, 11403, 2975, 630, 303, 4263, 1304, 30071, 767, 667, 6020, 591, 4147, 8595, 1040, 589, 19618, 20104, 10128, 782, 891, 27983, 267, 6620, 543, 14449, 693, 20165, 543, 3461, 2157, 729, 2813, 269, 1284, 723, 1336, 602, 972, 616, 593, 3328, 476, 1321, 9920, 2621, 829, 6084, 712, 267, 540, 799, 476, 271, 269, 277, 616, 2582, 30859, 19260, 630, 17928, 2026, 264, 538, 32346, 4094, 525, 267, 476, 272, 269, 276, 616, 7586, 5874, 540, 32346, 4094, 525, 267, 476, 272, 269, 273, 616, 590, 18456, 538, 6084, 712, 16401, 832, 267, 476, 273, 269, 272, 616, 25533, 687, 540, 6084, 712, 16401, 832, 267, 476, 272, 269, 276, 616, 9920, 15694, 9271, 267, 476, 272, 568, 513, 9920, 15694, 2744, 267, 476, 273, 616, 9920, 15694, 6186, 9271, 267, 543, 476, 272, 269, 276, 616, 9920, 15694, 6186, 12374, 269, 634, 3328, 1297, 540, 9920, 2621, 829, 6084, 712, 4679, 609, 2085, 630, 5228, 476, 278, 547, 476, 1428, 264, 543, 2860, 3942, 630, 5228, 476, 1015, 547, 476, 1428, 264, 543, 9775, 9244, 1063, 2860, 2010, 630, 5228, 476, 272, 547, 476, 2190, 1040, 14904, 609, 476, 272, 543, 476, 278, 9920, 2621, 829, 6084, 712, 616, 519, 1034, 7928, 267, 543, 972, 616, 1360, 1906, 2550, 609, 811, 982, 476, 2412, 2621, 269, 769, 6084, 2293, 2348, 1152, 835, 9920, 2680, 267, 713, 2680, 568, 1034, 1419, 606, 590, 2793, 538, 606, 32346, 10942, 269, 1717, 267, 609, 2810, 1297, 540, 9920, 2621, 829, 6084, 712, 267, 519, 9295, 540, 590, 18456, 11081, 267, 6466, 519, 9295, 540, 5299, 5991, 3784, 19260, 543, 606, 15710, 30666, 344, 2621, 4679, 563, 25889, 281, 634, 27514, 645, 3722, 338, 6823, 5174, 1737, 338, 12814, 630, 14149, 22517, 24871, 12814, 264, 22368, 814, 1044, 4294, 5001, 585, 27514, 5868, 269, 1717, 267, 972, 616, 9444, 4808, 6862, 13618, 593, 7446, 2550, 267, 3732, 2010, 267, 610, 4791, 11444, 585, 1210, 713, 4480, 269, 5047, 267, 1114, 5380, 723, 7153, 3823, 922, 4791, 1871, 269, 901, 1353, 6322, 547, 6218, 922, 4791, 10626, 538, 519, 2796, 540, 4791, 2259, 4092, 538, 513, 27514, 10368, 4099, 538, 2473, 3554, 523, 267, 513, 2749, 538, 22703, 3624, 8160, 1385, 338, 281, 1284, 7318, 476, 273, 267, 3607, 279, 27514, 5439, 609, 2789, 29748, 23053, 1210, 1312, 6671, 737, 776, 19685, 543, 623, 301, 22517, 24871, 12814, 269, 15474, 2164, 689, 623, 301, 22517, 24871, 12814, 941, 20240, 1210, 1699, 4154, 268, 20598, 4485, 269, 24342, 281, 634, 2949, 3928, 585, 519, 7020, 540, 23633, 5299, 1297, 8390, 630, 335, 290, 301, 309, 264, 676, 737, 776, 19685, 543, 623, 301, 22517, 24871, 12814, 941, 476, 272, 269, 280, 260, 630, 5379, 270, 273, 267, 3607, 279, 264, 543, 476, 273, 269, 271, 260, 630, 4366, 270, 273, 267, 3607, 279, 1070, 6606, 269, 634, 2949, 7020, 2557, 540, 737, 776, 19685, 5916, 609, 623, 301, 22517, 24871, 12814, 585, 533, 290, 301, 309, 729, 476, 273, 269, 274, 260, 630, 7918, 270, 273, 267, 3607, 279, 1040, 589, 2698, 540, 476, 1724, 2665, 540, 5299, 1297, 8390, 630, 290, 301, 309, 264, 5976, 513, 3339, 737, 776, 9189, 941, 9571, 676, 623, 301, 22517, 24871, 12814, 269, 6271, 2013, 609, 513, 3339, 737, 776, 9189, 602, 729, 9571, 607, 513, 31368, 309, 540, 3023, 15954, 676, 623, 301, 22517, 24871, 12814, 729, 24019, 547, 581, 14774, 1591, 12526, 676, 2110, 512, 30802, 10956, 2079, 269, 6962, 281, 918, 776, 19685, 5916, 609, 623, 301, 22517, 24871, 12814, 666, 2087, 1312, 519, 6556, 543, 4398, 540, 27514, 5868, 543, 568, 3617, 538, 519, 2034, 959, 30478, 538, 782, 2550, 1510, 19341, 16953, 22114, 945, 10929, 12362, 27514, 5868, 563, 20082, 15703, 4791, 8062, 723, 3254, 519, 3106, 543, 7145, 540, 19113, 268, 272, 270, 11520, 6441, 272, 20127, 538, 683, 1933, 9857, 2779, 3797, 538, 1191, 551, 762, 1875, 23337, 718, 1591, 5761, 2860, 630, 10064, 290, 9448, 1040, 1717, 267, 476, 1240, 1700, 10695, 260, 2550, 666, 4324, 689, 621, 269, 769, 713, 1353, 267, 649, 6322, 547, 2708, 519, 7681, 540, 19113, 6441, 272, 4082, 267, 10510, 15817, 11411, 267, 5299, 1297, 27327, 630, 290, 2793, 267, 1519, 5299, 1297, 2744, 543, 2530, 264, 11411, 609, 519, 2619, 11043, 3210, 547, 683, 1933, 9857, 2779, 19113, 268, 272, 3625, 1228, 543, 8495, 519, 2242, 538, 519, 10510, 4761, 2890, 523, 1444, 630, 2316, 10933, 264, 1282, 683, 1933, 9857, 2779, 6375, 8839, 538, 715, 17092, 9448, 269, 2776, 268, 9404, 684, 8839, 2126, 10510, 5439, 689, 8938, 5991, 710, 715, 17092, 9448, 2550, 945, 4607, 683, 1933, 9857, 2779, 6375, 8839, 609, 521, 842, 559, 574, 629, 267, 606, 4550, 6261, 291, 268, 272, 3075, 267, 941, 16271, 547, 6098, 5027, 15971, 543, 19113, 6441, 272, 6375, 17190, 28969, 269, 634, 27690, 3210, 729, 9797, 17047, 609, 10510, 8167, 6060, 630, 307, 4916, 264, 540, 19113, 6441, 272, 543, 11874, 17047, 609, 5299, 1297, 2744, 630, 290, 301, 326, 664, 264, 11411, 269, 2986, 4063, 267, 519, 4999, 540, 31368, 326, 664, 11411, 543, 570, 4916, 666, 1732, 14404, 1518, 2101, 27690, 3210, 630, 6573, 305, 264, 2550, 982, 1705, 31368, 326, 664, 610, 570, 4916, 4805, 269, 24641, 267, 570, 11586, 4951, 513, 3908, 9756, 609, 27690, 9695, 269, 3958, 267, 19113, 268, 272, 3625, 1228, 3366, 547, 606, 2333, 538, 7131, 279, 266, 11520, 268, 272, 6629, 307, 2281, 799, 729, 24802, 4143, 547, 631, 11266, 607, 11117, 676, 2789, 343, 6375, 1993, 1663, 2803, 12412, 269, 589, 1713, 5786, 538, 7131, 866, 266, 2281, 729, 4767, 538, 519, 6348, 5336, 11266, 1895, 855, 711, 538, 519, 631, 11266, 1895, 267, 10834, 519, 9525, 540, 645, 2281, 538, 5355, 683, 1933, 9857, 2779, 6375, 8839, 3210, 538, 715, 17092, 9448, 269, 8625, 267, 938, 1353, 2488, 1007, 1239, 585, 519, 9756, 540, 19113, 6441, 272, 4082, 543, 22308, 2188, 609, 3075, 3210, 538, 683, 1933, 9857, 2779, 6375, 8839, 5468, 538, 715, 17092, 9448, 269, 634, 2242, 540, 29376, 292, 949, 1683, 3209, 5813, 883, 519, 4761, 6114, 547, 683, 1933, 9857, 2779, 4550, 6261, 291, 268, 272, 3797, 563, 301, 19699, 268, 272, 26148, 17326, 2607, 15033, 26287, 639, 14393, 321, 18442, 6770, 23773, 4791, 2591, 269, 1284, 1867, 513, 562, 657, 665, 6706, 12176, 540, 16087, 777, 523, 655, 15033, 623, 269, 14393, 321, 18442, 538, 3624, 269, 14520, 623, 269, 14393, 321, 18442, 12490, 6394, 538, 519, 1482, 20758, 4951, 2673, 29981, 1644, 1145, 267, 10834, 804, 4689, 7269, 269, 7629, 29837, 543, 3687, 12778, 15971, 7000, 602, 1614, 25904, 3771, 321, 1819, 513, 3209, 27187, 22308, 6532, 476, 272, 8876, 513, 1025, 320, 301, 19699, 1700, 272, 5444, 630, 306, 22835, 272, 268, 272, 301, 19699, 1070, 1247, 1614, 824, 25904, 4951, 11506, 16087, 777, 523, 655, 4187, 543, 5645, 513, 2147, 590, 22835, 272, 855, 609, 1079, 1025, 320, 301, 19699, 1700, 272, 5444, 12215, 630, 306, 22835, 272, 268, 273, 301, 19699, 1040, 9050, 1007, 2582, 30859, 13592, 941, 1459, 538, 519, 25450, 540, 519, 1079, 1532, 5055, 301, 19699, 1700, 272, 3620, 16808, 1681, 25904, 267, 10834, 2663, 11944, 540, 519, 590, 22835, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8894, 258, 595, 8712, 476, 1292, 476, 547, 1376, 519, 3440, 12902, 563, 258, 634, 567, 2119, 10371, 4849, 567, 11151, 5470, 6835, 593, 519, 23641, 689, 1373, 454, 258, 954, 2719, 1194, 609, 8723, 3977, 547, 519, 23641, 563, 258, 476, 5785, 14343, 955, 8894, 339, 787, 912, 825, 1292, 4590, 21955, 1401, 4003, 912, 825, 1820, 3488, 2207, 305, 3036, 910, 2755, 4881, 713, 1449, 267, 3299, 2681, 8782, 1042, 5073, 825, 1820, 3488, 20365, 3009, 6659, 519, 1739, 9868, 281, 3299, 2681, 8782, 1042, 5073, 825, 1820, 4590, 825, 942, 4732, 2748, 263, 272, 994, 825, 6318, 454, 0, 5814, 5299, 1477, 5814, 4351, 1477, 258, 6333, 1210, 519, 13838, 16865, 1657, 269, 24653, 5035, 24051, 281, 5897, 825, 1219, 6449, 8181, 9191, 1345, 267, 2878, 29220, 8029, 1038, 1582, 269, 4186, 757, 815, 1592, 14052, 1038, 585, 737, 267, 642, 538, 737, 342, 29096, 28399, 2018, 585, 1775, 538, 2039, 17635, 8029, 3546, 1582, 269, 4186, 757, 6910, 17347, 10142, 825, 1219, 2721, 4311, 267, 11084, 8029, 1038, 10917, 815, 1496, 15947, 1038, 952, 7003, 4311, 269, 4186, 757, 264, 10922, 11084, 6769, 2018, 10917, 815, 1582, 269, 4186, 757, 1477, 2018, 1582, 269, 4186, 757, 815, 1496, 15947, 2018, 2132, 10917, 1477, 1038, 3116, 6769, 2018, 1247, 11084, 3436, 476, 271, 6769, 3546, 1535, 815, 1582, 269, 4186, 757, 21014, 263, 12690, 20120, 9792, 12759, 4311, 269, 4186, 757, 4297, 3418, 3546, 10917, 6910, 3287, 3418, 3546, 11084, 20699, 476, 272, 1477, 2018, 2132, 10917, 24653, 3698, 4603, 263, 1002, 267, 4397, 318, 27750, 267, 1003, 318, 27750, 5091, 22148, 267, 1003, 318, 23024, 9323, 8029, 825, 711, 6958, 5661, 815, 476, 271, 1477, 825, 14543, 815, 476, 271, 1477, 825, 3168, 318, 1721, 815, 1592, 14052, 825, 585, 737, 267, 642, 538, 4397, 318, 27750, 29096, 28399, 1038, 585, 1775, 538, 2039, 17635, 8029, 2018, 3168, 318, 1721, 6910, 17347, 10142, 825, 4831, 815, 1003, 318, 23024, 9323, 1477, 825, 1247, 4831, 3436, 476, 271, 6769, 1038, 1413, 4671, 11391, 815, 5299, 19709, 788, 32476, 10857, 8504, 318, 1721, 3418, 1038, 4831, 20699, 476, 272, 1477, 1038, 554, 815, 5299, 19709, 788, 32476, 263, 1002, 3418, 1038, 10917, 815, 554, 6155, 3863, 16325, 318, 27750, 5091, 22148, 10142, 1038, 2119, 6769, 2018, 585, 6221, 538, 1413, 4671, 11391, 6769, 3546, 10917, 31927, 263, 14403, 3418, 2018, 711, 6958, 5661, 6834, 476, 272, 1477, 1038, 4849, 28759, 6769, 2018, 14543, 6834, 476, 272, 5897, 825, 952, 711, 6958, 5661, 2652, 476, 271, 6769, 1038, 2132, 476, 271, 1477, 825, 3116, 6769, 1038, 2132, 10581, 263, 2254, 6958, 5661, 264, 1315, 1003, 318, 23024, 9323, 1477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 1692, 666, 594, 6451, 14055, 883, 1250, 15904, 6296, 547, 4383, 536, 2720, 4345, 5829, 1928, 888, 290, 9720, 22521, 338, 267, 971, 607, 5066, 268, 976, 543, 4887, 1212, 4461, 267, 666, 581, 3362, 11368, 883, 707, 15547, 9126, 585, 593, 7308, 30559, 1928, 8323, 269, 4427, 1782, 783, 14055, 11041, 666, 849, 581, 3144, 1354, 610, 1310, 513, 15904, 547, 5732, 2569, 1928, 543, 6553, 269, 1717, 267, 621, 568, 1271, 547, 5077, 609, 513, 4387, 543, 6432, 547, 707, 1560, 547, 1265, 519, 1655, 18262, 543, 1505, 585, 707, 1808, 15904, 2511, 543, 2115, 563, 1432, 568, 519, 17022, 1154, 1184, 585, 14055, 2472, 5227, 676, 6481, 5240, 4653, 888, 21357, 5240, 4653, 5205, 513, 7453, 1587, 5542, 543, 17022, 1154, 1184, 585, 741, 14055, 7840, 269, 901, 2882, 10442, 6216, 8699, 267, 3791, 18407, 4152, 585, 17694, 267, 8244, 540, 513, 15149, 540, 2079, 267, 543, 15984, 547, 2872, 1655, 2853, 563, 4692, 14055, 581, 1031, 547, 4383, 8229, 3441, 1644, 547, 536, 2720, 4345, 888, 4407, 14055, 949, 711, 581, 2111, 547, 10826, 8229, 3441, 267, 621, 814, 1044, 3254, 547, 723, 1761, 3096, 538, 5883, 1928, 543, 6553, 2404, 609, 2175, 899, 536, 2720, 4345, 269, 589, 1507, 476, 1708, 271, 3662, 1353, 1336, 602, 14055, 949, 723, 1928, 3146, 12340, 1324, 5759, 585, 8229, 1928, 269, 1717, 267, 811, 1382, 568, 2877, 547, 4628, 1174, 922, 2360, 593, 8229, 3441, 269, 0, 3528, 281, 7325, 340, 715, 342, 2801, 2763, 777, 340, 1923, 4000, 547, 519, 1158, 281, 1946, 9945, 991, 3979, 12583, 454, 5591, 8745, 769, 634, 9335, 1923, 634, 1353, 540, 3979, 1686, 568, 4909, 547, 513, 2347, 12666, 6575, 2069, 563, 10481, 3073, 670, 1122, 601, 538, 1010, 4583, 1257, 267, 834, 763, 13898, 540, 3778, 2437, 5206, 602, 4000, 568, 968, 7224, 3140, 851, 540, 519, 1158, 282, 621, 814, 1100, 3350, 540, 1646, 547, 8858, 2507, 1432, 649, 5265, 1174, 676, 4000, 267, 568, 519, 1133, 7290, 5566, 267, 25613, 324, 975, 539, 13336, 267, 1869, 3238, 538, 519, 2175, 540, 6071, 2470, 267, 543, 4843, 1934, 1152, 607, 593, 519, 12939, 540, 519, 2622, 779, 3778, 1848, 2859, 23892, 982, 670, 1122, 601, 779, 1361, 725, 827, 4000, 568, 519, 22644, 547, 799, 649, 3180, 1864, 2221, 269, 594, 4076, 1224, 827, 713, 18560, 538, 15257, 5049, 269, 1879, 7234, 13660, 4425, 529, 685, 5595, 9637, 267, 649, 1031, 513, 8574, 689, 670, 1122, 601, 779, 834, 303, 1156, 1580, 1108, 540, 13336, 257, 547, 1732, 1174, 519, 3979, 12677, 6560, 1282, 519, 6406, 7126, 16527, 269, 594, 6557, 27337, 1881, 1631, 3206, 602, 594, 4076, 4121, 827, 834, 763, 27804, 3149, 540, 4563, 28477, 257, 998, 519, 4064, 540, 2576, 945, 4769, 1406, 2015, 4000, 267, 938, 18577, 1753, 267, 513, 17709, 1641, 540, 1353, 538, 519, 1101, 1747, 563, 3719, 519, 2990, 540, 670, 1122, 601, 568, 711, 865, 16613, 269, 4634, 2221, 267, 3979, 5640, 4339, 585, 938, 12583, 547, 581, 7608, 676, 519, 4081, 1158, 269, 898, 7012, 1406, 2394, 519, 3735, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 267, 950, 1896, 3979, 2477, 13264, 741, 7810, 695, 871, 956, 547, 1831, 4830, 6082, 267, 602, 25812, 1417, 878, 12583, 941, 6026, 538, 9945, 269, 901, 2518, 7903, 547, 28160, 1125, 519, 11782, 693, 513, 2797, 543, 7214, 1377, 5795, 4332, 547, 519, 3979, 5525, 5948, 267, 835, 540, 519, 1101, 14046, 4703, 547, 22412, 622, 3979, 1702, 538, 1977, 9945, 269, 9282, 519, 3919, 814, 1500, 1390, 26058, 2094, 922, 17748, 267, 519, 26117, 540, 3979, 626, 14172, 568, 1869, 896, 5230, 1543, 542, 2221, 563, 1103, 1249, 693, 1082, 9945, 267, 1053, 666, 14183, 12666, 6575, 4170, 1510, 2921, 513, 2582, 1875, 8862, 3480, 23408, 1576, 269, 10738, 24243, 267, 16402, 1417, 878, 5380, 616, 865, 3810, 3922, 1242, 602, 519, 20648, 2622, 4317, 3163, 7797, 476, 1001, 271, 4080, 602, 1514, 2257, 538, 5375, 2477, 1185, 519, 1034, 968, 29514, 3310, 9731, 3719, 519, 1158, 568, 4742, 5051, 3486, 1242, 267, 543, 519, 942, 547, 4497, 538, 513, 3102, 6280, 6437, 568, 1459, 269, 1403, 649, 4126, 547, 7639, 519, 21318, 540, 5837, 21140, 799, 3068, 2413, 2486, 267, 649, 1590, 723, 513, 9488, 1620, 540, 519, 12977, 602, 3357, 1354, 721, 269, 3143, 971, 1620, 540, 8103, 568, 2347, 1510, 606, 3408, 540, 922, 1101, 1004, 282, 835, 3112, 4020, 606, 4977, 1686, 540, 18495, 1510, 1101, 6313, 922, 13210, 269, 1403, 9945, 616, 5238, 602, 2832, 547, 3337, 1762, 1004, 883, 2518, 4961, 267, 1287, 649, 723, 2944, 891, 1762, 8186, 513, 1390, 21440, 676, 27195, 12583, 689, 519, 2686, 543, 12105, 5127, 13702, 540, 8103, 563, 5415, 2712, 326, 1836, 267, 1762, 1004, 4324, 689, 7487, 741, 2833, 2443, 741, 2250, 338, 2443, 6719, 538, 519, 4928, 269, 26451, 3979, 1686, 538, 6280, 21195, 2636, 1053, 689, 519, 3979, 29563, 547, 1831, 7298, 538, 513, 1158, 602, 814, 1279, 16934, 873, 269, 31209, 532, 519, 7418, 20338, 723, 1500, 547, 519, 2518, 2146, 666, 1256, 1599, 607, 606, 4550, 2350, 626, 2259, 269, 1879, 649, 1224, 827, 6000, 543, 938, 11937, 538, 9499, 543, 1451, 827, 519, 10848, 540, 938, 3348, 565, 11102, 2250, 338, 267, 649, 14751, 938, 1871, 1369, 519, 2413, 1135, 640, 563, 26170, 267, 621, 568, 711, 2614, 547, 3274, 1331, 3979, 1686, 538, 6280, 21195, 269, 1284, 1590, 2327, 602, 713, 1686, 568, 607, 8076, 543, 2347, 607, 2009, 2443, 602, 621, 1281, 711, 3765, 10517, 6974, 519, 10373, 4763, 540, 519, 11782, 282, 602, 621, 1281, 711, 4099, 3294, 1472, 519, 12625, 540, 5375, 619, 538, 519, 6957, 18818, 2540, 267, 513, 6071, 8486, 339, 766, 538, 519, 5318, 15415, 540, 519, 3979, 1650, 269, 1677, 2671, 519, 11782, 779, 18408, 267, 649, 1590, 17122, 1125, 519, 960, 540, 3979, 5640, 269, 1306, 1082, 3979, 7239, 16941, 593, 5711, 5389, 547, 1665, 519, 2250, 267, 1893, 7496, 1118, 621, 2352, 585, 30707, 547, 7157, 4612, 938, 1950, 12583, 269, 0, 1607, 568, 606, 21287, 540, 513, 3105, 12791, 995, 7591, 269, 7348, 1699, 12791, 995, 7591, 563, 19064, 1077, 909, 1565, 281, 27588, 2259, 883, 3381, 3756, 454, 347, 294, 1868, 543, 4804, 454, 16085, 12944, 267, 5239, 476, 2420, 267, 476, 1556, 281, 1789, 320, 268, 1321, 281, 1789, 335, 454, 347, 32575, 519, 3448, 7145, 540, 1114, 3381, 3014, 2934, 593, 1565, 568, 1271, 585, 3014, 9858, 543, 3014, 3173, 269, 769, 713, 1957, 267, 594, 8044, 602, 2679, 538, 2259, 267, 1945, 602, 666, 2049, 6923, 538, 513, 3381, 3014, 267, 949, 581, 835, 540, 519, 1034, 2500, 3014, 2934, 585, 1565, 269, 2755, 2259, 568, 1634, 547, 581, 1271, 267, 1360, 2370, 4901, 6818, 3823, 875, 547, 2936, 2259, 538, 3381, 3756, 269, 6657, 11148, 547, 3132, 1198, 7306, 1079, 2053, 519, 2450, 540, 1034, 824, 3014, 4632, 585, 1950, 5042, 4247, 269, 11153, 1374, 2093, 585, 7598, 2259, 1759, 593, 1995, 3384, 3978, 3756, 543, 519, 1382, 2963, 616, 4330, 269, 0, 18131, 779, 4975, 1189, 24779, 267, 23582, 6796, 543, 3427, 532, 538, 8828, 6792, 454, 21292, 281, 302, 1314, 659, 753, 267, 6792, 267, 6469, 4600, 267, 2021, 267, 18375, 454, 6546, 476, 2412, 267, 1822, 2021, 960, 607, 7622, 4600, 538, 744, 1314, 20403, 4975, 630, 28134, 476, 14596, 267, 1822, 264, 568, 16363, 968, 854, 1164, 585, 513, 2197, 607, 2919, 607, 6792, 892, 630, 306, 601, 2421, 267, 32298, 543, 22784, 333, 345, 517, 476, 1960, 272, 281, 4366, 282, 5442, 9680, 296, 476, 1220, 272, 1040, 6599, 333, 4919, 1239, 6394, 1851, 2021, 4867, 543, 693, 835, 942, 2324, 607, 2901, 2407, 6066, 610, 3232, 10774, 712, 569, 6469, 4600, 8774, 1769, 593, 519, 19178, 5185, 676, 5667, 330, 2683, 2021, 2749, 1189, 20404, 945, 1265, 7694, 538, 519, 9803, 6976, 267, 2547, 20380, 6009, 538, 519, 4683, 4346, 269, 5565, 2013, 2090, 616, 4843, 547, 9414, 2081, 602, 2021, 781, 6976, 7622, 4074, 666, 8804, 741, 1378, 610, 741, 1453, 781, 11601, 540, 519, 18375, 1270, 15363, 585, 811, 2744, 995, 267, 2362, 6976, 3029, 540, 4683, 6101, 5823, 7694, 563, 1692, 547, 25737, 454, 6717, 21922, 9539, 517, 4467, 14293, 268, 5591, 32056, 643, 2510, 476, 275, 269, 271, 0, 1103, 519, 476, 5908, 271, 338, 267, 4892, 538, 835, 851, 540, 519, 2197, 4682, 547, 2112, 1996, 4892, 538, 1776, 851, 540, 519, 2197, 269, 901, 1826, 540, 2112, 568, 1572, 513, 3540, 2112, 269, 634, 6406, 2782, 1063, 519, 7187, 2829, 543, 519, 7013, 2829, 16768, 2185, 1296, 267, 689, 476, 5908, 272, 547, 476, 5908, 276, 269, 634, 2112, 5949, 1310, 5756, 540, 7440, 1063, 519, 3345, 543, 519, 3162, 269, 1879, 519, 8165, 3323, 267, 621, 3361, 15265, 9552, 547, 519, 2197, 267, 543, 936, 476, 8517, 267, 1822, 1004, 5747, 269, 2991, 519, 2112, 729, 936, 267, 972, 941, 811, 7440, 827, 875, 519, 2112, 1058, 581, 15422, 269, 1715, 24900, 5129, 513, 1909, 538, 782, 540, 891, 2621, 267, 543, 519, 6406, 2782, 1185, 513, 2462, 1764, 593, 1004, 779, 2729, 538, 519, 21081, 924, 3557, 269, 0, 16987, 1466, 519, 9159, 2528, 540, 519, 7111, 4892, 540, 519, 19566, 11076, 256, 3245, 519, 7524, 11247, 540, 519, 670, 4660, 320, 547, 519, 5704, 2299, 20077, 13968, 540, 519, 570, 1782, 527, 267, 519, 2528, 540, 891, 3689, 8315, 9082, 568, 2407, 540, 5863, 2984, 543, 4190, 5389, 563, 290, 727, 543, 2263, 519, 2757, 2984, 267, 11247, 267, 543, 1426, 540, 519, 19566, 11076, 11031, 269, 6258, 827, 519, 2189, 2686, 2853, 540, 519, 570, 13678, 3333, 1014, 267, 715, 5060, 1779, 267, 543, 32765, 752, 342, 10440, 685, 342, 752, 342, 9082, 269, 13028, 519, 2956, 540, 9103, 655, 18635, 543, 519, 10096, 3297, 519, 13968, 563, 6826, 6273, 676, 519, 3532, 2528, 543, 5389, 540, 519, 19566, 11076, 7111, 1977, 1004, 269, 6258, 827, 741, 2189, 4654, 267, 9821, 267, 543, 4978, 269, 4855, 856, 875, 741, 2528, 5170, 547, 11457, 543, 8853, 538, 2413, 2053, 563, 290, 727, 593, 606, 7045, 543, 1491, 513, 32708, 883, 519, 4241, 1158, 540, 519, 19566, 11076, 7111, 1977, 1004, 269, 13028, 519, 5898, 543, 17381, 540, 741, 2528, 543, 2744, 513, 4514, 1620, 540, 741, 1259, 540, 1272, 269, 12833, 924, 707, 3988, 547, 6443, 596, 593, 513, 3460, 540, 6602, 543, 1451, 811, 827, 519, 19566, 11076, 7111, 1977, 1004, 563, 763, 19566, 11076, 7111, 4892, 723, 513, 3638, 2528, 543, 1686, 602, 568, 1869, 9976, 2221, 269, 4256, 2528, 568, 2356, 2404, 609, 519, 7414, 19566, 3148, 540, 3345, 3013, 543, 2882, 1082, 1114, 11031, 267, 971, 607, 519, 670, 4660, 320, 267, 570, 1782, 527, 267, 543, 32765, 752, 342, 10440, 685, 342, 752, 342, 269, 901, 2528, 814, 1044, 5293, 1524, 998, 5481, 1210, 5711, 2984, 267, 8964, 267, 543, 824, 3029, 540, 2792, 563, 763, 19566, 11076, 7111, 4892, 723, 513, 1686, 602, 7389, 1394, 5215, 540, 1296, 269, 4256, 2528, 729, 4646, 676, 519, 1604, 789, 5030, 538, 267, 799, 729, 2407, 540, 10731, 2200, 269, 1358, 2919, 513, 2189, 1259, 540, 1272, 602, 729, 1759, 593, 10068, 267, 10122, 267, 543, 9467, 269, 1358, 849, 2919, 741, 1378, 4984, 543, 5289, 4978, 269, 3509, 540, 891, 4978, 616, 1869, 13736, 2221, 563, 763, 19566, 11076, 7111, 4892, 723, 513, 1360, 3638, 2528, 269, 1358, 723, 513, 2620, 4276, 609, 519, 2244, 543, 741, 1604, 267, 799, 568, 10630, 538, 1082, 540, 741, 9821, 543, 4978, 269, 1358, 616, 1634, 585, 741, 1494, 331, 2255, 18428, 267, 799, 616, 14969, 905, 6814, 602, 1331, 13465, 267, 15472, 267, 543, 9423, 269, 1358, 849, 723, 513, 2178, 2631, 540, 2146, 543, 1747, 513, 1390, 8561, 593, 1920, 543, 2245, 563, 763, 19566, 11076, 7111, 4892, 616, 1134, 1634, 585, 741, 1148, 267, 799, 2882, 9103, 655, 18635, 267, 13968, 267, 543, 1286, 19133, 269, 1452, 1148, 3029, 616, 1031, 547, 2995, 2984, 543, 547, 29428, 1271, 2621, 538, 519, 2729, 540, 519, 1004, 269, 4256, 1148, 568, 1419, 29116, 11954, 543, 2882, 6946, 6272, 602, 616, 5921, 547, 2995, 2984, 543, 547, 8956, 519, 14326, 602, 9468, 519, 2244, 563, 763, 19566, 11076, 7111, 4892, 3717, 513, 3099, 540, 4654, 269, 1452, 4654, 616, 851, 540, 513, 3677, 1893, 1920, 1634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 698, 822, 31488, 547, 4309, 513, 1732, 1560, 286, 634, 2626, 568, 513, 329, 10722, 553, 23984, 553, 5953, 281, 1317, 540, 14407, 22293, 269, 2290, 945, 568, 538, 2347, 14334, 3112, 917, 1018, 1010, 2250, 1272, 729, 610, 1018, 1010, 1985, 1272, 786, 581, 282, 646, 568, 3274, 5461, 538, 1010, 1459, 1560, 269, 4634, 1498, 646, 814, 513, 1480, 1560, 267, 513, 1268, 538, 519, 7154, 540, 22293, 543, 5461, 1152, 538, 1010, 1459, 1560, 568, 899, 606, 3662, 267, 585, 606, 3662, 267, 1373, 4988, 676, 22293, 267, 14659, 602, 519, 10700, 3804, 540, 1272, 543, 8788, 568, 547, 3548, 607, 1454, 607, 2009, 269, 589, 1480, 1373, 1590, 581, 13473, 547, 1174, 1010, 2250, 1272, 543, 875, 646, 666, 20089, 585, 513, 1732, 1272, 538, 519, 2104, 269, 1703, 568, 1256, 513, 1433, 267, 1572, 13225, 9719, 505, 7666, 1606, 320, 9719, 479, 327, 527, 5953, 267, 799, 8761, 1344, 827, 835, 779, 2250, 267, 1459, 543, 2104, 2729, 2687, 547, 4230, 25233, 9273, 269, 2368, 6011, 610, 824, 835, 1590, 581, 24084, 2989, 827, 1010, 2250, 267, 1459, 543, 2104, 269, 2290, 945, 568, 5461, 1152, 538, 1010, 1459, 1560, 543, 945, 13290, 547, 2972, 1010, 12823, 547, 519, 2407, 652, 6708, 568, 6956, 547, 581, 1266, 1484, 539, 538, 519, 7154, 540, 22293, 269, 3571, 2104, 568, 1360, 267, 1360, 4158, 269, 11569, 267, 519, 2104, 568, 2141, 4158, 585, 835, 945, 568, 14407, 569, 4988, 676, 22293, 269, 23883, 538, 713, 2085, 267, 1480, 2486, 568, 4988, 676, 519, 7154, 540, 22293, 267, 543, 4061, 3025, 14659, 1010, 1459, 1560, 547, 581, 3388, 267, 1510, 7156, 540, 519, 2250, 610, 2104, 269, 0, 25486, 783, 11922, 267, 605, 1598, 622, 610, 16245, 267, 1350, 629, 9317, 630, 514, 15117, 1040, 27817, 538, 21828, 887, 3553, 974, 543, 28471, 710, 267, 3003, 267, 10981, 539, 610, 533, 4883, 2299, 26819, 539, 269, 769, 4148, 2803, 12412, 513, 5198, 1889, 269, 9484, 1023, 10825, 267, 3006, 26372, 539, 610, 521, 3147, 622, 282, 24968, 804, 31090, 267, 3043, 547, 11909, 610, 544, 879, 557, 630, 528, 5835, 3544, 15117, 5148, 26176, 839, 476, 277, 269, 22500, 524, 269, 476, 272, 1700, 273, 2053, 607, 1279, 607, 3376, 267, 632, 20130, 1417, 282, 2511, 2110, 609, 20158, 32728, 10028, 16663, 282, 31027, 636, 4389, 547, 15534, 282, 5452, 538, 476, 273, 9343, 267, 3875, 563, 277, 2249, 267, 21049, 547, 5245, 563, 11854, 2886, 540, 9093, 651, 320, 723, 1507, 267, 19316, 610, 1102, 3836, 5613, 538, 799, 519, 31027, 636, 568, 4389, 547, 513, 7522, 26079, 610, 4625, 15534, 267, 543, 519, 5452, 616, 538, 476, 273, 9343, 543, 3875, 269, 634, 9018, 26079, 540, 519, 4829, 267, 3006, 609, 513, 6418, 7425, 534, 748, 1166, 1052, 630, 1492, 31027, 636, 1070, 26251, 538, 2025, 1102, 1192, 525, 322, 1878, 269, 24125, 2426, 807, 814, 5613, 21603, 569, 2147, 547, 1346, 540, 9093, 651, 320, 855, 519, 31027, 636, 568, 4628, 2919, 2066, 519, 7522, 652, 8006, 269, 0, 14503, 1662, 11568, 538, 17976, 476, 1240, 910, 634, 3026, 1188, 4083, 1546, 1188, 630, 4792, 2187, 1432, 568, 519, 3119, 1973, 3761, 547, 519, 2212, 543, 8405, 888, 8489, 1281, 519, 29433, 3761, 585, 1973, 547, 519, 2212, 543, 8405, 2097, 689, 888, 1432, 568, 519, 16050, 540, 1455, 5169, 585, 519, 25558, 573, 543, 1016, 743, 822, 1014, 16209, 888, 1432, 568, 1114, 827, 14918, 543, 5243, 538, 14621, 547, 741, 2909, 577, 1470, 21306, 545, 17657, 888, 29381, 1016, 743, 822, 1014, 814, 5094, 5169, 1055, 540, 519, 513, 677, 320, 454, 1432, 16050, 7727, 8371, 547, 519, 9451, 13887, 6091, 543, 11983, 10260, 888, 1432, 2619, 1281, 519, 9451, 13887, 16050, 1491, 888, 303, 13293, 998, 519, 585, 600, 2088, 540, 476, 277, 628, 998, 476, 272, 560, 17818, 26485, 454, 1432, 1079, 16209, 1683, 5634, 8371, 547, 519, 8405, 888, 28308, 17818, 16050, 543, 21603, 17818, 16050, 454, 8489, 1281, 519, 1455, 25558, 573, 16050, 7941, 888, 763, 1377, 540, 519, 1728, 1355, 454, 1432, 616, 519, 1079, 15523, 540, 519, 1455, 25558, 573, 16050, 270, 563, 1103, 4156, 543, 5007, 454, 1432, 25558, 573, 7936, 7727, 1034, 540, 519, 2212, 888, 2750, 4156, 25558, 573, 16050, 454, 8489, 1281, 519, 22623, 658, 11178, 16050, 2097, 689, 888, 13349, 25558, 573, 16050, 454, 1432, 1281, 519, 22623, 658, 11178, 16050, 3761, 888, 14106, 1356, 320, 543, 5887, 1537, 25946, 1155, 454, 1432, 616, 1079, 1271, 3889, 540, 519, 4835, 25558, 573, 16050, 888, 10111, 582, 573, 18980, 543, 25558, 573, 1560, 454, 1432, 568, 519, 25558, 573, 18980, 888, 291, 7976, 693, 519, 5169, 540, 519, 594, 7563, 454, 1432, 568, 8659, 1369, 519, 25558, 573, 18980, 888, 1432, 568, 519, 25558, 573, 1560, 888, 288, 1507, 2527, 267, 11105, 547, 25558, 573, 18980, 602, 3568, 2447, 648, 1061, 832, 454, 1432, 568, 519, 2619, 540, 519, 594, 7563, 888, 294, 3996, 21053, 958, 547, 519, 15693, 543, 13788, 998, 519, 25558, 573, 12324, 454, 1432, 568, 1114, 827, 519, 594, 7563, 538, 678, 6058, 1218, 888, 14946, 338, 855, 7475, 829, 514, 520, 958, 454, 1432, 616, 519, 2185, 1292, 8371, 540, 519, 661, 7563, 888, 290, 31424, 561, 31099, 910, 1306, 322, 2056, 943, 31099, 910, 700, 532, 783, 910, 12769, 760, 1388, 454, 1432, 616, 519, 1079, 795, 1872, 983, 15532, 888, 1103, 4156, 543, 5007, 454, 1432, 28368, 883, 519, 5007, 795, 1872, 983, 888, 27650, 12775, 540, 519, 2212, 543, 8405, 267, 1519, 21603, 543, 2620, 4525, 454, 1432, 4386, 693, 519, 4835, 795, 1872, 983, 888, 8253, 1454, 267, 711, 1360, 1271, 538, 1034, 2831, 454, 8489, 568, 519, 4835, 795, 1872, 983, 888, 20751, 519, 25558, 573, 1352, 987, 454, 8489, 1281, 519, 5007, 795, 1872, 983, 1106, 888, 301, 792, 5086, 540, 519, 8260, 1043, 454, 1432, 4887, 1281, 519, 5007, 795, 1872, 983, 3444, 936, 888, 1432, 4887, 1281, 519, 5007, 795, 1872, 983, 4685, 883, 888, 1432, 1281, 519, 5007, 795, 1872, 983, 3565, 547, 888, 13528, 566, 540, 519, 22623, 658, 642, 6511, 524, 6072, 454, 8489, 568, 519, 5007, 795, 1872, 983, 1336, 538, 9640, 888, 1103, 519, 795, 1872, 983, 9240, 913, 1063, 519, 2909, 577, 1470, 21306, 16307, 543, 519, 29523, 334, 21306, 16307, 454, 1432, 616, 519, 1079, 8371, 540, 519, 3119, 9726, 12775, 538, 519, 8405, 888, 21841, 325, 2772, 17818, 9726, 9136, 454, 734, 543, 4534, 8894, 28308, 17818, 9726, 9136, 454, 8489, 616, 519, 15988, 673, 17818, 9726, 9136, 888, 28308, 547, 519, 21603, 8405, 6091, 267, 22623, 658, 547, 519, 13105, 454, 8489, 616, 519, 2620, 17818, 9726, 9136, 888, 305, 684, 2059, 3259, 540, 30439, 320, 267, 1419, 5258, 883, 22623, 658, 543, 1309, 644, 531, 2516, 454, 1432, 28368, 519, 9726, 540, 519, 2212, 270, 928, 1188, 888, 303, 8529, 30439, 531, 28954, 602, 2196, 519, 3259, 540, 519, 8405, 454, 8489, 1281, 519, 9726, 593, 519, 2451, 2427, 540, 519, 8405, 8963, 883, 888, 8489, 1281, 519, 9726, 593, 519, 1318, 2427, 540, 519, 8405, 8963, 883, 888, 14738, 30754, 13811, 454, 1432, 616, 519, 1614, 7121, 540, 13285, 1336, 538, 519, 8405, 888, 290, 969, 673, 11983, 13285, 910, 22623, 658, 13285, 910, 8238, 5669, 13285, 454, 1432, 22623, 658, 13285, 2097, 856, 519, 795, 1872, 983, 585, 29546, 888, 290, 301, 26577, 267, 2473, 267, 543, 2473, 296, 454, 1432, 568, 31368, 26577, 888, 1432, 568, 31368, 2473, 888, 1432, 568, 31368, 2473, 296, 888, 1432, 22623, 658, 13285, 616, 1336, 538, 519, 3834, 13709, 1601, 531, 12324, 888, 1432, 568, 31368, 2473, 2862, 888, 1432, 568, 519, 20735, 320, 17818, 529, 888, 290, 272, 630, 663, 930, 595, 273, 264, 540, 519, 5887, 1537, 15155, 639, 6443, 609, 11103, 5645, 676, 519, 3834, 13709, 657, 1087, 531, 8229, 547, 1106, 8520, 454, 1432, 1599, 1281, 519, 20735, 320, 17818, 529, 1683, 888, 300, 19318, 547, 519, 1309, 644, 531, 1728, 1355, 1895, 267, 12971, 590, 27602, 12088, 454, 1432, 4887, 798, 595, 273, 910, 290, 276, 5887, 1537, 986, 14741, 533, 15127, 998, 888, 1432, 1599, 798, 595, 273, 4211, 276, 1683, 888, 300, 19318, 543, 10444, 547, 519, 8405, 454, 1432, 568, 2027, 827, 519, 5887, 1537, 986, 14741, 540, 595, 276, 888, 17809, 728, 5179, 543, 10444, 547, 519, 9938, 2711, 5247, 25714, 18215, 454, 1432, 616, 519, 13285, 689, 519, 5887, 1537, 15155, 639, 540, 595, 273, 888, 15124, 28050, 7781, 562, 269, 543, 3690, 2091, 17818, 562, 563, 1432, 568, 519, 10444, 3892, 585, 519, 3152, 1624, 760, 1388, 8229, 888, 305, 739, 1537, 6712, 540, 1274, 543, 1283, 540, 2212, 454, 1432, 568, 519, 3152, 1624, 760, 1388, 8229, 888, 323, 832, 531, 15155, 639, 540, 595, 273, 454, 1432, 568, 519, 10444, 3892, 585, 519, 1390, 28050, 7781, 8229, 888, 2865, 887, 560, 1537, 851, 540, 8405, 543, 1274, 454, 1432, 568, 519, 10444, 3892, 585, 519, 29529, 17818, 8229, 888, 309, 11384, 6712, 540, 519, 8405, 454, 1432, 568, 519, 10444, 3892, 585, 519, 595, 274, 24725, 543, 5887, 1537, 986, 14741, 888, 305, 739, 1537, 6712, 540, 519, 8405, 2673, 547, 519, 3490, 540, 519, 10772, 454, 1432, 568, 519, 10444, 3892, 585, 519, 595, 275, 24725, 543, 5887, 1537, 986, 14741, 888, 7197, 1309, 644, 531, 540, 519, 13285, 267, 543, 786, 979, 883, 519, 2909, 577, 658, 533, 2716, 639, 454, 8489, 568, 519, 13112, 657, 2096, 20627, 17657, 888, 20751, 519, 25558, 573, 1352, 987, 454, 1432, 568, 538, 519, 13112, 657, 2096, 20627, 17657, 888, 290, 969, 673, 25091, 5832, 543, 519, 13112, 639, 8229, 454, 1432, 1281, 519, 22623, 658, 17818, 14228, 331, 542, 798, 888, 17809, 728, 1623, 6312, 12060, 585, 1034, 540, 519, 2212, 543, 8405, 454, 1432, 616, 519, 1079, 2694, 540, 519, 2892, 643, 776, 15374, 888, 13640, 582, 573, 543, 8260, 24212, 454, 8489, 568, 519, 11178, 14189, 4092, 888, 17484, 18355, 14189, 4092, 2059, 519, 5011, 540, 519, 9938, 2711, 30439, 320, 454, 1432, 1281, 519, 22623, 658, 11178, 18916, 8963, 883, 888, 1432, 1281, 519, 1309, 644, 531, 11178, 18916, 8963, 883, 888, 734, 10758, 4534, 454, 1432, 616, 519, 10981, 525, 540, 519, 11178, 2404, 609, 888, 290, 571, 1400, 543, 1309, 644, 531, 1612, 4331, 5514, 15374, 454, 8489, 568, 519, 1309, 644, 531, 1612, 4331, 5514, 14189, 888, 21615, 539, 4765, 538, 519, 11178, 5160, 454, 1432, 568, 519, 11178, 568, 628, 16443, 888, 21206, 5160, 28043, 1063, 519, 1079, 10981, 525, 5887, 1537, 547, 519, 30439, 320, 454, 8489, 568, 519, 11178, 568, 628, 16443, 1336, 888, 290, 4490, 267, 14918, 267, 543, 9640, 0, 31413, 2551, 1761, 568, 513, 1434, 2268, 540, 4683, 8901, 4205, 269, 1717, 267, 3105, 2090, 1419, 8655, 2551, 1239, 547, 519, 11889, 1448, 540, 519, 2229, 610, 519, 1298, 5514, 540, 519, 3148, 267, 971, 607, 519, 10315, 267, 20758, 610, 8498, 269, 769, 891, 2665, 267, 1079, 2042, 2291, 281, 630, 272, 264, 519, 7997, 1298, 5514, 1966, 543, 630, 273, 264, 519, 4336, 1966, 269, 1677, 1732, 4308, 609, 891, 2042, 267, 649, 6069, 513, 3209, 1505, 585, 1138, 6819, 519, 4683, 2551, 1761, 1759, 593, 4683, 15649, 1210, 808, 21628, 24175, 19435, 607, 519, 1353, 1858, 269, 901, 1353, 5342, 1382, 593, 513, 8760, 10325, 1759, 593, 1858, 585, 4683, 15649, 543, 2919, 606, 4683, 2551, 1761, 2203, 593, 519, 4493, 540, 513, 1761, 2203, 269, 634, 8901, 11191, 540, 519, 4683, 2551, 1761, 693, 1585, 4683, 10253, 543, 519, 3102, 4683, 2551, 1761, 540, 808, 21628, 24175, 941, 5462, 269, 634, 8901, 4806, 568, 834, 338, 4822, 808, 21628, 24175, 1164, 543, 5087, 7266, 1537, 808, 21628, 24175, 1970, 2580, 799, 568, 5812, 609, 519, 834, 335, 1961, 14289, 257, 8901, 1062, 269, 901, 1353, 849, 3379, 519, 13502, 540, 519, 1007, 1505, 543, 513, 2757, 1505, 269, 11778, 7000, 602, 519, 1505, 1759, 593, 4683, 15649, 729, 9120, 538, 1138, 6819, 1483, 8901, 3270, 540, 519, 4683, 2551, 1761, 269, 4329, 9283, 1058, 1445, 593, 4890, 2175, 267, 971, 607, 1780, 762, 2769, 3118, 1303, 27509, 543, 608, 1080, 543, 16749, 10473, 267, 543, 1164, 18286, 16749, 1239, 1058, 581, 6964, 950, 1138, 6819, 519, 4683, 2551, 1761, 2066, 16899, 543, 3152, 3624, 563, 291, 784, 267, 715, 1421 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29394, 779, 4063, 281, 901, 568, 519, 2034, 2022, 538, 513, 3126, 827, 6177, 7888, 5065, 12202, 2854, 676, 654, 754, 344, 667, 27927, 267, 15444, 294, 309, 269, 634, 3791, 543, 3803, 2022, 267, 513, 2030, 1592, 267, 786, 2408, 1985, 3018, 563, 5475, 513, 3643, 547, 1250, 13452, 676, 13222, 689, 519, 1715, 16593, 10748, 889, 517, 5980, 267, 594, 17251, 547, 7759, 1250, 4677, 540, 12362, 2249, 269, 3733, 3804, 568, 547, 3035, 1773, 11294, 636, 27872, 543, 267, 18867, 267, 12362, 2371, 3112, 3382, 811, 982, 476, 1015, 260, 540, 1250, 3959, 282, 606, 6454, 689, 519, 7108, 5426, 594, 4607, 538, 4864, 269, 589, 5363, 3391, 593, 875, 547, 1544, 543, 2936, 513, 811, 6177, 7888, 13452, 267, 676, 8939, 5065, 2371, 602, 9290, 707, 2115, 607, 1134, 607, 5017, 267, 568, 3177, 676, 519, 24613, 7111, 3896, 272, 269, 589, 3226, 3730, 1907, 568, 519, 2030, 5542, 3391, 602, 2337, 596, 2824, 2371, 602, 3514, 707, 12202, 2115, 543, 2175, 865, 596, 666, 1118, 707, 1378, 2030, 1592, 273, 269, 589, 5065, 2030, 568, 6700, 1175, 676, 10024, 707, 3148, 267, 1769, 10421, 267, 3037, 7509, 267, 6978, 1826, 267, 7320, 1871, 3077, 543, 16036, 1974, 563, 1607, 2887, 267, 519, 1101, 2030, 547, 581, 6569, 568, 1250, 1875, 32704, 1359, 4457, 530, 3563, 807, 602, 594, 786, 4440, 5372, 609, 10748, 889, 517, 779, 19583, 540, 513, 3444, 341, 710, 610, 25041, 564, 11903, 269, 634, 2034, 2030, 602, 594, 786, 1491, 593, 786, 581, 519, 8262, 23516, 3131, 12685, 30257, 630, 309, 4532, 320, 2101, 1040, 6168, 476, 272, 267, 1822, 4009, 3952, 540, 1250, 13452, 267, 9944, 1250, 2182, 6229, 338, 568, 4988, 609, 8262, 23516, 3131, 12685, 30257, 865, 594, 1544, 593, 1210, 1896, 2371, 547, 5372, 713, 2666, 3382, 538, 519, 851, 695, 8014, 1858, 609, 8795, 5232, 540, 3037, 7509, 269, 901, 786, 849, 2333, 519, 4763, 540, 2371, 538, 1250, 13452, 543, 1032, 15778, 2681, 1719, 269, 898, 568, 5266, 2653, 547, 7485, 519, 966, 4532, 320, 2101, 909, 676, 519, 5072, 267, 4352, 789, 5227, 544, 12976, 621, 1101, 267, 1317, 540, 519, 11606, 540, 4764, 713, 1032, 269, 4014, 594, 723, 2907, 6569, 519, 631, 574, 6242, 543, 17659, 5112, 13428, 4054, 1296, 3516, 267, 741, 5449, 4527, 568, 10423, 676, 519, 7928, 19155, 602, 1869, 10351, 3729, 538, 1250, 13452, 267, 865, 713, 4674, 540, 16701, 1709, 786, 2154, 5571, 28858, 563, 5522, 13589, 540, 519, 4244, 5065, 2371, 786, 2049, 7930, 936, 942, 607, 594, 2707, 519, 2371, 689, 1858, 5740, 7685, 267, 11126, 1250, 6578, 543, 7747, 519, 2371, 685, 2773, 15022, 3512, 958, 543, 3235, 10999, 269, 594, 2907, 723, 930, 540, 519, 5065, 2371, 543, 594, 786, 5000, 873, 547, 3262, 543, 949, 29608, 873, 563, 4002, 4864, 476, 276, 267, 476, 1001, 279, 267, 519, 1715, 16593, 10748, 889, 517, 5980, 10272, 1250, 13452, 1310, 594, 4904, 856, 513, 2241, 2228, 7662, 1106, 272, 269, 594, 4862, 827, 741, 16819, 674, 7037, 26335, 27872, 5358, 273, 1310, 11504, 519, 7982, 12881, 26085, 12909, 799, 941, 4843, 693, 519, 932, 987, 600, 11094, 26844, 5870, 593, 5147, 476, 866, 267, 476, 1001, 279, 269, 3733, 3395, 1719, 538, 519, 2956, 540, 1250, 4677, 547, 7320, 3357, 827, 1317, 594, 3459, 2542, 8935, 326, 30460, 18081, 779, 1433, 267, 20780, 532, 7186, 5851, 274, 269, 634, 1433, 729, 5227, 693, 513, 20736, 5069, 12567, 17072, 4901, 713, 5614, 593, 5065, 2371, 676, 8230, 18703, 267, 13930, 8689, 540, 12135, 15636, 19680, 12567, 9622, 7978, 563, 6524, 634, 16731, 454, 763, 13995, 1377, 630, 338, 559, 591, 267, 4154, 610, 31091, 264, 568, 5462, 676, 12719, 519, 6871, 540, 707, 2139, 3959, 630, 12671, 476, 1724, 267, 7742, 13483, 269, 1111, 269, 538, 1250, 2013, 264, 4988, 676, 5065, 610, 12362, 2030, 2249, 543, 519, 1297, 540, 7320, 7226, 3681, 275, 2139, 538, 519, 13452, 269, 3733, 476, 271, 269, 4391, 23505, 630, 1626, 267, 14056, 13483, 269, 10264, 4700, 2650, 11057, 3959, 2640, 689, 513, 9921, 2182, 6229, 17280, 1858, 538, 519, 18147, 865, 594, 2219, 594, 1131, 3035, 693, 2547, 930, 4110, 540, 6177, 3659, 17349, 269, 634, 1184, 568, 811, 3608, 952, 596, 723, 513, 1434, 4729, 5619, 540, 707, 3959, 543, 513, 16861, 1592, 540, 707, 2030, 2249, 269, 594, 2907, 1185, 891, 3688, 607, 513, 4487, 32529, 1317, 649, 16432, 891, 6054, 538, 938, 23721, 5004, 4643, 607, 851, 540, 519, 9457, 8493, 10273, 27872, 269, 594, 729, 849, 9684, 995, 602, 538, 3105, 1296, 649, 6569, 12362, 2249, 971, 607, 519, 4672, 1673, 600, 3042, 17659, 5112, 13428, 630, 13695, 6350, 1289, 2044, 3570, 264, 543, 513, 30255, 13147, 6242, 3529, 630, 2704, 321, 714, 807, 15567, 2320, 1170, 514, 1040, 1703, 616, 2789, 8638, 540, 12362, 2249, 547, 2057, 9544, 538, 519, 623, 1221, 23992, 2139, 693, 2069, 12250, 7270, 971, 607, 519, 3345, 10491, 15636, 19680, 12567, 276, 543, 3345, 10491, 3557, 2160, 24613, 7111, 3896, 277, 553, 1134, 607, 824, 3906, 278, 267, 279, 563, 7628, 519, 16731, 454, 16248, 13222, 689, 519, 1715, 16593, 10748, 889, 517, 5980, 7444, 15336, 1472, 1250, 13452, 543, 2067, 17280, 1858, 543, 3461, 569, 12943, 782, 1250, 2055, 543, 3576, 4967, 15738, 856, 2249, 540, 2371, 602, 941, 1434, 267, 711, 865, 1434, 543, 2808, 606, 12362, 3463, 585, 5017, 269, 898, 729, 513, 16419, 4879, 540, 1250, 13452, 543, 4677, 609, 2463, 547, 5065, 2030, 2249, 543, 7320, 7226, 543, 513, 1360, 3872, 1079, 3108, 269, 594, 729, 1360, 30590, 547, 581, 5483, 602, 594, 1185, 519, 11527, 5737, 5065, 595, 8735, 1922, 569, 30597, 630, 31738, 983, 807, 23209, 528, 264, 896, 1250, 581, 3663, 3529, 630, 293, 27534, 6264, 604, 16288, 264, 799, 594, 1185, 2760, 8068, 2394, 789, 11329, 873, 856, 607, 1134, 607, 4857, 513, 12094, 2389, 26985, 5065, 4414, 2590, 22447, 15634, 630, 2026, 2193, 335, 5362, 15254, 20672, 1092, 700, 4700, 2282, 513, 1360, 1804, 3043, 18073, 630, 5226, 2075, 639, 620, 9346, 1040, 2290, 540, 3345, 10491, 779, 10545, 29762, 2371, 267, 20128, 1540, 15604, 13582, 630, 2419, 574, 7469, 10042, 5672, 592, 1092, 267, 513, 6390, 533, 2354, 23579, 11445, 264, 729, 4767, 538, 519, 2067, 1858, 269, 589, 5065, 2666, 3382, 540, 9098, 2879, 6033, 2393, 630, 288, 2077, 565, 5255, 807, 1583, 25871, 7559, 264, 729, 849, 16559, 2429, 519, 6978, 16445, 269, 4033, 5065, 19211, 540, 15561, 6229, 630, 309, 756, 1248, 636, 7202, 23628, 264, 543, 853, 269, 12448, 779, 2275, 1484, 630, 29730, 32337, 5409, 545, 32403, 630, 299, 4700, 595, 7949, 345, 264, 941, 3833, 1455, 538, 1250, 18147, 267, 711, 547, 2446, 513, 1762, 4563, 10733, 29728, 630, 301, 903, 21542, 861, 331, 341, 1738, 320, 1916, 2026, 513, 32529, 267, 594, 723, 1044, 6963, 539, 998, 2069, 269, 634, 1715, 16593, 10748, 889, 517, 5980, 11329, 856, 519, 1082, 12362, 2249, 543, 849, 519, 25165, 538, 1250, 13452, 269, 4208, 616, 25165, 1271, 286, 7111, 2371, 267, 2523, 5065, 4054, 267, 3984, 513, 3099, 540, 7786, 602, 616, 2556, 585, 5017, 547, 3049, 741, 1762, 543, 891, 2371, 3984, 519, 7786, 602, 616, 4105, 547, 5017, 543, 519, 1950, 1426, 3103, 602, 723, 7960, 538, 938, 2199, 1858, 273, 267, 274, 269, 700, 1235, 540, 5065, 2371, 4998, 585, 707, 1858, 666, 581, 1336, 593, 891, 3872, 9872, 7270, 276, 267, 277, 610, 596, 666, 946, 519, 5363, 2228, 1907, 280, 676, 1175, 10024, 707, 23407, 3009, 883, 519, 10748, 889, 517, 5980, 6538, 540, 936, 476, 10384, 6177, 7888, 3345, 10491, 5065, 2371, 1015, 269, 594, 5833, 513, 1592, 540, 476, 14138, 5065, 2371, 602, 616, 1271, 6177, 2200, 267, 5266, 2653, 547, 1332, 543, 2139, 693, 1858, 5065, 5740, 7685, 585, 1250, 1858, 563, 30943, 2371, 4988, 827, 476, 1789, 260, 540, 1250, 2139, 3959, 630, 1691, 5065, 24588, 4054, 267, 476, 1015, 896, 32143, 4054, 267, 476, 1556, 5065, 19211, 267, 476, 1240, 5065, 10786, 17675, 2371, 267, 476, 279, 5065, 30676, 607, 1134, 607, 3762, 543, 9178, 532, 2666, 2339, 1040, 594, 1131, 899, 547, 1491, 5491, 585, 1034, 540, 891, 2371, 855, 519, 5168, 568, 267, 519, 1753, 28265, 619, 2451, 519, 2067, 1858, 3297, 1250, 2777, 609, 519, 4540, 4104, 811, 610, 1447, 16856, 269, 11048, 267, 594, 1705, 2030, 1896, 5065, 10786, 17675, 2371, 971, 607, 5898, 10874, 787, 630, 24445, 545, 541, 11985, 1977, 320, 264, 538, 1250, 21064, 10665, 267, 3542, 13541, 543, 4764, 10651, 543, 5065, 3172, 565, 5362, 630, 300, 1725, 16288, 6264, 604, 3271, 320, 264, 543, 2699, 524, 539, 1513, 630, 21801, 23803, 639, 20424, 10005, 264, 585, 7834, 13819, 269, 594, 849, 1185, 1896, 7320, 7226, 3681, 971, 607, 513, 2879, 698, 630, 4820, 540, 513, 4666, 3529, 1070, 3762, 2451, 607, 22890, 267, 3542, 13541, 4677, 267, 15985, 956, 540, 8371, 267, 4544, 6177, 8075, 267, 6177, 31725, 543, 1100, 7314, 563, 296, 1705, 930, 3441, 538, 519, 2250, 543, 10199, 476, 1015, 4939, 540, 1250, 2139, 3959, 8659, 1018, 789, 5219, 547, 607, 1164, 3463, 12362, 2371, 269, 1879, 594, 1101, 6410, 547, 519, 2136, 2276, 267, 594, 729, 513, 5906, 32529, 3235, 10999, 6340, 269, 20331, 609, 1360, 2370, 1702, 540, 519, 22703, 14498, 855, 513, 2178, 7287, 547, 2030, 10694, 15496, 4054, 543, 30676, 602, 594, 1223, 711, 1332, 538, 4516, 267, 594, 12630, 513, 11344, 4764, 3529, 630, 298, 334, 601, 516, 583, 4997, 3443, 10306, 1092, 264, 279, 267, 4457, 530, 3563, 807, 630, 310, 3563, 807, 5609, 18424, 1070, 513, 13147, 6242, 630, 2704, 321, 714, 807, 15567, 2320, 1170, 514, 1070, 8781, 17382, 630, 292, 340, 7716, 639, 620, 9850, 1070, 8262, 29566, 829, 12685, 30257, 630, 309, 4532, 320, 2101, 264, 543, 2296, 17488, 344, 630, 295, 539, 5028, 927, 1460, 1040, 634, 17659, 5112, 13428, 630, 13695, 6350, 1289, 2044, 3570, 264, 12630, 676, 519, 1753, 28265, 619, 729, 711, 1250, 13337, 269, 634, 5545, 24917, 903, 22976, 630, 299, 4577, 5028, 795, 777, 517, 3821, 1070, 5545, 588, 2830, 24124, 630, 19859, 560, 1122, 1756, 642, 574, 514, 1756, 1070, 31676, 19348, 630, 333, 663, 2088, 264, 543, 13711, 5898, 9440, 630, 24445, 545, 541, 11985, 27524, 582, 5448, 264, 22983, 689, 11992, 563, 30943, 5898, 9440, 630, 24445, 545, 541, 11985, 1977, 320, 264, 17421, 3144, 676, 654, 754, 344, 667, 27927, 593, 4864, 476, 280, 267, 476, 1001, 279, 454, 5475, 519, 16731, 454, 763, 1739, 3018, 267, 594, 4682, 547, 960, 17444, 909, 930, 540, 519, 12362, 2249, 269, 594, 2907, 729, 538, 519, 4356, 540, 17444, 909, 13147, 6242, 19155, 607, 789, 10351, 3990, 1310, 513, 1434, 4764, 282, 5103, 519, 8851, 540, 519, 13147, 6242, 3529, 936, 476, 274, 1296, 3516, 256, 4746, 593, 519, 2973, 909, 1592, 941, 513, 1507, 15429, 540, 5545, 588, 2830, 24124, 267, 838, 4176, 14462, 267, 4457, 2868, 569, 19155, 543, 519, 8273, 2816, 540, 9427, 7381, 562, 663, 2088, 563, 288, 1906, 4374, 1310, 741, 3643, 267, 594, 4607, 513, 10189, 689, 519, 1715, 16593, 10748, 889, 517, 5980, 269, 769, 519, 1439, 267, 1250, 4677, 729, 14468, 513, 7108, 5426, 7320, 7226, 4677, 269, 1358, 3177, 513, 15799, 4882, 793, 602, 594, 8288, 23217, 2282, 938, 11188, 577, 267, 513, 1079, 2985, 5758, 540, 741, 4879, 17609, 1297, 540, 5065, 2030, 2249, 538, 519, 24588, 267, 896, 32143, 267, 10786, 17675, 543, 5065, 30676, 2059, 609, 7840, 585, 7226, 6454, 543, 3177, 513, 1592, 540, 4244, 2371, 547, 3035, 519, 1482, 30120, 3853, 1152, 609, 5065, 2371, 1556, 269, 1358, 849, 3177, 7840, 593, 519, 5207, 3463, 12362, 2249, 630, 1015, 8472, 543, 824, 5732, 12362, 2249, 269, 2549, 594, 2469, 585, 513, 1773, 11294, 636, 13995, 538, 519, 2104, 286, 8786, 267, 855, 602, 3340, 4227, 519, 2139, 3959, 609, 1164, 3463, 12362, 2249, 547, 1447, 982, 476, 1015, 260, 543, 2810, 519, 3795, 676, 25165, 689, 476, 1789, 260, 547, 476, 2004, 260, 256, 594, 786, 798, 519, 960, 538, 5933, 1310, 594, 1118, 513, 1544, 543, 602, 786, 581, 519, 1641, 540, 1250, 1985, 5816, 563, 30706, 2094, 741, 3643, 267, 1614, 1919, 723, 5949, 547, 803, 476, 272, 264, 594, 993, 711, 6005, 12362, 2249, 10876, 543, 476, 273, 264, 594, 993, 811, 2616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17951, 25086, 568, 513, 10368, 5650, 602, 7472, 2592, 540, 519, 1973, 8043, 540, 519, 2295, 269, 898, 666, 581, 5340, 609, 3339, 2473, 17530, 610, 267, 811, 4122, 267, 609, 17223, 29821, 630, 6311, 2587, 25086, 264, 610, 6419, 16982, 9196, 630, 17307, 2587, 25086, 1916, 6311, 2587, 25086, 540, 519, 18337, 16209, 568, 1031, 547, 3713, 18287, 5874, 543, 32560, 610, 824, 3441, 547, 519, 18337, 16209, 602, 3761, 1973, 547, 519, 2295, 269, 898, 568, 849, 1031, 547, 3713, 17244, 540, 519, 2295, 17901, 610, 824, 7293, 3441, 267, 971, 607, 12970, 610, 8297, 696, 3293, 1973, 8043, 563, 274, 3108, 540, 1426, 17712, 29561, 1354, 519, 6514, 267, 782, 6527, 666, 581, 3144, 563, 763, 5580, 1560, 568, 20114, 267, 10566, 294, 22809, 616, 4294, 543, 513, 15672, 967, 16946, 28994, 3121, 630, 309, 523, 4148, 517, 264, 568, 4294, 563, 2252, 519, 2295, 2557, 568, 1932, 1164, 267, 513, 12498, 3625, 518, 568, 4294, 269, 25037, 5420, 568, 13950, 1282, 519, 6514, 563, 4322, 18362, 616, 3177, 607, 4357, 2533, 269, 901, 1797, 602, 789, 786, 711, 581, 536, 2683, 2047, 547, 519, 1072, 6142, 2754, 267, 855, 786, 581, 536, 2683, 2047, 547, 596, 538, 519, 1106, 540, 513, 13927, 1045, 4069, 269, 0, 4942, 3342, 4451, 2986, 15215, 1656, 4706, 19043, 769, 2201, 513, 2834, 4493, 5020, 454, 288, 2077, 13444, 2219, 268, 12671, 1480, 2470, 267, 2623, 543, 30254, 547, 581, 8449, 4105, 4229, 547, 581, 16916, 538, 2069, 267, 519, 10700, 9837, 540, 799, 2115, 547, 581, 547, 3132, 1434, 543, 4075, 6681, 7264, 269, 16480, 267, 930, 1568, 593, 713, 2511, 616, 1851, 519, 27825, 540, 3872, 2219, 892, 1765, 320, 811, 21688, 7228, 748, 6003, 982, 6138, 540, 2069, 31865, 2665, 538, 1448, 666, 581, 519, 3594, 267, 30732, 7410, 543, 5022, 540, 7338, 28199, 630, 3650, 24490, 540, 681, 1872, 2421, 1153, 1070, 3627, 24380, 2917, 630, 1492, 13653, 540, 6396, 1143, 1070, 808, 13034, 269, 630, 25205, 1400, 264, 1715, 2006, 267, 570, 13034, 269, 670, 5060, 2917, 267, 543, 519, 12591, 593, 11636, 2069, 676, 589, 2529, 269, 3026, 650, 630, 1993, 14400, 24824, 12200, 1916, 1432, 568, 24858, 827, 2348, 513, 6138, 568, 2348, 606, 23070, 945, 7948, 1406, 1416, 1447, 827, 707, 6138, 543, 1100, 1489, 269, 8791, 1079, 568, 13991, 547, 1808, 17024, 540, 519, 3105, 267, 543, 811, 2596, 3795, 540, 519, 3140, 2250, 540, 6138, 540, 2069, 269, 1403, 713, 536, 604, 584, 322, 566, 6799, 513, 1966, 585, 18113, 30431, 908, 519, 2361, 540, 6138, 267, 519, 7965, 1020, 4557, 19507, 610, 811, 609, 2463, 547, 6138, 540, 2069, 269, 901, 568, 513, 4295, 9074, 585, 2852, 1053, 945, 1810, 1406, 723, 606, 15938, 4110, 538, 6138, 269, 634, 1292, 26519, 19721, 24866, 540, 2069, 616, 1898, 1143, 543, 21064, 1143, 269, 7183, 540, 596, 3580, 5884, 540, 27781, 267, 2705, 950, 596, 2322, 707, 5683, 7881, 3297, 596, 267, 602, 786, 2318, 6460, 596, 883, 513, 2713, 268, 340, 1088, 612, 14428, 903, 1664, 609, 1100, 4606, 267, 1100, 8417, 543, 1100, 2069, 538, 1022, 2463, 269, 901, 6138, 11104, 3585, 5222, 519, 1259, 538, 799, 1282, 799, 594, 8207, 547, 1374, 543, 1020, 513, 6437, 563, 4942, 3342, 4451, 568, 711, 827, 4974, 15806, 610, 519, 3140, 2250, 540, 6138, 267, 4352, 891, 616, 519, 4247, 540, 513, 6138, 1292, 543, 616, 606, 1898, 12146, 538, 513, 1434, 2069, 269, 15531, 856, 513, 1589, 518, 267, 681, 5255, 320, 6811, 267, 530, 2632, 2995, 596, 513, 2603, 827, 1451, 875, 547, 581, 513, 1589, 518, 267, 602, 568, 267, 4388, 593, 875, 547, 15475, 9158, 1227, 563, 303, 2464, 288, 3792, 1206, 606, 8537, 4640, 547, 10952, 960, 538, 2069, 267, 543, 10950, 7418, 547, 519, 1272, 540, 519, 5980, 689, 513, 2647, 2039, 540, 11207, 1114, 7811, 5389, 543, 5380, 269, 898, 779, 1434, 547, 917, 602, 649, 20866, 723, 513, 1486, 26167, 1935, 547, 979, 547, 3986, 519, 2298, 540, 938, 3506, 585, 782, 945, 4502, 2069, 543, 529, 8348, 547, 798, 1945, 547, 4217, 8627, 2336, 2005, 666, 581, 2352, 547, 2328, 513, 6138, 540, 4051, 532, 25195, 607, 513, 1267, 540, 596, 1223, 1459, 1880, 3877, 267, 2705, 596, 849, 991, 547, 669, 11501, 689, 3100, 532, 1932, 1305, 538, 707, 2081, 950, 7311, 585, 513, 1007, 2816, 267, 2394, 596, 2461, 1373, 26906, 1813, 547, 707, 21239, 585, 891, 1808, 2994, 11053, 4711, 281, 4493, 267, 6138, 267, 2834, 267, 4984, 267, 4644, 0, 1607, 1357, 14373, 3177, 1344, 827, 519, 7990, 2837, 543, 1072, 1764, 540, 27178, 1759, 593, 2487, 1382, 269, 589, 2689, 540, 19706, 1543, 543, 5283, 517, 8084, 12743, 585, 1585, 7990, 5210, 729, 849, 5941, 269, 589, 1297, 540, 22875, 602, 1378, 543, 7500, 8265, 8654, 1949, 723, 6074, 1648, 18026, 10896, 2029, 547, 2569, 1648, 4616, 543, 2149, 519, 1604, 269, 27178, 723, 513, 3476, 1272, 12732, 543, 4824, 2168, 7347, 1145, 936, 1651, 663, 27853, 1769, 2959, 269, 1717, 267, 972, 723, 1044, 4145, 543, 2152, 827, 519, 1072, 1764, 540, 10896, 8654, 1813, 547, 922, 7990, 2837, 563, 23192, 4843, 593, 4873, 476, 736, 267, 476, 1001, 278, 543, 5437, 476, 280, 267, 476, 1001, 278, 563, 299, 18017, 9858, 267, 8030, 267, 5411, 543, 12427, 540, 519, 4155, 3118, 8654, 1949, 454, 10673, 32511, 6756, 267, 31786, 5071, 518, 543, 5518, 2073, 667, 13270, 543, 4889, 919, 13456, 563, 10673, 814, 476, 4391, 1296, 540, 1995, 538, 5122, 543, 6808, 4702, 609, 513, 1445, 593, 4155, 3118, 8654, 269, 901, 2872, 6205, 568, 3238, 538, 3875, 8654, 26639, 543, 3906, 799, 3337, 1082, 540, 519, 1699, 4155, 3118, 8654, 4441, 269, 5213, 729, 519, 1291, 2278, 540, 519, 570, 3722, 6651, 585, 519, 5071, 540, 10003, 3118, 31786, 543, 4867, 2535, 919, 538, 519, 7041, 540, 10311, 585, 519, 594, 2464, 2793, 10003, 3118, 31786, 11621, 563, 26469, 700, 583, 651, 341, 747, 267, 14502, 10615, 270, 17637, 518, 267, 654, 9915, 267, 11785, 267, 772, 2529, 563, 26469, 814, 936, 476, 1789, 1296, 540, 1995, 538, 1374, 543, 4070, 540, 5989, 1949, 1519, 4155, 1811, 267, 25310, 267, 31355, 6703, 267, 543, 18302, 1949, 269, 1261, 568, 8362, 3238, 538, 519, 1646, 540, 3084, 543, 3486, 4441, 585, 9205, 8654, 269, 6754, 729, 513, 4759, 540, 519, 772, 2529, 269, 15518, 566, 538, 519, 674, 295, 23354, 12458, 3008, 12487, 302, 645, 10561, 31786, 5303, 16510, 5358, 1063, 9205, 8654, 4966, 543, 3486, 3906, 538, 2342, 269, 1261, 814, 15548, 538, 1382, 609, 519, 674, 295, 23354, 14236, 3584, 7282, 8654, 543, 3106, 267, 13261, 8654, 6388, 267, 14839, 2553, 267, 2825, 543, 1072, 5222, 540, 8654, 267, 543, 2796, 6213, 3435, 269, 6754, 568, 1071, 27236, 540, 519, 570, 3722, 6651, 585, 519, 5071, 540, 10003, 3118, 31786, 543, 11381, 540, 519, 594, 2464, 10003, 3118, 9208, 6657, 9730, 563, 763, 18815, 5948, 540, 4516, 630, 307, 3722, 264, 2306, 1100, 11269, 610, 15549, 625, 827, 519, 6111, 610, 29839, 540, 1022, 1344, 4843, 538, 519, 1357, 21577, 543, 1644, 2326, 630, 7945, 607, 1688, 8083, 267, 6881, 6054, 543, 19827, 5148, 782, 971, 1543, 568, 3177, 547, 570, 3722, 781, 2818, 543, 1357, 14373, 7373, 7847, 593, 606, 2048, 553, 568, 685, 4493, 269, 570, 3722, 568, 711, 25964, 585, 1022, 1344, 3177, 676, 16929, 543, 1459, 619, 540, 891, 1357, 21577, 269, 570, 3722, 1934, 2421, 771, 8010, 338, 782, 15668, 585, 1022, 6811, 267, 9271, 267, 610, 14796, 538, 4276, 609, 946, 610, 3498, 540, 891, 2326, 269, 570, 3722, 1281, 711, 10018, 267, 15549, 267, 610, 23596, 519, 2472, 610, 2533, 540, 1022, 6109, 267, 3919, 267, 610, 1268, 269, 634, 1344, 8659, 538, 891, 1357, 21577, 543, 1644, 2326, 568, 711, 5497, 547, 13822, 3656, 5796, 610, 519, 17021, 540, 3656, 267, 17874, 267, 610, 824, 3318, 2533, 540, 1022, 2186, 269, 20305, 540, 891, 2326, 1058, 711, 538, 1022, 6073, 7048, 2390, 610, 1526, 4902, 519, 1344, 610, 4199, 2326, 538, 891, 2326, 607, 3656, 267, 610, 824, 3318, 5796, 543, 1058, 711, 957, 610, 3111, 547, 957, 1759, 2390, 519, 1344, 538, 891, 2326, 1510, 5275, 519, 2533, 540, 513, 19579, 3656, 610, 824, 3318, 269, 0, 763, 524, 10604, 476, 866, 338, 1198, 593, 2021, 781, 6009, 814, 5734, 1169, 3296, 540, 519, 2551, 2182, 269, 634, 3339, 8647, 540, 2486, 729, 4547, 547, 606, 23589, 1439, 543, 1007, 3800, 1185, 547, 581, 3144, 585, 15268, 547, 519, 1007, 4641, 269, 634, 3515, 1063, 2792, 543, 10072, 2968, 20747, 8175, 609, 1142, 1554, 269, 5221, 1256, 1498, 649, 7307, 547, 1265, 6639, 5973, 757, 540, 5870, 1142, 824, 267, 649, 11214, 5433, 1256, 811, 4805, 563, 2171, 3112, 5635, 519, 2470, 540, 713, 16236, 269, 1717, 267, 1978, 2950, 941, 2322, 998, 2523, 2352, 6381, 1282, 5046, 268, 866, 269, 901, 2882, 6375, 665, 20234, 668, 2213, 2043, 267, 12790, 5641, 525, 267, 3885, 2630, 519, 6710, 1899, 267, 1875, 2275, 529, 2173, 1446, 25469, 267, 543, 824, 31345, 6810, 540, 2486, 563, 16449, 560, 891, 267, 2021, 1185, 547, 7703, 519, 20015, 660, 540, 519, 575, 25311, 1764, 540, 519, 6855, 269, 1358, 1185, 547, 6330, 513, 4957, 3318, 1272, 267, 1247, 849, 7231, 609, 3063, 7622, 26050, 543, 824, 11928, 1516, 2238, 269, 4256, 10688, 540, 3001, 998, 9018, 30013, 3889, 729, 1256, 811, 3908, 269, 4107, 11932, 267, 13044, 268, 866, 19526, 856, 2021, 689, 6009, 543, 519, 2360, 540, 713, 786, 581, 5433, 1256, 538, 519, 2022, 1790, 663, 2438, 4346, 563, 17357, 517, 8785, 685, 8177, 593, 6468, 779, 22868, 454, 10214, 1354, 519, 6855, 267, 2021, 1705, 711, 2972, 519, 1482, 7694, 3928, 607, 2367, 269, 1703, 941, 1454, 7864, 2021, 538, 519, 13781, 607, 3379, 547, 741, 5256, 13413, 269, 1280, 1383, 267, 538, 3127, 267, 1152, 476, 736, 260, 540, 519, 13781, 729, 1500, 909, 540, 2021, 267, 538, 476, 1001, 280, 269, 9578, 267, 1256, 1369, 891, 1970, 2338, 267, 972, 729, 513, 4008, 2628, 7934, 267, 543, 2021, 941, 711, 18481, 9104, 730, 585, 741, 4074, 563, 4322, 2338, 3576, 513, 17167, 1813, 547, 519, 6855, 269, 2311, 519, 4098, 540, 476, 1708, 271, 267, 1312, 2367, 543, 2021, 941, 32014, 538, 1390, 2338, 269, 1809, 513, 1804, 1297, 540, 2367, 941, 556, 15041, 23903, 676, 519, 1439, 540, 519, 1032, 267, 1247, 811, 2021, 941, 1869, 32014, 269, 24322, 899, 24756, 267, 1426, 3028, 267, 9913, 267, 6469, 960, 267, 543, 10685, 616, 1141, 513, 2603, 540, 519, 4775, 13781, 568, 5059, 269, 1452, 6080, 3576, 1034, 540, 519, 3441, 1813, 547, 519, 4657, 2175, 543, 2021, 779, 7694, 729, 2417, 19847, 563, 9827, 267, 2021, 945, 2196, 1507, 4213, 610, 1346, 945, 616, 1582, 15041, 23903, 1336, 621, 1256, 811, 2352, 547, 2226, 18083, 269, 2201, 1283, 540, 782, 713, 267, 519, 2907, 4540, 4008, 2628, 7934, 786, 2693, 11097, 523, 1256, 811, 2022, 1790, 663, 2438, 269, 4935, 267, 950, 13044, 268, 866, 19526, 856, 2021, 689, 6009, 267, 621, 1500, 621, 811, 2352, 585, 873, 547, 581, 556, 15041, 23903, 543, 16056, 741, 3318, 2729, 563, 25911, 3496, 23582, 543, 12333, 454, 17357, 517, 8785, 685, 1764, 593, 2021, 568, 711, 1175, 3908, 547, 741, 3318, 2729, 267, 855, 849, 741, 2123, 5624, 269, 769, 3885, 267, 1256, 952, 2367, 543, 2021, 1522, 1312, 960, 1922, 668, 25571, 267, 519, 6469, 26050, 616, 811, 2693, 547, 581, 519, 5539, 540, 2021, 269, 6468, 616, 2141, 4397, 547, 1617, 527, 2532, 267, 5104, 31227, 1312, 5604, 543, 7622, 269, 901, 2306, 621, 1256, 811, 2352, 585, 2021, 547, 1445, 593, 741, 3318, 13800, 563, 12234, 267, 519, 6855, 2451, 1082, 1004, 7210, 543, 7925, 269, 769, 513, 1753, 267, 519, 11928, 1516, 5107, 616, 849, 13026, 676, 4775, 2818, 269, 1358, 1590, 1413, 1310, 741, 838, 11817, 267, 741, 1453, 267, 741, 538, 2000, 9155, 267, 543, 824, 14077, 269, 1403, 1022, 540, 891, 1004, 723, 26438, 13044, 268, 866, 267, 1287, 519, 11928, 1516, 2021, 616, 2322, 693, 811, 540, 513, 1981, 540, 24931, 621, 269, 1717, 267, 2021, 1810, 1406, 1256, 1205, 17019, 585, 891, 3646, 267, 1577, 4805, 581, 9104, 730, 563, 10214, 689, 513, 3318, 7828, 267, 519, 5354, 540, 3782, 4600, 5001, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 4289, 11713, 258, 14654, 921, 4590, 258, 18743, 346, 8679, 258, 9598, 454, 2745, 5560, 1112, 31156, 31673, 318, 836, 815, 13634, 825, 1948, 257, 9383, 1075, 345, 9899, 257, 23702, 8113, 4840, 825, 834, 9383, 1075, 345, 9899, 257, 4486, 20350, 825, 834, 335, 625, 9899, 834, 27594, 20350, 825, 834, 335, 625, 9899, 834, 27594, 4840, 10926, 2745, 9638, 565, 318, 836, 994, 2745, 9638, 565, 318, 836, 14277, 335, 625, 19312, 9239, 604, 834, 27594, 257, 538, 1135, 318, 836, 912, 825, 1820, 9638, 565, 318, 836, 14277, 335, 625, 19312, 2020, 2745, 9638, 565, 318, 836, 10947, 2891, 27594, 257, 4297, 1948, 14247, 385, 376, 7942, 737, 331, 1075, 5633, 530, 3500, 23364, 340, 562, 26759, 12103, 547, 546, 739, 1690, 5519, 25449, 8113, 7183, 692, 2745, 9638, 565, 318, 836, 10947, 2891, 27594, 2580, 834, 289, 21531, 512, 13403, 1120, 334, 814, 5055, 257, 4297, 1948, 14247, 385, 376, 7942, 737, 331, 1075, 5633, 530, 3500, 23364, 340, 562, 26759, 12103, 547, 546, 739, 1690, 5519, 25449, 8113, 834, 289, 21531, 512, 13403, 1120, 334, 814, 5055, 4840, 2745, 9638, 565, 318, 836, 10947, 2891, 335, 625, 2580, 834, 289, 21531, 512, 13403, 1120, 334, 814, 5055, 8442, 2020, 258, 1631, 344, 737, 331, 1075, 345, 530, 3500, 23364, 340, 454, 31673, 318, 836, 14277, 330, 582, 19312, 6889, 13906, 4840, 2745, 9638, 565, 318, 836, 2020, 258, 737, 331, 1075, 345, 655, 4779, 2763, 676, 322, 703, 454, 31673, 318, 836, 314, 272, 316, 6889, 329, 539, 523, 4840, 2745, 9638, 565, 318, 836, 2020, 258, 8913, 680, 320, 751, 345, 4779, 2763, 676, 322, 737, 331, 1075, 345, 655, 7531, 2745, 9638, 565, 318, 836, 269, 12399, 28829, 1948, 737, 331, 1075, 2763, 630, 4289, 320, 737, 331, 1075, 5414, 994, 2745, 9638, 565, 318, 836, 269, 11161, 28829, 1948, 25449, 657, 857, 630, 4289, 320, 25449, 657, 857, 994, 2745, 9638, 565, 318, 836, 29096, 28829, 1948, 737, 331, 1075, 345, 16062, 691, 657, 857, 630, 4289, 320, 8913, 680, 328, 2020, 258, 538, 928, 1000, 528, 2763, 523, 773, 3500, 333, 11986, 454, 2745, 5560, 1112, 17347, 992, 320, 6889, 322, 578, 2580, 2531, 6889, 5264, 27363, 258, 3500, 23364, 1000, 528, 345, 3415, 1990, 1592, 344, 8913, 680, 328, 454, 2745, 5560, 1112, 8443, 2891, 330, 992, 320, 14824, 322, 578, 19823, 9497, 3256, 2580, 834, 5264, 8442, 8079, 2020, 258, 639, 340, 9774, 773, 18410, 3500, 333, 11986, 454, 2745, 9638, 565, 318, 836, 21014, 2891, 335, 625, 27363, 2745, 9638, 565, 318, 836, 2020, 2745, 9638, 565, 318, 836, 21014, 14403, 15405, 2745, 9638, 565, 318, 836, 2020, 258, 1305, 15079, 737, 1961, 330, 322, 10937, 796, 1731, 531, 5500, 577, 562, 773, 1575, 528, 345, 384, 483, 323, 330, 578, 534, 8500, 577, 25449, 334, 23410, 857, 454, 345, 321, 1640, 815, 2715, 272, 267, 273, 267, 274, 267, 275, 348, 1948, 512, 13403, 795, 752, 2421, 3500, 20692, 1731, 267, 513, 548, 1990, 5979, 345, 3415, 1990, 7663, 344, 577, 25449, 657, 857, 454, 2745, 18750, 321, 1640, 267, 1826, 18750, 321, 1640, 4917, 2745, 5560, 597, 18750, 321, 1640, 11723, 345, 321, 1640, 273, 284, 2715, 272, 2437, 320, 2580, 476, 273, 267, 834, 321, 2580, 476, 274, 267, 834, 345, 257, 8679, 2745, 18750, 321, 1640, 273, 2020, 345, 321, 1640, 273, 14491, 263, 280, 994, 2745, 18750, 321, 1640, 273, 2020, 4289, 320, 284, 1496, 272, 267, 273, 267, 273, 267, 273, 267, 273, 267, 273, 267, 273, 267, 274, 267, 274, 267, 274, 267, 274, 267, 274, 267, 2639, 258, 1093, 1990, 337, 345, 583, 578, 8643, 340, 1592, 344, 14255, 1305, 544, 18081, 1990, 321, 1640, 796, 1731, 531, 5500, 577, 25449, 657, 857, 454, 2745, 263, 3553, 17338, 320, 11723, 258, 1766, 659, 16660, 14255, 1305, 778, 10540, 984, 928, 798, 1766, 659, 10202, 14255, 1990, 321, 1640, 778, 692, 258, 929, 5414, 2625, 773, 546, 617, 16492, 1631, 1122, 334, 1605, 27476, 5500, 340, 512, 752, 773, 2998, 795, 752, 5104, 1990, 2421, 331, 547, 562, 773, 5127, 345, 773, 1025, 9254, 267, 513, 548, 20146, 562, 773, 546, 18649, 18092, 1660, 345, 513, 676, 339, 24089, 796, 1731, 531, 928, 454, 288, 815, 2715, 272, 267, 273, 267, 274, 267, 275, 8679, 289, 815, 2715, 274, 267, 275, 267, 276, 267, 277, 8679, 258, 2040, 320, 1990, 321, 1640, 578, 454, 2745, 2891, 338, 6373, 1990, 321, 1640, 578, 2580, 589, 21270, 12467, 2745, 2891, 338, 6373, 1990, 321, 1640, 578, 2580, 589, 26509, 542, 16360, 264, 25589, 258, 887, 345, 333, 3821, 1990, 321, 1640, 578, 454, 2745, 2891, 338, 6373, 1990, 321, 1640, 578, 2580, 589, 5174, 12467, 2745, 2891, 338, 6373, 1990, 321, 1640, 578, 2580, 589, 6155, 29924, 16360, 264, 25589, 258, 524, 345, 384, 503, 23410, 322, 530, 4944, 565, 3534, 454, 2745, 2891, 338, 6373, 1990, 321, 1640, 578, 2580, 589, 261, 289, 12467, 2745, 2891, 338, 6373, 1990, 321, 1640, 578, 2580, 589, 269, 5793, 7611, 16360, 264, 25589, 258, 887, 345, 333, 3821, 454, 2745, 2891, 338, 6373, 1990, 321, 1640, 578, 2580, 589, 5174, 12467, 2745, 2891, 338, 6373, 1990, 321, 1640, 578, 2580, 589, 6155, 29924, 16360, 264, 25589, 258, 887, 345, 333, 3821, 1623, 4479, 322, 345, 3534, 910, 2040, 320, 1990, 321, 1640, 6759, 342, 14263, 524, 8240, 322, 530, 4944, 565, 3534, 454, 2745, 2891, 338, 6373, 1990, 321, 1640, 578, 2580, 589, 9745, 645, 12467, 2745, 2891, 338, 6373, 1990, 321, 1640, 578, 2580, 589, 269, 22131, 13240, 5091, 29924, 16360, 264, 25589, 258, 524, 5414, 5430, 795, 652, 10540, 345, 6798, 648, 332, 538, 928, 2998, 1990, 321, 1640, 340, 454, 290, 28121, 272, 267, 273, 8679, 2745, 2891, 290, 5414, 795, 652, 10540, 345, 6798, 648, 332, 24333, 595, 269, 1170, 889, 3553, 10490, 264, 12467, 0, 320, 284, 18743, 31476, 343, 25507, 9272, 3488, 11767, 519, 1871, 540, 1535, 10807, 10142, 1721, 1775, 538, 2039, 263, 272, 21726, 266, 272, 8029, 825, 513, 5157, 24557, 343, 1262, 273, 1477, 2745, 5416, 3418, 0, 18257, 1477, 310, 4338, 547, 3398, 476, 1015, 2338, 543, 1711, 24042, 540, 2942, 2338, 1477, 18257, 1477, 258, 547, 4558, 1152, 2942, 2338, 1477, 339, 284, 14052, 2745, 3488, 11767, 476, 1015, 2338, 20298, 1721, 1775, 538, 2039, 263, 1015, 8029, 825, 562, 25507, 9272, 3890, 3418, 825, 952, 3799, 283, 271, 8029, 1038, 512, 284, 339, 23444, 333, 267, 10142, 2745, 6025, 10142, 258, 3036, 5897, 339, 284, 14052, 2745, 3488, 11767, 476, 1015, 2338, 20298, 1721, 1775, 538, 2039, 263, 1015, 8029, 825, 512, 284, 339, 23444, 842, 9272, 3890, 1070, 10142, 1721, 1775, 538, 512, 6769, 825, 952, 9217, 283, 271, 8029, 1038, 1820, 9217, 3418, 0, 18257, 1477, 2018, 8073, 8675, 547, 4558, 13483, 320, 675, 540, 1101, 476, 1015, 2067, 2338, 5897, 258, 7538, 1505, 5897, 323, 284, 24001, 5897, 1721, 1775, 538, 2039, 263, 272, 267, 1556, 8029, 825, 546, 5157, 24557, 328, 1262, 273, 5897, 2745, 5560, 3418, 18257, 5897, 258, 1260, 11772, 542, 5897, 2745, 20719, 328, 281, 328, 1262, 273, 585, 1775, 538, 2039, 263, 272, 267, 1556, 14587, 3418, 0, 1540, 611, 815, 703, 9272, 3488, 6011, 1082, 1053, 10807, 3418, 331, 815, 1496, 15947, 8999, 815, 476, 271, 1477, 1721, 1775, 538, 2039, 263, 1540, 611, 8029, 825, 513, 815, 10581, 9272, 2891, 10938, 707, 6060, 8442, 3418, 825, 561, 6910, 5416, 3418, 825, 2040, 6834, 513, 5897, 320, 815, 3193, 10857, 3418, 321, 815, 1295, 10857, 3418, 822, 326, 815, 10581, 4433, 636, 1315, 22788, 611, 10142, 2745, 3488, 10946, 6060, 568, 3299, 513, 3418, 2745, 2891, 548, 770, 6060, 568, 2580, 536, 3418, 2745, 2891, 822, 326, 568, 14307, 1285, 326, 264, 0, 1029, 10461, 1029, 815, 1412, 2017, 339, 1143, 764, 867, 28847, 825, 1948, 24425, 23591, 24800, 19841, 341, 9226, 454, 12163, 300, 1389, 513, 3046, 3113, 856, 540, 16865, 8638, 540, 6006, 8913, 1255, 454, 12163, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 5599, 454, 5814, 795, 5459, 454, 5814, 30220, 692, 258, 717, 1115, 519, 2838, 8638, 540, 8913, 1255, 689, 5599, 18258, 692, 258, 6006, 12173, 815, 3403, 3488, 8923, 4283, 6006, 2012, 281, 30386, 258, 952, 6006, 12173, 11203, 1193, 912, 258, 672, 6318, 7392, 13286, 692, 18450, 12173, 815, 1412, 32271, 8104, 28847, 12895, 318, 3000, 2195, 815, 5599, 269, 1805, 1442, 300, 10719, 3488, 32271, 8104, 3299, 1412, 11907, 27798, 302, 8104, 12459, 5459, 262, 1040, 338, 1460, 10734, 652, 318, 3000, 2195, 4590, 342, 528, 560, 318, 3000, 2195, 815, 5599, 269, 1805, 1442, 300, 10719, 3488, 32271, 8104, 3299, 1412, 11907, 27798, 302, 8104, 12459, 5459, 262, 1040, 338, 1460, 16062, 528, 560, 318, 3000, 2195, 10797, 258, 2368, 8900, 8638, 585, 4859, 692, 12895, 14067, 1442, 7272, 4631, 815, 11713, 12895, 14067, 1442, 5091, 919, 815, 11713, 342, 528, 560, 14067, 1442, 7272, 4631, 815, 11713, 342, 528, 560, 14067, 1442, 5091, 919, 815, 29129, 692, 3698, 4990, 14067, 1442, 318, 29798, 6357, 652, 318, 3000, 2195, 8217, 267, 10782, 318, 3000, 2195, 8217, 2187, 825, 8173, 825, 570, 1389, 519, 1079, 2164, 540, 14351, 300, 10719, 781, 8638, 543, 1418, 3278, 519, 9115, 883, 4632, 585, 24275, 454, 825, 2433, 12407, 1655, 318, 3000, 2195, 8217, 912, 825, 2433, 12407, 10782, 318, 3000, 2195, 8217, 912, 825, 2433, 8873, 912, 825, 8173, 825, 585, 3611, 636, 538, 1655, 318, 3000, 2195, 912, 1038, 1655, 14067, 1442, 5091, 919, 6910, 5560, 23628, 314, 271, 7481, 1038, 1655, 14067, 1442, 7272, 4631, 6910, 5560, 23628, 314, 272, 20285, 825, 585, 3611, 636, 538, 10782, 318, 3000, 2195, 912, 1038, 10782, 14067, 1442, 5091, 919, 6910, 5560, 23628, 314, 271, 7481, 1038, 10782, 14067, 1442, 7272, 4631, 6910, 5560, 23628, 314, 272, 316, 9239, 258, 681, 12584, 519, 3252, 865, 649, 666, 1118, 513, 3113, 454, 338, 677, 14067, 1442, 318, 29798, 6357, 652, 318, 3000, 2195, 267, 10782, 318, 3000, 2195, 2020, 301, 815, 476, 277, 454, 785, 815, 5286, 30784, 1052, 18217, 264, 476, 1948, 519, 1535, 6753, 585, 519, 2516, 454, 12296, 815, 476, 271, 269, 276, 11434, 1948, 5036, 519, 8700, 540, 519, 13063, 454, 258, 5036, 1079, 1016, 7120, 3615, 547, 2671, 513, 586, 7852, 454, 14808, 267, 630, 1314, 272, 267, 4949, 273, 264, 815, 12301, 16553, 30831, 263, 272, 267, 476, 273, 267, 2671, 344, 18989, 2020, 258, 4408, 519, 1016, 30831, 543, 5036, 741, 4164, 564, 637, 454, 335, 4631, 272, 815, 4949, 272, 269, 8663, 263, 785, 267, 1655, 14067, 1442, 7272, 4631, 267, 8700, 267, 2681, 8782, 258, 4200, 6717, 876, 3299, 5447, 8782, 22487, 5073, 335, 4631, 273, 815, 4949, 273, 269, 8663, 263, 785, 267, 10782, 14067, 1442, 7272, 4631, 267, 8700, 267, 2681, 8782, 258, 13697, 24879, 277, 3299, 5447, 8782, 22487, 17210, 258, 5036, 519, 10643, 585, 1142, 1016, 30831, 454, 1314, 272, 15630, 21234, 263, 18450, 12173, 1341, 1412, 315, 333, 1655, 3328, 5777, 5073, 1314, 273, 15630, 21234, 263, 18450, 12173, 1341, 1412, 315, 333, 10782, 3328, 5777, 17210, 258, 5036, 24217, 2059, 519, 1535, 14289, 454, 1314, 272, 15630, 318, 868, 6506, 263, 785, 994, 1314, 273, 15630, 318, 868, 6506, 263, 785, 2020, 258, 2306, 519, 3330, 10665, 15865, 454, 1314, 273, 4732, 335, 1149, 14277, 3847, 257, 4940, 3553, 318, 6665, 1043, 263, 16178, 994, 1314, 272, 4732, 335, 1149, 14277, 2431, 257, 4940, 3553, 318, 6665, 1043, 263, 16178, 2020, 258, 5036, 519, 1535, 14289, 10297, 1210, 519, 4632, 6383, 1657, 543, 2306, 873, 7299, 454, 1314, 272, 15630, 318, 868, 1157, 18350, 1564, 9230, 12895, 14067, 1442, 5091, 919, 1070, 10047, 8782, 3445, 5073, 1314, 273, 15630, 318, 868, 1157, 18350, 1564, 9230, 342, 528, 560, 14067, 1442, 5091, 919, 1070, 10047, 8782, 3445, 17210, 258, 12662, 513, 12297, 1540, 1899, 7470, 936, 519, 1016, 30831, 547, 2087, 15287, 454, 1314, 272, 13885, 9471, 26942, 6357, 18989, 267, 13274, 5598, 6889, 734, 5602, 1314, 273, 13885, 9471, 26942, 6357, 18989, 267, 13274, 5598, 6889, 734, 15419, 258, 5036, 519, 586, 268, 7852, 6003, 1862, 609, 11029, 19000, 2336, 1314, 272, 15630, 318, 29786, 16868, 262, 7445, 2330, 20430, 17210, 258, 9395, 839, 543, 20383, 11249, 454, 10823, 6745, 697, 9078, 599, 719, 10797, 258, 2306 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12597, 4628, 6905, 269, 634, 1850, 568, 1287, 6659, 2394, 519, 3461, 5360, 1622, 540, 1928, 2147, 547, 602, 540, 799, 646, 2356, 5360, 1622, 563, 2252, 519, 3461, 1152, 7959, 8082, 538, 519, 8423, 11415, 610, 28419, 630, 18034, 952, 519, 14815, 568, 2147, 593, 1312, 5011, 1070, 1287, 519, 20098, 11726, 326, 826, 1129, 568, 1767, 547, 581, 2942, 563, 2414, 2322, 811, 8082, 593, 519, 1414, 1738, 8229, 267, 519, 8229, 5072, 267, 543, 519, 546, 3120, 544, 831, 267, 649, 666, 1039, 3606, 3334, 971, 607, 912, 268, 8405, 4827, 542, 454, 268, 667, 832, 604, 2716, 542, 540, 519, 21721, 454, 268, 22362, 540, 519, 10689, 5060, 630, 15927, 23179, 994, 268, 21222, 7267, 12048, 740, 9134, 454, 288, 2318, 20098, 11726, 326, 826, 1129, 666, 8915, 607, 5205, 912, 268, 3115, 22004, 14715, 1928, 538, 519, 1850, 543, 2539, 1394, 1063, 476, 1789, 543, 476, 3583, 5232, 540, 12048, 4827, 542, 5267, 2009, 1200, 333, 7007, 1167, 561, 29856, 693, 519, 1377, 540, 519, 700, 275, 543, 590, 272, 8229, 5072, 563, 268, 10266, 1369, 476, 1789, 5232, 540, 12048, 4827, 542, 949, 581, 513, 1129, 540, 513, 838, 1180, 2643, 565, 626, 4185, 8650, 267, 513, 12765, 1442, 26252, 267, 513, 1167, 16312, 4288, 267, 513, 10510, 538, 519, 12765, 1442, 267, 610, 1256, 513, 3461, 945, 1138, 12885, 606, 4576, 563, 268, 10266, 936, 476, 3583, 5232, 540, 12048, 4827, 542, 949, 5815, 8833, 538, 519, 8423, 1598, 902, 267, 1350, 1393, 639, 12366, 639, 267, 610, 12048, 23555, 267, 610, 12048, 610, 4745, 21454, 5485, 549, 8270, 659, 269, 630, 17463, 20098, 11726, 326, 826, 1129, 994, 628, 1678, 596, 585, 707, 2097, 3724, 454, 1692, 666, 649, 2087, 519, 2376, 286, 0, 763, 3014, 1646, 2872, 568, 513, 9159, 7706, 1141, 5876, 267, 2029, 267, 543, 9423, 27721, 547, 1711, 15138, 5691, 2833, 269, 6787, 596, 2461, 513, 19023, 13708, 518, 267, 606, 14971, 17354, 267, 610, 3274, 8049, 827, 519, 6418, 25029, 540, 519, 2872, 267, 11543, 4030, 883, 3014, 1646, 666, 2709, 513, 4514, 7071, 585, 519, 4739, 3297, 707, 5172, 3756, 269, 769, 713, 2376, 267, 649, 7832, 593, 513, 3460, 547, 1377, 909, 707, 1702, 827, 519, 3014, 1646, 2872, 267, 26500, 1883, 3344, 602, 3337, 713, 6422, 543, 2479, 21608, 2361, 563, 272, 269, 634, 3203, 540, 10417, 783, 1436, 281, 3245, 22830, 547, 18712, 454, 9336, 3014, 5956, 609, 606, 2856, 12544, 8141, 540, 5876, 602, 27372, 883, 513, 4628, 1922, 1194, 3022, 1523, 269, 634, 1184, 540, 12497, 1436, 3322, 10747, 519, 3014, 779, 9135, 267, 11707, 267, 1650, 267, 543, 3077, 5304, 269, 10794, 9367, 23939, 16540, 267, 1382, 267, 543, 621, 4733, 547, 2981, 7493, 2093, 883, 6405, 3014, 2035, 602, 2482, 519, 5748, 585, 1646, 563, 273, 269, 4886, 1912, 1162, 281, 20780, 532, 519, 2622, 547, 5020, 454, 29228, 1646, 13408, 1896, 11775, 267, 1142, 7700, 547, 519, 3803, 1587, 912, 7093, 1790, 3174, 281, 901, 5123, 3322, 2143, 4058, 267, 1519, 2870, 1374, 6054, 267, 1650, 24692, 267, 543, 9591, 519, 3014, 779, 3308, 2511, 563, 303, 3174, 281, 3763, 619, 1628, 519, 3014, 779, 4295, 3334, 267, 971, 607, 29863, 11707, 267, 2157, 267, 3197, 267, 543, 5054, 269, 901, 5123, 3340, 8193, 267, 1148, 5137, 267, 3280, 1374, 267, 543, 811, 563, 14818, 532, 543, 10866, 2667, 4269, 281, 21004, 4152, 5849, 602, 519, 3014, 3252, 607, 5497, 267, 7114, 12961, 267, 1350, 9662, 267, 543, 2127, 585, 6454, 563, 21691, 5109, 281, 3763, 619, 13217, 519, 3014, 1759, 593, 4152, 5955, 267, 17306, 2773, 267, 7393, 23877, 267, 543, 5386, 2389, 12941, 29863, 11707, 563, 274, 269, 634, 10020, 540, 10794, 5071, 281, 14958, 532, 26761, 23800, 454, 29228, 5071, 619, 960, 1688, 2987, 11804, 609, 519, 9367, 547, 1711, 2189, 11080, 2833, 269, 1358, 5581, 519, 3014, 779, 11707, 267, 6859, 267, 5933, 267, 543, 11144, 1949, 269, 5071, 619, 849, 1711, 2157, 602, 5348, 322, 3014, 7411, 609, 6278, 547, 2327, 5716, 2611, 27153, 543, 12592, 547, 1404, 563, 275, 269, 8056, 619, 633, 27884, 281, 21931, 5071, 454, 301, 1551, 894, 1374, 21810, 3756, 883, 7317, 9423, 2833, 269, 19536, 543, 2239, 9858, 4739, 2502, 13602, 267, 12300, 3197, 267, 543, 6209, 5079, 602, 1450, 5716, 547, 1764, 519, 1650, 779, 6364, 269, 10632, 899, 968, 763, 7831, 540, 2974, 892, 543, 968, 22709, 6356, 892, 13686, 519, 2239, 779, 1379, 547, 18427, 4664, 543, 1711, 15138, 10600, 563, 276, 269, 634, 25895, 7982, 14752, 281, 10794, 1621, 1149, 454, 29228, 9817, 616, 519, 6639, 10850, 602, 1379, 3014, 1646, 269, 1621, 1149, 899, 30767, 543, 1133, 9418, 5422, 1683, 2645, 585, 8193, 267, 17021, 12449, 267, 2870, 6323, 13502, 267, 543, 7598, 8301, 269, 1452, 9817, 24339, 520, 1125, 3014, 1646, 676, 1818, 621, 3015, 547, 9367, 609, 8795, 2157, 540, 6791, 563, 277, 269, 10439, 589, 652, 12060, 281, 3203, 543, 1323, 11582, 454, 9213, 267, 519, 3308, 5920, 540, 513, 3014, 568, 519, 1101, 3693, 547, 1303, 823, 5716, 269, 5071, 619, 543, 1918, 2209, 6108, 2395, 8888, 2143, 3197, 267, 5054, 267, 543, 27515, 547, 3142, 519, 3014, 547, 1272, 269, 13689, 593, 519, 3014, 1523, 267, 519, 1148, 2511, 666, 581, 10853, 267, 18920, 730, 267, 7493, 610, 20419, 344, 543, 2285, 513, 2189, 2631, 547, 519, 3014, 563, 278, 269, 634, 14675, 540, 717, 5446, 281, 23866, 5071, 454, 29423, 1470, 6272, 9148, 519, 3308, 5920, 540, 519, 3014, 543, 1039, 513, 3178, 547, 519, 2347, 11080, 1995, 269, 14675, 9858, 960, 593, 19355, 2575, 267, 21089, 267, 543, 1915, 9739, 547, 18427, 21599, 543, 7553, 269, 23866, 6272, 616, 2629, 547, 519, 3014, 543, 15747, 538, 2870, 513, 2189, 9423, 1995, 585, 519, 5716, 563, 279, 269, 634, 14871, 28497, 630, 21397, 264, 543, 14871, 15232, 630, 308, 311, 994, 21397, 270, 308, 311, 1374, 568, 1898, 585, 2870, 3593, 7888, 2833, 269, 5071, 619, 1711, 16022, 17103, 602, 3391, 5716, 998, 27487, 267, 6427, 1559, 267, 543, 8060, 269, 589, 15774, 30892, 270, 308, 311, 10597, 6345, 6278, 543, 11151, 17140, 563, 280, 269, 16844, 543, 29621, 281, 589, 19663, 14087, 894, 454, 763, 3014, 1646, 2872, 568, 5051, 9301, 519, 2956, 540, 4763, 543, 10014, 269, 3763, 619, 616, 20678, 547, 1711, 3756, 602, 2099, 3309, 10080, 267, 25469, 267, 543, 5380, 269, 29621, 11498, 547, 10333, 2934, 602, 2327, 3756, 666, 581, 10150, 676, 5716, 540, 782, 5759, 563, 1015, 269, 3933, 564, 1436, 11150, 281, 15332, 519, 10794, 454, 12507, 564, 1436, 568, 513, 4909, 2460, 540, 519, 2872, 267, 3850, 9367, 547, 2844, 741, 960, 543, 1711, 2104, 10643, 269, 2755, 2757, 2409, 4125, 3014, 6455, 267, 1395, 564, 1436, 814, 9450, 547, 1331, 4647, 762, 1543, 267, 2890, 10520, 13905, 267, 31941, 687, 267, 543, 538, 3766, 877, 16306, 563, 1556, 269, 634, 22547, 540, 1473, 773, 10632, 281, 25085, 532, 27065, 454, 5715, 773, 3756, 723, 20077, 513, 13395, 538, 519, 2872, 267, 3850, 1507, 6887, 610, 1367, 9367, 547, 1711, 2189, 2833, 269, 7913, 3892, 5867, 899, 29673, 543, 898, 577, 269, 1470, 1683, 513, 3760, 585, 967, 773, 3756, 547, 3914, 513, 2518, 5304, 267, 7175, 3309, 9739, 543, 5499, 2093, 547, 8853, 563, 1321, 269, 12752, 12694, 281, 21344, 27065, 543, 25642, 454, 8601, 519, 5876, 543, 6612, 602, 4492, 519, 2872, 267, 3014, 1646, 568, 711, 1510, 2591, 269, 21344, 7499, 5075, 609, 2883, 23812, 267, 5466, 29511, 2528, 267, 543, 10188, 4657, 4066, 616, 1175, 513, 1906, 540, 519, 23665, 9367, 3068, 563, 1724, 269, 634, 8892, 281, 24021, 16370, 543, 12367, 454, 763, 2104, 540, 3014, 1646, 568, 8032, 676, 6932, 4066, 971, 607, 5691, 4641, 267, 21284, 4641, 267, 6531, 11080, 267, 543, 5841, 4987, 269, 1452, 4066, 3180, 519, 1761, 547, 22499, 6345, 2833, 543, 28196, 710, 875, 3756, 616, 2813, 543, 10057, 563, 1691, 269, 26761, 22580, 543, 7991, 8490, 454, 32156, 6278, 568, 513, 22294, 540, 3811, 3014, 1646, 269, 3763, 619, 6536, 2950, 998, 1514, 2923, 267, 15473, 267, 543, 2621, 267, 3850, 5716, 547, 1921, 267, 2671, 2833, 267, 543, 1683, 5955, 269, 634, 1650, 540, 2146, 2679, 19156, 519, 2956, 540, 6947, 547, 5716, 267, 5466, 741, 4145, 267, 543, 2870, 513, 2631, 540, 10362, 563, 1428, 269, 10507, 7964, 543, 14847, 1438, 717, 5446, 454, 19324, 7964, 814, 9927, 11080, 883, 513, 2518, 7613, 267, 609, 3318, 5716, 267, 4663, 23788, 267, 543, 7372, 9458, 269, 10632, 899, 968, 8867, 6558, 540, 6181, 1742, 2223, 968, 291, 7974, 476, 273, 2223, 543, 968, 5425, 281, 32271, 892, 13686, 519, 8013, 2460, 540, 519, 2872, 269, 634, 2239, 540, 1965, 7964, 8711, 519, 12760, 540, 5578, 267, 4640, 267, 543, 9913, 267, 6173, 908, 11080, 547, 513, 1106, 540, 3059, 7328, 563, 29228, 1646, 2872, 568, 5318, 543, 6946, 609, 3978, 3877, 269, 7756, 4648, 689, 8795, 4610, 2097, 1927, 547, 1711, 606, 15138, 1995, 1210, 519, 5767, 2029, 538, 519, 2872, 269, 4340, 547, 519, 1283, 3014, 1646, 3549, 267, 607, 519, 2872, 9428, 267, 649, 666, 7198, 519, 2591, 621, 8188, 543, 519, 3255, 621, 5932, 269, 898, 568, 513, 3810, 29988, 2361, 9141, 676, 6612, 267, 5876, 543, 2029, 602, 568, 3808, 547, 865, 541, 2362, 538, 519, 2104, 269, 1879, 649, 1353, 519, 538, 31398, 2195, 540, 519, 2872, 267, 649, 2744, 513, 4514, 7071, 585, 519, 23477, 267, 5647, 267, 543, 11428, 540, 519, 1004, 3238, 269, 0, 763, 13159, 10552, 16514, 630, 290, 21990, 264, 568, 1031, 676, 2564, 4648, 547, 2708, 2949, 1072, 540, 513, 3461, 543, 3713, 1022, 1761, 2152, 269, 898, 568, 2356, 513, 851, 540, 519, 2407, 1560, 2638, 1575, 563, 1432, 568, 519, 13159, 10552, 16514, 1449, 888, 2005, 568, 513, 4909, 1973, 1449, 30228, 519, 3461, 779, 1973, 269, 7201, 2391, 1072, 2175, 543, 1761, 17244, 616, 5462, 676, 6313, 2699, 1973, 2281, 543, 3043, 1973, 2281, 563, 268, 4414, 1973, 2281, 1107, 1452, 2281, 4163, 5135, 547, 519, 1560, 779, 8031, 269, 634, 595, 21990, 1449, 3800, 519, 1297, 540, 2699, 1973, 2281, 267, 519, 2450, 540, 2699, 1973, 2281, 267, 543, 519, 2179, 540, 688, 655, 18331, 538, 519, 2699, 1973, 2281, 563, 268, 6519, 1973, 2281, 1107, 1452, 2281, 616, 519, 1560, 779, 3210, 547, 606, 3968, 269, 634, 595, 21990, 1449, 3800, 519, 1297, 540, 3043, 1973, 2281, 543, 519, 1114, 2010, 540, 3043, 1973, 2281, 563, 268, 17934, 7410, 1107, 1452, 616, 1973, 2281, 602, 948, 547, 8052, 1973, 269, 634, 1449, 568, 1031, 547, 2268, 519, 1297, 540, 6676, 7410, 563, 2691, 568, 519, 595, 21990, 1449, 5227, 888, 2005, 568, 1419, 851, 540, 513, 6296, 2407, 1560, 2638, 1575, 269, 24930, 786, 4363, 713, 1449, 952, 513, 3461, 568, 7680, 2589, 971, 607, 9854, 267, 32584, 2597, 2530, 610, 26032, 540, 7362, 563, 1432, 616, 519, 3676, 602, 596, 666, 2708, 609, 513, 595, 21990, 1449, 888, 4415, 519, 948, 540, 519, 13159, 10552, 16514, 1449, 267, 2564, 9439, 2744, 3407, 1344, 593, 519, 3461, 779, 5888, 543, 2298, 540, 1973, 269, 1411, 666, 3406, 585, 513, 4152, 4099, 2282, 803, 543, 1205, 538, 5905, 609, 519, 1318, 10368, 4099, 269, 898, 6087, 873, 547, 917, 519, 4761, 1062, 779, 4222, 543, 2697, 1022, 5571, 5563, 269, 2368, 3676, 543, 4713, 602, 595, 21990, 1449, 666, 948, 13209, 616, 912, 268, 12920, 18331, 2157, 547, 2638, 17350, 454, 268, 12920, 520, 665, 761, 2157, 547, 2638, 585, 4713, 899, 5642, 20768, 4524, 454, 268, 6519, 1973, 1591, 1293, 610, 11186, 1293, 547, 5365, 5563, 454, 268, 10552, 779, 5135, 8876, 4390, 547, 2697, 1973, 32378, 4713, 454, 268, 21210, 1062, 17244, 267, 4761, 3210, 543, 16991, 3676, 454, 1432, 568, 519, 5650, 540, 519, 595, 21990, 1449, 888, 763, 3102, 1973, 2079, 568, 513, 2241, 543, 1928, 1652, 5650, 2944, 676, 23390, 899, 966, 6359, 11535, 26616, 4099, 269, 6997, 23390, 949, 4363, 17509, 1354, 519, 1449, 267, 543, 621, 568, 1271, 585, 2550, 547, 3914, 856, 547, 1174, 519, 15416, 543, 5528, 547, 2327, 519, 3732, 6394, 568, 3514, 585, 6514, 563, 268, 589, 3782, 3318, 689, 513, 10368, 4099, 786, 2721, 513, 3732, 540, 1973, 689, 519, 18916, 540, 519, 3461, 779, 6186, 609, 519, 948, 540, 513, 25062, 13549, 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 ]
[ 267, 5412, 476, 1015, 267, 476, 4198, 271, 282, 17578, 340, 5942, 9474, 267, 3567, 267, 5130, 476, 1428, 267, 476, 4198, 272, 630, 6016, 730, 1033, 16670, 540, 13617, 2609, 693, 2672, 342, 517, 689, 2904, 476, 4198, 272, 5148, 2672, 342, 517, 9474, 267, 3162, 9705, 267, 5239, 476, 272, 267, 476, 4198, 272, 268, 563, 8333, 32752, 281, 2051, 269, 3627, 654, 269, 654, 3881, 2006, 267, 910, 19688, 476, 2190, 267, 476, 4198, 272, 282, 2051, 269, 20182, 717, 269, 8426, 7236, 267, 4989, 476, 2190, 267, 476, 4198, 272, 282, 2051, 269, 5261, 623, 269, 22175, 2023, 267, 524, 269, 5437, 476, 272, 267, 476, 4198, 272, 282, 2051, 269, 6723, 681, 269, 26304, 630, 5793, 574, 1070, 5437, 476, 273, 267, 476, 4198, 272, 282, 2051, 269, 14731, 590, 269, 18637, 637, 7288, 267, 5437, 476, 277, 267, 476, 4198, 272, 282, 2051, 269, 3627, 654, 269, 27508, 267, 4873, 476, 1724, 267, 4198, 273, 282, 2051, 269, 5261, 595, 269, 18412, 267, 2904, 476, 4029, 267, 476, 4198, 274, 268, 563, 290, 2086, 5218, 20837, 619, 6167, 5510, 2400, 282, 16671, 293, 27800, 282, 3689, 6167, 22388, 4752, 2400, 282, 16671, 293, 11354, 5510, 2400, 282, 6167, 14400, 6363, 718, 5510, 2400, 282, 5822, 11114, 15604, 282, 9705, 267, 14400, 6363, 718, 476, 4198, 273, 282, 12059, 11114, 15604, 282, 9705, 267, 14400, 476, 4198, 274, 563, 13356, 32590, 5565, 6243, 540, 9705, 30814, 5149, 13022, 725, 585, 5712, 5181, 476, 736, 267, 476, 4198, 271, 11219, 2317, 476, 1789, 267, 476, 4198, 272, 543, 5147, 476, 272, 267, 476, 4198, 272, 5336, 1105, 476, 4029, 267, 476, 4198, 274, 563, 7906, 560, 674, 7660, 268, 11328, 1061, 528, 6828, 454, 1103, 5181, 476, 4198, 271, 267, 519, 476, 7906, 560, 16658, 543, 922, 476, 1626, 628, 543, 476, 1839, 628, 8293, 611, 6425, 6410, 547, 3567, 896, 10512, 1852, 540, 519, 476, 279, 628, 674, 289, 310, 269, 10738, 3108, 540, 12625, 267, 1895, 21804, 3459, 10760, 674, 268, 3199, 338, 593, 8396, 2011, 29862, 267, 11439, 11028, 18590, 543, 2673, 2011, 1489, 13485, 936, 9705, 269, 634, 476, 7906, 560, 16658, 6410, 547, 918, 11069, 334, 9474, 267, 4092, 1175, 5045, 540, 1530, 9567, 267, 538, 5239, 269, 769, 5412, 267, 621, 24363, 476, 278, 8287, 4990, 625, 267, 1519, 2673, 2011, 1489, 585, 519, 476, 273, 526, 32691, 10406, 267, 2759, 1055, 676, 519, 10546, 538, 519, 25610, 540, 31311, 340, 268, 686, 269, 634, 476, 7906, 560, 16658, 5280, 2149, 519, 6498, 781, 1166, 3471, 543, 10032, 10546, 4155, 4565, 4169, 10300, 1154, 5045, 1189, 3350, 269, 769, 2038, 5130, 476, 4198, 272, 267, 621, 556, 14765, 1441, 922, 2385, 13617, 538, 3567, 855, 4797, 547, 8038, 13485, 936, 9705, 267, 588, 1645, 1101, 998, 19248, 8948, 543, 1287, 998, 2672, 342, 517, 5794, 12476, 269, 4825, 9506, 547, 9705, 538, 3735, 5147, 267, 519, 476, 7906, 560, 16658, 6462, 2666, 4229, 543, 922, 21804, 24363, 29862, 267, 26603, 677, 267, 22524, 2109, 267, 543, 11439, 11028, 18590, 13485, 269, 769, 5181, 543, 5239, 267, 519, 1895, 13991, 922, 2101, 8396, 4674, 1996, 16456, 338, 543, 824, 1292, 3761, 11507, 538, 3345, 9705, 269, 2991, 519, 476, 7906, 560, 16658, 5912, 539, 547, 674, 268, 10436, 17939, 516, 329, 1115, 538, 5437, 268, 20103, 267, 922, 3119, 5692, 2968, 2011, 27166, 563, 23382, 520, 22020, 281, 476, 1626, 628, 674, 7660, 268, 11328, 1061, 528, 8293, 611, 1258, 281, 8653, 269, 476, 1839, 628, 674, 7660, 268, 11328, 1061, 528, 8293, 611, 1258, 281, 8653, 269, 476, 4375, 628, 674, 7660, 268, 11328, 1061, 528, 8293, 611, 1258, 281, 7923, 4873, 476, 272, 267, 476, 4198, 273, 268, 269, 476, 6924, 628, 674, 7660, 5025, 961, 16661, 8293, 611, 1258, 281, 7923, 5181, 476, 1839, 268, 19751, 476, 280, 267, 476, 4198, 271, 269, 476, 3199, 628, 674, 7660, 5174, 558, 828, 8293, 611, 1258, 281, 7923, 5181, 476, 1839, 268, 20103, 476, 736, 267, 476, 4198, 271, 563, 1805, 725, 281, 898, 1794, 8123, 9474, 267, 3567, 267, 5181, 476, 2420, 267, 476, 4198, 271, 282, 918, 11069, 334, 9474, 267, 3162, 9705, 267, 5239, 476, 2190, 267, 476, 4198, 271, 282, 898, 1794, 8123, 9474, 267, 3567, 267, 5130, 476, 274, 267, 476, 4198, 272, 282, 17578, 340, 5942, 9474, 267, 3567, 267, 5130, 476, 2420, 267, 476, 4198, 272, 282, 2672, 342, 517, 9474, 267, 3162, 9705, 267, 5147, 476, 4029, 267, 476, 4198, 272, 268, 563, 8333, 32752, 281, 2051, 269, 20182, 717, 269, 8426, 7236, 267, 5412, 476, 1626, 267, 476, 4198, 271, 282, 2051, 269, 7054, 7773, 670, 269, 667, 2958, 928, 267, 4989, 476, 2190, 267, 476, 4198, 272, 282, 700, 339, 269, 2051, 269, 3627, 631, 269, 774, 871, 518, 267, 5147, 476, 2641, 267, 476, 4198, 272, 282, 700, 339, 269, 2051, 269, 6723, 700, 269, 13643, 267, 5437, 476, 1724, 267, 476, 4198, 272, 282, 700, 339, 269, 2051, 269, 5261, 631, 269, 17125, 2023, 267, 524, 269, 4728, 476, 1704, 267, 476, 4198, 273, 282, 700, 339, 269, 2051, 269, 15751, 590, 269, 23765, 267, 4873, 476, 4198, 273, 282, 2051, 269, 7917, 623, 269, 25930, 7773, 267, 5130, 476, 4198, 274, 268, 563, 290, 2086, 5218, 20837, 619, 281, 6167, 5510, 2400, 282, 16671, 293, 27800, 282, 3689, 6167, 22388, 4752, 2400, 282, 16671, 293, 11354, 5510, 2400, 282, 6167, 14400, 6363, 718, 5510, 2400, 282, 5822, 11114, 15604, 282, 9705, 267, 14400, 6363, 718, 476, 4198, 273, 282, 12059, 11114, 15604, 282, 9705, 267, 14400, 476, 4198, 274, 563, 13356, 32590, 281, 31692, 1639, 5149, 27375, 585, 3527, 8720, 5437, 476, 2764, 267, 476, 4198, 272, 5025, 1440, 559, 476, 1789, 267, 476, 4198, 273, 269, 5565, 6243, 540, 9705, 30814, 5149, 13022, 725, 585, 5712, 5181, 2073, 476, 4198, 271, 11219, 2317, 476, 1789, 267, 476, 4198, 272, 543, 5147, 476, 272, 267, 476, 4198, 272, 5336, 1105, 476, 4029, 267, 476, 4198, 274, 269, 0, 763, 594, 6717, 290, 7000, 713, 1282, 513, 29519, 18799, 547, 29428, 2622, 26269, 4303, 593, 5412, 476, 276, 628, 563, 288, 2048, 299, 523, 3050, 8889, 685, 3947, 3549, 2407, 610, 9864, 12046, 689, 22717, 610, 20507, 950, 789, 1683, 1344, 827, 513, 7047, 601, 538, 799, 789, 15548, 538, 563, 290, 691, 601, 2932, 568, 606, 6876, 676, 15712, 547, 11282, 741, 5777, 610, 3977, 538, 1931, 547, 2333, 741, 7104, 7443, 563, 1607, 666, 1331, 912, 268, 12313, 21338, 454, 268, 15147, 14499, 454, 268, 10369, 4687, 454, 268, 2353, 20814, 5561, 3248, 268, 1656, 12145, 2504, 610, 3761, 563, 290, 691, 601, 2932, 568, 1767, 547, 2693, 2014, 2804, 2800, 543, 568, 5051, 2352, 547, 2697, 563, 6546, 568, 1946, 519, 1646, 540, 7003, 3050, 4507, 6663, 547, 5000, 6105, 3238, 538, 7047, 601, 2932, 547, 2097, 4464, 609, 1344, 865, 789, 949, 711, 581, 27052, 610, 21991, 3176, 563, 25387, 519, 594, 6717, 290, 2920, 10238, 1080, 3902, 21338, 543, 17181, 776, 14074, 563, 19602, 519, 594, 6717, 290, 568, 3384, 519, 4762, 7808, 640, 28787, 338, 13832, 563, 263, 17572, 30679, 540, 700, 2801, 627, 541, 325, 799, 568, 4092, 538, 623, 7582, 779, 4853, 7997, 264, 0, 32101, 4063, 689, 10396, 590, 2438, 13503, 832, 827, 519, 4578, 3750, 6516, 12191, 547, 2099, 543, 5659, 513, 1164, 3432, 3059, 5365, 269, 13017, 1934, 630, 14457, 994, 763, 3750, 6516, 2636, 1883, 6724, 540, 519, 5122, 2298, 540, 519, 5365, 547, 581, 3533, 3308, 1242, 543, 5462, 269, 634, 1239, 3750, 6516, 568, 9112, 689, 513, 3059, 5951, 845, 676, 24208, 519, 2694, 540, 519, 5951, 845, 7222, 547, 1142, 1367, 3787, 883, 513, 2582, 3113, 609, 5365, 17931, 593, 519, 7299, 7852, 543, 942, 593, 8880, 7852, 269, 1635, 18110, 713, 4070, 936, 1082, 5439, 540, 519, 5951, 845, 267, 519, 25739, 3113, 786, 2099, 519, 3328, 7194, 540, 519, 5365, 543, 786, 18613, 606, 3750, 269, 634, 3750, 6679, 14687, 547, 835, 3787, 1974, 543, 568, 3335, 1572, 519, 5149, 3955, 1998, 630, 21397, 264, 8700, 540, 519, 3750, 6516, 269, 1323, 4998, 3059, 5951, 845, 609, 8325, 4473, 543, 2887, 2053, 543, 3586, 17931, 786, 723, 606, 3750, 6516, 563, 32101, 4063, 593, 31155, 599, 779, 9095, 11259, 590, 13270, 29522, 267, 13017, 1934, 630, 14457, 994, 14157, 5653, 12750, 4536, 666, 5352, 1360, 1164, 28696, 1813, 547, 606, 28860, 5547, 602, 20555, 513, 1900, 5346, 22155, 267, 799, 568, 4448, 547, 519, 12750, 1512, 5547, 269, 1323, 1383, 540, 513, 6093, 6453, 12750, 1512, 267, 799, 568, 3274, 513, 5547, 16922, 540, 29522, 543, 1019, 3941, 602, 5279, 543, 11166, 538, 20367, 3368, 9979, 540, 519, 4294, 8028, 6453, 269, 10241, 585, 6453, 12750, 4536, 1331, 8038, 3724, 4780, 1562, 267, 1141, 513, 1164, 6453, 568, 3812, 689, 513, 1970, 6007, 610, 3761, 6453, 538, 2564, 2473, 11920, 1949, 267, 2011, 9357, 9088, 267, 543, 14251, 8113, 8554, 267, 543, 31627, 8506, 513, 1164, 19581, 5653, 1379, 3761, 563, 2691, 513, 1164, 6453, 1761, 568, 4294, 693, 3436, 476, 1911, 271, 966, 267, 606, 9095, 27492, 1063, 519, 23525, 267, 610, 689, 12363, 547, 2013, 786, 2049, 269, 1677, 9004, 1022, 9095, 27492, 267, 606, 936, 1723, 908, 666, 581, 4294, 547, 519, 4604, 267, 610, 3606, 4604, 11768, 19437, 666, 581, 3773, 547, 20586, 519, 1164, 19581, 5653, 3296, 689, 824, 6810, 540, 519, 4604, 269, 4014, 23541, 1039, 1942, 547, 519, 1184, 543, 519, 1374, 267, 789, 616, 2838, 538, 930, 3156, 547, 2743, 5122, 3106, 4441, 563, 2304, 3498, 4063, 689, 31155, 599, 827, 7446, 519, 1318, 6882, 29522, 602, 616, 5116, 2047, 593, 1292, 338, 269, 13017, 1934, 630, 14457, 994, 2414, 948, 4227, 12998, 543, 2810, 519, 12046, 540, 5925, 13779, 267, 13590, 13779, 21109, 4670, 29522, 630, 4932, 296, 29522, 264, 616, 4730, 513, 2101, 1909, 538, 782, 2186, 540, 3156, 269, 1452, 29522, 616, 2322, 2047, 6252, 936, 519, 1292, 338, 693, 519, 3403, 540, 519, 14233, 563, 10303, 540, 519, 1164, 1648, 8244, 543, 519, 4049, 1604, 540, 10006, 28696, 543, 20512, 267, 3156, 540, 29522, 538, 4276, 609, 519, 1292, 338, 1590, 581, 6074, 5402, 269, 5565, 5686, 540, 4296, 543, 3976, 1079, 5686, 540, 3156, 666, 581, 13747, 269, 2290, 568, 1141, 519, 19218, 568, 2047, 4448, 538, 6252, 609, 519, 1292, 338, 1510, 1022, 824, 25317, 610, 5547, 4027, 267, 543, 1776, 1141, 519, 19218, 568, 4448, 547, 519, 1292, 338, 538, 3126, 609, 1776, 5547, 787, 563, 288, 7168, 4587, 3498, 4063, 827, 519, 17626, 8301, 8818, 676, 19449, 6350, 20603, 269, 13017, 1934, 630, 14457, 994, 2005, 949, 2097, 607, 513, 9983, 547, 1346, 3843, 547, 1118, 741, 3355, 7634, 883, 8301, 1949, 1374, 602, 972, 568, 513, 632, 1922, 716, 334, 3044, 585, 22151, 8301, 1239, 1369, 513, 1062, 269, 6736, 519, 18312, 20803, 14908, 1031, 1369, 519, 2872, 267, 891, 15151, 1114, 17103, 616, 9247, 9838, 269, 1280, 519, 19160, 540, 16134, 267, 649, 786, 946, 519, 2165, 5395, 658, 23866, 28497, 630, 6347, 296, 264, 538, 713, 4901, 269, 634, 5395, 658, 23866, 28497, 568, 676, 2484, 519, 1034, 1455, 7271, 1031, 547, 4483, 1079, 9055, 540, 8301, 1239, 1063, 3457, 1369, 513, 1062, 282, 585, 3236, 267, 689, 519, 12746, 1729, 1673, 580, 1388, 20303, 547, 519, 7913, 28686, 6713, 528, 630, 9169, 303, 264, 543, 1287, 519, 3059, 3562, 12845, 11530, 20303, 563, 5194, 2212, 3553, 11690, 2987, 7020, 689, 7147, 29698, 269, 13017, 1934, 630, 14457, 994, 763, 2212, 3553, 3713, 5547, 787, 666, 16174, 1063, 1395, 334, 267, 8305, 334, 267, 1395, 334, 609, 28416, 267, 543, 8305, 334, 609, 28416, 9843, 1115, 269, 898, 666, 7500, 1247, 519, 30838, 5392, 274, 276, 568, 5116, 883, 1970, 1699, 1796, 2421, 7154, 267, 799, 8992, 6905, 6007, 1272, 269, 769, 1796, 2421, 7154, 267, 621, 27499, 1100, 3063, 1699, 267, 952, 519, 2212, 3553, 814, 711, 1044, 17332, 883, 519, 2212, 3553, 13544, 563, 5472, 827, 2981, 619, 543, 922, 1114, 3096, 538, 713, 3498, 4063, 689, 12653, 1092, 269, 13017, 1934, 630, 14457, 994, 300, 584, 1092, 779, 3498, 4063, 827, 1802, 4701, 543, 922, 16551, 269, 13017, 1934, 630, 14457, 994, 20091, 513, 20487, 585, 606, 1802, 2758, 568, 2808, 513, 2241, 4305, 267, 2705, 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, 979, 585, 621, 269, 1403, 596, 723, 513, 2199, 3165, 6300, 609, 606, 3232, 4195, 6952, 267, 23679, 267, 1256, 1732, 269, 1809, 952, 596, 723, 513, 11425, 543, 556, 601, 267, 513, 1560, 540, 1216, 543, 6148, 1256, 513, 10935, 267, 4986, 20054, 519, 1995, 543, 4986, 16919, 1732, 982, 554, 8504, 513, 2462, 835, 543, 2348, 621, 593, 707, 6676, 543, 538, 707, 7181, 1369, 519, 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 ]
[ 0, 306, 773, 521, 785, 14193, 325, 1530, 924, 476, 272, 341, 517, 476, 273, 692, 258, 589, 8174, 566, 540, 519, 8174, 14306, 540, 513, 24572, 1210, 1152, 10026, 11810, 543, 513, 22697, 1576, 538, 5276, 7223, 692, 1012, 5395, 1190, 306, 638, 573, 918, 8025, 8212, 19510, 5239, 476, 2767, 267, 476, 1001, 274, 692, 2691, 7384, 519, 12045, 540, 519, 24572, 540, 513, 5119, 513, 815, 513, 6025, 264, 513, 10169, 2241, 4542, 568, 2139, 693, 519, 2798, 1141, 513, 568, 538, 3200, 1043, 543, 1114, 4192, 543, 621, 14509, 546, 1033, 513, 815, 1033, 513, 959, 24303, 13005, 476, 272, 513, 24303, 692, 3602, 13005, 7933, 339, 568, 519, 5119, 4646, 676, 1114, 11868, 519, 2609, 513, 269, 1411, 666, 1935, 713, 4542, 538, 1114, 2081, 855, 519, 835, 1095, 525, 5034, 1934, 568, 835, 2324, 2047, 689, 519, 8763, 14805, 566, 3954, 819, 540, 519, 24572, 269, 1548, 649, 786, 798, 568, 2047, 7114, 519, 5276, 851, 540, 1033, 5416, 6025, 1341, 554, 4297, 950, 621, 568, 9450, 538, 554, 267, 9001, 519, 1249, 602, 513, 568, 1114, 4192, 547, 2328, 513, 6025, 1341, 554, 264, 815, 513, 6025, 264, 1341, 13005, 7933, 339, 6025, 264, 327, 1341, 522, 22607, 273, 3738, 543, 689, 713, 13844, 519, 5551, 4542, 269, 1924, 678, 560, 569, 649, 723, 1033, 5416, 6025, 1341, 554, 4297, 21591, 27409, 562, 692, 27409, 737, 284, 272, 692, 752, 17347, 264, 630, 339, 264, 30492, 333, 692, 1012, 546, 752, 17347, 264, 630, 339, 264, 554, 1341, 744, 22607, 273, 3738, 24303, 692, 333, 692, 23751, 27409, 692, 338, 3913, 263, 12467, 330, 284, 272, 692, 752, 17347, 264, 630, 339, 264, 1341, 554, 454, 330, 284, 272, 692, 323, 752, 17347, 264, 630, 339, 264, 24303, 692, 320, 454, 263, 3738, 630, 339, 2020, 266, 744, 22607, 273, 25589, 284, 330, 692, 3602, 649, 723, 1541, 1221, 1011, 322, 7019, 519, 2474, 540, 5276, 1931, 538, 554, 269, 634, 678, 560, 2474, 666, 581, 2047, 1541, 1221, 607, 1033, 5416, 6025, 4297, 1247, 519, 2034, 2165, 786, 2154, 930, 960, 930, 960, 269, 1280, 1786, 6143, 649, 786, 6749, 630, 339, 264, 689, 513, 6359, 630, 339, 264, 543, 3274, 2328, 513, 6359, 1547, 476, 272, 692, 5575, 540, 782, 649, 2253, 676, 4657, 519, 1931, 540, 14805, 566, 936, 519, 32545, 543, 936, 737, 454, 333, 737, 284, 272, 10965, 692, 323, 752, 17347, 264, 521, 3913, 263, 3738, 24303, 692, 320, 454, 284, 330, 692, 263, 25589, 3086, 649, 949, 2417, 3467, 2736, 6306, 519, 2040, 936, 883, 562, 5094, 18304, 1142, 936, 519, 29162, 540, 32545, 971, 602, 630, 330, 3738, 815, 795, 799, 11729, 454, 333, 562, 692, 330, 284, 272, 795, 815, 272, 692, 323, 752, 329, 24303, 692, 338, 3913, 263, 12467, 27409, 2073, 630, 330, 6661, 329, 815, 330, 692, 263, 25589, 3086, 713, 2040, 936, 10965, 2073, 630, 330, 3738, 815, 737, 568, 2965, 1945, 1360, 5432, 269, 5457, 602, 519, 1071, 26476, 595, 330, 329, 540, 513, 5119, 513, 568, 546, 2989, 547, 581, 1018, 3788, 952, 649, 1491, 1152, 519, 2474, 540, 519, 24572, 1033, 513, 538, 799, 519, 3693, 513, 330, 329, 2049, 543, 543, 1287, 3815, 856, 513, 330, 329, 2073, 799, 568, 10502, 1018, 713, 2040, 5666, 547, 269, 1924, 649, 949, 2328, 454, 333, 737, 25814, 815, 272, 692, 323, 752, 329, 595, 330, 329, 24303, 692, 5472, 9273, 909, 547, 713, 1448, 723, 10924, 4986, 827, 519, 3601, 540, 513, 693, 512, 855, 952, 621, 568, 538, 3200, 1043, 693, 713, 1448, 649, 666, 1118, 946, 540, 519, 1249, 602, 519, 1071, 2399, 832, 540, 513, 5119, 616, 703, 2954, 1644, 547, 519, 11201, 540, 519, 1482, 5119, 267, 12077, 676, 630, 320, 272, 3738, 329, 330, 815, 595, 330, 329, 1315, 1033, 513, 799, 11729, 454, 333, 737, 25814, 815, 272, 692, 333, 737, 25814, 815, 272, 692, 1012, 546, 752, 329, 476, 272, 630, 320, 3738, 329, 330, 815, 1033, 513, 959, 24303, 692, 6767, 476, 272, 513, 24303, 692, 3086, 13059, 547, 938, 3312, 14764, 649, 723, 1033, 9230, 320, 6025, 1341, 554, 4297, 815, 1033, 513, 6025, 264, 1341, 554, 1033, 513, 6025, 264, 959, 543, 621, 568, 2312, 602, 546, 1033, 513, 815, 1033, 513, 959, 24303, 13005, 476, 272, 513, 24303, 13005, 6025, 264, 476, 272, 513, 630, 339, 264, 1341, 744, 22607, 273, 3738, 24303, 0, 1103, 1931, 547, 5173, 942, 547, 18214, 596, 991, 1384, 272, 269, 519, 7299, 3845, 596, 616, 16246, 630, 1410, 20793, 547, 476, 6110, 271, 3952, 815, 476, 6110, 271, 3952, 994, 273, 269, 707, 18214, 2557, 630, 1410, 476, 4335, 3952, 829, 8792, 2020, 7078, 912, 11742, 547, 18214, 815, 476, 6110, 271, 270, 4335, 454, 11742, 547, 18214, 815, 476, 279, 3764, 692, 1103, 1931, 547, 5173, 4492, 14616, 1109, 596, 991, 1384, 272, 269, 5384, 547, 18214, 630, 279, 25008, 994, 273, 269, 23556, 2095, 630, 280, 717, 874, 994, 274, 269, 634, 1297, 476, 2568, 692, 7078, 912, 293, 3241, 14616, 585, 18214, 815, 476, 279, 2608, 476, 280, 1315, 476, 2568, 454, 293, 3241, 14616, 585, 18214, 815, 476, 272, 269, 273, 11829, 976, 692, 2414, 5173, 3845, 14612, 1282, 707, 18214, 596, 786, 991, 1384, 272, 269, 476, 1109, 11742, 547, 18214, 630, 279, 25008, 994, 273, 269, 2659, 2666, 3432, 630, 1410, 476, 3583, 737, 339, 994, 274, 269, 634, 1297, 476, 2568, 692, 7078, 912, 291, 2700, 14612, 1282, 18214, 815, 476, 279, 2608, 476, 3583, 1315, 476, 2568, 454, 291, 2700, 14612, 1282, 18214, 815, 476, 280, 1547, 476, 3451, 28679, 0, 258, 6657, 609, 4936, 6613, 5644, 585, 4569, 4147, 692, 17273, 1543, 692, 1012, 13405, 4804, 692, 6524, 1053, 798, 713, 3992, 1544, 267, 789, 1058, 581, 6026, 519, 3652, 585, 2542, 543, 1603, 4936, 27766, 269, 1358, 1058, 849, 1174, 1018, 1142, 540, 519, 4936, 27766, 1796, 585, 269, 769, 2013, 789, 991, 513, 18589, 615, 267, 979, 936, 519, 1592, 540, 4936, 27766, 2630, 780, 1892, 594, 284, 272, 454, 1892, 966, 284, 276, 454, 1892, 2473, 284, 1015, 454, 1892, 700, 284, 2004, 454, 1892, 595, 284, 1911, 454, 1892, 667, 284, 4335, 454, 1892, 631, 284, 1911, 271, 692, 7230, 785, 1053, 540, 519, 3652, 585, 2542, 543, 1603, 4936, 27766, 1354, 3001, 593, 547, 519, 1985, 3296, 540, 519, 3992, 1544, 780, 1012, 7335, 543, 5675, 4936, 6613, 5644, 692, 5475, 17265, 519, 4936, 27766, 607, 1134, 607, 519, 3652, 585, 2542, 543, 1603, 873, 267, 2307, 1053, 547, 2347, 519, 1739, 7084, 780, 3519, 3200, 519, 1739, 4936, 27766, 547, 3044, 2338, 780, 1892, 30619, 630, 736, 994, 1892, 26577, 630, 280, 994, 1892, 23446, 630, 278, 994, 1892, 700, 309, 630, 4649, 994, 1892, 595, 18958, 7656, 630, 11277, 2020, 2005, 779, 711, 2614, 602, 1053, 616, 2111, 547, 1224, 4936, 27766, 269, 1358, 786, 991, 547, 917, 875, 547, 2328, 4936, 27766, 585, 2104, 1433, 5359, 543, 3594, 269, 2422, 519, 1592, 2630, 543, 2307, 1053, 547, 6460, 713, 883, 513, 1592, 540, 4936, 27766, 780, 1892, 476, 7367, 630, 299, 2862, 994, 1892, 476, 23310, 630, 6717, 311, 290, 994, 1892, 476, 275, 630, 4353, 994, 1892, 476, 1839, 630, 18958, 309, 994, 1892, 476, 27944, 630, 291, 311, 2020, 3086, 1053, 1058, 581, 2111, 547, 1224, 543, 2328, 4936, 27766, 269, 3767, 267, 789, 991, 547, 6542, 602, 789, 1174, 519, 3652, 543, 6698, 540, 4936, 27766, 676, 1373, 2111, 547, 5544, 621, 950, 789, 616, 2854, 27235, 269, 4495, 1053, 723, 7152, 789, 616, 2111, 547, 6460, 543, 2328, 4936, 27766, 267, 2307, 873, 547, 2953, 519, 1739, 1592, 540, 4936, 27766, 780, 1892, 22558, 630, 291, 7374, 311, 5746, 311, 994, 1892, 966, 5746, 630, 311, 290, 9654, 994, 1892, 966, 309, 309, 309, 630, 18958, 994, 1892, 30250, 630, 300, 994, 1892, 594, 7656, 630, 4353, 2020, 6826, 2386, 789, 1174, 875, 547, 1224, 267, 2328, 543, 2953, 4936, 27766, 676, 7234, 519, 2164, 540, 741, 8942, 538, 519, 1657, 5751, 269, 4495, 1053, 2347, 713, 3992, 789, 1058, 581, 1360, 6899, 609, 741, 1620, 540, 713, 1259, 540, 1603, 1297, 6698, 269, 4329, 1449, 741, 1702, 827, 4936, 27766, 676, 4758, 873, 513, 7008, 540, 2979, 1599, 10467, 1210, 4936, 27766, 3079, 540, 3044, 2338, 256, 4595, 1053, 949, 4898, 1946, 789, 723, 547, 1451, 713, 1505, 540, 1603, 2338, 267, 1865, 4025, 789, 949, 991, 547, 581, 2111, 547, 1224, 267, 2328, 543, 1174, 713, 1505, 540, 25643, 2338, 267, 971, 607, 2542, 23234, 267, 1603, 5359, 543, 1620, 2854, 5359, 780, 1012, 901, 2022, 568, 851, 540, 519, 3126, 281, 4936, 6613, 5644, 4653, 692, 1607, 3126, 568, 6131, 547, 1565, 827, 4936, 6613, 5644, 269, 1358, 616, 811, 982, 1175, 7168, 24795, 593, 513, 9219, 256, 0, 8310, 12995, 476, 274, 777, 337, 1428, 269, 4860, 2213, 609, 7064, 547, 25414, 654, 1074, 2401, 267, 476, 2764, 329, 592, 1556, 267, 2098, 30750, 10224, 27684, 267, 476, 3066, 329, 592, 1556, 267, 543, 6341, 534, 3933, 21105, 267, 476, 4029, 329, 592, 1724, 780, 8893, 593, 15214, 26382, 25927, 725, 454, 7445, 290, 259, 476, 476, 1001, 271, 267, 476, 1001, 276, 4515, 269, 6723, 918, 269, 14731, 267, 9119, 4972, 2676, 17206, 540, 13325, 780, 17961, 18097, 17805, 8679, 315, 332, 752, 564, 1856, 692, 315, 7611, 346, 7072, 8679, 8170, 782, 519, 14461, 20517, 267, 1422, 23753, 527, 346, 10520, 3175, 348, 15983, 568, 519, 1034, 4909, 269, 2311, 454, 1492, 9998, 2085, 267, 513, 1126, 568, 3365, 7596, 539, 950, 1352, 7575, 835, 1843, 689, 454, 1877, 547, 972, 269, 15585, 725, 543, 18759, 2097, 1454, 2663, 269, 21482, 573, 6444, 454, 10472, 676, 1010, 2034, 5403, 3634, 267, 12077, 602, 513, 2016, 1899, 10126, 949, 581, 454, 20728, 527, 22669, 1503, 784, 539, 348, 630, 514, 1312, 8846, 264, 22543, 17802, 883, 606, 1422, 3667, 346, 8882, 9548, 454, 1467, 348, 780, 763, 16380, 1185, 606, 513, 11437, 540, 1210, 519, 10206, 540, 20581, 267, 538, 851, 1317, 621, 454, 13195, 11786, 269, 4634, 2221, 267, 14605, 25009, 1153, 1453, 31495, 13133, 454, 7474, 2262, 20581, 607, 519, 2012, 540, 513, 1360, 1804, 1297, 267, 607, 538, 476, 2929, 267, 5479, 2676, 13700, 11669, 267, 575, 1794, 11669, 267, 20581, 269, 3143, 4898, 789, 1745, 19849, 21724, 950, 519, 4116, 454, 1721, 321, 1749, 873, 547, 2307, 1946, 4399, 8882, 640, 1341, 272, 259, 3884, 1405, 1022, 8273, 269, 1403, 585, 1100, 824, 2601, 2676, 14048, 519, 11810, 568, 513, 10995, 10421, 540, 1169, 13473, 1268, 563, 4913, 267, 519, 16380, 1131, 723, 1044, 3833, 6126, 609, 606, 4244, 2262, 585, 454, 534, 12808, 1899, 267, 12077, 606, 1422, 3667, 527, 346, 684, 321, 15903, 1899, 348, 563, 13434, 718, 602, 538, 519, 1360, 1101, 4070, 538, 713, 1576, 267, 519, 835, 3056, 454, 1729, 513, 6169, 540, 519, 18104, 1401, 10262, 24234, 14497, 267, 649, 1031, 713, 1523, 780, 1103, 713, 3992, 649, 1451, 799, 540, 519, 5409, 26382, 14759, 2097, 14191, 454, 1729, 938, 16022, 1620, 540, 16627, 269, 589, 1422, 3667, 527, 346, 30104, 26382, 454, 10520, 3175, 348, 2490, 856, 547, 581, 519, 2942, 540, 606, 1594, 1081, 267, 799, 568, 519, 454, 8527, 566, 540, 606, 1594, 1081, 827, 519, 5169, 676, 1269, 5197, 317, 334, 10608, 9747, 1169, 5409, 26382, 454, 10520, 4146, 666, 849, 581, 2854, 607, 513, 29352, 8144, 563, 13295, 267, 519, 4341, 602, 1169, 28070, 5163, 568, 519, 5888, 540, 10047, 454, 5976, 513, 8144, 630, 3249, 995, 267, 519, 1931, 6927, 264, 26251, 849, 538, 454, 12061, 292, 16090, 22470, 9511, 780, 2171, 786, 5635, 28070, 17464, 3175, 609, 5409, 26382, 8144, 2676, 4134, 16225, 532, 1082, 10486, 267, 855, 849, 930, 1713, 3604, 563, 1103, 1880, 267, 676, 3168, 693, 1018, 594, 899, 547, 1289, 519, 454, 20728, 527, 346, 306, 3147, 615, 328, 21805, 348, 649, 786, 2482, 547, 1964, 2899, 543, 585, 782, 519, 454, 11825, 11962, 31605, 602, 547, 581, 6252, 267, 3515, 1058, 581, 1226, 573, 9665, 454, 5228, 1142, 824, 269, 11569, 267, 713, 3959, 568, 7357, 28070, 269, 769, 519, 454, 30104, 26382, 7077, 267, 1226, 573, 9665, 14258, 3112, 1312, 581, 5409, 26382, 3515, 780, 315, 7611, 346, 29730, 26382 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1038, 1582, 8542, 3784, 15058, 318, 3832, 525, 525, 815, 1297, 15058, 318, 3832, 525, 525, 28329, 1038, 1582, 30419, 1695, 815, 9215, 288, 295, 26329, 28840, 15058, 14067, 8962, 994, 1038, 1582, 30419, 1695, 8807, 650, 6958, 1009, 14067, 944, 28840, 15058, 318, 3832, 525, 525, 994, 13872, 1038, 1582, 269, 13318, 15297, 815, 26444, 1038, 18011, 763, 6662, 540, 519, 3014, 568, 547, 1847, 519, 2016, 10518, 540, 29380, 525, 1422, 333, 7055, 1363, 1412, 1729, 519, 1318, 1034, 22454, 609, 519, 2547, 2179, 540, 7575, 26142, 333, 7055, 1363, 1412, 2414, 1847, 513, 3625, 540, 10381, 689, 22454, 2473, 547, 22454, 962, 1422, 333, 7055, 1363, 1412, 10938, 22454, 2338, 538, 519, 3898, 1535, 11971, 14826, 7055, 1363, 834, 11767, 1412, 14813, 334, 262, 952, 596, 6999, 547, 1224, 713, 5048, 1586, 14826, 4840, 1363, 834, 11767, 1412, 304, 3726, 262, 547, 14827, 519, 3014, 15419, 825, 1219, 1404, 318, 31467, 4311, 2187, 1038, 5727, 7591, 1230, 18030, 2861, 3014, 780, 1038, 7711, 12407, 1230, 18030, 6944, 28948, 1582, 912, 1038, 7711, 337, 6943, 281, 7183, 454, 1038, 8173, 1038, 1820, 4311, 269, 13318, 15297, 264, 11434, 454, 1038, 4971, 815, 3403, 2891, 11767, 513, 1847, 610, 1826, 2372, 527, 547, 14827, 281, 19515, 1038, 1247, 4971, 11203, 1412, 304, 3726, 12466, 2018, 524, 815, 4971, 14714, 8692, 14061, 20889, 263, 3299, 5073, 2018, 2119, 912, 3546, 952, 4971, 2652, 1412, 14813, 334, 12466, 7386, 1820, 4311, 269, 13318, 15297, 994, 3546, 8640, 7003, 6262, 264, 11203, 476, 273, 610, 711, 6262, 314, 271, 4940, 529, 333, 10179, 545, 3890, 543, 524, 314, 272, 4940, 529, 333, 10179, 545, 3890, 2187, 7386, 6318, 19129, 29729, 31161, 13286, 3097, 3546, 8640, 711, 476, 271, 2999, 703, 6262, 314, 271, 8079, 10922, 703, 4311, 8542, 3784, 15058, 14067, 8962, 2187, 7386, 1820, 3488, 13286, 1412, 1341, 524, 314, 271, 316, 1341, 1412, 568, 711, 1369, 519, 2039, 14826, 5073, 3546, 8640, 711, 476, 271, 2999, 703, 6262, 314, 272, 8079, 10922, 703, 4311, 8542, 3784, 15058, 14067, 8962, 2187, 7386, 1820, 3488, 13286, 1412, 1341, 524, 314, 272, 316, 1341, 1412, 568, 711, 1369, 519, 2039, 14826, 5073, 3546, 8640, 711, 1582, 30419, 1695, 10947, 4671, 641, 318, 3832, 3150, 17301, 6262, 314, 271, 8079, 910, 476, 272, 2187, 7386, 1820, 3488, 560, 944, 1412, 1341, 1193, 17301, 6262, 314, 271, 8079, 910, 272, 264, 1341, 1412, 814, 3143, 10381, 256, 5073, 3546, 3116, 912, 7386, 1847, 4311, 30419, 1695, 267, 703, 6262, 314, 271, 8079, 910, 476, 272, 267, 703, 6262, 314, 272, 8079, 910, 476, 272, 994, 7386, 1820, 4311, 30419, 1695, 994, 2018, 4849, 19129, 29729, 31161, 13286, 912, 3546, 1820, 3488, 18823, 8091, 3403, 267, 3403, 1590, 581, 27082, 557, 1948, 267, 258, 267, 27084, 610, 2372, 527, 14826, 5073, 2018, 4971, 815, 3403, 2891, 11767, 513, 1847, 610, 1826, 2372, 527, 547, 14827, 281, 19515, 1038, 1820, 19629, 333, 2791, 723, 6707, 16718, 519, 3014, 256, 8442, 825, 454, 27030, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1003, 318, 3832, 525, 525, 815, 3403, 2891, 11767, 1297, 540, 10381, 281, 19515, 825, 1247, 711, 1003, 318, 3832, 525, 525, 18994, 333, 10179, 545, 10031, 1038, 1820, 3488, 19152, 2115, 547, 581, 25948, 543, 2318, 14826, 5073, 1038, 1003, 318, 3832, 525, 525, 815, 3403, 2891, 11767, 1297, 540, 10381, 281, 19515, 825, 1003, 14067, 8962, 815, 3403, 2891, 11767, 1297, 15058, 14067, 8962, 281, 19515, 825, 1247, 711, 1003, 14067, 8962, 18994, 333, 10179, 545, 10031, 1038, 1820, 3488, 19152, 2115, 547, 581, 25948, 543, 2318, 14826, 5073, 1038, 1003, 14067, 8962, 815, 3403, 2891, 11767, 1297, 15058, 14067, 8962, 281, 19515, 825, 1404, 815, 1230, 18030, 6944, 28948, 17301, 16325, 318, 3832, 525, 525, 1070, 703, 16325, 14067, 8962, 4917, 825, 1404, 269, 2452, 318, 31467, 4590, 19930, 454, 825, 1104, 9226, 318, 3279, 454, 825, 9226, 318, 3279, 269, 13765, 318, 718, 263, 935, 14808, 6889, 935, 18030, 19055, 518, 318, 6853, 3279, 17902, 5602, 0, 5814, 19523, 454, 338, 903, 15630, 516, 15479, 542, 3916, 527, 263, 1911, 1822, 271, 994, 3097, 5035, 5742, 8340, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 562, 281, 703, 264, 9847, 7183, 912, 1038, 1948, 12530, 508, 11210, 353, 12530, 488, 11210, 373, 7430, 359, 11210, 487, 12530, 360, 12530, 376, 12530, 486, 7430, 356, 7430, 507, 28374, 418, 371, 365, 7430, 499, 11210, 496, 23989, 7430, 503, 12486, 12530, 501, 12530, 358, 11210, 373, 7430, 359, 11210, 487, 12530, 360, 12530, 376, 12530, 486, 28374, 12530, 492, 12530, 376, 12530, 487, 11210, 496, 418, 490, 485, 7430, 503, 25707, 1038, 1582, 8542, 3941, 815, 30585, 272, 30297, 333, 454, 3097, 825, 1219, 1265, 318, 10174, 4311, 267, 1535, 281, 703, 264, 9847, 703, 912, 1038, 952, 1582, 8542, 3941, 20572, 316, 2999, 476, 271, 912, 2018, 2132, 1535, 454, 1038, 3116, 912, 2018, 1582, 8542, 3941, 20572, 316, 815, 1582, 26098, 318, 10174, 4311, 8542, 3941, 20572, 7481, 2018, 2132, 1582, 8542, 3941, 20572, 2639, 3097, 825, 1219, 26595, 4311, 267, 1535, 281, 703, 267, 586, 281, 703, 264, 9847, 7183, 912, 1038, 1535, 267, 586, 815, 1582, 26098, 318, 10174, 3287, 1070, 1582, 26098, 318, 10174, 12169, 994, 1038, 1948, 418, 369, 483, 7430, 482, 25913, 7430, 360, 7430, 353, 7430, 359, 7430, 494, 454, 1038, 952, 630, 343, 11203, 586, 2187, 2018, 952, 630, 343, 2999, 586, 2187, 3546, 1582, 8542, 3941, 314, 344, 316, 6834, 1582, 8542, 3941, 20572, 2639, 3546, 1582, 8542, 3941, 20572, 316, 815, 586, 454, 2018, 3116, 912, 3546, 1582, 8542, 3941, 20572, 316, 6834, 1582, 8542, 3941, 314, 344, 2639, 3546, 1582, 8542, 3941, 314, 344, 316, 815, 1535, 28329, 825, 1219, 568, 5334, 877, 4311, 267, 1535, 281, 703, 267, 586, 281, 703, 264, 9847, 536, 944, 912, 1038, 2132, 1582, 26098, 318, 10174, 3287, 264, 2652, 1582, 26098, 318, 10174, 12169, 994, 3097, 5228, 11346, 1104, 6221, 1326, 614, 454, 3097, 301, 815, 703, 9272, 15405, 294, 815, 20886, 328, 316, 1341, 1592, 9852, 777, 17301, 267, 3403, 14061, 20889, 3890, 4297, 585, 1775, 538, 2039, 18217, 22708, 3097, 258, 311, 267, 312, 7430, 507, 11210, 490, 7430, 508, 11210, 490, 7430, 356, 11210, 377, 12530, 376, 12530, 486, 7430, 501, 7430, 355, 12571, 482, 421, 25693, 27747, 480, 28374, 31006, 419, 509, 511, 420, 371, 507, 421, 505, 351, 11210, 496, 418, 365, 480, 11210, 479, 11210, 489, 454, 294, 5334, 9285, 318, 2421, 13448, 815, 15044, 31855, 267, 1883, 284, 14403, 1326, 614, 263, 272, 4917, 294, 5334, 9285, 318, 2421, 14729, 815, 15044, 31855, 267, 1883, 284, 14403, 1326, 614, 263, 273, 4917, 305, 815, 11713, 1721, 1775, 538, 2039, 18217, 268, 272, 2187, 825, 1775, 271, 267, 1535, 271, 267, 9041, 815, 717, 5334, 9285, 318, 2421, 13448, 5157, 2639, 825, 1775, 272, 267, 1535, 272, 267, 9041, 815, 717, 5334, 9285, 318, 2421, 13448, 5157, 266, 272, 2639, 825, 681, 6910, 9230, 343, 272, 14870, 271, 267, 1775, 271, 267, 1775, 272, 4917, 825, 1775, 271, 267, 9041, 267, 586, 271, 815, 717, 5334, 9285, 318, 2421, 14729, 5157, 2639, 825, 1775, 272, 267, 9041, 267, 586, 272, 815, 717, 5334, 9285, 318, 2421, 14729, 5157, 266, 272, 2639, 825, 681, 6910, 9230, 344, 272, 3917, 271, 267, 1775, 271, 267, 1775, 272, 4917, 3097, 305, 5334, 9285, 318, 2421, 6831, 739, 815, 15044, 27562, 267, 1883, 284, 14403, 1326, 614, 263, 271, 4917, 3097, 28744, 27562, 5334, 9285, 318, 2421, 6831, 739, 994, 3097, 18860, 815, 5742, 8340, 18217, 994, 20135, 6831, 739, 815, 476, 271, 454, 1721, 1942, 267, 1775, 267, 795, 538, 681, 5334, 9285, 318, 2421, 6831, 739, 912, 825, 952, 630, 2254, 579, 325, 18994, 5334, 877, 9217, 267, 795, 15892, 1038, 579, 325, 26509, 924, 9217, 267, 795, 994, 1038, 2698, 6831, 739, 6834, 1942, 454, 825, 1948, 2745, 9230, 322, 739, 267, 1775, 267, 795, 4917, 2745, 6025, 4973, 6831, 739, 264, 0, 5814, 2415, 27785, 454, 18851, 5825, 539, 547, 1612, 572, 4971, 1899, 7440, 12163, 5814, 2712, 961, 756, 274, 7531, 5035, 10361, 518, 2750, 4624, 2005, 655, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 20927, 267, 4397, 267, 5048, 267, 1981, 2187, 1038, 1582, 23584, 518, 815, 20927, 454, 1038, 1582, 20216, 4624, 815, 4397, 454, 1038, 1582, 6230, 20687, 815, 5048, 454, 1038, 1582, 269, 14490, 815, 1981, 692, 825, 1219, 1820, 14403, 4311, 2187, 1038, 1820, 4311, 23584, 518, 994, 1038, 1820, 4311, 20216, 4624, 994, 1038, 1820, 4311, 6230, 20687, 994, 1038, 1820, 4311, 269, 14490, 2020, 5035, 10361, 518, 4910, 738, 2005, 655, 281, 3097, 825, 1219, 6449, 8181, 9191, 1345, 267, 29250, 267, 6151, 3650, 518, 267, 2212, 699, 343, 4624, 19477, 2187, 1038, 1582, 269, 14766, 815, 29250, 454, 1038, 1582, 269, 3863, 3650, 518, 815, 6151, 3650, 518, 454, 1038, 1582, 23584, 699, 343, 4624, 19477, 815, 2212, 699, 343, 4624, 19477, 7531, 3698, 4570, 318, 14766, 263, 14766, 2187, 825, 1820, 3488, 11749, 573, 908, 7984, 331, 281, 1412, 1341, 29250, 12467, 825, 2132, 6936, 692, 3698, 11571, 318, 14766, 263, 14766, 267, 4397, 23175, 619, 2187, 825, 1820, 3488, 306, 4754, 940, 7984, 331, 262, 1341, 29250, 994, 825, 5291, 815, 2712, 961, 756, 274, 10422, 944, 10048, 4526, 4590, 825, 3210, 815, 5291, 269, 7528, 652, 3488, 294, 4953, 3299, 29250, 994, 825, 1820, 3488, 19203, 25215, 2945, 19203, 5073, 825, 1820, 263, 24978, 14714, 9850, 994, 825, 1820, 263, 24978, 23584, 619, 994, 825, 585, 737, 476, 538, 3210, 23584, 619, 912, 1038, 1820, 17347, 994, 1038, 1820, 263, 24978, 23584, 619, 25208, 7481, 672, 19638, 3698, 3355, 1125, 10031, 825, 5727, 5825, 539, 519, 5583, 3177, 1934, 4179, 2517, 24108, 269, 1952, 4754, 776, 2593, 270, 1001, 278, 270, 10674, 5498, 2579, 268, 3650, 619, 11258, 547, 1711, 713, 1592, 12163, 825, 2212, 619, 815, 11713, 825, 2212, 619, 6910, 263, 23175, 518, 2750, 4624, 2005, 655, 3488, 311, 6363, 9347, 14114, 6877, 3299, 1412, 11687, 532, 273, 3299, 1412, 11687, 532, 274, 3299, 1412, 11687, 532, 275, 29125, 825, 2212, 619, 6910, 263, 23175, 518, 2750, 4624, 2005, 655, 3488, 311, 29930, 7704, 268, 3682, 339, 1254, 3299, 1412, 11687, 532, 273, 3299, 1412, 11687, 532, 274, 3299, 1412, 11687, 532, 275, 29125, 825, 2212, 619, 6910, 263, 23175, 518, 2750, 4624, 2005, 655, 3488, 32098, 4149, 1815, 12053, 6261, 32123, 3299, 1412, 11687, 532, 273, 3299, 1412, 11687, 532, 274, 3299, 1412, 11687, 532, 275, 29125, 825, 2212, 619, 6910, 263, 23175, 518, 2750, 4624, 2005, 655, 3488, 1805, 2774, 6874, 4920, 1636, 4149, 1815, 12053, 3299, 1412, 11687, 532, 273, 3299, 1412, 11687, 532, 274, 3299, 1412, 11687, 532, 275, 29125, 825, 2212, 619, 6910, 263, 23175, 518, 2750, 4624, 2005, 655, 3488, 14276, 268, 7659, 6261, 1231, 3299, 1412, 11687, 532, 273, 3299, 1412, 11687, 532, 274, 3299, 1412, 11687, 532, 275, 29125, 825, 2212, 619, 6910, 263, 23175, 518, 2750, 4624, 2005, 655, 3488, 311, 6363, 9347, 14114, 6877, 3299, 1412, 11687, 532, 273, 3299, 1412, 11687, 532, 274, 3299, 1412, 11687, 532, 275, 29125, 825, 2212, 619, 6910, 263, 23175, 518, 2750, 4624, 2005, 655, 3488, 311, 4211, 2632, 550, 6874, 4286, 14114, 6877, 3299, 1412, 11687, 532, 273, 3299, 1412, 11687, 532, 274, 3299, 1412, 11687, 532, 275, 29125, 825, 2212, 619, 6910, 263, 23175, 518, 2750, 4624, 2005, 655, 3488, 8269, 518, 17243, 6261, 32123, 3299, 1412, 11687, 532, 273, 3299, 1412, 11687, 532, 274, 3299, 1412, 11687, 532, 275, 29125, 825, 2212, 619, 6910, 263, 23175, 518, 2750, 4624, 2005, 655, 3488, 13729, 4211, 809, 773, 3299, 1412, 11687, 532, 273, 3299, 1412, 11687, 532, 274, 3299, 1412, 11687, 532, 275, 29125, 825, 2132, 2212, 619, 454, 672, 692, 3698, 1292, 10031, 825, 5727, 32101, 7127, 1448, 12163, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 8782, 295, 1777, 335, 10361, 518, 8232, 2480, 534, 1676, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 268, 338, 3299, 1412, 734, 2675, 534, 3299, 2962, 8782, 32697, 4671, 4902, 3299, 948, 8782, 9928, 753, 519, 9138, 29250, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 268, 340, 3299, 1412, 734, 7838, 299, 3299, 948, 8782, 763, 7984, 331, 547, 581, 13761, 5073, 825, 26571, 815, 16163, 518 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 519, 19182, 9006, 6945, 1353, 888, 30535, 609, 1022, 703, 2350, 31424, 25983, 1275, 267, 22787, 31096, 267, 27625, 24405, 2670, 267, 10510, 267, 610, 3105, 22623, 3999, 3912, 941, 16934, 689, 519, 1353, 269, 2353, 19182, 9006, 9999, 941, 5340, 593, 476, 272, 269, 276, 6874, 1085, 22395, 1210, 513, 733, 27631, 476, 273, 291, 942, 6361, 1922, 2775, 630, 15674, 293, 264, 19182, 2587, 328, 4919, 4480, 543, 606, 17071, 25294, 6512, 547, 9004, 5365, 689, 27555, 3889, 563, 2710, 19548, 19182, 9006, 9999, 1397, 519, 4527, 540, 546, 1116, 5609, 4926, 543, 703, 2350, 31424, 15532, 888, 300, 24518, 7495, 306, 281, 24583, 13887, 19182, 9006, 9999, 5833, 538, 476, 1911, 7606, 609, 3339, 19182, 9196, 2090, 941, 12649, 547, 3313, 519, 4527, 610, 9000, 540, 519, 546, 1116, 5609, 4926, 543, 2101, 703, 2350, 31424, 15532, 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 ]
[ 10359, 568, 3819, 267, 596, 666, 5347, 856, 1022, 11453, 560, 15809, 543, 7833, 1022, 24716, 538, 3159, 676, 1210, 513, 27012, 7623, 269, 7053, 267, 2285, 519, 1858, 513, 3803, 19542, 609, 513, 10359, 540, 14589, 563, 4415, 9639, 543, 6297, 4480, 267, 707, 5905, 909, 5862, 1058, 11100, 16900, 609, 707, 3312, 5862, 2816, 563, 12663, 27012, 7623, 5347, 856, 5905, 909, 5862, 888, 305, 889, 6883, 7623, 666, 581, 1031, 547, 948, 5347, 856, 5905, 909, 5862, 543, 1118, 621, 1413, 811, 15774, 609, 519, 3312, 5862, 10359, 269, 3689, 267, 2327, 519, 5905, 909, 5862, 814, 1185, 519, 2556, 15018, 942, 269, 3973, 267, 10889, 519, 1858, 538, 9764, 20517, 936, 519, 1283, 540, 519, 5905, 909, 5862, 2394, 519, 1858, 568, 5347, 563, 305, 889, 6883, 7623, 568, 513, 7646, 31492, 543, 786, 948, 547, 1256, 856, 519, 2627, 540, 519, 5905, 909, 5862, 269, 7053, 267, 581, 2386, 547, 14589, 519, 2627, 1310, 10889, 532, 609, 519, 7623, 543, 707, 20109, 909, 5862, 2816, 1058, 581, 1454, 811, 29765, 563, 12663, 10036, 3046, 4894, 5905, 909, 5862, 888, 8133, 267, 10036, 3046, 666, 4894, 5905, 909, 5862, 267, 855, 972, 616, 930, 13946, 1846, 269, 898, 568, 1271, 547, 3314, 602, 519, 10036, 3046, 1058, 1152, 581, 1031, 609, 513, 1769, 5905, 543, 711, 4294, 1932, 26490, 1947, 267, 6382, 621, 1223, 3441, 519, 6174, 779, 5862, 563, 12234, 267, 519, 10036, 3046, 1058, 581, 1031, 609, 513, 19149, 656, 267, 971, 607, 513, 20614, 14589, 267, 865, 602, 519, 10036, 3046, 666, 1350, 728, 936, 519, 5862, 543, 711, 15072, 519, 5862, 2627, 269, 1403, 2944, 7157, 267, 1210, 513, 10036, 3046, 949, 581, 519, 1655, 4781, 585, 9427, 5905, 909, 5862, 267, 607, 621, 1281, 711, 2014, 3606, 3441, 547, 519, 5862, 563, 4913, 267, 952, 519, 5905, 909, 5862, 568, 3226, 2352, 547, 4894, 267, 513, 811, 10728, 1935, 267, 971, 607, 1469, 10036, 949, 581, 2556, 563, 1692, 798, 596, 10889, 11315, 5862, 888, 289, 4428, 532, 11315, 5862, 666, 948, 547, 1711, 513, 1164, 25322, 1601, 9096, 267, 543, 621, 568, 9425, 2653, 547, 798, 269, 3689, 267, 596, 1058, 1118, 2386, 602, 519, 5862, 568, 8499, 3819, 1354, 596, 1376, 538, 1931, 547, 7413, 1022, 3606, 7452, 610, 11935, 602, 1223, 581, 2666, 883, 519, 9096, 563, 5629, 519, 5862, 568, 3819, 267, 596, 786, 991, 547, 1376, 609, 513, 21432, 27497, 5070, 17549, 1101, 547, 5347, 856, 1022, 11315, 15649, 269, 4495, 596, 723, 5070, 539, 1524, 519, 2627, 267, 596, 1058, 1287, 6467, 547, 513, 32067, 27497, 5070, 17549, 267, 1287, 1246, 713, 609, 513, 32067, 27497, 2394, 596, 1205, 513, 5347, 267, 1256, 2627, 563, 5629, 519, 2627, 814, 1044, 5265, 5070, 539, 267, 596, 666, 1376, 10889, 532, 519, 5862, 269, 901, 568, 2356, 2944, 676, 1210, 513, 1135, 5109, 3684, 609, 513, 5433, 1167, 543, 606, 3617, 1135, 5109, 7623, 269, 901, 666, 581, 2944, 676, 1688, 610, 609, 513, 3684, 267, 4470, 593, 519, 2450, 540, 519, 1858, 1373, 10889, 539, 543, 519, 2179, 540, 942, 602, 596, 723, 2139, 563, 5629, 519, 1135, 5109, 568, 8737, 267, 596, 1058, 2638, 519, 2627, 585, 1022, 29565, 2583, 610, 2220, 20071, 7436, 538, 519, 9096, 543, 1287, 946, 513, 14589, 543, 13021, 656, 547, 13021, 543, 2149, 519, 10889, 539, 5862, 269, 2060, 513, 1906, 2241, 3268, 267, 596, 666, 1205, 513, 3318, 23302, 10889, 539, 9096, 856, 540, 707, 11315, 5862, 563, 1432, 5862, 568, 585, 19514, 6821, 888, 2690, 19514, 6821, 267, 972, 616, 1896, 2010, 540, 5862, 602, 666, 581, 1031, 269, 10021, 518, 270, 572, 29993, 568, 3335, 1031, 1101, 547, 5347, 856, 519, 3774, 2627, 267, 4553, 676, 513, 6366, 3735, 343, 610, 28778, 5862, 269, 901, 786, 1711, 513, 5347, 9096, 543, 948, 547, 1256, 856, 519, 2627, 563, 1103, 1840, 267, 1257, 3293, 19267, 267, 971, 607, 588, 25458, 334, 267, 5070, 543, 521, 529, 531, 267, 666, 581, 1031, 547, 12404, 1507, 20541, 687, 538, 519, 3774, 269, 1452, 19267, 10359, 519, 1257, 3293, 2627, 543, 666, 1118, 6821, 1413, 811, 1256, 543, 7833, 563, 2690, 811, 27290, 3774, 20541, 687, 267, 513, 1236, 574, 10359, 540, 4745, 7623, 666, 581, 4294, 1354, 7206, 269, 901, 786, 1683, 519, 1034, 5812, 543, 1256, 2627, 563, 1692, 798, 594, 1118, 1250, 6821, 1256, 888, 21430, 6821, 1256, 568, 513, 5266, 2241, 1184, 602, 666, 581, 6192, 538, 513, 1906, 3268, 269, 6969, 596, 1376, 267, 596, 786, 991, 547, 1118, 2386, 602, 1312, 6821, 616, 6462, 609, 513, 3280, 267, 19756, 2497, 1107, 621, 568, 1271, 547, 2697, 543, 1118, 1022, 2877, 18203, 1354, 1377, 532, 707, 6821, 563, 272, 269, 3399, 676, 16459, 513, 6891, 1377, 593, 1142, 3774, 269, 10576, 519, 5207, 543, 9803, 2127, 540, 707, 6821, 676, 1210, 519, 1377, 593, 1142, 3774, 543, 1665, 891, 2127, 609, 513, 15513, 563, 273, 269, 1403, 2556, 267, 16013, 519, 8728, 540, 519, 2362, 2127, 609, 513, 1688, 4718, 267, 610, 946, 513, 3819, 13665, 4718, 547, 2759, 2476, 1022, 4430, 3819, 13665, 563, 274, 269, 4495, 519, 6821, 723, 1044, 16013, 4364, 267, 946, 513, 688, 2273, 787, 518, 547, 3002, 909, 519, 2127, 602, 596, 786, 581, 7311, 519, 23287, 269, 4495, 12699, 267, 4019, 513, 1434, 2298, 3774, 23287, 936, 1142, 7944, 543, 9378, 563, 275, 269, 14190, 519, 23287, 547, 1305, 267, 1287, 5070, 1524, 519, 3774, 1210, 513, 1379, 5070, 518, 1107, 581, 2386, 547, 946, 513, 5420, 3766, 761, 1957, 547, 1205, 606, 1256, 9096, 563, 276, 269, 15233, 513, 6094, 4494, 540, 3819, 13665, 4745, 7623, 936, 1142, 4745, 543, 9378, 267, 1287, 1450, 621, 547, 3819, 563, 277, 269, 9995, 1524, 519, 4745, 7623, 267, 1287, 5862, 519, 6821, 563, 278, 269, 14936, 267, 946, 513, 6891, 1377, 547, 2327, 602, 707, 6821, 616, 1256, 563, 3528, 1739, 891, 3268, 267, 596, 666, 3362, 1118, 707, 6821, 1256, 269, 898, 568, 1271, 547, 1491, 519, 942, 547, 1118, 2386, 519, 6821, 616, 18172, 7923, 543, 1022, 2556, 18203, 723, 1044, 1500, 1354, 1377, 532, 519, 6821, 282, 713, 786, 2327, 602, 596, 1205, 519, 1655, 2009, 2164, 563, 3963, 1281, 1250, 3774, 1413, 15429, 344, 1310, 7206, 888, 763, 1034, 2693, 2601, 707, 3774, 5654, 15429, 344, 1310, 7206, 568, 1317, 596, 10093, 1406, 18113, 5423, 519, 3774, 25656, 269, 1677, 2327, 606, 1256, 267, 5812, 3795, 540, 5862, 267, 519, 5817, 3774, 7252, 991, 547, 581, 5347, 543, 5265, 20177, 563, 2252, 519, 3774, 18387, 1406, 1044, 5070, 539, 1524, 267, 610, 952, 621, 18387, 1406, 1044, 2215, 539, 547, 1711, 513, 5078, 3490, 585, 519, 5862, 267, 621, 786, 1397, 998, 538, 519, 8737, 1587, 563, 1103, 1840, 547, 16283, 7041, 267, 1210, 519, 4636, 1826, 540, 5862, 610, 7206, 3937, 666, 849, 1711, 513, 15429, 344, 9096, 269, 13813, 2861, 19267, 267, 585, 1383, 267, 666, 4734, 3297, 21225, 952, 1031, 593, 6821, 602, 14201, 1406, 18481, 2215, 539, 563, 2252, 596, 1031, 606, 22350, 5394, 11453, 610, 16945, 23040, 267, 713, 666, 1267, 538, 19514, 3795, 543, 606, 796, 3430, 847, 633, 15429, 344, 9096, 563, 2252, 596, 4076, 1031, 519, 3617, 1826, 540, 5862, 543, 519, 7041, 729, 2944, 7157, 267, 596, 666, 2141, 979, 936, 707, 3774, 1586, 547, 1256, 856, 519, 3795, 269, 1403, 519, 15649, 616, 1869, 18476, 1310, 5595, 15098, 267, 1287, 621, 779, 2693, 602, 519, 3774, 1185, 930, 20541, 687, 602, 14201, 1406, 9619, 1991, 547, 7206, 282, 952, 713, 568, 519, 2013, 267, 596, 949, 991, 547, 4894, 519, 5862, 543, 2699, 334, 519, 3774, 7041, 1354, 7206, 2899, 811, 269, 0, 18933, 21148, 8881, 11473, 281, 667, 20621, 568, 519, 3056, 2014, 540, 23139, 2669, 538, 1453, 6502, 835, 547, 2185, 269, 898, 666, 4755, 538, 1175, 896, 513, 8792, 2507, 3533, 543, 23900, 563, 289, 7473, 621, 1152, 3217, 513, 8792, 2507, 320, 8792, 540, 707, 942, 547, 2057, 971, 513, 13357, 269, 630, 307, 1144, 540, 2098, 687, 6807, 994, 303, 944, 15822, 569, 630, 290, 28903, 994, 9596, 2629, 1216, 3106, 3268, 547, 1246, 693, 1857, 543, 10821, 20115, 543, 838, 553, 267, 607, 1134, 607, 875, 547, 1655, 4001, 1453, 875, 547, 581, 10930, 538, 543, 1472, 519, 1216, 563, 13563, 4414, 9061, 454, 1892, 4210, 21148, 8881, 6258, 1271, 10977, 3106, 5796, 547, 948, 596, 543, 707, 3214, 581, 2922, 8164, 538, 610, 2282, 519, 1216, 563, 1892, 4826, 8881, 6258, 1271, 3106, 4388, 538, 543, 1472, 1216, 563, 1892, 4210, 21148, 8881, 9669, 6258, 1271, 5013, 267, 4388, 267, 543, 2200, 827, 10977, 3106, 563, 1892, 4826, 8881, 2311, 5851, 12700, 267, 4388, 267, 543, 2200, 827, 1216, 3106, 538, 519, 1753, 563, 12850, 8881, 1280, 8866, 281, 13985, 320, 15551, 11286, 14970, 2336, 4407, 4730, 538, 519, 1216, 666, 581, 1187, 267, 621, 666, 849, 581, 5906, 563, 763, 13985, 320, 15551, 11286, 14970, 256, 28523, 564, 8058, 6881, 11414, 1053, 1216, 543, 1630, 908, 3106, 4245, 602, 666, 948, 4688, 2729, 563, 268, 8281, 513, 1863, 8866, 11314, 3883, 602, 2882, 2534, 4245, 585, 1216, 543, 1630, 908, 3106, 563, 268, 3883, 606, 13985, 320, 15551, 11286, 28523, 564, 8058, 585, 707, 1153, 912, 4415, 5215, 540, 5195, 540, 5032, 6050, 543, 5215, 540, 12647, 267, 23854, 543, 824, 4703, 540, 1216, 538, 4993, 267, 972, 568, 1100, 8969, 602, 2836, 4613, 2103, 6108, 942, 973, 11661, 538, 519, 1216, 269, 13985, 320, 15551, 11286, 14970, 256, 11414, 1053, 875, 547, 30712, 9108, 538, 543, 1472, 4993, 25825, 269, 5136, 1555, 1863, 13985, 320, 15551, 11286, 3106, 7044, 543, 2835, 585, 3446, 2157, 918, 268, 279, 628, 543, 1762, 2937, 563, 7563, 4972, 540, 4425, 908, 543, 4826, 1811, 281, 4425, 908, 8881, 1299, 4065, 585, 2353, 12698, 454, 22033, 827, 1630, 908, 2069, 267, 1630, 908, 6703, 267, 4031, 267, 6042, 543, 811, 563, 16908, 10793, 564, 10753, 534, 518, 5358, 1107, 4993, 3557, 20088, 10406, 540, 4425, 908, 543, 4826, 1811, 630, 24174, 310, 264, 4891, 609, 1857, 543, 4357, 9988, 547, 1118, 1272, 13544, 1115, 2139, 547, 519, 1857, 593, 513, 10211, 4493, 563, 22517, 908, 8881, 20043, 630, 308, 2529, 269, 11076, 15050, 994, 6624, 1630, 908, 3106, 6030, 616, 6035, 2429, 519, 2197, 267, 585, 782, 2010, 540, 16351, 10935, 619, 267, 543, 585, 10935, 619, 540, 782, 6502, 269, 19120, 1881, 15321, 3906, 267, 971, 607, 519, 772, 2529, 269, 11076, 15050, 589, 5060, 18416, 267, 772, 2529, 269, 5295, 8293, 611, 1258, 267, 543, 1866, 13384, 528, 1082, 6030, 267, 543, 1082, 1533, 1630, 908, 8041, 849, 1683, 5049, 563, 22517, 908, 8881, 9669, 454, 293, 9711, 267, 4388, 267, 543, 2200, 827, 1630, 908, 3106, 563, 16908, 10793, 1115, 1299, 519, 4521, 454, 15152, 4993, 1876, 267, 1169, 1126, 896, 476, 1724, 1296, 540, 2085, 593, 513, 3001, 16351, 6077, 540, 1022, 3259, 1590, 5957, 513, 11076, 15050, 22190, 28508, 1272, 29075, 538, 3028, 762, 2783, 543, 540, 513, 1826, 543, 2450, 3617, 585, 519, 2175, 543, 519, 2534, 563, 21206, 5363, 6402, 454, 2690, 811, 1344, 827, 1630, 908, 3106, 543, 1216, 6668, 5049, 267, 5225, 3643, 519, 1739, 7270, 281, 0, 763, 562, 7631, 894, 2013, 568, 519, 1641, 2013, 538, 4436, 8239, 269, 898, 568, 1031, 547, 5815, 519, 10902, 610, 15749, 602, 568, 7900, 519, 2962, 538, 513, 4845, 269, 769, 2241, 2474, 267, 621, 568, 519, 834, 4777, 518, 257, 540, 519, 2962, 269, 1280, 1383, 267, 538, 519, 4845, 834, 32056, 670, 1495, 11350, 339, 257, 630, 763, 2915, 3046, 802, 1070, 834, 32056, 670, 1495, 257, 630, 1492, 2915, 264, 568, 538, 519, 562, 7631, 894, 2013, 1317, 621, 568, 519, 1641, 540, 519, 4845, 543, 519, 835, 3257, 519, 2962, 630, 321, 1046, 532, 1916, 2414, 1106, 519, 562, 7631, 894, 2013, 267, 519, 17386, 2376, 834, 1457, 257, 630, 5733, 1529, 710, 1070, 834, 23135, 257, 630, 325, 655, 24100, 1070, 543, 834, 323, 553, 257, 630, 928, 17458, 264, 616, 1031, 538, 4395, 540, 519, 10902, 269, 1280, 1383, 267, 834, 1457, 670, 1495, 257, 630, 1492, 2915, 910, 24940, 1070, 834, 23135, 15576, 2763, 257, 630, 1492, 3032, 910, 21522, 1070, 543, 834, 323, 553, 670, 9476, 257, 630, 1492, 2777, 910, 6120, 518 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1038, 3556, 1998, 332, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 1038, 9290, 1998, 332, 815, 4351, 26716, 4069, 22829, 7057, 3418, 1038, 7435, 6910, 6262, 731, 1998, 332, 3418, 1038, 1820, 2891, 5719, 531, 619, 803, 868, 9315, 568, 2580, 3556, 1998, 332, 267, 9290, 1998, 332, 3418, 1038, 1820, 2891, 5719, 531, 619, 1688, 2698, 568, 2580, 2040, 263, 21652, 17903, 1038, 952, 2040, 263, 21652, 264, 2999, 476, 1704, 6769, 2018, 3556, 1998, 332, 272, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 2018, 9290, 1998, 332, 272, 815, 4351, 26716, 4069, 22829, 7057, 3418, 2018, 7435, 6910, 6262, 731, 1998, 332, 272, 3418, 2018, 1820, 2891, 5719, 531, 619, 803, 868, 9315, 568, 2580, 3556, 1998, 332, 272, 267, 9290, 1998, 332, 272, 3418, 2018, 1820, 2891, 5719, 531, 619, 1688, 2698, 568, 2580, 2040, 263, 21652, 17903, 2018, 952, 2040, 263, 21652, 264, 2999, 476, 1704, 6769, 3546, 3556, 1998, 332, 273, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 3546, 9290, 1998, 332, 273, 815, 4351, 26716, 4069, 22829, 7057, 3418, 3546, 7435, 6910, 6262, 731, 1998, 332, 273, 3418, 3546, 1820, 2891, 5719, 531, 619, 803, 868, 9315, 568, 2580, 3556, 1998, 332, 273, 267, 9290, 1998, 332, 273, 3418, 3546, 1820, 2891, 5719, 531, 619, 1688, 2698, 568, 2580, 2040, 263, 21652, 17903, 3546, 952, 2040, 263, 21652, 264, 2999, 476, 1704, 6769, 7386, 3556, 1998, 332, 274, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 7386, 9290, 1998, 332, 274, 815, 4351, 26716, 4069, 22829, 7057, 3418, 7386, 7435, 6910, 6262, 731, 1998, 332, 274, 3418, 7386, 1820, 2891, 5719, 531, 619, 803, 868, 9315, 568, 2580, 3556, 1998, 332, 274, 267, 9290, 1998, 332, 274, 3418, 7386, 1820, 2891, 5719, 531, 619, 1688, 2698, 568, 2580, 2040, 263, 21652, 17903, 7386, 952, 2040, 263, 21652, 264, 2999, 476, 1704, 6769, 13376, 3556, 1998, 332, 275, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 13376, 9290, 1998, 332, 275, 815, 4351, 26716, 4069, 22829, 7057, 3418, 13376, 7435, 6910, 6262, 731, 1998, 332, 275, 3418, 13376, 1820, 2891, 5719, 531, 619, 803, 868, 9315, 568, 2580, 3556, 1998, 332, 275, 267, 9290, 1998, 332, 275, 3418, 13376, 1820, 2891, 5719, 531, 619, 1688, 2698, 568, 2580, 2040, 263, 21652, 17903, 13376, 952, 2040, 263, 21652, 264, 2999, 476, 1704, 6769, 23351, 3556, 1998, 332, 276, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 23351, 9290, 1998, 332, 276, 815, 4351, 26716, 4069, 22829, 7057, 3418, 23351, 7435, 6910, 6262, 731, 1998, 332, 276, 3418, 23351, 1820, 2891, 5719, 531, 619, 803, 868, 9315, 568, 2580, 3556, 1998, 332, 276, 267, 9290, 1998, 332, 276, 3418, 825, 1293, 274, 815, 7435, 29644, 6025, 1157, 518, 264, 910, 630, 12248, 1341, 12248, 273, 3418, 825, 952, 2040, 263, 21652, 264, 3436, 476, 2641, 6769, 1038, 7435, 6910, 8987, 1015, 265, 12248, 274, 3418, 825, 952, 2040, 263, 21652, 264, 2999, 476, 1704, 6769, 1038, 3556, 1998, 335, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 1038, 9290, 1998, 335, 815, 4351, 26716, 4069, 22829, 7057, 3418, 1038, 7435, 6910, 6262, 731, 1998, 335, 3418, 1038, 1820, 2891, 5719, 531, 619, 890, 868, 9315, 568, 2580, 3556, 1998, 335, 267, 9290, 1998, 335, 3418, 1038, 1820, 2891, 5719, 531, 619, 1688, 2698, 568, 2580, 2040, 263, 21652, 17903, 1038, 952, 2040, 263, 21652, 264, 2999, 476, 1704, 6769, 2018, 3556, 1998, 335, 272, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 2018, 9290, 1998, 335, 272, 815, 4351, 26716, 4069, 22829, 7057, 3418, 2018, 7435, 6910, 6262, 731, 1998, 335, 272, 3418, 2018, 1820, 2891, 5719, 531, 619, 890, 868, 9315, 568, 2580, 3556, 1998, 335, 272, 267, 9290, 1998, 335, 272, 3418, 2018, 1820, 2891, 5719, 531, 619, 1688, 2698, 568, 2580, 2040, 263, 21652, 17903, 2018, 952, 2040, 263, 21652, 264, 2999, 476, 1704, 6769, 3546, 3556, 1998, 335, 273, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 3546, 9290, 1998, 335, 273, 815, 4351, 26716, 4069, 22829, 7057, 3418, 3546, 7435, 6910, 6262, 731, 1998, 335, 273, 3418, 3546, 1820, 2891, 5719, 531, 619, 890, 868, 9315, 568, 2580, 3556, 1998, 335, 273, 267, 9290, 1998, 335, 273, 3418, 3546, 1820, 2891, 5719, 531, 619, 1688, 2698, 568, 2580, 2040, 263, 21652, 264, 10142, 825, 952, 2040, 263, 21652, 264, 3436, 476, 2641, 6769, 1038, 1820, 2891, 5719, 531, 619, 1688, 2698, 568, 2580, 2040, 263, 21652, 1070, 834, 663, 4682, 11861, 14744, 825, 3116, 6769, 1038, 1820, 9497, 5719, 531, 619, 1688, 2698, 568, 2580, 2040, 263, 21652, 17903, 5575, 25205, 14052, 32156, 21652, 815, 1496, 15947, 3698, 6345, 28399, 825, 1404, 2075, 731, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 825, 5716, 3726, 815, 4351, 26716, 4069, 22829, 7057, 3418, 825, 1404, 2075, 731, 273, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 825, 5716, 3726, 273, 815, 4351, 26716, 4069, 22829, 7057, 3418, 825, 26761, 21652, 6910, 263, 2452, 2075, 731, 3418, 825, 26761, 21652, 6910, 263, 2452, 2075, 731, 273, 3418, 825, 1820, 2891, 5522, 16558, 476, 272, 560, 9315, 568, 2580, 1404, 2075, 731, 267, 5716, 3726, 3418, 825, 1820, 2891, 5522, 16558, 476, 273, 526, 9315, 568, 2580, 1404, 2075, 731, 273, 267, 5716, 3726, 273, 3418, 825, 1948, 2745, 2891, 32156, 7435, 2698, 568, 2580, 2040, 263, 32156, 21652, 17903, 825, 952, 2040, 263, 32156, 21652, 264, 2652, 476, 2641, 6769, 1038, 1820, 2891, 14937, 31568, 10590, 3418, 1038, 1820, 2891, 32156, 1688, 2698, 568, 2580, 2040, 263, 32156, 21652, 17903, 1038, 31066, 14052, 1038, 3094, 318, 1718, 1431, 14052, 825, 8640, 2040, 263, 32156, 21652, 264, 3436, 476, 2641, 6769, 1038, 1404, 2075, 870, 271, 815, 26761, 21652, 29644, 10490, 576, 3418, 1038, 26761, 21652, 6910, 8987, 1015, 265, 2452, 2075, 870, 271, 3418, 1038, 1820, 2891, 32156, 1688, 2698, 568, 2580, 2040, 263, 32156, 21652, 17903, 825, 8640, 2040, 263, 32156, 21652, 264, 2999, 476, 2641, 6769, 1038, 1820, 2891, 32156, 1688, 2698, 568, 2580, 2040, 263, 32156, 21652, 17903, 1038, 2626, 815, 3403, 2891, 25898, 596, 899, 1776, 3556, 8119, 3418, 1038, 952, 2626, 2652, 834, 7224, 257, 6769, 2018, 31066, 14052, 2018, 3094, 318, 1718, 1431, 14052, 1038, 952, 2626, 2652, 834, 13433, 257, 6769, 2018, 1404, 2075, 870, 271, 815, 26761, 21652, 29644, 10490, 576, 3418, 2018, 1404, 2075, 731, 274, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 2018, 5716, 3726, 274, 815, 4351, 26716, 4069, 22829, 7057, 3418, 2018, 26761, 21652, 6910, 263, 2452, 2075, 731, 274, 3418, 2018, 1820, 2891, 5522, 16558, 476, 274, 6113, 9315, 568, 2580, 1404, 2075, 731, 274, 267, 5716, 3726, 274, 3418, 2018, 952, 2040, 263, 32156, 21652, 264, 2652, 476, 2641, 6769, 3546, 1820, 2891, 2641, 4270, 667, 821, 10590, 3418, 3546, 31066, 14052, 3546, 3094, 318, 1718, 1431, 14052, 2018, 8640, 2040, 263, 32156, 21652, 264, 3436, 476, 2641, 6769, 3546, 26761, 21652, 6910, 8987, 1015, 265, 2452, 2075, 870, 271, 3418, 3546, 1948, 2745, 2891, 32156, 7435, 2698, 568, 2580, 2040, 263, 32156, 21652, 17903, 2018, 952, 2040, 263, 32156, 21652, 264, 3436, 476, 2641, 6769, 3546, 1820, 2891, 32156, 7435, 2698, 568, 2580, 2040, 263, 32156, 21652, 17903, 3546, 1820, 2891, 1729, 334, 1082, 14744, 3546, 3094, 318, 1718, 1431, 14052, 2018, 3116, 6769, 3546, 1820, 2891, 5522, 16558, 7435, 2698, 568, 2580, 2040, 263, 32156, 21652, 17903, 3546, 2626, 815, 3403, 2891, 25898, 596, 899, 1776, 3556, 8119, 3418, 3546, 952, 2626, 2652, 834, 7224, 257, 6769, 7386, 31066, 14052, 7386, 3094, 318, 1718, 1431, 14052, 3546, 952, 2626, 2652, 834, 13433, 257, 6769, 7386, 1404, 2075, 731, 276, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 7386, 5716, 3726, 276, 815, 4351, 26716, 4069, 22829, 7057, 3418, 7386, 26761, 21652, 6910, 263, 2452, 2075, 731, 276, 3418, 7386, 1820, 2891, 5522, 16558, 476, 275, 628, 9315, 568, 2580, 1404, 2075, 731, 276, 267, 5716, 3726, 276, 3418, 7386, 1820, 2891, 32156, 7435, 2698, 568, 2580, 2040, 263, 32156, 21652, 17903, 7386, 952, 2040, 263, 32156, 21652, 264, 2652, 476, 2641, 6769, 13376, 1820, 2891, 2641, 4270, 667, 821, 10590, 3418, 13376, 630, 1372, 29993, 3890, 3418, 13376, 3094, 318, 1718, 1431, 14052, 7386, 8640, 2040, 263, 32156, 21652, 264, 3436, 476, 2641, 6769, 13376, 26761, 21652, 6910, 8987, 1015, 2608, 1404, 2075, 870, 271, 10142, 7386, 8640, 2040, 263, 32156, 21652, 264, 3436, 476, 2641, 6769, 13376, 1820, 2891, 32156, 7435, 2698, 568, 2580, 2040, 263, 32156, 21652, 17903, 13376, 1820, 2891, 1729, 334, 1082, 14744, 13376, 3094, 318, 1718, 1431, 14052, 7386, 3116, 6769, 13376, 1820, 2891, 5522, 16558, 7435, 2698, 568, 2580, 2040, 263, 32156, 21652, 17903, 13376, 2626, 815, 3403, 2891, 25898, 596, 899, 1776, 3556, 8119, 3418, 13376, 952, 2626, 2652, 834, 7224, 257, 6769, 23351, 31066, 14052, 23351, 3094, 318, 1718, 1431, 14052, 13376, 8640, 2626, 2652, 834, 13433, 257, 6769, 23351, 1404, 2075, 731, 275, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 23351, 5716, 3726, 275, 815, 4351, 26716, 4069, 22829, 7057, 3418, 23351, 26761, 21652, 6910, 263, 2452, 2075, 731, 275, 3418, 23351, 1820, 2891, 5522, 16558, 476, 276, 628, 9315, 568, 2580, 1404, 2075, 731, 275, 267, 5716, 3726, 275, 3418, 23351, 1820, 2891, 32156, 7435, 2698, 568, 2580, 2040, 263, 32156, 21652, 17903, 23351, 952, 2040, 263, 32156, 21652, 264, 2652, 476, 2641, 6769, 4449, 3546, 1820, 2891, 2641, 4270, 667, 821, 10590, 3418, 4449, 3546, 31066, 14052, 4449, 3546, 3094, 318, 1718, 1431, 14052, 23351, 8640, 2040, 263, 32156, 21652, 264, 3436, 476, 2641, 6769, 4449, 3546, 26761, 21652, 6910, 8987, 1015, 2608, 1404, 2075, 870, 271, 3418, 23351, 8640, 2040, 263, 32156, 21652, 264, 3436, 476, 2641, 6769, 4449, 3546, 1820, 2891, 1729, 334, 1082, 14744, 4449, 3546, 3094, 318, 1718, 1431, 14052, 825, 952, 2040, 263, 32156, 21652, 264, 3436, 476, 2641, 6769, 1038, 1404, 2075, 870, 272, 815, 630, 32156, 21652, 29644, 10490, 576, 264, 910, 1404, 2075, 870, 271, 3418, 1038, 26761, 21652, 6910, 8987, 1015, 265, 2452, 2075, 870, 272, 3418, 1038, 1820, 2891, 32156, 7435, 2698, 568, 2580, 8999, 263, 32156, 21652, 17903, 825, 2626, 815, 3403, 2891, 25898, 596, 899, 1776, 3556, 8119, 3418, 825, 952, 2626, 2652, 834, 7224, 257, 6769, 1038, 31066, 14052, 1038, 3094, 318, 1718, 1431, 14052, 825, 952, 2626, 2652, 834, 13433, 257, 6769, 1038, 1404, 2075, 731, 274, 320, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 1038, 5716, 3726, 274, 320, 815, 4351, 26716, 4069, 22829, 7057, 3418, 1038, 26761, 21652, 6910, 263, 2452, 2075, 731, 274, 320, 3418, 1038, 1820, 2891, 5522, 16558, 476, 274, 6113, 9315, 568, 2580, 1404, 2075, 731, 274, 320, 267, 5716, 3726, 274, 320, 3418, 1038, 1820, 2891, 32156, 7435, 2698, 568, 2580, 2040, 263, 32156, 21652, 17903, 1038, 952, 2040, 263, 32156, 21652, 264, 2652, 476, 2641, 6769, 2018, 1820, 2891, 2641, 4270, 667, 821, 10590, 3418, 2018, 31066, 14052, 2018, 3094, 318, 1718, 1431, 14052, 1038, 8640, 2040, 263, 32156, 21652, 264, 3436, 476, 2641, 6769, 2018, 26761, 21652, 6910, 8987, 1015, 2608, 1404, 2075, 870, 272, 3418, 1038, 8640, 2040, 263, 32156, 21652, 264, 3436, 476, 2641, 6769, 2018, 1820, 2891, 32156, 7435, 2698, 568, 2580, 2040, 263, 32156, 21652, 17903, 2018, 1820, 2891, 1729, 334, 1082, 14744, 2018, 3094, 318, 1718, 1431, 14052, 1038, 3116, 6769, 2018, 1820, 2891, 5522, 16558, 7435, 2698, 568, 2580, 2040, 263, 32156, 21652, 17903, 2018, 2626, 815, 3403, 2891, 25898, 596, 899, 1776, 3556, 8119, 3418, 2018, 952, 2626, 2652, 834, 7224, 257, 6769, 3546, 31066, 14052, 3546, 3094, 318, 1718, 1431, 14052, 2018, 952, 2626, 2652, 834, 13433, 257, 6769, 3546, 1404, 2075, 731, 276, 320, 815, 4351, 26716, 4069, 18154, 731, 318, 19368, 3418, 3546, 5716, 3726, 276, 320, 815, 4351, 26716, 4069, 22829, 7057, 3418, 3546, 26761, 21652, 6910, 263, 2452, 2075, 731, 276, 320, 3418, 3546, 1820, 2891, 5522, 16558, 476, 275, 628, 9315, 568, 2580, 1404, 2075, 731, 276, 320, 267, 5716, 3726, 276, 320, 3418, 3546, 952, 2040, 263, 32156, 21652, 264, 2652, 476, 2641, 6769, 7386, 1820, 2891, 2641, 4270, 667, 821, 10590, 3418, 7386, 630, 1372, 29993, 3890, 3418, 7386, 3094, 318, 1718, 1431, 14052, 3546, 8640, 2040, 263, 32156, 21652, 264, 3436, 476, 2641, 6769, 7386 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1239, 689, 630, 288, 264, 1210, 3400, 724, 303, 611, 3301, 269, 31056, 3604, 941, 9916, 676, 835, 1259, 30654, 676, 513, 22427, 4486, 779, 2789, 6476, 1449, 543, 8612, 676, 14531, 529, 802, 630, 1262, 303, 283, 271, 269, 4905, 267, 2878, 265, 303, 283, 271, 269, 9826, 1040, 634, 3046, 729, 476, 1911, 18725, 332, 563, 2414, 13182, 952, 519, 538, 20117, 678, 300, 329, 29727, 6879, 18276, 8280, 22889, 4205, 1657, 849, 7018, 538, 24155, 267, 20544, 941, 22280, 609, 678, 300, 329, 29727, 267, 543, 1310, 476, 1789, 1295, 519, 8280, 14231, 6394, 607, 4330, 1657, 267, 543, 519, 4527, 540, 2627, 27995, 678, 300, 329, 29727, 8947, 676, 6375, 26014, 17190, 269, 634, 2592, 538, 8431, 269, 476, 278, 1397, 519, 3039, 5365, 593, 519, 6316, 540, 519, 8280, 14231, 6394, 689, 20544, 22280, 609, 678, 300, 329, 29727, 267, 543, 513, 3648, 21260, 5365, 538, 519, 1852, 1895, 269, 1452, 2164, 8612, 602, 519, 678, 300, 329, 29727, 666, 12622, 547, 519, 8280, 22889, 2627, 1312, 538, 20117, 543, 538, 24155, 563, 337, 300, 329, 29727, 267, 2558, 343, 6953, 529, 267, 610, 32282, 941, 22280, 883, 20544, 543, 519, 8280, 14231, 941, 6394, 543, 9916, 676, 6375, 2129, 626, 17190, 269, 634, 2451, 8470, 8612, 519, 11006, 5365, 9571, 676, 519, 4550, 6953, 626, 26593, 17193, 585, 519, 21921, 5364, 3940, 630, 16675, 1070, 519, 1647, 8470, 4951, 519, 8280, 22889, 13540, 4087, 630, 23325, 1070, 543, 519, 1318, 8470, 4951, 519, 19467, 540, 3105, 1079, 8440, 269, 4446, 815, 476, 736, 18725, 332, 563, 300, 329, 29727, 8871, 6838, 1912, 698, 26014, 2670, 540, 29318, 676, 12920, 14231, 454, 763, 1657, 2164, 4951, 602, 678, 300, 329, 29727, 1223, 12622, 547, 519, 8280, 22889, 2627, 543, 547, 717, 266, 543, 717, 6629, 4551, 267, 27229, 676, 11006, 547, 700, 14011, 543, 700, 4916, 267, 6606, 269, 769, 1931, 547, 2417, 8495, 922, 1599, 2390, 11006, 547, 1312, 519, 8280, 14231, 543, 4551, 267, 606, 538, 24155, 943, 698, 26014, 2670, 22368, 729, 5340, 269, 634, 2164, 7000, 602, 3592, 476, 1789, 260, 540, 519, 8280, 14231, 941, 3238, 538, 943, 698, 26014, 2670, 538, 519, 631, 329, 29727, 22862, 1895, 267, 1247, 1152, 476, 1015, 260, 538, 519, 1852, 1895, 630, 8993, 269, 476, 279, 290, 1040, 1306, 3379, 609, 519, 1852, 1895, 630, 8993, 269, 476, 279, 288, 1070, 8280, 14231, 538, 1449, 1895, 630, 8993, 269, 476, 279, 289, 264, 943, 698, 26014, 2216, 811, 4551, 269, 1452, 2164, 6700, 602, 11006, 540, 631, 329, 29727, 547, 8280, 14231, 543, 5924, 4551, 538, 24155, 15469, 741, 943, 698, 26014, 2670, 267, 543, 3366, 547, 15974, 519, 8367, 602, 631, 329, 29727, 10597, 519, 24999, 540, 1761, 15451, 13596, 689, 10009, 563, 289, 22160, 943, 698, 26014, 2670, 22368, 281, 24638, 569, 13042, 966, 269, 2587, 340, 650, 30946, 630, 276, 9943, 13040, 2281, 264, 941, 22862, 609, 2901, 2558, 343, 6953, 529, 630, 288, 267, 519, 1852, 264, 610, 678, 300, 329, 29727, 630, 289, 264, 543, 22280, 883, 20544, 269, 634, 8280, 14231, 941, 6394, 1310, 476, 1789, 1295, 543, 5116, 5196, 519, 4837, 15942, 269, 30272, 267, 2119, 3966, 4544, 3070, 630, 273, 8406, 270, 6447, 32282, 264, 630, 8649, 637, 1723, 264, 729, 3773, 547, 844, 26067, 519, 28264, 540, 1875, 14428, 698, 26014, 2216, 4551, 269, 634, 943, 698, 26014, 2670, 676, 8280, 14231, 729, 4767, 693, 476, 6110, 9943, 3172, 2305, 267, 543, 943, 698, 26014, 2216, 4551, 18886, 693, 476, 1220, 9943, 332, 1725, 2305, 896, 519, 28264, 17209, 269, 630, 288, 264, 12920, 14231, 689, 20544, 22280, 609, 966, 269, 2587, 340, 650, 30946, 22862, 609, 2558, 343, 6953, 529, 269, 630, 289, 264, 12920, 14231, 689, 20544, 22280, 609, 966, 269, 2587, 340, 650, 30946, 22862, 609, 678, 300, 329, 29727, 269, 630, 290, 264, 634, 943, 698, 7514, 6776, 21159, 540, 1079, 2516, 30916, 303, 283, 271, 269, 4962, 1040, 4446, 815, 476, 2004, 18725, 332, 269, 630, 291, 264, 10717, 13779, 22368, 281, 20544, 941, 22280, 609, 546, 338, 23978, 7466, 547, 16563, 631, 329, 29727, 4082, 267, 543, 610, 609, 717, 17025, 546, 338, 23978, 607, 1852, 269, 966, 756, 26369, 2587, 340, 650, 30946, 630, 273, 9943, 13040, 2281, 264, 941, 22280, 883, 20544, 1310, 519, 2034, 13297, 269, 12920, 565, 8233, 729, 6394, 689, 519, 1079, 2516, 693, 476, 276, 267, 476, 1428, 267, 476, 2568, 1295, 2022, 19899, 1254, 267, 543, 1583, 6053, 29809, 609, 32282, 269, 17823, 1399, 18725, 331, 540, 1142, 3732, 729, 726, 730, 5196, 476, 21854, 277, 292, 31893, 10824, 543, 17861, 730, 693, 476, 4391, 9180, 16074, 269, 10717, 729, 13939, 689, 8280, 14231, 543, 575, 1571, 540, 1079, 2516, 267, 543, 7318, 676, 21512, 6261, 10135, 547, 6166, 3623, 9760, 540, 631, 329, 29727, 4082, 269, 630, 292, 264, 634, 9190, 12523, 538, 8280, 565, 8233, 5439, 6394, 693, 476, 276, 267, 476, 1428, 543, 476, 2568, 1295, 689, 20544, 689, 519, 546, 338, 300, 329, 29727, 543, 546, 338, 294, 17025, 2516, 563, 22068, 9760, 540, 631, 329, 29727, 20309, 25841, 645, 17424, 13068, 766, 454, 2414, 1449, 519, 8367, 593, 519, 1909, 540, 631, 329, 29727, 538, 4761, 8878, 1759, 519, 1657, 7422, 267, 10717, 328, 729, 5340, 585, 2417, 6198, 2079, 540, 631, 329, 29727, 269, 11778, 689, 21512, 6261, 10135, 7152, 602, 602, 13297, 540, 631, 329, 29727, 546, 338, 11748, 1223, 3648, 21391, 22328, 2157, 540, 631, 329, 29727, 538, 8280, 14231, 630, 8993, 269, 476, 279, 291, 1040, 634, 13297, 540, 4551, 883, 519, 631, 329, 29727, 1606, 559, 10642, 20544, 543, 1852, 2831, 602, 1185, 1044, 22280, 609, 717, 17025, 546, 338, 11748, 7000, 602, 519, 2338, 540, 4551, 538, 519, 8280, 565, 8233, 540, 631, 329, 29727, 1606, 559, 10642, 20544, 941, 3648, 2362, 982, 538, 519, 717, 17025, 546, 338, 11748, 2987, 915, 539, 1895, 693, 476, 276, 1295, 543, 476, 2568, 1295, 630, 8993, 269, 476, 279, 292, 1040, 1452, 2164, 9672, 602, 631, 329, 29727, 4249, 513, 1883, 1909, 538, 519, 20544, 8878, 1996, 9190, 11763, 4161, 563, 7212, 7523, 624, 1231, 941, 7620, 4330, 607, 1646, 958, 14931, 538, 741, 4082, 543, 4730, 1883, 5107, 538, 2038, 11616, 14003, 267, 1591, 15285, 267, 543, 5160, 3919, 267, 538, 2487, 1296, 2963, 814, 19017, 538, 1489, 540, 741, 7589, 538, 7939, 540, 4761, 27921, 676, 1110, 6819, 6553, 543, 2789, 3344, 540, 17916, 543, 13261, 12046, 267, 1519, 32151, 22889, 2447, 582, 9471, 267, 9194, 543, 11852, 2073, 645, 1591, 1646, 2073, 2073, 570, 1591, 30091, 2073, 2073, 543, 824, 9431, 3344, 540, 519, 4761, 6114, 540, 30900, 1107, 269, 4329, 267, 1282, 519, 2250, 1906, 1296, 621, 814, 1831, 5051, 2312, 602, 7523, 624, 1231, 849, 12622, 25026, 753, 593, 519, 2627, 540, 5732, 23633, 17973, 543, 666, 1599, 607, 4806, 6284, 13364, 630, 11266, 20745, 264, 1547, 4475, 267, 538, 30900, 267, 7523, 624, 1231, 666, 10038, 4761, 3252, 676, 11006, 547, 1312, 1439, 18100, 630, 8072, 1345, 32426, 25026, 753, 267, 543, 2890, 2041, 23938, 630, 8072, 12061, 268, 1345, 32426, 9848, 20799, 8554, 269, 4014, 538, 29068, 267, 7523, 624, 1231, 616, 2219, 547, 7119, 538, 1346, 6211, 3157, 602, 616, 1455, 547, 30900, 267, 5266, 1906, 2090, 723, 13006, 741, 11006, 547, 1582, 543, 1875, 268, 1345, 25026, 753, 543, 1022, 1909, 4433, 264, 538, 4761, 1599, 13380, 547, 1346, 689, 30900, 269, 5047, 267, 7523, 624, 1231, 723, 1044, 4330, 1152, 538, 513, 1906, 12933, 864, 534, 2249, 267, 1519, 519, 4457, 5378, 1084, 26029, 661, 269, 5609, 18424, 630, 7049, 289, 1678, 281, 5084, 293, 17168, 2537, 269, 272, 1070, 519, 7414, 3043, 20544, 267, 22175, 13449, 30906, 642, 2335, 877, 328, 630, 7049, 289, 1678, 281, 17985, 309, 271, 5379, 6795, 269, 272, 1070, 543, 519, 1216, 7904, 320, 667, 269, 533, 2544, 343, 630, 7049, 289, 1678, 281, 19200, 296, 29710, 4037, 269, 272, 1040, 1452, 2090, 267, 2705, 267, 723, 1044, 6140, 3908, 547, 519, 8446, 540, 7523, 24514, 31286, 267, 609, 1100, 2417, 2079, 540, 741, 6211, 1909, 4433, 1040, 4475, 267, 519, 6198, 18572, 540, 12933, 864, 534, 7523, 624, 1231, 11562, 1218, 2417, 7634, 269, 769, 713, 1353, 267, 649, 4857, 543, 1599, 958, 6353, 585, 519, 1101, 942, 513, 3209, 7523, 24514, 689, 519, 737, 584, 6373, 20544, 267, 631, 269, 795, 777, 4577, 639, 269, 634, 20544, 7523, 24514, 568, 909, 29970, 676, 11763, 4161, 267, 543, 666, 5431, 543, 522, 12121, 1125, 5732, 23633, 4551, 676, 11006, 547, 519, 8280, 22889, 2627, 543, 5009, 943, 698, 26014, 2670, 267, 543, 3623, 9760, 540, 922, 4082, 538, 24155, 2164, 538, 4389, 9190, 24999, 3928, 538, 8280, 565, 8233, 267, 11021, 602, 631, 329, 29727, 4249, 513, 1883, 1909, 538, 4761, 8878, 1996, 9190, 3968, 563, 288, 3406, 540, 938, 631, 269, 795, 777, 4577, 639, 29643, 6538, 7000, 513, 13973, 602, 649, 11280, 631, 329, 29727, 609, 4630, 1108, 547, 2818, 540, 519, 7523, 24514, 1920, 267, 17683, 513, 476, 18357, 268, 3133, 334, 3679, 1279, 3940, 540, 476, 3451, 269, 276, 737, 291, 320, 7805, 2527, 602, 10525, 513, 2582, 476, 14096, 9113, 573, 826, 1279, 7523, 716, 657, 728, 1532, 4193, 7898, 514, 6389, 4092, 538, 519, 715, 3856, 1400, 3368, 540, 519, 1135, 4286, 32644, 5832, 269, 634, 3119, 7293, 3919, 540, 519, 13973, 8612, 602, 621, 1281, 711, 3514, 519, 28138, 2934, 540, 519, 1486, 334, 610, 16403, 5028, 1826, 7523, 624, 1231, 689, 30900, 1547, 4014, 519, 24448, 540, 631, 329, 29727, 1131, 2303, 602, 621, 568, 1644, 547, 519, 8545, 7523, 24514, 1826, 267, 519, 4087, 540, 519, 10911, 291, 568, 6587, 547, 519, 9451, 24260, 13222, 267, 538, 799, 519, 10911, 291, 568, 4092, 6251, 547, 519, 595, 3856, 1400, 3148, 1547, 769, 4334, 267, 519, 3919, 540, 519, 631, 329, 29727, 13973, 568, 3833, 2147, 547, 519, 7523, 24514, 667, 335, 29727, 268, 273, 267, 689, 519, 1216, 7904, 320, 667, 269, 533, 2544, 343, 602, 8075, 513, 476, 14096, 268, 3133, 334, 3679, 1279, 10911, 291, 5532, 547, 513, 1970, 6988, 3148, 269, 5811, 540, 519, 30859, 543, 17429, 1027, 11254, 3679, 9696, 8612, 513, 14191, 16726, 547, 7523, 624, 1231, 4857, 538, 519, 20544, 700, 269, 642, 2335, 877, 328, 543, 519, 26029, 661, 269, 5609, 18424, 267, 855, 538, 19220, 540, 519, 2147, 13973, 3919, 267, 513, 3648, 2539, 5311, 16726, 269, 901, 949, 581, 1813, 547, 519, 6069, 4028, 13261, 4720, 540, 4761, 6090, 538, 667, 7469, 11844, 476, 602, 814, 8507, 7523, 24514, 9696, 602, 616, 15186, 28836, 689, 824, 12933, 864, 534, 2249, 269, 589, 29981, 2079, 8612, 602, 631, 329, 29727, 7265, 1229, 609, 7523, 624, 1231, 689, 29068, 543, 513, 8280, 747, 867, 622, 267, 543, 729, 5693, 3982, 689, 519, 9451, 24260, 7523, 624, 1231, 1895, 563, 300, 329, 29727, 729, 6829, 538, 782, 8031, 7318, 538, 519, 14255, 25771, 557, 2831, 267, 543, 2390, 11763, 4161, 267, 631, 329, 29727, 4082, 729, 3648, 909, 29970, 538, 1312, 8280, 14231, 543, 14817, 641, 534, 17759, 269, 769, 12933, 30702, 267, 1034, 595, 15178, 7898, 1231, 3238, 538, 4761, 1599, 616, 6829, 538, 519, 14817, 641, 534, 17759, 543, 5950, 547, 519, 10009, 1547, 5015, 267, 519, 12933, 864, 534, 8280, 14231, 616, 3238, 538, 1585, 3344, 540, 13178, 543, 10408, 4761, 6114, 1547, 570, 2586, 1927, 267, 891, 2164, 9244, 6700, 602, 631, 329, 29727, 1522, 581, 3238, 538, 27611, 6114, 269, 901, 729, 9672, 676, 538, 24155, 9190, 24999, 6901, 602, 4951, 602, 4551, 602, 1185, 1044, 840, 2987, 31957, 730, 609, 631, 329, 29727, 543, 22280, 883, 20544, 941, 23498, 811, 6385, 689, 10009, 982, 1346, 6534, 547, 519, 1852, 3940, 610, 17280, 4805, 269, 4014, 519, 1909, 540, 23787, 24260, 7898, 1231, 630, 31860, 540, 519, 595, 15178, 264, 538, 19800, 24999, 814, 1044, 7152, 585, 1896, 2249, 267, 3226, 7786, 476, 543, 30114, 639, 802, 2073, 713, 568, 519, 1101, 17431, 538, 513, 12933, 864, 534, 2249, 602, 513, 7523, 24514, 666, 3895, 9190, 24999, 543, 3565, 547, 4761, 8878, 1996, 15451, 13596, 563, 2414, 30881, 519, 6127, 3238, 538, 9190, 24999, 267, 649, 11567, 2436, 631, 329, 29727, 2047, 6444, 543, 3808, 547, 519, 9190, 2627, 269, 631, 329 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5253, 10829, 640, 18185, 692, 1012, 4985, 692, 15933, 7274, 26732, 616, 13561, 2645, 1031, 547, 7447, 519, 2179, 540, 1426, 2877, 585, 513, 1808, 1297, 540, 1004, 610, 32122, 269, 6787, 596, 616, 4058, 513, 1920, 12129, 267, 513, 23695, 2680, 267, 610, 3274, 1616, 547, 2057, 1426, 3653, 267, 891, 26732, 666, 581, 11212, 3730, 269, 1635, 3403, 1154, 930, 2596, 1344, 267, 971, 607, 519, 1297, 540, 14538, 543, 6712, 7306, 267, 596, 666, 3313, 519, 1318, 9424, 540, 5820, 547, 5965, 269, 901, 2376, 786, 5490, 883, 519, 4542, 3297, 1426, 7274, 26732, 267, 2491, 875, 547, 946, 873, 267, 1683, 606, 1383, 267, 2626, 4749, 4280, 2055, 267, 543, 9959, 609, 519, 2640, 540, 1210, 971, 2645, 780, 1012, 16754, 1384, 763, 4542, 585, 513, 1426, 7274, 9498, 568, 5266, 3551, 1384, 13707, 10829, 640, 815, 630, 10831, 540, 4419, 902, 610, 2871, 3949, 264, 1535, 630, 303, 10407, 12025, 829, 2871, 652, 2020, 8489, 1384, 1892, 11192, 10829, 640, 568, 519, 2179, 540, 1426, 596, 991, 538, 2698, 563, 1892, 7089, 540, 4419, 902, 610, 2871, 3949, 568, 519, 1297, 540, 1004, 596, 1544, 547, 4196, 563, 1892, 5800, 542, 12025, 829, 2871, 652, 568, 519, 2179, 540, 1426, 1142, 16823, 786, 8532, 780, 1607, 4542, 666, 581, 9862, 547, 1585, 2010, 540, 1426, 267, 2436, 596, 2461, 12719, 519, 1297, 540, 533, 11170, 553, 585, 513, 5428, 267, 519, 6550, 540, 21429, 585, 21175, 267, 610, 519, 20990, 540, 17339, 585, 606, 2680, 780, 1012, 1215, 547, 2422, 2496, 8794, 513, 1426, 7274, 9498, 568, 3335, 3833, 2241, 269, 3371, 616, 519, 3268, 1384, 272, 269, 14419, 519, 7926, 281, 32341, 1018, 1826, 540, 7594, 610, 2680, 596, 616, 4058, 269, 1772, 621, 513, 12129, 5428, 267, 513, 17552, 5371, 267, 610, 513, 16806, 21200, 888, 273, 269, 5700, 2659, 2871, 3949, 281, 5620, 606, 4977, 1293, 540, 519, 1297, 540, 14538, 610, 32122, 596, 991, 563, 274, 269, 16294, 5800, 542, 590, 3278, 281, 14419, 519, 6712, 2450, 829, 16823, 585, 1142, 8670, 269, 901, 949, 4268, 1759, 593, 519, 1826, 540, 1426, 267, 519, 2680, 267, 543, 8192, 9270, 563, 275, 269, 15233, 519, 16754, 281, 2422, 519, 4542, 5018, 4505, 547, 5173, 519, 2698, 7274, 540, 1142, 8670, 563, 276, 269, 19244, 585, 3962, 667, 880, 281, 1403, 596, 2461, 7674, 2789, 8286, 267, 10956, 519, 9819, 585, 1142, 835, 563, 277, 269, 6333, 700, 1030, 1729, 951, 281, 16748, 538, 2436, 596, 1616, 2451, 13569, 610, 711, 269, 2368, 1004, 899, 3063, 1426, 585, 2663, 267, 1247, 1866, 4782, 547, 7413, 3653, 563, 278, 269, 4643, 585, 7352, 1214, 281, 3550, 513, 3309, 10624, 676, 5356, 1114, 8286, 547, 8597, 547, 1585, 16919, 543, 8192, 9993, 780, 1012, 7151, 1384, 4131, 779, 2161, 596, 2461, 4058, 513, 14512, 5428, 585, 476, 736, 1004, 267, 543, 596, 1616, 547, 4196, 838, 698, 515, 26152, 269, 1411, 7447, 602, 1142, 16823, 786, 3548, 827, 476, 1220, 10101, 540, 838, 698, 515, 26152, 269, 4635, 519, 4542, 1384, 13707, 10829, 640, 815, 630, 736, 2871, 3949, 264, 1535, 630, 1220, 10101, 829, 2871, 652, 264, 815, 476, 6110, 271, 10101, 692, 3383, 267, 596, 991, 476, 6110, 271, 10101, 630, 275, 13532, 264, 540, 838, 698, 515, 26152, 585, 707, 5428, 780, 1012, 14174, 17988, 1384, 304, 272, 281, 2052, 594, 946, 513, 1426, 7274, 9498, 585, 16098, 607, 1134, 286, 8786, 267, 1426, 7274, 26732, 666, 581, 1031, 585, 1312, 1426, 543, 16098, 269, 15439, 3082, 519, 4542, 547, 519, 1808, 4235, 596, 2461, 7674, 780, 304, 273, 281, 1215, 798, 594, 3815, 538, 1114, 8192, 4170, 267, 971, 607, 20757, 610, 15347, 6954, 3681, 286, 6333, 519, 8192, 7375, 540, 707, 14538, 950, 8159, 6712, 7306, 543, 10624, 5079, 269, 1411, 949, 991, 547, 5965, 5094, 8286, 547, 13918, 1114, 8192, 2115, 780, 304, 274, 281, 1548, 827, 12608, 9088, 543, 28916, 286, 634, 1482, 4542, 666, 581, 1031, 585, 12608, 9088, 543, 28916, 269, 3807, 1118, 2386, 547, 2272, 585, 519, 1297, 540, 32122, 543, 6712, 7306, 585, 1142, 8670, 596, 1544, 547, 4196, 780, 1012, 10390, 1384, 15933, 7274, 26732, 616, 4052, 2645, 602, 14458, 519, 1184, 540, 7594, 4058, 267, 2436, 596, 2461, 16475, 513, 1507, 11018, 610, 513, 1804, 2680, 269, 1635, 1210, 513, 3551, 4542, 267, 596, 666, 7447, 519, 1318, 9424, 540, 1426, 547, 5965, 267, 4227, 3653, 543, 4180, 707, 14538, 616, 1134, 1922, 539, 269, 1452, 26732, 2709, 13418, 543, 4398, 538, 519, 10051, 267, 3850, 596, 547, 1445, 593, 2870, 513, 12300, 18226, 1995, 585, 707, 14538, 1247, 10893, 519, 2566, 540, 7594, 4058, 269, 6787, 596, 2461, 513, 19023, 27697, 610, 513, 30497, 3434, 267, 513, 1426, 7274, 9498, 666, 581, 707, 5728, 12146, 585, 3811, 7594, 7041, 269, 0, 258, 667, 3925, 2986, 4911, 983, 24665, 566, 769, 8562, 983, 18289, 692, 2162, 1677, 798, 649, 723, 1031, 538, 9764, 543, 1491, 29628, 692, 290, 712, 17940, 30863, 692, 2791, 1616, 547, 2099, 6991, 540, 2798, 267, 1142, 1126, 568, 17242, 547, 5163, 540, 16070, 10231, 538, 4287, 9764, 5163, 666, 581, 286, 12763, 540, 875, 16070, 6991, 2242, 936, 942, 269, 9137, 1058, 6961, 602, 2698, 3196, 269, 1809, 922, 5021, 16070, 10231, 540, 4287, 9764, 5163, 538, 2147, 6752, 267, 519, 17208, 13374, 693, 606, 3830, 269, 2578, 686, 7065, 531, 10231, 519, 16070, 10231, 540, 4287, 540, 519, 3339, 3196, 286, 4033, 8846, 540, 9764, 2619, 540, 4287, 540, 16070, 10231, 9764, 5163, 538, 269, 634, 5163, 16070, 10231, 5163, 540, 4287, 607, 513, 15914, 17196, 14089, 6676, 6238, 15914, 1560, 568, 286, 3509, 1448, 3697, 5536, 1847, 593, 1950, 5163, 568, 17242, 547, 513, 1560, 5163, 568, 538, 9764, 5163, 780, 1103, 799, 649, 4121, 8144, 1282, 26137, 10047, 267, 649, 917, 519, 8097, 960, 2944, 676, 3668, 540, 4287, 540, 16070, 10231, 9764, 5163, 538, 513, 6378, 5102, 2917, 602, 519, 5428, 547, 4194, 2042, 269, 28662, 4393, 5276, 610, 2490, 267, 1577, 519, 7817, 814, 1312, 4096, 593, 952, 519, 4287, 540, 16070, 10231, 538, 9764, 5163, 269, 1284, 849, 513, 1455, 3355, 17003, 1705, 711, 5892, 267, 2094, 5086, 14360, 676, 621, 666, 581, 1360, 2178, 6252, 5288, 13902, 1770, 11282, 1949, 607, 286, 11512, 875, 16070, 10231, 538, 9764, 5163, 281, 621, 1131, 581, 938, 9095, 607, 2318, 267, 5170, 547, 581, 15222, 1242, 693, 513, 576, 269, 1284, 917, 689, 938, 16070, 10231, 543, 1287, 946, 267, 9764, 4287, 1210, 9764, 5163, 267, 602, 6991, 568, 547, 581, 286, 634, 8908, 729, 6707, 25216, 269, 1411, 666, 711, 1611, 585, 9764, 267, 538, 16070, 5787, 725, 616, 593, 513, 1507, 9095, 5258, 676, 9631, 14269, 9498, 883, 7643, 267, 1287, 9095, 3259, 602, 2619, 269, 16503, 3433, 519, 4099, 547, 581, 14251, 2218, 586, 1177, 6991, 540, 519, 3337, 540, 522, 538, 16070, 10231, 602, 649, 666, 1152, 26897, 616, 4642, 538, 519, 3141, 269, 1548, 2306, 2631, 568, 3160, 678, 568, 17242, 547, 1312, 3631, 941, 9138, 676, 3604, 1063, 24364, 5163, 543, 1265, 1022, 1434, 2409, 547, 4766, 7833, 269, 2422, 1934, 585, 9764, 5163, 269, 670, 1460, 5459, 654, 290, 267, 715, 1508, 808, 296, 267, 4856, 516, 807, 631, 297, 269, 19024, 607, 513, 3586, 6991, 6152, 568, 602, 616, 593, 513, 5569, 593, 10580, 602, 780, 2252, 1775, 1175, 2614, 585, 5276, 543, 29940, 1419, 6101, 1242, 676, 2596, 1344, 585, 4130, 16070, 10231, 1312, 2665, 547, 269, 769, 606, 16070, 4528, 540, 519, 24364, 9424, 1535, 267, 16070, 10231, 5163, 540, 4287, 9764, 5163, 267, 513, 4062, 540, 2121, 18165, 269, 634, 10231, 568, 6587, 835, 540, 24880, 666, 581, 286, 1924, 952, 922, 6991, 538, 6323, 4928, 267, 649, 6460, 713, 4137, 2982, 875, 1279, 1281, 713, 3184, 786, 723, 1614, 7643, 269, 6904, 1390, 1995, 693, 602, 538, 5163, 269, 634, 16070, 6991, 543, 6529, 707, 14853, 2798, 2476, 689, 4466, 568, 10231, 540, 4287, 269, 1703, 596, 666, 946, 267, 1875, 14706, 12334, 6991, 547, 23491, 519, 16070, 12761, 538, 513, 6085, 814, 1152, 10231, 538, 4287, 16070, 10231, 5163, 540, 9764, 4287, 540, 519, 5539, 540, 26632, 894, 4229, 269, 634, 18330, 607, 649, 917, 689, 5276, 610, 1776, 29584, 1062, 602, 519, 8953, 540, 513, 18165, 4287, 1131, 1448, 693, 3432, 267, 16070, 10231, 5163, 540, 538, 4287, 9764, 9095, 269, 634, 2053, 519, 948, 267, 538, 4287, 540, 16070, 10231, 6152, 1281, 711, 15738, 4724, 513, 942, 269, 1284, 3442, 6119, 616, 3254, 693, 3586, 693, 2547, 1282, 632, 5120, 566, 267, 29122, 543, 602, 780, 763, 1843, 1223, 946, 540, 942, 2557, 2242, 7683, 4657, 17003, 267, 5163, 540, 4287, 16070, 10231, 538, 9764, 2619, 1287, 4857, 676, 799, 621, 814, 1614, 7643, 267, 649, 1294, 602, 1447, 4674, 729, 269, 1411, 5469, 602, 5163, 16070, 10231, 540, 513, 11179, 29226, 827, 519, 2627, 540, 1346, 945, 1847, 949, 11874, 1764, 3135, 269, 5221, 649, 1289, 621, 4667, 547, 824, 8846, 610, 949, 5815, 513, 1297, 540, 5163, 540, 519, 3084, 512, 2967, 9774, 3339, 10231, 568, 2141, 606, 18607, 269, 8437, 7696, 547, 16070, 10231, 540, 538, 4287, 855, 1101, 2165, 950, 519, 533, 17233, 17671, 11532, 1317, 649, 1039, 873, 269, 6333, 519, 16070, 12761, 267, 519, 3339, 1770, 11282, 1062, 543, 3741, 585, 519, 10231, 1413, 899, 519, 7450, 269, 1403, 596, 723, 621, 267, 2864, 982, 2527, 540, 9764, 18330, 269, 31538, 9764, 5163, 814, 1044, 3379, 609, 602, 9104, 919, 1346, 1079, 5079, 538, 16070, 6991, 540, 32494, 829, 2053, 519, 10231, 540, 4287, 16070, 5163, 538, 9764, 5163, 269, 634, 11250, 585, 1079, 1453, 616, 3254, 267, 855, 609, 606, 1620, 8849, 19106, 538, 269, 7388, 1154, 519, 11994, 602, 6482, 267, 2011, 29226, 538, 519, 5086, 267, 513, 1560, 3294, 267, 713, 568, 519, 1863, 1560, 827, 519, 3970, 540, 4287, 16070, 10231, 5163, 538, 9764, 10739, 585, 7833, 269, 1284, 1223, 2576, 2491, 1946, 568, 513, 5432, 267, 29122, 543, 789, 723, 547, 4766, 9764, 2619, 1287, 4857, 676, 971, 607, 538, 891, 723, 1298, 686, 7065, 531, 5163, 538, 9764, 2619, 1287, 649, 2808, 547, 269, 634, 3606, 5163, 540, 4287, 16070, 10231, 9764, 5163, 538, 9764, 5163, 1131, 649, 4718, 538, 269, 1403, 596, 616, 1114, 10231, 540, 9764, 5163, 607, 538, 930, 1843, 7575, 538, 780, 763, 5929, 1383, 540, 713, 568, 519, 18343, 4672, 1236, 11596, 945, 1847, 741, 7916, 689, 606, 856, 560, 4958, 3481, 2990, 27808, 547, 741, 4703, 281, 741, 24364, 24880, 3587, 4130, 4929, 741, 16070, 6991, 547, 2333, 269, 11512, 1946, 606, 1843, 1223, 2576, 2491, 1946, 568, 10231, 540, 538, 4287, 16070, 5163, 568, 519, 23345, 3758, 609, 513, 8868, 269, 1284, 1413, 899, 513, 1524, 2072, 3196, 1317, 519, 16070, 10231, 568, 849, 581, 519, 1482, 2557, 540, 10231, 540, 538, 4287, 16070, 9764, 5163, 269, 32506, 827, 513, 1448, 6378, 593, 519, 16070, 10231, 540, 4287, 540, 16070, 12761, 6152, 267, 865, 3314, 568, 286, 1703, 568, 538, 9764, 5163, 513, 20425, 12122, 267, 606, 1843, 909, 1934, 585, 4130, 3172, 6421, 16070, 12761, 547, 269, 1403, 1775, 1205, 513, 2427, 1811, 10231, 538, 269, 27539, 602, 649, 666, 3132, 513, 9764, 5163, 543, 4283, 513, 1899, 540, 18165, 7472, 11994, 602, 649, 1413, 693, 799, 649, 1058, 649, 4718, 602, 269, 19147, 602, 596, 1175, 3432, 267, 711, 2943, 538, 32494, 829, 4009, 540, 22441, 540, 24364, 10252, 26517, 9424, 543, 1533, 6280, 540, 6323, 269, 1284, 3893, 681, 2053, 18232, 15060, 269, 898, 7140, 786, 519, 10231, 6152, 949, 711, 2348, 835, 2034, 1688, 2306, 513, 2016, 513, 24364, 5163, 540, 16070, 10231, 538, 4287, 540, 8126, 1113, 10231, 267, 8226, 540, 519, 1899, 524, 267, 8726, 922, 16070, 5163, 269, 1548, 3656, 5773, 4019, 513, 5858, 2833, 1312, 5011, 616, 13902, 547, 2638, 707, 2427, 18211, 13444, 267, 9764, 5163, 538, 32494, 16611, 676, 1210, 713, 2376, 1058, 6961, 602, 269, 1703, 616, 2185, 2027, 2665, 547, 2015, 585, 519, 4287, 540, 519, 16070, 6991, 780, 763, 16070, 6991, 9775, 31085, 609, 267, 1519, 5276, 11610, 1131, 3160, 538, 4287, 540, 16070, 10231, 5163, 568, 3586, 10231, 666, 513, 2571, 4252, 1966, 607, 606, 1884, 545, 6674, 3772, 2631, 547, 948, 1118, 286, 634, 16070, 6991, 543, 3156, 538, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5639, 5872, 267, 3642, 267, 543, 3239, 3642, 3034, 2005, 779, 1100, 9983, 519, 8121, 14296, 6383, 865, 1454, 18388, 693, 595, 2464, 476, 1001, 279, 267, 519, 7082, 11418, 1397, 538, 20098, 30988, 563, 2108, 5472, 519, 1004, 4947, 547, 938, 1630, 1054, 693, 595, 2464, 2731, 6068, 519, 2856, 540, 1514, 5610, 540, 11132, 6284, 538, 681, 758, 573, 19371, 2223, 3081, 18961, 269, 968, 6546, 779, 1018, 14281, 803, 519, 1034, 3034, 6097, 547, 681, 758, 573, 267, 519, 4457, 1376, 5346, 8547, 676, 606, 1325, 756, 19487, 10927, 267, 814, 1007, 7616, 543, 3081, 6800, 1058, 581, 2111, 547, 4444, 513, 6292, 540, 922, 8121, 14296, 676, 519, 3791, 610, 8772, 10116, 540, 713, 1032, 269, 681, 758, 573, 568, 24574, 1359, 609, 1114, 3549, 593, 519, 1587, 5498, 1105, 1599, 563, 4407, 789, 2461, 1932, 804, 684, 5652, 547, 581, 12816, 1169, 1554, 267, 789, 798, 3094, 6752, 2798, 269, 1358, 2461, 6007, 268, 6016, 730, 543, 9280, 609, 15261, 30235, 543, 29402, 269, 634, 1629, 334, 1770, 693, 519, 4123, 1397, 1223, 581, 4448, 547, 824, 3457, 971, 607, 513, 15291, 543, 16335, 563, 2108, 4462, 23896, 2406, 267, 513, 4023, 2179, 540, 5955, 649, 3893, 1185, 547, 798, 609, 519, 991, 547, 1118, 519, 14296, 4130, 267, 543, 2087, 741, 3252, 2223, 3081, 18961, 267, 8689, 540, 1587, 543, 1870, 4238, 693, 519, 670, 836, 345, 17924, 2861, 2754, 779, 5842, 12770, 1382, 2978, 563, 22897, 267, 2257, 267, 2486, 0, 763, 27559, 540, 3695, 11895, 666, 581, 3078, 269, 1703, 568, 1454, 547, 581, 15874, 267, 6956, 267, 543, 1726, 25979, 538, 519, 1309, 591, 985, 540, 938, 4541, 269, 1717, 267, 1256, 4810, 1309, 951, 2141, 1935, 606, 16939, 609, 9488, 4058, 267, 1697, 14074, 267, 543, 513, 1544, 6956, 676, 519, 2898, 838, 601, 6064, 532, 2319, 269, 3371, 568, 513, 13657, 776, 1592, 547, 5077, 1354, 1022, 524, 3058, 7552, 563, 24535, 281, 715, 14110, 2207, 23184, 5442, 15674, 589, 11404, 12717, 9338, 24535, 543, 1510, 26655, 2576, 945, 568, 9363, 593, 519, 2627, 269, 11408, 723, 513, 14609, 344, 1062, 8815, 2390, 676, 707, 2898, 838, 601, 6064, 532, 2319, 269, 5269, 2386, 693, 2547, 835, 1268, 593, 519, 2627, 829, 13946, 2319, 4759, 6487, 945, 568, 2469, 267, 1141, 519, 13946, 568, 267, 543, 875, 547, 3914, 17066, 585, 1142, 1309, 591, 269, 3962, 1309, 591, 1590, 3346, 741, 2627, 1268, 676, 513, 1978, 942, 1310, 519, 5428, 568, 4397, 547, 14827, 519, 13946, 267, 610, 519, 2627, 3060, 1590, 20006, 513, 5423, 3406, 543, 15063, 1544, 269, 5221, 540, 3043, 9224, 10627, 2068, 267, 1082, 1857, 23572, 616, 6806, 693, 519, 1699, 942, 269, 1684, 711, 512, 4046, 817, 538, 6806, 1857, 23572, 269, 11408, 723, 606, 1620, 609, 519, 8227, 1354, 10024, 513, 4357, 13946, 563, 307, 310, 302, 281, 715, 14110, 2207, 700, 12788, 12717, 18688, 295, 18853, 4888, 312, 717, 2752, 289, 17803, 10758, 645, 7495, 6579, 312, 654, 3008, 15288, 269, 2142, 5423, 547, 3640, 856, 4376, 602, 2501, 538, 609, 596, 269, 589, 7552, 547, 519, 1964, 3336, 1354, 647, 1746, 909, 585, 606, 16939, 568, 3810, 5227, 269, 30785, 11149, 543, 11435, 666, 10189, 707, 3653, 585, 8851, 689, 519, 13946, 563, 8025, 12767, 281, 715, 14110, 2207, 13673, 9898, 589, 11404, 12717, 23166, 27345, 11083, 19845, 17129, 8946, 12767, 20796, 32578, 700, 20846, 590, 5495, 13612, 2464, 11123, 661, 21815, 623, 8991, 2177, 269, 10896, 2212, 7547, 15841, 593, 707, 24743, 616, 1655, 269, 1411, 949, 849, 1265, 21015, 2173, 870, 539, 10896, 779, 1360, 5363, 267, 855, 789, 616, 711, 2141, 5227, 585, 27726, 23572, 269, 11408, 4163, 22302, 9075, 269, 7046, 18723, 1769, 2959, 616, 513, 1360, 3983, 2856, 1813, 547, 11389, 2993, 1464, 543, 3441, 547, 519, 13946, 1604, 563, 293, 21788, 281, 715, 14110, 2207, 9501, 5085, 7419, 298, 23166, 27345, 25723, 2752, 5058, 589, 30892, 8150, 595, 2207, 2316, 293, 296, 3633, 670, 5085, 300, 4953, 267, 5084, 297, 19851, 3633, 11550, 25807, 14877, 11123, 22400, 16777, 4696, 269, 24581, 25192, 267, 12597, 543, 23969, 21181, 267, 543, 19756, 17309, 616, 1898, 269, 589, 838, 663, 1410, 610, 16536, 896, 4494, 543, 9157, 3382, 8712, 616, 519, 1655, 7802, 269, 3680, 7509, 13652, 6137, 10412, 267, 799, 666, 9260, 596, 1524, 543, 21102, 707, 1560, 3002, 269, 5620, 513, 2545, 659, 331, 6072, 610, 5162, 1698, 4712, 547, 5957, 896, 707, 24743, 952, 596, 1205, 4411, 563, 293, 25893, 281, 715, 14110, 2207, 11123, 294, 4953, 22400, 32577, 2975, 674, 7644, 4306, 589, 2839, 270, 4932, 2207, 294, 27301, 312, 918, 3951, 269, 5269, 2386, 596, 723, 1945, 585, 10138, 13496, 543, 513, 2230, 24120, 547, 20758, 1055, 3834, 1278, 8926, 269, 20780, 6190, 1426, 543, 1216, 585, 519, 3259, 540, 707, 16939, 267, 3653, 11149, 267, 543, 22302, 9075, 269, 13268, 713, 6539, 538, 519, 10545, 267, 27162, 4554, 2009, 5679, 2355, 871, 563, 10485, 311, 281, 715, 14110, 2207, 570, 5495, 6224, 11404, 12717, 11123, 7246, 16739, 10758, 674, 5308, 306, 6579, 306, 269, 4634, 7244, 593, 873, 666, 3441, 873, 267, 865, 1205, 513, 1434, 1413, 689, 519, 13946, 779, 3044, 13009, 563, 10345, 309, 2894, 281, 715, 14110, 2207, 631, 5357, 12239, 4888, 8379, 28940, 267, 12813, 3198, 4811, 267, 674, 7419, 22835, 267, 10758, 744, 8025, 2207, 700, 9281, 292, 11123, 5960, 9358, 13673, 4596, 7419, 9898, 5442, 589, 11404, 12717, 269, 29190, 14498, 568, 17866, 267, 543, 513, 1360, 1271, 2460, 540, 1272, 593, 3618, 269, 6145, 519, 4224, 21272, 267, 649, 782, 991, 547, 23507, 543, 2149, 891, 16782, 269, 21727, 532, 23572, 6806, 1813, 547, 3043, 9224, 10627, 2068, 568, 1169, 1309, 591, 779, 5539, 563, 292, 20846, 281, 715, 14110, 2207, 14160, 8379, 289, 6167, 29308, 10758, 10396, 15674, 29486, 5308, 292, 681, 8016, 298, 269, 2659, 2597, 666, 20247, 17690, 5458, 267, 11493, 536, 746, 619, 267, 14686, 4224, 15942, 267, 610, 9748, 540, 1159, 1278, 532, 18574, 543, 13897, 269, 1684, 711, 7914, 538, 513, 13946, 267, 607, 519, 6989, 949, 581, 25182, 982, 596, 8275, 269, 2142, 530, 776, 540, 1256, 10709, 532, 1996, 519, 13946, 3774, 610, 1022, 1486, 6350, 687, 269, 11408, 2638, 16841, 1354, 7555, 909, 282, 519, 18109, 949, 581, 6251, 982, 596, 1589, 269, 11408, 5402, 4983, 519, 2619, 1354, 596, 1354, 23312, 609, 13657, 563, 763, 2063, 1079, 2798, 616, 865, 6654, 602, 789, 991, 1100, 7778, 912, 301, 12114, 281, 715, 14110, 2207, 23184, 17252, 2752, 589, 623, 3951, 267, 590, 2562, 298, 9816, 4041, 267, 10758, 14160, 9281, 293, 563, 307, 2894, 281, 715, 14110, 2207, 23184, 5442, 15674, 6167, 29308, 294, 4629, 26685, 654, 2969, 2207, 563, 16605, 891, 4557, 4388, 538, 2247, 543, 596, 786, 581, 2111, 547, 9108, 2972, 835, 540, 4541, 3047, 779, 1034, 10578, 5054, 256, 0, 10112, 1539, 725, 547, 519, 2262, 16938, 303, 3881, 14872, 454, 303, 5085, 307, 267, 10902, 269, 634, 2960, 540, 513, 28458, 609, 519, 4552, 593, 282, 513, 6151, 610, 3768, 5962, 12404, 282, 513, 2960, 12873, 609, 519, 4552, 344, 610, 15144, 569, 8720, 593, 621, 563, 303, 5085, 307, 267, 10902, 269, 634, 1560, 540, 1022, 26755, 7166, 676, 513, 17761, 330, 563, 303, 5085, 307, 267, 10902, 269, 630, 21065, 5387, 264, 5274, 2960, 563, 303, 5085, 307, 267, 8231, 269, 630, 10520, 1438, 264, 1677, 10514, 731, 267, 607, 609, 28862, 563, 303, 5085, 307, 267, 8231, 269, 630, 10520, 1438, 264, 1677, 12235, 282, 547, 946, 607, 513, 23828, 563, 303, 5085, 307, 267, 8231, 269, 630, 842, 4920, 1438, 264, 1677, 4764, 610, 30339, 8185, 563, 303, 5085, 307, 267, 8231, 269, 630, 842, 4920, 1438, 264, 1677, 12235, 856, 1913, 563, 303, 5085, 307, 267, 8231, 269, 630, 10520, 1438, 264, 1677, 10726, 610, 5734, 267, 2523, 14578, 563, 303, 5085, 307, 267, 8231, 269, 1677, 1847, 6385, 267, 2523, 538, 610, 593, 513, 6655, 766, 563, 303, 5085, 307, 267, 10902, 269, 589, 9514, 610, 8482, 689, 1945, 16207, 563, 303, 5085, 307, 667, 32052, 267, 8231, 269, 630, 842, 4920, 1438, 264, 1677, 4764, 8185, 563, 303, 5085, 307, 5508, 5990, 667, 8104, 267, 10902, 269, 630, 571, 516, 264, 630, 21065, 5387, 264, 630, 21355, 11703, 264, 1323, 1799, 617, 4733, 267, 7050, 7274, 540, 4568, 26583, 519, 6640, 1310, 15029, 7092, 15639, 2589, 610, 513, 13793, 1478, 267, 799, 4422, 3564, 10970, 11868, 519, 24255, 547, 4929, 1743, 684, 5287, 1145, 282, 5635, 4552, 540, 519, 2915, 563, 303, 5085, 307, 681, 5588, 267, 10902, 269, 589, 2068, 7133, 519, 4552, 610, 15144, 540, 606, 3662, 563, 303, 5085, 307, 267, 10902, 269, 634, 21039, 4552, 344, 10359, 540, 513, 25850, 563, 303, 5085, 307, 267, 10902, 269, 10610, 8720, 540, 513, 2713, 3662, 563, 303, 5085, 307, 267, 8231, 269, 10011, 267, 9292, 331, 267, 610, 12235, 14578, 609, 930, 23828, 282, 834, 5445, 10652, 1540, 1142, 824, 609, 6777, 27750, 8487, 303, 5085, 307, 267, 8231, 269, 31105, 543, 10514, 731, 609, 610, 607, 952, 609, 28862, 282, 834, 335, 3881, 519, 10584, 609, 2055, 8487, 303, 5085, 307, 267, 8231, 269, 14175, 8185, 282, 834, 21607, 593, 707, 4764, 10359, 734, 621, 781, 26311, 3544, 256, 8487, 288, 14704, 6487, 646, 814, 6913, 19870, 711, 950, 972, 568, 4986, 2451, 547, 1039, 267, 855, 950, 972, 568, 4986, 2451, 547, 1491, 2476, 269, 0, 9743, 2315, 531, 20505, 1321, 2904, 476, 1001, 278, 1315, 476, 1704, 281, 3953, 31477, 454, 272, 264, 589, 5075, 12592, 676, 519, 15683, 543, 31344, 1275, 540, 519, 1480, 1268, 269, 634, 15683, 540, 519, 1268, 1281, 711, 2874, 538, 1018, 789, 1378, 610, 3132, 855, 538, 519, 1268, 3294, 269, 5272, 1268, 568, 513, 13442, 540, 2696, 267, 568, 2111, 547, 917, 519, 5168, 543, 547, 11884, 3406, 585, 519, 1434, 267, 543, 568, 5921, 547, 1265, 2407, 1145, 538, 4906, 2441, 269, 4706, 31344, 1275, 1797, 602, 3388, 538, 519, 1514, 1272, 814, 519, 1480, 1268, 607, 4099, 543, 11148, 4724, 519, 3102, 1434, 540, 519, 1268, 607, 922, 3804, 563, 273, 264, 589, 25340, 1480, 543, 1514, 5075, 540, 519, 3924, 269, 12333, 960, 267, 16310, 1373, 513, 1797, 547, 1020, 707, 1378, 13344, 543, 1761, 543, 547, 4194, 609, 15683, 519, 2115, 540, 707, 1378, 1920, 267, 4927, 3565, 547, 519, 1455, 1434, 540, 2486, 563, 274, 264, 589, 2565, 2070, 540, 2686, 1646, 269, 5272, 2085, 538, 1686, 568, 538, 513, 1259, 519, 1267, 540, 513, 1279, 2686, 4720, 269, 4475, 267, 513, 2565, 1702, 540, 713, 4720, 543, 875, 621, 814, 6216, 539, 938, 1378, 942, 543, 2528, 910, 5976, 922, 2318, 543, 2942, 3344, 268, 2636, 1004, 547, 581, 513, 1732, 851, 540, 519, 4478, 543, 547, 960, 811, 7561, 563, 275, 264, 1323, 10700, 2495, 540, 1272, 269, 5274, 7919, 723, 1044, 2813, 547, 2648, 543, 3914, 2696, 543, 3976, 1570, 5370, 910, 1256, 1498, 2556, 910, 798, 711, 4628, 14183, 741, 19818, 585, 8788, 269, 901, 24235, 1590, 1118, 1022, 3318, 547, 25058, 2933, 19100, 547, 741, 1920, 267, 960, 267, 543, 824, 2238, 267, 855, 1510, 30534, 789, 616, 1152, 513, 1797, 547, 2648, 2696, 543, 938, 12543, 563, 276, 264, 589, 7096, 3661, 602, 1480, 2601, 568, 5827, 540, 6616, 519, 5168, 269, 634, 7872, 540, 2257, 267, 5609, 1356, 640, 538, 1920, 543, 1514, 3347, 267, 543, 519, 1482, 8471, 14496, 540, 519, 5837, 3741, 267, 4096, 2390, 1480, 2601, 1373, 2111, 547, 917, 4641, 3294, 269, 4475, 23463, 320, 3318, 2115, 547, 581, 18617, 543, 1020, 3621, 7744, 269, 769, 824, 1913, 267, 6662, 267, 2601, 539, 543, 9836, 3206, 563, 277, 264, 1230, 9109, 1027, 1702, 543, 1995, 540, 741, 1378, 5132, 269, 898, 568, 538, 5132, 538, 2696, 910, 4171, 3803, 13414, 568, 2441, 910, 1141, 519, 10700, 2495, 540, 1480, 1272, 568, 4362, 269, 14088, 14688, 6616, 543, 2713, 519, 2418, 540, 519, 20227, 1281, 711, 9813, 622, 519, 1268, 269, 2201, 519, 14669, 267, 519, 1268, 3587, 811, 1480, 676, 1373, 9415, 547, 14710, 741, 25796, 1145, 998, 741, 2648, 547, 2696, 543, 547, 1866, 563, 278, 264, 1323, 2702, 547, 3310, 543, 581, 6205, 269, 5081, 7724, 1246, 3401, 269, 28968, 4271, 908, 689, 938, 9945, 991, 547, 1020, 5718, 1983, 547, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22479, 1388, 1436, 454, 258, 577, 4474, 2013, 538, 513, 5569, 609, 2409, 7531, 258, 288, 1505, 568, 606, 2962, 602, 5124, 666, 1685, 593, 513, 4062, 540, 1239, 269, 634, 454, 258, 25346, 630, 4700, 1310, 2012, 538, 2012, 26644, 3890, 6645, 5124, 547, 1118, 519, 2140, 3890, 1505, 454, 258, 716, 593, 519, 4756, 2012, 269, 5272, 1505, 568, 4553, 676, 513, 1305, 540, 24324, 2676, 258, 20357, 2409, 1419, 991, 3606, 1344, 547, 798, 741, 960, 563, 258, 6546, 1344, 568, 3177, 3330, 519, 24324, 269, 634, 2140, 3890, 1599, 454, 258, 323, 3996, 333, 1406, 991, 1022, 3606, 1344, 267, 865, 922, 24324, 616, 8900, 269, 8528, 4067, 815, 834, 3385, 3138, 767, 864, 4840, 2745, 28442, 26644, 15405, 2745, 28442, 269, 21639, 15405, 2745, 28442, 31573, 31156, 258, 3519, 13906, 523, 566, 281, 12673, 543, 2409, 454, 14140, 12173, 815, 834, 3385, 4840, 18431, 12173, 815, 834, 5979, 767, 864, 4840, 21459, 12173, 815, 1101, 12173, 1341, 834, 834, 1341, 2063, 12173, 454, 2745, 263, 21459, 12173, 994, 2745, 2891, 15916, 267, 834, 1341, 2407, 12173, 26644, 3890, 1341, 834, 10590, 2020, 332, 20687, 815, 9497, 15916, 267, 834, 1341, 2407, 12173, 26644, 3890, 1341, 834, 32405, 2745, 9852, 20687, 2020, 258, 5715, 550, 454, 2745, 2891, 23911, 5602, 2745, 19629, 339, 23911, 15419, 258, 6124, 7412, 454, 2745, 2891, 299, 16722, 24097, 333, 23911, 14826, 290, 14826, 297, 6072, 29441, 15419, 258, 1805, 686, 6137, 16543, 10628, 454, 325, 2948, 924, 9078, 4833, 815, 1412, 9226, 1412, 454, 2745, 630, 325, 2948, 924, 9078, 4833, 994, 325, 2948, 924, 9078, 4833, 815, 5172, 9078, 4833, 25331, 29328, 4590, 2745, 630, 325, 2948, 924, 9078, 4833, 994, 325, 2948, 924, 9078, 4833, 815, 5172, 9078, 4833, 7456, 29328, 4590, 2745, 630, 325, 2948, 924, 9078, 4833, 994, 0, 9690, 318, 22852, 815, 18358, 821, 3299, 1412, 18314, 3299, 1412, 22764, 3299, 1412, 27917, 3299, 1412, 325, 633, 23300, 2908, 318, 22852, 815, 18358, 338, 1460, 3299, 1412, 27917, 3299, 1412, 324, 697, 3299, 1412, 325, 633, 3299, 1412, 1084, 262, 6540, 1721, 3593, 538, 1007, 318, 22852, 912, 14851, 3593, 538, 1699, 318, 22852, 912, 453, 13537, 2891, 2791, 786, 991, 513, 1007, 27024, 23528, 28432, 912, 453, 13537, 2891, 1607, 27024, 568, 2139, 1701, 2020, 0, 3698, 2749, 18045, 787, 6262, 640, 267, 2197, 2187, 14851, 2197, 2652, 1412, 25901, 12466, 453, 453, 331, 6327, 815, 2749, 26644, 3890, 1341, 14307, 834, 1341, 2197, 269, 21639, 4590, 28432, 912, 453, 453, 331, 6327, 815, 2749, 26644, 3890, 1341, 14307, 834, 1341, 2197, 26644, 4590, 16596, 4087, 692, 323, 652, 1588, 815, 2749, 18045, 787, 3488, 338, 21468, 6210, 3299, 1412, 577, 850, 5073, 2745, 5560, 652, 1588, 2020, 323, 652, 1588, 815, 2749, 18045, 787, 3488, 321, 10667, 3299, 1412, 25901, 5073, 2745, 5560, 652, 1588, 2020, 323, 652, 1588, 815, 2749, 18045, 787, 3488, 2017, 517, 3299, 1412, 1388, 344, 5073, 2745, 5560, 652, 1588, 264, 0, 5035, 14871, 10031, 22592, 6449, 8181, 9191, 1345, 267, 1101, 12173, 267, 2063, 12173, 267, 2085, 267, 4008, 2187, 453, 19677, 8807, 1009, 815, 1101, 12173, 454, 453, 19677, 16096, 815, 2063, 12173, 454, 453, 19677, 269, 720, 815, 2085, 454, 453, 19677, 3052, 2658, 815, 4008, 454, 22592, 4766, 318, 12528, 4311, 2187, 453, 13537, 4311, 8807, 1009, 26644, 3890, 1341, 834, 834, 1341, 1582, 16096, 26644, 3890, 1341, 834, 568, 834, 1341, 1193, 4311, 269, 720, 264, 1341, 834, 1032, 2025, 834, 1341, 1582, 3052, 2658, 26644, 3890, 1341, 834, 1701, 12467, 22592, 26250, 318, 12528, 4311, 2187, 453, 13537, 2891, 8702, 267, 834, 1341, 1582, 8807, 1009, 26644, 3890, 1341, 834, 834, 1341, 1582, 16096, 26644, 3890, 1341, 834, 10590, 2020, 5035, 17658, 850, 2471, 10031, 22592, 6449, 8181, 9191, 1345, 267, 22864, 2187, 453, 19677, 269, 1440, 643, 850, 2471, 815, 22864, 454, 22592, 1397, 318, 1440, 643, 850, 2471, 4311, 2187, 453, 14851, 1582, 269, 1440, 643, 850, 2471, 2652, 1412, 611, 2381, 12466, 4848, 453, 11279, 3827, 815, 834, 4754, 4840, 453, 453, 19197, 1582, 269, 1440, 643, 850, 2471, 11203, 1412, 611, 2381, 12466, 4848, 453, 11279, 3827, 815, 834, 4754, 2254, 4840, 453, 453, 332, 20687, 815, 27719, 333, 1607, 3593, 834, 1341, 27704, 1341, 834, 1039, 9708, 4799, 453, 453, 332, 20687, 6834, 27719, 333, 1607, 3593, 834, 1341, 27704, 1341, 834, 18419, 9708, 4799, 453, 453, 332, 20687, 6834, 27719, 333, 1607, 3593, 834, 1341, 27704, 1341, 834, 7333, 3755, 4799, 453, 13537, 9852, 20687, 2020, 5035, 1520, 2381, 263, 27165, 2187, 22592, 6449, 8181, 9191, 1345, 267, 1101, 12173, 267, 2063, 12173, 267, 2085, 267, 4008, 267, 22864, 2187, 453, 453, 27273, 14061, 1029, 8181, 9191, 14140, 12173, 267, 2063, 12173, 267, 2085, 267, 4008, 994, 453, 19677, 269, 1440, 643, 850, 2471, 815, 17658, 850, 2471, 263, 1440, 643, 850, 2471, 994, 453, 258, 3698, 1397, 318, 1440, 643, 850, 2471, 4311, 2187, 4848, 453, 28744, 9852, 20687, 2020, 14140, 318, 12528, 815, 1520, 2381, 3488, 7596, 9445, 3299, 1412, 14673, 3299, 476, 4029, 267, 1412, 325, 24580, 3299, 1412, 12528, 17210, 14140, 318, 12528, 6155, 525, 9216, 318, 12528, 4590, 14140, 318, 12528, 3052, 22901, 318, 12528, 10797, 14140, 318, 12528, 269, 1440, 643, 850, 2471, 20481, 318, 1440, 643, 850, 2471, 30800, 0, 18411, 423, 355, 361, 424, 488, 353, 425, 488, 372, 424, 503, 478, 14091, 480, 368, 28990, 354, 17432, 357, 424, 486, 502, 263, 272, 994, 18257, 692, 5814, 4351, 607, 678, 692, 320, 815, 11713, 321, 815, 1592, 3890, 1948, 2652, 285, 513, 424, 503, 478, 536, 14091, 359, 357, 423, 495, 494, 14091, 373, 486, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 692, 320, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 2639, 28744, 5416, 314, 271, 20285, 321, 815, 1592, 263, 9792, 263, 272, 267, 476, 1556, 4917, 28744, 6357, 2020, 322, 815, 513, 1341, 536, 454, 28744, 6262, 2020, 2745, 5416, 994, 320, 6910, 263, 277, 994, 2745, 5416, 2020, 258, 7696, 2433, 476, 274, 423, 366, 486, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 29306, 494, 476, 278, 14602, 482, 14091, 482, 352, 14602, 490, 563, 320, 27044, 263, 274, 267, 476, 278, 994, 2745, 5416, 2020, 258, 10563, 507, 372, 28990, 494, 29306, 484, 32629, 498, 1402, 2433, 14091, 356, 357, 14091, 356, 486, 424, 356, 478, 423, 356, 487, 10563, 508, 494, 423, 355, 361, 14602, 502, 21844, 364, 496, 27338, 10563, 480, 361, 423, 507, 376, 424, 356, 494, 563, 320, 21014, 4590, 2745, 5416, 994, 258, 476, 274, 14602, 372, 423, 491, 365, 424, 488, 353, 14602, 502, 21844, 364, 496, 10563, 480, 361, 423, 507, 376, 424, 356, 494, 563, 320, 21014, 263, 274, 994, 2745, 5416, 2020, 258, 21844, 364, 496, 14602, 482, 10563, 364, 378, 424, 499, 482, 424, 482, 506, 10563, 510, 506, 422, 365, 364, 2433, 4894, 454, 320, 31927, 263, 275, 994, 2745, 5416, 2020, 258, 21844, 364, 496, 14602, 482, 10563, 364, 378, 424, 499, 482, 424, 482, 506, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 14091, 366, 486, 425, 502, 372, 423, 354, 376, 2132, 454, 2745, 5416, 28827, 263, 276, 11723, 320, 815, 1592, 263, 9792, 263, 272, 267, 476, 1556, 4917, 2745, 5416, 2020, 258, 513, 423, 355, 361, 424, 488, 353, 425, 488, 372, 14602, 502, 10563, 368, 507, 17432, 358, 2433, 2040, 5416, 994, 2745, 4433, 636, 5416, 11723, 2745, 32384, 5416, 4917, 2745, 263, 2381, 5416, 4917, 258, 10563, 499, 482, 423, 508, 502, 424, 366, 502, 423, 509, 376, 10563, 497, 364, 423, 358, 368, 10563, 507, 372, 28990, 494, 423, 497, 353, 10563, 353, 495, 10563, 369, 506, 424, 484, 490, 32174, 496, 14602, 482, 10563, 364, 378, 424, 499, 482, 10563, 370, 506, 423, 510, 354, 563, 2745, 263, 2381, 263, 278, 267, 476, 276, 267, 476, 274, 11723, 258, 14091, 361, 368, 28990, 495, 424, 506, 482, 423, 350, 506, 10563, 482, 508, 14602, 490, 2433, 4351, 14091, 359, 357, 423, 497, 486, 14602, 502, 695, 28984, 17432, 357, 424, 486, 502, 10563, 480, 361, 424, 504, 358, 563, 2745, 5416, 994, 337, 11075, 28984, 5416, 994, 2745, 5416, 2020, 258, 424, 502, 353, 423, 355, 482, 424, 364, 357, 424, 486, 506, 10563, 510, 499, 423, 510, 361, 454, 320, 31699, 4590, 2745, 5416, 2020, 337, 11075, 28984, 5416, 994, 2745, 5416, 2020, 258, 14091, 480, 368, 423, 355, 376, 424, 364, 357, 424, 486, 506, 10563, 510, 499, 423, 510, 361, 4990, 263, 516, 2091, 18989, 994, 320, 31699, 263, 516, 2091, 18989, 994, 2745, 5416, 2020, 258, 14091, 373, 486, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 2433, 2312, 4590, 320, 269, 27234, 4590, 2745, 5416, 994, 0, 258, 14091, 496, 353, 424, 356, 495, 14602, 478, 10563, 484, 490, 424, 486, 502, 454, 5814, 19523, 692, 258, 338, 903, 14714, 19734, 815, 1930, 2891, 6358, 17902, 2580, 834, 4135, 15419, 3698, 9258, 3287, 2187, 825, 1267, 815, 476, 271, 454, 825, 1247, 1535, 3436, 476, 271, 912, 1038, 1267, 815, 1267, 2608, 476, 1015, 1341, 1535, 4939, 476, 1015, 454, 1038, 1535, 815, 1535, 12262, 476, 1015, 454, 825, 2132, 1267, 692, 3698, 568, 28269, 3287, 2187, 825, 952, 1535, 2652, 476, 272, 912, 1038, 2132, 8771, 454, 825, 585, 1775, 538, 2039, 263, 273, 267, 1535, 2260, 273, 266, 272, 2187, 1038, 952, 1535, 4939, 1775, 2652, 476, 271, 912, 2018, 2132, 8771, 454, 825, 3116, 912, 1038, 2132, 6936, 692, 333, 815, 703, 9272, 31156, 320, 815, 1592, 9852, 777, 17301, 267, 3403, 14061, 20889, 3890, 11723, 1721, 1535, 538, 513, 912, 825, 31575, 815, 9258, 3287, 994, 825, 952, 568, 28269, 6025, 5404, 264, 2652, 6936, 912, 1038, 1820, 6025, 5404, 267, 1439, 815, 1412, 1412, 264, 0, 5228, 32614, 318, 691, 1104, 20446, 692, 531, 8224, 815, 18358, 320, 3299, 1412, 321, 3299, 1412, 322, 3299, 1412, 323, 3299, 1412, 324, 3299, 1412, 325, 3299, 1412, 326, 3299, 1412, 327, 3299, 1412, 328, 3299, 1412, 329, 3299, 1412, 330, 3299, 1412, 331, 3299, 1412, 332, 22779, 2018, 1412, 333, 3299, 1412, 334, 3299, 1412, 335, 3299, 1412, 336, 3299, 1412, 337, 3299, 1412, 338, 3299, 1412, 339, 3299, 1412, 340, 3299, 1412, 341, 3299, 1412, 342, 3299, 1412, 343, 3299, 1412, 344, 3299, 1412, 345, 262, 6540, 454, 3698, 32614, 263, 21622, 26748, 267, 6521, 20311, 267, 4287, 2187, 825, 1267, 815, 834, 4840, 825, 3193, 318, 531, 8224, 16229, 815, 7003, 263, 531, 8224, 264, 910, 476, 272, 454, 825, 952, 4287, 538, 834, 523, 13892, 257, 610, 4287, 538, 834, 1372, 13892, 13426, 1038, 585, 1347, 538, 10750, 26748, 912, 2018, 17146, 318, 12072, 16229, 815, 476, 271, 454, 2018, 952, 1347, 538, 9904, 912, 3546, 952, 4287, 2652, 1412, 523, 13892, 12466, 7386, 17146, 318, 12072, 16229, 815, 9904, 28827, 263, 10420, 264, 1341, 6521, 20311, 454, 7386, 952, 17146, 318, 12072, 16229, 3436, 3193, 318, 531, 8224, 16229, 912, 13376, 17146, 318, 12072, 16229, 815, 17146, 318, 12072, 16229, 910, 3193, 318, 531, 8224, 16229, 910, 476, 272, 454, 3546, 8640, 4287, 2652, 1412, 1372, 13892, 12466, 7386, 17146, 318, 12072, 16229, 815, 9904, 28827, 263, 10420, 264, 910, 6521, 20311, 454, 7386, 952, 17146, 318, 12072, 16229, 2999, 476, 271, 912, 13376, 17146, 318, 12072, 16229, 815, 3193, 318, 531, 8224, 16229, 1341, 17146, 318, 12072, 16229, 1341, 476, 272, 692, 3546, 1267, 6834, 9904, 314, 3333, 26661, 318, 12072, 16229, 2639, 2018, 3116, 912, 3546, 1267, 6834, 1347, 454, 1038, 1820, 6600, 10454, 2715, 323, 3925, 348, 323, 568, 281, 1496, 346, 14310, 348, 316, 15419, 825, 3116, 912, 1038, 1820, 6600, 257, 18823, 8091, 3903, 540, 519, 4287, 281, 1496, 346, 323, 3925, 348, 316, 257, 9239, 339, 787, 318, 3467, 815, 6936, 692, 6112, 2119, 318, 3467, 912, 825, 1820, 263, 8421, 334, 994, 825, 4287, 815, 3403, 2891, 13911, 1412, 523, 13892, 262, 547, 17278, 267, 1826, 1412, 1372, 13892, 262, 547, 1232, 7973, 24097, 333, 20257, 12294, 4590, 825, 1257, 815, 3403, 2891, 13911, 707, 5048, 24097, 333, 20257, 12294, 4590, 825, 6521, 815, 703, 9272, 2891, 13911, 519, 6521, 1297, 24097, 333, 8442, 2020, 825, 32614, 263, 21622, 26748, 284, 3667, 267, 6521, 20311, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11851, 338, 4550, 8882, 1663, 27833, 513, 3644, 2534, 538, 8983, 269, 24695, 339, 1278, 1763, 476, 1001, 272, 282, 2918, 281, 5379, 273, 268, 275, 563, 2568, 269, 3687, 329, 2426, 700, 267, 3733, 537, 978, 7288, 590, 267, 661, 684, 1506, 684, 681, 267, 2672, 20219, 267, 717, 342, 836, 918, 297, 267, 1635, 2426, 654, 298, 267, 1696, 620, 269, 2372, 2075, 564, 514, 14001, 30091, 11151, 661, 29669, 3968, 269, 2201, 20799, 13759, 476, 1001, 276, 282, 277, 281, 14695, 6734, 268, 2190, 563, 8618, 269, 25795, 3570, 645, 267, 4425, 643, 514, 717, 269, 4165, 643, 12637, 8069, 538, 1646, 585, 1990, 11986, 3644, 5563, 269, 14997, 11914, 338, 476, 1001, 280, 282, 1321, 281, 6200, 563, 7830, 269, 20858, 589, 267, 9149, 836, 30795, 784, 700, 267, 808, 1014, 343, 532, 590, 269, 22384, 540, 844, 2075, 564, 514, 689, 5613, 547, 5612, 4339, 1990, 11986, 630, 638, 2075, 564, 514, 29620, 1990, 11986, 22085, 273, 289, 9539, 306, 274, 2926, 848, 1040, 12713, 305, 343, 643, 476, 1001, 277, 563, 8287, 269, 1261, 324, 18191, 2426, 700, 267, 715, 7666, 344, 523, 570, 307, 267, 10878, 1506, 684, 631, 298, 267, 9947, 4149, 324, 784, 623, 269, 769, 3031, 7480, 1198, 540, 32064, 6950, 1996, 22085, 273, 289, 9539, 306, 274, 2926, 848, 540, 2098, 296, 25605, 3644, 543, 741, 2497, 2534, 2078, 269, 4437, 27370, 565, 32731, 476, 1001, 278, 282, 4375, 281, 25870, 268, 2641, 563, 5038, 269, 2098, 537, 631, 267, 15173, 8926, 334, 700, 267, 808, 532, 12505, 700, 267, 2473, 532, 836, 962, 267, 16441, 962, 267, 26284, 30591, 918, 267, 1696, 620, 269, 12856, 268, 13808, 2078, 540, 32064, 1355, 536, 604, 23341, 20127, 1996, 1990, 11986, 3644, 3968, 269, 4437, 32554, 24103, 565, 476, 1708, 271, 282, 277, 281, 13647, 280, 7830, 563, 4792, 269, 3474, 557, 345, 631, 298, 267, 1325, 5937, 657, 926, 9049, 267, 1488, 321, 629, 589, 295, 267, 1325, 268, 3725, 327, 2905, 589, 297, 267, 19869, 601, 342, 1695, 573, 10790, 269, 12713, 817, 599, 28621, 3660, 10072, 540, 4550, 13463, 6312, 4345, 645, 3644, 32064, 1355, 1250, 878, 564, 514, 268, 476, 274, 14114, 8573, 5069, 333, 657, 728, 2059, 609, 844, 2075, 564, 514, 689, 2871, 1512, 320, 6845, 20235, 18424, 3762, 269, 18142, 14997, 808, 476, 1708, 271, 282, 2764, 281, 20862, 268, 280, 563, 5780, 269, 670, 11445, 11219, 2426, 595, 267, 29883, 6953, 2465, 918, 267, 932, 334, 784, 6953, 9774, 700, 267, 8479, 11219, 3019, 589, 267, 808, 2801, 268, 5754, 537, 978, 590, 267, 1530, 2426, 6953, 11445, 645, 267, 1696, 620, 269, 4165, 643, 12637, 2534, 540, 844, 2075, 564, 514, 476, 278, 8573, 5069, 333, 657, 728, 1996, 11188, 322, 710, 15435, 13165, 3644, 269, 4165, 643, 12637, 1763, 476, 1220, 280, 282, 10037, 281, 6507, 268, 10037, 563, 6858, 269, 5839, 773, 329, 808, 267, 5576, 7564, 742, 11632, 267, 20855, 6308, 661, 267, 570, 1276, 2675, 1877, 337, 589, 267, 25362, 1188, 2742, 1512, 681, 300, 267, 26728, 742, 1090, 590, 267, 1696, 620, 269, 12713, 822, 22355, 540, 519, 32064, 565, 844, 2075, 564, 514, 538, 30564, 1608, 1407, 1310, 5711, 7245, 540, 844, 2075, 564, 514, 989, 569, 322, 821, 610, 678, 583, 514, 269, 808, 667, 8543, 2233, 476, 1001, 276, 282, 7176, 281, 29496, 277, 268, 1704, 563, 6924, 269, 918, 11047, 328, 962, 269, 769, 3623, 4815, 1353, 540, 519, 7409, 7480, 2360, 540, 522, 548, 2202, 514, 267, 25697, 11391, 2536, 565, 267, 543, 844, 2075, 564, 514, 593, 519, 966, 303, 1789, 3940, 689, 24954, 3644, 269, 2271, 808, 11627, 10331, 2289, 476, 1001, 275, 282, 279, 281, 14444, 277, 268, 10463, 563, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 476, 275, 269, 271, 4139, 17821, 563, 763, 8313, 568, 13931, 896, 16671, 1635, 543, 568, 1930, 1569, 269, 14645, 568, 609, 2278, 543, 4847, 547, 11677, 13629, 2924, 1510, 9993, 269, 0, 1607, 2376, 568, 1152, 2139, 538, 519, 7300, 3898, 269, 8281, 519, 7300, 547, 2070, 519, 2376, 267, 607, 1134, 607, 922, 2404, 5515, 543, 7515, 563, 763, 16042, 476, 1911, 628, 16683, 540, 519, 15713, 540, 519, 1977, 15482, 5948, 19752, 513, 2540, 540, 9740, 543, 3356, 538, 519, 4610, 540, 5959, 2069, 267, 5959, 2257, 267, 543, 3318, 5539, 269, 634, 476, 3445, 267, 1822, 2818, 540, 519, 1977, 15482, 5948, 616, 3318, 18939, 540, 519, 1507, 1895, 540, 476, 2918, 24782, 945, 7036, 539, 693, 15281, 698, 4673, 22484, 593, 4864, 476, 274, 267, 476, 6977, 280, 267, 547, 3715, 519, 1101, 8628, 5959, 3919, 538, 519, 2136, 2276, 269, 769, 519, 4627, 1296, 602, 723, 4553, 267, 1977, 25185, 814, 6913, 513, 15657, 602, 814, 2016, 621, 1158, 5718, 563, 2005, 729, 538, 519, 2136, 2276, 602, 25185, 729, 1101, 6444, 607, 513, 5094, 267, 4830, 3924, 609, 922, 1378, 6101, 1982, 540, 5959, 2069, 269, 1717, 267, 693, 519, 2490, 540, 519, 2540, 1082, 5959, 3506, 941, 1869, 796, 611, 1941, 539, 5010, 16904, 267, 799, 16795, 15024, 267, 1128, 21114, 676, 6896, 25185, 267, 7142, 856, 540, 6228, 269, 634, 20774, 1746, 8116, 540, 519, 5959, 3924, 814, 1044, 519, 1977, 15482, 5948, 781, 454, 288, 595, 7728, 7838, 312, 5508, 667, 7728, 3201, 11550, 16165, 8577, 269, 808, 24717, 269, 476, 4198, 280, 282, 10204, 263, 273, 2567, 14225, 269, 8222, 281, 1015, 269, 1911, 272, 10768, 4821, 269, 4198, 280, 269, 27157, 1911, 1220, 30663, 1704, 454, 17357, 517, 8785, 12754, 4741, 454, 20578, 1125, 707, 808, 24717, 8416, 1995, 676, 8939, 835, 610, 811, 3584, 689, 519, 1592, 2630, 563, 8620, 513, 2123, 2272, 610, 1129, 538, 547, 281, 0, 1607, 2376, 568, 1152, 2139, 538, 519, 7300, 3898, 269, 8281, 519, 7300, 547, 2070, 519, 2376, 267, 607, 1134, 607, 922, 2404, 5515, 543, 7515, 563, 763, 946, 540, 1566, 1756, 538, 3624, 568, 15151, 9833, 676, 519, 5545, 8128, 607, 835, 540, 519, 3123, 540, 519, 1232, 611, 775, 540, 602, 10504, 269, 1677, 971, 606, 6708, 1281, 713, 4743, 2291, 602, 621, 568, 1767, 602, 856, 540, 513, 1297, 540, 5545, 3579, 625, 6964, 538, 519, 3624, 11219, 17702, 2782, 267, 513, 1978, 6712, 26438, 519, 1566, 1756, 4356, 543, 585, 713, 941, 4547, 1354, 519, 5545, 19524, 269, 13298, 982, 1450, 873, 547, 2132, 547, 3567, 543, 6338, 519, 4356, 972, 267, 621, 568, 4080, 602, 646, 1185, 873, 20898, 909, 543, 8929, 269, 25392, 519, 2146, 540, 2797, 4690, 538, 519, 18112, 550, 267, 543, 2489, 7874, 4743, 1063, 3567, 543, 4279, 6628, 267, 519, 605, 19945, 1756, 21274, 540, 519, 3703, 2229, 616, 5310, 4502, 6236, 607, 8744, 538, 513, 1167, 867, 656, 3693, 602, 949, 2285, 8373, 538, 519, 2104, 563, 15578, 808, 4338, 3198, 2464, 292, 6730, 744, 18444, 9331, 269, 808, 24717, 269, 476, 5002, 271, 282, 18958, 311, 9654, 263, 1724, 2567, 8660, 277, 1700, 8660, 278, 269, 8222, 281, 1015, 269, 1911, 272, 10768, 4821, 269, 5002, 271, 269, 271, 2190, 3583, 272, 4968, 24496, 5400, 454, 17357, 517, 8785, 12754, 4741, 454, 20578, 1125, 707, 808, 24717, 8416, 1995, 676, 8939, 835, 610, 811, 3584, 689, 519, 1592, 2630, 563, 8620, 513, 2123, 2272, 610, 1129, 538, 547, 281, 0, 16631, 25198, 281, 13600, 569, 700, 4875, 1299, 6258, 609, 519, 27692, 8065, 7732, 454, 1103, 11450, 609, 519, 27692, 8065, 7732, 267, 649, 2709, 513, 10865, 12899, 543, 1451, 827, 3163, 269, 3163, 25198, 2934, 513, 11000, 543, 4901, 827, 2257, 543, 875, 621, 5540, 17857, 13022, 2103, 593, 513, 2199, 543, 2123, 1377, 269, 3776, 3584, 723, 24132, 689, 589, 547, 2098, 269, 21411, 267, 12777, 621, 779, 1044, 645, 547, 2098, 282, 649, 4076, 14437, 827, 519, 3163, 540, 645, 1136, 543, 2743, 609, 519, 10615, 540, 519, 918, 753, 320, 4975, 25089, 9950, 778, 3275, 1888, 786, 581, 8242, 513, 693, 519, 4098, 540, 519, 3923, 563, 1607, 3923, 649, 1451, 827, 20710, 3101, 519, 13834, 19147, 1107, 1677, 903, 602, 12706, 13241, 10341, 563, 5804, 7998, 547, 4070, 267, 9162, 723, 5423, 5481, 540, 3214, 547, 11654, 11678, 538, 13241, 4610, 269, 13028, 875, 891, 9162, 267, 2899, 30630, 5097, 547, 8695, 267, 723, 7960, 547, 5000, 782, 1453, 998, 1404, 547, 2263, 2257, 267, 2029, 267, 4702, 267, 543, 6128, 269, 20710, 3101, 519, 13834, 19147, 1107, 1677, 903, 602, 12706, 13241, 10341, 3091, 513, 3140, 1413, 693, 875, 9162, 5280, 1453, 1020, 519, 1983, 602, 8329, 547, 1967, 538, 13241, 2861, 11678, 267, 543, 875, 519, 10229, 540, 891, 9162, 814, 4957, 936, 942, 547, 2992, 2686, 2418, 563, 288, 3240, 21025, 2317, 814, 6039, 607, 570, 8276, 779, 4354, 1807, 540, 26888, 2094, 476, 1001, 278, 543, 568, 519, 1225, 1807, 540, 519, 8858, 267, 20710, 3101, 519, 13834, 19147, 281, 1677, 903, 602, 12706, 13241, 10341, 269, 2701, 6585, 513, 22601, 538, 28668, 689, 8230, 27267, 5441, 543, 606, 631, 6993, 269, 538, 3778, 7467, 5525, 689, 519, 23101, 560, 1144, 23958, 5358, 267, 590, 7419, 312, 1107, 2290, 2632, 320, 269, 4438, 25138, 779, 476, 1789, 4458, 4876, 267, 1352, 814, 6039, 538, 1225, 31247, 543, 10070, 2359, 7158, 585, 2947, 15882, 269, 9737, 476, 1960, 273, 543, 476, 1960, 277, 267, 1352, 5129, 513, 1883, 1909, 538, 2870, 519, 1007, 6115, 3557, 3778, 7467, 630, 307, 659, 5448, 267, 26146, 264, 543, 513, 476, 2537, 267, 1822, 10264, 11054, 1279, 3856, 14266, 593, 6115, 3557, 779, 1686, 269, 25138, 568, 6537, 547, 3584, 1644, 547, 9698, 585, 2021, 267, 865, 1352, 20888, 519, 4316, 547, 1225, 622, 713, 14266, 269, 0, 2419, 4618, 334, 5651, 1807, 1756, 281, 1215, 513, 13458, 995, 14308, 645, 1815, 877, 513, 4303, 540, 681, 720, 593, 4864, 476, 3066, 267, 476, 3192, 271, 454, 299, 5308, 4888, 294, 5085, 2464, 910, 23420, 268, 23085, 15628, 6785, 602, 5101, 11968, 13353, 685, 30832, 1782, 11204, 1977, 5628, 334, 729, 513, 2146, 593, 6316, 563, 2690, 1296, 789, 1185, 2938, 15280, 1145, 543, 17140, 535, 6856, 936, 7128, 30468, 267, 896, 325, 24962, 3506, 609, 930, 540, 519, 10782, 6749, 13050, 3928, 538, 519, 4182, 267, 21678, 2923, 3795, 267, 1863, 3118, 4070, 602, 8719, 476, 274, 267, 1822, 5321, 267, 543, 513, 19018, 622, 1297, 540, 11204, 1977, 7980, 13059, 689, 10476, 538, 1560, 11435, 563, 3719, 1256, 519, 15628, 941, 711, 5423, 585, 519, 535, 1722, 540, 8265, 13137, 602, 30192, 593, 519, 3905, 267, 1159, 690, 4445, 14349, 12784, 540, 4119, 269, 476, 3066, 267, 476, 3192, 271, 267, 950, 1244, 583, 625, 1031, 15237, 3154, 543, 15731, 547, 771, 704, 572, 606, 4550, 13305, 28126, 2782, 17431, 693, 20698, 10044, 5244, 1310, 14775, 547, 513, 5634, 19717, 693, 513, 7404, 4508, 528, 4558, 563, 763, 7887, 267, 1973, 5006, 19717, 538, 11968, 13353, 2094, 20242, 1206, 2947, 1296, 4505, 16768, 1896, 3108, 269, 1879, 621, 729, 936, 267, 11968, 13353, 8648, 262, 1101, 932, 4618, 334, 6241, 626, 11676, 523, 6428, 1794, 541, 729, 4666, 267, 543, 1079, 1866, 941, 6180, 958, 20754, 269, 6168, 476, 1220, 1004, 941, 896, 10654, 267, 476, 4037, 1876, 11268, 10492, 543, 606, 2150, 1245, 2338, 540, 3087, 2209, 941, 13676, 267, 476, 4817, 10315, 6472, 941, 10032, 610, 8697, 267, 476, 4510, 5656, 941, 10788, 3042, 543, 5216, 2101, 11642, 1185, 1044, 1305, 563, 2690, 2947, 5756, 267, 519, 11204, 1977, 2146, 267, 15628, 267, 543, 1053, 540, 21337, 1686, 723, 6825, 519, 16683, 540, 602, 1554, 269, 901, 3018, 789, 786, 798, 621, 1586, 269, 634, 476, 2004, 628, 16683, 540, 519, 932, 4618, 334, 5651, 1807, 1756, 568, 593, 4864, 476, 3066, 267, 476, 1708, 271, 563, 763, 16033, 725, 540, 519, 3350, 1634, 607, 519, 2817, 932, 4618, 334, 5651, 1807, 1756, 18830, 519, 10476, 2782, 723, 22157, 547, 1445, 593, 519, 2669, 540, 6428, 1794, 541, 267, 1287, 513, 4686, 21337, 5639, 538, 13416, 2923, 269, 1809, 972, 779, 865, 1454, 811, 602, 1058, 581, 15422, 827, 713, 1554, 538, 5101, 700, 6993, 269, 950, 932, 4618, 657, 18796, 547, 581, 4862, 563, 763, 2817, 932, 4618, 334, 5651, 1807, 1756, 15292, 3459, 693, 5617, 1386, 699, 5244, 2282, 476, 274, 6113, 9335, 543, 674, 21392, 569, 22971, 693, 827, 476, 280, 513, 6230 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6209, 5048, 563, 258, 2659, 1982, 1058, 1489, 5546, 609, 9170, 689, 476, 274, 909, 547, 630, 663, 1519, 264, 476, 1015, 5011, 563, 258, 1403, 513, 1297, 540, 5011, 3544, 713, 2039, 568, 9411, 267, 3097, 258, 1287, 707, 1982, 1058, 4159, 606, 3617, 5470, 5048, 780, 15893, 15058, 5334, 1938, 815, 703, 9272, 2891, 1692, 1082, 5011, 1281, 519, 3337, 723, 286, 27328, 12849, 815, 2715, 274, 281, 262, 28256, 4120, 22779, 1038, 476, 275, 281, 262, 638, 7310, 10561, 22779, 1038, 476, 276, 281, 262, 25871, 6782, 22779, 1038, 476, 277, 281, 262, 28411, 6782, 22779, 1038, 476, 278, 281, 262, 515, 696, 6782, 22779, 1038, 476, 279, 281, 262, 24934, 6782, 22779, 1038, 476, 280, 281, 262, 12061, 6782, 22779, 1038, 476, 1015, 281, 262, 20657, 6782, 7055, 1038, 7684, 692, 604, 1297, 15058, 5334, 1938, 2999, 476, 274, 610, 1297, 15058, 5334, 1938, 3436, 476, 1015, 912, 825, 1820, 3488, 2791, 9411, 513, 1297, 3544, 519, 6724, 540, 713, 1982, 269, 5073, 12828, 912, 825, 1820, 3488, 288, 4939, 338, 814, 4939, 328, 5011, 9538, 4939, 630, 12849, 314, 15893, 15058, 5334, 1938, 3910, 1297, 15058, 5334, 1938, 4297, 0, 332, 19318, 31260, 815, 18358, 327, 25352, 3299, 1412, 344, 600, 21036, 3299, 1412, 338, 15120, 25431, 23300, 2745, 9852, 19318, 31260, 2020, 332, 19318, 31260, 314, 271, 316, 815, 1412, 3027, 10620, 7055, 2745, 9852, 19318, 31260, 9239, 258, 1952, 2056, 454, 332, 19318, 31260, 815, 18358, 327, 25352, 3299, 1412, 344, 600, 21036, 3299, 1412, 338, 15120, 25431, 23300, 2745, 9852, 19318, 31260, 2020, 332, 19318, 31260, 6910, 3488, 3027, 10620, 5073, 2745, 9852, 19318, 31260, 2020, 258, 1952, 2056, 547, 8900, 1592, 454, 332, 19318, 31260, 815, 11713, 332, 19318, 31260, 6910, 3488, 327, 25352, 5073, 332, 19318, 31260, 6910, 3488, 344, 600, 21036, 5073, 332, 19318, 31260, 6910, 3488, 338, 15120, 25431, 5073, 2745, 9852, 19318, 31260, 2020, 258, 12133, 532, 454, 332, 19318, 31260, 815, 18358, 327, 25352, 3299, 1412, 344, 600, 21036, 3299, 1412, 338, 15120, 25431, 23300, 2745, 9852, 19318, 31260, 2020, 332, 19318, 31260, 27044, 263, 271, 267, 1412, 3027, 10620, 5073, 2745, 9852, 19318, 31260, 2020, 258, 1642, 3948, 454, 332, 19318, 31260, 815, 18358, 327, 25352, 3299, 1412, 344, 600, 21036, 3299, 1412, 338, 15120, 25431, 23300, 2745, 9852, 19318, 31260, 2020, 23437, 5179, 31260, 314, 271, 2639, 2745, 9852, 19318, 31260, 2020, 258, 1402, 1505, 454, 332, 19318, 31260, 815, 18358, 327, 25352, 3299, 1412, 344, 600, 21036, 3299, 1412, 338, 15120, 25431, 262, 6540, 14140, 318, 21077, 815, 5179, 31260, 21014, 263, 271, 994, 2745, 3488, 763, 1101, 27576, 594, 11262, 729, 513, 1412, 1341, 1101, 318, 21077, 26644, 3890, 1341, 1412, 9538, 2020, 258, 24525, 1505, 454, 332, 19318, 31260, 815, 18358, 327, 25352, 3299, 1412, 344, 600, 21036, 3299, 1412, 338, 15120, 25431, 3299, 1412, 3027, 10620, 23300, 2745, 9852, 19318, 31260, 2020, 332, 19318, 31260, 31927, 3488, 3027, 10620, 5073, 2745, 9852, 19318, 31260, 2020, 332, 19318, 31260, 815, 18358, 327, 25352, 3299, 1412, 344, 600, 21036, 3299, 1412, 338, 15120, 25431, 3299, 1412, 3027, 10620, 23300, 2745, 9852, 19318, 31260, 2020, 1729, 334, 318, 19763, 815, 1412, 3027, 10620, 7055, 332, 19318, 31260, 31927, 263, 1729, 334, 318, 19763, 994, 2745, 9852, 19318, 31260, 994, 2745, 19629, 333, 834, 1341, 1932, 318, 19763, 26644, 3890, 1341, 834, 568, 1932, 7199, 585, 803, 23528, 0, 258, 10432, 476, 275, 692, 258, 13628, 5751, 692, 258, 4894, 782, 5918, 27289, 689, 519, 1592, 2630, 269, 630, 8196, 519, 1547, 12248, 3890, 1505, 2020, 12849, 815, 18358, 7692, 3299, 1412, 298, 10154, 3299, 1412, 8649, 7701, 3299, 1412, 7692, 3299, 1412, 298, 10154, 262, 6540, 2745, 3799, 1868, 29644, 3488, 7692, 10807, 2020, 1721, 1775, 538, 4408, 912, 28768, 453, 328, 815, 1775, 266, 272, 454, 258, 946, 513, 1247, 8520, 547, 16111, 2307, 519, 3593, 547, 3403, 513, 2262, 454, 258, 2394, 789, 1826, 1412, 10181, 9538, 4495, 789, 1826, 513, 2262, 538, 267, 1039, 621, 547, 513, 1592, 563, 258, 4495, 789, 16718, 519, 8520, 267, 946, 513, 585, 8520, 547, 3977, 782, 519, 3688, 1369, 519, 1592, 780, 12528, 318, 10181, 815, 1412, 7055, 6112, 3593, 318, 10181, 11203, 1412, 10181, 12466, 28768, 28768, 0, 5035, 8827, 6769, 825, 1219, 960, 4311, 267, 15358, 267, 2619, 267, 1775, 267, 1267, 8029, 1038, 952, 1775, 2652, 7003, 25225, 8029, 2018, 1267, 6910, 9638, 987, 11468, 29573, 2018, 2132, 5897, 1038, 2619, 6910, 25225, 5157, 29573, 1038, 1582, 269, 1740, 25225, 267, 2619, 267, 1775, 1341, 476, 272, 267, 1267, 3418, 1038, 2619, 21014, 31476, 1038, 1582, 269, 1740, 25225, 267, 2619, 267, 1775, 1341, 476, 272, 267, 1267, 10142, 825, 1219, 29162, 4311, 267, 15358, 8029, 1038, 5727, 1477, 1038, 2433, 6943, 15358, 281, 5903, 27776, 15947, 1038, 2433, 337, 6943, 281, 5903, 314, 8266, 27776, 14963, 1477, 1038, 5727, 1477, 1038, 1267, 815, 1496, 15947, 1038, 2619, 815, 1496, 15947, 1038, 1582, 269, 1740, 25225, 267, 2619, 267, 476, 271, 267, 1267, 3418, 1038, 2132, 1267, 24653, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 521, 815, 8827, 14052, 825, 1820, 4433, 16553, 338, 1115, 8443, 272, 267, 476, 273, 267, 476, 274, 8079, 3418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28184, 5793, 607, 28184, 454, 4186, 11456, 815, 476, 271, 692, 3698, 733, 11456, 9078, 8475, 10857, 4565, 305, 582, 25222, 2187, 825, 1219, 30775, 7776, 318, 4186, 541, 10031, 1038, 2518, 733, 11456, 454, 1038, 733, 11456, 815, 733, 11456, 1341, 476, 272, 454, 1038, 561, 4565, 305, 582, 25222, 26769, 14808, 29495, 284, 1598, 263, 4186, 11456, 4917, 1038, 561, 4565, 305, 582, 25222, 269, 12898, 263, 1911, 271, 267, 30775, 7776, 318, 4186, 541, 994, 825, 30775, 7776, 318, 4186, 541, 10797, 13568, 11253, 815, 28184, 11053, 330, 4590, 13568, 11253, 26644, 2891, 6944, 720, 332, 13121, 21540, 1495, 657, 5602, 331, 4565, 305, 582, 25222, 815, 28184, 11482, 8475, 263, 13568, 11253, 267, 535, 326, 6889, 13582, 5602, 331, 4565, 305, 582, 25222, 4877, 871, 4590, 4186, 11456, 9078, 8475, 10857, 4565, 305, 582, 25222, 994, 23336, 333, 10907, 7776, 815, 28184, 269, 3719, 2023, 263, 13568, 11253, 267, 1257, 8782, 5141, 1664, 6864, 328, 16948, 3955, 668, 704, 513, 733, 720, 332, 3299, 8700, 284, 2004, 267, 4971, 284, 13568, 11253, 6155, 652, 5797, 994, 23336, 333, 10907, 7776, 4877, 871, 4590, 13568, 11253, 6230, 664, 31467, 3890, 0, 5814, 28184, 5793, 607, 28184, 454, 5228, 28184, 5793, 1104, 512, 339, 330, 692, 13568, 11253, 815, 28184, 11053, 330, 4590, 258, 15318, 541, 5707, 25222, 14255, 23891, 11253, 454, 13568, 11253, 26644, 2891, 2381, 3873, 23891, 601, 514, 3873, 12711, 320, 15419, 258, 25785, 320, 522, 512, 16120, 14833, 13005, 23891, 11253, 454, 258, 13568, 11253, 269, 637, 14184, 263, 16178, 267, 16178, 2020, 258, 1231, 518, 597, 1257, 334, 14255, 23891, 11253, 454, 1777, 330, 11482, 8475, 263, 13568, 11253, 267, 1257, 6889, 341, 322, 1609, 320, 15764, 334, 19804, 1257, 514, 14833, 10590, 1040, 28186, 263, 26383, 284, 271, 267, 992, 284, 271, 994, 13568, 11253, 6230, 664, 31467, 4590, 0, 11133, 815, 703, 9272, 3488, 21745, 924, 19804, 1003, 3266, 281, 10807, 2020, 604, 1003, 283, 271, 912, 825, 1820, 3488, 525, 572, 1003, 3266, 20527, 2258, 520, 16343, 5073, 19197, 1003, 285, 271, 912, 825, 1820, 3488, 525, 572, 1003, 3266, 20527, 27082, 16343, 5073, 12828, 912, 825, 1820, 3488, 525, 572, 1003, 3266, 20527, 476, 271, 10807, 0, 4289, 320, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 6540, 4289, 320, 6910, 263, 277, 2020, 2745, 17338, 320, 2020, 258, 24525, 522, 3706, 24982, 522, 340, 513, 8732, 320, 7117, 964, 324, 10937, 1121, 1478, 454, 4289, 320, 21014, 4590, 258, 4289, 320, 21014, 263, 274, 2020, 2745, 17338, 320, 2020, 4289, 320, 27044, 263, 275, 267, 273, 269, 276, 2020, 2745, 17338, 320, 2020, 4289, 320, 31927, 263, 273, 2020, 2745, 17338, 320, 2020, 258, 867, 655, 524, 29266, 324, 454, 4289, 320, 31699, 10797, 2745, 17338, 320, 2020, 258, 867, 655, 1232, 29266, 324, 454, 258, 4289, 320, 31699, 4590, 258, 4289, 320, 18622, 2091, 4590, 28744, 17338, 320, 2020, 4289, 320, 18622, 2091, 10797, 2745, 17338, 320, 994, 0, 258, 11133, 815, 476, 272, 454, 16482, 258, 6112, 1003, 2999, 476, 1015, 912, 258, 825, 1820, 16325, 994, 258, 825, 1003, 815, 1003, 266, 272, 692, 258, 333, 727, 815, 1412, 576, 4290, 807, 7055, 16482, 258, 1721, 1577, 571, 538, 562, 727, 912, 258, 825, 1820, 263, 2280, 571, 2020, 258, 1721, 1003, 538, 2039, 263, 272, 267, 277, 2187, 258, 825, 1820, 16325, 2020, 4289, 320, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 6540, 1721, 1003, 538, 30458, 912, 825, 1820, 16325, 264, 0, 5814, 795, 5459, 454, 5814, 4351, 454, 5228, 4351, 1104, 28219, 842, 454, 18411, 2903, 1239, 689, 795, 5459, 3758, 585, 519, 3349, 3568, 1894, 1063, 9413, 543, 11051, 269, 3097, 2252, 606, 11051, 15548, 513, 1978, 7260, 610, 513, 7260, 814, 513, 1978, 17076, 607, 621, 588, 18732, 2676, 6533, 513, 1883, 17032, 6292, 16216, 2416, 7260, 281, 18503, 610, 17076, 281, 332, 990, 773, 264, 568, 6740, 538, 519, 8675, 3097, 18411, 5976, 1930, 3488, 30447, 12459, 5459, 10807, 607, 795, 5459, 18316, 272, 912, 825, 1894, 4671, 762, 815, 795, 5459, 269, 2903, 27203, 5459, 18316, 272, 2020, 18411, 2903, 1239, 585, 11051, 267, 1142, 7127, 3568, 1344, 827, 513, 1978, 17076, 270, 716, 816, 267, 1519, 3097, 20130, 17017, 4535, 4266, 540, 519, 17076, 543, 519, 9413, 646, 24172, 5249, 538, 454, 18411, 5976, 1930, 3488, 716, 832, 12459, 5459, 10807, 607, 795, 5459, 18316, 273, 912, 825, 11051, 4671, 762, 815, 795, 5459, 269, 2903, 27203, 5459, 18316, 273, 2020, 18411, 2903, 1239, 585, 9413, 267, 1142, 7127, 3568, 1344, 827, 513, 1978, 7260, 267, 1519, 3097, 1492, 5305, 4266, 267, 4216, 5604, 543, 588, 18732, 11051, 454, 18411, 5976, 1930, 3488, 332, 990, 625, 12459, 5459, 10807, 607, 795, 5459, 18316, 274, 912, 825, 9413, 4671, 762, 815, 795, 5459, 269, 2903, 27203, 5459, 18316, 274, 2020, 258, 13765, 585, 513, 1978, 17076, 267, 952, 519, 7260, 588, 18732, 5641, 338, 849, 3568, 1864, 17017, 454, 18503, 12173, 815, 834, 7775, 1633, 334, 25204, 4840, 984, 815, 1894, 4671, 762, 314, 18503, 12173, 2639, 1721, 1605, 332, 538, 9413, 4671, 762, 14277, 299, 867, 540, 519, 681, 902, 281, 634, 5565, 570, 10183, 257, 6012, 273, 14158, 825, 952, 16216, 12661, 314, 271, 316, 2652, 17076, 12173, 2187, 1038, 1820, 2891, 12148, 5602, 2745, 263, 984, 2020, 324, 12661, 267, 1605, 332, 8266, 815, 4351, 26716, 4069, 17338, 263, 30447, 4671, 762, 29096, 3890, 4917, 2745, 16216, 12661, 994, 2745, 16216, 12661, 8266, 2020, 604, 263, 7003, 16216, 12661, 8266, 264, 3436, 476, 272, 2187, 825, 3903, 815, 4351, 26716, 4069, 16216, 12661, 8266, 994, 825, 1820, 263, 577, 4069, 314, 271, 7481, 825, 2119, 912, 1363, 17076, 8266, 815, 11051, 4671, 762, 314, 577, 4069, 314, 271, 316, 6012, 272, 2639, 1363, 952, 1605, 332, 538, 17076, 8266, 912, 2018, 1820, 263, 12148, 994, 825, 4849, 6206, 13286, 912, 1038, 1820, 2891, 7659, 3085, 1405, 2291, 5602, 825, 2119, 912, 1363, 7260, 8266, 815, 9413, 4671, 762, 314, 577, 4069, 314, 271, 316, 6012, 273, 2639, 1363, 952, 1605, 332, 538, 7260, 8266, 912, 2018, 1820, 263, 12148, 994, 825, 4849, 6206, 13286, 912, 1038, 1820, 2891, 7659, 3085, 1405, 2291, 257, 9239, 0, 258, 2398, 520, 344, 2313, 320, 774, 1495, 6511, 454, 258, 5239, 476, 276, 267, 476, 1001, 278, 692, 5228, 14854, 1104, 22177, 3698, 2721, 320, 306, 13645, 6262, 2187, 825, 5727, 2414, 2721, 513, 2638, 518, 4580, 269, 634, 2539, 2451, 7944, 1058, 581, 693, 2990, 476, 271, 267, 271, 454, 672, 543, 519, 4604, 1058, 581, 2699, 543, 3109, 267, 609, 1142, 4009, 1373, 476, 736, 19641, 538, 2450, 563, 672, 634, 2539, 2451, 7944, 1058, 581, 3109, 267, 543, 519, 4806, 1058, 581, 20367, 454, 672, 3109, 543, 2699, 10945, 267, 585, 513, 2698, 540, 476, 5038, 10945, 538, 606, 476, 279, 343, 279, 4806, 563, 672, 8173, 825, 2681, 6262, 994, 825, 2253, 6958, 650, 4590, 825, 4464, 263, 736, 994, 825, 1318, 263, 3445, 994, 825, 4464, 263, 736, 994, 825, 1318, 263, 3445, 994, 825, 4464, 263, 736, 994, 825, 1318, 263, 3445, 994, 825, 4464, 263, 736, 994, 825, 1318, 263, 3445, 994, 825, 4464, 263, 736, 994, 825, 1439, 6958, 650, 4590, 825, 1948, 4679, 519, 3432, 540, 519, 1184, 540, 2679, 513, 2638, 518, 4580, 454, 825, 3432, 8987, 1911, 2020, 258, 4358, 689, 476, 271, 267, 271, 2990, 454, 326, 9369, 630, 271, 267, 271, 994, 258, 8520, 998, 476, 271, 268, 278, 454, 1721, 1535, 538, 2039, 630, 279, 2187, 672, 585, 586, 538, 2039, 630, 279, 2187, 1363, 952, 630, 9230, 343, 20742, 264, 260, 273, 11203, 271, 15892, 17264, 2721, 320, 306, 13645, 3488, 1042, 5073, 1363, 3116, 912, 17264, 2721, 320, 306, 13645, 3488, 18872, 5073, 672, 4050, 1575, 4590, 672, 3893, 334, 630, 271, 267, 630, 343, 266, 272, 264, 2608, 736, 994, 672, 20805, 1144, 4590, 323, 821, 4590, 258, 608, 1080, 519, 1982, 1310, 3593, 30390, 621, 454, 1410, 527, 517, 28781, 30800, 0, 5814, 4351, 5897, 2745, 2891, 8702, 547, 519, 1297, 27378, 3014, 1701, 3418, 320, 815, 703, 9272, 2891, 2237, 519, 1101, 1297, 540, 707, 2039, 269, 1422, 333, 23645, 834, 17903, 321, 815, 703, 9272, 2891, 2237, 519, 2063, 1297, 540, 707, 2039, 269, 1422, 333, 23645, 834, 17903, 2745, 2891, 1607, 568, 6345, 272, 4960, 1701, 3418, 2745, 2891, 10817, 612, 707, 1297, 1701, 3418, 28744, 28840, 3418, 15893, 815, 4351, 26716, 4069, 263, 9792, 5416, 267, 536, 17903, 15893, 15058, 15220, 1734, 815, 476, 271, 1477, 15893, 15058, 15220, 766, 815, 476, 271, 1477, 6112, 6936, 6769, 825, 533, 272, 815, 703, 9272, 2891, 9563, 834, 17903, 825, 952, 533, 272, 3436, 1297, 6769, 1038, 1820, 2891, 2791, 9411, 513, 2462, 1297, 269, 7490, 4283, 513, 1507, 1297, 1701, 3418, 1038, 1297, 15058, 15220, 1734, 6834, 476, 272, 1477, 1038, 3136, 1477, 825, 8640, 533, 272, 2999, 1297, 6769, 1038, 1820, 2891, 2791, 9411, 513, 1507, 1297, 269, 7490, 4283, 513, 3152, 1701, 3418, 1038, 1297, 15058, 15220, 1734, 6834, 476, 272, 1477, 1038, 3136, 1477, 825, 3116, 6769, 1038, 1820, 2891, 2791, 7058, 621, 1318, 1701, 3418, 1038, 1297, 15058, 15220, 1734, 6834, 476, 272, 1477, 1038, 2736, 5897, 2745, 2891, 32156, 273, 2490, 1631, 1701, 3418, 320, 815, 703, 9272, 2891, 2237, 519, 1101, 1297, 540, 707, 2039, 269, 1422, 333, 23645, 834, 17903, 321, 815, 703, 9272, 2891, 2237, 519, 2063, 1297, 540, 707, 2039, 269, 1422, 333, 23645, 834, 17903, 11133, 1499, 815, 4351, 26716, 4069, 263, 9792, 5416, 267, 536, 17903, 2745, 3799, 13246, 3418, 6112, 476, 6936, 6769, 825, 533, 273, 815, 703, 9272, 2891, 9563, 834, 17903, 825, 952, 533, 273, 3436, 2338, 6769, 1038, 1820, 2891, 2791, 9411, 3152, 1297, 269, 7490, 4283, 513, 1507, 1297, 1701, 3418, 1038, 1297, 15058, 15220, 766, 6834, 476, 272, 1477, 1038, 3136, 1477, 825, 8640, 533, 273, 2999, 2338, 6769, 1038, 1820, 2891, 2791, 9411, 513, 1507, 1297, 269, 7490, 4283, 513, 3152, 1297, 1701, 3418, 1038, 1297, 15058, 15220, 766, 6834, 476, 272, 1477, 1038, 3136, 1477, 825, 3116, 6769, 1038, 1820, 2891, 2791, 7058, 621, 1318, 1701, 3418, 1038, 1297, 15058, 15220, 766, 6834, 476, 272, 1477, 1038, 2736, 5897, 604, 1297, 15058, 15220, 766, 2999, 1297, 15058, 15220, 1734, 6769, 825, 1820, 2891, 32156, 273, 4465, 269, 26761, 272, 4503, 1701, 3418, 19197, 1297, 15058, 15220, 1734, 2999, 1297, 15058, 15220, 766, 6769, 825, 1820, 2891, 32156, 272, 4465, 269, 26761, 273, 4503, 1701, 3418, 12828, 6769, 825, 1820, 2891, 2467, 568, 513, 17063, 1063, 6345, 272, 543, 6345, 273, 1701, 10142, 2745, 6600, 257, 32156, 272, 4465, 2715, 15893, 15058, 15220, 1734, 348, 543, 26761, 273, 4465, 2715, 15893, 15058, 15220, 766, 348, 8442, 0, 2745, 3488, 22704, 9498, 5073, 12296, 25507, 9272, 3488, 11767, 8700, 29125, 19417, 25507, 9272, 3488, 11767, 4463, 29125, 323, 3704, 25507, 9272, 3488, 11767, 3178, 10807, 2020, 19327, 284, 12296, 265, 19417, 454, 14179, 2541, 284, 12296, 265, 19417, 265, 323, 3704, 454, 2745, 3488, 22704, 815, 3299, 19327, 10086, 24127, 815, 3299, 14179, 2541, 264, 0, 2745, 3488, 25821, 640, 3915, 3934, 1807, 476, 273, 269, 271, 17210, 307, 2752, 9281, 293, 318, 1556, 815, 476, 271, 269, 28192, 277, 1240, 454, 307, 2752, 9281, 293, 318, 4029, 815, 476, 271, 269, 15793, 280, 2764, 692, 30198, 858, 25507, 9272, 3488, 7617, 13545, 858, 286, 476, 1556, 610, 476, 4029, 29125, 323, 2905, 318, 2224, 284, 15615, 9272, 3488, 11767, 3232, 946, 538, 737, 2662, 29125, 321, 3739, 5091, 904, 25507, 9272, 3488, 11767, 1297, 540, 536, 3739, 2395, 10807, 2020, 604, 13545, 858, 2525, 1556, 912, 825, 6059, 10734, 650, 284, 307, 2752, 9281, 293, 318, 1556, 265, 323, 2905, 318, 2224, 265, 321, 3739, 5091, 904, 454, 19197, 13545, 858, 2525, 4029, 912, 825, 6059, 10734, 650, 284, 307, 2752, 9281, 293, 318, 4029, 265, 323, 2905, 318, 2224, 265, 321, 3739, 5091, 904, 692, 2745, 3488, 15307, 13846, 3915, 281, 3299, 652, 13846, 10734, 650, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2104, 6585, 585, 519, 13508, 3924, 543, 2149, 519, 1857, 952, 1169, 24468, 2069, 1982, 538, 519, 8087, 2829, 729, 26886, 676, 519, 14643, 1547, 1548, 568, 1514, 1689, 2697, 2436, 596, 1589, 621, 568, 513, 1514, 1689, 267, 1514, 5126, 267, 610, 1514, 3028, 3390, 1946, 798, 596, 1589, 713, 267, 543, 1287, 2671, 707, 269, 0, 290, 1245, 2112, 281, 513, 5618, 1686, 519, 7250, 10514, 1310, 519, 865, 341, 2884, 10570, 10514, 1967, 267, 519, 2856, 540, 2679, 513, 7250, 10514, 4607, 1007, 791, 28127, 538, 519, 8087, 2829, 269, 17823, 1399, 1296, 689, 959, 6541, 519, 694, 4490, 2053, 814, 2813, 835, 540, 519, 17046, 4609, 6313, 519, 1646, 540, 519, 10570, 10514, 519, 812, 21908, 1788, 267, 799, 3769, 930, 540, 1686, 781, 6574, 3621, 8186, 267, 1291, 547, 519, 1439, 540, 519, 2112, 1996, 519, 29534, 269, 3245, 476, 3707, 273, 547, 476, 3707, 276, 267, 721, 3744, 5249, 593, 513, 5728, 1982, 1572, 519, 812, 21908, 1788, 1451, 875, 713, 3366, 547, 519, 8798, 540, 519, 10570, 10514, 269, 910, 519, 10570, 10514, 781, 12705, 593, 3621, 1686, 713, 3896, 4570, 919, 519, 11141, 2470, 540, 519, 1646, 540, 519, 10570, 10514, 607, 851, 540, 3621, 1686, 621, 786, 1865, 519, 8906, 602, 3744, 1500, 2429, 1686, 602, 941, 3857, 958, 1271, 547, 519, 1788, 269, 4855, 856, 811, 827, 519, 1686, 540, 10570, 10514, 1686, 267, 1519, 7044, 267, 4277, 4930, 267, 5961, 267, 3140, 2934, 543, 811, 519, 8087, 2829, 543, 865, 341, 2884, 9769, 3576, 519, 1291, 538, 4586, 1103, 713, 3992, 1053, 1382, 875, 519, 1646, 540, 519, 10570, 10514, 4299, 1004, 1312, 1282, 543, 2094, 1158, 2112, 13797, 3040, 4766, 519, 2621, 3056, 909, 547, 1547, 476, 3707, 276, 24203, 476, 1724, 7022, 3771, 787, 959, 3861, 16137, 540, 519, 6228, 540, 10570, 10514, 1646, 1646, 1634, 538, 1686, 10570, 6561, 5748, 267, 1547, 8866, 1451, 827, 519, 1686, 540, 519, 10570, 10514, 1282, 1158, 2112, 13797, 12628, 593, 554, 30090, 543, 562, 698, 30245, 540, 30978, 547, 1439, 32685, 273, 543, 1646, 1982, 585, 519, 10570, 4586, 18128, 757, 3056, 909, 547, 519, 10570, 10514, 713, 15415, 568, 827, 519, 1883, 2621, 602, 1500, 519, 8087, 2829, 1616, 547, 10514, 30978, 543, 519, 1919, 602, 1312, 5011, 1705, 547, 1142, 824, 269, 3778, 7084, 948, 267, 2491, 519, 1646, 540, 519, 10570, 10514, 267, 1018, 568, 519, 5311, 540, 2621, 602, 3366, 547, 519, 1646, 540, 519, 10570, 10514, 1018, 568, 519, 1547, 24607, 1788, 15415, 4277, 812, 21908, 1788, 15415, 543, 5013, 585, 3214, 616, 2143, 2630, 1927, 609, 3877, 540, 1271, 2621, 3056, 909, 547, 519, 1646, 540, 519, 10570, 10514, 563, 289, 1716, 7322, 5956, 519, 1101, 609, 513, 4901, 540, 2621, 3056, 547, 519, 1646, 540, 519, 13350, 3349, 543, 519, 8906, 540, 5925, 13808, 543, 6046, 31612, 713, 3296, 3091, 3833, 513, 7658, 1670, 1686, 267, 609, 536, 1716, 7322, 5693, 18188, 4724, 1010, 3119, 4690, 281, 519, 1646, 540, 519, 10570, 10514, 543, 267, 538, 1880, 267, 726, 583, 28016, 9604, 269, 634, 10514, 602, 1011, 10757, 538, 519, 2011, 1657, 519, 2749, 267, 12628, 676, 606, 7819, 17177, 828, 267, 729, 519, 1101, 2479, 946, 540, 606, 10570, 14049, 538, 1480, 1686, 621, 9327, 1405, 581, 519, 2063, 269, 22227, 971, 607, 891, 4734, 2370, 8969, 602, 519, 3119, 3804, 3297, 519, 1646, 540, 519, 10570, 10514, 729, 547, 2322, 519, 8087, 2829, 538, 513, 840, 655, 5799, 2990, 538, 519, 2022, 8705, 1158, 267, 543, 602, 547, 4586, 4263, 5669, 10514, 2504, 538, 10570, 10514, 281, 1646, 543, 7819, 9754, 540, 2067, 1686, 910, 519, 812, 21908, 1788, 519, 812, 21908, 1788, 3366, 547, 2799, 1547, 3778, 7084, 948, 267, 1646, 540, 519, 10570, 10514, 267, 1018, 568, 519, 5311, 540, 2621, 602, 3366, 547, 519, 1646, 540, 519, 10570, 10514, 1018, 568, 519, 5311, 540, 1547, 808, 29122, 1727, 523, 10773, 568, 1419, 1572, 519, 4651, 540, 519, 10570, 10514, 585, 3056, 519, 812, 21908, 1788, 267, 519, 1982, 602, 2919, 519, 1101, 6046, 14049, 1282, 1158, 2112, 13797, 795, 29122, 1547, 634, 8087, 2829, 3587, 519, 1101, 543, 1152, 4182, 547, 946, 10570, 14049, 787, 1282, 29053, 950, 621, 12772, 606, 10570, 10514, 593, 519, 29534, 2749, 540, 554, 30090, 1291, 1650, 476, 3707, 276, 7819, 17177, 828, 4586, 288, 5618, 1686, 540, 6046, 9604, 2829, 519, 1158, 781, 1101, 6046, 9604, 16411, 593, 5104, 569, 476, 1626, 267, 476, 3707, 276, 267, 538, 1007, 30067, 4815, 267, 950, 519, 8087, 2829, 7318, 922, 1101, 6046, 10514, 711, 1614, 4374, 2663, 267, 519, 1158, 4957, 269, 634, 1650, 540, 519, 10570, 10514, 18965, 519, 1646, 540, 606, 10570, 10514, 538, 519, 8087, 2829, 1451, 827, 1699, 2621, 538, 3140, 5133, 593, 938, 4586, 23208, 7291, 1646, 540, 10570, 2497, 519, 6602, 540, 519, 23377, 3366, 2047, 547, 519, 6602, 540, 31612, 543, 6038, 547, 519, 10570, 10514, 269, 634, 5683, 7521, 936, 519, 3375, 547, 6749, 519, 10570, 10514, 786, 2760, 581, 17251, 519, 23038, 1705, 267, 2705, 267, 3142, 606, 1439, 547, 519, 1034, 16160, 2112, 538, 1686, 519, 812, 21908, 1788, 602, 3812, 621, 7152, 519, 7872, 540, 875, 513, 4182, 781, 2200, 1223, 581, 20834, 1242, 269, 634, 476, 1220, 276, 1837, 513, 1686, 540, 519, 8087, 2829, 3792, 1206, 513, 5432, 3159, 267, 19163, 602, 7022, 959, 3861, 1759, 1010, 3375, 547, 6749, 519, 10514, 5631, 593, 513, 1950, 11810, 540, 519, 1942, 538, 1480, 2729, 952, 519, 2112, 941, 547, 3136, 281, 968, 29019, 519, 8087, 2829, 946, 519, 10570, 10514, 1100, 835, 6785, 875, 1279, 30978, 1131, 3180, 856, 6100, 0, 301, 11246, 30316, 22432, 281, 18789, 3281, 739, 570, 3518, 2401, 7711, 611, 2378, 8816, 1948, 24591, 763, 23945, 564, 454, 1103, 513, 1007, 5850, 538, 519, 1520, 2378, 8816, 4804, 3590, 267, 649, 1205, 1524, 543, 18660, 676, 14299, 4771, 909, 930, 3574, 543, 16459, 930, 14743, 547, 1118, 513, 10464, 267, 2241, 543, 3608, 11003, 512, 3518, 2401, 563, 2690, 1346, 602, 11003, 968, 320, 518, 984, 1227, 5608, 513, 512, 3518, 2401, 568, 513, 1390, 1259, 547, 968, 320, 4733, 892, 707, 11003, 1510, 2348, 547, 9308, 2490, 519, 11003, 3294, 563, 763, 512, 3518, 2401, 1568, 609, 1034, 11003, 29054, 610, 17885, 23691, 543, 666, 3362, 581, 7471, 883, 707, 1699, 11003, 1305, 909, 269, 1403, 596, 1810, 1406, 723, 513, 666, 610, 22902, 547, 11003, 538, 543, 616, 3168, 547, 1265, 835, 538, 10339, 13208, 267, 2638, 609, 513, 2199, 1286, 11547, 1870, 547, 1294, 952, 789, 723, 1022, 3063, 8900, 12853, 29054, 596, 1223, 11547, 856, 543, 946, 269, 6196, 17885, 23691, 960, 1390, 1932, 563, 24916, 9494, 519, 4541, 267, 596, 849, 1205, 3638, 267, 8770, 4904, 3037, 547, 1332, 1919, 585, 707, 4677, 281, 3094, 2914, 514, 2336, 2710, 596, 11003, 610, 18359, 286, 2913, 721, 917, 1018, 596, 2461, 3257, 538, 519, 8292, 2630, 2336, 13014, 513, 8773, 3659, 609, 1520, 2378, 8816, 779, 10911, 27912, 3951, 1107, 589, 11300, 29790, 1299, 20308, 14716, 14173, 269, 898, 779, 606, 1039, 6823, 547, 938, 2442, 18065, 7591, 3033, 18124, 267, 30264, 26059, 2207, 543, 824, 5867, 547, 1118, 543, 1982, 11608, 609, 18065, 23911, 267, 5269, 24927, 267, 543, 20798, 269, 3399, 9013, 16546, 267, 1425, 657, 267, 1151, 523, 6950, 269, 1411, 849, 1205, 5365, 20382, 267, 3692, 1438, 5905, 8596, 267, 513, 32286, 303, 31242, 9920, 543, 28659, 10584, 3977, 269, 898, 1264, 906, 1299, 11498, 707, 12545, 865, 596, 666, 1869, 946, 782, 519, 1434, 625, 593, 519, 29668, 518, 267, 1631, 596, 723, 513, 17562, 19209, 607, 1134, 269, 0, 10932, 2982, 602, 519, 14488, 649, 1995, 607, 1453, 666, 1860, 721, 883, 15296, 269, 12694, 1453, 3068, 538, 1153, 267, 1272, 1107, 543, 6038, 609, 741, 1072, 1107, 616, 1419, 519, 2589, 540, 31984, 338, 543, 6757, 2566, 563, 763, 1434, 3377, 568, 267, 519, 4505, 649, 666, 2697, 602, 513, 1126, 568, 7680, 31984, 338, 543, 6757, 2566, 267, 519, 19692, 1453, 543, 3885, 666, 581, 4448, 547, 519, 2533, 789, 991, 547, 2061, 610, 12115, 519, 2360, 563, 763, 2165, 968, 3849, 2091, 19974, 23800, 2223, 610, 968, 3722, 19324, 2223, 2501, 689, 519, 476, 1960, 279, 1520, 2091, 19974, 23800, 5530, 630, 19781, 5530, 1040, 634, 1353, 267, 513, 11450, 1063, 918, 9820, 518, 32719, 25366, 543, 519, 772, 2529, 269, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 1070, 568, 835, 540, 519, 4102, 13753, 2479, 5342, 547, 2708, 4296, 1063, 5312, 2566, 3361, 676, 2038, 14488, 543, 1279, 3856, 1072, 563, 763, 1353, 8947, 4598, 547, 6689, 14488, 267, 1519, 6057, 543, 10714, 267, 543, 7622, 14524, 899, 6469, 5208, 267, 15366, 2790, 4576, 267, 610, 15366, 6219, 6057, 269, 12824, 8655, 606, 968, 19781, 6060, 892, 547, 1142, 16045, 676, 4946, 909, 519, 1297, 540, 10779, 885, 519, 16045, 4080, 563, 17495, 2185, 610, 811, 31984, 338, 454, 32391, 585, 2295, 2068, 610, 5761, 2860, 609, 1164, 31984, 6060, 563, 11795, 2397, 538, 1272, 19104, 585, 1453, 2451, 15860, 585, 1164, 31984, 6060, 454, 2750, 17068, 547, 7920, 267, 7928, 267, 610, 13455, 2566, 1510, 519, 10889, 1359, 1416, 540, 513, 11215, 2937, 267, 666, 1689, 1453, 779, 12058, 543, 4703, 267, 1519, 27200, 1565, 267, 2623, 267, 12046, 267, 2208, 267, 17441, 1949, 267, 4761, 1949, 267, 543, 1256, 519, 1259, 5027, 568, 1224, 543, 1098, 8282, 563, 11514, 8306, 547, 519, 3384, 2634, 267, 1519, 2242, 547, 519, 28481, 25283, 267, 4776, 30613, 16794, 543, 993, 17789, 323, 8403, 267, 949, 1291, 547, 606, 2333, 538, 1981, 540, 5042, 15717, 267, 3007, 22907, 267, 1565, 9124, 267, 30759, 267, 1582, 30625, 267, 3965, 543, 3007, 267, 543, 4160, 563, 307, 16464, 2566, 666, 2333, 513, 1268, 781, 1981, 540, 3384, 1164, 1973, 2604, 267, 6173, 908, 2157, 540, 6553, 602, 666, 3441, 519, 16209, 269, 1452, 2175, 666, 1291, 547, 2295, 2068, 267, 8482, 543, 824, 3978, 1072, 2152, 2663, 538, 1272, 563, 295, 27941, 1981, 540, 3968, 543, 16991, 2068, 949, 2049, 1813, 547, 5312, 6553, 543, 824, 2188, 267, 799, 2014, 2242, 538, 519, 1560, 779, 2067, 4761, 8878, 6114, 563, 307, 16464, 2566, 666, 1764, 2208, 543, 1646, 269, 898, 666, 849, 1291, 547, 8377, 543, 2242, 538, 519, 12557, 540, 23648, 267, 607, 1134, 607, 824, 2152, 563, 763, 1520, 2091, 19974, 23800, 630, 19781, 264, 5530, 269, 21634, 8636, 328, 966, 297, 263, 272, 1070, 1656, 320, 16674, 267, 20918, 28086, 667, 267, 5261, 5459, 667, 293, 267, 1975, 6308, 7537, 267, 29885, 966, 267, 918, 1601, 12463, 267, 29485, 23404, 563, 7804, 269, 24385, 710, 8738, 651, 20831, 1520, 2091, 6689, 2833, 570, 3633, 2911, 454, 26469, 570, 965, 267, 476, 1001, 273, 454, 30210, 2657, 7797, 267, 4989, 476, 280, 267, 476, 1001, 274, 454, 290, 312, 310, 6519, 7433, 593, 24768, 13262, 267, 4873, 476, 1001, 274, 454, 26596, 12770, 18225, 267, 5181, 476, 1789, 267, 476, 1001, 274, 454, 290, 312, 310, 4578, 7797, 538, 11450, 609, 5398, 2657, 4659, 267, 5437, 476, 277, 267, 476, 1001, 275, 454, 763, 1715, 3840, 518, 267, 4728, 476, 2641, 267, 476, 1001, 272, 454, 14188, 596, 585, 707, 9639, 1247, 649, 1118, 2556, 9283, 547, 938, 1062, 269, 7490, 2132, 1287, 547, 1118, 707, 7662, 563, 7312, 1489, 543, 5639, 666, 948, 1689, 519, 18330, 540, 5481, 540, 1453, 543, 3885, 563, 290, 10938, 585, 15272, 25682, 568, 711, 513, 6433, 4099, 269, 8409, 7680, 14849, 2564, 610, 17867, 4145, 1058, 3866, 476, 26605, 610, 741, 2199, 6595, 8116, 585, 6351, 269, 1284, 616, 8572, 547, 4431, 547, 6835, 31392, 3277, 23552, 267, 2126, 610, 4791, 29492, 689, 2043, 945, 616, 711, 938, 2550, 269, 0, 763, 9860, 540, 6905, 1606, 1051, 5300, 12498, 2000, 716, 600, 848, 630, 2464, 13993, 9984, 335, 18166, 18521, 615, 747, 807, 19546, 630, 292, 269, 19546, 264, 568, 2810, 6385, 538, 1312, 6413, 5054, 543, 3662, 11396, 269, 589, 2603, 540, 3662, 23226, 814, 1044, 2047, 4294, 883, 27442, 1076, 4610, 538, 519, 3384, 2477, 269, 1809, 519, 1764, 540, 11536, 13993, 25698, 4551, 689, 3662, 23226, 593, 519, 6694, 4610, 568, 23661, 267, 2523, 538, 519, 6917, 4525, 540, 12872, 685, 534, 267, 3624, 269, 3371, 267, 649, 6394, 476, 3066, 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 ]
[ 13176, 10253, 616, 3769, 267, 971, 607, 21462, 267, 20008, 520, 4577, 543, 2101, 5546, 269, 1411, 666, 2070, 1863, 3732, 3817, 2630, 269, 901, 1433, 2882, 782, 2009, 12331, 543, 10253, 596, 1522, 711, 723, 2219, 540, 267, 9788, 856, 538, 5234, 267, 570, 5723, 543, 2407, 12258, 528, 267, 1940, 762, 31361, 4604, 12222, 269, 2871, 10560, 16497, 5842, 12770, 2349, 1132, 630, 14737, 528, 2349, 1132, 264, 17361, 2871, 10560, 18963, 268, 15873, 267, 6206, 540, 589, 19999, 520, 4577, 11683, 17361, 2871, 10560, 674, 4958, 4580, 18963, 268, 15873, 267, 6206, 2560, 898, 568, 1500, 909, 540, 5722, 3982, 4967, 267, 7132, 606, 21632, 602, 5918, 27289, 519, 1101, 606, 12354, 1511, 2362, 269, 634, 1019, 520, 4577, 10253, 616, 476, 278, 4063, 3270, 602, 538, 513, 2631, 616, 24909, 540, 519, 20008, 520, 4577, 3270, 269, 589, 2603, 540, 5716, 1616, 547, 917, 952, 789, 1058, 1451, 547, 1224, 2575, 543, 594, 1810, 1406, 723, 513, 2241, 2626, 547, 602, 1107, 13343, 328, 26673, 3700, 7948, 1406, 267, 8751, 962, 528, 651, 666, 1406, 630, 2288, 824, 6512, 2818, 666, 264, 543, 1082, 1360, 3312, 543, 16805, 22459, 779, 538, 1402, 267, 4224, 543, 4244, 4224, 666, 1406, 2901, 269, 594, 3112, 3314, 1018, 519, 4336, 568, 540, 519, 2427, 8386, 20933, 6985, 1738, 7933, 9332, 4577, 12222, 269, 1452, 1291, 3270, 1683, 513, 4786, 547, 1847, 1472, 519, 31361, 4580, 269, 595, 20975, 269, 5092, 547, 2057, 2048, 25871, 16120, 807, 685, 1141, 1291, 13176, 6238, 3280, 532, 2048, 338, 877, 344, 685, 543, 634, 1019, 520, 4577, 4336, 3568, 5722, 4967, 269, 4144, 520, 4577, 10222, 611, 7869, 476, 278, 269, 1403, 596, 5129, 606, 661, 278, 16147, 630, 292, 267, 717, 258, 267, 645, 267, 667, 264, 1247, 538, 519, 1883, 540, 595, 267, 621, 1131, 711, 581, 1019, 520, 4577, 1317, 717, 258, 568, 711, 538, 519, 1883, 269, 1548, 568, 519, 3017, 1063, 519, 1019, 520, 4577, 543, 20008, 520, 4577, 10253, 286, 11683, 17361, 674, 5424, 902, 630, 274, 9539, 1774, 264, 3690, 5296, 269, 13622, 269, 1452, 616, 519, 1614, 2081, 596, 1590, 917, 547, 1404, 519, 1019, 520, 4577, 2101, 4336, 18369, 269, 4936, 6613, 5644, 543, 15053, 4577, 5811, 269, 634, 11683, 4336, 568, 513, 5722, 5991, 1774, 5542, 540, 4967, 1369, 519, 6985, 1738, 4336, 630, 1492, 6985, 1738, 4336, 3568, 1169, 4063, 593, 519, 13176, 1040, 634, 4336, 3259, 540, 519, 666, 14765, 3254, 538, 519, 2376, 8666, 568, 31361, 1540, 547, 513, 476, 2190, 269, 276, 10759, 4336, 269, 2353, 11683, 543, 7849, 19724, 10569, 616, 5129, 1210, 9838, 4336, 3270, 269, 898, 568, 513, 2442, 31605, 602, 968, 323, 9332, 4577, 892, 1797, 5722, 4967, 269, 10253, 1210, 519, 595, 8980, 3633, 813, 571, 5255, 2442, 1242, 676, 9291, 29885, 267, 4171, 3126, 540, 2835, 616, 1134, 4502, 519, 1045, 523, 560, 618, 269, 476, 272, 269, 769, 519, 589, 5634, 1383, 538, 519, 3381, 267, 891, 1079, 4967, 1107, 519, 2048, 10233, 685, 4967, 1107, 616, 645, 543, 674, 269, 634, 4336, 540, 519, 6985, 5597, 31361, 1540, 524, 580, 541, 4216, 13176, 568, 476, 1839, 16357, 269, 634, 4144, 520, 4577, 10222, 6758, 540, 5272, 6206, 476, 277, 269, 634, 4144, 520, 4577, 1530, 22770, 932, 3581, 540, 5272, 6206, 476, 279, 269, 4144, 520, 4577, 2480, 2297, 269, 898, 814, 513, 4514, 7574, 2495, 982, 602, 267, 855, 602, 781, 782, 649, 991, 547, 1589, 827, 585, 1631, 269, 634, 1702, 540, 10253, 786, 12260, 519, 16532, 7132, 1082, 1447, 1455, 543, 16678, 10253, 630, 323, 574, 31944, 267, 12012, 267, 5595, 23191, 267, 3092, 12175, 15439, 4945, 593, 2901, 540, 519, 6402, 547, 4647, 707, 1433, 269, 634, 6516, 547, 519, 1318, 14550, 519, 2947, 1019, 520, 4577, 4336, 2480, 2651, 1524, 547, 4647, 513, 7792, 7824, 4528, 540, 519, 5750, 267, 609, 1100, 2845, 2987, 610, 1129, 5346, 2838, 269, 2871, 10560, 11370, 3539, 31876, 1280, 30488, 269, 17859, 540, 519, 2511, 540, 2575, 596, 1404, 593, 13176, 267, 1565, 10253, 538, 1019, 520, 4577, 11996, 568, 606, 1271, 851, 540, 707, 7574, 1646, 282, 1454, 899, 1620, 543, 7311, 606, 9904, 568, 609, 2854, 610, 9275, 1893, 269, 634, 15864, 1259, 547, 1589, 2507, 15566, 2542, 9890, 1411, 3580, 849, 4309, 513, 21533, 4757, 269, 6744, 856, 519, 8835, 740, 2630, 585, 3877, 269, 634, 20008, 520, 4577, 4336, 5205, 519, 3119, 630, 2023, 545, 264, 16147, 538, 513, 11144, 269, 2871, 10560, 932, 867, 15873, 2871, 10560, 14576, 338, 2871, 10560, 932, 3581, 10670, 1676, 2871, 10560, 1280, 30488, 4144, 520, 4577, 17361, 19724, 17361, 19999, 520, 4577, 17361, 2349, 1132, 17361, 595, 8980, 3633, 3590, 585, 2871, 10560, 634, 595, 8980, 3633, 1062, 568, 513, 1259, 540, 12180, 519, 13176, 31361, 4580, 538, 513, 6209, 1259, 547, 1450, 596, 2560, 634, 1883, 540, 2806, 786, 581, 782, 3046, 22334, 593, 519, 13176, 269, 634, 2871, 10560, 2480, 2297, 15873, 3883, 568, 849, 2139, 538, 1820, 689, 8835, 5001, 267, 543, 689, 29481, 2066, 519, 2475, 269, 1411, 666, 2901, 2070, 519, 476, 278, 5232, 540, 519, 2101, 4336, 899, 713, 281, 2107, 899, 713, 281, 590, 13446, 585, 519, 4057, 4605, 2298, 2507, 296, 666, 711, 585, 519, 1272, 540, 803, 1205, 1346, 2338, 547, 1397, 909, 5693, 256, 1703, 616, 476, 278, 4967, 538, 1142, 1883, 269, 2659, 1620, 540, 10103, 3069, 786, 2141, 581, 5532, 547, 891, 476, 278, 2596, 22334, 269, 13159, 4144, 520, 4577, 2480, 2297, 585, 2871, 10560, 3568, 1169, 2009, 476, 278, 5991, 1774, 4336, 585, 13176, 269, 589, 1019, 520, 4577, 4336, 568, 711, 513, 1808, 4336, 267, 855, 2864, 513, 1259, 513, 4336, 630, 528, 513, 16147, 585, 602, 2339, 264, 568, 9112, 269, 634, 2871, 10560, 2480, 2297, 15873, 3883, 568, 5078, 585, 782, 13176, 1235, 269, 5487, 267, 27764, 1354, 594, 1412, 332, 2386, 519, 3017, 1063, 519, 1019, 520, 4577, 4336, 3029, 609, 519, 20008, 520, 4577, 10253, 3288, 4336, 1862, 2142, 9102, 543, 1031, 607, 3774, 12125, 1107, 1390, 585, 8357, 1944, 16147, 3356, 687, 543, 10253, 267, 8754, 1946, 621, 538, 269, 932, 3581, 689, 519, 2101, 4336, 4336, 3568, 1169, 4063, 593, 519, 3239, 1657, 547, 1205, 476, 1839, 4939, 1055, 707, 21806, 269, 8437, 1934, 610, 593, 519, 31361, 4580, 267, 10827, 919, 543, 4359, 5716, 7567, 602, 968, 1019, 520, 4577, 9232, 5722, 256, 24442, 3069, 786, 2141, 581, 5532, 547, 873, 585, 6476, 267, 10569, 4336, 1862, 17778, 602, 2049, 538, 2101, 10253, 538, 2789, 7158, 909, 543, 1404, 689, 269, 932, 3581, 814, 513, 4514, 7574, 2495, 982, 602, 267, 855, 602, 1412, 338, 782, 991, 1862, 932, 3581, 543, 10253, 267, 8754, 1946, 621, 568, 513, 16147, 952, 711, 4967, 1862, 18564, 602, 519, 1931, 540, 519, 1019, 520, 4577, 2101, 4336, 543, 519, 23191, 5634, 4336, 2990, 4758, 1862, 26451, 281, 21462, 267, 27227, 267, 4224, 267, 4496, 267, 8106, 6902, 7132, 1447, 269, 932, 11301, 1107, 1390, 585, 8357, 1944, 16147, 3356, 687, 543, 10253, 267, 2898, 1900, 543, 1900, 269, 5262, 2159, 855, 596, 11313, 556, 4946, 519, 1079, 1034, 1455, 5686, 540, 16147, 2101, 269, 7435, 568, 4730, 519, 22334, 547, 519, 595, 2101, 267, 596, 11313, 26270, 581, 9859, 547, 938, 2228, 4558, 717, 636, 5802, 256, 30142, 1431, 909, 543, 1404, 513, 717, 2101, 1082, 16678, 10253, 786, 5631, 2911, 827, 2101, 256, 27227, 30464, 1235, 281, 5808, 616, 519, 1614, 2081, 596, 1590, 917, 547, 1404, 5722, 1114, 9416, 902, 585, 519, 5634, 4336, 256, 2659, 1620, 540, 10103, 3069, 786, 2141, 581, 5532, 547, 891, 476, 278, 2596, 22334, 519, 4967, 540, 513, 2101, 538, 1862, 2290, 543, 1079, 540, 519, 1699, 1883, 581, 9859, 547, 938, 2228, 4558, 693, 717, 636, 5802, 693, 907, 1656, 1291, 3270, 4358, 538, 1114, 7158, 593, 519, 4336, 3029, 543, 1291, 3270, 538, 1862, 594, 666, 11313, 512, 2339, 799, 1688, 568, 4730, 519, 22334, 585, 661, 2807, 281, 13176, 8249, 585, 14987, 267, 10827, 919, 543, 4359, 5716, 7567, 9232, 267, 15751, 10557, 540, 540, 256, 3752, 657, 543, 2087, 707, 1291, 13176, 4730, 2059, 609, 519, 6512, 543, 519, 256, 6206, 15040, 713, 786, 849, 581, 519, 22334, 585, 661, 5634, 476, 276, 543, 476, 278, 5750, 585, 519, 5750, 256, 6271, 4063, 824, 982, 519, 3597, 540, 519, 3270, 585, 1019, 520, 4577, 10253, 616, 4843, 607, 31361, 4580, 12222, 607, 269, 5192, 476, 1839, 4939, 1055, 707, 4245, 21806, 540, 13176, 16710, 568, 1175, 950, 1847, 1862, 1299, 16678, 10253, 547, 2263, 570, 12941, 281, 9208, 910, 661, 5025, 5937, 8566, 5174, 7232, 19743, 22334, 818, 701, 1375, 3930, 2871, 527, 1513, 267, 2549, 1186, 1299, 12186, 22334, 256, 2060, 1100, 2845, 2987, 610, 1129, 5346, 2838, 23191, 553, 949, 581, 5129, 538, 22334, 538, 519, 1883, 540, 2101, 269, 9701, 333, 11313, 512, 1205, 883, 609, 621, 3283, 1657, 8964, 31721, 909, 1927, 827, 519, 9102, 4528, 4528, 1934, 538, 1862, 7490, 3277, 547, 519, 1318, 1397, 1079, 2596, 1291, 3270, 1683, 513, 4786, 547, 1472, 256, 3657, 3769, 267, 971, 607, 21462, 267, 20008, 520, 4577, 543, 2101, 3738, 607, 3270, 593, 2947, 1862, 27227, 30464, 1235, 281, 5808, 616, 519, 4279, 652, 27227, 30464, 1235, 540, 782, 2101, 10253, 538, 1931, 6957, 2195, 269, 1215, 666, 594, 1404, 513, 20008, 520, 4577, 4336, 31361, 4580, 2990, 267, 4758, 596, 513, 5078, 4336, 4806, 16382, 596, 4730, 1862, 2871, 10560, 5716, 1451, 568, 519, 5634, 20008, 520, 4577, 4336, 936, 513, 5152, 602, 3096, 22334, 689, 2101, 1862, 25792, 476, 278, 5991, 1774, 4336, 585, 13176, 3568, 1169, 4063, 593, 519, 8405, 585, 596, 543, 1118, 2386, 602, 596, 26270, 269, 9747, 1946, 621, 568, 513, 5750, 540, 519, 4122, 268, 4310, 10253, 267, 2898, 1900, 543, 3368, 1900, 4063, 519, 256, 32368, 543, 4336, 8255, 543, 2093, 585, 4773, 909, 1927, 865, 950, 594, 2259, 594, 2356, 2322, 593, 513, 3905, 256, 11872, 538, 602, 2016, 1883, 616, 476, 1321, 8747, 602, 1689, 538, 12334, 855, 1862, 17361, 936, 513, 5152, 602, 3096, 22334, 689, 519, 2101, 4336, 7158, 593, 519, 4336, 519, 269, 9232, 1797, 5722, 4967, 1142, 519, 1699, 1883, 594, 1412, 557, 1031, 2338, 3079, 540, 4063, 4408, 593, 8405, 1862, 6258, 568, 519, 8227, 540, 1323, 341, 559, 13176, 19019, 267, 8547, 538, 5130, 540, 538, 269, 1656, 689, 29481, 2066, 519, 2475, 2012, 519, 4336, 676, 519, 3597, 519, 10253, 607, 5129, 513, 1862, 2142, 1031, 15859, 1947, 267, 621, 12582, 11313, 512, 2339, 799, 1688, 568, 519, 1862, 30894, 547, 519, 1318, 1397, 1079, 2596, 1291, 3270, 4358, 538, 1114, 7158, 593, 519, 13176, 5750, 256, 6206, 6651, 5750, 547, 1451, 811, 982, 835, 4806, 547, 1404, 5722, 1114, 9416, 902, 519, 1862, 2051, 8435, 835, 543, 1079, 540, 519, 513, 32363, 565, 1014, 7154, 585, 1019, 520, 4577, 4336, 13176, 5750, 1376, 1565, 543, 4730, 1007, 543, 1862, 476, 275, 5569, 18369, 609, 9208, 570, 12941, 2087, 3054, 1565, 1776, 4063, 824, 982, 519, 3597, 4063, 606, 8216, 4647, 865, 269, 6168, 476, 2641, 16357, 5750, 1019, 520, 4577, 22334, 5750, 667, 2101, 1019, 520, 4577, 22334, 5750, 667, 1019, 520, 4577, 269, 1684, 865, 950, 594, 729, 1762, 824, 855, 972, 616, 1082, 16678, 10253, 20008, 520, 4577, 256, 11408, 581, 5532, 547, 891, 476, 278, 18565, 2141, 3280, 519, 1482, 538, 2078, 547, 1142, 824, 855, 972, 476, 1321, 269, 1656, 1142, 4336, 568, 13890, 2630, 538, 1079, 12354, 2314, 899, 782, 540, 519, 4336, 519, 256, 6258, 519, 1019, 520, 4577, 543, 20008, 520, 4577, 10253, 982, 1866, 267, 556, 267, 11465, 267, 3655, 267, 1151, 267, 3288, 27764, 269, 4256, 6293, 519, 6985, 1738, 4336, 630, 519, 6985, 1738, 4336, 3568, 1169, 4063, 593, 519, 8405, 952, 711, 4967, 256, 16816, 1229, 267, 5595, 23191, 267, 3092, 269, 3738, 865, 547, 2057, 10539, 786, 269, 1809, 6999, 594, 1185, 16539, 538, 1565, 547, 798, 865, 950, 594, 2259, 594, 2322, 269, 634, 4063, 717, 1948, 476, 276, 1954, 1206, 910, 891, 3270, 2154, 513, 9416, 10137, 28011, 769, 2013, 596, 991, 547, 1589, 827, 585, 1631, 26270, 581, 9859, 547, 938, 2228, 693, 1862, 3245, 519, 2101, 4336, 1412, 338, 5722, 4967, 1142, 4496, 267, 8106, 6902, 7132, 1082, 1455 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 262, 568, 849, 4122, 1031, 538, 10656, 547, 20301, 971, 2021, 269, 13565, 24484, 902, 540, 8834, 6754, 11676, 839, 2433, 269, 1923, 1234, 340, 15607, 7395, 30445, 6511, 3768, 1775, 327, 516, 5576, 342, 6856, 26795, 1923, 634, 853, 3863, 24051, 1923, 7083, 6754, 3171, 770, 16635, 1923, 4279, 7831, 25960, 618, 676, 1923, 8496, 30358, 593, 7579, 531, 654, 805, 327, 11406, 16665, 20551, 281, 20606, 324, 25376, 22609, 454, 12626, 10266, 614, 267, 1309, 269, 11260, 271, 268, 9264, 275, 267, 2296, 18048, 543, 1951, 7676, 1206, 2006, 269, 1261, 2968, 513, 20194, 540, 18148, 4639, 538, 476, 12293, 279, 543, 9411, 519, 9576, 9142, 12140, 267, 5507, 267, 519, 1739, 1032, 269, 769, 476, 10082, 271, 543, 476, 10082, 273, 646, 17820, 23609, 693, 519, 9576, 9142, 543, 4951, 1010, 1101, 1641, 4605, 538, 476, 10082, 274, 269, 1261, 2451, 585, 513, 1974, 540, 1353, 538, 7977, 543, 729, 538, 7507, 609, 9478, 19159, 540, 14216, 2421, 689, 476, 10082, 274, 547, 476, 10082, 275, 269, 1879, 646, 1985, 17820, 693, 519, 9576, 9142, 630, 10082, 278, 264, 646, 729, 2713, 538, 11062, 267, 855, 689, 476, 10082, 279, 547, 476, 5197, 275, 1010, 9645, 5993, 9295, 547, 519, 9142, 24218, 729, 2366, 689, 1585, 5507, 9607, 269, 3571, 1360, 2442, 1507, 23609, 941, 1419, 3254, 538, 2516, 540, 3670, 610, 8370, 269, 3571, 17573, 1641, 5961, 941, 1759, 593, 4798, 689, 13299, 267, 18190, 1686, 267, 6965, 543, 519, 16222, 269, 1358, 3769, 513, 6429, 689, 1306, 1411, 6145, 898, 630, 2863, 571, 1027, 264, 13556, 585, 3627, 15196, 323, 749, 781, 9956, 20155, 269, 13560, 2006, 2968, 589, 6938, 538, 476, 9692, 276, 543, 24964, 4922, 538, 2663, 1272, 267, 2261, 11538, 538, 1401, 2678, 538, 476, 5197, 277, 543, 11488, 1568, 547, 519, 9576, 9142, 630, 5197, 276, 268, 1321, 543, 476, 8687, 277, 268, 866, 264, 689, 782, 936, 519, 2197, 269, 30408, 21293, 28540, 3147, 7236, 454, 6357, 1941, 476, 14028, 276, 264, 729, 606, 7969, 18048, 540, 519, 3735, 7304, 10718, 1974, 563, 3891, 729, 519, 3791, 5067, 540, 8210, 1723, 548, 267, 519, 7015, 540, 6682, 21034, 543, 16902, 592, 1470, 595, 525, 732, 519, 9632, 267, 543, 4651, 540, 8210, 1723, 548, 28540, 3147, 7236, 519, 8479, 518, 630, 8182, 276, 286, 290, 15757, 276, 1040, 1261, 729, 4535, 693, 645, 860, 3534, 543, 7620, 8036, 676, 1010, 4651, 267, 1498, 646, 4597, 539, 538, 7206, 8916, 543, 1869, 2000, 604, 525, 609, 5810, 543, 4829, 267, 5631, 538, 30912, 269, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2789, 3903, 2055, 267, 476, 276, 2110, 2626, 2055, 267, 543, 476, 1015, 2110, 1557, 2055, 563, 21296, 14893, 5999, 454, 272, 269, 1548, 1705, 29962, 667, 3089, 10290, 2736, 950, 7904, 4370, 519, 3786, 888, 5416, 264, 3571, 6186, 563, 6357, 264, 3571, 21721, 563, 6262, 264, 3571, 1850, 563, 5560, 264, 5565, 11263, 563, 273, 269, 7316, 729, 3627, 32298, 689, 888, 5416, 264, 1715, 14948, 563, 6262, 264, 29049, 6816, 563, 274, 269, 7316, 1705, 9291, 715, 749, 626, 1332, 909, 888, 275, 269, 5808, 729, 7166, 676, 7874, 3595, 693, 16410, 534, 520, 10224, 888, 5416, 264, 8176, 9466, 563, 6357, 264, 20858, 31687, 324, 5414, 563, 6262, 264, 18039, 20484, 563, 5560, 264, 14731, 5576, 650, 328, 563, 276, 269, 1215, 1082, 21448, 1223, 606, 13128, 5230, 29461, 9496, 829, 8792, 888, 5416, 264, 476, 16020, 21448, 563, 6357, 264, 476, 12573, 21448, 563, 6262, 264, 476, 20862, 21448, 563, 5560, 264, 476, 14596, 21448, 563, 14112, 8382, 5999, 454, 272, 269, 2991, 6158, 609, 519, 1325, 30790, 2480, 8083, 543, 623, 1690, 7974, 267, 875, 1279, 1705, 16334, 764, 328, 6430, 547, 7227, 1354, 12394, 519, 15063, 888, 273, 269, 1548, 1705, 519, 14586, 15972, 547, 3548, 585, 3063, 3940, 888, 274, 269, 1879, 729, 519, 1977, 1773, 2033, 602, 24363, 936, 16410, 534, 520, 10224, 5189, 888, 275, 269, 3245, 1141, 1705, 1325, 30790, 2480, 8083, 15063, 10656, 14586, 540, 2112, 888, 276, 269, 1215, 1279, 1310, 519, 986, 573, 1185, 13175, 1705, 18279, 13584, 4734, 16410, 534, 520, 10224, 888, 14112, 4828, 5999, 454, 272, 269, 5808, 941, 17355, 18050, 689, 1773, 831, 334, 543, 824, 5628, 657, 888, 273, 269, 1548, 3646, 1705, 519, 1977, 14586, 945, 1185, 4702, 1983, 1118, 547, 2087, 16410, 534, 520, 10224, 7890, 888, 274, 269, 1548, 729, 2027, 827, 519, 623, 268, 8618, 7077, 888, 275, 269, 1215, 729, 623, 1690, 7974, 4058, 585, 519, 15063, 5692, 888, 276, 269, 14674, 519, 18290, 3957, 524, 690, 517, 563, 277, 269, 1215, 1705, 519, 27142, 26250, 519, 681, 13377, 950, 621, 3357, 547, 1773, 831, 334, 888, 278, 269, 1548, 1131, 13584, 936, 5408, 607, 14213, 19524, 888, 279, 269, 1879, 519, 681, 13377, 3459, 3478, 3207, 344, 593, 519, 15292, 267, 1018, 941, 789, 2016, 547, 1832, 873, 25805, 888, 280, 269, 1215, 729, 519, 1773, 831, 334, 1153, 5264, 9927, 883, 513, 2306, 31183, 6413, 888, 1015, 269, 1215, 1705, 715, 749, 626, 4894, 513, 4496, 23650, 689, 681, 10494, 822, 4068, 888, 1607, 3296, 3568, 476, 8064, 274, 1913, 454, 26140, 269, 476, 274, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 299, 23966, 12971, 269, 476, 280, 454, 18183, 26555, 2049, 10876, 538, 938, 4948, 2729, 1765, 543, 616, 2523, 28125, 538, 519, 9036, 269, 1358, 616, 5156, 547, 1942, 4213, 2724, 543, 2014, 1629, 582, 10474, 269, 2334, 779, 2601, 2614, 585, 1082, 3549, 547, 26193, 4655, 607, 3533, 607, 2009, 269, 18366, 9946, 1522, 581, 31570, 543, 632, 268, 525, 5632, 566, 2994, 8246, 269, 1809, 267, 1281, 4655, 2965, 2800, 8404, 286, 3502, 8209, 269, 769, 1249, 267, 4655, 666, 2965, 5397, 5520, 547, 1685, 1732, 269, 1809, 621, 814, 547, 581, 519, 968, 2431, 892, 1826, 540, 4655, 281, 5369, 5505, 10646, 1063, 968, 30447, 1222, 4655, 892, 543, 968, 339, 2532, 4655, 1848, 769, 2078, 7526, 267, 519, 8404, 7455, 12772, 1360, 6385, 538, 1004, 945, 798, 711, 1205, 2059, 609, 1142, 824, 1813, 547, 7209, 804, 10449, 269, 2201, 519, 824, 1688, 267, 4305, 7526, 267, 971, 607, 22195, 827, 875, 543, 1946, 513, 1544, 1058, 581, 2936, 267, 666, 1291, 547, 606, 2333, 538, 8404, 1851, 5520, 269, 5525, 1397, 602, 4655, 543, 5717, 5000, 2818, 540, 513, 2319, 547, 20982, 811, 8499, 269, 1358, 666, 5963, 9260, 519, 8925, 2864, 982, 7903, 585, 513, 554, 7360, 6876, 269, 0, 20809, 476, 1789, 267, 476, 1220, 271, 454, 32451, 8262, 585, 15154, 454, 3528, 590, 4596, 22721, 966, 292, 3201, 292, 454, 1877, 616, 827, 476, 1911, 5479, 15270, 538, 519, 7122, 267, 1142, 609, 827, 476, 1911, 5479, 6801, 269, 898, 1131, 1491, 476, 1015, 267, 1822, 1296, 547, 512, 958, 873, 952, 1169, 1480, 1373, 593, 454, 24160, 18886, 873, 693, 519, 2557, 540, 2947, 829, 2034, 269, 16319, 22125, 856, 972, 267, 1318, 286, 8616, 952, 519, 3859, 1062, 941, 519, 2450, 540, 513, 6995, 7484, 267, 519, 27305, 10158, 1131, 581, 607, 2462, 607, 3345, 3013, 269, 1656, 952, 596, 1223, 12900, 519, 27305, 454, 310, 599, 883, 602, 7484, 267, 519, 14282, 521, 14184, 14925, 267, 1656, 668, 20364, 267, 1131, 20847, 538, 2230, 827, 5722, 3952, 2476, 269, 3371, 781, 519, 1309, 3899, 281, 972, 568, 1447, 982, 835, 11046, 829, 12945, 13452, 13735, 538, 954, 6549, 12519, 2230, 267, 1247, 593, 3618, 835, 12945, 454, 12881, 540, 2011, 6585, 827, 476, 2004, 18265, 18265, 8444, 269, 1452, 616, 1851, 519, 2247, 1532, 27172, 11240, 725, 538, 15234, 3080, 17807, 281, 2311, 5851, 538, 519, 15328, 21573, 267, 5257, 606, 16367, 29194, 593, 782, 1919, 1390, 543, 1507, 269, 700, 5366, 569, 6896, 454, 19925, 519, 1614, 2596, 3741, 6117, 519, 7122, 4534, 5163, 267, 2339, 543, 1648, 4534, 519, 1433, 2934, 26546, 267, 10355, 19121, 1944, 1603, 547, 4766, 519, 1699, 1533, 540, 1702, 540, 3388, 689, 519, 17646, 5006, 1016, 30061, 454, 4820, 2873, 630, 5976, 16678, 4408, 899, 535, 1069, 687, 267, 536, 657, 976, 543, 682, 696, 13228, 10225, 264, 547, 2706, 11415, 3069, 543, 824, 15234, 6588, 526, 19618, 6436, 5257, 602, 3343, 547, 5283, 323, 17184, 4229, 609, 519, 3741, 540, 7061, 11707, 269, 634, 454, 2246, 4243, 630, 10468, 559, 632, 6182, 21692, 570, 903, 517, 267, 519, 8689, 540, 519, 15917, 6577, 14136, 10740, 267, 8176, 20568, 267, 606, 28936, 903, 545, 626, 693, 519, 1977, 7467, 540, 7849, 3778, 267, 543, 7917, 7054, 542, 267, 513, 2257, 19784, 264, 2308, 4948, 12746, 625, 547, 2491, 519, 454, 27917, 2596, 4229, 540, 2470, 4534, 8904, 267, 30402, 24599, 1143, 543, 519, 15234, 17641, 5257, 543, 15234, 933, 752, 5257, 4229, 693, 1404, 538, 606, 11046, 781, 13540, 4534, 543, 519, 1082, 4241, 2081, 891, 2679, 7161, 454, 2006, 28685, 2933, 543, 2170, 269, 1703, 616, 1082, 5363, 12383, 543, 2681, 11147, 267, 16113, 513, 678, 633, 1154, 1079, 22240, 8666, 6029, 513, 1279, 5569, 540, 8781, 15998, 540, 1290, 564, 1744, 334, 655, 6033, 6441, 5271, 344, 476, 280, 1373, 15504, 547, 519, 887, 4979, 454, 338, 16577, 540, 18347, 269, 1548, 781, 1034, 24253, 827, 713, 4155, 7552, 998, 519, 30723, 568, 519, 21548, 540, 922, 4589, 538, 519, 3068, 540, 865, 1454, 602, 568, 26968, 762, 610, 27452, 6956, 267, 1256, 607, 789, 3461, 569, 855, 1714, 13228, 1836, 1683, 454, 821, 3613, 641, 10918, 585, 1053, 540, 519, 26355, 563, 4263, 5851, 538, 519, 15328, 21573, 563, 3528, 29484, 632, 6182, 21692, 570, 903, 517, 267, 8176, 20568, 543, 7917, 7054, 542, 563, 297, 24944, 8361, 270, 13233, 9142, 4964, 267, 1269, 2412, 563, 27987, 547, 519, 7734, 5851, 8525 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2628, 2651, 994, 268, 1280, 7147, 1153, 13102, 267, 950, 3959, 2418, 2333, 267, 1533, 7616, 11081, 563, 268, 634, 717, 290, 3041, 291, 968, 21659, 514, 32431, 892, 8569, 568, 15810, 547, 581, 1269, 4510, 2929, 585, 519, 476, 1001, 278, 268, 1001, 279, 1153, 1032, 269, 634, 1713, 2333, 568, 1813, 547, 4679, 538, 3959, 2418, 585, 476, 1001, 277, 269, 0, 306, 18561, 729, 2462, 1870, 267, 543, 2676, 27917, 4627, 1296, 3516, 267, 607, 1631, 2676, 22152, 753, 941, 896, 3146, 335, 18677, 538, 1283, 2359, 563, 310, 16017, 281, 789, 941, 519, 1587, 3294, 563, 2005, 782, 1185, 547, 798, 609, 824, 1439, 6361, 7308, 11060, 2472, 563, 306, 13610, 267, 7573, 267, 10269, 267, 2968, 7031, 609, 454, 16447, 6990, 538, 519, 476, 8182, 271, 781, 267, 10412, 543, 454, 1723, 6332, 2663, 269, 4256, 1272, 4783, 3459, 609, 454, 26171, 10464, 8778, 338, 540, 2244, 282, 2724, 585, 6079, 3248, 331, 1987, 585, 8840, 2666, 543, 1739, 998, 593, 519, 454, 13367, 531, 5933, 540, 2504, 1991, 547, 454, 22479, 1388, 3357, 689, 2637, 10394, 267, 24545, 267, 543, 5507, 2676, 3602, 4871, 619, 1185, 4121, 782, 827, 2553, 540, 454, 2169, 2056, 5491, 267, 12014, 540, 5385, 267, 3908, 454, 4820, 2996, 4721, 267, 4745, 3613, 1442, 16904, 2676, 3405, 710, 6142, 267, 543, 5595, 268, 18782, 1433, 15209, 563, 263, 8859, 1235, 945, 3747, 1863, 13055, 538, 454, 718, 15211, 540, 1272, 1590, 25401, 1294, 538, 519, 454, 16435, 1511, 4123, 513, 18374, 3501, 2203, 540, 454, 16451, 13055, 267, 2921, 1480, 7919, 607, 519, 454, 5570, 617, 640, 3079, 540, 8988, 267, 8970, 267, 610, 20230, 11350, 625, 563, 25898, 789, 15936, 538, 713, 4123, 267, 543, 267, 952, 865, 2676, 6011, 1131, 789, 1843, 547, 13779, 538, 454, 1415, 4123, 602, 7239, 7106, 28508, 540, 888, 763, 4074, 540, 1453, 267, 585, 1383, 269, 12467, 763, 2296, 21152, 941, 711, 1434, 693, 5515, 2676, 8117, 1223, 1451, 689, 513, 2540, 540, 5053, 267, 14082, 2676, 23210, 267, 543, 10656, 1995, 563, 4504, 2400, 4074, 267, 2324, 538, 14228, 338, 267, 896, 13327, 619, 267, 729, 454, 7528, 1600, 585, 519, 1715, 2622, 29436, 8114, 1598, 625, 563, 763, 9533, 10553, 4123, 729, 476, 1220, 1296, 2025, 454, 29592, 621, 1223, 1265, 513, 6075, 538, 9098, 563, 15703, 10125, 3964, 27502, 1705, 711, 899, 519, 2856, 563, 305, 327, 1712, 6816, 5293, 513, 1876, 538, 476, 13679, 273, 602, 454, 15905, 547, 4557, 1296, 519, 2165, 540, 1022, 7142, 4074, 563, 263, 293, 604, 1399, 1296, 2663, 621, 3459, 513, 4876, 540, 10553, 2389, 15665, 267, 543, 454, 323, 573, 711, 1863, 922, 10437, 2394, 476, 9965, 275, 3248, 1492, 10553, 4123, 15673, 539, 1082, 8830, 30808, 454, 763, 24873, 4346, 267, 896, 16851, 610, 1514, 1242, 13055, 2676, 322, 913, 1540, 513, 1804, 3761, 540, 24598, 4660, 4600, 563, 763, 9998, 1977, 17908, 619, 540, 971, 2804, 7399, 2676, 1492, 1544, 1562, 267, 4547, 538, 519, 896, 5035, 540, 6628, 563, 8253, 2614, 540, 891, 1223, 581, 7142, 610, 13251, 547, 2097, 2676, 663, 789, 941, 13542, 727, 269, 634, 21152, 1951, 2998, 19861, 519, 12075, 563, 763, 12075, 24268, 2476, 281, 789, 5706, 539, 267, 789, 9575, 454, 325, 7614, 3676, 267, 789, 1427, 8972, 883, 519, 19069, 563, 763, 12289, 540, 3013, 1522, 723, 2097, 547, 513, 26699, 454, 604, 1100, 2707, 540, 10553, 14228, 338, 941, 1336, 269, 654, 4710, 519, 17135, 540, 454, 27746, 1633, 547, 7083, 22768, 538, 476, 14917, 275, 2676, 20442, 324, 616, 6923, 13141, 514, 9364, 547, 454, 331, 913, 683, 580, 4592, 952, 938, 1625, 4513, 1131, 22036, 621, 907, 4799, 763, 2961, 1562, 543, 1635, 337, 1091, 543, 14250, 11143, 267, 945, 3893, 538, 2038, 454, 663, 2462, 538, 9098, 267, 941, 14850, 2465, 4221, 18318, 538, 519, 4639, 28851, 454, 1729, 6928, 873, 811, 5386, 2635, 10437, 563, 27269, 267, 621, 729, 519, 9241, 9715, 10553, 267, 609, 606, 454, 7394, 2245, 31827, 689, 1279, 5481, 540, 519, 454, 339, 8565, 607, 4810, 538, 4000, 267, 543, 5432, 609, 519, 454, 3467, 834, 611, 341, 2331, 257, 10553, 4529, 540, 519, 11866, 2676, 15367, 6026, 519, 13546, 696, 4487, 930, 3344, 540, 519, 454, 257, 27393, 257, 1894, 1063, 873, 563, 763, 2296, 543, 741, 21152, 3576, 930, 942, 547, 7017, 2390, 513, 454, 5320, 543, 10259, 585, 3109, 610, 6960, 7606, 540, 454, 28893, 5169, 945, 1185, 7592, 4330, 676, 2168, 454, 20395, 1108, 607, 10598, 5514, 269, 634, 942, 3144, 1934, 547, 454, 1410, 21622, 1644, 1913, 859, 3183, 971, 24675, 727, 454, 2181, 9080, 1182, 786, 581, 267, 594, 7281, 267, 8483, 1508, 563, 763, 14082, 543, 5053, 267, 12013, 1513, 585, 519, 2296, 538, 891, 454, 3901, 1562, 267, 1031, 519, 2262, 834, 27078, 549, 257, 2495, 4563, 267, 1247, 519, 454, 23210, 1031, 834, 7224, 597, 2437, 849, 2495, 4563, 543, 1287, 454, 257, 333, 11726, 26572, 257, 602, 4667, 547, 581, 6508, 689, 834, 27078, 549, 257, 543, 454, 659, 638, 1600, 513, 2942, 25664, 566, 269, 2296, 5443, 1031, 454, 1492, 2262, 834, 27078, 549, 257, 543, 606, 2038, 11239, 540, 519, 11874, 454, 935, 2254, 539, 834, 333, 580, 3455, 257, 568, 547, 581, 1336, 538, 513, 960, 540, 8176, 30340, 454, 1993, 519, 3735, 476, 10082, 271, 781, 563, 288, 1876, 540, 476, 13679, 275, 540, 519, 12733, 540, 29049, 6816, 2676, 531, 2819, 5219, 547, 267, 1031, 519, 2165, 834, 928, 3455, 257, 538, 454, 1721, 321, 27570, 32246, 1425, 3363, 585, 811, 982, 4557, 1296, 2676, 31347, 540, 6519, 267, 4563, 267, 4095, 610, 954, 321, 1042, 563, 1607, 4667, 547, 22132, 689, 519, 3943, 2262, 454, 257, 333, 11726, 26572, 257, 543, 547, 581, 519, 2707, 540, 519, 2165, 834, 333, 580, 3455, 2437, 454, 6518, 4061, 949, 723, 2097, 689, 1715, 20252, 543, 5924, 454, 16435, 1511, 2389, 15665, 10580, 883, 1455, 8828, 6165, 563, 2414, 519, 4911, 331, 25869, 267, 519, 1079, 1913, 1131, 3280, 7567, 563, 763, 2165, 3357, 547, 581, 24080, 1031, 538, 3013, 2676, 21955, 1851, 513, 1507, 1895, 540, 6213, 30921, 267, 855, 454, 529, 1631, 3622, 14284, 585, 1373, 791, 565, 924, 543, 967, 324, 1417, 3248, 527, 568, 849, 2693, 547, 2014, 24515, 269, 769, 519, 3735, 454, 5002, 271, 781, 519, 2165, 834, 28893, 12677, 257, 3357, 4464, 2676, 322, 2293, 532, 6619, 540, 834, 14937, 2437, 2484, 6619, 540, 834, 27078, 549, 2437, 454, 6518, 930, 2349, 2931, 267, 2523, 519, 7820, 2676, 13094, 1058, 581, 14460, 563, 763, 2165, 834, 332, 592, 16201, 257, 547, 20301, 513, 3368, 5025, 325, 878, 534, 610, 454, 4820, 569, 3979, 3459, 609, 519, 5053, 2676, 26074, 3274, 834, 1492, 544, 2544, 2668, 634, 2165, 834, 332, 592, 520, 257, 729, 454, 4310, 538, 476, 8182, 275, 538, 3943, 267, 855, 2841, 539, 609, 454, 257, 332, 652, 823, 2437, 263, 21545, 1872, 12956, 1070, 834, 332, 18863, 529, 257, 630, 23210, 1070, 543, 834, 332, 652, 714, 334, 257, 630, 28049, 13211, 5228, 519, 12308, 602, 30012, 1079, 1114, 17234, 267, 834, 332, 652, 714, 8487, 2304, 2038, 2296, 10259, 540, 15273, 16201, 7018, 538, 454, 293, 3757, 30241, 19537, 651, 781, 30576, 1137, 607, 834, 332, 592, 520, 578, 4799, 763, 2165, 568, 16789, 282, 621, 5921, 834, 332, 2544, 3697, 257, 538, 5053, 2676, 6518, 568, 711, 1152, 796, 11779, 855, 11234, 3248, 7224, 835, 4330, 20338, 540, 6404, 5198, 610, 454, 17682, 549, 7232, 2202, 753, 267, 14193, 15333, 790, 563, 28049, 543, 25763, 4892, 267, 7579, 573, 2103, 267, 543, 454, 303, 340, 15300, 681, 15092, 1031, 544, 652, 714, 334, 547, 1611, 540, 454, 332, 12089, 5198, 267, 855, 3622, 519, 2165, 3357, 547, 581, 454, 1952, 29736, 547, 4095, 4211, 14072, 22057, 23399, 563, 763, 3943, 2262, 544, 18863, 529, 568, 1732, 2676, 1721, 621, 1797, 3274, 513, 4999, 540, 14797, 563, 763, 2165, 834, 15869, 257, 3294, 3091, 2042, 563, 9223, 2406, 267, 519, 14797, 616, 1419, 5258, 676, 2168, 454, 20395, 5505, 883, 4563, 267, 6519, 267, 543, 14117, 267, 609, 454, 16446, 1373, 7923, 547, 519, 14117, 267, 543, 891, 616, 2016, 454, 614, 916, 899, 10598, 5514, 267, 24272, 553, 1355, 543, 27245, 1355, 267, 519, 454, 257, 1355, 257, 2495, 257, 899, 1701, 2368, 5094, 519, 454, 16446, 543, 14117, 267, 930, 5094, 454, 21691, 29498, 2103, 543, 9253, 6951, 2103, 540, 519, 7414, 563, 5278, 5094, 5101, 689, 4639, 20338, 454, 763, 24272, 22057, 3294, 568, 5258, 883, 1896, 14797, 610, 454, 11357, 268, 571, 806, 267, 8185, 954, 2719, 1194, 912, 292, 770, 4095, 267, 11335, 267, 1325, 18090, 543, 29735, 2676, 5976, 5101, 12075, 2810, 607, 6385, 607, 782, 519, 454, 6135, 267, 543, 20918, 923, 6385, 7106, 8960, 563, 8448, 338, 1039, 519, 22966, 1206, 547, 519, 824, 1614, 267, 855, 454, 28205, 616, 865, 954, 2719, 1194, 267, 609, 7592, 865, 20902, 2676, 331, 8504, 1945, 899, 2405, 3438, 8735, 753, 693, 454, 821, 4090, 543, 899, 20918, 923, 519, 1985, 2676, 7474, 972, 568, 2370, 547, 8930, 513, 2012, 547, 2676, 21955, 741, 6340, 8385, 513, 2186, 540, 717, 6130, 545, 543, 454, 3333, 2130, 513, 1279, 268, 6210, 2596, 2528, 602, 568, 1869, 22394, 569, 1766, 894, 563, 19226, 985, 267, 12017, 12579, 267, 5178, 13196, 267, 2871, 534, 2583, 267, 543, 21859, 1186, 625, 454, 2821, 2182, 2042, 540, 8760, 563, 3719, 865, 621, 4422, 609, 681, 2644, 543, 2349, 2931, 267, 1932, 563, 14303, 9506, 547, 7606, 540, 6404, 3979, 543, 3864, 22693, 2676, 10915, 1441, 2474, 723, 1044, 1031, 2676, 15153, 549, 976, 630, 27917, 628, 5174, 331, 871, 1070, 522, 2758, 9398, 630, 324, 12915, 5174, 331, 871, 264, 543, 865, 593, 563, 4322, 2474, 723, 3140, 2956, 3248, 3849, 6504, 13609, 1705, 711, 6427, 10168, 563, 5278, 2694, 540, 519, 1480, 2249, 267, 543, 782, 2676, 520, 930, 1448, 610, 1776, 267, 723, 1044, 22457, 563, 763, 12355, 6426, 568, 11954, 676, 10168, 267, 543, 454, 13757, 585, 476, 12573, 271, 1296, 267, 811, 610, 1447, 267, 1044, 454, 534, 2479, 1790, 6974, 2707, 543, 8594, 540, 10168, 2676, 320, 7613, 602, 5266, 811, 7642, 982, 454, 13731, 2103, 723, 1044, 4712, 547, 5431, 563, 2414, 581, 16268, 2221, 267, 835, 1131, 3277, 547, 454, 25567, 753, 540, 6404, 3864, 543, 3979, 22693, 454, 553, 20195, 5025, 325, 878, 534, 4892, 267, 950, 519, 25084, 568, 454, 16591, 543, 1697, 282, 1287, 835, 1131, 723, 20195, 268, 2026, 1014, 454, 25567, 753, 267, 20195, 268, 24465, 4892, 267, 543, 16402, 31787, 563, 306, 7219, 2681, 568, 513, 23815, 3815, 267, 543, 1058, 581, 3957, 14384, 4534, 454, 335, 1601, 4601, 607, 3043, 267, 12779, 267, 11909, 267, 678, 28854, 2676, 11927, 267, 14462, 267, 546, 639, 5652, 267, 6960, 267, 543, 3109, 20620, 718, 540, 891, 1459, 676, 519, 6634, 538, 3013, 563, 5278, 10236, 5505, 723, 9738, 711, 1152, 602, 454, 11004, 568, 606, 3312, 8098, 4869, 675, 540, 14797, 538, 4563, 20338, 2676, 8117, 849, 602, 1034, 723, 9715, 24272, 22057, 2609, 454, 514, 519, 1576, 540, 942, 269, 2311, 835, 1448, 267, 519, 454, 531, 2865, 9243, 543, 1256, 15028, 2262, 454, 257, 3712, 1819, 257, 729, 6964, 4922, 538, 519, 3345, 267, 1141, 454, 6202, 16162, 12723, 4079, 543, 1134, 15515, 6409, 539, 1453, 454, 4310, 834, 3712, 1819, 257, 607, 513, 9053, 2262, 563, 1103, 11047, 1276, 607, 1100, 835, 538, 519, 1158, 568, 796, 23469, 4849, 454, 571, 516, 3043, 1606, 7219, 2740, 11549, 16394, 910, 945, 10071, 958, 2049, 454, 785, 4593, 3234, 514, 2299, 1851, 20338, 910, 543, 267, 32047, 2676, 1492, 2681, 540, 1004, 781, 32675, 910, 1519, 24272, 22057, 610, 454, 810, 10777, 3043, 32675, 910, 8255, 2059, 513, 3638, 29984, 2676, 5228, 2669, 569, 23080, 573, 547, 16321, 4788, 1025, 2313, 20620, 527, 1131, 3100, 547, 723, 1044, 513, 9266, 1259, 547, 454, 324, 848, 883, 513, 1062, 540, 13288, 547, 513, 2016, 1268, 676, 454, 821, 781, 1367, 2960, 2681, 7488, 540, 5198, 563, 15900, 593, 267, 12075, 1572, 17417, 834, 21595, 1030, 2167, 2437, 454, 534, 813, 749, 566, 1100, 811, 5730, 982, 834, 7922, 2931, 4799, 288, 18784, 19494, 540, 1022, 11248, 786, 454, 3530, 867, 513, 5027, 8990 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2666, 693, 476, 272, 269, 279, 544, 521, 476, 273, 269, 513, 815, 476, 272, 269, 279, 544, 521, 715, 4855, 519, 11664, 540, 11508, 1063, 519, 7047, 517, 543, 519, 2666, 269, 589, 645, 595, 667, 589, 2121, 3196, 674, 6411, 593, 606, 1843, 540, 2527, 544, 267, 4929, 621, 547, 17108, 693, 476, 275, 269, 271, 544, 521, 476, 273, 269, 1403, 519, 1482, 2121, 3196, 674, 6411, 593, 606, 1843, 540, 2527, 476, 273, 332, 267, 922, 10231, 786, 581, 589, 269, 476, 272, 269, 271, 544, 521, 476, 273, 645, 269, 476, 273, 269, 271, 544, 521, 476, 273, 595, 544, 521, 476, 273, 667, 269, 476, 279, 269, 271, 544, 521, 589, 476, 276, 269, 271, 4846, 6405, 3625, 5787, 919, 1524, 513, 476, 4097, 9386, 693, 476, 275, 269, 273, 544, 521, 476, 273, 269, 4855, 519, 11664, 540, 11508, 1063, 519, 3625, 543, 519, 9386, 269, 589, 645, 595, 667, 692, 1015, 476, 2764, 269, 634, 1863, 1560, 6516, 3254, 2630, 4564, 513, 1835, 622, 1373, 1951, 13949, 2509, 519, 2451, 936, 513, 11315, 2627, 269, 674, 476, 273, 674, 476, 272, 674, 476, 274, 6904, 540, 519, 10321, 2099, 519, 3339, 3196, 543, 519, 11508, 3196, 9117, 593, 519, 1835, 622, 286, 674, 476, 275, 715, 3036, 300, 3201, 11123, 4753, 21598, 8453, 11123, 4753, 589, 269, 674, 476, 272, 674, 476, 273, 645, 269, 674, 476, 273, 674, 476, 274, 595, 269, 674, 476, 274, 674, 476, 275, 667, 269, 674, 476, 275, 674, 589, 8004, 10039, 513, 476, 9610, 715, 3196, 547, 513, 476, 3374, 4846, 536, 1446, 540, 18720, 693, 606, 5086, 540, 476, 2764, 1657, 8880, 269, 634, 11508, 3196, 9117, 593, 519, 536, 1446, 568, 476, 4649, 715, 269, 1548, 786, 581, 519, 8880, 10231, 540, 519, 536, 1446, 286, 674, 815, 476, 9610, 715, 476, 2764, 589, 544, 521, 476, 273, 645, 269, 476, 273, 269, 271, 544, 521, 476, 273, 595, 544, 521, 476, 273, 667, 269, 476, 273, 269, 277, 544, 521, 692, 1556, 476, 1789, 269, 589, 3625, 568, 593, 513, 11508, 1652, 13141, 710, 269, 6904, 540, 519, 1739, 568, 513, 2953, 1863, 1560, 6516, 585, 519, 3625, 286, 589, 269, 645, 269, 595, 269, 667, 269, 476, 4029, 269, 589, 7047, 593, 513, 11508, 1652, 2627, 568, 7923, 547, 513, 16304, 2527, 540, 476, 279, 269, 273, 4846, 269, 544, 476, 274, 269, 276, 544, 521, 4846, 1403, 713, 1062, 5787, 919, 693, 476, 274, 269, 276, 544, 521, 476, 273, 267, 1018, 568, 519, 2527, 544, 540, 519, 7047, 286, 589, 269, 476, 277, 269, 271, 4846, 645, 269, 476, 1428, 4846, 595, 269, 476, 2537, 4846, 667, 269, 476, 4029, 4846, 476, 3953, 269, 589, 476, 1428, 4846, 3625, 593, 513, 8880, 2627, 814, 513, 476, 1911, 715, 3196, 9117, 593, 621, 607, 3254, 269, 544, 815, 476, 1428, 269, 271, 4846, 674, 815, 476, 1911, 715, 1548, 568, 519, 3339, 3196, 286, 589, 269, 476, 5325, 715, 645, 269, 476, 1911, 715, 595, 269, 476, 15704, 715, 667, 269, 476, 26316, 715, 692, 1321, 476, 3451, 269, 6904, 540, 519, 1739, 11708, 2982, 519, 2078, 1063, 10231, 543, 2121, 3196, 286, 589, 269, 513, 645, 269, 513, 2121, 674, 2121, 674, 595, 269, 513, 667, 269, 513, 2121, 674, 2121, 674, 476, 4097, 269, 589, 476, 1321, 4846, 7047, 593, 513, 476, 2537, 11508, 1652, 13141, 710, 568, 4448, 547, 513, 3774, 607, 3254, 269, 9931, 1548, 568, 519, 8082, 570, 538, 519, 10260, 286, 589, 269, 476, 5379, 715, 645, 269, 476, 2004, 715, 595, 269, 476, 8099, 715, 667, 269, 476, 6344, 715, 692, 1724, 476, 3374, 269, 589, 476, 20862, 271, 4846, 29357, 568, 21409, 693, 3586, 3432, 538, 1377, 8184, 269, 674, 476, 1839, 15585, 528, 642, 4846, 1548, 568, 519, 3196, 674, 3177, 676, 519, 23301, 286, 589, 715, 645, 715, 595, 715, 667, 715, 476, 3607, 269, 589, 476, 1428, 4846, 3625, 814, 513, 3586, 10231, 540, 476, 273, 269, 273, 544, 521, 476, 273, 1524, 513, 476, 1789, 13141, 710, 269, 1548, 568, 519, 9588, 540, 519, 11508, 3196, 593, 519, 3625, 286, 544, 815, 476, 1428, 4846, 589, 269, 476, 3451, 715, 645, 269, 476, 6078, 715, 595, 269, 476, 10619, 715, 667, 269, 476, 9873, 715, 589, 1225, 1782, 4224, 568, 21409, 547, 519, 1318, 2066, 519, 4672, 607, 3254, 538, 519, 6516, 269, 6904, 540, 519, 1739, 1655, 4564, 519, 4229, 9117, 593, 519, 1225, 1782, 4224, 286, 589, 269, 645, 269, 595, 269, 667, 692, 1691, 476, 4343, 269, 634, 1062, 540, 7161, 593, 513, 11508, 1652, 2627, 538, 519, 6516, 2630, 568, 23960, 693, 476, 273, 269, 271, 544, 521, 476, 273, 269, 513, 815, 476, 273, 269, 476, 271, 544, 521, 4846, 476, 272, 269, 271, 4846, 2473, 476, 275, 269, 271, 4846, 1548, 568, 519, 8082, 538, 519, 10260, 693, 2473, 286, 589, 269, 476, 273, 269, 271, 715, 645, 269, 476, 277, 269, 271, 715, 595, 269, 476, 279, 269, 271, 715, 667, 269, 476, 1626, 715, 476, 4375, 589, 476, 1428, 4846, 3625, 568, 14593, 909, 513, 476, 3374, 13141, 710, 269, 589, 11508, 3196, 540, 476, 8099, 715, 6818, 1063, 519, 3625, 543, 519, 13141, 710, 269, 642, 1548, 5934, 3196, 674, 267, 1131, 581, 2556, 547, 1847, 519, 3625, 909, 519, 13141, 710, 693, 513, 3586, 3432, 286, 589, 269, 476, 2918, 715, 645, 269, 476, 10019, 715, 595, 269, 476, 5611, 715, 667, 269, 476, 5002, 715, 476, 3374, 674, 476, 2412, 269, 5565, 4229, 957, 693, 513, 2582, 1448, 607, 3254, 269, 1548, 568, 519, 9588, 540, 519, 4611, 3196, 286, 589, 269, 476, 1428, 715, 645, 269, 476, 2420, 715, 595, 269, 476, 2767, 715, 667, 269, 476, 1789, 715, 476, 1321, 715, 476, 1240, 715, 692, 1428, 476, 6078, 269, 5565, 13999, 616, 4448, 1927, 676, 513, 18052, 543, 5102, 2917, 593, 513, 11508, 1652, 20916, 7077, 607, 3254, 269, 1879, 519, 1062, 568, 5950, 267, 1018, 568, 519, 3355, 10231, 540, 519, 476, 2641, 4846, 2527, 286, 631, 8980, 301, 3951, 11070, 292, 5508, 5990, 8028, 4753, 299, 2207, 9569, 14192, 3918, 290, 3582, 5990, 631, 19798, 654, 21135, 570, 30728, 589, 544, 521, 476, 273, 909, 519, 13141, 710, 645, 544, 521, 476, 273, 1524, 519, 13141, 710, 595, 544, 521, 476, 273, 909, 519, 13141, 710, 667, 544, 521, 476, 273, 1524, 519, 13141, 710, 476, 5655, 269, 589, 476, 276, 269, 271, 4846, 3625, 568, 1373, 15504, 547, 519, 1318, 676, 513, 476, 4037, 715, 3196, 269, 1548, 568, 519, 3339, 3196, 593, 713, 3625, 286, 589, 269, 476, 2537, 715, 645, 269, 476, 2918, 715, 595, 269, 476, 5392, 715, 667, 269, 476, 4037, 715, 544, 815, 476, 276, 269, 271, 4846, 634, 1062, 540, 7161, 3254, 538, 519, 6516, 2630, 568, 1373, 18965, 547, 519, 1318, 693, 476, 275, 269, 476, 275, 544, 521, 476, 273, 269, 1548, 17444, 3196, 568, 4294, 676, 519, 1688, 286, 589, 269, 476, 271, 269, 274, 715, 645, 269, 476, 272, 269, 271, 715, 595, 269, 476, 272, 269, 274, 715, 667, 269, 476, 273, 269, 274, 715, 513, 284, 476, 275, 269, 275, 544, 521, 4846, 476, 271, 269, 1015, 4846, 18725, 25883, 1626, 476, 4510, 269, 589, 4846, 16886, 729, 17991, 693, 476, 7742, 544, 521, 883, 513, 3625, 540, 3574, 607, 3254, 538, 519, 6516, 2630, 269, 546, 32114, 606, 3328, 3196, 540, 476, 31405, 271, 715, 6770, 519, 16886, 547, 1964, 538, 519, 3574, 267, 1018, 3845, 546, 1705, 519, 16886, 23309, 519, 3625, 286, 589, 544, 645, 544, 595, 544, 667, 544, 476, 3393, 6993, 3196, 674, 568, 4294, 693, 534, 5086, 540, 476, 3374, 1657, 519, 8880, 1729, 7485, 320, 476, 2641, 4846, 1835, 622, 2066, 513, 6989, 553, 1397, 562, 2630, 269, 674, 692, 2162, 13053, 521, 4521, 540, 18289, 692, 577, 1986, 476, 276, 13053, 521, 4521, 540, 18289, 853, 1738, 1062, 476, 272, 269, 670, 4474, 1079, 9838, 13999, 12745, 538, 519, 1837, 281, 8791, 476, 276, 269, 274, 267, 4999, 540, 4229, 267, 7151, 476, 275, 269, 26432, 5163, 1510, 11508, 476, 273, 269, 29175, 1807, 281, 1546, 5120, 908, 692, 2162, 645, 264, 476, 30525, 544, 595, 264, 476, 23283, 544, 667, 264, 476, 3607, 278, 544, 8382, 281, 645, 692, 20797, 11068, 3410, 476, 272, 476, 272, 264, 1879, 513, 1612, 778, 583, 626, 26357, 689, 606, 20987, 267, 646, 5555, 10301, 513, 3586, 3432, 267, 1572, 519, 12363, 6991, 269, 901, 1797, 602, 589, 264, 519, 10231, 568, 3160, 547, 575, 269, 645, 264, 519, 3196, 540, 692, 2162, 8212, 281, 14362, 543, 10241, 267, 476, 277, 324, 717, 1014, 3712, 328, 3848, 476, 275, 18868, 281, 13053, 781, 16572, 540, 18289, 692, 30125, 281, 14362, 543, 10241, 267, 476, 277, 324, 717, 1014, 3712, 328, 3848, 476, 275, 18868, 281, 13053, 781, 16572, 540, 18289, 10417, 783, 5999, 476, 272, 264, 6904, 540, 13053, 781, 4031, 1655, 6941, 1946, 5179, 1235, 1058, 31617, 5346, 286, 589, 264, 519, 1101, 1876, 692, 2162, 8212, 476, 273, 288, 267, 27116, 645, 876, 281, 23317, 4534, 15604, 476, 1001, 272, 26189, 528, 281, 645, 269, 6182, 14852, 15937, 11929, 692, 30125, 476, 273, 288, 267, 27116, 645, 876, 281, 23317, 4534, 15604, 476, 1001, 272, 26189, 528, 281, 645, 269, 6182, 14852, 15937, 11929, 5442, 22552, 10813, 16739, 281, 2422, 513, 15513, 1948, 273, 547, 6445, 707, 1085, 656, 1258, 269, 3503, 707, 3009, 1297, 543, 19389, 621, 538, 896, 834, 13052, 4456, 715, 9331, 21612, 282, 257, 606, 7127, 692, 2162, 476, 276, 269, 17086, 543, 18289, 16927, 269, 10414, 568, 606, 5872, 602, 3123, 519, 10231, 540, 513, 1560, 269, 589, 6152, 7274, 780, 276, 269, 17086, 543, 18289, 16927, 476, 272, 10414, 568, 606, 5872, 602, 3123, 519, 10231, 540, 513, 1560, 269, 589, 6152, 7274, 269, 13053, 781, 3689, 4521, 281, 6333, 513, 1560, 593, 799, 1100, 2121, 3196, 6411, 269, 1403, 519, 1560, 568, 693, 1964, 267, 621, 786, 692, 2162, 11929, 476, 273, 568, 693, 476, 278, 10681, 14182, 18366, 568, 693, 476, 276, 281, 1428, 10681, 538, 476, 14681, 700, 7112, 529, 692, 265, 1635, 7662, 267, 855, 594, 544, 711, 642, 537, 4221, 585, 891, 2094, 594, 4769, 512, 2328, 873, 11929, 476, 273, 568, 693, 476, 278, 10681, 14182, 18366, 568, 693, 476, 276, 281, 1428, 10681, 538, 476, 14681, 700, 7112, 529, 1703, 616, 3063, 5604, 3108, 2221, 1299, 14182, 31849, 540, 2259, 11400, 692, 2162, 476, 1015, 269, 272, 26592, 269, 8382, 281, 589, 24430, 281, 476, 2004, 266, 692, 6637, 476, 1015, 6052, 543, 4518, 476, 1015, 269, 272, 26592, 476, 272, 264, 589, 1126, 1281, 476, 12573, 808, 540, 960, 1247, 17444, 513, 4216, 689, 519, 2666, 909, 547, 1010, 3529, 2777, 609, 513, 18052, 269, 634, 3529, 2777, 568, 476, 275, 269, 279, 544, 1657, 519, 2666, 269, 1548, 568, 519, 2527, 692, 2162, 11682, 312, 13199, 1948, 279, 11068, 3410, 594, 476, 274, 269, 6187, 269, 1001, 274, 692, 303, 14176, 1556, 1948, 279, 11068, 3410, 594, 476, 274, 269, 6187, 269, 25320, 6673, 8212, 268, 13053, 521, 16572, 6673, 11929, 13038, 14893, 5999, 1948, 272, 1948, 275, 476, 272, 269, 1879, 519, 11508, 1652, 1062, 3254, 1657, 568, 18965, 676, 606, 4294, 3196, 540, 9588, 674, 267, 519, 8082, 692, 2162, 17976, 476, 277, 269, 13379, 269, 570, 3290, 269, 16453, 10414, 269, 853, 1738, 674, 9689, 269, 12338, 24274, 266, 297, 28427, 281, 476, 275, 269, 279, 268, 275, 269, 1321, 267, 2034, 3368, 540, 3296, 476, 275, 269, 278, 692, 299, 15145, 476, 277, 13379, 570, 3290, 16453, 10414, 853, 1738, 674, 9689, 12338, 24274, 266, 297, 28427, 281, 476, 275, 269, 279, 268, 275, 269, 1321, 267, 2034, 3368, 540, 3296, 476, 275, 269, 278, 769, 713, 11000, 267, 594, 544, 2469, 547, 1865, 2185, 1114, 5686, 540, 4229, 281, 2597, 267, 8082, 267, 519, 3339, 692, 2162, 15562, 18306, 4888, 14684, 2207, 269, 3503, 519, 2262, 610, 8360, 602, 1655, 29349, 1142, 3948, 610, 4267, 519, 2243, 780, 2750, 600, 8745, 15562, 18306, 4888, 14684, 2207, 269, 3503, 519, 2262, 610, 8360, 602, 1655, 29349, 1142, 3948, 610, 4267, 519, 2243, 269, 476, 272, 264, 589, 1268, 593, 513, 521, 1194 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6502, 476, 277, 268, 1556, 616, 1269, 476, 276, 829, 2875, 1547, 15789, 585, 6502, 476, 1321, 268, 1240, 616, 1269, 476, 1015, 829, 2875, 1547, 21992, 14261, 2838, 4586, 8923, 3346, 5244, 7849, 626, 8861, 16423, 693, 630, 476, 278, 4792, 3738, 476, 6858, 277, 268, 276, 6246, 278, 610, 2220, 6504, 7711, 554, 322, 1706, 802, 1547, 2121, 585, 3606, 1344, 4586, 310, 5793, 31401, 11016, 2073, 5988, 476, 1240, 2073, 476, 1015, 513, 1547, 544, 1547, 12698, 476, 277, 268, 1556, 10812, 5162, 998, 17634, 8206, 1548, 4523, 547, 4672, 950, 20057, 1194, 609, 1426, 7801, 2073, 6070, 2073, 610, 4006, 7790, 12706, 24181, 543, 1451, 827, 13471, 676, 3843, 547, 1832, 15074, 11294, 968, 2831, 9232, 689, 16171, 1547, 5685, 880, 519, 3992, 1055, 609, 521, 11313, 544, 2803, 476, 2336, 20776, 341, 2526, 17125, 1562, 543, 9605, 268, 28275, 11016, 2073, 5988, 476, 1240, 2073, 476, 272, 533, 1547, 544, 1547, 12698, 476, 1321, 268, 1240, 4658, 666, 1152, 7639, 476, 274, 3108, 538, 10792, 4365, 1510, 12062, 610, 3595, 1547, 16593, 2685, 596, 4465, 11313, 512, 1265, 3054, 538, 513, 6668, 3510, 2073, 855, 952, 596, 798, 2073, 596, 11313, 26270, 581, 1134, 5423, 547, 7639, 538, 4313, 1310, 8026, 12062, 2679, 543, 3595, 3613, 691, 532, 2553, 1547, 5685, 880, 519, 12784, 1055, 609, 521, 11313, 544, 2803, 476, 2336, 310, 871, 344, 16661, 11016, 2073, 4728, 476, 1240, 2073, 476, 1015, 513, 1547, 544, 1547, 12698, 476, 277, 268, 1556, 24627, 338, 2073, 14324, 29777, 2073, 543, 4764, 2073, 19315, 1250, 8206, 2991, 1565, 827, 891, 4365, 9259, 543, 875, 547, 581, 2922, 1282, 891, 2073, 2322, 707, 1702, 547, 2259, 676, 11264, 513, 5254, 292, 4456, 4161, 540, 2679, 513, 20538, 2777, 547, 7639, 4049, 4365, 4586, 18250, 30208, 5843, 4211, 3916, 919, 11016, 2073, 4728, 476, 1240, 2073, 476, 272, 533, 1547, 544, 1547, 12698, 476, 1321, 268, 1240, 4208, 798, 5614, 3552, 25154, 16036, 1101, 593, 5045, 1922, 5217, 19527, 7790, 1215, 666, 9456, 646, 6447, 1442, 4054, 1332, 693, 5062, 30208, 7186, 5244, 950, 789, 5749, 11313, 512, 1336, 538, 1082, 824, 4025, 538, 18518, 7790, 5843, 12641, 23660, 616, 519, 2626, 1107, 789, 616, 1507, 2127, 1141, 519, 2837, 543, 824, 2175, 616, 1114, 689, 519, 4478, 1858, 1547, 31385, 519, 2890, 12641, 23660, 1472, 5062, 30208, 7186, 5244, 676, 2921, 519, 2011, 543, 3037, 5210, 4586, 3383, 559, 8111, 560, 1513, 11016, 2073, 4989, 476, 2420, 2073, 476, 1015, 513, 1547, 544, 12698, 476, 277, 268, 1556, 5192, 519, 1085, 17274, 593, 11934, 2073, 11761, 2073, 24600, 2073, 543, 17494, 1282, 713, 3946, 6823, 3992, 8206, 4841, 786, 7119, 538, 606, 11761, 17431, 543, 2263, 21431, 24600, 998, 2679, 741, 1360, 1378, 21431, 11396, 4586, 306, 7739, 532, 1924, 2812, 11016, 2073, 4989, 476, 2420, 2073, 476, 272, 533, 1547, 544, 1547, 12698, 476, 1321, 268, 1240, 13245, 11934, 616, 4105, 585, 1272, 593, 3047, 8206, 21733, 790, 513, 4396, 5748, 593, 11934, 2433, 875, 789, 1106, 2073, 1946, 2635, 11934, 616, 1271, 2073, 543, 875, 547, 1491, 1416, 540, 938, 11934, 1547, 24732, 6823, 2238, 786, 3142, 3037, 543, 1216, 5726, 547, 1272, 476, 2336, 1240, 3040, 8940, 1547, 26673, 9581, 15575, 344, 303, 10225, 1547, 610, 326, 0, 1432, 18428, 1705, 519, 670, 1575, 320, 14316, 723, 888, 763, 1034, 14969, 18428, 941, 519, 6519, 1546, 619, 7219, 19933, 543, 519, 808, 18804, 19933, 269, 3962, 540, 891, 23929, 16768, 476, 1015, 2395, 269, 769, 519, 6519, 1546, 619, 7219, 19933, 267, 519, 25249, 4371, 3043, 632, 619, 9469, 909, 593, 1279, 18635, 607, 789, 546, 2331, 269, 1879, 3257, 519, 808, 18804, 19933, 267, 519, 2367, 20595, 2212, 27512, 21243, 609, 3574, 701, 14982, 9470, 1186, 563, 1432, 568, 519, 1101, 13687, 16008, 888, 763, 3689, 20363, 568, 4547, 538, 543, 8964, 616, 23475, 543, 19001, 616, 1500, 267, 982, 6362, 519, 13687, 585, 922, 15093, 267, 543, 982, 6362, 20363, 19716, 585, 1200, 10516, 269, 3414, 713, 267, 22242, 616, 18056, 540, 519, 1650, 540, 20363, 19716, 267, 543, 1762, 1004, 616, 6026, 519, 2984, 540, 741, 11937, 563, 1432, 1705, 519, 962, 1755, 330, 14316, 798, 585, 18428, 888, 7197, 18428, 3459, 609, 606, 2025, 812, 973, 1746, 513, 1279, 8357, 1242, 669, 656, 269, 3973, 513, 7544, 9434, 585, 2947, 610, 4557, 2395, 729, 2944, 676, 519, 2367, 269, 634, 2367, 10268, 741, 1034, 12595, 22590, 693, 519, 7544, 269, 769, 519, 15489, 267, 519, 962, 1755, 330, 10356, 585, 4557, 2395, 585, 519, 1546, 619, 7219, 19933, 538, 799, 3043, 632, 619, 9469, 941, 1031, 563, 2691, 1705, 519, 1101, 13687, 16008, 1491, 1747, 888, 299, 1168, 529, 543, 18412, 14754, 513, 1101, 1606, 531, 3000, 16008, 693, 22966, 559, 334, 22484, 538, 519, 5614, 540, 476, 5197, 277, 593, 741, 2132, 3460, 563, 1432, 11812, 798, 519, 670, 1575, 320, 543, 962, 1755, 330, 1869, 8661, 585, 476, 1015, 2395, 1169, 1032, 888, 9824, 580, 542, 634, 670, 1575, 320, 9976, 5993, 2622, 20622, 531, 18428, 267, 585, 799, 695, 600, 753, 5340, 5728, 32537, 543, 23929, 971, 607, 519, 6519, 1546, 619, 7219, 19933, 543, 519, 808, 18804, 19933, 269, 901, 16008, 729, 4371, 538, 1808, 6753, 585, 4557, 2395, 538, 3735, 4832, 610, 2887, 563, 3963, 568, 519, 1101, 13687, 16008, 1271, 888, 763, 678, 924, 568, 5156, 547, 1202, 675, 519, 13687, 2196, 585, 519, 2104, 543, 26549, 519, 1747, 538, 799, 519, 13687, 729, 9575, 269, 3509, 11031, 723, 21496, 3689, 20363, 24583, 3000, 625, 1739, 519, 5389, 540, 741, 11937, 26621, 519, 2027, 2078, 4095, 1004, 723, 609, 13687, 543, 609, 10068, 563, 1432, 1281, 519, 13687, 21843, 538, 7111, 1977, 2528, 888, 763, 7111, 20363, 13507, 23327, 11606, 267, 12680, 267, 13884, 543, 25430, 269, 1280, 5215, 540, 1296, 267, 20363, 723, 1044, 519, 3119, 1426, 2707, 585, 19566, 11076, 7111, 4892, 543, 616, 3810, 15197, 563, 1432, 851, 540, 519, 13687, 1272, 4783, 1500, 519, 12075, 3494, 13687, 941, 32161, 888, 5715, 2103, 3494, 13687, 941, 32161, 286, 634, 1517, 1882, 789, 941, 32161, 2094, 789, 1131, 2097, 1394, 1032, 1310, 1032, 5356, 2933, 547, 519, 967, 2103, 269, 1548, 5686, 540, 1148, 1705, 519, 1004, 3132, 888, 1432, 729, 519, 670, 1575, 320, 4984, 888, 763, 973, 2787, 540, 9589, 12596, 729, 606, 1271, 851, 540, 2757, 670, 1575, 320, 4984, 269, 1744, 16120, 1143, 729, 849, 1455, 282, 695, 600, 753, 685, 12375, 941, 6976, 538, 5959, 1756, 16115, 610, 632, 619, 7219, 29198, 269, 8422, 2101, 23929, 941, 4371, 12422, 585, 519, 4324, 540, 519, 2146, 267, 607, 941, 5614, 543, 2887, 30060, 905, 6814, 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 ]
[ 0, 9463, 495, 27747, 481, 28793, 25426, 368, 16088, 1708, 271, 268, 6021, 268, 1626, 476, 1015, 281, 1240, 281, 4375, 17276, 369, 493, 25335, 486, 418, 361, 350, 12255, 16088, 418, 361, 350, 476, 30853, 26033, 483, 281, 476, 10951, 361, 419, 360, 503, 31308, 509, 10254, 505, 454, 22068, 591, 3824, 582, 267, 513, 1360, 1271, 2186, 540, 2724, 538, 3504, 3624, 267, 729, 24268, 883, 3824, 582, 676, 8988, 543, 4922, 6933, 730, 538, 519, 2344, 269, 18234, 3824, 582, 3323, 538, 12390, 19092, 267, 543, 621, 729, 5641, 11179, 19952, 269, 1717, 267, 621, 2731, 7173, 9229, 538, 30721, 19092, 269, 769, 29305, 19092, 267, 8988, 3824, 582, 2968, 519, 1292, 9304, 538, 10009, 269, 5221, 540, 2921, 834, 18314, 257, 607, 519, 2597, 1770, 267, 621, 729, 1419, 1572, 834, 338, 559, 591, 3824, 582, 2668, 1703, 616, 1082, 5686, 540, 8988, 3824, 1824, 538, 29305, 19092, 269, 3962, 3148, 814, 922, 1378, 11347, 3337, 269, 769, 2489, 267, 972, 616, 962, 10224, 321, 7776, 3337, 267, 9764, 3337, 267, 13551, 3337, 267, 2597, 3337, 267, 22765, 3337, 267, 2895, 3118, 3337, 267, 3092, 269, 898, 568, 849, 5258, 883, 2185, 5686, 281, 835, 568, 13391, 1195, 514, 267, 799, 568, 9640, 21539, 8032, 543, 22179, 476, 2004, 9149, 836, 282, 519, 2034, 568, 5420, 3824, 582, 267, 799, 568, 6140, 17200, 8032, 543, 22179, 827, 476, 1015, 9149, 836, 267, 849, 1634, 607, 1535, 807, 1195, 10224, 321, 7776, 282, 519, 3791, 568, 2473, 807, 984, 7776, 610, 1744, 340, 9926, 328, 267, 799, 568, 2848, 3139, 3694, 8032, 543, 22179, 476, 1321, 9149, 836, 267, 849, 1634, 607, 2473, 807, 5317, 282, 519, 8772, 568, 1447, 982, 835, 610, 1079, 4773, 540, 8988, 267, 799, 616, 1572, 1705, 328, 11809, 340, 267, 674, 15120, 16852, 267, 3092, 269, 2201, 519, 4395, 540, 519, 3824, 582, 568, 519, 14890, 918, 836, 3495, 781, 2012, 267, 543, 593, 519, 5377, 568, 519, 2262, 834, 304, 532, 19092, 8988, 2668, 4706, 1283, 568, 899, 513, 10935, 267, 922, 1394, 568, 899, 513, 10935, 267, 543, 922, 3068, 568, 899, 513, 2013, 269, 901, 3824, 582, 1826, 7939, 267, 2511, 568, 6654, 267, 519, 16826, 568, 2312, 267, 519, 3312, 15098, 267, 593, 519, 772, 2529, 269, 2472, 267, 1745, 5230, 538, 1688, 269, 901, 14951, 814, 513, 2189, 11091, 1604, 269, 898, 568, 6923, 12444, 1242, 1472, 543, 693, 519, 5377, 269, 634, 2627, 540, 519, 14951, 8952, 519, 3312, 8988, 1769, 269, 634, 8988, 568, 3636, 543, 3043, 269, 634, 14951, 1627, 328, 568, 18198, 543, 26080, 269, 18234, 3824, 1824, 899, 713, 267, 799, 723, 19017, 936, 942, 543, 3140, 2528, 267, 6923, 20546, 6986, 8988, 543, 723, 1390, 4015, 1871, 269, 0, 288, 5722, 4458, 6040, 8004, 568, 19864, 779, 1101, 1480, 2013, 540, 670, 278, 301, 280, 6177, 2770, 267, 2199, 8128, 1767, 19108, 607, 3624, 779, 12176, 540, 519, 2068, 3262, 547, 519, 3854, 563, 763, 8004, 267, 4171, 3237, 616, 16738, 18318, 267, 729, 538, 513, 7123, 2783, 538, 6413, 267, 519, 19864, 1072, 17531, 1767, 269, 4173, 3993, 543, 4651, 1185, 1044, 27170, 1441, 585, 8343, 267, 855, 1185, 3254, 1100, 2589, 865, 2484, 267, 621, 3773, 563, 9515, 2919, 513, 8611, 267, 15319, 11563, 543, 15677, 593, 13628, 267, 621, 1767, 267, 543, 1200, 3237, 3576, 1200, 547, 6413, 269, 27842, 689, 1200, 7318, 2318, 585, 670, 278, 301, 280, 519, 1739, 1554, 267, 543, 519, 3084, 2068, 1852, 4099, 9672, 519, 2164, 19108, 563, 24336, 8387, 9307, 5176, 1079, 4374, 3516, 602, 789, 1185, 1336, 519, 670, 278, 301, 280, 8833, 538, 3425, 585, 519, 1101, 942, 267, 543, 519, 1297, 540, 9672, 5563, 9782, 547, 476, 5392, 19108, 267, 476, 1556, 540, 7247, 723, 5747, 563, 29128, 519, 8004, 779, 4576, 267, 782, 3105, 2665, 538, 519, 12176, 1185, 1044, 16876, 547, 9456, 3624, 267, 7366, 540, 12919, 689, 519, 3854, 563, 32546, 4250, 519, 19175, 540, 971, 8290, 4573, 908, 883, 513, 1106, 3362, 18993, 24777, 1063, 3425, 267, 799, 1131, 723, 519, 1761, 547, 9594, 513, 6855, 563, 4913, 267, 519, 2622, 2657, 9257, 630, 21766, 264, 1767, 713, 3018, 602, 972, 729, 607, 2943, 1100, 2963, 540, 1480, 3562, 25993, 6771, 540, 670, 278, 301, 280, 563, 10890, 8128, 538, 3624, 2161, 789, 798, 711, 917, 4010, 875, 519, 3644, 568, 10825, 267, 855, 621, 568, 5156, 547, 581, 15385, 547, 3425, 689, 5017, 267, 24254, 2527, 16738, 524, 1638, 338, 538, 1896, 4872, 563, 763, 6167, 5253, 543, 11982, 9257, 814, 1767, 670, 278, 301, 280, 2982, 968, 3530, 6541, 892, 547, 3425, 1247, 4929, 968, 854, 7646, 610, 1100, 2068, 892, 538, 7783, 16738, 267, 1818, 4466, 519, 2707, 540, 6771, 811, 2352, 563, 10267, 978, 9947, 267, 13030, 1673, 1311, 528, 540, 667, 11939, 6413, 267, 1141, 519, 8004, 729, 1373, 5701, 267, 5143, 1533, 3376, 322, 2120, 595, 6311, 309, 281, 968, 30706, 2094, 519, 12176, 3323, 538, 29258, 649, 723, 1044, 1818, 21339, 3034, 6826, 18268, 267, 799, 814, 513, 2551, 540, 811, 982, 476, 736, 2929, 267, 814, 2907, 17049, 2661, 16738, 9467, 543, 25190, 517, 13847, 267, 519, 1072, 17531, 1767, 563, 5415, 982, 476, 4335, 5017, 941, 7583, 1194, 538, 519, 1858, 1141, 519, 1920, 2661, 538, 27040, 19864, 267, 855, 5439, 7318, 2942, 585, 670, 278, 301, 280, 267, 2473, 514, 327, 7699, 3377, 8116, 3773, 267, 19696, 8387, 563, 2005, 1767, 519, 2749, 3075, 7245, 1185, 1044, 10288, 547, 6006, 909, 267, 1519, 2614, 23111, 604, 1663, 267, 519, 4915, 1034, 4122, 1031, 547, 1521, 6177, 2770, 538, 3425, 267, 585, 1079, 2929, 1004, 563, 5825, 619, 540, 3624, 779, 5458, 569, 2442, 2890, 4565, 9233, 6829, 6161, 269, 2290, 24016, 1004, 547, 968, 339, 820, 811, 1964, 543, 979, 856, 1447, 3034, 22154, 568, 519, 1101, 2013, 538, 19864, 269, 898, 7902, 538, 7187, 3624, 269, 901, 568, 513, 3983, 1129, 2223, 11540, 1776, 563, 4537, 534, 25131, 814, 1185, 476, 2641, 9672, 2665, 865, 2484, 543, 729, 519, 1101, 1747, 547, 26699, 2661, 16738, 9467, 543, 524, 1638, 5017, 2063, 3018, 267, 4553, 676, 824, 4872, 538, 9456, 3624, 563, 1103, 476, 1220, 274, 4457, 8128, 941, 15034, 540, 3843, 547, 3382, 909, 519, 12176, 540, 16568, 799, 4682, 593, 547, 6146, 827, 476, 8517, 1004, 11451, 563, 4913, 267, 3624, 814, 1044, 26916, 585, 11413, 936, 670, 278, 301, 280, 267, 609, 519, 14959, 6031, 621, 729, 20938, 609, 519, 1377, 540, 1344, 4687, 543, 2475, 3744, 7249, 7806, 6819, 621, 585, 968, 1492, 7805, 3432, 609, 799, 519, 670, 278, 301, 280, 3644, 729, 4857, 892, 538, 513, 1715, 4789, 4750, 540, 6925, 2376, 563, 19770, 814, 1767, 621, 26770, 547, 723, 513, 6669, 4712, 538, 5722, 3275, 267, 855, 538, 519, 2376, 519, 2475, 4966, 1767, 3384, 835, 1223, 1491, 968, 28236, 3275, 3034, 8072, 17472, 661, 12702, 6579, 29368, 6020, 9331, 685, 281, 15990, 779, 2799, 8878, 7836, 568, 513, 1434, 1900, 267, 855, 621, 2115, 547, 798, 811, 547, 723, 519, 2702, 547, 15658, 14699, 689, 3624, 267, 513, 9972, 2475, 4013, 1767, 634, 2475, 4566, 547, 6133, 607, 1082, 607, 5722, 2101, 9604, 1949, 2443, 1519, 15183, 267, 23593, 28862, 543, 19025, 2443, 547, 15990, 267, 2185, 1004, 5432, 609, 519, 5717, 1767, 269, 623, 2720, 5224, 5722, 6455, 693, 2899, 568, 513, 4686, 22576, 689, 1296, 540, 30675, 538, 799, 2475, 4108, 6455, 547, 15990, 941, 22274, 856, 543, 5402, 26215, 730, 547, 7413, 13253, 609, 19864, 269, 1717, 267, 2475, 5518, 18496, 11686, 779, 7245, 814, 713, 1032, 1831, 811, 10728, 609, 3624, 267, 543, 519, 6455, 1131, 2244, 607, 1894, 1063, 19864, 543, 6115, 616, 693, 741, 9803, 1448, 538, 5756, 936, 25197, 725, 540, 838, 3539, 267, 29886, 4123, 13253, 267, 13882, 827, 519, 454, 12710, 5308, 292, 13673, 4596, 7419, 307, 8991, 281, 11153, 540, 519, 623, 6369, 25142, 32062, 602, 18084, 519, 11667, 1899, 540, 519, 26463, 3357, 1369, 476, 6924, 14790, 540, 670, 7562, 32627, 267, 5373, 21855, 689, 15990, 267, 519, 18591, 1767, 2311, 2547, 476, 1240, 4457, 4108, 8484, 19108, 24363, 883, 519, 4182, 779, 2011, 8878, 8446, 7997, 630, 4696, 22003, 264, 593, 519, 2034, 1554, 540, 513, 2475, 15518, 566, 779, 3643, 267, 519, 12080, 540, 2817, 16470, 1767, 267, 4946, 602, 519, 4108, 15527, 676, 11766, 532, 606, 2011, 8878, 23828, 1062, 547, 6895, 741, 2238, 269, 589, 15518, 566, 3366, 676, 2475, 7201, 572, 4038, 776, 540, 3557, 585, 9483, 12618, 267, 6052, 543, 519, 5113, 3223, 603, 26689, 577, 593, 13628, 3323, 513, 1614, 6377, 3643, 547, 15990, 269, 634, 18591, 689, 13628, 3323, 1857, 1944, 519, 3527, 540, 519, 4457, 4658, 779, 8644, 3130, 8136, 630, 303, 6369, 264, 538, 15990, 779, 5084, 22003, 593, 922, 5680, 3135, 543, 12108, 269, 4340, 547, 18591, 5359, 267, 476, 1240, 623, 6369, 8484, 454, 310, 3036, 32578, 744, 23615, 2316, 10933, 286, 24857, 308, 7548, 10557, 13660, 340, 18191, 784, 17792, 602, 646, 1185, 4371, 513, 851, 6066, 2990, 693, 513, 4457, 6280, 610, 8678, 3624, 779, 23897, 663, 13669, 757, 5358, 589, 11134, 585, 519, 2022, 540, 2817, 15990, 2160, 540, 3163, 543, 5303, 630, 18199, 19851, 264, 7022, 19108, 12628, 856, 540, 519, 5198, 1739, 513, 1867, 15819, 1010, 6402, 547, 4457, 24243, 543, 2229, 3292, 269, 10557, 13660, 340, 18191, 784, 630, 23521, 492, 419, 363, 353, 18809, 1070, 513, 7548, 693, 2817, 15990, 2160, 779, 630, 18199, 308, 264, 3114, 4702, 8257, 267, 729, 513, 4759, 540, 3624, 779, 26284, 10202, 836, 18623, 685, 5358, 538, 476, 1220, 277, 543, 729, 593, 519, 1592, 540, 922, 23897, 663, 13669, 757, 5358, 538, 476, 1001, 278, 267, 513, 1867, 676, 4457, 25082, 19257, 2928, 9012, 12139, 1767, 19108, 269, 634, 2376, 1767, 602, 10557, 568, 16143, 540, 2348, 4371, 513, 851, 6066, 2816, 693, 519, 4498, 16535, 4659, 540, 5303, 538, 3624, 543, 729, 519, 18579, 454, 288, 15990, 3150, 6177, 4027, 1895, 19108, 1767, 602, 621, 814, 1044, 14736, 539, 856, 540, 16819, 16908, 4139, 2443, 513, 2518, 5726, 11450, 2443, 1310, 621, 15189, 547, 1129, 513, 3948, 6031, 621, 1131, 2760, 12167, 7115, 269, 634, 12872, 701, 328, 2861, 4457, 8187, 16819, 18966, 1767, 602, 16819, 16908, 4139, 2063, 3018, 20366, 547, 4894, 621, 267, 10678, 513, 11450, 602, 1185, 1044, 538, 1747, 2094, 476, 1960, 277, 269, 3683, 519, 2250, 476, 736, 1296, 267, 519, 10480, 3130, 814, 4957, 922, 2296, 2012, 1614, 2053, 547, 14183, 16819, 16908, 4139, 267, 543, 5063, 519, 3486, 1895, 18796, 602, 621, 1689, 922, 4457, 2012, 543, 1129, 513, 3948, 602, 621, 568, 968, 845, 958, 22867, 547, 711, 0, 27832, 976, 3245, 5020, 540, 4095, 6056, 619, 281, 4210, 9564, 966, 633, 16988, 7701, 454, 18933, 9564, 966, 633, 16988, 7701, 729, 513, 22082, 540, 7787, 2219, 267, 538, 7881, 543, 4984, 267, 538, 2413, 3127, 269, 1261, 6836, 547, 11028, 4290, 5573, 590, 1678, 4673, 779, 1523, 540, 5917, 7159, 320, 538, 10548, 752, 16194, 3534, 20368, 327, 753, 320, 779, 10752, 269, 1261, 6836, 547, 2285, 513, 7787, 267, 6405, 543, 3621, 2272, 540, 4052, 28174, 9017, 269, 1261, 9763, 519, 3844, 1448, 540, 28174, 9017, 607, 519, 9322, 538, 4763, 269, 3571, 2093, 30075, 519, 10952, 543, 1570, 3344, 269, 1261, 5249, 547, 3142, 856, 519, 10952, 2093, 538, 519, 9699, 4984, 856, 585, 519, 1455, 812, 269, 3571, 4528, 540, 28174, 9017, 568, 1572, 19750, 28174, 9017, 269, 966, 633, 16988, 7701, 779, 10752, 616, 2407, 540, 2093, 540, 1480, 1143, 563, 14367, 6138, 568, 1759, 593, 519, 2856, 540, 10847, 998, 519, 2048, 338, 16291, 540, 2494, 8730, 610, 715, 7568, 541, 27011, 269, 5272, 13442, 24151, 519, 9759, 540, 519, 10143, 269, 4935, 267, 10847, 540, 2696, 666, 581, 1655, 2944, 998, 3028, 547, 519, 824, 2713, 7919, 269, 2353, 1480, 7919, 616, 5732, 10143, 269, 966, 633, 16988, 7701, 1705, 711, 3398, 606, 791, 5966, 543, 16750, 3239, 540, 519, 2696, 563, 292, 6123, 540, 19750, 28174, 9017, 912, 763, 18408, 540, 28174, 9017, 814, 547, 581, 13736, 538, 519, 1514, 1158, 563, 309, 539, 9017, 568, 513, 8471, 4984, 269, 634, 1614, 5933, 267, 29625, 540, 28174, 9017, 268, 5917, 7159, 320, 267, 6250, 626, 611, 341, 7159, 320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4905, 6751, 267, 3627, 590, 1251, 514, 2999, 297, 306, 1251, 514, 693, 6067, 764, 269, 636, 776, 1633, 12975, 11417, 342, 4710, 1384, 285, 26450, 454, 285, 594, 993, 14281, 676, 707, 3210, 269, 10803, 5713, 1079, 5301, 912, 285, 16759, 543, 8367, 4152, 269, 6884, 649, 616, 26752, 543, 3069, 2676, 285, 17550, 267, 6323, 267, 610, 1945, 3116, 2995, 721, 1018, 568, 519, 2953, 267, 610, 454, 285, 5310, 594, 1058, 1482, 1034, 7850, 2203, 269, 6884, 3069, 14543, 721, 543, 649, 454, 285, 6999, 547, 3442, 1063, 1079, 12721, 3631, 269, 901, 568, 1250, 2013, 269, 476, 634, 1591, 454, 285, 7306, 949, 2097, 689, 835, 3339, 3892, 630, 1492, 800, 476, 272, 264, 610, 1079, 630, 1492, 800, 476, 273, 1916, 285, 19805, 1063, 519, 3631, 786, 948, 721, 2022, 3634, 827, 17550, 269, 594, 1616, 454, 285, 547, 946, 7194, 547, 948, 803, 6430, 1063, 519, 1079, 12721, 3631, 267, 543, 454, 285, 3976, 1217, 1250, 1620, 540, 17550, 269, 898, 568, 3020, 602, 7194, 454, 285, 666, 1405, 2995, 803, 799, 2203, 568, 519, 834, 322, 8091, 257, 610, 834, 25152, 257, 2203, 267, 855, 621, 1058, 454, 285, 581, 2111, 547, 948, 803, 2824, 519, 811, 834, 1228, 12930, 257, 610, 834, 14363, 257, 610, 834, 743, 29141, 454, 285, 547, 646, 5168, 257, 2203, 563, 11417, 285, 769, 1022, 2680, 267, 594, 1869, 1810, 1405, 917, 875, 547, 3514, 513, 2582, 3339, 3892, 454, 285, 543, 1205, 513, 2268, 540, 3514, 552, 3052, 269, 2845, 10171, 563, 11417, 285, 3627, 454, 11417, 11417, 285, 3627, 6424, 590, 1251, 514, 631, 6185, 1421, 1912, 6185, 563, 285, 7905, 540, 6925, 454, 285, 12751, 267, 4437, 739, 520, 2524, 543, 769, 26197, 454, 285, 2160, 540, 15930, 3427, 540, 6925, 10406, 540, 15168, 26585, 543, 454, 285, 15168, 12278, 6925, 454, 285, 22768, 22622, 6481, 4741, 454, 285, 476, 1015, 3345, 5682, 324, 9335, 454, 285, 24321, 6717, 630, 6630, 270, 1240, 270, 16165, 994, 285, 22768, 267, 11022, 476, 18891, 4905, 268, 13923, 275, 454, 285, 630, 17490, 264, 476, 25148, 268, 2568, 276, 268, 278, 1556, 280, 454, 285, 630, 293, 1314, 264, 476, 25148, 268, 2568, 276, 268, 8064, 272, 274, 630, 8923, 1289, 6049, 1297, 1657, 1991, 547, 535, 1314, 532, 994, 11417, 285, 21188, 26450, 25511, 614, 2999, 321, 30516, 614, 269, 27174, 278, 693, 575, 21166, 2593, 285, 476, 6021, 270, 2420, 270, 1428, 476, 275, 281, 4366, 6751, 21188, 454, 285, 594, 3513, 581, 5618, 538, 1250, 16253, 547, 596, 1312, 267, 607, 713, 568, 1055, 1888, 563, 11417, 285, 1924, 1018, 286, 2353, 713, 8579, 8631, 568, 13061, 2545, 2292, 263, 663, 540, 454, 285, 30940, 6111, 267, 2094, 1759, 593, 29297, 18352, 543, 2178, 454, 285, 10054, 267, 19037, 264, 1547, 634, 2243, 540, 1719, 568, 2436, 513, 7848, 454, 285, 3514, 1732, 17015, 519, 2796, 267, 799, 1152, 519, 20525, 6487, 543, 799, 9039, 454, 11417, 285, 594, 917, 602, 1082, 786, 10990, 609, 713, 4534, 6148, 513, 1906, 1522, 3858, 4534, 454, 285, 855, 5225, 6494, 782, 30491, 267, 1202, 6699, 267, 17192, 267, 543, 4121, 11407, 547, 454, 285, 803, 27352, 267, 607, 594, 723, 2907, 13026, 811, 2230, 593, 519, 1592, 982, 454, 285, 594, 1058, 563, 11417, 285, 4258, 619, 2676, 285, 26450, 454, 11417, 11417, 285, 26450, 25511, 614, 454, 11417, 285, 834, 10574, 568, 711, 1344, 269, 6176, 568, 711, 1702, 269, 1656, 1702, 454, 285, 568, 6157, 711, 7326, 4799, 285, 4534, 1849, 858, 867, 853, 3326, 454, 11417, 11417, 285, 2201, 570, 826, 267, 9484, 476, 2420, 267, 476, 1001, 276, 693, 476, 272, 281, 3374, 6751, 267, 4460, 2274, 2644, 2999, 5658, 548, 2644, 273, 693, 575, 21166, 2593, 285, 5206, 912, 285, 3436, 2334, 781, 3020, 855, 952, 646, 3096, 930, 589, 2975, 610, 645, 2975, 21205, 602, 10336, 3278, 519, 454, 285, 3436, 1297, 540, 6724, 2676, 285, 3436, 1287, 646, 1522, 1294, 1945, 3116, 7790, 901, 630, 9236, 23399, 547, 711, 454, 285, 23399, 454, 285, 3436, 3738, 568, 711, 1945, 594, 4308, 609, 865, 594, 6415, 1175, 18530, 621, 856, 972, 563, 285, 28825, 285, 28825, 285, 28825, 285, 28825, 285, 3436, 2201, 570, 826, 267, 9484, 476, 2420, 267, 476, 1001, 276, 693, 476, 275, 281, 1789, 6751, 267, 26450, 25511, 614, 2999, 321, 30516, 614, 269, 27174, 278, 693, 575, 21166, 2593, 11417, 285, 5206, 912, 285, 3436, 11417, 285, 23645, 5565, 2343, 1023, 786, 2878, 531, 1811, 1262, 581, 513, 1732, 3514, 982, 835, 267, 607, 519, 8545, 454, 285, 23645, 1590, 581, 513, 15410, 540, 519, 5449, 630, 5976, 9838, 6724, 585, 1312, 454, 285, 23645, 2343, 1023, 1916, 285, 3436, 11417, 285, 23645, 4258, 619, 2676, 285, 23645, 26450, 454, 285, 3436, 11417, 285, 3436, 11417, 285, 23645, 26450, 25511, 614, 454, 285, 3436, 11417, 285, 23645, 834, 10574, 568, 711, 1344, 269, 6176, 568, 711, 1702, 269, 1656, 1702, 454, 285, 23645, 568, 6157, 711, 7326, 4799, 285, 23645, 4534, 1849, 858, 867, 853, 3326, 454, 285, 3436, 11417, 285, 3436, 11417, 285, 23645, 2201, 570, 826, 267, 9484, 476, 2420, 267, 476, 1001, 276, 693, 476, 272, 281, 2641, 6751, 267, 3627, 590, 1251, 514, 454, 285, 23645, 2999, 297, 306, 1251, 514, 693, 6067, 764, 269, 636, 776, 1633, 12975, 285, 5206, 912, 285, 23645, 3436, 594, 723, 1239, 602, 949, 581, 519, 7848, 540, 1079, 3339, 14778, 630, 821, 454, 285, 23645, 3436, 8659, 1369, 519, 824, 264, 5288, 269, 513, 2582, 3339, 563, 285, 23645, 3436, 594, 1031, 3339, 332, 1460, 4932, 547, 1205, 9193, 540, 6724, 14322, 1079, 454, 285, 2343, 1023, 912, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 3436, 23834, 7473, 26013, 4336, 263, 3534, 269, 558, 527, 16597, 314, 2437, 15598, 310, 318, 6921, 583, 19312, 4917, 285, 23645, 3436, 23834, 7473, 454, 285, 23645, 3436, 3575, 30113, 331, 815, 3339, 332, 1460, 4932, 263, 21923, 7473, 267, 330, 284, 272, 267, 16808, 11743, 284, 15045, 16604, 994, 285, 23645, 3436, 5758, 9852, 1460, 30113, 331, 994, 285, 23645, 3436, 4729, 9852, 1460, 30113, 331, 267, 6518, 284, 273, 994, 285, 23645, 3436, 3515, 5560, 3748, 16597, 314, 2437, 21923, 7473, 19312, 1070, 561, 1399, 284, 273, 267, 561, 23424, 284, 273, 994, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 3436, 5758, 540, 3339, 332, 1460, 4932, 1843, 912, 285, 23645, 3436, 735, 476, 272, 735, 476, 273, 454, 285, 23645, 3436, 25754, 476, 271, 269, 3583, 274, 276, 1704, 280, 476, 271, 269, 30640, 4366, 273, 454, 285, 23645, 3436, 18665, 910, 271, 269, 4962, 280, 15996, 273, 476, 271, 269, 9610, 276, 3393, 454, 285, 23645, 3436, 29178, 476, 272, 269, 14096, 14341, 271, 476, 271, 269, 276, 3607, 5881, 277, 454, 285, 23645, 3436, 2845, 331, 1731, 693, 7447, 281, 910, 8099, 269, 3199, 274, 278, 454, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 3436, 594, 1131, 899, 547, 1294, 952, 519, 1079, 3339, 14778, 616, 513, 1732, 3514, 454, 285, 23645, 3436, 602, 835, 3339, 269, 594, 723, 1079, 2042, 454, 285, 23645, 3436, 630, 272, 264, 3339, 332, 1460, 4932, 1281, 711, 3100, 547, 1018, 547, 3514, 513, 2582, 3339, 630, 16838, 952, 454, 285, 594, 454, 285, 23645, 3436, 2232, 519, 5470, 5048, 3812, 2187, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 23645, 3575, 30113, 331, 815, 3339, 332, 1460, 4932, 263, 21923, 7473, 267, 330, 284, 272, 994, 285, 23645, 3436, 18438, 538, 3339, 332, 1460, 269, 8181, 3287, 815, 1535, 267, 25754, 815, 25754, 267, 18665, 815, 18665, 267, 521, 815, 29178, 267, 737, 454, 285, 21591, 285, 23645, 3436, 737, 267, 10778, 285, 23645, 3436, 818, 321, 11743, 543, 818, 321, 12534, 3112, 1312, 581, 674, 3201, 10345, 454, 285, 23645, 23645, 3575, 30113, 331, 815, 3339, 332, 1460, 4932, 263, 21923, 7473, 267, 330, 284, 272, 267, 16808, 11743, 284, 15045, 16604, 994, 285, 23645, 3436, 18438, 538, 3339, 332, 1460, 269, 8181, 3287, 815, 1535, 267, 25754, 815, 25754, 267, 18665, 815, 18665, 267, 521, 815, 29178, 267, 737, 454, 285, 21591, 285, 23645, 3436, 737, 267, 10778, 285, 23645, 3436, 818, 321, 11743, 543, 818, 321, 12534, 3112, 1312, 581, 674, 3201, 10345, 454, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 3436, 630, 273, 264, 4634, 952, 594, 1185, 519, 2845, 331, 1731, 689, 513, 2582, 3339, 267, 594, 993, 711, 2386, 875, 454, 285, 23645, 3436, 1082, 667, 22661, 547, 946, 950, 7384, 519, 910, 273, 17247, 5223, 1449, 563, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 3436, 7102, 10372, 585, 9236, 519, 1079, 5991, 5436, 5288, 269, 835, 3339, 454, 285, 3892, 454, 285, 23645, 3436, 1131, 581, 15874, 563, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 3436, 8729, 454, 285, 23645, 3436, 3627, 454, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 3436, 3627, 6424, 590, 1251, 514, 631, 6185, 1421, 1912, 6185, 563, 285, 23645, 3436, 7905, 540, 6925, 454, 285, 23645, 3436, 12751, 267, 4437, 739, 520, 2524, 543, 769, 26197, 454, 285, 23645, 3436, 2160, 540, 15930, 3427, 540, 6925, 10406, 540, 15168, 26585, 543, 454, 285, 23645, 3436, 15168, 12278, 6925, 454, 285, 23645, 3436, 22768, 22622, 6481, 4741, 454, 285, 23645, 3436, 476, 1015, 3345, 5682, 324, 9335, 454, 285, 23645, 3436, 24321, 6717, 630, 6630, 270, 1240, 270, 16165, 994, 285, 23645, 3436, 22768, 267, 11022, 476, 18891, 4905, 268, 13923, 275, 454, 285, 23645, 3436, 630, 17490, 264, 476, 25148, 268, 2568, 276, 268, 278, 1556, 280, 6078, 271, 268, 2568, 276, 268, 278, 1556, 280, 454, 285, 23645, 3436, 630, 293, 1314, 264, 476, 25148, 268, 2568, 276, 268, 8064, 272, 274, 630, 8923, 1289, 6049, 1297, 1657, 1991, 547, 535, 1314, 532, 994, 285, 23645, 28825, 285, 23645, 28825, 285, 23645, 3436, 4762, 7808, 640, 15048, 912, 285, 23645, 3436, 901, 4757, 5048, 267, 1519, 1022, 27589, 267, 568, 585, 454, 285, 3267, 13997, 323, 549, 5529, 281, 1321, 3686, 454, 285, 3436, 11417, 285, 23645, 12843, 6303, 3071, 30668, 454, 285, 23645, 681, 25298, 693, 678, 3491, 915, 3820, 544, 9430, 1592, 4534, 1677, 6167, 24746, 7034, 31304, 23813, 543, 811, 267, 1294, 454, 285, 23645, 4179, 2517, 560, 520, 269, 996, 345, 26716, 8276, 841, 2006, 270, 4289, 16769, 29265, 25298, 454, 285, 23645, 5291, 2517, 4178, 10611, 3491, 915, 3820, 9706, 24031, 28621, 728, 11258, 454, 285, 23645, 543, 1683, 29499, 267, 8766, 267, 1582, 8410, 22633, 267, 10063, 24862, 3009, 563, 285, 28825, 285, 28825, 11417, 285, 11910, 454, 285, 27189, 590, 5960, 454, 285, 11910, 689, 5985, 0, 9223, 692, 258, 1411, 1544, 547, 6718, 513, 3959, 799, 814, 606, 4397, 12971, 296, 540, 8096, 1220, 267, 1822, 269, 1411, 1544, 547, 13718, 2791, 1544, 547, 6718, 513, 3959, 799, 814, 606, 4397, 12971, 296, 540, 8096, 1220, 267, 1822, 269, 1411, 1544, 547, 10210, 8096, 272, 267, 4335, 267, 1822, 693, 513, 476, 276, 260, 5993, 2557, 585, 476, 1789, 1296, 269, 1548, 568, 519, 9823, 305, 585, 713, 5092, 2496, 2252, 519, 3959, 538, 1948, 280, 568, 1373, 12349, 693, 606, 476, 279, 260, 1698, 2557, 267, 14322, 519, 1482, 10211, 1344, 1018, 568, 519, 700, 29552, 585, 713, 6718, 2496, 19651, 960, 692, 291, 10135, 815, 12971, 296, 1315, 10753, 534, 11033, 692, 299, 15351, 8569, 13054, 1312, 267, 25867, 607, 1134, 607, 1719, 692, 299, 15351, 2179, 815, 476, 272, 267, 4335, 267, 1822, 267, 15580, 815, 476, 276, 9077, 11270, 815, 476, 1789, 1296, 780, 303, 6974, 1871, 3815, 607, 829, 3045, 8462, 3349, 585, 476, 276, 9077, 476, 1789, 1296, 815, 476, 1428, 269, 4391, 273, 276, 630, 2026, 829, 3045, 8462, 3349, 2020, 11997, 5993, 8569, 585, 519, 10211, 1131, 581, 815, 476, 272, 267, 4335, 267, 1822, 1315, 476, 1428, 269, 4391, 273, 276, 815, 476, 9032, 267, 6872, 277, 630, 32459, 7625, 1341, 9314, 2020, 13295, 267, 9823, 305, 815, 476, 1220, 267, 1822, 270, 9032, 267, 6872, 277, 815, 476, 273, 269, 4962, 692, 22479, 2557, 815, 12971, 296, 1315, 28446, 826 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3046, 13715, 693, 519, 6428, 345, 14954, 601, 5834, 3786, 11516, 3481, 676, 476, 10019, 628, 32691, 10406, 7376, 14787, 5395, 613, 656, 19124, 28331, 2006, 16172, 1310, 519, 6498, 5391, 23306, 519, 3786, 454, 1432, 1705, 649, 267, 3786, 14586, 267, 13498, 540, 519, 4090, 286, 634, 9399, 10393, 2451, 269, 1284, 616, 19526, 3330, 519, 3046, 13715, 269, 1323, 20987, 10580, 2367, 5217, 569, 267, 2673, 547, 519, 8122, 282, 7366, 540, 2021, 524, 709, 577, 593, 3046, 1066, 19683, 543, 14719, 622, 1955, 2381, 550, 12280, 267, 945, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 7073, 1315, 476, 1704, 628, 11416, 1315, 623, 16820, 538, 519, 12144, 630, 14321, 271, 338, 268, 15094, 271, 338, 1040, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 621, 563, 2026, 335, 10280, 17367, 9672, 519, 1867, 540, 519, 6967, 9649, 554, 690, 15634, 538, 661, 1076, 344, 28927, 3298, 543, 1767, 789, 786, 3346, 519, 2244, 26782, 609, 5796, 593, 875, 547, 2697, 267, 1852, 543, 26565, 540, 713, 1875, 28921, 12362, 2030, 563, 30025, 3652, 23616, 3634, 602, 1100, 835, 568, 4847, 547, 2030, 610, 1332, 1875, 28921, 610, 12362, 711, 28921, 2371, 538, 519, 3552, 971, 607, 9649, 554, 690, 15634, 267, 855, 2244, 14935, 723, 1100, 17185, 538, 1876, 547, 4894, 891, 2371, 610, 1852, 873, 593, 741, 2244, 563, 5575, 5351, 30157, 22387, 3689, 22707, 9783, 513, 9963, 4505, 713, 4832, 593, 9365, 281, 968, 3086, 568, 519, 4005, 585, 2048, 19322, 664, 779, 1034, 5906, 2030, 17483, 17606, 568, 5176, 2141, 1336, 2282, 8933, 543, 23668, 267, 2495, 5667, 639, 1051, 532, 2818, 540, 519, 1857, 949, 2097, 883, 3346, 609, 621, 563, 17606, 3123, 3520, 16781, 748, 1025, 3563, 532, 17236, 1175, 689, 9543, 3346, 269, 634, 17236, 666, 2063, 585, 1896, 3275, 543, 519, 2960, 3788, 6213, 547, 11158, 1769, 585, 1082, 1296, 269, 1403, 2282, 519, 4064, 621, 666, 2014, 21901, 563, 2108, 5472, 3237, 267, 5225, 24633, 707, 1453, 711, 547, 5905, 519, 2030, 607, 519, 3762, 267, 11710, 267, 5072, 267, 5810, 543, 5452, 782, 2270, 713, 15265, 20715, 25560, 563, 2108, 12179, 2694, 540, 519, 1560, 602, 2097, 883, 3346, 609, 519, 18682, 540, 513, 9649, 554, 690, 15634, 1058, 581, 5612, 18233, 609, 12853, 543, 4411, 1216, 543, 3343, 2564, 5796, 269, 4329, 4598, 547, 7943, 1058, 581, 14284, 585, 693, 2547, 476, 4366, 3108, 3034, 294, 5050, 670, 690, 15634, 568, 851, 540, 519, 7442, 807, 576, 2801, 1920, 267, 799, 2882, 1134, 1634, 5388, 543, 11922, 899, 16163, 2917, 267, 31577, 267, 16163, 30876, 543, 1351, 328, 6387, 563, 2791, 666, 2995, 519, 3017, 1063, 9649, 554, 690, 15634, 543, 2834, 554, 690, 15634, 610, 10800, 16163, 2917, 676, 519, 4234, 1562, 685, 811, 17031, 3762, 563, 290, 578, 16163, 2917, 666, 1152, 1332, 827, 476, 274, 268, 275, 3952, 543, 814, 4130, 1166, 648, 1206, 543, 6626, 3762, 563, 2252, 596, 2097, 883, 3346, 609, 519, 2030, 267, 596, 1058, 11547, 519, 1858, 609, 7646, 12853, 543, 3579, 1216, 607, 3533, 607, 2009, 267, 2687, 547, 2657, 1467, 563, 2791, 1058, 1832, 519, 2960, 4988, 950, 596, 2461, 3544, 547, 2149, 621, 689, 519, 7943, 563, 2252, 513, 16420, 610, 1025, 3563, 5956, 547, 1106, 267, 596, 1058, 3343, 2564, 3007, 269, 0, 279, 269, 634, 9677, 1014, 1299, 16972, 6502, 454, 4263, 519, 2490, 540, 519, 476, 866, 628, 11416, 267, 972, 729, 1869, 476, 4391, 1296, 1354, 519, 1376, 540, 519, 16972, 2085, 269, 5565, 3751, 31869, 2471, 556, 11220, 1287, 513, 1762, 5261, 10001, 12199, 585, 1175, 4557, 1296, 543, 1287, 3357, 10348, 15117, 269, 1548, 9674, 519, 9677, 1014, 543, 16972, 729, 519, 20552, 540, 8474, 538, 5261, 10001, 779, 12081, 543, 713, 1185, 513, 1812, 532, 1198, 1063, 606, 10504, 4096, 656, 593, 7142, 11668, 543, 606, 10504, 11589, 922, 796, 10561, 27166, 538, 519, 9443, 267, 4070, 543, 2029, 563, 763, 1007, 2540, 729, 711, 6825, 569, 1114, 689, 519, 3105, 835, 693, 519, 1376, 269, 634, 26988, 8323, 585, 519, 991, 344, 729, 13950, 676, 2199, 1612, 8460, 998, 519, 14074, 540, 519, 18648, 4521, 269, 18489, 3175, 5293, 538, 476, 15094, 273, 13886, 1612, 8460, 547, 1683, 4057, 8323, 538, 16887, 3710, 960, 17346, 267, 540, 799, 476, 273, 267, 1822, 11478, 609, 476, 3445, 538, 5507, 4805, 269, 3509, 941, 32036, 4765, 543, 31417, 569, 267, 519, 2669, 2557, 585, 960, 5264, 1453, 538, 5507, 729, 936, 476, 3445, 10065, 8409, 602, 1705, 711, 4283, 519, 960, 5264, 941, 2451, 547, 1917, 593, 519, 10754, 563, 763, 1292, 3017, 1063, 513, 960, 5264, 543, 606, 620, 916, 5264, 568, 602, 960, 17346, 630, 10193, 4057, 5264, 610, 4057, 325, 1301, 264, 941, 585, 519, 4057, 543, 1453, 945, 12236, 741, 1832, 676, 3257, 6009, 6466, 620, 916, 17346, 941, 26988, 22402, 6035, 547, 11361, 1004, 602, 941, 1100, 3476, 2111, 547, 4383, 563, 1103, 5246, 3118, 972, 941, 1896, 540, 891, 5656, 269, 2311, 519, 1439, 540, 853, 3627, 779, 10158, 972, 729, 513, 960, 5264, 269, 3807, 3297, 621, 538, 4258, 591, 2023, 10003, 729, 606, 1325, 916, 5264, 543, 849, 693, 519, 1376, 540, 5246, 3118, 10003, 1141, 519, 17167, 10766, 1031, 547, 581, 729, 3710, 606, 1325, 916, 5264, 585, 2021, 936, 15823, 1296, 2025, 676, 11184, 9400, 1733, 9231, 2023, 563, 763, 1376, 540, 5246, 3118, 10003, 6029, 519, 3312, 5246, 3118, 570, 11232, 333, 543, 519, 2490, 335, 833, 269, 19992, 519, 17167, 568, 519, 1733, 9231, 2023, 1325, 916, 5264, 1107, 3710, 676, 519, 30330, 619, 7577, 538, 476, 9264, 273, 538, 519, 20096, 4860, 2526, 2511, 563, 1103, 519, 4099, 666, 581, 2938, 519, 1772, 28002, 4518, 5264, 593, 853, 3627, 779, 10158, 282, 519, 29152, 720, 593, 18171, 749, 6807, 10830, 543, 519, 1394, 540, 519, 1733, 9231, 2023, 5441, 630, 1492, 1325, 916, 5264, 540, 5246, 3118, 10003, 1040, 6733, 693, 19186, 1415, 543, 21238, 9897, 538, 853, 3627, 779, 10158, 1107, 634, 590, 1532, 754, 4867, 538, 853, 3627, 779, 10003, 568, 972, 547, 1205, 1472, 606, 3390, 609, 2244, 9562, 267, 799, 729, 17251, 543, 519, 4155, 8678, 909, 267, 855, 519, 590, 1532, 754, 7283, 563, 288, 8666, 3144, 689, 513, 21934, 1245, 593, 519, 3135, 1985, 547, 519, 1733, 9231, 2023, 1325, 916, 5264, 267, 1141, 519, 1699, 8027, 10040, 6763, 543, 1507, 1404, 1858, 1634, 607, 5246, 3118, 5244, 524, 269, 476, 3192, 271, 338, 269, 0, 6097, 547, 4966, 267, 519, 4999, 609, 9893, 786, 948, 5680, 476, 274, 269, 271, 1831, 519, 2104, 5748, 540, 519, 5769, 563, 26589, 609, 519, 13849, 2091, 267, 5680, 476, 274, 269, 271, 568, 4397, 547, 1831, 519, 2104, 540, 2029, 269, 634, 3804, 540, 519, 1007, 3760, 568, 547, 2232, 7687, 689, 5680, 476, 273, 269, 271, 269, 1717, 267, 5103, 1373, 2919, 585, 1082, 1296, 267, 5680, 476, 274, 269, 271, 814, 711, 2731, 3144, 3337, 563, 24916, 267, 930, 4966, 3494, 602, 5680, 476, 274, 269, 271, 568, 1175, 513, 6537, 4214, 540, 21888, 9520, 267, 15877, 538, 4052, 3498, 563, 1432, 568, 5680, 476, 274, 269, 271, 888, 22873, 6053, 267, 5680, 476, 274, 269, 271, 729, 1572, 12054, 4842, 5680, 676, 6004, 269, 7033, 7137, 1676, 6441, 2465, 267, 519, 23266, 540, 519, 2622, 22453, 5680, 269, 634, 1062, 729, 2813, 609, 519, 2832, 540, 4742, 513, 811, 14628, 267, 10995, 543, 1930, 5769, 269, 2201, 519, 12054, 4842, 5680, 267, 6191, 786, 1184, 1543, 899, 3425, 563, 6097, 547, 1280, 15816, 2073, 519, 12054, 4842, 5680, 7948, 1405, 1831, 513, 4641, 585, 513, 3099, 540, 4128, 269, 769, 1880, 267, 519, 1292, 2601, 2501, 689, 519, 7411, 540, 3642, 2029, 547, 581, 4294, 269, 26682, 3112, 10646, 1063, 808, 1173, 340, 541, 630, 329, 16331, 541, 264, 543, 808, 1173, 340, 541, 630, 8364, 20536, 264, 952, 519, 2796, 568, 711, 1305, 7157, 563, 10112, 1539, 908, 2035, 609, 519, 2796, 540, 1913, 568, 1932, 2352, 269, 22126, 6170, 513, 2603, 540, 942, 543, 2724, 547, 2087, 519, 2029, 540, 519, 2706, 26367, 23846, 267, 855, 547, 1100, 1992, 563, 6097, 547, 3213, 514, 15812, 564, 22479, 2073, 519, 5680, 476, 274, 269, 271, 4214, 666, 581, 6905, 547, 513, 1062, 1141, 1239, 568, 10562, 538, 513, 18228, 1259, 267, 1100, 3476, 3808, 676, 1804, 5867, 563, 763, 1646, 540, 9893, 2029, 543, 4859, 24432, 5932, 513, 811, 12001, 543, 5150, 1604, 269, 24486, 593, 513, 18228, 3760, 786, 5372, 1082, 10509, 23766, 899, 5616, 610, 9365, 563, 5825, 619, 991, 5680, 476, 274, 269, 271, 454, 7628, 519, 476, 1960, 271, 338, 267, 5680, 476, 272, 269, 271, 610, 853, 1738, 5680, 729, 519, 1101, 5769, 268, 8588, 3760, 269, 2311, 713, 3942, 267, 519, 5354, 540, 3755, 946, 519, 1357, 547, 8532, 1543, 2864, 982, 1711, 621, 563, 16158, 476, 272, 269, 271, 1281, 711, 723, 6620, 585, 2985, 19003, 269, 901, 2306, 621, 2352, 585, 3755, 547, 1265, 1344, 269, 968, 1103, 824, 1913, 267, 621, 781, 899, 513, 835, 17574, 19814, 609, 7522, 28961, 269, 1703, 267, 519, 5137, 540, 1543, 568, 2944, 676, 513, 1906, 1004, 2223, 5856, 654, 518, 1676, 21502, 320, 752, 3838, 593, 3213, 514, 15812, 564, 22479, 563, 5804, 476, 1220, 276, 547, 1631, 267, 519, 5769, 814, 2919, 6385, 609, 5680, 476, 273, 269, 271, 269, 634, 3760, 16881, 3755, 547, 7119, 538, 519, 5137, 540, 1543, 593, 1514, 5121, 267, 21075, 269, 5680, 476, 273, 269, 271, 781, 1870, 2203, 12346, 593, 3593, 1344, 547, 6133, 10229, 1239, 547, 476, 274, 6113, 6105, 563, 6097, 547, 1280, 15816, 2073, 713, 568, 1018, 2306, 519, 5769, 513, 5458, 1239, 23999, 267, 13856, 676, 21438, 5867, 971, 607, 5616, 267, 9365, 267, 543, 8835, 563, 24685, 1250, 6644, 267, 3844, 1944, 267, 5599, 543, 1210, 1239, 1510, 3593, 9844, 568, 519, 9759, 540, 519, 1870, 2203, 593, 5680, 476, 273, 269, 271, 2223, 1767, 8176, 18234, 267, 5518, 543, 16628, 269, 1767, 676, 18983, 2153, 269, 1470, 563, 19602, 267, 6004, 269, 4223, 16959, 327, 2720, 4135, 267, 17976, 337, 693, 1715, 3840, 2160, 14659, 602, 513, 1507, 1895, 540, 3549, 616, 8066, 519, 5769, 269, 2311, 519, 1482, 942, 267, 5171, 945, 3565, 547, 519, 3760, 616, 711, 6444, 563, 2252, 519, 3853, 540, 5680, 476, 274, 269, 271, 2097, 3020, 267, 3755, 786, 723, 513, 811, 12581, 946, 540, 519, 5769, 267, 1142, 1367, 3587, 513, 1318, 547, 1010, 1378, 1239, 563, 14071, 321, 476, 274, 269, 271, 781, 18228, 9893, 7014, 786, 1450, 2043, 547, 1921, 547, 606, 5769, 1141, 789, 1378, 543, 2628, 10257, 12375, 585, 942, 543, 1239, 269, 634, 1007, 3760, 786, 1118, 28106, 7270, 267, 5458, 21438, 4859, 6336, 1390, 12434, 267, 834, 338, 4660, 6004, 269, 18234, 563, 301, 11266, 11099, 602, 519, 3804, 540, 5680, 476, 274, 269, 271, 568, 547, 1711, 1007, 3406, 9817, 543, 1514, 5121, 1510, 513, 3984, 2754, 269, 2201, 713, 3760, 267, 1142, 3593, 568, 2016, 21797, 547, 7119, 269, 1452, 21797, 666, 581, 1031, 547, 8917, 593, 3664, 543, 18645, 1483, 1871, 563, 16158, 476, 274, 269, 271, 568, 896, 1646, 454, 763, 3069, 540, 513, 13618, 1062, 1141, 782, 3755, 723, 9263, 2924, 568, 1373, 4294, 998, 1546, 25218, 1242, 32534, 20871, 630, 6395, 11675, 1040, 21298, 267, 513, 1895, 540, 15170, 15156, 13986, 547, 25488, 513, 5299, 540, 519, 2475, 9139, 998, 519, 3117, 3191, 6395, 302, 2508, 269, 1717, 267, 519, 1895, 8959, 1317, 789, 1705, 711, 6318, 2614, 2724, 563, 6624, 1804, 3549, 616, 849, 10283, 538, 519, 1646, 540, 5680, 476, 274, 269, 271, 563, 23562, 7867, 781, 18947, 5741, 15440, 267, 6480, 615, 595, 3863, 5112, 267, 3081, 519, 1514, 3060, 568, 2324, 593, 2081, 547, 3142, 5680, 476, 274, 269, 271, 2035, 547, 519, 3760, 269, 968, 6524, 267, 5680, 476, 274, 269, 271, 729, 1175, 513, 3069, 269, 9406, 1631, 267, 621, 781, 519, 6117, 3196, 3297, 2679, 519, 1062, 2437, 15516, 595, 3863, 5112, 1767, 563, 300, 9508, 267, 19497, 9365, 267, 3081, 922, 10862, 568, 547, 1628, 519, 13849, 2091, 269, 16200, 954, 6016, 1464, 267, 1210, 835, 2272, 585, 2789, 4609, 267, 2533, 16900, 568, 835, 540, 519, 3741, 13890, 676, 26426, 269, 898, 781, 849, 851, 540, 519, 5680, 476, 274, 269, 271, 4214, 563, 14881, 1589, 1082, 540, 519, 2934, 689, 5680, 476, 274, 269, 271, 616, 2966, 585, 2170, 2032, 269, 2334, 786, 948, 2569, 10616, 1063, 3156, 267, 3246, 3755, 609, 513, 811, 15774, 1995, 267, 834, 338, 4660, 4460, 2098, 27462, 6199, 267, 16628, 540, 26426, 538, 606, 5967, 563, 6624, 22027, 827, 5680, 476, 274, 269, 271, 454, 14071, 321, 476, 274, 269, 271, 607, 18453, 269, 898, 568, 513, 1587, 602, 568, 1152, 2139, 593, 1957, 855, 1281, 711, 2408, 538, 4641, 269, 5680, 476, 274, 269, 271, 568, 513, 2104, 2966, 547, 2232, 1018, 3755, 1810, 1405, 899, 827, 519, 1699, 5769, 2437, 1767, 6276, 717, 3234, 17745, 10458, 267, 7905, 540, 5303, 693, 12397, 601, 2160, 563, 294, 3234 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1205, 513, 2039, 540, 8369, 13576, 15029, 849, 3246, 513, 2922, 2230, 585, 782, 547, 581, 4862, 269, 1677, 9153, 713, 3106, 267, 519, 2680, 568, 11658, 547, 1053, 543, 952, 596, 9364, 899, 547, 1205, 3238, 267, 596, 666, 1451, 811, 1934, 563, 2691, 281, 13628, 476, 1556, 628, 5988, 267, 476, 276, 281, 1789, 10975, 563, 5591, 767, 626, 21142, 4591, 1782, 327, 32231, 2899, 10294, 602, 2048, 1492, 14447, 3209, 814, 1185, 621, 781, 1554, 9957, 4750, 626, 543, 8191, 267, 10557, 8738, 8725, 568, 1394, 538, 476, 1708, 272, 547, 2671, 875, 713, 7948, 1405, 581, 2417, 689, 519, 5168, 269, 3171, 520, 1005, 538, 606, 11806, 266, 1686, 3923, 2027, 267, 6004, 8738, 8725, 786, 1865, 875, 267, 15029, 519, 2797, 2796, 949, 723, 4957, 267, 519, 991, 547, 2995, 11806, 266, 2984, 568, 1869, 607, 2178, 607, 2479, 563, 2304, 29362, 17976, 711, 547, 581, 14406, 267, 519, 4901, 786, 849, 581, 4553, 676, 513, 2661, 1627, 26031, 1141, 596, 666, 1205, 782, 540, 707, 8781, 2055, 12943, 269, 1411, 666, 10505, 513, 2243, 538, 4434, 676, 11488, 606, 4757, 547, 18078, 17106, 11333, 3820, 610, 1256, 1282, 519, 2680, 1210, 13334, 14970, 13378, 610, 3842, 12108, 7711, 11900, 2074, 10998, 299, 563, 299, 294, 6630, 304, 266, 13067, 6804, 1145, 13185, 609, 519, 15751, 17394, 11565, 454, 2691, 281, 13628, 476, 1556, 628, 5988, 267, 476, 277, 10975, 563, 2414, 1665, 1312, 9906, 21816, 324, 1359, 10432, 543, 11806, 266, 3778, 13600, 267, 2199, 17493, 267, 519, 15751, 17394, 11565, 616, 11836, 938, 4841, 262, 5742, 547, 2285, 606, 1271, 543, 12600, 2911, 4478, 26683, 538, 519, 11806, 266, 2146, 269, 3245, 10962, 543, 7713, 519, 3483, 540, 741, 17493, 543, 4687, 17170, 24749, 3255, 547, 3695, 11806, 266, 1686, 538, 3178, 267, 19820, 538, 547, 5873, 2984, 689, 519, 4395, 1899, 540, 519, 17493, 543, 1205, 707, 2055, 12943, 563, 298, 8696, 547, 2097, 2059, 286, 6258, 811, 827, 713, 1271, 4901, 1934, 563, 8530, 17976, 281, 15776, 321, 2103, 538, 3778, 609, 519, 11806, 266, 5980, 543, 3778, 5980, 454, 2691, 281, 13628, 476, 1556, 628, 5988, 267, 476, 277, 10975, 563, 1607, 5988, 267, 649, 10950, 519, 1101, 2479, 5698, 1063, 1715, 31069, 2160, 781, 11806, 266, 2486, 543, 3778, 2486, 256, 570, 2317, 538, 593, 519, 476, 1556, 628, 547, 2263, 519, 1686, 540, 24139, 1143, 609, 1715, 31069, 2160, 779, 1360, 1378, 3220, 23718, 570, 529, 323, 718, 689, 938, 3427, 540, 3778, 267, 4147, 923, 543, 26337, 269, 1323, 4277, 2680, 711, 547, 581, 14406, 267, 596, 666, 1265, 2417, 1344, 1934, 563, 7468, 728, 18738, 19937, 281, 18270, 908, 11806, 266, 23821, 1161, 12815, 267, 10558, 543, 8892, 454, 2691, 281, 13723, 476, 1704, 628, 5988, 267, 476, 277, 10975, 563, 2026, 835, 540, 1412, 7468, 728, 18738, 781, 262, 17514, 1222, 2621, 267, 713, 2680, 13922, 547, 5490, 883, 513, 2647, 3099, 540, 1271, 11806, 266, 3584, 609, 513, 8470, 540, 12600, 14538, 269, 3245, 11806, 266, 1686, 267, 1699, 17933, 543, 875, 649, 666, 8661, 543, 1489, 1346, 538, 519, 11806, 266, 1920, 547, 1018, 519, 2104, 949, 1413, 899, 585, 519, 2146, 267, 2097, 2059, 547, 6432, 267, 1451, 543, 1865, 538, 513, 2922, 2230, 563, 8624, 712, 995, 13028, 625, 609, 634, 20570, 7467, 454, 17556, 6137, 883, 513, 25989, 573, 24005, 540, 7990, 713, 3923, 568, 2199, 17576, 634, 20570, 7467, 543, 741, 1590, 268, 5408, 5691, 14266, 267, 1234, 268, 3412, 698, 1456, 29233, 269, 8058, 322, 2084, 3670, 3059, 862, 3827, 689, 14977, 928, 1299, 23203, 11806, 266, 5159, 267, 519, 4015, 6663, 547, 1865, 543, 2263, 1018, 1412, 7468, 728, 262, 5963, 6763, 585, 547, 782, 540, 721, 269, 14977, 928, 1299, 23203, 19964, 1299, 631, 13952, 543, 30985, 8551, 20827, 3670, 5159, 267, 7325, 773, 11831, 1343, 267, 9400, 2349, 1170, 267, 23718, 18844, 267, 667, 663, 903, 665, 30679, 630, 297, 294, 570, 753, 2917, 1070, 20710, 1326, 16803, 543, 932, 656, 531, 29464, 267, 547, 4431, 547, 891, 2591, 543, 1711, 3059, 1568, 602, 1445, 593, 4798, 540, 1582, 22325, 543, 3961, 563, 8269, 22162, 1142, 7376, 781, 1378, 5784, 267, 2123, 5813, 543, 2833, 689, 1369, 519, 22774, 2146, 267, 519, 14266, 568, 513, 29267, 1170, 762, 4015, 540, 26274, 267, 1686, 543, 19969, 543, 666, 581, 15600, 2228, 1934, 563, 7468, 728, 18738, 14044, 6583, 13658, 609, 519, 11806, 266, 5980, 454, 2691, 281, 13723, 476, 2190, 628, 5988, 267, 476, 277, 10975, 563, 17359, 540, 1187, 543, 585, 513, 1434, 2014, 267, 519, 11806, 266, 2486, 781, 2034, 5691, 7688, 540, 519, 1032, 786, 581, 9870, 2724, 585, 519, 15751, 17394, 11565, 543, 741, 5692, 547, 1489, 1762, 11806, 266, 1004, 945, 616, 15602, 610, 2713, 538, 513, 20935, 1604, 269, 6787, 596, 4312, 3893, 513, 8013, 1792, 752, 610, 711, 267, 19820, 538, 547, 960, 707, 1259, 998, 519, 2757, 1435, 7688, 21448, 609, 930, 9735, 26065, 909, 585, 1178, 2125, 585, 519, 18822, 23602, 563, 306, 1539, 1214, 4759, 610, 711, 267, 713, 2680, 568, 1930, 547, 782, 1053, 543, 17914, 666, 581, 11751, 3842, 519, 715, 4785, 308, 2985, 609, 782, 18659, 2469, 547, 713, 8748, 17493, 563, 290, 1961, 12076, 13772, 9549, 609, 12339, 306, 665, 543, 519, 11806, 266, 5980, 454, 2691, 281, 13628, 476, 1839, 628, 5988, 267, 476, 278, 10975, 563, 298, 1157, 1394, 267, 6001, 543, 6432, 609, 519, 12339, 21442, 2486, 630, 293, 655, 306, 665, 264, 543, 11806, 266, 2486, 538, 741, 5767, 4585, 5428, 10023, 519, 27367, 12416, 4670, 267, 2051, 30592, 269, 589, 4143, 1650, 585, 11806, 266, 3778, 13600, 267, 519, 4670, 5205, 2051, 30592, 689, 1200, 7365, 547, 519, 2504, 540, 1200, 1433, 267, 1412, 290, 5055, 644, 710, 693, 3427, 262, 15029, 3746, 2358, 1200, 14920, 543, 1875, 13652, 6463, 4008, 4082, 269, 18786, 609, 513, 2110, 4367, 547, 519, 4670, 267, 519, 2680, 786, 1439, 609, 606, 1930, 4901, 543, 7143, 3699, 28752, 547, 2992, 593, 2051, 30592, 781, 1650, 543, 1200, 4008, 3460, 563, 295, 739, 539, 593, 24680, 267, 519, 2680, 568, 1930, 547, 782, 1053, 543, 811, 1344, 666, 581, 1336, 1934, 563, 7468, 728, 700, 18088, 13560, 10432, 754, 630, 29919, 9906, 29233, 994, 2691, 281, 476, 2767, 628, 268, 2764, 628, 5988, 267, 1585, 563, 19226, 5109, 11806, 266, 3778, 13600, 609, 513, 29907, 267, 1412, 7468, 728, 700, 18088, 13560, 262, 568, 606, 29267, 1170, 762, 15964, 17489, 2680, 538, 5698, 609, 9945, 1472, 519, 3148, 267, 1519, 3345, 3518, 6319, 543, 1855, 612, 728, 29550, 269, 23850, 607, 513, 3345, 7232, 770, 2875, 11348, 3063, 341, 12298, 5633, 267, 972, 786, 581, 513, 2039, 540, 3078, 2621, 1298, 1042, 1472, 11806, 266, 1148, 267, 2875, 1525, 1161, 543, 17933, 269, 3171, 520, 1005, 606, 1148, 4023, 267, 8749, 1397, 543, 1256, 606, 1930, 8020, 3781, 267, 1039, 513, 3787, 540, 8141, 548, 547, 707, 5988, 543, 1205, 3238, 538, 519, 5691, 16873, 2336, 2252, 596, 9364, 899, 547, 4183, 538, 519, 2504, 540, 519, 15964, 3294, 267, 519, 2486, 568, 849, 3168, 585, 16805, 1053, 547, 13686, 741, 26274, 543, 5924, 7574, 15421, 538, 513, 6976, 960, 4316, 269, 21278, 27061, 540, 1063, 476, 1015, 268, 1428, 3764, 936, 519, 15964, 267, 1053, 666, 11578, 741, 1719, 676, 32296, 519, 2486, 3842, 741, 9365, 2985, 610, 17749, 9043, 563, 2005, 781, 2469, 547, 581, 513, 11348, 899, 1100, 824, 256, 6258, 811, 827, 29233, 700, 18088, 13560, 1934, 563, 22923, 8081, 7896, 454, 18455, 513, 2875, 267, 945, 1197, 596, 616, 267, 666, 581, 1360, 4101, 693, 2053, 267, 2436, 596, 616, 4466, 621, 2182, 5329, 547, 21852, 267, 7508, 1753, 610, 10010, 609, 22343, 269, 13966, 2515, 891, 19048, 267, 649, 1174, 602, 11806, 266, 1053, 666, 5732, 3068, 3606, 2591, 269, 1403, 596, 2811, 513, 2875, 945, 16858, 547, 3343, 1489, 543, 5924, 5796, 4478, 4008, 267, 14920, 543, 3564, 267, 938, 4270, 7424, 12243, 814, 513, 2039, 540, 1489, 2533, 2139, 547, 782, 1053, 563, 12179, 2621, 602, 649, 14406, 286, 2913, 721, 917, 3842, 4757, 11333, 2593, 563, 8923, 581, 3222, 602, 519, 1657, 2621, 616, 1641, 547, 1689, 538, 1769, 540, 9687, 13044, 268, 866, 9993, 269, 3776, 5767, 5583, 267, 10311, 543, 14174, 17988, 666, 581, 1336, 1934, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 741, 8977, 539, 6068, 3283, 269, 2368, 1883, 5683, 9270, 585, 23447, 1331, 912, 18183, 7808, 640, 281, 21727, 532, 519, 7834, 543, 22637, 540, 7218, 568, 1898, 538, 23447, 1222, 269, 23839, 338, 1058, 3489, 9844, 1354, 4687, 1022, 2123, 1344, 610, 6835, 563, 1103, 11526, 3117, 550, 281, 1849, 1801, 1590, 581, 5483, 827, 519, 2470, 540, 23447, 1222, 543, 723, 513, 2312, 1620, 540, 519, 1184, 543, 1761, 4093, 1354, 2502, 538, 513, 8400, 563, 289, 895, 2456, 281, 23839, 338, 1058, 3715, 2312, 6302, 543, 7687, 547, 2327, 519, 3106, 543, 1134, 5630, 540, 1312, 2933, 543, 741, 7218, 269, 1358, 1058, 2760, 17908, 7925, 2043, 610, 4497, 538, 1022, 1106, 540, 12879, 563, 19119, 540, 4197, 519, 5678, 540, 9454, 1080, 454, 8139, 519, 1893, 540, 14326, 538, 23447, 1222, 666, 1683, 3875, 2640, 585, 1312, 519, 5420, 543, 519, 23700, 540, 519, 6835, 269, 2368, 540, 891, 2640, 1331, 912, 11749, 9179, 543, 1849, 3837, 281, 23839, 338, 1222, 666, 1683, 15418, 543, 19479, 585, 2043, 20494, 1324, 519, 2530, 540, 513, 6068, 835, 267, 5356, 4313, 543, 15260, 4269, 602, 741, 8977, 539, 6068, 3283, 616, 1869, 1459, 543, 8384, 936, 873, 563, 21980, 766, 543, 29362, 281, 11619, 1137, 689, 14326, 666, 2709, 5583, 267, 4030, 267, 543, 7326, 585, 2043, 10188, 1272, 779, 2591, 543, 5275, 9355, 593, 741, 5289, 2619, 563, 3891, 2718, 543, 26306, 281, 23839, 338, 1222, 666, 7520, 7067, 543, 7004, 676, 3246, 513, 8756, 585, 2043, 547, 1921, 609, 741, 1378, 6418, 7326, 543, 1569, 7067, 19367, 689, 519, 5289, 7706, 563, 4462, 24286, 519, 27405, 625, 540, 23839, 338, 1222, 454, 1103, 3932, 267, 519, 1893, 540, 14326, 538, 23447, 1222, 4422, 3564, 1913, 543, 12346, 593, 6698, 267, 4664, 267, 543, 20932, 547, 6655, 6835, 689, 519, 5289, 7706, 269, 4197, 713, 2189, 1106, 540, 2792, 3340, 11428, 267, 2259, 267, 543, 513, 2620, 4276, 547, 519, 6891, 1158, 269, 1635, 28798, 741, 16022, 5759, 267, 4974, 13513, 267, 543, 5275, 5955, 543, 15418, 267, 23447, 666, 1020, 741, 1983, 543, 1683, 3407, 4030, 543, 5583, 547, 1346, 5275, 3346, 609, 519, 5289, 7706, 269, 19078, 9270, 543, 5571, 2123, 2208, 616, 1898, 538, 10188, 519, 2591, 543, 9021, 540, 23447, 1222, 269, 11086, 267, 30196, 519, 13655, 540, 23447, 1222, 666, 3142, 4313, 267, 7067, 267, 543, 513, 4514, 4276, 609, 519, 5289, 7706, 585, 1312, 23447, 543, 741, 7218, 563, 2108, 7312, 631, 3008, 9898, 312, 5508, 700, 9281, 292, 5956, 519, 4090, 596, 2736, 998, 707, 30813, 540, 1582, 29931, 730, 7687, 543, 4283, 519, 6418, 10600, 1141, 5137, 5956, 1848, 7804, 269, 22189, 26436, 454, 8649, 5074, 20154, 640, 15789, 1411, 18771, 8347, 256, 1306, 1411, 3619, 13966, 2060, 2659, 20154, 17714, 269, 8437, 593, 519, 2592, 585, 811, 1344, 563, 11514, 26918, 281, 1452, 3568, 24988, 6402, 269, 1403, 596, 4945, 998, 543, 1118, 513, 6718, 267, 1284, 3513, 7118, 513, 10243, 693, 1100, 3606, 1942, 547, 596, 563, 763, 15271, 6383, 998, 891, 24988, 6402, 786, 948, 1489, 543, 2226, 519, 5816, 267, 8720, 9276, 971, 607, 16475, 267, 6389, 12375, 267, 543, 1543, 5137, 269, 1284, 1152, 4363, 2472, 610, 2533, 602, 649, 22992, 3494, 538, 543, 723, 13948, 1031, 563, 7312, 1489, 998, 891, 24988, 6402, 568, 7494, 15874, 543, 2636, 721, 547, 3136, 3246, 3407, 1543, 543, 4509, 519, 2298, 540, 713, 3135, 269, 11289, 596, 585, 5885, 634, 21654, 17714, 2336, 763, 21654, 17714, 568, 513, 7415, 4015, 540, 12591, 30363, 676, 513, 13747, 1895, 540, 4966, 538, 519, 4610, 540, 17035, 267, 1007, 2085, 267, 543, 1965, 582, 20143, 1702, 563, 1607, 16320, 1108, 2934, 513, 3309, 10198, 540, 1134, 7721, 704, 27624, 4589, 945, 3142, 741, 7096, 4030, 543, 23674, 5380, 547, 519, 21282, 563, 10376, 23784, 19299, 513, 5763, 540, 1702, 543, 7326, 267, 1818, 873, 8128, 538, 741, 9757, 11890, 563, 29310, 267, 789, 2709, 3988, 513, 13710, 3460, 883, 519, 26441, 540, 5289, 2208, 267, 1582, 22523, 267, 543, 1965, 582, 20143, 21481, 563, 763, 21654, 17714, 568, 513, 15266, 547, 519, 7104, 6791, 540, 891, 24788, 2456, 267, 3246, 3988, 609, 513, 3638, 13795, 540, 2093, 543, 1344, 547, 22113, 741, 5289, 2619, 269, 0, 763, 7256, 19716, 543, 519, 32559, 15196, 281, 27478, 26499, 454, 1103, 3726, 18691, 568, 3638, 609, 9159, 8941, 602, 723, 1044, 5293, 1524, 998, 5481, 269, 2290, 971, 10828, 568, 602, 540, 519, 7256, 19716, 543, 519, 32559, 15196, 269, 901, 22539, 1650, 6645, 540, 513, 12703, 1762, 7911, 945, 2377, 10225, 593, 513, 3460, 609, 513, 25386, 4262, 13442, 267, 3450, 3407, 1272, 4245, 2059, 519, 1259, 269, 769, 713, 2376, 267, 649, 786, 5490, 883, 519, 17909, 540, 713, 27478, 10828, 267, 3695, 922, 8129, 267, 13513, 267, 543, 2686, 4644, 269, 15012, 721, 607, 649, 19586, 519, 9159, 1158, 540, 519, 7256, 19716, 543, 519, 32559, 15196, 563, 7072, 547, 27478, 23205, 16161, 454, 1103, 3726, 18691, 568, 7184, 12082, 538, 519, 6805, 2528, 540, 519, 27478, 1004, 267, 945, 723, 20948, 519, 11848, 4525, 585, 5215, 540, 1296, 269, 1452, 6386, 3180, 10373, 4644, 607, 789, 1780, 1524, 7326, 267, 5389, 267, 543, 2418, 689, 835, 5108, 547, 519, 1985, 269, 27478, 18691, 1419, 16621, 2609, 540, 2470, 543, 2831, 267, 10452, 519, 2673, 2078, 519, 27478, 723, 609, 741, 1604, 269, 1452, 2984, 4196, 607, 513, 1259, 547, 2491, 2067, 9259, 267, 4001, 1271, 1272, 4245, 267, 543, 8190, 2686, 6561, 563, 18698, 519, 19088, 673, 7256, 19716, 454, 4263, 519, 2295, 540, 519, 7256, 19716, 543, 519, 32559, 15196, 10828, 568, 519, 1915, 540, 519, 7256, 19716, 269, 769, 27478, 13299, 267, 519, 7256, 19716, 568, 513, 3532, 543, 1649, 5271, 565, 550, 1373, 945, 29084, 538, 519, 17909, 540, 519, 5836, 269, 2701, 568, 1419, 13269, 607, 513, 544, 1069, 4660, 6438, 13442, 609, 1279, 13576, 4552, 543, 513, 2766, 23401, 602, 540, 513, 3165, 269, 634, 7256, 19716, 19299, 519, 2702, 547, 3337, 6879, 3424, 543, 666, 5968, 609, 1312, 3425, 543, 2831, 269, 2701, 568, 1634, 585, 1200, 7326, 267, 8296, 267, 543, 1200, 1909, 607, 513, 27369, 540, 519, 4262, 563, 8139, 519, 32559, 15196, 779, 10020, 454, 763, 32559, 15196, 568, 519, 3844, 1480, 1915, 538, 519, 7256, 19716, 543, 519, 32559, 15196, 10828, 269, 6736, 1010, 21901, 267, 646, 19299, 513, 2189, 2631, 540, 8226, 543, 20932, 269, 634, 32559, 15196, 4564, 6043, 267, 6418, 4222, 267, 543, 519, 1379, 540, 519, 1480, 6891, 547, 7753, 9465, 269, 3571, 9659, 1281, 711, 5581, 1864, 855, 3079, 5713, 607, 513, 18463, 585, 1010, 9058, 3460, 269, 3414, 1010, 7237, 609, 519, 7256, 19716, 267, 519, 32559, 15196, 16137, 3407, 1272, 4245, 543, 12374, 513, 4514, 1620, 540, 5128, 543, 519, 1158, 1472, 1864, 563, 11771, 1231, 540, 519, 27478, 26499, 454, 763, 8129, 540, 519, 7256, 19716, 543, 519, 32559, 15196, 10828, 666, 581, 14360, 1394, 547, 519, 3504, 27478, 11031, 7610, 1746, 519, 11848, 4525, 269, 1452, 5711, 5389, 941, 5293, 1524, 998, 9423, 267, 4180, 519, 11091, 540, 2686, 1702, 543, 2418, 269, 634, 10828, 9356, 519, 27478, 1004, 779, 2620, 4276, 609, 519, 4262, 543, 741, 7096, 2463, 585, 519, 2067, 1158, 269, 898, 5713, 607, 513, 12576, 540, 519, 27478, 779, 16126, 593, 519, 5836, 585, 32351, 543, 6668, 267, 607, 1134, 607, 741, 25621, 585, 922, 5898, 543, 1379, 563, 15228, 2513, 1143, 538, 519, 7256, 19716, 543, 32559, 15196, 26626, 454, 763, 7256, 19716, 543, 519, 32559, 15196, 10828, 568, 556, 10968, 609, 13513, 267, 5356, 4030, 883, 1585, 3344, 540, 27478, 2528, 543, 4978, 269, 634, 7256, 19716, 9887, 4564, 519, 5318, 1145, 543, 9814, 540, 519, 5836, 267, 29544, 519, 7164, 543, 519, 991, 585, 2463, 543, 27527, 2509, 519, 2067, 1158, 269, 634, 32559, 15196, 779, 21901, 23327, 519, 2956, 540, 6418, 5075, 543, 20932, 267, 10223, 519, 10206, 602, 972, 568, 811, 982, 10742, 519, 3750, 538, 1272, 269, 634, 4262, 3460, 17298, 676, 519, 32559, 15196, 19752, 2123, 2208, 267, 1582, 22523, 267, 543, 519, 13710, 1379, 540, 2833, 563, 27832, 976, 543, 5651, 1023, 538, 519, 27478, 26499, 454, 763, 7256, 19716, 543, 519, 32559, 15196, 10828, 791, 11301, 3407, 4245, 543, 26069, 547, 1346, 945, 5873, 922, 9661, 269, 2290, 540, 519, 1883, 4245, 568, 519, 2956, 540, 8508, 3604, 543, 9301, 519, 2189, 9342, 538, 1169, 1367, 267, 7488, 540, 741, 5759, 610, 9124, 269, 634, 32559, 15196, 779, 3460, 11414, 721, 519, 1871, 540, 6043, 267, 13916, 267, 543, 519, 2702, 547, 1265, 5898, 543, 3483, 538, 6397, 4025, 269, 3958, 267, 519, 10828, 11363, 519, 991, 585, 3666, 543, 10103, 1063, 3425, 543, 2470, 267, 22348, 721, 540, 938, 5539, 547, 2149, 543, 8190, 519, 1604, 563, 24292, 19043, 540, 519, 9452, 454, 763, 7256, 19716, 543, 519, 32559, 15196, 10828, 6585, 1390, 2686, 4644, 585, 519, 27478, 1004, 269, 898, 568, 513, 19644, 851, 540, 741, 5711, 2245, 267, 8497, 741, 18577, 1702, 543, 7326, 269, 634, 1650, 5713, 607, 513, 2686, 5905, 7723, 267, 17923, 519, 2418, 543, 4978, 602, 5581, 519, 27478, 1259, 540, 1272, 269, 898, 11942, 513, 2631, 540, 3961, 543, 11348, 538, 519, 2146, 267, 14304, 519, 7554, 1063, 5481, 543, 4180, 519, 15364, 540, 27478, 2686, 6561, 563, 13436, 885, 609, 4033, 7087, 3733, 2195, 454, 4407, 1169, 6805, 2528, 814, 922, 2189, 18691, 267, 519, 7256, 19716, 543, 519, 32559, 15196, 10828, 8843, 10486, 609, 824, 6805, 14868, 689, 1472, 519, 1158, 269, 634, 14953, 540, 513, 13710, 3460, 17298, 676, 513, 3844, 1915, 666, 581, 1336, 538, 1082, 6805, 6386, 269, 634, 8561, 593, 519, 2078, 1063, 3425, 543, 2470, 568, 849, 513, 1455, 6249, 538, 6805, 18691, 267, 10223, 519, 8471, 2956, 540, 8733, 10103, 563, 15430, 3569, 27557, 585, 27478, 23205, 16161, 454, 1103, 2487, 1296, 267, 972, 814, 1044, 513, 3395, 6284, 540, 519, 2956, 540, 8497, 543, 5009, 27478, 18691, 269, 27557, 723, 1044, 1500, 547, 3561, 543, 2594, 891, 2984, 267, 4180, 741, 8244, 585, 2104, 5481, 269, 20871, 543, 2043, 616, 2324, 1927, 547, 2445, 5711, 12583, 267, 14377, 873, 883, 2854, 3029, 267, 543, 2671, 873, 998, 1585, 23447, 971, 607, 2835, 267, 8874, 267, 543, 3059, 5867, 269, 1452, 11091, 3646, 2832, 547, 16102, 519, 3638, 2686, 6561, 540, 519, 27478, 1004, 543, 6318, 4656, 827, 741, 2189, 5389, 563, 25842, 540, 519, 26499, 593, 27478, 9177, 454, 763, 7256, 19716, 543, 519, 32559, 15196, 10828, 814, 1185, 513, 7096, 1764, 593, 27478, 2528, 269, 898, 5713, 607, 513, 2707, 540, 6667, 267, 13057, 3741, 267, 543, 513, 12576, 540, 519, 25872, 540, 782, 2713, 7919, 269, 634, 10828, 7512, 519, 27478, 1004, 547, 2226, 741, 2178, 4276, 609, 2470, 267, 5807, 513, 2631, 540, 2825, 19642, 543, 4264, 2713, 269, 898, 849, 1128, 1571, 513, 2631, 540, 6043, 267, 13916, 267, 543, 2123, 2208, 267, 7907, 602, 723, 1044, 1898, 585, 519, 6668, 540, 519, 27478, 1004, 538, 519, 10792, 11848, 1604, 563, 6962, 281, 634, 7736, 1005, 22684, 540, 519, 7256, 19716, 543, 519, 32559, 15196, 454, 763, 7256, 19716, 543, 519, 32559, 15196, 10828, 18991, 20206, 12885, 519, 9759, 540, 27478, 18691, 269, 4706, 15851, 9661, 540, 10100, 267, 7326, 267, 543, 519, 13710, 1379, 540, 2833, 24889, 711, 1152, 609, 519, 27478, 1004, 855, 849, 609, 9458, 5001, 269, 1306, 649, 5490, 883, 519, 17909, 540, 713, 27478, 10828, 267, 649, 2744, 513, 4514, 1620, 540, 519, 2686, 4644, 267, 13513, 267, 543, 5837, 4245, 621, 6585, 269, 634, 11972, 9371, 540, 519, 7256, 19716, 543, 519, 32559, 15196, 5170, 547, 8300, 543, 25407, 267, 8497, 519, 3638, 2686, 6561, 540, 519, 27478, 1004, 585, 5481, 547, 2097, 563, 2108, 7312, 631, 3008, 9898, 312, 5508, 700, 9281, 292, 5956, 519, 4090, 596, 2736, 998, 707, 30813, 540, 1582, 29931, 730, 7687, 543, 4283, 519, 6418, 10600, 1141, 5137, 5956, 1848, 7804, 269, 22189, 26436, 454, 8649, 5074, 20154, 640, 15789, 1411, 18771, 8347, 256, 1306, 1411, 3619, 13966, 2060, 2659, 20154, 17714, 269, 8437, 593, 519, 2592, 585, 811, 1344, 563, 11514, 26918, 281, 1452, 3568, 24988, 6402, 269, 1403, 596, 4945, 998, 543, 1118, 513, 6718, 267, 1284, 3513, 7118, 513, 10243, 693, 1100, 3606, 1942, 547, 596, 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 ]
[ 1964, 563, 3719, 519, 6937, 540, 694, 20896, 1705, 711, 2097, 547, 1780, 2094, 621, 729, 606, 9550, 1032, 543, 519, 3162, 4397, 12448, 12722, 547, 581, 11221, 269, 9282, 12722, 1185, 6462, 519, 9870, 540, 519, 13545, 858, 267, 646, 729, 1869, 689, 3162, 10491, 267, 513, 8828, 1533, 267, 607, 10353, 547, 519, 1699, 5518, 267, 3627, 2372, 514, 1097, 17566, 267, 689, 12590, 563, 3719, 1256, 609, 12722, 538, 519, 6519, 5600, 519, 3162, 1705, 711, 723, 513, 32344, 3659, 269, 634, 13545, 858, 3390, 6385, 6404, 609, 519, 1523, 540, 14275, 2305, 547, 2968, 513, 4999, 865, 23292, 602, 12722, 20909, 569, 521, 573, 652, 324, 5529, 519, 3390, 1282, 519, 9550, 543, 883, 1010, 1101, 2165, 563, 3719, 12722, 729, 513, 590, 719, 615, 1676, 543, 1498, 646, 1705, 711, 3494, 538, 513, 1533, 779, 1318, 547, 14275, 1518, 5313, 4031, 267, 646, 1705, 3494, 602, 519, 3084, 2229, 1058, 581, 11658, 689, 1102, 2590, 532, 593, 1533, 779, 2924, 269, 1261, 1500, 1010, 2990, 2312, 950, 646, 1654, 1729, 539, 513, 3915, 799, 1131, 723, 17101, 519, 2136, 2276, 547, 4444, 513, 6712, 540, 519, 6006, 540, 519, 6307, 338, 6807, 543, 22858, 15838, 12414, 335, 833, 538, 17996, 269, 1261, 20582, 1010, 1654, 1729, 676, 17548, 602, 519, 5313, 2229, 1152, 1185, 16278, 936, 6283, 1949, 3710, 609, 5313, 9489, 267, 543, 602, 2094, 1152, 835, 1533, 1131, 4324, 689, 519, 3915, 621, 729, 4440, 796, 6247, 6627, 269, 12722, 4682, 2417, 269, 1261, 1287, 13934, 519, 28288, 540, 14178, 4835, 9283, 2443, 5097, 8832, 6845, 2209, 543, 13222, 454, 1765, 547, 18985, 519, 9139, 865, 602, 519, 4214, 540, 968, 514, 4156, 9283, 892, 1131, 581, 17046, 569, 7150, 269, 4595, 972, 729, 1100, 1259, 519, 17368, 615, 2996, 1223, 1590, 518, 519, 2838, 476, 274, 270, 275, 540, 519, 2829, 547, 2097, 909, 609, 513, 1434, 4214, 267, 519, 2339, 729, 12628, 563, 307, 3290, 936, 519, 20579, 858, 540, 476, 9264, 279, 1138, 332, 1229, 585, 2185, 1296, 269, 3973, 267, 538, 476, 8146, 273, 267, 5449, 5518, 540, 519, 2136, 2276, 267, 3627, 2372, 514, 1097, 17566, 267, 945, 1185, 1044, 11221, 547, 513, 10160, 538, 519, 2136, 2276, 5600, 540, 24929, 267, 5189, 1018, 729, 547, 1831, 1634, 607, 519, 968, 3849, 4461, 9291, 1848, 26023, 267, 519, 3915, 4389, 4540, 29388, 543, 3177, 602, 782, 2104, 29388, 1131, 581, 3908, 971, 602, 782, 1104, 9204, 1927, 1705, 711, 3160, 811, 982, 519, 2229, 2877, 547, 7500, 2443, 827, 1269, 1428, 2929, 563, 1607, 519, 942, 875, 331, 540, 13889, 3357, 689, 8832, 13222, 269, 634, 1360, 1523, 540, 519, 13545, 858, 729, 547, 2149, 10867, 6080, 267, 1034, 540, 873, 538, 519, 3345, 267, 543, 12145, 29388, 5921, 602, 1007, 4213, 1131, 723, 547, 979, 2212, 3562, 268, 3650, 1996, 3864, 2472, 593, 519, 1977, 2344, 609, 1100, 4027, 689, 519, 2229, 563, 4407, 590, 719, 615, 2996, 941, 11215, 540, 519, 1523, 267, 789, 941, 840, 268, 31039, 609, 513, 1454, 811, 1713, 2680, 269, 476, 8146, 273, 1185, 1044, 606, 9550, 1032, 543, 519, 23328, 540, 3162, 10491, 1185, 1831, 14095, 609, 14275, 2305, 18793, 269, 769, 5437, 267, 513, 1895, 540, 4961, 267, 9777, 2209, 543, 9241, 3887, 21124, 1532, 583, 27677, 3917, 564, 1606, 342, 1941, 2987, 9777, 2209, 1558, 538, 513, 2527, 5870, 543, 7550, 1018, 2968, 1634, 607, 519, 3162, 10491, 1160, 17474, 799, 7150, 602, 621, 729, 968, 684, 32016, 585, 1022, 27648, 8128, 540, 519, 3557, 610, 519, 2136, 2276, 547, 17997, 519, 8569, 540, 519, 11645, 892, 540, 519, 29388, 540, 476, 9264, 279, 610, 476, 8146, 273, 799, 519, 1160, 17474, 10294, 547, 581, 796, 6247, 6627, 563, 10702, 267, 519, 1160, 17474, 4797, 267, 1100, 3162, 10491, 5480, 1223, 4341, 593, 519, 1850, 1275, 540, 519, 1160, 17474, 269, 3958, 267, 1058, 519, 2136, 2276, 3801, 547, 3196, 4015, 540, 519, 13545, 858, 267, 3162, 10491, 1131, 968, 2889, 3865, 547, 10891, 513, 5094, 2229, 1848, 769, 824, 1913, 267, 952, 519, 2136, 2276, 2229, 6836, 547, 2445, 519, 13545, 858, 267, 3162, 10491, 1131, 4734, 519, 9769, 269, 901, 729, 513, 1289, 585, 19588, 563, 28347, 12448, 12722, 949, 723, 1044, 513, 590, 719, 615, 1676, 855, 646, 729, 849, 606, 1977, 945, 9244, 5156, 538, 513, 3084, 2229, 269, 1261, 729, 711, 513, 812, 609, 7247, 835, 959, 604, 1194, 269, 8422, 2395, 1310, 1010, 5993, 5048, 267, 646, 2322, 8521, 1010, 4224, 3620, 731, 2990, 609, 2543, 547, 519, 3162, 454, 10111, 565, 2088, 1160, 17474, 269, 3767, 1877, 538, 519, 2136, 2276, 9139, 729, 972, 513, 27054, 540, 2963, 607, 547, 519, 11156, 1275, 540, 519, 1160, 17474, 269, 4475, 267, 646, 16761, 602, 3162, 10491, 2490, 689, 922, 1576, 540, 2962, 610, 519, 2136, 2276, 2229, 1131, 581, 7142, 547, 7985, 519, 968, 18905, 1998, 31169, 593, 812, 585, 519, 17766, 540, 513, 7015, 779, 1973, 3034, 11990, 595, 269, 2836, 327, 1735, 267, 945, 1185, 1044, 12448, 12722, 779, 21470, 5518, 267, 1185, 759, 11220, 1896, 3275, 4505, 547, 6445, 513, 7477, 656, 10160, 538, 519, 3162, 10491, 23328, 269, 25126, 4280, 12722, 1018, 646, 1131, 798, 827, 2836, 327, 1735, 952, 519, 3350, 4724, 19588, 4797, 269, 12722, 16957, 569, 14452, 602, 646, 968, 30524, 2119, 2836, 327, 1735, 585, 1726, 1783, 543, 267, 952, 26722, 267, 13793, 1864, 607, 1164, 607, 8621, 534, 1848, 2836, 327, 1735, 267, 945, 729, 1287, 593, 1010, 1259, 1394, 547, 6115, 667, 269, 595, 269, 547, 1491, 1010, 10160, 538, 519, 2136, 2276, 14130, 1310, 519, 7477, 3599, 1185, 1044, 4904, 267, 4080, 547, 1010, 17770, 19212, 1296, 2663, 602, 646, 1185, 1044, 4254, 5523, 782, 519, 1259, 547, 6115, 676, 1004, 945, 4941, 547, 1294, 519, 812, 602, 729, 827, 547, 581, 554, 6548, 585, 1726, 1783, 563, 297, 11055, 267, 519, 4487, 995, 22267, 267, 1185, 1178, 19290, 2451, 519, 23328, 540, 3162, 10491, 606, 454, 2108, 327, 517, 22789, 856, 1848, 634, 1007, 23328, 1223, 2743, 543, 20549, 547, 9772, 519, 3162, 10491, 1160, 17474, 1210, 607, 519, 28195, 602, 519, 2136, 2276, 8136, 729, 3677, 982, 519, 3162, 10491, 17740, 807, 543, 547, 2046, 4464, 609, 14275, 2305, 1131, 723, 5921, 2669, 585, 7366, 540, 3162, 8349, 29562, 563, 3719, 3162, 10491, 729, 3168, 585, 513, 4339, 269, 3502, 1152, 1705, 789, 20549, 547, 1394, 2476, 689, 14275, 2305, 267, 855, 519, 23328, 1558, 543, 5293, 519, 14275, 2305, 3921, 12099, 269, 3973, 519, 17135, 540, 3162, 10491, 1572, 585, 476, 273, 267, 1822, 13538, 585, 7525, 3028, 543, 1776, 476, 1015, 267, 1822, 2367, 585, 513, 1533, 9856, 563, 297, 11055, 267, 711, 513, 812, 547, 1491, 1022, 3463, 7329, 569, 267, 20083, 519, 17135, 3527, 269, 1261, 5612, 4682, 547, 6837, 543, 4280, 585, 519, 1379, 547, 3196, 3162, 10491, 547, 23491, 519, 4031, 540, 519, 2136, 2276, 2443, 607, 1134, 607, 513, 5786, 540, 519, 13545, 858, 269, 2755, 17566, 1185, 1044, 538, 3870, 540, 4227, 519, 13545, 858, 1991, 547, 519, 3162, 10491, 1160, 17474, 267, 1631, 646, 729, 31464, 547, 7903, 585, 513, 5786, 8259, 3162, 10491, 964, 13554, 689, 922, 1726, 1783, 748, 2081, 269, 17566, 267, 513, 4487, 995, 22267, 538, 1010, 1378, 1318, 267, 5693, 1705, 711, 1616, 621, 547, 2408, 602, 519, 5313, 2229, 729, 4758, 538, 547, 519, 6937, 540, 513, 18085, 1678, 2730, 1533, 23328, 563, 15703, 13545, 858, 12014, 941, 5189, 267, 9039, 540, 799, 941, 25685, 269, 1703, 729, 513, 2603, 540, 2911, 855, 4986, 5949, 2394, 8361, 22110, 543, 3627, 595, 269, 2836, 327, 1735, 267, 1312, 590, 719, 615, 2996, 267, 585, 3022, 513, 14207, 3915, 269, 634, 9086, 267, 2813, 538, 5728, 267, 1131, 2569, 519, 13545, 858, 676, 513, 1978, 6871, 829, 1032, 2394, 513, 2121, 476, 736, 2600, 5786, 1185, 1044, 6913, 269, 634, 9086, 729, 6854, 5728, 2394, 621, 729, 16204, 2426, 593, 519, 5600, 540, 24929, 1175, 607, 3025, 729, 6028, 585, 519, 3781, 269, 2372, 924, 513, 1906, 8832, 13222, 1185, 2907, 2451, 585, 519, 3781, 543, 1346, 945, 7283, 1486, 6479, 15280, 569, 543, 4280, 585, 513, 8488, 269, 634, 7662, 729, 15189, 543, 267, 1317, 519, 590, 719, 615, 2996, 538, 519, 5600, 1185, 2944, 741, 10203, 1134, 267, 519, 3915, 5293, 269, 589, 2147, 3915, 25626, 998, 519, 14130, 563, 13295, 12722, 1185, 513, 6712, 540, 1010, 7662, 269, 634, 2034, 6712, 267, 1634, 607, 519, 968, 2690, 576, 9291, 2223, 729, 519, 7616, 585, 10136, 547, 17997, 519, 1318, 540, 519, 5313, 2229, 547, 2482, 543, 2445, 9204, 2443, 4481, 538, 3162, 10491, 269, 13891, 622, 729, 678, 4545, 5387, 269, 1809, 1686, 729, 538, 519, 1818, 538, 519, 14130, 281, 3627, 595, 269, 2836, 327, 1735, 729, 3181, 908, 1776, 9649, 540, 1977, 2829, 26206, 267, 12253, 28732, 269, 6478, 5293, 3533, 998, 519, 7167, 20738, 267, 543, 6115, 667, 269, 595, 269, 585, 602, 2339, 267, 543, 519, 14130, 19922, 729, 968, 322, 992, 4765, 547, 3411, 6327, 1848, 4634, 519, 5600, 7755, 712, 2740, 865, 602, 922, 2818, 1223, 4585, 519, 7521, 563, 763, 4715, 2209, 941, 711, 25922, 269, 1280, 1010, 851, 267, 2836, 327, 1735, 779, 4661, 729, 1714, 13228, 550, 269, 1809, 28732, 729, 15999, 269, 1261, 9782, 689, 1010, 10160, 693, 2947, 538, 519, 12784, 543, 12038, 585, 1614, 3108, 563, 2691, 519, 8917, 593, 519, 10414, 9291, 3357, 547, 6989, 267, 519, 590, 719, 615, 2996, 1705, 711, 723, 2614, 16018, 547, 3247, 519, 3915, 269, 1924, 789, 2451, 519, 20830, 2864, 982, 8917, 269, 8361, 22110, 267, 31464, 547, 15093, 1010, 11173, 4126, 547, 581, 5518, 540, 519, 2136, 2276, 267, 1705, 711, 1616, 547, 13347, 8828, 17037, 676, 9363, 610, 8832, 17037, 676, 6028, 269, 1261, 2451, 267, 646, 10645, 267, 1317, 519, 14130, 1185, 968, 21112, 2011, 1848, 1306, 513, 1267, 540, 519, 3802, 719, 267, 12722, 779, 10414, 9291, 5293, 476, 3953, 547, 476, 272, 269, 634, 19157, 29926, 532, 8917, 729, 5641, 676, 3627, 14977, 2401, 267, 2663, 5518, 540, 519, 2136, 2276, 2390, 519, 2669, 540, 5261, 8361, 26858, 538, 476, 7277, 272, 563, 763, 1198, 729, 14042, 269, 634, 3463, 540, 11439, 3196, 676, 519, 5313, 2229, 2443, 2059, 609, 2695, 13741, 1782, 1369, 741, 1378, 16034, 2443, 22799, 519, 818, 323, 528, 540, 519, 3162, 10491, 14275, 2305, 15624, 269, 12722, 729, 2220, 1941, 883, 5604, 585, 1010, 2034, 2165, 1079, 2395, 1310, 28732, 779, 10322, 1782, 2773, 593, 519, 14130, 6989, 543, 621, 729, 12627, 2312, 602, 12722, 4628, 5497, 547, 1832, 1010, 2262, 543, 946, 3196, 540, 7916, 547, 17997, 5313, 1876, 269, 1306, 513, 1267, 267, 519, 14275, 2305, 3350, 30477, 3603, 269, 2201, 4728, 476, 1556, 267, 3162, 10491, 22283, 1394, 689, 14275, 2305, 543, 4735, 4705, 519, 4031, 799, 621, 1185, 5063, 5293, 5885, 519, 1523, 563, 4488, 16688, 2975, 589, 2793, 14877, 306, 3041, 5508, 5990, 968, 307, 2752, 9281, 293, 5508, 9474, 6865, 2562, 9569, 892, 6730, 715, 26097, 9281, 2975, 9569, 454, 763, 5377, 1899, 538, 1022, 2243, 540, 1870, 568, 3274, 945, 568, 9878, 585, 1018, 543, 945, 568, 3478, 811, 585, 741, 2724, 269, 634, 3597, 2014, 540, 519, 3162, 10491, 1160, 17474, 729, 519, 590, 719, 615, 2996, 5433, 789, 941, 1373, 1025, 539, 3819, 676, 8832, 4853, 626, 269, 1306, 29388, 4682, 909, 267, 519, 3162, 6976, 519, 12014, 1247, 519, 3345, 4607, 519, 2804, 4324, 269, 3973, 267, 950, 4835, 9283, 971, 607, 9897, 267, 13123, 267, 543, 2703, 802, 941, 9112, 267, 789, 941, 5097, 538, 519, 3345, 610, 5664, 2276, 563, 5804, 519, 1448, 540, 2070, 540, 519, 3345, 267, 519, 3162, 1705, 711, 991, 519, 6283, 5989, 269, 634, 3162, 1185, 8933, 602, 1223, 581, 1031, 607, 23725, 832, 547, 5512, 741, 2472, 547, 3914, 519, 694, 23147, 770, 269, 10003, 338, 538, 519, 3162, 941, 20522, 547, 1628, 1317, 519, 2244, 729, 6366, 269, 2052, 1023, 14201, 1406, 2556, 543, 513, 16749, 729, 711, 513, 2339, 540, 2804, 1272, 610, 2669, 585, 519, 6694, 3148, 269, 1452, 28836, 2798, 540, 2070, 1705, 711, 2709, 1455, 2666, 585, 14207, 269, 1306, 513, 1267, 267, 519, 3162, 5963, 5156, 602, 519, 3345, 729, 27560, 873, 9420, 609, 29388, 269, 634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6112, 513, 27045, 321, 910, 476, 272, 912, 2745, 1239, 9131, 18450, 262, 6012, 320, 6012, 271, 2639, 320, 815, 513, 1341, 476, 272, 454, 2745, 27719, 333, 5016, 6112, 513, 27045, 321, 910, 476, 272, 912, 2745, 1239, 9131, 18450, 262, 6012, 320, 6012, 272, 2639, 320, 815, 513, 1341, 476, 272, 454, 2745, 27719, 333, 5016, 6112, 513, 27045, 321, 910, 476, 272, 912, 2745, 1239, 9131, 18450, 262, 6012, 320, 6012, 273, 2639, 320, 815, 513, 1341, 476, 272, 454, 2745, 27719, 333, 5016, 6112, 513, 27045, 321, 910, 476, 272, 912, 2745, 1239, 9131, 18450, 262, 6012, 320, 6012, 274, 2639, 320, 815, 513, 1341, 476, 272, 454, 2745, 27719, 333, 5016, 6112, 513, 27045, 321, 910, 476, 272, 912, 2745, 1239, 9131, 18450, 262, 6012, 320, 6012, 275, 2639, 320, 815, 513, 1341, 476, 272, 454, 2745, 27719, 333, 5016, 6112, 513, 27045, 321, 910, 476, 272, 912, 2745, 1239, 9131, 18450, 262, 6012, 320, 6012, 276, 2639, 320, 815, 513, 1341, 476, 272, 454, 2745, 27719, 333, 5016, 6112, 513, 27045, 321, 910, 476, 272, 912, 2745, 1239, 9131, 18450, 262, 6012, 320, 6012, 277, 2639, 320, 815, 513, 1341, 476, 272, 454, 2745, 27719, 333, 4840, 32526, 1692, 1082, 594, 4194, 713, 1966, 543, 1711, 8638, 1759, 593, 519, 1657, 7954, 2496, 7042, 3080, 1259, 547, 1098, 2821, 8638, 568, 547, 946, 2387, 32502, 319, 1384, 18606, 24257, 1239, 815, 20886, 272, 267, 273, 267, 274, 25662, 275, 267, 276, 267, 277, 27663, 24257, 23407, 28949, 11907, 994, 27007, 272, 267, 476, 275, 1070, 630, 273, 267, 476, 276, 1070, 630, 274, 267, 476, 277, 22708, 32526, 2414, 1205, 1472, 519, 1966, 602, 707, 1239, 3884, 1405, 9846, 8032, 267, 596, 1223, 946, 2387, 714, 760, 9078, 784, 652, 319, 1384, 18606, 24257, 1239, 815, 20886, 271, 269, 5881, 275, 267, 476, 271, 269, 5881, 274, 267, 476, 271, 269, 5881, 273, 267, 476, 271, 269, 6734, 267, 476, 271, 269, 271, 3066, 267, 476, 271, 269, 271, 2190, 267, 476, 271, 269, 28512, 267, 476, 271, 269, 6349, 3910, 1496, 271, 269, 6349, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 27888, 3910, 1496, 271, 269, 271, 2918, 267, 476, 271, 269, 271, 2918, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 27888, 3910, 1496, 271, 269, 28512, 267, 476, 271, 269, 28512, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 30203, 3910, 1496, 271, 269, 5881, 278, 267, 476, 271, 269, 5881, 277, 267, 476, 271, 269, 5881, 275, 267, 476, 271, 269, 271, 4649, 267, 476, 271, 269, 271, 3393, 267, 476, 271, 269, 28512, 3910, 1496, 271, 269, 4962, 274, 267, 476, 271, 269, 32180, 267, 476, 271, 269, 4962, 272, 267, 476, 271, 269, 271, 2537, 267, 476, 271, 269, 28873, 3910, 1496, 271, 269, 28318, 267, 476, 271, 269, 28318, 27663, 24257, 689, 621, 1068, 8962, 1104, 476, 714, 760, 9078, 784, 652, 454, 24257, 476, 714, 760, 9078, 784, 652, 28949, 11907, 994, 283, 527, 1068, 8962, 269, 714, 760, 9078, 784, 652, 1843, 693, 476, 271, 343, 6200, 323, 6507, 322, 876, 11417, 24257, 1592, 263, 714, 760, 9078, 784, 652, 28949, 11907, 4917, 27007, 271, 269, 5881, 275, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 271, 2918, 267, 476, 271, 269, 28512, 267, 476, 271, 269, 5881, 278, 267, 476, 271, 269, 4962, 274, 267, 476, 271, 269, 28318, 1070, 630, 271, 269, 5881, 274, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 271, 2918, 267, 476, 271, 269, 28512, 267, 476, 271, 269, 5881, 277, 267, 476, 271, 269, 32180, 267, 476, 271, 269, 28318, 1070, 630, 271, 269, 5881, 273, 267, 476, 271, 269, 27888, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 5881, 275, 267, 476, 271, 269, 4962, 272, 267, 7183, 1070, 630, 271, 269, 6734, 267, 7183, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 30203, 267, 476, 271, 269, 271, 4649, 267, 476, 271, 269, 271, 2537, 267, 7183, 1070, 630, 271, 269, 271, 3066, 267, 7183, 267, 476, 271, 269, 6349, 267, 7183, 267, 476, 271, 269, 271, 3393, 267, 476, 271, 269, 28873, 267, 7183, 1070, 630, 271, 269, 271, 2190, 267, 7183, 267, 476, 271, 269, 27888, 267, 7183, 267, 476, 271, 269, 28512, 267, 7183, 267, 7183, 1070, 630, 271, 269, 28512, 267, 7183, 267, 7183, 267, 7183, 267, 7183, 267, 7183, 267, 7183, 1070, 630, 271, 269, 6349, 267, 7183, 267, 7183, 267, 7183, 267, 7183, 267, 7183, 267, 7183, 22708, 32526, 663, 3976, 1384, 18606, 24257, 9587, 815, 1592, 263, 714, 760, 9078, 784, 652, 28949, 11907, 4917, 24257, 9587, 314, 271, 2639, 263, 271, 269, 5881, 275, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 271, 2918, 267, 476, 271, 269, 28512, 267, 476, 271, 269, 5881, 278, 267, 476, 271, 269, 4962, 274, 267, 476, 271, 269, 28318, 994, 24257, 9587, 314, 272, 2639, 263, 271, 269, 5881, 274, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 271, 2918, 267, 476, 271, 269, 28512, 267, 476, 271, 269, 5881, 277, 267, 476, 271, 269, 32180, 267, 476, 271, 269, 28318, 994, 24257, 9587, 314, 273, 2639, 263, 271, 269, 5881, 273, 267, 476, 271, 269, 27888, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 5881, 275, 267, 476, 271, 269, 4962, 272, 267, 7183, 994, 32526, 296, 6415, 711, 2386, 1018, 596, 1616, 547, 798, 585, 834, 258, 274, 257, 4534, 707, 2063, 1016, 4289, 1152, 814, 1079, 2609, 269, 2387, 714, 760, 9078, 784, 652, 319, 814, 513, 2387, 15640, 7407, 319, 4781, 596, 666, 946, 547, 14574, 1018, 547, 798, 267, 799, 9949, 338, 547, 2387, 14085, 319, 630, 6518, 568, 1946, 519, 2063, 7127, 538, 2387, 3712, 8435, 314, 273, 316, 319, 568, 2387, 14085, 319, 6393, 8894, 1607, 568, 1360, 3579, 269, 1215, 1131, 596, 4308, 519, 3510, 1141, 972, 568, 513, 26134, 1871, 1369, 519, 1592, 269, 1280, 1383, 267, 952, 596, 1413, 693, 1592, 1948, 278, 1141, 519, 2609, 616, 476, 271, 269, 28318, 543, 476, 271, 269, 28318, 269, 1358, 1131, 1312, 581, 7584, 1948, 272, 855, 519, 3009, 1131, 1521, 873, 607, 5094, 6221, 269, 1772, 972, 513, 1259, 547, 1205, 7759, 540, 519, 26134, 3902, 1369, 1142, 1016, 2000, 626, 1354, 3257, 519, 8880, 1592, 2679, 286, 1107, 1109, 307, 532, 623, 532, 5463, 476, 1626, 1412, 1321, 693, 476, 1556, 281, 1428, 692, 2791, 1223, 946, 2387, 14403, 1326, 614, 319, 1384, 18606, 24257, 689, 11346, 1104, 6221, 1326, 614, 454, 24257, 4786, 263, 14403, 1326, 614, 263, 271, 1070, 1239, 994, 314, 271, 269, 5881, 275, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 271, 2918, 267, 476, 271, 269, 28512, 267, 476, 271, 269, 5881, 278, 267, 476, 271, 269, 4962, 274, 267, 476, 271, 269, 28318, 2639, 24257, 4786, 263, 14403, 1326, 614, 263, 272, 1070, 1239, 994, 314, 271, 269, 5881, 274, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 271, 2918, 267, 476, 271, 269, 28512, 267, 476, 271, 269, 5881, 277, 267, 476, 271, 269, 32180, 267, 476, 271, 269, 28318, 2639, 32526, 2791, 1223, 849, 946, 513, 1592, 8223, 630, 6518, 568, 4440, 811, 28505, 17107, 18606, 24257, 1496, 331, 314, 271, 316, 585, 561, 538, 1239, 2639, 314, 271, 269, 5881, 275, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 271, 2918, 267, 476, 271, 269, 28512, 267, 476, 271, 269, 5881, 278, 267, 476, 271, 269, 4962, 274, 267, 476, 271, 269, 28318, 2639, 18606, 454, 268, 0, 258, 2052, 2576, 948, 803, 609, 713, 24364, 6384, 1966, 780, 3383, 1631, 267, 476, 277, 269, 275, 268, 273, 293, 335, 284, 2742, 692, 663, 594, 917, 519, 8776, 4302, 568, 630, 293, 335, 266, 293, 326, 264, 305, 789, 1312, 957, 538, 519, 1482, 4287, 267, 8754, 1946, 594, 3773, 873, 1927, 269, 594, 917, 267, 8776, 4302, 849, 11224, 594, 10382, 1141, 14668, 30381, 29265, 543, 594, 284, 269, 276, 17307, 317, 273, 865, 782, 1927, 1547, 276, 17307, 317, 273, 5416, 24250, 6661, 263, 293, 335, 266, 293, 326, 7565, 305, 264, 1141, 513, 284, 273, 263, 293, 335, 266, 293, 326, 8358, 300, 269, 594, 1616, 547, 9004, 674, 326, 865, 594, 723, 1152, 1079, 4632, 547, 4194, 585, 513, 267, 513, 1373, 835, 540, 873, 269, 594, 993, 1714, 24231, 547, 972, 1590, 581, 1776, 1259, 540, 3257, 713, 602, 594, 993, 711, 3222, 540, 267, 538, 799, 594, 666, 4194, 585, 513, 1141, 594, 798, 711, 723, 513, 2034, 11508, 3196, 269, 594, 917, 593, 513, 2582, 12718, 267, 594, 723, 8406, 15738, 1524, 267, 543, 519, 3339, 3196, 15738, 909, 267, 594, 723, 519, 8406, 689, 519, 28506, 15738, 1524, 5196, 519, 12718, 267, 594, 723, 519, 3196, 540, 11508, 689, 519, 2666, 15738, 547, 519, 1318, 269, 543, 594, 723, 519, 3196, 540, 11508, 689, 519, 28506, 15738, 547, 519, 2451, 269, 1306, 540, 1631, 594, 723, 1044, 7893, 18165, 689, 519, 4099, 540, 2527, 540, 519, 12718, 269, 1403, 972, 568, 1022, 824, 1259, 540, 7893, 519, 18165, 267, 594, 6415, 711, 3222, 540, 621, 269, 1772, 519, 18165, 4294, 689, 519, 5377, 540, 519, 12718, 1131, 519, 18165, 581, 674, 335, 263, 273, 305, 6661, 263, 269, 276, 265, 300, 273, 305, 317, 273, 7565, 320, 270, 273, 305, 264, 2496, 8310, 12995, 912, 339, 4176, 2389, 574, 454, 29094, 4477, 704, 454, 320, 284, 273, 263, 293, 335, 266, 293, 326, 8358, 300, 563, 7224, 267, 602, 1058, 581, 674, 335, 910, 674, 326, 267, 12582, 1405, 621, 2496, 2791, 2811, 1318, 267, 476, 273, 263, 293, 335, 6363, 326, 8358, 300, 30381, 1924, 476, 277, 269, 275, 6363, 335, 284, 300, 263, 273, 263, 293, 335, 6363, 326, 8358, 300, 264, 594, 6415, 7508, 1945, 5458, 1317, 594, 3136, 547, 1205, 519, 4636, 2626, 269, 594, 1205, 1945, 602, 781, 2673, 855, 1055, 676, 513, 3787, 780, 302, 330, 865, 1039, 519, 4090, 540, 24880, 540, 519, 4099, 540, 2527, 547, 519, 4090, 540, 24880, 689, 519, 2666, 286, 14348, 519, 4090, 540, 24880, 689, 519, 2666, 581, 1547, 276, 300, 273, 305, 317, 273, 692, 339, 4176, 2389, 574, 454, 29094, 4477, 704, 454, 2791, 2811, 1318, 267, 476, 273, 263, 293, 335, 6363, 326, 8358, 300, 30381, 1924, 476, 277, 269, 275, 6363, 335, 284, 300, 263, 273, 263, 293, 335, 6363, 326, 8358, 300, 264, 594, 6415, 7508, 1945, 5458, 1317, 594, 3136, 547, 1205, 519, 4636, 2626, 269, 594, 1205, 1945, 602, 781, 2673, 855, 1055, 676, 513, 3787, 563, 9217, 8263, 596, 849, 1031, 707, 1547, 276, 17307, 317, 273, 5416, 24250, 6661, 263, 293, 335, 266, 293, 326, 7565, 305, 264, 7790, 2020, 9767, 9364, 1732, 1397, 721, 707, 2347, 9819, 692, 9217, 3513, 7058, 596, 2811, 856, 676, 513, 3815, 540, 1079, 12341, 1317, 540, 519, 1079, 26561, 2020, 2704, 2431, 865, 1131, 594, 798, 630, 293, 335, 6363, 326, 7565, 305, 6661, 263, 269, 276, 263, 17307, 317, 273, 11924, 300, 263, 273, 305, 317, 273, 4297, 320, 24250, 585, 519, 6252, 7852, 11532, 1287, 286, 570, 284, 305, 343, 293, 799, 568, 3160, 547, 519, 4090, 540, 24880, 630, 6748, 519, 6252, 7852, 11532, 264, 2053, 513, 29265, 269, 3973, 4194, 585, 513, 855, 1287, 952, 1775, 11690, 602, 883, 1250, 674, 284, 2742, 3830, 1775, 1869, 723, 1614, 4632, 2433, 263, 692, 18314, 22177, 296, 3494, 594, 23125, 621, 856, 267, 21453, 865, 594, 3576, 692, 293, 6363, 335, 284, 2742, 692, 307, 284, 293, 335, 305, 692, 663, 570, 284, 296, 10382, 692, 2690, 23115, 519, 2953, 594, 1871, 267, 594, 1705, 519, 6252, 7852, 11532, 267, 594, 284, 296, 6831, 332, 266, 13270, 317, 273, 692, 3602, 594, 6831, 332, 284, 269, 276, 17307, 317, 273, 543, 11022, 317, 273, 284, 275, 17307, 317, 273, 865, 1250, 5916, 594, 1871, 568, 692, 269, 276, 17307, 317, 273, 266, 275, 17307, 317, 273, 284, 280, 270, 273, 17307, 317, 273, 284, 296, 692, 763, 594, 3576, 1250, 594, 1871, 543, 16611, 621, 676, 14668, 30381, 24250, 547, 2285, 803, 18165, 543, 594, 1305 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 952, 2556, 563, 1103, 1840, 547, 3106, 4170, 267, 2348, 1995, 593, 16996, 568, 513, 1590, 3620, 1511, 950, 8939, 707, 12284, 2818, 269, 901, 1797, 602, 1142, 1268, 1058, 723, 930, 1702, 827, 10935, 7829, 267, 12979, 1681, 2553, 543, 23603, 532, 538, 11315, 15798, 610, 3983, 4365, 2175, 269, 898, 779, 849, 1271, 602, 789, 1174, 2596, 10935, 5826, 1519, 10992, 3282, 2157, 267, 4657, 8141, 11690, 338, 543, 7900, 2599, 18203, 952, 2877, 1282, 519, 7552, 563, 22998, 17148, 543, 6428, 2456, 585, 962, 25638, 595, 4319, 338, 454, 2026, 519, 3747, 585, 17195, 586, 25638, 2533, 4679, 267, 865, 1281, 519, 991, 585, 8036, 543, 4810, 586, 25638, 12284, 2818, 269, 962, 25638, 1212, 9749, 1683, 513, 3099, 540, 2533, 593, 4604, 267, 689, 24756, 547, 4702, 547, 5826, 543, 811, 269, 2755, 2324, 593, 513, 586, 25638, 666, 581, 606, 3078, 543, 14785, 2816, 267, 621, 849, 2501, 609, 922, 1378, 2189, 1305, 540, 2591, 269, 4197, 519, 2324, 2175, 543, 23269, 585, 586, 25638, 1212, 9749, 568, 1898, 585, 4896, 6236, 713, 1899, 540, 960, 563, 2691, 3168, 693, 1761, 6009, 607, 513, 4759, 540, 513, 586, 25638, 12284, 267, 835, 1590, 2015, 1312, 519, 3108, 5249, 607, 1134, 607, 519, 13180, 4607, 269, 634, 5354, 540, 7158, 2154, 1279, 2395, 609, 1100, 2395, 1055, 538, 1063, 11731, 282, 2705, 267, 930, 11731, 2709, 15964, 9397, 610, 824, 3029, 540, 1365, 924, 547, 12284, 2818, 269, 769, 2110, 3856, 11731, 630, 17141, 9434, 1100, 811, 982, 1079, 4374, 1070, 3108, 616, 1419, 1279, 1107, 909, 547, 476, 1626, 3108, 829, 1554, 1107, 855, 936, 5503, 949, 581, 2139, 4470, 593, 6381, 269, 1306, 2484, 607, 2628, 4422, 267, 13848, 4268, 7494, 1759, 593, 1995, 1377, 267, 2990, 4371, 593, 4580, 543, 16108, 282, 2705, 1034, 7127, 7400, 7158, 1376, 1472, 1269, 273, 267, 1822, 268, 259, 274, 267, 1822, 829, 3923, 538, 1840, 547, 4055, 543, 4604, 3177, 676, 519, 6077, 8227, 270, 28072, 1247, 593, 4580, 454, 1103, 3932, 267, 586, 25638, 12284, 568, 513, 14785, 4876, 602, 3091, 1390, 3255, 585, 2951, 543, 2123, 2208, 269, 11554, 607, 851, 540, 513, 2319, 267, 519, 12284, 4249, 606, 1271, 1909, 538, 4180, 519, 5347, 4881, 540, 586, 778, 1206, 543, 2870, 12300, 2833, 585, 741, 15915, 269, 898, 666, 581, 513, 4101, 2816, 267, 855, 621, 568, 849, 606, 5863, 4316, 547, 1294, 519, 1158, 543, 2744, 3407, 1983, 269, 2060, 2182, 960, 543, 11428, 267, 4896, 666, 1831, 851, 540, 713, 3078, 2872, 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 ]
[ 949, 1981, 3478, 16207, 538, 21569, 563, 8005, 814, 3656, 12046, 888, 288, 1857, 21991, 12460, 949, 9886, 12046, 689, 31989, 547, 513, 7198, 945, 568, 16143, 540, 7803, 2534, 538, 2132, 585, 602, 1367, 779, 21981, 1996, 824, 16143, 20737, 269, 769, 772, 2529, 269, 1876, 972, 616, 1079, 2010, 540, 7803, 12046, 1765, 10520, 716, 1308, 12046, 543, 946, 12046, 563, 1432, 1281, 594, 5418, 611, 519, 476, 273, 526, 1611, 888, 2005, 1797, 519, 17740, 807, 729, 538, 606, 2500, 3337, 547, 4339, 1848, 769, 824, 1913, 267, 621, 4769, 1406, 1611, 519, 1533, 729, 9013, 519, 17740, 807, 538, 513, 1978, 1259, 267, 855, 2864, 602, 519, 17740, 807, 729, 5423, 547, 798, 922, 10279, 269, 0, 26872, 19881, 25594, 19314, 2246, 4243, 649, 723, 6074, 269, 1284, 1590, 1305, 1354, 873, 1152, 519, 25704, 540, 3332, 267, 543, 741, 2090, 1590, 581, 9859, 267, 711, 1152, 547, 519, 6574, 8186, 267, 855, 547, 741, 1781, 545, 652, 24299, 269, 1452, 616, 547, 581, 1224, 1586, 543, 1586, 267, 14384, 543, 538, 4999, 269, 4256, 1625, 1636, 267, 1106, 267, 1893, 267, 12946, 593, 519, 2053, 267, 1590, 581, 8792, 569, 6594, 267, 11489, 519, 2875, 5956, 547, 21028, 519, 2407, 1871, 540, 1142, 960, 1312, 538, 3294, 543, 538, 922, 1894, 547, 1346, 602, 979, 1354, 543, 1346, 602, 1246, 621, 563, 2005, 568, 2523, 12479, 602, 713, 10022, 949, 6961, 3730, 547, 28247, 625, 262, 12140, 543, 5664, 4147, 12140, 6902, 538, 799, 2296, 9085, 1590, 2141, 581, 513, 3056, 1641, 540, 6044, 563, 288, 4937, 4985, 547, 519, 10022, 269, 1635, 7905, 454, 289, 4319, 518, 267, 631, 6993, 269, 476, 272, 269, 932, 29694, 269, 634, 1160, 331, 4084, 547, 519, 2052, 26248, 24079, 282, 634, 454, 298, 9519, 525, 26626, 282, 634, 6348, 928, 2776, 560, 1010, 26626, 269, 3798, 1243, 676, 681, 269, 24261, 267, 15503, 585, 519, 7216, 2296, 7956, 5980, 267, 1299, 322, 1421, 1299, 322, 269, 5822, 9990, 269, 23448, 535, 5115, 269, 476, 279, 17383, 269, 12308, 267, 476, 273, 338, 267, 476, 277, 323, 563, 273, 269, 1975, 27660, 781, 13056, 2044, 6581, 2940, 269, 7734, 594, 543, 4083, 269, 23850, 454, 2151, 12187, 585, 519, 946, 540, 12140, 269, 2060, 4985, 267, 11872, 267, 543, 3794, 27443, 269, 1635, 717, 269, 654, 269, 918, 3558, 514, 267, 631, 6993, 1421, 19497, 595, 16428, 540, 2441, 5783, 269, 23448, 535, 5115, 269, 476, 279, 17383, 269, 12308, 267, 476, 1839, 269, 476, 277, 323, 269, 1142, 563, 274, 269, 670, 809, 518, 269, 8278, 27036, 20292, 2717, 640, 267, 3883, 594, 269, 3798, 1243, 676, 681, 269, 654, 563, 2419, 3420, 267, 631, 6993, 1421, 681, 10725, 540, 1548, 2917, 282, 19497, 29533, 540, 18112, 601, 5441, 267, 10228, 563, 15761, 571, 535, 5115, 269, 476, 279, 17383, 269, 12308, 267, 476, 1839, 269, 476, 275, 269, 9956, 269, 8564, 1773, 904, 269, 3798, 1243, 676, 654, 269, 717, 269, 18412, 2676, 300, 6993, 1421, 29533, 540, 27076, 5441, 267, 11062, 282, 543, 654, 269, 25548, 529, 19159, 267, 631, 6993, 1421, 27076, 5441, 267, 11062, 563, 296, 269, 634, 8585, 31008, 540, 24131, 269, 23448, 535, 5115, 269, 476, 279, 17383, 269, 13888, 6227, 267, 1772, 269, 4083, 269, 9400, 519, 5822, 269, 23448, 535, 5115, 269, 476, 279, 17383, 269, 13888, 6227, 267, 1772, 269, 476, 277, 323, 269, 8633, 269, 16077, 269, 23448, 535, 5115, 269, 476, 279, 17383, 269, 13888, 6227, 267, 1772, 269, 476, 277, 323, 563, 4353, 269, 17283, 269, 23448, 535, 5115, 269, 476, 279, 17383, 267, 13888, 6227, 267, 476, 1839, 269, 3807, 3370, 269, 476, 276, 269, 32365, 269, 21992, 618, 540, 4804, 269, 3798, 1243, 676, 654, 269, 25548, 529, 454, 310, 2431, 267, 631, 6993, 269, 23448, 535, 5115, 269, 476, 279, 17383, 269, 12308, 267, 476, 275, 338, 269, 476, 277, 323, 269, 476, 277, 269, 29859, 269, 31888, 269, 3798, 1243, 676, 681, 269, 595, 269, 645, 992, 928, 267, 631, 6993, 1421, 543, 21133, 540, 3751, 781, 5441, 267, 5507, 269, 476, 273, 2019, 338, 269, 6987, 269, 535, 5115, 269, 476, 279, 17383, 269, 12308, 267, 476, 277, 338, 269, 476, 277, 323, 563, 306, 1245, 14384, 267, 5292, 269, 594, 269, 5822, 9990, 267, 476, 3393, 1421, 5292, 269, 4083, 269, 476, 3374, 563, 278, 269, 16959, 6577, 269, 853, 11961, 553, 593, 519, 12280, 540, 20182, 595, 668, 6202, 476, 3248, 288, 14259, 20660, 4414, 5060, 282, 7788, 639, 21001, 321, 18442, 282, 12559, 531, 558, 543, 21926, 527, 641, 3559, 282, 9671, 1470, 5487, 545, 328, 282, 634, 13130, 543, 519, 23202, 615, 269, 3798, 1243, 676, 654, 269, 667, 269, 2441, 773, 267, 631, 6993, 1421, 27076, 5441, 2676, 23173, 8822, 269, 23448, 535, 5115, 269, 476, 279, 17383, 269, 12308, 267, 476, 3374, 269, 476, 277, 323, 269, 476, 279, 269, 645, 684, 12505, 269, 24553, 2806, 15929, 282, 634, 15815, 15317, 781, 18776, 563, 10955, 1243, 676, 661, 269, 10469, 1963, 267, 631, 269, 589, 1421, 32588, 540, 12493, 269, 476, 280, 269, 15352, 269, 2060, 4985, 543, 11872, 269, 1635, 4460, 623, 3430, 2581, 2676, 289, 6185, 1421, 681, 10725, 540, 12493, 5441, 267, 10228, 563, 272, 269, 4828, 593, 2494, 269, 23448, 535, 5115, 269, 476, 279, 17383, 269, 13888, 6227, 267, 1772, 269, 476, 277, 323, 563, 2862, 269, 9045, 2231, 543, 9210, 30178, 269, 23448, 535, 5115, 269, 476, 279, 17383, 269, 13888, 6227, 267, 476, 2764, 269, 476, 1015, 269, 9652, 269, 681, 553, 1088, 553, 282, 22032, 540, 15352, 543, 16959, 6577, 269, 3798, 1243, 454, 2421, 595, 269, 670, 269, 744, 269, 12253, 267, 631, 6993, 1421, 29533, 543, 570, 12460, 540, 1937, 31569, 5441, 267, 10228, 269, 476, 1556, 269, 8738, 651, 269, 32438, 593, 519, 10558, 2598, 4186, 757, 282, 519, 5565, 454, 11854, 16696, 593, 3013, 6902, 14484, 687, 593, 519, 3943, 7169, 269, 1635, 4460, 623, 3430, 328, 454, 5459, 267, 645, 6185, 1421, 681, 10725, 540, 12493, 5441, 267, 10228, 269, 476, 1321, 269, 21582, 704, 269, 634, 17130, 267, 543, 930, 540, 1010, 5634, 31888, 563, 10955, 1243, 676, 808, 269, 595, 269, 1744, 1515, 335, 267, 631, 6993, 1421, 25867, 540, 519, 2136, 5441, 267, 853, 269, 12448, 338, 563, 13775, 585, 519, 2160, 676, 454, 763, 16692, 4041, 294, 2969, 2464, 5508, 5990, 11553, 8577, 16436, 10372, 543, 5796, 689, 782, 7606, 5461, 538, 2069, 282, 543, 786, 581, 9684, 995, 585, 536, 6493, 267, 1299, 322, 1421, 9619, 547, 2901, 519, 4860, 269, 717, 269, 654, 269, 918, 3951, 6224, 2562, 267, 853, 269, 717, 3796, 781, 10003, 5101, 267, 10228, 267, 610, 519, 22444, 3918, 307, 14473, 9215, 5990, 16692, 4041, 294, 2969, 2464, 267, 29366, 526, 517, 4964, 267, 10228, 269, 0, 306, 16184, 619, 267, 476, 1220, 272, 910, 6481, 910, 476, 27174, 3817, 454, 300, 4785, 290, 8085, 5308, 17395, 4041, 307, 3201, 18909, 6227, 519, 1898, 543, 2596, 5013, 540, 30273, 6419, 16982, 9196, 269, 16453, 14169, 267, 519, 1034, 1455, 17244, 267, 543, 3676, 602, 616, 2189, 547, 519, 20133, 5669, 3135, 616, 5941, 2059, 609, 1367, 10549, 543, 2489, 2068, 3157, 269, 1677, 7520, 1565, 267, 519, 1257, 568, 25401, 6896, 676, 7234, 519, 3334, 540, 14169, 267, 1287, 5612, 6941, 17244, 7133, 519, 1367, 3889, 563, 629, 7538, 11105, 4299, 21721, 18751, 5920, 2127, 15561, 21650, 2460, 2404, 13613, 30212, 3239, 22833, 10134, 5642, 536, 2720, 320, 20162, 2014, 1591, 2242, 5312, 4791, 1455, 4334, 10260, 1351, 4689, 3239, 28144, 28115, 894, 6542, 16326, 5868, 27556, 2068, 12210, 30218, 16079, 23969, 19349, 6268, 10423, 3185, 7394, 7612, 4681, 4827, 528, 5714, 17122, 3723, 17795, 1350, 31734, 2212, 1164, 5365, 8515, 1164, 1606, 793, 531, 4857, 2799, 6920, 3968, 5945, 8515, 593, 570, 273, 310, 13591, 9525, 4745, 12597, 2978, 5300, 14694, 15087, 30301, 4092, 1970, 5365, 8515, 561, 29856, 20768, 20768, 30046, 2527, 31443, 2367, 29234, 4887, 8229, 3339, 21933, 1664, 2049, 15259, 572, 748, 1928, 9864, 3461, 7077, 2990, 17911, 1459, 9938, 2711, 24293, 10237, 21106, 7101, 5735, 2699, 20768, 1267, 29345, 527, 2145, 3239, 2938, 9696, 1352, 987, 13105, 2982, 2571, 5160, 2230, 12636, 590, 2316, 305, 3889, 9120, 4478, 6794, 861, 2617, 658, 570, 272, 29345, 527, 2145, 570, 273, 310, 2592, 17229, 25688, 11098, 512, 542, 8194, 10510, 15993, 12804, 333, 541, 2356, 9451, 13887, 1560, 21015 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7454, 15361, 547, 1451, 7305, 540, 476, 2190, 909, 547, 476, 736, 2053, 609, 7824, 1923, 476, 2190, 18087, 7305, 692, 2252, 596, 1616, 547, 1451, 7515, 2523, 1109, 2190, 25697, 3349, 1109, 6533, 596, 616, 2542, 519, 1318, 2376, 1317, 649, 786, 4001, 596, 519, 7515, 538, 2653, 1913, 1900, 676, 1900, 689, 4098, 1109, 514, 695, 320, 2353, 320, 1695, 692, 8368, 540, 476, 2190, 1058, 581, 4121, 676, 3025, 1317, 649, 946, 621, 538, 3592, 782, 2010, 540, 9273, 267, 2436, 621, 568, 547, 4194, 13004, 2055, 610, 3232, 9273, 780, 2690, 1383, 267, 15475, 952, 631, 6545, 644, 1207, 903, 476, 1015, 13340, 540, 7622, 5370, 585, 12652, 476, 2190, 267, 1287, 646, 666, 3362, 5173, 602, 646, 814, 547, 2285, 12652, 476, 13301, 547, 519, 6300, 24010, 1317, 630, 476, 2190, 6398, 476, 1015, 815, 476, 13301, 3738, 972, 616, 1082, 824, 4025, 899, 713, 269, 1284, 666, 946, 519, 7305, 540, 476, 2190, 547, 1118, 519, 9819, 4443, 692, 16378, 494, 28095, 7305, 692, 9202, 7305, 20681, 692, 12988, 547, 519, 1292, 7305, 692, 1012, 18527, 3349, 540, 476, 2190, 1923, 476, 2190, 18087, 7305, 692, 3086, 649, 786, 2119, 547, 1451, 519, 3349, 540, 476, 2190, 676, 782, 1346, 2101, 2409, 799, 616, 607, 5205, 1107, 692, 1892, 476, 2190, 18087, 7305, 538, 4569, 1107, 18527, 6396, 454, 1892, 476, 2190, 18087, 7305, 769, 9293, 1107, 32172, 18028, 480, 2633, 355, 21005, 7162, 362, 17775, 23517, 630, 7162, 355, 17775, 2633, 369, 23547, 14098, 501, 18892, 21005, 3738, 6396, 454, 1892, 19446, 10606, 18527, 1505, 454, 1892, 1635, 2296, 6396, 692, 2162, 476, 2190, 18087, 7305, 538, 4569, 1107, 18527, 6396, 692, 5575, 540, 782, 649, 2911, 827, 18527, 1505, 602, 621, 568, 1031, 538, 1565, 1034, 540, 519, 7515, 267, 538, 713, 519, 7515, 616, 4121, 676, 14921, 519, 2338, 6606, 267, 865, 621, 568, 2808, 547, 581, 519, 1034, 2442, 780, 2162, 476, 2190, 18087, 7305, 769, 1913, 1107, 32172, 18028, 480, 2633, 355, 21005, 7162, 362, 17775, 23517, 630, 7162, 355, 17775, 2633, 369, 23547, 14098, 501, 18892, 21005, 3738, 6396, 692, 2633, 483, 2633, 361, 32172, 28440, 7162, 485, 28637, 17775, 7162, 487, 23547, 7162, 366, 26498, 2633, 501, 26498, 21999, 17775, 7162, 366, 18028, 493, 476, 2190, 21999, 11111, 7162, 359, 2633, 373, 14098, 350, 2633, 376, 11111, 29334, 18028, 500, 14098, 357, 17775, 21999, 16284, 21999, 26498, 2633, 370, 18028, 370, 21999, 18892, 17775, 23517, 2633, 501, 17775, 7162, 506, 18028, 357, 11695, 373, 17775, 7162, 355, 17775, 2633, 369, 23547, 14098, 501, 18892, 21005, 32172, 18028, 480, 2633, 355, 21005, 7162, 483, 2633, 504, 11695, 505, 17775, 29334, 17775, 7162, 484, 23371, 21005, 32172, 26498, 7162, 483, 23517, 2633, 501, 31073, 17775, 2633, 506, 21005, 7162, 487, 23547, 11695, 373, 17775, 23517, 21999, 28440, 7162, 363, 11111, 7162, 361, 18028, 366, 24691, 27758, 2633, 366, 7162, 357, 2633, 373, 21005, 23517, 7162, 484, 23371, 21005, 32172, 26498, 7162, 369, 26498, 7162, 511, 21005, 7162, 485, 28637, 17775, 29334, 21005, 2633, 500, 29334, 24691, 17775, 5936, 353, 692, 2162, 19446, 10606, 18527, 1505, 692, 19350, 649, 786, 1451, 476, 2190, 779, 3349, 538, 19446, 27766, 692, 2162, 1635, 2296, 1505, 692, 19350, 649, 1451, 519, 3349, 540, 476, 2190, 538, 2296, 692, 2971, 570, 9581, 547, 6258, 476, 2190, 8648, 7305, 692, 307, 4459, 1948, 272, 1109, 1103, 519, 3349, 540, 476, 2190, 11489, 476, 1015, 267, 519, 4358, 7857, 786, 581, 2799, 676, 606, 8884, 540, 476, 273, 1247, 519, 2063, 7857, 786, 2333, 676, 476, 275, 267, 3807, 1832, 538, 2247, 602, 952, 519, 2063, 835, 2501, 1657, 519, 1770, 267, 1287, 649, 723, 547, 1491, 1152, 519, 1770, 779, 7857, 267, 3116, 596, 786, 1039, 621, 547, 519, 4358, 7857, 899, 1107, 692, 1892, 476, 2190, 267, 476, 4366, 267, 476, 7761, 267, 476, 9834, 2507, 476, 21327, 267, 476, 13301, 3767, 596, 666, 1294, 602, 538, 476, 2190, 476, 4366, 476, 7761, 972, 568, 513, 7934, 540, 476, 273, 538, 519, 4358, 7857, 6466, 538, 476, 7761, 519, 7934, 540, 476, 274, 814, 5949, 1317, 519, 7934, 540, 476, 274, 538, 519, 2063, 7857, 540, 476, 4366, 568, 1657, 519, 1770, 267, 865, 649, 3893, 519, 1770, 570, 809, 476, 273, 538, 476, 1321, 779, 7857, 543, 3773, 476, 272, 547, 476, 277, 538, 519, 4358, 7857, 1287, 621, 2968, 476, 278, 865, 519, 1297, 2968, 476, 7761, 692, 307, 4459, 1948, 273, 634, 15864, 1259, 547, 1451, 543, 27655, 621, 568, 547, 2259, 621, 676, 1603, 609, 6340, 780, 2971, 7305, 540, 476, 2190, 6201, 692, 3499, 22091, 1948, 272, 10778, 24066, 10663, 1210, 476, 2190, 2053, 3349, 281, 476, 2190, 2053, 476, 276, 692, 11405, 912, 5575, 267, 649, 786, 2328, 476, 2190, 2053, 476, 276, 28879, 269, 8794, 519, 3349, 540, 476, 2190, 267, 649, 723, 281, 476, 2190, 2053, 476, 276, 476, 815, 476, 2190, 6398, 476, 276, 815, 476, 6344, 4935, 267, 476, 2190, 2053, 476, 276, 568, 476, 6344, 780, 22091, 1948, 273, 10778, 2252, 835, 570, 850, 1942, 476, 736, 678, 338, 267, 4635, 519, 3349, 540, 476, 2190, 267, 7447, 519, 1942, 540, 17981, 2496, 11405, 912, 7712, 267, 476, 272, 22739, 815, 476, 736, 678, 338, 267, 4475, 267, 676, 1210, 476, 2190, 2053, 3349, 281, 2190, 17981, 815, 476, 2190, 1535, 476, 736, 815, 476, 21878, 678, 338, 13295, 267, 519, 1942, 540, 476, 2190, 17981, 616, 476, 21878, 3464, 780, 22091, 1948, 274, 10778, 3412, 3757, 568, 3843, 547, 5173, 519, 2040, 540, 519, 1101, 476, 275, 23385, 540, 476, 2190, 269, 2913, 721, 948, 1955, 3757, 538, 12719, 519, 1482, 1210, 519, 3349, 540, 476, 2190, 780, 11405, 1384, 763, 1101, 5216, 23385, 540, 476, 2190, 616, 1384, 2190, 6398, 476, 272, 815, 476, 2190, 454, 2190, 6398, 476, 273, 815, 476, 4366, 454, 2190, 6398, 476, 274, 815, 476, 7761, 454, 2190, 6398, 476, 275, 815, 476, 9834, 692, 29002, 519, 23385, 476, 2190, 1341, 476, 4366, 1341, 476, 7761, 1341, 476, 9834, 476, 815, 476, 13301, 4935, 267, 519, 2040, 568, 476, 13301, 7884, 2971, 1548, 649, 723, 4121, 2496, 8368, 540, 476, 2190, 1923, 18527, 540, 476, 2190, 1923, 476, 2190, 25697, 533, 1695, 3385, 1923, 476, 2190, 21999, 11111, 7162, 359, 2633, 373, 14098, 350, 2633, 376, 11111, 1923, 18527, 540, 2185, 1923, 476, 2190, 8648, 3349, 1923, 476, 2190, 3349, 538, 19446, 1923, 476, 2190, 3349, 538, 2296, 1923, 476, 2190, 21999, 11111, 7162, 359, 2633, 373, 14098, 350, 2633, 376, 11111, 7162, 485, 23517, 2633, 501, 11695, 366, 18028, 370, 7162, 362, 17775, 23517, 1923, 476, 2190, 25697, 533, 1695, 3385, 8666, 1923, 476, 2190, 18087, 533, 1695, 3385, 476, 736, 512, 752, 1923, 476, 2420, 476, 2537, 476, 2190, 25697, 623, 1695, 3385, 1923, 476, 2190, 18087, 623, 1695, 3385, 2296, 803, 514, 1923, 476, 2641, 476, 2420, 476, 2537, 476, 2190, 25697, 623, 1695, 3385, 19446, 803, 514, 1923, 476, 2537, 476, 2190, 25697, 3349, 1923, 2296, 803, 514, 476, 2190, 25697, 3349, 1923, 476, 2190, 25697, 7305, 476, 736, 512, 752, 1923, 476, 2537, 28050, 476, 2190, 25697, 3349, 536, 1092, 523, 692, 16665, 15080, 692, 7462, 14174, 304, 1107, 476, 2190, 25697, 7305, 454, 4692, 596, 2995, 803, 476, 2190, 3349, 2496, 2190, 9943, 272, 476, 2190, 630, 23562, 4868, 9050, 994, 2190, 9943, 273, 476, 4366, 630, 293, 677, 344, 20640, 994, 2190, 9943, 274, 476, 7761, 630, 5353, 1203, 344, 5565, 994, 2190, 9943, 275, 476, 9834, 630, 301, 27197, 14520, 994, 2190, 9943, 276, 476, 6344, 630, 3080, 25569, 26062, 994, 2190, 9943, 277, 476, 13893, 630, 3080, 25569, 10783, 344, 9050, 994, 2190, 9943, 278, 476, 12739, 630, 3080, 25569, 590, 4869, 344, 20640, 994, 2190, 9943, 279, 476, 4572, 630, 3080, 25569, 715, 27197, 5565, 994, 2190, 9943, 280, 476, 21327, 630, 10521, 25569, 590, 4869, 8696, 994, 2190, 9943, 1015, 476, 13301, 630, 10521, 25569, 10783, 344, 2020, 1432, 568, 519, 3349, 540, 476, 1839, 2496, 763, 3349, 540, 476, 1839, 568, 519, 8691, 3349, 602, 2882, 519, 23385, 540, 519, 1297, 476, 1839, 950, 16611, 676, 513, 1305, 540, 2898, 2338, 269, 7305, 540, 476, 1839, 4564, 519, 7368, 1840, 540, 476, 1839, 609, 3294, 269, 1280, 1383, 267, 476, 274, 9343, 540, 476, 1839, 7980, 1142, 3947, 519, 2040, 540, 476, 1839, 1341, 476, 1839, 1341, 476, 1839, 815, 476, 4037, 269, 4475, 267, 519, 2698, 1297, 540, 7980, 568, 476, 4037, 269, 2107, 649, 666, 849, 2328, 621, 607, 267, 476, 274, 1535, 476, 1839, 815, 476, 4037, 267, 1141, 476, 274, 568, 519, 1297, 540, 9343, 543, 476, 1839, 568, 519, 1297, 540, 7980, 7555, 538, 1142, 4737, 780, 2918, 21999, 11111, 7162, 359, 2633, 373, 14098, 350, 2633, 376, 11111, 21999, 5936, 486, 28637, 17775, 7162, 366, 18028, 500, 17775, 23517, 2496, 2918, 9943, 272, 476, 2918, 630, 2633, 505, 2633, 361, 11695, 361, 21005, 28637, 994, 2918, 9943, 273, 476, 7367, 630, 2633, 361, 14098, 369, 23547, 994, 2918, 9943, 274, 476, 4281, 630, 2633, 483, 2633, 510, 23371, 31073, 994, 2918, 9943, 275, 476, 10441, 630, 2633, 493, 24691, 29334, 5936, 490, 7162, 504, 14098, 364, 994, 2918, 9943, 276, 476, 9873, 630, 2633, 493, 24691, 29334, 5936, 490, 7162, 353, 21005, 28637, 994, 2918, 9943, 277, 476, 14444, 630, 2633, 493, 24691, 29334, 5936, 490, 7162, 505, 2633, 359, 11695, 359, 23547, 994, 2918, 9943, 278, 476, 9264, 630, 2633, 493, 24691, 29334, 5936, 490, 7162, 361, 5936, 486, 2633, 363, 14098, 372, 21005, 994, 2918, 9943, 279, 476, 21172, 630, 2633, 355, 26498, 29334, 5936, 490, 7162, 484, 2633, 510, 994, 2918, 9943, 280, 476, 23056, 630, 2633, 355, 26498, 29334, 5936, 490, 7162, 504, 5936, 490, 23371, 21005, 28637, 994, 2918, 9943, 1015, 476, 18605, 630, 2633, 355, 26498, 29334, 5936, 490, 29334, 14098, 510, 2020, 2420, 21999, 11111, 7162, 359, 2633, 373, 14098, 350, 2633, 376, 11111, 21999, 5936, 486, 28637, 17775, 7162, 359, 2633, 351, 2633, 376, 11111, 7162, 506, 14098, 353, 11111, 32172, 5936, 486, 2496, 2633, 361, 14098, 486, 28637, 7162, 493, 24691, 28440, 7162, 361, 14098, 486, 28637, 454, 2633, 361, 14098, 486, 28637, 7162, 355, 5936, 480, 23547, 21005, 7162, 504, 2633, 369, 11695, 369, 14098, 366, 18028, 372, 454, 2633, 361, 14098, 486, 28637, 7162, 353, 18028, 363, 11111, 7162, 505, 18028, 363, 14098, 372, 2633, 510, 454, 2633, 361, 14098, 486, 28637, 7162, 504, 5936, 490, 24691, 11111, 7162, 483, 2633, 510, 2633, 363, 14098, 372, 21005, 454, 2633, 361, 14098, 486, 28637, 7162, 359, 14098, 480, 2633, 504, 17775, 7162, 493, 24691, 29334, 5936, 490, 7162, 355, 28637, 454, 2633, 361, 14098, 486, 28637, 7162, 505, 24691, 11695, 499, 17775, 7162, 493, 24691, 29334, 5936, 490, 7162, 361, 23371, 11695, 353, 21005, 28637, 454, 2633, 361, 14098, 486, 28637, 29334, 23371, 11695, 353, 17775, 7162, 493, 24691, 29334, 5936, 490, 7162, 504, 5936, 490, 2633, 369, 23547, 454, 2633, 361, 14098, 486, 28637, 7162, 483, 2633, 509, 11695, 510, 17775, 7162, 493, 24691, 29334, 5936, 490, 7162, 505, 18028, 357, 11695, 353, 18892, 454, 2633, 361, 14098, 486, 28637, 7162, 357, 5936, 490, 2633, 369, 17775, 7162, 493, 24691, 29334, 5936, 490, 2633, 483, 2633, 510, 14098, 357, 2633, 369, 17775, 454, 2633, 361, 14098, 486, 28637, 7162, 356, 14098, 363, 7162, 355, 26498, 29334, 5936, 490, 7162, 361, 21005, 28637, 692, 2971, 15937, 1913, 607, 10390, 692, 307, 1963, 1118, 9273, 2653, 267, 2436, 1840, 267, 14230, 267, 8691, 610, 6498, 267, 596, 666, 3362, 798, 4977, 543, 3728, 9273, 609, 519, 948, 540, 7515, 267, 865, 2221, 649, 4121, 1109, 2190, 25697, 3349, 30548, 621, 568, 1360, 2653, 780, 16665, 15080, 692, 14807, 1049, 15080, 0, 258, 634, 18527, 674, 6369, 7644, 692, 288, 674, 6369, 7644, 568, 513, 3810, 7317, 3561, 602, 666, 581, 1031, 4827, 4601, 547, 6385, 1683, 4830, 5955, 547, 1053, 269, 476, 1109, 763, 3381, 2630, 786, 1469, 875, 547, 946, 519, 18527, 674, 6369, 7644, 3561, 269, 476, 1109, 293, 6369, 7644, 568, 606, 27099, 585, 24720, 585, 4804, 693, 606, 11628, 18763, 15580, 269, 476, 1109, 4407, 594, 723, 7366, 540, 1114, 5686, 540, 674, 6369, 7644, 6054, 602, 594, 4076, 2854, 936, 519, 1296, 267, 594, 4941, 547, 2253, 676, 4687, 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 ]
[ 11680, 692, 273, 533, 6493, 630, 3953, 13728, 264, 815, 476, 272, 14415, 692, 273, 844, 11301, 630, 5038, 13728, 264, 815, 476, 16006, 20645, 692, 275, 844, 11301, 630, 12553, 13728, 264, 815, 476, 272, 20645, 692, 272, 772, 2529, 269, 3044, 22902, 815, 476, 4029, 269, 276, 17529, 692, 272, 772, 2529, 269, 20645, 815, 476, 275, 270, 276, 15875, 20645, 692, 23873, 610, 8225, 22902, 815, 476, 3607, 15875, 17529, 692, 290, 867, 692, 288, 10260, 568, 4122, 1031, 547, 2268, 3595, 6229, 267, 543, 568, 3989, 607, 476, 12553, 12945, 3952, 780, 307, 517, 692, 2467, 616, 1614, 1114, 2010, 540, 9748, 269, 589, 2110, 9522, 568, 476, 1220, 271, 6550, 269, 634, 3703, 9522, 568, 519, 1279, 9522, 267, 799, 568, 476, 23470, 271, 6550, 269, 1703, 568, 849, 513, 3791, 1826, 540, 9522, 1572, 519, 11973, 9522, 267, 3160, 547, 476, 1911, 271, 13532, 267, 610, 476, 13136, 275, 269, 7830, 6550, 780, 20797, 1966, 692, 288, 4583, 1433, 540, 2852, 8039, 2366, 835, 540, 741, 4600, 547, 4432, 337, 1180, 2160, 547, 2268, 519, 2450, 540, 513, 2875, 18959, 4055, 269, 634, 14328, 4055, 568, 476, 279, 3952, 676, 476, 1321, 3952, 676, 476, 1321, 3952, 269, 1215, 1082, 12945, 3952, 568, 519, 18959, 4055, 2496, 6637, 476, 1321, 281, 519, 11973, 1062, 692, 11073, 2515, 519, 2136, 2276, 267, 1034, 540, 519, 1158, 3096, 519, 11973, 1062, 585, 5176, 1169, 1826, 540, 6482, 269, 634, 1770, 4408, 616, 11281, 630, 26319, 1070, 6121, 630, 21346, 264, 543, 2148, 630, 14179, 2541, 6393, 20099, 630, 13240, 264, 772, 2529, 269, 476, 272, 1984, 9014, 1496, 7825, 316, 476, 271, 269, 271, 4375, 4391, 538, 476, 272, 1298, 9014, 1496, 9492, 316, 476, 1015, 6515, 476, 271, 269, 4375, 274, 278, 538, 476, 272, 11281, 1496, 332, 316, 476, 1911, 4699, 476, 272, 269, 6021, 274, 277, 586, 323, 476, 272, 9481, 518, 1496, 14790, 316, 476, 1911, 271, 544, 476, 271, 269, 277, 2641, 275, 13304, 454, 9351, 630, 13240, 264, 772, 2529, 269, 476, 272, 13483, 4699, 1496, 9492, 273, 316, 476, 1911, 6515, 273, 476, 271, 269, 14028, 271, 538, 273, 476, 272, 13483, 544, 1496, 332, 273, 316, 476, 1015, 267, 1822, 4699, 273, 476, 272, 269, 3422, 271, 586, 323, 273, 476, 272, 20267, 732, 1496, 3873, 316, 476, 1015, 267, 1822, 544, 273, 476, 273, 269, 5325, 272, 272, 14143, 476, 272, 13483, 5998, 1496, 14790, 273, 316, 476, 1911, 688, 476, 271, 269, 4343, 277, 272, 13304, 273, 454, 11730, 270, 27519, 630, 13240, 264, 772, 2529, 269, 476, 272, 24140, 4699, 1496, 9492, 274, 316, 476, 271, 269, 6187, 272, 271, 538, 274, 476, 272, 24140, 1232, 9014, 1496, 323, 332, 274, 316, 476, 272, 267, 1822, 4699, 274, 476, 271, 269, 271, 3374, 274, 10264, 274, 476, 272, 24140, 11281, 1496, 332, 274, 316, 476, 272, 267, 1822, 546, 332, 274, 476, 272, 269, 28143, 271, 586, 323, 274, 476, 272, 2148, 1496, 331, 316, 476, 272, 546, 332, 274, 476, 273, 269, 13647, 5714, 28887, 454, 7136, 630, 13240, 264, 772, 2529, 269, 476, 272, 1984, 580, 1090, 1496, 16936, 316, 476, 271, 269, 27888, 275, 10286, 476, 272, 6121, 1496, 326, 316, 476, 272, 267, 1822, 8406, 476, 271, 269, 271, 3374, 274, 12063, 476, 272, 11304, 1496, 11899, 316, 476, 272, 267, 1822, 575, 476, 273, 269, 14225, 277, 18470, 692, 307, 17687, 692, 263, 272, 269, 279, 2608, 11019, 290, 3738, 1341, 476, 3953, 815, 11019, 293, 692, 269, 6321, 2608, 630, 4113, 293, 1107, 476, 3953, 264, 815, 11019, 290, 692, 20797, 1966, 692, 4407, 4974, 13383, 267, 3967, 564, 17566, 517, 729, 4280, 547, 3434, 1200, 3984, 1920, 12129, 269, 2701, 2115, 5111, 476, 274, 6550, 540, 8768, 547, 27106, 18397, 269, 4024, 513, 476, 272, 4846, 9126, 581, 2614, 286, 4208, 610, 1946, 711, 2496, 258, 1323, 7650, 540, 22186, 22220, 654, 1157, 5069, 779, 2048, 13043, 13088, 585, 4750, 1235, 16224, 11271, 1109, 276, 1700, 279, 692, 6637, 476, 276, 281, 1135, 3149, 543, 12220, 692, 2005, 568, 513, 27680, 779, 2816, 547, 948, 606, 5304, 1174, 519, 6111, 540, 1135, 3149, 543, 12220, 269, 2717, 3149, 616, 606, 7447, 540, 1857, 6644, 593, 513, 2582, 1888, 610, 2243, 780, 21691, 3149, 616, 1034, 4749, 1031, 538, 6214, 543, 1759, 593, 519, 11347, 5439, 269, 24028, 903, 616, 849, 1759, 593, 11347, 5439, 267, 855, 1331, 513, 21318, 540, 2055, 269, 1452, 616, 2356, 1031, 538, 519, 1514, 9443, 780, 21579, 7204, 692, 288, 4570, 3732, 568, 1804, 2614, 547, 2099, 519, 2551, 602, 568, 1373, 2808, 269, 15724, 9094, 2356, 13667, 585, 693, 2547, 476, 6110, 11042, 547, 1832, 519, 14345, 540, 5470, 1369, 11807, 7182, 780, 300, 1173, 514, 540, 5470, 6920, 519, 4110, 540, 6111, 540, 519, 1382, 1759, 593, 3044, 8155, 269, 12540, 514, 540, 5470, 568, 6829, 607, 513, 6871, 543, 568, 1759, 593, 519, 2450, 540, 513, 14477, 5697, 3732, 269, 12540, 514, 540, 5470, 4016, 547, 513, 6871, 540, 519, 4890, 1135, 1194, 1297, 267, 711, 519, 6871, 540, 519, 1267, 780, 18183, 2064, 1377, 568, 519, 1377, 610, 6871, 693, 799, 3173, 723, 6015, 538, 519, 2164, 540, 741, 1382, 780, 3849, 3286, 539, 5515, 616, 5515, 602, 616, 19250, 26203, 547, 22771, 585, 7508, 1239, 780, 313, 1606, 13990, 543, 512, 268, 8464, 692, 22711, 1235, 1058, 723, 513, 2596, 1620, 540, 1990, 1606, 13990, 543, 512, 1606, 13990, 267, 799, 616, 1419, 1031, 538, 8989, 519, 2164, 540, 2090, 269, 589, 1990, 1606, 14537, 267, 3006, 1572, 513, 3044, 6060, 267, 2982, 875, 1454, 513, 1880, 4137, 15320, 689, 519, 1611, 1384, 313, 6060, 815, 630, 3863, 6060, 1107, 1611, 264, 1315, 9208, 11539, 692, 763, 512, 1606, 14537, 267, 3006, 1572, 2875, 779, 512, 1673, 626, 9084, 267, 568, 5702, 1644, 547, 1990, 1606, 13990, 269, 634, 512, 1606, 14537, 568, 1031, 950, 519, 3732, 2450, 568, 1507, 267, 10199, 476, 1911, 610, 7864, 780, 20797, 9046, 692, 288, 9972, 15938, 10647, 4830, 1382, 693, 4432, 337, 1180, 2160, 6499, 547, 1265, 856, 875, 1082, 1053, 593, 13464, 7390, 930, 3909, 3028, 593, 513, 12353, 4493, 269, 8564, 835, 540, 519, 2947, 10386, 2409, 543, 17854, 707, 2626, 780, 19968, 3377, 568, 1419, 2462, 3377, 267, 543, 713, 10726, 2523, 18252, 513, 1390, 4308, 540, 2979, 269, 14066, 14078, 2356, 1867, 15271, 543, 2164, 10116, 569, 267, 1498, 811, 2143, 1344, 267, 1519, 2883, 6898, 267, 666, 581, 1336, 538, 5993, 5359, 780, 3682, 7257, 543, 2530, 692, 763, 7443, 543, 2530, 3948, 267, 4122, 1572, 623, 261, 299, 267, 2982, 2436, 513, 2754, 568, 1818, 2724, 676, 18946, 9276, 689, 4747, 269, 968, 21798, 540, 5370, 4421, 892, 4016, 547, 519, 1463, 13258, 513, 1870, 1651, 2720, 676, 1818, 610, 9140, 2472, 269, 968, 7021, 3650, 892, 4016, 547, 519, 9276, 711, 2047, 1644, 547, 519, 1587, 1373, 1500, 269, 634, 3017, 1063, 519, 968, 322, 739, 540, 5370, 4421, 892, 543, 519, 9513, 3902, 568, 2808, 519, 968, 326, 1484, 14345, 14325, 292, 289, 3951, 6395, 6763, 585, 968, 792, 940, 1354, 1719, 267, 9204, 267, 28595, 543, 993, 677, 1436, 892, 1107, 713, 568, 849, 1634, 607, 968, 6016, 1049, 6666, 2095, 14325, 294, 1484, 14345, 815, 9513, 3902, 1107, 1942, 540, 5370, 4421, 692, 294, 1484, 7443, 815, 14407, 14345, 2608, 1297, 540, 3688, 4421, 692, 15187, 7443, 815, 14407, 14345, 1107, 16841, 692, 25911, 766, 9212, 692, 288, 3666, 6656, 568, 513, 2854, 2883, 3948, 540, 513, 2754, 779, 7221, 267, 20824, 543, 9698, 269, 634, 10697, 2427, 540, 519, 3666, 6656, 2141, 11224, 519, 20824, 543, 9698, 2427, 269, 2667, 1115, 616, 2200, 11262, 676, 513, 2754, 602, 723, 930, 2804, 1871, 269, 7351, 7221, 1331, 6666, 267, 9541, 543, 824, 5277, 3688, 540, 1871, 269, 7043, 3856, 7221, 1331, 5656, 267, 5604, 11647, 267, 3092, 269, 24054, 1797, 519, 1871, 540, 519, 2754, 267, 543, 7363, 4016, 547, 519, 5411, 543, 23265, 9541, 538, 519, 2754, 267, 3854, 6589, 543, 824, 1644, 7221, 269, 9149, 3809, 616, 13800, 267, 971, 607, 519, 12029, 267, 602, 991, 547, 581, 6976, 693, 930, 824, 4266, 780, 10112, 1115, 815, 20824, 1341, 9698, 692, 305, 26559, 2079, 692, 305, 520, 3930, 616, 9273, 602, 19767, 543, 1870, 5411, 1031, 547, 6218, 519, 2754, 779, 6666, 3510, 267, 17438, 267, 5665, 4398, 543, 2344, 1871, 780, 14483, 5223, 815, 1699, 7221, 1315, 1699, 20824, 692, 30022, 5223, 568, 513, 28880, 5223, 602, 3800, 519, 2702, 540, 513, 2754, 547, 2743, 922, 1699, 20824, 609, 6666, 593, 1688, 780, 30022, 5223, 815, 6666, 1315, 1699, 20824, 692, 5719, 23336, 3562, 12431, 564, 5223, 568, 2147, 547, 1699, 5223, 267, 4849, 621, 2882, 782, 7221, 543, 782, 20824, 780, 5719, 23336, 3562, 12431, 564, 815, 2698, 7963, 1315, 9698, 692, 27987, 593, 2698, 7221, 568, 513, 20656, 5223, 602, 3800, 2132, 593, 519, 5092, 593, 782, 7221, 780, 27987, 593, 9698, 568, 513, 5506, 5223, 602, 3800, 547, 2132, 593, 519, 5092, 1500, 9698, 780, 27987, 593, 9698, 815, 2121, 4747, 1315, 9698, 692, 25820, 268, 792, 11789, 5223, 568, 513, 1871, 5223, 602, 3800, 519, 2132, 540, 519, 5092, 1759, 593, 6006, 3902, 780, 25820, 268, 792, 11789, 815, 2344, 3902, 1315, 15271, 692, 20797, 9046, 692, 14976, 337, 1180, 2160, 1207, 903, 476, 272, 267, 4335, 1668, 515, 3149, 540, 12566, 12450, 689, 12567, 345, 1733, 3421, 1446, 3213, 269, 693, 8096, 276, 513, 9522, 269, 4432, 337, 1180, 3096, 476, 8517, 1668, 515, 3149, 547, 2226, 922, 29814, 2095, 8538, 2644, 269, 5518, 700, 2086, 3019, 6499, 547, 1205, 7759, 540, 519, 4430, 12566, 12450, 269, 1261, 3091, 621, 547, 8899, 8672, 2160, 585, 8096, 1428, 513, 1668, 3559, 269, 8899, 8672, 814, 2141, 25343, 4432, 337, 1180, 2160, 779, 9120, 6492, 538, 10841, 7497, 543, 19914, 569, 24693, 269, 1548, 729, 4432, 337, 1180, 779, 14407, 14345, 593, 519, 9042, 2496, 6637, 476, 278, 281, 13632, 543, 7554, 692, 1805, 4169, 692, 290, 2734, 725, 6133, 13632, 547, 6318, 6666, 267, 543, 1004, 4444, 13632, 607, 9541, 269, 1879, 606, 1367, 1207, 903, 513, 2671, 540, 6006, 538, 513, 2754, 267, 646, 610, 1352, 3587, 513, 9864, 8227, 540, 602, 2754, 269, 634, 1871, 540, 519, 2754, 779, 6006, 9775, 1759, 593, 922, 3747, 780, 300, 583, 783, 7482, 616, 606, 4244, 1259, 547, 1902, 538, 13632, 269, 23688, 783, 2508, 3549, 6133, 8843, 540, 7482, 267, 543, 1287, 946, 602, 2724, 547, 4444, 6006, 538, 824, 3549, 780, 6124, 4944, 3639, 3335, 15476, 513, 6006, 3349, 269, 769, 513, 6006, 3349, 267, 968, 15965, 892, 4564, 519, 1034, 2487, 5993, 26318, 602, 519, 2754, 6976, 547, 23265, 267, 968, 14154, 892, 4564, 519, 3902, 270, 792, 11789, 5223, 267, 968, 18431, 892, 4564, 519, 3902, 540, 835, 2671, 693, 519, 1439, 540, 519, 3105, 1554, 267, 543, 968, 4219, 892, 4564, 875, 1454, 519, 6006, 3902, 4682, 909, 610, 1524, 602, 1554, 780, 289, 4637, 692, 288, 6125, 568, 513, 10211, 689, 606, 20090, 547, 519, 2229, 610, 1776, 3919, 9513, 519, 6125, 269, 9521, 13632, 267, 7554, 7118, 1719, 693, 513, 1305, 2557, 543, 616, 3622, 1970, 1981, 9541, 269, 634, 3068, 1871, 540, 519, 6125, 568, 519, 2179, 602, 519, 6125, 14516, 786, 4309, 693, 15657, 269, 634, 1871, 540, 519, 6125, 593, 519, 1930, 2344, 11385, 919, 609, 3761, 543, 3747, 269, 634, 7554, 1699, 6556, 568, 922, 2132, 593, 519, 5092, 267, 799, 4061, 849, 11385, 919, 780, 14483, 6556, 815, 630, 15517, 2557, 2608, 3068, 1871, 264, 1315, 3902, 692, 289, 1180, 1942, 568, 519, 4890, 1942, 540, 513, 6125, 9783, 676, 513, 3818, 13109, 780, 289, 1180, 1942, 630, 15517, 264, 815, 2179, 2608, 2557, 2608, 1296, 692, 15812, 564, 30455, 692, 1805, 1442, 30455, 3950, 519, 3902, 540, 1978, 2516, 540, 26852, 267, 3850, 9520, 547, 1205, 513, 25135, 14653, 540, 2949, 2344, 2175, 269, 22337, 13643, 1299, 3213, 269, 568, 2111, 547, 1683, 513, 25135, 14653, 540, 519, 3003, 6006, 2344, 676, 5464, 519, 1871, 540, 476, 1789, 1883, 13632, 780, 2793, 306, 6395, 304, 568, 606, 27099, 585, 519, 2817, 5948, 540, 1530, 15247, 20958, 619, 14825, 730, 2372, 582, 725, 269, 898, 568, 513, 13564, 10706, 540, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6012, 268, 272, 316, 476, 23989, 419, 353, 374, 14756, 497, 31563, 421, 505, 484, 7511, 31006, 12571, 492, 22047, 30317, 27381, 510, 7511, 9463, 367, 25060, 374, 25426, 368, 267, 954, 314, 271, 316, 23989, 419, 353, 374, 13161, 364, 20693, 510, 24662, 7511, 25060, 374, 25426, 368, 7511, 26266, 355, 25060, 374, 25426, 368, 267, 13127, 28187, 31563, 9463, 367, 16533, 493, 30678, 26266, 355, 267, 476, 10254, 503, 28786, 23989, 30244, 15159, 22047, 13161, 364, 7511, 25060, 374, 25426, 368, 267, 28859, 506, 478, 28884, 418, 371, 375, 20693, 510, 13213, 505, 23521, 354, 454, 2018, 952, 7003, 263, 637, 264, 2652, 476, 271, 610, 759, 15631, 272, 6012, 268, 272, 316, 2999, 954, 314, 271, 14158, 3546, 759, 6910, 263, 5793, 994, 2018, 3116, 912, 3546, 759, 15631, 272, 6012, 268, 272, 316, 815, 3193, 263, 637, 15631, 272, 6012, 268, 272, 3910, 954, 314, 272, 8079, 476, 1948, 476, 12571, 486, 23946, 370, 9463, 367, 25060, 374, 25426, 368, 267, 13127, 28187, 31563, 13161, 364, 418, 371, 375, 20693, 510, 7511, 25060, 374, 25426, 368, 7511, 9463, 367, 25060, 374, 25426, 368, 418, 505, 368, 27962, 7511, 13644, 507, 267, 476, 10254, 503, 20881, 487, 418, 489, 358, 418, 505, 368, 27962, 7511, 421, 480, 352, 14748, 454, 1038, 2132, 759, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1210, 26850, 563, 27026, 11242, 454, 8196, 519, 2048, 1015, 547, 476, 2004, 4161, 685, 538, 3829, 1966, 9010, 7634, 2630, 607, 2221, 779, 1895, 2534, 563, 7775, 267, 946, 891, 2238, 912, 734, 623, 4202, 3014, 267, 12805, 2338, 609, 7222, 1297, 6125, 547, 476, 1015, 563, 734, 6258, 513, 1297, 6125, 5152, 269, 2422, 1297, 7554, 547, 1711, 1297, 5220, 780, 2162, 1411, 4024, 10261, 692, 1892, 594, 310, 289, 610, 16212, 24577, 454, 1892, 14210, 7470, 630, 5408, 2200, 994, 1892, 6076, 1562, 543, 12217, 454, 1892, 7089, 6486, 476, 271, 268, 1015, 610, 476, 271, 268, 736, 454, 1892, 9995, 22245, 543, 29950, 3046, 454, 1892, 4147, 1305, 540, 476, 1911, 29950, 12673, 454, 1892, 7089, 6486, 476, 274, 268, 279, 454, 1892, 22387, 22554, 15236, 543, 23445, 454, 1892, 7089, 5220, 2854, 593, 17446, 540, 1957, 454, 1892, 476, 272, 268, 1911, 1297, 7470, 630, 5408, 2200, 994, 1892, 21311, 8038, 454, 1892, 16952, 2534, 9212, 630, 5408, 2200, 2020, 2162, 10076, 23860, 1537, 13174, 10060, 1562, 692, 21196, 476, 272, 454, 303, 4202, 547, 476, 1015, 630, 2181, 3146, 638, 15363, 1983, 2020, 21196, 476, 273, 454, 15812, 2338, 593, 513, 476, 1911, 7470, 630, 2181, 3146, 638, 15363, 1983, 2020, 22296, 2248, 539, 585, 4303, 476, 274, 454, 29002, 476, 1015, 338, 547, 476, 273, 18251, 2338, 630, 13678, 1067, 532, 1983, 2020, 2162, 6096, 692, 21196, 476, 272, 454, 28415, 519, 7508, 1297, 6125, 547, 476, 1015, 269, 15012, 8424, 547, 476, 1015, 563, 28415, 519, 7508, 1297, 7554, 547, 476, 1015, 543, 476, 736, 269, 15012, 8424, 547, 476, 736, 780, 21196, 476, 273, 454, 24280, 875, 1082, 811, 991, 547, 581, 3773, 547, 1118, 519, 1985, 476, 1015, 780, 21196, 476, 274, 454, 11328, 13133, 513, 3046, 2203, 547, 960, 856, 519, 9148, 547, 476, 736, 563, 11328, 13133, 513, 3046, 2203, 547, 960, 856, 519, 9148, 547, 519, 1985, 2789, 540, 476, 1015, 630, 11133, 1499, 547, 476, 3445, 6393, 2162, 9457, 344, 281, 25705, 543, 9046, 4149, 6295, 692, 1892, 13159, 1142, 4845, 912, 276, 1341, 29477, 494, 815, 476, 1015, 454, 26926, 494, 1341, 476, 277, 815, 476, 1015, 454, 1015, 815, 476, 272, 1341, 29477, 494, 454, 274, 1341, 29477, 494, 815, 476, 1015, 454, 26926, 494, 1341, 476, 273, 815, 476, 1015, 454, 278, 815, 476, 1015, 1107, 29477, 494, 454, 1892, 476, 1015, 3165, 941, 538, 519, 4262, 269, 589, 16356, 17696, 476, 275, 269, 1215, 1082, 3165, 2451, 888, 1892, 476, 1015, 13733, 941, 538, 519, 1357, 269, 30064, 17696, 476, 274, 269, 1215, 1082, 1631, 888, 1892, 6936, 610, 7301, 888, 29002, 476, 273, 547, 2338, 10678, 538, 476, 279, 2141, 3947, 513, 2048, 1015, 338, 685, 1297, 454, 275, 1447, 982, 1022, 476, 1015, 338, 1297, 568, 513, 1297, 10678, 538, 476, 278, 563, 288, 1297, 10678, 538, 476, 276, 568, 2141, 28870, 1063, 1079, 476, 1015, 338, 2338, 780, 1103, 3829, 27148, 281, 476, 1015, 547, 476, 2004, 7420, 454, 14399, 19509, 526, 799, 2338, 789, 666, 1039, 14578, 547, 476, 1015, 547, 2244, 4010, 593, 476, 2004, 780, 2162, 23448, 8081, 692, 288, 342, 13135, 623, 4202, 547, 476, 1015, 454, 23804, 8424, 799, 1118, 476, 1015, 692, 1012, 5149, 476, 273, 5410, 676, 28043, 476, 1015, 1210, 1297, 7554, 630, 24175, 2248, 539, 607, 476, 273, 2395, 2020, 2162, 20505, 692, 11754, 676, 28043, 476, 1015, 1210, 1297, 7554, 547, 476, 1015, 454, 16215, 476, 273, 281, 9517, 258, 476, 9965, 278, 692, 13233, 15099, 692, 295, 15071, 20505, 454, 278, 269, 5700, 1297, 7554, 547, 476, 1015, 267, 552, 3052, 269, 476, 276, 1341, 476, 276, 267, 476, 277, 1341, 476, 275, 267, 3092, 269, 4746, 917, 1018, 568, 2451, 952, 3615, 616, 3144, 689, 476, 1015, 267, 552, 3052, 269, 476, 1015, 11263, 267, 16784, 1524, 476, 275, 267, 3762, 476, 277, 7555, 563, 1015, 269, 13876, 1047, 519, 1341, 543, 1107, 543, 815, 4191, 267, 543, 946, 891, 547, 1224, 543, 2328, 2241, 23937, 543, 10208, 687, 563, 1321, 269, 16534, 7508, 1297, 2042, 543, 1840, 4882, 889, 339, 3555, 2042, 538, 1297, 2984, 780, 2162, 12020, 543, 11242, 692, 21196, 476, 272, 9752, 454, 27026, 11242, 454, 734, 5410, 1079, 2582, 7857, 2338, 676, 28043, 476, 1015, 267, 1210, 2901, 513, 29950, 5569, 267, 581, 12184, 1899, 610, 1297, 7470, 780, 21196, 476, 273, 9752, 454, 17004, 1453, 513, 476, 272, 268, 1911, 1297, 7470, 543, 26850, 269, 3816, 785, 873, 602, 26850, 666, 1118, 513, 2110, 8184, 547, 519, 1985, 476, 1015, 689, 1022, 1297, 269, 23227, 622, 4946, 476, 276, 547, 476, 1839, 1210, 26850, 269, 3973, 2203, 4946, 476, 276, 547, 476, 1704, 267, 1210, 26850, 547, 979, 547, 476, 736, 1101, 267, 543, 1287, 10203, 593, 476, 273, 811, 269, 16680, 281, 476, 1704, 1341, 476, 276, 815, 476, 2420, 269, 1684, 596, 1294, 875, 649, 10816, 3022, 476, 736, 267, 513, 476, 1015, 338, 1297, 286, 19244, 585, 476, 2764, 1341, 476, 277, 543, 476, 3607, 1341, 476, 276, 563, 27026, 11242, 454, 734, 12433, 23937, 267, 28043, 513, 476, 1015, 338, 1297, 1210, 26850, 780, 21196, 476, 274, 9752, 454, 8196, 513, 476, 1911, 29950, 3046, 547, 1397, 1453, 476, 3607, 1341, 476, 276, 267, 606, 1840, 28043, 476, 1015, 269, 3973, 1865, 875, 649, 666, 21028, 952, 606, 1840, 786, 991, 547, 3444, 513, 476, 1015, 338, 1297, 269, 19244, 585, 476, 6872, 1341, 476, 275, 543, 476, 3374, 1341, 476, 278, 269, 7844, 5373, 554, 3591, 585, 476, 3374, 1341, 476, 278, 593, 513, 581, 12184, 1899, 563, 27026, 11242, 454, 8196, 519, 2048, 291, 823, 547, 476, 1015, 685, 538, 3829, 1966, 9010, 7634, 2630, 607, 2221, 779, 1895, 2534, 563, 7775, 267, 946, 891, 2238, 912, 734, 32341, 2436, 23937, 786, 3444, 513, 476, 1015, 338, 1297, 282, 4990, 563, 734, 8073, 543, 4990, 1297, 5220, 267, 14045, 2436, 789, 786, 3444, 513, 476, 1015, 338, 1297, 610, 711, 780, 2162, 1411, 4024, 10261, 692, 1892, 4147, 1305, 540, 476, 1911, 29950, 12673, 454, 1892, 476, 271, 268, 736, 581, 12184, 1899, 630, 5408, 2200, 994, 1892, 476, 272, 268, 1911, 1297, 7470, 630, 5408, 2200, 994, 1892, 21311, 8038, 543, 27669, 454, 1892, 7089, 4845, 6486, 630, 5408, 2200, 994, 1892, 4469, 760, 24577, 454, 1892, 16952, 4199, 9212, 630, 5408, 2200, 994, 1892, 2349, 1678, 17446, 540, 1957, 11305, 1841, 692, 2162, 10076, 23860, 1537, 13174, 10060, 1562, 692, 21196, 476, 272, 454, 303, 4202, 547, 476, 1015, 630, 2181, 3146, 638, 15363, 1983, 2020, 21196, 476, 273, 454, 10831, 7554, 547, 476, 1015, 630, 2181, 3146, 638, 15363, 1983, 2020, 22296, 2248, 539, 585, 4303, 476, 274, 454, 5938, 839, 2338, 630, 13678, 1067, 532, 1983, 2020, 2162, 6096, 692, 21196, 476, 272, 454, 8196, 1297, 7554, 547, 948, 1039, 547, 519, 1985, 476, 1015, 543, 3564, 281, 4267, 2999, 3374, 780, 21196, 476, 273, 454, 8196, 1297, 7554, 547, 476, 1015, 547, 4194, 23937, 676, 28043, 476, 1015, 338, 780, 21196, 476, 274, 454, 16521, 1297, 5220, 547, 4194, 1210, 1297, 7554, 547, 8115, 476, 1015, 338, 780, 2162, 9457, 344, 281, 25705, 543, 9046, 4149, 6295, 692, 2237, 519, 2040, 26850, 1281, 1354, 3257, 1142, 540, 891, 23937, 269, 634, 1101, 835, 568, 2944, 585, 596, 563, 3607, 1341, 476, 277, 815, 29477, 494, 454, 293, 569, 1281, 476, 3607, 1341, 476, 275, 815, 476, 2412, 454, 10190, 1341, 273, 269, 476, 3607, 1341, 476, 277, 815, 476, 5655, 692, 4366, 1341, 476, 275, 815, 29477, 494, 454, 293, 569, 1281, 476, 4366, 1341, 29477, 494, 815, 29477, 494, 454, 10190, 1341, 26926, 494, 269, 476, 4366, 1341, 476, 275, 815, 29477, 494, 692, 6872, 1341, 476, 276, 815, 29477, 494, 454, 293, 569, 1281, 476, 6872, 1341, 29477, 494, 815, 29477, 494, 454, 10190, 1341, 26926, 494, 269, 476, 6872, 1341, 476, 276, 815, 29477, 494, 692, 1839, 1341, 476, 278, 815, 29477, 494, 454, 293, 569, 1281, 476, 1839, 1341, 29477, 494, 815, 29477, 494, 454, 10190, 1341, 29477, 494, 269, 476, 1839, 1341, 476, 278, 815, 29477, 494, 692, 4375, 1341, 476, 274, 815, 29477, 494, 454, 293, 569, 1281, 476, 4375, 1341, 29477, 494, 815, 29477, 494, 454, 10190, 1341, 26926, 494, 269, 476, 4375, 1341, 476, 274, 815, 29477, 494, 692, 1103, 3829, 27148, 281, 667, 823, 547, 476, 1015, 454, 14399, 5066, 513, 6292, 540, 18062, 547, 5352, 476, 273, 18251, 2338, 543, 1589, 799, 1931, 789, 991, 547, 946, 519, 9704, 865, 602, 519, 9148, 547, 519, 1985, 2789, 540, 476, 1015, 568, 593, 519, 18062, 780, 2162, 23448, 8081, 692, 7069, 20712, 590, 4548, 454, 23804, 875, 1082, 811, 616, 2877, 547, 1118, 476, 1015, 692, 1012, 5149, 476, 274, 15167, 476, 1015, 547, 10208, 609, 1297, 7554, 630, 24175, 2248, 539, 607, 476, 273, 2395, 2020, 2162, 20505, 692, 8138, 339, 847, 676, 28043, 476, 1015, 1210, 1297, 7554, 547, 476, 1015, 454, 16215, 476, 274, 281, 9517, 258, 476, 8687, 272, 692, 13233, 15099, 692, 295, 15071, 20505, 454, 278, 269, 5700, 1297, 7554, 547, 476, 1015, 267, 552, 3052, 269, 476, 276, 1341, 476, 276, 267, 476, 277, 1341, 476, 275, 267, 3092, 269, 4746, 917, 1018, 568, 2451, 952, 3615, 616, 3144, 689, 476, 1015, 267, 552, 3052, 269, 476, 1015, 11263, 267, 16784, 1524, 476, 275, 267, 3762, 476, 277, 7555, 563, 1015, 269, 13876, 1047, 519, 1341, 543, 1107, 543, 815, 4191, 267, 543, 946, 891, 547, 1224, 543, 2328, 2241, 23937, 543, 10208, 687, 780, 2162, 12020, 543, 11242, 692, 21196, 476, 272, 9752, 454, 17004, 476, 1428, 19273, 269, 1548, 568, 476, 1428, 10208, 476, 276, 286, 13531, 602, 649, 991, 547, 1491, 2476, 476, 276, 19273, 269, 1684, 649, 991, 547, 1293, 1394, 286, 3143, 256, 1284, 666, 1491, 476, 276, 689, 476, 1428, 1510, 3257, 1022, 10203, 256, 8058, 602, 649, 666, 946, 713, 547, 798, 476, 1428, 1107, 476, 279, 269, 3689, 649, 10208, 476, 276, 630, 1729, 1205, 547, 476, 1015, 264, 1287, 649, 1491, 2476, 1776, 476, 274, 269, 1684, 649, 917, 476, 1015, 1107, 476, 274, 286, 8786, 256, 16680, 476, 1428, 1107, 476, 279, 815, 476, 278, 269, 19244, 585, 476, 1691, 1107, 476, 277, 267, 476, 1724, 1107, 476, 278, 543, 476, 1704, 1107, 476, 280, 563, 27026, 11242, 454, 734, 2422, 1747, 1871, 543, 1297, 7554, 547, 5173, 10208, 687, 267, 28043, 476, 1015, 780, 21196, 476, 273, 9752, 454, 17004, 1453, 513, 29950, 3046, 269, 2422, 713, 547, 2203, 476, 1321, 1107, 476, 276, 543, 1287, 476, 1724, 1107, 476, 275, 269, 769, 1142, 2013, 1397, 1453, 875, 649, 666, 3077, 519, 476, 1015, 267, 1287, 946, 1297, 7554, 547, 798, 519, 2034, 851, 269, 8571, 3268, 593, 513, 476, 271, 268, 736, 581, 12184, 1899, 269, 22365, 4403, 676, 3257, 476, 1691, 1107, 476, 276, 543, 476, 1691, 1107, 476, 277, 563, 27026, 11242, 454, 734, 16265, 847, 267, 13389, 476, 1015, 267, 1210, 513, 19506, 539, 1297, 1899, 780, 21196, 476, 274, 9752, 454, 303, 6974, 930, 10208, 687, 593, 6486, 267, 552, 3052, 269, 476, 1556, 1107, 476, 274, 267, 476, 1556, 1107, 476, 277, 267, 476, 1428, 1107, 476, 274, 267, 476, 1428, 1107, 476, 277, 267, 476, 1724, 1107, 476, 273, 267, 476, 1724, 1107, 476, 275, 267, 476, 1626, 1107, 476, 274, 267, 476, 1428, 1107, 476, 277, 267, 476, 1428, 1107, 476, 275, 269, 6904, 798, 596, 1589, 786, 723, 606, 2626, 811, 982, 476, 1015, 286, 9181, 609, 1453, 875, 789, 666, 2995, 269, 1548, 798, 649, 1413, 693, 286, 1772, 519, 1297, 1373, 3144, 2476, 3677, 610, 4130, 982, 519, 476, 272, 338, 7857, 538, 519, 12322, 1297, 286, 1879, 649, 666, 1294, 519, 2626, 568, 2469, 547, 581, 1447, 982, 476, 1015, 267, 649, 666, 946, 2048, 307, 13759, 519, 476, 1015, 9957, 1284, 666, 1289, 713, 570, 1015, 585, 2110, 269, 1403, 519, 2626, 568, 2469, 547, 581, 811, 982, 476, 1015, 267, 649, 666, 1293, 1394, 610, 946, 513, 1297, 1249, 547, 948, 563, 27026, 11242, 454, 8196, 519, 538, 3829, 1966, 9010, 7634, 2048, 303, 4202, 540, 2338, 685, 689, 715, 30278, 295, 607, 2221, 779, 1895, 2534, 563, 7775, 267, 946, 891, 2238, 912, 734, 24305 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1344, 827, 3595, 13623, 543, 23001, 7660, 543, 1753, 3595, 28896, 538, 476, 1708, 271, 563, 14454, 267, 1004, 2713, 538, 476, 2641, 2829, 543, 519, 10588, 540, 12052, 1185, 513, 2362, 1981, 540, 12955, 538, 513, 3595, 538, 476, 1001, 279, 982, 519, 772, 2529, 269, 2489, 2551, 269, 14967, 609, 513, 3448, 1981, 540, 476, 273, 269, 277, 1291, 519, 1895, 4553, 676, 20274, 630, 273, 269, 273, 1040, 4658, 2713, 538, 21086, 941, 476, 2568, 260, 1447, 2693, 547, 5884, 538, 513, 3595, 982, 519, 2489, 2551, 563, 265, 25824, 919, 2829, 1141, 3448, 1981, 729, 711, 17223, 1813, 547, 1360, 1507, 2338, 540, 3595, 7972, 630, 325, 1168, 518, 982, 476, 1015, 7972, 1916, 347, 13750, 540, 12769, 584, 5270, 1475, 9824, 894, 11485, 2008, 347, 18850, 2774, 540, 12052, 1475, 272, 269, 274, 2008, 347, 13750, 540, 12769, 584, 5270, 1475, 27852, 12280, 338, 1475, 27852, 12280, 15580, 1475, 9824, 894, 11485, 2008, 347, 18850, 2774, 540, 12052, 1262, 1475, 1556, 1475, 1428, 269, 278, 1475, 272, 269, 274, 2008, 763, 2949, 7678, 538, 519, 3595, 2669, 2557, 540, 1453, 6502, 476, 271, 547, 476, 1691, 8519, 476, 1691, 260, 1282, 476, 1220, 280, 268, 1001, 279, 543, 519, 3448, 1981, 540, 12955, 538, 513, 3595, 729, 1447, 982, 602, 540, 519, 2489, 2551, 269, 769, 476, 1001, 279, 267, 519, 3448, 1981, 540, 12955, 538, 513, 3595, 585, 1453, 6502, 476, 1691, 543, 896, 729, 476, 2004, 260, 1447, 982, 602, 540, 519, 2489, 2551, 563, 347, 17413, 1475, 10831, 540, 9605, 12280, 338, 12698, 476, 271, 547, 476, 1691, 1475, 16954, 1637, 1475, 27852, 12280, 15580, 630, 704, 2929, 2551, 10534, 9824, 894, 11485, 2008, 347, 1015, 268, 17413, 7066, 526, 630, 8472, 1475, 268, 1724, 269, 277, 260, 2008, 7212, 519, 3448, 1981, 540, 12955, 538, 513, 3595, 538, 476, 1001, 279, 585, 1453, 896, 519, 2085, 540, 476, 276, 729, 2539, 982, 519, 2949, 772, 2529, 269, 2551, 267, 1453, 6502, 476, 271, 547, 476, 275, 1185, 519, 5207, 3595, 2669, 3928, 3379, 547, 1453, 540, 782, 6502, 543, 267, 607, 513, 1267, 267, 1185, 513, 2362, 3448, 1981, 540, 12955, 538, 513, 3595, 3379, 547, 4587, 1453, 563, 763, 3595, 2669, 2557, 7678, 585, 1762, 1453, 8519, 476, 3451, 260, 936, 519, 476, 1015, 4458, 1974, 540, 476, 1220, 280, 268, 1001, 279, 269, 13405, 547, 476, 1220, 277, 267, 519, 3595, 2669, 2557, 585, 1762, 1453, 729, 5594, 2362, 982, 519, 2489, 2551, 269, 3245, 476, 1220, 280, 547, 476, 1001, 279, 267, 519, 3595, 2669, 3928, 540, 1453, 6502, 476, 275, 543, 7820, 941, 1447, 982, 602, 540, 519, 2489, 2551, 269, 901, 7771, 949, 581, 11911, 267, 538, 851, 267, 547, 606, 2333, 538, 1857, 3595, 2069, 543, 6604, 3646, 563, 2690, 476, 1001, 279, 267, 519, 3448, 1981, 540, 12955, 538, 513, 3595, 585, 519, 21836, 1453, 729, 476, 1789, 260, 2539, 982, 602, 540, 519, 2489, 2551, 267, 855, 476, 1015, 260, 2362, 982, 621, 729, 538, 476, 1001, 278, 950, 519, 3448, 1981, 729, 476, 271, 269, 277, 7972, 829, 2929, 2551, 2443, 519, 9803, 3448, 1981, 585, 713, 2085, 1895, 936, 519, 476, 1015, 4458, 1974, 563, 347, 17413, 1475, 10831, 540, 9605, 12280, 338, 12698, 476, 271, 547, 476, 275, 1475, 16954, 1637, 1475, 27852, 12280, 15580, 630, 704, 2929, 2551, 10534, 9824, 894, 11485, 2008, 347, 1015, 268, 17413, 7066, 526, 630, 8472, 1475, 268, 3953, 269, 280, 260, 2008, 763, 3595, 2669, 2557, 7678, 585, 1453, 6502, 476, 276, 547, 476, 280, 2799, 476, 280, 260, 936, 519, 476, 1015, 4458, 1974, 269, 769, 476, 1001, 279, 267, 519, 3448, 1981, 540, 12955, 538, 513, 3595, 585, 713, 1895, 729, 476, 2004, 260, 1447, 982, 602, 540, 519, 2489, 2551, 563, 347, 17413, 1475, 10831, 540, 9605, 12280, 338, 12698, 476, 276, 547, 476, 280, 1475, 16954, 1637, 1475, 27852, 12280, 15580, 630, 704, 2929, 2551, 10534, 9824, 894, 11485, 2008, 347, 1015, 268, 17413, 7066, 526, 630, 8472, 1475, 266, 280, 269, 273, 260, 2008, 5804, 476, 1220, 280, 547, 476, 1001, 279, 267, 519, 3595, 2669, 2557, 7678, 2799, 476, 736, 260, 585, 1453, 6502, 476, 1015, 547, 476, 1691, 269, 769, 476, 1001, 279, 267, 2705, 267, 519, 3448, 1981, 540, 12955, 538, 513, 3595, 585, 1453, 540, 713, 2085, 1895, 729, 476, 3583, 260, 1447, 982, 602, 540, 519, 2489, 2551, 607, 621, 849, 729, 538, 476, 1001, 277, 543, 476, 1001, 278, 269, 4014, 519, 7678, 538, 519, 3595, 2669, 2557, 814, 2799, 585, 1453, 540, 713, 2085, 1895, 267, 789, 1869, 723, 519, 9803, 3448, 1981, 540, 12955, 538, 513, 3595, 3379, 547, 7820, 1453, 563, 347, 17413, 1475, 10831, 540, 9605, 12280, 338, 12698, 476, 1015, 547, 476, 1691, 1475, 16954, 1637, 1475, 27852, 12280, 15580, 630, 704, 2929, 2551, 10534, 9824, 894, 11485, 2008, 347, 1015, 268, 17413, 7066, 526, 630, 8472, 1475, 266, 866, 269, 279, 260, 2008, 763, 3595, 2669, 2557, 7678, 585, 4587, 4079, 630, 1137, 476, 4792, 543, 4587, 264, 2799, 676, 1447, 982, 835, 2600, 630, 271, 269, 272, 8472, 689, 476, 1220, 280, 268, 1001, 279, 269, 769, 476, 1001, 279, 267, 519, 3595, 2669, 2557, 585, 1004, 538, 713, 2085, 1895, 729, 476, 1789, 269, 275, 7972, 829, 2929, 2551, 2443, 519, 5207, 3595, 2669, 2557, 936, 519, 476, 1015, 1296, 269, 634, 4587, 2937, 2551, 8188, 519, 6574, 3448, 1981, 540, 12955, 538, 513, 3595, 269, 769, 476, 1001, 279, 267, 519, 3448, 1981, 540, 12955, 538, 513, 3595, 585, 4587, 4079, 729, 476, 273, 269, 277, 2053, 2362, 982, 602, 540, 519, 2551, 607, 513, 2898, 563, 347, 17413, 1475, 10831, 540, 9605, 12280, 338, 12698, 476, 4792, 543, 3683, 1475, 16954, 1637, 1475, 27852, 12280, 15580, 630, 704, 2929, 2551, 10534, 9824, 894, 11485, 2008, 347, 1015, 268, 17413, 7066, 526, 630, 8472, 1475, 266, 271, 269, 272, 260, 2008, 763, 7678, 538, 3595, 2669, 2557, 585, 4587, 4079, 6502, 476, 4792, 547, 476, 10619, 2799, 476, 1626, 260, 936, 519, 476, 1015, 4458, 1974, 269, 769, 476, 1001, 279, 267, 519, 3595, 2669, 2557, 585, 1004, 538, 713, 2085, 1895, 729, 476, 1839, 269, 275, 7972, 829, 2929, 2551, 2443, 519, 5207, 3595, 2669, 2557, 936, 519, 476, 1015, 1296, 269, 769, 476, 1001, 279, 267, 4587, 4079, 630, 1137, 476, 4792, 547, 476, 10619, 264, 1185, 476, 273, 269, 273, 2053, 519, 1981, 540, 12955, 538, 513, 3595, 982, 519, 2489, 2551, 563, 347, 17413, 1475, 10831, 540, 9605, 12280, 338, 12698, 476, 4792, 547, 476, 10619, 1475, 16954, 1637, 1475, 27852, 12280, 15580, 630, 704, 2929, 2551, 10534, 9824, 894, 11485, 2008, 347, 1015, 268, 17413, 7066, 526, 630, 8472, 1475, 266, 1626, 269, 272, 260, 2008, 763, 3595, 2669, 2557, 7678, 585, 4587, 4079, 6502, 476, 4037, 547, 476, 10019, 8519, 476, 273, 260, 936, 519, 476, 1015, 4458, 1974, 269, 769, 476, 1001, 279, 267, 2043, 538, 713, 2085, 1895, 941, 476, 273, 269, 280, 2053, 811, 2693, 547, 5884, 538, 513, 3595, 982, 519, 2489, 2551, 563, 347, 17413, 1475, 10831, 540, 9605, 12280, 338, 6520, 476, 4037, 268, 10019, 1475, 16954, 1637, 1475, 27852, 12280, 15580, 630, 704, 2929, 2551, 10534, 9824, 894, 11485, 2008, 347, 1015, 268, 17413, 7066, 526, 630, 8472, 1475, 268, 273, 269, 275, 260, 2008, 3849, 6699, 6502, 476, 5952, 543, 4587, 4718, 519, 4102, 6175, 538, 3595, 2669, 2557, 3466, 689, 476, 1220, 280, 547, 476, 1001, 279, 267, 609, 513, 7771, 540, 476, 1691, 10065, 24771, 4079, 540, 713, 2085, 1895, 267, 2705, 267, 1185, 519, 5207, 3595, 2669, 3928, 1851, 519, 2489, 2551, 607, 513, 2898, 543, 267, 607, 513, 1267, 267, 941, 693, 519, 5207, 1981, 540, 12955, 538, 513, 3595, 269, 769, 476, 1001, 279, 267, 2043, 6502, 476, 5952, 543, 936, 941, 476, 274, 269, 279, 2053, 811, 2693, 547, 5884, 538, 513, 3595, 982, 519, 2489, 2551, 267, 1247, 1346, 4079, 6502, 476, 4792, 547, 476, 10619, 941, 1152, 476, 273, 269, 273, 2053, 811, 2693, 547, 7985, 3595, 5829, 7972, 563, 347, 17413, 1475, 10831, 540, 9605, 12280, 338, 12698, 476, 5952, 543, 24771, 1475, 16954, 1637, 1475, 27852, 12280, 15580, 630, 704, 2929, 2551, 10534, 9824, 894, 11485, 2008, 347, 1015, 268, 17413, 7066, 526, 630, 8472, 1475, 268, 1724, 269, 276, 260, 347, 0, 2252, 2576, 5143, 596, 972, 729, 606, 10097, 267, 23431, 1587, 602, 1223, 2569, 1648, 543, 1216, 4616, 267, 543, 960, 607, 606, 10357, 7888, 4244, 547, 11067, 28052, 550, 267, 596, 8910, 4440, 1589, 621, 779, 1932, 1434, 547, 581, 3020, 269, 1656, 2687, 547, 2090, 676, 8863, 302, 21201, 267, 596, 1522, 1175, 581, 1318, 563, 299, 25423, 11067, 11084, 2039, 689, 1472, 1269, 279, 547, 1269, 5611, 267, 543, 972, 616, 3063, 341, 698, 656, 6811, 827, 741, 7738, 1379, 267, 2883, 543, 2825, 2640, 269, 1703, 616, 15554, 657, 7220, 6811, 267, 5667, 6269, 9285, 676, 1382, 267, 1247, 1866, 21179, 622, 2640, 269, 1717, 267, 9755, 10355, 3858, 593, 875, 891, 11067, 11084, 960, 563, 5278, 540, 891, 9277, 2640, 949, 581, 6045, 676, 519, 7344, 3350, 540, 519, 3440, 3294, 267, 4543, 547, 4894, 930, 2010, 540, 25859, 269, 634, 5528, 593, 11067, 3440, 21168, 1419, 1289, 585, 3905, 1216, 267, 799, 17591, 338, 824, 6811, 602, 891, 11084, 786, 2569, 1648, 6165, 563, 310, 4770, 11084, 27581, 2270, 2472, 971, 607, 2048, 716, 17300, 1216, 8730, 19348, 23315, 20543, 267, 17375, 4773, 610, 6419, 2326, 602, 3409, 547, 948, 609, 11067, 543, 12962, 8851, 269, 654, 4770, 11084, 849, 3409, 547, 968, 29323, 622, 7802, 543, 2569, 7802, 1303, 836, 2211, 9731, 3080, 8241, 2754, 6811, 602, 519, 1507, 17375, 10007, 602, 6445, 741, 19889, 25169, 1107, 700, 25423, 25169, 11831, 2270, 1472, 476, 3199, 2067, 6886, 269, 1452, 6886, 27581, 968, 810, 19924, 519, 1216, 892, 543, 968, 13449, 519, 17234, 15827, 892, 547, 1450, 1216, 547, 6923, 11547, 7802, 1510, 519, 946, 540, 6464, 610, 28052, 757, 269, 901, 1587, 849, 6811, 547, 4894, 20841, 543, 4551, 689, 519, 1216, 563, 29558, 21201, 12649, 513, 1297, 540, 11067, 11084, 267, 9236, 1942, 829, 11547, 267, 2489, 28052, 1890, 543, 741, 7145, 693, 11067, 513, 1297, 540, 1114, 2472, 856, 540, 7802, 269, 1452, 11067, 11084, 2039, 689, 1269, 1789, 547, 1269, 5611, 9489, 269, 634, 2949, 5207, 12773, 729, 513, 1269, 2412, 13362, 10357, 29773, 1587, 602, 20639, 476, 5379, 829, 1298, 2949, 269, 1717, 267, 7148, 1216, 1031, 538, 513, 1283, 4452, 518, 729, 15951, 693, 476, 5325, 829, 1298, 267, 8744, 883, 2243, 519, 13354, 7145, 540, 11067, 11084, 563, 1103, 1249, 267, 15089, 657, 27926, 700, 25423, 645, 8712, 4465, 8863, 302, 21201, 779, 476, 1001, 276, 1744, 517, 5652, 8366, 269, 4340, 547, 519, 4255, 267, 15089, 657, 27926, 11067, 11084, 1705, 11613, 4986, 269, 8863, 302, 21201, 7150, 267, 968, 2171, 2322, 873, 909, 1996, 10750, 2025, 1216, 538, 513, 1449, 547, 4894, 513, 3099, 540, 25859, 538, 938, 11067, 3684, 2978, 267, 543, 15089, 657, 27926, 4503, 256, 2334, 779, 1318, 267, 1210, 4986, 568, 1732, 982, 1210, 15089, 657, 27926, 27445, 11084, 267, 543, 2063, 942, 649, 13761, 2048, 333, 5847, 685, 729, 1863, 1107, 7429, 27445, 11084, 267, 799, 1942, 827, 1269, 2004, 513, 1402, 3034, 2710, 596, 1378, 513, 11067, 3440, 286, 14348, 596, 2015, 1210, 835, 888, 2252, 596, 2972, 938, 1543, 267, 1810, 1406, 1832, 621, 547, 3054, 269, 9523, 938, 1863, 552, 21158, 609, 707, 2828, 543, 5000, 873, 547, 1129, 909, 269, 0, 288, 5339, 2079, 1557, 568, 513, 1880, 1603, 4305, 799, 1022, 20194, 814, 547, 9096, 538, 1362, 267, 2852, 267, 6280, 607, 513, 1267, 540, 2542, 267, 1620, 543, 7421, 519, 5931, 616, 519, 538, 531, 1329, 762, 2934, 540, 519, 3872, 1576, 540, 269, 661, 848, 707, 1272, 256, 25398, 3525, 4328, 585, 519, 16520, 5811, 4828, 269, 16731, 513, 11788, 5675, 6796, 269, 4828, 5675, 26959, 3367, 811, 538, 14621, 547, 519, 5339, 13859, 676, 938, 1557, 5830, 269, 6258, 811, 269, 9523, 901, 9137, 269, 15243, 2372, 580, 2917, 269, 1715, 18842, 3559, 548, 267, 1715, 3840, 563, 7312, 2143, 6268, 568, 513, 1883, 513, 851, 540, 513, 3332, 6218, 602, 849, 3340, 707, 1434, 2976 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11328, 2889, 32216, 2259, 10607, 1072, 1416, 6765, 998, 519, 946, 540, 1702, 543, 1983, 540, 1072, 1416, 4648, 269, 3955, 2889, 32216, 2259, 568, 606, 5413, 585, 3782, 4648, 1317, 621, 10607, 2792, 1851, 1072, 1416, 4648, 269, 3955, 2889, 32216, 2259, 849, 2882, 5698, 269, 898, 2882, 5698, 540, 1072, 1416, 4648, 689, 1114, 10080, 2743, 267, 2170, 267, 1451, 543, 2259, 609, 519, 7817, 269, 21664, 799, 568, 513, 851, 540, 3955, 2889, 32216, 2259, 568, 3532, 538, 513, 1259, 602, 621, 31267, 25685, 1072, 4093, 563, 7072, 1284, 2661, 538, 513, 1158, 602, 25856, 1472, 23712, 609, 1866, 269, 2311, 513, 1762, 2085, 267, 649, 616, 6534, 547, 2324, 1927, 543, 713, 5170, 883, 519, 13781, 269, 634, 5354, 540, 6009, 4125, 9316, 10838, 1071, 22086, 619, 547, 581, 3811, 630, 1040, 2657, 4648, 946, 954, 2889, 32216, 5698, 263, 7709, 290, 264, 593, 513, 3232, 4493, 269, 634, 8225, 29237, 5948, 630, 290, 2793, 264, 11225, 7379, 290, 607, 2324, 609, 824, 1072, 4648, 547, 2097, 909, 609, 5683, 3871, 547, 1683, 1416, 585, 2550, 563, 11328, 2889, 32216, 5698, 3322, 513, 6024, 5872, 543, 1702, 4687, 1063, 4648, 602, 786, 948, 2087, 3461, 1416, 543, 4093, 269, 1977, 5948, 540, 30793, 2471, 540, 16711, 630, 288, 3722, 301, 267, 476, 1001, 272, 264, 6257, 2185, 28671, 11890, 547, 1331, 281, 476, 272, 269, 18880, 270, 20685, 923, 585, 3955, 2889, 32216, 6657, 476, 273, 269, 32018, 543, 13786, 4850, 476, 274, 269, 3955, 2889, 32216, 9442, 476, 275, 563, 2026, 22520, 538, 519, 1072, 1416, 1062, 16111, 2333, 267, 519, 2923, 543, 2229, 3401, 4749, 11168, 519, 1966, 6013, 538, 519, 3668, 540, 1072, 1416, 7426, 2139, 547, 4383, 519, 1062, 269, 634, 8225, 3955, 2889, 32216, 2657, 20985, 630, 1220, 279, 264, 2829, 602, 519, 1966, 568, 711, 3274, 12193, 676, 6721, 543, 16153, 1154, 811, 1072, 3318, 1053, 267, 855, 676, 968, 577, 4474, 519, 1259, 1072, 2533, 616, 9447, 543, 519, 6073, 538, 799, 7426, 2170, 609, 1142, 824, 892, 630, 335, 269, 476, 278, 1040, 1306, 513, 2104, 10805, 12016, 2469, 883, 519, 4102, 3924, 538, 519, 1072, 1062, 267, 594, 666, 2503, 547, 2141, 581, 513, 4759, 540, 513, 10319, 2319, 269, 3955, 2889, 32216, 5698, 630, 7709, 290, 264, 568, 519, 968, 15263, 540, 3384, 543, 4509, 2500, 954, 2889, 32216, 2324, 454, 23744, 1004, 1522, 711, 1589, 540, 3318, 1143, 607, 1271, 950, 7231, 609, 8284, 1071, 22086, 619, 855, 2241, 1330, 5052, 625, 971, 607, 28551, 1866, 609, 513, 12837, 267, 18245, 1071, 22086, 619, 7834, 676, 711, 10825, 575, 1601, 760, 543, 4758, 707, 3768, 22866, 3007, 547, 2576, 950, 789, 616, 6340, 547, 596, 3717, 10978, 569, 547, 1866, 607, 4191, 540, 1373, 513, 3318, 269, 1452, 2395, 3318, 1143, 609, 1071, 22086, 619, 849, 3322, 1373, 13533, 540, 1018, 596, 2022, 593, 1514, 2923, 269, 4518, 1644, 678, 1218, 610, 9011, 1645, 24616, 827, 8284, 1071, 22086, 619, 568, 796, 23896, 2406, 796, 2889, 32216, 269, 18103, 27274, 3318, 1143, 568, 513, 1582, 2173, 582, 17300, 5578, 1305, 267, 2943, 621, 666, 849, 4125, 19480, 538, 543, 4543, 513, 1071, 22086, 518, 1582, 18022, 937, 543, 2087, 741, 3318, 1143, 585, 519, 1434, 540, 519, 2898, 2319, 269, 22353, 267, 834, 684, 2889, 32216, 2623, 538, 513, 2564, 4259, 568, 26688, 547, 519, 1523, 540, 16542, 267, 543, 1256, 952, 621, 1281, 711, 10460, 606, 7525, 3463, 547, 513, 3461, 267, 1022, 2623, 602, 2164, 538, 1004, 711, 2324, 1134, 1927, 666, 1291, 547, 513, 5906, 3510, 4799, 2108, 11550, 293, 8577, 12778, 3201, 26113, 5442, 5990, 20796, 298, 12195, 19781, 892, 476, 273, 12333, 1143, 568, 1271, 538, 782, 3344, 540, 6075, 3028, 543, 519, 1292, 1523, 540, 8808, 2259, 269, 898, 2882, 513, 7287, 547, 1451, 267, 1582, 16162, 23002, 267, 12477, 267, 13190, 267, 14223, 267, 2319, 5698, 267, 7881, 267, 543, 2418, 630, 4537, 2129, 8643, 1299, 2098, 600, 11961, 1228, 327, 267, 476, 1001, 278, 267, 533, 269, 476, 24833, 1040, 20504, 766, 543, 8296, 616, 519, 1292, 2694, 540, 519, 2922, 1604, 267, 11923, 723, 547, 1683, 547, 2550, 269, 1306, 513, 1007, 12016, 267, 621, 1412, 338, 1271, 547, 1020, 1434, 960, 7881, 543, 1521, 1142, 1367, 609, 15683, 543, 2463, 630, 4537, 2129, 8643, 1299, 2098, 600, 11961, 1228, 327, 267, 476, 1001, 278, 267, 6032, 269, 476, 24833, 268, 12573, 1916, 11328, 26051, 1983, 538, 519, 3782, 2872, 616, 1360, 1271, 1317, 621, 3762, 513, 1101, 12705, 540, 945, 596, 616, 269, 3955, 26051, 1983, 616, 1346, 1898, 1983, 3238, 538, 7231, 609, 543, 11341, 547, 824, 1004, 267, 7361, 593, 513, 835, 268, 547, 14633, 4493, 543, 3955, 26051, 1983, 616, 1271, 2645, 543, 519, 2564, 3924, 1058, 2832, 547, 10536, 543, 1020, 873, 630, 299, 756, 12505, 267, 476, 1220, 278, 1040, 898, 568, 849, 1271, 547, 4063, 568, 707, 5920, 543, 707, 10182, 568, 1434, 585, 2679, 540, 3972, 1063, 1072, 4600, 4648, 543, 741, 7218, 269, 3955, 26051, 1983, 616, 4294, 538, 519, 3782, 1604, 593, 513, 3232, 4493, 269, 2368, 1434, 7907, 540, 14375, 1983, 538, 519, 1072, 1416, 3924, 616, 26068, 10618, 267, 7231, 609, 4655, 267, 3375, 1818, 543, 1966, 6061, 563, 301, 2720, 525, 1058, 960, 547, 26924, 602, 519, 4143, 6105, 616, 3238, 543, 723, 513, 5639, 538, 3375, 6194, 827, 3461, 1416, 2152, 269, 12502, 525, 1058, 1294, 602, 519, 2243, 602, 991, 547, 581, 9619, 616, 4280, 543, 519, 1344, 2877, 585, 5483, 3375, 6194, 568, 2139, 543, 3177, 269, 29237, 1058, 8362, 3895, 519, 10319, 3818, 16162, 9918, 4058, 2838, 547, 2327, 519, 8244, 543, 10333, 540, 2298, 1072, 2533, 547, 782, 7606, 945, 723, 2115, 585, 1072, 1416, 269, 2271, 571, 3491, 32216, 5698, 1369, 8808, 568, 4909, 547, 3927, 5466, 519, 1072, 2115, 540, 2550, 543, 519, 1857, 269, 12502, 525, 7722, 538, 1875, 12641, 514, 25025, 5107, 267, 971, 607, 7245, 610, 1382, 267, 1247, 711, 3246, 1463, 1416, 267, 20866, 616, 23712, 538, 519, 11865, 540, 1416, 998, 741, 3310, 543, 4287, 540, 1346, 945, 798, 563, 2108, 8794, 2487, 1806, 689, 2259, 9691, 1865, 875, 954, 3491, 32216, 2792, 666, 1764, 593, 3028, 3593, 3106, 892, 4985, 281, 634, 2319, 960, 1851, 519, 4648, 540, 1114, 3782, 13623, 543, 1851, 824, 3318, 13623, 568, 3478, 811, 1455, 269, 898, 568, 4742, 1898, 602, 3782, 7426, 1058, 960, 609, 519, 4648, 540, 824, 1072, 10459, 538, 1931, 547, 2087, 1072, 6703, 543, 13599, 519, 7218, 269, 630, 303, 1815, 4157, 517, 529, 267, 476, 1220, 279, 1040, 13966, 609, 519, 2640, 543, 2318, 2934, 540, 954, 3491, 32216, 5698, 972, 616, 930, 2591, 1932, 602, 949, 17225, 519, 960, 267, 543, 3782, 5238, 616, 3168, 4464, 547, 4001, 1053, 827, 954, 3491, 32216, 2792, 547, 1199, 5573, 519, 2591, 269, 630, 18250, 301, 1515, 267, 476, 1220, 276, 1916, 16449, 560, 782, 3782, 4600, 267, 519, 2953, 29943, 540, 954, 3491, 32216, 2792, 568, 7533, 538, 4180, 519, 1655, 2009, 6364, 585, 2550, 269, 634, 29943, 540, 2500, 2792, 1063, 1072, 1416, 2319, 2818, 568, 1175, 607, 1271, 547, 2922, 267, 12391, 543, 2500, 3461, 1416, 607, 519, 13319, 540, 9354, 2792, 1063, 12016, 543, 3461, 269, 9442, 568, 513, 2101, 851, 540, 513, 12016, 779, 1909, 543, 789, 723, 547, 723, 9867, 2792, 1983, 538, 1931, 547, 3927, 5968, 609, 519, 1114, 12204, 540, 4648, 602, 789, 2097, 2066, 1369, 519, 1072, 4259, 269, 4014, 267, 972, 666, 581, 7496, 585, 8236, 2500, 954, 3491, 32216, 5698, 602, 2039, 689, 2528, 7496, 547, 2123, 4978, 269, 1403, 891, 7496, 0, 4596, 17162, 5254, 3036, 17803, 6730, 13138, 3198, 9915, 18306, 9569, 12164, 14888, 16739, 11123, 595, 7473, 18919, 8582, 8991, 595, 7473, 16249, 306, 6730, 623, 5588, 307, 3633, 12813, 3198, 4811, 563, 763, 1648, 6433, 799, 7018, 538, 519, 2038, 476, 3583, 338, 8507, 538, 513, 1390, 6521, 538, 14713, 2127, 585, 32550, 22450, 2371, 689, 5266, 4411, 16374, 538, 519, 7187, 12106, 4724, 15911, 16374, 269, 4935, 267, 1007, 2504, 2127, 941, 2813, 538, 2477, 799, 22821, 1405, 1185, 1022, 2245, 538, 519, 5010, 2504, 540, 5810, 19838, 269, 12052, 267, 5840, 267, 6792, 267, 15057, 269, 901, 6521, 7255, 5631, 519, 2371, 8506, 1164, 5210, 1282, 519, 14713, 538, 519, 8511, 543, 1279, 5712, 540, 2208, 269, 634, 2810, 3790, 540, 2011, 6283, 7142, 1082, 25210, 267, 17783, 531, 619, 543, 13143, 532, 3549, 547, 946, 4922, 14903, 6283, 543, 8708, 1242, 6283, 540, 5810, 18246, 676, 21471, 9635, 269, 901, 267, 538, 2490, 267, 2838, 1007, 2409, 585, 7829, 5810, 1310, 7556, 267, 607, 1134, 607, 1282, 543, 1310, 6283, 563, 290, 745, 1017, 3356, 538, 2022, 3620, 541, 4034, 7829, 540, 2759, 5810, 543, 1494, 1540, 2371, 814, 1044, 6913, 1282, 519, 2063, 476, 736, 1296, 269, 634, 2856, 540, 834, 1492, 5832, 540, 1272, 257, 630, 1805, 17879, 1696, 620, 1421, 476, 3192, 279, 264, 729, 5189, 547, 519, 32550, 12734, 2872, 538, 7330, 543, 4516, 269, 634, 2856, 729, 1759, 593, 519, 1201, 580, 3130, 540, 2759, 5810, 543, 824, 21113, 4358, 689, 519, 7556, 267, 998, 4859, 267, 21249, 267, 24386, 267, 6283, 2394, 519, 3803, 32550, 626, 781, 6300, 269, 634, 19993, 2837, 543, 519, 19993, 3259, 585, 519, 4859, 543, 6283, 5712, 723, 1044, 5462, 585, 1585, 5810, 538, 1931, 547, 8190, 606, 2949, 2298, 269, 1715, 2409, 540, 2759, 5810, 543, 1494, 1540, 2371, 24386, 267, 3348, 944, 532, 267, 543, 3617, 6283, 1949, 723, 1044, 4362, 543, 5189, 547, 519, 2259, 269, 4746, 519, 2872, 814, 2919, 1007, 4859, 5773, 585, 2759, 5810, 267, 27191, 543, 1494, 1540, 2371, 269, 2353, 540, 891, 10781, 723, 2813, 1007, 2504, 543, 6725, 3255, 585, 25210, 267, 17783, 531, 619, 543, 1163, 13024, 269, 20865, 2409, 540, 4859, 543, 6283, 4847, 585, 513, 1732, 16369, 540, 5810, 3761, 547, 519, 4170, 540, 519, 2344, 543, 547, 513, 1390, 6708, 17515, 8768, 9271, 269, 0, 763, 1353, 540, 8404, 2882, 519, 2078, 1063, 24500, 267, 15314, 267, 543, 2623, 269, 31802, 568, 1018, 11479, 513, 1268, 547, 957, 610, 1689, 519, 4287, 540, 741, 3527, 269, 1677, 581, 12592, 267, 2043, 616, 9141, 676, 2901, 519, 11601, 540, 2318, 15314, 610, 519, 21084, 540, 2942, 15314, 269, 769, 1417, 1161, 616, 6353, 607, 513, 22150, 8007, 610, 1727, 657, 762, 2680, 4540, 538, 519, 1604, 269, 1677, 1174, 2623, 267, 16895, 2491, 602, 2623, 568, 519, 1267, 540, 8404, 4611, 689, 606, 4835, 29916, 610, 5007, 15314, 269, 630, 5719, 1188, 619, 267, 476, 1001, 271, 1916, 3080, 2707, 540, 4835, 8404, 568, 519, 6211, 4756, 269, 4340, 547, 3220, 269, 19681, 6975, 1546, 1188, 619, 630, 1001, 271, 1070, 968, 6798, 1670, 4632, 3277, 547, 519, 4162, 540, 519, 1560, 543, 2634, 602, 4196, 547, 18663, 2623, 892, 630, 335, 269, 476, 279, 1040, 4284, 8344, 2115, 1331, 5135, 267, 1426, 267, 1216, 267, 3023, 267, 3207, 267, 543, 2168, 14242, 269, 898, 849, 2882, 519, 991, 547, 2057, 2800, 267, 6757, 15128, 267, 3002, 267, 543, 4411, 269, 1280, 1383, 267, 513, 1268, 568, 9141, 547, 3548, 676, 14000, 538, 1931, 547, 14183, 741, 1560, 779, 12214, 991, 585, 32351, 269, 1306, 513, 2489, 4341, 267, 950, 519, 4606, 540, 14000, 2333, 267, 14626, 1211, 958, 519, 8404, 547, 3548, 786, 849, 2333, 269, 634, 24539, 1871, 540, 1426, 666, 581, 865, 7986, 602, 621, 666, 2014, 1004, 547, 31952, 805, 267, 547, 519, 1448, 540, 8377, 269, 769, 4334, 267, 972, 616, 2043, 267, 971, 607, 1004, 609, 30604, 4524, 267, 945, 1747, 2370, 547, 1100, 1871, 593, 1426, 630, 5719, 1188, 619, 267, 476, 1001, 271, 1916, 5194, 2707, 540, 4835, 8404, 568, 519, 5626, 29916, 269, 769, 3220, 269, 19681, 6975, 1546, 1188, 619, 2070, 630, 1001, 271, 1070, 968, 17595, 1670, 4632, 3277, 547, 24500, 543, 616, 6594, 998, 22905, 10832, 1848, 1280, 3236, 267, 3744, 616, 2111, 547, 2268, 1086, 17508, 543, 1159, 3796, 22566, 540, 5626, 4632, 267, 4160, 543, 8788, 269, 589, 2489, 4341, 585, 5626, 4632, 2829, 602, 267, 968, 553, 10832, 540, 513, 5626, 991, 2333, 267, 519, 8404, 585, 991, 3146, 10589, 15314, 267, 2204, 332, 2218, 5615, 267, 543, 2404, 4743, 2333, 892 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18097, 348, 1535, 6525, 815, 476, 276, 3287, 273, 1341, 476, 275, 343, 1341, 476, 277, 264, 276, 268, 272, 6398, 6695, 2765, 3189, 9507, 18097, 24828, 9507, 18097, 348, 1535, 6525, 630, 343, 273, 1341, 476, 275, 343, 1341, 476, 277, 994, 284, 476, 276, 630, 343, 273, 1341, 476, 275, 343, 1341, 476, 277, 264, 630, 273, 343, 1341, 476, 275, 994, 284, 476, 1015, 630, 343, 1341, 476, 273, 264, 630, 343, 273, 1341, 476, 275, 343, 1341, 476, 277, 264, 275, 692, 9223, 476, 273, 563, 344, 815, 16009, 476, 274, 343, 454, 11405, 912, 344, 815, 16009, 476, 274, 343, 454, 1584, 579, 815, 476, 274, 343, 454, 11377, 2765, 18097, 579, 2410, 323, 1535, 6525, 815, 476, 274, 454, 3086, 586, 815, 16009, 579, 454, 22382, 6695, 2765, 18097, 579, 2410, 323, 1535, 6525, 815, 3813, 273, 579, 454, 3383, 6695, 2765, 18097, 586, 2410, 323, 1535, 18098, 2765, 18097, 586, 2410, 323, 579, 348, 1422, 9392, 1422, 2765, 18097, 579, 2410, 323, 1535, 6525, 815, 630, 5913, 273, 579, 264, 630, 274, 994, 284, 476, 274, 3813, 273, 476, 274, 343, 692, 9223, 476, 274, 563, 344, 815, 5430, 630, 11927, 1535, 994, 11405, 912, 344, 815, 5430, 630, 11927, 1535, 994, 314, 586, 815, 535, 14116, 3287, 994, 11377, 2765, 3189, 9507, 346, 11276, 24828, 9507, 18097, 348, 1535, 6525, 815, 535, 21948, 326, 3287, 4297, 1547, 575, 21948, 343, 22708, 11377, 2765, 3189, 9507, 346, 11276, 24828, 9507, 18097, 348, 1535, 6525, 815, 1107, 5609, 630, 11927, 1535, 264, 6398, 6695, 2765, 3189, 9507, 18097, 24828, 9507, 18097, 348, 1535, 6525, 630, 11927, 1535, 994, 11377, 2765, 3189, 9507, 346, 11276, 24828, 9507, 18097, 348, 1535, 6525, 815, 1107, 5609, 630, 11927, 1535, 264, 6398, 3813, 273, 343, 454, 11377, 2765, 3189, 9507, 346, 11276, 24828, 9507, 18097, 348, 1535, 6525, 815, 1107, 3813, 273, 1547, 5609, 630, 11927, 1535, 2020, 9223, 476, 275, 563, 344, 815, 6695, 6912, 314, 274, 31765, 272, 21147, 3867, 274, 3686, 16465, 11405, 1384, 9223, 476, 276, 563, 344, 815, 3230, 324, 17353, 6912, 12757, 3686, 16465, 11405, 1384, 9223, 476, 277, 563, 344, 815, 5609, 630, 1410, 994, 11405, 912, 344, 815, 5609, 630, 1410, 994, 4131, 579, 815, 608, 692, 9223, 476, 278, 563, 293, 3287, 264, 815, 630, 343, 274, 1341, 476, 275, 343, 264, 278, 454, 11405, 912, 293, 3287, 264, 815, 630, 343, 274, 1341, 476, 275, 343, 264, 278, 454, 21607, 579, 815, 1535, 274, 1341, 476, 275, 343, 692, 9223, 476, 279, 563, 327, 6025, 264, 815, 6695, 3847, 6025, 10559, 2765, 346, 272, 2410, 339, 4153, 2431, 8203, 3189, 2765, 346, 274, 2410, 273, 3686, 16465, 11405, 1384, 9223, 476, 280, 563, 325, 6025, 264, 815, 6695, 6912, 314, 274, 31765, 272, 10954, 11927, 512, 28021, 11405, 1384, 9223, 476, 1015, 563, 344, 815, 5430, 630, 320, 274, 1341, 1535, 274, 994, 11405, 1384, 9223, 476, 1556, 563, 344, 815, 552, 2173, 343, 454, 11405, 1384, 9223, 476, 1321, 563, 344, 815, 476, 275, 3813, 476, 276, 343, 454, 11405, 1384, 9223, 476, 1724, 563, 344, 815, 630, 273, 343, 1107, 476, 276, 264, 275, 630, 279, 343, 273, 1107, 476, 276, 9984, 274, 454, 11405, 1384, 284, 6695, 2765, 346, 279, 263, 273, 1535, 268, 276, 22722, 274, 24828, 3847, 263, 279, 1535, 3867, 273, 18511, 276, 9368, 22722, 275, 24995, 11196, 275, 343, 273, 1341, 476, 1789, 343, 1107, 476, 276, 2020, 9223, 476, 1691, 563, 344, 815, 630, 343, 273, 1341, 476, 272, 264, 6695, 6912, 314, 274, 31765, 343, 3867, 273, 15396, 273, 28021, 11405, 1384, 9223, 476, 1428, 563, 344, 815, 1535, 324, 14870, 273, 454, 11405, 912, 344, 815, 1535, 552, 14870, 273, 454, 11377, 2765, 3189, 9507, 346, 11276, 24828, 9507, 18097, 348, 1535, 6525, 815, 1535, 1547, 552, 14870, 273, 11196, 476, 273, 343, 264, 1341, 552, 14870, 273, 1547, 476, 272, 815, 1107, 476, 273, 343, 273, 552, 14870, 273, 1341, 552, 14870, 273, 454, 11377, 2765, 3189, 9507, 346, 11276, 24828, 9507, 18097, 348, 1535, 6525, 815, 552, 14870, 273, 630, 272, 1107, 476, 273, 343, 273, 2020, 9223, 476, 1626, 563, 338, 6025, 264, 815, 6695, 6912, 314, 275, 27037, 2765, 346, 339, 3867, 274, 15396, 272, 2410, 339, 3867, 274, 18511, 272, 3686, 16465, 11405, 1384, 9223, 476, 1704, 563, 325, 3287, 264, 815, 6695, 2765, 12757, 7346, 6912, 346, 278, 268, 274, 1535, 3686, 16465, 11405, 1384, 9223, 476, 1240, 563, 344, 815, 16009, 630, 6523, 1535, 994, 11405, 912, 344, 815, 16009, 630, 6523, 1535, 2020, 9223, 476, 866, 563, 344, 815, 6695, 2765, 3189, 7562, 476, 3867, 273, 348, 1535, 7346, 6523, 1535, 28021, 11405, 1384, 9223, 476, 736, 563, 344, 815, 3230, 276, 3867, 10559, 2765, 346, 272, 2410, 343, 3686, 16465, 11405, 1384, 9223, 476, 2641, 563, 344, 815, 6695, 6912, 346, 272, 266, 273, 1422, 11927, 1535, 28021, 11405, 1384, 9223, 476, 2420, 563, 344, 815, 5609, 274, 343, 1341, 5430, 274, 343, 454, 11405, 912, 344, 815, 5609, 274, 343, 1341, 5430, 274, 343, 454, 11377, 2765, 3189, 9507, 346, 11276, 24828, 9507, 18097, 348, 1535, 6525, 815, 476, 274, 5609, 273, 343, 5430, 1535, 1341, 476, 274, 5430, 273, 6398, 1107, 5609, 1535, 454, 11377, 2765, 3189, 9507, 346, 11276, 24828, 9507, 18097, 348, 1535, 6525, 815, 476, 274, 5609, 1535, 5430, 1535, 630, 7562, 1535, 1107, 5430, 1535, 2020, 9223, 476, 2537, 563, 344, 815, 5609, 273, 630, 6523, 737, 343, 994, 11405, 1384, 9223, 476, 2190, 563, 344, 815, 630, 272, 1341, 5430, 273, 343, 264, 277, 454, 11405, 1384, 9223, 476, 1839, 563, 344, 815, 11377, 2765, 346, 324, 3867, 274, 1535, 12453, 272, 266, 324, 3867, 343, 3686, 16465, 11405, 1384, 9223, 476, 2918, 563, 344, 815, 6695, 6912, 12757, 10954, 6912, 12757, 3686, 16465, 11405, 1384, 9223, 476, 2767, 563, 344, 815, 608, 5430, 1535, 454, 11405, 1384, 9223, 476, 2764, 563, 344, 815, 6695, 6912, 12757, 10954, 6912, 12757, 10954, 6912, 12757, 3686, 28021, 11405, 1384, 9223, 476, 3066, 563, 344, 815, 6695, 7562, 22570, 11927, 22570, 6912, 3189, 7562, 1535, 348, 4297, 16465, 11405, 1384, 9223, 476, 1789, 563, 344, 815, 5609, 268, 272, 11377, 3847, 7268, 2765, 346, 272, 14870, 3867, 273, 12453, 272, 21147, 3867, 273, 14990, 2431, 14638, 454, 11405, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 834, 4517, 344, 267, 1946, 993, 594, 8273, 982, 596, 8119, 29871, 14452, 267, 834, 11039, 267, 24898, 267, 1175, 899, 3425, 2097, 538, 1114, 7306, 267, 865, 798, 2831, 256, 1411, 616, 513, 2462, 267, 2178, 737, 30865, 5622, 267, 1247, 594, 993, 513, 4130, 855, 8449, 26227, 3774, 17879, 3010, 2026, 789, 4797, 8600, 585, 741, 3460, 267, 29871, 8068, 1945, 8966, 2282, 519, 3529, 269, 1261, 11329, 621, 856, 547, 24898, 543, 4280, 267, 834, 1432, 781, 713, 3364, 267, 24898, 8119, 24898, 6045, 267, 834, 6546, 781, 513, 30618, 267, 29871, 269, 4658, 946, 873, 950, 789, 1616, 547, 4163, 1919, 609, 873, 1282, 1279, 15143, 610, 554, 10105, 1701, 29871, 1287, 9289, 16965, 267, 834, 3719, 945, 11438, 891, 1004, 952, 789, 991, 513, 1964, 8119, 24898, 669, 3089, 1194, 543, 15527, 267, 834, 5591, 835, 11438, 1004, 267, 25064, 256, 18972, 666, 3802, 676, 2933, 269, 1809, 3006, 267, 2523, 950, 10707, 2484, 9883, 267, 789, 1522, 11878, 30158, 610, 6472, 3010, 13142, 12340, 543, 29871, 14095, 930, 1426, 543, 1216, 883, 24898, 781, 19756, 30618, 543, 1305, 1055, 2509, 519, 16880, 269, 17652, 267, 789, 3357, 2066, 513, 524, 9127, 269, 22628, 519, 2312, 1216, 13576, 9900, 267, 29871, 2968, 8049, 269, 834, 13142, 12340, 2437, 646, 4280, 267, 834, 6343, 2306, 1216, 1847, 899, 602, 8119, 24898, 2219, 585, 513, 4090, 1354, 7713, 267, 834, 12850, 8928, 1524, 24824, 1813, 547, 8904, 267, 1250, 3659, 269, 898, 7575, 689, 2362, 2127, 547, 2539, 3283, 2394, 621, 10301, 513, 1448, 1141, 621, 3587, 1377, 3010, 10702, 6619, 267, 789, 1336, 513, 15116, 1843, 14084, 1985, 547, 513, 17382, 269, 4706, 3337, 18056, 29871, 540, 1010, 10772, 269, 30985, 267, 646, 13603, 909, 519, 6221, 543, 8947, 621, 5702, 269, 834, 17764, 1413, 10590, 608, 13094, 29871, 267, 834, 2005, 814, 1913, 2854, 593, 621, 10590, 24898, 10709, 539, 6251, 547, 1224, 1018, 729, 2854, 269, 834, 1607, 568, 1572, 513, 1433, 267, 29871, 269, 6884, 267, 3079, 540, 7680, 1919, 20250, 267, 3425, 666, 1451, 827, 824, 4025, 267, 4529, 267, 543, 1256, 16494, 10600, 998, 2835, 269, 901, 1880, 1433, 4667, 547, 1865, 519, 3652, 3425, 1246, 1107, 649, 1289, 1346, 4031, 3010, 7661, 267, 1310, 3108, 540, 3408, 267, 24898, 543, 29871, 12306, 896, 513, 695, 8014, 3529, 585, 12899, 269, 2755, 4687, 5613, 543, 3762, 267, 789, 10630, 593, 741, 3078, 1554, 1927, 269, 2060, 6801, 538, 1010, 4064, 267, 29871, 5828, 547, 24898, 543, 26866, 1229, 267, 834, 14188, 596, 267, 1250, 3659, 269, 4653, 729, 5963, 5863, 1317, 540, 596, 1701, 24898, 20493, 27145, 543, 14452, 267, 834, 2791, 2811, 10950, 267, 29871, 269, 2334, 781, 1018, 11505, 568, 782, 827, 1107, 1565, 543, 3395, 1927, 1701, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12606, 634, 808, 9766, 1440, 28619, 2986, 17073, 281, 20616, 1143, 1656, 634, 14329, 2986, 4521, 476, 1220, 274, 454, 32513, 2125, 267, 607, 2035, 729, 547, 581, 269, 16010, 543, 2782, 3687, 8651, 267, 543, 729, 676, 519, 14890, 269, 570, 529, 5633, 267, 519, 23826, 20031, 1512, 267, 1185, 269, 634, 14890, 781, 1592, 281, 1016, 14585, 16476, 3148, 269, 15385, 547, 513, 3703, 17086, 5403, 8433, 286, 5304, 281, 1126, 786, 1491, 26356, 1369, 476, 2190, 5494, 12973, 689, 938, 5177, 4767, 18560, 269, 11162, 267, 476, 273, 290, 2508, 609, 1100, 2203, 547, 14768, 543, 1454, 1920, 547, 519, 1966, 269, 1284, 979, 513, 1082, 12705, 3391, 1239, 20663, 1058, 596, 1869, 948, 1500, 609, 707, 4480, 538, 1022, 5943, 269, 2038, 547, 5225, 4055, 547, 5903, 269, 476, 271, 4375, 282, 556, 7487, 547, 513, 2990, 540, 519, 3003, 521, 15554, 7716, 269, 5225, 2198, 1677, 6377, 538, 1931, 269, 589, 568, 1031, 547, 6146, 267, 543, 568, 562, 1405, 1025, 27475, 547, 1039, 519, 2883, 4647, 634, 808, 9766, 1440, 28619, 540, 17073, 281, 20616, 1143, 269, 11895, 267, 1352, 1309, 607, 2119, 519, 2407, 8004, 519, 1296, 798, 269, 4438, 519, 2038, 4986, 267, 589, 10607, 875, 595, 568, 562, 1405, 547, 782, 519, 476, 1001, 278, 23742, 332, 3214, 689, 519, 7260, 540, 606, 971, 1587, 263, 667, 1070, 513, 3109, 261, 2012, 269, 589, 22171, 595, 267, 4259, 519, 2319, 689, 1200, 269, 595, 1412, 338, 3516, 2116, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 12292, 1315, 918, 836, 16619, 657, 1315, 4934, 3724, 16709, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 8080, 547, 519, 8748, 1158, 540, 6965, 256, 4653, 267, 649, 786, 2263, 513, 1808, 2186, 540, 6648, 1572, 513, 5067, 6339, 269, 5620, 596, 2479, 4862, 540, 621, 286, 5213, 1405, 5855, 952, 596, 10093, 1405, 282, 676, 519, 1439, 540, 713, 3992, 267, 596, 3513, 581, 513, 5067, 6339, 4274, 2439, 288, 5067, 6339, 568, 899, 513, 2027, 10516, 609, 476, 1691, 3515, 602, 15023, 946, 547, 2769, 741, 4555, 543, 4606, 827, 1945, 789, 1416, 7184, 827, 910, 1419, 2648, 267, 2470, 267, 610, 1256, 513, 2241, 6371, 7749, 704, 256, 1677, 948, 721, 3314, 922, 2189, 2934, 267, 1577, 781, 2736, 1524, 513, 5067, 6339, 1927, 780, 5575, 267, 4952, 513, 5067, 6339, 607, 513, 2777, 609, 1079, 11623, 269, 7313, 1115, 1289, 891, 11623, 519, 834, 24934, 1511, 257, 630, 29455, 899, 1412, 24934, 22455, 10807, 543, 519, 834, 338, 652, 564, 257, 630, 13678, 1791, 547, 1412, 6135, 262, 1040, 634, 1101, 4055, 267, 519, 12354, 1511, 267, 814, 5216, 3515, 1141, 15023, 1305, 909, 513, 2243, 610, 1966, 269, 3973, 267, 789, 1847, 547, 519, 2034, 4055, 267, 519, 521, 652, 564, 267, 799, 3568, 3670, 3515, 585, 4687, 741, 2626, 610, 3070, 780, 3086, 267, 1018, 2306, 713, 5067, 6339, 27440, 1256, 811, 4277, 616, 922, 9486, 910, 4025, 1141, 1913, 1921, 865, 18991, 602, 789, 3280, 2147, 269, 1284, 1289, 873, 834, 337, 1506, 6996, 2437, 543, 1142, 5067, 6339, 814, 513, 2027, 4806, 267, 610, 834, 337, 1506, 1889, 10325, 2437, 8220, 891, 9486, 2429, 519, 3003, 2777, 780, 4131, 781, 1491, 513, 1413, 693, 930, 2442, 5067, 6339, 6163, 269, 1411, 2907, 917, 827, 519, 7969, 5067, 6339, 609, 922, 705, 9346, 629, 9346, 12354, 1511, 543, 524, 20657, 1372, 521, 652, 564, 269, 1809, 972, 781, 1776, 9159, 2511, 3957, 1310, 835, 540, 4789, 781, 1034, 4583, 15023, 267, 31611, 1975, 27660, 780, 763, 2878, 8967, 27660, 1014, 12312, 6339, 1262, 5654, 899, 713, 912, 5723, 5723, 6195, 6195, 7374, 7374, 7417, 692, 4692, 596, 1294, 875, 519, 5022, 10956, 543, 1106, 3270, 2066, 519, 2898, 5067, 6339, 286, 2334, 781, 938, 5067, 6339, 27440, 781, 6885, 11460, 256, 898, 1522, 3100, 7294, 1631, 267, 855, 4166, 621, 786, 782, 2097, 1927, 780, 2080, 781, 606, 1383, 540, 513, 1975, 27660, 1014, 12312, 6339, 676, 31611, 1975, 27660, 5128, 267, 11331, 834, 3080, 4303, 594, 654, 4710, 4173, 8745, 16270, 519, 853, 8681, 257, 1384, 3080, 1554, 594, 5206, 1200, 2012, 2390, 519, 18843, 2676, 3719, 3357, 519, 6329, 543, 18233, 621, 2476, 912, 26139, 594, 2328, 621, 609, 513, 2034, 1688, 2676, 3719, 3357, 519, 20352, 267, 543, 1500, 1250, 24074, 1010, 10352, 563, 309, 664, 812, 267, 1767, 1352, 267, 602, 546, 739, 538, 642, 664, 22368, 454, 288, 6180, 531, 3364, 865, 547, 32161, 1125, 2676, 2690, 594, 8885, 4927, 899, 547, 713, 9178, 2676, 4517, 552, 651, 1250, 2012, 581, 530, 21317, 856, 11338, 563, 8253, 865, 630, 638, 1054, 594, 1070, 1577, 1666, 518, 1919, 28433, 454, 2414, 5884, 538, 7452, 267, 855, 596, 4927, 2661, 676, 21239, 912, 7069, 14235, 707, 21644, 4686, 4927, 552, 1181, 1125, 2676, 4517, 538, 519, 30723, 2328, 707, 32219, 2012, 563, 8489, 950, 553, 12280, 4927, 782, 519, 1158, 1016, 16746, 2676, 5978, 2648, 4927, 2661, 267, 543, 2663, 1272, 5710, 780, 8649, 5074, 267, 1318, 286, 1306, 596, 1224, 998, 6004, 269, 1975, 27660, 781, 5067, 6339, 267, 5469, 875, 646, 3096, 519, 9474, 5723, 6195, 6195, 7374, 7374, 7417, 22565, 10325, 269, 2052, 596, 5544, 1141, 519, 12354, 1511, 7475, 543, 519, 521, 652, 564, 5956, 286, 1215, 1281, 646, 1711, 2055, 543, 1683, 4267, 1369, 1346, 6810, 286, 9796, 3007, 547, 875, 519, 6586, 4364, 1913, 1404, 2685, 2170, 609, 1142, 824, 267, 2870, 4296, 1063, 1114, 2694, 540, 519, 5067, 6339, 27440, 780, 1103, 1100, 942, 267, 596, 1932, 666, 4739, 4190, 5067, 26506, 4904, 609, 6612, 543, 5876, 1175, 899, 6004, 269, 1975, 27660, 256, 2353, 596, 991, 568, 2259, 267, 9639, 267, 543, 7279, 269, 8414, 1603, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 517, 6339, 4214, 281, 589, 5067, 6339, 568, 513, 11430, 878, 6648, 602, 568, 16922, 540, 27552, 3515, 543, 2356, 5205, 513, 22565, 10325, 563, 17843, 9537, 540, 12312, 6339, 454, 306, 517, 6339, 2495, 281, 589, 5067, 6339, 568, 513, 1826, 540, 6648, 602, 568, 27552, 3515, 538, 3259, 543, 5205, 513, 22565, 10325, 269, 12312, 26506, 616, 3335, 2854, 547, 2232, 4798, 610, 2152, 2847, 6295, 1472, 2648, 563, 2467, 616, 1614, 1292, 2010, 540, 5067, 26506, 912, 2005, 6501, 12312, 6339, 281, 634, 7969, 5067, 6339, 267, 849, 5219, 547, 607, 513, 8891, 337, 1105, 534, 5067, 6339, 267, 5161, 540, 27552, 3515, 7745, 1524, 883, 1079, 2694, 267, 519, 12354, 1511, 543, 519, 521, 652, 564, 269, 15394, 267, 519, 12354, 1511, 5205, 519, 22565, 10325, 540, 705, 9346, 629, 9346, 1547, 634, 521, 652, 564, 3335, 5205, 2901, 519, 524, 20657, 1372, 610, 524, 323, 7251, 7251, 22565, 10325, 267, 855, 693, 2053, 267, 519, 521, 652, 564, 22565, 10325, 1223, 4268, 1851, 7969, 5067, 26506, 563, 268, 1323, 1383, 540, 519, 7969, 5067, 6339, 1131, 581, 3627, 3223, 520, 779, 968, 4002, 519, 23420, 7749, 704, 543, 595, 19897, 6100, 901, 5067, 6339, 568, 16922, 540, 476, 1691, 3515, 269, 634, 12354, 1511, 5205, 519, 705, 9346, 629, 9346, 22565, 10325, 267, 543, 519, 521, 652, 564, 5205, 519, 524, 20657, 1372, 454, 4537, 820, 701, 732, 534, 12312, 6339, 281, 634, 9956, 534, 5067, 6339, 267, 849, 5219, 547, 513, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8967, 27660, 1014, 12312, 6339, 257, 607, 851, 540, 834, 17269, 4953, 23802, 1315, 12312, 26506, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1523, 540, 519, 7844, 19724, 640, 19088, 630, 12613, 300, 264, 1369, 519, 2796, 540, 7489, 1977, 543, 7414, 29474, 5525, 269, 634, 631, 12613, 4016, 547, 519, 8305, 9189, 602, 28420, 7489, 4892, 607, 25144, 3811, 267, 1164, 268, 778, 773, 1324, 267, 543, 2182, 11529, 2043, 945, 798, 711, 3068, 1713, 7496, 547, 1967, 3379, 547, 824, 7292, 18441, 269, 901, 7242, 5713, 547, 21372, 519, 4763, 543, 6988, 1369, 519, 7489, 1977, 2146, 267, 32135, 741, 9620, 267, 543, 28511, 11528, 10168, 269, 3414, 2565, 2079, 543, 6514, 540, 3140, 267, 8739, 14426, 267, 543, 2797, 2188, 267, 713, 1770, 6663, 547, 16491, 1053, 609, 519, 2556, 2645, 547, 3181, 6064, 519, 631, 12613, 543, 1174, 922, 6286, 585, 7489, 1977, 2833, 780, 272, 269, 8466, 17959, 540, 519, 7844, 19724, 640, 19088, 454, 763, 5072, 540, 519, 631, 12613, 666, 581, 14360, 1394, 547, 519, 4571, 268, 736, 628, 2540, 950, 7489, 4892, 941, 1031, 676, 3043, 14761, 543, 2923, 19093, 547, 17854, 4550 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8173, 1038, 1520, 1091, 679, 10179, 762, 547, 606, 679, 10179, 762, 454, 1038, 2878, 10691, 292, 2878, 454, 1038, 901, 5106, 666, 581, 7199, 4470, 593, 519, 2450, 540, 519, 679, 10179, 762, 454, 1038, 547, 581, 6677, 22760, 730, 269, 901, 568, 1317, 519, 6677, 22760, 566, 5690, 454, 1038, 15824, 1826, 10992, 547, 2327, 602, 519, 1482, 1843, 2010, 616, 1373, 454, 1038, 3773, 269, 1403, 454, 1038, 519, 1582, 679, 10179, 762, 814, 562, 2609, 543, 519, 679, 10179, 762, 547, 581, 3773, 814, 454, 1038, 544, 2609, 1287, 519, 1826, 10992, 3217, 744, 9852, 333, 264, 942, 563, 1038, 2433, 12407, 679, 10179, 762, 281, 1323, 12055, 762, 1843, 454, 1038, 2433, 8873, 281, 1007, 2037, 10179, 762, 1843, 454, 1038, 8173, 1038, 952, 711, 568, 27349, 263, 523, 10179, 762, 267, 2037, 10179, 762, 274, 2187, 2018, 6318, 7392, 13286, 18692, 3546, 579, 257, 523, 10179, 762, 4661, 1590, 581, 606, 3236, 540, 2037, 10179, 762, 5602, 1038, 585, 3693, 538, 679, 10179, 762, 21606, 912, 2018, 3693, 25292, 815, 1826, 16216, 2211, 994, 2018, 952, 1582, 269, 1415, 10857, 10033, 1535, 281, 1826, 3287, 264, 11203, 3693, 25292, 2187, 3546, 6318, 7392, 13286, 18692, 7386, 579, 257, 6943, 25314, 2255, 1063, 6677, 22760, 730, 679, 10179, 1963, 5602, 1038, 2132, 2037, 10179, 762, 274, 263, 527, 1068, 8962, 269, 7798, 4311, 11519, 11907, 267, 679, 10179, 762, 21606, 11723, 825, 1219, 1895, 318, 2421, 4311, 267, 1883, 5332, 1868, 17342, 3910, 1883, 284, 14433, 1535, 281, 1535, 267, 1267, 6958, 15635, 284, 14433, 1535, 281, 1535, 2187, 1038, 8173, 1038, 20492, 606, 679, 10179, 762, 593, 2016, 1883, 2824, 528, 269, 12039, 540, 1883, 2012, 454, 1038, 14687, 547, 4994, 540, 1883, 25754, 1599, 780, 1038, 26402, 912, 2018, 2037, 10179, 762, 8443, 272, 267, 273, 267, 274, 316, 1040, 16766, 318, 2421, 31107, 5332, 1868, 284, 9131, 573, 28710, 1883, 284, 14433, 1535, 281, 1535, 264, 9041, 454, 3546, 1547, 1729, 8217, 3890, 25341, 2037, 10179, 762, 1843, 1496, 454, 7386, 717, 29470, 1843, 13634, 13376, 1883, 269, 573, 281, 476, 272, 2676, 13376, 9041, 11907, 281, 1496, 272, 2639, 7386, 7684, 2676, 7386, 717, 29470, 1843, 13634, 13376, 1883, 269, 573, 281, 476, 273, 2676, 13376, 9041, 11907, 281, 1496, 273, 2639, 7386, 7684, 2676, 7386, 717, 29470, 1843, 13634, 13376, 1883, 269, 573, 281, 476, 274, 2676, 13376, 9041, 11907, 281, 1496, 274, 2639, 7386, 7684, 454, 3546, 23378, 2018, 4935, 519, 1883, 4408, 585, 1142, 23454, 1843, 666, 581, 26518, 454, 2018, 998, 519, 1883, 3959, 269, 4635, 519, 1657, 1383, 1384, 2018, 2037, 10179, 762, 8443, 272, 267, 273, 267, 274, 316, 1040, 16766, 318, 2421, 31107, 5332, 1868, 284, 9131, 573, 28710, 1883, 284, 14433, 1535, 281, 1535, 264, 9041, 454, 2018, 1547, 572, 937, 10857, 10033, 575, 281, 2715, 1412, 4486, 9166, 575, 269, 4486, 269, 573, 267, 1412, 12248, 9166, 575, 29644, 3890, 7684, 692, 1038, 2433, 12407, 1883, 5332, 1868, 281, 1592, 540, 1883, 4408, 454, 1038, 2433, 12407, 1883, 281, 1883, 2824, 528, 607, 25754, 4082, 454, 1038, 2433, 12407, 1267, 6958, 15635, 281, 25754, 1599, 547, 2981, 1895, 19553, 7765, 883, 454, 1038, 5551, 2497, 454, 1038, 2433, 8873, 281, 2037, 10179, 762, 540, 23454, 3615, 454, 1038, 8173, 1038, 1267, 815, 11713, 1038, 10288, 815, 15044, 4311, 267, 1883, 284, 4486, 994, 1038, 19882, 815, 621, 1068, 8962, 3052, 4981, 2421, 263, 23912, 267, 1883, 994, 1038, 585, 737, 267, 575, 538, 19882, 912, 2018, 666, 318, 523, 636, 4733, 815, 568, 27349, 17347, 267, 1592, 264, 610, 568, 27349, 17347, 267, 24042, 264, 26444, 3546, 543, 7003, 17347, 264, 3436, 476, 271, 454, 2018, 1883, 7272, 1886, 815, 31460, 2018, 585, 1775, 267, 4412, 538, 26246, 31107, 5332, 1868, 2187, 3546, 1883, 7272, 1886, 15630, 29239, 9638, 1886, 267, 737, 5157, 316, 952, 666, 318, 523, 636, 4733, 3116, 737, 994, 2018, 1883, 318, 15953, 815, 6206, 31107, 7272, 1886, 994, 2018, 1267, 6910, 31855, 29470, 274, 31107, 318, 15953, 267, 1592, 14116, 21875, 1038, 2132, 2037, 10179, 762, 274, 31114, 1040, 572, 937, 31114, 6958, 15635, 2020, 825, 1219, 3982, 4311, 267, 1883, 284, 14433, 1535, 281, 1535, 2187, 1038, 8173, 1038, 16849, 679, 10179, 762, 5627, 2609, 602, 616, 3982, 1759, 593, 2016, 454, 1038, 1883, 2824, 528, 454, 1038, 2433, 12407, 1883, 281, 1883, 2824, 528, 607, 25754, 4082, 454, 1038, 2433, 8873, 281, 1007, 2037, 10179, 762, 1843, 454, 1038, 8173, 1038, 2132, 2037, 10179, 762, 274, 4311, 3052, 4981, 318, 2421, 31107, 284, 4486, 1040, 572, 937, 10857, 10033, 575, 281, 575, 8807, 1009, 3890, 1040, 1729, 8217, 31156, 825, 1219, 6443, 18692, 2018, 1582, 2676, 2018, 6418, 318, 523, 10179, 762, 2676, 2018, 9018, 318, 4486, 284, 14433, 1535, 281, 1535, 2676, 2018, 6418, 318, 4486, 284, 14433, 1535, 281, 1535, 2676, 2018, 1267, 6958, 15635, 284, 14433, 1535, 281, 1535, 454, 825, 476, 2187, 1038, 8173, 1038, 17776, 679, 10179, 762, 540, 6418, 1226, 328, 18191, 7765, 1063, 1079, 679, 10179, 1963, 454, 1038, 2433, 12407, 6418, 318, 523, 10179, 762, 281, 6418, 679, 10179, 762, 547, 6443, 547, 1582, 454, 1038, 2433, 12407, 9018, 318, 4486, 281, 1883, 2824, 528, 540, 9018, 679, 10179, 762, 607, 25754, 4082, 454, 1038, 2433, 12407, 6418, 318, 4486, 281, 1883, 2824, 528, 540, 6418, 679, 10179, 762, 607, 25754, 4082, 454, 1038, 2433, 12407, 1267, 6958, 15635, 281, 25754, 4082, 547, 2981, 1267, 540, 6443, 454, 1038, 2433, 8873, 281, 1007, 2037, 10179, 762, 1843, 454, 1038, 8173, 1038, 952, 711, 568, 27349, 263, 27903, 318, 523, 10179, 762, 267, 2037, 10179, 762, 274, 2187, 2018, 6318, 7392, 13286, 18692, 3546, 579, 257, 27903, 318, 523, 10179, 762, 9936, 1590, 581, 606, 3236, 540, 2037, 10179, 762, 4840, 2018, 12467, 1038, 2132, 2037, 10179, 762, 274, 18692, 2018, 621, 1068, 8962, 4877, 6055, 18692, 3546, 6882, 18692, 7386, 25754, 1535, 281, 9018, 318, 4486, 3287, 264, 538, 4786, 263, 27903, 318, 4486, 267, 6418, 318, 523, 10179, 762, 13211, 7386, 1582, 454, 3546, 476, 13211, 3546, 6882, 18692, 7386, 25754, 586, 281, 6418, 318, 4486, 12169, 264, 538, 4786, 263, 537, 614, 318, 4486, 267, 1582, 13211, 7386, 6418, 318, 523, 10179, 762, 454, 3546, 12467, 2018, 12467, 1038, 3738, 315, 454, 2018, 1547, 3602, 10857, 10033, 1535, 281, 9018, 318, 4486, 3287, 314, 271, 8079, 2652, 6418, 318, 4486, 3287, 314, 272, 316, 4297, 315, 454, 2018, 1547, 572, 937, 31114, 6958, 15635, 2020, 825, 1219, 9949, 318, 604, 318, 24105, 4311, 267, 1871, 22561, 2187, 1038, 8173, 1038, 16849, 606, 679, 10179, 762, 5627, 513, 2582, 7183, 3693, 952, 679, 10179, 762, 568, 454, 1038, 8900, 267, 6382, 519, 679, 10179, 762, 3294, 454, 1038, 2433, 8873, 281, 606, 2037, 10179, 762, 1843, 454, 1038, 8173, 1038, 952, 1582, 29644, 3890, 2652, 476, 271, 912, 2018, 2132, 2037, 10179, 762, 274, 8443, 7407, 7481, 1038, 2132, 1582, 692, 825, 1219, 1895, 19553, 7765, 18692, 2018, 1582, 2676, 2018, 6418, 318, 523, 10179, 762, 2676, 2018, 9018, 318, 4486, 284, 14433, 1535, 281, 1535, 2676, 2018, 6418, 318, 4486, 284, 14433, 1535, 281, 1535, 2676, 2018, 1267, 6958, 15635, 284, 14433, 1535, 281, 1535, 454, 825, 476, 2187, 1038, 8173, 1038, 17776, 679, 10179, 762, 540, 1895, 6443, 1063, 1079, 679, 10179, 1963, 454, 1038, 2433, 12407, 6418, 318, 523, 10179, 762, 281, 6418, 679, 10179, 762, 547, 6443, 547, 1582, 454, 1038, 2433, 12407, 9018, 318, 4486, 281, 1883, 2824, 528, 540, 9018, 679, 10179, 762, 607, 25754, 4082, 454, 1038, 2433, 12407, 6418, 318, 4486, 281, 1883, 2824, 528, 540, 6418, 679, 10179, 762, 607, 25754, 4082, 454, 1038, 2433, 12407, 1267, 6958, 15635, 281, 25754, 4082, 547, 2981, 519, 1267, 540, 1895, 454, 1038, 6443, 454, 1038, 2433, 8873, 281, 1007, 2037, 10179, 762, 1843, 454, 1038, 8173, 1038, 952, 711, 568, 27349, 263, 27903, 318, 523, 10179, 762, 267, 2037, 10179, 762, 274, 2187, 2018, 6318, 7392, 13286, 18692, 3546, 579, 257, 27903, 679, 10179, 762, 9936, 1590, 581, 606, 3236, 540, 2037, 10179, 762, 4840, 2018, 12467, 1038, 2132, 2037, 10179, 762, 274, 18692, 2018, 621, 1068, 8962, 4877, 6055, 18692, 3546, 1582, 2676, 3546, 6418, 318, 523, 10179, 762, 269, 29239, 318, 604, 318, 24105, 4590, 2018, 12467, 1038, 15426, 16766, 318, 2421, 18692, 2018, 1883, 5332, 1868, 284, 9131, 573, 11172, 2676, 2018, 1883, 284, 14433, 1535, 281, 9018, 318, 4486, 3287, 314, 271, 316, 13211, 2018, 1267, 6958, 15635, 284, 14433, 575, 281, 27210, 3546, 575, 8807, 1009, 3890, 314, 271, 16689, 3546, 575, 269, 3602, 10857, 10033, 1535, 281, 6418, 318, 4486, 3287, 314, 272, 8079, 2652, 575, 269, 4486, 269, 573, 1040, 572, 937, 18692, 7386, 25754, 1535, 281, 1535, 314, 272, 2639, 3546, 12467, 2018, 12467, 1038, 15426, 572, 937, 31114, 6958, 15635, 2020, 825, 1219, 1022, 4311, 267, 2392, 6510, 2187, 1038, 8173, 1038, 16849, 3020, 952, 1022, 2609, 602, 14183, 2392, 6510, 616, 1336, 454, 1038, 2433, 12407, 2392, 6510, 281, 2783, 547, 14183, 607, 25754, 4082, 454, 1038, 2433, 8873, 281, 1630, 18978, 6936, 610, 8771, 454, 1038, 8173, 1038, 952, 2392, 6510, 568, 7183, 912, 2018, 6318, 715, 1638, 26855, 2163, 13286, 18692, 3546, 579, 257, 335, 1042, 6510, 25754, 4082, 568, 2556, 5602, 1038, 2132, 1582, 269, 3602, 9638, 1042, 6510, 1040, 12248, 3890, 3436, 476, 271, 692, 825, 1219, 12969, 4311, 267, 679, 10179, 762, 267, 1883, 284, 14433, 1535, 281, 1535, 2187, 1038, 8173, 1038, 16849, 679, 10179, 762, 602, 568, 519, 10167, 1063, 2016, 679, 10179, 762, 454, 1038, 543, 1582, 454, 1038, 2433, 12407, 679, 10179, 762, 281, 679, 10179, 762, 1843, 454, 1038, 2433, 12407, 1883, 281, 1883, 2824, 528, 607, 25754, 4082, 454, 1038, 2433, 8873, 281, 1007, 2037, 10179, 762, 1843, 454, 1038, 8173, 1038, 952, 711, 568, 27349, 263, 523, 10179, 762, 267, 2037, 10179, 762, 274, 2187, 2018, 6318, 7392, 13286, 18692, 3546, 579, 257, 523, 10179, 762, 9936, 1590, 581, 606, 3236, 540, 2037, 10179, 762, 5602, 1038, 2132, 1582, 12459, 7765, 263, 523, 10179, 762, 267, 1883, 267, 1883, 1040, 572, 937, 10857, 10033, 1535, 281, 1535, 314, 271, 20285, 825, 1219, 9769, 4311, 267, 679, 10179, 762, 267, 1883, 284, 14433, 1535, 281, 1535, 2187, 1038, 8173, 1038, 16849, 679, 10179, 762, 602, 568, 513, 9769, 540, 2609, 1063, 1582, 543, 2016, 454, 1038, 679, 10179, 762, 454, 1038, 2433, 12407, 679, 10179, 762, 281, 679, 10179, 762, 547, 9769, 1582, 547, 454, 1038, 2433, 12407, 1883, 281, 1883, 2824, 528, 1031, 547, 3313, 22464, 454, 1038, 2433, 8873, 281, 1007, 2037, 10179, 762, 1843, 454, 1038, 8173, 1038, 952, 711, 568, 27349, 263, 523, 10179, 762, 267, 2037, 10179, 762, 274, 2187, 2018, 6318, 7392, 13286, 18692, 3546, 579, 257, 523, 10179, 762, 9936, 1590, 581, 606, 3236, 540, 2037, 10179, 762, 5602, 1038, 952, 1582, 29644, 3890, 2652, 476, 271, 912, 2018, 2132, 679, 10179, 762, 454, 1038, 952, 679, 10179, 762, 29644, 3890, 2652, 476, 271, 912, 2018, 2132, 1582, 454, 1038, 2132, 1582, 26769, 13906, 263, 523, 10179, 762, 1040, 23251, 3307, 31107, 2020, 825, 1219, 4849, 318, 263, 1345, 267, 679, 10179, 762, 267, 1883, 284, 14433, 1535, 281, 1535, 2187, 1038, 8173, 1038, 16849, 679, 10179, 762, 602, 10208, 338, 2016, 679, 10179, 762, 2609, 689, 1582, 454, 1038, 2433, 12407, 679, 10179, 762, 281, 679, 10179, 762, 1843, 454, 1038, 2433, 12407, 1883, 281, 1883, 2824, 528, 607, 25754, 4082, 454, 1038, 2433, 8873, 281, 1007, 2037, 10179, 762, 1843, 454, 1038, 8173, 1038, 952, 711, 568, 27349, 263, 523, 10179, 762, 267, 2037, 10179, 762, 274, 2187, 2018, 6318, 7392, 13286, 18692, 3546, 579, 257, 523, 10179, 762, 9936, 1590, 581, 606, 3236, 540, 2037, 10179, 762, 5602, 1038, 15376, 815, 27210, 2018, 476, 271, 952, 1883, 16216, 2211, 264, 538, 679, 10179, 762, 269, 5793, 4167, 4311, 267, 1883, 1040, 572, 937, 31107, 264, 3116, 476, 272, 454, 2018, 585, 3693, 538, 1582, 454, 1038, 12467, 1038, 2132, 2037, 10179, 762, 274, 18692, 2018, 621, 1068, 8962, 2593, 12304, 18692, 3546, 1582, 2676, 3546, 15376, 454, 2018, 12467, 1038, 25589, 825, 1219, 3568, 4311, 267, 3693, 267, 1883, 284, 14433, 1535, 281, 1535, 2187, 1038, 8173, 1038, 16849, 6936, 952, 3693, 568, 1336, 538, 679 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5622, 630, 301, 344, 551, 756, 3780, 6264, 529, 264, 910, 670, 289, 310, 476, 276, 267, 533, 269, 476, 26482, 454, 23210, 281, 9835, 25592, 6359, 879, 454, 28049, 281, 715, 1112, 756, 1470, 9835, 324, 454, 8448, 1455, 4408, 281, 9835, 8000, 5622, 454, 307, 1314, 16860, 281, 7167, 3234, 592, 326, 639, 6264, 529, 808, 269, 674, 269, 717, 17745, 514, 267, 476, 9965, 280, 267, 595, 599, 26413, 563, 25387, 7608, 14797, 616, 8969, 2685, 4570, 267, 543, 5310, 2099, 8806, 26037, 538, 3376, 10923, 2450, 3466, 543, 1367, 20034, 720, 8390, 269, 3143, 3454, 517, 558, 1227, 6444, 8390, 538, 1034, 540, 3573, 2039, 267, 5103, 1390, 4719, 27754, 593, 6587, 5011, 540, 1656, 525, 543, 2009, 2551, 771, 329, 4233, 1063, 8835, 807, 543, 9533, 4104, 282, 949, 2270, 19888, 8282, 968, 322, 7973, 545, 892, 26908, 269, 5565, 28849, 17895, 8271, 7608, 563, 8138, 14588, 2886, 543, 17392, 912, 268, 1368, 26373, 18424, 8092, 1299, 5576, 738, 345, 267, 476, 3422, 274, 910, 3665, 590, 6792, 267, 30188, 267, 543, 7654, 670, 1180, 32136, 563, 268, 6264, 529, 630, 297, 269, 674, 269, 717, 17745, 514, 267, 476, 9965, 280, 264, 910, 12832, 31804, 7699, 547, 715, 3162, 3013, 267, 1141, 6140, 661, 540, 1656, 525, 2429, 8835, 807, 547, 715, 3474, 16331, 599, 267, 543, 538, 10323, 8478, 282, 949, 2049, 12725, 1063, 8835, 807, 543, 9533, 4104, 4525, 563, 268, 2274, 770, 19634, 333, 2037, 26171, 4786, 454, 309, 23450, 8450, 782, 476, 1428, 7044, 454, 288, 2070, 540, 513, 21765, 887, 24031, 6177, 16511, 1275, 2052, 4878, 18975, 267, 1924, 828, 534, 17144, 2817, 5244, 267, 24861, 630, 1087, 335, 6264, 529, 994, 291, 1511, 12722, 476, 279, 4989, 476, 1220, 278, 476, 276, 1296, 3516, 476, 736, 3813, 476, 274, 269, 278, 454, 2304, 2937, 543, 513, 7105, 693, 922, 9566, 267, 1164, 538, 513, 3529, 16511, 1275, 5842, 328, 700, 17690, 267, 20957, 961, 3570, 19435, 267, 28130, 630, 1087, 335, 6264, 529, 994, 297, 846, 335, 1642, 670, 1195, 334, 476, 1789, 4864, 476, 1220, 278, 476, 276, 1296, 3516, 476, 5655, 3813, 476, 274, 269, 278, 454, 288, 829, 3481, 6177, 693, 3781, 267, 13713, 2982, 922, 4064, 16511, 1275, 1924, 828, 534, 17144, 2817, 5244, 267, 24861, 630, 1087, 335, 6264, 529, 994, 297, 10224, 5842, 629, 6319, 476, 272, 5437, 476, 1001, 271, 476, 273, 1296, 3516, 476, 1789, 3813, 476, 274, 269, 275, 454, 288, 6177, 829, 3481, 593, 513, 3529, 16511, 1275, 8835, 807, 700, 17690, 267, 24230, 10722, 760, 1092, 9503, 267, 2494, 340, 4437, 14459, 15944, 267, 8496, 516, 632, 667, 3930, 4972, 267, 18475, 630, 1087, 335, 6264, 529, 994, 309, 597, 326, 559, 1470, 962, 5451, 8663, 2836, 1457, 11252, 476, 1428, 4864, 476, 1220, 273, 476, 278, 1296, 3516, 476, 1015, 3813, 476, 274, 269, 275, 454, 288, 6177, 5329, 1869, 593, 513, 1164, 7936, 16511, 1275, 24861, 630, 1087, 335, 6264, 529, 994, 305, 580, 18484, 4354, 4471, 476, 2764, 5988, 476, 1220, 272, 476, 276, 1296, 3516, 476, 1321, 3813, 476, 274, 454, 2304, 1367, 829, 3481, 593, 513, 3529, 16511, 1275, 23202, 534, 531, 267, 4223, 334, 717, 4592, 810, 3557, 267, 8478, 630, 1087, 335, 6264, 529, 994, 297, 846, 335, 1642, 670, 1195, 334, 476, 1691, 4873, 476, 1220, 272, 476, 1015, 1296, 3516, 476, 1704, 3813, 476, 274, 454, 21900, 657, 8450, 782, 476, 1428, 6337, 454, 3849, 738, 829, 3481, 593, 513, 6529, 563, 299, 665, 1275, 2494, 320, 267, 3943, 2871, 10005, 630, 1087, 335, 6264, 529, 994, 15031, 4459, 16016, 3153, 879, 476, 2537, 4864, 476, 1220, 279, 476, 273, 1296, 3516, 476, 274, 269, 276, 454, 15124, 8000, 30139, 630, 611, 738, 543, 11174, 264, 693, 24817, 887, 739, 454, 299, 665, 1275, 13845, 334, 13812, 4741, 267, 20957, 961, 3570, 19435, 267, 28130, 454, 305, 517, 18307, 7356, 476, 1556, 5181, 476, 1220, 279, 476, 275, 1296, 3516, 476, 274, 269, 276, 454, 23149, 829, 3481, 593, 513, 7936, 887, 24031, 1282, 519, 21765, 3108, 563, 299, 665, 1275, 589, 1066, 531, 3148, 267, 1325, 1690, 21731, 19435, 267, 22728, 28573, 454, 300, 597, 3554, 13391, 3861, 476, 277, 5988, 476, 1001, 272, 476, 273, 1296, 3516, 476, 274, 269, 276, 454, 299, 665, 1275, 5842, 21280, 2946, 1642, 2871, 822, 328, 732, 267, 2871, 822, 328, 732, 4972, 267, 21896, 630, 1087, 335, 6264, 529, 994, 2742, 584, 545, 1470, 678, 4240, 320, 476, 1704, 4728, 476, 1001, 273, 476, 272, 1032, 3516, 476, 274, 269, 275, 454, 291, 832, 531, 2070, 540, 829, 3481, 6177, 454, 299, 665, 1275, 3212, 3899, 13607, 267, 20368, 541, 756, 334, 267, 20368, 541, 756, 334, 10588, 267, 5080, 514, 877, 630, 1087, 335, 6264, 529, 994, 300, 1731, 14150, 12877, 327, 7564, 331, 7564, 476, 2764, 4989, 476, 1001, 273, 476, 272, 1032, 3516, 476, 274, 269, 275, 454, 611, 738, 12008, 593, 513, 25032, 540, 3529, 454, 299, 665, 1275, 3213, 329, 26433, 3557, 267, 27816, 454, 293, 518, 3757, 28446, 638, 3266, 476, 1015, 5147, 476, 1001, 271, 476, 273, 1296, 3516, 476, 274, 269, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 4017, 1120, 20199, 28457, 748, 1507, 27576, 834, 536, 834, 28457, 748, 1507, 4017, 1120, 20199, 27576, 834, 15017, 288, 281, 536, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 7296, 4009, 3574, 17681, 17774, 4580, 834, 536, 834, 17681, 4009, 3574, 7296, 17774, 4580, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 1659, 995, 5420, 20695, 1007, 30645, 4189, 21489, 834, 536, 834, 1007, 1659, 995, 30645, 5420, 20695, 4189, 21489, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 10538, 19482, 15144, 15337, 1014, 3032, 834, 536, 834, 10538, 15337, 1014, 15144, 19482, 3032, 834, 15017, 288, 281, 536, 0, 454, 304, 281, 834, 3674, 12049, 513, 23013, 540, 7917, 286, 1772, 15608, 1644, 547, 7585, 286, 769, 1804, 3885, 267, 621, 568, 3006, 2352, 547, 1832, 3950, 540, 782, 835, 781, 14077, 269, 634, 1739, 4661, 11394, 547, 12172, 930, 971, 1894, 281, 3689, 540, 782, 267, 14977, 2401, 568, 711, 513, 1362, 22940, 540, 667, 1551, 514, 269, 8921, 267, 1100, 1900, 15842, 750, 540, 8355, 658, 543, 1100, 11515, 540, 15535, 568, 513, 1362, 22940, 540, 667, 1551, 514, 269, 769, 12343, 267, 14977, 2401, 568, 513, 1900, 15842, 750, 540, 8355, 658, 610, 606, 11515, 540, 15535, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 288, 281, 23380, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 1018, 547, 798, 609, 2025, 267, 588, 1446, 3694, 454, 288, 269, 1118, 3694, 322, 5300, 2125, 538, 513, 1426, 16267, 3248, 289, 269, 1118, 3694, 322, 5300, 2125, 538, 513, 10051, 4660, 3575, 518, 454, 12585, 281, 589, 0, 454, 304, 281, 7705, 267, 7585, 267, 1849, 18311, 267, 25272, 267, 543, 18832, 616, 4730, 513, 3014, 269, 2311, 519, 1376, 540, 519, 3014, 267, 789, 616, 1142, 8066, 513, 3440, 281, 7705, 814, 513, 6960, 3440, 267, 7585, 814, 513, 13711, 3440, 267, 1849, 18311, 814, 513, 3039, 3440, 267, 25272, 814, 513, 3043, 3440, 267, 543, 18832, 814, 513, 4544, 3440, 269, 8528, 2026, 519, 3014, 22264, 267, 8424, 540, 5716, 4123, 11084, 269, 3689, 267, 7705, 543, 1849, 18311, 23396, 11084, 269, 3973, 267, 25272, 543, 7705, 23396, 11084, 269, 3973, 267, 7585, 543, 18832, 23396, 11084, 269, 3973, 267, 1849, 18311, 543, 18832, 23396, 11084, 269, 7053, 267, 7705, 543, 25272, 23396, 11084, 269, 2311, 519, 1439, 540, 519, 3014, 267, 18832, 814, 519, 3097, 288, 281, 6960, 3440, 269, 0, 9223, 281, 1879, 9652, 1572, 1586, 267, 519, 9614, 4607, 1864, 1360, 1135, 7019, 269, 834, 6546, 568, 513, 1034, 7415, 3282, 596, 4547, 721, 267, 6004, 9652, 2437, 646, 1767, 269, 9652, 21330, 1010, 5347, 267, 4158, 2212, 269, 2334, 729, 1945, 646, 6785, 1360, 1134, 269, 834, 296, 4312, 2760, 2938, 4376, 899, 621, 2437, 519, 9614, 15861, 269, 9652, 21330, 1586, 269, 834, 5591, 8119, 646, 1767, 1135, 7019, 269, 3973, 646, 3773, 267, 834, 3719, 594, 1589, 596, 786, 267, 27205, 269, 589, 1360, 1390, 4308, 540, 621, 1701, 1261, 7902, 547, 1589, 585, 513, 4090, 269, 834, 296, 1589, 596, 786, 1265, 621, 786, 581, 593, 9042, 5722, 267, 5310, 267, 5216, 1296, 689, 1631, 1701, 1261, 20493, 269, 634, 9614, 2219, 602, 729, 7334, 269, 1261, 1767, 267, 834, 2005, 568, 1732, 982, 938, 3165, 11041, 269, 594, 16153, 602, 1701, 834, 3383, 594, 993, 5143, 267, 27205, 2437, 8815, 9652, 269, 834, 5970, 596, 1022, 4566, 547, 3132, 621, 3054, 267, 6004, 9652, 8119, 9652, 20493, 1586, 269, 834, 25898, 594, 581, 6029, 621, 547, 596, 952, 594, 1185, 8119, 834, 2171, 1522, 1039, 930, 6464, 547, 835, 540, 938, 1378, 3165, 11041, 2437, 1767, 519, 9614, 269, 834, 2005, 1131, 581, 7199, 547, 798, 602, 267, 1256, 952, 596, 1223, 1701, 9652, 1767, 9900, 269, 834, 24916, 2437, 646, 3773, 267, 834, 296, 993, 5143, 602, 713, 3282, 786, 581, 1454, 14949, 982, 707, 1655, 3165, 11041, 269, 4258, 1653, 982, 1022, 10448, 3282, 267, 538, 1249, 1701, 834, 22818, 2437, 1767, 519, 9614, 269, 834, 11039, 267, 594, 15475, 596, 1616, 547, 1118, 606, 11460, 267, 6004, 9652, 267, 1744, 718, 649, 1865, 621, 8119, 834, 8170, 1576, 2437, 1767, 9652, 269, 834, 2467, 616, 1079, 2081, 540, 7231, 609, 513, 3510, 540, 713, 4990, 269, 634, 8912, 835, 568, 547, 2061, 621, 15587, 610, 693, 2547, 547, 8488, 621, 607, 1279, 607, 2009, 269, 2334, 568, 267, 540, 1576, 267, 519, 1655, 1259, 2437, 634, 9614, 21330, 269, 1261, 6785, 7899, 827, 782, 602, 269, 834, 3719, 594, 993, 865, 20994, 585, 596, 267, 1317, 267, 596, 1294, 267, 602, 568, 711, 2009, 713, 942, 1701, 634, 9614, 1185, 1010, 22027, 267, 855, 782, 646, 1767, 729, 606, 22679, 3931, 263, 27965, 1070, 834, 17764, 8119, 834, 763, 824, 1259, 2437, 4797, 9652, 267, 834, 529, 547, 3132, 3054, 1354, 519, 8373, 6238, 1701, 9652, 4951, 1010, 1007, 3282, 547, 519, 9614, 1317, 646, 4941, 567, 9041, 476, 4586, 288, 269, 547, 3132, 621, 5128, 454, 289, 269, 547, 2061, 621, 1373, 3812, 454, 290, 269, 547, 581, 6976, 711, 547, 3132, 621, 454, 291, 269, 519, 9614, 547, 3132, 621, 454, 12585, 281, 667, 0, 454, 9223, 281, 834, 2080, 2501, 513, 9985, 4570, 4661, 281, 1677, 1376, 609, 267, 1169, 23507, 337, 540, 681, 269, 4077, 2401, 16211, 14662, 945, 568, 606, 4274, 540, 27699, 23577, 807, 16217, 3873, 568, 711, 513, 25058, 324, 540, 7464, 28925, 18435, 269, 1924, 267, 8209, 267, 1100, 25058, 324, 540, 7464, 28925, 18435, 568, 606, 23507, 337, 540, 681, 269, 4077, 2401, 16211, 14662, 610, 606, 4274, 540, 27699, 23577, 807, 16217, 3873, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 476, 932, 7860, 281, 3097, 288, 269, 4570, 454, 289, 269, 23380, 454, 12585, 281, 645, 0, 9223, 281, 769, 519, 4670, 1412, 9558, 845, 619, 3299, 945, 4249, 1412, 11990, 918, 11839, 3299, 519, 2475, 14199, 540, 4347, 775, 888, 12585, 281, 795, 517, 21350, 697 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10908, 1601, 344, 3613, 541, 13530, 782, 540, 1016, 25781, 4000, 454, 289, 8674, 540, 713, 12593, 616, 1634, 585, 741, 11495, 3352, 1938, 1417, 20034, 720, 267, 799, 2882, 18707, 540, 4544, 267, 3039, 267, 543, 13711, 269, 1358, 616, 851, 540, 519, 5182, 1782, 1920, 267, 853, 1248, 13160, 267, 543, 616, 1419, 1336, 538, 1166, 4169, 269, 700, 2086, 8527, 1941, 529, 2249, 616, 9631, 16622, 5387, 543, 723, 513, 9867, 2732, 267, 1519, 7786, 267, 4829, 267, 543, 5452, 269, 1358, 616, 849, 1271, 538, 519, 5117, 267, 4730, 513, 1909, 538, 9013, 5521, 5095, 543, 12165, 532, 5452, 563, 5278, 2249, 267, 971, 607, 519, 8738, 23025, 779, 10060, 1782, 267, 616, 1455, 543, 7839, 267, 1247, 1866, 616, 811, 4686, 543, 11658, 547, 1808, 9249, 269, 11094, 3646, 267, 1519, 7226, 4027, 543, 2069, 3292, 267, 616, 1271, 538, 4180, 519, 4797, 6668, 540, 891, 10875, 5017, 269, 0, 268, 2334, 782, 4830, 10092, 1369, 513, 9074, 723, 1044, 27361, 693, 2547, 2899, 563, 268, 2353, 9266, 3664, 20240, 593, 741, 3020, 543, 7301, 2418, 563, 268, 2353, 17787, 13401, 693, 741, 6302, 543, 1369, 741, 10512, 23451, 4835, 1239, 3889, 14496, 563, 2414, 3605, 519, 1739, 2010, 540, 12961, 912, 268, 8298, 673, 5470, 4043, 547, 28869, 883, 938, 960, 950, 649, 1374, 543, 2936, 3252, 267, 2175, 610, 8060, 602, 616, 856, 540, 519, 1982, 454, 268, 634, 1374, 6959, 1813, 547, 3017, 1063, 9266, 2095, 540, 519, 1982, 543, 519, 4890, 6388, 454, 268, 11978, 7240, 6959, 543, 16105, 10992, 0, 10403, 4647, 11062, 30312, 17698, 11061, 630, 274, 6113, 9990, 264, 2854, 676, 21563, 534, 23778, 543, 8935, 326, 12070, 5112, 269, 901, 1837, 814, 1044, 2854, 547, 948, 596, 538, 707, 1353, 540, 7998, 547, 11062, 30312, 17698, 269, 634, 1114, 11271, 538, 713, 1433, 616, 8237, 909, 883, 2110, 3584, 269, 2311, 519, 1439, 540, 1082, 540, 891, 3584, 616, 2055, 547, 1449, 2436, 596, 723, 6956, 1018, 596, 723, 1224, 269, 2311, 519, 1439, 540, 1142, 3184, 972, 616, 3677, 1353, 2055, 269, 8347, 547, 2626, 607, 1082, 540, 519, 2055, 607, 596, 666, 607, 596, 2097, 2066, 873, 1317, 6998, 543, 16460, 2055, 568, 693, 519, 2295, 540, 707, 1353, 540, 7998, 563, 5278, 2055, 538, 519, 2511, 540, 11062, 30312, 17698, 6514, 4574, 616, 3769, 693, 519, 1439, 540, 519, 1433, 269, 769, 1082, 2665, 789, 616, 2966, 547, 1449, 707, 2702, 547, 4019, 707, 3114, 1702, 269, 634, 2055, 949, 1683, 1978, 5013, 543, 2307, 596, 547, 1118, 606, 7664, 540, 873, 269, 769, 971, 2665, 267, 519, 23610, 1344, 949, 711, 581, 4988, 538, 519, 1257, 563, 2414, 948, 2721, 3007, 547, 519, 811, 1271, 1913, 267, 3621, 2474, 616, 9102, 538, 12050, 519, 1101, 942, 789, 616, 1031, 269, 1703, 616, 849, 2638, 29812, 693, 519, 1439, 540, 1142, 3184, 9034, 2358, 519, 1271, 2798, 4988, 269, 1306, 596, 1224, 998, 519, 1433, 267, 596, 786, 5469, 1614, 12204, 540, 26484, 1858, 538, 519, 1257, 563, 268, 634, 28634, 2470, 540, 2339, 454, 268, 15689, 267, 7135, 543, 8097, 2553, 454, 268, 26994, 2497, 543, 16345, 454, 268, 853, 334, 24734, 5852, 1107, 3114, 9273, 454, 268, 24542, 543, 7998, 454, 268, 11906, 10069, 7497, 454, 268, 11906, 6547, 454, 268, 3600, 1749, 267, 13279, 543, 20919, 454, 268, 634, 11270, 545, 7305, 454, 268, 5794, 543, 1216, 454, 268, 769, 16955, 3327, 7998, 454, 268, 17667, 7998, 476, 272, 454, 268, 17667, 7998, 476, 273, 454, 268, 21885, 7998, 454, 10403, 4647, 11062, 30312, 17698, 11061, 676, 21563, 534, 23778, 543, 8935, 326, 12070, 5112, 538, 7824, 689, 1739, 4647, 6402, 563, 30747, 569, 1246, 519, 5528, 547, 12260, 519, 4647, 3095, 4433, 1040, 590, 2210, 830, 4647, 3095, 4433, 264, 568, 270, 732, 711, 7298, 593, 5985, 3457, 267, 865, 952, 596, 3068, 713, 3390, 267, 24963, 798, 3643, 713, 2985, 3842, 15291, 7933, 525, 330, 9008, 2780, 563, 2791, 949, 849, 899, 547, 1863, 4647, 912, 268, 11062, 30312, 17698, 11061, 630, 275, 628, 7160, 264, 30363, 676, 21563, 534, 23778, 543, 8935, 326, 12070, 5112, 538, 7824, 454, 268, 11062, 30312, 17698, 543, 744, 5426, 13159, 11061, 9906, 3883, 630, 275, 628, 7160, 264, 30363, 676, 14986, 11321, 773, 11829, 698, 615, 543, 6754, 769, 13559, 538, 7824, 454, 268, 11062, 30312, 17698, 11061, 5530, 543, 31280, 6651, 630, 274, 6113, 7160, 264, 2854, 676, 6424, 645, 612, 518, 538, 7824, 454, 10403, 8281, 25569, 338, 540, 7454, 4149, 2454, 11061, 7734, 689, 28313, 563, 303, 2529, 281, 1403, 519, 4647, 3095, 4433, 264, 568, 270, 732, 711, 2324, 267, 24963, 6749, 513, 6085, 2630, 267, 865, 649, 3580, 9337, 519, 4647, 3095, 585, 596, 269, 0, 10112, 1115, 616, 15889, 610, 30608, 3688, 513, 1870, 22595, 610, 8060, 519, 1870, 3096, 891, 3688, 547, 3132, 1871, 267, 543, 519, 3688, 723, 2804, 1871, 269, 2755, 15889, 7221, 616, 2168, 267, 1875, 2389, 26143, 7221, 616, 2924, 602, 5512, 513, 1870, 547, 14526, 3927, 269, 2667, 1115, 666, 849, 581, 1699, 610, 1875, 268, 9690, 269, 7351, 7221, 6556, 1871, 547, 513, 1870, 936, 513, 2110, 1974, 267, 2356, 1369, 513, 2582, 2883, 1032, 269, 6348, 268, 9690, 7221, 267, 593, 519, 824, 1688, 267, 666, 6556, 2804, 1871, 547, 513, 6109, 585, 811, 982, 513, 2582, 2883, 1032, 269, 9149, 3809, 17663, 519, 17185, 540, 513, 1870, 547, 15093, 2104, 2804, 2640, 547, 824, 1870, 9988, 282, 2250, 1870, 2621, 543, 8852, 2014, 891, 13800, 267, 543, 23928, 873, 3340, 513, 1870, 547, 6556, 2104, 2804, 2640, 998, 267, 585, 3236, 267, 3246, 2533, 267, 610, 1210, 930, 540, 922, 7221, 563, 763, 7221, 513, 1870, 19299, 2285, 4473, 547, 1585, 6811, 891, 6811, 1267, 689, 519, 1935, 519, 1870, 1031, 547, 2508, 922, 7221, 269, 634, 5411, 540, 513, 1870, 666, 3565, 519, 7482, 1031, 547, 6718, 519, 7221, 269, 12846, 267, 519, 1870, 666, 1651, 584, 20824, 547, 10536, 1978, 7221, 269, 1280, 3236, 267, 513, 1870, 11769, 666, 10210, 2724, 689, 513, 2883, 9872, 543, 946, 621, 547, 10536, 2030, 543, 12227, 269, 634, 3017, 1063, 519, 1870, 5411, 3409, 593, 519, 7221, 543, 519, 6811, 4611, 689, 20824, 13408, 9698, 269, 1280, 1383, 267, 952, 2030, 543, 12227, 12595, 693, 1269, 1015, 267, 1822, 568, 519, 1152, 10697, 513, 1870, 22595, 267, 543, 519, 5411, 8329, 1269, 277, 267, 1822, 2509, 519, 6191, 6718, 1247, 5491, 832, 3177, 519, 6967, 7482, 267, 519, 9698, 538, 602, 1870, 568, 1269, 1015, 267, 1822, 910, 1269, 275, 267, 1822, 815, 1269, 277, 267, 1822, 269, 769, 930, 8320, 267, 9698, 666, 581, 519, 1482, 607, 2121, 7221, 1317, 2121, 7221, 616, 2698, 7221, 1447, 519, 20824, 16109, 689, 1346, 7221, 563, 763, 1614, 2596, 2883, 6898, 540, 513, 1870, 616, 519, 4747, 3948, 267, 519, 3948, 540, 2883, 2990, 543, 519, 6666, 2095, 3948, 269, 634, 4747, 3948, 5359, 1344, 593, 519, 4747, 267, 9276, 543, 7443, 540, 513, 1870, 13055, 936, 513, 2016, 1974, 269, 1280, 513, 1870, 547, 1685, 922, 4295, 23626, 267, 621, 814, 547, 22738, 1978, 5665, 2238, 269, 6875, 519, 2013, 540, 606, 813, 28328, 10685, 518, 269, 853, 12177, 813, 28328, 8637, 3340, 519, 10685, 518, 547, 267, 1851, 1866, 267, 2707, 585, 813, 28328, 7727, 267, 16926, 4558, 7390, 1218, 547, 10891, 813, 28328, 538, 519, 4558, 543, 948, 5561, 6300, 269, 21952, 2238, 5352, 8907, 543, 2014, 513, 1870, 547, 1651, 584, 9276, 269, 1403, 513, 1870, 568, 547, 7500, 7443, 2406, 267, 519, 8907, 689, 4238, 1058, 2628, 782, 519, 5665, 9276, 269, 769, 2665, 1141, 519, 8907, 8813, 2110, 540, 519, 5665, 9276, 267, 1870, 2306, 513, 2530, 563, 763, 3948, 540, 2883, 2990, 5359, 519, 7221, 267, 20824, 543, 5411, 9698, 540, 513, 1870, 936, 513, 2016, 1974, 269, 24371, 2154, 7221, 585, 741, 4238, 269, 1280, 3236, 267, 513, 10685, 10661, 2115, 11647, 543, 3514, 14005, 547, 7500, 3927, 269, 769, 519, 1576, 540, 1870, 4238, 267, 13800, 547, 15093, 2104, 2804, 2640, 267, 543, 8754, 20824, 267, 8451, 282, 513, 1870, 1522, 267, 1851, 1866, 267, 10210, 7482, 547, 8804, 2110, 3856, 6666, 2095, 2115, 267, 610, 4309, 8569, 585, 5370, 610, 2533, 621, 814, 711, 9447, 2943, 269, 634, 3948, 540, 2883, 2990, 2982, 875, 2242, 538, 7221, 543, 20824, 936, 513, 2016, 1974, 4299, 513, 1870, 11769, 338, 2883, 7555, 269, 27814, 267, 782, 20824, 543, 519, 5411, 9698, 1058, 723, 519, 1482, 1871, 607, 519, 2698, 7221, 269, 1403, 2698, 20824, 543, 5411, 9698, 9765, 7221, 267, 513, 1870, 1522, 711, 581, 20019, 3280, 563, 763, 6666, 2095, 3948, 6799, 1344, 593, 6666, 8928, 513, 1870, 12236, 689, 922, 5665, 267, 14104, 543, 10115, 2238, 269, 22418, 2095, 689, 5665, 2238, 2882, 519, 8907, 689, 4238, 543, 519, 5665, 9276, 513, 1870, 1651, 2720, 936, 513, 2016, 1974, 267, 1247, 6666, 2095, 689, 10115, 2238, 13408, 519, 6666, 513, 1870, 22939, 593, 267, 543, 1274, 985, 689, 267, 519, 11601, 543, 12871, 540, 7221, 269, 5685, 3496, 2238, 267, 593, 519, 824, 1688, 267, 27167, 519, 27147, 543, 8569, 540, 7482, 282, 6666, 8928, 689, 971, 2238, 1331, 267, 1851, 1866, 267, 2256, 328, 14186, 540, 519, 23131, 540, 5010, 12029, 267, 543, 16468, 540, 4967, 2628, 762, 269, 634, 6666, 2095, 3948, 2337, 538, 10451, 513, 4605, 540, 519, 6666, 2990, 540, 513, 1870, 1945, 602, 519, 4747, 3948, 3112, 798, 1134, 269, 2368, 3688, 3769, 538, 7384, 519, 2121, 4747, 798, 711, 2992, 519, 3020, 6666, 2990, 540, 513, 1870, 269, 1280, 3236, 267, 28595, 568, 3769, 607, 606, 5665, 13258, 950, 7384, 519, 2121, 4747, 267, 2943, 267, 538, 4052, 2474, 28595, 1281, 711, 27167, 513, 6666, 2095, 563, 3080, 2115, 547, 917, 519, 1974, 4988, 676, 2883, 6898, 1354, 789, 666, 1118, 513, 4570, 2079, 540, 513, 1870, 11769, 338, 2783, 269, 11038, 6898, 666, 3382, 513, 10116, 267, 3368, 267, 610, 2407, 2883, 1032, 269, 1879, 9236, 2883, 6898, 267, 621, 568, 1271, 547, 2327, 519, 5712, 835, 568, 9236, 616, 5812, 269, 1280, 3236, 267, 835, 3112, 17589, 513, 4570, 7447, 540, 6455, 2208, 689, 9236, 519, 24826, 4080, 538, 606, 1439, 4458, 4747, 3948, 547, 519, 24826, 8612, 538, 519, 4747, 3948, 585, 519, 7766, 10116, 569, 1974, 269, 589, 1434, 7447, 540, 6455, 2208, 3340, 513, 6476, 540, 519, 24826, 538, 1079, 610, 811, 2407, 4458, 267, 10116, 4458, 267, 610, 3368, 4458, 5712, 563, 2252, 596, 616, 519, 3312, 2278, 540, 713, 1557, 543, 1100, 3476, 6999, 547, 723, 621, 3370, 593, 519, 2852, 22967, 23116, 14492, 3896, 267, 5225, 4945, 2630, 547, 7662, 922, 8851, 912, 268, 3194, 7433, 12726, 281, 11038, 27561, 543, 5811, 540, 15593, 7773, 5261, 7577, 454, 268, 4828, 593, 17148, 17497, 18748, 532, 9314, 26162, 454, 268, 17886, 289, 6938, 16739, 6789, 12569, 5746, 28714, 23166, 674, 23177, 454, 268, 6092, 4518, 593, 17721, 5685, 3496, 19541, 454, 268, 16684, 12834, 540, 519, 12983, 674, 3166, 910, 589, 8865, 5530, 540, 13022, 756, 1678, 454, 268, 9046, 14572, 7433, 7151, 593, 9099, 30914, 454, 268, 634, 25968, 12525, 910, 21261, 894, 4828, 7151, 0, 268, 634, 17943, 540, 15894, 590, 13990, 454, 268, 634, 12866, 22020, 540, 513, 15894, 24143, 454, 268, 634, 8422, 15894, 645, 675, 9476, 454, 268, 25947, 2659, 15894, 24143, 454, 288, 5491, 6060, 568, 513, 10230, 4082, 1759, 593, 513, 8579, 2079, 540, 513, 1268, 779, 5491, 6119, 267, 547, 2099, 519, 5491, 10290, 1465, 540, 602, 1268, 563, 13425, 719, 713, 3381, 912, 763, 17943, 540, 15894, 590, 13990, 454, 7312, 5491, 6060, 568, 513, 1883, 851, 540, 707, 2883, 1072, 269, 898, 779, 513, 1297, 602, 32225, 946, 547, 6430, 2436, 547, 2285, 596, 513, 10211, 543, 1018, 1719, 2557, 547, 5279, 269, 589, 1164, 5491, 6060, 1797, 596, 2461, 513, 1970, 16151, 10210, 518, 267, 799, 1223, 1291, 547, 513, 2539, 1719, 2557, 593, 513, 10211, 269, 589, 1970, 5491, 6060, 1223, 1291, 547, 513, 2362, 1719, 2557, 543, 1223, 1611, 596, 4465, 1406, 581, 9516, 585, 513, 10211, 693, 782, 269, 769, 713, 2376, 267, 649, 3580, 3382, 519, 9238, 540, 5491, 8464, 543, 875, 789, 2461, 7229, 563, 1432, 568, 513, 5491, 6060, 888, 288, 5491, 6060, 568, 513, 1297, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]