Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 811, 12666, 22477, 13584, 590, 21355, 15011, 25428, 3576, 519, 17599, 267, 14322, 519, 2140, 15011, 25428, 17886, 269, 1261, 21892, 20422, 15024, 547, 2413, 1125, 25448, 267, 543, 1480, 8573, 2074, 2594, 540, 519, 2197, 4824, 6825, 569, 269, 3080, 540, 519, 1007, 4622, 781, 1101, 6411, 729, 547, 1863, 5111, 476, 279, 267, 1822, 2797, 14586, 543, 2569, 519, 5220, 540, 1776, 476, 1789, 267, 1822, 269, 1261, 849, 3964, 513, 10243, 547, 22771, 3885, 540, 7508, 2797, 15628, 543, 1866, 16271, 547, 17062, 30969, 563, 1103, 5181, 476, 1220, 273, 267, 1007, 15424, 12836, 941, 4371, 267, 543, 519, 31012, 5742, 540, 15019, 17086, 630, 4785, 17025, 264, 4465, 513, 32469, 269, 4139, 24319, 9833, 519, 12836, 607, 1863, 543, 4023, 267, 15663, 519, 9000, 540, 519, 12150, 885, 602, 1185, 12735, 4240, 519, 476, 1960, 278, 12836, 269, 769, 2904, 476, 1220, 274, 267, 538, 8956, 540, 519, 4332, 540, 513, 5067, 267, 519, 4622, 10288, 519, 5305, 540, 476, 280, 267, 1822, 14586, 543, 519, 5786, 540, 476, 4343, 267, 1822, 5220, 269, 4746, 538, 476, 1220, 274, 267, 7137, 828, 25082, 6044, 729, 5189, 538, 3119, 3506, 267, 1991, 547, 10962, 621, 693, 782, 3872, 2157, 563, 1103, 4728, 476, 1220, 271, 267, 2021, 781, 2516, 6896, 23405, 538, 15887, 520, 3981, 532, 15024, 547, 519, 3656, 4567, 540, 2021, 538, 519, 2197, 269, 476, 1220, 267, 1822, 547, 476, 4968, 267, 1822, 2021, 13984, 267, 10912, 585, 513, 7333, 593, 21657, 18081, 267, 543, 519, 4367, 540, 3540, 16028, 1876, 269, 7212, 513, 4831, 24683, 2970, 566, 13631, 476, 1220, 267, 1822, 547, 476, 6110, 267, 1822, 5171, 267, 519, 3350, 729, 9565, 593, 3751, 15011, 25428, 267, 543, 646, 21892, 513, 1007, 631, 644, 1177, 3570, 2073, 610, 1920, 1876, 267, 538, 2038, 476, 1220, 275, 267, 5870, 930, 540, 519, 7569, 540, 2021, 781, 2924, 15628, 563, 1103, 5147, 476, 1220, 273, 267, 513, 6433, 13264, 856, 609, 8050, 936, 513, 1507, 267, 796, 514, 4725, 1243, 6532, 14084, 1175, 1447, 982, 476, 1220, 7397, 689, 519, 21185, 4754, 5032, 267, 3957, 570, 2227, 610, 2274, 10042, 676, 5651, 11484, 753, 543, 28828, 329, 559, 676, 8050, 269, 2991, 25019, 676, 519, 2136, 2276, 267, 1312, 25448, 543, 8050, 8815, 547, 2132, 547, 519, 4567, 28943, 267, 896, 799, 519, 6532, 3788, 9390, 539, 563, 12421, 14260, 267, 25448, 814, 9738, 2178, 13218, 547, 519, 4639, 269, 898, 729, 835, 540, 519, 1101, 6259, 543, 9099, 2829, 547, 3954, 8784, 519, 476, 280, 270, 1556, 22681, 6285, 593, 519, 2136, 2276, 563, 1103, 2904, 476, 1220, 274, 267, 5771, 626, 11980, 17177, 1499, 8195, 13351, 513, 3126, 540, 4609, 538, 16629, 629, 331, 4545, 320, 267, 11318, 476, 3393, 543, 3614, 1005, 811, 982, 476, 1911, 1866, 269, 634, 21185, 4754, 2229, 15527, 609, 513, 11523, 6658, 1996, 5771, 626, 17119, 1235, 267, 6038, 10654, 532, 1896, 8536, 267, 21991, 5024, 476, 272, 267, 1220, 267, 543, 2366, 9760, 827, 476, 12010, 269, 16952, 10654, 338, 4553, 538, 4873, 476, 1220, 275, 269, 2334, 1482, 3923, 267, 519, 2136, 2276, 11280, 25448, 513, 2101, 1875, 9539, 2180, 9533, 15521, 9257, 24343, 267, 17548, 602, 621, 729, 538, 6284, 540, 922, 3646, 547, 555, 23702, 3486, 18483, 269, 2201, 476, 272, 5130, 476, 1220, 277, 267, 513, 3102, 24845, 1863, 4123, 6876, 1063, 519, 2136, 2276, 543, 25448, 3576, 1198, 269, 1496, 11239, 2877, 9948, 763, 6876, 1185, 1044, 9896, 538, 476, 1220, 275, 2059, 609, 513, 2147, 6876, 609, 519, 3864, 5742, 267, 25448, 781, 1292, 4123, 7649, 563, 28074, 540, 519, 1686, 540, 27988, 807, 814, 3144, 1747, 593, 519, 15417, 9381, 10750, 540, 3345, 4000, 267, 799, 568, 1419, 1572, 519, 7395, 327, 516, 321, 269, 3345, 4000, 6039, 607, 513, 18302, 3148, 585, 1004, 3001, 2509, 2342, 610, 519, 5664, 5101, 267, 3976, 267, 519, 3148, 781, 11317, 723, 1044, 6766, 676, 5095, 689, 824, 2127, 267, 1519, 519, 2961, 628, 698, 29562, 267, 14564, 267, 543, 966, 663, 1023, 269, 634, 3148, 729, 22482, 676, 519, 12356, 538, 519, 2038, 476, 279, 628, 2540, 5084, 267, 855, 13264, 1055, 689, 519, 772, 16673, 344, 611, 2836, 13023, 622, 1310, 519, 7137, 828, 4860, 27117, 540, 476, 278, 2412, 269, 4438, 519, 16368, 1974, 267, 27988, 807, 2968, 606, 1271, 2749, 538, 519, 11335, 4262, 799, 3366, 547, 1082, 17189, 7526, 269, 634, 2063, 1713, 2621, 538, 519, 2197, 781, 2487, 1686, 723, 1044, 519, 27988, 1014, 2782, 543, 27988, 1014, 6406, 2782, 563, 29409, 665, 1723, 267, 13166, 519, 8003, 540, 25448, 267, 568, 513, 2197, 4092, 538, 519, 7395, 327, 516, 321, 3148, 540, 3345, 4000, 269, 898, 6772, 23697, 519, 11335, 7256, 547, 519, 5087, 543, 519, 9533, 7909, 547, 519, 7178, 267, 609, 2244, 10665, 609, 27988, 807, 547, 519, 7532, 543, 5375, 19300, 4673, 547, 519, 5045, 269, 25448, 849, 6811, 519, 608, 743, 2314, 540, 9919, 25917, 267, 9253, 8759, 543, 3212, 10722, 11252, 632, 966, 2946, 548, 345, 632, 3288, 717, 558, 5028, 267, 782, 540, 873, 896, 5053, 16278, 267, 607, 1134, 607, 1896, 1507, 5053, 22306, 10195, 1055, 922, 5032, 269, 634, 3854, 568, 15887, 520, 543, 519, 4102, 2749, 568, 16629, 629, 331, 4545, 320, 269, 25448, 21269, 606, 1858, 540, 476, 278, 1015, 267, 25616, 5998, 273, 630, 28638, 267, 29121, 13483, 11465, 264, 543, 814, 513, 2551, 540, 936, 476, 3607, 2929, 563, 763, 1686, 540, 5375, 19300, 4673, 666, 581, 14360, 1394, 547, 519, 2053, 540, 2961, 628, 698, 15687, 24413, 30567, 334, 519, 13782, 1807, 538, 519, 476, 276, 628, 2540, 7460, 269, 9282, 1906, 3140, 5638, 616, 2451, 689, 602, 1974, 267, 5375, 19300, 4673, 781, 2413, 1686, 814, 922, 5072, 5532, 547, 930, 9930, 19631, 2516, 971, 607, 519, 5842, 327, 24652, 1895, 267, 543, 519, 4367, 540, 5771, 543, 519, 12428, 1893, 693, 519, 1439, 540, 519, 476, 279, 628, 2540, 5084, 563, 29155, 1499, 610, 1955, 1794, 580, 1156, 616, 606, 6803, 1895, 5065, 547, 3345, 4000, 543, 4639, 4000, 267, 4481, 25448, 267, 27988, 807, 267, 31512, 807, 267, 8644, 5984, 267, 24381, 11939, 807, 267, 7187, 5689, 328, 267, 7187, 20997, 543, 519, 2052, 776, 11866, 269, 9540, 518, 7137, 828, 5095, 616, 849, 1336, 538, 8738, 330, 2088, 674, 553, 334, 543, 5527, 781, 13961, 11445, 744, 12118, 563, 8469, 8148, 7332, 27988, 807, 729, 513, 1974, 540, 7332, 17282, 538, 27988, 807, 1282, 519, 5664, 12698, 267, 10199, 17364, 519, 26992, 689, 519, 476, 278, 628, 2540, 547, 519, 476, 1704, 628, 2540, 269, 9521, 519, 32042, 540, 3105, 10764, 543, 4529, 267, 519, 4947, 540, 5771, 267, 799, 729, 3262, 676, 29240, 267, 729, 547, 723, 24245, 543, 1279, 18835, 2360, 593, 3345, 4000, 269, 634, 1007, 5132, 267, 538, 922, 1585, 3029, 267, 1131, 23309, 5176, 782, 12415, 540, 2486, 267, 8744, 609, 621, 20679, 267, 4121, 2367, 267, 543, 535, 969, 550, 7793, 923, 282, 538, 1804, 851, 267, 621, 1131, 5372, 17174, 2853, 543, 10121, 2906, 609, 1007, 1514, 8155, 543, 2797, 18986, 1682, 563, 763, 7395, 327, 516, 321, 267, 849, 1634, 607, 19566, 4000, 267, 519, 6259, 7395, 327, 516, 321, 267, 543, 15016, 776, 267, 568, 513, 1016, 2958, 542, 540, 3345, 4000, 602, 568, 3927, 513, 7262, 851, 540, 519, 6259, 1158, 543, 568, 15866, 7332, 269, 634, 3148, 2882, 27988, 807, 267, 8644, 5984, 267, 24381, 11939, 807, 267, 25448, 267, 543, 31512, 807, 267, 799, 616, 782, 4759, 2829, 540, 519, 6259, 7395, 327, 516, 321, 5742, 630, 4456, 308, 1040, 634, 7395, 327, 516, 321, 10123, 2882, 519, 31713, 11182, 540, 5375, 19300, 4673, 543, 519, 4872, 540, 9919, 25917, 543, 9253, 8759, 269, 1306, 540, 476, 1001, 279, 267, 519, 3148, 1185, 513, 2551, 540, 936, 476, 1911, 2929, 1004, 563, 302, 340, 329, 6767, 568, 513, 2101, 21185, 4754, 2749, 538, 922, 22583, 2282, 519, 8473, 609, 27988, 807, 563, 763, 9206, 540, 25448, 568, 513, 2699, 2361, 609, 513, 3039, 900, 14283, 20008, 8183, 563, 307, 12661, 322, 523, 568, 519, 2034, 4102, 2749, 538, 5087, 2914, 3480, 27988, 807, 1310, 2107, 534, 543, 621, 568, 519, 3854, 540, 519, 11662, 540, 519, 1482, 2012, 269, 634, 2749, 814, 2919, 16463, 267, 24095, 543, 19135, 6080, 267, 799, 621, 9635, 547, 519, 2823, 540, 681, 1662, 30516, 630, 325, 337, 264, 585, 13143, 269, 898, 1185, 513, 2551, 540, 476, 4391, 278, 267, 6110, 693, 519, 3105, 14829, 267, 1247, 519, 11662, 1185, 476, 272, 267, 23714, 267, 1822, 11317, 563, 763, 1325, 320, 537, 924, 15913, 267, 610, 1325, 1177, 924, 15913, 267, 568, 519, 1699, 21185, 4754, 10424, 1920, 269, 26588, 604, 16481, 333, 18498, 2968, 13584, 540, 570, 2378, 559, 5306, 538, 476, 14321, 272, 269, 3571, 5067, 25109, 599, 1325, 7304, 1662, 573, 630, 14917, 275, 1700, 15757, 273, 264, 729, 2111, 547, 26595, 543, 31390, 1518, 519, 2197, 269, 634, 1325, 320, 537, 2572, 3409, 16350, 689, 513, 3448, 540, 22445, 17124, 543, 616, 519, 6259, 15194, 1920, 540, 25448, 269, 634, 2012, 1325, 320, 537, 2572, 11710, 689, 1608, 13023, 18498, 5067, 540, 26512, 19248, 531, 756, 454, 763, 19300, 3863, 328, 267, 610, 19300, 541, 25596, 1004, 267, 616, 519, 1004, 2713, 538, 519, 7262, 851, 540, 519, 19300, 4673, 9390, 799, 2882, 5375, 19300, 4673, 267, 7013, 25448, 267, 1454, 540, 24381, 11939, 807, 543, 519, 3665, 22236, 540, 27988, 807, 563, 763, 3943, 5019, 10725, 622, 540, 25448, 267, 849, 1634, 607, 3943, 25448, 267, 729, 513, 7810, 12512, 13684, 676, 5333, 538, 519, 15593, 604, 1014, 7276, 269, 634, 2149, 28672, 729, 13166, 3964, 4728, 476, 1789, 267, 476, 4489, 273, 267, 950, 29001, 19869, 620, 6953, 2378, 573, 9896, 519, 15521, 540, 674, 525, 267, 1498, 519, 3943, 4108, 13567, 540, 25448, 1185, 13175, 609, 519, 12289, 540, 744, 340, 329, 6767, 543, 519, 10514, 731, 618, 540, 16629, 629, 331, 4545, 320, 538, 476, 5002, 278, 563, 763, 24789, 1092, 616, 513, 1305, 540, 2549, 1794, 662, 630, 29155, 828, 264, 11031, 267, 21882, 835, 540, 519, 2101, 8978, 7137, 828, 1476, 25005, 725, 7258, 519, 5842, 327, 24652, 543, 631, 11047, 19085, 269, 4256, 6197, 729, 2901, 9930, 19631, 610, 25161, 563, 22139, 4000, 568, 513, 5266, 6094, 14816, 540, 2244, 1063, 519, 19300, 4673, 9390, 543, 519, 11335, 267, 15198, 689, 21185, 4754, 9533, 5032, 547, 5527, 269, 17497, 267, 519, 3148, 13408, 2947, 2477, 267, 689, 7178, 547, 7532, 281, 25448, 267, 27988, 807, 267, 31512, 807, 267, 8644, 5984, 543, 5527, 269, 634, 3148, 814, 1044, 6766, 676, 1082, 3309, 4529, 269, 634, 1646, 540, 4262, 2951, 16119, 4547, 519, 3148, 883, 519, 11335, 1158, 267, 2523, 1282, 519, 8106, 1974, 269, 769, 519, 476, 272, 560, 26992, 5084, 267, 519, 19300, 4673, 2968, 606, 8449, 1271, 1858, 585, 4123, 607, 4342, 601, 1286, 822, 753, 4547, 5370, 543, 1004, 689, 519, 5045, 269, 634, 3148, 849, 814, 513, 1507, 855, 2629, 2244, 3095, 547, 519, 5664, 5101, 267, 543, 602, 1858, 814, 849, 5129, 513, 1883, 1909, 538, 519, 1686, 540, 3345, 4000, 563, 763, 3057, 514, 573, 29001, 622, 729, 606, 10504, 689, 519, 4571, 268, 1724, 628, 547, 519, 476, 1428, 628, 2540, 799, 6417, 1459, 6377, 25448, 543, 267, 23557, 1836, 267, 824, 2694, 540, 3345, 4000, 543, 540, 7013, 8050, 1472, 18582, 1537, 30198, 269, 898, 729, 3957, 1310, 519, 14465, 340, 3057, 514, 267, 513, 24789, 1092, 7137, 828, 14316, 269, 634, 521, 23546, 622, 729, 12199, 676, 519, 3057, 514, 573, 15913, 267, 610, 14465, 340, 19869, 620, 6953, 26698, 336, 267, 513, 1920, 799, 3366, 519, 14316, 547, 1379, 563, 29409, 665, 4754, 7642, 13822, 606, 3504, 2146, 269, 6969, 519, 15713, 540, 5840, 538, 476, 3707, 279, 267, 972, 941, 827, 476, 7742, 267, 1822, 547, 476, 12573, 267, 1822, 7642, 538, 519, 2197, 267, 799, 5795, 25448, 519, 4102, 6014, 2146, 538, 519, 7332, 1158, 267, 855, 676, 476, 1001, 278, 1152, 476, 273, 267, 1822, 610, 865, 2611, 269, 7642, 538, 25448, 267, 8385, 10529, 540, 7137, 828, 4654, 267, 7225, 324, 334, 5336, 528, 665, 4754, 12428, 610, 7225, 2801, 334, 4149, 20725, 267, 941, 519, 1101, 538, 519, 2197, 547, 9772 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2557, 814, 22485, 547, 11746, 2157, 269, 1323, 22237, 18914, 568, 513, 13766, 538, 2413, 6377, 2486, 269, 0, 3719, 538, 519, 3345, 8474, 729, 711, 22537, 547, 519, 2199, 4346, 267, 543, 547, 1082, 267, 621, 17591, 539, 519, 5075, 540, 519, 15713, 18971, 585, 513, 4182, 538, 799, 782, 2367, 616, 547, 581, 1863, 269, 2311, 519, 2085, 540, 476, 1691, 267, 595, 20782, 729, 12349, 676, 10172, 543, 25133, 11097, 1077, 3627, 5240, 558, 269, 594, 1131, 2648, 547, 1224, 3140, 2835, 782, 519, 942, 267, 855, 1152, 952, 789, 2811, 2854, 1134, 269, 4475, 267, 621, 729, 2352, 547, 2161, 602, 5240, 558, 5433, 1022, 1121, 16017, 610, 2601, 547, 581, 29779, 593, 595, 20782, 267, 585, 1352, 729, 3274, 1010, 3959, 269, 1717, 267, 713, 729, 10416, 835, 2462, 1395, 860, 826, 676, 519, 2278, 269, 901, 568, 2838, 2542, 585, 1977, 3778, 26643, 538, 930, 12621, 563, 9515, 16125, 1864, 543, 19754, 1864, 543, 1287, 17236, 1864, 538, 519, 3595, 2897, 538, 1200, 19970, 269, 3683, 519, 1985, 2947, 1296, 267, 595, 20782, 16004, 5240, 558, 1079, 1453, 282, 29285, 267, 1352, 2968, 3238, 609, 513, 10553, 3957, 6723, 543, 17251, 693, 1010, 1202, 14571, 547, 1439, 519, 2078, 609, 1200, 4487, 269, 2991, 519, 2669, 540, 1010, 7385, 267, 5240, 558, 22646, 585, 513, 10553, 602, 1223, 11886, 1010, 4638, 2115, 4352, 646, 6785, 602, 16713, 729, 2469, 998, 1896, 9840, 3823, 519, 3390, 540, 8474, 269, 1284, 917, 602, 1352, 729, 12349, 930, 942, 538, 476, 6977, 271, 693, 1472, 476, 1691, 1296, 2025, 267, 602, 1200, 4487, 986, 6244, 1200, 593, 519, 1259, 1753, 689, 519, 9042, 267, 543, 602, 1352, 1185, 1079, 1453, 676, 1864, 269, 594, 8057, 909, 538, 4425, 821, 6019, 267, 16713, 267, 1175, 1985, 547, 595, 9994, 599, 6019, 1141, 891, 2621, 3576, 1747, 269, 2334, 568, 267, 649, 616, 3257, 519, 1482, 3364, 607, 5616, 267, 1152, 1369, 519, 5943, 540, 835, 1641, 269, 595, 20782, 729, 519, 2034, 1126, 856, 540, 27552, 563, 763, 1650, 540, 595, 20782, 568, 606, 30118, 540, 519, 3597, 540, 7292, 2042, 602, 3013, 1869, 8188, 2221, 538, 2486, 269, 32511, 4768, 514, 1256, 2798, 856, 4481, 519, 4090, 538, 799, 930, 2043, 6603, 713, 4090, 540, 31658, 476, 2764, 269, 32511, 4768, 514, 267, 1977, 3162, 267, 16713, 267, 11910, 12537, 6019, 269, 3627, 6276, 517, 568, 1851, 519, 1034, 15197, 1004, 2713, 538, 11910, 12537, 269, 32511, 4768, 514, 267, 519, 2278, 267, 1031, 713, 2272, 540, 513, 1762, 10553, 4807, 1412, 338, 6560, 998, 519, 19888, 5703, 23434, 540, 22149, 543, 21440, 547, 2491, 547, 2221, 1412, 338, 14255, 633, 2486, 513, 1732, 26841, 540, 1018, 8474, 1223, 723, 1044, 899, 563, 295, 611, 789, 723, 17019, 519, 957, 540, 22149, 1996, 595, 20782, 267, 789, 1131, 723, 1185, 547, 5431, 602, 17051, 616, 849, 1004, 267, 543, 602, 1131, 723, 3361, 513, 5837, 6433, 593, 1082, 2157, 538, 513, 3043, 30013, 2486, 269, 769, 1840, 547, 595, 20782, 781, 1650, 543, 519, 3140, 2796, 267, 519, 2278, 11828, 519, 1455, 13429, 602, 10553, 2021, 941, 2808, 3959, 543, 1223, 581, 1031, 607, 519, 5411, 20938, 269, 634, 4638, 6214, 540, 8474, 538, 519, 24970, 31616, 3162, 616, 5310, 1034, 5693, 7000, 676, 519, 1249, 602, 6592, 2665, 540, 22149, 540, 4775, 10437, 616, 12303, 9039, 343, 11962, 269, 769, 519, 3801, 547, 1711, 606, 4277, 543, 3209, 6438, 2239, 267, 32511, 4768, 514, 2882, 1082, 3877, 602, 616, 6038, 796, 28695, 547, 519, 1650, 3294, 269, 901, 1433, 786, 9090, 1118, 596, 1589, 1018, 3375, 602, 568, 909, 547, 596, 269, 2290, 540, 519, 1292, 18689, 25808, 540, 519, 2208, 540, 519, 11910, 12537, 2146, 568, 513, 812, 3957, 3627, 6276, 517, 563, 1607, 1185, 519, 1761, 547, 581, 971, 513, 1390, 1433, 734, 320, 10553, 8004, 4991, 986, 6244, 14578, 676, 1200, 4487, 585, 827, 2947, 1296, 1354, 1352, 8813, 538, 2648, 609, 1776, 10553, 593, 519, 3484, 269, 3487, 21871, 2016, 519, 3209, 2065, 267, 10565, 17021, 540, 519, 1178, 2738, 517, 7244, 538, 1010, 4651, 781, 607, 1127, 267, 621, 3085, 1405, 3100, 899, 32511, 4768, 514, 729, 10353, 547, 21107, 1944, 269, 595, 20782, 4682, 547, 5240, 558, 538, 606, 4674, 547, 3247, 519, 2470, 540, 741, 26035, 267, 855, 729, 28336, 538, 3257, 865, 269, 634, 2160, 540, 11908, 4964, 267, 18603, 543, 5507, 281, 476, 1960, 272, 269, 1323, 13499, 693, 1010, 6024, 7569, 543, 15691, 547, 3136, 513, 2078, 609, 1776, 10553, 563, 31549, 13581, 1216, 3441, 602, 1281, 711, 1860, 31824, 540, 519, 1433, 269, 901, 568, 835, 1650, 602, 786, 3251, 609, 803, 513, 1279, 942, 269, 32511, 4768, 514, 3096, 595, 20782, 781, 1650, 547, 7866, 519, 13253, 602, 2269, 1441, 519, 5958, 540, 24970, 31616, 7013, 2486, 269, 570, 5014, 1063, 3109, 2367, 543, 2021, 729, 17149, 1587, 540, 8474, 269, 9253, 2023, 32511, 4768, 514, 12667, 569, 6257, 519, 1272, 540, 513, 16770, 26884, 10553, 945, 10692, 1394, 538, 519, 1875, 1922, 12302, 17728, 11331, 595, 20782, 267, 589, 32013, 269, 670, 14563, 547, 1265, 13884, 538, 1007, 2244, 9715, 676, 519, 17039, 27619, 267, 4892, 5887, 3293, 31023, 563, 16352, 606, 2799, 1297, 540, 3484, 327, 1343, 4847, 5240, 558, 811, 942, 585, 11005, 543, 513, 2362, 1514, 4567, 269, 5221, 595, 20782, 11542, 909, 547, 621, 543, 729, 6836, 585, 1018, 5949, 19952, 267, 1200, 1650, 14753, 585, 1082, 4775, 10437, 4171, 2729, 786, 2760, 581, 15422, 269, 2701, 7166, 1200, 4487, 3843, 547, 2061, 1864, 689, 16550, 1200, 547, 723, 3023, 609, 1864, 269, 595, 20782, 729, 1152, 476, 1691, 950, 1352, 729, 12349, 676, 3627, 5240, 558, 269, 901, 1500, 1200, 547, 581, 606, 12835, 543, 6667, 547, 519, 2898, 1158, 543, 2523, 547, 519, 5824, 2146, 269, 1635, 20401, 532, 267, 596, 1205, 1569, 547, 513, 5458, 5399, 540, 19180, 1543, 267, 799, 568, 8242, 3232, 563, 8170, 1576, 646, 3085, 1405, 6432, 269, 1879, 596, 798, 267, 581, 2386, 547, 5815, 519, 2985, 1297, 593, 799, 596, 1336, 519, 10839, 269, 4634, 952, 1352, 1185, 1044, 513, 4807, 267, 2021, 26218, 2797, 1379, 543, 824, 2924, 1282, 602, 942, 538, 1686, 269, 634, 8086, 540, 713, 568, 519, 2013, 540, 7917, 5240, 558, 945, 1500, 1010, 2713, 676, 9140, 3670, 10437, 945, 786, 581, 3743, 269, 2659, 11097, 15735, 4651, 267, 945, 2488, 1426, 543, 12062, 585, 596, 543, 707, 1614, 1453, 267, 6770, 1753, 513, 27552, 4458, 6040, 3109, 1126, 835, 12784, 267, 543, 4352, 646, 3081, 646, 814, 21534, 1200, 607, 513, 3434, 267, 596, 917, 1352, 10355, 3762, 1010, 23103, 269, 1703, 781, 1100, 6568, 610, 8296, 269, 594, 1336, 1312, 713, 1433, 781, 23350, 543, 6881, 4241, 269, 0, 288, 1888, 568, 513, 3376, 2856, 281, 7784, 2359, 267, 2475, 3140, 2250, 267, 24918, 267, 16486, 4577, 12668, 267, 13055, 7881, 267, 3872, 31081, 17965, 267, 1153, 28076, 3009, 267, 543, 865, 593, 269, 1452, 5749, 1406, 6927, 607, 513, 1267, 540, 596, 949, 2328, 2835, 593, 873, 269, 19369, 281, 14419, 593, 707, 2339, 267, 798, 707, 2079, 267, 543, 1711, 606, 1557, 5581, 563, 2467, 779, 1100, 8945, 2443, 3274, 1376, 1603, 269, 4495, 596, 1522, 581, 2324, 593, 621, 267, 16540, 782, 519, 2093, 1644, 547, 519, 1888, 269, 1280, 1346, 945, 1265, 621, 2352, 547, 10891, 707, 2093, 2786, 2476, 267, 2119, 1863, 8586, 2443, 1376, 1603, 1169, 2370, 1018, 568, 1557, 3364, 602, 2501, 547, 707, 4555, 269, 8786, 267, 972, 786, 4440, 581, 3833, 513, 2603, 540, 2035, 711, 4448, 609, 835, 1776, 267, 596, 7654, 666, 3442, 1346, 1818, 2631, 543, 960, 609, 873, 3606, 563, 28733, 4211, 583, 1018, 568, 513, 1557, 31876, 1107, 1548, 315, 685, 338, 22490, 454, 11321, 767, 1018, 606, 12819, 1557, 568, 543, 519, 1318, 1259, 547, 2097, 909, 609, 513, 4396, 569, 2854, 835, 286, 9861, 513, 1455, 4305, 2016, 676, 2852, 20485, 267, 621, 3123, 1082, 7820, 1004, 547, 3343, 585, 2081, 547, 3986, 741, 1603, 15334, 269, 2372, 924, 1018, 568, 606, 1557, 513, 1297, 540, 540, 873, 1265, 3054, 6236, 602, 1927, 609, 513, 1297, 540, 8579, 543, 23610, 1344, 538, 741, 4574, 666, 798, 519, 8945, 269, 634, 11667, 13230, 585, 5959, 1416, 12665, 729, 1269, 320, 4627, 543, 15823, 2947, 267, 1220, 538, 476, 1001, 279, 1848, 15439, 602, 786, 711, 798, 563, 9359, 519, 1101, 5037, 540, 707, 1557, 609, 513, 5098, 3948, 602, 949, 3391, 707, 2347, 1957, 543, 28958, 519, 5467, 779, 7156, 269, 634, 1101, 4845, 540, 519, 4367, 11129, 547, 533, 1664, 707, 5467, 779, 1719, 543, 7279, 269, 901, 4845, 568, 3006, 5219, 547, 607, 519, 13622, 269, 898, 568, 2693, 547, 581, 606, 10578, 13214, 267, 513, 10875, 4641, 267, 610, 513, 29412, 3948, 10771, 519, 10083, 540, 519, 1888, 563, 763, 3974, 28279, 3988, 827, 1018, 3435, 621, 779, 513, 1590, 547, 519, 2055, 269, 898, 2356, 4667, 693, 519, 1439, 540, 606, 2606, 5037, 540, 606, 1557, 269, 3958, 621, 568, 1634, 607, 840, 331, 8775, 547, 519, 3932, 1317, 621, 2488, 513, 13801, 5758, 540, 519, 1292, 2339, 610, 3409, 540, 519, 1557, 269, 634, 5098, 1058, 581, 1880, 543, 6023, 519, 1292, 2219, 540, 519, 1641, 563, 763, 3803, 5037, 540, 513, 476, 276, 5037, 1557, 2443, 610, 1022, 2450, 1058, 581, 513, 3932, 269, 898, 1590, 333, 1406, 1459, 1007, 1344, 267, 18562, 621, 1058, 782, 519, 942, 16833, 909, 707, 5188, 269, 2290, 4480, 1018, 568, 513, 1557, 547, 9959, 568, 547, 17412, 707, 1614, 3877, 1310, 799, 4734, 519, 5467, 609, 930, 1883, 1491, 25498, 610, 513, 14656, 2219, 827, 707, 5098, 602, 11479, 707, 1557, 15335, 563, 18933, 3424, 15789, 769, 5581, 1557, 32672, 4705, 454, 288, 918, 6347, 267, 610, 29770, 22033, 267, 10341, 267, 543, 13669, 757, 2223, 568, 513, 3126, 540, 2239, 6898, 799, 616, 2838, 950, 1818, 946, 540, 547, 8549, 2229, 2816, 23761, 1369, 519, 2136, 2276, 269, 23794, 2026, 616, 1031, 2059, 609, 759, 6979, 547, 1265, 856, 945, 835, 540, 519, 1655, 10457, 616, 950, 1896, 10457, 20618, 585, 513, 2816, 269, 634, 1239, 267, 6791, 1557, 2495, 538, 7005, 267, 543, 15421, 2556, 585, 519, 3811, 4398, 540, 513, 1747, 616, 8659, 593, 1142, 2816, 7477, 3599, 23318, 269, 23794, 2026, 616, 10151, 543, 10704, 3594, 827, 835, 779, 3924, 543, 3872, 4282, 602, 27229, 20618, 835, 547, 1685, 519, 11645, 540, 519, 2990, 1373, 8246, 585, 563, 2026, 609, 519, 3209, 2073, 3594, 11478, 538, 3567, 1896, 5553, 4505, 982, 789, 2919, 538, 2342, 609, 513, 2511, 540, 3594, 5219, 547, 607, 1990, 340, 8811, 1080, 340, 1765, 331, 5366, 569, 4448, 3594, 543, 27929, 2093, 269, 2098, 340, 8811, 1080, 340, 723, 11478, 2094, 12303, 519, 20297, 540, 5545, 3332, 269, 31849, 540, 519, 1034, 4583, 2038, 1568, 540, 5545, 3332, 616, 538, 713, 2511, 269, 31838, 1806, 18220, 634, 30346, 578, 3883, 630, 322, 269, 835, 8536, 1070, 676, 5480, 1018, 568, 1557, 14799, 1530, 328, 1744, 16230, 333, 6782, 2073, 543, 17578, 675, 345, 675, 326, 25901, 630, 15836, 271, 1070, 676, 16113, 12021, 5545, 14418, 31494, 962, 9655, 5866, 8230, 330, 16230, 8230, 330, 16230, 4330, 1010, 5618, 12591, 8449, 547, 8053, 5218, 324, 267, 13288, 547, 873, 607, 29770, 333, 976, 839, 673, 2093, 892, 2854, 538, 29770, 573, 548, 3108, 6100, 6271, 29810, 3017, 689, 2342, 568, 602, 6690, 723, 13840, 2854, 538, 3567, 267, 4352, 519, 811, 6101, 267, 4457, 19899, 1663, 10642, 12591, 540, 5256, 5830, 941, 3063, 17028, 7458, 693, 519, 942, 563, 763, 3077, 267, 519, 23610, 267, 543, 519, 6405, 1880, 281, 634, 1557, 1235, 602, 2328, 689, 713, 15393, 29770, 4777, 711, 3717, 2047, 540, 2933, 267, 855, 16212, 741, 3007, 21286, 547, 930, 5339, 610, 3621, 610, 2797, 6249, 269, 4256, 1148, 1018, 568, 606, 1557, 5161, 540, 4259, 8521, 267, 8429, 10385, 2390, 267, 543, 5373, 1455, 8753, 689, 519, 4143, 1702, 9731, 763, 3791, 5037, 540, 707, 476, 276, 5037, 1557, 568, 1141, 596, 2482, 856, 519, 2034, 1898, 1448, 269, 1306, 519, 3105, 5037, 267, 621, 1058, 1376, 609, 513, 5912, 543, 606, 7291, 1018, 568, 606, 1557, 1603, 540, 519, 1641, 596, 2461, 827, 547, 1865, 269, 7102, 1806, 610, 948 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 670, 269, 630, 5002, 280, 1040, 4317, 9257, 281, 589, 1353, 540, 519, 700, 24147, 9650, 269, 1715, 3840, 281, 5576, 1442, 523, 563, 24979, 8553, 7615, 267, 681, 269, 630, 4198, 276, 1040, 1230, 845, 640, 543, 1915, 269, 1977, 5369, 6048, 267, 476, 1015, 267, 476, 4489, 1700, 2735, 563, 5719, 28852, 267, 631, 1421, 1299, 15168, 731, 267, 670, 269, 645, 269, 630, 4198, 276, 1040, 589, 1353, 540, 29708, 543, 21141, 7506, 2390, 1367, 10385, 269, 4750, 540, 2806, 7538, 543, 4317, 10017, 267, 476, 7906, 267, 476, 277, 3066, 1700, 277, 3607, 563, 291, 597, 12685, 382, 357, 778, 614, 267, 681, 269, 630, 1220, 274, 1040, 1548, 2731, 6927, 281, 18227, 519, 2898, 269, 594, 30955, 281, 7433, 4843, 693, 519, 476, 1015, 628, 645, 1329, 333, 658, 10985, 540, 4139, 5980, 540, 11933, 3749, 10017, 563, 2710, 1047, 267, 654, 269, 630, 2735, 277, 1040, 20946, 540, 7778, 538, 1514, 6530, 269, 11062, 281, 11062, 2160, 4964, 563, 293, 529, 651, 267, 590, 269, 570, 1421, 1299, 2274, 344, 839, 267, 808, 269, 623, 269, 630, 1960, 278, 1040, 2913, 1514, 6530, 581, 535, 5417, 880, 267, 610, 693, 2547, 26945, 269, 769, 17755, 691, 344, 1299, 589, 269, 13201, 4594, 630, 32295, 13776, 634, 5048, 540, 1514, 6530, 281, 21126, 593, 2247, 538, 2486, 269, 10228, 281, 4563, 6202, 563, 293, 5987, 267, 681, 1421, 681, 3530, 1068, 344, 267, 962, 1421, 1299, 645, 1090, 601, 267, 667, 269, 630, 1960, 271, 1040, 589, 7138, 1782, 31495, 13133, 566, 540, 519, 1306, 577, 29077, 1353, 269, 3864, 4750, 540, 4317, 10017, 267, 476, 736, 267, 476, 3066, 1700, 4510, 563, 294, 1120, 523, 267, 918, 269, 808, 269, 630, 2735, 273, 1040, 19331, 731, 7004, 538, 1514, 1702, 269, 1715, 3840, 281, 22219, 563, 294, 1120, 523, 267, 918, 269, 630, 2735, 276, 1040, 634, 1514, 4070, 626, 3350, 538, 2413, 6530, 269, 1977, 5369, 6048, 267, 476, 2412, 267, 476, 29214, 1700, 22550, 563, 294, 1120, 523, 267, 918, 269, 630, 1960, 278, 1040, 4317, 6530, 607, 1514, 4070, 281, 634, 6932, 5075, 269, 769, 17755, 691, 344, 1299, 589, 269, 13201, 4594, 630, 32295, 13776, 634, 5048, 540, 1514, 6530, 281, 21126, 593, 2247, 538, 2486, 269, 10228, 281, 4563, 6202, 563, 294, 5142, 651, 17771, 3780, 267, 966, 1421, 7108, 7322, 267, 715, 269, 808, 1421, 18200, 27255, 267, 595, 269, 681, 1421, 595, 658, 323, 7236, 267, 681, 269, 645, 1421, 1299, 8230, 4459, 267, 667, 269, 570, 269, 630, 1220, 277, 1040, 24613, 2059, 8957, 2469, 4805, 281, 950, 4909, 24500, 7520, 7580, 630, 12061, 264, 29077, 269, 4750, 540, 22226, 543, 4317, 10017, 267, 476, 11011, 263, 273, 1070, 476, 27005, 563, 295, 2033, 344, 267, 595, 1421, 24434, 267, 595, 1421, 1299, 2098, 12494, 16037, 267, 623, 269, 630, 3192, 274, 1040, 589, 1353, 540, 14586, 543, 22651, 538, 513, 20533, 7890, 269, 25220, 1382, 2689, 476, 280, 267, 476, 272, 1700, 1704, 269, 1496, 11847, 761, 539, 538, 661, 269, 1488, 976, 517, 630, 10955, 13776, 3367, 902, 827, 519, 1514, 3662, 630, 274, 6113, 1196, 1421, 6032, 269, 476, 7367, 1700, 6858, 1040, 5842, 12770, 281, 654, 13034, 269, 6154, 17507, 24358, 295, 1551, 529, 267, 623, 269, 681, 269, 630, 2735, 276, 1040, 1306, 577, 779, 1239, 543, 519, 2048, 2026, 577, 1198, 685, 281, 589, 2565, 4063, 269, 3703, 4750, 540, 4317, 10017, 267, 476, 2190, 267, 476, 26631, 1700, 15996, 563, 295, 1551, 529, 267, 645, 269, 630, 1960, 278, 1040, 3115, 7035, 545, 1944, 519, 1686, 540, 6530, 269, 769, 667, 269, 16737, 1299, 594, 269, 2398, 4068, 2741, 839, 5652, 630, 32295, 13776, 11879, 6530, 281, 1323, 2606, 25156, 269, 5507, 281, 590, 720, 563, 31549, 4594, 267, 590, 269, 589, 1421, 1299, 1234, 545, 615, 267, 590, 269, 667, 269, 630, 1001, 273, 1040, 2552, 20535, 519, 968, 333, 1155, 892, 540, 29077, 281, 1548, 6660, 13559, 543, 2098, 12494, 16037, 779, 2090, 2731, 1397, 269, 12813, 24382, 10334, 267, 476, 1015, 263, 1556, 1070, 552, 1911, 16318, 277, 563, 295, 1168, 7723, 267, 631, 269, 630, 1960, 278, 1040, 8422, 4245, 689, 1514, 6530, 281, 13038, 2157, 540, 2079, 267, 27696, 12683, 1143, 267, 543, 8579, 30483, 269, 769, 595, 269, 17755, 691, 344, 1299, 589, 269, 13201, 4594, 630, 32295, 13776, 634, 5048, 540, 1514, 6530, 630, 653, 269, 476, 14917, 1700, 8687, 1040, 10228, 281, 4563, 6202, 563, 295, 617, 2471, 267, 645, 269, 670, 1421, 1299, 2983, 9807, 267, 589, 269, 630, 1220, 277, 1040, 589, 1875, 935, 845, 626, 2272, 540, 519, 1306, 577, 6901, 281, 18880, 267, 22964, 3901, 923, 267, 543, 5837, 21140, 269, 22226, 543, 4317, 10017, 5623, 267, 476, 1015, 267, 476, 273, 1700, 866, 563, 295, 1251, 10773, 267, 631, 269, 630, 1960, 273, 1040, 12465, 543, 2565, 3069, 269, 769, 667, 269, 769, 13559, 1299, 808, 269, 17363, 16927, 978, 1090, 630, 32295, 13776, 11879, 3069, 281, 634, 1898, 13220, 630, 653, 269, 476, 26839, 1700, 22724, 1040, 1715, 3840, 281, 3474, 6782, 5600, 563, 295, 1941, 8124, 267, 631, 269, 808, 1421, 20727, 330, 583, 267, 700, 1421, 6833, 787, 267, 667, 269, 808, 1421, 1299, 21025, 9404, 773, 267, 645, 269, 631, 269, 630, 1220, 274, 1040, 2201, 1373, 10978, 543, 10583, 281, 6348, 8410, 845, 640, 543, 4831, 8410, 845, 640, 547, 1895, 8155, 269, 3703, 4750, 540, 4317, 10017, 267, 476, 5655, 267, 476, 29204, 1700, 28178, 563, 297, 1695, 18649, 267, 631, 269, 630, 4198, 280, 1040, 1230, 845, 640, 543, 7115, 281, 589, 5626, 2079, 269, 5274, 9534, 267, 476, 1321, 267, 476, 4200, 1700, 6344, 563, 298, 574, 267, 670, 1421, 1299, 4460, 639, 267, 670, 269, 681, 269, 630, 1960, 280, 1040, 8061, 4800, 610, 22464, 267, 10103, 610, 29077, 281, 589, 2686, 2079, 269, 4750, 540, 22226, 543, 4317, 10017, 267, 476, 6507, 267, 476, 4281, 276, 1700, 8517, 563, 18250, 294, 691, 344, 267, 595, 1421, 1299, 13201, 4594, 267, 590, 269, 589, 269, 630, 32295, 12175, 630, 1960, 278, 1040, 634, 5048, 540, 1514, 6530, 281, 21126, 593, 2247, 538, 2486, 630, 653, 269, 476, 4391, 1700, 7871, 1040, 10228, 281, 4563, 6202, 563, 300, 559, 13559, 267, 590, 269, 630, 3422, 274, 1040, 19884, 1353, 540, 24150, 269, 4750, 540, 2806, 7538, 543, 4317, 10017, 267, 476, 6858, 267, 476, 4391, 272, 1700, 274, 4281, 563, 300, 559, 13559, 267, 590, 269, 630, 3192, 275, 1040, 634, 1995, 540, 2713, 538, 4872, 269, 18844, 3429, 543, 29007, 267, 476, 15757, 267, 476, 6078, 563, 300, 8113, 990, 545, 328, 267, 590, 269, 630, 1220, 272, 1040, 4317, 11269, 281, 4112, 32590, 538, 1514, 6530, 269, 1715, 3840, 281, 12924, 290, 4964, 563, 300, 8113, 990, 545, 328, 267, 590, 1421, 700, 720, 267, 661, 1421, 1299, 715, 3530, 516, 577, 26919, 267, 631, 269, 630, 3422, 280, 1040, 21478, 540, 513, 5812, 12102, 593, 519, 6114, 540, 513, 5354, 538, 513, 2681, 7041, 4305, 269, 5081, 5852, 267, 476, 3953, 267, 476, 18458, 1700, 4391, 280, 563, 303, 788, 32050, 267, 589, 269, 630, 2735, 272, 1040, 16497, 689, 519, 1686, 540, 1514, 6530, 269, 1977, 5369, 6048, 267, 476, 3607, 263, 280, 1070, 476, 280, 7761, 563, 303, 788, 32050, 267, 589, 269, 630, 1960, 278, 1040, 6348, 332, 1468, 4978, 281, 7869, 543, 1382, 538, 2686, 1514, 6530, 269, 769, 595, 269, 17755, 691, 344, 1299, 589, 269, 13201, 4594, 630, 32295, 13776, 634, 5048, 540, 1514, 6530, 269, 10228, 281, 4563, 6202, 563, 3725, 545, 615, 267, 590, 269, 667, 269, 1299, 13201, 4594, 267, 590, 269, 589, 269, 630, 1220, 277, 1040, 681, 996, 9722, 519, 20369, 322, 326, 1108, 540, 28112, 15967, 281, 634, 18917, 7890, 1353, 269, 3703, 4750, 540, 4317, 10017, 267, 476, 3393, 263, 272, 1070, 476, 272, 1700, 2412, 563, 26596, 5112, 267, 661, 269, 595, 269, 630, 5002, 274, 1040, 10017, 543, 6323, 269, 16723, 5623, 267, 476, 1015, 267, 476, 10755, 1700, 15686, 563, 306, 541, 1783, 267, 590, 269, 645, 269, 630, 2735, 272, 1040, 10017, 3765, 323, 20526, 269, 1715, 3840, 281, 5131, 4964, 563, 19913, 592, 2006, 267, 717, 269, 594, 269, 630, 3422, 278, 1040, 1306, 577, 29077, 2090, 281, 1230, 845, 640, 547, 519, 4603, 518, 543, 5924, 547, 519, 1895, 286, 5081, 5852, 267, 476, 1789, 267, 476, 2918, 1700, 2412, 563, 306, 655, 514, 267, 717, 269, 681, 269, 630, 1960, 278, 1040, 634, 10083, 540, 1893, 547, 1514, 6530, 269, 769, 595, 269, 17755, 691, 344, 1299, 590, 269, 589, 269, 13201, 4594, 630, 32295, 13776, 634, 5048, 540, 1514, 6530, 269, 10228, 281, 4563, 6202, 563, 306, 615, 604, 267, 631, 269, 630, 4350, 277, 1040, 634, 6530, 540, 1514, 8155, 269, 1715, 3840, 281, 22489, 543, 29564, 269, 22489, 8776, 577, 1433, 7160, 267, 476, 3422, 277, 563, 1805, 600, 267, 670, 269, 808, 269, 630, 1220, 277, 1040, 1234, 8010, 532, 519, 1514, 538, 1514, 6530, 269, 7869, 543, 10017, 267, 476, 1626, 267, 476, 6812, 278, 1700, 276, 4817, 563, 1805, 4459, 518, 267, 700, 269, 808, 1421, 11619, 1157, 267, 590, 1421, 1299, 12722, 267, 667, 269, 715, 269, 630, 3192, 271, 1040, 1230, 845, 640, 267, 4550, 29077, 267, 543, 7115, 281, 4256, 10155, 1275, 543, 1252, 1275, 269, 4750, 540, 22226, 543, 4317, 10017, 267, 476, 1626, 267, 476, 5392, 275, 1700, 2004, 278, 563, 1805, 19172, 2041, 267, 654, 1421, 1299, 6184, 14150, 267, 595, 269, 589, 269, 630, 2735, 280, 1040, 853, 699, 9189, 267, 14882, 267, 543, 7130, 281, 21744, 1523, 687, 538, 3069, 543, 1382, 269, 769, 667, 269, 4446, 6874, 531, 267, 595, 269, 674, 269, 3400, 30977, 267, 589, 269, 654, 269, 918, 2607, 331, 753, 7288, 267, 1299, 654, 269, 853, 19172, 2041, 630, 32295, 13776, 853, 699, 19685, 543, 14882, 281, 21744, 1523, 687, 630, 653, 269, 476, 274, 1700, 4097, 1040, 1715, 3840, 281, 22219, 563, 1805, 787, 12027, 267, 590, 269, 630, 1960, 278, 1040, 769, 519, 4098, 972, 568, 2486, 281, 16497, 689, 513, 25349, 1514, 6530, 269, 769, 595, 269, 17755, 691, 344, 1299, 590, 269, 589, 269, 13201, 4594, 630, 32295, 13776, 634, 5048, 540, 1514, 6530, 281, 21126, 593, 2247, 538, 2486, 630, 653, 269, 476, 25628, 1700, 27628, 1040, 11062, 281, 4563, 6202, 563, 306, 4240, 26709, 267, 623, 269, 630, 1960, 278, 1040, 634, 1514, 6530, 540, 968, 1103, 341, 1112, 639, 27535, 10417, 783, 543, 27696, 4485, 547, 519, 1353, 540, 967, 558, 527, 1464, 269, 769, 595, 269, 17755, 691, 344, 1299, 589, 269, 13201, 4594, 630, 32295, 13776, 634, 5048, 540, 1514, 6530, 269, 10228, 281, 4563, 6202, 563, 307, 4428, 514, 267, 918, 269, 630, 1220, 276, 1040, 4197, 2565, 1514, 6530, 269, 5507, 281, 590, 720, 563, 31282, 518, 267, 808, 269, 595, 269, 630, 1960, 272, 1040, 4317, 3310, 269, 774, 1682, 517, 15588, 338, 14727, 1961, 14539, 3213, 563, 309, 1023, 10719, 267, 808, 269, 630, 1220, 277, 1040, 667, 836, 2730, 14258, 538, 1702, 4070, 1369, 6530, 281, 26610, 540, 12191, 269, 7869, 543, 10017, 267, 476, 1626, 263, 276, 1070, 476, 6795, 278, 1700, 277, 1321, 563, 310, 1779, 518, 267, 661, 269, 700, 1421, 1299, 19850, 985, 267, 681, 269, 654, 269, 630, 3422, 273, 1040, 1323, 14169, 585, 29077, 269, 1621, 548, 6229, 1849, 14554, 281, 623, 1370, 823, 8065, 563, 12663, 529, 267, 681, 269, 670, 269, 630, 3422, 274, 1040, 5565, 7516, 540, 29077, 5991, 517, 935, 845, 640, 269, 5081, 5852, 267, 476, 2918, 267, 476, 275, 4200, 1700, 276, 1724, 563, 12663, 529, 267, 681, 269, 670, 269, 630, 3422, 276, 1040, 1230, 845, 640, 267, 7115, 267, 543, 4550, 29077, 269, 5274, 9534, 267, 476, 1240, 267, 476, 32699, 1700, 4343, 279, 563, 296, 6999, 547, 9684, 3220, 269, 1488, 341, 785, 918, 269, 631, 880, 571, 267, 2098, 18449, 2464, 267, 808, 26214, 585, 1010, 10372, 543, 5583, 538, 8600, 713, 12377, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 303, 611, 26515, 267, 667, 269, 1230, 845, 640, 4437, 553, 281, 589, 5517, 610, 606, 21885, 3203, 604, 716, 27085, 5369, 565, 2289, 476, 6795, 267, 476, 23417, 1700, 15996 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 606, 19765, 11582, 540, 2837, 630, 5228, 476, 272, 4113, 547, 476, 275, 9180, 264, 936, 10255, 543, 11894, 543, 606, 21467, 560, 11582, 936, 5840, 269, 634, 13247, 2203, 1239, 616, 6353, 676, 9756, 540, 476, 271, 269, 275, 1700, 271, 269, 276, 936, 10255, 630, 663, 5631, 936, 519, 10195, 1070, 799, 568, 811, 2693, 2404, 609, 1875, 1228, 12930, 6041, 540, 519, 522, 5766, 1429, 344, 543, 4130, 8397, 28198, 3157, 676, 519, 2916, 2203, 269, 17713, 517, 1696, 620, 269, 630, 1220, 278, 264, 11943, 602, 519, 16874, 305, 300, 274, 303, 11148, 547, 30391, 2837, 26037, 543, 547, 21467, 560, 1493, 13247, 26037, 936, 2342, 269, 5047, 267, 789, 10645, 602, 519, 954, 2335, 783, 13260, 540, 13247, 568, 538, 3448, 1434, 6876, 609, 7422, 538, 5162, 269, 645, 18732, 1696, 620, 269, 630, 1220, 277, 264, 723, 849, 11943, 602, 519, 16874, 305, 300, 274, 303, 2203, 568, 3622, 5671, 518, 982, 519, 7422, 936, 2342, 543, 6700, 602, 2244, 1700, 22855, 4334, 543, 2199, 27177, 2188, 949, 2272, 585, 519, 2203, 17418, 547, 2099, 13247, 563, 763, 1985, 1900, 540, 15418, 540, 519, 16874, 4456, 274, 303, 2203, 609, 2463, 547, 519, 8947, 661, 6573, 4806, 729, 547, 8495, 519, 12588, 540, 519, 2203, 547, 16196, 519, 4806, 538, 519, 1852, 2196, 269, 1280, 713, 2601, 267, 29352, 9030, 5057, 2079, 729, 4294, 267, 1210, 15254, 574, 1314, 10047, 585, 519, 9030, 3334, 630, 303, 12336, 282, 670, 648, 331, 476, 2735, 272, 264, 538, 519, 2203, 1611, 5162, 2418, 540, 2520, 18821, 1113, 4463, 693, 476, 4335, 554, 25508, 269, 6684, 547, 519, 1505, 1031, 676, 24051, 345, 13403, 1696, 620, 269, 630, 1220, 278, 1070, 519, 1101, 2185, 7193, 338, 616, 17477, 602, 14183, 519, 12170, 21205, 540, 1142, 5057, 7713, 811, 982, 519, 476, 1015, 260, 540, 519, 2698, 13065, 267, 3843, 547, 1832, 519, 7193, 338, 609, 2168, 4612, 1464, 630, 298, 2313, 333, 597, 543, 28615, 476, 2735, 280, 1040, 1452, 7193, 338, 2671, 476, 3583, 260, 540, 519, 2698, 13065, 267, 5111, 269, 4340, 547, 8431, 269, 476, 274, 267, 799, 6799, 519, 8901, 3270, 2404, 609, 519, 1101, 2185, 7193, 338, 267, 519, 2203, 814, 8197, 6086, 7007, 4397, 3270, 540, 519, 5580, 25101, 10009, 936, 519, 8947, 3148, 281, 519, 9456, 9533, 4806, 630, 8993, 269, 476, 274, 320, 1070, 519, 21069, 1700, 292, 584, 22057, 4806, 630, 32292, 698, 3999, 641, 9567, 657, 1696, 620, 269, 476, 1220, 273, 282, 8431, 269, 476, 274, 321, 1070, 543, 519, 715, 9573, 630, 8993, 269, 476, 274, 322, 1070, 1247, 519, 661, 6573, 19674, 607, 519, 8521, 5057, 630, 8993, 269, 476, 274, 323, 1070, 7713, 476, 1724, 260, 540, 519, 2698, 13065, 269, 4475, 267, 621, 568, 1336, 602, 519, 661, 6573, 18635, 267, 607, 6508, 1282, 519, 1852, 2196, 267, 3592, 14626, 728, 609, 1346, 6508, 689, 715, 4753, 303, 1239, 630, 8993, 269, 476, 273, 1070, 5885, 519, 10206, 602, 519, 2104, 6521, 540, 519, 18635, 1281, 711, 7357, 2992, 513, 2203, 9186, 269, 1717, 267, 519, 16874, 4456, 274, 303, 1138, 12885, 513, 4389, 3448, 2956, 540, 661, 6573, 1317, 519, 4806, 568, 6719, 607, 519, 8521, 5057, 267, 2864, 982, 607, 519, 1101, 835, 538, 519, 1459, 2916, 630, 295, 28739, 13403, 1696, 620, 269, 476, 1220, 278, 1916, 276, 269, 8177, 593, 519, 1459, 2916, 454, 28274, 519, 681, 6717, 288, 593, 519, 13387, 22114, 540, 2520, 18821, 1113, 15627, 543, 13247, 267, 621, 729, 1336, 602, 519, 2034, 681, 6717, 288, 6292, 8761, 519, 661, 6573, 538, 519, 2361, 540, 2520, 18821, 1113, 15627, 630, 8993, 269, 476, 275, 1040, 898, 729, 1336, 602, 950, 606, 18811, 748, 1164, 2392, 558, 7149, 936, 519, 8109, 11335, 267, 1129, 4328, 519, 2942, 661, 6573, 5123, 267, 519, 13247, 936, 713, 3148, 568, 2630, 3339, 267, 2523, 936, 519, 7013, 32363, 613, 534, 7256, 543, 9456, 6316, 269, 2201, 519, 14669, 267, 606, 5580, 7400, 7814, 4577, 31096, 267, 799, 568, 2965, 2404, 609, 519, 2318, 661, 6573, 5123, 267, 5012, 547, 606, 2333, 538, 13247, 936, 519, 9456, 11335, 563, 5415, 4481, 267, 1282, 519, 2318, 5123, 267, 519, 6514, 540, 519, 12432, 22114, 8761, 602, 519, 2333, 568, 540, 476, 271, 269, 275, 1700, 271, 269, 277, 6515, 1554, 6629, 272, 936, 519, 5045, 32363, 613, 534, 267, 1247, 621, 15186, 14556, 5809, 4724, 519, 9456, 6316, 540, 519, 16935, 630, 24426, 28464, 543, 5840, 1070, 8757, 909, 547, 476, 272, 6515, 1554, 6629, 272, 269, 634, 2333, 568, 21260, 630, 1993, 476, 271, 269, 272, 1700, 271, 269, 274, 6515, 1554, 6629, 272, 1070, 855, 711, 19250, 1713, 936, 10255, 543, 11894, 630, 8993, 269, 476, 276, 320, 1916, 7628, 519, 2942, 5123, 630, 8993, 269, 476, 276, 321, 1070, 513, 8101, 6175, 3587, 7986, 936, 5045, 32363, 613, 534, 7256, 267, 3345, 4000, 267, 543, 30259, 267, 609, 8445, 2418, 540, 476, 271, 269, 279, 6515, 1554, 6629, 272, 936, 519, 25878, 32363, 613, 534, 7256, 267, 1247, 519, 19250, 28971, 13247, 6175, 568, 1336, 936, 7187, 10255, 563, 8201, 476, 277, 2982, 519, 12432, 22114, 540, 519, 7131, 291, 543, 12676, 2862, 17523, 1282, 519, 1079, 11775, 540, 661, 6573, 269, 898, 666, 581, 2938, 602, 1282, 519, 2318, 5123, 606, 2333, 540, 12676, 2862, 630, 8993, 269, 476, 277, 320, 264, 568, 4767, 5631, 936, 519, 32363, 613, 534, 7256, 630, 272, 269, 272, 6515, 1554, 6629, 272, 264, 543, 513, 6175, 540, 7131, 291, 630, 8993, 269, 476, 277, 322, 1070, 909, 547, 476, 274, 2395, 538, 25878, 32363, 613, 534, 7256, 269, 1452, 2164, 616, 5812, 609, 519, 2623, 540, 13247, 1282, 713, 5123, 630, 8993, 269, 476, 276, 320, 1040, 4438, 519, 2942, 5123, 267, 606, 2949, 6175, 540, 3232, 8515, 568, 1336, 267, 609, 5021, 1871, 540, 476, 272, 269, 277, 6515, 1554, 6629, 272, 936, 11894, 630, 8993, 269, 476, 277, 321, 1040, 634, 7131, 291, 6799, 513, 8101, 2333, 538, 519, 7013, 1858, 630, 8993, 269, 476, 277, 323, 264, 630, 10946, 3065, 1341, 274, 269, 276, 2395, 936, 7013, 32363, 613, 534, 1070, 1247, 11081, 538, 519, 7187, 1858, 630, 10946, 3065, 540, 6567, 274, 2395, 936, 32720, 10255, 1916, 4322, 2242, 540, 519, 13247, 12512, 540, 519, 9456, 11335, 538, 2901, 5123, 540, 661, 6573, 3858, 1134, 609, 519, 12136, 540, 3665, 6632, 610, 3819, 1296, 269, 1280, 3236, 267, 476, 2735, 272, 568, 6353, 676, 606, 11108, 2318, 8445, 540, 519, 661, 6573, 4994, 630, 295, 28739, 13403, 1696, 620, 269, 476, 1220, 278, 264, 543, 568, 8197, 4080, 607, 606, 3665, 6632, 5162, 538, 7262, 11894, 630, 307, 14660, 7719, 476, 1960, 277, 1070, 1141, 5021, 2318, 13247, 22114, 941, 1336, 630, 8993, 269, 476, 276, 320, 1040, 634, 5162, 540, 476, 1960, 271, 267, 799, 568, 2808, 607, 5393, 3819, 538, 5840, 630, 298, 583, 1408, 543, 623, 1794, 476, 1960, 279, 264, 543, 538, 519, 25878, 32363, 613, 534, 10195, 630, 299, 643, 3385, 543, 2667, 574, 752, 641, 9567, 657, 476, 1220, 278, 1070, 568, 8655, 547, 519, 2942, 5123, 609, 519, 5207, 4994, 1871, 630, 295, 28739, 13403, 1696, 620, 269, 476, 1220, 278, 1070, 30260, 938, 2164, 585, 13247, 6175, 543, 7131, 291, 2333, 936, 519, 25878, 851, 540, 519, 8947, 1858, 269, 2859, 3622, 267, 519, 18811, 748, 14926, 615, 569, 2095, 267, 799, 1915, 3278, 519, 11626, 10009, 1282, 519, 2318, 661, 6573, 5123, 267, 814, 1044, 7152, 547, 3565, 547, 513, 13247, 2333, 936, 519, 9456, 11335, 630, 298, 583, 1408, 543, 623, 1794, 476, 1960, 279, 282, 667, 6064, 601, 2129, 543, 10496, 12786, 527, 476, 1220, 274, 1916, 8993, 999, 476, 275, 321, 22698, 4159, 519, 28138, 4452, 902, 540, 519, 1101, 681, 6717, 288, 6292, 1063, 519, 13387, 22114, 540, 476, 4335, 3620, 25508, 2520, 18821, 1113, 15627, 543, 5210, 267, 6606, 269, 898, 729, 1336, 602, 2318, 630, 17463, 264, 2520, 18821, 1113, 4463, 22114, 936, 519, 9456, 11335, 267, 8108, 519, 2942, 630, 27168, 264, 661, 6573, 5123, 267, 1291, 547, 2799, 630, 1372, 920, 1078, 264, 5021, 543, 5934, 5210, 563, 5415, 4481, 267, 1282, 519, 2318, 5123, 267, 519, 6175, 540, 519, 5021, 2837, 22114, 2039, 1063, 476, 271, 269, 275, 4113, 543, 476, 271, 269, 279, 9180, 936, 519, 5259, 1858, 543, 3345, 4000, 267, 1247, 19589, 630, 6629, 272, 269, 279, 9180, 264, 616, 1336, 936, 18626, 11894, 630, 8993, 269, 476, 278, 320, 1040, 4438, 519, 2942, 5123, 267, 519, 7805, 2333, 630, 8993, 269, 476, 278, 321, 264, 568, 3152, 936, 519, 7262, 6316, 540, 519, 8947, 1858, 267, 609, 5021, 1871, 540, 476, 272, 9180, 267, 1247, 621, 568, 538, 519, 6967, 8947, 1858, 563, 8256, 11962, 609, 519, 1764, 540, 519, 2318, 5123, 593, 519, 5021, 2837, 22114, 3892, 267, 519, 1611, 5934, 2837, 8761, 606, 2949, 1713, 6175, 936, 519, 8947, 3148, 609, 2147, 3892, 543, 3152, 9588, 630, 8993, 269, 476, 278, 322, 1070, 890, 1136, 693, 6567, 273, 269, 275, 9180, 269, 2201, 519, 14669, 267, 1282, 519, 2942, 5123, 267, 513, 19250, 1713, 2333, 568, 1336, 936, 519, 2898, 1858, 267, 609, 5021, 2418, 540, 476, 271, 269, 279, 9180, 936, 18626, 10255, 630, 8993, 269, 476, 278, 323, 1916, 6097, 547, 8431, 269, 476, 279, 267, 1141, 519, 22114, 540, 519, 30455, 570, 10946, 3445, 543, 570, 2381, 1015, 616, 10268, 267, 513, 6175, 3587, 10423, 1282, 519, 2318, 5123, 585, 1312, 17523, 936, 519, 8947, 1858, 269, 901, 6175, 568, 811, 7986, 585, 570, 2381, 1015, 267, 1141, 513, 8445, 540, 476, 271, 269, 280, 9180, 568, 1336, 936, 519, 32363, 613, 534, 7256, 543, 476, 272, 269, 272, 9180, 936, 7187, 10255, 267, 11021, 606, 2333, 540, 519, 5393, 4411, 14501, 269, 634, 6587, 2623, 568, 4767, 1282, 519, 2942, 5123, 267, 950, 1312, 570, 10946, 3445, 543, 570, 2381, 1015, 2333, 267, 676, 476, 272, 4113, 543, 476, 272, 269, 274, 9180, 267, 6606, 267, 2523, 936, 18626, 10255, 563, 763, 2837, 2333, 1282, 519, 2942, 5123, 568, 5812, 609, 519, 8337, 538, 519, 9456, 11335, 4767, 950, 18811, 748, 521, 719, 615, 569, 2095, 7173, 5661, 630, 30538, 615, 553, 1696, 620, 269, 476, 1960, 280, 1070, 2094, 713, 2095, 568, 513, 8984, 540, 519, 2942, 5123, 630, 295, 28739, 13403, 1696, 620, 269, 476, 1220, 278, 1040, 5015, 267, 3665, 4411, 610, 3636, 1296, 538, 10255, 616, 8197, 8655, 547, 519, 2318, 610, 2942, 661, 6573, 11775, 267, 6606, 267, 543, 6166, 519, 1657, 268, 20197, 2837, 2242, 267, 971, 607, 476, 1960, 273, 630, 27168, 5123, 1070, 606, 5393, 4411, 5162, 630, 8722, 573, 553, 1696, 620, 269, 476, 1220, 275, 282, 4469, 665, 553, 1696, 620, 269, 476, 1220, 276, 264, 543, 476, 1960, 275, 630, 17463, 5123, 1070, 606, 5393, 3636, 1032, 630, 8722, 573, 553, 1696, 620, 269, 476, 1220, 275, 1916, 277, 269, 8177, 593, 2104, 2916, 454, 5804, 8431, 269, 476, 273, 267, 621, 3587, 10423, 602, 519, 661, 6573, 30326, 18922, 547, 519, 5087, 1282, 519, 589, 273, 320, 9183, 267, 1247, 621, 7575, 7532, 1189, 1282, 519, 645, 273, 320, 9183, 267, 607, 3379, 547, 519, 1852, 2196, 269, 901, 6521, 4667, 547, 581, 5812, 609, 15810, 5087, 1189, 12761, 543, 14556, 2305, 540, 519, 7088, 3950, 609, 2810, 8511, 9830, 936, 22583, 9533, 630, 308, 331, 1962, 747, 543, 2441, 2684, 476, 1960, 280, 282, 13535, 543, 18961, 476, 1220, 275, 282, 15622, 339, 26856, 1696, 620, 269, 476, 1220, 277, 264, 543, 7222, 7532, 1189, 10137, 543, 4617, 2287, 540, 519, 7088, 3950, 936, 519, 9456, 11335, 630, 289, 1263, 339, 26856, 1696, 620, 269, 476, 1220, 277, 1916, 763, 1353, 540, 661, 6573, 1764, 593, 2104, 2916, 2882, 519, 3498, 540, 681, 6717, 288, 1063, 16874, 4456, 274, 303, 2520, 18821, 1113, 4463, 1239, 543, 16874, 305, 300, 274, 303, 13247, 543, 5021, 543, 5934, 2837, 1239, 585, 1142, 9183, 269, 634, 6476, 729, 2944, 609, 519, 7222, 1852, 2196, 1239, 540, 519, 1079, 3631, 269, 898, 729, 7152, 602, 519, 1852, 2196, 8197, 20186, 519, 1292, 681, 6717, 288, 8424, 1063, 519, 1079, 4610, 1247, 621, 19306, 519, 661, 6573, 4806, 543, 922, 1764, 593, 519, 1614, 6172, 520, 1670 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5542, 1500, 4505, 269, 8281, 891, 6119, 538, 1547, 21186, 3898, 780, 7659, 10842, 5202, 281, 8550, 1349, 1110, 6119, 8259, 25009, 12799, 676, 519, 2278, 4433, 5148, 3257, 865, 1522, 1267, 538, 19888, 1600, 4539, 269, 4746, 267, 2057, 23842, 1110, 338, 689, 796, 591, 1881, 7270, 1813, 547, 2799, 3354, 4220, 2404, 609, 18453, 3892, 780, 3721, 476, 279, 281, 5029, 1125, 8281, 539, 3525, 338, 454, 8620, 513, 1007, 17835, 3957, 1412, 7116, 338, 262, 2047, 3330, 519, 1292, 1547, 332, 710, 8154, 15682, 269, 18734, 782, 5833, 1547, 21186, 6119, 883, 713, 9241, 2813, 17835, 269, 5901, 3950, 540, 1367, 1110, 4408, 585, 2104, 4704, 780, 3721, 476, 280, 281, 16259, 28149, 5487, 684, 7815, 454, 3725, 13449, 519, 28149, 7438, 7815, 267, 4180, 602, 707, 9168, 9043, 3788, 5697, 269, 13782, 622, 547, 1412, 9743, 718, 725, 262, 543, 13182, 2436, 519, 12012, 9043, 10525, 519, 2953, 1110, 4452, 518, 2012, 9944, 922, 2140, 269, 1403, 9811, 267, 3136, 547, 5153, 476, 1015, 282, 6382, 267, 30603, 17778, 476, 274, 268, 276, 2394, 3811, 780, 3721, 476, 1015, 281, 14840, 3525, 4765, 28149, 454, 18208, 519, 7591, 7735, 7923, 547, 707, 8242, 9043, 269, 14190, 28149, 942, 547, 5352, 2556, 12122, 6119, 1644, 547, 8704, 1110, 338, 269, 16270, 12032, 267, 4283, 707, 28149, 1158, 609, 8476, 10342, 3177, 676, 3773, 1110, 338, 2439, 6962, 912, 9743, 16226, 1110, 338, 593, 28149, 3091, 3970, 1652, 7399, 585, 9750, 11080, 2833, 3564, 29877, 7687, 269, 1635, 20170, 547, 713, 3102, 5850, 267, 3755, 666, 18390, 21160, 741, 28149, 1604, 1247, 19086, 1455, 25354, 2404, 609, 16789, 10380, 2553, 269, 17949, 3695, 11995, 3860, 3255, 4547, 8521, 998, 6707, 7471, 1110, 338, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 9743, 718, 3525, 338, 593, 28149, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 6092, 5149, 281, 4197, 22731, 16429, 538, 8567, 692, 8893, 20638, 281, 4841, 786, 1174, 519, 1523, 540, 3312, 5609, 1369, 4168, 18381, 543, 922, 4644, 538, 19795, 630, 1492, 1353, 540, 1480, 7919, 6393, 7072, 912, 5331, 952, 596, 941, 547, 1376, 609, 513, 10145, 1793, 622, 1169, 1554, 910, 1100, 8823, 540, 19108, 267, 2063, 3018, 267, 610, 1256, 707, 14512, 256, 2334, 1131, 581, 3833, 1945, 267, 9327, 1405, 621, 286, 1809, 1018, 952, 713, 2856, 7012, 1405, 1175, 827, 30534, 282, 3079, 267, 621, 6719, 519, 1533, 540, 1373, 1863, 689, 1022, 4636, 4777, 902, 267, 9073, 267, 610, 21359, 602, 649, 723, 2479, 1500, 610, 15110, 269, 901, 568, 693, 519, 2295, 540, 1620, 1412, 13092, 5609, 10086, 513, 1883, 3661, 538, 4168, 18381, 269, 2913, 781, 4685, 883, 1565, 811, 827, 621, 2439, 4089, 476, 272, 281, 1548, 568, 22731, 16429, 888, 1103, 4168, 10752, 267, 972, 6818, 513, 3661, 1572, 1412, 13092, 5609, 9538, 898, 4016, 547, 519, 1101, 957, 540, 27136, 17171, 950, 14088, 543, 18832, 267, 938, 11937, 2687, 547, 519, 6426, 267, 17696, 4829, 689, 519, 3529, 602, 2696, 1185, 4481, 5143, 873, 711, 547, 3548, 689, 269, 5221, 789, 8359, 547, 27136, 5674, 2696, 267, 741, 2962, 4547, 4539, 711, 1152, 2390, 2933, 855, 849, 2390, 721, 1107, 741, 2104, 5481, 269, 1924, 267, 10271, 3494, 602, 1142, 1268, 9100, 1080, 713, 5609, 995, 2470, 1813, 547, 14088, 543, 18832, 779, 3527, 780, 4131, 781, 1589, 827, 621, 899, 713, 281, 5994, 952, 707, 24107, 13264, 513, 1920, 4341, 267, 971, 607, 9363, 909, 2250, 21557, 269, 4634, 1498, 596, 4769, 1405, 2736, 519, 4341, 3054, 267, 596, 1522, 1869, 3068, 930, 29854, 2059, 609, 707, 24107, 2094, 596, 616, 1312, 851, 540, 519, 1482, 1920, 269, 6684, 267, 2687, 547, 4168, 3450, 267, 3425, 27836, 519, 16203, 540, 14088, 543, 18832, 781, 1098, 326, 1833, 780, 4089, 476, 273, 281, 1215, 6496, 22731, 16429, 8177, 5274, 640, 888, 3086, 267, 596, 949, 4898, 875, 713, 3504, 1650, 12211, 547, 721, 2221, 269, 4270, 267, 1082, 10271, 1294, 713, 2680, 607, 606, 7778, 585, 1946, 1004, 3006, 798, 1919, 602, 5749, 1405, 2186, 267, 4023, 267, 610, 15962, 2509, 1866, 269, 1358, 1289, 891, 6411, 1412, 7562, 995, 2623, 9538, 4595, 3025, 814, 1044, 4299, 676, 3312, 5609, 267, 18864, 666, 5963, 1246, 2696, 781, 4031, 9985, 593, 741, 1378, 780, 13914, 540, 621, 607, 3843, 547, 1832, 707, 4055, 5544, 1652, 2973, 269, 6736, 707, 1655, 3646, 267, 19692, 610, 2663, 267, 7452, 7213, 12885, 1586, 267, 8506, 2834, 7738, 269, 19452, 267, 5103, 938, 7287, 547, 2141, 3442, 1318, 936, 4636, 267, 649, 1419, 23881, 614, 543, 3479, 5609, 995, 23339, 780, 4089, 476, 274, 281, 28304, 22731, 16429, 3414, 24553, 543, 18321, 454, 8601, 14344, 519, 6228, 540, 3312, 5609, 267, 1034, 8371, 540, 8567, 11168, 602, 2043, 666, 7753, 621, 998, 10143, 11419, 543, 5132, 538, 4906, 2441, 269, 1635, 18468, 538, 13924, 543, 16561, 3571, 15093, 607, 8569, 585, 938, 21359, 267, 13794, 1265, 19807, 543, 6418, 4708, 780, 13706, 713, 21658, 281, 14597, 596, 18417, 8697, 2576, 3116, 781, 11442, 1286, 269, 1306, 6362, 585, 19807, 2982, 1121, 16017, 543, 18515, 547, 1118, 993, 1742, 269, 3767, 4952, 952, 519, 8227, 4956, 547, 31799, 596, 4625, 543, 10516, 596, 1776, 6216, 1007, 11442, 1286, 856, 540, 11587, 269, 1411, 9364, 1745, 17212, 1386, 543, 18507, 267, 1318, 286, 2334, 781, 2147, 547, 8391, 2696, 781, 23502, 1310, 9301, 938, 28919, 3361, 676, 3312, 5609, 780, 6962, 912, 8139, 3312, 5609, 2337, 721, 5660, 8103, 781, 991, 585, 8296, 267, 6568, 267, 543, 19807, 269, 5457, 267, 7488, 540, 4978, 267, 8156, 6000, 543, 1866, 9900, 1759, 593, 2463, 543, 2648, 3788, 1898, 269, 2991, 782, 267, 3884, 1405, 1818, 519, 1158, 1732, 1927, 1454, 811, 14785, 982, 2469, 21088, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26576, 269, 18179, 7348, 454, 763, 1433, 4564, 513, 2565, 2079, 540, 9099, 14985, 607, 1134, 607, 2079, 540, 24396, 543, 7793, 545, 3344, 540, 1272, 543, 960, 540, 17124, 267, 5771, 13653, 538, 519, 5943, 540, 2757, 31249, 13354, 18381, 269, 634, 2278, 8761, 2596, 18765, 540, 5771, 543, 9727, 32006, 881, 3604, 540, 4168, 4984, 269, 634, 1433, 568, 5497, 585, 513, 2647, 2039, 540, 3988, 563, 396, 350, 19757, 21268, 21833, 3522, 17221, 3264, 29394, 658, 4063, 476, 272, 269, 2201, 5771, 476, 273, 269, 17124, 476, 274, 269, 5999, 543, 4267, 968, 763, 1434, 1183, 4177, 3947, 1010, 1272, 2507, 892, 30716, 604, 673, 2262, 540, 7261, 22567, 24686, 1105, 540, 18293, 543, 782, 6576, 7734, 3370, 676, 4651, 12253, 454, 2171, 2099, 596, 519, 1433, 676, 8355, 328, 559, 5204, 810, 344, 5271, 267, 513, 1134, 8153, 1857, 1268, 543, 17308, 4171, 6180, 531, 1272, 8694, 911, 326, 1227, 593, 5437, 267, 476, 736, 267, 476, 1220, 280, 269, 4340, 547, 835, 4528, 540, 1876, 11268, 7634, 519, 12638, 729, 8149, 585, 3909, 4128, 267, 1317, 540, 1010, 29966, 543, 32252, 2218, 2238, 1851, 12356, 269, 634, 21549, 729, 16111, 12219, 676, 13222, 540, 17119, 626, 1895, 563, 1607, 12575, 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, 24314, 16429, 257, 607, 851, 540, 834, 32628, 1315, 4168, 28613, 1315, 28668, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7982, 950, 594, 729, 538, 2852, 267, 594, 1185, 513, 887, 2174, 622, 945, 729, 11613, 18930, 539, 609, 15990, 3150, 6214, 269, 2913, 781, 1289, 1864, 25455, 269, 1261, 1131, 6108, 3108, 2390, 3108, 2542, 3377, 4930, 267, 6644, 4773, 267, 543, 4081, 9382, 827, 519, 2797, 5251, 538, 15990, 269, 2311, 1101, 267, 594, 2219, 621, 729, 1175, 513, 8429, 1719, 267, 855, 607, 942, 4682, 593, 267, 594, 7691, 602, 713, 729, 1010, 13395, 15908, 1107, 1945, 646, 5963, 6068, 543, 729, 13730, 827, 780, 3080, 1554, 267, 25455, 3357, 1394, 689, 1362, 609, 513, 5458, 1989, 514, 593, 1010, 3068, 269, 834, 291, 8775, 2437, 646, 1767, 31113, 267, 834, 9767, 4465, 1405, 3494, 1018, 1175, 5949, 256, 1358, 2811, 2348, 741, 16232, 12836, 1985, 1032, 267, 543, 594, 1175, 3893, 14376, 547, 979, 547, 15990, 547, 3382, 873, 10590, 898, 5828, 856, 602, 835, 540, 1010, 20485, 1185, 5227, 1864, 547, 960, 607, 513, 28479, 766, 19784, 585, 513, 1507, 2228, 8313, 21751, 538, 7489, 6214, 780, 7021, 519, 1576, 540, 519, 1739, 3275, 267, 25455, 2968, 811, 543, 811, 1266, 1484, 539, 538, 1010, 8989, 269, 1261, 6170, 9118, 17334, 15388, 10457, 267, 7421, 3609, 18747, 267, 543, 5967, 532, 4966, 269, 3571, 15131, 729, 21380, 267, 543, 1354, 594, 6785, 621, 267, 594, 1336, 8885, 3478, 647, 22486, 883, 519, 1158, 540, 15990, 3150, 6214, 1932, 269, 1284, 1131, 723, 12699, 9840, 827, 519, 1114, 6105, 543, 14761, 267, 3843, 547, 3589, 945, 1131, 2097, 856, 593, 1283, 780, 292, 3005, 1554, 6368, 8452, 267, 543, 25455, 24363, 1055, 547, 15990, 547, 1867, 593, 519, 2621, 607, 789, 11200, 539, 269, 594, 23362, 19179, 1243, 1010, 10311, 267, 10992, 1250, 6049, 7683, 585, 1022, 1007, 6835, 610, 17408, 1115, 269, 1656, 1287, 267, 1945, 6397, 5949, 780, 297, 820, 781, 5172, 11134, 267, 519, 896, 27594, 689, 519, 14891, 28626, 9549, 630, 7894, 303, 1070, 8694, 909, 10888, 519, 9550, 269, 901, 729, 513, 2101, 13347, 267, 607, 519, 27173, 558, 842, 836, 630, 298, 21587, 264, 1185, 1044, 538, 1379, 585, 1034, 540, 15990, 781, 1686, 269, 1809, 1256, 811, 26648, 982, 519, 667, 13048, 781, 3094, 729, 519, 2601, 3297, 621, 281, 7839, 27025, 8351, 609, 519, 918, 21587, 781, 7829, 540, 519, 4346, 543, 3875, 13313, 23215, 1023, 780, 2026, 25455, 1642, 1386, 4514, 883, 519, 21987, 540, 519, 9550, 267, 646, 4362, 602, 1082, 1004, 5433, 771, 523, 325, 13361, 2213, 676, 519, 2757, 1079, 18407, 1062, 269, 589, 3395, 1297, 540, 1762, 17037, 941, 7432, 547, 3791, 18407, 3681, 543, 4830, 10457, 267, 10452, 513, 6626, 7287, 585, 1689, 543, 6963, 1369, 15990, 3150, 2486, 780, 1607, 6602, 17275, 513, 16012, 7279, 538, 25455, 267, 3056, 1864, 547, 2263, 1585, 1514, 5322, 543, 29065, 7341, 6322, 693, 18534, 12686, 15990, 781, 2797, 5251, 269, 3683, 519, 1296, 267, 646, 4797, 547, 1246, 891, 7835, 5702, 267, 1419, 4687, 4241, 4030, 543, 2984, 609, 803, 8164, 649, 9575, 909, 780, 7437, 25455, 781, 2833, 267, 594, 6591, 513, 2189, 7071, 585, 519, 10848, 543, 16082, 540, 15990, 3150, 6214, 269, 2859, 11932, 267, 2705, 267, 594, 4121, 827, 519, 2956, 540, 9363, 5483, 543, 7722, 538, 938, 2950, 267, 2436, 2199, 610, 2518, 269, 1635, 5807, 9758, 7279, 543, 6568, 2509, 1866, 267, 649, 666, 1628, 13123, 2066, 2686, 17337, 543, 3565, 547, 6209, 5188, 543, 3356, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 29205, 596, 1683, 513, 3102, 2079, 593, 519, 2797, 1062, 540, 15990, 543, 875, 621, 814, 7960, 538, 519, 2250, 8717, 888, 296, 666, 1683, 596, 609, 606, 7650, 540, 519, 2797, 1062, 540, 512, 2967, 9774, 543, 875, 621, 814, 2919, 936, 519, 2250, 8717, 780, 339, 2967, 9774, 568, 513, 11180, 14081, 609, 513, 3818, 18407, 1062, 267, 1141, 519, 7022, 5713, 607, 519, 2212, 540, 1533, 543, 2229, 269, 519, 2197, 814, 513, 27033, 600, 1968, 15424, 1062, 267, 519, 15424, 586, 10224, 267, 609, 476, 13647, 16295, 11221, 998, 3818, 2173, 1897, 14218, 4293, 269, 519, 2165, 540, 519, 7022, 568, 2185, 1296, 267, 1247, 9777, 2209, 616, 11221, 1169, 2185, 1296, 780, 1492, 2797 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1851, 2043, 945, 4163, 621, 563, 763, 1715, 3840, 32081, 4741, 8095, 719, 814, 1044, 10647, 513, 12681, 1788, 5473, 10228, 15089, 641, 648, 781, 3687, 296, 517, 609, 513, 24607, 1647, 1153, 563, 763, 18303, 20576, 786, 2671, 922, 6791, 593, 24758, 1382, 883, 20749, 14323, 3156, 609, 519, 3804, 540, 14027, 10531, 4915, 563, 288, 1007, 2079, 9060, 930, 11871, 4309, 811, 18758, 9489, 982, 1866, 563, 288, 1715, 10215, 14012, 3081, 519, 2197, 781, 4719, 14842, 4031, 991, 547, 581, 556, 7721, 600, 1441, 547, 948, 8396, 2916, 1689, 267, 519, 1715, 10215, 670, 14283, 5359, 563, 2304, 8241, 3993, 781, 24235, 538, 519, 7972, 540, 1200, 1453, 949, 581, 556, 7721, 600, 1441, 1310, 4466, 602, 1079, 540, 519, 1453, 5645, 513, 13487, 2855, 15219, 8926, 30499, 5444, 14583, 563, 1103, 3163, 713, 3018, 281, 13354, 2079, 540, 3023, 3604, 538, 25850, 5444, 4082, 267, 543, 811, 269, 0, 301, 534, 617, 2607, 6765, 723, 1044, 2966, 547, 7753, 891, 2591, 1813, 547, 519, 1646, 543, 21753, 540, 6289, 739, 23461, 269, 898, 814, 1044, 4080, 602, 267, 6289, 739, 23461, 723, 519, 2702, 547, 2149, 5061, 689, 519, 12159, 538, 519, 16063, 8778, 267, 519, 2029, 849, 2636, 3077, 6765, 540, 5061, 547, 1585, 2127, 540, 519, 1560, 269, 634, 2029, 6087, 519, 6765, 540, 5061, 602, 616, 14605, 1216, 19729, 543, 666, 1683, 1797, 540, 21271, 532, 519, 6797, 267, 7551, 7303, 519, 1101, 1780, 10307, 269, 15089, 12771, 4679, 5711, 6915, 822, 22355, 540, 5061, 1813, 547, 741, 7463, 19718, 6127, 971, 607, 4726, 696, 633, 1439, 26014, 2670, 543, 616, 2111, 547, 2611, 538, 519, 1973, 10009, 585, 513, 3476, 942, 267, 16089, 519, 11368, 3075, 538, 513, 6417, 6752, 3056, 547, 1447, 11919, 15088, 543, 10893, 2427, 13716, 338, 563, 22117, 532, 13746, 1683, 8468, 543, 4665, 919, 3744, 267, 3173, 267, 19174, 267, 8030, 267, 543, 9439, 538, 782, 3344, 547, 2671, 741, 3318, 543, 4081, 1702, 538, 519, 4610, 7384, 267, 4702, 267, 23408, 267, 9297, 267, 1514, 9443, 267, 2359, 267, 2564, 2257, 267, 543, 1644, 10459, 269, 6732, 4260, 11594, 849, 6663, 547, 3914, 513, 1804, 1297, 540, 3988, 5001, 609, 3312, 543, 1699, 1382, 960, 6192, 593, 519, 4105, 2152, 540, 519, 1657, 1271, 10459, 269, 634, 13746, 11863, 782, 3988, 547, 1224, 267, 2070, 267, 4647, 543, 1820, 519, 2407, 17856, 540, 782, 3370, 4930, 1510, 1022, 20478, 610, 9993, 563, 8310, 4266, 8242, 593, 5181, 267, 476, 1001, 275, 0, 1607, 2376, 568, 827, 519, 834, 291, 10719, 2580, 513, 5929, 540, 1977, 2528, 269, 11242, 1331, 513, 834, 15640, 538, 519, 10145, 257, 9864, 9598, 566, 607, 1134, 607, 3020, 11721, 4426, 2440, 327, 6416, 2055, 563, 307, 8084, 281, 1977, 2528, 268, 634, 667, 10719, 454, 9915, 299, 281, 476, 273, 910, 476, 275, 454, 291, 17805, 281, 3690, 5296, 267, 9864, 9598, 566, 267, 8223, 2055, 454, 29423, 1470, 281, 15881, 566, 281, 476, 274, 281, 4962, 3950, 454, 290, 1042, 1080, 281, 23866, 543, 1257, 941, 9862, 689, 2326, 2813, 676, 20429, 540, 3013, 269, 15881, 566, 676, 19378, 2506, 828, 543, 18321, 700, 777, 573, 639, 563, 15648, 4567, 281, 769, 1857, 6389, 630, 7224, 10677, 264, 910, 21277, 1027, 676, 966, 29151, 513, 772, 2529, 269, 6554, 11769, 563, 9827, 281, 1411, 949, 3442, 547, 5491, 7046, 268, 2464, 299, 3820, 538, 1840, 547, 519, 2959, 3254, 1657, 269, 901, 568, 15874, 267, 855, 711, 2838, 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 ]
[ 272, 270, 280, 692, 28775, 713, 5280, 563, 1892, 21453, 865, 596, 6031, 602, 476, 279, 270, 274, 815, 1945, 0, 1432, 2306, 519, 4527, 540, 27155, 338, 24819, 2496, 21691, 8662, 338, 616, 4010, 1018, 596, 666, 1205, 676, 4946, 543, 14921, 1634, 543, 7164, 1919, 267, 865, 789, 8209, 2049, 693, 3388, 602, 3322, 2596, 7223, 563, 296, 3580, 1039, 1776, 2626, 281, 789, 616, 1434, 585, 4114, 26305, 811, 7294, 12596, 543, 616, 1360, 2653, 547, 798, 26398, 609, 269, 7102, 21230, 5347, 6024, 1599, 267, 585, 1383, 267, 666, 581, 4114, 13846, 2282, 513, 1448, 676, 513, 5276, 9971, 952, 596, 968, 345, 7112, 538, 892, 5702, 2614, 269, 1411, 666, 1205, 1732, 4114, 574, 725, 952, 596, 1450, 585, 2362, 24266, 2474, 267, 971, 607, 959, 15635, 908, 519, 13177, 3126, 540, 519, 1599, 1310, 519, 4110, 268, 273, 2474, 269, 4495, 596, 798, 713, 267, 630, 14783, 264, 16755, 616, 1454, 5488, 547, 12337, 269, 1306, 2576, 3116, 1767, 267, 596, 666, 849, 798, 5276, 7223, 1210, 519, 1395, 6706, 338, 540, 4110, 1447, 982, 737, 607, 707, 4493, 630, 528, 8726, 824, 4493, 596, 1522, 1416, 827, 994, 2005, 781, 519, 824, 1259, 5180, 281, 1358, 616, 519, 2679, 7161, 1317, 789, 616, 2241, 780, 1103, 6128, 630, 528, 2257, 538, 2489, 267, 2731, 1070, 649, 4043, 547, 2769, 1919, 538, 824, 267, 1634, 1919, 602, 616, 2241, 269, 901, 1259, 649, 666, 1628, 909, 3833, 1950, 1702, 538, 513, 6181, 334, 899, 6752, 269, 6271, 540, 891, 24819, 2035, 538, 2979, 568, 5276, 7223, 269, 966, 26662, 543, 14290, 630, 528, 811, 8308, 5276, 7851, 264, 616, 1360, 2653, 547, 1174, 543, 946, 267, 2943, 1118, 909, 519, 4493, 540, 513, 2603, 540, 519, 4359, 2979, 899, 267, 552, 3052, 1421, 6198, 2079, 267, 799, 666, 581, 4330, 607, 5276, 7223, 609, 3252, 3079, 540, 10321, 543, 14290, 563, 2791, 1589, 21335, 616, 24819, 286, 8347, 1840, 256, 2334, 779, 10876, 256, 1656, 8691, 1932, 2439, 3719, 21335, 616, 1175, 1018, 596, 1205, 950, 596, 9192, 1840, 543, 8691, 2507, 865, 789, 2461, 2469, 547, 1397, 909, 5176, 10876, 1840, 543, 8691, 798, 563, 2414, 2322, 513, 3787, 10178, 857, 518, 1893, 593, 1018, 824, 1004, 723, 2907, 1767, 267, 9971, 14034, 616, 10502, 519, 1863, 620, 613, 30944, 936, 513, 2016, 8258, 269, 901, 568, 1175, 899, 875, 596, 1106, 1863, 6152, 5624, 610, 1863, 13838, 269, 1284, 2161, 602, 621, 568, 513, 1863, 1843, 538, 519, 7121, 540, 630, 5570, 32477, 264, 681, 17038, 613, 30944, 563, 5445, 2811, 24819, 585, 476, 273, 4128, 2731, 780, 3080, 1373, 1317, 789, 6923, 4766, 519, 1919, 649, 2811, 5461, 538, 899, 1788, 850, 5163, 267, 2127, 267, 12531, 267, 3092, 269, 634, 2034, 1373, 1317, 649, 4312, 1336, 789, 4865, 513, 10935, 2903, 540, 8799, 3601, 971, 607, 1373, 2111, 547, 16977, 3252, 23182, 267, 789, 1106, 513, 8258, 543, 5924, 6152, 2230, 267, 3092, 780, 3383, 1256, 952, 519, 2243, 596, 2811, 4974, 814, 4986, 547, 798, 609, 21335, 267, 18825, 814, 4440, 556, 874, 337, 1078, 621, 883, 1945, 827, 21335, 1022, 1811, 563, 2252, 2818, 540, 1305, 540, 2338, 616, 8444, 267, 543, 1840, 543, 8691, 616, 32128, 543, 25617, 7554, 267, 1287, 21335, 616, 6675, 543, 7135, 269, 1403, 596, 1491, 930, 3693, 1535, 543, 1039, 543, 9062, 621, 676, 8631, 936, 543, 936, 1586, 267, 1519, 4946, 543, 14921, 621, 609, 3294, 267, 596, 1205, 21335, 269, 898, 568, 5310, 519, 14724, 1875, 13700, 20190, 1843, 5833, 676, 4946, 543, 14921, 269, 9717, 741, 16134, 267, 621, 568, 24903, 1360, 4277, 543, 3078, 602, 1804, 5049, 540, 3252, 666, 581, 1134, 4114, 13846, 676, 891, 2241, 3615, 563, 1607, 568, 6148, 711, 1644, 547, 707, 2243, 855, 594, 4312, 1044, 536, 4474, 1250, 2212, 593, 713, 1382, 1966, 2094, 476, 1001, 280, 269, 901, 3018, 781, 3801, 3322, 6029, 519, 8635, 1422, 842, 318, 296, 1923, 325, 3287, 31206, 15848, 3436, 524, 1923, 296, 347, 1422, 338, 1575, 318, 296, 1923, 325, 3287, 31206, 585, 930, 3586, 524, 285, 271, 267, 607, 535, 9832, 538, 930, 1920, 540, 3252, 543, 585, 782, 1016, 5793, 10094, 594, 815, 1496, 320, 14720, 316, 540, 519, 1770, 8884, 630, 25669, 6393, 2252, 535, 9832, 538, 519, 1920, 623, 540, 21335, 540, 4110, 562, 267, 1287, 519, 8635, 6585, 269, 901, 568, 1317, 621, 6585, 950, 594, 815, 1496, 271, 267, 272, 316, 676, 2343, 30424, 538, 13113, 7516, 267, 543, 1287, 621, 6585, 585, 782, 1016, 5793, 10094, 594, 815, 1496, 320, 14720, 316, 1317, 519, 1689, 540, 4756, 575, 3287, 264, 815, 535, 9230, 343, 8584, 19422, 321, 8584, 4297, 7472, 513, 575, 3287, 264, 602, 568, 849, 538, 623, 780, 12179, 3118, 267, 2760, 332, 785, 269, 2433, 994, 20776, 1440, 2213, 1100, 835, 814, 5018, 602, 21335, 616, 1031, 547, 4766, 519, 4463, 8957, 942, 11708, 540, 9991, 3615, 267, 543, 547, 4766, 519, 4463, 8957, 942, 11708, 540, 3615, 602, 616, 1641, 547, 5276, 10231, 630, 328, 4318, 269, 3615, 4171, 3432, 4679, 676, 519, 1482, 2179, 1169, 2034, 6393, 1607, 568, 1317, 952, 519, 32671, 12045, 540, 513, 1599, 535, 568, 3586, 267, 1287, 535, 568, 513, 4110, 562, 9971, 269, 630, 4517, 713, 568, 1317, 519, 1884, 3187, 29719, 540, 513, 4110, 562, 9971, 568, 513, 4110, 562, 1341, 476, 272, 9971, 269, 630, 9827, 267, 519, 12045, 540, 513, 4110, 562, 9971, 568, 513, 4110, 562, 910, 476, 272, 9971, 4700, 994, 5445, 616, 1360, 267, 1360, 2653, 547, 798, 16625, 267, 2241, 9273, 609, 269, 898, 781, 10416, 1175, 1840, 4882, 889, 339, 3555, 543, 8691, 269, 901, 5916, 609, 2221, 781, 5904, 543, 519, 13177, 7269, 2306, 621, 5266, 4674, 1652, 547, 1205, 2731, 1434, 19406, 585, 10416, 1022, 1599, 596, 666, 1589, 540, 692, 271, 899, 476, 271, 771, 3697, 0, 29479, 7726, 540, 519, 4303, 910, 11545, 547, 707, 25357, 7901, 282, 2182, 3283, 1152, 692, 898, 568, 4867, 476, 866, 8734, 476, 1001, 279, 267, 476, 2537, 281, 2004, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 1012, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 5437, 454, 7093, 341, 9202, 454, 22296, 300, 11561, 340, 2171, 1320, 293, 337, 306, 320, 454, 28434, 280, 1789, 25313, 2537, 454, 27174, 4281, 280, 1015, 454, 9340, 22659, 15221, 276, 1626, 1704, 454, 8687, 280, 736, 18891, 23417, 2190, 454, 21857, 277, 2767, 28434, 280, 1789, 272, 454, 15411, 26346, 25038, 454, 1892, 12693, 1215, 547, 19532, 27912, 14877, 16534, 17918, 5999, 910, 17918, 11833, 13378, 692, 21776, 476, 736, 267, 476, 1001, 279, 692, 21776, 476, 736, 267, 476, 1001, 279, 692, 6021, 281, 876, 7537, 623, 4306, 692, 1015, 281, 876, 7537, 623, 4306, 692, 763, 8007, 585, 19142, 909, 609, 519, 14261, 1106, 543, 11504, 519, 10004, 568, 281, 476, 277, 1863, 981, 303, 3201, 17118, 547, 2259, 707, 1007, 1983, 1310, 519, 10004, 563, 1892, 12693, 634, 10888, 4640, 585, 476, 10384, 266, 593, 519, 17918, 692, 21776, 476, 736, 267, 476, 1001, 279, 692, 21776, 476, 736, 267, 476, 1001, 279, 692, 6187, 281, 876, 6751, 29643, 692, 5881, 281, 876, 6751, 29643, 692, 1432, 1004, 945, 3914, 519, 1164, 476, 10384, 781, 798, 8335, 286, 1284, 2811, 2469, 547, 2671, 4030, 267, 4388, 543, 2994, 689, 1239, 649, 6394, 593, 936, 476, 2004, 267, 1822, 1053, 945, 1031, 981, 303, 3201, 780, 258, 7412, 700, 10596, 998, 2798, 681, 630, 271, 267, 910, 276, 3738, 543, 590, 630, 275, 267, 271, 2020, 12041, 24606, 454, 12421, 454, 16274, 281, 476, 1428, 8734, 476, 1001, 276, 454, 15803, 281, 476, 275, 454, 18118, 700, 10596, 998, 2798, 681, 630, 271, 267, 910, 276, 3738, 543, 590, 630, 275, 267, 271, 264, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1428, 4239, 476, 1001, 278, 267, 476, 5400, 281, 6246, 454, 876, 281, 876, 692, 11795, 22187, 1384, 18217, 12458, 2020, 9223, 853, 1846, 1384, 271, 260, 630, 876, 281, 876, 264, 2953, 476, 1911, 260, 630, 876, 281, 7871, 264, 4636, 1759, 593, 476, 275, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 18118, 700, 10596, 998, 2798, 681, 630, 271, 267, 910, 276, 3738, 543, 590, 630, 275, 267, 271, 7565, 5408, 4137, 1657, 1040, 8672, 623, 609, 10974, 630, 343, 267, 586, 264, 568, 513, 1448, 593, 7412, 700, 1772, 27976, 3436, 476, 271, 2496, 263, 272, 264, 1535, 285, 275, 454, 263, 273, 264, 586, 285, 268, 276, 692, 734, 2525, 24606, 689, 519, 17918, 11833, 12243, 2652, 13430, 8025, 16730, 4959, 22244, 298, 5085, 312, 589, 645, 4953, 9898, 20591, 290, 4785, 31064, 5508, 24199, 12327, 16898, 32530, 3582, 563, 1607, 4901, 1281, 711, 2743, 2146, 2298, 4441, 269, 898, 814, 1044, 19622, 780, 2252, 596, 1131, 899, 547, 1865, 713, 2243, 5225, 556, 1790, 739, 621, 538, 519, 9757, 8468, 269, 11289, 596, 2439, 2414, 2689, 519, 17918, 11833, 781, 1280, 4548, 5403, 532, 13832, 267, 5225, 1246, 891, 6402, 281, 26592, 1923, 7638, 4472, 7490, 4063, 910, 649, 949, 4894, 9708, 602, 798, 711, 1246, 938, 20171, 4808, 269, 11289, 596, 780, 16920, 778, 906, 692, 306, 10547, 1744, 582, 476, 1001, 278, 268, 1015, 268, 1428, 693, 476, 1321, 269, 6078, 269, 6246, 6751, 26666, 1496, 476, 2641, 269, 4281, 27411, 289, 1923, 7348, 539, 476, 27844, 2053, 476, 6540, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 2004, 278, 4905, 454, 3725, 281, 7412, 700, 10596, 998, 2798, 681, 630, 271, 267, 910, 276, 3738, 543, 590, 630, 275, 267, 271, 264, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1428, 4239, 476, 1001, 278, 267, 476, 5400, 281, 5325, 454, 332, 329, 1177, 11961, 2465, 5206, 912, 18118, 700, 10596, 998, 2798, 681, 630, 271, 267, 910, 276, 3738, 543, 590, 630, 275, 267, 271, 7565, 5408, 4137, 1657, 1040, 8672, 623, 609, 10974, 630, 343, 267, 586, 264, 568, 513, 1448, 593, 7412, 700, 1772, 27976, 3436, 476, 271, 2496, 263, 272, 264, 1535, 285, 275, 454, 263, 273, 264, 586, 285, 268, 276, 692, 28097, 539, 1934, 281, 1899, 2000, 1790, 13293, 28443, 15304, 338, 8573, 268, 271, 268, 276, 7146, 1606, 268, 275, 268, 271, 268, 5408, 1922, 2682, 268, 629, 913, 268, 1220, 275, 3607, 11258, 16593, 621, 2337, 780, 734, 2525, 24606, 689, 519, 17918, 11833, 12243, 2652, 13430, 8025, 16730, 4959, 22244, 298, 5085, 312, 589, 645, 4953, 9898, 20591, 290, 4785, 31064, 5508, 24199, 12327, 16898, 32530, 3582, 563, 1607, 4901, 1281, 711, 2743, 2146, 2298, 4441, 269, 898, 814, 1044, 19622, 780, 2252, 596, 1131, 899, 547, 1865, 713, 2243, 5225, 556, 1790, 739, 621, 538, 519, 9757, 8468, 269, 11289, 596, 2439, 2414, 2689, 519, 17918, 11833, 781, 1280, 4548, 5403, 532, 13832, 267, 5225, 1246, 891, 6402, 281, 26592, 1923, 7638, 4472, 7490, 4063, 910, 649, 949, 4894, 9708, 602, 798, 711, 1246, 938, 20171, 4808, 269, 11289, 596, 780, 6303, 29390, 3725, 281, 7412, 700, 10596, 998, 2798, 681, 630, 271, 267, 910, 276, 3738, 543, 590, 630, 275, 267, 271, 264, 1299, 333, 2125, 1496, 258, 21529, 316, 476, 1428, 4239, 476, 1001, 278, 267, 476, 5400, 281, 5325, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 258, 27387, 281, 14572, 585, 834, 320, 257, 543, 834, 321, 5016, 272, 269, 12361, 14572, 585, 834, 320, 257, 543, 834, 321, 5016, 763, 1966, 568, 513, 1899, 568, 6719, 676, 519, 3830, 1269, 1314, 1341, 676, 815, 476, 275, 6911, 296, 729, 2111, 547, 2626, 519, 1101, 1906, 2055, 2543, 514, 713, 3830, 269, 1809, 713, 1966, 2451, 7334, 1018, 547, 798, 269, 774, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3203, 4103, 269, 7348, 619, 949, 1831, 3742, 5171, 267, 1071, 2275, 805, 832, 267, 610, 1256, 5396, 540, 519, 4062, 3294, 269, 6270, 29355, 2609, 2736, 1524, 7496, 1063, 1685, 518, 543, 4715, 1807, 267, 2870, 3255, 585, 3838, 1995, 267, 5188, 267, 543, 18497, 8086, 630, 298, 6856, 267, 476, 1001, 274, 1040, 769, 930, 8320, 267, 7589, 1522, 4125, 1463, 5872, 282, 538, 1866, 267, 26164, 519, 2680, 3587, 519, 3119, 1106, 540, 6278, 780, 8138, 11437, 281, 7726, 532, 11870, 338, 543, 3038, 3183, 23539, 454, 24801, 13430, 21761, 267, 13437, 543, 11059, 3203, 5713, 607, 513, 3760, 585, 4101, 8789, 19237, 267, 14908, 267, 543, 2686, 10054, 269, 1452, 1008, 23148, 666, 1491, 1585, 3029, 267, 1519, 24337, 267, 20451, 267, 30925, 267, 610, 17522, 269, 1635, 1016, 31844, 6788, 267, 5159, 16436, 9458, 547, 2243, 26608, 18727, 18765, 267, 23827, 622, 1379, 3889, 267, 543, 2015, 4244, 5380, 630, 29834, 1299, 23846, 267, 476, 273, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 25042, 540, 9442, 454, 23430, 540, 24205, 454, 300, 698, 3563, 5098, 538, 15257, 267, 476, 1428, 17099, 11354, 2165, 476, 1001, 271, 7435, 1194, 732, 281, 8111, 6665, 528, 281, 4793, 20891, 1306, 11825, 12854, 538, 24205, 281, 1535, 16282, 454, 1607, 1957, 568, 513, 5039, 1670, 1935, 547, 519, 2361, 540, 2773, 1148, 269, 898, 568, 513, 12007, 1353, 1759, 593, 7422, 543, 11042, 269, 634, 2832, 568, 547, 1174, 875, 543, 1946, 798, 5159, 946, 2773, 1148, 269, 634, 12170, 1267, 2982, 602, 5159, 946, 2773, 1148, 547, 4161, 1018, 1148, 568, 269, 634, 1353, 6941, 875, 5159, 946, 2773, 1148, 607, 513, 7154, 540, 2792, 267, 513, 2792, 1759, 593, 1210, 519, 5639, 538, 1114, 12331, 269, 3414, 1210, 606, 5907, 22012, 5639, 267, 519, 5159, 7001, 519, 5304, 781, 3007, 543, 693, 519, 1482, 942, 789, 4161, 741, 1378, 2239, 543, 4527, 269, 13437, 1148, 568, 2938, 607, 513, 7154, 540, 2792, 267, 799, 13054, 513, 1514, 2497, 1369, 2950, 269, 634, 1353, 9060, 602, 519, 5159, 5352, 606, 16650, 543, 2797, 4656, 585, 741, 5304, 563, 21292, 281, 13437, 3203, 722, 356, 623, 515, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8110, 18504, 543, 11059, 3203, 257, 607, 851, 540, 834, 11286, 1315, 10417, 783, 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, 594, 5063, 3357, 2066, 713, 1888, 1247, 15388, 519, 1686, 540, 519, 5783, 540, 4906, 2441, 540, 700, 2660, 6377, 29513, 630, 299, 9169, 264, 585, 513, 1957, 594, 6415, 1603, 269, 594, 729, 14281, 547, 1451, 827, 519, 11786, 4507, 3823, 5198, 896, 5696, 662, 600, 8479, 781, 5718, 267, 4481, 519, 17913, 11856, 543, 11454, 7333, 593, 4563, 2043, 269, 1306, 594, 1642, 1386, 4514, 883, 519, 1641, 267, 594, 16686, 2390, 606, 4277, 4729, 6335, 602, 594, 1175, 1185, 547, 2671, 780, 7069, 1390, 3766, 805, 22516, 267, 7247, 649, 3513, 1289, 26744, 9652, 267, 729, 606, 2038, 6460, 547, 519, 700, 9169, 5939, 543, 835, 540, 5696, 662, 600, 8479, 781, 10121, 13794, 269, 1261, 2451, 3297, 3875, 13746, 24223, 1010, 2833, 607, 513, 22082, 543, 1010, 4205, 609, 5939, 3401, 269, 2755, 2542, 998, 891, 5638, 267, 594, 4362, 606, 7127, 1141, 1250, 22660, 20402, 5696, 662, 600, 8479, 827, 519, 1360, 1482, 3390, 1107, 519, 17913, 11856, 543, 11454, 7333, 780, 2080, 781, 606, 21626, 689, 26744, 9652, 781, 4760, 18584, 4864, 476, 1789, 267, 476, 5908, 274, 1384, 257, 9213, 267, 594, 10356, 2614, 10100, 547, 1935, 5518, 8479, 543, 2307, 1864, 827, 519, 32422, 4478, 519, 24677, 540, 17913, 11856, 3921, 1588, 547, 938, 4563, 14552, 543, 19946, 269, 594, 6829, 1250, 6161, 602, 971, 513, 3609, 1522, 979, 1996, 519, 10752, 540, 13784, 543, 7862, 602, 594, 6956, 547, 581, 3844, 547, 519, 22258, 5048, 780, 27778, 662, 600, 19557, 32348, 543, 1287, 3838, 1010, 4555, 269, 1677, 1250, 9983, 267, 646, 17019, 602, 519, 3609, 1705, 8197, 3100, 24407, 855, 6045, 602, 1978, 6381, 2838, 922, 6388, 269, 1717, 267, 646, 21407, 803, 602, 519, 7083, 1131, 5555, 7866, 519, 4128, 3297, 621, 543, 1683, 513, 6571, 3010, 296, 7948, 1405, 3494, 1018, 594, 729, 2542, 256, 3733, 1378, 22660, 546, 1563, 547, 2243, 5696, 662, 600, 8479, 827, 835, 540, 519, 1034, 1543, 1190, 2152, 538, 700, 9169, 1686, 267, 543, 646, 4607, 513, 15826, 3210, 2864, 982, 18149, 31766, 269, 898, 1500, 803, 4898, 2436, 824, 2818, 849, 6659, 741, 9739, 1996, 519, 3609, 1282, 8479, 781, 26022, 780, 8170, 1576, 267, 713, 3085, 1405, 32135, 519, 1249, 602, 519, 7333, 30174, 585, 811, 982, 513, 2540, 267, 4929, 10373, 1928, 543, 7092, 585, 9118, 2043, 269, 1809, 1565, 827, 1250, 1390, 3766, 805, 22516, 781, 7237, 5795, 803, 4126, 1107, 4126, 602, 1256, 9624, 15784, 543, 6498, 267, 1367, 6411, 540, 8296, 543, 1620, 666, 1118, 513, 3017, 269, 1656, 945, 6487, 286, 9320, 1346, 1507, 3604, 616, 4010, 1018, 2482, 519, 24536, 585, 1689, 780, 1607, 6602, 814, 6273, 803, 547, 3136, 3695, 14758, 8153, 2984, 1369, 3909, 12583, 267, 2523, 950, 789, 4125, 4101, 32618, 4978, 543, 5389, 269, 1635, 4687, 891, 6386, 267, 649, 3565, 547, 2870, 5624, 1141, 1930, 7391, 827, 2352, 3584, 1831, 2009, 267, 5807, 2208, 543, 7067, 2059, 519, 1259, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 2108, 310, 699, 972, 1022, 8037, 13685, 610, 27900, 1644, 547, 5198, 543, 7292, 5610, 1282, 5696, 662, 600, 8479, 781, 5718, 602, 646, 13948, 9619, 888, 8133, 267, 972, 941, 8037, 13685, 543, 27900, 1644, 547, 5198, 543, 7292, 5610, 1282, 5696, 662, 600, 8479, 781, 5718, 602, 646, 13948, 9619, 269, 2290, 540, 519, 1034, 1713, 729, 1010, 3609, 540, 27195, 4563, 2043, 689, 17913, 11856, 543, 11454, 3921, 514, 1734, 780, 1103, 476, 6977, 273, 267, 8479, 9307, 519, 17913, 11856, 543, 11454, 7333, 267, 799, 19275, 4563, 2043, 689, 8391, 519, 17913, 11856, 610, 10283, 538, 11454, 3921, 514, 1734, 269, 901, 3609, 7283, 538, 1747, 585, 936, 513, 2540, 2394, 621, 729, 24850, 538, 476, 3192, 279, 780, 4407, 8479, 568, 20295, 609, 1128, 23082, 519, 7333, 267, 621, 568, 711, 7357, 2312, 875, 1454, 646, 13948, 5156, 538, 621, 269, 2368, 12206, 1179, 3634, 602, 8479, 949, 723, 1044, 6766, 676, 17888, 22457, 8456, 538, 2486, 693, 519, 942, 610, 676, 4145, 936, 2797, 2604, 689, 519, 5313, 2229, 936, 519, 2259, 540, 12683, 7365, 780, 8802, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 6637, 476, 1626, 281, 9861, 513, 27259, 1323, 15589, 328, 6048, 1107, 29955, 12292, 12619, 1290, 3228, 2406, 4438, 17889, 692, 5331, 952, 3425, 1223, 979, 998, 23361, 1510, 1373, 2322, 547, 3207, 256, 2334, 1131, 581, 1360, 11213, 543, 17559, 267, 1318, 286, 634, 1482, 4422, 585, 938, 24566, 2828, 899, 7314, 543, 5243, 269, 1879, 789, 991, 6391, 267, 1175, 899, 721, 267, 789, 991, 547, 581, 2322, 883, 513, 2620, 3207, 865, 602, 789, 1810, 1405, 1745, 1022, 1928, 1282, 741, 5106, 269, 901, 568, 1141, 606, 15589, 328, 5505, 2097, 538, 267, 855, 3079, 540, 2324, 609, 1004, 267, 891, 2027, 7189, 960, 14311, 609, 2831, 2439, 25603, 2494, 3241, 9410, 6363, 331, 2803, 267, 513, 3810, 8036, 18915, 606, 15589, 328, 6048, 945, 1568, 5097, 609, 1507, 2831, 971, 607, 7314, 543, 5243, 269, 3571, 1292, 5539, 568, 4180, 602, 1142, 3461, 7959, 1100, 9636, 610, 2566, 950, 18460, 2564, 5773, 8506, 6822, 566, 269, 2913, 779, 2263, 875, 646, 22316, 5128, 543, 1010, 2550, 585, 3811, 4238, 780, 6524, 649, 4685, 4514, 267, 1577, 779, 1101, 12172, 930, 2474, 1384, 265, 2878, 2304, 17561, 4995, 589, 1533, 540, 6417, 17499, 1145, 610, 1202, 27383, 547, 1928, 267, 13251, 676, 1978, 6527, 1572, 606, 652, 12060, 269, 1703, 616, 1114, 2010, 540, 23236, 4470, 2390, 519, 5650, 282, 621, 666, 2039, 689, 2199, 1003, 6883, 8069, 4294, 2047, 547, 1560, 2694, 547, 2407, 2489, 23236, 799, 12662, 519, 3003, 1560, 1519, 7244, 6091, 968, 1729, 3207, 3034, 265, 2878, 306, 539, 2510, 4995, 24391, 1031, 547, 9350, 1524, 610, 6001, 606, 3662, 267, 1818, 873, 1447, 14221, 827, 14232, 5574, 269, 20767, 2510, 949, 849, 948, 1852, 7050, 3350, 543, 2569, 2168, 9636, 780, 3086, 1394, 547, 2494, 3241, 779, 1650, 13718, 2414, 1831, 513, 9952, 18915, 606, 15589, 328, 6048, 267, 835, 1590, 2347, 3573, 2069, 543, 2866, 269, 2991, 13844, 1010, 16362, 622, 538, 27259, 6925, 689, 519, 10713, 21059, 9697, 6759, 997, 320, 632, 595, 6759, 6113, 20899, 538, 18335, 267, 2494, 3241, 6591, 1995, 1312, 538, 4357, 2259, 8156, 10130, 543, 3450, 2104, 1654, 1206, 607, 606, 14357, 269, 20876, 1010, 6612, 585, 713, 2361, 267, 646, 22002, 7463, 32031, 2866, 538, 606, 15589, 5735, 693, 26658, 2160, 269, 16270, 12032, 267, 646, 8678, 519, 22644, 539, 5234, 972, 780, 4002, 1022, 2016, 1554, 267, 2494, 3241, 1522, 1683, 23236, 1416, 585, 1585, 7068, 8151, 689, 6539, 29181, 17596, 838, 11691, 547, 9640, 8506, 1950, 9647, 31517, 23361, 269, 6969, 4358, 23236, 267, 646, 5402, 8039, 519, 4620, 781, 2564, 1686, 543, 5077, 338, 609, 519, 3119, 17022, 827, 519, 9709, 10551, 5650, 269, 9122, 593, 713, 1344, 267, 646, 2824, 338, 3617, 5061, 543, 13121, 1137, 585, 1802, 1424, 2922, 543, 2500, 23236, 780, 5629, 3388, 568, 1305, 909, 267, 2494, 3241, 9900, 14721, 8651, 519, 3355, 9570, 540, 6646, 2901, 12499, 1597, 3585, 610, 3842, 32480, 1210, 7463, 3937, 269, 1306, 519, 3075, 3217, 1198, 267, 646, 11179, 21697, 4105, 4191, 971, 607, 2295, 2557, 267, 7929, 11733, 267, 1973, 2604, 267, 2837, 267, 543, 5135, 2157, 269, 1403, 2877, 267, 646, 4188, 338, 606, 20469, 3178, 2429, 519, 6391, 547, 2327, 5021, 3106, 543, 4313, 780, 8070, 1606, 29864, 267, 2494, 3241, 5702, 29167, 936, 1010, 2550, 2394, 789, 4628, 32570, 689, 23236, 269, 1261, 5849, 8766, 2427, 2360, 543, 21314, 2022, 10869, 1928, 3927, 269, 4495, 13854, 602, 519, 4620, 568, 23232, 1134, 267, 646, 31825, 609, 519, 8227, 3823, 1310, 3249, 5528, 543, 1761, 1246, 5346, 20499, 780, 18455, 513, 18915, 606, 15589, 328, 6048, 3340, 10373, 9639, 267, 11428, 267, 543, 2648, 2509, 2831, 269, 3414, 1010, 6791, 267, 2494, 3241, 2337, 9118, 7068, 10929, 2556, 2564, 7459, 1247, 10893, 11605, 543, 21924, 10304, 269, 11569, 267, 3297, 1169, 12347, 13401, 3662, 6391, 6013, 519, 14980, 2943, 2629, 1909, 5129, 676, 6131, 4648, 899, 2494, 3241, 9410, 6363, 331, 2803, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 10048, 3241, 9410, 6363, 331, 2803, 267, 631, 309, 454, 13312, 680, 558, 622, 910, 1977, 5441, 540, 27259, 1323, 17561, 543, 1323, 531, 2471, 807, 454, 10112, 1539, 622, 7905, 267, 8791, 540, 1323, 15589, 5735, 543, 10266, 6925, 454, 28062, 566, 6092, 26064, 910, 13332, 966, 454, 23430, 540, 11916, 7070, 454, 290, 1941, 749, 2160, 5441, 540, 27259, 6925, 454, 280, 1789, 28941, 10003, 267, 13340, 476, 3953, 454, 296, 628, 20403, 267, 12924, 476, 16825, 7871, 454, 19733, 543, 9751, 454, 268, 476, 1220, 275, 910, 476, 1220, 278, 26658, 2160, 267, 1763, 19409, 538, 1323, 15589, 5735, 454, 268, 476, 1220, 273, 10713, 21059, 9697, 565, 3821, 632, 24778, 20899, 267, 18335, 267, 2405, 4815, 16076, 514, 9222, 630, 300, 309, 994, 7804, 269, 9410, 6363, 331, 2803, 4607, 1010, 4387, 622, 538, 18915, 4915, 689, 519, 10713, 21059, 9697, 565, 3821, 632, 24778, 20899, 267, 18335, 267, 538, 476, 1220 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16508, 7939, 22907, 616, 513, 1713, 2460, 540, 17299, 4524, 267, 513, 4049, 2790, 4576, 6353, 676, 3665, 7099, 23638, 602, 1331, 3929, 1164, 338, 630, 2006, 807, 610, 3834, 2674, 807, 264, 543, 1970, 338, 630, 24119, 1833, 1040, 1452, 3929, 7988, 2958, 2827, 666, 723, 513, 7096, 1764, 593, 513, 1268, 781, 2702, 547, 1599, 538, 3232, 1272, 267, 3056, 547, 7965, 538, 2123, 3347, 267, 960, 267, 543, 1153, 269, 769, 713, 3296, 267, 649, 786, 5490, 883, 519, 1523, 540, 3929, 7939, 22907, 538, 17299, 4524, 267, 3695, 922, 4214, 267, 3123, 267, 2589, 267, 4879, 267, 543, 2126, 3681, 269, 1284, 786, 849, 1865, 875, 3929, 7939, 22907, 9305, 547, 1699, 3466, 538, 2618, 31752, 1382, 543, 2709, 1483, 3734, 1806, 547, 9414, 891, 2035, 1732, 780, 2414, 2253, 267, 1577, 721, 5581, 3929, 7939, 269, 16508, 7939, 4016, 547, 519, 3157, 676, 799, 2043, 3310, 741, 1378, 3929, 2833, 543, 7215, 547, 3895, 13261, 8647, 269, 898, 3322, 5464, 267, 10442, 267, 543, 22212, 3929, 6114, 547, 3035, 5551, 3853, 543, 2226, 5626, 1134, 5630, 269, 4658, 609, 17299, 4524, 1419, 1995, 7411, 15725, 741, 4664, 267, 4611, 538, 7050, 610, 20025, 10525, 540, 7553, 1282, 1312, 812, 545, 543, 19591, 14501, 780, 3080, 2009, 2014, 540, 3929, 7939, 22907, 538, 17299, 4524, 568, 17244, 538, 2634, 2497, 543, 1599, 269, 3194, 814, 3254, 602, 1004, 609, 17299, 4524, 723, 3604, 538, 519, 2450, 543, 11852, 3270, 540, 1978, 2634, 4525, 3238, 538, 3929, 4393, 267, 971, 607, 519, 993, 17789, 323, 8403, 267, 28481, 25283, 267, 543, 4776, 30613, 16794, 269, 3958, 267, 20817, 538, 32239, 1949, 267, 1519, 22515, 267, 562, 648, 18090, 31058, 267, 543, 22006, 267, 949, 3565, 547, 3929, 7988, 28832, 538, 17299, 4524, 269, 18726, 2188, 849, 1404, 513, 1909, 267, 607, 17299, 4524, 11148, 547, 2196, 538, 3885, 267, 11021, 513, 2178, 4719, 5057, 269, 1717, 267, 2825, 2188, 267, 971, 607, 2566, 543, 8194, 267, 666, 2170, 609, 11976, 547, 2333, 519, 1981, 540, 3384, 17299, 4524, 543, 22652, 3929, 7939, 22907, 780, 21618, 540, 3929, 7939, 22907, 538, 17299, 4524, 666, 4268, 4470, 593, 519, 5123, 540, 519, 4576, 269, 4438, 812, 545, 14501, 267, 2043, 949, 8858, 791, 6160, 2032, 267, 29338, 267, 14699, 267, 543, 22672, 1652, 2623, 267, 1247, 1282, 19591, 14501, 267, 789, 949, 1995, 18354, 267, 27945, 1145, 267, 4160, 267, 543, 4606, 540, 4502, 16531, 269, 5047, 267, 1256, 1282, 5712, 540, 552, 583, 1506, 8926, 630, 560, 762, 7099, 1070, 2043, 609, 17299, 4524, 949, 1869, 6560, 609, 3929, 7939, 267, 6029, 2799, 8417, 547, 2942, 3929, 15128, 543, 4389, 2702, 547, 9156, 689, 14156, 4101, 3871, 269, 901, 10770, 3929, 13438, 666, 1291, 547, 5571, 6198, 15717, 543, 2799, 1981, 540, 26739, 780, 10112, 20156, 540, 3929, 7939, 22907, 538, 17299, 4524, 3335, 3322, 513, 4999, 540, 4791, 11042, 267, 1582, 3146, 1636, 3800, 267, 543, 6662, 4255, 269, 7885, 5974, 949, 946, 11295, 10368, 11042, 267, 971, 607, 519, 13419, 3293, 11916, 19877, 585, 32663, 268, 276, 630, 17092, 2839, 1070, 547, 2708, 585, 519, 4527, 540, 17299, 4524, 543, 824, 17867, 2175, 269, 8682, 3146, 1636, 3800, 267, 971, 607, 519, 5262, 2159, 625, 538, 32313, 19938, 17361, 630, 291, 8991, 1070, 666, 1683, 1344, 827, 1808, 3344, 540, 3929, 7939, 267, 971, 607, 1875, 23100, 766, 540, 3929, 6114, 267, 3668, 540, 3929, 4656, 267, 543, 3908, 1569, 547, 7553, 7939, 2994, 269, 20638, 4255, 267, 971, 607, 12214, 3800, 540, 3929, 2746, 2032, 543, 6051, 267, 666, 948, 2697, 5817, 8849, 6127, 2404, 609, 3929, 7939, 22907, 780, 21675, 585, 3929, 7939, 22907, 538, 17299, 4524, 3622, 5161, 540, 14278, 8839, 267, 28400, 25531, 267, 543, 21911, 269, 5709, 725, 1031, 547, 1521, 17299, 4524, 267, 971, 607, 7099, 11689, 9088, 267, 25316, 2134, 18352, 267, 543, 31520, 267, 666, 948, 2569, 7099, 23638, 543, 2087, 3929, 7939, 269, 5369, 334, 25531, 6663, 547, 4001, 2043, 827, 741, 2783, 267, 12153, 267, 543, 2038, 9963, 4191, 540, 26739, 267, 16779, 873, 547, 4383, 741, 4576, 811, 3927, 269, 5369, 6139, 8427, 4485, 267, 971, 607, 5042, 15515, 24173, 3797, 630, 30274, 1070, 13172, 673, 2623, 3797, 630, 291, 6630, 1070, 543, 11009, 2861, 11257, 267, 666, 948, 2043, 1020, 1983, 543, 2994, 585, 5883, 741, 4664, 543, 5355, 2949, 5626, 1134, 5630, 780, 13146, 1382, 814, 12006, 519, 2956, 540, 5466, 3929, 7939, 22907, 538, 519, 2126, 540, 17299, 4524, 269, 1280, 1383, 267, 513, 476, 1001, 280, 1353, 3370, 538, 519, 4750, 540, 589, 8997, 15136, 1336, 602, 2362, 2157, 540, 3929, 7988, 28832, 941, 2404, 609, 3152, 10835, 10335, 543, 8338, 2298, 540, 1272, 538, 2550, 609, 17299, 4524, 269, 6271, 1353, 3370, 538, 519, 1482, 4760, 538, 476, 1708, 271, 4080, 602, 667, 6630, 1983, 2866, 4824, 3929, 7939, 543, 4389, 4965, 543, 4160, 2589, 538, 2043, 609, 17299, 4524, 269, 1452, 4681, 20838, 519, 991, 585, 7471, 2126, 4485, 602, 3077, 1312, 28146, 2589, 543, 3929, 7939, 22907, 538, 17299, 4524, 780, 1103, 3932, 267, 3929, 7939, 22907, 616, 513, 2565, 2460, 540, 17299, 4524, 267, 7700, 547, 15176, 8647, 543, 2799, 1981, 540, 26739, 269, 4197, 519, 5817, 3123, 543, 6127, 540, 3929, 7988, 28832, 666, 1217, 811, 2500, 2126, 4485, 267, 6038, 5355, 4093, 585, 2043, 609, 17299, 4524, 269, 1635, 10128, 14278, 1670, 267, 28400, 14445, 1049, 267, 543, 2618, 6139, 8427, 7459, 267, 19353, 666, 948, 2043, 609, 17299, 4524, 1020, 519, 2556, 1983, 543, 2994, 547, 4383, 741, 4664, 543, 3986, 741, 2298, 540, 1272, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4596, 294, 25712, 20937, 22558, 5183, 7644, 16774, 5442, 645, 7709, 5357, 2752, 13698, 2316, 19006, 1107, 589, 11555, 26177, 674, 8016, 4785, 3633, 10396, 23414, 7728, 17252, 308, 4629, 4916, 21062, 12471, 13965, 6789, 306, 8577, 16774, 5442, 645, 7709, 5357, 2752, 20591, 16704, 2207, 454, 2750, 626, 26324, 798, 557, 17844, 2655, 534, 388, 505, 658, 324, 1416, 3997, 388, 505, 514, 524, 26324, 30775, 388, 505, 542, 19327, 5778, 1186, 8811, 11043, 26324, 1609, 324, 14016, 520, 26324, 3288, 967, 643, 714, 4512, 24140, 32482, 321, 3120, 516, 17299, 26324, 269, 5589, 675, 333, 388, 505, 320, 8398, 1933, 601, 528, 632, 812, 773, 476, 388, 503, 328, 1315, 10487, 1244, 637, 773, 1609, 324, 522, 1286, 1461, 2065, 26324, 513, 32482, 10767, 26324, 686, 328, 513, 2739, 633, 536, 760, 565, 732, 476, 388, 503, 328, 31785, 26324, 24140, 1685, 534, 388, 505, 320, 5778, 322, 1758, 527, 643, 26324, 269, 623, 659, 1329, 388, 505, 4512, 536, 760, 565, 926, 267, 964, 324, 9461, 647, 2536, 26324, 513, 2739, 732, 26256, 527, 643, 26324, 3181, 4106, 656, 26324, 3331, 362, 333, 546, 11717, 924, 548, 535, 10270, 513, 548, 10240, 4512, 267, 1416, 6414, 26324, 476, 388, 503, 328, 7188, 3712, 334, 632, 1121, 27599, 2317, 320, 1138, 9154, 601, 528, 513, 2739, 633, 476, 388, 503, 328, 1416, 3331, 362, 333, 4626, 335, 592, 8398, 1933, 601, 528, 8650, 1609, 324, 4086, 8494, 26324, 3331, 362, 333, 1812, 10028, 24140, 2781, 320, 7188, 11634, 714, 1993, 1066, 773, 269, 10159, 340, 19327, 30775, 388, 505, 542, 26324, 686, 328, 5042, 3331, 362, 333, 4626, 335, 592, 552, 583, 574, 773, 328, 32482, 10767, 26324, 686, 328, 536, 760, 565, 732, 3492, 516, 1794, 26324, 693, 523, 388, 505, 807, 890, 3669, 544, 2967, 632, 546, 584, 520, 26324, 6232, 924, 5042, 267, 1416, 647, 660, 683, 8882, 1663, 523, 388, 505, 622, 632, 1138, 9154, 520, 860, 807, 1035, 583, 26324, 269, 3600, 652, 324, 6232, 924, 5042, 647, 660, 544, 2967, 964, 3331, 362, 660, 5889, 15238, 924, 3288, 10240, 333, 822, 4512, 24140, 522, 4447, 340, 388, 505, 773, 544, 2967, 1812, 26324, 513, 10240, 4512, 267, 2512, 520, 26324, 632, 546, 584, 1092, 544, 2967, 5761, 26324, 513, 1138, 9154, 601, 528, 513, 2739, 633, 267, 632, 26813, 592, 3288, 642, 5889, 337, 560, 320, 512, 5889, 333, 541, 26324, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10387, 10899, 19938, 4347, 545, 1080, 257, 607, 851, 540, 834, 25787, 1315, 5369, 31752, 1315, 645, 13633, 13081, 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, 17345, 5149, 281, 4197, 3487, 819, 9085, 998, 9031, 328, 11470, 692, 9213, 267, 649, 786, 7832, 593, 606, 3078, 3460, 883, 519, 1158, 540, 3332, 689, 9031, 267, 4481, 2519, 593, 2984, 827, 15652, 269, 1809, 1018, 1281, 834, 4820, 819, 257, 1611, 286, 4270, 267, 621, 4016, 547, 519, 6498, 540, 3127, 883, 1079, 5094, 2477, 910, 3127, 543, 9031, 910, 602, 5949, 538, 476, 3707, 278, 950, 6628, 2451, 922, 12733, 267, 3127, 269, 901, 2680, 1185, 513, 7096, 1764, 593, 1004, 2713, 972, 267, 2523, 1346, 945, 941, 10393, 9674, 689, 741, 3885, 543, 2828, 1317, 789, 1631, 5030, 538, 1114, 2477, 780, 3086, 267, 1577, 721, 2263, 930, 14070, 2984, 2854, 676, 4589, 689, 9031, 602, 7001, 519, 9759, 540, 713, 3140, 4090, 269, 1452, 2984, 948, 721, 1174, 519, 4664, 267, 4555, 267, 543, 2833, 540, 1004, 1282, 713, 942, 269, 1635, 2542, 891, 1568, 267, 649, 666, 1900, 883, 2576, 3116, 781, 10887, 543, 1451, 3407, 4245, 827, 1620, 1142, 824, 5103, 938, 3604, 780, 3080, 971, 1650, 2501, 689, 31670, 592, 5917, 8643, 267, 945, 5206, 513, 4015, 1572, 834, 301, 697, 12267, 1701, 5994, 9361, 896, 519, 6801, 693, 3781, 1247, 6947, 547, 8941, 4904, 609, 7326, 543, 5813, 269, 2334, 781, 4010, 1018, 31670, 592, 814, 2944, 538, 1010, 1433, 256, 1261, 8843, 9159, 6386, 6273, 676, 1483, 2621, 267, 4543, 721, 9787, 519, 10848, 4478, 15652, 780, 1103, 835, 1880, 9661, 267, 31670, 592, 6645, 721, 827, 1079, 8695, 3957, 24497, 328, 543, 670, 28045, 269, 4634, 1498, 789, 2661, 1175, 2066, 519, 8473, 689, 1142, 824, 267, 789, 4866, 547, 1114, 10764, 543, 3112, 1294, 1142, 824, 15042, 269, 6736, 1373, 865, 2673, 32321, 267, 789, 1831, 11397, 1813, 547, 2797, 3664, 1500, 676, 4079, 269, 3414, 741, 11505, 267, 649, 3605, 875, 17062, 10665, 666, 1860, 3347, 543, 1711, 21390, 1851, 2950, 780, 5194, 1271, 2856, 8268, 538, 15652, 3332, 568, 3961, 269, 1879, 5185, 609, 27290, 2242, 899, 15652, 267, 2043, 1419, 2243, 945, 789, 616, 543, 1141, 789, 4866, 269, 1280, 3236, 267, 1491, 589, 13433, 3873, 267, 513, 8004, 3395, 909, 538, 2022, 12268, 819, 700, 1695, 648, 269, 4173, 1920, 688, 2812, 689, 3127, 267, 855, 1352, 729, 4535, 543, 6659, 538, 9031, 269, 1306, 1352, 9428, 4587, 267, 1352, 12066, 956, 609, 1200, 12242, 6561, 543, 13290, 547, 31363, 1312, 3344, 540, 1200, 2686, 4282, 780, 9961, 891, 2984, 267, 4798, 540, 2648, 267, 2530, 267, 10100, 267, 6043, 267, 543, 19807, 10836, 269, 1358, 7618, 721, 540, 938, 3838, 1480, 1995, 1256, 9624, 4655, 543, 24187, 269, 1284, 8275, 602, 1100, 2339, 875, 1454, 14761, 8044, 936, 11182, 267, 621, 568, 6038, 519, 4948, 1004, 4171, 2729, 1205, 22314, 780, 3528, 2502, 609, 5708, 1759, 593, 3020, 2621, 267, 649, 2744, 1007, 5380, 543, 1020, 6568, 2509, 1866, 269, 1924, 979, 6619, 267, 4584, 909, 513, 1433, 827, 15652, 2221, 267, 543, 23365, 3054, 538, 513, 4241, 1158, 2407, 540, 8903, 3197, 543, 2219, 4538, 3871, 2439, 8855, 267, 1620, 1686, 3085, 1405, 723, 547, 581, 19309, 282, 3006, 267, 18167, 883, 5708, 666, 2709, 17170, 4030, 883, 1483, 3734, 2152, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 301, 697, 12267, 267, 519, 2070, 12713, 613, 2762, 21768, 689, 31670, 592, 5917, 8643, 263, 9049, 322, 16275, 476, 1001, 272, 268, 1321, 264, 568, 1378, 1287, 547, 1362 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 1507, 1373, 267, 945, 649, 786, 3277, 547, 607, 834, 7692, 2437, 1185, 5063, 8452, 593, 513, 1007, 4541, 1572, 3047, 269, 1306, 7585, 3459, 3695, 713, 9490, 1007, 1158, 267, 789, 8068, 602, 1082, 540, 519, 7919, 593, 713, 4541, 8604, 547, 5957, 1114, 2010, 540, 7802, 269, 1452, 3382, 902, 941, 1419, 1500, 540, 2326, 971, 607, 10412, 267, 15144, 267, 610, 10991, 11103, 267, 543, 3357, 538, 1585, 4778, 267, 3270, 267, 543, 6163, 780, 3080, 1554, 267, 1247, 11287, 891, 7068, 267, 7585, 11402, 1079, 3425, 2348, 513, 4901, 827, 7802, 269, 30985, 267, 7585, 14059, 873, 543, 4280, 267, 834, 1432, 568, 519, 3483, 540, 891, 12308, 3382, 902, 12482, 763, 1101, 1480, 15527, 676, 6031, 267, 834, 11039, 267, 3006, 1004, 5957, 9660, 1317, 789, 1683, 4027, 689, 519, 2609, 269, 1280, 1383, 267, 13544, 1115, 666, 1832, 721, 3636, 1282, 4411, 4365, 267, 543, 22970, 666, 13104, 938, 9843, 689, 519, 3141, 3010, 257, 19950, 532, 10590, 608, 13094, 7585, 269, 834, 3719, 594, 1294, 602, 1256, 950, 519, 2916, 4667, 16990, 267, 3425, 1869, 19799, 2933, 538, 891, 23157, 269, 1772, 972, 1776, 2601, 3297, 713, 2259, 12482, 763, 2034, 1480, 20493, 543, 1767, 267, 834, 8133, 256, 22960, 543, 1582, 22325, 1404, 1713, 5107, 1932, 269, 1284, 2972, 8939, 543, 9256, 3688, 1759, 593, 2681, 267, 4806, 267, 9403, 267, 543, 3623, 17924, 8291, 547, 1711, 2189, 5654, 602, 2992, 938, 23141, 543, 3961, 269, 3958, 267, 7802, 949, 24901, 1514, 4567, 267, 2686, 4282, 267, 610, 23909, 3010, 30999, 1575, 725, 286, 2271, 29098, 267, 7585, 20402, 2417, 267, 834, 8923, 14969, 593, 713, 1523, 540, 1412, 21232, 725, 9538, 5016, 763, 1101, 1480, 6045, 267, 834, 26807, 6009, 2154, 1808, 30933, 1813, 547, 10342, 267, 3106, 6042, 267, 610, 3318, 5920, 4441, 269, 901, 7833, 640, 2636, 2043, 547, 3533, 5431, 1142, 824, 781, 22825, 543, 2226, 1931, 1369, 2486, 3010, 2414, 6542, 267, 1352, 11329, 2509, 513, 1268, 9849, 513, 4544, 28459, 609, 15649, 543, 21743, 3983, 2471, 269, 634, 4137, 849, 5645, 513, 1804, 9126, 1793, 2426, 2066, 835, 13105, 269, 834, 6546, 1268, 936, 972, 568, 513, 7128, 11464, 269, 4256, 7833, 6920, 741, 1909, 607, 2576, 3743, 585, 4509, 4708, 543, 30191, 4031, 3010, 9202, 267, 789, 9859, 7585, 781, 3007, 4724, 606, 1367, 21039, 538, 513, 3043, 10359, 609, 513, 588, 996, 24005, 1472, 741, 8405, 269, 834, 1607, 1268, 568, 513, 4387, 269, 1358, 5957, 513, 2978, 10359, 547, 2149, 741, 2834, 7802, 543, 5365, 741, 6791, 538, 2564, 1416, 3010, 7661, 267, 789, 4951, 7585, 513, 1895, 540, 4600, 804, 611, 538, 10538, 642, 3949, 267, 31238, 267, 543, 8825, 2363, 1168, 792, 269, 834, 4322, 2043, 960, 538, 4070, 269, 4256, 29116, 11954, 7802, 5849, 15287, 593, 11112, 2816, 4609, 543, 25887, 1780, 619, 2421, 547, 1761, 10898, 2404, 609, 5230, 12227, 5106, 3010, 2026, 7585, 4797, 547, 7747, 8103, 267, 789, 6591, 513, 4514, 7071, 585, 519, 10848, 4478, 7802, 5079, 269, 3245, 11589, 7209, 7592, 547, 3954, 7627, 3318, 28930, 725, 267, 23157, 6039, 3875, 3252, 3564, 6071, 16566, 269, 2060, 942, 267, 5310, 7585, 1131, 1020, 922, 1378, 2631, 540, 521, 691, 3645, 1166, 1515, 29932, 6148, 1256, 9772, 606, 13567, 8506, 513, 10058, 7833, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5649, 24028, 903, 630, 3528, 8191, 994, 272, 269, 1879, 798, 596, 1745, 693, 707, 1034, 10694, 888, 15290, 708, 9849, 9067, 22496, 269, 950, 1250, 27897, 5642, 568, 6534, 563, 273, 269, 1684, 596, 5469, 2021, 593, 519, 8265, 286, 1403, 865, 267, 1018, 4990, 540, 2021, 798, 596, 4043, 547, 5469, 610, 23507, 888, 1873, 1678, 344, 2021, 269, 12357, 2021, 269, 28031, 5652, 2021, 269, 25314, 520, 3481, 2021, 563, 274, 269, 1548, 616, 930, 1919, 596, 23507, 827, 875, 824, 2021, 1459, 2933, 888, 2102, 9334, 2123, 15312, 269, 873, 539, 856, 22327, 563, 275, 269, 12984, 972, 513, 4090, 538, 707, 1272, 950, 1945, 968, 743, 17673, 892, 585, 596, 827, 6752, 610, 19703, 610, 1118, 5346, 610, 4552, 286, 1548, 286, 4208, 1705, 621, 4755, 1287, 267, 798, 596, 1589, 888, 520, 519, 1439, 540, 1164, 1153, 950, 1775, 11074, 3843, 547, 581, 513, 1978, 2511, 543, 1175, 20595, 8726, 1775, 17329, 563, 276, 269, 1548, 616, 930, 10918, 3652, 596, 9327, 1406, 8209, 4363, 547, 1866, 855, 799, 596, 1246, 888, 277, 269, 1548, 616, 930, 3652, 827, 19703, 596, 1246, 267, 855, 596, 9327, 1405, 8209, 4363, 547, 1866, 888, 278, 269, 1548, 568, 519, 1034, 13710, 6643, 596, 723, 2479, 1185, 593, 519, 1641, 540, 6752, 610, 2511, 888, 339, 22736, 547, 1250, 2828, 827, 18222, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 1849, 5847, 1299, 667, 816, 1315, 27706, 31538, 338, 267, 547, 606, 9813, 3957, 7585, 602, 1175, 15354, 593, 3618, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 606, 9813, 609, 1100, 1702, 827, 3618, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 3848, 7170, 281, 4197, 11576, 800, 16949, 15136, 692, 8893, 20638, 281, 1635, 519, 1439, 540, 713, 3992, 267, 596, 786, 581, 2111, 547, 2491, 1018, 10444, 5610, 4713, 616, 267, 875, 789, 1860, 1453, 781, 3232, 2729, 267, 543, 2081, 649, 666, 1489, 1346, 609, 891, 2591, 780, 4089, 476, 272, 281, 1548, 3657, 11576, 800, 16949, 15136, 2496, 5331, 6972, 883, 513, 4055, 2407, 540, 31148, 269, 2368, 1004, 1522, 1745, 9599, 543, 1376, 1402, 4771, 873, 267, 1247, 1866, 1223, 1831, 14221, 543, 1616, 547, 4734, 5612, 269, 3767, 1589, 827, 1946, 1114, 1004, 2746, 8335, 910, 835, 2009, 2601, 568, 875, 938, 12058, 1184, 10444, 1344, 2439, 5978, 2634, 3217, 538, 1344, 998, 938, 12823, 630, 339, 13224, 267, 6492, 267, 9329, 267, 8289, 267, 6217, 264, 543, 1287, 1418, 3278, 621, 865, 649, 666, 1174, 543, 4431, 14013, 269, 1879, 2576, 814, 513, 10444, 5610, 4524, 267, 849, 1634, 607, 10444, 4393, 2152, 267, 741, 2634, 9620, 547, 798, 713, 3927, 269, 1306, 513, 1267, 267, 4948, 2833, 899, 10978, 21089, 267, 6505, 8279, 267, 610, 1256, 1978, 7802, 2326, 666, 2014, 11605, 610, 10539, 780, 4089, 476, 273, 281, 20876, 20050, 540, 11576, 800, 14409, 12694, 692, 2080, 616, 930, 4191, 602, 1522, 5815, 707, 3659, 610, 1362, 22940, 814, 7411, 10128, 10444, 3403, 1384, 265, 3683, 569, 6213, 547, 5905, 267, 4992, 267, 24462, 267, 16919, 267, 610, 24738, 454, 265, 31418, 1176, 26531, 676, 4282, 6846, 610, 3350, 454, 265, 1133, 17141, 1164, 10892, 585, 1928, 454, 265, 21824, 995, 540, 2238, 602, 2154, 3666, 610, 11558, 630, 3697, 16246, 19209, 3937, 994, 265, 30975, 28006, 1063, 4247, 610, 5054, 454, 265, 4790, 14688, 5275, 14242, 998, 535, 573, 1326, 532, 610, 7050, 6158, 692, 8855, 267, 952, 596, 5469, 891, 2589, 538, 3054, 610, 513, 9263, 267, 972, 568, 4986, 547, 581, 11849, 3139, 540, 256, 3509, 3214, 1995, 10444, 5610, 7965, 267, 543, 948, 568, 2139, 780, 4089, 476, 274, 281, 25417, 14886, 2060, 11576, 800, 14409, 12983, 692, 2467, 616, 1082, 2994, 547, 948, 2828, 609, 10444, 5610, 4713, 6330, 741, 1554, 811, 20354, 1384, 272, 269, 8073, 513, 9602, 2230, 281, 20644, 513, 11280, 1858, 1863, 689, 19240, 950, 2324, 1927, 593, 3785, 610, 10467, 563, 273, 269, 2422, 3308, 10291, 281, 13068, 5528, 1210, 5961, 267, 17267, 267, 610, 2854, 1913, 666, 2569, 4160, 3361, 676, 11913, 2792, 563, 274, 269, 14190, 3063, 942, 281, 2142, 3461, 1282, 13289, 543, 1683, 15792, 9963, 1354, 2242, 2049, 563, 275, 269, 11559, 2620, 2604, 2238, 281, 13379, 539, 29198, 267, 28077, 2831, 267, 610, 9354, 17678, 666, 2709, 22196, 2360, 563, 276, 269, 32754, 1582, 30625, 1983, 281, 17546, 7244, 5751, 267, 11009, 2553, 267, 610, 824, 2409, 547, 4383, 2566, 543, 11566, 3871, 780, 3528, 1620, 543, 5885, 1142, 824, 781, 2189, 2115, 267, 1169, 1126, 666, 8853, 538, 741, 1565, 1604, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 729, 519, 3210, 689, 519, 10370, 526, 1446, 3427, 3237, 547, 519, 19479, 15360, 888, 29261, 685, 15863, 547, 654, 597, 1537, 7027, 13693, 566, 11657, 593, 519, 1849, 3837, 540, 634, 10370, 526, 1446, 3427, 454, 1626, 628, 4873, 476, 1001, 275, 454, 2171, 2307, 602, 519, 16410, 6839, 1491, 519, 1739, 883, 7156, 607, 513, 3210, 547, 519, 13693, 566, 11657, 593, 519, 1849, 3837, 540, 10370, 526, 1446, 3427, 267, 1934, 12898, 5219, 547, 607, 2048, 1492, 13693, 566, 11657, 9957, 898, 568, 513, 6041, 540, 519, 5784, 540, 519, 3237, 540, 519, 1453, 693, 10370, 526, 1446, 267, 2016, 602, 519, 1453, 3112, 4431, 538, 741, 1378, 1318, 563, 8072, 14187, 2533, 616, 1367, 2213, 543, 1268, 7266, 1042, 269, 6153, 2533, 1521, 519, 1920, 607, 4966, 20371, 26244, 2358, 3776, 590, 2074, 272, 454, 8072, 310, 597, 1537, 786, 581, 513, 1747, 1141, 519, 7925, 616, 2922, 543, 6870, 2507, 907, 663, 1141, 1434, 1072, 543, 606, 5140, 2298, 540, 1272, 568, 1369, 519, 3914, 540, 3025, 945, 2729, 1934, 20371, 310, 597, 1537, 16907, 965, 7027, 23654, 4643, 476, 1001, 275, 1107, 476, 1001, 7830, 454, 5649, 619, 540, 713, 3210, 267, 949, 1265, 621, 3730, 547, 1224, 654, 597, 1537, 15829, 779, 454, 310, 597, 1537, 15829, 779, 2048, 8256, 738, 566, 11657, 1107, 634, 10370, 526, 1446, 3427, 685, 693, 454, 2690, 1022, 679, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 29022, 16949, 15136, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 5753, 781, 2657, 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, 1323, 22410, 883, 519, 2920, 540, 19097, 1143, 4698, 5367, 676, 2296, 543, 1977, 19097, 1235, 6969, 476, 13932, 272, 692, 7072, 912, 763, 957, 540, 29080, 568, 513, 4909, 2460, 540, 4168, 2259, 602, 814, 1044, 14648, 543, 5340, 8335, 2066, 1585, 29559, 2429, 1686, 269, 901, 1576, 1770, 12538, 883, 519, 3140, 2796, 543, 1646, 540, 29080, 531, 2853, 1851, 2296, 543, 1977, 19097, 1235, 1354, 476, 13932, 272, 269, 1284, 786, 2263, 519, 4978, 543, 27900, 4478, 29080, 1282, 519, 26746, 5736, 543, 4983, 3119, 2959, 2854, 676, 7986, 23837, 5515, 540, 519, 942, 269, 3414, 713, 7634, 267, 649, 2832, 547, 2744, 513, 4514, 7071, 585, 519, 6988, 540, 4168, 2245, 543, 922, 1764, 593, 4207, 9840, 3823, 3909, 5191, 267, 3235, 18210, 673, 1894, 267, 543, 11705, 337, 1400, 7664, 780, 272, 269, 8466, 12745, 540, 19097, 1143, 4438, 519, 26746, 16527, 912, 7628, 519, 26746, 1974, 630, 1626, 628, 2540, 1070, 3864, 10271, 8179, 547, 6963, 741, 13039, 543, 4161, 3964, 5389, 269, 7324, 891, 2591, 729, 519, 2243, 540, 1697, 29080, 531, 2259, 269, 2755, 1034, 17557, 2516, 7608, 10867, 29080, 267, 930, 9097, 6963, 619, 3459, 14957, 585, 2937, 1825, 591, 781, 29080, 1152, 269, 1452, 2043, 2968, 1634, 607, 1323, 629, 2194, 1235, 267, 2495, 1412, 516, 1532, 2194, 9088, 9538, 4256, 1202, 14571, 2390, 556, 1532, 2194, 1944, 4079, 945, 1185, 2907, 4607, 10867, 29080, 3366, 547, 7839, 20655, 1996, 873, 269, 769, 4789, 543, 3013, 267, 2705, 267, 1808, 2175, 4847, 585, 3152, 10343, 540, 23837, 2093, 780, 273, 269, 9622, 10885, 540, 19097, 1235, 538, 4789, 543, 3013, 912, 12626, 9484, 541, 520, 1235, 267, 5275, 7115, 689, 519, 5783, 540, 4789, 267, 32164, 3603, 547, 26652, 538, 3406, 540, 3909, 15698, 269, 1703, 789, 11402, 631, 3317, 517, 2572, 543, 824 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 741, 5321, 269, 11483, 11675, 5885, 2021, 779, 2924, 941, 6098, 543, 13529, 6167, 5234, 941, 3771, 21724, 543, 19531, 730, 563, 2704, 2819, 9118, 1480, 2924, 9718, 619, 267, 20859, 267, 17864, 267, 5159, 543, 19174, 723, 1044, 12219, 267, 11737, 337, 3320, 1033, 7134, 267, 29041, 543, 32043, 11474, 282, 1896, 723, 1044, 8929, 4666, 269, 7324, 1346, 705, 2265, 539, 543, 2663, 1336, 4666, 729, 4807, 1480, 2924, 1219, 2658, 31530, 345, 534, 6380, 328, 269, 2667, 817, 3990, 20859, 3769, 8621, 573, 31608, 15223, 662, 8643, 267, 513, 7641, 27680, 7166, 676, 513, 6419, 10514, 7923, 547, 1010, 1286, 563, 2710, 17899, 540, 5449, 7980, 543, 7128, 10492, 1107, 811, 982, 476, 1911, 607, 540, 3735, 5437, 267, 2687, 547, 513, 5274, 7126, 13772, 1867, 1107, 723, 1044, 14805, 3320, 13401, 269, 1703, 723, 1044, 6098, 6146, 902, 540, 824, 5449, 2229, 5520, 267, 3226, 2021, 563, 20225, 26147, 543, 21376, 454, 288, 3923, 1310, 519, 13669, 28063, 1491, 1478, 267, 1164, 3506, 941, 10288, 547, 556, 13449, 1107, 855, 519, 23318, 1152, 5018, 8695, 269, 1879, 519, 4081, 1032, 8694, 538, 5437, 267, 6690, 685, 6281, 3506, 1185, 2760, 8118, 269, 12729, 2069, 267, 1247, 15868, 267, 7283, 538, 17739, 1043, 585, 6690, 538, 1454, 540, 15787, 269, 3509, 16899, 4769, 1406, 723, 2614, 3506, 543, 3610, 547, 2253, 609, 267, 513, 1966, 2417, 14556, 1881, 676, 4008, 17478, 543, 519, 1249, 602, 5215, 540, 4775, 3610, 19679, 607, 519, 13669, 28063, 4359, 563, 1103, 29581, 663, 543, 918, 663, 1695, 541, 16899, 267, 9945, 556, 641, 2989, 538, 5988, 543, 930, 2021, 941, 4847, 547, 7390, 1362, 267, 4352, 896, 9395, 9993, 267, 14553, 5302, 27935, 543, 609, 513, 10792, 10571, 3009, 269, 13760, 2406, 267, 2016, 891, 25254, 12417, 267, 2338, 941, 1970, 269, 29550, 538, 824, 2127, 7283, 6806, 563, 4407, 693, 519, 3084, 1377, 6690, 685, 6281, 3506, 18423, 6806, 267, 972, 941, 8320, 540, 598, 947, 687, 1373, 5833, 538, 930, 16899, 676, 3610, 543, 21246, 1023, 945, 7858, 7007, 609, 2199, 7400, 13669, 28063, 8128, 563, 307, 531, 28063, 4341, 814, 849, 4547, 513, 32134, 540, 519, 2025, 2259, 540, 2048, 22138, 320, 1064, 327, 685, 1107, 19703, 607, 513, 7911, 1107, 538, 799, 1762, 6690, 616, 3957, 267, 21039, 543, 5701, 607, 8695, 585, 1896, 1296, 267, 3335, 2394, 23648, 267, 1282, 799, 789, 2057, 519, 4247, 3335, 11603, 585, 6690, 543, 666, 3079, 979, 547, 1153, 267, 581, 3544, 593, 741, 1378, 543, 1256, 960, 269, 2755, 713, 2259, 666, 2285, 6690, 519, 5033, 4565, 766, 540, 513, 3339, 1272, 585, 513, 1906, 1296, 267, 519, 22638, 2530, 540, 5191, 16125, 2182, 267, 543, 621, 6038, 25040, 519, 14461, 4008, 15796, 602, 840, 11079, 2021, 689, 1373, 12595, 585, 1018, 789, 616, 563, 2304, 19191, 4244, 602, 1185, 2907, 1044, 17947, 896, 2250, 13669, 28063, 4341, 814, 849, 759, 584, 325, 3166, 281, 930, 3610, 543, 4587, 1053, 723, 3964, 2048, 572, 4038, 3506, 8730, 804, 663, 32347, 569, 3246, 3872, 2238, 585, 6690, 563, 309, 7860, 689, 519, 4395, 1467, 454, 300, 10620, 31608, 24380, 320, 568, 13653, 543, 7022, 540, 6755, 26073, 267, 513, 11483, 302, 6131, 547, 556, 641, 2287, 6806, 3506, 267, 9591, 1007, 3506, 609, 2950, 543, 2199, 8128, 685, 1489, 267, 5885, 2048, 572, 4038, 3506, 8730, 10655, 2835, 543, 4259, 909, 8021, 267, 26084, 19493, 5351, 543, 3872, 2326, 543, 10647, 4656, 268, 24597, 11044, 538, 15787, 563, 7069, 7015, 2311, 320, 31608, 543, 594, 8547, 6755, 26073, 538, 476, 1220, 280, 269, 3776, 4651, 729, 513, 17174, 6205, 267, 543, 1310, 476, 1839, 1296, 540, 960, 543, 5859, 532, 2777, 547, 2777, 547, 3895, 2069, 267, 646, 3964, 513, 1857, 1153, 585, 476, 12010, 1053, 269, 901, 1101, 1153, 729, 3710, 856, 540, 512, 757, 1250, 4651, 3893, 267, 543, 649, 782, 6594, 896, 519, 4054, 269, 769, 476, 1220, 274, 267, 594, 729, 513, 1126, 11504, 1153, 538, 918, 663, 1695, 541, 19435, 267, 3057, 18860, 10588, 269, 594, 729, 538, 519, 8772, 3446, 543, 594, 1869, 3314, 519, 1554, 950, 11439, 17740, 1218, 3357, 543, 14616, 621, 1524, 563, 306, 1460, 2395, 1310, 1250, 1153, 729, 14616, 1524, 267, 17740, 1218, 3357, 883, 1250, 2777, 547, 24633, 1250, 4651, 602, 607, 646, 729, 513, 1139, 7163, 540, 6690, 685, 2069, 649, 941, 711, 10950, 1022, 3476, 269, 1358, 5795, 721, 835, 3018, 547, 979, 269, 1284, 2451, 938, 1753, 543, 938, 8664, 610, 3116, 649, 1131, 723, 1044, 7166, 563, 2171, 2451, 585, 918, 5429, 267, 1141, 649, 4718, 602, 1312, 6690, 543, 8695, 1185, 1569, 547, 2069, 269, 594, 10630, 593, 713, 543, 4956, 547, 1376, 930, 2186, 540, 5859, 269, 594, 6045, 1250, 2856, 547, 1250, 4651, 543, 646, 8815, 547, 2285, 803, 2883, 1489, 585, 1250, 1788, 267, 799, 729, 849, 15210, 547, 1864, 1317, 646, 1185, 513, 1686, 609, 6690, 685, 2069, 7341, 269, 901, 568, 875, 1250, 7015, 543, 594, 8547, 6755, 26073, 538, 476, 1220, 280, 563, 2691, 649, 5859, 609, 6755, 26073, 267, 649, 2951, 1472, 519, 2197, 543, 3643, 782, 13102, 543, 14252, 593, 938, 1259, 269, 1284, 2911, 547, 519, 2199, 1004, 538, 1142, 1858, 543, 649, 3895, 519, 9322, 540, 13529, 2486, 585, 519, 2014, 540, 2069, 269, 898, 568, 2141, 2352, 547, 1376, 713, 6643, 269, 1879, 596, 1101, 1935, 17137, 267, 741, 5114, 666, 581, 1360, 10728, 282, 789, 2285, 721, 2669, 6937, 543, 2161, 789, 786, 6146, 721, 952, 649, 1832, 3257, 1018, 649, 798, 269, 1284, 849, 4309, 17116, 6049, 7125, 689, 7164, 2338, 563, 4913, 267, 594, 1810, 1406, 13948, 1294, 891, 6937, 607, 9465, 269, 1284, 4383, 547, 723, 5215, 540, 17066, 609, 17137, 543, 17174, 3401, 689, 782, 3909, 10080, 945, 1489, 938, 960, 269, 27284, 626, 17740, 1218, 666, 1406, 1852, 938, 960, 543, 789, 666, 1406, 1118, 721, 3247, 563, 2171, 960, 2509, 519, 3804, 540, 556, 641, 2287, 6806, 3506, 269, 769, 476, 1220, 280, 267, 649, 556, 641, 2989, 513, 1153, 538, 513, 2112, 7997, 1858, 602, 1185, 1044, 6806, 585, 3592, 476, 1428, 1296, 269, 2991, 649, 3323, 8757, 856, 547, 13538, 267, 649, 941, 2111, 547, 5859, 2777, 547, 2777, 538, 8498, 1310, 8498, 269, 3683, 942, 267, 649, 941, 2111, 547, 556, 13449, 476, 1911, 3506, 538, 519, 476, 1626, 16899, 540, 15787, 563, 2690, 3236, 267, 2899, 649, 4682, 547, 606, 1858, 799, 1185, 476, 272, 267, 1220, 3885, 543, 711, 513, 2582, 1153, 269, 1284, 3323, 8716, 1004, 676, 4758, 873, 1344, 827, 519, 2956, 540, 2069, 269, 1358, 4718, 875, 1271, 621, 729, 547, 723, 513, 1153, 538, 741, 1858, 269, 6755, 26073, 5555, 3964, 476, 5379, 3506, 538, 713, 5892, 1153, 268, 1652, 1858, 267, 543, 649, 849, 8118, 476, 2412, 1857, 8021, 538, 6552, 2127, 563, 2171, 1616, 547, 1689, 1004, 779, 8186, 543, 1397, 873, 602, 1453, 779, 2924, 267, 2021, 779, 2924, 543, 519, 1318, 547, 2069, 616, 782, 4909, 2924, 269, 1284, 22555, 513, 1433, 21856, 5859, 543, 609, 519, 948, 540, 13529, 1004, 649, 723, 865, 2484, 6394, 476, 22430, 267, 1822, 2835, 269, 1284, 723, 849, 7856, 476, 272, 269, 276, 2929, 6728, 2044, 1570, 20164, 630, 335, 839, 267, 31940, 267, 1153, 321, 4711, 267, 22796, 264, 1851, 13529, 1004, 269, 1284, 3177, 2069, 6703, 585, 476, 8099, 267, 1822, 1453, 282, 476, 5780, 267, 1822, 540, 873, 941, 6690, 563, 1103, 476, 1001, 277, 649, 3323, 609, 476, 1321, 5728, 3506, 269, 1452, 941, 4092, 538, 513, 2112, 7997, 1858, 1141, 972, 941, 1100, 3610, 2139, 269, 1284, 6410, 2069, 547, 519, 8075, 269, 1403, 789, 4718, 649, 1185, 5728, 6690, 685, 3506, 538, 602, 1858, 267, 519, 4108, 1131, 2119, 547, 6146, 938, 3610, 563, 2171, 1631, 723, 476, 3451, 5728, 3506, 538, 519, 30529, 16899, 540, 15787, 269, 1452, 2127, 1185, 1100, 3506, 476, 736, 1296, 3516, 267, 543, 649, 941, 519, 3283, 945, 4547, 2069, 547, 873, 269, 9406, 1631, 267, 476, 276, 267, 1822, 6690, 616, 4974, 1169, 1554, 538, 938, 5728, 3506, 563, 2171, 1589, 540, 6755, 26073, 607, 513, 8115, 281, 649, 616, 513, 8115, 1063, 1004, 543, 2069, 563, 1607, 568, 606, 12995, 1349, 540, 938, 6643, 609, 4223, 328, 31608, 269, 3367, 519, 2407, 5967, 1934, 563, 4910, 2700, 1996, 782, 12918, 454, 26139, 560, 9583, 7543, 12918, 267, 13529, 2021, 723, 1336, 519, 10100, 547, 4339, 1394, 269, 18650, 814, 1044, 4062, 22596, 267, 609, 519, 2338, 3238, 538, 17600, 3335, 8151, 689, 1447, 982, 476, 1015, 547, 1472, 513, 4627, 1004, 267, 855, 1346, 3238, 723, 1044, 29287, 563, 763, 13669, 28063, 779, 3210, 814, 2356, 1044, 1065, 4809, 269, 634, 13669, 28063, 723, 17814, 1486, 22246, 607, 1373, 1651, 1243, 689, 13383, 543, 723, 1419, 6964, 3196, 267, 5275, 547, 15658, 1866, 543, 2061, 20859, 543, 676, 1056, 619, 2083, 2719, 543, 8989, 593, 519, 17600, 547, 8284, 2279, 724, 753, 543, 519, 3544, 1158, 563, 4002, 476, 273, 5181, 267, 513, 1507, 1895, 22415, 1117, 547, 519, 918, 5429, 17294, 779, 5604, 267, 855, 519, 17294, 15189, 547, 2743, 873, 269, 5565, 2395, 2663, 267, 1472, 476, 1911, 2021, 10356, 2673, 547, 519, 16232, 19289, 269, 13669, 28063, 3354, 4229, 17991, 741, 9604, 883, 519, 2011, 547, 2061, 873, 8757, 519, 2679, 267, 1287, 1031, 751, 1173, 553, 543, 10627, 976, 547, 771, 704, 572, 873, 267, 25588, 930, 2021, 563, 2691, 513, 7361, 4775, 1895, 10356, 538, 519, 667, 1662, 16210, 5174, 1105, 328, 1858, 540, 918, 5429, 593, 476, 279, 5181, 267, 693, 2547, 2947, 20859, 941, 18486, 543, 1079, 941, 16094, 29041, 269, 769, 1776, 13889, 4371, 538, 13056, 714, 21171, 2749, 267, 14068, 12112, 3333, 534, 11662, 267, 519, 13669, 28063, 17991, 15833, 538, 519, 2011, 543, 10726, 1896, 1486, 22246, 269, 589, 1507, 1895, 540, 2021, 945, 10356, 547, 13889, 11992, 538, 918, 5429, 729, 3423, 1836, 24797, 267, 607, 941, 2516, 13889, 532, 602, 1482, 1554, 538, 29518, 13453, 543, 28635, 9618, 16899, 563, 4002, 476, 1015, 5181, 267, 519, 13669, 28063, 9307, 513, 7333, 593, 782, 796, 10461, 2213, 17600, 267, 543, 519, 1985, 1554, 789, 10288, 26313, 3549, 547, 6467, 1055, 5985, 6049, 4950, 1569, 538, 930, 2694, 540, 519, 3854, 269, 1809, 8265, 17600, 4797, 7488, 563, 4002, 476, 866, 5181, 267, 513, 1895, 540, 2021, 4371, 513, 14980, 13889, 538, 3210, 547, 606, 23318, 676, 519, 918, 5429, 2749, 2229, 602, 4775, 5520, 1590, 3251, 1753, 8259, 789, 1223, 711, 581, 8719, 676, 513, 812, 269, 1358, 10356, 3544, 519, 22402, 540, 1018, 1031, 547, 581, 519, 6468, 779, 16457, 12080, 267, 4352, 741, 2278, 5314, 7662, 1185, 711, 1044, 11292, 563, 4002, 476, 736, 5181, 267, 476, 1724, 1164, 1153, 1053, 4371, 513, 13889, 538, 513, 10821, 1858, 593, 4173, 520, 779, 856, 12921, 16630, 543, 593, 476, 1789, 5181, 267, 3670, 2021, 689, 519, 2048, 8967, 2632, 10389, 11873, 540, 13529, 6468, 2920, 643, 1235, 685, 10356, 3544, 513, 1164, 1153, 538, 9456, 918, 5429, 547, 3747, 922, 556, 641, 2287, 1354, 1373, 24797, 609, 7784, 13933, 563, 5194, 2021, 779, 13889, 729, 4371, 538, 918, 5429, 593, 476, 272, 5239, 547, 1232, 787, 17181, 689, 2069, 607, 513, 18670, 540, 2596, 1480, 2924, 269, 11088, 593, 476, 2641, 5239, 267, 693, 2547, 476, 736, 2021, 1486, 6479, 3544, 519, 12080, 540, 4065, 267, 1287, 18188, 2509, 519, 12080, 540, 16010, 267, 693, 799, 1448, 789, 941, 3423, 1836, 24797, 269, 2353, 7766, 17600, 4553, 519, 1482, 4806, 269, 2201, 476, 2764, 5412, 267, 1472, 476, 1789, 2021, 22415, 1117, 538, 519, 8998, 540, 918, 5429, 547, 3747, 5126, 585, 7980, 7166, 676, 519, 13669, 28063, 585, 7674, 896, 519, 5449, 2475, 1532, 17977, 12512, 1107, 543, 1586, 267, 1486, 22246, 543, 20859, 7567, 941, 1065, 5962, 563, 763, 1715, 5729, 4547, 1100, 1365, 924, 269, 769, 5130, 476, 1708, 273, 267, 13669, 28063, 7784, 5443, 986, 3660, 519, 5321, 540, 2021, 779, 2924, 15628, 538, 918, 5429, 267, 25588, 543, 10654, 532, 873, 267, 9583, 538, 1427, 531, 2747, 585, 741, 1909, 538, 17600, 269, 7324, 1346, 705, 2265, 539, 941, 2021, 779, 2924, 15628, 3474, 32272, 594, 3630, 29538, 330, 3559, 543, 23111, 3570, 2098, 776, 629, 623, 776, 8643, 269, 17963 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7312, 17316, 516, 10908, 817, 5999, 5775, 26833, 454, 293, 756, 2958, 20199, 630, 10193, 4122, 22275, 539, 547, 607, 4017, 1120, 20199, 610, 4837, 20249, 264, 568, 513, 1570, 1500, 689, 5393, 5386, 26939, 540, 4837, 267, 13859, 593, 20061, 610, 607, 9212, 267, 519, 4017, 2958, 20199, 1319, 1154, 3294, 6585, 1100, 4222, 2394, 621, 568, 22862, 543, 15459, 609, 513, 17923, 12249, 267, 2390, 27955, 267, 519, 22169, 543, 4837, 20249, 1319, 1154, 6125, 547, 1711, 513, 1164, 4222, 543, 5393, 14463, 9096, 563, 763, 22169, 538, 2243, 616, 19775, 568, 2684, 11209, 545, 4874, 6856, 759, 1231, 610, 18869, 15074, 1723, 1846, 267, 799, 616, 1164, 2298, 2472, 2966, 547, 2285, 5140, 4187, 547, 4756, 4365, 2175, 543, 14809, 563, 3041, 302, 15074, 1723, 1846, 849, 1397, 5140, 4187, 547, 29056, 543, 666, 581, 1031, 538, 513, 3376, 2039, 540, 3156, 1519, 6632, 11623, 543, 10792, 3114, 5054, 563, 10468, 690, 601, 18869, 476, 1220, 271, 568, 9516, 676, 519, 32008, 779, 19193, 540, 1744, 6235, 543, 676, 519, 4826, 3194, 7027, 585, 1494, 762, 1216, 3156, 563, 294, 14641, 700, 1456, 7896, 3096, 513, 9168, 4528, 540, 713, 1570, 799, 3568, 513, 18908, 16867, 14589, 1395, 9593, 547, 10018, 513, 28890, 267, 1875, 8214, 344, 9096, 269, 5071, 20487, 616, 2143, 2687, 547, 1367, 3498, 5054, 693, 5077, 3599, 3942, 609, 519, 7817, 1315, 14704, 269, 0, 301, 3036, 310, 17751, 281, 5753, 779, 744, 3387, 644, 338, 2006, 7125, 547, 2539, 13359, 2085, 1496, 322, 2086, 5218, 2639, 763, 5753, 779, 744, 3387, 644, 338, 5443, 585, 16157, 267, 1234, 573, 541, 670, 329, 1069, 2335, 568, 10912, 593, 782, 10457, 585, 519, 18513, 543, 6019, 7027, 12836, 547, 1489, 16715, 519, 2085, 540, 13359, 547, 476, 1626, 563, 2026, 1762, 1004, 616, 2101, 6800, 540, 18513, 543, 10315, 2533, 267, 670, 329, 1069, 2335, 3081, 602, 789, 616, 849, 2199, 4966, 609, 1702, 543, 21941, 602, 4079, 3668, 269, 968, 2026, 513, 22267, 267, 596, 786, 991, 741, 4274, 5796, 952, 596, 1616, 547, 3310, 543, 1628, 1134, 1922, 4233, 532, 25772, 5608, 646, 3081, 563, 3891, 6941, 602, 16715, 519, 13359, 2085, 1131, 5818, 519, 1646, 540, 8664, 543, 6917, 25772, 269, 1306, 971, 267, 8476, 7589, 538, 2199, 1629, 31097, 786, 711, 1152, 4324, 1453, 543, 1762, 1004, 779, 1134, 5630, 267, 855, 786, 849, 1118, 519, 29109, 811, 10694, 585, 1762, 3885, 269, 1323, 3742, 1453, 543, 6107, 3609, 786, 2327, 6422, 2199, 2950, 563, 9213, 267, 519, 3328, 1101, 6066, 28056, 538, 18513, 543, 10315, 14643, 12836, 538, 16157, 568, 476, 736, 1296, 2025, 269, 1306, 513, 1267, 540, 2348, 12836, 1169, 2185, 1296, 267, 543, 1317, 1082, 1762, 1004, 1847, 2476, 689, 519, 29109, 585, 3872, 5301, 267, 1082, 1101, 6066, 17037, 786, 723, 6410, 689, 741, 2199, 5054, 693, 519, 942, 540, 9550, 563, 4263, 713, 1448, 267, 1082, 1100, 3476, 723, 1101, 1688, 2833, 609, 19679, 326, 1782, 1153, 5656, 267, 519, 3668, 540, 1697, 17919, 10092, 267, 14656, 540, 6107, 15731, 543, 513, 4057, 1668, 2533, 269, 968, 2252, 649, 2285, 476, 1626, 1032, 31545, 513, 8917, 267, 713, 786, 12954, 14761, 547, 6432, 543, 2087, 10618, 609, 713, 2085, 1895, 267, 789, 786, 723, 1100, 3903, 269, 4329, 267, 15114, 1565, 538, 3506, 786, 581, 782, 519, 811, 4143, 267, 543, 519, 9550, 11044, 786, 581, 4547, 883, 519, 1153, 12881, 811, 865, 982, 1354, 269, 2290, 666, 849, 2503, 606, 4505, 2797, 543, 11180, 12687, 5346, 1289, 950, 19920, 1294, 1018, 789, 666, 3035, 538, 741, 1378, 1604, 892, 670, 329, 1069, 2335, 6941, 563, 10214, 1498, 519, 2229, 8257, 3743, 585, 12836, 814, 5828, 1524, 519, 19583, 540, 16715, 519, 2085, 540, 13359, 585, 519, 14232, 12836, 267, 670, 329, 1069, 2335, 13187, 602, 789, 1058, 1376, 1631, 547, 960, 609, 1762, 1004, 267, 2486, 693, 1804, 543, 14761, 547, 5965, 3025, 585, 519, 12836, 538, 476, 1001, 272, 563, 6624, 540, 1346, 1996, 713, 11556, 7682, 602, 16715, 519, 13359, 2085, 547, 476, 1626, 1797, 23984, 27128, 609, 519, 2085, 540, 5354, 282, 855, 670, 329, 1069, 2335, 13187, 602, 972, 616, 2907, 1114, 2085, 7182, 602, 2303, 1114, 5232, 540, 15657, 269, 968, 2171, 616, 782, 1761, 3454, 1790, 16558, 689, 476, 1626, 547, 476, 6858, 269, 4653, 476, 1428, 1032, 31545, 616, 2366, 547, 7890, 267, 476, 1626, 1032, 31545, 616, 22265, 538, 2564, 2474, 267, 543, 789, 2628, 2937, 17914, 593, 21772, 9731, 892, 2171, 723, 4557, 1296, 540, 25471, 1153, 269, 898, 568, 519, 1153, 1062, 602, 786, 1305, 721, 909, 547, 7119, 8362, 538, 938, 2486, 269, 1403, 519, 1153, 1281, 711, 5965, 1762, 1004, 547, 1528, 14761, 267, 621, 568, 711, 519, 1762, 602, 723, 8959, 267, 855, 519, 1153, 269, 966, 7627, 693, 476, 1626, 786, 14626, 728, 609, 519, 2063, 1032, 540, 25471, 1153, 269, 634, 2063, 1032, 538, 1153, 568, 8197, 513, 17501, 942, 547, 7119, 538, 519, 12836, 543, 8108, 540, 938, 2486, 563, 299, 1077, 532, 519, 13359, 2085, 3340, 721, 547, 1689, 519, 11156, 269, 13281, 621, 538, 519, 1985, 27391, 531, 543, 6019, 7027, 12836, 1281, 711, 269, 1284, 723, 3388, 547, 2744, 543, 4986, 547, 10690, 538, 713, 4603, 9731, 268, 19534, 540, 519, 21785, 30934, 1496, 301, 528, 19886, 2639, 268, 5240, 281, 9466, 593, 6963, 543, 1761, 16715, 540, 13359, 2085, 1496, 289, 6195, 267, 4864, 476, 1220, 278, 2639, 28095, 5240, 5305, 3688, 454, 268, 476, 2420, 270, 5400, 270, 1220, 278, 281, 667, 2752, 293, 7838, 281, 10396, 308, 533, 728, 513, 979, 321, 1512, 7224, 632, 14181, 17505, 2926, 764, 18059, 15333, 705, 639, 334, 4638, 513, 18665, 16660, 637, 586, 562, 328, 10722, 657, 454, 268, 476, 2420, 270, 5400, 270, 1220, 278, 281, 918, 312, 305, 294, 312, 313, 4306, 3198, 281, 4132, 11668, 3788, 678, 1057, 454, 268, 476, 2420, 270, 5400, 270, 1220, 278, 281, 645, 20315, 299, 4696, 2464, 295, 281, 3683, 476, 275, 267, 1822, 3119, 3506, 6806, 676, 17160, 454, 268, 476, 2420, 270, 5400, 270, 1220, 278, 281, 772, 294, 3198, 6395, 281, 4400, 4638, 5208, 4025, 8951, 693, 3152, 7486, 1981, 454, 268, 476, 2420, 270, 5400, 270, 1220, 278, 281, 8121, 294, 28718, 2793, 281, 1133, 1768, 857, 334, 632, 17485, 18665, 1068, 657, 598, 818, 5733, 632, 535, 826, 2998, 8034, 518, 517, 15730, 525, 454, 16391, 5314, 13555, 19672, 912, 302, 3387, 644, 338, 2006, 585, 5753, 910, 16157, 454, 26213, 476, 31229, 280, 8479, 560, 528, 1326, 454, 307, 601, 281, 1341, 476, 5325, 476, 26631, 280, 4375, 2004, 454, 8310, 8242, 476, 2537, 270, 5400, 270, 1220, 278, 476, 1724, 281, 5881, 281, 1240, 0, 20597, 760, 547, 1292, 1543, 454, 1607, 3095, 814, 1044, 1433, 5658, 539, 676, 476, 272, 1004, 1547, 898, 729, 1101, 1433, 5658, 539, 593, 476, 2641, 4455, 476, 1220, 279, 267, 676, 14732, 32686, 5371, 563, 5804, 32282, 476, 4375, 4065, 269, 1548, 568, 1239, 9141, 1232, 338, 542, 1818, 543, 1946, 568, 621, 2877, 286, 4635, 1239, 568, 2565, 538, 2994, 585, 2875, 9740, 563, 551, 777, 275, 11907, 2875, 9740, 1239, 9141, 3375, 1818, 546, 274, 332, 454, 18794, 4144, 15282, 585, 513, 1863, 2272, 267, 610, 1129, 538, 952, 596, 616, 2907, 513, 4759, 269, 0, 257, 295, 792, 543, 6432, 1134, 267, 543, 594, 786, 2995, 596, 513, 9661, 602, 814, 1044, 5143, 585, 513, 8536, 1296, 543, 811, 269, 898, 949, 581, 606, 2025, 1650, 267, 2943, 621, 13542, 543, 17512, 5809, 721, 1631, 607, 1454, 607, 621, 2479, 1705, 267, 585, 649, 1869, 4250, 519, 9409, 602, 26106, 802, 856, 972, 538, 519, 14334, 543, 3564, 1701, 2443, 28061, 5651, 335, 1872, 334, 454, 1103, 11359, 10601, 16862, 267, 513, 12638, 748, 20599, 26106, 802, 519, 3781, 267, 543, 1152, 519, 1390, 19036, 540, 519, 2983, 1846, 814, 519, 4222, 543, 10100, 547, 14710, 1864, 269, 29028, 781, 32049, 1391, 547, 6861, 13983, 526, 601, 267, 519, 28067, 535, 328, 754, 267, 513, 12404, 748, 4262, 3620, 698, 543, 513, 1395, 560, 9317, 3595, 1673, 16400, 568, 519, 9510, 17005, 12473, 538, 3703, 3332, 269, 3203, 2685, 1427, 1245, 543, 14996, 1836, 11609, 267, 713, 13959, 4320, 547, 11184, 717, 1177, 664, 543, 519, 5682, 26427, 568, 1500, 14678, 3015, 547, 1453, 676, 513, 23773, 1453, 781, 1433, 11450, 563, 8196, 13657, 585, 6213, 3988, 282, 972, 568, 2614, 575, 648, 630, 5443, 13881, 267, 7916, 530, 27221, 1055, 267, 28749, 581, 20243, 264, 547, 21898, 873, 269, 0, 2691, 649, 1101, 4862, 827, 519, 9891, 5295, 31420, 3842, 1488, 4226, 337, 3320, 14066, 1912, 1078, 26275, 630, 306, 4916, 268, 3201, 303, 11190, 264, 734, 320, 6069, 8768, 11057, 3859, 1379, 1648, 21689, 602, 20832, 1524, 13671, 17196, 1648, 1394, 547, 3047, 734, 527, 32131, 11613, 3341, 739, 2730, 563, 3086, 538, 513, 2487, 5967, 609, 12624, 4580, 2676, 300, 1678, 1231, 6941, 602, 519, 590, 4916, 268, 3201, 303, 11190, 568, 1454, 811, 3839, 982, 519, 2856, 540, 513, 3859, 2030, 538, 2230, 1101, 22885, 538, 519, 476, 3192, 271, 338, 269, 901, 1007, 834, 2641, 560, 2540, 9682, 18271, 1454, 811, 3608, 3859, 2029, 607, 1134, 607, 4130, 13838, 602, 957, 1927, 899, 513, 2220, 1301, 540, 17605, 563, 763, 590, 4916, 268, 3201, 303, 11190, 568, 9280, 609, 513, 1804, 5044, 540, 6094, 1922, 559, 332, 19141, 547, 2992, 543, 13404, 7943, 2047, 5196, 513, 3844, 25675, 3693, 593, 519, 1394, 540, 519, 9682, 781, 5044, 269, 4495, 519, 9682, 3157, 519, 3859, 1648, 267, 621, 20832, 1394, 519, 1648, 607, 14580, 2314, 538, 519, 1106, 540, 5925, 6329, 563, 12988, 593, 3618, 267, 631, 1678, 1231, 3081, 3203, 28087, 16743, 5004, 10298, 786, 1628, 513, 7372, 17196, 17513, 8670, 827, 476, 274, 269, 278, 547, 2947, 5195, 538, 8006, 267, 17479, 1614, 547, 3670, 5195, 1657, 519, 2666, 563, 8601, 519, 21689, 781, 7372, 2450, 267, 631, 1678, 1231, 3081, 621, 1131, 18923, 1860, 519, 4478, 7320, 269, 634, 8670, 1223, 1256, 581, 8288, 936, 3484, 1633, 734, 3697, 519, 3657, 322, 756, 334, 23571, 734, 23719, 18363, 519, 14498, 18284, 519, 8670, 563, 10048, 1731, 1231, 3081, 519, 2319, 540, 3744, 2808, 581, 5446, 519, 1648, 1394, 547, 3047, 607, 513, 2362, 4908, 8955, 547, 2569, 519, 2450, 540, 519, 31092, 593, 519, 9682, 543, 17513, 593, 3047, 269, 1809, 519, 1164, 4908, 1025, 6814, 1223, 581, 14124, 547, 32416, 543, 5732, 5337, 924, 11642, 610, 30762, 563, 257, 13914, 827, 519, 454, 763, 1981, 3815, 29387, 338, 519, 6822, 10631, 633, 267, 11741, 11419, 6035, 676, 22795, 269, 2991, 782, 267, 18864, 6499, 3047, 547, 979, 519, 1259, 540, 25548, 5028, 534, 563, 2026, 585, 950, 713, 1788, 786, 2965, 1491, 1055, 267, 631, 1678, 1231, 13922, 547, 6385, 18634, 519, 590, 4916, 268, 3201, 303, 11190, 538, 1614, 1032, 1213, 906, 609, 513, 8772, 5108, 18634, 6368, 22745, 538, 476, 1708, 276, 269, 1717, 267, 646, 3081, 972, 616, 1869, 1082, 23665, 547, 3068, 267, 1519, 3384, 2326, 602, 666, 3579, 3533, 538, 2230, 269, 16480, 267, 519, 2319, 13922, 547, 2569, 519, 1942, 540, 1648, 1524, 547, 454, 7197, 15019, 12267, 454, 268, 645, 760, 691, 16388, 20907, 20958, 717, 1115, 6206, 8081, 538, 5600, 454, 268, 570, 11902, 5589, 745, 1746, 667, 3722, 288, 5589, 760, 1801, 454, 268, 11670, 1849, 2158, 700, 3420, 13115, 334, 11038, 26657, 454, 268, 8857, 577, 1733, 529, 5652, 19833, 14780, 1047, 5940, 650, 619, 262, 9454, 1080, 454, 268, 22735, 547, 3223, 2106, 1774, 16316, 3244, 332, 976, 15557, 10985, 454, 268, 31054, 19255, 4771, 5510, 547, 513, 20405, 3399, 901, 17897, 454, 268, 2657, 15147, 720, 2598, 1706, 885, 9622, 613, 7324, 2276, 454, 268, 674, 820, 32664, 3955, 2181, 614, 12984, 8065, 1075, 3215, 267, 13201, 5576, 16333, 454, 268, 23093, 652, 320, 6145, 569, 547, 1234, 915, 6206, 7723, 2473, 299, 454, 268, 21281, 9549, 3794, 636, 538, 8131, 540, 645, 760, 691, 16388, 20907, 20958, 0, 763, 22800, 2048, 339, 691, 534, 25022, 685, 268, 288, 589, 1341, 288, 454, 306, 1495, 599, 267, 4864, 476, 1240, 267, 476, 1001, 274, 454, 289, 9128, 16800, 14247, 788, 7958, 543, 3454, 529, 941, 4535, 267, 25188, 534, 25022, 941, 2907, 1459, 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 ]
[ 946, 540, 2371, 267, 11922, 543, 21555, 547, 3895, 10103, 543, 3666, 547, 519, 2898, 1560, 267, 1419, 1031, 676, 3600, 1575, 9417, 584, 626, 543, 454, 12709, 14527, 1107, 5088, 806, 1142, 1268, 607, 513, 2898, 1367, 2864, 982, 2519, 593, 519, 19210, 610, 2068, 269, 898, 568, 5393, 2922, 2094, 789, 616, 1500, 689, 782, 2067, 6878, 899, 2030, 543, 6886, 563, 22134, 549, 1492, 2805, 1107, 3096, 1216, 547, 1683, 9354, 2360, 585, 17212, 1324, 1928, 543, 2333, 2039, 540, 5163, 563, 29797, 16915, 1107, 15632, 540, 513, 1533, 540, 9637, 538, 799, 513, 1268, 15151, 19380, 519, 1379, 540, 17319, 2962, 543, 568, 3810, 17841, 547, 19583, 610, 4287, 563, 23409, 10657, 1107, 5161, 540, 4598, 547, 21765, 610, 547, 1808, 20966, 540, 1769, 269, 901, 568, 4122, 1031, 585, 12119, 28146, 4524, 630, 306, 4696, 264, 543, 2960, 4713, 563, 22709, 720, 10657, 1107, 1560, 1740, 1107, 13315, 476, 1911, 338, 952, 711, 476, 1911, 271, 338, 540, 1114, 2010, 540, 2126, 22392, 2571, 1560, 5160, 267, 4887, 24561, 5160, 267, 28844, 543, 28587, 547, 3986, 513, 1268, 779, 1072, 543, 1134, 5630, 563, 300, 2664, 290, 340, 6137, 1107, 849, 1634, 607, 6481, 7136, 720, 19923, 6137, 543, 28820, 10840, 10657, 547, 3895, 4254, 16478, 543, 3350, 547, 24715, 622, 2127, 540, 519, 1560, 269, 2405, 328, 290, 340, 6137, 1198, 519, 8229, 267, 30754, 543, 30057, 11444, 547, 11177, 27921, 563, 8469, 2787, 1107, 513, 2259, 547, 5721, 519, 2247, 547, 979, 883, 513, 2620, 1533, 540, 9637, 267, 950, 519, 2247, 568, 1863, 540, 4555, 543, 1919, 563, 300, 4916, 10657, 1107, 2488, 606, 782, 1007, 1505, 547, 8156, 1928, 269, 5843, 9690, 8672, 29918, 1637, 568, 513, 10316, 1110, 1275, 9256, 519, 3741, 540, 2413, 11719, 344, 543, 22591, 547, 1683, 29648, 344, 1993, 553, 1017, 1928, 8323, 563, 24523, 10657, 1107, 948, 2087, 1072, 538, 1896, 2081, 267, 971, 607, 5042, 8647, 267, 5179, 1983, 267, 3929, 1646, 267, 1514, 1983, 543, 2298, 540, 1272, 563, 32507, 268, 1782, 340, 2065, 5752, 1107, 568, 1031, 547, 3986, 2773, 267, 547, 3251, 5059, 543, 948, 1852, 3283, 3929, 1533, 269, 28589, 6240, 568, 602, 596, 616, 538, 5279, 540, 707, 2247, 267, 543, 4061, 707, 1272, 563, 303, 6897, 640, 3797, 1107, 513, 1062, 540, 5574, 547, 11177, 3666, 540, 1648, 799, 16621, 12879, 267, 3635, 543, 8192, 9993, 563, 8269, 2716, 1108, 1107, 849, 1634, 607, 7997, 3797, 269, 16242, 568, 4294, 547, 519, 3952, 267, 3946, 610, 609, 513, 14853, 267, 9416, 610, 1507, 547, 1907, 547, 3666, 8219, 543, 1949, 540, 519, 1560, 563, 3725, 5942, 1107, 7067, 3946, 1107, 18413, 593, 540, 3946, 1107, 547, 2569, 2566, 543, 1711, 11005, 547, 3895, 519, 1560, 547, 12115, 543, 1648, 547, 2095, 2429, 563, 312, 7541, 1107, 568, 513, 2259, 540, 4466, 968, 684, 542, 892, 609, 13951, 269, 898, 3322, 8066, 21018, 607, 513, 2186, 540, 1970, 27780, 716, 2168, 3635, 267, 543, 568, 1419, 1031, 585, 9354, 5301, 563, 2467, 616, 5215, 540, 14911, 267, 4244, 543, 32687, 11257, 2139, 269, 898, 568, 2141, 1655, 585, 596, 547, 6430, 609, 835, 568, 1655, 585, 596, 269, 2290, 3797, 949, 960, 585, 835, 1268, 855, 711, 585, 1776, 269, 1403, 835, 1281, 711, 960, 798, 711, 2285, 909, 707, 13287, 547, 3666, 543, 10103, 585, 707, 2247, 267, 1560, 543, 9997, 269, 634, 12587, 568, 4502, 519, 3460, 256, 0, 290, 1735, 4290, 568, 513, 942, 585, 1250, 1053, 547, 2671, 741, 1164, 338, 543, 1970, 338, 1644, 547, 19174, 267, 543, 547, 2671, 1018, 781, 3811, 543, 10010, 585, 873, 538, 519, 1362, 269, 898, 568, 513, 1875, 3620, 1512, 1105, 673, 8468, 585, 4901, 269, 901, 568, 1271, 538, 1250, 4928, 1317, 621, 3947, 721, 513, 3532, 2259, 547, 1174, 811, 4628, 543, 5660, 519, 3309, 10080, 267, 2833, 267, 543, 8369, 540, 938, 4928, 269, 898, 568, 513, 1184, 602, 16111, 27372, 609, 1142, 1895, 543, 538, 1142, 942, 538, 938, 1378, 7835, 563, 4263, 938, 20762, 1153, 267, 649, 1871, 1239, 538, 782, 3029, 267, 17929, 649, 3343, 547, 2743, 1312, 519, 4081, 543, 8965, 2115, 540, 938, 1053, 269, 769, 519, 10026, 1153, 4259, 267, 1141, 649, 2708, 2542, 2157, 1169, 3670, 4374, 267, 649, 849, 2708, 2875, 2208, 543, 17117, 538, 1142, 2875, 779, 20762, 1565, 1169, 10116, 543, 2708, 8965, 3466, 593, 513, 10865, 4493, 563, 7069, 1053, 4497, 538, 513, 4640, 1572, 4569, 5517, 12071, 1890, 585, 513, 1906, 3764, 1142, 1362, 1974, 269, 1358, 946, 513, 3819, 32135, 15262, 547, 6445, 538, 513, 10145, 8691, 3349, 3330, 513, 5068, 6656, 2149, 528, 2687, 547, 513, 1808, 4341, 630, 2421, 476, 273, 338, 267, 676, 476, 276, 338, 267, 3092, 12175, 594, 946, 713, 4640, 547, 948, 1250, 1053, 5469, 3270, 1369, 519, 8691, 3349, 543, 547, 1020, 513, 2620, 12497, 1620, 540, 8691, 563, 288, 2318, 4928, 2528, 8992, 2875, 6278, 267, 4398, 267, 543, 4081, 2208, 269, 9177, 7506, 875, 543, 1946, 1053, 1451, 543, 13218, 1053, 547, 519, 4116, 593, 513, 2123, 1377, 269, 6744, 856, 519, 3381, 2630, 547, 1294, 875, 12049, 11276, 779, 2528, 5222, 2875, 9740, 256, 0, 10521, 9897, 11651, 3022, 538, 513, 5835, 3574, 267, 1656, 20994, 594, 1223, 711, 2951, 1312, 269, 1656, 581, 835, 2951, 518, 267, 1279, 594, 11542, 269, 1656, 6743, 1524, 835, 607, 2484, 607, 594, 1223, 269, 1677, 1141, 621, 18761, 538, 519, 896, 29115, 282, 3973, 3576, 519, 824, 267, 607, 1175, 607, 4023, 267, 1656, 2348, 5310, 519, 1732, 3409, 267, 5221, 621, 729, 6371, 344, 543, 4941, 5957, 282, 9282, 607, 585, 602, 519, 4429, 288, 5758, 540, 968, 763, 10003, 3502, 570, 2586, 892, 538, 7917, 29778, 781, 29778, 781, 7216, 31888, 269, 6258, 4010, 1018, 5949, 538, 713, 3184, 267, 6429, 267, 610, 3296, 540, 29778, 781, 7216, 31888, 543, 1018, 621, 1797, 269, 17828, 585, 1035, 532, 3594, 267, 4255, 267, 543, 17118, 267, 607, 1134, 607, 585, 1603, 3992, 4566, 563, 9802, 476, 2767, 267, 476, 1001, 277, 3267, 1306, 1010, 24983, 4652, 9529, 267, 29778, 5932, 513, 3818, 13109, 540, 10096, 267, 2760, 3833, 3850, 835, 547, 5486, 656, 519, 824, 1765, 16838, 607, 968, 763, 10003, 3502, 570, 2586, 892, 6257, 875, 3903, 568, 17149, 269, 968, 763, 10003, 3502, 570, 2586, 892, 5956, 609, 513, 14196, 267, 607, 1082, 18912, 2145, 525, 798, 1547, 4934, 6972, 267, 519, 10584, 2501, 547, 513, 23643, 538, 519, 4155, 543, 814, 4429, 11321, 476, 2918, 267, 476, 1001, 275, 3267, 634, 10539, 2501, 909, 538, 1010, 6648, 834, 763, 10003, 3502, 570, 2586, 2437, 538, 799, 513, 2951, 518, 6257, 7446, 1063, 1079, 10092, 998, 519, 18137, 269, 3267, 4612, 713, 607, 2963, 540, 519, 2628, 4752, 585, 1954, 996, 9722, 543, 711, 1739, 519, 15624, 267, 950, 621, 2965, 8292, 827, 1004, 4466, 2495, 538, 17062, 3664, 563, 13971, 476, 1015, 267, 476, 1001, 276, 3267, 2201, 519, 476, 1911, 628, 16683, 540, 519, 6648, 781, 8313, 267, 513, 28834, 10564, 12116, 922, 5048, 543, 875, 621, 20206, 12885, 1018, 922, 2278, 729, 782, 827, 563, 20225, 476, 1556, 267, 476, 1001, 276, 3267, 3245, 634, 10003, 3502, 570, 2586, 281, 15531, 3013, 538, 519, 7313, 655, 15526, 700, 7174, 543, 20290, 15526, 717, 1115, 654, 3994, 267, 513, 1007, 1433, 676, 6424, 2107, 337, 269, 23099, 4107, 3988, 2015, 968, 763, 10003, 3502, 570, 2586, 892, 547, 581, 513, 533, 2801, 534, 547, 15112, 11244, 1582, 12431, 1068, 542, 12462, 296, 3576, 519, 835, 1447, 14612, 676, 25257, 855, 519, 21055, 2495, 540, 519, 6648, 781, 1378, 3515, 4429, 22437, 4479, 267, 646, 5206, 267, 568, 30109, 968, 5471, 777, 1817, 267, 6031, 835, 3364, 543, 2495, 1776, 267, 6031, 835, 3364, 538, 2474, 540, 1776, 267, 519, 12257, 540, 12804, 10262, 640, 1848, 3571, 9740, 538, 519, 6648, 968, 763, 10003, 3502, 570, 2586, 892, 568, 547, 3142, 891, 1114, 3096, 540, 14165, 883, 1404, 538, 513, 10508, 2685, 4401, 545, 13326, 957, 269, 2334, 568, 547, 2161, 267, 519, 10584, 32444, 569, 4429, 7476, 606, 2626, 585, 1412, 1432, 568, 519, 2898, 7778, 585, 519, 6648, 267, 834, 763, 10003, 3502, 570, 2586, 22172, 262, 543, 1265, 6780, 948, 585, 824, 634, 10003, 3502, 570, 2586, 2055, 693, 552, 24687, 563, 15037, 476, 1704, 267, 476, 1001, 278, 3267, 1703, 568, 513, 3375, 547, 581, 1500, 269, 6904, 4155, 547, 2951, 1524, 267, 799, 2619, 547, 1491, 538, 1272, 286, 29778, 781, 15826, 6648, 593, 1863, 786, 543, 519, 5079, 621, 2636, 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 ]
[ 551, 314, 11133, 316, 815, 588, 330, 15631, 272, 316, 952, 588, 330, 3116, 910, 272, 454, 2018, 588, 330, 6910, 16325, 264, 3097, 1038, 2132, 1496, 323, 551, 314, 11133, 316, 585, 1003, 538, 15358, 272, 2639, 1038, 0, 3698, 1205, 318, 10113, 263, 6312, 1181, 2187, 825, 1985, 815, 1496, 271, 585, 1775, 538, 2039, 12759, 263, 6312, 1181, 4297, 2639, 825, 4994, 267, 1775, 476, 815, 476, 271, 267, 476, 271, 454, 825, 1247, 1775, 2999, 7003, 263, 6312, 1181, 2187, 1038, 952, 4806, 27709, 316, 2652, 4806, 5157, 14158, 2018, 1985, 5157, 316, 815, 4994, 1341, 476, 272, 454, 2018, 4994, 6834, 476, 272, 454, 2018, 1775, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 952, 711, 4994, 912, 3546, 4994, 815, 1985, 27709, 910, 476, 272, 2639, 2018, 3116, 912, 3546, 1985, 5157, 316, 815, 476, 271, 454, 3546, 1775, 6834, 476, 272, 692, 3698, 1205, 16229, 29495, 267, 4806, 2187, 825, 1985, 815, 1205, 318, 10113, 263, 6312, 1181, 994, 825, 512, 267, 533, 815, 476, 271, 267, 476, 271, 454, 825, 1247, 512, 2999, 7003, 29495, 264, 543, 533, 2999, 7003, 263, 6312, 1181, 2187, 1038, 952, 1257, 314, 339, 316, 2652, 4806, 314, 335, 14158, 2018, 512, 6834, 476, 272, 454, 2018, 533, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 952, 711, 533, 281, 533, 815, 1985, 314, 335, 910, 476, 272, 2639, 2018, 3116, 281, 672, 512, 6834, 476, 272, 454, 825, 2132, 512, 910, 533, 952, 533, 2652, 7003, 263, 6312, 1181, 264, 3116, 910, 272, 692, 3698, 814, 5334, 889, 11415, 29495, 267, 4806, 2187, 825, 2132, 1205, 16229, 29495, 267, 4806, 264, 11203, 910, 272, 692, 3698, 1292, 10031, 825, 1257, 815, 834, 29582, 629, 12711, 19487, 29582, 659, 4840, 825, 4806, 815, 834, 19487, 29582, 659, 4840, 825, 1820, 2891, 9989, 519, 2387, 3667, 319, 2270, 519, 2387, 6312, 1181, 319, 286, 834, 2073, 814, 5334, 889, 11415, 29495, 2073, 4806, 4917, 825, 1820, 2891, 1432, 781, 519, 4994, 602, 519, 2387, 6312, 1181, 319, 538, 519, 2387, 3667, 319, 286, 834, 2073, 1205, 16229, 29495, 267, 4806, 11723, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 672, 0, 12163, 6795, 1315, 476, 6795, 1449, 2665, 5293, 563, 305, 29025, 281, 476, 7367, 20444, 454, 300, 25514, 26402, 281, 476, 1691, 269, 280, 15406, 454, 12163, 5035, 8827, 912, 825, 1219, 4194, 13420, 566, 4311, 267, 3830, 281, 1193, 264, 9847, 1193, 912, 1038, 1535, 815, 1003, 815, 476, 271, 454, 1038, 1775, 267, 562, 267, 1129, 815, 476, 271, 267, 7003, 263, 3225, 566, 1070, 476, 272, 454, 1038, 1247, 1775, 2999, 562, 912, 2018, 952, 3830, 5157, 316, 2652, 1412, 8782, 912, 3546, 1129, 815, 910, 272, 454, 3546, 1775, 6834, 476, 272, 454, 3546, 3136, 692, 2018, 521, 815, 1129, 454, 2018, 952, 3830, 5157, 316, 2652, 1412, 266, 12466, 3546, 1775, 6834, 476, 272, 454, 2018, 8640, 3830, 5157, 316, 2652, 21029, 12466, 3546, 521, 815, 910, 338, 3097, 3546, 1775, 6834, 476, 272, 692, 2018, 737, 267, 4570, 815, 476, 271, 267, 8771, 454, 2018, 1247, 1775, 2999, 562, 543, 3830, 5157, 4940, 529, 323, 13424, 10031, 3546, 4570, 815, 6936, 454, 3546, 737, 815, 737, 2608, 476, 1015, 1341, 703, 263, 3225, 566, 5157, 7481, 3546, 1775, 6834, 476, 272, 454, 2018, 952, 1775, 2999, 562, 543, 3830, 5157, 316, 2652, 1412, 343, 12466, 3546, 1535, 6834, 521, 2608, 737, 952, 4570, 3116, 521, 454, 3546, 1775, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 1003, 6834, 521, 2608, 737, 454, 27030, 1038, 952, 1535, 2652, 476, 271, 912, 2018, 2132, 834, 5591, 3070, 257, 952, 1003, 3116, 834, 14813, 9548, 3435, 4840, 1038, 2132, 535, 257, 343, 284, 24877, 11133, 2260, 343, 348, 4840, 0, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 692, 12163, 11820, 1315, 476, 11820, 1449, 2665, 5293, 563, 305, 29025, 281, 476, 4366, 20444, 454, 300, 25514, 26402, 281, 476, 1626, 269, 276, 15406, 454, 12163, 5035, 8827, 912, 825, 1219, 1039, 3080, 305, 578, 4311, 267, 3597, 281, 8838, 1308, 314, 21698, 11966, 3910, 1130, 281, 703, 267, 3178, 281, 703, 264, 9847, 8838, 1308, 314, 21698, 11966, 14158, 1038, 952, 3178, 2652, 476, 272, 912, 2018, 2132, 30741, 263, 1998, 267, 3597, 267, 7183, 994, 1038, 7117, 815, 10070, 19709, 4302, 8443, 10174, 7481, 1038, 585, 9041, 538, 2039, 263, 272, 267, 3178, 910, 476, 272, 2187, 2018, 585, 9041, 538, 2039, 12759, 32429, 15892, 3546, 6843, 815, 7117, 4877, 963, 1111, 4590, 3546, 952, 6843, 16000, 912, 7386, 7117, 6910, 27316, 16000, 994, 3546, 952, 6843, 16192, 912, 7386, 7117, 6910, 27316, 16192, 994, 1038, 585, 6843, 538, 7117, 912, 2018, 6843, 16000, 815, 30741, 263, 1998, 267, 6843, 16000, 267, 7183, 994, 2018, 6843, 16192, 815, 30741, 263, 1998, 267, 7183, 267, 6843, 16192, 994, 1038, 2132, 3597, 692, 12163, 11820, 1315, 476, 11820, 1449, 2665, 5293, 563, 305, 29025, 281, 476, 2568, 20444, 454, 300, 25514, 26402, 281, 476, 1240, 269, 273, 15406, 454, 12163, 5035, 8827, 273, 912, 825, 1219, 1039, 3080, 305, 578, 4311, 267, 3597, 281, 8838, 1308, 314, 21698, 11966, 3910, 1130, 281, 703, 267, 3178, 281, 703, 264, 9847, 8838, 1308, 314, 21698, 11966, 14158, 1038, 952, 3597, 2652, 7183, 912, 2018, 2132, 454, 1038, 952, 3178, 2652, 476, 272, 912, 2018, 2132, 30741, 263, 1998, 267, 3597, 267, 7183, 994, 1038, 952, 3178, 2652, 476, 273, 912, 2018, 3597, 16000, 815, 30741, 263, 1998, 267, 3597, 16000, 267, 7183, 994, 2018, 3597, 16192, 815, 30741, 263, 1998, 267, 7183, 267, 3597, 16192, 994, 1038, 3116, 912, 2018, 3597, 16000, 815, 1582, 14491, 3080, 305, 578, 20172, 16000, 267, 1130, 267, 3178, 910, 476, 272, 994, 2018, 3597, 16192, 815, 1582, 14491, 3080, 305, 578, 20172, 16192, 267, 1130, 267, 3178, 910, 476, 272, 994, 1038, 2132, 3597, 0, 12163, 6795, 1315, 476, 6795, 1449, 2665, 5293, 563, 305, 29025, 281, 476, 10602, 20444, 454, 300, 25514, 26402, 281, 476, 1428, 269, 280, 15406, 454, 12163, 5035, 8827, 912, 825, 1219, 13074, 17504, 4311, 267, 1913, 281, 5903, 314, 1598, 8079, 9847, 1193, 912, 1038, 570, 4471, 815, 25754, 281, 10070, 269, 29239, 18743, 24867, 4471, 994, 1038, 2468, 324, 815, 570, 4471, 4590, 1038, 13673, 291, 815, 6936, 692, 1038, 585, 1775, 267, 2262, 538, 26246, 263, 6919, 2187, 2018, 1187, 551, 8962, 18622, 706, 576, 5560, 1112, 14857, 1326, 14403, 1029, 267, 2262, 267, 2468, 324, 25011, 21715, 316, 815, 1775, 692, 1038, 588, 330, 815, 1592, 6025, 4471, 269, 11161, 15405, 1038, 20735, 815, 834, 4840, 1038, 1247, 588, 330, 912, 2018, 1225, 815, 588, 330, 21014, 4590, 2018, 952, 13673, 291, 538, 1225, 912, 3546, 2262, 815, 1913, 314, 2017, 314, 21715, 27663, 3546, 952, 7003, 27182, 264, 3436, 7003, 263, 753, 264, 610, 7003, 27182, 264, 2652, 7003, 263, 753, 264, 543, 2262, 2999, 20735, 912, 7386, 20735, 815, 2262, 454, 3546, 588, 330, 269, 2169, 754, 8443, 2017, 314, 12072, 316, 585, 4484, 538, 1225, 952, 4484, 11203, 13673, 291, 20285, 1038, 2132, 20735, 7531, 12163, 6795, 1315, 476, 6795, 1449, 2665, 5293, 563, 305, 29025, 281, 476, 4366, 20444, 454, 300, 25514, 26402, 281, 476, 1428, 269, 275, 15406, 454, 12163, 5035, 8827, 273, 912, 825, 1219, 13074, 17504, 4311, 267, 1913, 281, 5903, 314, 1598, 8079, 9847, 1193, 912, 1038, 1913, 31699, 4590, 1038, 521, 815, 1305, 4590, 1038, 20735, 815, 834, 4840, 1038, 585, 2262, 538, 1913, 912, 2018, 952, 7003, 27182, 264, 2652, 476, 272, 610, 2262, 314, 271, 18737, 272, 316, 538, 521, 912, 3546, 952, 7003, 27182, 264, 3436, 7003, 263, 753, 2187, 7386, 20735, 815, 2262, 454, 3546, 521, 14491, 27182, 994, 1038, 2132, 20735, 454, 0, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 692, 12163, 9264, 1315, 476, 9264, 1449, 2665, 5293, 563, 305, 29025, 281, 476, 12208, 20444, 454, 300, 25514, 26402, 281, 476, 1626, 269, 274, 15406, 454, 12163, 5035, 8827, 912, 825, 1219, 568, 8138, 29728, 4311, 267, 3597, 281, 30741, 267, 1016, 305, 2393, 281, 30741, 264, 9847, 536, 944, 912, 1038, 1219, 1482, 16868, 267, 521, 2187, 2018, 952, 711, 678, 610, 711, 521, 281, 2132, 678, 2652, 521, 454, 2018, 2132, 678, 22183, 2652, 521, 22183, 543, 1482, 16868, 16000, 267, 521, 16000, 264, 543, 1482, 16868, 16192, 267, 521, 16192, 994, 13872, 1038, 952, 711, 3597, 610, 711, 1016, 305, 2393, 281, 2132, 3597, 2652, 1016, 305, 2393, 454, 1038, 2132, 1482, 20172, 267, 1016, 305, 2393, 264, 610, 1582, 18994, 8138, 29728, 20172, 16000, 267, 1016, 305, 2393, 264, 610, 1582, 18994, 8138, 29728, 20172, 16192, 267, 1016, 305, 2393, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 1548, 568, 513, 14165, 547, 4766, 2576, 888, 268, 1548, 568, 513, 14165, 585, 5898, 888, 268, 1548, 568, 513, 1138, 850, 585, 5100, 888, 268, 1548, 568, 513, 14165, 1383, 585, 1053, 888, 268, 7316, 1705, 519, 4082, 5100, 607, 513, 627, 760, 2097, 689, 888, 268, 1548, 568, 4764, 513, 14165, 585, 888, 268, 1548, 568, 513, 14165, 585, 11505, 888, 268, 1548, 616, 519, 476, 276, 1806, 540, 14165, 888, 268, 1548, 568, 519, 1655, 14165, 888, 268, 1548, 568, 513, 14165, 585, 942, 888, 268, 5808, 11827, 1138, 850, 888, 268, 1548, 1913, 798, 23199, 946, 888, 268, 1548, 568, 513, 1434, 1383, 540, 513, 14165, 888, 268, 1548, 568, 513, 14165, 585, 6126, 888, 268, 1548, 568, 513, 14165, 585, 4126, 888, 268, 1548, 616, 1806, 540, 23199, 543, 1138, 3796, 888, 268, 1548, 568, 513, 14165, 585, 18354, 888, 268, 1548, 568, 513, 14165, 585, 513, 3728, 27460, 888, 268, 1548, 616, 519, 476, 276, 1383, 540, 1138, 850, 888, 268, 1548, 568, 513, 14165, 585, 6780, 888, 268, 1548, 568, 513, 14165, 585, 2576, 945, 568, 711, 1134, 1969, 539, 888, 1432, 568, 513, 14165, 547, 4766, 2576, 888, 288, 14165, 568, 513, 2262, 610, 8360, 602, 568, 1031, 547, 4766, 513, 1268, 610, 1843, 543, 538, 865, 3257, 2306, 606, 6956, 6476, 282, 19890, 267, 713, 2048, 25969, 685, 6476, 568, 711, 2141, 2653, 547, 1174, 563, 2690, 1383, 267, 2048, 15463, 13566, 3068, 729, 513, 24886, 8289, 17483, 15463, 3068, 7948, 1406, 12777, 630, 514, 1483, 264, 581, 13566, 10756, 1432, 568, 513, 14165, 585, 5898, 888, 6826, 2246, 344, 568, 513, 3171, 770, 585, 519, 28438, 898, 1522, 581, 8949, 269, 898, 1522, 849, 9329, 543, 1413, 8949, 269, 1677, 2721, 519, 21658, 936, 547, 2576, 945, 568, 4190, 267, 741, 5654, 1223, 14165, 1227, 581, 1572, 2048, 23437, 5534, 685, 952, 621, 779, 1945, 602, 779, 8353, 24312, 24886, 563, 1432, 568, 513, 1138, 850, 585, 5100, 888, 25802, 10995, 610, 15931, 267, 607, 538, 9741, 20574, 568, 5100, 607, 513, 627, 760, 282, 646, 779, 1152, 1614, 543, 2907, 1565, 547, 1224, 269, 901, 1138, 850, 782, 26360, 547, 519, 8325, 11523, 540, 513, 627, 760, 563, 1432, 568, 513, 14165, 1383, 585, 1053, 888, 2690, 1383, 281, 2048, 7069, 7015, 685, 568, 513, 6477, 2280, 568, 513, 14165, 269, 901, 3948, 3884, 1406, 12777, 3020, 1107, 513, 1126, 3112, 581, 513, 6477, 1107, 855, 519, 7015, 666, 2671, 513, 6477, 779, 4162, 267, 899, 4189, 6266, 610, 6010, 532, 547, 1404, 538, 519, 16095, 256, 9521, 513, 1138, 850, 267, 23199, 798, 711, 946, 519, 1913, 2048, 3697, 685, 610, 2048, 553, 17483, 8489, 1705, 519, 4082, 5100, 607, 513, 627, 760, 2097, 689, 888, 25802, 15931, 267, 3810, 10995, 269, 634, 8325, 11523, 540, 513, 627, 760, 814, 1044, 513, 14165, 585, 2790, 2656, 1145, 2094, 519, 4571, 5991, 12078, 2540, 538, 3013, 269, 968, 3891, 729, 607, 5100, 607, 513, 627, 760, 2223, 5206, 645, 269, 674, 269, 13177, 630, 13328, 593, 5453, 1564, 267, 476, 6942, 275, 1070, 835, 540, 519, 2038, 23079, 540, 713, 4082, 538, 1820, 563, 1432, 568, 4764, 513, 14165, 585, 888, 305, 664, 31283, 12618, 1107, 769, 519, 5858, 540, 1272, 267, 4764, 568, 2877, 547, 1118, 2371, 1332, 269, 1879, 2469, 998, 9157, 2053, 267, 621, 568, 1271, 547, 1577, 938, 2053, 540, 1373, 546, 27221, 5512, 721, 547, 1831, 513, 1732, 4528, 540, 6000, 269, 14175, 2037, 1963, 5020, 1107, 3776, 4703, 4096, 593, 1216, 547, 7639, 563, 1432, 568, 513, 14165, 585, 11505, 888, 288, 3659, 568, 513, 9782, 270, 17810, 267, 952, 596, 1416, 585, 873, 543, 1521, 873, 609, 2463, 789, 786, 2285, 596, 8788, 543, 1750, 1359, 909, 538, 2132, 11320, 1156, 596, 991, 621, 630, 31138, 899, 602, 24047, 589, 3659, 568, 513, 14951, 267, 2899, 596, 1265, 621, 581, 18507, 585, 621, 607, 952, 596, 1223, 6336, 621, 693, 1022, 4090, 563, 1432, 616, 519, 476, 276, 1806, 540, 14165, 888, 9336, 1485, 5020, 5450, 777, 4243, 11990, 779, 19583, 729, 1175, 513, 17020, 5025, 573, 585, 519, 1966, 7868, 5641, 593, 1010, 7745, 1850, 729, 513, 29147, 695, 871, 548, 11482, 5922, 568, 519, 2575, 540, 519, 9997, 6993, 1337, 320, 568, 513, 13621, 1494, 13034, 518, 17681, 5639, 729, 2575, 547, 1010, 10772, 7868, 1158, 568, 513, 3942, 269, 7069, 4819, 779, 4055, 568, 513, 9568, 1858, 11482, 1057, 568, 513, 16945, 1723, 2120, 21457, 3688, 7498, 1432, 568, 519, 1655, 14165, 888, 293, 13904, 23199, 10527, 8262, 10854, 1848, 2560, 968, 5472, 519, 1158, 779, 513, 3942, 267, 543, 782, 519, 2367, 543, 2021, 8806, 5716, 269, 2560, 968, 9209, 729, 1127, 2476, 689, 519, 9997, 519, 7452, 540, 4948, 1272, 1848, 2560, 968, 296, 993, 519, 1434, 1352, 23311, 267, 2560, 543, 594, 2482, 1524, 1250, 1272, 585, 519, 13265, 1848, 2560, 968, 5472, 10764, 267, 6575, 543, 9443, 616, 8371, 540, 519, 1482, 3529, 1848, 2560, 968, 2419, 320, 657, 568, 513, 3659, 540, 9553, 1848, 5415, 3688, 7498, 1432, 568, 513, 14165, 585, 942, 888, 11742, 568, 1419, 6719, 24323, 609, 519, 14165, 540, 513, 1899, 269, 1284, 12777, 1294, 513, 942, 15198, 856, 883, 519, 2104, 267, 2059, 799, 649, 1747, 519, 2621, 540, 938, 1272, 269, 634, 1899, 949, 581, 2786, 610, 17208, 269, 898, 949, 581, 835, 267, 1079, 610, 1614, 8820, 563, 8005, 11827, 1138, 850, 888, 288, 2077, 13444, 288, 2077, 13444, 22579, 519, 2165, 968, 574, 6210, 892, 547, 4766, 1018, 649, 1131, 1289, 513, 1138, 850, 269, 769, 17127, 779, 968, 305, 2867, 7595, 2223, 646, 3989, 4337, 334, 607, 519, 2259, 540, 10503, 1945, 998, 513, 6476, 547, 1945, 3116, 563, 1432, 1913, 798, 23199, 946, 888, 288, 14165, 568, 513, 4137, 540, 4633, 602, 3096, 835, 3364, 547, 1611, 1776, 543, 2306, 513, 6476, 1063, 519, 1079, 269, 634, 1883, 1913, 1934, 616, 968, 821, 3364, 547, 1611, 1776, 3034, 1432, 568, 513, 1434, 1383, 540, 513, 14165, 888, 14300, 540, 4666, 23199, 1331, 281, 968, 20995, 7314, 543, 5243, 2223, 968, 628, 992, 519, 4816, 856, 609, 519, 8602, 4248, 2223, 543, 968, 24711, 540, 4154, 1848, 2060, 513, 1434, 267, 2713, 14165, 267, 596, 1205, 602, 1187, 4090, 540, 3206, 827, 1018, 621, 1131, 1413, 899, 952, 4432, 6665, 941, 2965, 13465, 547, 513, 554, 895, 2915, 630, 1721, 1383, 1916, 1432, 568, 513, 14165, 585, 6126, 888, 2304, 1383, 540, 513, 14165, 585, 8788, 568, 968, 15711, 3333, 710, 2223, 607, 538, 519, 8360, 281, 968, 2791, 616, 1250, 24106, 2223, 799, 6920, 519, 2702, 540, 8788, 547, 3142, 14246, 547, 1776, 1268, 779, 1554, 269, 17700, 568, 20926, 607, 6010, 2287, 8788, 547, 513, 23156, 267, 835, 540, 799, 666, 581, 519, 2707, 585, 5215, 540, 1866, 563, 1432, 568, 513, 14165, 585, 4126, 888, 28775, 23199, 666, 1419, 1045, 5803, 513, 2631, 602, 972, 779, 513, 2619, 547, 1434, 1256, 538, 519, 3983, 2053, 267, 971, 607, 891, 3283, 281, 1703, 779, 1769, 693, 519, 1439, 540, 519, 15993, 269, 5272, 6531, 814, 513, 8988, 16298, 269, 634, 3141, 568, 890, 22701, 998, 519, 12269, 563, 1432, 616, 1806, 540, 23199, 543, 1138, 3796, 888, 763, 1292, 3017, 1063, 513, 1138, 850, 543, 14165, 568, 602, 513, 1138, 850, 3096, 519, 1913, 968, 3697, 892, 610, 968, 553, 892, 547, 2721, 513, 6476, 543, 513, 14165, 3274, 2829, 519, 6476, 1510, 1210, 968, 3697, 892, 610, 968, 553, 6100, 1323, 1383, 540, 513, 1138, 850, 568, 281, 2701, 568, 607, 17608, 607, 606, 21425, 269, 1323, 1383, 540, 513, 14165, 568, 281, 2701, 568, 606, 21425, 563, 1432, 568, 513, 14165, 585, 18354, 888, 338, 611, 1145, 23199, 7396, 538, 918, 7238, 11355, 4513, 630, 1220, 271, 281, 1839, 268, 2918, 2567, 590, 4696, 4959, 667, 32052, 281, 1261, 4547, 803, 1524, 609, 1010, 24616, 269, 590, 4696, 4959, 667, 2752, 298, 281, 1261, 568, 538, 513, 4158, 7099, 269, 2560, 590, 4696, 26614, 4959, 589, 11682, 22076, 13965, 11123, 4753, 281, 602, 729, 513, 15265, 9514, 269, 590, 4696, 26614, 4959, 4888, 14889, 299, 26614, 281, 2701, 729, 2295, 1606, 1157, 563, 1432, 568, 513, 14165, 585, 513, 3728, 27460, 888, 2108, 3891, 568, 513, 1750, 29609, 892, 568, 8197, 513, 14165, 267, 607, 538, 1249, 646, 568, 711, 513, 1750, 29609, 269, 968, 3891, 8255, 899, 513, 1750, 29609, 892, 568, 811, 10502, 513, 1138, 850, 267, 1256, 952, 646, 1281, 711, 5299, 1169, 851, 540, 519, 1750, 29609, 779, 2511, 540, 4881, 267, 1317, 540, 519, 8763, 6476, 1210, 899, 269, 5637, 2303, 646, 568, 3728, 269, 23657, 786, 4440, 6655, 707, 5048, 563, 1432, 616, 519, 476, 276, 1383, 540, 1138, 850, 888, 14300, 540, 3244, 3796, 4635, 2048, 12024, 685, 1261, 5654, 899, 513, 3165, 856, 540, 1216, 269, 4173, 4064, 695, 821, 899, 19987, 269, 2701, 11739, 696, 899, 513, 2845, 269, 634, 20987, 865, 1563, 899, 606, 23914, 563, 1432, 568, 513, 14165, 585, 6780, 888, 29094, 5450, 777, 1817, 568, 513, 27461, 4633, 799, 948, 606, 14165, 6476, 568, 1500, 1063, 1079, 7429, 6780, 602, 892, 338, 723, 1945, 1271, 538, 948, 269, 634, 7792, 1138, 850, 3211, 2630, 948, 1053, 1174, 1138, 3796, 543, 875, 789, 616, 1031, 538, 1893, 563, 1432, 568, 513, 14165, 585, 2576, 945, 568, 711, 1134, 1969, 539, 888, 18404, 777, 1817, 1227, 267, 596, 666, 1445, 593, 519, 9588, 610, 6708, 540, 1018, 2576, 1281, 602, 568, 4636, 610, 3983, 267, 543, 1289, 602, 1268, 513, 968, 8527, 1084, 4212, 2223, 968, 3128, 344, 9810, 892, 610, 513, 968, 17850, 986, 16014, 1848, 1411, 1522, 849, 3277, 547, 602, 1268, 607, 519, 968, 21112, 11945, 602, 24401, 2812, 519, 19619, 2223, 952, 519, 3765, 2041, 327, 3058, 1268, 1651, 2572, 1866, 547, 849, 3765, 2041, 17647, 269, 0, 24979, 830, 543, 8881, 538, 3013, 781, 5398, 12140, 281, 29120, 28454, 689, 519, 3427, 11752, 593, 17235, 543, 8881, 1496, 13449, 7824, 910, 476, 29204, 30641, 2639, 257, 24979, 830, 543, 8881, 538, 3013, 781, 5398, 12140, 281, 29120, 28454, 689, 519, 3427, 11752, 593, 17235, 543, 8881, 26564, 1271, 4681, 689, 519, 476, 1960, 280, 734, 1220, 271, 3427, 11752, 593, 17235, 543, 8881, 630, 7704, 302, 5425, 1040, 901, 3561, 6799, 5697, 3084, 9193, 540, 519, 2179, 540, 6760, 267, 5208, 267, 543, 4524, 693, 1857, 3506, 267, 543, 519, 2853, 543, 3292, 602, 3506, 946, 547, 2697, 543, 27556, 1761, 2042, 269, 13518, 540, 713, 3561, 729, 9862, 689, 9382, 602, 941, 4843, 538, 1079, 12135, 2464, 12326, 267, 20222, 538, 772, 2529, 269, 5398, 12140, 281, 476, 1220, 271, 3427, 11752, 593, 17235, 543, 8881, 630, 1220, 275, 734, 27183, 264, 610, 25824, 2209, 540, 3427, 17235, 543, 8881, 281, 476, 1220, 274, 630, 1220, 275, 734, 21916, 1040, 4578, 593, 6760, 267, 5208, 267, 543, 4524, 538, 938, 4182, 781, 3506, 616, 6394, 865, 602, 14519, 267, 3237, 267, 543, 7855, 786, 723, 1344, 547, 2697, 6932, 2042, 267, 543, 15378, 519, 3106, 540, 1977, 3506, 269, 6176, 593, 6760, 267, 5208, 267, 543, 4524, 729, 6394, 538, 519, 476, 1220, 271, 14298, 5425, 267, 513, 5619, 540, 1857, 3506, 538, 519, 2136, 2276, 267, 23032, 676, 519, 2817, 4741, 585, 4065, 10803, 630, 10998, 2464, 1040, 634, 476, 1220, 271, 9399, 302, 5425, 729, 513, 25422, 11347, 3732, 540, 476, 273, 267, 17734, 2834, 1857, 10026, 267, 1647, 267, 6281, 267, 543, 5916, 3506, 538, 519, 2136, 2276, 269, 4578, 689, 9399, 302, 5425, 2337, 547, 1683, 606, 2949, 4605, 540, 1153, 6760, 543, 3106, 538, 519, 2136, 2276, 267, 676, 6998, 1153, 21246, 1023, 827, 4162, 540, 1153, 4507, 267, 1153, 5208, 6604, 3292, 543, 2853, 267, 10795, 7972, 693, 1153, 543, 11992, 267, 4908, 540, 6760, 543, 5208, 267, 30095, 2042, 543, 3527, 267, 543, 1153, 4162, 602, 723, 1044, 2404, 609, 1153, 6760, 4799, 13233, 17072, 593, 4065, 10803, 281, 5291, 2517, 2325, 269, 539, 10993, 0, 1432, 9954, 1705, 14161, 9995, 7921, 2328, 888, 306, 663, 7921, 779, 13159, 31888, 630, 4198, 271, 264, 4607, 519, 17240, 12688, 15356, 538, 6965, 267, 543, 8659, 782, 540, 1010, 2835, 540, 6965, 281, 9628, 31888, 630, 4489, 277, 1070, 12397, 327, 23677, 619, 630, 4489 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 763, 1964, 6976, 476, 5611, 25773, 811, 692, 27784, 630, 1321, 910, 536, 264, 1535, 476, 12010, 815, 476, 12010, 271, 692, 27784, 536, 815, 476, 273, 692, 17798, 267, 1109, 1492, 1297, 540, 8695, 945, 12628, 856, 568, 476, 273, 780, 1691, 476, 14530, 272, 454, 304, 1384, 303, 267, 1627, 267, 681, 267, 590, 267, 570, 543, 772, 616, 3670, 15654, 9642, 2338, 543, 741, 3328, 568, 476, 7367, 269, 1548, 568, 519, 1587, 540, 623, 543, 772, 26042, 589, 264, 476, 21854, 273, 645, 264, 476, 21497, 275, 595, 264, 476, 23056, 280, 667, 264, 476, 29045, 280, 692, 15008, 1384, 4131, 1535, 267, 1535, 266, 273, 267, 1535, 266, 275, 267, 1535, 266, 277, 267, 1535, 266, 279, 543, 1535, 266, 1015, 616, 3670, 15654, 9642, 2338, 780, 11693, 602, 741, 3328, 568, 476, 7367, 692, 10190, 267, 1535, 1341, 1535, 266, 273, 1341, 1535, 266, 275, 1341, 1535, 266, 277, 1341, 1535, 266, 279, 1341, 1535, 266, 1015, 815, 476, 7367, 9943, 277, 692, 277, 343, 1341, 476, 1789, 815, 476, 24374, 692, 343, 815, 476, 5325, 692, 3383, 8605, 815, 476, 5325, 6398, 476, 6872, 815, 476, 29045, 280, 692, 1724, 476, 15946, 274, 454, 304, 1384, 866, 2828, 4682, 547, 513, 13962, 585, 513, 5916, 15964, 12129, 5428, 269, 476, 1724, 540, 873, 6170, 12652, 269, 476, 8064, 1142, 593, 741, 12129, 543, 519, 1964, 6170, 12652, 269, 476, 275, 811, 982, 519, 3328, 18820, 540, 782, 519, 476, 866, 269, 1548, 729, 519, 2698, 2724, 6170, 676, 873, 2496, 589, 264, 12652, 269, 476, 16928, 279, 269, 9834, 645, 264, 12652, 269, 476, 13970, 278, 269, 6021, 595, 264, 12652, 269, 476, 14917, 273, 269, 3374, 667, 264, 12652, 269, 476, 14631, 277, 269, 5881, 692, 15008, 1384, 4131, 3328, 18820, 729, 12652, 269, 681, 692, 1724, 1535, 476, 8064, 1341, 476, 277, 343, 27562, 1341, 476, 275, 264, 815, 476, 866, 305, 692, 27784, 681, 815, 12652, 269, 476, 3199, 269, 10019, 692, 13707, 2724, 815, 476, 866, 1535, 476, 3199, 269, 10019, 815, 12652, 269, 476, 14631, 277, 269, 5881, 780, 866, 476, 11277, 279, 454, 304, 1384, 763, 3328, 2085, 540, 513, 1362, 568, 476, 866, 1296, 269, 2755, 519, 3328, 2085, 540, 6690, 568, 476, 1240, 543, 602, 540, 8695, 568, 476, 2641, 269, 1403, 519, 1297, 540, 6690, 538, 519, 1362, 568, 476, 1626, 267, 4855, 519, 1297, 540, 27258, 538, 519, 1362, 2496, 589, 264, 476, 1321, 645, 264, 476, 1015, 595, 264, 476, 279, 667, 264, 476, 277, 692, 15008, 1384, 4131, 519, 1297, 540, 8695, 815, 1535, 692, 5804, 519, 2016, 1239, 10484, 27784, 1496, 2641, 343, 1341, 476, 1626, 263, 1240, 13580, 14370, 343, 266, 1626, 264, 815, 476, 866, 692, 27784, 476, 2641, 343, 910, 476, 866, 343, 815, 476, 866, 263, 1626, 264, 910, 476, 1626, 263, 1240, 2020, 27784, 476, 273, 343, 815, 476, 1626, 692, 27784, 1535, 815, 476, 279, 692, 11997, 267, 519, 1297, 540, 8695, 538, 519, 1362, 815, 476, 279, 780, 1724, 476, 16409, 274, 454, 304, 1384, 763, 1611, 540, 476, 1911, 7422, 568, 476, 2412, 269, 898, 568, 1336, 602, 606, 8343, 476, 10019, 729, 3765, 1348, 607, 476, 4366, 269, 3973, 519, 2953, 1611, 568, 26042, 589, 264, 476, 2412, 269, 3607, 645, 264, 476, 6078, 269, 2190, 595, 264, 476, 6078, 269, 10844, 667, 264, 476, 5655, 269, 4962, 692, 15008, 1384, 11693, 10484, 11743, 540, 476, 1911, 7422, 568, 476, 2412, 692, 27784, 11192, 540, 476, 1911, 7422, 815, 476, 2412, 1535, 476, 1911, 815, 476, 6110, 271, 692, 27784, 16338, 815, 476, 10019, 910, 476, 4366, 815, 476, 3607, 692, 27784, 3767, 267, 1007, 2698, 540, 476, 1911, 7422, 815, 476, 6110, 271, 1341, 476, 3607, 815, 476, 29889, 277, 692, 28557, 6399, 815, 476, 29889, 277, 270, 1911, 815, 476, 2412, 269, 3607, 692, 1626, 476, 10082, 279, 454, 304, 1384, 763, 3328, 7436, 540, 513, 2875, 538, 476, 278, 5396, 568, 476, 5952, 269, 3571, 3328, 7436, 538, 476, 277, 5396, 4849, 2296, 568, 476, 10695, 269, 1548, 568, 1010, 7436, 538, 1109, 12626, 26042, 589, 264, 476, 9032, 645, 264, 476, 7176, 595, 264, 476, 10844, 667, 264, 476, 11152, 0, 258, 26271, 2986, 589, 19940, 281, 7726, 2776, 1613, 630, 2839, 281, 476, 24487, 4817, 2020, 2162, 12989, 568, 513, 12744, 540, 519, 2055, 8659, 1369, 519, 3014, 11331, 21598, 3722, 3582, 5508, 589, 14959, 4041, 281, 26271, 2986, 589, 19940, 5149, 476, 280, 269, 6657, 2060, 15531, 26271, 2986, 589, 19940, 2060, 589, 19940, 7089, 8382, 1656, 589, 6348, 19940, 7089, 8382, 269, 1677, 1404, 3756, 1210, 713, 1239, 1305, 267, 1246, 519, 8846, 2630, 269, 6153, 9939, 543, 723, 1187, 269, 17949, 256, 1496, 2745, 891, 2055, 6540, 1432, 568, 476, 273, 270, 276, 540, 476, 278, 888, 320, 264, 476, 1691, 270, 276, 815, 476, 273, 476, 275, 270, 276, 454, 321, 264, 476, 1428, 270, 276, 815, 476, 274, 454, 322, 264, 476, 1691, 270, 278, 815, 476, 273, 454, 323, 264, 476, 1691, 270, 276, 815, 476, 272, 476, 275, 270, 276, 692, 1432, 568, 476, 1556, 270, 1321, 607, 606, 4082, 888, 320, 264, 476, 1556, 2053, 476, 1321, 454, 321, 264, 476, 1556, 5258, 676, 476, 1321, 454, 322, 264, 476, 1556, 7132, 476, 1321, 454, 323, 264, 476, 1556, 14263, 476, 1321, 692, 4517, 4319, 25173, 8096, 1240, 689, 9657, 269, 1261, 6170, 476, 272, 270, 277, 540, 519, 2724, 593, 17711, 269, 1215, 1454, 1705, 646, 6108, 888, 320, 264, 476, 272, 270, 277, 1535, 476, 1240, 815, 476, 272, 454, 321, 264, 476, 272, 270, 277, 1535, 476, 1240, 815, 476, 276, 454, 322, 264, 476, 272, 270, 277, 1535, 476, 1240, 815, 476, 278, 454, 323, 264, 476, 272, 270, 277, 1535, 476, 1240, 815, 476, 274, 692, 300, 732, 324, 814, 476, 1691, 544, 24065, 2851, 543, 3947, 476, 275, 270, 278, 2476, 269, 1215, 1082, 1705, 1352, 723, 2451, 286, 670, 842, 281, 581, 6297, 454, 320, 264, 476, 279, 2451, 454, 321, 264, 476, 277, 2451, 454, 322, 264, 476, 276, 2451, 454, 323, 264, 476, 274, 2451, 692, 300, 732, 324, 814, 476, 1691, 544, 24065, 2851, 543, 3947, 476, 275, 270, 278, 2476, 269, 1215, 1082, 1705, 1352, 2285, 2476, 888, 320, 264, 476, 275, 270, 278, 540, 476, 1691, 815, 476, 274, 454, 321, 264, 476, 275, 270, 278, 540, 476, 1691, 815, 476, 276, 454, 322, 264, 476, 275, 270, 278, 540, 476, 1691, 815, 476, 277, 454, 323, 264, 476, 275, 270, 278, 540, 476, 1691, 815, 476, 279, 692, 1432, 568, 476, 276, 1535, 476, 272, 270, 277, 888, 320, 264, 476, 276, 343, 476, 272, 270, 277, 815, 476, 276, 454, 321, 264, 476, 276, 343, 476, 272, 270, 277, 815, 476, 276, 270, 277, 454, 322, 264, 476, 276, 343, 476, 272, 270, 277, 815, 476, 274, 270, 277, 454, 323, 264, 476, 276, 343, 476, 272, 270, 277, 815, 476, 277, 270, 276, 692, 1432, 568, 476, 280, 270, 1015, 607, 606, 4082, 888, 320, 264, 476, 280, 1341, 476, 1015, 454, 321, 264, 476, 280, 5258, 676, 476, 1015, 454, 322, 264, 476, 280, 1535, 476, 1015, 454, 323, 264, 476, 280, 910, 476, 1015, 692, 1432, 568, 476, 272, 270, 274, 1535, 476, 1321, 888, 320, 264, 476, 274, 454, 321, 264, 476, 273, 454, 322, 264, 476, 275, 454, 323, 264, 476, 272, 692, 20755, 814, 476, 1015, 12897, 543, 22655, 476, 272, 270, 276, 540, 873, 269, 1215, 1082, 1705, 646, 3548, 888, 320, 264, 476, 272, 270, 276, 343, 476, 1015, 815, 476, 273, 454, 321, 264, 476, 272, 270, 276, 1535, 476, 1015, 815, 476, 276, 454, 322, 264, 476, 272, 270, 276, 1535, 476, 1015, 815, 476, 1015, 454, 323, 264, 476, 272, 270, 276, 1535, 476, 1015, 284, 476, 274, 692, 296, 723, 476, 278, 6279, 540, 18052, 543, 594, 2759, 1055, 476, 272, 270, 274, 269, 1215, 1454, 1705, 594, 2759, 1055, 888, 320, 264, 476, 272, 270, 274, 540, 476, 278, 815, 476, 278, 270, 274, 815, 476, 272, 476, 272, 270, 274, 6279, 454, 321, 264, 476, 272, 270, 274, 540, 476, 278, 815, 476, 278, 270, 274, 815, 476, 273, 476, 272, 270, 274, 6279, 454, 322, 264, 476, 272, 270, 274, 540, 476, 278, 815, 476, 274, 270, 278, 6279, 454, 323, 264, 476, 272, 270, 274, 540, 476, 278, 815, 476, 272, 270, 2641, 6279, 692, 276, 270, 277, 1535, 476, 274, 815, 15017, 320, 264, 476, 1428, 270, 277, 454, 321, 264, 476, 277, 270, 277, 454, 322, 264, 476, 279, 270, 277, 454, 323, 264, 476, 1428, 270, 1240, 692, 7617, 1281, 711, 1611, 519, 1482, 607, 476, 275, 270, 276, 1535, 476, 274, 888, 320, 264, 476, 275, 270, 276, 540, 476, 274, 454, 321, 264, 630, 275, 270, 276, 540, 476, 272, 264, 1341, 630, 275, 270, 276, 540, 476, 272, 264, 1341, 630, 275, 270, 276, 540, 476, 272, 994, 322, 264, 476, 275, 270, 276, 1341, 476, 274, 454, 323, 264, 476, 275, 270, 276, 1341, 476, 275, 270, 276, 1341, 476, 275, 270, 276, 692, 3674, 320, 659, 9575, 476, 1428, 3165, 543, 5795, 476, 273, 270, 274, 547, 1010, 14077, 269, 1215, 1082, 1705, 646, 2285, 547, 1010, 14077, 888, 320, 264, 476, 276, 3165, 454, 321, 264, 476, 1015, 3165, 454, 322, 264, 476, 1321, 3165, 454, 323, 264, 476, 274, 3165, 692, 7617, 1281, 711, 1611, 519, 1482, 607, 476, 272, 270, 278, 540, 476, 5655, 888, 320, 264, 476, 5655, 270, 278, 454, 321, 264, 476, 5655, 5258, 676, 476, 278, 454, 322, 264, 476, 272, 270, 278, 1535, 476, 5655, 454, 323, 264, 476, 5655, 1535, 476, 278, 692, 277, 1535, 476, 273, 270, 276, 21591, 320, 264, 476, 1321, 270, 276, 815, 476, 273, 476, 273, 270, 276, 454, 321, 264, 476, 1724, 270, 276, 815, 476, 273, 476, 274, 270, 276, 454, 322, 264, 476, 1321, 270, 276, 815, 476, 274, 454, 323, 264, 476, 279, 270, 276, 815, 476, 272, 476, 274, 270, 276, 692, 25440, 10632, 609, 519, 5999, 1657, 693, 5623, 29228, 313, 821, 2593, 454, 2414, 1404, 3756, 1210, 519, 2055, 689, 519, 1239, 1305, 1657, 267, 3643, 5623, 29228, 313, 821, 2593, 543, 4283, 3014, 9517, 1297, 281, 476, 24487, 4817, 538, 519, 5580, 1318, 1688, 7944, 693, 5623, 29228, 313, 821, 2593, 610, 3274, 4945, 593, 519, 3095, 1657, 713, 1257, 780, 15288, 21815, 8991, 1315, 11581, 10813, 2969, 27633, 0, 258, 6904, 568, 519, 30268, 1063, 519, 1445, 543, 1463, 3700, 2496, 19723, 23753, 269, 630, 5522, 1116, 815, 834, 3200, 1182, 8442, 1280, 513, 29236, 267, 519, 1448, 28870, 1063, 519, 1445, 543, 519, 1463, 3700, 269, 1280, 606, 31753, 267, 835, 540, 1079, 2798, 1141, 519, 1899, 602, 3568, 519, 535, 1539, 12969, 338, 519, 31753, 780, 1012, 1548, 568, 519, 3845, 1063, 519, 1445, 543, 519, 1463, 3700, 2496, 763, 1463, 3700, 568, 519, 1899, 586, 15871, 335, 269, 7102, 1448, 630, 343, 11971, 264, 593, 519, 29236, 786, 581, 519, 1482, 3845, 689, 519, 1445, 607, 621, 568, 689, 519, 1463, 3700, 269, 2334, 568, 267, 952, 546, 272, 568, 519, 3845, 689, 519, 1445, 547, 519, 1448, 593, 519, 29236, 267, 543, 546, 273, 568, 519, 3845, 689, 519, 1463, 3700, 547, 519, 1448, 593, 519, 29236, 267, 1287, 546, 272, 284, 323, 273, 780, 1012, 3657, 519, 1445, 543, 1463, 3700, 1226, 573, 9665, 689, 519, 14584, 2496, 3383, 519, 1445, 543, 1463, 3700, 616, 1226, 573, 9665, 689, 519, 14584, 269, 589, 29236, 568, 513, 30580, 540, 2798, 1226, 573, 9665, 630, 1492, 1482, 3845, 264, 689, 513, 1899, 1572, 519, 1463, 3700, 543, 1448, 1572, 519, 1445, 269, 589, 29236, 568, 513, 30580, 540, 2798, 1226, 573, 9665, 689, 513, 1899, 1572, 519, 1463, 3700, 543, 1448, 1572, 519, 1445, 780, 1012, 1548, 568, 519, 3845, 1063, 519, 1463, 3700, 543, 14584, 2496, 763, 6207, 1871, 540, 533, 568, 519, 3845, 1063, 519, 14584, 543, 519, 1445, 543, 519, 3845, 1063, 519, 14584, 543, 519, 1463, 3700, 269, 630, 763, 1129, 593, 533, 6645, 803, 799, 1259, 519, 29236, 8188, 4700, 4595, 519, 1445, 543, 1463, 3700, 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 ]
[ 799, 3323, 621, 782, 563, 4322, 1913, 5795, 803, 519, 1547, 17979, 547, 575, 2794, 2621, 267, 1289, 19375, 324, 968, 15816, 892, 543, 723, 1200, 607, 1250, 835, 543, 6760, 4670, 267, 3020, 1655, 3659, 1547, 717, 2794, 15638, 256, 7454, 2828, 616, 519, 1655, 950, 621, 2501, 547, 1373, 606, 6667, 585, 5355, 13951, 585, 519, 1732, 269, 901, 568, 1018, 19375, 324, 1500, 803, 8275, 269, 1656, 4256, 5548, 599, 769, 13870, 256, 4014, 649, 4076, 1175, 1044, 1655, 2828, 585, 585, 6135, 2621, 267, 3833, 513, 2110, 942, 267, 1352, 2907, 6766, 803, 609, 1200, 2189, 8456, 543, 4162, 269, 2701, 779, 835, 540, 519, 1292, 269, 19933, 2073, 14886, 1222, 476, 4817, 275, 9293, 1923, 476, 274, 9664, 269, 29149, 4828, 1548, 798, 596, 1589, 609, 707, 1655, 3659, 779, 5920, 267, 7209, 543, 519, 4743, 596, 723, 789, 547, 30863, 543, 4256, 10749, 267, 581, 1547, 707, 3659, 7790, 769, 1250, 6644, 267, 968, 31541, 9232, 568, 2731, 1271, 585, 575, 2794, 2621, 267, 803, 269, 594, 666, 2661, 1510, 2780, 543, 7641, 855, 594, 666, 1406, 2661, 1510, 9232, 3659, 9232, 519, 1268, 945, 568, 4687, 1250, 7099, 609, 803, 8164, 594, 6557, 6126, 610, 8909, 543, 594, 1336, 968, 615, 892, 1250, 2731, 1655, 3659, 945, 814, 8799, 5920, 2073, 1434, 7209, 543, 594, 6557, 1360, 6126, 602, 594, 666, 581, 3659, 609, 1200, 269, 3733, 1655, 3659, 568, 31946, 323, 16279, 715, 269, 12539, 8166, 2073, 28214, 2073, 14886, 1222, 476, 15782, 275, 9293, 1923, 476, 275, 9664, 563, 286, 7454, 14886, 898, 729, 1250, 2034, 1032, 1394, 693, 25756, 543, 4256, 10749, 918, 843, 517, 534, 5101, 2051, 5554, 622, 269, 3733, 1655, 1547, 3659, 17638, 543, 594, 15336, 538, 519, 1507, 15547, 9885, 269, 1280, 6135, 15638, 256, 3733, 1750, 4060, 649, 2461, 887, 1910, 2699, 1317, 621, 729, 4358, 547, 25756, 543, 4256, 5548, 599, 267, 1205, 4411, 3544, 269, 717, 2794, 15638, 256, 1306, 649, 15336, 538, 519, 15547, 519, 6926, 18291, 649, 2461, 14095, 609, 930, 1007, 8188, 543, 8069, 540, 23462, 267, 930, 5432, 8188, 269, 1280, 6135, 717, 2794, 256, 634, 15547, 6743, 1507, 693, 4828, 593, 10435, 2859, 16515, 819, 1101, 1317, 540, 782, 519, 1053, 538, 621, 855, 538, 4641, 621, 568, 2621, 5458, 256, 645, 22395, 16304, 782, 1472, 689, 519, 6760, 4670, 5026, 2319, 789, 723, 1934, 693, 575, 2794, 918, 843, 517, 534, 5101, 269, 2991, 519, 3610, 649, 2461, 8737, 269, 476, 1960, 276, 2206, 956, 2073, 476, 1220, 278, 11549, 4548, 2073, 9466, 4552, 476, 15946, 271, 9293, 1923, 476, 275, 9664, 563, 286, 306, 1506, 5055, 1530, 868, 517, 11427, 269, 28615, 1977, 22175, 476, 280, 270, 2190, 270, 1724, 1215, 594, 1558, 1250, 1655, 3659, 594, 3323, 1250, 3460, 1547, 538, 21632, 3446, 950, 594, 1558, 1250, 7911, 23136, 267, 595, 800, 269, 1284, 1558, 998, 8994, 2828, 543, 5612, 2968, 2673, 269, 1284, 3459, 16304, 856, 540, 23462, 1920, 267, 1934, 543, 585, 6135, 575, 2794, 2621, 267, 972, 609, 1895, 540, 1920, 267, 2828, 543, 5555, 8237, 1055, 689, 519, 1895, 543, 1373, 16304, 856, 4805, 269, 1284, 3459, 607, 2828, 543, 585, 6135, 575, 2794, 2621, 267, 3323, 2921, 942, 547, 1205, 547, 917, 1142, 824, 267, 693, 1101, 621, 729, 26101, 1317, 972, 7012, 1406, 1454, 547, 2911, 827, 855, 1310, 513, 1247, 540, 1373, 1472, 269, 476, 1220, 277, 2206, 956, 2073, 476, 1220, 279, 11549, 4548, 2073, 1546, 8117, 11549, 4548, 476, 15221, 275, 9293, 1923, 476, 274, 9664, 269, 4828, 2243, 2048, 2304, 1367, 779, 5872, 609, 1866, 543, 519, 1158, 1472, 873, 666, 10802, 610, 3970, 741, 2833, 540, 10362, 11313, 901, 1547, 3948, 814, 1079, 1448, 540, 5784, 538, 799, 602, 666, 9305, 547, 519, 3209, 2048, 634, 2241, 717, 3424, 685, 676, 24697, 4173, 4459, 543, 519, 6648, 2048, 25083, 525, 21462, 685, 676, 18040, 10748, 523, 269, 769, 519, 6760, 4670, 3209, 2048, 519, 2241, 10516, 685, 27711, 538, 519, 3948, 2048, 2304, 1367, 779, 5872, 609, 1866, 543, 519, 1158, 1472, 873, 666, 10802, 2833, 540, 575, 2794, 267, 10362, 685, 6466, 538, 519, 6648, 2048, 1201, 1872, 525, 21462, 685, 27711, 269, 8285, 2073, 8285, 1286, 565, 2073, 8285, 18832, 476, 15221, 275, 9293, 1923, 476, 275, 9664, 563, 296, 1558, 700, 4768, 773, 7788, 1259, 1394, 538, 29122, 9954, 5162, 267, 1164, 1153, 267, 543, 3670, 1296, 593, 267, 1352, 568, 1869, 1250, 1655, 540, 2828, 1547, 634, 1101, 1554, 649, 1547, 1558, 267, 1352, 15336, 909, 547, 803, 543, 585, 6135, 575, 2794, 267, 5189, 9887, 269, 898, 5433, 1259, 20868, 24373, 1200, 1688, 899, 6738, 5725, 798, 543, 25756, 543, 4256, 267, 30418, 1250, 2012, 547, 1200, 1310, 519, 585, 6135, 1688, 21199, 269, 853, 659, 773, 9986, 32304, 286, 30474, 2012, 269, 17235, 17912, 256, 1352, 6376, 539, 14678, 269, 901, 2673, 11505, 4847, 803, 547, 2097, 547, 575, 2794, 267, 917, 543, 1995, 513, 1377, 540, 30863, 543, 4256, 538, 13870, 267, 1582, 23930, 899, 1100, 824, 269, 2060, 1200, 594, 729, 543, 1869, 993, 8885, 269, 3776, 1164, 1153, 11505, 814, 11200, 539, 269, 7788, 10158, 2073, 14886, 1222, 2073, 3955, 26051, 2078, 476, 12893, 271, 9293, 1923, 476, 274, 9664, 269, 21931, 4828, 25441, 2659, 7454, 31541, 594, 723, 513, 7911, 23136, 945, 594, 723, 1044, 6580, 585, 476, 278, 3275, 1631, 282, 649, 3323, 1547, 1280, 6135, 256, 856, 593, 5988, 476, 1321, 267, 476, 1001, 272, 563, 14367, 2012, 568, 21469, 21780, 334, 5633, 267, 543, 594, 993, 1360, 18822, 547, 723, 1864, 607, 519, 1268, 945, 594, 2671, 1250, 1272, 609, 269, 634, 3751, 4828, 256, 4208, 286, 1284, 723, 1634, 1142, 824, 2094, 649, 941, 3670, 1296, 2025, 269, 1261, 814, 1044, 1250, 1655, 3659, 2094, 1287, 543, 2621, 267, 649, 12777, 917, 3388, 972, 568, 547, 917, 827, 1142, 824, 267, 519, 1434, 1919, 543, 849, 519, 25031, 3983, 1919, 269, 1924, 602, 2898, 968, 323, 908, 707, 1655, 3659, 9232, 568, 15470, 5162, 711, 269, 4400, 1153, 476, 14444, 274, 9293, 1923, 476, 275, 9664, 269, 3893, 563, 10673, 1406, 3956, 936, 4896, 945, 4465, 1405, 3956, 936, 585, 6135, 2621, 267, 596, 269, 4828, 256, 6153, 2828, 616, 2182, 547, 1265, 267, 9875, 547, 4734, 267, 543, 7543, 547, 7340, 269, 1411, 666, 1547, 1152, 979, 607, 2484, 607, 596, 7903, 269, 1280, 6135, 256, 589, 2388, 3717, 21514, 1457, 982, 1913, 269, 2201, 10435, 5441, 2859, 16515, 819, 22707, 16827, 256, 634, 23698, 3364, 547, 798, 568, 2621, 4585, 519, 835, 596, 2648, 267, 2648, 18825, 3116, 563, 10673, 1406, 1577, 519, 2250, 3180, 596, 1394, 267, 596, 2811, 7508, 519, 1434, 8631, 269, 5020, 779, 2110, 269, 17776, 1677, 16453, 1097, 256, 1403, 596, 1810, 1405, 1413, 1472, 2899, 538, 575, 2794, 2621, 267, 513, 1247, 596, 1522, 4413, 621, 269, 589, 1655, 3659, 568, 899, 513, 2185, 6978, 804, 1478, 267, 2182, 547, 1265, 543, 519, 3751, 4828, 267, 18822, 547, 723, 269, 1547, 476, 1220, 278, 2206, 956, 2073, 14886, 1222, 2073, 3955, 26051, 2078, 476, 15782, 275, 9293, 1923, 476, 277, 9664, 269, 3733, 7454, 31541, 268, 589, 10855, 1557, 282, 713, 729, 606, 1557, 585, 1250, 1266, 6200, 1362, 269, 1280, 6135, 15638, 256, 713, 568, 513, 1360, 10855, 1557, 827, 1250, 9393, 795, 9655, 267, 543, 30863, 10749, 267, 1018, 646, 5654, 899, 543, 575, 2794, 2621, 267, 1797, 547, 803, 269, 670, 9476, 518, 476, 272, 10127, 514, 670, 9476, 518, 6276, 2052, 333, 1621, 476, 6200, 270, 31816, 280, 476, 273, 270, 2420, 270, 4962, 3733, 1655, 3659, 2073, 513, 10855, 1557, 1547, 17235, 17912, 256, 1879, 594, 1101, 1558, 21013, 594, 7012, 1405, 22350, 24330, 269, 594, 1185, 15336, 883, 513, 670, 2393, 619, 13962, 547, 546, 710, 609, 2828, 2073, 543, 9361, 693, 519, 3349, 602, 30870, 803, 729, 21013, 269, 594, 4769, 1405, 5469, 1010, 27726, 1434, 5654, 269, 594, 4769, 1405, 23249, 547, 22401, 1524, 2390, 1010, 3376, 17525, 267, 543, 5394, 9221, 269, 594, 15991, 8068, 519, 1286, 14712, 2681, 540, 1010, 4064, 267, 6862, 1010, 23182, 812, 545, 3293, 979, 622, 324, 563, 1432, 594, 4718, 267, 729, 513, 7745, 5694, 269, 2296, 25082, 8874, 2073, 5274, 2168, 5920, 2073, 29726, 476, 25953, 9293, 1923, 476, 274, 9664, 269, 968, 296, 723, 513, 1655, 3659, 540, 519, 6587, 3023, 267, 543, 646, 1797, 519, 2898, 1158, 547, 803, 269, 1284, 2461, 711, 6580, 543, 9811, 267, 649, 798, 14902, 1927, 267, 1547, 602, 3884, 1406, 1166, 597, 1154, 267, 621, 779, 1572, 513, 24983, 269, 594, 666, 2995, 1864, 11580, 543, 646, 786, 1832, 873, 269, 594, 666, 3972, 1864, 609, 1250, 1272, 543, 585, 6135, 2621, 267, 789, 1118, 803, 12837, 593, 513, 3232, 4493, 1848, 589, 1655, 3659, 568, 2576, 945, 596, 1589, 596, 786, 723, 972, 11014, 269, 25126, 945, 3091, 741, 13105, 950, 621, 781, 7745, 267, 2576, 945, 3091, 547, 2097, 936, 1175, 1317, 596, 991, 2576, 547, 2911, 547, 269, 589, 1655, 3659, 568, 2576, 269, 476, 1220, 276, 2206, 956, 2073, 476, 1220, 277, 11549, 4548, 2073, 476, 1220, 278, 2206, 956, 476, 9873, 272, 9293, 1923, 476, 275, 9664, 269, 568, 513, 7454, 31541, 7790, 12891, 2917, 25385, 3626, 5633, 7147, 589, 2086, 282, 300, 4139, 2160, 17593, 18734, 2590, 3506, 3884, 1406, 519, 1547, 1655, 1259, 547, 1376, 1647, 1153, 267, 855, 609, 519, 948, 540, 8069, 540, 23462, 1920, 267, 513, 3659, 621, 6238, 547, 1118, 1272, 513, 2370, 1447, 2182, 269, 594, 917, 602, 779, 1018, 5280, 803, 267, 1510, 519, 585, 6135, 575, 2794, 28551, 689, 602, 8799, 7874, 8004, 594, 1131, 4076, 4440, 1185, 519, 10782, 1554, 6148, 1256, 1032, 2479, 563, 2026, 942, 5293, 676, 6760, 4670, 267, 649, 2968, 519, 1655, 540, 585, 6135, 267, 2828, 799, 3366, 1200, 547, 581, 1634, 607, 1250, 1655, 3659, 1547, 4828, 5441, 2859, 32285, 281, 22707, 16827, 256, 898, 3217, 513, 2603, 547, 585, 6135, 575, 2794, 267, 581, 2808, 513, 1655, 3659, 269, 14886, 1222, 2073, 4279, 652, 16125, 11549, 4548, 2073, 3955, 26051, 2078, 476, 12893, 276, 9293, 1923, 476, 274, 9664, 269, 7790, 3733, 1655, 3659, 12756, 594, 4076, 4956, 547, 2328, 827, 1920, 835, 540, 519, 7606, 945, 594, 917, 519, 1655, 1547, 901, 568, 513, 1547, 1268, 602, 594, 23507, 585, 1732, 543, 8338, 269, 2334, 4523, 547, 585, 6135, 267, 581, 1250, 1360, 1655, 3659, 12756, 4432, 6511, 269, 12756, 543, 594, 979, 1259, 1394, 256, 1284, 2907, 2968, 2828, 538, 9656, 269, 3776, 11299, 849, 3323, 6158, 543, 602, 1500, 621, 1256, 4443, 585, 721, 547, 581, 2828, 1547, 594, 3314, 950, 1004, 4280, 803, 952, 594, 1185, 16254, 267, 543, 594, 1131, 2141, 2626, 281, 968, 312, 2464, 256, 594, 723, 513, 2370, 11078, 5608, 1317, 602, 779, 1018, 1352, 568, 547, 1920, 267, 803, 269, 1284, 3972, 269, 2296, 25082, 8874, 2073, 4400, 1153, 2073, 5274, 2960, 2681, 476, 32542, 9293, 1923, 476, 272, 9664, 563, 299, 20084, 5308, 292, 17628, 299, 23360, 910, 15686, 11536, 6347, 312, 1948, 476, 272, 7454, 17963, 538, 585, 6135, 2621, 267, 3733, 5020, 1547, 2991, 513, 1279, 942, 594, 4682, 547, 3643, 1250, 22657, 1547, 25756, 10749, 256, 8409, 2395, 941, 1250, 1655, 2395, 538, 1250, 1272, 269, 594, 1611, 10477, 2395, 538, 575, 2794, 267, 1250, 1272, 269, 585, 519, 1101, 942, 267, 1310, 513, 1279, 942, 267, 594, 4718, 1250, 22594, 1547, 945, 941, 27086, 547, 29122, 15470, 9954, 5162, 267, 1294, 803, 1586, 1547, 3733, 22516, 5143, 803, 267, 19850, 267, 5067, 267, 596, 616, 4625, 4957, 267, 1411, 616, 7381, 267, 2960, 5500, 267, 855, 596, 616, 2178, 269, 3733, 20516, 1767, 602, 269, 476, 1220, 278, 2206, 956, 2073, 2296, 25082, 8874, 2073, 7731, 476, 11820, 275, 9293, 1923, 476, 275, 9664, 269, 7790, 23178, 31996, 320, 717, 14283, 710, 4303, 327, 6702, 4828, 8908, 1948, 272, 476, 275, 270, 1704, 270, 1001, 274, 3733, 1547, 1483, 3659, 7186, 594, 8057, 909, 538, 513, 30436, 1558, 24227, 30832, 1782, 936, 513, 1297, 540, 585, 6135, 2621, 267, 9160, 25481, 1547, 594, 2760, 22283, 856, 540, 713, 9160, 4104, 2094, 594, 729, 4535, 269, 769, 1250, 6689, 267, 9162, 543, 1164, 14482, 1013, 1670, 6191, 941, 1250, 1655, 2828 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 543, 2115, 547, 3180, 519, 15513, 5594, 2362, 909, 519, 14788, 267, 607, 1134, 607, 513, 1114, 1957, 2990, 543, 28550, 269, 2368, 2451, 26370, 1453, 798, 1265, 13002, 4101, 547, 1376, 609, 1317, 789, 6923, 1616, 547, 2721, 2786, 3515, 1318, 547, 2451, 2864, 982, 2451, 547, 1318, 563, 296, 1131, 4363, 596, 2119, 519, 1739, 267, 952, 596, 1265, 707, 2451, 26370, 5830, 616, 10010, 609, 1565, 547, 13002, 912, 11039, 519, 30018, 14812, 616, 936, 543, 649, 616, 1394, 693, 960, 543, 1153, 269, 1924, 621, 568, 942, 547, 1205, 1394, 883, 1434, 6208, 585, 519, 1715, 5729, 2336, 3383, 267, 1354, 596, 2119, 547, 5000, 707, 2370, 29593, 13530, 547, 1694, 543, 2328, 267, 1205, 873, 547, 798, 513, 1906, 2168, 13002, 2048, 310, 1301, 5455, 20113, 9957, 3502, 1152, 798, 789, 948, 547, 5965, 519, 3946, 543, 11263, 585, 519, 4305, 6619, 267, 789, 849, 948, 547, 5305, 1022, 8082, 602, 814, 3710, 909, 269, 1358, 616, 1187, 547, 798, 267, 799, 2356, 6770, 513, 12837, 543, 1419, 17409, 267, 606, 3773, 512, 4577, 547, 1022, 1565, 1995, 563, 763, 3636, 909, 5751, 666, 581, 15600, 998, 513, 1297, 540, 2081, 912, 268, 11334, 998, 519, 1543, 3296, 585, 519, 6206, 8609, 596, 616, 3450, 676, 14467, 593, 519, 29986, 3636, 909, 2238, 7735, 563, 268, 14268, 998, 519, 968, 21093, 519, 4107, 689, 3776, 19534, 892, 3296, 676, 14467, 593, 519, 4605, 896, 519, 14171, 519, 8082, 856, 540, 13002, 2140, 563, 268, 8249, 538, 519, 968, 1692, 547, 17546, 29986, 892, 3296, 676, 14467, 593, 519, 29986, 3636, 909, 2238, 7735, 563, 268, 7427, 713, 3095, 281, 4179, 2517, 4178, 269, 974, 778, 8518, 8586, 16691, 16896, 270, 8518, 8586, 2914, 1301, 5346, 7721, 2075, 2478, 11258, 454, 19352, 532, 5961, 568, 513, 1390, 1259, 547, 948, 707, 1126, 1020, 741, 840, 11804, 8586, 18116, 543, 3337, 8108, 1983, 269, 898, 568, 5863, 875, 1210, 2241, 5546, 666, 948, 596, 543, 707, 1126, 1711, 9735, 8285, 6486, 267, 5961, 610, 10516, 16776, 563, 2171, 723, 2322, 1927, 930, 2656, 1900, 676, 1900, 8285, 5373, 2093, 585, 596, 547, 2119, 1210, 2596, 5546, 971, 607, 10580, 267, 25965, 543, 12730, 563, 2171, 4126, 596, 1265, 873, 3730, 281, 5291, 2517, 4226, 269, 569, 270, 273, 299, 19241, 23623, 313, 454, 21652, 543, 9416, 8228, 666, 581, 513, 1187, 1259, 540, 3478, 707, 1126, 1031, 547, 15700, 543, 1210, 1114, 1257, 3293, 23447, 269, 634, 3860, 3693, 666, 948, 930, 1453, 547, 11883, 609, 267, 543, 1451, 547, 7753, 267, 930, 10444, 28241, 20237, 7965, 269, 9861, 6126, 8066, 3615, 2636, 873, 547, 3180, 513, 15513, 20354, 267, 3056, 547, 1732, 13002, 563, 21652, 8586, 3340, 513, 1126, 547, 4019, 519, 1318, 2179, 540, 2604, 547, 1205, 519, 15513, 7436, 540, 519, 5022, 593, 547, 519, 2985, 269, 18320, 2370, 2604, 543, 519, 1603, 568, 1419, 25861, 543, 530, 3419, 16744, 538, 5920, 630, 3697, 513, 17178, 814, 15336, 2066, 519, 2985, 1040, 18320, 5230, 543, 519, 7436, 616, 1360, 4158, 543, 666, 15237, 519, 1957, 282, 1419, 519, 1603, 5654, 2462, 267, 16070, 543, 2978, 10696, 269, 3502, 1373, 2111, 547, 4019, 519, 2953, 2604, 849, 5540, 875, 513, 1126, 6585, 519, 15513, 267, 799, 666, 2014, 519, 1688, 543, 11263, 547, 12483, 811, 3533, 267, 1818, 1603, 4247, 4101, 563, 19530, 532, 2238, 948, 707, 1126, 547, 1376, 547, 1831, 3222, 540, 875, 547, 1852, 519, 2179, 540, 2604, 789, 946, 543, 519, 1198, 602, 713, 814, 593, 519, 2298, 540, 519, 960, 3812, 269, 4804, 547, 1852, 519, 2179, 540, 2604, 25116, 543, 875, 621, 7959, 666, 581, 1360, 2352, 585, 930, 1453, 543, 621, 3217, 942, 543, 513, 2039, 540, 2833, 547, 1020, 891, 1983, 563, 2467, 616, 930, 32263, 8228, 2093, 856, 593, 519, 4950, 282, 835, 540, 1250, 19463, 1148, 2200, 568, 634, 2974, 13871, 3203, 22830, 7734, 269, 7435, 543, 9416, 8228, 666, 1711, 930, 5863, 11247, 799, 666, 581, 1031, 547, 1118, 8748, 2123, 2213, 8285, 6486, 267, 16776, 543, 1957, 563, 8005, 1223, 711, 581, 19259, 539, 676, 891, 1187, 14853, 543, 29327, 760, 6777, 5443, 610, 3775, 1231, 610, 30590, 676, 513, 1688, 1820, 21425, 888, 2690, 824, 3730, 4388, 593, 8228, 543, 4259, 909, 513, 8228, 960, 6728, 630, 10674, 2517, 4226, 269, 569, 270, 3374, 313, 278, 335, 310, 304, 16532, 2638, 856, 938, 2048, 5415, 1187, 13002, 2238, 685, 538, 938, 8249, 3296, 281, 5291, 2517, 4226, 269, 569, 270, 273, 5652, 324, 334, 274, 342, 0, 23277, 7559, 30511, 320, 540, 14205, 1195, 2008, 300, 7559, 30511, 320, 1019, 14205, 334, 807, 538, 10122, 30933, 676, 20353, 3241, 10496, 20041, 9253, 2946, 526, 14162, 454, 347, 20075, 523, 931, 677, 540, 8050, 2008, 30106, 523, 675, 1475, 273, 5437, 476, 10204, 272, 1107, 476, 1691, 5988, 476, 14378, 275, 2008, 21270, 1941, 1475, 1704, 5181, 476, 12739, 279, 2008, 305, 5819, 20066, 540, 5695, 514, 267, 14205, 1195, 454, 25238, 1221, 1475, 1691, 5988, 476, 14378, 275, 476, 1839, 264, 630, 3042, 2008, 305, 5819, 1325, 322, 1794, 541, 540, 28925, 267, 8050, 454, 347, 8967, 1787, 1475, 24589, 760, 966, 540, 8050, 2008, 347, 8402, 594, 540, 8050, 11406, 14813, 14397, 17722, 540, 8050, 454, 293, 518, 27849, 17886, 540, 8050, 454, 26180, 1430, 1475, 309, 1112, 528, 2549, 1228, 639, 4083, 267, 16099, 540, 14205, 1195, 2008, 23277, 1278, 1475, 2304, 928, 21322, 546, 262, 7775, 331, 2946, 753, 2008, 300, 7559, 30511, 320, 540, 14205, 1195, 630, 300, 7559, 30511, 320, 18637, 686, 7578, 282, 476, 1704, 5181, 476, 12739, 279, 1107, 476, 1691, 5988, 476, 14378, 275, 264, 729, 513, 15596, 931, 677, 540, 8050, 676, 7365, 547, 17722, 966, 540, 8050, 269, 2701, 19500, 607, 3204, 550, 540, 8050, 1282, 519, 9000, 540, 1200, 23947, 689, 476, 10204, 273, 2394, 476, 10204, 274, 267, 543, 1185, 1390, 3310, 936, 1864, 607, 1010, 9666, 518, 267, 1247, 1352, 729, 9887, 538, 2490, 6766, 676, 519, 11010, 806, 572, 964, 772, 3464, 1231, 563, 9515, 729, 519, 3791, 8250, 543, 2034, 17005, 1126, 540, 8841, 2549, 1228, 639, 4083, 267, 16099, 540, 14205, 1195, 543, 1010, 3943, 23899, 7385, 14732, 21322, 546, 262, 7775, 331, 2946, 753, 267, 519, 21836, 8250, 540, 10218, 324, 540, 5333, 543, 28741, 24297, 540, 4789, 269, 10801, 1200, 1272, 267, 12756, 30511, 320, 7283, 2673, 547, 1200, 4587, 11078, 12756, 1520, 11253, 728, 945, 2663, 9310, 8402, 267, 16099, 540, 26990, 1495, 344, 267, 519, 7800, 652, 1178, 2738, 517, 540, 8402, 2473, 4353, 269, 769, 1200, 6107, 267, 12756, 30511, 320, 729, 4330, 607, 22488, 543, 1187, 15962, 543, 1185, 4607, 513, 1434, 2069, 563, 24589, 760, 966, 540, 8050, 267, 513, 3943, 19036, 267, 729, 5063, 7715, 2740, 3751, 540, 8050, 2390, 519, 2669, 540, 1126, 1652, 8176, 4083, 269, 769, 1931, 547, 17997, 1010, 695, 21294, 6392, 936, 8050, 1813, 547, 1010, 3943, 4332, 267, 17722, 966, 4956, 547, 2226, 13218, 609, 8841, 2549, 1228, 639, 4083, 267, 16099, 540, 14205, 1195, 269, 17722, 543, 12756, 30511, 320, 941, 5822, 30980, 998, 8402, 2473, 7656, 269, 17722, 966, 781, 7015, 267, 8402, 267, 16099, 540, 26990, 1495, 344, 267, 1185, 9310, 519, 9632, 11078, 540, 12756, 30511, 320, 1896, 1296, 4505, 267, 543, 538, 4571, 268, 10204, 272, 267, 17722, 966, 4280, 585, 12756, 30511, 320, 781, 1688, 609, 519, 10479, 540, 1010, 22516, 8402, 2473, 4353, 563, 300, 7559, 30511, 320, 729, 12311, 676, 21285, 547, 17722, 966, 593, 476, 1321, 5181, 476, 10204, 272, 693, 519, 2085, 540, 24369, 543, 729, 26603, 9285, 547, 715, 823, 267, 21945, 972, 593, 476, 1240, 5181, 269, 2755, 538, 715, 823, 267, 1352, 729, 30870, 676, 15352, 595, 2211, 2473, 296, 945, 5795, 1200, 519, 13642, 14986, 593, 476, 736, 5181, 607, 513, 9161, 2065, 10516, 585, 519, 1762, 27959, 269, 20751, 513, 3018, 267, 1352, 30774, 689, 715, 823, 585, 25095, 525, 543, 729, 3144, 547, 30209, 269, 634, 4013, 16806, 3576, 1747, 593, 476, 273, 5437, 476, 10204, 272, 563, 24589, 760, 966, 729, 7184, 538, 2648, 609, 1200, 689, 519, 1376, 281, 607, 1131, 581, 519, 2013, 540, 1010, 1985, 931, 677, 267, 646, 729, 16770, 8200, 593, 1200, 267, 607, 1010, 3909, 1085, 745, 1255, 15286, 1864, 689, 16706, 1022, 4638, 1272, 3544, 540, 7365, 269, 2701, 729, 849, 1767, 547, 581, 1360, 4190, 543, 10995, 269, 1496, 2985, 2877, 9948, 9521, 1018, 729, 3339, 585, 513, 5053, 16313, 267, 646, 2356, 11739, 696, 538, 1200, 5127, 519, 3003, 3781, 267, 543, 29739, 2390, 1010, 17788, 531, 2924, 269, 1496, 2985, 2877, 9948, 1325, 2819, 16172, 1310, 741, 7365, 267, 519, 3943, 5605, 26513, 267, 519, 16099, 540, 12896, 2632, 4080, 547, 17722, 779, 22516, 267, 8402, 2473, 4353, 267, 602, 17722, 1131, 581, 4625, 18170, 676, 1010, 23947, 607, 1279, 607, 646, 1185, 835, 267, 513, 1867, 602, 3366, 8402, 2473, 4353, 547, 24633, 1864, 711, 547, 1450, 1010, 15596, 547, 20441, 1864, 269, 1496, 2985, 2877, 9948, 21322, 30511, 320, 568, 4330, 607, 26526, 9921, 585, 1200, 2085, 267, 20833, 5260, 11803, 267, 24808, 543, 2182, 11529, 267, 543, 1352, 814, 1044, 20295, 609, 4758, 519, 7363, 12809, 17722, 966, 519, 1648, 646, 2877, 547, 7119, 538, 13137, 269, 1496, 2985, 2877, 23378, 1103, 476, 10204, 273, 267, 17722, 966, 729, 8078, 539, 547, 4734, 8050, 547, 4339, 538, 10878, 1255, 607, 851, 540, 519, 5571, 2782, 540, 5053, 11773, 542, 269, 1496, 2985, 2877, 9948, 7628, 1200, 9393, 781, 9000, 267, 12756, 30511, 320, 19500, 607, 3204, 550, 689, 28925, 269, 2701, 729, 26916, 607, 606, 2500, 14610, 267, 2348, 6707, 8045, 1585, 2242, 538, 2229, 543, 29739, 2390, 782, 20286, 1373, 11567, 543, 5359, 1500, 1463, 547, 1200, 269, 4173, 5718, 9415, 519, 556, 32360, 538, 519, 795, 2863, 320, 543, 267, 538, 3257, 713, 267, 11121, 1004, 543, 741, 4872, 547, 1118, 23190, 2509, 519, 2112, 4674, 269, 6736, 1373, 1152, 27552, 693, 602, 942, 267, 12756, 30511, 320, 781, 2500, 1036, 1890, 1500, 1200, 25343, 538, 28925, 543, 2429, 8050, 269, 4438, 1200, 26022, 607, 1036, 550, 267, 1352, 1095, 3660, 3232, 693, 519, 12233, 540, 2229, 267, 5795, 9458, 547, 5605, 817, 611, 832, 267, 5249, 585, 3108, 609, 26110, 267, 5330, 539, 609, 17722, 543, 5249, 547, 2061, 14205, 1195, 689, 11836, 519, 10546, 563, 763, 11010, 806, 572, 964, 772, 3464, 1231, 729, 513, 4759, 540, 519, 7622, 540, 519, 10348, 269, 2701, 1131, 2226, 1390, 3310, 936, 12756, 30511, 320, 607, 1200, 6682, 732, 571, 25650, 632, 6022, 659, 1470, 2073, 8783, 540, 519, 7622, 547, 519, 15596, 269, 634, 11010, 806, 572, 964, 772, 3464, 1231, 9738, 607, 2178, 17282, 540, 12756, 30511, 320, 676, 1210, 782, 519, 2924, 540, 16133, 547, 519, 15596, 602, 1200, 2990, 13886, 1200, 547, 281, 1352, 729, 3592, 7683, 538, 519, 4527, 540, 519, 15596, 267, 10483, 1200, 16382, 1352, 4682, 607, 4166, 607, 1352, 2451, 1200, 4357, 11623, 267, 4553, 1200, 547, 519, 14643, 11401, 267, 1141, 1352, 19557, 9361, 676, 519, 2427, 22927, 282, 4553, 1200, 1394, 547, 1200, 11623, 267, 1141, 1352, 729, 1459, 693, 519, 1034, 15982, 2123, 4247, 282, 19703, 543, 3768, 7675, 1200, 267, 543, 9013, 945, 1197, 24714, 547, 2097, 883, 1200, 4527, 269, 1306, 17722, 966, 267, 14669, 547, 519, 2688, 540, 519, 942, 267, 2965, 3838, 513, 23103, 609, 12756, 30511, 320, 267, 519, 11010, 806, 572, 849, 1185, 11999, 3310, 936, 519, 4622, 607, 1134, 269, 1496, 2985, 2877, 23378, 5475, 1200, 9393, 781, 2132, 538, 476, 10204, 274, 267, 1352, 759, 25390, 1200, 1909, 607, 15596, 931, 677, 269, 769, 476, 10204, 275, 267, 519, 11010, 806, 572, 964, 772, 3464, 1231, 729, 608, 6150, 693, 519, 1931, 540, 8402, 2473, 4353, 267, 14042, 12756, 30511, 320, 269, 1717, 267, 538, 476, 10204, 276, 267, 519, 11010, 806, 572, 8120, 547, 28925, 267, 1454, 547, 519, 7772, 540, 519, 15596, 563, 300, 7559, 30511, 320, 5795, 4332, 547, 519, 7008, 781, 1101, 1126, 267, 5606, 14397, 30511, 21634, 6559, 538, 476, 10204, 278, 269, 12756, 30511, 320, 5795, 4332, 547, 1614, 811, 1453, 267, 1079, 540, 7247, 1131, 7639, 26638, 269, 27870, 519, 1439, 540, 1200, 1272, 267, 519, 10348, 2968, 2192, 269, 2701, 1131 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18877, 2713, 538, 29990, 4525, 616, 1419, 10838, 519, 30529, 543, 1034, 12790, 538, 519, 1158, 630, 18661, 1372, 1696, 620, 476, 1220, 271, 1070, 543, 1346, 945, 723, 5030, 538, 519, 19537, 330, 839, 6199, 616, 1100, 9868, 269, 1717, 267, 3255, 585, 2883, 2744, 2291, 538, 519, 6946, 4296, 1063, 5726, 2127, 267, 9235, 267, 543, 1646, 630, 300, 6702, 476, 2735, 278, 1040, 769, 1931, 547, 2263, 930, 540, 891, 4296, 267, 649, 5635, 930, 2487, 9235, 7835, 1369, 519, 9576, 715, 7614, 2817, 5244, 630, 305, 13585, 303, 264, 543, 519, 7755, 334, 1456, 631, 333, 30591, 328, 9503, 3148, 563, 305, 5819, 715, 7614, 2817, 5244, 454, 763, 681, 13585, 303, 729, 18005, 3964, 676, 519, 28393, 1017, 7245, 538, 476, 4489, 277, 267, 543, 1739, 513, 3643, 676, 519, 10424, 1920, 729, 26948, 9576, 715, 7614, 2817, 5244, 538, 476, 3707, 278, 269, 634, 535, 10642, 6288, 13315, 476, 3199, 280, 275, 688, 538, 519, 7187, 5823, 540, 519, 19537, 330, 839, 6199, 630, 8201, 476, 272, 264, 543, 568, 7307, 676, 26442, 655, 767, 334, 918, 11445, 313, 21343, 1700, 301, 7614, 13812, 630, 292, 298, 313, 301, 310, 1070, 945, 936, 5408, 519, 21621, 5726, 543, 3235, 582, 24397, 7341, 269, 634, 6288, 3091, 606, 3573, 3060, 540, 1134, 31720, 22633, 18162, 543, 3723, 12949, 338, 267, 2698, 532, 476, 7597, 5998, 540, 8795, 7411, 585, 19482, 14666, 630, 8201, 476, 273, 1040, 4039, 8271, 2048, 1575, 27360, 564, 685, 26181, 1137, 543, 669, 531, 1115, 1683, 476, 11463, 15135, 585, 16074, 14666, 693, 519, 570, 754, 25279, 3786, 630, 8201, 476, 274, 1040, 634, 6288, 849, 2488, 476, 4037, 13122, 2572, 609, 11690, 2798, 543, 705, 331, 1081, 6703, 693, 519, 10067, 2967, 543, 681, 28289, 3794, 523, 13122, 2572, 269, 9980, 8896, 547, 519, 6288, 568, 593, 1134, 1606, 793, 14006, 539, 13545, 1042, 9897, 267, 3362, 3015, 689, 519, 3084, 4155, 630, 301, 274, 1916, 300, 333, 30591, 328, 9503, 3148, 454, 763, 631, 333, 30591, 328, 9503, 568, 606, 4652, 10642, 2757, 4630, 652, 1737, 3148, 4092, 1063, 519, 681, 13585, 303, 543, 24130, 30078, 630, 8993, 999, 476, 272, 543, 476, 273, 1040, 634, 1858, 5713, 607, 606, 1271, 6952, 618, 585, 519, 6765, 540, 2973, 1216, 547, 19654, 6917, 2950, 543, 1216, 10868, 3785, 269, 769, 1840, 267, 621, 3091, 20498, 7823, 29278, 543, 18840, 1670, 543, 2686, 6561, 269, 19402, 5063, 267, 519, 1858, 729, 13950, 998, 2757, 993, 320, 301, 326, 2914, 2033, 2146, 3889, 543, 1185, 1100, 15805, 5989, 269, 634, 631, 333, 30591, 328, 9503, 3148, 814, 3976, 1044, 11658, 547, 13016, 543, 1582, 268, 23457, 19482, 543, 7045, 9235, 269, 1703, 568, 513, 3060, 540, 476, 14625, 5998, 540, 28811, 543, 936, 326, 3497, 19482, 10092, 538, 513, 2864, 2144, 10757, 5251, 630, 302, 16223, 22844, 31243, 476, 1220, 277, 1040, 2859, 5063, 267, 519, 11969, 4826, 631, 333, 30591, 328, 11565, 729, 9250, 538, 476, 1960, 280, 547, 1020, 513, 2146, 9235, 11036, 799, 1058, 1831, 1582, 1606, 20980, 1369, 513, 1906, 1296, 269, 589, 9886, 540, 681, 476, 273, 269, 273, 2929, 729, 3177, 547, 4020, 15805, 6703, 543, 1683, 2199, 2146, 2866, 538, 1585, 4143, 4610, 540, 9235, 543, 2067, 4199, 2359, 269, 634, 6364, 3976, 2484, 814, 1044, 519, 10661, 540, 519, 631, 333, 30591, 328, 6250, 3218, 4741, 267, 799, 729, 8118, 538, 5181, 476, 1220, 273, 269, 634, 631, 333, 30591, 328, 6250, 3218, 4741, 568, 7307, 676, 519, 993, 320, 301, 326, 342, 2033, 2146, 282, 782, 10274, 270, 1602, 1562, 616, 10805, 609, 519, 918, 11445, 313, 21343, 1700, 301, 7614, 21094, 16958, 543, 26886, 676, 2549, 2378, 320, 630, 1492, 21621, 2686, 6392, 282, 681, 310, 21587, 476, 1220, 276, 1040, 634, 631, 333, 30591, 328, 6250, 3218, 4741, 568, 3015, 593, 476, 2537, 5998, 540, 5266, 14605, 9738, 18574, 9897, 267, 609, 1129, 14006, 338, 693, 1152, 513, 1906, 3444, 30030, 630, 307, 24397, 918, 11445, 313, 21343, 1700, 301, 7614, 476, 1220, 276, 1916, 22033, 593, 2199, 30393, 9525, 267, 2825, 2152, 543, 8907, 12535, 729, 5833, 2047, 689, 519, 2359, 540, 519, 631, 333, 30591, 328, 6250, 3218, 4741, 543, 519, 681, 13585, 303, 267, 5097, 998, 593, 21935, 1930, 25804, 5717, 609, 6288, 2359, 269, 20677, 5515, 543, 21233, 10774, 32304, 2338, 941, 5833, 689, 519, 631, 333, 30591, 328, 6250, 3218, 4741, 543, 661, 298, 313, 301, 310, 2212, 5604, 269, 9717, 602, 519, 631, 333, 30591, 328, 6250, 3218, 4741, 814, 1152, 1044, 10512, 585, 513, 1906, 1296, 267, 1239, 941, 5833, 585, 519, 1974, 476, 1220, 275, 1700, 1220, 277, 585, 1312, 2013, 1353, 2127, 269, 5637, 2127, 2154, 519, 19169, 540, 7823, 27861, 267, 799, 1683, 1344, 593, 22874, 267, 5497, 19482, 8905, 267, 543, 1895, 2450, 269, 670, 10884, 13009, 6165, 1223, 1287, 581, 5462, 1759, 593, 1344, 8659, 538, 519, 6192, 27861, 269, 4329, 1239, 689, 513, 9235, 4879, 540, 519, 9576, 715, 7614, 2817, 5244, 3148, 729, 1031, 547, 3489, 1344, 593, 519, 1297, 540, 554, 1731, 619, 23072, 15211, 547, 519, 2549, 874, 30965, 11128, 630, 4968, 271, 544, 264, 689, 519, 13329, 514, 601, 1286, 6288, 630, 308, 11520, 290, 476, 1220, 276, 282, 7612, 476, 273, 1040, 634, 9304, 5219, 547, 1934, 568, 519, 3162, 3979, 11969, 630, 305, 476, 272, 815, 5111, 2475, 259, 476, 271, 269, 1691, 1916, 763, 7823, 27861, 540, 519, 631, 333, 30591, 328, 6250, 3218, 4741, 616, 1134, 2895, 1882, 267, 609, 2347, 10865, 5638, 689, 476, 1220, 275, 547, 5412, 476, 1220, 277, 269, 2552, 9009, 547, 6788, 267, 7823, 27861, 693, 519, 681, 13585, 303, 616, 14413, 638, 2299, 2895, 1882, 543, 616, 1152, 2139, 585, 1978, 3275, 689, 476, 1220, 276, 547, 476, 1220, 277, 269, 1717, 267, 513, 2347, 2594, 540, 21233, 2338, 8429, 998, 519, 10766, 540, 519, 681, 13585, 303, 568, 2139, 689, 4989, 476, 1220, 274, 547, 5412, 476, 1220, 277, 269, 901, 1281, 711, 8209, 5815, 519, 2698, 1297, 540, 14666, 945, 7722, 538, 19482, 2238, 267, 855, 621, 568, 2922, 547, 8263, 602, 3592, 782, 8436, 4497, 538, 2901, 2110, 1554, 15211, 610, 16074, 554, 10105, 267, 607, 972, 616, 1100, 23242, 610, 824, 9913, 6703, 1369, 519, 6288, 269, 4438, 476, 1220, 274, 267, 513, 2698, 540, 476, 6858, 267, 280, 2537, 8436, 941, 6592, 267, 799, 2799, 676, 476, 277, 260, 547, 476, 7761, 267, 18458, 676, 476, 1220, 276, 267, 855, 12628, 547, 476, 8287, 267, 21878, 538, 476, 1220, 277, 630, 8201, 476, 275, 1040, 769, 6476, 267, 519, 631, 333, 30591, 328, 3148, 4607, 476, 23056, 8436, 538, 476, 1220, 274, 267, 799, 2799, 676, 476, 10037, 260, 547, 476, 6344, 271, 8436, 676, 476, 1220, 276, 267, 1586, 21177, 5594, 547, 476, 10441, 278, 8436, 538, 476, 1220, 277, 269, 4935, 621, 1131, 3100, 602, 4352, 519, 1134, 28004, 681, 13585, 303, 5638, 15186, 2362, 21233, 2338, 543, 1869, 2833, 8589, 1279, 3856, 5993, 4679, 267, 519, 631, 333, 30591, 328, 3148, 267, 1813, 547, 922, 2487, 1646, 7341, 267, 568, 3395, 6385, 538, 8560, 607, 513, 19482, 10278, 563, 12507, 628, 569, 3466, 538, 21233, 2338, 616, 3226, 4756, 585, 519, 631, 333, 30591, 328, 3148, 630, 8201, 476, 275, 1070, 609, 4989, 10916, 476, 2641, 260, 540, 5993, 8436, 543, 1152, 476, 273, 260, 6592, 538, 5988, 630, 24629, 569, 3044, 11539, 815, 476, 276, 269, 31874, 282, 7612, 476, 275, 1040, 634, 2362, 2338, 540, 8436, 538, 4989, 267, 5147, 267, 543, 5181, 14626, 728, 609, 7013, 3979, 24596, 543, 6281, 2069, 16314, 5712, 269, 4935, 267, 10865, 21233, 2338, 547, 519, 631, 333, 30591, 328, 3148, 616, 15151, 6417, 676, 6469, 10256, 269, 634, 3148, 568, 4742, 5051, 2442, 1851, 3162, 3979, 7045, 14666, 267, 2943, 568, 5266, 7164, 543, 7654, 2808, 22247, 543, 5924, 896, 16467, 539, 676, 4914, 14666, 269, 634, 811, 3964, 681, 13585, 303, 814, 14320, 1447, 954, 18881, 569, 13260, 538, 21233, 2338, 630, 20598, 11539, 815, 476, 273, 269, 13670, 282, 7612, 476, 275, 1070, 607, 513, 1164, 6871, 630, 335, 1601, 4601, 476, 2412, 8472, 540, 8436, 616, 3486, 267, 543, 3976, 519, 6288, 568, 1447, 6417, 676, 6469, 10256, 982, 519, 631, 333, 30591, 328, 3148, 563, 763, 8901, 3270, 540, 13009, 13345, 7866, 17804, 4162, 593, 519, 2470, 540, 19482, 9235, 1063, 519, 476, 273, 4525, 689, 5130, 547, 4873, 476, 1220, 277, 630, 8201, 476, 273, 1040, 6736, 519, 8101, 3099, 540, 13009, 5121, 1369, 519, 681, 13585, 303, 267, 476, 5379, 260, 540, 554, 1731, 619, 4782, 519, 2442, 27905, 3802, 630, 2537, 5998, 5180, 7552, 1070, 15029, 476, 736, 260, 540, 554, 1731, 619, 1491, 15211, 540, 1447, 982, 476, 276, 5998, 269, 898, 1131, 2408, 602, 519, 681, 13585, 303, 568, 5097, 513, 10278, 585, 1554, 554, 1731, 619, 945, 2132, 547, 519, 3844, 22098, 543, 22742, 6703, 593, 513, 3232, 4493, 267, 538, 851, 1317, 16074, 13978, 538, 4224, 24181, 543, 512, 757, 616, 11658, 269, 8307, 554, 1731, 619, 8977, 532, 689, 519, 13329, 514, 601, 1286, 6288, 1175, 3544, 519, 681, 13585, 303, 543, 30758, 585, 519, 2549, 874, 30965, 11128, 21895, 1858, 630, 32191, 476, 4968, 271, 544, 264, 616, 2693, 547, 3207, 538, 24181, 543, 512, 757, 593, 519, 21895, 269, 634, 2549, 874, 30965, 11128, 568, 676, 2484, 519, 1034, 2442, 19482, 10278, 538, 519, 7187, 19537, 330, 839, 6199, 3148, 267, 609, 930, 476, 4037, 279, 271, 554, 1731, 619, 2921, 713, 8905, 538, 519, 1101, 476, 277, 3275, 540, 476, 1220, 277, 630, 8201, 476, 273, 1040, 769, 4334, 267, 519, 631, 333, 30591, 328, 3148, 814, 7864, 2110, 13009, 3681, 630, 24392, 8720, 3476, 9883, 264, 543, 3908, 6101, 16074, 22098, 610, 22742, 6703, 267, 2943, 12008, 538, 4224, 24181, 630, 8072, 322, 2314, 32426, 543, 512, 757, 568, 15868, 538, 519, 19069, 269, 634, 631, 333, 30591, 328, 10426, 543, 9412, 7685, 11507, 630, 8201, 476, 273, 264, 2154, 811, 8101, 7823, 324, 1359, 1995, 267, 607, 789, 4125, 14869, 22586, 13141, 1149, 267, 3476, 31939, 6362, 11507, 883, 519, 620, 18090, 7997, 267, 543, 4598, 547, 10792, 20296, 2175, 563, 10048, 1771, 543, 2883, 3889, 454, 763, 681, 13585, 303, 11392, 5993, 2229, 7616, 543, 814, 513, 21712, 2359, 2497, 269, 901, 2359, 2511, 568, 2500, 950, 6190, 7616, 568, 11292, 267, 543, 7082, 2533, 666, 581, 682, 1078, 547, 4357, 3549, 630, 292, 24346, 476, 1220, 272, 1040, 1280, 1383, 267, 519, 681, 13585, 303, 23392, 630, 6518, 568, 711, 4867, 10512, 264, 568, 27352, 682, 1078, 267, 4352, 621, 568, 593, 681, 13585, 303, 3959, 269, 10871, 12545, 723, 1044, 1305, 909, 538, 519, 3844, 3296, 540, 519, 9487, 327, 22844, 31243, 19537, 330, 839, 6199, 5244, 267, 5473, 1585, 17174, 8128, 630, 298, 313, 301, 13812, 476, 1220, 278, 1040, 1452, 12545, 616, 6462, 676, 918, 313, 301, 13812, 267, 799, 568, 519, 7598, 8116, 540, 519, 7186, 11094, 8274, 269, 16840, 540, 519, 2199, 12545, 616, 5697, 689, 519, 18005, 27648, 3906, 267, 17174, 8128, 267, 6101, 6683, 267, 6237, 9235, 267, 1870, 9922, 267, 6237, 543, 4884, 5646, 15078, 267, 2199, 8128, 267, 2825, 2516, 267, 543, 2027, 1719, 2516, 630, 298, 313, 301, 13812, 476, 1220, 278, 1040, 3962, 2199, 4604, 2306, 3664, 593, 2146, 682, 11803, 3892, 267, 2067, 5726, 2359, 267, 543, 824, 2152, 563, 7628, 519, 1055, 5498, 1783, 610, 5162, 3275, 267, 519, 681, 13585, 303, 18271, 5111, 476, 3583, 8628, 5234, 269, 1879, 519, 1292, 15805, 4005, 5956, 267, 519, 6288, 949, 2308, 476, 2004, 13680, 5520, 267, 8744, 519, 5234, 3490, 547, 476, 6344, 1004, 269, 5565, 1286, 22651, 616, 6964, 689, 2950, 3544, 519, 6288, 267, 1247, 2199, 2021, 616, 15868, 547, 6133, 18955, 13492, 547, 8436, 563, 763, 631, 333, 30591, 328, 6250, 3218, 4741, 568, 6417, 676, 513, 8274, 540, 2146, 2818, 689, 519, 476, 274, 530, 1841, 540, 519, 631, 333, 30591, 328, 9503, 21121, 630, 3674, 663, 331, 32272, 267, 631, 629, 327, 2737, 7236, 267, 543, 2494, 345, 3570, 1040, 634, 476, 277, 2173, 1897, 2146, 8274, 814, 7307, 519, 4741, 2094, 476, 1220, 274, 269, 634, 9614, 10742, 609, 519, 8274, 543, 3606, 8639, 630, 1122, 19161, 31296 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 663, 27853, 22311, 543, 824, 5122, 2472, 563, 298, 517, 657, 8123, 631, 1846, 2313, 7534, 20964, 519, 631, 1846, 2313, 7534, 11272, 5600, 342, 4100, 19007, 3718, 269, 4438, 519, 1985, 476, 3583, 1296, 267, 519, 2754, 786, 3715, 513, 21318, 540, 3549, 267, 1519, 7754, 21319, 563, 763, 21086, 2274, 1430, 7577, 568, 3964, 676, 513, 6739, 19366, 3957, 24381, 823, 5682, 6199, 547, 15814, 16463, 2472, 547, 15524, 655, 5474, 269, 769, 519, 2038, 1412, 2004, 338, 267, 24381, 823, 781, 5067, 15182, 731, 5932, 513, 16463, 24408, 1154, 3684, 267, 543, 519, 2754, 267, 799, 4166, 23194, 896, 519, 27099, 2910, 4041, 4596, 630, 26211, 585, 21086, 2274, 1430, 7577, 1070, 5956, 9513, 16463, 4739, 20164, 269, 1635, 519, 1439, 540, 519, 8717, 267, 15182, 731, 786, 723, 3710, 513, 5068, 268, 14127, 3684, 543, 519, 2754, 786, 723, 29860, 883, 519, 5068, 2914, 8172, 1790, 944, 2872, 563, 5804, 741, 25880, 13186, 267, 29733, 631, 20490, 543, 11875, 3999, 7435, 2401, 3132, 4605, 14604, 269, 1358, 2097, 909, 609, 519, 2012, 834, 300, 3430, 601, 257, 676, 9256, 5022, 689, 741, 4408, 269, 11875, 3999, 3096, 519, 29578, 689, 519, 4605, 14604, 547, 2253, 513, 2427, 1870, 1818, 6564, 5264, 11647, 563, 288, 330, 1470, 5651, 7534, 543, 16549, 541, 340, 25592, 26854, 1305, 909, 519, 19519, 17791, 20664, 7177, 7577, 269, 2991, 7487, 606, 1977, 13402, 11746, 2594, 518, 267, 5651, 7534, 16976, 1010, 2754, 1058, 2253, 1818, 873, 269, 769, 476, 4198, 273, 267, 25592, 26854, 543, 5651, 7534, 18923, 6318, 519, 1269, 1839, 267, 1822, 13927, 547, 1831, 835, 540, 519, 1101, 4914, 3549, 547, 12689, 519, 24923, 14664, 689, 13852, 6997, 338, 269, 1358, 1287, 946, 519, 24923, 547, 1711, 519, 1158, 781, 1101, 17927, 13355, 6007, 14617, 5925, 269, 634, 24923, 5925, 568, 513, 1967, 538, 3567, 267, 543, 25592, 26854, 543, 5651, 7534, 2253, 3168, 693, 6725, 741, 2472, 538, 519, 2136, 2276, 543, 2342, 269, 7464, 1944, 519, 2296, 8144, 540, 741, 2754, 2012, 568, 1932, 524, 13246, 727, 585, 2296, 18702, 1004, 547, 3314, 267, 789, 12189, 519, 5824, 2262, 5067, 639, 630, 338, 895, 264, 543, 2097, 909, 609, 590, 3415, 267, 513, 2262, 602, 814, 1100, 2495, 267, 585, 741, 1007, 9746, 2012, 563, 305, 19563, 13391, 518, 267, 606, 11653, 609, 700, 7394, 267, 513, 2754, 602, 10953, 543, 3302, 999, 1950, 4108, 23197, 11418, 267, 568, 25009, 547, 834, 28265, 519, 1655, 7641, 1305, 538, 519, 1158, 1701, 13391, 518, 5267, 789, 1039, 930, 2186, 540, 7317, 3014, 547, 519, 7641, 1305, 547, 10646, 621, 689, 824, 3549, 262, 7641, 338, 267, 855, 2359, 5337, 2803, 519, 2856, 563, 301, 583, 1154, 1234, 548, 1162, 3689, 454, 6635, 322, 1228, 11473, 10794, 454, 301, 583, 1154, 3302, 999, 476, 272, 267, 4335, 8950, 6611, 6191, 269, 634, 3334, 616, 26437, 609, 513, 476, 1724, 20878, 3109, 7146, 22554, 7641, 1305, 538, 513, 13777, 22618, 23302, 22277, 269, 634, 1101, 9095, 1228, 3381, 3014, 568, 5950, 267, 855, 519, 1857, 9060, 621, 1932, 2352, 547, 1404, 563, 289, 1122, 1231, 19007, 519, 31660, 454, 300, 1725, 822, 2135, 5956, 5663, 13391, 518, 781, 7641, 3014, 1062, 267, 799, 621, 7125, 519, 31660, 269, 9995, 619, 543, 13804, 822, 2135, 2253, 6029, 621, 547, 2733, 12781, 1472, 519, 2197, 563, 4462, 557, 2812, 3689, 5851, 11473, 10794, 454, 300, 1725, 822, 2135, 10525, 519, 31660, 693, 513, 15007, 538, 8738, 1782, 877, 267, 4993, 267, 593, 2904, 476, 2190, 269, 25326, 1154, 267, 18468, 621, 781, 519, 1152, 2754, 7231, 609, 3381, 3756, 267, 15920, 17312, 24274, 547, 1294, 519, 3684, 269, 17312, 24274, 22939, 513, 1906, 3108, 4730, 3381, 17281, 543, 824, 3756, 543, 2663, 5359, 1394, 547, 25326, 1154, 602, 646, 1336, 519, 31660, 796, 15517, 532, 543, 538, 1100, 1259, 1022, 6735, 585, 8950, 6611, 563, 20663, 6611, 1281, 711, 6133, 1134, 267, 543, 17312, 24274, 2501, 547, 519, 3932, 602, 621, 568, 1932, 2352, 547, 1404, 269, 1261, 30877, 602, 952, 646, 666, 1374, 513, 2241, 3014, 267, 621, 1522, 581, 513, 2101, 2721, 269, 1261, 28279, 25326, 1154, 267, 945, 6645, 1864, 547, 979, 6619, 543, 1374, 513, 1007, 3684, 269, 17312, 24274, 16976, 602, 2094, 646, 568, 519, 12058, 3297, 3381, 3756, 646, 1058, 1205, 513, 3677, 2671, 540, 519, 12434, 269, 1879, 646, 7569, 513, 3791, 540, 25326, 1154, 4889, 919, 543, 3085, 1405, 1205, 621, 267, 646, 3762, 519, 2754, 563, 289, 2313, 24274, 543, 667, 629, 2284, 6430, 547, 1376, 741, 1378, 2754, 547, 1374, 3381, 3756, 585, 824, 3549, 547, 15814, 269, 1358, 8385, 1289, 741, 2754, 5204, 5414, 4445, 630, 1492, 2786, 11060, 12122, 540, 1614, 18477, 4703, 1070, 855, 602, 2012, 568, 2907, 1373, 1031, 676, 513, 32072, 2754, 269, 1358, 1287, 7017, 593, 519, 2012, 2311, 926, 267, 513, 2165, 689, 519, 5545, 3014, 3619, 267, 4171, 2495, 568, 6697, 547, 834, 13765, 257, 538, 21802, 563, 303, 784, 1772, 18004, 454, 289, 2313, 24274, 554, 2231, 1325, 1325, 25468, 547, 1982, 3756, 269, 4595, 1325, 25468, 568, 538, 23024, 27624, 267, 17312, 24274, 814, 1864, 1982, 513, 2241, 3381, 17281, 3014, 607, 606, 3635, 269, 1358, 1289, 519, 3014, 623, 784, 267, 585, 1079, 4128, 281, 1101, 267, 834, 335, 784, 257, 568, 519, 3280, 519, 3014, 2306, 950, 519, 3440, 16125, 513, 31784, 610, 519, 2427, 540, 519, 5496, 267, 543, 2034, 267, 519, 2012, 623, 532, 6261, 784, 568, 2907, 10677, 539, 563, 289, 2313, 24274, 13290, 9513, 623, 784, 547, 3964, 9095, 1228, 9755, 269, 2991, 4466, 645, 958, 771, 15517, 539, 267, 17312, 24274, 16976, 547, 2344, 519, 3014, 5128, 269, 623, 784, 568, 1449, 27360, 9643, 538, 29871, 595, 1952, 338, 267, 513, 2199, 3046, 269, 10738, 1079, 4374, 519, 1449, 1770, 9397, 1524, 1317, 519, 11777, 6749, 568, 27876, 609, 20453, 269, 623, 784, 568, 513, 1967, 563, 300, 1725, 822, 2135, 1234, 548, 1162, 5851, 454, 300, 1725, 822, 2135, 23619, 519, 31660, 14311, 998, 922, 1378, 8637, 269, 4658, 616, 3366, 547, 3494, 519, 23641, 786, 1152, 960, 609, 13804, 822, 2135, 751, 4582, 2888, 269, 12846, 267, 13804, 822, 2135, 21314, 547, 6133, 476, 1911, 267, 1822, 4559, 269, 3509, 1004, 4444, 621, 1317, 621, 568, 519, 14191, 3364, 789, 666, 1205, 547, 513, 1753, 4528, 540, 623, 784, 563, 289, 2313, 24274, 3762, 2311, 926, 543, 4191, 513, 29988, 2947, 4458, 6876, 711, 547, 14526, 609, 519, 2754, 646, 3323, 269, 1261, 1207, 903, 519, 2924, 547, 623, 14040, 5384, 20989, 689, 2311, 926, 543, 5956, 23471, 2358, 621, 269, 14105, 918, 817, 541, 3587, 519, 16628, 540, 2311, 926, 563, 3725, 548, 1162, 20211, 1228, 10794, 454, 1103, 4728, 267, 715, 23734, 334, 540, 3567, 13847, 8950, 30777, 267, 513, 4956, 569, 5187, 2065, 9095, 1228, 15483, 18571, 2389, 762, 3014, 1759, 593, 519, 4604, 3014, 30777, 563, 305, 565, 3149, 20553, 20211, 3547, 454, 4263, 926, 13847, 519, 9095, 1228, 3014, 25624, 269, 634, 3014, 2934, 513, 12316, 1007, 17120, 1572, 519, 3950, 4252, 563, 3412, 7964, 10794, 547, 19468, 454, 300, 573, 3118, 20558, 6611, 12833, 19470, 689, 570, 7159, 334, 269, 6611, 12833, 19470, 3947, 596, 513, 3804, 676, 18071, 519, 1699, 1164, 6060, 585, 596, 547, 10726, 563, 13828, 25624, 543, 6611, 12833, 19470, 2736, 782, 1634, 6455, 5638, 609, 3592, 3160, 15271, 269, 1717, 267, 25624, 781, 8560, 535, 3547, 609, 519, 1439, 540, 519, 605, 11176, 4005, 269, 6611, 12833, 19470, 262, 8560, 5170, 267, 4929, 11777, 22520, 538, 3567, 543, 1153, 1854, 3599, 538, 3013, 563, 4263, 926, 2037, 1562, 8950, 454, 4263, 926, 5956, 9513, 922, 1899, 540, 476, 6110, 543, 476, 8517, 5904, 547, 14526, 1996, 11197, 269, 634, 1857, 267, 2705, 267, 27498, 2311, 926, 609, 3756, 267, 543, 519, 5904, 616, 2760, 3144, 12517, 563, 3519, 18030, 2060, 6206, 4580, 454, 300, 1725, 822, 2135, 13847, 519, 31660, 273, 267, 513, 1982, 30154, 23641, 602, 814, 513, 3710, 2987, 9245, 13691, 563, 290, 514, 14670, 16361, 13847, 6611, 12668, 267, 513, 3014, 2147, 547, 17312, 24274, 781, 8950, 6611, 269, 634, 3014, 2934, 6152, 630, 1467, 1673, 22148, 264, 12449, 269, 21070, 12449, 616, 519, 9998, 1106, 540, 20372, 12449, 547, 2408, 538, 3381, 3014, 3156, 267, 543, 789, 3668, 519, 6366, 27864, 610, 18282, 540, 2663, 12449, 563, 4263, 926, 10953, 519, 15328, 21573, 267, 513, 1688, 18988, 1982, 30154, 3684, 602, 2934, 554, 860, 2449, 1369, 519, 12449, 269, 5221, 519, 554, 860, 2449, 616, 1152, 585, 15312, 543, 1810, 1405, 1039, 547, 519, 29863, 267, 519, 15328, 21573, 568, 2760, 5950, 563, 4263, 926, 13847, 30803, 700, 6387, 267, 922, 1101, 6152, 12449, 3014, 269, 30803, 700, 6387, 23548, 1115, 589, 3122, 6950, 454, 8601, 30803, 700, 6387, 781, 8560, 267, 2311, 926, 10300, 1206, 2504, 540, 519, 3014, 543, 5956, 16089, 589, 3122, 6950, 538, 519, 30803, 700, 6387, 19970, 1115, 269, 589, 3122, 6950, 568, 513, 3014, 602, 729, 8385, 2966, 676, 700, 1803, 681, 1622, 543, 3798, 8298, 326, 585, 519, 15328, 21573, 1062, 269, 898, 4422, 593, 547, 1831, 2311, 926, 781, 782, 6066, 1655, 5498, 28705, 269, 589, 3122, 6950, 12857, 513, 1007, 4183, 547, 9095, 3547, 281, 4400, 6060, 3464, 666, 4283, 741, 1614, 7302, 541, 1461, 3355, 338, 693, 519, 1439, 540, 519, 3014, 269, 27819, 476, 3199, 267, 1822, 4559, 616, 4421, 538, 519, 2136, 2276, 267, 855, 519, 3014, 568, 1447, 2442, 538, 824, 2477, 269, 590, 9298, 13847, 3933, 23147, 13382, 267, 513, 6117, 3014, 609, 513, 1283, 16365, 5133, 267, 799, 568, 4553, 676, 519, 2147, 1160, 3933, 23147, 13382, 538, 476, 2735, 271, 543, 519, 10853, 476, 274, 291, 986, 1356, 8111, 3933, 23147, 13382, 538, 476, 2735, 280, 563, 3725, 548, 1162, 5358, 30154, 7435, 18988, 11473, 10794, 454, 300, 559, 2023, 17659, 2917, 22997, 13847, 519, 5843, 9679, 267, 513, 1688, 18988, 1982, 30154, 1770, 602, 2882, 922, 1378, 3710, 2987, 10896, 5496, 563, 1103, 341, 19470, 22067, 5851, 454, 4263, 926, 13847, 922, 12600, 1753, 4528, 540, 6611, 12833, 19470, 585, 519, 966, 5425, 269, 19833, 540, 519, 966, 5425, 6607, 13702, 564, 563, 300, 3430, 601, 22997, 12857, 519, 2271, 749, 643, 1707, 3014, 23641, 269, 634, 1101, 3978, 6735, 585, 519, 966, 5425, 267, 519, 2271, 749, 643, 1707, 814, 1732, 12449, 543, 513, 588, 2465, 704, 3902, 734, 259, 26482, 269, 20917, 601, 14767, 547, 5305, 606, 18593, 15672, 602, 786, 22010, 519, 2271, 749, 643, 1707, 23641, 883, 513, 2123, 2780, 563, 290, 1961, 1723, 1234, 548, 1162, 519, 454, 290, 1961, 1723, 13847, 519, 23045, 322, 990, 1707, 267, 513, 7047, 16466, 2861, 3014, 23641, 26255, 539, 711, 1152, 676, 9120, 12449, 543, 3280, 267, 855, 849, 676, 1489, 689, 513, 3395, 3014, 2754, 281, 715, 23734, 334, 269, 715, 23734, 334, 27121, 5213, 4486, 15158, 543, 5213, 4486, 15158, 28133, 547, 23045, 1723, 267, 799, 13847, 5140, 16627, 585, 519, 23045, 322, 990, 1707, 543, 16788, 10257, 8747, 547, 519, 2311, 926, 966, 5425, 543, 2271, 749, 643, 1707, 269, 23045, 1723, 849, 13847, 606, 740, 1986, 602, 13071, 966, 5425, 7047, 5090, 2471, 581, 5129, 593, 519, 23045, 322, 990, 1707, 269, 7464, 1944, 602, 2311, 926, 814, 6109, 1489, 689, 21601, 1723, 267, 17082, 540, 623, 659, 5336, 534, 267, 23045, 1723, 3322, 3294, 8185, 609, 590, 9298, 267, 23951, 9564, 267, 543, 17629, 630, 16031, 269, 1684, 256, 1916, 9989, 898, 14568, 454, 300, 1725, 822, 2135, 13847, 513, 3014, 1572, 918, 5861, 269, 631, 4875, 7219, 585, 519, 31660, 273, 269, 2311, 926, 632, 2114, 918, 5861, 269, 631, 4875, 7219, 547, 581, 1360, 2147, 547, 623, 659, 5336, 534, 543, 647, 525, 269, 2311, 926, 17993, 519, 27779, 267, 543, 13804, 822, 2135, 1590, 4894, 918, 5861, 269, 631, 4875, 7219, 689, 519, 2344, 563, 4263, 926, 13847, 922, 3810, 17191, 476, 18605, 271, 4528, 540, 623, 659, 5336, 534, 267, 799, 19890, 3085, 1405, 18613, 519, 9095, 1228, 3014, 693, 782, 269, 634, 1857, 3533, 3587, 771, 26067, 5896, 609, 519, 2754, 563, 4263, 926, 13847, 661, 11053, 269, 585, 519, 966, 5425, 267, 513, 3014, 20999, 8845, 654, 6702, 1177, 23553, 538, 3670, 4374, 269, 21673, 532, 513, 6133, 719, 267, 2311, 926, 27333, 9755, 811 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10042, 6641, 21620, 9731, 2691, 5395, 613, 344, 918, 2224, 341, 1080, 5652, 5747, 538, 476, 4198, 272, 267, 12672, 7322, 2968, 519, 2212, 540, 519, 19762, 560, 1537, 543, 18364, 13623, 540, 519, 570, 4120, 6229, 8535, 4741, 267, 1141, 646, 6026, 2394, 1010, 2669, 538, 476, 1960, 271, 563, 1103, 476, 4198, 272, 267, 646, 5342, 519, 11785, 6641, 21620, 2107, 3832, 14259, 1282, 519, 1158, 6566, 328, 699, 540, 8176, 594, 1407, 779, 476, 273, 526, 1623, 21620, 7868, 21917, 267, 1932, 2025, 543, 13927, 1076, 547, 7390, 519, 13447, 267, 19557, 547, 1010, 13739, 593, 519, 5925, 269, 1261, 729, 13351, 676, 519, 25981, 21200, 540, 519, 1623, 21620, 267, 2854, 1063, 476, 6245, 278, 543, 476, 5002, 272, 269, 543, 2760, 5340, 1354, 269, 10801, 1010, 4876, 267, 12672, 7322, 1705, 1454, 547, 2442, 1125, 519, 2575, 540, 713, 2189, 1977, 21917, 563, 8867, 517, 731, 12672, 7322, 729, 12912, 2575, 8689, 540, 519, 1715, 3840, 5845, 327, 1301, 4577, 538, 476, 4198, 278, 543, 4371, 713, 2990, 2394, 476, 3422, 280, 269, 1261, 6591, 21239, 538, 519, 2136, 2276, 7064, 547, 513, 4783, 540, 476, 2004, 7658, 935, 32662, 338, 585, 1762, 1004, 6896, 676, 519, 595, 7034, 8756, 602, 941, 13739, 538, 2038, 476, 4198, 271, 910, 327, 454, 763, 6566, 328, 699, 3576, 1747, 1175, 513, 1906, 4374, 1310, 646, 2968, 519, 8783, 18364, 540, 519, 1715, 3840, 5845, 327, 1301, 4577, 269, 1261, 2968, 513, 28910, 711, 1152, 1317, 540, 1010, 13007, 267, 855, 849, 1317, 540, 519, 3872, 960, 602, 646, 5342, 693, 891, 30145, 269, 2368, 540, 891, 7574, 15872, 941, 5950, 538, 8301, 19827, 267, 543, 930, 540, 873, 4607, 12896, 3240, 17758, 269, 19402, 1631, 267, 519, 4783, 540, 30145, 585, 1762, 1004, 3788, 519, 13074, 8573, 7342, 1982, 593, 8106, 2575, 2479, 2938, 593, 5010, 8613, 7868, 13739, 338, 941, 689, 476, 4198, 279, 547, 476, 3192, 273, 543, 616, 4867, 2139, 538, 23861, 3898, 563, 1103, 476, 3707, 278, 267, 12672, 7322, 10272, 20052, 2997, 643, 585, 519, 1101, 942, 543, 2094, 1287, 814, 1044, 538, 5905, 609, 519, 1004, 540, 5840, 782, 1010, 1272, 269, 769, 476, 4198, 278, 646, 4371, 606, 22305, 1116, 13447, 972, 543, 13604, 6592, 513, 2603, 269, 769, 476, 3422, 278, 267, 12672, 7322, 22283, 593, 6778, 2480, 22455, 547, 29428, 519, 22653, 2305, 540, 13243, 563, 1103, 476, 4198, 280, 267, 646, 14612, 609, 519, 32316, 540, 519, 1715, 3840, 5845, 327, 1301, 4577, 593, 513, 4663, 540, 2342, 543, 519, 8168, 5742, 269, 3487, 540, 519, 30145, 729, 6592, 676, 595, 7034, 269, 634, 1292, 2680, 540, 519, 4663, 729, 519, 2773, 676, 12672, 7322, 540, 1744, 739, 752, 990, 747, 779, 476, 276, 628, 1623, 21620, 538, 519, 4527, 540, 519, 21917, 267, 945, 22283, 593, 519, 3942, 547, 7249, 7806, 3634, 519, 18364, 543, 12372, 269, 16270, 13059, 547, 519, 2136, 2276, 267, 713, 1623, 21620, 729, 6592, 676, 12052, 19475, 693, 519, 11785, 6641, 21620, 8065, 563, 1103, 476, 3422, 271, 267, 519, 18364, 3459, 547, 1118, 519, 1101, 2347, 19827, 540, 782, 8370, 6192, 1623, 874, 23888, 540, 29775, 822, 10067, 2401, 267, 609, 519, 1489, 540, 519, 21917, 1325, 2742, 779, 30612, 269, 634, 1967, 540, 891, 19827, 267, 2059, 609, 519, 30145, 540, 15182, 731, 12672, 7322, 267, 7494, 2847, 1882, 1719, 538, 5689, 518, 267, 945, 3366, 519, 1715, 3840, 5845, 327, 1301, 4577, 689, 476, 5002, 275, 547, 476, 5002, 278, 563, 13480, 538, 21499, 454, 1103, 476, 3422, 277, 267, 12672, 7322, 1500, 1010, 26813, 538, 519, 21499, 28709, 267, 1141, 646, 5342, 7638, 10972, 781, 24415, 560, 3530, 630, 560, 3042, 676, 12359, 3626, 6250, 4186, 328, 609, 10791, 5341, 674, 29531, 268, 5327, 577, 879, 607, 24415, 560, 3530, 1916, 1103, 476, 3192, 271, 515, 8120, 547, 1491, 851, 538, 2142, 29348, 779, 32572, 2480, 1156, 330, 779, 2504, 540, 674, 14988, 1470, 269, 769, 476, 2735, 277, 267, 12672, 7322, 5342, 519, 22968, 968, 22068, 550, 9255, 892, 540, 1010, 1378, 5888, 1934, 269, 12672, 7322, 779, 3803, 24214, 6202, 547, 519, 3557, 28709, 5949, 676, 4960, 538, 476, 2735, 280, 269, 2991, 519, 2773, 540, 10609, 990, 753, 327, 577, 2088, 676, 3525, 652, 631, 1380, 3073, 20391, 267, 646, 30122, 4682, 593, 3942, 543, 554, 28289, 18364, 19863, 1470, 2806, 321, 5964, 538, 4395, 540, 513, 588, 684, 2740, 267, 855, 3365, 7596, 532, 5304, 563, 24375, 940, 538, 476, 3192, 271, 267, 12672, 7322, 10443, 519, 21499, 5845, 327, 1301, 4577, 2107, 3832, 14259, 267, 609, 799, 646, 556, 29627, 867, 539, 1082, 540, 519, 1568, 646, 1185, 5892, 5340, 693, 519, 1715, 3840, 5845, 327, 1301, 4577, 267, 1519, 519, 2347, 1623, 874, 23888, 540, 2142, 29348, 267, 10067, 2401, 267, 23347, 916, 543, 5576, 30977, 563, 9827, 538, 476, 3192, 271, 267, 646, 5206, 543, 21350, 5367, 519, 13726, 10547, 1257, 540, 513, 476, 3445, 18826, 1982, 2083, 4364, 538, 21499, 267, 799, 12286, 519, 21499, 5845, 327, 1301, 4577, 543, 971, 5159, 607, 1773, 659, 18480, 667, 4040, 334, 630, 10472, 729, 1010, 1101, 8613, 5920, 607, 835, 540, 519, 21088, 1235, 538, 2142, 29348, 779, 476, 280, 628, 1623, 21620, 15426, 634, 1982, 6566, 328, 1229, 538, 476, 3192, 271, 593, 22341, 543, 3703, 8613, 267, 543, 1287, 621, 729, 13739, 593, 595, 7034, 593, 8285, 18832, 476, 3192, 272, 563, 2005, 729, 6131, 547, 519, 11812, 540, 519, 476, 1220, 628, 16683, 540, 2142, 29348, 269, 634, 1397, 4922, 1031, 31667, 1023, 543, 519, 2773, 540, 834, 293, 14988, 1470, 257, 676, 32572, 2480, 1156, 330, 16638, 527, 6053, 267, 519, 1982, 729, 1572, 834, 6826, 29348, 781, 17510, 1485, 281, 589, 9919, 30503, 1674, 538, 21499, 1701, 2701, 4465, 606, 2506, 3240, 267, 855, 729, 13739, 1152, 2899, 593, 1977, 8613, 269, 634, 10916, 729, 6854, 593, 519, 595, 7034, 8756, 2394, 621, 7902, 16172, 1310, 519, 2669, 540, 12672, 7322, 896, 519, 1007, 2012, 12672, 7322, 593, 2142, 29348, 281, 634, 9919, 30503, 1674, 538, 21499, 269, 634, 2594, 729, 5612, 5950, 593, 2756, 582, 1901, 267, 543, 538, 476, 1220, 276, 910, 593, 23861, 563, 299, 624, 999, 693, 12370, 454, 1103, 476, 3192, 274, 267, 12672, 7322, 729, 14376, 547, 1491, 519, 1747, 540, 8176, 18379, 582, 17368, 517, 538, 1010, 620, 2742, 544, 831, 910, 12370, 2160, 269, 3371, 646, 1224, 476, 277, 15872, 593, 2575, 269, 15182, 731, 12672, 7322, 267, 24228, 519, 2140, 689, 519, 960, 540, 8176, 2372, 1550, 267, 1572, 519, 4783, 834, 4462, 753, 26833, 7726, 1701, 1677, 5659, 543, 5635, 7574, 25481, 609, 1893, 267, 646, 1031, 519, 16166, 689, 2413, 23316, 630, 14140, 540, 782, 267, 3143, 600, 932, 1682, 5652, 1040, 700, 624, 999, 616, 12873, 538, 1433, 1106, 543, 593, 23861, 563, 10702, 18364, 781, 960, 454, 1103, 476, 3192, 279, 267, 519, 2504, 540, 32572, 2480, 1156, 330, 834, 293, 14988, 1470, 2580, 799, 729, 5342, 676, 12672, 7322, 630, 8117, 609, 513, 1114, 5641, 1070, 729, 2083, 4364, 676, 5149, 601, 269, 6145, 519, 2142, 29348, 1397, 267, 621, 729, 3254, 593, 589, 1299, 661, 1310, 1010, 2669, 267, 543, 1287, 5950, 593, 2756, 582, 1901, 563, 1103, 476, 3192, 280, 267, 12672, 7322, 5342, 519, 12670, 5845, 327, 1301, 4577, 2107, 3832, 14259, 585, 1079, 17493, 30145, 585, 519, 1101, 543, 1152, 942, 2529, 8233, 3415, 3143, 269, 476, 280, 10067, 2401, 729, 13739, 593, 5925, 267, 1310, 799, 621, 729, 5950, 593, 7131, 269, 769, 476, 2735, 271, 267, 15182, 731, 12672, 7322, 4607, 519, 17394, 4741, 13815, 563, 1103, 519, 476, 2735, 271, 338, 267, 646, 729, 513, 18364, 543, 6085, 1807, 593, 513, 3126, 540, 3292, 593, 519, 32282, 8756, 827, 2142, 29348, 781, 2575, 267, 538, 799, 519, 21499, 5845, 327, 1301, 4577, 5129, 782, 476, 280, 540, 1010, 1623, 874, 23888, 267, 1896, 540, 1010, 16765, 999, 543, 519, 1924, 12661, 333, 7136, 269, 634, 1982, 849, 3238, 519, 17076, 7665, 574, 27482, 2480, 17850, 267, 945, 14509, 519, 5022, 540, 2142, 29348, 563, 18431, 1296, 540, 1272, 454, 4002, 8285, 4303, 476, 2735, 280, 267, 12672, 7322, 5342, 2142, 29348, 779, 476, 280, 628, 1623, 21620, 538, 5101, 12670, 547, 8661, 519, 2887, 540, 519, 12670, 9931, 269, 634, 13447, 729, 13739, 2661, 538, 476, 736, 2477, 585, 476, 1911, 2929, 1004, 563, 8867, 517, 731, 12672, 7322, 5747, 476, 276, 2395, 1310, 519, 23318, 540, 1010, 16468, 269, 3571, 2063, 2773, 3576, 1747, 538, 570, 4120, 6229, 593, 4864, 476, 866, 267, 476, 1960, 271, 267, 950, 519, 11785, 6641, 21620, 5340, 476, 275, 954, 331, 26360, 676, 18148, 2826, 1084, 543, 2142, 29348, 781, 476, 278, 628, 1623, 21620, 563, 289, 1716, 7322, 568, 12617, 538, 1715, 3840, 781, 5682, 8862, 797, 28200, 1985, 547, 1010, 7385, 563, 289, 1716, 7322, 814, 1044, 3238, 538, 2451, 26310, 5322, 2094, 519, 476, 3707, 271, 338, 269, 769, 519, 2038, 476, 4198, 271, 338, 267, 646, 729, 3109, 4289, 539, 676, 519, 3557, 4972, 543, 519, 595, 7034, 8756, 267, 855, 713, 1705, 711, 1860, 1010, 4876, 563, 763, 3742, 5289, 1272, 540, 15182, 731, 12672, 7322, 3769, 7589, 538, 519, 2686, 4838, 540, 519, 3735, 476, 3422, 271, 338, 269, 1261, 606, 13499, 1082, 950, 646, 10645, 602, 782, 2575, 267, 4849, 585, 2442, 267, 729, 2025, 1922, 5831, 539, 269, 3571, 2797, 2238, 941, 849, 22309, 269, 1879, 538, 476, 3192, 271, 1010, 7385, 6659, 2724, 585, 519, 17119, 626, 3979, 12677, 1895, 4563, 23202, 1667, 267, 12672, 7322, 729, 15034, 540, 4550, 4149, 30146, 269, 23549, 538, 519, 2046, 723, 12517, 8697, 1010, 10639, 269, 1261, 849, 10353, 519, 10476, 2782, 269, 11086, 267, 519, 31440, 3459, 547, 6895, 922, 2238, 563, 12041, 640, 1851, 12372, 454, 289, 1716, 7322, 607, 513, 18364, 729, 3810, 15874, 676, 1082, 12372, 267, 1519, 2818, 540, 519, 21499, 5845, 327, 1301, 4577, 2107, 3832, 14259, 630, 515, 729, 1010, 8956, 776, 4759, 1070, 519, 5507, 6641, 21620, 630, 515, 729, 5697, 607, 513, 31444, 622, 18364, 264, 543, 519, 5840, 5845, 327, 1301, 4577, 630, 3602, 646, 729, 513, 8628, 16823, 18364, 1040, 1261, 6913, 2027, 19870, 538, 519, 1568, 540, 10067, 2401, 267, 10515, 1633, 267, 23347, 916, 267, 1744, 739, 752, 990, 747, 267, 717, 619, 327, 7773, 12462, 305, 4257, 1328, 538, 9791, 892, 543, 968, 13563, 538, 8303, 14615, 543, 267, 540, 1576, 267, 1010, 1378, 563, 5804, 519, 476, 4198, 271, 338, 547, 519, 476, 2735, 271, 338, 267, 12672, 7322, 32524, 14916, 609, 10916, 801, 3930, 16638, 1840, 547, 1896, 2038, 19827, 585, 681, 7563, 8841, 267, 646, 5631, 5249, 609, 968, 8624, 4861, 807, 5608, 2523, 1282, 519, 1974, 950, 646, 729, 519, 2575, 8689, 540, 519, 1715, 3840, 5845, 327, 1301, 4577, 269, 3509, 540, 891, 18531, 941, 25274, 5950, 543, 1065, 21242, 676, 590, 3415, 607, 851, 540, 519, 12672, 7322, 11416, 3126, 269, 1879, 12052, 4503, 1719, 538, 10916, 1977, 8106, 2575, 267, 519, 18364, 9896, 606, 12600, 4579, 609, 4436, 18638, 1546, 583, 22385, 12896, 332, 2684, 517, 267, 799, 16768, 2394, 1010, 2669, 563, 8867, 517, 731, 12672, 7322, 9310, 957, 816, 689, 16266, 21634, 545, 807, 22757, 531, 1122, 516, 538, 5181, 476, 4198, 272, 269, 901, 729, 2944, 547, 7006, 601, 32422, 543, 2333, 519, 8458, 540, 1373, 9516, 585, 513, 1713, 18364, 781, 2990, 267, 2094, 519, 5718, 540, 519, 32316, 729, 15061, 269, 769, 513, 4484, 547, 1200, 9393, 267, 21634, 545, 807, 1572, 1864, 606, 1651, 528, 3419, 1043, 28305, 269, 901, 729, 849, 9672, 676, 2828, 543, 8004, 325, 12188, 540, 513, 4583, 18364, 543, 21917, 563, 3719, 519, 1292, 1974, 540, 24187, 538, 519, 12092, 540, 15182, 731, 12672, 7322, 3459, 538, 476, 3192, 277, 267, 950, 646, 4956, 602, 646, 1223, 1100, 3476, 12404, 1010, 10066, 269, 1261, 2451, 1010, 7385, 585, 519, 7574, 9375, 540, 519, 8106, 2575, 5925, 6728, 538, 5842, 12770, 8751, 918, 582, 1066, 7868, 1739, 1032, 267, 21634, 545, 807, 729, 8995, 609, 5761, 2860, 267, 543, 1200, 9393, 8120, 547, 1200, 2394, 1352, 5747, 593, 476, 6187, 270, 1626, 270, 3192, 279, 269, 1261, 1419, 12038, 827, 1010, 13337, 563, 7197, 540, 519, 22808, 540, 15182 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3211, 5431, 10250, 1820, 1863, 585, 23021, 5546, 563, 341, 3211, 25777, 4484, 4976, 585, 1603, 1863, 23021, 840, 737, 2979, 563, 11779, 7124, 7792, 3211, 1863, 642, 585, 23021, 840, 737, 2979, 563, 531, 8224, 4484, 6968, 642, 4976, 9251, 1863, 3211, 585, 23021, 2979, 563, 335, 27348, 4484, 6474, 642, 4976, 1863, 3211, 585, 23021, 9656, 7005, 26897, 563, 8586, 4976, 585, 20854, 17681, 1655, 4484, 533, 3211, 1863, 642, 23021, 9656, 5022, 563, 12072, 642, 3211, 1863, 585, 23021, 9251, 2979, 2759, 543, 13594, 563, 13440, 1758, 1125, 26627, 27664, 543, 27608, 4484, 642, 3211, 585, 1863, 23021, 9251, 678, 563, 16451, 7792, 9251, 3211, 16439, 5022, 31369, 642, 585, 23021, 7005, 563, 15479, 633, 5022, 3211, 7792, 1863, 1451, 547, 2328, 642, 585, 23021, 9251, 2338, 476, 277, 476, 1015, 563, 16451, 7792, 25777, 4484, 642, 4976, 3211, 585, 23021, 9251, 2257, 7824, 563, 12072, 533, 3211, 585, 9251, 1863, 642, 23021, 28581, 2759, 543, 13594, 563, 30976, 4484, 3280, 3211, 1863, 642, 585, 23021, 1187, 9656, 2979, 563, 16451, 4484, 642, 798, 513, 12297, 585, 2013, 15285, 3211, 23021, 9251, 1603, 7824, 563, 16451, 4098, 4992, 3211, 585, 5022, 579, 642, 530, 1535, 586, 543, 1990, 23021, 2979, 563, 330, 1749, 7792, 3211, 4484, 642, 610, 326, 26627, 27664, 16439, 4976, 1863, 585, 23021, 7824, 563, 11779, 7124, 3211, 4484, 642, 31369, 1655, 1362, 1863, 585, 23021, 561, 563, 3712, 1681, 1655, 9904, 3211, 585, 9656, 1863, 642, 23021, 9251, 2338, 476, 272, 476, 276, 563, 26078, 1041, 3211, 7792, 4976, 1655, 1863, 642, 585, 23021, 2338, 476, 272, 476, 736, 563, 12072, 642, 3211, 1863, 585, 23021, 9251, 533, 563, 12072, 512, 7792, 5022, 585, 3214, 3211, 13002, 9904, 1863, 642, 23021, 4976, 4819, 2979, 563, 12072, 642, 3211, 1863, 585, 23021, 9251, 678, 563, 531, 8224, 31959, 4484, 642, 3211, 543, 2534, 10372, 1863, 585, 23021, 13004, 563, 14048, 3211, 1451, 4484, 642, 4928, 795, 337, 9251, 1863, 585, 23021, 2338, 16439, 563, 11779, 7124, 7792, 3211, 1863, 642, 585, 23021, 4976, 4819, 2979, 563, 1492, 9904, 4484, 546, 4976, 1863, 7792, 3211, 642, 585, 23021, 12297, 563, 16451, 7792, 4484, 642, 3211, 585, 9656, 9251, 546, 23021, 563, 6919, 4358, 609, 4484, 642, 1863, 3211, 585, 23021, 9251, 552, 563, 16451, 7792, 4484, 642, 3211, 585, 9656, 9251, 23021, 7005, 7824, 563, 531, 8224, 3211, 585, 9251, 1863, 4484, 536, 543, 546, 30729, 642, 23021, 1603, 7824, 563, 12072, 642, 4098, 3280, 2681, 5961, 4976, 9904, 1863, 3211, 585, 23021, 1187, 2979, 563, 12072, 2013, 6284, 4976, 642, 1863, 3211, 585, 23021, 737, 636, 517, 7005, 563, 12072, 642, 3211, 585, 9251, 9656, 1187, 609, 544, 4821, 1863, 23021, 552, 269, 0, 29910, 729, 519, 8789, 4137, 538, 519, 3979, 1977, 2146, 689, 476, 6245, 271, 547, 476, 4489, 276, 267, 2523, 1310, 646, 6913, 23146, 585, 1010, 24611, 14207, 540, 476, 6245, 276, 269, 6519, 3401, 538, 6214, 543, 24960, 344, 5431, 1864, 607, 519, 22557, 17367, 585, 3979, 1977, 4961, 269, 11724, 532, 519, 2063, 5108, 540, 3109, 3401, 4535, 883, 8474, 267, 646, 729, 23674, 950, 6340, 1857, 344, 543, 5275, 3872, 9283, 585, 1346, 15685, 5443, 945, 1185, 7283, 538, 1715, 3162, 538, 606, 11552, 6470, 2034, 11665, 2078, 609, 16543, 896, 519, 968, 297, 574, 18844, 892, 1062, 540, 5302, 27935, 3506, 543, 6009, 269, 1261, 3710, 1010, 5718, 540, 519, 3979, 1977, 2146, 18487, 998, 513, 3060, 540, 4295, 18793, 1519, 3109, 7855, 267, 26110, 267, 15769, 267, 543, 1870, 2367, 269, 1261, 6591, 1569, 547, 1283, 3084, 3401, 538, 6214, 267, 24960, 344, 267, 543, 2069, 543, 729, 30039, 8956, 776, 5232, 267, 13915, 1572, 1010, 3267, 1613, 1647, 540, 519, 3561, 2483, 7343, 30068, 17251, 547, 1082, 24379, 1514, 2175, 538, 519, 2110, 2165, 267, 646, 849, 5693, 1185, 1010, 4064, 593, 513, 1732, 2104, 267, 585, 17051, 269, 3414, 1010, 1378, 2123, 1995, 267, 3220, 269, 6115, 6785, 602, 513, 1434, 2069, 568, 519, 2101, 543, 1379, 1907, 585, 2043, 547, 15217, 9585, 602, 1732, 2104, 563, 29910, 779, 6138, 543, 12483, 1652, 960, 593, 2069, 2152, 5280, 1864, 21821, 269, 5637, 519, 5837, 543, 13455, 2883, 1489, 540, 1082, 24960, 1235, 269, 1261, 2968, 2828, 609, 2929, 320, 2231, 971, 607, 9208, 13813, 3172, 622, 8361, 670, 269, 29124, 543, 590, 8986, 267, 681, 4141, 1433, 543, 7577, 5518, 25840, 25347, 9546, 323, 269, 1358, 14102, 1010, 3123, 267, 2523, 538, 2069, 269, 1677, 22010, 519, 3506, 1930, 547, 17051, 267, 6115, 1514, 1242, 6634, 540, 13362, 267, 1419, 1210, 12805, 7482, 602, 20533, 2199, 7418, 269, 6115, 779, 1062, 3964, 543, 13234, 936, 476, 276, 267, 1822, 3506, 543, 5885, 973, 13415, 2429, 519, 3162, 269, 901, 960, 729, 513, 2101, 851, 540, 1010, 9371, 543, 729, 4797, 2244, 9450, 998, 519, 14986, 342, 12245, 2508, 543, 1866, 585, 1082, 1296, 1310, 6115, 779, 2669, 538, 476, 4489, 276, 563, 29910, 729, 519, 3844, 4137, 538, 5355, 519, 2949, 11505, 543, 2324, 2078, 1063, 519, 14797, 538, 519, 2136, 2276, 543, 2212, 1176, 1055, 519, 968, 15463, 1066, 341, 13083, 892, 10168, 540, 2539, 1362, 16543, 6829, 998, 561, 2106, 4221, 543, 3366, 676, 5484, 570, 650, 2006, 269, 3571, 3532, 26249, 267, 909, 689, 8474, 630, 5002, 272, 264, 729, 4922, 1224, 1851, 17051, 543, 25091, 16543, 269, 898, 5143, 519, 1650, 540, 1010, 1378, 31414, 267, 2069, 543, 3811, 4876, 547, 8300, 7013, 17051, 267, 945, 1185, 1044, 17792, 4316, 585, 2069, 543, 1582, 267, 6454, 269, 1261, 5645, 519, 1482, 6249, 4464, 538, 519, 1650, 540, 519, 715, 9950, 14371, 10611, 20166, 269, 634, 4473, 540, 519, 5198, 689, 8474, 630, 5002, 280, 1040, 6115, 538, 4334, 547, 519, 3540, 8573, 2074, 19191, 899, 13660, 289, 12251, 543, 519, 19364, 3722, 303, 267, 632, 655, 3508, 1242, 6214, 538, 3870, 540, 519, 2956, 540, 14237, 1647, 1362, 6208, 540, 5578, 267, 2872, 4278, 3424, 543, 1915, 865, 602, 17051, 2348, 8600, 2933, 2069, 958, 543, 15520, 585, 3743, 267, 1131, 581, 7608, 676, 12666, 16543, 607, 5789, 1746, 3540, 8573, 2074 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 6355, 9442, 1315, 20821, 902, 1299, 10558, 725, 1315, 4578, 10439, 1436, 585, 10558, 619, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 32468, 11868, 6145, 513, 1160, 910, 9669, 585, 8479, 29661, 692, 5970, 596, 2479, 4941, 1945, 865, 21354, 855, 7948, 1405, 3833, 18609, 2576, 547, 2285, 621, 547, 596, 286, 2107, 6148, 972, 729, 513, 3510, 1141, 1079, 540, 707, 2828, 1312, 4941, 519, 1482, 11442, 267, 543, 789, 1175, 7948, 1405, 3858, 593, 945, 1131, 1205, 621, 269, 2334, 781, 950, 19908, 2501, 538, 256, 32468, 2747, 1797, 6158, 1919, 936, 2394, 3025, 3238, 666, 2097, 909, 609, 513, 3070, 602, 1568, 585, 873, 269, 898, 781, 899, 8380, 1927, 4773, 540, 513, 11015, 2394, 3388, 13352, 9985, 780, 1103, 519, 1158, 540, 1870, 267, 19908, 4249, 513, 2629, 1909, 538, 8108, 12352, 543, 9388, 269, 4653, 649, 786, 1451, 827, 1114, 2994, 1031, 676, 3811, 1004, 1572, 1412, 1117, 613, 2508, 9946, 8339, 1358, 946, 891, 1983, 1169, 1554, 547, 4383, 2462, 9541, 543, 948, 741, 7218, 7118, 811, 2724, 269, 5213, 1405, 5855, 282, 649, 4465, 1405, 4685, 883, 1950, 2883, 2474, 1934, 269, 5502, 267, 1577, 781, 1445, 593, 930, 1898, 19908, 2553, 602, 666, 4324, 4896, 1107, 1519, 596, 2439, 272, 269, 19369, 568, 6206, 912, 6524, 27410, 4376, 267, 798, 707, 1382, 256, 13760, 1018, 1866, 1616, 856, 540, 713, 4308, 543, 1589, 827, 1018, 9358, 1616, 1932, 269, 5994, 1373, 693, 513, 19209, 4904, 609, 9162, 269, 1403, 596, 2731, 1616, 602, 21743, 1007, 3440, 267, 1101, 1265, 856, 1946, 707, 3659, 6499, 621, 1932, 630, 16673, 2041, 789, 991, 621, 585, 741, 3014, 1040, 3973, 2015, 1018, 596, 1223, 2709, 873, 3079, 630, 704, 4257, 1776, 3579, 11442, 264, 799, 1522, 1869, 1118, 645, 30862, 540, 596, 6126, 780, 273, 269, 13068, 9442, 912, 6826, 1930, 267, 9237, 267, 543, 2312, 827, 707, 15752, 269, 2422, 7874, 1893, 543, 2226, 3750, 3346, 269, 11512, 707, 4555, 25401, 543, 7479, 553, 1947, 269, 5457, 267, 1434, 2792, 3884, 1405, 1152, 827, 6340, 1134, 282, 6947, 5402, 568, 8449, 1271, 269, 1924, 6432, 8362, 267, 2307, 2055, 267, 543, 1397, 6568, 2509, 519, 824, 1268, 781, 5133, 780, 274, 269, 21253, 2225, 25198, 912, 15919, 267, 4566, 1689, 267, 543, 602, 781, 15502, 256, 9861, 8465, 1282, 16395, 2636, 4055, 585, 14207, 269, 2913, 781, 2161, 596, 7620, 4941, 1614, 12897, 1310, 12899, 267, 855, 707, 2385, 3091, 1152, 1079, 269, 6184, 12371, 593, 2348, 1614, 949, 2014, 24895, 269, 1809, 11021, 513, 4123, 11325, 899, 3063, 1404, 5503, 3544, 1223, 1291, 547, 513, 3094, 2914, 514, 6364, 780, 275, 269, 8058, 30151, 912, 14582, 10079, 538, 3054, 543, 707, 5759, 269, 4658, 4431, 9797, 547, 6015, 269, 1717, 267, 3314, 711, 547, 25657, 6015, 609, 818, 5766, 766, 269, 11408, 2463, 519, 8369, 543, 4606, 540, 1346, 1472, 596, 1247, 7555, 6109, 593, 707, 2666, 780, 276, 269, 6056, 7043, 12910, 912, 306, 22066, 21963, 2508, 9946, 917, 602, 2679, 2178, 3347, 5012, 547, 1732, 3255, 1524, 519, 1899, 269, 4634, 952, 513, 1880, 19908, 3085, 1405, 979, 4010, 607, 9709, 267, 4509, 513, 2318, 10182, 543, 8156, 3025, 9425, 5849, 3972, 3788, 16856, 269, 3683, 942, 267, 891, 4296, 6961, 6225, 538, 1082, 2081, 780, 4131, 781, 2259, 1210, 891, 1983, 998, 513, 1187, 9183, 269, 23239, 754, 596, 543, 707, 15032, 723, 1044, 9494, 909, 547, 4444, 513, 1007, 4604, 3014, 585, 12424, 269, 3767, 267, 1079, 3756, 1942, 519, 3169, 2179, 540, 2724, 596, 6394, 269, 2290, 1895, 6499, 519, 4640, 3014, 267, 1247, 519, 1866, 4782, 519, 7045, 3014, 269, 4635, 938, 9241, 4121, 19908, 4388, 267, 2119, 8757, 513, 13618, 602, 25389, 3025, 269, 6153, 9939, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8368, 540, 12937, 454, 268, 1548, 1772, 513, 670, 8354, 8750, 888, 268, 1215, 670, 8354, 8750, 338, 5269, 14559, 454, 268, 670, 8354, 8750, 338, 5288, 269, 4033, 20971, 8750, 338, 454, 268, 9537, 540, 670, 8354, 8750, 11150, 454, 268, 18370, 543, 3117, 540, 30799, 538, 670, 8354, 8750, 338, 454, 268, 18567, 540, 4400, 569, 21988, 670, 8354, 8750, 2494, 6162, 454, 268, 1215, 547, 3399, 513, 670, 8354, 8750, 454, 268, 1215, 547, 5700, 952, 513, 670, 8354, 8750, 19396, 1772, 9406, 585, 1411, 454, 5331, 602, 596, 543, 1896, 2828, 6430, 547, 9192, 707, 2724, 1927, 547, 1902, 538, 513, 1870, 269, 1411, 782, 8917, 593, 945, 1058, 581, 707, 968, 325, 1495, 9614, 2223, 519, 1268, 3743, 585, 7446, 519, 4213, 596, 1902, 538, 269, 5221, 596, 2461, 2111, 547, 1902, 513, 3152, 2179, 540, 2724, 1927, 982, 596, 8910, 581, 2111, 547, 1902, 14350, 267, 596, 1118, 513, 8273, 2132, 593, 707, 5092, 269, 901, 568, 513, 2241, 1383, 540, 875, 21963, 7482, 960, 563, 29973, 569, 267, 21963, 7482, 616, 2010, 540, 5092, 20115, 267, 610, 968, 332, 2292, 17428, 2223, 602, 1450, 1896, 2043, 610, 5238, 547, 2322, 741, 2724, 1927, 609, 519, 3804, 540, 1818, 607, 1454, 7443, 607, 2009, 269, 1548, 5036, 21963, 7482, 6306, 689, 824, 7482, 267, 971, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27078, 582, 2747, 10341, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 6355, 9442, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5149, 476, 278, 281, 7087, 28358, 584, 3359, 543, 5384, 13488, 619, 262, 2372, 3949, 692, 1103, 713, 1770, 267, 649, 786, 5490, 883, 519, 4241, 7706, 540, 6805, 13777, 584, 1143, 998, 519, 7828, 540, 2257, 5708, 543, 942, 2951, 6386, 269, 1284, 786, 2263, 875, 6805, 5830, 946, 23019, 5708, 547, 19424, 4244, 20304, 543, 29379, 741, 2686, 6561, 269, 901, 1770, 11363, 519, 2956, 540, 6041, 267, 16285, 267, 543, 28160, 1436, 1369, 23019, 9423, 1247, 2502, 609, 4207, 27964, 1472, 3961, 6214, 543, 1514, 5126, 780, 4089, 476, 272, 281, 4197, 7087, 28358, 584, 3359, 692, 29378, 13777, 584, 1143, 4016, 547, 513, 3395, 1560, 540, 5339, 267, 7499, 267, 543, 7214, 1568, 3812, 676, 6805, 9082, 2066, 1585, 2923, 5867, 630, 324, 3052, 1421, 3332, 267, 3308, 6575, 267, 14676, 267, 11080, 1040, 898, 5713, 607, 513, 3210, 547, 7810, 626, 6386, 602, 32135, 543, 8589, 1125, 6805, 12583, 267, 4529, 267, 543, 1702, 1949, 269, 1635, 8508, 2609, 540, 2257, 5708, 267, 14810, 267, 543, 16897, 267, 6805, 4589, 1711, 1007, 7399, 585, 1582, 3146, 335, 19948, 543, 4187, 1996, 5571, 3936, 2401, 7810, 3785, 630, 5415, 2023, 7304, 984, 8657, 267, 476, 1001, 276, 6393, 7659, 10417, 281, 1546, 3712, 517, 1944, 4325, 1529, 894, 15881, 2510, 692, 13356, 20325, 1436, 3322, 4101, 543, 24905, 1782, 26568, 1379, 3889, 15110, 689, 3140, 17091, 3157, 269, 769, 519, 2796, 540, 6805, 13777, 584, 1143, 267, 28160, 1944, 23019, 6386, 1797, 1298, 1359, 6805, 5380, 267, 23381, 338, 267, 543, 2833, 950, 31935, 2104, 10600, 269, 3414, 713, 1935, 267, 6805, 4589, 5706, 8789, 5375, 26381, 3098, 543, 23835, 3098, 602, 632, 16058, 1125, 873, 543, 17854, 4797, 14226, 543, 7006, 1601, 11970, 269, 5502, 267, 789, 2721, 2390, 2757, 2984, 267, 10752, 267, 543, 2853, 547, 4020, 16779, 22649, 540, 4126, 543, 6043, 630, 307, 3089, 1299, 18708, 267, 476, 1001, 273, 6393, 30206, 5999, 1384, 265, 1215, 1522, 6805, 13777, 22618, 6386, 8428, 689, 13416, 2257, 5708, 21050, 525, 888, 265, 4208, 568, 28160, 1944, 23019, 6386, 1898, 585, 5009, 6805, 1582, 24148, 543, 8116, 2496, 4089, 476, 273, 281, 10289, 5384, 13488, 619, 262, 2372, 3949, 692, 11742, 2951, 2488, 15417, 2666, 585, 3695, 4798, 4143, 547, 6805, 2950, 971, 607, 29076, 8194, 267, 7067, 267, 3965, 267, 543, 4276, 547, 2244, 269, 5384, 17631, 262, 1391, 338, 1419, 4125, 3197, 10188, 1950, 13796, 8916, 6825, 676, 3140, 5208, 543, 21440, 1247, 5275, 11808, 543, 3666, 269, 1452, 6386, 2709, 3255, 585, 9691, 6313, 2250, 4636, 4777, 902, 543, 19424, 532, 4244, 10092, 4464, 1759, 593, 3741, 540, 25262, 640, 267, 2463, 267, 543, 22228, 640, 630, 310, 30476, 267, 476, 1001, 274, 6393, 19111, 5530, 281, 8125, 14150, 781, 1325, 2006, 659, 540, 519, 16458, 692, 299, 525, 12340, 631, 1301, 517, 8125, 14150, 781, 3209, 1325, 2006, 659, 540, 519, 16458, 3091, 513, 8903, 1383, 540, 513, 942, 2951, 2239, 29689, 609, 6805, 14421, 1108, 543, 17035, 269, 5590, 9624, 2797, 24187, 2059, 519, 772, 2529, 11607, 300, 1410, 4815, 8473, 267, 519, 3209, 5205, 1896, 3197, 945, 7832, 593, 15322, 998, 2230, 543, 942, 11461, 676, 3504, 16322, 2886, 269, 1306, 789, 29906, 1114, 28868, 543, 2520, 13132, 267, 789, 7237, 2984, 540, 21393, 267, 8733, 9552, 267, 543, 2686, 2530, 269, 1717, 267, 891, 13341, 849, 7866, 2994, 585, 7067, 543, 25430, 12082, 538, 6805, 5389, 630, 22068, 14150, 267, 476, 1960, 272, 6393, 12244, 281, 22718, 8125, 14150, 781, 5384, 13488, 9828, 692, 5649, 32461, 689, 1325, 2006, 659, 540, 519, 16458, 602, 6813, 8320, 540, 942, 2951, 610, 22357, 9389, 1275, 269, 3973, 267, 2626, 519, 1739, 2055, 1384, 265, 1548, 2553, 1281, 8125, 14150, 2308, 547, 6655, 1200, 3197, 262, 3350, 998, 942, 888, 265, 1215, 1281, 8125, 14150, 1921, 2250, 2621, 609, 1459, 9620, 5185, 676, 6805, 2950, 888, 265, 10576, 8090, 1141, 3197, 4497, 609, 18577, 7326, 610, 1702, 269, 1215, 798, 891, 4205, 1217, 741, 24300, 540, 1582, 543, 2146, 2496, 4089, 476, 274, 281, 14958, 532, 2659, 13574, 5384, 13488, 518, 781, 2372, 652, 692, 2026, 14971, 5830, 543, 2565, 17024, 267, 596, 1932, 666, 3565, 547, 519, 24567, 2361, 540, 6805, 13777, 584, 1143, 676, 13167, 707, 1378, 942, 2951, 518, 781, 1391, 338, 269, 14301, 6667, 689, 5931, 5941, 2429, 713, 1770, 267, 4952, 513, 1915, 945, 2377, 10225, 593, 513, 3460, 998, 942, 547, 13720, 2152, 18363, 741, 2146, 269, 6333, 6220, 519, 1739, 2609, 1384, 265, 3955, 933, 3058, 2757, 2984, 267, 14868, 267, 610, 17691, 883, 707, 2239, 3248, 265, 22716, 1944, 3347, 1063, 3425, 267, 1875, 21065, 753, 267, 543, 8134, 3248, 265, 12056, 609, 4798, 540, 28160, 1436, 267, 16285, 267, 543, 1582, 24148, 3248, 265, 22034, 3309, 12331, 540, 4082, 630, 324, 3052, 1421, 6965, 267, 18340, 267, 8642, 1148, 264, 547, 10802, 707, 9423, 780, 3528, 3384, 707, 1378, 942, 17631, 262, 1391, 338, 267, 596, 8362, 7119, 538, 5935, 811, 8537, 543, 12581, 20304, 16135, 538, 6805, 917, 1194, 2471, 543, 2833, 780, 6962, 281, 2037, 9679, 532, 20010, 2622, 338, 8625, 692, 9961, 713, 1770, 267, 649, 723, 8268, 519, 3638, 1761, 540, 6805, 13777, 584, 1143, 543, 942, 17631, 262, 1391, 338, 585, 5807, 1232, 565, 11102, 16697, 2456, 602, 4161, 26568, 3889, 543, 8661, 4763, 269, 1635, 11173, 547, 4099, 6805, 9739, 543, 5380, 1369, 23019, 6386, 267, 649, 15217, 1847, 2509, 2679, 1732, 9723, 528, 4900, 28093, 4240, 609, 4126, 267, 7067, 267, 543, 7004, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 28074, 553, 1178, 857, 553, 269, 7790, 4467, 334, 533, 4240, 334, 538, 545, 3511, 28140, 542, 888, 296, 6557, 513, 27466, 324, 521, 1176, 3405, 514, 20022, 3096, 538, 31448, 12059, 942, 779, 519, 19259, 267, 552, 327, 286, 589, 10480, 5346, 9794, 19184, 539, 30223, 957, 816, 14811, 25669, 700, 2129, 534, 1394 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 780, 273, 269, 634, 11957, 540, 7087, 15328, 17443, 4653, 692, 8139, 7087, 14421, 1108, 3788, 4143, 2221, 1813, 547, 922, 1761, 547, 1217, 4264, 1646, 267, 3895, 8733, 5726, 267, 543, 6536, 17685, 8590, 5188, 269, 5047, 267, 9301, 543, 3024, 532, 7087, 1702, 1949, 666, 3565, 547, 28160, 1436, 3646, 676, 4101, 8789, 5375, 26336, 543, 7586, 4328, 12790, 9739, 269, 1306, 971, 267, 2502, 609, 7087, 14421, 3098, 3091, 3255, 585, 2123, 2208, 267, 6848, 7004, 267, 543, 2518, 17604, 780, 274, 269, 10289, 7087, 15328, 17443, 998, 8479, 16989, 27140, 692, 15239, 12279, 3332, 6098, 693, 1762, 4079, 2488, 3015, 2943, 13857, 28402, 540, 1950, 3584, 899, 7087, 14421, 1108, 269, 3414, 8903, 9423, 267, 12667, 11673, 267, 543, 11541, 3197, 267, 891, 5931, 6338, 3988, 547, 519, 5030, 2833, 543, 7326, 540, 7087, 9082, 5001, 269, 901, 3296, 8711, 1883, 4798, 543, 4030, 6508, 689, 2824, 1762, 2937, 15923, 1568, 10704, 593, 7087, 14421, 1108, 780, 320, 264, 1323, 6827, 1537, 22627, 281, 16871, 11595, 543, 26504, 692, 6624, 7087, 14421, 3098, 2566, 519, 2956, 540, 22693, 267, 10223, 15364, 1063, 2250, 267, 1459, 267, 543, 2104, 5481, 269, 1280, 1383, 267, 834, 2304, 785, 1176, 752, 11445, 6468, 781, 966, 7860, 257, 630, 1001, 280, 264, 20502, 519, 2984, 543, 5389, 540, 16971, 2021, 2713, 538, 5245, 781, 23108, 1774, 29431, 1633, 339, 2895, 28396, 269, 1635, 4687, 741, 4276, 547, 2244, 267, 1893, 267, 543, 737, 29023, 5121, 267, 891, 6386, 6542, 6043, 9624, 7810, 23543, 543, 5571, 9620, 585, 1582, 24148, 780, 321, 264, 7025, 19731, 13734, 281, 24442, 609, 7186, 692, 288, 1455, 4183, 540, 7087, 14421, 3098, 3322, 13156, 3425, 607, 7533, 3334, 540, 8134, 2864, 982, 5094, 9988, 269, 834, 763, 21756, 5808, 4325, 6545, 19594, 257, 630, 1708, 271, 264, 676, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2026, 513, 8965, 10196, 543, 4487, 14468, 1072, 2069, 11285, 630, 300, 6224, 2464, 10378, 1070, 3220, 269, 8176, 681, 269, 29124, 4867, 5713, 607, 606, 21133, 7905, 540, 25731, 5735, 1299, 4317, 7070, 538, 519, 4659, 585, 2657, 1299, 24054, 693, 519, 6481, 5441, 540, 16855, 630, 10157, 310, 1040, 3220, 269, 29124, 568, 849, 519, 5853, 532, 10615, 540, 1010, 9093, 779, 2657, 21153, 885, 3194, 6997, 543, 606, 14376, 21133, 16588, 540, 519, 1158, 3146, 852, 539, 2160, 540, 12309, 5336, 12089, 10613, 5358, 269, 769, 1039, 527, 517, 267, 646, 568, 519, 2250, 22305, 1116, 21133, 10615, 540, 7991, 4934, 18943, 1299, 22580, 585, 14330, 310, 779, 9435, 4741, 607, 1134, 607, 513, 2250, 849, 606, 14330, 310, 9435, 4741, 3194, 10104, 7736, 15735, 17348, 269, 3571, 4876, 814, 15868, 1864, 547, 1353, 267, 7649, 609, 267, 543, 5924, 581, 513, 4938, 26448, 12167, 585, 1585, 9207, 5703, 543, 13998, 7925, 2516, 1519, 2146, 1673, 16946, 4587, 2937, 267, 3979, 1977, 267, 15602, 267, 24622, 8932, 267, 15730, 543, 1762, 2937, 267, 17104, 267, 6917, 267, 7087, 267, 543, 4638, 12102, 5095, 563, 7804, 269, 29124, 568, 8149, 547, 24905, 1782, 1949, 540, 1727, 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, 15215, 1315, 7087, 1315, 4937, 1315, 7087, 15328, 17443, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 7913, 769, 330, 543, 29986, 23779, 910, 1133, 548, 4770, 27065, 609, 7305, 1206, 692, 5331, 952, 596, 1223, 946, 513, 4050, 547, 1711, 1148, 267, 4194, 2979, 2042, 267, 610, 1256, 2328, 2984, 593, 707, 2780, 256, 16319, 3579, 267, 1318, 286, 2060, 3059, 13504, 2029, 543, 13002, 6284, 267, 1631, 596, 666, 798, 1175, 602, 1210, 513, 3926, 1572, 513, 16979, 269, 2913, 781, 2263, 1018, 891, 5863, 2645, 616, 782, 827, 2439, 1262, 1432, 568, 7913, 769, 330, 15140, 19445, 13504, 568, 899, 5907, 834, 1074, 257, 602, 2636, 596, 547, 2328, 610, 2721, 593, 513, 2027, 2627, 630, 20365, 16979, 264, 1210, 513, 18935, 639, 630, 320, 16681, 2012, 585, 513, 3059, 4050, 1040, 9521, 2757, 23445, 543, 1957, 267, 950, 596, 946, 3059, 13504, 267, 707, 13144, 5749, 1405, 8628, 2394, 596, 6430, 789, 616, 256, 1358, 666, 3362, 581, 12995, 267, 6410, 1472, 267, 759, 1242, 267, 610, 2144, 1078, 269, 898, 10741, 909, 11995, 7399, 585, 5876, 543, 1565, 780, 1262, 21652, 8586, 23779, 1107, 12414, 2659, 5675, 20553, 7956, 256, 4373, 3086, 1934, 2501, 519, 9059, 1107, 4952, 1373, 2111, 547, 6460, 707, 4190, 25777, 610, 16517, 1820, 13002, 883, 29921, 1257, 8850, 256, 2334, 781, 4010, 1018, 13002, 6284, 1281, 269, 4635, 4359, 5841, 4987, 6620, 267, 5904, 666, 5659, 707, 13002, 3270, 543, 2981, 873, 883, 1196, 3386, 1257, 269, 1215, 3579, 568, 602, 31841, 4131, 781, 1491, 513, 2241, 1383, 269, 14597, 596, 1616, 547, 2328, 1524, 519, 2626, 547, 513, 1187, 678, 1497, 899, 834, 1432, 814, 10569, 855, 666, 1405, 1930, 25437, 286, 2668, 1403, 596, 5206, 834, 288, 14440, 2580, 13002, 6284, 1131, 5431, 1346, 5022, 543, 2490, 873, 883, 1826, 25740, 3197, 865, 602, 1866, 1223, 3362, 1224, 543, 4431, 547, 707, 5048, 269, 3143, 811, 17511, 2838, 2439, 1262, 21093, 3323, 609, 7913, 769, 330, 543, 29986, 23779, 4373, 2414, 1376, 1210, 3059, 13504, 543, 13002, 6284, 267, 1101, 267, 2327, 602, 707, 16979, 7028, 891, 2934, 269, 4107, 2413, 14342, 2097, 9280, 609, 3301, 5885, 1312, 29782, 856, 540, 519, 4216, 269, 1717, 267, 930, 949, 2154, 1808, 10256, 610, 3156, 269, 4495, 3388, 568, 1305, 909, 7157, 267, 3274, 1921, 707, 16979, 547, 707, 2780, 3842, 922, 18292, 2823, 543, 1577, 519, 3860, 3460, 2253, 2439, 2691, 2324, 609, 3059, 13504, 267, 3314, 602, 2259, 2306, 3501, 269, 5213, 1405, 5855, 952, 707, 3515, 1810, 1405, 2408, 5347, 693, 1101, 282, 936, 942, 267, 596, 3513, 1205, 1031, 547, 9013, 519, 2095, 543, 2604, 540, 707, 18116, 269, 1656, 2141, 1832, 3695, 1007, 2081, 547, 2769, 3054, 1210, 1114, 26814, 267, 4778, 267, 543, 2553, 780, 2026, 585, 13002, 6284, 267, 2119, 19234, 609, 1585, 6163, 543, 11250, 269, 3683, 942, 267, 519, 3642, 1062, 786, 1451, 707, 2189, 13002, 2511, 267, 1818, 519, 7503, 1184, 5051, 4977, 269, 3807, 1589, 827, 782, 519, 942, 10710, 676, 9319, 8261, 17511, 2439, 1262, 6962, 4373, 19445, 13504, 543, 13002, 6284, 2709, 6909, 3255, 585, 1582, 22325, 543, 7607, 1247, 5807, 5876, 543, 2565, 3206, 1983, 1851, 3755, 269, 1924, 1946, 7227, 286, 3400, 321, 707, 16979, 267, 4608, 777, 707, 18935, 639, 267, 543, 4685, 883, 519, 1158, 540, 3059, 13504, 543, 13002, 6284, 2221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15675, 769, 330, 17817, 547, 1930, 519, 5373, 8818, 269, 634, 5373, 8818, 5161, 540, 513, 2230, 585, 596, 547, 2328, 267, 543, 513, 12744, 4216, 602, 2982, 875, 519, 3830, 786, 1413, 593, 519, 2985, 269, 901, 3947, 596, 519, 4316, 547, 3501, 707, 960, 1354, 621, 779, 17332, 883, 519, 3561, 2443, 855, 596, 3580, 2693, 1265, 602, 8837, 769, 330, 568, 2111, 547, 1224, 707, 563, 27237, 292, 1677, 2196, 769, 330, 267, 596, 1590, 723, 513, 654, 659, 558, 12449, 16979, 609, 513, 18292, 27296, 269, 1411, 332, 755, 849, 3888, 519, 654, 659, 558, 16979, 9920, 585, 5839, 13013, 2473, 267, 2139, 585, 4647, 5228, 269, 21220, 19123, 10274, 596, 998, 519, 10380, 3268, 269, 589, 7305, 339, 2776, 325, 3720, 6885, 267, 514, 799, 596, 666, 1305, 971, 1919, 607, 2604, 8417, 543, 4945, 2557, 267, 2408, 1873, 1156, 10380, 568, 2347, 563, 263, 2252, 596, 991, 811, 1344, 827, 28085, 610, 7809, 2264, 10380, 267, 1224, 28914, 476, 275, 267, 1412, 9743, 16226, 1715, 10241, 9538, 3738, 1635, 1492, 942, 596, 1224, 713, 267, 3606, 16979, 10256, 1522, 581, 2139, 269, 1879, 513, 12449, 16979, 568, 726, 28289, 883, 835, 540, 707, 2780, 781, 18292, 16788, 267, 534, 769, 330, 12835, 2982, 909, 896, 519, 10434, 2264, 3296, 540, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19445, 769, 330, 543, 29986, 23779, 257, 607, 851, 540, 834, 28035, 1315, 10434, 2264, 1315, 7305, 1206, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 14297, 2749, 540, 5450, 24227, 267, 972, 729, 513, 1507, 855, 1134, 9113, 4624, 8051, 6109, 3957, 27997, 1299, 4889, 919, 269, 634, 2754, 929, 3660, 3294, 593, 922, 2178, 960, 2802, 545, 267, 3007, 547, 1469, 267, 543, 7029, 547, 7817, 9547, 269, 2311, 519, 2295, 540, 519, 3919, 729, 3057, 5055, 267, 513, 30190, 9972, 2272, 656, 945, 1185, 6131, 1200, 1272, 547, 28798, 1200, 4739, 780, 3080, 1554, 267, 607, 3057, 5055, 2893, 693, 1200, 11380, 23939, 17265, 2883, 6898, 267, 1352, 4607, 606, 14849, 7662, 689, 1200, 26393, 267, 7033, 267, 945, 5249, 538, 519, 2912, 1746, 8257, 269, 1261, 12758, 1010, 2212, 883, 1200, 5604, 543, 1767, 267, 834, 20756, 267, 666, 596, 2285, 803, 513, 1688, 609, 713, 1867, 286, 594, 6415, 2731, 32761, 539, 3010, 11321, 5055, 11688, 18469, 585, 513, 4090, 267, 6236, 1200, 2907, 24492, 532, 24913, 269, 1717, 267, 1352, 849, 6444, 519, 2956, 540, 16542, 543, 23831, 513, 4543, 1688, 950, 2877, 269, 2701, 15527, 267, 834, 8170, 1576, 267, 7033, 269, 594, 1174, 875, 14053, 20894, 4005, 666, 581, 269, 2913, 803, 1175, 9096, 909, 1018, 594, 6415, 3257, 1934, 267, 543, 1287, 594, 786, 2097, 936, 547, 948, 596, 856, 3010, 5475, 11264, 1200, 1699, 4305, 267, 3057, 5055, 1500, 1200, 1259, 547, 7033, 781, 5604, 269, 16270, 10024, 267, 1352, 8068, 25985, 540, 1957, 1740, 16559, 827, 688, 874, 1794, 731, 569, 269, 898, 7902, 602, 7033, 1185, 1044, 5104, 31227, 2789, 10467, 8195, 543, 10010, 547, 1832, 909, 269, 22628, 713, 771, 32360, 6039, 607, 513, 12576, 547, 3057, 5055, 540, 519, 1871, 540, 4509, 1931, 9624, 14784, 780, 9515, 18202, 909, 1200, 19492, 1407, 543, 798, 557, 883, 519, 1788, 267, 5356, 10372, 543, 5583, 1759, 593, 1200, 3573, 1995, 269, 8625, 267, 789, 7307, 547, 2347, 519, 1867, 7561, 1247, 849, 1565, 689, 1142, 824, 781, 6791, 269, 1306, 513, 1267, 267, 519, 11450, 1063, 519, 8051, 543, 2912, 1746, 13623, 8057, 6793, 267, 6038, 4324, 1154, 519, 3003, 6109, 780, 4913, 267, 711, 3025, 538, 519, 5604, 15874, 519, 6891, 540, 5698, 269, 2290, 21738, 2272, 656, 267, 23183, 267, 759, 5034, 2348, 547, 2671, 1200, 24913, 609, 1866, 269, 1879, 5185, 609, 2147, 13668, 585, 6351, 267, 1352, 1131, 1419, 4431, 609, 29383, 610, 905, 11220, 22293, 269, 4173, 2623, 1705, 711, 979, 29462, 676, 2359, 267, 945, 5555, 9619, 1200, 10182, 1282, 513, 2773, 2689, 780, 257, 300, 807, 2437, 3459, 15679, 11347, 1849, 18311, 267, 834, 7312, 2930, 1983, 616, 11141, 267, 855, 707, 31464, 1145, 547, 12840, 814, 1831, 513, 6161, 269, 1284, 1871, 2319, 5716, 1934, 693, 27997, 1299, 4889, 919, 269, 2052, 596, 2995, 721, 1946, 596, 723, 1044, 11688, 26938, 547, 1683, 1489, 547, 707, 9164, 12482, 300, 807, 521, 19042, 7184, 1354, 16153, 1154, 267, 834, 296, 7058, 594, 5433, 16397, 543, 2219, 602, 952, 594, 5280, 1866, 267, 1250, 1378, 960, 1131, 7985, 269, 1809, 1631, 594, 1294, 602, 2324, 1927, 2640, 3025, 3238, 3010, 290, 5055, 790, 20493, 27145, 543, 14452, 267, 834, 6546, 781, 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 ]
[ 25901, 2593, 270, 10112, 1115, 9706, 4206, 270, 1952, 997, 725, 270, 20684, 318, 29552, 290, 15005, 454, 763, 2376, 9607, 5277, 7269, 609, 2837, 543, 524, 2572, 606, 2802, 22005, 12547, 1383, 563, 11990, 5295, 267, 17874, 11653, 454, 32271, 23166, 18919, 8582, 744, 6020, 293, 2975, 2464, 454, 11693, 602, 519, 5934, 27307, 1648, 585, 661, 302, 568, 1152, 476, 271, 269, 6187, 1984, 6359, 537, 956, 630, 332, 297, 1070, 621, 779, 2653, 547, 1294, 513, 2601, 585, 6161, 282, 7250, 568, 476, 271, 269, 6349, 544, 297, 269, 594, 12193, 713, 11015, 609, 9185, 676, 10747, 519, 1450, 762, 2837, 4473, 585, 519, 5277, 538, 519, 10612, 267, 1287, 519, 3002, 3666, 563, 7069, 1935, 3322, 1079, 968, 2998, 531, 3343, 892, 23200, 269, 634, 1101, 31758, 519, 2837, 4473, 1759, 593, 519, 1450, 762, 2604, 4473, 689, 513, 7344, 3666, 593, 519, 10612, 2443, 519, 2837, 4473, 568, 513, 1599, 540, 31221, 303, 267, 1775, 4318, 1421, 519, 3017, 1063, 519, 13662, 309, 1305, 1448, 543, 519, 5665, 2604, 281, 476, 13970, 268, 4649, 27666, 580, 610, 476, 3445, 27666, 580, 269, 634, 2034, 568, 513, 3002, 3666, 693, 519, 2627, 540, 519, 11953, 10612, 610, 13471, 29075, 1210, 519, 31221, 307, 1336, 563, 8025, 3041, 631, 2177, 8025, 24912, 29706, 313, 313, 299, 2207, 0, 4462, 2181, 13484, 6639, 7760, 543, 7222, 10124, 538, 1870, 3631, 723, 5280, 2883, 10014, 11457, 3564, 8806, 8220, 1004, 547, 513, 4871, 2272, 269, 898, 568, 267, 585, 3236, 267, 4543, 1377, 519, 4730, 2361, 585, 1507, 6705, 676, 3246, 1569, 547, 18046, 267, 811, 3608, 14499, 267, 543, 3432, 1512, 11033, 269, 898, 568, 13868, 7938, 1752, 344, 1957, 642, 537, 7815, 1949, 1031, 8015, 19493, 16839, 609, 3341, 4660, 6486, 585, 1426, 543, 7727, 269, 1656, 621, 568, 4543, 1507, 543, 2890, 268, 1067, 577, 1218, 4228, 741, 4213, 676, 16107, 6718, 1239, 547, 5512, 5491, 18176, 563, 763, 3666, 6656, 540, 19988, 9988, 568, 2484, 811, 1950, 982, 519, 3666, 6656, 540, 4357, 3549, 269, 1280, 1383, 267, 519, 5238, 602, 4383, 519, 7221, 540, 513, 19988, 616, 1114, 982, 1346, 799, 936, 5408, 519, 20824, 267, 1419, 609, 1114, 31433, 269, 4033, 2152, 1331, 519, 4214, 540, 519, 968, 810, 3164, 793, 892, 543, 519, 9165, 540, 922, 3666, 6656, 267, 519, 1950, 29925, 540, 15889, 7221, 543, 6284, 540, 2883, 7405, 267, 2942, 2121, 4502, 267, 18106, 10916, 267, 543, 1082, 1866, 269, 1306, 513, 1267, 267, 7429, 4357, 3549, 267, 1034, 6608, 4383, 741, 3666, 9212, 607, 5094, 1016, 268, 1636, 31987, 1510, 2348, 513, 11455, 1935, 563, 7922, 690, 2022, 676, 513, 2875, 593, 519, 2816, 2344, 563, 2171, 1430, 28654, 616, 513, 3586, 543, 3395, 3463, 547, 1454, 540, 519, 1158, 779, 6917, 2551, 4171, 24454, 4096, 593, 6683, 630, 32056, 935, 267, 476, 1220, 273, 1040, 634, 1942, 540, 1373, 6534, 547, 891, 28654, 568, 1164, 281, 10820, 6133, 11327, 7221, 610, 2569, 7836, 593, 1898, 5370, 543, 2533, 602, 666, 723, 8101, 2942, 1279, 24507, 4539, 593, 7622, 8171, 269, 5047, 267, 10820, 1419, 9772, 6694, 2504, 3157, 602, 616, 1447, 19408, 855, 849, 1447, 11327, 538, 1931, 547, 3970, 741, 4598, 547, 891, 2010, 540, 28654, 630, 13202, 7999, 543, 25020, 267, 476, 1001, 279, 1040, 10251, 267, 621, 814, 9863, 4101, 547, 1020, 2883, 2645, 602, 2569, 4598, 713, 1981, 269, 12465, 6142, 568, 1419, 15534, 538, 3384, 2477, 1317, 540, 5837, 9651, 543, 8801, 5542, 269, 5015, 267, 4365, 268, 8161, 6142, 267, 799, 729, 2966, 547, 948, 6705, 2333, 741, 6043, 547, 3665, 4365, 2621, 267, 814, 11124, 689, 1970, 3747, 630, 290, 1961, 543, 2473, 542, 326, 267, 476, 1001, 278, 1916, 21841, 28588, 10909, 723, 1044, 538, 519, 8186, 540, 1158, 779, 3056, 4871, 619, 543, 24192, 25015, 269, 22094, 2096, 5474, 616, 7255, 602, 3013, 779, 3056, 10909, 971, 607, 519, 14174, 20315, 13632, 2443, 9365, 267, 11197, 267, 8835, 267, 28923, 543, 5616, 2443, 616, 2348, 8801, 2164, 593, 519, 1964, 540, 721, 543, 1818, 2804, 3609, 1447, 22150, 269, 4208, 568, 713, 286, 3509, 540, 519, 3549, 723, 4824, 519, 2729, 540, 1004, 2066, 519, 1158, 609, 3810, 14909, 543, 3730, 2472, 269, 1452, 22530, 541, 10909, 723, 849, 2944, 1360, 1134, 585, 1082, 540, 741, 8639, 543, 9520, 269, 634, 2338, 616, 31417, 269, 1452, 2947, 10509, 3549, 1927, 2272, 585, 10199, 3368, 540, 519, 12374, 6913, 676, 519, 9208, 1299, 18648, 779, 476, 4335, 6006, 4994, 538, 476, 1001, 279, 269, 1656, 538, 2487, 4374, 267, 11197, 2968, 519, 1158, 781, 1101, 18265, 1673, 20683, 18294, 267, 609, 8835, 711, 2484, 3297, 269, 2755, 519, 22530, 541, 10909, 723, 1500, 1272, 4443, 585, 1082, 6800, 267, 621, 781, 2182, 585, 24192, 711, 547, 4898, 2436, 519, 2360, 540, 741, 14404, 2214, 8879, 1967, 616, 7357, 22480, 563, 7712, 922, 27299, 267, 4871, 3854, 7939, 814, 1044, 513, 1888, 540, 12699, 4901, 543, 7521, 269, 2311, 519, 3486, 1377, 267, 519, 30239, 9730, 593, 30914, 8111, 9679, 630, 6195, 7034, 264, 814, 7153, 607, 513, 2518, 3044, 1305, 614, 585, 7939, 540, 8492, 269, 18786, 609, 519, 1101, 30239, 11063, 538, 476, 2735, 279, 267, 1455, 3854, 9072, 941, 3964, 547, 7794, 8492, 685, 3854, 24302, 687, 543, 547, 2327, 513, 1377, 4730, 2361, 693, 519, 3486, 1377, 269, 1452, 3077, 3854, 12753, 941, 2966, 547, 581, 519, 1482, 2066, 2477, 267, 1510, 2921, 883, 7156, 7648, 538, 2199, 2344, 2175, 563, 763, 2487, 2804, 2208, 2773, 540, 519, 2477, 538, 5824, 3013, 543, 519, 12144, 630, 299, 3722, 264, 814, 1044, 554, 2086, 1229, 676, 4057, 7607, 2208, 269, 2755, 1082, 2188, 2491, 519, 4057, 7607, 543, 2208, 2773, 538, 519, 3148, 267, 3668, 540, 2883, 1646, 267, 3226, 1279, 3856, 5491, 547, 2508, 7607, 10276, 327, 3496, 9541, 267, 568, 1419, 11855, 607, 513, 1966, 11065, 21403, 1949, 616, 519, 1292, 7426, 540, 1279, 3856, 14104, 547, 519, 4357, 5823, 1472, 519, 1158, 269, 17859, 540, 741, 2450, 610, 519, 4747, 1377, 538, 741, 2197, 540, 5169, 267, 547, 2508, 454, 325, 12089, 7221, 267, 10909, 3489, 1034, 540, 741, 14104, 689, 8492, 269, 5600, 9302, 685, 1292, 1279, 3856, 5092, 267, 8027, 267, 568, 849, 11566, 569, 1710, 2331, 676, 8492, 563, 763, 20870, 16683, 540, 519, 12900, 540, 2274, 327, 2006, 29564, 568, 513, 1434, 4316, 585, 721, 782, 547, 2992, 593, 519, 2518, 2883, 6433, 543, 519, 4245, 649, 723, 4121, 689, 621, 269, 1635, 1631, 267, 972, 568, 7839, 6876, 602, 519, 6433, 729, 3361, 676, 7050, 1981, 23824, 676, 2883, 5238, 269, 1703, 941, 4679, 538, 15407, 543, 1981, 23824, 267, 799, 3576, 519, 1106, 540, 7050, 16126, 593, 17783, 1446, 7616, 267, 2539, 23831, 4441, 267, 25619, 5491, 16863, 267, 543, 1950, 11295, 7405, 269, 1809, 1946, 1705, 621, 4755, 286, 1215, 1223, 971, 513, 6433, 22132, 538, 519, 2136, 2276, 267, 1753, 547, 24903, 519, 1034, 10427, 2883, 1062, 538, 519, 1158, 286, 2311, 519, 942, 267, 1250, 9164, 543, 594, 11130, 24539, 7526, 941, 693, 519, 2295, 540, 519, 6433, 543, 4857, 15024, 602, 1131, 2087, 15314, 676, 2810, 11413, 543, 12477, 538, 519, 2883, 2872, 607, 1134, 607, 2229, 269, 2991, 782, 267, 952, 1804, 267, 20833, 3532, 5238, 5781, 2503, 547, 581, 536, 9229, 856, 952, 789, 1205, 883, 8373, 267, 621, 568, 24669, 602, 741, 1981, 14031, 786, 581, 1454, 2362, 982, 1018, 568, 13998, 6099, 563, 20181, 543, 19979, 6694, 26038, 267, 4057, 14479, 267, 1970, 2551, 5860, 543, 3908, 1344, 616, 1175, 513, 1906, 4128, 602, 723, 6854, 5010, 8492, 2476, 540, 6917, 2127, 538, 3384, 2477, 267, 1141, 1875, 23810, 2883, 5238, 630, 7945, 607, 631, 293, 3674, 267, 24625, 2510, 267, 610, 5491, 18787, 264, 723, 5129, 606, 1271, 1909, 563, 4913, 267, 891, 6917, 5238, 4043, 547, 581, 1507, 543, 1419, 7985, 689, 3983, 1981, 2359, 267, 4057, 10350, 267, 543, 4617, 2930, 543, 31707, 4390, 269, 1452, 10148, 616, 538, 2490, 5293, 593, 547, 519, 10210, 619, 538, 519, 1106, 540, 2362, 1719, 3928, 543, 5491, 32311, 532, 269, 634, 3668, 540, 1480, 543, 10721, 3854, 1851, 32225, 568, 513, 1826, 540, 2344, 5821, 1141, 1857, 7459, 949, 581, 1312, 2500, 543, 2344, 7874, 630, 289, 525, 2917, 267, 476, 1960, 275, 1916, 5278, 476, 6078, 19728, 4196, 519, 3979, 11782, 269, 3509, 540, 891, 616, 27537, 676, 741, 2192, 18612, 543, 10355, 21775, 4567, 593, 519, 2518, 2883, 2344, 267, 607, 1134, 607, 741, 25359, 269, 1924, 585, 1346, 530, 5109, 547, 798, 1870, 609, 4000, 267, 891, 19728, 2443, 607, 2352, 543, 7199, 547, 2707, 2443, 666, 10460, 513, 1483, 1966, 563, 5804, 519, 21601, 756, 1014, 13362, 547, 519, 1530, 344, 23025, 12251, 8297, 701, 324, 267, 621, 568, 4105, 602, 14540, 616, 2111, 547, 2707, 6932, 2344, 19728, 28761, 267, 593, 942, 267, 543, 693, 8013, 5777, 269, 8616, 971, 29476, 1419, 1714, 8775, 1346, 9467, 609, 4000, 267, 945, 2070, 9304, 4145, 607, 835, 540, 519, 7887, 7496, 547, 519, 1646, 540, 4000, 607, 606, 6932, 2443, 543, 4061, 1164, 2208, 2443, 4316, 585, 3486, 9520, 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 ]
[ 8548, 664, 1496, 281, 2639, 825, 1948, 17653, 908, 4351, 1376, 543, 1439, 9557, 585, 695, 4428, 1782, 454, 825, 1775, 815, 4351, 27110, 263, 271, 267, 6352, 263, 18474, 1588, 9984, 273, 994, 825, 795, 815, 4351, 27110, 9217, 266, 272, 267, 6352, 263, 18474, 1588, 9984, 272, 2020, 825, 1592, 318, 18474, 1588, 815, 1592, 263, 18474, 1588, 994, 825, 1948, 4537, 4428, 1782, 538, 1496, 328, 25814, 316, 8884, 454, 825, 695, 28984, 8217, 815, 1592, 318, 18474, 1588, 5157, 281, 329, 266, 272, 2639, 825, 4351, 11075, 28984, 263, 3333, 28984, 8217, 994, 825, 1592, 318, 18474, 1588, 5157, 281, 329, 266, 272, 316, 815, 695, 28984, 8217, 454, 825, 4999, 815, 1412, 8339, 21860, 17338, 318, 18474, 1588, 994, 825, 2132, 4999, 692, 3698, 23396, 6958, 4233, 263, 18474, 1588, 8548, 664, 2187, 825, 5727, 4537, 28984, 513, 4999, 5569, 780, 825, 6206, 5320, 7440, 912, 825, 4999, 8548, 664, 4534, 3403, 4999, 5569, 22562, 825, 8173, 825, 4999, 815, 4999, 8548, 664, 1496, 281, 2639, 825, 1948, 17653, 908, 4351, 1376, 543, 1439, 9557, 585, 695, 4428, 1782, 454, 825, 1775, 815, 4351, 27110, 263, 271, 267, 6352, 263, 18474, 1588, 9984, 273, 994, 825, 795, 815, 4351, 27110, 9217, 267, 6352, 263, 18474, 1588, 9984, 272, 994, 825, 1948, 18933, 6260, 538, 1496, 328, 25814, 316, 8884, 454, 825, 1592, 318, 18474, 1588, 815, 1592, 263, 18474, 1588, 994, 825, 1592, 318, 18474, 1588, 5157, 3910, 4289, 318, 18474, 1588, 14728, 316, 815, 1592, 318, 18474, 1588, 14728, 3910, 4289, 318, 18474, 1588, 5157, 2639, 825, 4999, 815, 1412, 8339, 21860, 17338, 318, 18474, 1588, 994, 825, 2132, 4999, 692, 3698, 5352, 318, 10113, 26077, 263, 18474, 1588, 267, 17408, 752, 6958, 4233, 815, 23396, 6958, 4233, 2187, 825, 5727, 10090, 919, 1985, 4351, 1533, 540, 513, 2016, 1533, 454, 825, 6206, 5320, 7440, 912, 825, 4999, 268, 3403, 1533, 454, 825, 17408, 752, 6958, 4233, 268, 519, 17408, 1136, 1599, 596, 1616, 547, 946, 268, 621, 666, 581, 23396, 6958, 4233, 263, 29239, 264, 610, 695, 28984, 6958, 4233, 454, 825, 7024, 513, 1007, 6383, 1533, 3097, 825, 8173, 825, 2132, 17408, 752, 6958, 4233, 263, 18474, 1588, 2020, 3698, 8516, 6958, 4233, 263, 18474, 1588, 2187, 825, 5727, 20412, 919, 519, 8516, 540, 513, 2016, 1533, 267, 1775, 4318, 11607, 1297, 540, 1875, 31281, 22326, 15596, 8424, 454, 825, 6206, 5320, 7440, 912, 825, 4999, 268, 3403, 1533, 22562, 825, 7024, 519, 8516, 270, 1297, 540, 1875, 31281, 22326, 8424, 538, 713, 2013, 3097, 825, 8173, 825, 8516, 815, 476, 2764, 1948, 12061, 31281, 22326, 8424, 454, 825, 585, 1775, 538, 2039, 263, 271, 267, 278, 2187, 1038, 585, 795, 538, 2039, 9217, 266, 272, 267, 279, 2187, 2018, 952, 556, 6230, 2255, 16868, 262, 336, 3299, 5569, 5157, 316, 2187, 3546, 952, 2612, 9217, 18191, 264, 2652, 2612, 263, 703, 263, 18474, 1588, 5157, 8079, 268, 703, 263, 18474, 1588, 14728, 8079, 2187, 7386, 8516, 20699, 476, 272, 1948, 821, 22215, 6292, 1336, 454, 4848, 15235, 454, 825, 585, 1775, 538, 2039, 263, 278, 267, 271, 16427, 272, 2187, 1038, 585, 795, 538, 2039, 9217, 268, 272, 16427, 272, 16427, 272, 2187, 2018, 952, 556, 6230, 2255, 16868, 262, 336, 3299, 5569, 5157, 316, 2187, 3546, 952, 2612, 9217, 18191, 264, 2652, 2612, 263, 703, 263, 18474, 1588, 5157, 8079, 268, 703, 263, 18474, 1588, 14728, 8079, 2187, 7386, 8516, 20699, 476, 272, 1948, 821, 22215, 6292, 1336, 28768, 825, 2132, 8516, 692, 0, 320, 284, 1015, 454, 321, 284, 736, 454, 604, 513, 2652, 1015, 912, 476, 1820, 2891, 15916, 2622, 5602, 12828, 912, 476, 1820, 6357, 994, 22322, 0, 5814, 705, 322, 692, 5035, 17593, 7093, 15263, 528, 24998, 2187, 825, 8173, 1038, 17593, 7093, 15263, 528, 281, 2099, 606, 7493, 1257, 1239, 840, 15263, 528, 563, 825, 29185, 825, 6449, 5471, 659, 20199, 1029, 815, 705, 322, 269, 5723, 13967, 9508, 692, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 263, 20082, 7093, 15263, 528, 267, 1582, 1040, 1029, 8181, 9191, 2020, 825, 7711, 29582, 269, 629, 5724, 24709, 454, 825, 1219, 840, 15263, 4311, 267, 1239, 2187, 1038, 8173, 4848, 453, 19152, 912, 4848, 453, 288, 7956, 10574, 1843, 692, 2018, 16849, 454, 2018, 476, 9339, 8894, 2018, 634, 840, 15263, 539, 1239, 1843, 563, 1038, 8173, 1038, 1780, 0, 692, 3698, 1711, 318, 15953, 5560, 525, 5524, 2187, 453, 12163, 453, 453, 8620, 606, 1843, 689, 519, 1362, 4020, 528, 609, 26571, 543, 737, 342, 16911, 563, 453, 453, 1492, 6609, 568, 513, 8675, 609, 519, 1739, 10569, 912, 4848, 453, 272, 264, 1412, 5035, 9166, 519, 1362, 540, 519, 1843, 454, 4848, 453, 273, 264, 26571, 2433, 18593, 26571, 585, 1362, 4020, 528, 454, 4848, 453, 274, 264, 737, 342, 16911, 2433, 18593, 737, 342, 16911, 585, 1362, 4020, 528, 454, 453, 12163, 453, 9383, 817, 815, 6609, 9131, 5035, 23300, 453, 16911, 815, 6609, 10947, 3488, 16911, 3299, 1496, 7481, 453, 29220, 16911, 815, 6609, 10947, 3488, 29220, 16911, 3299, 15079, 2020, 16596, 737, 20199, 28949, 16911, 267, 2878, 29220, 16911, 264, 0, 335, 4631, 815, 13634, 825, 834, 328, 17490, 476, 276, 9899, 476, 1428, 2676, 825, 834, 29727, 25404, 590, 279, 9899, 476, 1626, 2676, 825, 834, 306, 3415, 2473, 704, 807, 2098, 276, 9899, 476, 1691, 454, 8679, 3847, 815, 13634, 825, 834, 328, 17490, 476, 276, 9899, 476, 271, 2676, 825, 834, 29727, 25404, 590, 279, 9899, 476, 275, 2676, 825, 834, 306, 3415, 2473, 704, 807, 2098, 276, 9899, 476, 277, 454, 10926, 18257, 1721, 29789, 538, 5777, 912, 825, 1820, 19629, 333, 257, 266, 12737, 518, 994, 825, 1820, 2891, 763, 1942, 540, 519, 2472, 568, 281, 4939, 338, 257, 4939, 5777, 314, 12737, 518, 7481, 825, 1820, 2891, 2171, 723, 4939, 338, 257, 4939, 2451, 314, 12737, 518, 27994, 257, 2451, 8442, 18411, 1721, 29789, 538, 5777, 269, 12399, 10031, 825, 1820, 2891, 2171, 723, 538, 6006, 281, 257, 1341, 29789, 994, 321, 8500, 5334, 29347, 815, 3403, 2891, 1432, 1131, 596, 899, 547, 6718, 286, 834, 2020, 604, 4444, 5334, 29347, 2652, 834, 328, 17490, 476, 276, 13426, 825, 1820, 2891, 2704, 2431, 267, 1577, 803, 2638, 952, 602, 781, 2139, 907, 23528, 825, 952, 2451, 14277, 328, 17490, 476, 276, 19312, 13843, 476, 272, 912, 1038, 1820, 2891, 17812, 337, 1846, 267, 621, 568, 8197, 2139, 5602, 825, 3116, 912, 1038, 1820, 2891, 2005, 781, 711, 707, 1554, 267, 19890, 5602, 12828, 912, 825, 1820, 2891, 293, 19691, 5602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14582, 3971, 538, 519, 6228, 540, 835, 2696, 267, 16589, 454, 5472, 1695, 568, 519, 29763, 540, 519, 7122, 267, 922, 2552, 28948, 267, 519, 29763, 540, 922, 9259, 267, 543, 2390, 1733, 558, 922, 12602, 4096, 269, 1261, 568, 28093, 4240, 609, 3501, 10305, 267, 689, 519, 20727, 4382, 547, 519, 18104, 267, 543, 1261, 568, 16589, 267, 7247, 14062, 267, 4708, 581, 593, 1864, 267, 6257, 676, 6031, 267, 607, 7150, 538, 519, 717, 3271, 1190, 15878, 685, 31488, 912, 17606, 568, 1261, 945, 2813, 803, 269, 898, 568, 1261, 945, 10274, 803, 282, 1261, 3947, 803, 1426, 543, 4235, 282, 1261, 524, 999, 803, 950, 594, 993, 2192, 282, 1261, 786, 1118, 803, 5884, 543, 1287, 2285, 803, 1272, 1586, 282, 543, 1261, 786, 267, 594, 4126, 267, 31799, 1250, 24966, 267, 593, 519, 4303, 540, 7225, 8540, 1848, 630, 304, 584, 685, 31488, 267, 476, 2918, 281, 4281, 268, 11025, 994, 14582, 3971, 538, 519, 6228, 540, 835, 2696, 267, 16589, 267, 568, 9228, 676, 3280, 2067, 29916, 269, 5871, 2631, 7125, 585, 621, 267, 607, 5018, 538, 519, 1185, 603, 1141, 21024, 16334, 21681, 358, 13758, 267, 4708, 581, 2390, 1864, 267, 1767, 912, 257, 9336, 1126, 568, 4535, 609, 513, 3020, 5132, 630, 328, 4318, 269, 547, 10847, 9039, 855, 16589, 4805, 264, 855, 1010, 3237, 6460, 1864, 547, 17194, 267, 547, 8567, 610, 547, 7395, 664, 1143, 1848, 630, 295, 611, 603, 676, 1325, 5174, 4157, 327, 5953, 686, 994, 5472, 1695, 519, 1034, 4400, 3081, 2676, 2108, 3383, 267, 1496, 303, 1886, 2867, 267, 607, 513, 812, 540, 6986, 5132, 3910, 1796, 6109, 543, 3020, 538, 707, 20174, 547, 4984, 269, 901, 568, 519, 2067, 29916, 16589, 1128, 2683, 538, 30768, 269, 1703, 568, 1100, 1689, 538, 16589, 779, 5137, 269, 901, 568, 519, 1318, 4984, 267, 1498, 1034, 1004, 798, 711, 8275, 621, 6100, 630, 304, 584, 685, 31488, 267, 476, 1789, 281, 1789, 994, 3383, 952, 519, 1480, 6457, 14719, 919, 519, 7122, 543, 519, 9997, 267, 621, 786, 12446, 693, 3661, 538, 519, 6228, 540, 835, 2696, 267, 16589, 563, 5472, 1695, 519, 1034, 4400, 3081, 2676, 2108, 4002, 3618, 267, 972, 616, 4191, 585, 1346, 609, 2386, 5132, 267, 543, 865, 616, 538, 707, 2383, 1932, 282, 798, 596, 711, 1294, 9495, 630, 304, 584, 685, 31488, 267, 476, 7906, 281, 736, 268, 2641, 994, 2690, 713, 2601, 267, 972, 616, 3875, 18627, 602, 4971, 519, 20626, 547, 14719, 622, 593, 519, 7122, 267, 519, 30723, 267, 543, 519, 3618, 267, 865, 602, 519, 4023, 16490, 835, 1223, 12446, 693, 5132, 269, 1261, 949, 581, 1659, 652, 30638, 693, 519, 1379, 540, 16589, 267, 543, 3976, 9684, 13924, 585, 3571, 29667, 625, 269, 7324, 519, 18627, 538, 21533, 540, 519, 593, 8864, 540, 16589, 267, 18813, 1881, 581, 1261, 267, 616, 519, 1739, 912, 2108, 306, 599, 267, 2048, 3891, 568, 16589, 519, 2290, 267, 16589, 519, 18163, 269, 1261, 1917, 582, 1100, 835, 6862, 729, 1261, 1917, 13516, 269, 3143, 835, 568, 13380, 547, 13924, 1848, 630, 304, 584, 685, 31488, 267, 476, 12208, 281, 272, 268, 275, 994, 5472, 1695, 519, 4107, 4400, 3081, 2676, 28490, 972, 1185, 1044, 538, 519, 30723, 610, 3618, 1022, 10971, 855, 13924, 267, 1312, 30723, 543, 3618, 1131, 581, 538, 21219, 1848, 630, 304, 584, 685, 31488, 267, 476, 2641, 281, 2420, 994, 5472, 1695, 519, 4107, 4400, 3081, 2676, 2108, 5472, 1695, 814, 2760, 1185, 513, 1126, 269, 7439, 568, 972, 1022, 16589, 22290, 13924, 1765, 604, 972, 941, 267, 1142, 16589, 1131, 723, 3144, 1010, 5137, 11735, 543, 6836, 547, 7753, 519, 1866, 269, 2904, 16589, 581, 608, 531, 1540, 1657, 1018, 789, 4766, 17373, 630, 304, 584, 685, 31488, 267, 476, 2537, 281, 11011, 994, 293, 28216, 538, 2290, 7083, 936, 519, 2898, 540, 519, 7122, 14906, 619, 519, 22700, 683, 13145, 547, 13924, 982, 519, 22700, 779, 795, 1872, 983, 18916, 563, 5472, 1695, 519, 4107, 4400, 3081, 2676, 2108, 314, 303, 1886, 2867, 3910, 952, 3733, 22063, 2307, 596, 827, 2725, 267, 594, 993, 2282, 269, 594, 4431, 547, 1346, 945, 1289, 2725, 282, 1924, 267, 1577, 873, 4431, 547, 2725, 267, 543, 3494, 538, 2725, 865, 602, 789, 949, 581, 11461, 1848, 630, 304, 584, 685, 31488, 267, 476, 273, 281, 5908, 994, 4517, 1434, 23339, 616, 519, 25019, 540, 519, 22700, 547, 519, 7083, 563, 5472, 1695, 519, 4107, 4400, 3081, 2676, 2108, 1862, 21955, 585, 1346, 945, 1065, 550, 267, 3494, 267, 543, 798, 1434, 23339, 267, 16589, 786, 1689, 519, 9409, 23339, 540, 971, 1004, 883, 1434, 3283, 269, 1261, 568, 1034, 8483, 1516, 267, 1034, 24271, 3814, 1848, 630, 304, 584, 685, 31488, 267, 476, 1839, 281, 3583, 994, 5472, 1695, 519, 4107, 4400, 849, 3081, 2676, 2108, 14187, 1919, 5397, 3983, 1919, 2476, 1848, 630, 304, 584, 685, 31488, 267, 476, 1556, 281, 14625, 994, 14582, 3971, 538, 2696, 31471, 26663, 454, 14582, 3971, 538, 2696, 267, 1401, 531, 1540, 568, 1261, 267, 568, 519, 1883, 6240, 540, 519, 9099, 1212, 539, 593, 799, 824, 3741, 616, 3710, 267, 3541, 1516, 2357, 13369, 543, 5909, 3363, 689, 621, 269, 3371, 267, 621, 568, 4502, 15663, 602, 952, 519, 2048, 19667, 710, 8682, 685, 568, 513, 2339, 540, 5132, 543, 3661, 267, 621, 568, 1641, 547, 1480, 17133, 269, 898, 568, 2009, 267, 998, 7744, 267, 602, 812, 666, 6961, 519, 6228, 540, 31471, 26663, 2696, 543, 824, 581, 7257, 1154, 3933, 6139, 2065, 5900, 1026, 2373, 540, 23942, 3131, 325, 1254, 543, 3690, 25728, 775, 269, 1717, 267, 1100, 1480, 2247, 910, 7224, 2339, 875, 1454, 829, 21082, 267, 16994, 610, 16367, 621, 949, 581, 268, 666, 10146, 519, 23942, 8682, 610, 13498, 922, 9759, 610, 4641, 269, 1924, 267, 607, 519, 717, 3271, 1190, 15878, 685, 534, 20217, 3425, 547, 3494, 538, 2696, 267, 621, 10741, 909, 585, 873, 642, 626, 553, 540, 8086, 2509, 6616, 2696, 267, 1401, 531, 1540, 568, 1261, 267, 998, 519, 4191, 543, 23053, 602, 1261, 814, 10268, 2429, 519, 7122, 269, 769, 519, 29291, 267, 2705, 267, 519, 15878, 685, 534, 14014, 519, 1480, 2247, 689, 1022, 1642, 4288, 610, 16912, 1632, 602, 621, 568, 5827, 540, 26762, 602, 23942, 8682, 269, 3097, 2704, 332, 26663, 2696, 3081, 2676, 2108, 6546, 568, 2696, 267, 707, 7083, 267, 972, 568, 1100, 5601, 4849, 1261, 267, 519, 29763, 540, 3388, 269, 1924, 10847, 13924, 282, 543, 1261, 568, 606, 17451, 6874, 27434, 11565, 2465, 936, 3388, 282, 892, 630, 304, 584, 685, 534, 267, 476, 277, 281, 9083, 994, 2108, 2026, 4166, 607, 15584, 3357, 547, 3776, 6378, 942, 543, 1010, 7083, 12038, 547, 1864, 267, 646, 1767, 267, 2048, 7069, 7083, 256, 8058, 803, 267, 602, 594, 949, 1413, 693, 1411, 256, 685, 590, 4660, 1261, 267, 2048, 2791, 786, 2760, 1294, 2725, 10200, 892, 630, 304, 584, 685, 534, 267, 476, 278, 281, 16960, 994, 763, 717, 3271, 1190, 15878, 685, 534, 779, 25195, 602, 519, 1480, 2247, 568, 24835, 762, 540, 26762, 519, 23942, 8682, 4564, 519, 13398, 538, 519, 3390, 540, 3661, 538, 2696, 267, 1401, 531, 1540, 568, 1261, 269, 12846, 267, 713, 1281, 711, 1611, 1517, 8636, 1782, 610, 896, 7992, 519, 1871, 540, 519, 1480, 2247, 267, 855, 621, 2864, 15387, 4641, 538, 2474, 540, 519, 2247, 779, 2470, 267, 4390, 543, 7182, 269, 1635, 2470, 267, 513, 1480, 2247, 3112, 10146, 3875, 5013, 543, 9259, 267, 2390, 799, 621, 2501, 676, 3781, 543, 1554, 267, 543, 593, 1283, 540, 799, 568, 519, 9759, 540, 513, 2048, 16058, 1582, 8730, 519, 14191, 1249, 547, 621, 269, 19452, 267, 519, 2247, 3112, 10146, 519, 4641, 540, 1769, 610, 11046, 267, 799, 568, 519, 4295, 540, 4207, 3621, 7664, 540, 1022, 10444, 9259, 269, 2986, 891, 7525, 5013, 267, 519, 1480, 2247, 666, 13498, 1152, 741, 2360, 267, 5222, 610, 4539, 267, 607, 621, 6763, 4628, 24835, 762, 540, 26762, 741, 6219, 267, 9759, 610, 4641, 269, 769, 1840, 267, 519, 2247, 779, 24835, 1464, 547, 10146, 891, 5013, 1281, 711, 2258, 622, 741, 6228, 269, 11569, 267, 922, 24835, 13369, 547, 10146, 519, 4641, 540, 11046, 610, 1769, 1281, 711, 1611, 972, 568, 1100, 971, 3364, 607, 11046, 610, 1769, 269, 901, 849, 10039, 547, 519, 1964, 540, 5013, 5219, 547, 1657, 563, 2252, 519, 2247, 568, 24835, 762, 540, 26762, 519, 4641, 540, 4478, 15889, 2152, 267, 875, 1223, 621, 1287, 16637, 519, 23451, 540, 922, 24835, 13369, 547, 10146, 519, 9759, 540, 519, 23942, 8682, 256, 1306, 971, 267, 2247, 779, 8086, 538, 6935, 547, 3661, 538, 2696, 267, 1401, 531, 1540, 568, 1261, 267, 6212, 1765, 14140, 543, 19466, 1765, 517, 519, 2360, 540, 2696, 779, 8585, 1097, 543, 3571, 20050, 538, 519, 20030, 543, 538, 1480, 30441, 269, 634, 3483, 540, 971, 8086, 568, 547, 917, 827, 31471, 26663, 2696, 779, 717, 3271, 1190, 18780, 543, 5900, 1026, 2373, 607, 859, 514, 1027, 538, 519, 717, 3271, 1190, 15878, 685, 534, 543, 519, 32201, 6129, 333, 1695, 267, 543, 711, 547, 10146, 610, 7854, 519, 9759, 540, 519, 23942, 8682, 269, 1306, 3254, 1657, 267, 2247, 779, 24835, 13369, 547, 10146, 519, 9759, 540, 11046, 610, 1769, 1281, 711, 2258, 622, 741, 6228, 543, 865, 568, 2247, 779, 24835, 1464, 547, 10146, 519, 23942, 8682, 563, 4504, 30698, 27801, 538, 519, 1401, 14571, 540, 2696, 454, 10048, 779, 6986, 15859, 630, 25206, 30909, 19207, 264, 568, 519, 3119, 1259, 547, 2744, 1702, 827, 543, 3661, 538, 31471, 26663, 2696, 269, 3371, 267, 6986, 15859, 1797, 812, 779, 605, 743, 2032, 547, 3494, 538, 519, 5168, 267, 1904, 585, 1434, 543, 11760, 519, 6228, 540, 2290, 2696, 5808, 814, 2813, 519, 7122, 543, 5808, 2834, 3278, 621, 269, 901, 8226, 610, 9637, 540, 519, 6228, 540, 2696, 814, 1044, 513, 1455, 21000, 1588, 1851, 519, 3003, 8103, 2094, 519, 4098, 540, 5137, 543, 2394, 2696, 9100, 1080, 519, 3618, 543, 945, 1197, 568, 593, 621, 563, 2005, 568, 3020, 602, 971, 18941, 910, 528, 6986, 15859, 268, 568, 693, 2053, 2953, 543, 693, 824, 2053, 25302, 269, 1717, 267, 621, 2760, 4413, 525, 2963, 543, 11760, 618, 540, 519, 6228, 540, 2696, 610, 19169, 547, 13924, 269, 634, 1686, 540, 9082, 543, 6082, 267, 2250, 543, 1459, 267, 1449, 5809, 547, 519, 9860, 540, 519, 15859, 540, 14344, 543, 18468, 538, 519, 6228, 540, 2696, 1851, 18642, 543, 3540, 1242, 6082, 7567, 269, 898, 729, 849, 1336, 602, 6082, 267, 5103, 741, 3017, 538, 4654, 267, 1131, 2769, 741, 8086, 593, 543, 4606, 2509, 2696, 267, 543, 538, 2490, 621, 568, 3020, 547, 3409, 602, 3661, 538, 2696, 814, 2141, 1044, 972, 1851, 782, 6082, 267, 2250, 543, 1459, 563, 308, 526, 16040, 267, 3661, 538, 2696, 568, 513, 1455, 8226, 1851, 3425, 267, 1762, 610, 2025, 267, 17399, 656, 610, 4121, 267, 20585, 610, 5100, 267, 3540, 1242, 610, 4608, 2753, 1242, 267, 519, 20822, 543, 519, 1134, 3146, 1584, 539, 267, 543, 519, 13719, 543, 519, 14544, 7567, 269, 2353, 6082, 543, 2950, 723, 8197, 6829, 713, 15859, 538, 835, 1259, 610, 1776, 269, 901, 1455, 8226, 1851, 3425, 568, 7682, 539, 538, 519, 15878, 685, 23307, 14235, 602, 14509, 2676, 2108, 263, 8855, 264, 607, 707, 7083, 3576, 689, 519, 25994, 540, 14088, 267, 689, 741, 19758, 267, 741, 15556, 267, 543, 1500, 873, 7703, 7198, 7282, 2933, 267, 2048, 8649, 594, 711, 707, 7083, 286, 685, 1358, 1767, 267, 2048, 8133, 8197, 267, 649, 7703, 7198, 10200, 630, 3383, 267, 581, 2264, 264, 602, 596, 1058, 711, 2161, 593, 519, 4303, 540, 1763, 18675, 267, 2048, 306, 675, 569, 649, 941, 646, 539, 1652, 540, 713, 10200, 892, 630, 304, 584, 685, 534, 267, 476, 278, 281, 15094, 994, 1607, 14235, 12799, 6920, 602, 31471, 26663, 2696, 1500, 1480, 20339, 7703, 7198, 602, 1261, 568, 741, 7083, 543, 29763, 267, 543, 602, 891, 20339, 15861, 6616, 13924, 543, 1449, 4328, 547, 3571, 700, 3581, 1222, 1279, 1354, 789, 3357, 883, 713, 1158, 269, 901, 568, 519, 5728, 602, 1169, 1480, 1582, 2501, 547, 713, 1158, 1247, 8876, 513, 22514, 15607, 540, 713, 23942, 595, 19879, 602, 568, 6719, 538, 519, 538, 947, 656, 8226, 540, 519, 6228, 543, 700, 3581, 1222, 540, 31471, 26663, 2696, 563, 763, 717 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1220, 279, 269, 16515, 828, 17533, 538, 519, 9576, 21785, 13108, 1282, 519, 2112, 269, 570, 573, 1087, 330, 337, 3424, 564, 3954, 715, 832, 651, 2274, 613, 1150, 940, 476, 12553, 263, 2190, 2567, 30525, 279, 268, 27868, 272, 563, 4002, 334, 267, 670, 1421, 631, 3120, 330, 9564, 267, 681, 1421, 17578, 15843, 342, 10440, 267, 631, 1421, 543, 30554, 25431, 267, 962, 269, 476, 1220, 274, 269, 9050, 2665, 540, 17422, 21061, 1851, 2620, 5498, 320, 29940, 630, 514, 5545, 1040, 918, 2131, 330, 27495, 476, 4281, 263, 277, 2567, 4510, 280, 268, 3393, 273, 563, 303, 699, 345, 8566, 15120, 2006, 267, 595, 1421, 966, 1173, 553, 267, 631, 13034, 1421, 8776, 637, 4211, 745, 345, 267, 589, 1421, 543, 16645, 541, 9418, 13305, 601, 31938, 267, 670, 269, 476, 1960, 280, 269, 6496, 10172, 12189, 17422, 21061, 286, 281, 589, 13849, 12845, 3315, 3749, 2689, 269, 30446, 476, 14138, 263, 275, 2567, 280, 8618, 268, 280, 6858, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15389, 279, 270, 3832, 560, 269, 14138, 269, 275, 269, 280, 8618, 454, 305, 2801, 267, 808, 269, 476, 6642, 280, 269, 634, 11848, 4525, 543, 23747, 781, 7345, 8905, 281, 7797, 540, 513, 11000, 269, 654, 4883, 6559, 326, 281, 31671, 20899, 8466, 543, 11660, 5980, 269, 476, 1556, 533, 563, 306, 4673, 10216, 267, 631, 5861, 10422, 1421, 19248, 747, 2006, 267, 681, 2529, 1421, 4858, 684, 267, 570, 1421, 715, 686, 16331, 267, 808, 1421, 661, 9383, 1495, 267, 590, 6993, 1421, 543, 645, 4669, 267, 645, 6993, 269, 476, 1220, 278, 269, 8048, 4598, 543, 1974, 2632, 4345, 538, 2475, 4079, 269, 4750, 540, 11270, 7267, 3194, 476, 5655, 10857, 2567, 3393, 268, 7367, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 9340, 272, 10768, 269, 8182, 271, 268, 5881, 277, 276, 269, 1220, 277, 269, 27947, 1724, 11859, 454, 306, 1046, 541, 267, 590, 11065, 1421, 590, 1046, 541, 267, 590, 1421, 13850, 9655, 267, 590, 1421, 543, 17020, 344, 641, 611, 1506, 599, 267, 590, 269, 476, 1001, 273, 269, 5410, 2581, 781, 2068, 269, 12634, 11916, 19239, 3588, 476, 274, 263, 275, 2567, 4366, 275, 268, 4366, 277, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 25148, 274, 270, 6021, 278, 277, 268, 26801, 311, 269, 13040, 14596, 454, 19913, 342, 520, 6390, 267, 674, 269, 476, 6245, 280, 269, 634, 3406, 585, 15284, 269, 589, 2239, 540, 519, 1977, 16939, 896, 31924, 5576, 342, 520, 6390, 267, 476, 6942, 279, 547, 476, 6642, 271, 269, 5507, 281, 570, 269, 20307, 543, 25860, 269, 476, 14096, 533, 563, 19913, 342, 520, 6390, 267, 674, 1421, 543, 29571, 335, 1961, 267, 661, 6993, 269, 476, 3422, 276, 269, 634, 7043, 11848, 3406, 282, 519, 2239, 540, 31924, 19291, 5576, 342, 520, 6390, 267, 772, 2529, 6993, 1421, 476, 6942, 279, 268, 6642, 271, 267, 5275, 519, 5638, 540, 519, 4503, 15284, 16939, 269, 3733, 10973, 267, 21086, 281, 13149, 8466, 5948, 269, 476, 14056, 533, 563, 307, 2033, 10937, 267, 715, 14389, 1421, 667, 3107, 571, 267, 590, 1421, 14600, 2145, 267, 589, 1421, 10878, 3306, 267, 631, 1421, 543, 14977, 698, 328, 267, 808, 2529, 269, 476, 1001, 271, 269, 29901, 14385, 1756, 21061, 13973, 1308, 9542, 267, 2208, 10654, 543, 18959, 3599, 26737, 1646, 568, 15427, 676, 12192, 595, 269, 12813, 24382, 2290, 476, 276, 263, 276, 2567, 1714, 5400, 277, 271, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15389, 272, 1315, 4760, 4877, 821, 269, 9826, 5400, 277, 271, 454, 307, 549, 525, 5287, 267, 654, 269, 476, 1220, 277, 269, 634, 1390, 1291, 1216, 10612, 9568, 269, 11062, 267, 12590, 281, 20037, 4964, 563, 309, 559, 3832, 2763, 267, 595, 1421, 19134, 2006, 267, 570, 1421, 1284, 514, 4459, 267, 645, 1421, 543, 10496, 10849, 267, 654, 10611, 1421, 12789, 269, 476, 1001, 274, 269, 29901, 14385, 1756, 21061, 568, 8626, 27274, 6213, 547, 11318, 676, 513, 6171, 595, 14001, 674, 550, 517, 5114, 269, 7186, 18058, 476, 275, 281, 476, 6642, 272, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 14672, 1260, 916, 29579, 279, 454, 310, 12291, 267, 700, 14371, 269, 476, 1220, 276, 269, 19410, 776, 281, 6925, 267, 2551, 267, 543, 21061, 269, 4139, 4750, 540, 25731, 5735, 476, 4097, 263, 274, 2567, 276, 2641, 268, 276, 2190, 563, 10059, 2517, 8742, 3820, 270, 1015, 269, 11820, 274, 270, 6359, 324, 7933, 344, 25632, 9834, 8381, 2006, 267, 667, 5861, 269, 476, 1960, 272, 269, 1133, 30584, 1782, 519, 15284, 9814, 281, 27478, 21981, 269, 27292, 281, 17755, 650, 268, 20075, 523, 781, 2160, 4964, 269, 476, 29496, 533, 563, 734, 269, 476, 1960, 276, 269, 5899, 13377, 1851, 721, 269, 27292, 281, 17755, 650, 268, 20075, 523, 781, 2160, 4964, 269, 476, 14917, 533, 563, 24841, 338, 267, 681, 1421, 543, 17125, 2023, 267, 715, 269, 476, 1960, 278, 269, 1323, 693, 20393, 540, 16972, 9019, 269, 20506, 23051, 281, 20506, 23051, 2160, 4964, 269, 476, 13679, 533, 563, 313, 809, 267, 645, 5861, 1421, 5507, 267, 654, 11053, 1421, 590, 1197, 267, 808, 11482, 1421, 543, 590, 21516, 267, 681, 8160, 269, 476, 3192, 277, 269, 21885, 1291, 5862, 15464, 538, 1875, 16058, 28516, 269, 594, 269, 11916, 4191, 543, 1576, 269, 4750, 540, 6481, 10021, 26331, 476, 276, 263, 272, 2567, 2537, 268, 2412, 563, 305, 639, 8688, 590, 269, 19248, 747, 2006, 267, 630, 272, 264, 8751, 24162, 630, 273, 264, 543, 4460, 623, 269, 5839, 292, 659, 3062, 630, 274, 994, 263, 272, 264, 4856, 22046, 532, 2278, 281, 4972, 540, 11270, 2632, 923, 543, 17327, 6925, 267, 2160, 540, 12309, 3427, 540, 19239, 3588, 267, 476, 6200, 272, 3345, 2160, 22971, 267, 7788, 1488, 4011, 267, 12309, 476, 4366, 272, 6021, 267, 7330, 282, 18078, 17106, 11333, 3820, 454, 263, 273, 264, 476, 4375, 8187, 14986, 20000, 267, 15917, 5211, 267, 19566, 17197, 1559, 2473, 6734, 476, 271, 305, 275, 267, 4516, 454, 263, 274, 264, 570, 879, 321, 2006, 2657, 7070, 7732, 267, 476, 13647, 276, 5101, 21965, 9335, 267, 2160, 540, 12309, 267, 7788, 1488, 4011, 267, 12309, 476, 4366, 272, 6021, 267, 7330, 454, 263, 3725, 18727, 476, 2420, 4728, 476, 1001, 277, 282, 7608, 538, 15428, 1106, 476, 4029, 4864, 476, 1001, 277, 994, 25519, 1632, 281, 16658, 269, 476, 272, 269, 10934, 540, 3751, 5261, 6816, 267, 715, 684, 822, 583, 269, 6029, 519, 15284, 16939, 781, 1634, 543, 21483, 11507, 630, 1042, 546, 14414, 1899, 1040, 15845, 849, 5267, 602, 693, 2547, 930, 540, 519, 12284, 13986, 513, 2132, 547, 519, 9635, 1310, 606, 3355, 10205, 618, 538, 476, 7277, 279, 630, 13582, 546, 14414, 1899, 1916, 25519, 1632, 281, 16658, 269, 476, 273, 269, 7353, 21106, 540, 3879, 13577, 5711, 2175, 281, 589, 264, 23227, 566, 540, 3339, 14264, 514, 18254, 538, 513, 2635, 1367, 630, 321, 18847, 7696, 1040, 5440, 7696, 281, 7108, 23240, 30836, 2147, 547, 1346, 4080, 676, 8065, 585, 513, 22403, 16626, 689, 918, 310, 296, 267, 8385, 11911, 547, 31924, 7338, 667, 1495, 553, 2274, 26751, 935, 974, 630, 295, 5960, 661, 516, 24650, 1040, 10765, 18837, 11132, 16646, 5267, 519, 20258, 3788, 949, 723, 1044, 1346, 540, 3220, 269, 16452, 6153, 338, 597, 267, 18874, 5991, 1823, 626, 540, 519, 15284, 16939, 630, 300, 904, 1696, 620, 1421, 476, 1001, 272, 1040, 645, 264, 13038, 4609, 540, 19856, 656, 5959, 1286, 625, 269, 595, 264, 543, 667, 264, 17327, 15087, 2404, 609, 7646, 1085, 584, 11803, 1519, 28332, 31470, 10216, 543, 11702, 630, 290, 267, 15561, 264, 543, 2530, 540, 5160, 630, 291, 267, 21985, 1040, 661, 264, 23227, 566, 540, 3063, 7394, 14264, 2670, 538, 606, 1367, 609, 5410, 2581, 781, 2068, 6281, 547, 19505, 269, 3115, 22004, 609, 10479, 630, 2704, 5336, 600, 926, 1696, 620, 1421, 476, 1220, 280, 1040, 8074, 602, 519, 4216, 8720, 519, 4064, 814, 1044, 4158, 2989, 689, 519, 3312, 4137, 269, 674, 264, 9253, 534, 2670, 540, 519, 32336, 630, 541, 4900, 264, 538, 606, 1367, 609, 5410, 2581, 781, 2068, 563, 25519, 1632, 281, 16658, 269, 476, 274, 269, 29138, 2203, 585, 519, 5711, 2783, 540, 519, 15284, 12284, 269, 3776, 2203, 5267, 602, 21061, 538, 14966, 609, 1085, 584, 11803, 543, 1291, 15464, 8507, 538, 2113, 10706, 21061, 267, 3056, 547, 29427, 1202, 340, 11797, 610, 5410, 2581, 781, 2068, 269, 5410, 2581, 781, 2068, 2589, 1331, 834, 323, 787, 543, 2182, 543, 3109, 257, 28182, 267, 23535, 528, 267, 18024, 267, 27830, 267, 543, 9854, 563, 307, 21764, 476, 272, 269, 11192, 1297, 540, 14327, 689, 29191, 573, 32212, 299, 12114, 543, 2506, 19668, 950, 1761, 3123, 616, 18084, 609, 2182, 267, 3109, 267, 3819, 5023, 269, 10434, 267, 4563, 267, 16959, 267, 631, 1926, 543, 3267, 18482, 15636, 592, 1143, 595, 2456, 8048, 590, 2017, 11803, 10060, 14010, 29191, 573, 32212, 299, 12114, 476, 6858, 476, 277, 1240, 476, 2537, 476, 271, 476, 275, 2506, 19668, 476, 6200, 476, 16328, 476, 736, 476, 4375, 476, 1704, 11192, 14263, 476, 9818, 476, 277, 5952, 476, 2918, 476, 4375, 262, 476, 866, 5918, 27289, 10434, 267, 4563, 267, 16959, 267, 631, 1926, 543, 3267, 18482, 30926, 21281, 19505, 5410, 2581, 781, 29191, 573, 32212, 299, 12114, 476, 12553, 476, 4037, 476, 275, 476, 273, 2506, 19668, 476, 5952, 476, 2420, 476, 4037, 476, 2641, 11192, 14263, 476, 4489, 476, 10463, 476, 10463, 476, 866, 5918, 27289, 630, 272, 264, 22291, 2164, 689, 16861, 19707, 538, 4832, 476, 1001, 276, 269, 570, 21764, 476, 273, 269, 13022, 725, 950, 1761, 3123, 616, 18084, 609, 2182, 267, 3109, 267, 3819, 5023, 269, 13445, 12474, 7089, 15636, 592, 1143, 15482, 1416, 476, 272, 5253, 25645, 7762, 592, 1143, 476, 1691, 6428, 10474, 476, 1321, 3502, 4143, 476, 10602, 16265, 4973, 476, 9818, 15482, 1286, 625, 9435, 2126, 476, 2918, 595, 2456, 2126, 476, 13040, 4886, 476, 2004, 23369, 476, 2412, 25731, 5735, 476, 4029, 18264, 5735, 476, 7871, 18726, 476, 276, 594, 520, 4088, 545, 476, 275, 5843, 13060, 476, 3393, 2473, 518, 739, 558, 807, 476, 7918, 31999, 476, 274, 3502, 4143, 476, 29045, 16265, 4973, 476, 277, 5952, 8048, 22452, 476, 275, 8048, 1899, 476, 272, 29392, 2530, 476, 272, 3502, 4143, 476, 736, 16265, 4973, 476, 2918, 590, 2017, 11803, 10960, 3631, 476, 273, 3778, 476, 1691, 17327, 2783, 476, 279, 3502, 4143, 476, 1428, 16265, 4973, 476, 4375, 10060, 14010, 15978, 476, 272, 10960, 2090, 476, 273, 2876, 11043, 13753, 476, 1015, 4676, 29623, 476, 274, 966, 6018, 4731, 845, 725, 476, 274, 16265, 4973, 476, 866, 30926, 9435, 3797, 270, 3249, 476, 280, 25731, 1108, 476, 7367, 18264, 5735, 476, 5655, 2876, 11043, 610, 10368, 476, 2412, 31814, 476, 272, 17327, 2657, 10866, 540, 5020, 630, 15121, 304, 334, 299, 264, 476, 273, 853, 8724, 476, 1240, 3590, 545, 2360, 476, 1691, 570, 22568, 17550, 476, 1015, 30926, 14264, 2670, 476, 274, 16265, 4973, 476, 4489, 21281, 17327, 2657, 476, 273, 25665, 476, 736, 853, 8724, 476, 736, 9615, 476, 2537, 3502, 4143, 476, 279, 16265, 4973, 476, 10463, 16515, 828, 17533, 3131, 1640, 531, 4681, 476, 275, 5623, 2376, 476, 273, 19505, 27418, 476, 6078, 3502, 4143, 476, 2918, 16265, 4973, 476, 10463, 5410, 2581, 781, 15214, 335, 580, 7695, 476, 273, 2068, 5623, 1957, 476, 274, 3502, 4143, 476, 1691, 16265, 4973, 476, 866, 11192, 476, 14338, 279, 570, 21764, 476, 274, 269, 13022, 725, 585, 3819, 543, 2182, 543, 3109, 5023, 269, 5729, 17327, 2783, 4080, 4330, 476, 6642, 272, 834, 5278, 540, 519, 3043, 2367, 941, 1360, 6094, 267, 543, 741, 28182, 941, 3819, 543, 2182, 543, 3109, 1701, 476, 6642, 272, 7183, 476, 6245, 280, 834, 763, 3043, 2367, 267, 1767, 13259, 331, 836, 344, 1695, 267, 941, 1510, 9663, 7802, 282, 930, 540, 873, 941, 1360, 6094, 267, 543, 741, 28182, 941, 2182, 543, 3819, 543, 3109, 1701, 476, 3422, 276, 834, 5445, 6743, 6094, 543, 12816, 856, 543, 741, 28182, 941, 3819, 267, 11702, 543, 3109, 1701, 476, 2735, 278, 7183, 476, 1960, 272, 834, 5278, 540, 519, 3043, 2367, 941, 1360, 6094, 267, 543, 741, 28182, 941, 3819, 543, 2182, 543, 3109, 1701, 5729, 27478, 22108, 4080, 20626, 476, 6642, 272, 13259, 331, 836, 344, 1695, 630, 294, 843, 518, 267, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4923, 612, 12346, 593, 5033, 24939, 2864, 982, 593, 519, 1297, 540, 9136, 1063, 519, 1079, 2035, 267, 799, 568, 21678, 676, 519, 3017, 538, 30704, 640, 1063, 3334, 540, 519, 772, 7876, 306, 563, 8201, 476, 273, 2982, 875, 834, 10468, 1188, 257, 543, 834, 309, 324, 1231, 257, 616, 5697, 689, 519, 11937, 540, 834, 309, 324, 514, 540, 8405, 267, 715, 5308, 2668, 4014, 519, 2725, 17239, 2165, 834, 23175, 257, 568, 693, 519, 1482, 3845, 607, 834, 309, 324, 1231, 2580, 621, 568, 711, 5697, 1317, 621, 568, 606, 22660, 540, 1776, 5697, 2165, 9497, 10468, 1188, 257, 1916, 347, 8310, 3525, 1881, 281, 2904, 476, 1789, 267, 476, 1001, 280, 1475, 4512, 1790, 3016, 273, 2008, 299, 3855, 547, 3776, 26317, 912, 30054, 3563, 10830, 2817, 4741, 585, 4437, 32441, 18058, 1475, 308, 2529, 269, 2817, 7732, 540, 6925, 1475, 13233, 23941, 540, 2657, 2008, 347, 23430, 540, 2657, 543, 5274, 7896, 347, 0, 1607, 3992, 786, 1469, 519, 23020, 6127, 602, 616, 4299, 676, 10786, 15969, 799, 21391, 513, 2030, 779, 2702, 547, 30075, 11254, 7408, 269, 634, 4644, 540, 11254, 7408, 543, 5946, 786, 849, 581, 4330, 269, 634, 10786, 8336, 9848, 874, 657, 622, 267, 786, 581, 6594, 693, 3259, 267, 1519, 519, 8441, 1500, 676, 24684, 563, 5319, 1609, 320, 682, 764, 18059, 694, 1033, 718, 541, 17505, 17485, 605, 806, 657, 6915, 638, 6403, 6193, 657, 6446, 5067, 513, 2739, 15606, 11188, 17485, 10786, 545, 573, 553, 6446, 7409, 523, 3288, 521, 6403, 660, 8412, 632, 11254, 5451, 322, 573, 657, 679, 15255, 2030, 553, 269, 1530, 2277, 597, 5451, 512, 3711, 328, 26408, 3288, 1104, 4545, 807, 632, 17485, 11254, 5451, 322, 573, 657, 586, 15255, 2926, 6403, 19063, 269, 1546, 28075, 783, 812, 5028, 267, 694, 1459, 541, 5451, 796, 1609, 644, 1470, 1033, 718, 5964, 1642, 10786, 545, 5866, 1350, 604, 657, 6737, 1496, 301, 24179, 325, 657, 325, 517, 2210, 559, 9984, 326, 997, 2088, 3910, 13141, 8500, 754, 334, 17485, 1285, 1734, 646, 577, 657, 11188, 3288, 1979, 1774, 322, 333, 860, 17144, 563, 295, 8538, 15969, 602, 21391, 519, 2504, 540, 519, 4839, 3481, 5832, 11254, 7408, 1130, 710, 267, 682, 1075, 710, 543, 568, 1961, 1075, 710, 616, 1031, 585, 2698, 10664, 2359, 543, 16496, 18290, 1852, 538, 513, 2647, 3099, 540, 7031, 269, 1703, 616, 4867, 2185, 1114, 3114, 3885, 602, 2671, 713, 17834, 288, 269, 6969, 519, 1646, 540, 9848, 874, 657, 622, 2389, 16260, 7693, 2029, 267, 4839, 3481, 5832, 11254, 3679, 20127, 941, 519, 1292, 560, 599, 585, 1896, 2101, 4737, 7031, 269, 2755, 713, 568, 1869, 513, 1360, 1271, 10786, 8336, 17834, 288, 267, 519, 2101, 2333, 538, 10786, 8336, 4187, 18047, 2094, 476, 2735, 271, 814, 1044, 519, 1463, 1267, 5542, 2604, 689, 891, 10786, 15969, 269, 1703, 616, 4867, 811, 18290, 2249, 11259, 547, 4839, 3481, 5832, 11254, 3679, 20127, 982, 1022, 824, 10786, 8336, 17834, 288, 563, 1607, 3992, 786, 1491, 606, 538, 3178, 2070, 540, 875, 2371, 6023, 4914, 6464, 630, 343, 523, 984, 7821, 264, 971, 607, 10786, 15969, 269, 898, 786, 1865, 519, 1614, 1292, 11775, 602, 2371, 946, 547, 6023, 6757, 6464, 267, 799, 11476, 616, 3238, 538, 891, 23020, 24740, 267, 875, 891, 3157, 948, 2149, 7031, 1586, 20239, 25570, 6464, 543, 2015, 519, 2956, 540, 891, 3157, 547, 3811, 18290, 2359, 269, 0, 300, 8568, 6052, 6693, 2507, 907, 568, 606, 1898, 851, 540, 519, 7122, 543, 568, 1271, 585, 2635, 2208, 543, 519, 11944, 540, 782, 2713, 7919, 269, 634, 3047, 3294, 568, 513, 5458, 11275, 609, 2318, 543, 2942, 630, 333, 2180, 543, 5045, 264, 18635, 269, 4658, 723, 2141, 5030, 538, 713, 6419, 2361, 268, 2863, 559, 5063, 269, 769, 519, 2250, 5553, 267, 938, 10340, 814, 2919, 3889, 630, 4614, 601, 5656, 264, 543, 6191, 630, 322, 1513, 267, 14884, 543, 14742, 264, 602, 723, 22314, 519, 2095, 540, 713, 1648, 267, 799, 814, 3366, 547, 513, 5786, 538, 922, 4222, 563, 5978, 6211, 3157, 538, 519, 1560, 616, 6417, 676, 6419, 4610, 269, 4658, 267, 2831, 543, 938, 3618, 723, 513, 6419, 2361, 269, 4746, 519, 2281, 267, 6675, 543, 8444, 269, 20290, 3388, 563, 8005, 1568, 609, 6419, 4610, 888, 1103, 1082, 4529, 6419, 2361, 968, 1492, 2805, 892, 568, 7839, 543, 9631, 30876, 6974, 269, 769, 3127, 267, 3567, 267, 3624, 543, 849, 538, 519, 7330, 269, 3509, 267, 1082, 2013, 2090, 543, 1995, 5359, 6961, 602, 519, 2126, 609, 6419, 4610, 3217, 2476, 1082, 20286, 543, 568, 1360, 2500, 269, 1306, 513, 2339, 540, 1576, 267, 22197, 616, 1031, 607, 606, 4244, 563, 763, 946, 540, 22197, 538, 519, 2361, 540, 5026, 568, 2810, 811, 543, 811, 269, 26465, 525, 3112, 543, 798, 711, 1616, 547, 1521, 2933, 609, 5061, 585, 1082, 4128, 607, 1279, 607, 789, 723, 513, 1434, 4244, 269, 7324, 824, 1919, 267, 621, 568, 5393, 1271, 585, 606, 19002, 602, 646, 543, 1010, 1560, 16956, 4733, 538, 519, 20125, 2009, 942, 267, 689, 19194, 543, 7063, 267, 538, 1931, 547, 581, 4712, 585, 2962, 1586, 607, 3533, 607, 2009, 269, 4256, 1560, 1058, 581, 2111, 547, 22919, 476, 1911, 260, 2773, 269, 634, 6419, 2361, 3797, 666, 1683, 782, 713, 563, 288, 628, 2280, 525, 917, 741, 1560, 543, 5612, 1745, 1018, 568, 1434, 585, 873, 269, 1358, 616, 1434, 5605, 817, 611, 832, 585, 519, 1379, 540, 22197, 563, 300, 24599, 3156, 585, 22591, 267, 1035, 1575, 21913, 610, 18552, 454, 300, 1725, 1115, 610, 6419, 15649, 616, 23295, 4294, 547, 1978, 22591, 2798, 267, 607, 789, 723, 1044, 8810, 547, 3310, 519, 2095, 540, 1648, 538, 519, 5789, 573, 2103, 630, 17238, 532, 610, 1648, 10092, 264, 538, 519, 1560, 563, 1103, 519, 1858, 540, 519, 6419, 4610, 267, 12274, 630, 20791, 30788, 9901, 5536, 264, 616, 1305, 538, 5163, 269, 901, 5036, 519, 1648, 2095, 538, 5163, 267, 799, 1287, 19082, 2417, 2059, 519, 5789, 573, 2103, 610, 998, 824, 5160, 3889, 269, 3414, 519, 2799, 1648, 2095, 17615, 3625, 1137, 666, 581, 15702, 563, 19013, 267, 6419, 3797, 568, 711, 2943, 476, 1911, 260, 23963, 6444, 563, 1432, 616, 22197, 1031, 585, 2221, 888, 268, 19449, 27218, 14242, 454, 268, 10266, 630, 10175, 1394, 267, 2212, 267, 3092, 8094, 268, 654, 895, 7067, 454, 268, 630, 16443, 2193, 264, 11005, 454, 268, 13262, 28057, 454, 268, 27488, 3761, 454, 268, 27571, 7067, 3157, 630, 324, 3052, 269, 1310, 18655, 267, 744, 11679, 994, 268, 26094, 540, 519, 4761, 1062, 454, 268, 1996, 1164, 1973, 2604, 454, 268, 21561, 538, 2773, 454, 268, 10307, 538, 519, 2281, 568, 4824, 454, 268, 4824, 8229, 1599, 454, 268, 630, 577, 3055, 264, 6553, 454, 268, 543, 1454, 811, 7498, 7617, 2472, 666, 581, 1031, 547, 1683, 1648, 888, 268, 4438, 519, 1554, 281, 6184, 3421, 267, 1216, 543, 4470, 593, 519, 454, 268, 8433, 610, 1286, 281, 10160, 3382, 454, 268, 10610, 281, 9925, 749, 2044, 281, 7328, 344, 610, 5929, 454, 268, 7136, 720, 16945, 281, 1507, 4528, 281, 4012, 706, 334, 2676, 268, 585, 7649, 3498, 281, 4012, 16579, 528, 2676, 268, 5026, 18552, 609, 1114, 18552, 2157, 281, 32650, 330, 582, 13224, 454, 268, 2311, 3781, 281, 20974, 816, 3382, 267, 24120, 267, 10788, 578, 267, 12008, 9633, 454, 1432, 1995, 723, 596, 1185, 609, 519, 946, 540, 22197, 689, 21208, 5287, 888, 25712, 298, 298, 2894, 13804, 1115, 16179, 281, 1280, 707, 2635, 1272, 538, 3666, 563, 25712, 298, 298, 2894, 13804, 1115, 9462, 356, 366, 538, 938, 2729, 454, 2171, 616, 7683, 11303, 676, 2959, 971, 607, 20367, 14768, 630, 19491, 668, 24599, 1143, 264, 630, 324, 3052, 269, 676, 5985, 11436, 543, 5904, 264, 602, 666, 581, 5739, 547, 721, 563, 301, 1731, 5287, 568, 513, 6205, 538, 6419, 2029, 543, 21208, 5287, 568, 513, 6205, 538, 519, 1646, 540, 2472, 602, 948, 547, 11177, 519, 2175, 896, 799, 1004, 1058, 2661, 563, 301, 1731, 5287, 2472, 616, 6353, 676, 10124, 602, 10646, 873, 689, 782, 824, 2472, 593, 519, 2344, 269, 1358, 9192, 2757, 1702, 609, 2413, 2029, 543, 4359, 2029, 269, 634, 1267, 568, 513, 1587, 1899, 602, 4564, 4052, 543, 6899, 3435, 547, 519, 3232, 2591, 540, 1272, 269, 0, 347, 6828, 16390, 454, 347, 27189, 513, 8074, 454, 347, 5213, 622, 18745, 454, 296, 6573, 18306, 19611, 4888, 301, 5495, 301, 4753, 16774, 910, 2910, 305, 2177, 16787, 7644, 4785, 454, 8310, 10543, 18226, 856, 609, 2828, 267, 835, 540, 741, 796, 3380, 267, 945, 781, 21783, 609, 513, 4487, 781, 4110, 543, 945, 5249, 538, 30715, 345, 1156, 11233, 630, 10817, 836, 323, 784, 19435, 267, 3624, 264, 2366, 1864, 519, 1739, 4967, 593, 27649, 585, 5583, 912, 272, 269, 1403, 596, 723, 513, 2196, 5500, 9224, 543, 838, 583, 636, 267, 596, 723, 513, 1455, 4411, 454, 273, 269, 27649, 16415, 568, 513, 3819, 11522, 609, 1100, 2196, 5500, 9224, 563, 274, 269, 901, 1007, 3644, 568, 711, 3002, 15033, 543, 786, 581, 7166, 676, 513, 2837, 540, 1175, 476, 2918, 270, 2767, 5232, 269, 898, 554, 919, 519, 6129, 563, 275, 269, 1403, 2576, 14229, 324, 8240, 609, 621, 267, 621, 3217, 827, 476, 1015, 3952, 1354, 621, 12772, 547, 519, 2666, 543, 568, 1100, 3476, 23197, 563, 276, 269, 1403, 621, 12772, 593, 513, 4496, 2627, 621, 786, 2661, 585, 693, 2547, 476, 1321, 3108, 910, 865, 952, 596, 2097, 883, 3346, 609, 1022, 4496, 2627, 910, 11547, 707, 3946, 607, 4166, 607, 596, 666, 609, 513, 9190, 12853, 563, 277, 269, 2201, 5958, 621, 666, 7639, 585, 476, 277, 268, 1321, 3108, 269, 3339, 27445, 28052, 550, 786, 6146, 621, 563, 278, 269, 25530, 3636, 1216, 568, 2500, 585, 782, 8290, 269, 8347, 711, 547, 4235, 15559, 609, 4672, 563, 279, 269, 25169, 707, 3946, 4749, 607, 519, 3644, 666, 1152, 2661, 593, 707, 3946, 585, 476, 276, 268, 1015, 3764, 267, 855, 910, 513, 2603, 666, 4755, 1282, 602, 942, 910, 596, 666, 6299, 707, 4064, 267, 4584, 707, 9224, 7938, 9231, 569, 543, 865, 593, 563, 280, 269, 1411, 1058, 849, 575, 1173, 548, 607, 513, 6604, 269, 589, 2241, 3070, 540, 6070, 538, 3636, 1216, 786, 3411, 823, 563, 1015, 269, 2052, 1405, 3746, 1047, 2614, 910, 4235, 7899, 540, 1216, 2336, 272, 269, 898, 786, 1101, 3468, 519, 11563, 267, 865, 596, 3513, 723, 513, 15319, 11563, 9434, 476, 274, 270, 275, 2395, 454, 273, 269, 634, 3644, 1287, 24025, 883, 513, 17725, 5714, 602, 13788, 519, 30439, 320, 543, 1287, 519, 9641, 267, 4929, 16415, 269, 901, 3217, 827, 476, 276, 270, 277, 2395, 2417, 563, 274, 269, 2060, 519, 16415, 2501, 1164, 8611, 543, 7411, 538, 7244, 563, 275, 269, 634, 17725, 20316, 568, 711, 899, 519, 3339, 2186, 269, 1411, 1745, 899, 596, 2811, 546, 20621, 269, 898, 781, 16122, 596, 1287, 3343, 7525, 3007, 563, 9915, 3918, 4696, 5990, 654, 16704, 910, 623, 4041, 17955, 15562, 22664, 563, 8923, 948, 2974, 609, 2659, 8081, 267, 555, 343, 454, 17357, 517, 8785, 1627, 543, 589, 302, 330, 16921, 547, 12172, 267, 891, 616, 711, 1250, 1913, 267, 711, 1250, 1344, 267, 930, 5013, 6148, 4636, 267, 930, 616, 1175, 10750, 1455, 2631, 269, 594, 6415, 20171, 13746, 609, 1344, 607, 594, 1265, 621, 267, 594, 8885, 993, 11821, 676, 621, 782, 865, 10950, 8292, 15828, 3855, 952, 596, 723, 1022, 1344, 563, 14011, 298, 2894, 20978, 5990, 20796, 17162, 31178, 10758, 294, 3198, 22003, 9569, 454, 20062, 2969, 4959, 5046, 268, 866, 888, 763, 1034, 1455, 2589, 540, 5046, 268, 866, 616, 8611, 267, 13110, 1145, 267, 543, 3819, 11522, 269, 2368, 2550, 949, 723, 31191, 543, 24074, 267, 17725, 20316, 267, 2196, 5500, 9224, 267, 15319, 11563, 610, 13165, 269, 1452, 2589, 616, 2356, 7646, 543, 2253, 7930, 269, 2368, 1004, 1831, 7783, 855, 1810, 1406, 1020, 1022, 2589, 543, 1810, 1405, 1745, 796, 6202, 269, 4107, 1004, 630, 12671, 476, 3199, 8472, 9156, 689, 519, 2068, 1510, 17596, 2027, 2126, 269, 15907, 476, 272, 856, 540, 1169, 476, 277, 1004, 945, 4991, 5046, 268, 866, 3587, 12517, 2192, 543, 10953, 7411, 7244, 269, 24771, 1004, 267, 543, 1346, 609, 5817, 2564, 2042, 899, 1164, 1973, 2604, 267, 2295, 2042, 610, 3987, 267, 616, 811, 2693, 547, 1020, 521, 454, 306 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10560, 3427, 910, 19360, 8940, 269, 5035, 673, 3766, 3726, 541, 17469, 2593, 7300, 269, 594, 993, 1869, 10010, 609, 1620, 10253, 269, 5871, 2871, 10560, 2480, 2297, 269, 1548, 5280, 803, 609, 1565, 10253, 7620, 729, 547, 27655, 519, 10230, 3270, 540, 891, 5546, 269, 594, 5000, 596, 547, 1353, 2575, 3069, 267, 607, 621, 568, 606, 1898, 3693, 547, 9921, 12372, 1222, 269, 5053, 13176, 10253, 616, 1031, 676, 8106, 25803, 267, 1166, 29546, 1723, 13176, 1235, 543, 4224, 543, 15690, 13176, 1235, 945, 6999, 547, 2285, 741, 2575, 513, 5053, 1745, 269, 1411, 666, 2731, 24996, 909, 707, 13176, 1151, 657, 609, 713, 4336, 256, 2368, 1451, 1134, 998, 3308, 1797, 267, 1247, 1866, 3479, 547, 3384, 4887, 3965, 936, 942, 269, 634, 661, 23191, 5634, 4336, 568, 1031, 1419, 538, 8106, 267, 15690, 543, 4496, 2575, 267, 607, 621, 666, 24996, 909, 707, 1151, 657, 269, 2986, 1576, 519, 1592, 568, 23062, 762, 267, 18106, 543, 711, 782, 10253, 585, 1880, 2010, 540, 2575, 616, 3769, 267, 855, 621, 3947, 596, 513, 1434, 16315, 540, 519, 1034, 4122, 1031, 10253, 585, 13176, 269, 11683, 2480, 2297, 269, 594, 3513, 1397, 596, 15690, 13176, 10253, 538, 1169, 2990, 543, 1883, 269, 1284, 849, 1294, 538, 519, 3381, 602, 649, 666, 723, 513, 4336, 3337, 4358, 593, 1114, 12673, 267, 689, 519, 1970, 552, 5569, 630, 277, 628, 5569, 264, 782, 519, 1259, 909, 547, 519, 1164, 552, 5569, 630, 272, 560, 5569, 1040, 634, 595, 2101, 4336, 568, 513, 1390, 13176, 4336, 585, 14987, 547, 1376, 609, 1317, 1082, 824, 7405, 267, 899, 519, 14440, 267, 616, 5129, 538, 519, 1883, 540, 595, 269, 901, 786, 948, 596, 1451, 547, 1404, 2059, 609, 824, 7405, 607, 596, 4434, 538, 707, 13176, 25178, 532, 3460, 269, 10253, 585, 8106, 13176, 910, 8277, 10548, 790, 345, 8277, 10548, 790, 345, 18190, 2871, 10560, 18671, 788, 11781, 12697, 910, 5071, 8571, 902, 910, 9509, 17361, 269, 1215, 547, 6258, 26629, 806, 269, 6423, 670, 8582, 9215, 623, 6369, 312, 590, 16810, 2207, 674, 17129, 993, 328, 14662, 3201, 2464, 269, 22227, 269, 968, 901, 729, 519, 2243, 594, 4280, 1250, 4116, 267, 29484, 8055, 267, 1082, 630, 28236, 264, 1296, 3516, 950, 594, 1101, 3323, 1565, 8106, 13176, 269, 5053, 13176, 10253, 616, 1031, 676, 8106, 25803, 267, 1166, 29546, 1723, 13176, 1235, 543, 4224, 543, 15690, 13176, 1235, 945, 6999, 547, 2285, 741, 2575, 513, 5053, 1745, 269, 0, 2414, 3142, 713, 2029, 547, 519, 16758, 267, 519, 2319, 4857, 1614, 10124, 789, 3494, 616, 2565, 585, 1981, 9781, 281, 24973, 9781, 942, 267, 519, 18593, 946, 540, 1875, 268, 13548, 1981, 2188, 267, 543, 2409, 547, 2327, 5812, 2773, 2066, 4791, 5468, 563, 1103, 6254, 547, 1981, 9781, 568, 1565, 689, 2550, 609, 1114, 5666, 540, 1246, 5346, 267, 543, 12570, 1981, 693, 1114, 942, 2798, 281, 713, 666, 3313, 875, 1419, 789, 1205, 29971, 267, 2436, 789, 1058, 723, 29433, 9196, 267, 610, 1256, 2015, 15324, 5574, 563, 7212, 621, 779, 2009, 547, 5721, 5094, 3631, 547, 2708, 1981, 585, 1142, 942, 1448, 267, 713, 1935, 666, 1267, 538, 1981, 10526, 602, 1810, 1406, 1118, 2631, 2443, 899, 17782, 602, 513, 3461, 814, 513, 2362, 1981, 540, 3384, 2860, 1369, 1079, 1296, 982, 789, 798, 1369, 2947, 1296, 563, 2414, 6451, 2620, 19543, 1981, 3631, 883, 4791, 4808, 267, 519, 3631, 1590, 1685, 9846, 2066, 3309, 4791, 5054, 267, 543, 922, 11236, 3112, 581, 4299, 676, 5634, 7648, 899, 799, 3684, 519, 7882, 6945, 729, 3144, 593, 563, 300, 4275, 328, 24973, 3631, 513, 3461, 779, 1981, 2066, 2789, 2104, 942, 2798, 267, 543, 666, 4781, 958, 4324, 689, 4791, 1981, 2188, 971, 607, 2085, 610, 1920, 1686, 267, 952, 789, 616, 2139, 563, 5649, 519, 2347, 2376, 693, 281, 3377, 269, 2466, 12975, 0, 271, 476, 271, 269, 12551, 979, 1141, 519, 1426, 568, 269, 4495, 2390, 513, 942, 267, 972, 5030, 513, 1762, 8004, 1572, 595, 785, 699, 12848, 269, 5901, 606, 3750, 856, 585, 3165, 2534, 267, 971, 607, 18616, 267, 10943, 10449, 267, 610, 1256, 1166, 4169, 540, 17237, 5017, 269, 3502, 1152, 568, 713, 22196, 267, 855, 621, 4012, 1227, 25815, 942, 1524, 269, 634, 2034, 835, 1131, 3280, 1732, 952, 596, 1767, 1412, 5503, 13733, 676, 8339, 3590, 476, 272, 568, 827, 3206, 3728, 267, 1247, 3590, 476, 273, 568, 827, 3206, 3500, 269, 5384, 13733, 865, 3728, 1310, 6107, 568, 2250, 602, 649, 3112, 9585, 835, 3368, 519, 1082, 1919, 649, 723, 538, 2247, 610, 8197, 835, 3368, 938, 11645, 269, 4746, 267, 17509, 1058, 723, 513, 2312, 3483, 269, 26272, 267, 942, 4422, 676, 865, 3728, 267, 3085, 1405, 621, 286, 1879, 519, 5967, 518, 6238, 1022, 2243, 609, 519, 8360, 267, 834, 27855, 513, 942, 950, 596, 29389, 713, 568, 513, 5365, 602, 621, 781, 513, 8965, 5967, 2243, 543, 596, 1058, 4431, 609, 513, 1650, 827, 513, 1808, 3510, 1210, 519, 5254, 2752, 1505, 267, 609, 590, 815, 23063, 6672, 267, 570, 815, 17130, 267, 589, 815, 11059, 267, 543, 681, 815, 28088, 269, 5681, 332, 2456, 616, 3500, 267, 1247, 10207, 616, 3728, 269, 10396, 4753, 24505, 2177, 589, 29376, 292, 13242, 547, 4766, 1945, 602, 5949, 538, 519, 2250, 267, 513, 1279, 942, 3516, 269, 898, 729, 513, 1483, 8749, 269, 4746, 267, 6108, 930, 942, 2469, 936, 519, 3017, 1063, 519, 2462, 543, 2370, 1688, 593, 519, 9219, 267, 21458, 873, 865, 519, 3214, 1100, 799, 568, 799, 269, 543, 5225, 267, 1100, 2942, 8292, 256, 631, 2131, 6062, 1912, 11717, 269, 634, 1249, 540, 4835, 4070, 540, 942, 2306, 621, 513, 3810, 544, 4150, 762, 5420, 269, 6178, 538, 269, 25684, 269, 14674, 519, 942, 950, 596, 4682, 1657, 543, 3564, 540, 1018, 729, 4397, 689, 596, 269, 19532, 5588, 292, 281, 834, 5503, 10596, 865, 3728, 257, 1411, 666, 2161, 621, 267, 855, 621, 9327, 1405, 581, 2953, 269, 1411, 723, 835, 8792, 547, 1589, 827, 1018, 596, 2811, 2469, 547, 2161, 269, 1284, 949, 581, 683, 2130, 519, 1439, 269, 4634, 1250, 1126, 945, 814, 513, 2110, 942, 7406, 547, 3490, 6476, 543, 4704, 593, 267, 814, 11329, 856, 602, 942, 568, 2469, 3728, 269, 13517, 281, 6258, 811, 2081, 547, 4766, 942, 538, 2296, 269, 910, 528, 268, 2005, 781, 3368, 2250, 1079, 269, 1684, 519, 1739, 5220, 723, 519, 2560, 1533, 569, 18781, 269, 594, 1810, 1406, 1294, 1864, 1419, 267, 1498, 649, 2911, 513, 7008, 540, 2053, 513, 3923, 269, 1358, 1810, 1406, 6108, 513, 2603, 540, 942, 10977, 1472, 891, 13719, 2127, 269, 1358, 2901, 4941, 2696, 547, 1689, 873, 267, 547, 1689, 741, 6381, 267, 610, 547, 7866, 1945, 547, 2560, 5808, 6487, 286, 1677, 3500, 1524, 1175, 798, 519, 6587, 269, 3500, 543, 17159, 269, 1677, 2327, 602, 596, 5265, 2626, 713, 2243, 268, 596, 1590, 2232, 519, 5817, 2055, 538, 513, 6073, 602, 2337, 547, 5031, 707, 1983, 543, 5759, 269, 1548, 798, 596, 1589, 540, 519, 4267, 286, 834, 2691, 257, 1281, 711, 3277, 547, 942, 607, 6027, 676, 513, 9219, 267, 855, 3252, 602, 2049, 1927, 609, 610, 607, 513, 1267, 540, 1142, 824, 269, 476, 271, 476, 271, 269, 1452, 1079, 1949, 616, 875, 649, 1589, 269, 1261, 1419, 2048, 1721, 12033, 685, 547, 798, 1919, 646, 16219, 646, 1131, 269, 14674, 513, 13962, 602, 596, 10150, 2469, 547, 269, 11109, 1913, 547, 4766, 938, 3665, 3871, 666, 948, 721, 1732, 1921, 609, 519, 1004, 1472, 721, 945, 616, 2469, 998, 519, 1482, 2833, 269, 476, 272, 8717, 3516, 269, 476, 1704, 4267, 269, 11408, 2307, 2696, 585, 7326, 630, 22832, 476, 272, 281, 276, 264, 538, 14621, 547, 875, 543, 585, 875, 1279, 1261, 6499, 596, 547, 3728, 269, 634, 4059, 2329, 540, 2792, 814, 5483, 938, 942, 8226, 269, 898, 779, 1134, 4502, 513, 1224, 607, 519, 1433, 6941, 1585, 2035, 543, 2306, 596, 1589, 513, 2603, 827, 875, 649, 979, 827, 3664, 269, 910, 528, 268, 2005, 781, 513, 10116, 547, 2185, 269, 901, 2243, 666, 2097, 909, 538, 11042, 585, 6009, 693, 782, 2157, 267, 689, 7127, 7400, 547, 10324, 269, 5192, 707, 4267, 676, 6998, 1631, 269, 4399, 321, 1122, 532, 4981, 259, 1411, 666, 1405, 834, 704, 576, 633, 257, 942, 2469, 538, 1022, 1114, 834, 323, 3925, 257, 982, 519, 4287, 538, 799, 621, 568, 834, 4707, 257, 1934, 269, 476, 10436, 269, 513, 3500, 3350, 610, 2962, 1281, 711, 4755, 3728, 269, 16837, 569, 18781, 269, 645, 281, 1325, 2819, 286, 1452, 2010, 540, 2055, 616, 5921, 585, 596, 547, 4766, 513, 6405, 1383, 540, 596, 11744, 513, 5551, 5578, 269, 708, 1603, 513, 1650, 543, 1775, 991, 513, 1259, 547, 4766, 707, 2295, 25588, 2731, 3728, 899, 922, 27613, 18009, 856, 540, 707, 9221, 269, 2311, 1459, 267, 2048, 852, 262, 814, 1831, 519, 1007, 19108, 269, 1717, 267, 24096, 666, 849, 581, 1031, 607, 519, 9350, 1354, 519, 7088, 267, 610, 547, 9446, 513, 1915, 2469, 883, 8710, 1310, 513, 2462, 2680, 269, 4855, 811, 2081, 547, 2161, 3728, 267, 2059, 609, 1644, 1913, 267, 1884, 11618, 543, 1383, 2453, 693, 634, 28445, 2593, 267, 519, 1158, 781, 1034, 11967, 1863, 519, 28445, 269, 476, 272, 281, 1428, 281, 898, 781, 835, 19939, 269, 16532, 855, 2348, 606, 19070, 531, 540, 1913, 602, 6257, 13778, 2053, 513, 2370, 1732, 2337, 721, 1174, 938, 4664, 543, 5968, 873, 269, 898, 4667, 899, 942, 8952, 2469, 676, 5488, 607, 594, 1205, 4587, 269, 1261, 779, 2731, 16168, 269, 476, 1321, 281, 876, 7537, 281, 898, 781, 28813, 269, 661, 574, 2967, 318, 17951, 32221, 282, 594, 6415, 12922, 11062, 3081, 621, 666, 581, 606, 30163, 1862, 10839, 3728, 1496, 17004, 13093, 7497, 316, 30163, 3533, 281, 634, 8009, 729, 3361, 676, 1004, 6117, 1932, 3728, 538, 3983, 2175, 269, 19452, 267, 513, 1434, 26575, 4991, 1919, 2944, 1317, 789, 1152, 723, 547, 581, 5143, 2899, 875, 547, 798, 873, 269, 634, 1152, 2922, 543, 24534, 1544, 568, 547, 1118, 824, 1919, 2285, 1259, 547, 519, 30304, 267, 543, 519, 1101, 540, 891, 568, 8038, 10068, 269, 5384, 13733, 899, 606, 15561, 282, 4829, 13733, 899, 513, 19337, 6902, 264, 6875, 513, 476, 1015, 2381, 2228, 543, 1863, 31246, 2296, 14970, 1449, 543, 2697, 519, 2127, 596, 991, 547, 2087, 519, 1034, 269, 645, 281, 1325, 2819, 286, 589, 281, 898, 781, 942, 547, 979, 1753, 1631, 269, 594, 1031, 547, 1413, 899, 513, 2203, 2899, 2390, 513, 942, 269, 1677, 2417, 21179, 622, 519, 3390, 540, 2713, 938, 3728, 19550, 2729, 267, 519, 3515, 1063, 2123, 3734, 543, 960, 3734, 723, 1831, 23324, 269, 6271, 2262, 585, 3728, 269, 1411, 3513, 723, 547, 957, 3728, 269, 634, 544, 4150, 1464, 540, 942, 269, 519, 6371, 729, 865, 3039, 621, 5433, 899, 1775, 729, 538, 513, 4023, 12682, 1446, 630, 5408, 875, 3983, 1775, 993, 693, 873, 24047, 2334, 2882, 782, 519, 2790, 3157, 269, 589, 6093, 2243, 568, 267, 834, 27855, 513, 942, 950, 707, 24913, 729, 5230, 543, 875, 596, 17411, 621, 1701, 5384, 13733, 269, 1306, 513, 1267, 267, 649, 616, 2451, 942, 2275, 14725, 3481, 267, 14129, 267, 543, 2560, 5384, 2095, 538, 2239, 1603, 568, 6417, 676, 519, 3432, 540, 2621, 2921, 1747, 538, 519, 1603, 3294, 269, 8382, 16440, 269, 1496, 2791, 786, 723, 547, 2911, 827, 519, 1888, 585, 835, 547, 1079, 3764, 269, 700, 341, 476, 277, 269, 1533, 569, 3350, 568, 3500, 543, 11931, 269, 1635, 7384, 519, 9095, 3259, 267, 596, 666, 3313, 875, 3728, 519, 1286, 568, 10707, 269, 476, 5952, 269, 21379, 584, 3072, 18781, 269, 6822, 622, 18781, 269, 1261, 15055, 1818, 20868, 24668, 267, 3622, 693, 519, 1034, 20025, 4090, 269, 898, 568, 849, 1031, 547, 2253, 1453, 779, 2984, 269, 1358, 849, 1810, 1406, 899, 10977, 1996, 2178, 14768, 267, 865, 6288, 3054, 693, 519, 1439, 540, 835, 269, 1717, 267, 646, 666, 581, 513, 2370, 31877, 3006, 269, 899, 19838, 269, 3500, 267, 6297, 267, 543, 20982, 269, 6027, 18781, 269, 901, 15320, 689, 824, 2010, 540, 5967, 2055, 602, 1223, 7363, 581, 12943, 609, 513, 2262, 610, 1079, 269, 13053, 5219, 547, 8653, 950, 646, 5206, 1010, 4031, 540, 6323, 269, 589, 7580, 1589, 518, 666, 2097, 909, 609, 1896, 3435, 547, 4194, 513, 1966 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2360, 8470, 607, 1134, 607, 3842, 3337, 6106, 269, 1358, 616, 2139, 3842, 513, 6749, 1524, 538, 519, 6772, 599, 607, 1134, 607, 16657, 607, 1134, 607, 8482, 563, 30791, 568, 4294, 2066, 610, 15497, 610, 1022, 5086, 2066, 606, 3239, 269, 634, 5169, 540, 519, 5276, 666, 581, 3330, 610, 3544, 540, 519, 3561, 269, 898, 3096, 519, 1699, 2681, 1315, 1566, 13369, 13515, 630, 553, 609, 24293, 3092, 1040, 1411, 666, 4019, 621, 936, 543, 936, 269, 1411, 666, 1689, 519, 5086, 540, 3498, 269, 1411, 666, 4019, 621, 1360, 2110, 865, 596, 4945, 543, 8749, 543, 5305, 538, 513, 2110, 3845, 610, 596, 666, 3382, 519, 3003, 3561, 543, 3564, 543, 519, 1267, 540, 519, 4778, 6383, 786, 4096, 593, 519, 3259, 563, 763, 24293, 1374, 5932, 513, 9764, 1374, 630, 11004, 568, 1100, 14248, 18967, 673, 4183, 855, 972, 568, 513, 960, 1472, 1040, 898, 3096, 519, 5169, 1448, 607, 1134, 607, 519, 3259, 689, 519, 1376, 1448, 630, 743, 10107, 593, 519, 3561, 264, 547, 519, 10856, 5305, 1315, 1439, 1448, 269, 1403, 596, 1616, 513, 1507, 9764, 1374, 267, 4945, 609, 519, 10856, 543, 5305, 3533, 547, 1711, 513, 1360, 2110, 3259, 269, 1403, 596, 1616, 513, 1804, 9764, 1374, 267, 8749, 689, 519, 4099, 856, 2072, 3564, 519, 23451, 540, 519, 3561, 563, 306, 611, 569, 267, 519, 3498, 814, 1100, 10956, 4183, 630, 16341, 3156, 723, 713, 4183, 971, 607, 1849, 760, 22456, 264, 855, 596, 666, 1711, 782, 2186, 540, 8258, 6272, 676, 1210, 20367, 2681, 13515, 538, 519, 9375, 267, 865, 2824, 24293, 543, 1287, 979, 547, 519, 9375, 676, 14467, 593, 519, 1699, 1095, 564, 538, 519, 1283, 3046, 543, 1287, 4946, 20367, 13515, 971, 607, 3109, 543, 3043, 543, 3109, 543, 3043, 3092, 269, 6611, 873, 856, 693, 476, 276, 260, 610, 476, 1015, 260, 1142, 942, 563, 292, 961, 18967, 673, 1315, 2112, 335, 454, 2467, 568, 1100, 14248, 18967, 673, 4781, 855, 596, 666, 946, 519, 24293, 543, 1287, 2981, 602, 269, 8564, 519, 1907, 689, 519, 2645, 8470, 543, 1287, 979, 547, 519, 9375, 676, 14467, 519, 1095, 564, 538, 519, 1852, 3046, 543, 1039, 513, 476, 271, 260, 1566, 13369, 3247, 693, 519, 9663, 1492, 560, 1318, 630, 604, 596, 723, 513, 3247, 972, 2907, 267, 6521, 621, 5594, 865, 596, 666, 1039, 513, 3247, 693, 476, 1911, 22103, 1411, 786, 1287, 723, 11413, 543, 606, 6316, 547, 707, 1095, 564, 799, 596, 666, 1631, 4019, 547, 519, 4494, 269, 4495, 4294, 267, 979, 547, 519, 4494, 10624, 543, 5100, 3615, 543, 6460, 547, 5100, 1843, 543, 1287, 2981, 519, 4494, 3842, 519, 12575, 10624, 543, 2981, 547, 25837, 519, 1374, 883, 606, 14248, 18967, 673, 3337, 630, 528, 2965, 1022, 824, 3337, 952, 596, 946, 2112, 335, 2645, 607, 1134, 994, 15675, 519, 5086, 543, 621, 786, 5352, 513, 598, 673, 1374, 543, 596, 666, 1305, 519, 5169, 1022, 1141, 543, 519, 1374, 786, 6445, 519, 5542, 610, 519, 3561, 269, 634, 4778, 786, 979, 689, 476, 271, 547, 476, 11740, 5232, 543, 952, 519, 4778, 616, 519, 1482, 585, 519, 1101, 543, 1439, 13515, 1287, 596, 786, 1711, 513, 5347, 1374, 269, 1403, 519, 4778, 616, 1114, 1287, 596, 786, 1294, 513, 8325, 6316, 538, 707, 1148, 630, 6518, 666, 581, 3730, 994, 1607, 5932, 513, 10956, 540, 519, 4540, 1095, 564, 543, 10630, 1394, 269, 1403, 4294, 2066, 519, 3003, 3561, 2161, 689, 2451, 547, 1318, 621, 5526, 711, 547, 960, 269, 15233, 621, 689, 519, 4099, 610, 3330, 519, 3561, 543, 979, 856, 2072, 1287, 596, 786, 1294, 519, 8086, 563, 291, 3554, 1180, 1315, 12384, 454, 2005, 5932, 676, 9949, 513, 14776, 1374, 855, 621, 666, 581, 6537, 693, 476, 3393, 5232, 543, 5932, 513, 4009, 1374, 269, 1411, 666, 2990, 519, 1376, 1448, 9170, 543, 666, 946, 1022, 3259, 547, 1711, 513, 1507, 610, 2462, 1374, 563, 2467, 568, 513, 3803, 835, 630, 7474, 568, 711, 3773, 547, 519, 824, 2127, 540, 519, 3498, 264, 543, 713, 666, 581, 1336, 950, 596, 2824, 513, 3337, 543, 1287, 979, 547, 519, 4494, 10624, 543, 4494, 2360, 543, 979, 547, 519, 8482, 3296, 543, 2824, 6445, 1826, 543, 979, 585, 13506, 543, 1287, 979, 547, 519, 6749, 1524, 596, 786, 3337, 16802, 693, 519, 5377, 540, 519, 1592, 269, 634, 4336, 814, 1100, 1198, 6862, 1281, 5086, 630, 296, 993, 14281, 789, 616, 2139, 264, 2705, 596, 666, 946, 519, 2450, 2361, 693, 519, 1283, 540, 519, 8470, 269, 0, 5522, 1218, 267, 899, 3425, 267, 2154, 1426, 543, 1216, 547, 7639, 269, 2290, 1259, 540, 4543, 2371, 1332, 568, 676, 1210, 11003, 543, 5277, 13226, 563, 12709, 29972, 9669, 454, 8702, 547, 1775, 294, 31678, 6200, 454, 328, 294, 31678, 6200, 2593, 2488, 17667, 29972, 543, 5851, 29972, 9669, 585, 30488, 269, 898, 568, 10416, 513, 4760, 540, 1018, 594, 723, 1044, 3257, 538, 1250, 4677, 563, 1692, 547, 3399, 513, 12567, 454, 2467, 616, 1082, 4128, 1946, 513, 1268, 1131, 899, 547, 1376, 513, 4677, 269, 2368, 798, 621, 607, 513, 15908, 269, 11524, 1317, 540, 519, 991, 547, 3548, 2635, 5214, 5388, 543, 5613, 269, 4935, 3395, 741, 1378, 1426, 568, 519, 1259, 547, 979, 269, 11524, 1317, 540, 519, 9837, 547, 4688, 2724, 282, 5388, 543, 5613, 630, 18034, 519, 5214, 3283, 264, 723, 1831, 811, 7199, 538, 14770, 625, 269, 1717, 267, 4358, 513, 4677, 666, 3006, 2611, 607, 513, 6999, 995, 3206, 269, 1284, 22876, 2858, 3729, 610, 1628, 1114, 4128, 540, 1946, 649, 3274, 3112, 2253, 610, 1832, 909, 563, 4517, 649, 5873, 519, 8912, 6898, 899, 912, 14881, 1131, 723, 4941, 547, 267, 855, 594, 6557, 711, 513, 3039, 14853, 28461, 14881, 1810, 1406, 723, 519, 942, 547, 798, 621, 1317, 540, 1250, 960, 3034, 14881, 3274, 1810, 1406, 899, 15700, 519, 3037, 282, 621, 779, 18660, 3034, 14881, 1810, 1406, 723, 2724, 547, 4444, 2645, 267, 19155, 267, 543, 5452, 3034, 1692, 547, 3399, 29972, 454, 1692, 798, 596, 1265, 12202, 286, 1684, 596, 1265, 621, 18447, 888, 2080, 616, 2241, 3268, 547, 1376, 707, 4677, 912, 3721, 476, 272, 281, 7827, 707, 19773, 630, 3430, 3363, 264, 4724, 12202, 269, 15526, 666, 1332, 513, 4677, 269, 9282, 930, 1004, 616, 2731, 9952, 543, 22064, 267, 621, 1281, 711, 1611, 596, 3112, 1332, 513, 2030, 269, 630, 296, 4126, 547, 6961, 602, 3025, 666, 693, 2547, 2030, 267, 543, 811, 865, 1332, 513, 4677, 8094, 3721, 476, 273, 281, 12315, 942, 547, 707, 4677, 269, 29972, 666, 581, 513, 1434, 3635, 282, 621, 568, 9354, 563, 3721, 476, 274, 281, 1703, 616, 2053, 950, 649, 991, 547, 581, 18660, 547, 3251, 2635, 282, 543, 12202, 568, 835, 540, 891, 2053, 563, 3721, 476, 275, 281, 3807, 1376, 513, 4677, 609, 1018, 596, 723, 269, 1684, 596, 917, 602, 594, 3323, 1250, 4677, 689, 519, 10448, 27191, 594, 723, 286, 8786, 267, 596, 666, 1332, 519, 27191, 540, 519, 14546, 543, 5388, 596, 11751, 689, 519, 17365, 563, 3721, 476, 276, 281, 4860, 529, 527, 713, 3135, 543, 1577, 721, 3136, 547, 1451, 689, 1142, 824, 563, 3721, 476, 277, 281, 4427, 18285, 547, 938, 20394, 547, 5781, 4309, 4388, 543, 10311, 563, 3721, 476, 278, 281, 17949, 269, 8347, 547, 723, 1187, 607, 596, 1451, 267, 4603, 267, 543, 2124, 7568, 563, 12179, 3135, 596, 3643, 267, 1433, 596, 1224, 267, 610, 32529, 596, 2911, 547, 786, 1034, 4440, 2285, 596, 519, 1482, 9133, 281, 12775, 585, 1494, 1540, 2371, 563, 288, 18290, 949, 581, 4330, 607, 1022, 2030, 610, 10664, 602, 14443, 338, 8105, 610, 26216, 6859, 267, 971, 607, 3395, 7031, 267, 21737, 2831, 267, 610, 14237, 4104, 24914, 563, 288, 18290, 949, 1256, 581, 3989, 607, 1022, 2030, 3395, 1141, 621, 568, 711, 4941, 269, 1280, 3236, 267, 513, 2030, 949, 581, 3407, 610, 3730, 538, 513, 4677, 267, 3484, 267, 610, 24873, 269, 1809, 952, 519, 1482, 2030, 4679, 1141, 621, 24506, 519, 1871, 540, 6694, 3132, 610, 24401, 2812, 12716, 610, 2825, 2956, 267, 621, 568, 2808, 513, 18290, 269, 8616, 267, 930, 2371, 616, 1869, 18047, 7488, 540, 1141, 789, 1332, 563, 8794, 6995, 12406, 585, 2371, 286, 898, 779, 513, 3860, 1935, 547, 1065, 17123, 1945, 602, 1131, 6382, 2842, 909, 538, 519, 17885, 563, 295, 832, 564, 841, 568, 606, 28033, 2030, 609, 1100, 5810, 602, 616, 711, 1152, 1390, 585, 707, 17428, 855, 849, 814, 513, 1297, 540, 1072, 2640, 563, 2252, 596, 1616, 606, 10731, 2887, 4677, 267, 1376, 9544, 707, 7031, 544, 1749, 28026, 269, 634, 1883, 568, 547, 2030, 3728, 21212, 7031, 1247, 519, 3037, 568, 1869, 3636, 865, 602, 519, 5452, 10351, 3729, 18334, 269, 3371, 616, 3670, 5388, 602, 596, 666, 1332, 1631, 585, 513, 2887, 7556, 281, 595, 1075, 3784, 1107, 595, 1075, 13246, 5452, 17708, 339, 5488, 538, 3636, 5210, 267, 543, 596, 20965, 28959, 949, 723, 8697, 1082, 2371, 936, 519, 4832, 269, 29597, 518, 2371, 723, 11124, 519, 1034, 267, 543, 519, 3002, 1705, 711, 22302, 4054, 269, 2060, 782, 540, 741, 12015, 3762, 543, 4666, 5810, 267, 596, 1522, 2015, 18530, 2476, 1346, 2371, 269, 1809, 1810, 1406, 798, 602, 267, 1317, 621, 779, 711, 936, 585, 891, 2371, 269, 6206, 1491, 25498, 281, 12518, 723, 513, 1098, 17508, 20965, 31995, 707, 1378, 4829, 4677, 568, 513, 10464, 1259, 547, 1205, 707, 17705, 5613, 1318, 689, 707, 18147, 269, 7137, 1845, 666, 1332, 538, 5624, 899, 6885, 10833, 267, 16304, 30504, 267, 543, 17428, 593, 707, 1273, 1470, 269, 19663, 15708, 538, 11149, 723, 7899, 540, 2640, 267, 971, 607, 2370, 547, 1100, 649, 5338, 543, 5329, 22376, 7714, 2476, 689, 707, 5613, 269, 6206, 20965, 31995, 707, 3484, 3085, 1406, 991, 5458, 2244, 267, 513, 8778, 528, 267, 543, 2347, 1582, 25252, 11797, 269, 1411, 666, 1332, 707, 1426, 3330, 707, 2777, 269, 1924, 2870, 513, 4677, 1256, 538, 513, 1507, 1753, 3884, 1406, 607, 2182, 596, 1589, 269, 1809, 596, 1732, 723, 17428, 543, 1544, 1562, 1317, 789, 786, 581, 519, 1883, 547, 707, 1753, 4677, 269, 6206, 1491, 25498, 281, 1411, 666, 20965, 2710, 596, 1616, 513, 14388, 3484, 602, 2488, 707, 1426, 543, 7031, 267, 513, 4677, 602, 7472, 8677, 540, 11922, 543, 5810, 267, 543, 513, 7226, 585, 7320, 286, 1403, 865, 267, 596, 666, 2119, 547, 1118, 513, 7989, 20628, 5117, 269, 898, 3340, 1454, 2259, 267, 9639, 267, 543, 8990, 267, 855, 621, 786, 581, 4502, 621, 2899, 596, 723, 602, 11327, 7989, 20628, 31218, 0, 25444, 9909, 540, 2713, 519, 1977, 5326, 269, 769, 1249, 267, 3013, 568, 835, 540, 519, 1034, 26195, 1221, 6082, 538, 519, 1158, 269, 4706, 11156, 267, 1259, 540, 1272, 267, 543, 519, 3255, 621, 3091, 547, 922, 1004, 616, 15028, 269, 3143, 4898, 621, 568, 519, 1158, 2706, 1379, 543, 814, 2200, 547, 22153, 531, 10136, 538, 1585, 10473, 2429, 519, 1158, 563, 2171, 786, 2328, 513, 2688, 4828, 593, 2201, 630, 8253, 264, 15775, 676, 538, 3013, 281, 9483, 11352, 543, 24770, 538, 519, 772, 2529, 269, 4481, 585, 596, 454, 22145, 14468, 5830, 2228, 454, 1103, 1840, 267, 621, 14014, 519, 1719, 540, 922, 4961, 543, 1256, 4961, 540, 824, 2477, 856, 540, 1434, 786, 269, 18831, 3112, 4383, 971, 4567, 1510, 7850, 2200, 269, 898, 568, 585, 713, 2601, 602, 3025, 6499, 547, 1305, 1010, 610, 1200, 3723, 538, 519, 2136, 2276, 563, 763, 2197, 568, 3006, 4330, 607, 513, 2244, 540, 4316, 543, 5191, 267, 1141, 4896, 8348, 547, 960, 2182, 666, 1205, 6619, 543, 1118, 513, 6899, 1272, 585, 873, 543, 741, 1920, 269, 769, 824, 1913, 267, 952, 2576, 3587, 4057, 538, 519, 2136, 2276, 267, 1287, 713, 568, 2356, 890, 13949, 593, 1010, 17017, 1378, 28919, 269, 901, 267, 1957, 786, 2689, 891, 6811, 609, 4704, 547, 22526, 661, 327, 1066, 516, 747, 779, 19162, 601, 543, 17435, 539, 267, 2201, 630, 8253, 264, 15775, 1635, 538, 3013, 269, 898, 786, 849, 20089, 547, 9305, 661, 327, 1066, 516, 747, 779, 2833, 609, 519, 1482, 6811, 630, 292, 327, 1066, 516, 747, 476, 5655, 1916, 301, 1157, 601, 543, 17435, 539, 267, 2201, 630, 8253, 264, 15775, 1635, 538, 3013, 454, 1607, 568, 513, 1650, 676, 22526, 661, 327, 1066, 516, 747, 593, 875, 1352, 13290, 547, 9305, 9276 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4343, 276, 269, 9768, 476, 7818, 24699, 277, 4029, 28143, 276, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 7917, 589, 269, 15966, 13774, 30750, 267, 5776, 267, 12052, 281, 513, 3778, 540, 12052, 2160, 538, 519, 4975, 540, 1715, 3840, 267, 476, 1220, 274, 267, 2985, 476, 18605, 454, 268, 18647, 623, 19561, 9992, 24471, 267, 18280, 690, 540, 519, 16840, 540, 519, 2605, 24471, 540, 18647, 623, 19561, 267, 476, 5002, 277, 267, 2985, 476, 1704, 454, 268, 4856, 940, 630, 4489, 279, 1070, 6032, 269, 476, 1321, 1700, 1428, 563, 268, 8176, 717, 1744, 3471, 267, 634, 3557, 6554, 585, 476, 6942, 280, 267, 476, 6942, 280, 267, 2985, 476, 6200, 454, 268, 1715, 3840, 14199, 540, 3557, 267, 22694, 894, 15015, 267, 476, 6942, 274, 267, 2985, 476, 28670, 454, 268, 834, 295, 4456, 6579, 307, 2177, 674, 23360, 9215, 18688, 6789, 306, 8780, 19611, 570, 3918, 3008, 7838, 2207, 282, 2561, 31212, 547, 1715, 3840, 8433, 5502, 540, 5261, 1773, 574, 2917, 269, 5518, 2060, 9526, 338, 32633, 1588, 540, 700, 2660, 593, 25547, 18967, 540, 932, 1173, 525, 28644, 539, 689, 901, 4975, 2668, 634, 1715, 3840, 8648, 269, 476, 866, 4728, 476, 5002, 274, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 300, 2752, 6020, 3633, 269, 12551, 4534, 28553, 2668, 634, 1715, 3840, 8648, 269, 476, 3066, 4989, 476, 6642, 271, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 295, 4456, 6579, 307, 2177, 674, 23360, 267, 808, 305, 9538, 306, 267, 654, 3633, 291, 5058, 2668, 634, 1715, 3840, 8648, 269, 476, 3066, 4989, 476, 6642, 271, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 14888, 3633, 269, 12551, 2668, 634, 1715, 3840, 8648, 269, 476, 1626, 4728, 476, 6245, 280, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 8648, 267, 7981, 1677, 519, 1715, 3840, 630, 866, 5437, 476, 3192, 271, 1040, 834, 13202, 564, 12551, 267, 1261, 328, 816, 5808, 12414, 539, 1677, 16711, 607, 19396, 267, 667, 625, 693, 476, 9262, 2668, 634, 1715, 3840, 8648, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 14701, 2969, 9391, 6601, 3150, 2668, 634, 1715, 3840, 8648, 269, 476, 2767, 4864, 476, 3422, 271, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 300, 3041, 306, 808, 8085, 8656, 674, 23360, 9215, 654, 3633, 654, 11482, 269, 645, 3918, 2464, 292, 282, 5822, 667, 5922, 540, 16803, 12551, 1621, 3042, 547, 513, 12312, 540, 11427, 269, 11612, 326, 1231, 540, 5507, 267, 595, 2207, 4932, 2177, 312, 5442, 5990, 9501, 305, 5058, 6004, 269, 6601, 3150, 13201, 14066, 14086, 9314, 338, 538, 14522, 734, 3891, 1772, 6276, 700, 269, 6601, 3150, 781, 13605, 515, 342, 2668, 634, 1715, 3840, 8648, 269, 476, 1724, 5412, 476, 5002, 278, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 301, 11246, 962, 3036, 298, 2207, 14192, 2464, 11083, 21598, 2177, 307, 5919, 654, 269, 700, 269, 6601, 3150, 267, 918, 2683, 538, 11135, 267, 4477, 323, 606, 2296, 8189, 2668, 634, 1715, 3840, 8648, 269, 476, 1704, 4728, 476, 4489, 276, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 291, 308, 17395, 5508, 21614, 311, 289, 7838, 294, 4047, 27107, 6020, 2464, 631, 3041, 306, 23184, 292, 4041, 307, 282, 5822, 1977, 1261, 328, 816, 547, 581, 17214, 513, 667, 31866, 1087, 538, 853, 267, 7338, 781, 654, 6865, 2894, 631, 15477, 670, 2207, 27334, 6020, 17803, 23448, 867, 2435, 23227, 566, 14033, 519, 5783, 676, 674, 3133, 710, 590, 697, 572, 619, 5901, 338, 17318, 22084, 344, 4534, 1234, 4003, 693, 11427, 269, 3619, 324, 2280, 781, 5851, 2668, 634, 1715, 3840, 8648, 269, 476, 1556, 5437, 476, 5002, 274, 269, 8158, 476, 2641, 5412, 476, 1001, 277, 563, 268, 834, 299, 867, 681, 269, 769, 5886, 11860, 518, 530, 2644, 8277, 19811, 282, 19656, 540, 16099, 540, 681, 2135, 7921, 515, 3057, 3072, 547, 28042, 1290, 9037, 2920, 816, 538, 5507, 269, 24583, 3000, 344, 729, 513, 10555, 269, 5696, 728, 267, 667, 5922, 540, 17623, 700, 2714, 773, 19811, 267, 654, 517, 3689, 11773, 3371, 514, 834, 763, 8585, 787, 4032, 612, 1701, 1715, 3840, 8648, 267, 476, 275, 5437, 476, 4572, 271, 267, 533, 269, 476, 1626, 3910, 630, 322, 2787, 1152, 7565, 2407, 2376, 994, 268, 834, 300, 11965, 269, 808, 15121, 301, 654, 269, 595, 7473, 299, 2207, 2668, 634, 1715, 3840, 8648, 269, 476, 3192, 276, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 297, 15121, 301, 595, 7473, 299, 2207, 14192, 2464, 282, 700, 32670, 589, 645, 3198, 298, 2207, 267, 476, 7830, 282, 16588, 540, 8055, 267, 4446, 2284, 1299, 3213, 269, 12984, 10615, 540, 594, 11053, 269, 1299, 570, 269, 4534, 1412, 5400, 12370, 22588, 3724, 2668, 634, 1715, 3840, 8648, 269, 476, 866, 4728, 476, 4198, 271, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 300, 3041, 306, 15444, 6579, 312, 681, 269, 674, 23360, 9215, 654, 3633, 5919, 667, 5922, 540, 16803, 12551, 547, 3057, 787, 3627, 12338, 2401, 540, 15588, 1467, 267, 7136, 2668, 634, 1715, 3840, 8648, 269, 476, 1321, 2904, 476, 4489, 271, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 293, 23360, 267, 16803, 267, 12789, 269, 910, 4437, 7240, 6176, 2668, 1979, 690, 340, 728, 6983, 784, 816, 10993, 269, 4437, 7240, 30615, 540, 519, 2136, 2276, 6837, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 623, 864, 267, 18238, 630, 1960, 272, 1040, 834, 295, 15071, 12551, 267, 538, 6837, 476, 2190, 13012, 267, 667, 625, 693, 476, 9083, 2668, 634, 1715, 3840, 8648, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 30875, 1280, 3122, 267, 476, 1911, 267, 7464, 7232, 8063, 15445, 2668, 634, 1715, 3840, 8648, 269, 476, 1691, 5181, 476, 2735, 280, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 25712, 4488, 2464, 6730, 715, 7968, 4047, 310, 717, 4953, 674, 23360, 29643, 12442, 282, 1358, 4024, 25547, 633, 7969, 966, 8759, 267, 519, 1715, 3840, 5851, 543, 13518, 966, 16191, 4035, 601, 787, 269, 670, 4456, 6579, 307, 2177, 674, 23360, 12327, 4488, 7473, 3036, 1261, 25547, 633, 519, 2422, 540, 1269, 6110, 267, 1822, 4438, 3571, 17151, 8135, 4534, 4033, 19724, 2142, 638, 3949, 2668, 634, 1715, 3840, 8648, 269, 5437, 476, 275, 267, 476, 4572, 277, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 295, 4456, 6579, 307, 2177, 674, 23360, 9215, 654, 3633, 631, 11965, 269, 589, 5960, 2562, 290, 298, 282, 3571, 22580, 547, 654, 573, 578, 540, 2871, 564, 822, 589, 916, 514, 1188, 4024, 6145, 569, 2142, 7788, 6407, 901, 10432, 269, 19836, 22432, 6874, 302, 5174, 292, 29375, 21201, 654, 2839, 8582, 4173, 3689, 26036, 7171, 12984, 6276, 670, 269, 2142, 2131, 2006, 4534, 6004, 269, 12551, 267, 608, 5025, 1087, 9665, 772, 269, 590, 269, 7066, 5501, 337, 267, 1772, 513, 654, 573, 1077, 2668, 634, 1715, 3840, 8648, 269, 476, 277, 5988, 476, 4489, 273, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 295, 4456, 6579, 307, 2177, 674, 23360, 24202, 654, 3633, 291, 5058, 5919, 3571, 25141, 547, 11427, 269, 23509, 667, 11065, 269, 589, 916, 514, 1188, 547, 6875, 9255, 769, 4873, 2668, 634, 1715, 3840, 8648, 269, 476, 1789, 4989, 476, 4489, 273, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 295, 4456, 6579, 307, 2177, 674, 23360, 24202, 654, 3633, 291, 5058, 5919, 3571, 25141, 547, 11427, 269, 29775, 822, 589, 916, 514, 1188, 1772, 5590, 585, 4873, 476, 1839, 2668, 634, 1715, 3840, 8648, 269, 476, 1691, 4873, 476, 4489, 273, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 4432, 1047, 631, 269, 31550, 630, 19688, 476, 2735, 273, 1040, 834, 13233, 19193, 540, 19866, 23089, 32310, 281, 9412, 4521, 333, 543, 2961, 5846, 5600, 2668, 1715, 3840, 3557, 8433, 540, 20088, 267, 28046, 543, 19866, 27264, 269, 8158, 476, 1001, 271, 268, 1556, 268, 2641, 563, 268, 5980, 540, 519, 595, 32385, 10620, 630, 4350, 279, 1040, 681, 8803, 540, 519, 5980, 540, 519, 595, 32385, 10620, 269, 634, 5980, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 634, 1715, 4139, 5729, 3883, 269, 667, 15957, 267, 28927, 543, 7577, 269, 476, 4350, 278, 269, 533, 269, 476, 24423, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 670, 5417, 523, 267, 2826, 517, 630, 4572, 274, 1040, 834, 291, 1221, 2668, 5384, 18225, 269, 5384, 14119, 730, 281, 476, 273, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 295, 15071, 12551, 667, 625, 538, 589, 1731, 523, 267, 590, 5861, 1701, 1715, 1636, 22358, 269, 5130, 476, 1704, 267, 476, 4350, 277, 269, 533, 269, 476, 273, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 1975, 27247, 267, 7338, 661, 269, 630, 1960, 279, 1040, 7316, 1358, 2811, 8738, 1221, 281, 589, 30615, 1230, 8877, 2859, 20537, 26062, 23897, 663, 18780, 540, 31838, 31080, 8738, 1221, 538, 1977, 595, 655, 2678, 625, 267, 609, 5903, 902, 540, 3509, 8871, 5799, 4658, 945, 21518, 595, 8145, 730, 269, 2637, 7002, 16479, 14539, 1290, 269, 533, 269, 476, 24487, 269, 9768, 476, 7818, 24699, 277, 4097, 279, 2537, 271, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 19365, 18039, 6601, 3150, 267, 476, 11011, 267, 667, 625, 2668, 6115, 5403, 269, 476, 2537, 4728, 476, 1220, 271, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 295, 15071, 12551, 630, 4572, 277, 268, 1960, 277, 264, 6837, 1308, 14430, 267, 476, 3422, 279, 268, 1960, 275, 2668, 8940, 8542, 903, 331, 8542, 903, 539, 10993, 269, 1715, 3840, 3557, 7732, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 2274, 11803, 267, 19863, 807, 630, 2190, 5147, 476, 1960, 277, 1040, 834, 1724, 6874, 2207, 300, 12164, 16165, 8577, 32602, 670, 4456, 6579, 307, 2177, 674, 23360, 808, 305, 269, 14192, 2464, 2668, 6115, 5403, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 834, 21837, 654, 269, 670, 792, 560, 267, 476, 3583, 267, 14539, 15445, 2668, 634, 1715, 3840, 8648, 269, 476, 1724, 2904, 476, 2735, 277, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 623, 864, 267, 18238, 630, 2190, 5147, 476, 1960, 277, 1040, 834, 295, 15071, 12551, 12789, 1421, 476, 3583, 267, 667, 625, 282, 3487, 540, 513, 11572, 19092, 2668, 634, 1715, 3840, 8648, 269, 8158, 476, 1428, 5181, 476, 1001, 278, 563, 268, 4856, 940, 267, 589, 269, 4432, 6229, 630, 19751, 476, 4489, 279, 1040, 16803, 12551, 269, 1715, 3840, 267, 1715, 3840, 281, 634, 28469, 332, 699, 14539, 7577, 563, 268, 2136, 2276, 6837, 269, 834, 295, 15071, 12551, 4083, 630, 573, 281, 674, 1822, 16928, 29215, 4437, 7240, 30615, 540, 519, 2136, 2276, 6837, 563, 347, 310, 1731, 529, 1830, 814, 519, 1257, 540, 513, 476, 5002, 276, 1715, 4139, 15610, 2376, 827, 16803, 12551, 4083, 8198, 268, 634, 11572, 3400, 3272, 731, 454, 268, 2677, 12107, 6363, 880, 7732, 5398, 7732, 1071, 1922, 15903, 676, 16803, 12551, 10001, 269, 7732, 814, 1082, 12551, 1920, 13742, 267, 4574, 543, 23609, 593, 4159, 563, 268, 9149, 6347, 630, 29670, 8725, 4149, 341, 15077, 5652, 25201, 264, 1230, 13935, 1082, 2228, 6054, 593, 519, 12551, 7731, 563, 268, 16803, 12551, 4083, 693, 4855, 513, 3400, 557, 454, 347, 6124, 3840, 13909, 2008, 19365, 590, 269, 1849, 1952, 454, 347, 1715, 3840, 3557, 13909, 454, 19365, 670, 269, 18332, 454, 19365, 670, 269, 18332, 454, 347, 1715, 3840, 3557, 13909, 454, 347, 1715, 3840, 3557, 13909, 454, 10387, 3205, 654, 269, 1520, 4134, 454, 24730, 681, 269, 5689, 2421, 454, 347, 29150, 540, 519, 1715, 3840, 3557, 13909, 454, 6245, 276, 910, 476, 6245, 277, 454, 22832, 631, 269, 661, 269, 744, 262, 294, 2784, 344, 454, 347, 308, 2529, 269, 5600, 540, 24929, 2008, 347, 16588, 540, 519, 772, 2529, 269, 5600, 540, 24929, 454, 5228, 1715, 3840, 781, 476, 2641, 560, 18322, 1308, 8664, 454, 5002, 280, 910, 476, 4489, 272, 454, 32178, 661, 269, 1230, 24274, 0, 347, 27026, 10573, 27026, 10001, 16733, 266, 264, 1087, 11748 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14638, 326, 3287, 6661, 275, 3287, 266, 272, 8203, 273, 6629, 276, 9681, 25215, 16093, 692, 14976, 1989, 5451, 325, 4815, 632, 3288, 1187, 857, 11252, 2330, 325, 3287, 6661, 343, 317, 273, 2330, 694, 964, 680, 18054, 513, 3288, 2330, 272, 2330, 796, 21059, 476, 714, 638, 1512, 6767, 267, 694, 1609, 4275, 7299, 618, 324, 11188, 796, 3815, 632, 2330, 275, 18079, 586, 694, 964, 680, 18054, 554, 29716, 705, 26953, 2330, 276, 2330, 796, 573, 3547, 780, 26364, 5451, 325, 3821, 632, 19448, 1612, 5451, 19096, 780, 3583, 14638, 326, 3287, 6661, 276, 3287, 266, 274, 8203, 273, 6629, 273, 9681, 10170, 14638, 327, 3287, 6661, 6629, 273, 347, 343, 6629, 275, 347, 266, 274, 9681, 25215, 16093, 692, 17442, 1989, 5451, 325, 3821, 632, 2330, 325, 3287, 6661, 347, 343, 347, 2330, 1965, 1609, 328, 2784, 320, 7299, 618, 324, 11188, 796, 3815, 632, 2330, 273, 18079, 964, 680, 1794, 3385, 8880, 618, 324, 2330, 275, 2330, 796, 573, 3547, 554, 29716, 3288, 632, 516, 15939, 267, 1201, 548, 329, 3385, 513, 911, 341, 15530, 1642, 552, 16660, 8880, 267, 586, 561, 826, 2998, 964, 680, 1794, 3385, 7299, 618, 324, 2330, 274, 2330, 796, 573, 3547, 554, 29716, 818, 1026, 320, 780, 26364, 5451, 325, 3821, 632, 19448, 1187, 857, 11252, 632, 27089, 2612, 565, 19513, 780, 7761, 14638, 330, 3287, 6661, 6629, 274, 25490, 12757, 348, 6629, 272, 9681, 10463, 14638, 332, 3287, 21174, 13320, 346, 272, 2410, 273, 26507, 317, 274, 9681, 25215, 16093, 692, 17442, 1989, 5451, 325, 3821, 632, 3288, 1187, 857, 11252, 2330, 325, 3287, 6661, 343, 317, 274, 2330, 694, 6584, 830, 7299, 618, 324, 11188, 796, 3815, 632, 11377, 13320, 346, 272, 2410, 273, 6525, 780, 26364, 5451, 325, 3821, 632, 19448, 1187, 857, 11252, 524, 14243, 321, 3821, 780, 10619, 14638, 333, 3287, 21174, 13320, 346, 272, 2410, 274, 348, 347, 343, 6629, 273, 347, 9681, 4037, 14638, 335, 3287, 6661, 7268, 13320, 346, 272, 2410, 274, 26507, 8203, 274, 6629, 274, 9681, 25215, 16093, 692, 17442, 1989, 5451, 325, 3821, 632, 3288, 1187, 857, 11252, 694, 1609, 4275, 8880, 618, 324, 11188, 796, 3815, 632, 2330, 274, 2330, 586, 561, 826, 2998, 694, 964, 680, 18054, 7299, 618, 324, 554, 29716, 705, 26953, 11188, 2330, 274, 2330, 796, 573, 3547, 780, 26364, 5451, 325, 3821, 632, 19448, 1187, 857, 11252, 524, 14243, 321, 3821, 780, 10602, 14638, 336, 3287, 6661, 7268, 13320, 346, 272, 2410, 275, 26507, 8203, 274, 266, 272, 9681, 6507, 14638, 320, 3287, 21174, 6912, 346, 6629, 343, 266, 275, 15732, 25215, 16093, 692, 14976, 1989, 5451, 325, 4815, 632, 2330, 325, 3287, 21174, 6912, 12757, 6525, 694, 964, 680, 18054, 513, 3288, 632, 516, 15939, 2330, 275, 2330, 796, 573, 3547, 586, 561, 826, 2998, 694, 1201, 548, 10937, 513, 911, 341, 15530, 632, 3288, 561, 6403, 12795, 7299, 2330, 343, 284, 275, 29634, 303, 4673, 17485, 552, 329, 2075, 545, 3930, 476, 4281, 268, 10037, 267, 3351, 823, 3288, 1989, 5451, 325, 3821, 632, 3288, 8431, 3120, 513, 2585, 24265, 16948, 536, 657, 4302, 21186, 15255, 2981, 30685, 525, 19033, 553, 780, 26364, 5451, 325, 3821, 632, 796, 1135, 514, 558, 1470, 780, 4281, 14638, 326, 3287, 6661, 325, 3287, 264, 6629, 273, 9681, 8064, 14638, 326, 3287, 6661, 6629, 325, 3287, 264, 9681, 25215, 16093, 692, 26364, 5451, 325, 3821, 632, 796, 1135, 514, 558, 1470, 780, 3199, 14638, 326, 3287, 6661, 325, 3287, 266, 272, 264, 9681, 10037, 14638, 326, 3287, 6661, 325, 3287, 6629, 273, 264, 9681, 25215, 16093, 692, 26364, 5451, 325, 3821, 632, 796, 1135, 514, 558, 1470, 780, 1012, 476, 272, 269, 277, 281, 8342, 322, 542, 525, 632, 4406, 528, 12559, 565, 19513, 692, 299, 553, 1253, 534, 857, 553, 679, 1714, 796, 1853, 810, 694, 533, 4240, 523, 1199, 597, 679, 547, 323, 553, 15255, 25680, 764, 542, 525, 269, 1290, 334, 5657, 267, 1965, 3331, 374, 339, 559, 2015, 541, 3288, 1253, 4545, 807, 635, 334, 19448, 1187, 857, 11252, 632, 27089, 2612, 565, 19513, 269, 2037, 1609, 320, 694, 764, 18059, 267, 3329, 732, 21573, 15255, 30775, 542, 525, 632, 27089, 2612, 565, 19513, 269, 5487, 1187, 857, 11252, 632, 27089, 2612, 565, 19513, 694, 14039, 839, 320, 635, 14243, 333, 618, 324, 635, 334, 605, 1602, 322, 542, 541, 3288, 1253, 4545, 807, 6446, 1714, 562, 14243, 1067, 334, 1965, 632, 524, 3266, 679, 19448, 561, 6403, 12795, 1003, 2946, 878, 320, 269, 3331, 479, 331, 5040, 545, 3512, 324, 267, 16948, 524, 783, 638, 1512, 320, 6446, 4262, 1714, 27089, 632, 1303, 2784, 320, 267, 3288, 2892, 5866, 1965, 1714, 27089, 5609, 4557, 518, 679, 24140, 31980, 1714, 1129, 334, 780, 2971, 7638, 4472, 692, 272, 264, 2485, 379, 290, 6759, 15879, 694, 759, 3241, 557, 19448, 3235, 340, 24265, 632, 27089, 2612, 565, 19513, 2496, 25215, 16093, 692, 288, 6403, 338, 548, 1714, 512, 2946, 337, 2381, 334, 1642, 27089, 2612, 565, 19513, 16948, 6446, 3288, 3235, 340, 24265, 4262, 632, 3288, 1106, 320, 2330, 347, 288, 347, 284, 289, 21974, 4813, 541, 19448, 3235, 340, 24265, 1609, 762, 857, 754, 334, 3288, 1163, 637, 18059, 7202, 549, 1642, 521, 6403, 332, 2513, 334, 632, 27089, 2612, 565, 19513, 2330, 288, 18079, 267, 28075, 783, 513, 3288, 1163, 637, 18059, 1642, 17333, 549, 561, 5964, 632, 3288, 3235, 340, 24265, 267, 2330, 289, 21974, 4813, 541, 19448, 5302, 1495, 320, 3235, 340, 24265, 1609, 762, 857, 754, 334, 2330, 288, 2330, 28075, 783, 513, 3138, 1566, 340, 652, 334, 632, 3288, 1163, 637, 18059, 679, 1714, 17333, 549, 561, 5964, 632, 3288, 3235, 340, 24265, 267, 2330, 6629, 289, 21974, 1763, 3241, 557, 524, 3385, 3235, 340, 24265, 16948, 3288, 4756, 780, 273, 264, 2485, 379, 290, 6759, 15879, 694, 533, 4240, 324, 26453, 518, 23313, 19448, 1187, 857, 11252, 632, 27089, 2612, 565, 19513, 512, 1329, 324, 13121, 2330, 343, 2330, 954, 576, 335, 322, 542, 525, 5609, 1178, 325, 545, 541, 3288, 1187, 857, 11252, 2496, 274, 264, 1325, 5543, 591, 19448, 1187, 857, 11252, 632, 27089, 2612, 565, 19513, 267, 1714, 512, 2946, 337, 2381, 334, 632, 27089, 2612, 565, 19513, 513, 529, 331, 5964, 1965, 28075, 783, 513, 796, 562, 14243, 1067, 334, 2258, 520, 16343, 269, 2485, 379, 5226, 2946, 751, 18062, 1965, 334, 865, 3691, 3288, 1989, 5451, 325, 3821, 632, 3288, 1187, 857, 11252, 632, 27089, 2612, 565, 19513, 2496, 25215, 16093, 692, 17442, 1989, 5451, 325, 3821, 632, 3288, 1187, 857, 11252, 632, 27089, 2612, 565, 19513, 1100, 2267, 5633, 1714, 2330, 343, 2330, 552, 16660, 910, 324, 16660, 267, 11188, 3138, 6446, 3288, 1989, 5451, 325, 3821, 1609, 5451, 1264, 339, 3512, 324, 11188, 1958, 9874, 522, 1264, 339, 3512, 324, 11188, 3181, 26953, 1642, 2330, 343, 2330, 552, 16660, 910, 324, 16660, 780, 275, 264, 2485, 379, 290, 6759, 15879, 694, 533, 4240, 324, 3351, 714, 541, 3288, 1989, 5451, 325, 3821, 632, 19448, 1187, 857, 11252, 632, 27089, 2612, 565, 19513, 16948, 1999, 14373, 17485, 2330, 343, 2330, 910, 1998, 2803, 16948, 17485, 524, 783, 525, 17485, 1130, 2803, 632, 3288, 1187, 857, 11252, 5067, 2258, 520, 643, 657, 2496, 276, 264, 2485, 379, 290, 6759, 15879, 694, 759, 3241, 557, 15821, 3512, 324, 19448, 964, 580, 783, 323, 611, 632, 27089, 2612, 565, 19513, 2496, 25215, 16093, 692, 22958, 3266, 3313, 17485, 533, 2863, 657, 561, 6403, 332, 924, 679, 4186, 8681, 334, 3288, 630, 338, 264, 1151, 18676, 11252, 630, 338, 264, 632, 3288, 3235, 340, 24265, 269, 13139, 823, 17485, 533, 2863, 657, 632, 561, 6403, 332, 924, 16948, 1106, 541, 1064, 17156, 8884, 657, 632, 1151, 18676, 11252, 269, 18379, 10937, 796, 27089, 632, 533, 4902, 9346, 679, 524, 3385, 8884, 334, 16948, 1999, 14373, 844, 2946, 1130, 2803, 6916, 659, 523, 3288, 964, 580, 783, 323, 611, 780, 2971, 10789, 4815, 692, 277, 264, 2677, 4933, 597, 547, 323, 657, 17485, 562, 14243, 1067, 657, 2330, 343, 2330, 6446, 1609, 17505, 513, 19448, 2330, 275, 2330, 1253, 4545, 807, 1642, 562, 14243, 1067, 334, 2330, 279, 21974, 1401, 2181, 572, 1609, 334, 721, 18372, 711, 24265, 632, 27089, 2612, 565, 19513, 780, 278, 264, 2677, 4933, 597, 547, 323, 657, 17485, 562, 14243, 1067, 657, 2330, 343, 2330, 6446, 1609, 17505, 513, 19448, 11377, 13320, 346, 272, 2410, 273, 6525, 1253, 4545, 807, 1642, 562, 14243, 1067, 334, 2330, 268, 275, 21974, 1401, 2181, 572, 1609, 334, 721, 18372, 711, 24265, 632, 27089, 2612, 565, 19513, 780, 25215, 16093, 692, 2330, 347, 343, 266, 275, 347, 284, 1422, 13320, 346, 272, 2410, 273, 15732, 279, 264, 2677, 4933, 597, 3288, 2198, 24265, 679, 3288, 6446, 3288, 1253, 4545, 807, 513, 3288, 6446, 2330, 343, 2330, 694, 1958, 340, 550, 571, 1965, 324, 533, 2863, 334, 2330, 1015, 2330, 1965, 632, 620, 2367, 657, 2330, 1428, 2330, 796, 573, 3547, 269, 1401, 2181, 572, 1609, 334, 721, 18372, 711, 24265, 632, 27089, 2612, 565, 19513, 780, 280, 264, 7402, 340, 550, 571, 547, 323, 657, 17485, 1130, 2803, 632, 1187, 857, 11252, 632, 2330, 325, 3287, 14638, 5657, 812, 5028, 6446, 3288, 1253, 4545, 807, 964, 1372, 2330, 325, 3287, 14638, 26558, 320, 1714, 27089, 2330, 279, 2330, 4262, 2367, 528, 6446, 2330, 271, 269, 6734, 2330, 796, 573, 3547, 269, 1401, 2181, 572, 1609, 334, 721, 18372, 711, 24265, 632, 27089, 2612, 565, 19513, 780, 25215, 16093, 692, 2330, 347, 325, 3287, 264, 6629, 279, 347, 283, 271, 269, 6734, 9681, 303, 4673, 17485, 552, 329, 2075, 545, 3930, 476, 1015, 268, 2190, 267, 759, 3241, 557, 15255, 3235, 340, 30685, 525, 513, 2585, 24265, 586, 1163, 25564, 3288, 1365, 340, 652, 320, 721, 18372, 3288, 711, 24265, 632, 8580, 2863, 334, 780, 1015, 14638, 347, 343, 266, 274, 347, 284, 280, 9681, 1556, 14638, 347, 277, 6629, 343, 347, 284, 276, 9681, 25215, 16093, 692, 2330, 346, 272, 267, 1556, 15732, 1321, 14638, 347, 276, 343, 6629, 273, 347, 284, 1556, 9681, 1724, 14638, 347, 275, 343, 6629, 273, 347, 284, 1556, 9681, 25215, 16093, 692, 11377, 3847, 1422, 3189, 13320, 346, 280, 2410, 275, 9574, 1422, 13320, 346, 1724, 2410, 275, 348, 1422, 2431, 1422, 15732, 1691, 14638, 273, 347, 275, 6629, 343, 347, 284, 278, 9681, 1428, 14638, 274, 347, 276, 6629, 343, 347, 284, 276, 9681, 25215, 16093, 692, 11377, 3847, 1422, 3189, 13320, 346, 1015, 2410, 274, 9574, 315, 13320, 346, 736, 2410, 274, 348, 1422, 2431, 1422, 15732, 1626, 14638, 274, 347, 343, 266, 272, 347, 6629, 275, 284, 276, 9681, 1704, 14638, 276, 347, 343, 6629, 275, 347, 6629, 278, 284, 273, 9681, 25215, 16093, 692, 11377, 3847, 1422, 3189, 13320, 346, 1556, 2410, 276, 9574, 1422, 13320, 346, 3066, 2410, 276, 348, 1422, 2431, 1422, 15732, 1240, 14638, 271, 284, 6629, 347, 343, 6629, 274, 347, 266, 273, 9681, 866, 14638, 273, 347, 343, 6629, 274, 347, 266, 272, 284, 273, 9681, 25215, 16093, 692, 11377, 3847, 1422, 3189, 13320, 346, 276, 2410, 273, 9574, 1422, 13320, 346, 278, 2410, 273, 348, 1422, 2431, 1422, 15732, 736, 14638, 347, 274, 343, 6629, 273, 347, 284, 278, 9681, 2641, 14638, 347, 274, 343, 6629, 273, 347, 284, 6629, 278, 9681, 25215, 16093, 692, 306, 514, 1151, 18676, 11252, 692, 2420, 264, 11377, 3847, 1923, 315, 13320, 346, 272, 2410, 273, 26507, 6629, 276, 1422, 2431, 1923, 284, 1556, 9681, 2537, 264, 11377, 3847, 1923, 315, 13320, 346, 272, 2410, 274, 26507, 266, 276, 1422, 2431, 1923, 284, 1691, 9681, 25215, 16093, 692, 11377, 346, 6629, 6872, 267, 2767, 315, 15732, 2190, 14638, 6629, 315, 3847, 1923, 315, 13320, 346, 272, 2410, 274, 26507, 266, 276, 1422, 2431, 1923, 266, 1691, 284, 271, 9681, 303, 4673, 17485, 552, 329, 2075, 545, 3930, 476, 1839, 268, 2764, 267, 1958, 340, 550, 571, 15255, 2330, 343, 2330, 910, 586, 2330, 344, 2330, 910, 5793, 576, 335, 322, 542, 525, 632, 15255, 1989, 5451, 325, 545, 553, 632, 524, 3385, 1187, 857, 11252, 780, 1839, 14638, 325, 3287, 6661, 273, 347, 343, 266, 272, 347, 6629, 1015, 9681, 25215, 16093, 692, 2330, 263, 271, 267, 6629, 279, 14638, 282, 2330, 263, 6629, 277, 267, 271, 14638, 267, 2330, 263, 275, 267, 271, 264, 9681, 2918, 14638, 325, 3287, 6661, 275, 347, 343, 6629, 274, 347, 266, 275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10721, 2409, 269, 901, 7512, 8465, 3206, 543, 6087, 519, 1453, 547, 1995, 1082, 1114, 2081, 540, 25786, 1344, 799, 616, 8449, 4570, 269, 4438, 938, 11706, 942, 267, 649, 1865, 938, 24275, 1210, 6863, 899, 281, 875, 1082, 267, 1034, 267, 2547, 267, 3092, 269, 589, 4116, 666, 2307, 24275, 2055, 602, 30136, 609, 519, 942, 540, 1032, 269, 1280, 1383, 281, 1215, 798, 596, 1205, 547, 1153, 269, 630, 289, 639, 267, 12532, 267, 2961, 994, 272, 269, 23227, 622, 513, 2318, 1565, 10182, 563, 273, 269, 13760, 543, 946, 2596, 2035, 543, 1983, 563, 274, 269, 4004, 6510, 5693, 538, 5711, 267, 7499, 267, 2854, 267, 543, 26068, 1106, 563, 1103, 341, 2787, 547, 6258, 454, 8624, 22162, 1239, 607, 519, 1453, 12446, 568, 513, 1390, 3007, 1205, 614, 269, 11814, 532, 1239, 666, 581, 2944, 538, 513, 3099, 540, 2081, 267, 1210, 607, 1082, 1114, 2409, 543, 2326, 607, 2009, 948, 1628, 513, 2603, 540, 7279, 543, 1719, 593, 513, 3232, 4493, 563, 6524, 4358, 519, 1362, 3232, 3113, 1224, 519, 1126, 27231, 1433, 3807, 8641, 621, 256, 1635, 595, 9143, 11300, 9752, 4964, 269, 901, 568, 513, 1187, 2110, 1650, 602, 568, 10213, 519, 1453, 952, 972, 568, 1945, 789, 1616, 547, 917, 267, 1175, 3113, 621, 563, 21206, 4928, 3113, 10372, 912, 290, 1478, 519, 3282, 3443, 609, 519, 2312, 3346, 1957, 269, 8571, 513, 2241, 7470, 269, 14520, 9343, 2469, 23276, 960, 1390, 269, 23680, 827, 1614, 610, 2185, 6279, 1930, 693, 835, 1439, 547, 2328, 538, 519, 4267, 547, 519, 2055, 269, 1403, 596, 4734, 519, 1318, 1439, 1930, 267, 713, 2636, 476, 1691, 16018, 538, 1022, 835, 4737, 269, 12338, 10580, 547, 3514, 3330, 519, 561, 1749, 269, 16259, 519, 918, 20482, 561, 1749, 676, 1140, 2286, 519, 22197, 593, 519, 1394, 269, 5620, 519, 1453, 2721, 741, 8188, 543, 2328, 741, 2012, 3330, 519, 5377, 2895, 547, 1118, 621, 2027, 8446, 3983, 613, 269, 630, 2252, 596, 723, 2875, 5961, 267, 891, 1223, 581, 1031, 3079, 4700, 5269, 513, 2312, 18921, 676, 7148, 532, 609, 11954, 9633, 532, 11746, 1472, 5230, 1673, 14280, 5068, 267, 6028, 835, 1439, 1930, 585, 513, 4845, 14816, 269, 1879, 20171, 513, 24275, 2243, 267, 2328, 621, 593, 513, 4845, 14816, 543, 13472, 621, 883, 519, 18921, 3177, 693, 519, 1283, 540, 519, 3282, 3443, 269, 634, 1453, 786, 946, 519, 10433, 19984, 547, 1747, 741, 8917, 593, 519, 3113, 269, 2201, 519, 5377, 540, 519, 3113, 786, 581, 4130, 2312, 27061, 547, 2322, 519, 6688, 538, 269, 1411, 1223, 2328, 519, 7121, 610, 723, 513, 4605, 547, 2099, 519, 7121, 563, 288, 269, 5565, 6828, 28977, 912, 289, 269, 2859, 982, 1079, 2516, 912, 290, 269, 8786, 610, 3143, 8641, 454, 29804, 6118, 267, 4005, 267, 16741, 267, 7328, 4829, 267, 10448, 267, 5779, 267, 18397, 267, 7260, 267, 23739, 267, 2650, 267, 10433, 267, 23611, 267, 1433, 267, 7641, 1397, 267, 20419, 267, 2706, 5869, 267, 4099, 267, 21300, 267, 3014, 267, 4672, 8645, 8137, 267, 1650, 1915, 267, 2575, 267, 4620, 267, 26025, 267, 6283, 267, 3092, 269, 630, 2691, 596, 616, 3257, 29202, 267, 7522, 621, 1524, 547, 1614, 5079, 543, 1287, 1118, 513, 1362, 3113, 8094, 8448, 2326, 519, 1053, 1223, 946, 3232, 538, 741, 24275, 912, 288, 269, 1403, 707, 24275, 2230, 568, 513, 3819, 32135, 4604, 519, 1053, 1223, 723, 741, 2012, 610, 4605, 22495, 730, 543, 513, 11275, 25380, 1223, 581, 2322, 593, 1142, 4605, 267, 610, 789, 1223, 2328, 741, 2012, 593, 519, 3819, 32135, 4604, 896, 519, 7121, 1178, 335, 1117, 563, 289, 269, 1411, 1223, 723, 513, 3113, 7148, 539, 593, 519, 6989, 538, 707, 4928, 543, 789, 1223, 3113, 1483, 3615, 269, 3657, 596, 9849, 25192, 610, 10887, 286, 630, 5445, 1131, 1142, 1491, 1055, 513, 21489, 543, 2322, 621, 593, 519, 3113, 4700, 3657, 519, 1151, 525, 540, 707, 10887, 5347, 610, 536, 17056, 630, 5629, 1586, 789, 1131, 1491, 1055, 513, 21489, 543, 2322, 621, 593, 519, 3113, 8094, 290, 269, 634, 3113, 1223, 581, 513, 5230, 21312, 543, 519, 1453, 1223, 946, 9660, 335, 1231, 609, 741, 2012, 593, 269, 1358, 1131, 3113, 676, 804, 6235, 519, 9660, 11017, 593, 519, 21312, 630, 1103, 1931, 547, 946, 713, 596, 1131, 1152, 581, 1210, 513, 1079, 1895, 3113, 1916, 291, 269, 1280, 9811, 543, 1100, 2055, 596, 1223, 723, 519, 1913, 2854, 538, 1804, 3625, 1106, 543, 519, 1053, 1223, 2328, 741, 2012, 3330, 519, 5022, 538, 519, 1913, 563, 292, 269, 634, 1053, 1223, 849, 946, 6402, 269, 589, 13622, 568, 693, 519, 5377, 540, 519, 3113, 543, 519, 1101, 2875, 29945, 741, 3095, 593, 519, 13622, 543, 519, 1866, 3095, 741, 338, 593, 519, 3095, 563, 20694, 32181, 558, 565, 5500, 630, 1960, 280, 1040, 12338, 519, 24516, 256, 7316, 547, 1376, 286, 631, 8150, 2228, 267, 519, 19556, 5948, 540, 3013, 269, 8158, 5412, 476, 2767, 267, 476, 1220, 277, 267, 689, 8940, 269, 2742, 320, 3820, 270, 21107, 31574, 2254, 22812, 845, 11258, 454, 10932, 4681, 689, 6530, 5815, 602, 1565, 1281, 711, 2049, 676, 12809, 10338, 4805, 269, 5502, 267, 538, 1082, 3871, 267, 2043, 1935, 513, 1007, 4305, 609, 1991, 1702, 267, 15849, 30968, 1007, 1344, 267, 543, 4020, 741, 1378, 10096, 563, 27645, 991, 547, 1711, 606, 1604, 602, 7512, 1453, 547, 2263, 267, 1020, 267, 1449, 267, 1865, 267, 543, 4019, 2093, 269, 1358, 991, 547, 6432, 5402, 547, 1453, 543, 547, 3391, 519, 1646, 540, 741, 2093, 563, 295, 32231, 595, 269, 744, 1421, 543, 17305, 529, 681, 269, 630, 1960, 277, 1070, 4578, 11018, 543, 7421, 267, 3182, 1005, 2979, 840, 268, 9656, 998, 476, 273, 526, 3446, 267, 3184, 476, 272, 267, 3813, 269, 274, 269, 8158, 5412, 476, 1789, 267, 476, 1220, 277, 267, 689, 8940, 6983, 541, 565, 327, 32231, 2593, 4882, 889, 329, 1115, 270, 4118, 7933, 520, 698, 1430, 11258, 563, 294, 1430, 532, 1239, 568, 513, 7928, 851, 540, 6061, 2042, 543, 17598, 7279, 269, 1879, 649, 2932, 12220, 543, 2721, 8753, 689, 873, 267, 649, 616, 11018, 543, 7421, 1239, 269, 901, 2882, 513, 2603, 540, 960, 609, 11708, 543, 5012, 547, 6310, 2645, 899, 19011, 1645, 543, 824, 26398, 269, 0, 20458, 1689, 5170, 547, 24244, 13438, 538, 1970, 13867, 2950, 2066, 715, 23879, 6798, 267, 609, 1082, 4683, 24454, 693, 1390, 1981, 547, 519, 5222, 540, 14700, 563, 2690, 519, 2518, 19493, 2146, 267, 9568, 1981, 568, 1034, 7282, 538, 3384, 2477, 1141, 2067, 10898, 616, 5051, 17116, 741, 17866, 11615, 543, 519, 2729, 267, 1072, 267, 543, 454, 291, 541, 1965, 6428, 320, 600, 568, 4092, 593, 519, 23261, 534, 1014, 5032, 543, 814, 513, 9341, 2916, 609, 5266, 1164, 5210, 267, 1164, 11195, 543, 5993, 11811, 936, 476, 1911, 271, 6515, 563, 26322, 2861, 13539, 543, 2962, 666, 3565, 7494, 547, 9568, 1981, 5786, 267, 543, 954, 15062, 539, 547, 713, 267, 547, 2679, 6043, 547, 519, 5222, 540, 2916, 1689, 563, 4002, 1609, 830, 20221, 476, 1556, 267, 273, 1984, 328, 1841, 632, 19726, 682, 4320, 26955, 3832, 1206, 1151, 1938, 2445, 15530, 546, 753, 682, 544, 27475, 1303, 1512, 11024, 4302, 3045, 19902, 563, 2304, 6059, 476, 1556, 269, 273, 5479, 9748, 540, 4396, 3653, 616, 6394, 5001, 1169, 1032, 269, 0, 8505, 11561, 2169, 267, 16790, 28557, 267, 543, 14871, 5937, 18249, 12182, 12399, 454, 8505, 1774, 868, 10607, 11007, 543, 4398, 585, 707, 1603, 2319, 269, 19536, 666, 3533, 1711, 3688, 267, 971, 607, 7515, 543, 8638, 267, 609, 519, 2953, 6163, 4294, 676, 9949, 269, 1411, 666, 1711, 1313, 1774, 868, 585, 1082, 1455, 3688, 912, 273, 19985, 476, 274, 19985, 476, 275, 19985, 543, 476, 276, 12258, 4379, 7515, 454, 24687, 267, 4388, 267, 1309, 1903, 267, 543, 21855, 454, 15899, 4704, 2606, 2453, 267, 971, 607, 1280, 811, 1344, 267, 1294, 454, 6124, 11271, 543, 3044, 3584, 267, 971, 607, 4247, 610, 4971, 4704, 3584, 454, 8505, 334, 28557, 2636, 596, 547, 8850, 4368, 1455, 17511, 9073, 267, 1519, 1079, 3854, 5022, 538, 513, 4737, 543, 4413, 335, 8215, 1913, 269, 1411, 666, 849, 946, 1313, 665, 8091, 547, 5581, 930, 695, 2180, 663, 1915, 9696, 602, 8850, 7696, 3476, 1455, 2453, 269, 1280, 1383, 267, 596, 666, 5581, 513, 743, 547, 581, 8719, 609, 1569, 1852, 1592, 269, 1879, 596, 1826, 513, 743, 543, 513, 2230, 267, 9786, 6478, 2242, 621, 547, 1569, 1852, 1592, 563, 19859, 7809, 6478, 849, 2636, 596, 547, 5581, 3905, 10569, 585, 1455, 4247, 267, 971, 607, 7311, 513, 2511, 267, 29780, 1313, 1774, 868, 267, 610, 4881, 513, 12550, 269, 2060, 3905, 12399, 267, 1313, 1774, 868, 267, 543, 1313, 665, 8091, 267, 596, 666, 1711, 1543, 811, 7561, 269, 0, 1704, 4873, 476, 1001, 274, 31861, 476, 276, 281, 1839, 268, 2918, 454, 2108, 290, 727, 547, 2474, 3533, 609, 707, 934, 12528, 1247, 596, 616, 593, 519, 1259, 547, 5480, 609, 1864, 267, 610, 707, 934, 12528, 949, 1688, 596, 936, 547, 519, 9794, 267, 543, 519, 9794, 547, 519, 9856, 267, 543, 596, 786, 581, 16207, 883, 7890, 269, 22427, 569, 594, 2995, 596, 267, 596, 786, 2760, 1205, 856, 2394, 596, 723, 6976, 519, 2063, 29784, 1848, 630, 341, 341, 269, 476, 1839, 268, 2918, 994, 4322, 1079, 18627, 2097, 689, 4906, 262, 590, 1069, 517, 593, 519, 6778, 630, 31861, 476, 276, 268, 278, 1040, 4906, 814, 1044, 6158, 827, 875, 646, 4397, 1010, 13794, 547, 2661, 269, 1261, 814, 16219, 25736, 267, 609, 4704, 547, 741, 2123, 2729, 267, 543, 814, 29499, 593, 741, 7180, 538, 741, 2950, 543, 538, 519, 1158, 269, 1261, 814, 849, 29499, 593, 519, 3140, 1620, 540, 741, 5132, 267, 1354, 646, 14753, 827, 22195, 543, 9343, 269, 1261, 6700, 602, 519, 2757, 1620, 729, 711, 2614, 267, 543, 602, 513, 1390, 4308, 811, 568, 2838, 540, 1346, 945, 1246, 1864, 563, 5278, 1004, 1224, 713, 607, 2369, 2358, 875, 1272, 568, 267, 855, 1866, 1294, 621, 607, 11021, 602, 649, 786, 835, 1554, 3068, 513, 3803, 27790, 543, 621, 1131, 581, 1732, 547, 4308, 609, 1022, 2152, 1631, 269, 15742, 569, 519, 18627, 5612, 1354, 630, 951, 525, 476, 2641, 268, 2190, 264, 3277, 1360, 5693, 547, 27790, 543, 10751, 269, 1809, 789, 849, 1118, 621, 2312, 602, 21047, 609, 824, 1004, 568, 2556, 585, 1346, 945, 1616, 547, 581, 538, 513, 2078, 609, 2696, 269, 27302, 543, 10847, 2154, 513, 11028, 4290, 539, 2146, 563, 10144, 723, 849, 11130, 2436, 834, 2492, 547, 2474, 257, 1797, 1483, 19908, 543, 21047, 267, 610, 10522, 3274, 4758, 538, 782, 519, 942, 269, 898, 568, 1271, 547, 1174, 602, 834, 3147, 12528, 257, 538, 713, 2796, 2356, 1797, 519, 835, 945, 814, 1044, 1055, 2105, 610, 519, 13676, 5428, 538, 513, 3656, 2962, 267, 865, 621, 949, 1134, 581, 827, 519, 1268, 945, 814, 2944, 4636, 1818, 519, 1101, 1847, 269, 901, 568, 1034, 9090, 711, 827, 1004, 945, 723, 1044, 8697, 610, 26884, 676, 1866, 1373, 5143, 602, 789, 616, 2838, 547, 31799, 267, 610, 1491, 519, 1101, 1900, 2509, 1022, 1106, 540, 21047, 563, 268, 769, 513, 2486, 1141, 649, 616, 9415, 547, 16620, 543, 547, 647, 324, 1004, 267, 875, 1281, 713, 8574, 1118, 596, 1745, 888, 268, 1403, 596, 723, 1022, 2352, 22195, 538, 707, 1272, 267, 1018, 798, 596, 1589, 2696, 1522, 723, 547, 2161, 888, 268, 1411, 949, 1616, 547, 2992, 593, 519, 2956, 540, 7555, 909, 585, 5126, 8164, 972, 568, 991, 585, 21047, 563, 289, 1043, 4967, 2278 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 3723, 1416, 543, 519, 1909, 540, 1570, 5542, 538, 7446, 519, 1318, 3723, 28103, 828, 269, 901, 3296, 786, 2491, 875, 519, 1318, 5079, 666, 948, 2061, 7063, 543, 3895, 8902, 3952, 269, 3414, 713, 3102, 3408, 267, 519, 2376, 6663, 547, 1683, 596, 609, 513, 1134, 25454, 1620, 540, 519, 1761, 4220, 543, 2640, 2404, 609, 519, 946, 540, 3723, 28103, 1499, 563, 15650, 540, 14272, 2480, 13041, 1499, 543, 4256, 5071, 17972, 454, 293, 2393, 28103, 1499, 2097, 538, 513, 3099, 540, 2010, 267, 1142, 609, 741, 2189, 1374, 2934, 602, 8597, 547, 1114, 2115, 543, 7375, 269, 634, 1079, 1034, 1455, 2010, 616, 8261, 3723, 28103, 1499, 543, 3167, 3723, 28103, 1499, 563, 10048, 783, 3723, 28103, 1499, 2154, 519, 3593, 547, 9308, 1847, 519, 28103, 828, 2066, 519, 3723, 547, 4894, 4666, 2960, 269, 1358, 666, 581, 2417, 19040, 883, 533, 636, 823, 10007, 267, 3723, 6119, 267, 543, 28103, 26814, 269, 623, 636, 823, 10007, 616, 15027, 7725, 609, 513, 11315, 9403, 4998, 585, 9427, 1289, 4926, 543, 2182, 2960, 269, 14272, 6119, 267, 593, 519, 824, 1688, 267, 723, 513, 4496, 610, 5068, 2627, 609, 513, 11315, 9403, 267, 2147, 547, 513, 17970, 3758, 269, 2480, 13041, 26814, 723, 1490, 30178, 602, 666, 3914, 883, 519, 1212, 341, 1182, 540, 519, 3952, 267, 3246, 513, 4514, 2973, 563, 25821, 3723, 28103, 1499, 267, 849, 1634, 607, 1289, 639, 1121, 13569, 267, 723, 513, 15914, 2212, 602, 3533, 18788, 4666, 2960, 269, 1358, 616, 13324, 676, 9075, 610, 5201, 267, 4227, 519, 2179, 540, 2168, 4674, 2877, 269, 2368, 3167, 3723, 28103, 1499, 2097, 609, 1114, 27589, 602, 1450, 585, 6098, 1085, 745, 25290, 543, 513, 811, 10531, 3723, 1416, 6296, 563, 2005, 779, 1271, 547, 4063, 602, 519, 1374, 2934, 540, 3723, 28103, 1499, 949, 3565, 547, 519, 1981, 540, 3723, 7063, 952, 711, 1031, 5265, 269, 634, 11315, 7252, 540, 533, 636, 823, 10007, 543, 3723, 6119, 267, 585, 3236, 267, 1223, 5732, 2014, 705, 6652, 687, 610, 11912, 952, 1031, 1932, 25525, 3585, 269, 6684, 267, 519, 15914, 2212, 540, 3167, 3723, 28103, 1499, 1223, 2014, 2800, 952, 711, 17411, 7157, 269, 4475, 267, 1620, 519, 2010, 540, 3723, 28103, 1499, 543, 741, 1374, 2934, 568, 2629, 547, 4180, 2922, 543, 2500, 3723, 1416, 563, 13349, 14272, 20070, 3753, 23105, 609, 14272, 2480, 13041, 1499, 454, 293, 2393, 28103, 1499, 616, 1898, 2645, 585, 4509, 3723, 9882, 543, 5009, 2949, 1072, 269, 1717, 267, 899, 1022, 1907, 267, 16789, 946, 666, 1291, 547, 7063, 269, 2368, 540, 519, 1034, 1455, 3723, 7063, 2404, 609, 3723, 28103, 1499, 1331, 11912, 267, 705, 6652, 687, 267, 543, 538, 4049, 2665, 267, 5563, 563, 290, 7491, 543, 705, 6652, 687, 666, 2049, 950, 1932, 1454, 2604, 568, 4294, 1247, 1210, 519, 28103, 828, 610, 950, 621, 568, 1031, 593, 6213, 610, 7745, 2960, 269, 634, 10335, 540, 891, 7063, 666, 2039, 689, 5634, 11912, 602, 12115, 3533, 267, 547, 811, 1713, 16398, 602, 2154, 2564, 3007, 269, 898, 568, 2629, 547, 581, 9543, 950, 1210, 513, 3723, 28103, 828, 267, 2523, 593, 519, 13035, 2127, 540, 519, 3723, 267, 547, 2057, 891, 2010, 540, 7063, 563, 1103, 2739, 687, 616, 513, 811, 3978, 6161, 543, 666, 2049, 952, 513, 3723, 28103, 828, 568, 1031, 593, 7745, 2960, 610, 3838, 1063, 2043, 1510, 1697, 24846, 1436, 269, 29318, 543, 13271, 666, 8853, 538, 519, 5848, 1604, 540, 513, 1031, 3723, 28103, 828, 267, 1818, 621, 513, 1761, 2707, 540, 3968, 269, 898, 568, 2629, 547, 2973, 543, 3819, 519, 28103, 828, 5265, 1310, 1142, 946, 543, 2760, 547, 2671, 621, 609, 1866, 563, 11997, 267, 1247, 3723, 28103, 1499, 616, 3622, 2922, 543, 6225, 2645, 267, 972, 568, 513, 1981, 540, 5945, 952, 789, 616, 711, 1031, 5265, 269, 20305, 1058, 581, 3222, 540, 891, 4220, 543, 1491, 3617, 15416, 547, 2057, 873, 563, 28557, 26402, 540, 14272, 2480, 13041, 1499, 454, 763, 2953, 6165, 540, 3723, 28103, 1499, 568, 513, 2629, 2460, 602, 568, 2047, 5532, 547, 519, 2243, 540, 2436, 972, 568, 1022, 1981, 540, 519, 28103, 828, 4929, 3723, 7063, 269, 634, 1259, 513, 3723, 28103, 828, 568, 1031, 666, 3648, 1764, 519, 3593, 779, 3723, 1072, 269, 16700, 2224, 666, 1291, 547, 7063, 267, 9636, 267, 543, 1256, 1279, 3856, 3441, 269, 9747, 267, 621, 568, 1898, 547, 1174, 875, 547, 946, 513, 3723, 28103, 828, 7157, 547, 2327, 3106, 543, 7145, 563, 20058, 267, 621, 779, 1271, 547, 4063, 602, 3723, 28103, 1499, 1058, 711, 581, 1031, 1932, 10792, 569, 269, 634, 2960, 593, 938, 3952, 267, 1247, 27162, 615, 982, 824, 2694, 540, 938, 1560, 267, 568, 1869, 11630, 547, 7063, 899, 11912, 543, 705, 6652, 687, 269, 4475, 267, 1210, 519, 28103, 828, 9900, 543, 711, 7311, 1932, 1454, 2604, 666, 948, 2061, 971, 7063, 563, 30772, 267, 519, 4908, 540, 946, 568, 1776, 1883, 3815, 269, 3683, 2224, 540, 3723, 28103, 1499, 666, 1291, 547, 519, 8851, 540, 1932, 1454, 2960, 267, 6028, 519, 3723, 12155, 547, 5563, 269, 898, 568, 5227, 547, 946, 3723, 28103, 1499, 1152, 607, 2556, 267, 799, 949, 4268, 689, 1268, 547, 1268, 4470, 593, 741, 3723, 2783, 563, 15563, 267, 519, 27194, 540, 519, 3723, 28103, 828, 3294, 568, 849, 513, 2629, 3815, 269, 4635, 513, 18660, 28103, 828, 666, 6338, 4551, 547, 519, 3952, 267, 799, 666, 1291, 547, 5563, 2523, 952, 972, 616, 4540, 11912, 610, 705, 6652, 687, 269, 4475, 267, 621, 568, 1271, 547, 2973, 519, 28103, 828, 5781, 543, 1577, 621, 3819, 5265, 1354, 519, 1985, 946, 563, 1103, 3932, 267, 519, 2953, 6165, 540, 3723, 28103, 1499, 4249, 513, 1713, 1909, 538, 7303, 3723, 7063, 269, 1635, 1210, 519, 28103, 828, 9900, 267, 711, 936, 6748, 621, 267, 543, 5329, 621, 2973, 267, 835, 666, 2327, 513, 10930, 543, 811, 2500, 3723, 1416, 6296, 563, 32552, 21474, 1879, 4635, 14272, 2480, 13041, 1499, 454, 32552, 3800, 950, 1210, 3723, 28103, 1499, 616, 606, 1898, 5705, 8084, 950, 7234, 519, 1981, 540, 3723, 7063, 602, 949, 581, 3361, 676, 3723, 28103, 1499, 269, 901, 25701, 547, 519, 15416, 602, 1058, 581, 3144, 950, 1210, 513, 3723, 28103, 828, 547, 2057, 4929, 2800, 547, 707, 3952, 563, 763, 1101, 3106, 2268, 547, 2015, 568, 519, 2953, 6165, 540, 519, 3723, 28103, 828, 269, 5269, 2386, 547, 1246, 519, 10672, 779, 5528, 543, 711, 946, 519, 28103, 828, 1932, 26490, 1947, 269, 2480, 745, 25290, 1932, 2182, 666, 2014, 705, 6652, 687, 610, 11912, 593, 707, 2960, 563, 13553, 267, 621, 779, 2629, 547, 5781, 2973, 543, 2226, 707, 3723, 28103, 828, 269, 29318, 543, 13271, 666, 1332, 593, 606, 11515, 534, 28103, 828, 543, 1291, 547, 5563, 950, 1031, 269, 1411, 1058, 849, 5372, 707, 3723, 28103, 828, 5781, 547, 2327, 602, 621, 779, 2141, 538, 1434, 2783, 543, 2922, 547, 946, 563, 11101, 267, 952, 596, 723, 513, 3723, 2783, 267, 971, 607, 3987, 5829, 3723, 2152, 610, 513, 2960, 2783, 899, 26253, 267, 596, 991, 547, 581, 3063, 6297, 269, 769, 971, 2665, 267, 621, 568, 15695, 547, 5077, 513, 3782, 3318, 1354, 1210, 513, 3723, 28103, 828, 563, 15563, 267, 519, 3903, 540, 1570, 540, 519, 3723, 28103, 828, 568, 849, 1271, 269, 2368, 2326, 949, 581, 1932, 10792, 585, 707, 2960, 543, 2014, 16698, 267, 1247, 1866, 949, 581, 1932, 2571, 547, 3927, 4894, 4666, 2960, 269, 4475, 267, 7446, 513, 3723, 28103, 828, 602, 568, 5078, 585, 707, 2960, 1826, 568, 606, 1898, 3106, 2268, 563, 3528, 1739, 891, 3106, 3800, 267, 596, 666, 3648, 2569, 519, 1981, 540, 3723, 7063, 3361, 676, 3723, 28103, 1499, 543, 2327, 513, 2922, 543, 2500, 3723, 1416, 6296, 563, 763, 11957, 540, 14272, 5516, 543, 2480, 13041, 828, 7698, 19139, 454, 763, 2956, 540, 3723, 1416, 543, 28103, 828, 1570, 5542, 3112, 581, 21467, 332, 3508, 1242, 269, 898, 568, 513, 4105, 5705, 8084, 950, 7234, 519, 1761, 4220, 540, 1210, 513, 3723, 28103, 828, 269, 7743, 3723, 1416, 4422, 3564, 1175, 4509, 519, 12716, 9029, 540, 707, 3952, 269, 898, 849, 3322, 4180, 707, 3952, 616, 2635, 543, 1863, 689, 5563, 610, 7063, 267, 799, 666, 581, 3361, 676, 16789, 946, 540, 3723, 28103, 1499, 563, 293, 2393, 28103, 1499, 616, 15747, 538, 9427, 4666, 2960, 2281, 543, 5009, 513, 29779, 267, 23704, 2960, 269, 1717, 267, 519, 1570, 540, 519, 28103, 828, 568, 513, 1713, 3815, 538, 8159, 922, 3106, 543, 4398, 269, 589, 28103, 828, 1500, 689, 10792, 2326, 666, 2014, 2960, 705, 6652, 687, 610, 1256, 11912, 267, 2523, 952, 1031, 1932, 25525, 3585, 269, 2201, 519, 824, 1688, 267, 513, 28103, 828, 1500, 689, 1932, 2571, 513, 1570, 949, 711, 581, 2500, 538, 608, 9110, 11868, 519, 2960, 269, 4475, 267, 621, 568, 1898, 547, 2824, 513, 28103, 828, 602, 568, 1500, 689, 513, 1570, 602, 568, 9444, 1932, 2182, 6862, 1932, 2571, 563, 12234, 267, 519, 3337, 543, 1374, 540, 519, 28103, 828, 616, 8449, 1271, 269, 589, 14605, 2966, 3723, 28103, 828, 666, 581, 13943, 547, 946, 543, 949, 1256, 1291, 547, 3723, 7063, 269, 898, 568, 2141, 1655, 547, 3442, 513, 3723, 28103, 828, 602, 568, 23908, 517, 558, 1227, 2966, 543, 13352, 1134, 538, 707, 1688, 547, 2057, 1793, 6235, 563, 1103, 3932, 267, 519, 2956, 540, 3723, 1416, 543, 28103, 828, 1570, 5542, 568, 14063, 538, 10893, 519, 1981, 540, 3723, 7063, 269, 898, 779, 711, 1175, 827, 7446, 1022, 3723, 28103, 828, 267, 855, 827, 8939, 519, 1318, 835, 585, 707, 1808, 2115, 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 ]
[ 543, 18685, 946, 8580, 17313, 267, 513, 269, 634, 14980, 5022, 616, 666, 576, 1194, 538, 713, 3992, 267, 607, 789, 616, 2429, 519, 1433, 269, 1452, 616, 513, 1906, 22429, 2093, 1832, 29957, 585, 811, 563, 20055, 1346, 596, 616, 1174, 602, 519, 30920, 2270, 519, 1913, 540, 31676, 4651, 543, 795, 4615, 267, 543, 649, 666, 1451, 827, 873, 543, 1018, 789, 1616, 721, 547, 917, 676, 4974, 519, 30920, 269, 1548, 824, 2238, 666, 1775, 946, 585, 3450, 8580, 17313, 269, 22604, 547, 519, 2497, 540, 476, 272, 14646, 4896, 12394, 547, 960, 593, 519, 2497, 540, 476, 272, 14646, 1131, 798, 1134, 547, 3247, 585, 513, 4090, 543, 2992, 593, 1175, 875, 1114, 713, 4484, 568, 267, 2523, 538, 6476, 609, 4207, 1806, 540, 5022, 543, 609, 476, 273, 543, 476, 274, 14646, 1312, 540, 799, 8858, 3592, 782, 519, 4162, 540, 1101, 2540, 513, 269, 1230, 329, 17313, 616, 519, 1445, 540, 713, 1893, 6575, 4976, 563, 288, 1390, 27412, 547, 948, 707, 5067, 610, 8250, 1174, 543, 946, 8580, 17313, 538, 741, 1603, 269, 634, 1433, 849, 2882, 9910, 4245, 543, 2259, 9212, 269, 901, 3992, 2882, 513, 32029, 6881, 547, 1246, 2059, 609, 519, 3992, 607, 596, 4001, 269, 5463, 476, 6860, 267, 476, 1001, 280, 7005, 8239, 3992, 1210, 8580, 17313, 7157, 538, 5220, 1863, 7005, 4245, 8653, 269, 1230, 329, 17313, 7792, 476, 275, 628, 476, 277, 628, 3446, 4116, 9679, 269, 7043, 337, 7342, 543, 9565, 5339, 4760, 8547, 676, 536, 2784, 5112, 2849, 992, 563, 9802, 476, 6734, 267, 476, 1708, 271, 11461, 2542, 11666, 826, 547, 1224, 14951, 6532, 610, 519, 824, 2835, 596, 723, 1044, 1305, 593, 8375, 6801, 2542, 4541, 269, 901, 1433, 3568, 2898, 5035, 2238, 267, 21630, 2534, 9212, 267, 1983, 2259, 543, 4830, 1603, 2238, 269, 12729, 476, 276, 3992, 476, 6078, 519, 25598, 7017, 519, 521, 1779, 10720, 14860, 269, 6423, 811, 2093, 827, 3450, 267, 3450, 8239, 543, 8239, 543, 18685, 269, 1677, 1449, 741, 1007, 1702, 267, 519, 7792, 17142, 3947, 1053, 513, 4976, 267, 799, 2882, 6445, 538, 519, 10145, 5220, 543, 513, 2262, 4871, 540, 2009, 8580, 17313, 547, 946, 269, 1280, 519, 1134, 8036, 2247, 1377, 476, 274, 676, 795, 612, 773, 8797, 543, 521, 4673, 269, 6423, 811, 2093, 827, 3119, 4245, 267, 1920, 1753, 10543, 543, 31914, 599, 1153, 563, 27650, 476, 277, 3992, 476, 6078, 9328, 571, 577, 267, 17450, 778, 267, 543, 705, 539, 928, 2998, 269, 2991, 12129, 267, 1775, 786, 1353, 585, 519, 2979, 1449, 4947, 909, 1318, 1354, 5614, 269, 898, 2488, 8847, 267, 1806, 267, 543, 2259, 2042, 693, 519, 1439, 540, 519, 3992, 269, 1403, 596, 1616, 547, 4647, 811, 7005, 3992, 15004, 267, 2638, 856, 476, 271, 584, 2200, 2985, 1934, 269, 3883, 8630, 938, 3312, 1650, 2835, 267, 9102, 543, 9447, 547, 707, 7450, 269, 4906, 13171, 568, 938, 5260, 1640, 519, 3483, 540, 713, 3992, 568, 547, 1174, 602, 1317, 795, 4615, 13171, 729, 759, 584, 5550, 539, 267, 649, 786, 581, 1932, 3450, 4555, 563, 3519, 329, 17313, 3992, 1544, 267, 4976, 267, 3450, 2534, 269, 15019, 1102, 17182, 2835, 2743, 707, 1985, 5172, 1433, 269, 1230, 329, 17313, 3211, 543, 2238, 552, 15105, 3211, 269, 5221, 519, 1453, 786, 2985, 476, 6078, 17647, 547, 1544, 22788, 323, 903, 1554, 267, 789, 786, 991, 547, 9414, 269, 769, 713, 3992, 267, 596, 961, 1451, 519, 1614, 2010, 540, 8580, 17313, 543, 875, 269, 1230, 329, 4233, 3992, 2093, 543, 4199, 3640, 4116, 1500, 1000, 1074, 331, 269, 700, 1091, 3992, 2337, 543, 1688, 8083, 585, 3119, 476, 275, 3992, 476, 3393, 269, 31674, 1574, 614, 5798, 1472, 519, 4055, 543, 979, 936, 519, 1574, 614, 1650, 609, 713, 27403, 1293, 6658, 563, 8248, 518, 16455, 902, 720, 543, 1085, 11171, 1278, 18756, 3889, 1223, 581, 1031, 269, 1403, 596, 1589, 602, 707, 1053, 1131, 1265, 713, 16297, 532, 267, 4647, 519, 3992, 1510, 4992, 269, 674, 8463, 6770, 721, 6251, 547, 31676, 4651, 543, 795, 4615, 13171, 4647, 11015, 1934, 11015, 568, 1804, 827, 476, 1626, 343, 736, 6279, 267, 1142, 4062, 568, 593, 835, 4062, 540, 1957, 267, 476, 1321, 4773, 782, 1927, 269, 4924, 476, 4905, 267, 476, 736, 1863, 19593, 592, 3518, 1078, 1543, 585, 13004, 267, 13004, 538, 31448, 543, 7005, 1362, 476, 274, 267, 476, 275, 543, 476, 276, 6026, 998, 9413, 267, 3756, 267, 3211, 267, 2238, 267, 7317, 7044, 543, 14676, 269, 674, 8463, 6770, 721, 6251, 547, 31676, 4651, 543, 795, 4615, 13171, 713, 2376, 568, 2139, 585, 6718, 5225, 4945, 1934, 585, 3877, 269, 9484, 476, 274, 267, 476, 736, 1688, 8083, 585, 1453, 6502, 476, 5325, 585, 3119, 267, 1920, 1753, 10543, 267, 610, 31914, 599, 1153, 267, 31914, 599, 1094, 951, 2835, 543, 524, 323, 668, 338, 269, 1621, 4976, 8580, 17313, 1317, 267, 865, 267, 543, 267, 855, 267, 610, 533, 274, 533, 275, 269, 898, 2882, 476, 2412, 2596, 7005, 8239, 4245, 8720, 1034, 540, 519, 7005, 8239, 512, 5151, 543, 1034, 4310, 3889, 269, 1656, 267, 855, 267, 543, 610, 4976, 568, 5078, 585, 476, 274, 6113, 476, 275, 628, 3446, 563, 2026, 513, 4759, 267, 596, 961, 849, 1205, 19957, 1569, 547, 936, 476, 8064, 267, 1822, 4245, 538, 2979, 267, 7005, 267, 2257, 267, 1686, 267, 543, 811, 269, 6258, 7005, 609, 13071, 2911, 1863, 7005, 4245, 476, 280, 1321, 267, 4649, 272, 5784, 476, 1556, 269, 1548, 8580, 17313, 798, 649, 946, 950, 649, 723, 547, 2285, 513, 2601, 269, 11109, 8580, 17313, 2306, 1603, 543, 6158, 1454, 4443, 269, 1230, 329, 17313, 1449, 609, 3579, 2575, 713, 568, 513, 1390, 1259, 547, 2673, 856, 513, 1770, 593, 8580, 17313, 269, 594, 1031, 713, 3014, 609, 1032, 476, 275, 1453, 547, 948, 873, 946, 8580, 17313, 547, 1020, 972, 4845, 3889, 269, 7994, 519, 1655, 14966, 547, 2347, 1142, 4845, 269, 634, 1505, 540, 713, 1433, 1101, 1893, 4245, 585, 519, 1134, 10177, 1441, 2247, 10905, 519, 1655, 540, 2757, 1543, 609, 1806, 543, 12383, 2495, 3505, 547, 1459, 1485, 1453, 269, 634, 3483, 540, 519, 3992, 568, 547, 5000, 519, 1453, 547, 581, 1130, 5050, 538, 7555, 607, 22168, 540, 795, 4615, 13171, 269, 1230, 329, 17313, 616, 519, 851, 540, 4633, 1031, 547, 1921, 1913, 543, 2516, 540, 1913, 269, 19536, 786, 1419, 946, 8580, 17313, 547, 9192, 1079, 2110, 5220, 883, 835, 3476, 4845, 269, 1975, 698, 1983, 11144, 1196, 523, 6288, 3119, 1153, 30028, 563, 3519, 329, 17313, 513, 14966, 568, 513, 2262, 602, 13462, 1913, 610, 2516, 540, 1913, 547, 1142, 824, 269, 1403, 596, 899, 891, 4245, 267, 2015, 9140, 938, 1965, 331, 1603, 9499, 547, 1205, 1256, 811, 1543, 1175, 899, 713, 269, 1230, 329, 17313, 476, 20385, 609, 19610, 8580, 17313, 267, 596, 1590, 581, 6297, 547, 4020, 1142, 8360, 538, 519, 1482, 1259, 269, 2060, 713, 476, 1321, 2985, 11609, 7824, 267, 596, 786, 4309, 269, 18049, 22753, 4930, 267, 8580, 17313, 267, 840, 21752, 267, 21770, 530, 269, 1230, 329, 4233, 31376, 6656, 1390, 585, 5969, 543, 2250, 532, 883, 513, 7924, 21641, 14966, 7317, 21641, 1053, 2759, 856, 269, 6096, 616, 1016, 867, 3215, 8580, 17313, 267, 1079, 2010, 540, 8580, 17313, 267, 9256, 5220, 609, 1016, 867, 3215, 8580, 17313, 267, 1016, 867, 3215, 8580, 17313, 960, 267, 2012, 1016, 867, 3215, 8580, 17313, 960, 538, 519, 9390, 267, 1016, 867, 3215, 8580, 17313, 543, 29884, 21291, 267, 8580, 17313, 8446, 3635, 269, 4934, 9227, 8239, 4245, 616, 711, 827, 3450, 1453, 519, 11707, 540, 8239, 855, 5807, 513, 7279, 827, 1893, 267, 1913, 543, 21291, 950, 8268, 1369, 513, 6209, 2796, 269, 4856, 7758, 894, 8580, 17313, 6618, 2147, 1913, 267, 2453, 267, 610, 21291, 267, 855, 616, 1031, 538, 8424, 269, 3245, 18551, 547, 6863, 267, 2694, 540, 4633, 547, 27373, 267, 543, 4845, 2497, 547, 10259, 3652, 267, 891, 2200, 786, 2327, 602, 707, 10026, 1053, 1451, 519, 2953, 8239, 4808, 563, 1103, 713, 3992, 267, 596, 961, 1451, 519, 1614, 2010, 540, 8580, 17313, 543, 875, 547, 946, 873, 538, 707, 1603, 269, 901, 561, 1091, 3119, 3992, 6645, 540, 705, 514, 21355, 543, 4622, 1100, 1695, 269, 5131, 19593, 592, 3518, 1078, 1543, 585, 13004, 267, 13004, 538, 31448, 543, 7005, 1362, 476, 274, 267, 476, 275, 543, 476, 276, 6026, 998, 9413, 267, 3756, 267, 3211, 267, 2238, 267, 7317, 7044, 543, 14676, 269, 6258, 827, 25640, 543, 1016, 867, 3215, 8580, 17313, 269, 18361, 540, 8847, 543, 3652, 272, 23676, 2393, 518, 476, 2537, 851, 476, 272, 8239, 476, 3393, 269, 667, 2632, 5855, 952, 713, 5299, 568, 8697, 610, 23987, 676, 519, 1126, 2094, 269, 9578, 267, 1205, 2259, 4255, 267, 17118, 267, 543, 10531, 18006, 547, 948, 596, 8011, 269, 901, 7127, 729, 11540, 538, 1433, 540, 544, 768, 517, 2238, 267, 3119, 476, 275, 269, 9752, 2200, 267, 3119, 2200, 267, 1000, 1074, 331, 267, 3119, 1153, 2200, 563, 8893, 4058, 538, 1899, 609, 519, 1007, 3119, 3084, 6437, 269, 6423, 811, 2093, 827, 3450, 2542, 267, 2542, 13186, 543, 476, 275, 628, 3446, 2542, 269, 1358, 1451, 602, 8580, 17313, 1921, 1913, 267, 2453, 267, 21291, 267, 543, 5220, 269, 12729, 476, 275, 3992, 476, 6078, 21517, 519, 2699, 18188, 3984, 612, 269, 3955, 915, 687, 3211, 543, 2238, 552, 15105, 3211, 269, 18224, 532, 782, 3211, 1644, 547, 476, 274, 6113, 3446, 8580, 17313, 269, 769, 824, 1913, 267, 952, 596, 2328, 711, 1152, 616, 856, 540, 8322, 638, 1115, 267, 596, 3112, 2328, 855, 849, 856, 540, 11084, 269, 3883, 540, 544, 768, 517, 3992, 476, 2412, 519, 20220, 611, 2572, 616, 3366, 547, 519, 16219, 2244, 552, 750, 476, 1626, 269, 901, 954, 915, 687, 3992, 814, 5639, 11051, 2542, 519, 1806, 563, 288, 26893, 7132, 835, 540, 519, 25640, 8580, 17313, 10178, 2692, 903, 786, 6707, 269, 24656, 569, 4651, 543, 795, 4615, 5795, 721, 519, 30920, 7792, 3450, 2337, 269, 24110, 476, 3374, 1397, 707, 3791, 267, 8772, 267, 543, 11359, 14079, 1053, 519, 3652, 540, 8239, 267, 609, 891, 7792, 3211, 543, 4245, 269, 898, 568, 873, 539, 1472, 25064, 267, 14070, 2575, 22407, 269, 7994, 606, 2534, 610, 1079, 689, 519, 2009, 3450, 3268, 3296, 585, 519, 1101, 7008, 540, 2395, 269, 12729, 11585, 568, 513, 3102, 3670, 1433, 3126, 8720, 519, 11585, 6437, 585, 1296, 476, 1626, 269, 634, 14966, 6656, 666, 849, 581, 27762, 909, 3677, 543, 1031, 607, 513, 4928, 4159, 610, 12576, 585, 1453, 540, 8580, 17313, 547, 946, 269, 901, 1587, 2882, 2326, 547, 2259, 543, 2708, 2875, 1620, 540, 4930, 267, 8580, 17313, 267, 840, 21752, 267, 543, 21770, 269, 1677, 948, 519, 1453, 3314, 1018, 789, 4121, 1282, 1362, 1775, 2813, 713, 2370, 30453, 269, 6096, 616, 1210, 8580, 17313, 267, 1079, 2010, 540, 8580, 17313, 267, 25640, 8580, 17313, 267, 1016, 867, 3215, 8580, 17313, 267, 2034, 543, 3791, 3446, 1603, 17835, 267, 2542, 5339, 678, 331, 2542, 21141, 27632, 1883, 2093, 267, 9256, 5220, 609, 1016, 867, 3215, 8580, 17313, 269, 1280, 811, 2093, 593, 875, 1775, 946, 891, 1688, 8083, 538, 1250, 4245, 267, 581, 2386, 547, 2638, 856, 1250, 2022, 593, 1210, 13746, 547, 269, 594, 723, 4904, 538, 513, 1906, 5220, 547, 8580, 7765, 267, 2705, 267, 621, 568, 4440, 1655, 547, 1118, 909, 707, 1378, 563, 21930, 5830, 2697, 519, 8580, 17313, 538, 5220, 267, 3442, 543, 267, 855, 267, 610, 610, 547, 2347, 5220, 267, 6474, 1079, 9587, 540, 1913, 267, 543, 6443, 873, 609, 8580, 17313, 547, 1711, 269, 2296, 8239, 3992, 1210, 8580, 17313, 7157, 538, 5220, 1863, 7005, 4245, 8653, 269, 901, 1587, 2882, 476, 280, 2238, 585, 1565, 2241, 543, 7623, 5220, 267, 7132, 8580, 17313, 269, 1703, 568, 513, 726, 32418, 693, 519, 1439, 540, 519, 3992, 1141, 1453, 1590, 1224, 513, 4845, 1519, 513, 14966, 543, 6430, 2436, 519, 4845, 2306, 2631, 269, 634, 1739, 25258, 616, 3769, 538, 713, 524, 13700, 3992, 269, 898, 1185, 1044, 513, 1279, 942, 2094, 1775, 1185, 2063, 5129, 11176, 269, 634, 3483, 540, 713, 1433, 568, 547, 5351, 10453, 547, 3717, 543, 2328, 519, 7005, 1893, 7157, 563, 8196, 8580, 17313, 267, 740, 18690, 543, 840, 21752, 547, 2769, 942, 543, 2014, 3450, 2200, 585, 269, 4239, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8754, 519, 28215, 563, 1432, 568, 17842, 779, 1793, 25830, 888, 307, 528, 15193, 779, 1793, 25830, 568, 968, 291, 1751, 568, 938, 23848, 563, 3963, 568, 17842, 865, 4583, 888, 307, 528, 15193, 568, 4583, 585, 922, 4763, 543, 2528, 269, 898, 568, 513, 2101, 4099, 585, 8804, 267, 1870, 267, 543, 2528, 538, 3345, 3013, 269, 17842, 568, 849, 1753, 547, 930, 540, 519, 1655, 14060, 543, 3781, 5158, 538, 519, 1158, 563, 3963, 568, 25429, 32108, 1572, 1715, 10430, 888, 301, 13960, 32108, 729, 8385, 3957, 6298, 807, 676, 519, 3943, 267, 543, 729, 26948, 25429, 32108, 630, 6124, 10430, 264, 676, 519, 3703, 563, 3963, 568, 17842, 711, 519, 3854, 540, 4516, 888, 307, 528, 15193, 568, 711, 519, 3854, 540, 4516, 1317, 519, 3854, 568, 31747, 267, 799, 568, 4092, 538, 519, 11662, 540, 14411, 269, 17842, 568, 519, 4102, 2749, 538, 4516, 267, 543, 568, 1753, 547, 513, 1297, 540, 1271, 5238, 267, 1519, 519, 12057, 540, 4516, 267, 519, 7813, 540, 4516, 267, 543, 519, 9576, 8225, 6778, 539, 17318, 269, 1717, 267, 31747, 568, 519, 4013, 3854, 540, 4516, 1317, 621, 568, 4092, 538, 519, 13664, 8998, 540, 519, 2197, 563, 3963, 568, 621, 1572, 3703, 12052, 888, 23873, 12052, 568, 3957, 1310, 519, 3703, 10424, 1920, 269, 634, 2012, 729, 2016, 547, 519, 1858, 676, 10348, 15117, 538, 476, 6977, 279, 563, 1692, 1705, 22598, 1205, 922, 2012, 888, 2704, 828, 3279, 729, 3957, 1310, 25905, 7200, 1047, 8349, 710, 22598, 267, 519, 8772, 8250, 540, 10348, 15117, 543, 13584, 15751, 563, 9989, 6628, 744, 310, 301, 4516, 888, 5591, 267, 6628, 1281, 711, 1378, 4516, 269, 634, 1079, 2477, 723, 513, 7294, 1686, 267, 855, 789, 616, 711, 20248, 11262, 676, 835, 1776, 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 ]
[ 982, 1101, 22831, 25316, 2134, 18352, 538, 8156, 519, 2942, 2589, 540, 18624, 269, 0, 2304, 2079, 540, 7104, 29541, 535, 16206, 2152, 543, 741, 1198, 593, 2359, 543, 11832, 454, 268, 476, 14631, 9664, 454, 268, 476, 271, 269, 736, 15406, 454, 268, 476, 28192, 275, 20042, 454, 347, 13750, 618, 1475, 314, 763, 3974, 4843, 585, 519, 4110, 540, 631, 11065, 6993, 269, 693, 11785, 2160, 269, 5441, 540, 6355, 10029, 316, 476, 3707, 280, 2008, 21511, 8447, 8629, 2008, 27751, 593, 513, 4627, 2665, 540, 552, 750, 606, 19508, 560, 1127, 807, 676, 1849, 13569, 23254, 518, 454, 30020, 9664, 273, 269, 4792, 15406, 5379, 278, 273, 20042, 26705, 281, 674, 289, 273, 454, 295, 17639, 2244, 538, 4683, 2127, 563, 26482, 9664, 275, 269, 4375, 15406, 277, 4281, 280, 20042, 26705, 281, 7300, 270, 7968, 18510, 454, 293, 268, 279, 1201, 3241, 532, 22820, 2666, 19089, 1449, 454, 8064, 272, 9664, 274, 269, 2568, 15406, 26326, 275, 20042, 26705, 281, 7300, 270, 7968, 18510, 454, 22860, 3749, 543, 26616, 9828, 585, 590, 2438, 13503, 528, 10049, 267, 20905, 543, 22948, 454, 18605, 9664, 275, 269, 7176, 15406, 6924, 274, 20042, 26705, 281, 674, 289, 273, 454, 3682, 339, 4377, 1996, 519, 1159, 10212, 1782, 540, 20404, 676, 2244, 267, 4262, 2011, 267, 7110, 532, 519, 2136, 8315, 13482, 1996, 30427, 6896, 6760, 454, 6812, 272, 9664, 274, 269, 5379, 15406, 5952, 272, 271, 20042, 26705, 281, 7300, 270, 7968, 18510, 454, 2691, 5520, 540, 606, 3919, 8917, 547, 9769, 1125, 267, 519, 1184, 585, 7104, 29541, 5956, 269, 11814, 633, 29541, 568, 519, 1184, 540, 16395, 1063, 519, 2754, 543, 13222, 540, 519, 9769, 269, 634, 3804, 568, 585, 2359, 543, 519, 9769, 547, 3914, 513, 4579, 6876, 267, 799, 568, 2322, 883, 1747, 585, 513, 9138, 1974, 540, 942, 563, 8624, 29193, 29541, 568, 513, 14911, 1184, 1775, 4318, 269, 1142, 5428, 2115, 1945, 602, 519, 824, 5428, 814, 282, 4074, 666, 2333, 7607, 543, 2359, 666, 2628, 1732, 585, 741, 3646, 269, 11814, 633, 29541, 11148, 547, 2087, 519, 1894, 1063, 4600, 543, 519, 9769, 593, 519, 835, 1688, 543, 519, 16108, 593, 519, 824, 563, 763, 24288, 28079, 781, 17185, 568, 547, 2327, 602, 782, 3028, 5520, 616, 6976, 1100, 1447, 982, 519, 13848, 543, 535, 16206, 2640, 547, 799, 519, 5520, 1131, 723, 1044, 13886, 267, 1519, 17053, 4679, 267, 952, 6964, 896, 519, 31317, 781, 7104, 29541, 6876, 585, 519, 1101, 1032, 540, 519, 4579, 630, 328, 4318, 563, 597, 637, 8826, 540, 2436, 269, 3040, 11814, 633, 29541, 11148, 547, 3895, 513, 2631, 540, 2816, 3354, 1851, 5520, 543, 7551, 11148, 547, 2569, 519, 1942, 540, 4074, 24826, 547, 2359, 269, 3040, 11814, 633, 29541, 10741, 909, 519, 8756, 540, 2792, 1063, 519, 4600, 543, 519, 2359, 543, 4679, 11832, 7589, 538, 3375, 1818, 563, 3682, 338, 543, 3117, 540, 11814, 633, 645, 1173, 8724, 8791, 594, 281, 4937, 5383, 543, 11393, 540, 7104, 29541, 18370, 3040, 2052, 1291, 547, 1164, 26024, 9036, 1141, 4074, 543, 2359, 24973, 4497, 538, 1966, 6061, 267, 5466, 2152, 593, 606, 3160, 7555, 563, 1892, 30216, 16155, 1759, 24845, 2078, 269, 3040, 5004, 779, 2924, 616, 5693, 269, 1133, 687, 723, 513, 8101, 1764, 593, 519, 13180, 543, 960, 2729, 540, 1312, 9769, 1242, 543, 1875, 10595, 542, 1242, 4600, 269, 901, 1867, 6799, 1699, 1239, 593, 18787, 1198, 593, 13848, 267, 535, 16206, 2640, 267, 2698, 13180, 267, 2628, 8635, 267, 543, 9036, 20038, 563, 5278, 540, 519, 8753, 616, 281, 1133, 687, 6318, 13848, 540, 9769, 1242, 4600, 676, 10199, 476, 736, 260, 543, 6318, 13180, 269, 898, 14405, 593, 513, 1007, 3084, 5619, 540, 4074, 543, 16108, 13222, 547, 1683, 513, 25135, 14653, 540, 1699, 7104, 29541, 538, 519, 2136, 2276, 15301, 273, 264, 901, 1867, 12116, 519, 12503, 7133, 4074, 543, 2359, 3238, 538, 16395, 267, 519, 2152, 1034, 4749, 9619, 538, 29541, 267, 519, 1909, 540, 519, 4579, 21120, 267, 2604, 563, 8624, 29193, 645, 1173, 8724, 538, 8534, 9534, 476, 272, 269, 16294, 519, 2165, 968, 3712, 29193, 29541, 892, 543, 1592, 543, 4766, 2185, 2152, 602, 616, 16601, 3334, 540, 513, 7104, 29541, 6876, 563, 763, 2165, 968, 3712, 29193, 29541, 892, 568, 513, 5402, 2219, 856, 543, 2854, 4579, 267, 1063, 519, 2359, 540, 513, 2754, 543, 922, 3656, 4579, 568, 6719, 676, 606, 269, 769, 513, 7104, 29541, 3510, 267, 972, 616, 2356, 1079, 2101, 2516, 540, 2152, 281, 519, 4655, 2152, 1141, 1312, 6105, 723, 28836, 4690, 971, 607, 13848, 267, 3108, 540, 960, 267, 27404, 3092, 267, 543, 563, 4596, 299, 28421, 20937, 645, 2752, 16598, 2562, 5058, 269, 634, 1184, 998, 799, 620, 1987, 9769, 663, 606, 16108, 21907, 519, 9165, 540, 519, 7694, 2078, 269, 589, 7104, 29541, 6876, 568, 519, 10700, 3804, 540, 519, 7104, 29541, 1184, 563, 23777, 1227, 267, 519, 6876, 20964, 13848, 267, 3108, 267, 3260, 687, 267, 2640, 267, 543, 824, 7694, 2474, 607, 1134, 607, 5773, 585, 7829, 13882, 563, 534, 4519, 540, 535, 16206, 2640, 269, 2991, 513, 5618, 771, 2275, 15664, 540, 519, 2152, 585, 2359, 538, 967, 639, 2389, 7434, 1894, 267, 971, 607, 519, 991, 585, 556, 6716, 1944, 2359, 547, 4308, 609, 519, 9769, 267, 519, 4589, 1459, 741, 4681, 593, 519, 1764, 540, 519, 9769, 476, 272, 901, 568, 513, 2689, 2376, 540, 634, 8177, 540, 2051, 268, 29193, 645, 1173, 8724, 593, 5004, 267, 676, 5681, 1676, 670, 563, 763, 1353, 8813, 1369, 10986, 2359, 543, 10986, 2359, 2687, 547, 4469, 2089, 334, 568, 3989, 607, 519, 4058, 267, 12180, 267, 28068, 543, 9013, 540, 519, 27147, 267, 1646, 267, 13180, 267, 5610, 267, 5826, 543, 9668, 540, 1480, 2200, 693, 519, 1439, 555, 339, 1367, 10721, 543, 6848, 6859, 616, 2433, 18281, 656, 639, 744, 6577, 563, 2006, 1771, 814, 547, 4163, 856, 606, 538, 3829, 2079, 540, 741, 5520, 543, 1265, 856, 519, 24572, 2188, 602, 786, 2333, 1164, 9441, 2816, 2773, 269, 11790, 1031, 547, 2268, 606, 1367, 2816, 269, 769, 19604, 10542, 24192, 9400, 645, 269, 6154, 17507, 543, 6276, 700, 269, 2405, 4752, 3370, 513, 1433, 1572, 1548, 1684, 1133, 687, 1684, 563, 2005, 568, 606, 3573, 630, 2457, 264, 11050, 2079, 540, 519, 13230, 543, 1875, 342, 720, 2360, 540, 4123, 18787, 269, 4256, 3932, 281, 2201, 3666, 267, 9769, 1436, 5526, 547, 2087, 2864, 982, 547, 2800, 519, 1514, 543, 2804, 1062, 563, 263, 17273, 476, 866, 1040, 840, 2380, 633, 5758, 540, 741, 1378, 543, 824, 3173, 262, 7194, 593, 519, 8428, 268, 1878, 538, 9769, 543, 1875, 684, 542, 13848, 267, 12434, 267, 11832, 8456, 267, 535, 16206, 2640, 267, 13864, 267, 543, 7607, 3928, 1063, 519, 9769, 543, 1875, 684, 542, 9922, 563, 763, 1433, 781, 2101, 8467, 568, 519, 4589, 262, 8942, 547, 4612, 713, 1239, 543, 269, 3399, 4974, 3848, 476, 1556, 5274, 12754, 5004, 281, 15531, 543, 18227, 519, 7454, 31740, 269, 6258, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 563, 28097, 525, 519, 2601, 585, 17996, 3427, 4425, 1841, 5948, 781, 11685, 547, 7104, 29541, 9086, 585, 3610, 269, 8845, 15387, 602, 519, 23794, 10621, 814, 9846, 10353, 29541, 585, 1153, 5520, 1317, 281, 519, 1857, 568, 10353, 547, 621, 267, 621, 568, 7199, 267, 621, 11527, 8460, 2199, 1852, 540, 2069, 267, 543, 267, 538, 519, 3803, 2079, 267, 621, 568, 17672, 547, 519, 563, 684, 542, 1198, 593, 9441, 2640, 5161, 540, 1312, 513, 26771, 543, 513, 7104, 5639, 1198, 267, 1498, 972, 568, 2647, 8390, 734, 24119, 2056, 593, 519, 20487, 267, 519, 7104, 5639, 1198, 1522, 581, 607, 1970, 607, 476, 1839, 2600, 610, 607, 1164, 607, 476, 4037, 2600, 269, 1809, 972, 2141, 5526, 547, 581, 513, 1875, 13700, 20190, 3575, 540, 1312, 519, 26771, 543, 7104, 5639, 12025, 281, 476, 7176, 30641, 563, 763, 4681, 540, 519, 1353, 5815, 602, 11814, 633, 645, 1173, 8724, 814, 606, 2318, 1764, 593, 519, 5599, 2872, 538, 13095, 22781, 689, 519, 12170, 1239, 17429, 1027, 689, 519, 2079, 543, 1239, 2433, 1744, 1731, 3279, 19453, 269, 589, 21718, 26564, 1018, 519, 23649, 540, 519, 2816, 1281, 543, 875, 543, 1946, 646, 610, 1352, 1281, 621, 563, 20373, 1323, 2079, 540, 7104, 29541, 535, 16206, 2152, 543, 741, 1198, 593, 2359, 543, 11832, 21768, 18510, 454, 2690, 1383, 267, 713, 3561, 1522, 1533, 267, 834, 1103, 713, 2816, 267, 519, 11832, 20205, 533, 11170, 553, 1369, 513, 13304, 8953, 540, 519, 533, 11170, 4997, 267, 3533, 543, 16425, 267, 1247, 1073, 324, 3539, 782, 6808, 4031, 543, 6117, 19100, 1701, 589, 563, 329, 984, 2079, 645, 269, 10853, 2816, 12744, 595, 269, 2816, 20487, 269, 11814, 633, 645, 1173, 8724, 281, 769, 594, 11965, 267, 7104, 29541, 13822, 835, 540, 519, 1034, 1271, 7271, 540, 4341, 6194, 11807, 547, 1312, 519, 12820, 607, 1134, 607, 519, 4600, 269, 23225, 6932, 3466, 538, 519, 7104, 29541, 1184, 616, 281, 1775, 563, 25583, 540, 7104, 29541, 568, 16756, 532, 1554, 676, 1554, 269, 21398, 10498, 8946, 12767, 12164, 14888, 16739, 5508, 661, 6573, 26183, 312, 16774, 269, 7170, 594, 20796, 32578, 12164, 14888, 16739, 6730, 681, 12239, 25783, 296, 7495, 306, 269, 3848, 594, 670, 5495, 11965, 5508, 20796, 298, 269, 3203, 269, 15147, 720, 269, 634, 14074, 540, 713, 7170, 4927, 4019, 547, 5520, 538, 782, 24284, 543, 9333, 752, 902, 2436, 585, 7443, 610, 711, 267, 855, 711, 547, 2229, 5520, 267, 31707, 5520, 267, 2361, 10986, 267, 2818, 540, 519, 1920, 540, 519, 563, 4462, 542, 12186, 593, 2657, 15928, 3038, 1707, 543, 15147, 720, 538, 519, 2136, 2276, 7338, 595, 269, 29246, 14153, 11839, 265, 998, 519, 13283, 13414, 543, 11268, 7271, 7915, 538, 519, 7104, 29541, 1184, 267, 18787, 6318, 519, 1377, 540, 2640, 4607, 676, 5520, 543, 519, 2671, 540, 630, 8999, 3405, 1242, 538, 741, 1433, 1916, 4462, 687, 666, 1404, 513, 1909, 538, 2870, 543, 4657, 606, 3919, 779, 2528, 267, 2094, 789, 616, 538, 513, 2990, 547, 1683, 519, 13781, 609, 1344, 2966, 547, 3310, 3664, 827, 960, 2853, 267, 3652, 267, 9053, 5615, 543, 8456, 267, 3092, 563, 10048, 1771, 607, 1134, 607, 5234, 9367, 991, 267, 4061, 267, 547, 5968, 4749, 609, 4123, 9769, 10492, 269, 11780, 9769, 267, 849, 1572, 11668, 9769, 267, 7681, 540, 4600, 538, 513, 1880, 4123, 267, 2872, 267, 610, 2754, 2813, 585, 519, 3483, 540, 17516, 9283, 538, 2628, 267, 2640, 267, 2324, 2175, 267, 610, 1514, 543, 2797, 4567, 998, 7104, 29541, 563, 23208, 1646, 269, 1306, 606, 6896, 3350, 267, 4123, 9769, 1143, 630, 10193, 1572, 6896, 11668, 264, 12090, 538, 519, 476, 866, 628, 269, 769, 741, 1433, 267, 1548, 20709, 21763, 630, 1070, 5584, 832, 9400, 6154, 17507, 543, 11835, 601, 29124, 4362, 602, 936, 476, 3199, 2600, 540, 5520, 1131, 899, 930, 1106, 540, 7104, 5872, 609, 2359, 267, 609, 3592, 3368, 540, 891, 17013, 10834, 606, 1719, 538, 2757, 4074, 18787, 270, 276, 263, 278, 1916, 13126, 281, 12448, 22175, 1084, 267, 2160, 540, 12309, 281, 4972, 540, 13188, 543, 16110, 3427, 540, 5398, 8889, 267, 5412, 476, 274, 267, 901, 1957, 11394, 547, 2697, 519, 1198, 602, 1857, 5823, 18787, 723, 593, 13180, 269, 13018, 267, 594, 1413, 693, 519, 13180, 14167, 2404, 609, 3610, 685, 18787, 538, 16855, 563, 12606, 1323, 2079, 540, 7104, 29541, 535, 16206, 2152, 543, 741, 1198, 593, 2359, 543, 11832, 674, 289, 273, 454, 1103, 310, 529, 15898, 5293, 513, 19506, 1876, 630, 8002, 476, 1015, 264, 799, 269, 9546, 27926, 2799, 9441, 13848, 1317, 621, 1185, 547, 269, 634, 2754, 729, 6849, 10373, 2604, 689, 519, 2923, 267, 741, 5520, 543, 3544, 3906, 585, 13230, 4679, 563, 4415, 669, 1248, 3790, 1107, 476, 273, 8191, 281, 11709, 612, 320, 8525, 269, 519, 16108, 1281, 711, 16783, 609, 519, 6876, 543, 9479, 971, 607, 3009, 540, 9015, 543, 7104, 29541, 282, 519, 2359, 1281, 711, 11760, 519, 4123, 18787, 607, 513, 11347, 540, 519, 9769, 2818, 267, 1775, 4318, 1421, 519, 960, 5443, 563, 30025, 7557, 10320, 269, 2311, 2053, 267, 519, 2229, 19330, 513, 5078, 4640, 547, 2232, 4853, 13882, 563, 19547, 5661, 1323, 2079, 540, 7104, 29541, 535, 16206, 2152, 543, 741, 1198, 593, 2359, 543, 11832, 674, 289, 273, 454, 288 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10214, 950, 1352, 729, 513, 1126, 267, 808, 532, 22974, 2871, 334, 729, 19832, 676, 2230, 269, 4653, 519, 476, 2764, 4458, 6040, 28936, 903, 545, 626, 689, 3624, 9843, 513, 1382, 2319, 693, 519, 4436, 2160, 540, 918, 1408, 269, 4173, 2319, 2919, 606, 6293, 585, 519, 2475, 1382, 8773, 595, 308, 6020, 5308, 14510, 547, 2268, 5982, 2157, 593, 519, 2627, 540, 9370, 585, 519, 1360, 1101, 942, 269, 2334, 1344, 786, 948, 721, 1174, 2436, 2175, 593, 519, 4414, 14136, 1223, 835, 1554, 581, 20009, 547, 1272, 269, 634, 1412, 289, 18115, 5050, 9650, 338, 262, 3126, 593, 570, 6865, 3036, 4629, 310, 9215, 31165, 12857, 1762, 3173, 689, 782, 936, 519, 1158, 945, 723, 6074, 547, 2661, 543, 960, 538, 5125, 269, 0, 14503, 1662, 15258, 5590, 2776, 1613, 454, 306, 728, 6789, 728, 645, 454, 763, 981, 5161, 540, 1570, 593, 281, 6637, 476, 276, 281, 634, 23840, 8609, 6637, 476, 277, 281, 32213, 22604, 547, 8889, 5336, 1136, 6637, 476, 278, 281, 14118, 9760, 8889, 3245, 31072, 519, 3590, 6637, 476, 279, 281, 932, 1779, 2483, 6637, 476, 276, 281, 634, 23840, 8609, 454, 268, 1607, 568, 519, 3942, 540, 3609, 1818, 1141, 3609, 543, 2259, 1831, 538, 29323, 762, 11607, 303, 847, 819, 619, 610, 4395, 1899, 4600, 616, 7533, 538, 513, 3609, 781, 6388, 563, 303, 847, 819, 619, 610, 4395, 1899, 4600, 723, 513, 3099, 540, 3681, 585, 12018, 513, 3609, 912, 272, 264, 1358, 666, 2936, 519, 3609, 607, 5497, 273, 264, 5445, 666, 3986, 2640, 585, 3028, 3755, 1369, 741, 12732, 540, 1852, 269, 274, 264, 1763, 626, 3609, 6388, 998, 1875, 10687, 20869, 610, 824, 2483, 303, 4301, 625, 7237, 2629, 795, 9417, 999, 1141, 3255, 2291, 547, 7369, 4287, 269, 634, 3476, 519, 5832, 689, 2212, 547, 2361, 13646, 267, 519, 13112, 21838, 519, 3948, 540, 3609, 6859, 563, 2304, 1935, 547, 6388, 1141, 2212, 5604, 3217, 5279, 540, 519, 1184, 543, 23131, 1524, 547, 2361, 13646, 610, 4395, 1899, 5234, 563, 289, 18847, 5346, 610, 7982, 2072, 29570, 454, 303, 32123, 1818, 607, 4358, 693, 519, 2707, 540, 519, 1966, 267, 1346, 1034, 4299, 971, 607, 3028, 3755, 543, 9439, 543, 32338, 622, 909, 547, 519, 1283, 610, 2212, 13646, 563, 10521, 25159, 540, 13229, 23840, 912, 763, 7167, 659, 885, 543, 7029, 540, 9439, 763, 6239, 1436, 540, 1379, 1369, 519, 2212, 5604, 630, 763, 3152, 3845, 1063, 2212, 1299, 2361, 13646, 31972, 6637, 476, 277, 281, 32213, 22604, 547, 8889, 5336, 1136, 454, 2467, 616, 2640, 543, 4220, 547, 8537, 3631, 540, 3609, 6194, 24093, 912, 268, 6496, 711, 6038, 10018, 8537, 610, 1514, 5126, 10850, 268, 17829, 609, 811, 1379, 949, 1869, 3635, 1852, 28612, 268, 1103, 21438, 3609, 1818, 972, 2483, 2467, 616, 2640, 543, 4220, 547, 8537, 3631, 540, 3609, 6194, 11588, 912, 268, 21727, 585, 20232, 540, 18748, 539, 9314, 338, 454, 2304, 8537, 1935, 547, 3609, 1818, 9967, 540, 11018, 3403, 689, 13222, 540, 782, 2157, 1369, 606, 3919, 269, 630, 9802, 1331, 3028, 3755, 994, 275, 22604, 610, 17738, 547, 32213, 8889, 5336, 1136, 476, 272, 264, 7982, 1189, 29570, 281, 476, 273, 264, 2483, 7476, 707, 2212, 883, 713, 267, 1445, 30314, 30314, 30314, 30314, 30314, 8627, 1103, 3829, 2070, 540, 519, 1614, 1883, 3631, 2483, 28275, 689, 519, 2707, 540, 519, 1966, 267, 610, 1346, 945, 1995, 621, 19466, 269, 6744, 532, 609, 4299, 547, 1118, 2386, 519, 3609, 9356, 741, 5784, 543, 4690, 563, 4537, 1563, 17423, 10435, 912, 1103, 5477, 1935, 547, 1491, 883, 2272, 519, 5784, 540, 1346, 9244, 10353, 547, 519, 1788, 910, 305, 895, 3349, 5717, 609, 513, 15645, 1807, 4429, 299, 5366, 569, 5679, 527, 2516, 540, 2043, 609, 1719, 538, 513, 3609, 1858, 269, 910, 4692, 1331, 14761, 267, 3540, 22063, 543, 2146, 8116, 13222, 269, 8889, 2483, 268, 8061, 1828, 540, 22257, 5539, 998, 2146, 12545, 3092, 1862, 608, 281, 1153, 12545, 267, 1072, 5646, 15078, 454, 26322, 26291, 630, 11666, 4240, 2567, 19177, 14362, 281, 21191, 3201, 454, 288, 742, 6541, 281, 9406, 547, 723, 2533, 2139, 547, 3309, 1402, 6993, 26327, 9314, 338, 281, 9406, 547, 723, 513, 2161, 538, 4507, 4882, 26236, 602, 1860, 596, 16966, 2225, 281, 7896, 2139, 538, 519, 2146, 20181, 2483, 26322, 26291, 630, 11666, 4240, 2567, 634, 30142, 14476, 22791, 994, 268, 31714, 723, 811, 2463, 585, 4031, 4882, 26236, 9706, 4301, 625, 602, 789, 1185, 1044, 31570, 936, 11607, 19061, 338, 799, 1004, 723, 5280, 547, 1305, 909, 543, 2936, 616, 9053, 563, 26322, 26291, 630, 11666, 4240, 2567, 634, 10598, 2510, 11196, 994, 5025, 322, 1393, 10871, 4345, 281, 7991, 1223, 1831, 6806, 270, 18066, 730, 543, 703, 26985, 540, 824, 5784, 4211, 746, 581, 9228, 607, 513, 1259, 585, 29724, 2000, 28515, 6608, 547, 2759, 3790, 676, 15139, 1436, 563, 6637, 476, 278, 281, 14118, 9760, 8889, 3245, 31072, 519, 3590, 454, 1607, 3184, 5654, 693, 519, 5107, 540, 18787, 267, 3318, 12205, 267, 1589, 13688, 267, 1514, 5322, 1299, 14223, 2516, 11607, 10705, 12833, 6295, 519, 2923, 1299, 27646, 25738, 454, 4462, 687, 543, 12333, 4889, 725, 538, 8889, 5336, 1136, 454, 4462, 687, 616, 15747, 538, 3609, 1818, 543, 723, 1044, 3811, 538, 2628, 9698, 267, 24913, 2152, 543, 2324, 2175, 268, 32153, 4889, 725, 948, 547, 10038, 741, 6080, 563, 16391, 3074, 602, 798, 1382, 593, 1857, 4882, 3469, 2152, 910, 27269, 723, 1978, 19237, 267, 585, 1383, 281, 2605, 6471, 4659, 910, 6212, 593, 1863, 2344, 1935, 547, 1514, 3609, 6194, 454, 12892, 28073, 1299, 8889, 5917, 11229, 20492, 454, 12892, 5322, 971, 607, 519, 18763, 12389, 11873, 723, 1713, 3310, 593, 1514, 3609, 269, 4635, 513, 17618, 1759, 3060, 540, 3906, 609, 1455, 4690, 12171, 21682, 593, 2483, 2662, 16824, 645, 27172, 630, 274, 22020, 994, 272, 264, 3465, 775, 540, 19837, 550, 630, 288, 16346, 540, 4636, 4777, 532, 264, 273, 264, 6601, 778, 540, 700, 5819, 1399, 274, 264, 6452, 639, 566, 630, 4467, 680, 5593, 21362, 1229, 994, 6637, 476, 279, 281, 932, 1779, 543, 4258, 3150, 630, 293, 655, 24452, 994, 4149, 727, 8044, 15594, 16786, 814, 1044, 12913, 267, 855, 1082, 2152, 616, 1869, 14222, 11607, 293, 655, 21442, 3206, 2591, 6671, 7326, 540, 7862, 563, 6637, 476, 279, 281, 932, 1779, 543, 4258, 3150, 630, 293, 655, 24452, 994, 18744, 476, 2420, 260, 540, 5313, 14761, 616, 2021, 296, 928, 638, 1275, 568, 9916, 538, 4948, 1272, 6624, 5238, 6417, 676, 1647, 27070, 2367, 13328, 2070, 2115, 547, 581, 632, 24554, 539, 454, 13553, 5951, 540, 22158, 630, 2568, 338, 1299, 476, 3583, 338, 264, 634, 9608, 568, 11572, 912, 23149, 1016, 24503, 566, 543, 11393, 666, 581, 4448, 547, 13016, 543, 6101, 3889, 563, 293, 655, 24452, 538, 8889, 5336, 1136, 454, 268, 26046, 540, 4507, 543, 741, 5222, 593, 1367, 2021, 8566, 2658, 1759, 2079, 2591, 602, 3025, 568, 4299, 676, 4507, 538, 513, 2147, 1259, 268, 2005, 568, 1271, 547, 3314, 602, 2483, 763, 1318, 547, 8917, 910, 4489, 279, 18131, 607, 7606, 910, 476, 4572, 280, 305, 5819, 8189, 593, 21073, 540, 6468, 630, 3192, 278, 264, 3366, 547, 1082, 4507, 543, 3292, 547, 2232, 16526, 563, 10468, 334, 2000, 28515, 19237, 4161, 2021, 781, 2924, 17220, 4296, 609, 824, 15594, 2516, 547, 4161, 8801, 5540, 540, 14051, 454, 4692, 6598, 12339, 21442, 19137, 585, 4139, 11059, 910, 10870, 531, 819, 540, 936, 476, 4037, 8225, 2021, 781, 2516, 547, 2417, 2021, 781, 2924, 454, 6637, 476, 1015, 281, 8889, 5336, 1136, 538, 16971, 4132, 543, 7731, 7896, 454, 763, 705, 13092, 2796, 540, 3609, 6194, 543, 3609, 2079, 568, 1271, 547, 5659, 281, 272, 264, 16971, 1004, 1034, 12790, 273, 264, 16971, 2081, 948, 721, 5660, 543, 2015, 1114, 2483, 10521, 2565, 2152, 538, 16971, 3609, 6194, 454, 297, 9766, 323, 12302, 1852, 2152, 293, 27448, 2152, 12171, 27448, 568, 998, 1546, 696, 269, 540, 4095, 543, 8832, 16457, 269, 3080, 3390, 568, 7616, 593, 14425, 1141, 3908, 2533, 616, 2139, 563, 4537, 1563, 17423, 5336, 1136, 630, 1103, 606, 705, 13092, 2796, 994, 11328, 9146, 1063, 979, 26404, 269, 543, 2146, 568, 1898, 288, 574, 281, 19372, 20102, 11807, 4507, 543, 3292, 7868, 1184, 568, 547, 581, 10319, 610, 513, 11450, 563, 17730, 3609, 2950, 543, 2146, 10350, 912, 3682, 9109, 1017, 11036, 538, 31671, 20899, 547, 1964, 4450, 1126, 10304, 1644, 547, 1007, 705, 13092, 8128, 945, 1131, 8263, 5539, 585, 1126, 10304, 268, 1607, 4483, 540, 16278, 1862, 0, 20597, 760, 547, 32522, 454, 11357, 18285, 547, 9578, 454, 15507, 713, 3135, 912, 763, 18173, 1166, 777, 5433, 2066, 519, 1158, 454, 763, 4651, 540, 14784, 3069, 10523, 454, 2419, 320, 657, 538, 519, 2634, 454, 306, 11691, 602, 2576, 568, 513, 26093, 1589, 518, 1522, 3100, 899, 606, 29405, 910, 855, 267, 2687, 547, 454, 267, 621, 1223, 581, 602, 519, 6310, 7613, 540, 14784, 568, 513, 2629, 851, 540, 1018, 2306, 938, 12058, 960, 563, 18662, 1053, 948, 3173, 4339, 3676, 454, 288, 1788, 5473, 6281, 1153, 1053, 814, 9447, 3407, 1239, 585, 16917, 328, 5505, 563, 307, 5142, 624, 532, 519, 5086, 609, 513, 2786, 8354, 454, 763, 7543, 3587, 2009, 950, 596, 1847, 883, 519, 3791, 10155, 563, 13043, 338, 538, 513, 8792, 281, 570, 4979, 13542, 454, 3963, 972, 616, 1152, 1614, 2834, 29977, 596, 666, 22739, 513, 3774, 609, 563, 22033, 827, 1344, 454, 1432, 568, 1344, 543, 875, 1281, 621, 3337, 938, 4641, 888, 23763, 1447, 6808, 286, 12706, 7864, 9897, 2336, 288, 6310, 834, 1706, 611, 2135, 257, 6941, 1946, 811, 9897, 1810, 1405, 8209, 1611, 7864, 6808, 795, 4461, 563, 307, 933, 1115, 676, 7711, 15200, 4118, 338, 3073, 454, 19868, 514, 547, 6085, 610, 4647, 7300, 338, 454, 8620, 1007, 2272, 454, 26473, 652, 1007, 10957, 454, 2414, 2061, 12747, 28417, 22347, 3827, 4734, 713, 2361, 8900, 269, 0, 17556, 1597, 590, 269, 7137, 11170, 328, 281, 12493, 570, 809, 513, 31133, 1076, 609, 661, 2006, 322, 11692, 305, 895, 1575, 281, 32695, 6168, 3778, 454, 17556, 1597, 590, 269, 7137, 11170, 328, 568, 513, 7548, 540, 1686, 543, 2797, 2257, 693, 7439, 19769, 7991, 5441, 563, 3080, 4627, 15823, 1296, 3516, 10732, 267, 1282, 519, 6406, 2782, 781, 3622, 1167, 15758, 2034, 1032, 267, 5518, 14062, 12493, 4371, 1018, 1522, 723, 1044, 519, 1034, 1271, 22277, 5870, 538, 1686, 563, 763, 8165, 1185, 13175, 538, 4989, 476, 5908, 272, 267, 543, 1018, 1185, 1044, 4397, 547, 581, 513, 2110, 4655, 729, 1631, 476, 1428, 3275, 2025, 269, 1635, 519, 4832, 540, 476, 5908, 273, 267, 519, 5742, 1185, 10150, 930, 1967, 538, 519, 7262, 14364, 540, 519, 2112, 267, 855, 267, 538, 519, 9456, 14364, 602, 729, 10704, 538, 9098, 267, 4937, 7917, 661, 269, 10557, 1185, 21616, 1454, 3677, 5313, 4229, 267, 865, 1100, 1439, 547, 519, 4655, 729, 538, 8289, 19601, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 10555, 31835, 7797, 281, 18237, 665, 2867, 834, 31094, 958, 18103, 1229, 257, 6115, 2961, 5174, 4861, 532, 454, 268, 19375, 670, 3089, 629, 2465, 779, 476, 1960, 279, 3883, 1772, 9509, 2986, 674, 820, 30365, 3245, 3013, 779, 5853, 619, 454, 268, 5753, 1058, 581, 6026, 827, 7092, 896, 519, 3703, 7276, 267, 22819, 3240, 4856, 321, 2106, 3081, 454, 268, 7502, 8632, 3441, 281, 589, 5618, 1686, 540, 772, 2529, 269, 9073, 693, 2112, 454, 268, 5101, 5125, 781, 11580, 616, 7444, 1373, 7000, 454, 268, 12924, 307, 3778, 3883, 17352, 281, 5808, 20944, 3502, 5367, 713, 10432, 888, 268, 12135, 2875, 779, 9972, 5098, 5697, 607, 1283, 1957, 24259, 1769, 593, 2370, 8153, 11802, 936, 13343, 18844, 454, 268, 16024, 1014, 5808, 1160, 5523, 15212, 779, 13303, 12815, 23548, 1231, 22054, 585, 4347, 571, 24851, 3557, 454, 268, 12253, 623, 6346, 3081, 649, 1058, 581, 14126, 602, 11082, 1810, 1406, 2671, 7262, 2418, 454, 268, 17587, 15356, 538, 9085, 13815, 539, 547, 19784, 590, 23439, 331, 3570, 5981, 773, 341, 747, 0, 8794, 6419, 4610, 267, 4480, 666, 3713, 21313, 781, 3653, 2472, 538, 7783, 1973, 2281, 454, 7021, 519, 2250, 1896, 5756, 267, 13663, 5868, 814, 4957, 1360, 2370, 269, 2991, 2921, 513, 1973, 3732, 689, 513, 3461, 267, 513, 27637, 1159, 8986, 519, 1973, 2066, 513, 4837, 13472, 267, 25859, 621, 609, 513, 2027, 20004, 267, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3156, 693, 7646, 5210, 2676, 320, 1732, 1272, 568, 21407, 563, 4322, 15116, 885, 1118, 2717, 2988, 1886, 22005, 454, 9515, 1115, 5078, 585, 3498, 538, 519, 1739, 6080, 912, 268, 11906, 12752, 630, 18586, 540, 1184, 8043, 2676, 268, 21694, 6513, 12752, 630, 325, 5419, 908, 16403, 7958, 2676, 2265, 532, 1299, 5887, 559, 908, 994, 268, 28577, 566, 12752, 630, 325, 5419, 908, 1585, 5068, 454, 339, 3471, 899, 5082, 549, 680, 908, 7382, 267, 10009, 7382, 267, 2126, 454, 339, 1678, 267, 1780, 10474, 7382, 267, 27125, 7382, 267, 11544, 7382, 267, 1696, 4221, 454, 339, 1678, 267, 1558, 1359, 7382, 267, 4859, 7382, 267, 3114, 1184, 7382, 2676, 342, 4292, 1216, 7382, 267, 11067, 7382, 267, 6882, 7382, 267, 3384, 454, 339, 1678, 267, 606, 617, 1944, 7382, 267, 25581, 1184, 7382, 267, 26612, 31756, 994, 268, 8534, 14898, 630, 18350, 7515, 267, 2978, 25568, 994, 268, 700, 1456, 1315, 1849, 32061, 12752, 630, 1231, 728, 16298, 1315, 804, 32061, 454, 1993, 1166, 5190, 267, 9514, 619, 994, 268, 5253, 14409, 543, 13268, 1645, 630, 7901, 525, 267, 8708, 11183, 2676, 1729, 1118, 12511, 1315, 5687, 334, 11526, 4930, 994, 268, 700, 10212, 720, 12752, 630, 2515, 15174, 540, 2571, 561, 10212, 720, 994, 268, 623, 15160, 10787, 916, 630, 935, 3272, 528, 26797, 585, 4015, 540, 5798, 994, 268, 4065, 630, 18872, 15236, 994, 13048, 25420, 616, 2139, 538, 519, 1739, 7306, 267, 15437, 0, 13625, 4655, 593, 519, 1920, 454, 10403, 1557, 281, 519, 6417, 4756, 538, 713, 1353, 786, 581, 519, 1297, 540, 1453, 627, 3796, 519, 4830, 4756, 1377, 540, 1920, 4655, 621, 786, 581, 269, 20895, 281, 1775, 4367, 13797, 1514, 18101, 12787, 3069, 25831, 1920, 2497, 543, 7194, 17488, 519, 1198, 593, 1453, 642, 2883, 2360, 19274, 18441, 642, 4512, 269, 3367, 713, 1557, 593, 1920, 4655, 2097, 19584, 938, 1804, 3059, 23999, 540, 1863, 3732, 3594, 1205, 519, 1702, 596, 991, 538, 1931, 547, 1780, 707, 5049, 563, 306, 1539, 1108, 519, 1920, 519, 3791, 25349, 3069, 630, 534, 1278, 4655, 3069, 264, 568, 22158, 1644, 607, 543, 513, 1377, 1920, 1299, 7365, 3594, 269, 634, 3069, 31234, 602, 4655, 538, 519, 3885, 568, 513, 1360, 3339, 12136, 4655, 6436, 2070, 1920, 607, 513, 1362, 538, 2486, 267, 799, 835, 540, 269, 898, 568, 3339, 547, 10990, 609, 1142, 824, 689, 942, 547, 942, 543, 17573, 4655, 568, 851, 540, 1920, 1272, 269, 901, 568, 968, 338, 1539, 1670, 5380, 593, 519, 1920, 5608, 3296, 476, 9083, 689, 519, 1433, 513, 29194, 593, 1514, 2042, 4655, 1369, 513, 1920, 849, 11710, 689, 13348, 8944, 269, 476, 30329, 1913, 2110, 1557, 593, 1250, 1920, 1920, 568, 606, 1271, 1770, 540, 2486, 621, 6585, 1390, 2956, 538, 1514, 1272, 621, 568, 519, 16999, 1770, 540, 2486, 269, 744, 9405, 547, 922, 1850, 1275, 267, 1082, 2043, 4497, 538, 4568, 4616, 513, 3395, 1560, 540, 2963, 6920, 602, 4568, 568, 519, 4922, 1031, 3075, 1851, 519, 1585, 563, 7883, 532, 547, 513, 1920, 11018, 950, 972, 781, 796, 637, 9407, 4655, 568, 17173, 1934, 781, 875, 547, 7413, 2566, 689, 796, 637, 9407, 4655, 693, 1920, 19771, 269, 7731, 7526, 972, 616, 513, 2603, 540, 1919, 602, 1223, 2014, 4655, 1851, 513, 1920, 930, 899, 30983, 267, 1102, 23474, 267, 543, 519, 1259, 596, 941, 6659, 30983, 563, 7476, 606, 2626, 585, 1412, 728, 553, 585, 513, 1557, 593, 4655, 527, 666, 581, 593, 4376, 262, 543, 1265, 6780, 948, 585, 824, 1557, 2978, 2055, 693, 679, 4925, 269, 3883, 11988, 18350, 1260, 568, 519, 1747, 1141, 5215, 540, 1053, 4444, 4655, 3594, 476, 2190, 610, 693, 1753, 1063, 519, 1114, 1920, 2818, 4655, 1557, 2712, 2471, 602, 649, 269, 5081, 5505, 3494, 602, 972, 568, 2185, 1114, 2081, 540, 1514, 4655, 519, 1514, 4655, 3069, 15257, 1557, 1820, 519, 1920, 267, 13348, 8944, 269, 3414, 519, 946, 540, 4655, 998, 519, 11673, 540, 519, 7526, 1063, 519, 1185, 2917, 1920, 2688, 1557, 3732, 593, 968, 1492, 1654, 671, 339, 892, 1557, 563, 19284, 1034, 11049, 1299, 6169, 15105, 2533, 267, 649, 12575, 585, 3388, 281, 8239, 267, 10259, 267, 18685, 267, 2856, 2095, 267, 4845, 2497, 267, 1299, 811, 1205, 3323, 1631, 563, 10403, 3594, 593, 1920, 4655, 3069, 1205, 948, 609, 707, 1603, 476, 272, 998, 476, 1789, 269, 5131, 1557, 281, 519, 4655, 1131, 3136, 543, 1419, 1507, 2042, 5828, 883, 3923, 17489, 610, 1372, 1023, 835, 971, 4655, 21256, 827, 9344, 782, 2185, 540, 721, 917, 269, 10435, 16028, 960, 281, 476, 279, 1898, 10569, 547, 20547, 4655, 543, 31811, 707, 1272, 630, 335, 21315, 270, 704, 580, 2465, 476, 1001, 271, 264, 32461, 519, 476, 279, 10569, 547, 20547, 1920, 4655, 563, 25486, 23395, 519, 476, 2420, 526, 5993, 1129, 564, 27825, 2875, 14172, 1557, 16311, 1224, 519, 10888, 1418, 6476, 554, 2459, 1180, 1557, 3594, 689, 3105, 1296, 9732, 609, 1557, 269, 7731, 4655, 910, 851, 476, 273, 910, 25019, 1557, 1383, 25019, 568, 513, 4863, 894, 4640, 602, 814, 4607, 1454, 3007, 269, 717, 342, 1876, 12200, 12326, 1299, 824, 1568, 12200, 14172, 476, 1220, 279, 519, 960, 1922, 13637, 4655, 281, 606, 1557, 593, 12820, 267, 2367, 543, 5539, 544, 19376, 13276, 14741, 269, 31664, 2404, 609, 960, 3562, 1922, 13637, 4655, 281, 513, 2689, 543, 16786, 585, 2104, 1382, 512, 20632, 546, 782, 523, 267, 30602, 552, 561, 1200, 560, 267, 1286, 569, 521, 20015, 1188, 267, 543, 2261, 15925, 521, 583, 2023, 269, 0, 2252, 596, 616, 513, 2875, 543, 723, 7965, 609, 1022, 1603, 10467, 267, 1287, 596, 4076, 2097, 547, 513, 1318, 1747, 519, 2189, 543, 5812, 4081, 1557, 1603, 568, 1018, 269, 1215, 547, 2328, 606, 2500, 1382, 1957, 4063, 1434, 543, 3983, 1603, 6163, 538, 519, 3332, 1265, 856, 519, 4760, 779, 19169, 7355, 543, 3898, 269, 476, 5611, 24798, 1240, 606, 13181, 1957, 610, 1557, 568, 3006, 1572, 606, 16878, 1957, 922, 3483, 568, 547, 2285, 1808, 1344, 827, 513, 1641, 547, 3988, 5830, 949, 563, 2252, 596, 1589, 602, 1603, 540, 513, 1382, 1957, 568, 1152, 827, 11018, 4143, 2326, 543, 5299, 1790, 8463, 1287, 538, 513, 5094, 3561, 267, 596, 616, 19451, 269, 17859, 540, 519, 2470, 540, 707, 1382, 267, 952, 596, 616, 1603, 513, 1957, 606, 7291, 786, 948, 596, 547, 711, 1152, 10891, 707, 4555, 267, 621, 786, 849, 4196, 607, 519, 10959, 269, 19080, 3898, 568, 606, 4081, 2534, 602, 1022, 2875, 8188, 1282, 519, 4974, 1184, 547, 2061, 930, 1603, 7965, 267, 596, 666, 3346, 4487, 335, 3639, 1260, 585, 563, 1911, 24798, 1240, 3621, 1382, 4930, 1683, 513, 1505, 585, 3744, 547, 5968, 609, 824, 3744, 827, 519, 2164, 540, 741, 1382, 513, 3044, 3898, 568, 269, 7956, 1152, 1923, 1394, 7005, 5888, 476, 272, 519, 1697, 3898, 585, 3594, 2630, 616, 4808, 585, 519, 11249, 540, 3594, 1759, 593, 7840, 689, 519, 15986, 630, 1492, 269, 20323, 4843, 547, 26759, 2465, 1957, 1603, 3898, 29519, 476, 3445, 281, 3362, 3898, 707, 2376, 609, 606, 26759, 2465, 2376, 6780, 948, 585, 2852, 8051, 10959, 519, 269, 1284, 2709, 513, 1007, 2186, 540, 2688, 2165, 1957, 1603, 689, 606, 1383, 2165, 1957, 267, 596, 666, 1451, 1082, 1271, 1919, 972, 596, 666, 1294, 513, 3898, 1455, 585, 891, 269, 11352, 10464, 543, 3312, 6881, 1603, 948, 610, 1711, 513, 4633, 799, 786, 4224, 707, 1362, 1376, 543, 9096, 707, 1957, 609, 1945, 602, 786, 3180, 3007, 563, 23921, 2656, 5796, 593, 875, 547, 2328, 513, 8086, 1957, 1934, 779, 513, 8086, 1957, 3898, 547, 4196, 607, 513, 3391, 269, 5530, 321, 599, 568, 606, 4081, 1603, 3028, 585, 1053, 281, 3594, 267, 2165, 4574, 267, 4744, 31277, 543, 1454, 811, 649, 2811, 11967, 543, 6074, 269, 476, 5002, 24798, 1240, 707, 3919, 814, 1279, 1044, 8876, 856, 10694, 798, 519, 8945, 1472, 519, 8378, 547, 3028, 610, 1332, 707, 14273, 267, 596, 3442, 513, 5140, 563, 24699, 31982, 11152, 3486, 3044, 1957, 7306, 1603, 1957, 609, 5386, 12457, 476, 276, 6515, 7470, 3515, 4667, 547, 581, 1360, 2442, 1031, 676, 519, 3044, 1957, 3898, 3126, 269, 14474, 1154, 6163, 1419, 538, 713, 3296, 596, 786, 1265, 4808, 593, 519, 1739, 3898, 621, 568, 1732, 547, 946, 2953, 11249, 689, 519, 3942, 540, 1603, 269, 4208, 513, 3621, 3898, 519, 3621, 3898, 949, 3100, 14845, 585, 519, 4098, 2257, 5856, 1813, 547, 922, 14461, 2497, 799, 568, 865, 563, 1607, 2376, 786, 948, 596, 2328, 513, 1732, 5114, 1957, 1510, 1455, 9073, 782, 1053, 2356, 798, 1224, 2241, 4388, 543, 1376, 3001, 538, 519, 1318, 4287, 269, 15026, 20898, 1957, 585, 1753, 543, 4928, 267, 1863, 689, 2534, 8498, 3442, 689, 1082, 1114, 6163, 543, 6272, 547, 9290, 782, 6502, 267, 543, 1820, 3533, 543, 3362, 269, 14594, 1603, 1957, 630, 325, 7037, 4484, 264, 1641, 1603, 3446, 2157, 476, 272, 588, 267, 476, 273, 26998, 267, 476, 274, 678, 323, 267, 476, 275, 555, 4199, 1826, 25258, 1587, 12773, 476, 2412, 563, 3725, 9146, 1557, 568, 711, 513, 1966, 1022, 811, 938, 2319, 666, 948, 609, 1603, 513, 5114, 1957, 1265, 856, 811, 5114, 1957, 5439, 3330, 713, 2985, 269, 5675, 1382, 1957, 568, 711, 1175, 8806, 513, 28094, 540, 1644, 3332, 602, 1223, 1489, 519, 4661, 596, 616, 3843, 547, 6318, 267, 519, 4681, 596, 616, 3843, 547, 269, 7151, 2165, 1957, 3898, 552, 935, 476, 29121, 562, 4912, 476, 866, 267, 476, 1001, 272, 7493, 519, 1739, 1957, 568, 606, 1383, 540, 519, 3617, 588, 569, 548, 267, 11768, 543, 3898, 585, 606, 2165, 1957, 610, 269, 476, 274, 4057, 1603, 1383, 538, 2626, 547, 519, 5892, 5018, 7084, 267, 24636, 5206, 513, 1957, 19163, 602, 972, 729, 1863, 786, 267, 593, 519, 12406, 602, 24636, 269, 0, 17273, 711, 2139, 290, 20294, 8803, 6950, 616, 513, 1362, 540, 6527, 602, 616, 1644, 547, 9729, 529, 821, 267, 513, 32104, 269, 5709, 725, 540, 29416, 8803, 6950, 15833, 538, 12597, 1362, 1379, 2685, 2569, 642, 20294, 8803, 6950, 269, 1358, 616, 1031, 547, 2569, 519, 6553, 3361, 676, 513, 3099, 540, 3676, 269, 23634, 529, 821, 568, 835, 1826, 540, 29416, 8803, 1355, 269, 1280, 519, 3483, 540, 713, 2689, 267, 834, 322, 677, 529, 821, 257, 568, 1031, 30430, 609, 834, 322, 20294, 8803, 1355, 563, 290, 677, 529, 821, 769, 20287, 585, 918, 26234, 267, 31177, 267, 7982, 1299, 17121, 12186, 454, 2691, 5711, 6527, 798, 711, 14867, 12597, 1928, 267, 855, 596, 2811, 711, 547, 519, 1448, 540, 13197, 12597, 6391, 267, 835, 540, 519, 1739, 24409, 610, 5773, 949, 948, 269, 5754, 531, 584, 4577, 3679, 9360, 2443, 4014, 711, 20248, 6527, 267, 891, 6878, 616, 22280, 883, 12597, 10549, 547, 7110, 6923, 9648, 1728, 531, 584, 4577, 3679, 269, 769, 2635, 10549, 1728, 531, 584, 4577, 3679, 6411, 607, 513, 8710, 4726, 828, 543, 19149, 656, 267, 3850, 10549, 547, 1847, 12347, 936, 1142, 824, 563, 4913, 267, 519, 3679, 5526, 547, 2736, 1524, 538, 1004, 609, 30169, 269, 769, 915, 532, 621, 883, 513, 4745, 949, 24390, 1928, 543, 6553, 269, 634, 24409, 616, 2016, 12353, 585, 1614, 610, 2947, 4374, 267, 4470, 593, 519, 1587, 1806, 616, 14271, 341, 4593, 543, 5754, 531, 1146, 269, 589, 1507, 2179, 540, 4745, 5714, 568, 6569, 1101, 547, 1118, 4055, 585, 519, 1728, 531, 584, 4577, 3679, 563, 290, 20294, 8803, 1355, 769, 915, 687, 2443, 24930, 3006, 7630, 29416, 8803, 6950, 2047, 883, 519, 12597, 4745, 585, 2656, 8323, 540, 1928, 543, 6553, 269, 4256, 2640, 949, 2063, 9170, 689, 513, 1906, 2395, 547, 811, 982, 3670, 3275, 269, 2755, 519, 24409, 3142, 6098, 8323, 547, 519, 4745, 543, 3668, 1082, 540, 519, 2427, 2360, 540, 5711, 29416, 8803, 1355, 6527, 267, 789, 616, 711, 1510, 4220, 563, 3725, 701, 730, 12597, 24409, 949, 2965, 3565, 547, 20162, 15059, 269, 1280, 602, 2601, 707, 4387, 786, 2693, 2322, 513, 3970, 593, 519, 1297, 540, 24409, 596, 666, 4309, 269, 3367, 513, 1867, 689, 519, 3703, 6481, 4750, 593, 29416, 8803, 1355, 24409, 585, 12597, 30169, 269, 1488, 628, 549, 1417, 8412, 2443, 4746, 1572, 4745, 5714, 8321, 566, 267, 818, 628, 549, 1417, 8412, 568, 8851, 540, 4745, 5714, 998, 513, 17860, 13549, 17332, 883, 519, 4745, 2230, 540, 519, 12597, 563, 7212, 519, 3483, 540, 9427, 4745, 5714, 689, 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 ]
[ 610, 4174, 5529, 676, 519, 16586, 267, 519, 2101, 16788, 10514, 539, 883, 6299, 1076, 543, 27390, 5374, 269, 1703, 941, 1869, 6634, 540, 15183, 547, 2312, 269, 590, 11190, 9128, 4080, 602, 476, 272, 267, 20862, 267, 1822, 5656, 1185, 1044, 10032, 267, 3592, 4010, 7466, 607, 1082, 607, 693, 519, 1439, 540, 519, 3689, 2622, 2782, 269, 1703, 729, 849, 513, 4049, 3668, 540, 2679, 2326, 543, 16025, 267, 1454, 540, 519, 2139, 6006, 2348, 1044, 1031, 909, 676, 20466, 4229, 563, 763, 17732, 540, 5755, 729, 865, 3978, 602, 1134, 1354, 519, 5162, 3323, 14849, 751, 5586, 2449, 3459, 21945, 693, 519, 12080, 540, 519, 25181, 689, 840, 2739, 338, 267, 9963, 540, 519, 4539, 269, 2201, 476, 3066, 5239, 513, 5365, 6603, 519, 9255, 2142, 879, 341, 879, 17548, 602, 22748, 523, 1185, 1447, 982, 2185, 2395, 685, 3761, 2451, 269, 634, 5721, 1813, 1185, 711, 2943, 8452, 267, 543, 1256, 950, 621, 1705, 621, 1131, 1491, 1614, 2395, 547, 796, 2903, 621, 269, 1703, 729, 27421, 538, 519, 16899, 602, 8303, 729, 8391, 29341, 2126, 269, 2048, 2171, 616, 1034, 29043, 16224, 519, 25650, 540, 22748, 523, 5206, 547, 519, 10579, 540, 519, 25181, 267, 2048, 1729, 1294, 8303, 609, 26974, 637, 267, 14557, 655, 553, 543, 544, 18863, 549, 4881, 1279, 1310, 2324, 3108, 1247, 22748, 523, 23119, 538, 922, 21219, 1510, 1022, 948, 19028, 3080, 540, 519, 1034, 11495, 3688, 538, 519, 2527, 540, 1239, 3177, 676, 6644, 1135, 3149, 1282, 519, 1974, 1739, 519, 8644, 3130, 729, 602, 922, 3732, 15951, 519, 1476, 4593, 566, 540, 28302, 12434, 607, 519, 1283, 10862, 585, 26110, 547, 10994, 269, 898, 1256, 547, 5529, 519, 3390, 540, 1426, 3761, 563, 15973, 1235, 267, 2324, 593, 519, 23237, 626, 3069, 540, 26453, 582, 720, 1107, 602, 1169, 1305, 3724, 1590, 581, 519, 960, 540, 513, 11359, 6241, 1107, 1185, 1100, 8969, 1141, 519, 13337, 2482, 269, 2048, 763, 13385, 1625, 613, 814, 2451, 519, 9013, 682, 951, 540, 2872, 543, 2229, 13623, 538, 519, 3946, 540, 1004, 945, 32524, 609, 3673, 1143, 1354, 543, 1282, 519, 20431, 566, 10200, 4634, 519, 2229, 267, 1247, 17596, 547, 1832, 4810, 16984, 538, 741, 9708, 267, 729, 27352, 7142, 547, 11760, 602, 17536, 1182, 7283, 269, 634, 14012, 7620, 3743, 585, 16646, 15861, 602, 519, 2229, 5185, 2048, 684, 2625, 331, 11726, 1889, 26955, 997, 520, 9957, 634, 3549, 799, 1185, 5249, 609, 519, 16586, 941, 519, 1655, 9280, 1107, 538, 8804, 267, 812, 12741, 543, 6151, 2326, 1107, 547, 10994, 519, 18447, 4247, 5185, 676, 5333, 269, 3509, 540, 519, 3677, 4070, 3549, 1185, 711, 1256, 11478, 693, 519, 1376, 540, 519, 2112, 282, 1631, 789, 10924, 2048, 2317, 2956, 606, 768, 1446, 9957, 11531, 267, 2048, 6312, 686, 5328, 685, 3549, 799, 1185, 15189, 547, 960, 609, 519, 16586, 941, 1360, 4617, 563, 763, 19797, 9549, 779, 6937, 540, 1065, 5142, 531, 1996, 5698, 626, 4853, 1235, 1185, 13175, 1134, 1354, 519, 8644, 3130, 543, 941, 7368, 538, 700, 685, 14549, 527, 2946, 607, 519, 27469, 14059, 8303, 269, 2048, 763, 19971, 540, 519, 11412, 5435, 15327, 1590, 581, 1500, 547, 2628, 585, 519, 2729, 540, 20466, 7980, 7166, 607, 513, 1267, 540, 741, 15131, 547, 16491, 519, 10546, 10200, 8402, 11412, 5435, 729, 18486, 543, 30992, 593, 476, 2537, 5181, 585, 2348, 4421, 936, 476, 277, 5479, 21473, 14369, 685, 4502, 540, 1570, 547, 519, 4436, 7952, 269, 634, 24239, 5498, 1597, 4458, 6040, 4853, 626, 5747, 513, 3923, 2663, 538, 674, 637, 5886, 7890, 269, 3571, 7385, 10645, 646, 1185, 1044, 23689, 282, 519, 7189, 1767, 621, 729, 513, 8482, 269, 631, 23581, 7137, 331, 2884, 267, 2212, 540, 519, 14903, 9755, 267, 543, 1010, 14930, 941, 29802, 538, 10370, 976, 1510, 4693, 267, 855, 789, 941, 15991, 519, 10782, 25476, 269, 11412, 5435, 267, 13022, 549, 25612, 333, 543, 3212, 4007, 582, 1185, 1063, 873, 14475, 5176, 476, 11152, 267, 1822, 6472, 585, 519, 1284, 327, 3944, 25638, 267, 1247, 7137, 331, 2884, 1185, 3812, 1152, 476, 273, 267, 26839, 269, 634, 4871, 518, 26194, 8432, 974, 654, 768, 338, 729, 1776, 1271, 4137, 547, 581, 18486, 269, 8616, 519, 5318, 5354, 540, 4853, 1235, 945, 1185, 5249, 585, 519, 16586, 267, 1519, 519, 26767, 540, 519, 454, 4467, 3966, 625, 941, 1476, 4593, 730, 543, 3084, 1242, 267, 930, 1317, 789, 1185, 22992, 32524, 267, 1866, 1317, 796, 28300, 762, 5698, 3177, 519, 28195, 547, 3084, 1125, 1883, 6080, 269, 634, 4004, 1235, 267, 2899, 8176, 570, 650, 517, 2968, 10579, 585, 5794, 267, 941, 5462, 547, 723, 513, 4628, 3084, 1242, 8484, 543, 3560, 2872, 563, 20776, 1037, 539, 676, 12316, 20116, 543, 519, 3463, 540, 3084, 1436, 267, 3943, 4853, 1235, 685, 543, 12820, 685, 2516, 267, 1634, 1252, 1227, 607, 682, 19121, 520, 267, 2366, 513, 8357, 663, 636, 547, 632, 717, 4954, 548, 5360, 8724, 827, 519, 5859, 269, 898, 29739, 602, 621, 1185, 2048, 995, 325, 2683, 922, 10279, 547, 519, 4182, 676, 5329, 519, 1797, 540, 2504, 593, 3943, 3037, 1247, 8876, 856, 31707, 4187, 593, 606, 11389, 322, 1758, 1242, 4336, 269, 898, 1590, 13889, 1996, 519, 7242, 602, 5333, 729, 10710, 676, 519, 2324, 1362, 4805, 10200, 1809, 971, 7440, 941, 771, 532, 523, 6681, 269, 8307, 513, 13747, 12102, 540, 9946, 26453, 582, 3042, 519, 960, 543, 519, 24134, 585, 4509, 2504, 22466, 602, 5333, 779, 1279, 3856, 4690, 2482, 609, 513, 11173, 4436, 13567, 2864, 982, 22638, 19802, 563, 1103, 519, 2916, 540, 519, 4090, 267, 609, 519, 1318, 2938, 607, 25432, 22625, 1310, 966, 747, 344, 543, 519, 20431, 566, 267, 972, 729, 513, 2178, 20352, 540, 6644, 538, 12797, 540, 1689, 585, 519, 19160, 540, 1689, 269, 634, 10781, 540, 519, 18650, 543, 519, 9992, 24471, 540, 519, 8644, 3130, 1058, 581, 14593, 4464, 883, 890, 659, 8135, 267, 547, 1711, 513, 811, 12581, 2486, 269, 901, 2797, 15859, 610, 7553, 729, 4330, 607, 3356, 1143, 324, 1107, 513, 2262, 799, 729, 10375, 585, 4004, 1235, 267, 945, 1705, 711, 1616, 547, 15372, 1761, 8284, 13652, 767, 6840, 610, 1318, 26310, 1514, 1235, 945, 21787, 19797, 4566, 267, 855, 1705, 711, 2943, 546, 732, 2161, 865, 16175, 563, 2690, 1346, 2066, 2342, 945, 1185, 4503, 865, 1454, 267, 3356, 1143, 324, 8604, 547, 2709, 519, 1152, 1259, 4464, 267, 6028, 3297, 1312, 519, 5837, 10701, 340, 885, 540, 519, 2112, 543, 519, 3765, 2044, 540, 519, 12870, 538, 519, 476, 4350, 271, 338, 269, 1809, 11122, 2510, 543, 2797, 1863, 6253, 1074, 619, 945, 20402, 971, 10054, 4718, 621, 607, 513, 13472, 2509, 4004, 1143, 269, 25548, 748, 670, 5060, 2917, 267, 13156, 513, 10032, 2342, 689, 519, 2136, 2276, 267, 4397, 513, 623, 1314, 7737, 328, 2045, 320, 547, 3262, 2066, 519, 2898, 11782, 269, 1261, 267, 899, 1082, 267, 21787, 602, 621, 1131, 581, 7543, 2048, 1729, 2322, 9966, 27679, 667, 636, 27679, 1927, 1586, 685, 4849, 538, 513, 2048, 9519, 3405, 880, 569, 2698, 9107, 543, 533, 879, 704, 1242, 1106, 17483, 14197, 632, 717, 4954, 548, 779, 10845, 538, 570, 9567, 1787, 1996, 29962, 853, 1551, 1185, 2731, 1044, 606, 16411, 540, 32659, 1996, 519, 20466, 5718, 269, 3571, 6188, 514, 2329, 543, 22026, 547, 1491, 1055, 775, 1185, 711, 1044, 552, 1078, 609, 519, 17636, 540, 519, 8644, 3130, 269, 634, 3943, 679, 11792, 572, 1185, 28601, 1864, 607, 741, 6205, 267, 2943, 519, 27469, 4797, 547, 8488, 6101, 6284, 540, 519, 1008, 29850, 2229, 269, 2311, 17619, 779, 1202, 14571, 630, 663, 3592, 6157, 593, 519, 5796, 540, 31288, 2274, 320, 1506, 267, 1010, 5449, 5605, 26513, 547, 966, 747, 344, 1070, 713, 8488, 6905, 585, 5176, 1079, 3275, 1310, 519, 8644, 3130, 540, 8303, 269, 634, 1249, 602, 519, 5605, 817, 611, 832, 540, 519, 2048, 19136, 8422, 685, 941, 2907, 538, 1747, 1152, 8886, 730, 632, 717, 4954, 548, 811, 563, 763, 3703, 5605, 26513, 267, 667, 4428, 23101, 267, 7247, 1372, 717, 4954, 548, 2907, 6785, 689, 13641, 4536, 267, 15354, 693, 2274, 25816, 1326, 19633, 538, 513, 21241, 593, 476, 1724, 5181, 267, 2348, 1044, 26603, 9285, 2066, 519, 19305, 676, 1100, 7864, 982, 17288, 32732, 1975, 527, 18394, 269, 589, 7128, 27576, 26603, 677, 25626, 1010, 5179, 322, 1228, 547, 519, 20211, 632, 10222, 558, 15343, 267, 1141, 646, 9788, 513, 530, 805, 327, 593, 519, 18205, 540, 519, 7164, 17199, 269, 1261, 1287, 8678, 519, 4434, 5428, 540, 1010, 5234, 538, 519, 20588, 23392, 269, 634, 3703, 21150, 29983, 267, 6754, 710, 645, 3073, 515, 572, 779, 19289, 538, 9932, 12258, 10696, 6149, 593, 519, 678, 826, 5918, 674, 879, 13118, 326, 12142, 6953, 517, 528, 2946, 267, 729, 3768, 600, 3042, 282, 855, 972, 729, 1100, 1216, 610, 5201, 267, 543, 922, 21200, 11623, 941, 1869, 533, 6150, 609, 519, 11647, 540, 3885, 945, 1185, 19679, 8303, 538, 4873, 476, 3707, 271, 563, 9202, 6640, 267, 667, 4428, 23101, 4682, 547, 1294, 645, 573, 5435, 693, 519, 2372, 2967, 546, 685, 302, 3464, 599, 267, 543, 6592, 741, 5870, 538, 1010, 19701, 281, 2048, 3891, 8604, 8049, 569, 1762, 543, 10169, 7753, 676, 1010, 9021, 267, 16153, 1154, 5128, 602, 646, 6785, 4986, 267, 543, 1185, 1185, 1100, 1995, 269, 2201, 519, 2898, 594, 17329, 1864, 267, 855, 2436, 646, 786, 6961, 513, 2462, 2614, 812, 585, 519, 2816, 594, 993, 20916, 547, 8969, 19028, 2005, 729, 711, 1279, 1354, 667, 4428, 23101, 1336, 5128, 538, 513, 2990, 646, 6785, 1134, 689, 13641, 4536, 281, 1373, 2666, 1063, 519, 1984, 18429, 540, 26235, 543, 632, 717, 4954, 548, 269, 2290, 540, 519, 1101, 6835, 689, 519, 14579, 8433, 19230, 602, 26235, 4941, 547, 2628, 513, 3643, 538, 827, 1614, 4374, 269, 7982, 4682, 519, 16253, 602, 519, 11788, 10579, 1590, 711, 1589, 540, 4947, 2394, 646, 1185, 6444, 632, 717, 4954, 548, 779, 2229, 543, 4607, 513, 1697, 27592, 689, 519, 4937, 5128, 269, 26235, 1869, 4718, 5333, 607, 851, 540, 519, 20466, 2112, 7997, 543, 711, 607, 513, 19988, 2197, 563, 763, 2136, 2276, 2229, 729, 8449, 8671, 1652, 269, 667, 4428, 23101, 729, 5143, 27352, 676, 519, 2372, 2967, 546, 685, 302, 3464, 599, 602, 519, 4892, 1185, 9930, 3990, 606, 5605, 26513, 547, 5333, 1510, 1256, 6998, 585, 519, 1008, 29850, 2229, 779, 6876, 543, 602, 645, 573, 5435, 729, 7184, 1055, 2105, 563, 29128, 17619, 729, 5423, 547, 5431, 1010, 2229, 13166, 267, 632, 717, 4954, 548, 1131, 711, 1294, 2901, 519, 1977, 5605, 26513, 267, 16962, 595, 3530, 2044, 267, 610, 667, 4428, 23101, 267, 1256, 1498, 1010, 1378, 5605, 26513, 538, 5507, 267, 11412, 2946, 7136, 580, 2993, 267, 1185, 1044, 4607, 676, 519, 3751, 543, 1185, 1044, 547, 3251, 538, 519, 2197, 609, 26235, 269, 1546, 717, 4954, 548, 729, 8066, 909, 519, 1184, 540, 6284, 676, 32222, 547, 3858, 547, 513, 10151, 6498, 540, 5333, 1063, 513, 2112, 7997, 267, 799, 3357, 896, 519, 6392, 540, 590, 11190, 9128, 267, 543, 513, 7997, 540, 519, 9703, 563, 30631, 1302, 267, 1310, 513, 2063, 18826, 1166, 25744, 540, 10539, 267, 519, 3803, 7496, 941, 6569, 543, 693, 2947, 522, 685, 22018, 538, 519, 12784, 540, 11728, 267, 476, 2537, 5239, 267, 519, 2136, 2276, 267, 4279, 6628, 267, 6576, 543, 4516, 8195, 6444, 519, 1008, 29850, 2229, 269, 2048, 4263, 2063, 256, 685, 7074, 519, 2212, 540, 519, 14579, 8433, 267, 11184, 12138, 27974, 25830, 267, 608, 28771, 730, 602, 31288, 2274, 320, 1506, 267, 519, 11361, 20277, 5605, 26513, 547, 966, 747, 344, 945, 1185, 865, 6766, 17619, 1996, 632, 717, 4954, 548, 267, 1185, 7307, 547, 3180, 1919, 909, 585, 865, 1279, 269, 2048, 1432, 513, 535, 1380, 827, 4986, 256, 9603, 547, 602, 19220, 995, 2025, 1390, 268, 13550, 2274, 320, 1506, 269, 16593, 646, 779, 4743, 7168, 7210, 256, 20371, 6546, 10543, 267, 667, 4428, 543, 15248, 667, 10005, 23101, 941, 14376, 547, 546, 710, 609, 519, 4937, 269, 634, 3213, 641, 619, 3576, 19468, 29029, 3798, 523, 267, 519, 7385, 540, 519, 14579, 14199, 267, 609, 873, 269, 4033, 14538, 693, 519, 4937, 779, 15335, 538, 519, 4425, 529, 632, 25376, 8421, 928, 3769, 645, 573, 5435, 267, 4937, 4236, 514, 267, 31839, 12251, 24381, 13519, 543, 22050, 517, 6022, 1168, 24989, 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 ]
[ 15662, 505, 320, 10216, 264, 610, 32599, 13659, 630, 23410, 320, 13659, 264, 4564, 513, 2245, 540, 18420, 10847, 532, 32251, 607, 519, 18678, 1373, 269, 19171, 569, 1644, 547, 1744, 752, 339, 1143, 267, 32599, 10216, 3332, 2882, 513, 2039, 540, 30920, 267, 1519, 570, 656, 6652, 267, 1247, 519, 3597, 540, 713, 2245, 949, 581, 14360, 1394, 547, 519, 3504, 28174, 553, 563, 300, 1695, 27011, 630, 332, 1994, 7936, 540, 13221, 264, 13126, 281, 24243, 12975, 281, 589, 5530, 543, 22564, 540, 519, 717, 12298, 15676, 10722, 329, 777, 541, 760, 9719, 505, 322, 577, 5953, 454, 384, 478, 331, 11535, 630, 2633, 484, 2633, 366, 2633, 363, 264, 4016, 547, 968, 321, 12118, 5608, 2687, 547, 519, 717, 12298, 15676, 10722, 329, 777, 541, 760, 9719, 505, 322, 577, 5953, 281, 519, 21632, 3184, 540, 519, 10067, 5953, 21542, 30195, 30876, 5953, 3279, 630, 320, 4015, 540, 10067, 5953, 344, 5953, 3534, 14418, 590, 19476, 339, 6652, 1040, 1765, 6097, 569, 267, 968, 1692, 1287, 267, 5067, 540, 1434, 1920, 267, 1281, 519, 26636, 20130, 3430, 9366, 9305, 547, 519, 13057, 6240, 540, 519, 7706, 540, 519, 546, 327, 12609, 267, 1373, 8087, 609, 519, 7706, 540, 519, 546, 327, 12609, 286, 2048, 763, 7706, 540, 519, 546, 327, 12609, 685, 568, 519, 7706, 602, 568, 1863, 689, 7287, 2094, 621, 568, 1863, 689, 1022, 791, 12053, 282, 30385, 316, 519, 7706, 540, 1582, 2094, 621, 568, 8385, 6986, 282, 519, 7706, 1510, 7209, 2094, 621, 568, 519, 5207, 5168, 282, 519, 7706, 1510, 1344, 2094, 621, 568, 1875, 268, 629, 4575, 282, 519, 7706, 1510, 4493, 630, 5953, 331, 11535, 264, 2094, 972, 568, 1100, 12526, 282, 519, 7706, 1510, 4332, 2094, 621, 568, 6378, 282, 30385, 316, 9731, 300, 1695, 27011, 630, 28440, 2633, 373, 14098, 363, 14098, 357, 267, 30652, 5953, 344, 5953, 3534, 264, 568, 513, 2101, 7936, 540, 13221, 2519, 593, 519, 2619, 540, 513, 26636, 20130, 3430, 9366, 630, 338, 2869, 3770, 8321, 1218, 270, 24084, 2989, 7919, 1040, 6987, 656, 3332, 568, 5318, 543, 2215, 732, 569, 7768, 538, 519, 16130, 1893, 269, 1703, 616, 1082, 521, 19476, 339, 6652, 540, 799, 930, 540, 519, 9998, 616, 519, 1585, 16217, 329, 10722, 5953, 335, 5953, 1090, 527, 5953, 521, 19476, 339, 6652, 563, 14197, 4214, 630, 514, 13221, 264, 13126, 281, 14418, 1684, 528, 281, 3794, 27443, 454, 2704, 11535, 23102, 2304, 28008, 540, 1325, 11535, 642, 6359, 534, 3570, 269, 1325, 11535, 568, 513, 4990, 540, 18163, 6219, 610, 2339, 267, 3860, 543, 5627, 782, 3029, 282, 950, 2808, 607, 513, 2898, 267, 621, 568, 1875, 2291, 550, 267, 610, 3568, 4986, 282, 950, 2808, 5039, 531, 267, 621, 25361, 519, 7122, 269, 898, 4667, 547, 581, 540, 519, 2470, 540, 1570, 1143, 269, 898, 568, 519, 4558, 610, 9103, 1275, 540, 9637, 1312, 6207, 543, 3448, 269, 898, 568, 4330, 607, 519, 4909, 2247, 9637, 540, 6857, 7919, 267, 799, 23933, 3180, 540, 782, 519, 1995, 540, 519, 1367, 1272, 267, 543, 799, 8637, 543, 6585, 519, 17900, 540, 782, 12602, 269, 898, 568, 519, 2063, 540, 661, 12915, 3117, 4109, 1145, 689, 799, 519, 27067, 540, 4279, 18471, 19257, 2928, 568, 6508, 2529, 1830, 281, 26264, 303, 4215, 281, 13221, 454, 384, 478, 331, 11535, 630, 2633, 484, 2633, 366, 2633, 363, 264, 630, 290, 325, 269, 17487, 478, 26792, 822, 6359, 10722, 5953, 3534, 264, 4016, 547, 968, 7474, 799, 568, 804, 2426, 547, 5608, 968, 611, 22363, 547, 892, 610, 968, 323, 6202, 539, 538, 5608, 543, 568, 5702, 4448, 609, 15629, 6228, 269, 932, 9609, 600, 2558, 2426, 11985, 6941, 602, 16889, 538, 519, 2470, 540, 17487, 478, 331, 11535, 1797, 1765, 4707, 3564, 519, 3670, 2631, 9637, 267, 543, 1256, 3564, 519, 18749, 9637, 267, 519, 4909, 1167, 27641, 2219, 1184, 799, 6770, 827, 519, 824, 3670, 269, 17487, 478, 331, 11535, 9637, 814, 607, 922, 4162, 540, 1373, 1312, 2014, 543, 1198, 282, 607, 2014, 621, 829, 8460, 543, 607, 4829, 621, 568, 4535, 267, 621, 2760, 3788, 513, 2582, 11769, 563, 19328, 1686, 543, 11585, 13126, 281, 595, 860, 928, 7913, 16130, 667, 17152, 281, 4095, 9210, 15572, 673, 3794, 27443, 454, 384, 478, 331, 11535, 23102, 22396, 269, 476, 5953, 331, 2967, 630, 306, 2862, 476, 274, 1070, 513, 11454, 282, 513, 19432, 540, 1821, 268, 5953, 331, 11535, 269, 595, 325, 269, 476, 5953, 344, 520, 3570, 267, 536, 6409, 3570, 267, 533, 3120, 267, 3092, 269, 8074, 281, 476, 5953, 331, 11535, 568, 3989, 538, 519, 968, 24465, 3134, 15572, 673, 29395, 892, 607, 621, 666, 581, 1336, 593, 3504, 1202, 18587, 4122, 2854, 538, 16130, 267, 16217, 330, 761, 610, 667, 9545, 22941, 4654, 563, 763, 1686, 540, 3127, 15244, 519, 8446, 540, 2477, 267, 14252, 267, 10034, 543, 824, 4525, 540, 3127, 267, 607, 1134, 607, 13299, 267, 18186, 1108, 267, 10424, 30552, 770, 625, 267, 17710, 267, 11031, 267, 2199, 7908, 8481, 543, 5389, 543, 6237, 4654, 269, 9147, 3127, 10150, 3909, 5191, 543, 7512, 519, 2619, 540, 20144, 12609, 267, 513, 1523, 1455, 547, 13221, 267, 18420, 267, 543, 27454, 1143, 563, 299, 16722, 540, 3127, 543, 13383, 454, 303, 8932, 30165, 8675, 13126, 281, 17700, 306, 553, 3570, 281, 19270, 1047, 6022, 328, 30165, 9218, 454, 384, 478, 331, 11535, 630, 332, 4700, 476, 272, 269, 705, 1712, 282, 887, 24031, 1747, 282, 476, 273, 269, 7287, 282, 13613, 282, 476, 274, 269, 5910, 775, 2529, 1830, 281, 27659, 3279, 281, 634, 6022, 328, 7956, 5980, 781, 6022, 328, 30165, 9218, 454, 384, 478, 331, 11535, 267, 630, 332, 269, 1299, 562, 339, 4700, 630, 31983, 269, 4787, 269, 476, 5953, 331, 11535, 267, 476, 5953, 1341, 561, 13682, 267, 561, 13682, 344, 622, 267, 524, 335, 269, 782, 13682, 3534, 1299, 782, 13682, 344, 10620, 267, 849, 562, 597, 5953, 331, 11535, 264, 2443, 476, 272, 269, 1976, 269, 887, 24031, 1747, 267, 829, 577, 267, 1775, 269, 552, 269, 705, 1712, 23928, 1747, 267, 2777, 808, 15660, 267, 476, 1015, 630, 613, 327, 4113, 5148, 6660, 333, 269, 22659, 282, 20144, 288, 269, 2862, 267, 476, 14341, 630, 534, 4113, 815, 606, 24499, 1070, 476, 10204, 32372, 522, 6390, 1040, 2443, 476, 273, 269, 968, 327, 4474, 593, 5608, 13613, 267, 7287, 267, 804, 15781, 267, 561, 755, 590, 15660, 267, 476, 15793, 815, 15550, 15660, 267, 476, 275, 630, 4113, 337, 5953, 2742, 968, 22563, 6838, 547, 519, 1919, 547, 799, 621, 804, 902, 892, 918, 269, 590, 4700, 282, 15550, 269, 7656, 267, 476, 736, 267, 476, 9340, 282, 590, 269, 4353, 267, 476, 4391, 273, 630, 534, 4113, 5148, 966, 267, 476, 275, 2641, 13483, 269, 630, 573, 4700, 282, 589, 269, 2862, 267, 476, 4097, 267, 476, 14530, 630, 4113, 337, 5953, 2742, 5148, 8633, 267, 476, 3374, 282, 898, 269, 6434, 282, 10965, 269, 10082, 630, 330, 5953, 332, 4113, 815, 737, 5953, 6996, 340, 28580, 22170, 327, 5953, 26817, 30909, 30909, 6062, 8686, 553, 6511, 5918, 341, 573, 14833, 476, 5953, 26792, 334, 10965, 288, 476, 21327, 1070, 476, 276, 3374, 22791, 476, 5953, 338, 822, 5953, 14269, 1070, 476, 277, 3374, 282, 4880, 339, 476, 13199, 267, 476, 11277, 630, 4113, 338, 600, 1872, 724, 5953, 3279, 5148, 966, 1143, 269, 27840, 630, 573, 13776, 476, 5392, 278, 282, 6660, 333, 269, 10711, 630, 289, 3291, 327, 11019, 30195, 513, 330, 5953, 19561, 286, 5148, 20144, 288, 15660, 267, 476, 13199, 282, 10001, 267, 476, 5908, 32372, 28580, 22170, 327, 5953, 5148, 10965, 288, 476, 5379, 279, 32372, 606, 24499, 540, 10965, 269, 3607, 277, 1040, 2443, 476, 274, 269, 5910, 775, 267, 840, 3667, 267, 905, 842, 630, 31983, 269, 645, 20597, 269, 476, 5953, 331, 11535, 631, 966, 770, 340, 8633, 267, 476, 27183, 264, 808, 15660, 267, 476, 14991, 630, 326, 559, 31488, 4113, 1070, 476, 275, 4343, 282, 8633, 267, 476, 276, 3451, 630, 3901, 4113, 5148, 10001, 267, 476, 4391, 630, 326, 13741, 327, 514, 13682, 5148, 17886, 476, 736, 267, 476, 26783, 630, 326, 559, 31488, 4113, 1040, 630, 17273, 476, 11820, 994, 303, 8932, 568, 519, 1893, 540, 519, 17785, 328, 30909, 10440, 267, 799, 568, 519, 10723, 17374, 540, 634, 9545, 5953, 6767, 13221, 543, 3568, 1454, 540, 519, 17700, 779, 4633, 269, 19171, 2917, 1644, 547, 16130, 267, 1312, 4654, 616, 1031, 30430, 1063, 10764, 563, 11321, 27821, 30165, 8675, 13126, 281, 30250, 6347, 281, 634, 631, 3421, 10290, 3057, 27821, 543, 2296, 9218, 454, 5953, 331, 11535, 630, 2633, 484, 2633, 366, 2633, 363, 1040, 1765, 333, 590, 589, 2777, 267, 513, 23029, 267, 513, 7789, 12386, 267, 513, 1747, 540, 8391, 543, 5627, 2529, 1830, 281, 30250, 6347, 281, 634, 589, 787, 629, 327, 639, 534, 1153, 8675, 267, 3057, 27821, 30165, 454, 5953, 331, 11535, 630, 2633, 484, 2633, 366, 2633, 363, 1040, 1765, 333, 589, 2777, 563, 11321, 27821, 568, 606, 21475, 26049, 1893, 2348, 936, 476, 3583, 2929, 5065, 10529, 1004, 538, 630, 335, 1042, 11395, 569, 264, 26527, 30773, 3127, 269, 3057, 27821, 267, 899, 1082, 824, 21475, 5025, 32569, 4654, 267, 7960, 689, 2038, 3029, 540, 16217, 330, 761, 267, 799, 3294, 568, 513, 15410, 540, 16130, 267, 835, 540, 519, 1034, 3504, 4654, 540, 519, 1158, 563, 306, 14234, 8675, 13126, 281, 30250, 6347, 281, 634, 4052, 16130, 30165, 8675, 454, 2704, 11535, 630, 2633, 483, 2633, 366, 2633, 363, 1040, 1765, 320, 269, 1496, 333, 5953, 560, 328, 2482, 320, 30910, 1285, 553, 628, 5953, 3534, 30195, 586, 553, 5984, 2639, 272, 264, 17921, 1088, 612, 267, 13112, 7949, 267, 3001, 827, 282, 15662, 504, 328, 23410, 1575, 5953, 15442, 611, 3873, 476, 275, 269, 6872, 563, 273, 264, 9453, 9552, 610, 2530, 267, 6650, 27720, 563, 3917, 320, 30910, 476, 272, 6348, 1673, 652, 2315, 267, 7165, 775, 563, 273, 264, 17510, 267, 2504, 563, 19203, 10758, 4534, 8894, 384, 478, 331, 11535, 630, 2633, 484, 2633, 366, 2633, 363, 1040, 1765, 314, 5953, 331, 13682, 344, 622, 781, 2381, 267, 476, 5953, 331, 13682, 14092, 2639, 272, 264, 1323, 705, 1712, 267, 513, 2777, 267, 513, 23029, 282, 7162, 484, 2633, 366, 2633, 363, 23517, 7162, 355, 17775, 2633, 369, 2633, 370, 23371, 31073, 5936, 480, 2633, 352, 14098, 480, 29334, 27758, 2633, 502, 26498, 18892, 23517, 7162, 500, 14098, 352, 11695, 350, 2633, 369, 23517, 7162, 369, 23547, 28440, 11165, 630, 5953, 331, 11535, 30195, 1821, 320, 23410, 520, 337, 19476, 22170, 5953, 30195, 647, 724, 7702, 30195, 737, 327, 5953, 22170, 21681, 491, 6072, 30195, 8709, 600, 264, 10067, 5953, 321, 327, 5953, 337, 1092, 630, 289, 4861, 599, 264, 476, 272, 269, 23417, 269, 4037, 282, 7162, 357, 32172, 16284, 7162, 355, 27758, 2633, 371, 11695, 509, 14098, 353, 11695, 362, 23547, 14098, 362, 14098, 364, 11695, 363, 11111, 7162, 357, 18028, 369, 28637, 23547, 11695, 353, 11695, 363, 14098, 366, 2633, 363, 17775, 7162, 504, 18028, 364, 28440, 11165, 630, 3534, 28624, 5918, 23973, 30909, 5953, 339, 2006, 5953, 332, 5953, 787, 5953, 562, 643, 9586, 344, 5953, 26792, 324, 524, 328, 1090, 264, 681, 5953, 332, 5919, 29334, 18892, 11695, 369, 14098, 508, 11695, 506, 23547, 28637, 11695, 354, 14098, 357, 24691, 5936, 481, 23371, 14098, 366, 2633, 363, 14098, 357, 11165, 630, 338, 541, 341, 5953, 10722, 329, 11446, 628, 31488, 752, 9719, 505, 339, 5953, 26792, 31488, 264, 681, 5953, 332, 269, 945, 5030, 610, 546, 342, 3881, 538, 3967, 553, 628, 5953, 3534, 563, 273, 264, 589, 8498, 282, 7162, 362, 23547, 11695, 355, 18892, 28637, 11695, 363, 7162, 504, 7162, 363, 17775, 21999, 26498, 2633, 509, 18028, 480, 29334, 23517, 2633, 370, 31073, 18028, 353, 14098, 481, 21999, 17775, 2633, 504, 18028, 355, 14098, 366, 2633, 363, 14098, 481, 630, 332, 663, 31730, 5984, 1309, 9493, 32748, 30909, 328, 30195, 1094, 30195, 23410, 761, 5953, 30910, 1183, 322, 573, 5953, 26792, 5953, 30910, 264, 681, 5953, 332, 269, 275, 269, 275, 269, 1839, 563, 274, 264, 589, 7789, 12386, 267, 10160, 267, 1747, 282, 32172, 18028, 362, 14098, 366, 2633, 363, 26498, 7162, 357, 14098, 362, 7162, 357, 2633, 501, 14098, 356, 18028, 364, 14098, 506, 2633, 481, 630, 29538, 5953, 26792, 334, 562, 5953, 2742, 562, 698, 5953, 323, 327, 597 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1533, 3125, 269, 27933, 560, 891, 23786, 14759, 267, 2984, 540, 2648, 543, 1279, 532, 7153, 1851, 2818, 540, 2027, 4229, 945, 1185, 1044, 25461, 609, 30191, 30566, 545, 6617, 1282, 8168, 2053, 269, 1452, 8941, 1683, 721, 609, 2189, 4030, 883, 519, 2729, 540, 1346, 945, 6039, 896, 519, 7333, 1676, 540, 18293, 781, 2531, 514, 542, 543, 875, 789, 4044, 730, 2123, 3347, 1996, 519, 20457, 540, 13346, 14336, 10662, 543, 3084, 9163, 780, 3891, 28282, 344, 543, 853, 1464, 281, 4197, 519, 8466, 12745, 692, 2414, 10146, 519, 1950, 2113, 24586, 1369, 799, 2113, 10560, 1242, 32741, 11200, 539, 267, 621, 568, 1898, 547, 9787, 519, 1523, 540, 30566, 545, 6617, 3069, 630, 295, 4306, 1040, 7880, 3215, 689, 3486, 1894, 11407, 267, 670, 4306, 29102, 602, 513, 2582, 8789, 1379, 666, 3715, 1931, 543, 2226, 4708, 998, 28170, 633, 1797, 952, 2556, 630, 298, 26295, 31000, 267, 476, 3192, 274, 282, 16500, 11017, 267, 476, 2735, 272, 1040, 4438, 519, 8168, 5736, 267, 18293, 27361, 971, 30566, 344, 936, 922, 9682, 2829, 267, 1519, 1346, 538, 519, 3162, 24272, 30510, 1107, 2413, 6377, 18433, 807, 267, 29494, 13568, 267, 543, 11908, 269, 1635, 1139, 7675, 3021, 520, 626, 5322, 543, 15658, 2590, 4914, 7459, 267, 519, 4414, 8136, 24458, 3448, 22471, 1006, 538, 519, 3148, 1107, 1419, 5219, 547, 607, 1412, 515, 28282, 545, 6617, 9538, 692, 27094, 19992, 2037, 5519, 20514, 281, 19484, 9608, 17716, 10738, 2983, 19205, 5695, 23391, 692, 20751, 713, 19979, 2796, 267, 11509, 561, 807, 11143, 4646, 1851, 7980, 11540, 2484, 2476, 689, 1753, 13279, 269, 1280, 3236, 267, 930, 10492, 6728, 539, 538, 519, 3162, 24272, 30510, 8593, 538, 2648, 609, 2199, 2021, 5103, 10409, 7496, 543, 2686, 3604, 269, 6270, 3444, 31215, 18787, 4749, 5185, 2591, 1813, 547, 20849, 10121, 2906, 543, 20748, 13103, 269, 16480, 267, 891, 15185, 1336, 2081, 547, 7753, 9465, 543, 1628, 9434, 7554, 267, 5356, 4241, 6386, 602, 22113, 1480, 6043, 8015, 14488, 780, 293, 2109, 5675, 27837, 676, 7464, 15638, 281, 3955, 31147, 16520, 11724, 725, 540, 631, 4106, 541, 1242, 23620, 692, 6624, 4207, 5830, 723, 6537, 6667, 689, 3020, 6589, 540, 4108, 15832, 1305, 1996, 2022, 4149, 990, 2884, 8916, 269, 26358, 899, 834, 288, 17828, 13458, 257, 676, 12756, 4223, 3930, 543, 834, 27001, 5565, 674, 2231, 257, 676, 32157, 918, 9926, 21754, 6813, 13730, 12602, 1063, 21977, 1425, 545, 18779, 543, 14470, 610, 16231, 4775, 21127, 6606, 269, 3414, 12667, 9423, 267, 891, 1568, 2263, 4798, 540, 14017, 267, 20729, 531, 267, 15093, 267, 543, 25863, 4810, 676, 2043, 1303, 22931, 538, 6626, 3140, 3157, 780, 3412, 4124, 585, 12634, 4139, 9534, 281, 16497, 3231, 2740, 689, 5403, 4149, 990, 2884, 23800, 692, 6597, 3539, 2113, 10560, 1242, 32741, 538, 2022, 4149, 990, 2884, 20195, 14901, 3091, 3407, 4245, 585, 4207, 3486, 1894, 269, 898, 19156, 519, 2956, 540, 1620, 2199, 5380, 950, 7421, 2518, 6214, 543, 8711, 519, 1761, 585, 2123, 3347, 547, 16637, 10923, 6302, 543, 2797, 17337, 269, 5015, 267, 6313, 2250, 2833, 2337, 18783, 2104, 7835, 267, 3226, 3823, 5571, 13253, 1063, 6576, 543, 922, 15231, 2829, 780, 6962, 1384, 1607, 1576, 1770, 1642, 1386, 2620, 883, 519, 1158, 540, 2113, 10560, 1242, 15832, 538, 519, 2796, 540, 2022, 4149, 990, 2884, 20195, 14901, 269, 1635, 3695, 30566, 545, 6617, 3069, 543, 922, 6286, 267, 649, 6591, 5813, 883, 519, 6946, 6384, 5935, 1367, 2729, 1369, 3677, 23786, 10850, 269, 12056, 609, 5339, 11269, 4847, 721, 547, 5660, 519, 3929, 10848, 7915, 538, 971, 3871, 1247, 5373, 4143, 8753, 585, 2221, 781, 5051, 10562, 2943, 4655, 783, 2518, 26750, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 15862, 2707, 281, 737, 8145, 4802, 269, 745, 454, 1103, 2038, 13524, 2540, 267, 1739, 519, 10617, 609, 14655, 543, 16368, 23693, 267, 6576, 6192, 519, 12289, 540, 519, 3162, 24272, 30510, 269, 634, 3148, 602, 14747, 1459, 1554, 18433, 807, 267, 29494, 13568, 543, 11908, 7283, 896, 519, 1852, 540, 18293, 2394, 519, 12900, 540, 519, 8168, 5742, 538, 476, 1960, 272, 267, 1498, 519, 1614, 2477, 941, 4830, 585, 513, 5618, 1974, 1310, 519, 2622, 2782, 594, 269, 4675, 7675, 519, 7115, 5322, 538, 891, 2477, 2059, 609, 519, 824, 2694, 540, 6739, 7276, 543, 2663, 519, 8168, 5742, 538, 8109, 2342, 543, 6239, 5607, 267, 18293, 849, 19500, 607, 3354, 8502, 538, 519, 3148, 269, 769, 713, 1909, 267, 6576, 1016, 706, 539, 7526, 1063, 519, 5396, 540, 519, 10504, 543, 849, 1293, 1229, 519, 6304, 540, 5007, 7060, 883, 968, 1080, 892, 11182, 269, 901, 2813, 513, 6617, 538, 519, 3162, 24272, 30510, 267, 607, 538, 824, 2694, 540, 519, 10504, 267, 29805, 676, 519, 6436, 540, 3486, 1894, 607, 968, 515, 28282, 545, 6617, 9731, 1103, 2038, 476, 1960, 271, 338, 267, 519, 8168, 5742, 25540, 543, 267, 13604, 267, 1034, 540, 519, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 23620, 1315, 13639, 1315, 7981, 17086, 7931, 1734, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 713, 3184, 267, 649, 5490, 883, 519, 24567, 2361, 540, 4317, 10456, 22878, 267, 513, 3532, 1907, 602, 10244, 525, 519, 2375, 633, 1379, 540, 3308, 11052, 547, 8774, 1769, 593, 10296, 6848, 2152, 267, 12954, 5188, 267, 543, 10776, 2763, 1689, 269, 901, 1106, 540, 8666, 329, 16067, 1143, 4422, 3564, 6071, 12319, 282, 621, 11394, 547, 1480, 1125, 1950, 2042, 267, 18427, 6568, 267, 543, 20834, 1125, 13588, 2509, 14223, 543, 17933, 269, 1284, 2263, 2185, 32330, 4798, 1369, 4317, 10456, 22878, 267, 12077, 11370, 523, 966, 643, 597, 630, 16908, 538, 24442, 1070, 3776, 21744, 8693, 267, 12017, 518, 585, 7827, 630, 15933, 590, 30371, 14879, 1070, 543, 6052, 10456, 585, 2353, 269, 1306, 649, 6330, 891, 3584, 267, 649, 5000, 596, 547, 2992, 2390, 707, 1909, 607, 513, 23031, 267, 1650, 339, 11839, 267, 543, 8665, 540, 7004, 780, 296, 269, 645, 308, 2894, 966, 4353, 7644, 630, 299, 9281, 292, 5442, 670, 2752, 300, 2177, 312, 2567, 4888, 9338, 9898, 2793, 20937, 24315, 4696, 5456, 300, 11123, 667, 14110, 5085, 8008, 16774, 6730, 654, 21822, 23813, 5058, 454, 288, 269, 10417, 783, 1944, 11370, 523, 966, 643, 597, 454, 31807, 523, 966, 643, 597, 267, 12082, 538, 6805, 1656, 6756, 24866, 267, 29102, 602, 8171, 568, 6913, 998, 18900, 30398, 1063, 3425, 543, 2470, 269, 898, 2591, 6671, 1646, 3631, 2392, 5344, 593, 19957, 2208, 267, 4199, 10868, 267, 543, 14226, 269, 5502, 267, 621, 23594, 2713, 538, 3666, 609, 938, 10450, 1247, 18245, 2686, 4763, 543, 2146, 2418, 563, 289, 269, 10439, 15881, 2510, 540, 11370, 523, 966, 643, 597, 454, 21900, 20802, 25643, 11370, 523, 966, 643, 597, 7001, 2984, 540, 6043, 267, 6940, 267, 543, 25262, 640, 7915, 538, 2950, 20678, 585, 12581, 8739, 268, 1815, 1670, 3347, 269, 16103, 949, 6813, 7104, 3375, 6194, 3157, 267, 2199, 1702, 1949, 267, 543, 16873, 26621, 3047, 781, 10723, 1145, 269, 1452, 3308, 6386, 4161, 8789, 27964, 1472, 3356, 543, 13884, 267, 18136, 13588, 547, 556, 29264, 741, 2078, 609, 519, 1604, 543, 2486, 780, 2862, 269, 744, 7838, 8863, 20315, 5058, 14160, 8379, 12442, 281, 5990, 674, 19781, 5508, 661, 4596, 299, 8104, 13965, 5442, 297, 4785, 2316, 4753, 454, 288, 269, 8693, 19822, 543, 21153, 640, 454, 763, 2916, 6433, 25409, 5540, 12790, 5095, 945, 3565, 2547, 547, 8511, 3154, 5434, 269, 7087, 9082, 267, 2021, 267, 1453, 267, 543, 1970, 13867, 2950, 7703, 519, 20015, 660, 540, 3665, 4365, 2621, 267, 4262, 7400, 4473, 267, 543, 9390, 2305, 563, 289, 269, 570, 2454, 12267, 540, 18650, 543, 29675, 454, 20458, 1689, 21706, 3142, 3007, 547, 4395, 1467, 9718, 619, 7722, 538, 4187, 1996, 8093, 4492, 6080, 543, 9542, 3646, 269, 1358, 13686, 5499, 3435, 25282, 676, 2199, 2950, 267, 971, 607, 29436, 1150, 2722, 2853, 267, 7791, 1648, 7341, 267, 543, 22600, 17311, 11808, 3785, 269, 3414, 11495, 11052, 267, 789, 16616, 519, 28622, 540, 15746, 5185, 676, 7925, 2516, 543, 24244, 9739, 14053, 2916, 5126, 780, 7656, 269, 670, 7419, 294, 2207, 11123, 8863, 3198, 12283, 630, 23859, 7495, 590, 10976, 16730, 5456, 18199, 312, 2567, 23414, 6369, 8379, 5058, 28132, 4629, 299, 744, 23615, 29332, 7495, 20219, 23727, 306, 454, 288, 269, 5253, 7010, 543, 5295, 18868, 454, 17471, 1426, 1949, 616, 6353, 676, 6528, 3386, 3892, 267, 12526, 267, 543, 3653, 269, 3690, 20139, 14078, 30049, 1125, 6694, 11378, 267, 6990, 267, 543, 4123, 4507, 267, 31328, 6710, 543, 22926, 1851, 6917, 12696, 543, 6800, 7567, 563, 289, 269, 10439, 31197, 585, 5253, 590, 30371, 14879, 454, 21900, 20802, 2502, 609, 1426, 11704, 580, 1399, 5322, 5031, 4244, 1426, 1949, 1759, 593, 29436, 1815, 1108, 267, 6079, 9494, 267, 543, 4023, 4123, 269, 1635, 13830, 2592, 540, 7524, 2146, 10651, 267, 14297, 6705, 262, 6990, 267, 543, 23518, 29065, 3906, 267, 789, 20838, 519, 1761, 585, 13710, 1689, 950, 1004, 22919, 1852, 936, 741, 1426, 2504, 543, 4616, 780, 4353, 269, 13673, 2207, 294, 312, 808, 4785, 2316, 4753, 11123, 20231, 281, 31266, 2207, 15562, 9281, 307, 570, 8582, 2752, 9169, 681, 2894, 11246, 21764, 674, 7473, 7838, 2464, 454, 288, 269, 772, 928, 23974, 7457, 543, 645, 6324, 523, 540, 6052, 13870, 454, 16966, 547, 2413, 1648, 2533, 3788, 21792, 585, 17542, 5001, 267, 3226, 1346, 538, 6552, 2127, 543, 3384, 2477, 269, 11531, 267, 1648, 25673, 11615, 5007, 1125, 1072, 5222, 543, 5533, 5196, 15231, 2950, 267, 1419, 7768, 540, 7292, 18441, 543, 1970, 13867, 10820, 563, 289, 269, 3493, 1112, 532, 11202, 1811, 27870, 4982, 3386, 6052, 3690, 1431, 454, 24058, 1650, 339, 25527, 2324, 593, 1648, 5126, 1445, 593, 18228, 7791, 1648, 3785, 267, 11180, 10350, 3889, 267, 543, 4390, 2679, 3646, 3366, 676, 12936, 2950, 269, 4256, 960, 8761, 875, 29355, 4485, 666, 6536, 4264, 24454, 267, 2569, 3327, 29066, 267, 543, 2327, 1100, 835, 568, 2451, 3297, 1282, 13289, 547, 15777, 1648, 2959, 780, 1103, 3932, 267, 4317, 10456, 22878, 5713, 607, 1312, 11604, 543, 19251, 7469, 821, 267, 27283, 11528, 16526, 543, 3246, 5867, 585, 3623, 10642, 9739, 269, 1306, 3743, 3239, 24237, 267, 649, 1590, 25500, 5402, 267, 14344, 938, 17979, 543, 1761, 635, 13109, 538, 10063, 1424, 5739, 11475, 269, 1635, 8508, 5683, 4808, 267, 14237, 21548, 267, 543, 5807, 5698, 267, 649, 666, 29937, 938, 12514, 607, 7405, 540, 5168, 267, 8296, 267, 543, 19802, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16920, 1549, 21706, 256, 634, 11879, 6176, 11814, 633, 630, 290, 2975, 264, 814, 1175, 9307, 621, 779, 1101, 5993, 2825, 543, 1514, 5126, 10344, 16311, 786, 581, 16561, 1303, 2231, 2394, 476, 2764, 5988, 476, 1001, 276, 269, 634, 6688, 1331, 281, 11370, 523, 966, 643, 597, 630, 5158, 538, 10103, 1070, 3776, 21744, 8693, 267, 12017, 787, 585, 7827, 630, 25988, 16285, 264, 543, 6052, 10456, 585, 2353, 269, 634, 6735, 12134, 585, 513, 1507, 7127, 21856, 267, 799, 786, 581, 4294, 547, 595, 2975, 779, 2596, 5665, 3790, 2429, 519, 1032, 563, 21900, 2762, 568, 835, 540, 519, 1034, 2500, 2081, 547, 6318, 4656, 827, 1514, 543, 8733, 21440, 538, 519, 1158, 907, 5016, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12892, 10456, 22878, 257, 607, 851, 540, 834, 15771, 5588, 24209, 1315, 17421, 612, 904, 1299, 11657, 2456, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14139, 9836, 2079, 16135, 538, 11382, 690, 2065, 7744, 267, 596, 2811, 1134, 9280, 547, 10994, 3309, 2591, 3927, 267, 7393, 2949, 7214, 22231, 780, 1103, 5758, 267, 13215, 11382, 690, 3359, 28382, 721, 609, 3407, 2645, 2556, 585, 10188, 1950, 2790, 4247, 5473, 2565, 3206, 543, 9266, 7744, 269, 6787, 21264, 532, 6946, 13410, 610, 10442, 10427, 7440, 267, 28798, 707, 5759, 538, 891, 2127, 3648, 8309, 547, 2123, 2208, 543, 3318, 1967, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8702, 547, 606, 2502, 2247, 1532, 2056, 4161, 267, 1141, 707, 18854, 543, 8343, 1983, 786, 581, 2322, 547, 519, 1449, 269, 901, 2376, 12857, 596, 547, 513, 2189, 10658, 14794, 281, 476, 274, 20212, 538, 519, 17781, 538, 476, 736, 7643, 1107, 513, 9159, 20128, 519, 16338, 10794, 602, 781, 2386, 547, 533, 1664, 707, 7279, 543, 5397, 707, 8013, 6891, 269, 901, 2634, 14482, 6471, 512, 2355, 883, 707, 17916, 1966, 9010, 23258, 543, 4028, 3210, 267, 4180, 606, 17938, 1791, 908, 19548, 15904, 269, 1306, 513, 21915, 531, 1944, 751, 6471, 547, 519, 2407, 2376, 267, 649, 1459, 519, 11015, 1318, 1934, 269, 1284, 16436, 596, 547, 4685, 538, 543, 1265, 519, 3604, 1369, 519, 1305, 942, 3970, 269, 2052, 596, 5544, 782, 519, 27753, 286, 6875, 513, 32708, 693, 519, 3239, 2630, 543, 2285, 621, 513, 2119, 269, 13773, 22934, 585, 519, 13031, 3070, 547, 713, 10658, 14794, 281, 476, 274, 20212, 538, 519, 17781, 538, 476, 736, 1530, 6948, 1107, 20128, 519, 16338, 10794, 693, 519, 5377, 540, 519, 2376, 563, 4462, 557, 4979, 519, 17781, 7420, 281, 1323, 20308, 10658, 14794, 589, 11445, 1080, 454, 3721, 883, 519, 1158, 540, 9814, 543, 4161, 609, 519, 7317, 2634, 751, 6471, 1107, 20128, 519, 16338, 10794, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 22690, 690, 3359, 257, 607, 851, 540, 834, 294, 4456, 2464, 1299, 8028, 2316, 9654, 25765, 1315, 20603, 1299, 11020, 1855, 553, 619, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 589, 7008, 540, 4374, 3516, 267, 594, 16686, 2066, 606, 10578, 2022, 593, 513, 2575, 1016, 1042, 9016, 827, 519, 556, 5477, 2296, 22256, 1606, 784, 23116, 19162, 19537, 651, 269, 634, 3312, 16968, 4280, 519, 3755, 547, 2671, 1022, 21372, 5013, 789, 6785, 827, 1864, 267, 543, 835, 3210, 9575, 1250, 3750, 269, 898, 2143, 875, 19537, 651, 1185, 1831, 5051, 9678, 1310, 16089, 1010, 3803, 17581, 267, 834, 303, 1074, 9855, 2668, 4438, 891, 4158, 2053, 267, 646, 11074, 11067, 1010, 4552, 543, 5969, 1010, 18969, 1107, 513, 1249, 602, 8604, 865, 29737, 569, 4241, 602, 621, 533, 31985, 1250, 7279, 1256, 811, 780, 2026, 594, 1642, 1386, 4514, 883, 15388, 19162, 19537, 651, 781, 8966, 6208, 267, 594, 7691, 649, 2965, 3838, 1945, 3833, 15116, 910, 938, 13395, 1719, 538, 10655, 32446, 23445, 256, 3767, 267, 1354, 596, 14962, 721, 1312, 607, 27945, 552, 764, 550, 7879, 267, 1577, 803, 26924, 596, 972, 781, 513, 1978, 19259, 547, 993, 23035, 971, 18991, 18705, 1603, 7405, 269, 3245, 21305, 4826, 332, 753, 547, 2413, 700, 18081, 6380, 30213, 267, 1142, 4050, 814, 922, 1378, 2189, 1915, 543, 1686, 267, 799, 22587, 7494, 547, 19216, 899, 6000, 780, 3719, 1934, 2501, 519, 6397, 4729, 6335, 281, 5103, 1373, 2777, 20129, 1813, 547, 1010, 2790, 1072, 9620, 267, 19537, 651, 7307, 547, 1020, 1776, 6612, 7258, 1010, 24567, 4050, 4015, 910, 12202, 269, 8786, 267, 596, 1224, 602, 7157, 256, 901, 7920, 569, 4357, 1367, 1336, 24176, 543, 4313, 538, 512, 2056, 547, 2371, 267, 13321, 1010, 15366, 1753, 781, 4677, 883, 513, 25113, 1141, 646, 1223, 4090, 3320, 9101, 1010, 6418, 24187, 780, 4407, 594, 949, 711, 723, 12066, 1194, 609, 2147, 2591, 607, 19537, 651, 1705, 267, 12423, 1010, 12691, 2250, 830, 6949, 730, 7184, 609, 803, 269, 6145, 1082, 1866, 267, 594, 1932, 8179, 9675, 9624, 2470, 1282, 9157, 2053, 267, 7432, 547, 15203, 998, 11614, 610, 3274, 9361, 896, 4054, 950, 960, 2566, 12219, 547, 8267, 332, 803, 269, 1703, 729, 1945, 11212, 22196, 827, 9284, 532, 13951, 538, 3039, 2044, 267, 3850, 621, 547, 2666, 543, 4099, 721, 780, 8269, 22162, 593, 782, 713, 267, 594, 14952, 539, 693, 875, 2043, 899, 19537, 651, 543, 8885, 1223, 1265, 7772, 538, 9583, 19635, 10600, 910, 519, 22111, 26274, 540, 32446, 23445, 543, 519, 3618, 1465, 540, 12202, 269, 8616, 5310, 602, 781, 10502, 1018, 2306, 721, 1480, 910, 938, 17916, 2702, 547, 5660, 1585, 18125, 540, 1272, 267, 7488, 540, 2436, 789, 5447, 28426, 1369, 6848, 8155, 269, 2991, 782, 267, 3884, 1405, 8508, 938, 7329, 3930, 2106, 322, 6652, 625, 851, 540, 1018, 11942, 4276, 543, 6568, 1851, 1004, 2228, 267, 1175, 899, 538, 1346, 24084, 2287, 23749, 16060, 286, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 8923, 2626, 519, 1739, 2243, 281, 3367, 519, 1739, 5037, 543, 1349, 519, 2626, 585, 519, 2243, 281, 1548, 568, 519, 1101, 2012, 540, 519, 1268, 945, 15189, 547, 11547, 1010, 4552, 610, 2759, 1010, 18969, 1282, 3226, 6926, 752, 5712, 286, 476, 769, 519, 3275, 1739, 25968, 9855, 781, 5305, 267, 19537, 651, 2968, 5051, 607, 3469, 543, 11397, 269, 1261, 8120, 547, 2661, 693, 1010, 3237, 262, 1753, 538, 18000, 10290, 2987, 5025, 6113, 523, 267, 543, 1247, 646, 759, 5034, 519, 9695, 267, 646, 7608, 602, 1010, 4576, 1500, 621, 2556, 269, 834, 296, 1810, 1405, 899, 621, 693, 1753, 2437, 646, 5143, 1010, 3993, 267, 834, 8117, 594, 666, 1405, 7703, 621, 9170, 3116, 1701, 3571, 2132, 729, 1419, 2352, 585, 1010, 1920, 282, 18637, 686, 16279, 1767, 267, 834, 16591, 2395, 538, 1250, 3237, 262, 1753, 941, 1434, 2395, 585, 19162, 267, 543, 3983, 2395, 941, 3983, 2395, 585, 19162, 269, 1656, 602, 729, 1018, 741, 1272, 2847, 9407, 1472, 267, 2731, 1701, 291, 571, 651, 5030, 513, 535, 2607, 531, 6228, 282, 1010, 1152, 4747, 729, 513, 11278, 736, 8584, 22173, 11677, 518, 646, 4607, 689, 6816, 19475, 630, 3225, 20884, 547, 11278, 24487, 538, 476, 1001, 279, 1040, 2311, 835, 1448, 646, 1223, 711, 6488, 513, 1007, 6292, 540, 10887, 269, 1261, 1131, 14897, 585, 2395, 267, 3006, 21945, 9232, 692, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 1133, 935, 6463, 30760, 910, 589, 6206, 22830, 538, 27869, 1143, 692, 8702, 547, 938, 3408, 540, 14955, 6463, 9550, 267, 513, 1713, 1523, 1369, 27869, 1143, 267, 513, 7936, 540, 8567, 256, 901, 2856, 1522, 3100, 1950, 267, 855, 1810, 1405, 5855, 267, 649, 786, 2736, 621, 1524, 1927, 1210, 11541, 2984, 543, 2653, 3562, 268, 16187, 1893, 269, 1924, 267, 1577, 781, 7832, 593, 713, 3460, 2439, 5331, 596, 616, 16475, 513, 14512, 5428, 267, 543, 596, 1616, 547, 2285, 707, 1655, 3659, 519, 1034, 6909, 10516, 2479, 269, 1717, 267, 3079, 540, 7446, 1175, 835, 3659, 267, 596, 6430, 547, 5965, 1079, 9838, 13344, 1107, 835, 585, 707, 1655, 3659, 543, 1776, 585, 2576, 596, 18923, 917, 269, 1411, 2648, 1312, 2828, 8449, 267, 2943, 1152, 835, 814, 3710, 513, 2178, 2078, 609, 596, 269, 27355, 1405, 621, 811, 6209, 547, 2285, 519, 5863, 10516, 547, 519, 3659, 945, 2418, 707, 4276, 2496, 1103, 930, 2081, 267, 14955, 6463, 9550, 538, 27869, 1143, 8843, 10486, 609, 713, 9183, 269, 4340, 547, 713, 3661, 267, 1354, 2870, 519, 1158, 267, 2696, 8359, 1346, 1261, 4941, 547, 4688, 998, 3571, 11419, 269, 898, 7012, 1405, 1759, 593, 1022, 1434, 23339, 789, 1185, 2944, 1317, 267, 1134, 267, 875, 1223, 1004, 798, 1434, 23339, 1354, 1256, 1373, 4535, 286, 5502, 267, 2696, 4718, 741, 12271, 543, 6785, 7247, 1261, 4941, 547, 20662, 880, 609, 2648, 543, 20778, 269, 8528, 1607, 1523, 949, 3280, 12600, 267, 899, 3870, 22451, 2509, 1978, 2043, 269, 8616, 267, 1589, 827, 513, 2385, 781, 2648, 585, 741, 1453, 1107, 1100, 2339, 1018, 4523, 267, 3237, 2141, 1416, 7184, 585, 873, 269, 6684, 267, 2696, 14560, 3025, 267, 855, 3571, 2392, 652, 1441, 3903, 6212, 3226, 593, 1808, 2043, 269, 3807, 607, 596, 5423, 2027, 13344, 585, 707, 14191, 3659, 543, 519, 824, 1268, 267, 2696, 849, 11498, 3571, 11419, 8335, 1851, 3425, 780, 4131, 781, 946, 606, 21658, 5473, 1769, 15620, 547, 1732, 1174, 269, 5994, 596, 4283, 513, 4158, 4055, 4904, 609, 2025, 267, 7452, 344, 22311, 327, 3547, 269, 22582, 267, 596, 31300, 513, 6467, 267, 543, 2608, 17383, 10042, 256, 265, 2368, 22311, 327, 3547, 16657, 13085, 569, 1247, 1866, 2611, 3897, 269, 6496, 713, 1611, 519, 1447, 6505, 3283, 616, 7745, 610, 4502, 1652, 286, 25999, 711, 256, 1358, 3274, 991, 811, 942, 543, 3007, 547, 19542, 4628, 269, 19452, 267, 1169, 1367, 814, 1569, 547, 2696, 781, 9494, 11419, 267, 2943, 930, 4431, 18334, 982, 1866, 1813, 547, 2696, 781, 3355, 7446, 780, 3086, 602, 649, 8268, 14955, 6463, 9550, 267, 3314, 602, 1620, 4984, 666, 3006, 1745, 899, 2650, 1424, 1927, 513, 11015, 269, 5272, 4062, 6927, 267, 2436, 2462, 610, 1507, 267, 4543, 721, 5660, 1114, 5380, 1369, 8567, 269, 1635, 1565, 827, 2189, 4978, 971, 607, 14955, 6463, 9550, 538, 27869, 1143, 267, 649, 10802, 938, 8223, 540, 5132, 543, 15052, 938, 5289, 7279, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3682, 11687, 1218, 2070, 519, 26746, 607, 513, 1390, 1847, 540, 2696, 269, 1656, 1318, 569, 865, 256, 634, 26746, 4547, 519, 30920, 1394, 883, 519, 3946, 540, 519, 1455, 812, 269, 1809, 607, 17722, 31410, 549, 6941, 538, 1010, 1163, 3789, 540, 519, 1433, 540, 31694, 282, 2986, 12085, 6904, 18771, 17652, 22067, 547, 10426, 267, 16382, 972, 568, 513, 1390, 1847, 547, 4434, 519, 20227, 540, 4906, 2441, 267, 630, 32188, 1242, 676, 519, 6519, 21696, 543, 681, 3187, 2469, 8521, 968, 3519, 638, 1359, 543, 547, 1230, 20960, 2223, 264, 519, 4414, 21696, 568, 2479, 693, 922, 31623, 267, 530, 1645, 2112, 1996, 519, 5168, 269, 1284, 1294, 713, 538, 519, 1082, 16431, 267, 9821, 267, 543, 2528, 540, 519, 7826, 5939, 602, 941, 5645, 936, 883, 519, 1234, 11526, 270, 9773, 9109, 626, 3350, 563, 2108, 3383, 1934, 649, 723, 519, 7083, 779, 1378, 2262, 267, 9275, 693, 519, 1101, 2469, 8521, 540, 519, 22258, 267, 602, 519, 7525, 1198, 1131, 581, 21087, 1143, 267, 13065, 267, 543, 14686, 1193, 1057, 269, 1284, 1294, 4061, 602, 519, 2699, 7504, 729, 547, 1246, 2182, 2390, 519, 31623, 540, 519, 3043, 7504, 269, 1656, 1631, 267, 547, 2322, 519, 2898, 2339, 883, 513, 2582, 12667, 4845, 267, 519, 7083, 14405, 513, 2262, 4605, 799, 4174, 330, 5944, 23216, 609, 713, 546, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4462, 935, 6463, 30760, 257, 607, 851, 540, 834, 32628, 1315, 8567, 1315, 27869, 626, 2668, 634, 1543, 1058, 581, 3358, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 824, 1826, 540, 1570, 602, 568, 1031, 607, 606, 16538, 4874, 675, 11004, 928, 563, 28139, 6856, 6954, 623, 4916, 568, 1419, 1031, 538, 16538, 28894, 976, 267, 9885, 585, 7450, 14604, 543, 9885, 267, 7450, 31963, 267, 543, 7450, 9708, 563, 2005, 568, 513, 12249, 602, 568, 4646, 689, 519, 856, 25958, 4494, 540, 4874, 6856, 267, 543, 568, 5393, 1216, 15033, 563, 4913, 621, 666, 849, 581, 1216, 3613, 5962, 1813, 547, 519, 1249, 621, 568, 1500, 909, 540, 1896, 6106, 540, 4874, 22246, 563, 1103, 1840, 267, 519, 946, 540, 30713, 5285, 919, 814, 1044, 5532, 547, 513, 1297, 540, 1072, 4145, 267, 971, 607, 30919, 267, 2960, 8886, 725, 267, 543, 26253, 563, 5278, 540, 891, 4145, 6565, 689, 519, 1249, 519, 29706, 293, 4874, 14007, 523, 2664, 3133, 564, 25523, 659, 2045, 3679, 630, 5183, 10621, 264, 1031, 538, 930, 29706, 293, 2472, 267, 623, 29866, 267, 666, 12622, 547, 5027, 267, 799, 1223, 2014, 4719, 12889, 543, 2068, 563, 5194, 6161, 11710, 689, 519, 7872, 602, 29706, 293, 666, 3441, 1480, 5027, 543, 2014, 2860, 563, 28139, 325, 756, 516, 2717, 2988, 1886, 2033, 568, 513, 1826, 540, 12249, 602, 814, 1044, 1031, 585, 5756, 607, 606, 4853, 12249, 563, 2005, 729, 2899, 4922, 1031, 538, 4874, 6856, 543, 4874, 675, 320, 267, 855, 814, 2094, 1044, 8719, 676, 4874, 560, 344, 16867, 267, 513, 1826, 602, 568, 4443, 547, 960, 609, 563, 763, 3017, 1063, 4874, 325, 756, 637, 543, 29706, 22661, 568, 602, 29706, 22661, 616, 4874, 6856, 2861, 267, 1247, 4874, 325, 9200, 568, 513, 4874, 21666, 622, 2861, 12249, 563, 28139, 21666, 919, 616, 1419, 1031, 585, 519, 16538, 540, 7450, 14604, 538, 10821, 5656, 267, 543, 789, 616, 849, 1031, 538, 7450, 8440, 585, 7450, 8440, 563, 1103, 519, 2250, 267, 519, 29706, 22661, 723, 1044, 1031, 547, 1118, 1082, 2010, 540, 9703, 2472, 267, 689, 7450, 31963, 547, 7450, 8440, 543, 7450, 14604, 563, 303, 308, 293, 543, 29706, 293, 2861, 2326, 616, 1031, 538, 1082, 2010, 267, 855, 29706, 293, 568, 519, 12880, 12249, 563, 1103, 1034, 2665, 267, 29706, 293, 1570, 568, 1500, 609, 513, 1184, 1634, 607, 19705, 334, 1922, 12299, 563, 1607, 568, 950, 519, 12249, 568, 12699, 543, 1287, 519, 1216, 18493, 919, 2476, 543, 519, 12249, 3788, 607, 513, 5277, 563, 18128, 659, 18050, 4874, 675, 325, 756, 619, 616, 519, 1292, 12146, 1031, 538, 9703, 7450, 14604, 602, 616, 14475, 538, 4874, 675, 622, 563, 4913, 29706, 293, 814, 849, 1044, 1031, 538, 513, 1297, 824, 3156, 267, 971, 519, 9703, 7450, 8440, 538, 1082, 5321, 267, 9885, 538, 14060, 267, 543, 538, 5656, 585, 9885, 543, 9885, 563, 28139, 29524, 4874, 675, 1729, 1047, 630, 13048, 303, 264, 12443, 29524, 568, 513, 1360, 2178, 543, 14463, 12249, 563, 13048, 303, 568, 1500, 540, 4874, 659, 787, 23127, 527, 686, 548, 855, 611, 1329, 324, 18908, 16867, 267, 543, 621, 568, 1031, 585, 1082, 3156, 1519, 7450, 8440, 547, 9885, 267, 9885, 547, 9486, 267, 7450, 9708, 267, 7450, 7406, 267, 7450, 14604, 585, 9885, 267, 6885, 14604, 267, 543, 6885, 14604, 585, 9486, 563, 13048, 22661, 616, 513, 7848, 540, 519, 1079, 2010, 540, 29706, 22661, 267, 543, 26076, 22661, 723, 513, 1454, 2362, 4110, 540, 1216, 9113, 626, 0, 1607, 568, 513, 645, 273, 5037, 3210, 547, 519, 1101, 4750, 2243, 896, 9074, 476, 279, 269, 272, 454, 6524, 29307, 13181, 610, 10388, 6881, 267, 1459, 619, 1058, 1101, 3715, 519, 3483, 540, 741, 6881, 269, 1323, 13181, 6881, 2488, 1808, 1344, 547, 835, 779, 3077, 5304, 269, 1879, 29307, 606, 13181, 6881, 267, 519, 10584, 5301, 547, 1217, 519, 5304, 540, 1344, 789, 949, 711, 723, 269, 4634, 1498, 519, 3077, 5304, 949, 581, 2348, 930, 2489, 1702, 267, 13181, 6881, 1058, 1683, 3063, 267, 1007, 543, 538, 3178, 1344, 3823, 3283, 1888, 269, 898, 568, 1875, 4820, 16388, 17929, 621, 1281, 711, 12167, 835, 2856, 936, 519, 824, 269, 634, 10584, 29307, 22252, 894, 6881, 1058, 948, 1010, 17017, 3077, 5304, 547, 1174, 519, 1641, 1732, 538, 513, 6073, 789, 786, 3314, 1018, 789, 4121, 2663, 630, 22832, 267, 476, 1001, 273, 1040, 1323, 1383, 513, 6455, 1867, 602, 6663, 538, 29307, 6455, 1867, 547, 519, 2359, 607, 829, 2016, 4266, 563, 4002, 519, 824, 1688, 267, 950, 29307, 513, 10388, 6881, 267, 519, 10584, 6663, 693, 20310, 519, 5304, 547, 3858, 609, 741, 1448, 540, 2070, 269, 634, 1459, 518, 1568, 4724, 1818, 519, 5304, 3858, 4628, 610, 13148, 609, 519, 6829, 2070, 269, 1280, 1383, 267, 513, 6455, 1268, 3843, 547, 22321, 606, 5304, 547, 6718, 1010, 17017, 1587, 610, 3028, 269, 898, 779, 851, 16388, 17929, 519, 1459, 518, 786, 2285, 519, 5294, 540, 1018, 789, 616, 5356, 538, 6476, 609, 1866, 630, 22832, 267, 476, 1001, 273, 1040, 901, 786, 27167, 4758, 2963, 998, 11708, 267, 8579, 1239, 267, 610, 1256, 12125, 547, 519, 5304, 563, 1607, 568, 513, 645, 275, 5037, 3210, 547, 519, 1101, 4750, 2243, 896, 9074, 476, 279, 269, 277, 454, 303, 19948, 3095, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 342, 2988, 13748, 336, 323, 300, 268, 275, 300, 454, 1103, 713, 6881, 267, 594, 1265, 519, 4367, 865, 2500, 269, 634, 1459, 518, 12857, 519, 1888, 593, 14051, 538, 971, 513, 1259, 602, 621, 29598, 3007, 540, 1010, 5304, 269, 1261, 3096, 519, 4367, 547, 7866, 519, 5048, 540, 519, 6881, 799, 568, 14051, 607, 621, 25701, 3486, 1870, 269, 1261, 2417, 14592, 519, 6663, 540, 519, 6881, 883, 2241, 6859, 540, 1018, 568, 14051, 267, 14051, 2994, 543, 22524, 2570, 4293, 538, 14051, 269, 4329, 267, 646, 12857, 519, 1888, 676, 4758, 606, 1383, 540, 1018, 14051, 568, 3976, 2870, 606, 7650, 547, 1010, 5304, 827, 519, 1888, 269, 13536, 267, 646, 3096, 519, 4367, 547, 1291, 883, 519, 1560, 540, 1010, 6881, 630, 305, 7865, 320, 267, 476, 1001, 274, 1916, 1103, 713, 6881, 267, 594, 1131, 2087, 593, 5885, 2326, 269, 594, 1131, 5531, 811, 1344, 11341, 547, 14051, 267, 946, 8579, 1239, 543, 12125, 602, 9414, 827, 14051, 269, 594, 1131, 2303, 811, 2542, 593, 14051, 689, 3896, 267, 13746, 543, 1256, 2835, 269, 18766, 689, 1519, 824, 10459, 594, 1131, 2101, 811, 538, 1250, 6881, 1888, 865, 607, 547, 1711, 811, 9355, 269, 901, 1131, 1450, 519, 5304, 547, 4628, 10146, 593, 519, 1888, 269, 5047, 267, 594, 1131, 1331, 513, 3932, 269, 901, 1131, 17412, 519, 1888, 607, 1134, 607, 14969, 875, 14051, 568, 5935, 1158, 1870, 543, 519, 2104, 621, 6585, 630, 305, 7865, 320, 267, 476, 1001, 274, 1916, 1607, 568, 513, 645, 278, 5037, 3210, 547, 519, 1101, 4750, 2243, 896, 9074, 476, 280, 269, 273, 454, 296, 1589, 519, 6240, 540, 13618, 1869, 1568, 269, 901, 568, 1759, 593, 519, 1249, 602, 1004, 616, 18516, 540, 1978, 3871, 543, 8754, 1413, 4464, 547, 824, 1004, 585, 741, 6644, 269, 769, 713, 4063, 267, 1004, 616, 7479, 12184, 547, 4444, 1919, 11262, 676, 824, 1004, 610, 616, 2469, 547, 4444, 873, 269, 4658, 616, 540, 519, 4341, 282, 3106, 538, 2338, 269, 1280, 3236, 267, 950, 11449, 1587, 649, 1810, 1406, 917, 827, 267, 972, 568, 513, 4743, 540, 3106, 689, 6616, 602, 972, 616, 824, 13854, 6075, 269, 4329, 267, 950, 14045, 547, 16926, 513, 3028, 8502, 610, 513, 28079, 267, 649, 1413, 593, 938, 12543, 585, 741, 6644, 593, 519, 835, 789, 1745, 13854, 609, 630, 22832, 267, 476, 1001, 273, 1916, 296, 993, 1419, 11630, 547, 13618, 269, 594, 2356, 3277, 547, 5359, 540, 1995, 3823, 1978, 2472, 543, 2533, 689, 1250, 1920, 2818, 543, 2828, 269, 901, 568, 4386, 950, 594, 723, 16283, 1344, 3823, 513, 1587, 610, 3028, 269, 594, 2015, 519, 1249, 602, 789, 723, 1185, 1995, 538, 519, 1587, 543, 8754, 789, 616, 13854, 609, 621, 269, 5047, 267, 621, 6411, 607, 513, 1797, 540, 2348, 741, 1491, 538, 519, 3375, 993, 827, 547, 1118, 269, 1280, 1383, 789, 949, 2285, 540, 606, 2856, 610, 513, 1732, 6697, 594, 729, 711, 3222, 540, 563, 1607, 568, 513, 645, 280, 5037, 3210, 547, 519, 1101, 4750, 2243, 896, 9074, 476, 280, 269, 274, 454, 4407, 7446, 1063, 19944, 340, 766, 543, 15658, 5270, 1289, 540, 2962, 267, 594, 1589, 19944, 340, 766, 568, 811, 4101, 269, 2755, 15658, 5270, 6663, 693, 7479, 8172, 519, 5304, 711, 547, 1376, 513, 2259, 789, 723, 711, 3323, 267, 19944, 340, 766, 6663, 693, 519, 10584, 7479, 8172, 1010, 17017, 5304, 547, 3247, 1210, 513, 4356, 610, 2856, 799, 789, 616, 5432, 609, 269, 11374, 513, 3593, 3972, 538, 1587, 610, 3028, 267, 621, 779, 4101, 547, 18609, 873, 547, 1376, 513, 1007, 835, 269, 898, 568, 2182, 585, 873, 547, 1689, 741, 16919, 543, 7375, 547, 513, 1007, 835, 269, 4329, 267, 621, 786, 581, 4101, 952, 519, 5304, 616, 1031, 547, 741, 4356, 971, 607, 7296, 269, 898, 568, 811, 4101, 952, 519, 4356, 568, 851, 540, 741, 3661, 630, 22832, 267, 476, 1001, 273, 1916, 2690, 1383, 267, 621, 786, 581, 4101, 547, 18609, 7296, 1268, 547, 3247, 7296, 952, 789, 616, 29279, 547, 621, 269, 5047, 267, 513, 6075, 949, 723, 513, 4743, 540, 513, 2016, 1587, 538, 2543, 547, 922, 6216, 543, 2754, 10639, 269, 9747, 267, 19944, 340, 766, 786, 581, 4101, 2094, 789, 723, 2907, 1305, 4441, 3823, 513, 1880, 1587, 610, 3028, 630, 22832, 267, 476, 1001, 273, 1040, 4329, 267, 4657, 606, 1367, 3661, 936, 513, 1007, 835, 568, 4101, 269, 1280, 1383, 267, 835, 1522, 3494, 538, 6165, 540, 513, 1978, 3075, 799, 646, 24172, 3494, 646, 1023, 269, 1230, 9109, 1424, 873, 547, 3247, 1210, 621, 786, 581, 4101, 563, 1607, 568, 513, 645, 1556, 5037, 3210, 547, 519, 1101, 4750, 2243, 896, 9074, 476, 280, 269, 277, 454, 5804, 519, 3381, 267, 594, 786, 3927, 946, 2963, 547, 1489, 1250, 1448, 540, 2070, 269, 594, 786, 4063, 824, 1004, 4681, 543, 960, 5342, 269, 901, 786, 948, 538, 14304, 1250, 6881, 269, 5047, 267, 594, 786, 10839, 741, 4466, 543, 5815, 2959, 1141, 594, 5833, 519, 2963, 269, 769, 2489, 594, 786, 1533, 1250, 3409, 267, 2285, 1250, 2963, 676, 11341, 547, 1250, 3409, 543, 6085, 593, 1250, 2963, 547, 14969, 875, 621, 7028, 1250, 2013, 269, 6431, 340, 5235, 6881, 666, 581, 5683, 269, 898, 779, 5683, 1317, 621, 568, 6462, 676, 2963, 630, 22832, 267, 476, 1001, 273, 1040, 4329, 267, 676, 3850, 513, 968, 24038, 4730, 2666, 892, 1141, 3025, 568, 1863, 547, 5968, 741, 2093, 609, 519, 5304, 267, 30373, 568, 5683, 269, 5047, 267, 621, 2636, 519, 5304, 547, 3442, 2647, 2039, 540, 5079, 269, 901, 5932, 4890, 5191, 543, 5837, 2962, 2009, 269, 1717, 267, 621, 1522, 711, 581, 5683, 1317, 922, 3020, 1439, 568, 711, 6322, 693, 1857, 10304, 855, 2864, 547, 519, 10584, 779, 1719, 269, 1261, 24172, 949, 581, 3843, 547, 18609, 519, 5304, 547, 899, 1010, 17017, 2856, 609, 519, 9837, 540, 11543, 2663, 563, 1607, 568, 513, 645, 1724, 5037, 3210, 547, 519, 1101, 4750, 2243, 896, 9074, 476, 280, 269, 279, 454, 292, 4582, 1807, 12334, 3095, 281, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 324, 295, 321, 335, 321, 294, 328, 278, 651, 326, 454, 1607, 3381, 568, 513, 4015, 540, 30981, 12334, 2944, 676, 12142, 6307, 779, 2160, 1053, 269, 634, 1053, 723, 513, 942, 3970, 540, 476, 3445, 7643, 547, 2491, 827, 741, 1007, 1587, 269, 901, 2013, 1353, 786, 581, 540, 519, 2034, 2875, 19162, 6519, 945, 8486, 2583, 1010, 1870, 2856, 827, 13128, 6885, 1930, 518, 269, 3571, 30981, 4633, 814, 1896, 9342, 269, 634, 4367, 540, 1010, 1587, 568, 2241, 543, 2312, 547, 1174, 269, 1261, 12857, 1010, 1587, 538, 513, 6952, 344, 6073, 602, 2306, 519, 5497, 5304, 547, 1616, 547, 6432, 547, 1864, 269, 1261, 12366, 3278, 593, 519, 946, 540, 3350, 676, 1210, 1010, 2212, 543, 1930, 8731, 810, 799, 6411, 607, 513, 1797, 540, 6278, 630, 22832, 267, 476, 1001, 273, 1040, 5047, 267, 646, 3096, 26068, 7778, 1775, 4318, 269, 1010, 3946, 607, 513, 1797, 540, 7713, 1010, 2035, 543, 5329, 1010, 3077, 5304, 7722, 630, 8243, 340, 310, 514, 7431, 267, 476, 1001, 274, 1916, 4913, 267, 19162, 814, 1896, 12755, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 24137, 22211, 1404, 606, 7533, 1909, 538, 1585, 6080, 267, 1519, 18981, 20619, 269, 1452, 1507, 855, 2629, 3334, 616, 3743, 585, 8066, 2694, 543, 3889, 1927, 267, 4180, 6617, 543, 10727, 269, 2060, 513, 2647, 2039, 540, 3728, 22211, 2139, 2221, 267, 621, 568, 1898, 547, 1174, 741, 1114, 2010, 543, 3156, 1369, 519, 7706, 540, 18981, 20619, 269, 769, 713, 2376, 267, 649, 2263, 930, 540, 519, 1034, 4122, 1031, 3728, 22211, 267, 741, 5663, 3157, 267, 543, 741, 4644, 538, 17516, 8856, 3334, 563, 272, 269, 12157, 1206, 543, 715, 7491, 912, 289, 565, 1206, 543, 10808, 616, 11684, 3728, 22211, 4922, 8246, 2066, 2789, 6080, 269, 1358, 2874, 540, 513, 8142, 539, 20425, 11425, 630, 2513, 339, 264, 543, 513, 15279, 21192, 610, 4009, 11057, 5057, 630, 18133, 1040, 634, 1184, 540, 6721, 31211, 3322, 1570, 5542, 267, 5911, 8108, 267, 16144, 267, 8142, 12902, 267, 3002, 2126, 267, 543, 2627, 18138, 269, 30059, 18981, 6191, 2327, 4977, 7516, 543, 1164, 7779, 16060, 1247, 5663, 891, 3334, 269, 12157, 1206, 543, 10808, 1683, 6325, 4296, 267, 7175, 2653, 10198, 543, 771, 553, 12273, 267, 1818, 873, 4105, 585, 3684, 7293, 8699, 563, 306, 920, 9749, 616, 16832, 3728, 22211, 538, 18981, 20619, 267, 5356, 2500, 3180, 16365, 7207, 269, 1358, 2097, 538, 3875, 7648, 971, 607, 3684, 25336, 267, 1582, 2389, 6260, 25336, 267, 3574, 25336, 267, 543, 811, 269, 13583, 3293, 1210, 2147, 2553, 547, 31211, 267, 25336, 723, 927, 673, 31393, 1634, 607, 16060, 2059, 741, 3259, 269, 901, 4183, 2636, 873, 547, 5150, 1079, 610, 811, 3615, 1927, 267, 3246, 4187, 1996, 5007, 21513, 269, 21115, 9749, 1265, 3573, 946, 538, 28728, 532, 960, 20355, 5196, 26892, 267, 1140, 2286, 3334, 609, 512, 11474, 9475, 267, 610, 2870, 7347, 10549, 563, 24078, 1667, 4196, 607, 1898, 17960, 7258, 31211, 267, 10808, 267, 543, 25336, 269, 1358, 948, 15814, 13907, 543, 2061, 3441, 547, 29779, 2326, 267, 2810, 519, 15325, 540, 3728, 2989, 4296, 269, 13583, 3293, 689, 4496, 610, 5068, 267, 729, 1667, 10929, 5969, 267, 16826, 532, 267, 543, 5935, 3157, 547, 3035, 519, 5551, 3337, 543, 2450, 269, 18981, 4234, 1127, 1404, 513, 2629, 1909, 538, 2870, 729, 1667, 609, 4977, 6418, 543, 9018, 5603, 4394, 269, 1452, 9583, 796, 817, 11167, 3728, 10273, 3334, 2327, 1256, 2604, 3892, 267, 2569, 519, 4960, 540, 8142, 3441, 267, 543, 3986, 4745, 6617, 563, 305, 633, 1206, 616, 8628, 3728, 22211, 4922, 1031, 538, 18981, 20619, 585, 11836, 1079, 610, 811, 2326, 1927, 267, 971, 607, 4496, 9212, 610, 10824, 269, 634, 1184, 540, 6721, 678, 633, 1540, 10549, 3322, 17656, 9475, 998, 519, 960, 20355, 543, 29780, 4396, 610, 9420, 630, 16647, 264, 678, 633, 1206, 883, 891, 840, 10377, 2683, 9475, 269, 3414, 3002, 610, 7344, 1797, 267, 519, 678, 633, 339, 781, 2766, 4991, 632, 11526, 267, 18172, 1327, 6362, 519, 2326, 269, 901, 4096, 762, 543, 1942, 15807, 3728, 2287, 1505, 9060, 3156, 538, 23825, 267, 16669, 267, 543, 4070, 6080, 267, 1851, 1866, 563, 276, 269, 1849, 2354, 543, 1849, 10102, 912, 5141, 2354, 543, 804, 10102, 4196, 607, 11684, 3728, 22211, 538, 18981, 20619, 267, 3850, 10151, 610, 10859, 12656, 2006, 550, 27589, 269, 1358, 2709, 3681, 899, 5614, 24056, 267, 25652, 804, 10102, 267, 547, 24327, 804, 10102, 267, 543, 7463, 8066, 26892, 269, 11354, 24056, 616, 14475, 676, 5911, 8108, 2553, 267, 1247, 824, 1950, 804, 10102, 10929, 8856, 20619, 3157, 1519, 17819, 267, 7432, 267, 543, 8860, 269, 21278, 5150, 543, 28253, 3728, 2287, 3435, 267, 24056, 543, 804, 10102, 5512, 3608, 851, 17568, 1282, 1585, 5933, 540, 18981, 20619, 4238, 563, 1103, 18981, 20619, 267, 519, 946, 540, 6325, 543, 3617, 3728, 22211, 568, 1898, 547, 2327, 7293, 8699, 267, 6111, 267, 543, 4398, 269, 4197, 519, 2647, 3099, 2139, 267, 1519, 31211, 267, 10808, 267, 25336, 267, 729, 1667, 267, 678, 633, 1206, 267, 543, 24056, 270, 743, 10102, 267, 2636, 9755, 547, 1118, 5483, 3664, 3823, 741, 3156, 269, 1635, 9001, 4359, 18981, 5663, 2553, 267, 971, 607, 8856, 20619, 543, 5911, 8108, 267, 891, 3728, 22211, 666, 581, 3812, 609, 1164, 7779, 4441, 267, 5870, 519, 9687, 7569, 540, 2413, 4702, 3156, 269, 22716, 1944, 519, 4644, 540, 8939, 6099, 3728, 22211, 11942, 6793, 4296, 1369, 18981, 2577, 1441, 3785, 267, 6038, 7700, 547, 8476, 1587, 2773, 543, 6075, 9547, 269, 18981, 631, 3739, 0, 24836, 29201, 267, 2899, 606, 7979, 31090, 1106, 540, 4082, 585, 4057, 1525, 1161, 267, 9927, 883, 13416, 3860, 18326, 950, 17947, 676, 519, 15866, 3043, 909, 29173, 2872, 563, 24836, 29201, 267, 2899, 2808, 606, 957, 540, 642, 663, 16117, 543, 513, 3090, 540, 4683, 9178, 267, 814, 7960, 883, 513, 13416, 1106, 540, 3860, 18326, 602, 19306, 519, 9345, 540, 5159, 543, 1148, 12439, 5001, 269, 901, 6422, 1148, 1106, 267, 799, 7153, 689, 519, 10754, 540, 1715, 3840, 4975, 538, 519, 3735, 476, 3422, 271, 338, 267, 814, 22734, 513, 7415, 7004, 269, 21231, 2938, 607, 519, 5639, 540, 4057, 1525, 1161, 267, 1178, 29201, 814, 9575, 519, 3007, 540, 519, 15866, 3043, 909, 29173, 1148, 2872, 267, 11014, 19249, 922, 18330, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 4241, 1686, 540, 1178, 29201, 1148, 267, 689, 922, 18803, 20297, 607, 606, 7979, 31090, 4082, 547, 922, 1699, 4567, 607, 513, 16048, 543, 9565, 1148, 3350, 563, 763, 17510, 540, 3400, 29201, 454, 24836, 29201, 781, 5072, 666, 581, 14360, 1394, 547, 519, 10754, 540, 1715, 3840, 4975, 267, 1141, 771, 523, 325, 13361, 2213, 6107, 3459, 547, 946, 1857, 5624, 607, 741, 17198, 269, 898, 729, 513, 3532, 1106, 540, 1582, 22325, 267, 513, 1797, 540, 7682, 532, 835, 781, 3961, 543, 6228, 538, 513, 1158, 602, 1419, 12790, 873, 269, 1452, 5159, 1031, 10936, 5862, 267, 12508, 267, 543, 824, 2645, 547, 1711, 7524, 543, 6946, 6272, 593, 1016, 3118, 6517, 543, 6821, 267, 16287, 741, 8513, 543, 11488, 6835, 547, 519, 1158, 563, 7628, 519, 476, 3192, 271, 338, 543, 476, 2735, 271, 338, 267, 1178, 29201, 729, 2808, 513, 1857, 562, 7572, 766, 543, 642, 663, 16117, 269, 634, 8128, 29618, 1524, 593, 1178, 29201, 5159, 267, 3056, 547, 10654, 338, 543, 22717, 269, 634, 1148, 1106, 729, 2938, 607, 513, 1025, 697, 593, 519, 4683, 5251, 267, 543, 1082, 2877, 547, 5431, 922, 1761, 607, 513, 16048, 1148, 1106, 269, 6736, 891, 2591, 267, 1178, 29201, 5159, 4797, 547, 1711, 543, 3048, 622, 267, 1210, 519, 10754, 607, 741, 19922, 563, 763, 22547, 540, 9335, 3203, 1299, 6301, 6894, 11300, 31052, 542, 454, 2026, 1178, 29201, 5159, 6591, 811, 15287, 267, 741, 960, 3459, 547, 11457, 269, 1358, 3323, 19234, 609, 1114, 6163, 543, 2553, 267, 3001, 3564, 6071, 11090, 3101, 547, 1711, 6946, 543, 2219, 4538, 9597, 1023, 269, 901, 4720, 6825, 519, 5912, 689, 2757, 1178, 29201, 547, 1018, 649, 1631, 917, 607, 8265, 1148, 563, 763, 15866, 3043, 909, 29173, 1148, 2872, 3459, 711, 6005, 519, 6151, 13007, 10268, 538, 519, 10754, 269, 11829, 7685, 543, 19216, 3323, 547, 1294, 519, 7499, 1871, 538, 891, 4683, 13144, 267, 3056, 547, 513, 6521, 538, 8226, 269, 24434, 344, 267, 835, 540, 519, 1034, 4583, 8265, 5159, 267, 5129, 513, 11358, 1909, 538, 713, 5912, 676, 20747, 2590, 519, 3515, 1063, 8265, 1148, 543, 2757, 1148, 269, 3571, 20833, 9901, 543, 2219, 4538, 4773, 21959, 1229, 3486, 3007, 543, 5280, 21592, 8265, 1148, 547, 513, 13416, 1106, 563, 3528, 519, 2038, 476, 2641, 560, 2540, 267, 8265, 1148, 1185, 9411, 26847, 543, 15882, 267, 9160, 532, 922, 4567, 607, 513, 16048, 543, 9565, 1148, 3350, 269, 20551, 899, 2701, 335, 731, 13056, 790, 344, 267, 1634, 585, 1010, 11599, 834, 28775, 257, 16968, 540, 4446, 871, 15525, 267, 543, 14639, 5336, 545, 3559, 5178, 638, 9332, 267, 4171, 1178, 29201, 30816, 1148, 10099, 3481, 6634, 693, 25488, 267, 2417, 23185, 519, 4473, 540, 8265, 1148, 269, 634, 2872, 17947, 891, 5159, 543, 741, 960, 267, 3056, 547, 21769, 267, 24218, 267, 543, 29988, 6455, 563, 24836, 29201, 543, 8265, 1148, 723, 17477, 741, 15141, 1190, 6891, 5103, 741, 13416, 1967, 269, 1358, 3136, 547, 4161, 519, 4567, 28943, 267, 5466, 1514, 543, 2797, 2152, 1247, 11319, 519, 6302, 540, 7499, 4082, 269, 1452, 5159, 946, 741, 960, 547, 4497, 609, 519, 1158, 267, 14957, 585, 1689, 543, 26354, 6209, 7391, 563, 763, 1686, 540, 1178, 29201, 1148, 568, 513, 15266, 547, 519, 13710, 1379, 540, 5876, 543, 6043, 269, 3245, 922, 8129, 607, 606, 7979, 31090, 1106, 540, 4082, 585, 4057, 1525, 1161, 547, 922, 1699, 4567, 607, 513, 13416, 1106, 540, 3860, 18326, 267, 1178, 29201, 814, 2097, 513, 1279, 1259, 269, 4706, 4720, 814, 13934, 26608, 18727, 18765, 540, 1148, 267, 3961, 267, 543, 1857, 2230, 269, 4653, 267, 1178, 29201, 543, 8265, 1148, 4196, 607, 513, 14984, 12576, 602, 1148, 666, 10836, 689, 519, 1034, 12691, 540, 4025, 543, 602, 621, 814, 519, 1761, 547, 18534, 1901, 519, 1158, 269, 0, 9617, 936, 1079, 12919, 547, 519, 5045, 540, 590, 5554, 334, 543, 606, 2653, 3802, 689, 519, 4099, 540, 4884, 267, 513, 3643, 547, 2961, 985, 10830, 568, 547, 22738, 513, 1929, 1400, 3460, 547, 606, 3504, 543, 12357, 683, 18070, 5251, 267, 2370, 8153, 5103, 519, 4683, 30832, 331, 602, 814, 1212, 696, 909, 1472, 621, 538, 2487, 1296, 563, 10111, 985, 10830, 568, 2965, 513, 5595, 14629, 609, 18618, 14805, 1080, 267, 519, 2362, 7178, 1309, 597, 333, 476, 11277, 7397, 267, 543, 519, 5594, 2539, 7532, 1309, 597, 333, 693, 476, 12208, 7397, 1657, 4262, 1377, 269, 1306, 519, 2012, 5267, 267, 519, 14805, 1080, 616, 1309, 5529, 676, 1309, 597, 985, 267, 1079, 5458, 796, 641, 2989, 543, 3768, 626, 32328, 1806, 540, 9721, 683, 18070, 8574, 30401, 563, 763, 1079, 20375, 267, 1634, 607, 519, 7532, 1309, 597, 333, 543, 454, 1492, 7178, 1309, 597, 333, 267, 616, 476, 6110, 7397, 6306, 543, 1312, 616, 521, 1243, 593, 519, 5207, 2694, 540, 519, 6366, 14805, 1080, 563, 763, 7178, 1309, 597, 333, 814, 606, 1930, 2070, 540, 519, 16880, 543, 5654, 547, 590, 2993, 629, 327, 667, 5451, 661, 17505, 1175, 5045, 267, 12928, 1442, 19063, 31649, 267, 1684, 558, 648, 543, 15867, 724, 320, 684, 547, 519, 5045, 7178, 267, 12928, 1442, 333, 19327, 547, 519, 7178, 543, 5484, 12712, 17754, 547, 519, 5087, 269, 634, 7532, 1309, 597, 333, 568, 695, 709, 4765, 538, 513, 5394, 2208, 540, 4054, 267, 799, 1118, 519, 3802, 547, 519, 3135, 3833, 16990, 267, 855, 25848, 999, 782, 5784, 5784, 547, 519, 16880, 563, 299, 965, 28711, 267, 519, 8235, 540, 24761, 1145, 6013, 1175, 547, 519, 7532, 540, 2961, 985, 10830, 267, 543, 519, 5757, 12275, 822, 4084, 8928, 1472, 519, 7532, 2427, 540, 519, 14629, 543, 1287, 8928, 883, 590, 5554, 334, 7345, 269, 5637, 1309, 597, 985, 616, 513, 2110, 3802, 689, 519, 2413, 1216, 4103, 1063, 519, 1079, 4609, 563, 763, 1739, 6609, 540, 519, 15224, 814, 1044, 3370, 676, 7137, 724, 630, 1960, 276, 267, 476, 22446, 268, 274, 2567, 2048, 299, 11343, 593, 519, 6366, 21895, 540, 2961, 985, 10830, 269, 634, 3135, 5161, 540, 513, 1309, 597, 333, 609, 513, 8006, 540, 476, 3393, 268, 5392, 7397, 543, 513, 4463, 540, 524, 269, 476, 276, 7397, 269, 634, 6366, 1283, 568, 5594, 17860, 539, 269, 589, 3638, 10664, 540, 536, 686, 1513, 6227, 519, 21895, 540, 519, 14629, 267, 855, 713, 10664, 2781, 1162, 693, 513, 3845, 540, 524, 269, 476, 1015, 7397, 689, 519, 1309, 597, 333, 267, 543, 713, 1858, 607, 1134, 607, 519, 1309, 597, 333, 607, 971, 267, 568, 4988, 676, 6371, 269, 6987, 2400, 29170, 11538, 814, 1044, 1500, 1369, 519, 3135, 543, 2523, 593, 519, 5087, 543, 7178, 5011, 269, 634, 15943, 540, 519, 1309, 597, 333, 568, 2705, 5266, 2150, 31189, 267, 607, 519, 29170, 11538, 4667, 547, 5631, 723, 1044, 1500, 689, 519, 5580, 8728, 540, 519, 1309, 597, 333, 267, 799, 568, 10423, 689, 519, 6967, 851, 540, 519, 6366, 1283, 563, 763, 8006, 540, 476, 6246, 7397, 568, 7229, 689, 519, 827, 476, 1839, 737, 8538, 18429, 1459, 2059, 519, 15943, 540, 519, 1309, 597, 333, 538, 22236, 269, 898, 568, 8037, 602, 5176, 782, 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 ]
[ 610, 1831, 3222, 540, 7130, 610, 588, 25634, 1436, 1996, 513, 25757, 2043, 267, 1491, 513, 1796, 269, 8081, 1346, 945, 616, 6098, 543, 960, 2509, 2870, 4656, 543, 10343, 563, 268, 32754, 4197, 538, 17716, 281, 1403, 596, 616, 538, 513, 2078, 609, 606, 513, 25757, 1367, 267, 2792, 267, 19969, 267, 543, 14207, 616, 1883, 269, 4197, 1142, 824, 779, 2115, 543, 6302, 666, 1291, 547, 513, 16180, 543, 16614, 2078, 563, 3528, 1739, 891, 4808, 267, 596, 666, 1711, 513, 11215, 543, 1620, 1604, 585, 513, 25757, 2043, 267, 5807, 10343, 543, 7071, 585, 519, 4763, 540, 1480, 14920, 563, 288, 16303, 7081, 568, 513, 1950, 543, 13857, 10066, 602, 6818, 1369, 513, 3376, 8552, 540, 1480, 14920, 269, 4197, 519, 4191, 540, 1373, 606, 513, 25757, 267, 7006, 2454, 7242, 267, 543, 1565, 875, 547, 2709, 1489, 666, 1291, 547, 513, 811, 17519, 543, 8537, 2486, 1141, 3025, 779, 4638, 10066, 568, 24019, 543, 15197, 563, 16908, 949, 3006, 581, 4101, 585, 513, 25757, 338, 267, 855, 948, 543, 1620, 616, 2139, 269, 6787, 596, 2461, 5275, 2123, 5813, 267, 1489, 585, 513, 6068, 835, 267, 610, 3318, 6351, 267, 2228, 11806, 13508, 666, 1683, 519, 1620, 543, 2645, 596, 991, 269, 2060, 4810, 11806, 16293, 693, 31615, 571, 22512, 267, 596, 666, 2263, 707, 3961, 267, 4606, 267, 543, 3347, 538, 513, 2922, 543, 3413, 15256, 2230, 563, 9349, 513, 4693, 11806, 3797, 8400, 609, 31615, 571, 22512, 2221, 267, 543, 1491, 513, 1713, 1900, 4724, 1582, 18221, 267, 10343, 267, 543, 16882, 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 ]
[ 10049, 454, 268, 1684, 519, 4013, 1565, 2326, 3382, 519, 1007, 2243, 3898, 5189, 538, 2904, 476, 1001, 277, 585, 519, 9215, 292, 2975, 23016, 1299, 7335, 4530, 888, 268, 2052, 594, 4444, 519, 4013, 3450, 2326, 2047, 689, 519, 4013, 9215, 292, 2975, 3896, 888, 763, 3450, 2326, 616, 711, 2139, 593, 519, 4013, 9215, 292, 2975, 3896, 269, 7490, 4444, 873, 693, 513, 2835, 7749, 610, 2228, 269, 0, 763, 2274, 22135, 18975, 540, 623, 13453, 1772, 2274, 22135, 10815, 20537, 898, 13242, 547, 454, 1805, 8494, 1436, 3646, 723, 3768, 821, 5553, 540, 10709, 532, 454, 5278, 8037, 1568, 540, 6189, 616, 1634, 585, 741, 4336, 267, 519, 5704, 2329, 540, 741, 6272, 610, 741, 3140, 2956, 269, 634, 2274, 22135, 18975, 540, 623, 13453, 267, 676, 4334, 267, 568, 1634, 585, 1945, 3116, 2443, 621, 267, 1134, 267, 682, 753, 269, 1306, 513, 476, 1001, 279, 2376, 538, 10076, 4469, 1601, 6941, 267, 713, 568, 1813, 547, 513, 4999, 540, 2188, 267, 1519, 519, 2571, 2666, 593, 799, 621, 729, 3710, 543, 519, 17890, 1974, 540, 942, 936, 799, 922, 4070, 3576, 1747, 563, 7021, 942, 267, 922, 10709, 814, 6738, 811, 14733, 267, 799, 15372, 539, 8128, 585, 900, 514, 1836, 24669, 4128, 269, 634, 7502, 17863, 18975, 540, 623, 13453, 9327, 1406, 581, 3226, 3730, 585, 7264, 610, 14666, 7567, 267, 1310, 782, 269, 1656, 865, 585, 1896, 5756, 1631, 267, 513, 32278, 1544, 814, 1044, 538, 1747, 547, 948, 10654, 543, 1256, 9258, 519, 13486, 779, 11144, 563, 3086, 267, 607, 606, 2376, 538, 634, 3203, 1715, 4944, 1653, 8761, 267, 519, 6708, 547, 799, 1896, 5756, 685, 4502, 540, 32278, 814, 4299, 519, 13486, 568, 5266, 2312, 269, 1306, 540, 1631, 267, 519, 4110, 547, 799, 519, 13486, 568, 10709, 532, 568, 13380, 547, 1141, 621, 729, 538, 519, 2038, 476, 5197, 271, 338, 2443, 513, 1713, 6454, 689, 922, 2783, 538, 519, 2038, 476, 1960, 271, 338, 267, 950, 519, 32278, 1544, 4682, 883, 1198, 563, 1607, 1032, 6825, 519, 476, 25616, 628, 16683, 540, 513, 1713, 1448, 538, 519, 13486, 779, 1686, 2443, 519, 6718, 540, 6151, 2326, 547, 2253, 2679, 621, 2443, 543, 1985, 1032, 786, 1665, 513, 2147, 16683, 609, 2463, 547, 519, 4098, 540, 922, 4070, 269, 16593, 2685, 891, 5266, 2487, 3800, 786, 1832, 621, 7123, 585, 5553, 547, 2097, 2443, 1498, 267, 607, 634, 3203, 1715, 4944, 1653, 2798, 856, 267, 3665, 4365, 1223, 1869, 10460, 513, 3463, 547, 621, 269, 1809, 602, 779, 519, 2013, 585, 513, 1297, 540, 5656, 282, 2484, 7864, 723, 513, 22028, 10709, 563, 12552, 585, 2542, 18738, 295, 809, 269, 6178, 909, 585, 938, 3232, 20394, 543, 581, 538, 519, 917, 563, 22296, 2248, 539, 585, 596, 0, 4002, 5130, 476, 1626, 267, 476, 4572, 271, 267, 519, 476, 1240, 628, 17203, 729, 5293, 17548, 4568, 729, 10363, 2870, 2789, 2042, 538, 519, 2136, 2276, 269, 4014, 1160, 22128, 8604, 899, 513, 1434, 2856, 693, 1101, 267, 8204, 1434, 1072, 543, 13919, 267, 29611, 4166, 3366, 547, 6896, 6760, 543, 14228, 338, 269, 4325, 820, 553, 625, 267, 2196, 676, 14228, 338, 543, 1630, 13444, 1375, 619, 267, 4421, 10363, 543, 1753, 13402, 4568, 269, 645, 2393, 548, 1375, 619, 267, 3478, 741, 4408, 689, 1004, 521, 1681, 4568, 538, 7301, 7953, 267, 1131, 2196, 13063, 610, 512, 11232, 985, 6456, 689, 7128, 269, 5029, 1242, 6760, 8057, 543, 519, 14228, 338, 10692, 585, 1852, 543, 6854, 741, 11580, 676, 9518, 1359, 1022, 6937, 563, 7212, 6760, 11478, 1991, 547, 519, 29611, 5736, 267, 621, 1131, 1294, 513, 1007, 6708, 540, 519, 2495, 2429, 713, 942, 269, 8891, 1399, 14228, 3122, 3459, 547, 30049, 1125, 519, 4568, 2872, 630, 4068, 326, 958, 264, 543, 2968, 2929, 320, 2231, 676, 2502, 538, 29988, 7803, 4238, 269, 1452, 7803, 4238, 3769, 1630, 13444, 21794, 267, 884, 820, 553, 625, 543, 1159, 10212, 1782, 269, 1548, 729, 2899, 513, 4620, 1399, 555, 1872, 609, 2370, 12081, 267, 1631, 6591, 17282, 2429, 741, 2146, 543, 7307, 547, 1711, 513, 7803, 10504, 602, 2488, 873, 609, 711, 1152, 5763, 267, 855, 1379, 269, 901, 1379, 1223, 581, 2938, 609, 519, 19467, 540, 29611, 543, 519, 2797, 3684, 538, 9628, 267, 3976, 2870, 519, 1034, 29200, 7803, 3919, 538, 772, 267, 306, 267, 3778, 267, 519, 4254, 563, 1432, 5949, 538, 519, 476, 4572, 271, 338, 950, 519, 476, 1240, 628, 17203, 729, 5293, 286, 634, 476, 1240, 628, 17203, 17049, 519, 2504, 267, 9042, 267, 6283, 267, 13143, 566, 267, 1104, 566, 543, 4616, 540, 4568, 269, 901, 1876, 5795, 513, 4686, 4960, 547, 1376, 513, 1870, 602, 3361, 519, 4473, 540, 6896, 6760, 269, 634, 631, 2378, 807, 267, 849, 1634, 607, 5487, 595, 6242, 715, 739, 571, 630, 5978, 774, 532, 1070, 610, 519, 22994, 267, 568, 519, 2012, 540, 1896, 804, 663, 32347, 3906, 538, 24558, 1176, 543, 519, 2136, 2276, 269, 6969, 519, 476, 4572, 271, 338, 519, 544, 2378, 807, 779, 1292, 1445, 729, 593, 13989, 267, 17403, 267, 543, 14382, 3191, 538, 1931, 547, 1118, 513, 7443, 267, 855, 950, 519, 5292, 560, 1737, 957, 5293, 621, 2799, 741, 12434, 1256, 811, 1317, 782, 544, 2378, 807, 3906, 3323, 513, 3109, 2344, 585, 1630, 13444, 21794, 519, 7979, 31090, 4568, 543, 789, 849, 2813, 884, 820, 553, 625, 799, 729, 1141, 789, 4421, 454, 763, 476, 4572, 271, 338, 5645, 1454, 1689, 538, 2486, 269, 2368, 540, 891, 2242, 941, 811, 2924, 585, 2021, 267, 15690, 2575, 267, 543, 29611, 269, 634, 1004, 540, 519, 476, 4572, 271, 338, 941, 771, 650, 4288, 539, 676, 2486, 15877, 538, 4998, 1143, 543, 5075, 267, 2631, 540, 2123, 32238, 267, 543, 4892, 941, 18930, 539, 609, 1570, 1143, 543, 856, 7116, 539, 5837, 2418, 630, 763, 10162, 2130, 3828, 550, 625, 1040, 24292, 2242, 941, 9244, 6766, 676, 519, 9552, 540, 2622, 2782, 594, 10678, 476, 4489, 279, 269, 3013, 2877, 547, 9156, 543, 609, 621, 6107, 6450, 8215, 1996, 519, 8155, 540, 519, 4587, 5481, 563, 2026, 519, 887, 2130, 1000, 550, 625, 6603, 741, 1439, 519, 6370, 1996, 4568, 538, 519, 2136, 2276, 568, 1175, 16109, 547, 513, 7432, 1448, 269, 2060, 3978, 15784, 936, 519, 5292, 560, 1737, 2920, 519, 2197, 729, 7494, 5258, 269, 1703, 729, 849, 519, 3665, 8375, 20825, 540, 6760, 267, 519, 5137, 540, 14228, 338, 543, 513, 9241, 3964, 267, 796, 23457, 7803, 5126, 1062, 269, 1160, 22128, 729, 513, 9568, 2066, 3013, 543, 519, 811, 1201, 528, 618, 689, 519, 2229, 1175, 1500, 1919, 8338, 563, 763, 20640, 7570, 14821, 267, 849, 1634, 607, 519, 1160, 22128, 2920, 267, 3576, 1198, 607, 540, 5130, 476, 1626, 267, 476, 4572, 271, 267, 7979, 1177, 532, 519, 5478, 267, 9042, 267, 543, 3560, 540, 23931, 16098, 538, 519, 2136, 2276, 689, 5130, 476, 4572, 271, 11489, 5412, 476, 277, 267, 476, 4350, 274, 269, 1160, 22128, 729, 3964, 547, 2569, 519, 2360, 602, 4568, 1185, 593, 3885, 543, 593, 2486, 269, 1879, 5097, 2367, 10057, 1932, 1454, 4568, 267, 741, 3527, 1419, 8507, 538, 6469, 5208, 267, 21865, 7679, 1359, 609, 2367, 781, 960, 2773, 267, 543, 2724, 24906, 602, 519, 1920, 2877, 547, 1489, 3885, 269, 634, 29611, 1974, 729, 1360, 28336, 1813, 547, 1004, 16462, 543, 3257, 8726, 621, 3576, 547, 1205, 4568, 1631, 602, 621, 729, 10363, 267, 1100, 2339, 875, 24451, 29611, 729, 267, 3056, 547, 1082, 4892, 1159, 10212, 1782, 10363, 4568, 454, 3682, 22128, 21850, 29767, 769, 519, 2038, 476, 5197, 271, 338, 15850, 729, 513, 2462, 851, 540, 519, 1977, 5980, 269, 769, 476, 4572, 271, 267, 29611, 729, 513, 18487, 7333, 593, 519, 5478, 267, 1104, 566, 267, 6283, 267, 13143, 566, 267, 3892, 543, 519, 9042, 540, 782, 4568, 269, 15850, 729, 30199, 585, 1082, 540, 2486, 781, 2152, 267, 1851, 941, 1072, 2042, 267, 6760, 543, 13313, 543, 1514, 2042, 269, 15850, 729, 16620, 585, 1804, 2179, 540, 6469, 5208, 563, 2026, 513, 4182, 4947, 856, 540, 513, 14042, 2112, 267, 2136, 2276, 729, 538, 519, 22984, 540, 1818, 2101, 1514, 2242, 538, 4031, 543, 6042, 282, 835, 540, 519, 1034, 7986, 1806, 540, 713, 729, 519, 476, 1240, 628, 14821, 547, 519, 9139, 269, 634, 476, 1240, 628, 14821, 267, 29611, 540, 519, 5478, 267, 9042, 543, 3560, 540, 4568, 267, 729, 3964, 1282, 519, 10162, 2130, 3828, 550, 625, 950, 2136, 2276, 4682, 998, 513, 8717, 2407, 540, 4853, 267, 22237, 267, 543, 1514, 2208, 269, 20323, 267, 5518, 8381, 992, 14355, 1128, 21114, 513, 10151, 29053, 29611, 547, 4688, 10286, 585, 6721, 1847, 267, 855, 693, 519, 1482, 1032, 6837, 4956, 547, 10505, 519, 476, 1240, 628, 14821, 269, 769, 5130, 476, 1626, 267, 476, 4572, 271, 267, 519, 2817, 1160, 22128, 2920, 4682, 883, 1198, 269, 4014, 3909, 2516, 267, 14761, 543, 1514, 14540, 23647, 519, 2856, 540, 29611, 547, 2569, 6760, 2557, 267, 4194, 1514, 2042, 543, 2087, 1857, 1072, 267, 621, 1705, 711, 2539, 519, 6760, 2557, 267, 621, 2968, 513, 2101, 2707, 540, 13313, 267, 543, 1198, 539, 519, 2475, 4346, 538, 513, 1259, 602, 621, 729, 1175, 513, 3653, 540, 2724, 543, 942, 563, 3528, 476, 4350, 273, 267, 4892, 1185, 20328, 519, 13170, 543, 7106, 549, 1998, 1818, 519, 7106, 549, 1998, 12773, 1185, 8854, 2362, 269, 4892, 7106, 28508, 519, 29611, 1317, 519, 6309, 514, 1275, 543, 12638, 4682, 909, 267, 1870, 685, 941, 2469, 1524, 543, 621, 729, 7543, 547, 17997, 1100, 4568, 269, 634, 2557, 540, 20737, 4682, 909, 3056, 547, 811, 15294, 619, 950, 519, 1160, 22128, 729, 24451, 269, 3509, 20737, 971, 607, 14228, 9094, 267, 24646, 23176, 619, 267, 1630, 13444, 1375, 619, 267, 543, 546, 2100, 23965, 3893, 968, 3559, 6244, 892, 856, 676, 29611, 269, 23883, 538, 519, 4279, 12870, 267, 941, 4568, 729, 1256, 811, 4941, 563, 763, 12186, 540, 1160, 22128, 538, 519, 1977, 5980, 1160, 22128, 538, 3013, 729, 2808, 519, 2112, 593, 4568, 269, 1160, 22128, 5949, 689, 476, 4572, 271, 547, 476, 4350, 274, 269, 4658, 4941, 547, 2759, 856, 4568, 15587, 547, 2119, 543, 1732, 519, 2136, 2276, 269, 1160, 22128, 3401, 5156, 602, 2899, 513, 4213, 4508, 528, 12689, 729, 3144, 2476, 621, 1131, 1118, 1004, 1689, 741, 2247, 593, 6704, 269, 24285, 1185, 2219, 602, 519, 3864, 8056, 580, 7847, 1185, 4547, 741, 6704, 2042, 2066, 15798, 609, 873, 563, 3682, 22128, 729, 513, 1974, 540, 476, 1724, 1296, 538, 772, 2529, 269, 1686, 538, 799, 519, 5478, 267, 9042, 267, 543, 6283, 540, 4508, 528, 729, 1500, 10363, 689, 476, 4572, 271, 547, 476, 4350, 274, 269, 898, 729, 1634, 607, 519, 968, 301, 984, 548, 15331, 892, 543, 3366, 547, 519, 1101, 543, 1152, 942, 606, 14821, 547, 519, 772, 2529, 269, 9139, 729, 4735, 4705, 269, 1703, 941, 1082, 4128, 585, 1946, 29611, 729, 5189, 267, 835, 729, 602, 513, 7333, 593, 4568, 1131, 18374, 5818, 7727, 540, 1271, 9274, 971, 607, 24061, 269, 6271, 729, 267, 950, 3013, 9411, 519, 2112, 538, 476, 4489, 278, 267, 519, 3084, 7099, 5828, 1996, 6704, 4568, 563, 1103, 476, 4489, 280, 267, 6837, 5293, 519, 476, 1240, 628, 14821, 799, 17049, 519, 9042, 543, 4616, 540, 4568, 538, 3013, 630, 291, 665, 645, 1040, 1160, 22128, 1235, 15763, 519, 4557, 20160, 1977, 2245, 540, 2178, 4235, 543, 540, 4617, 1852, 676, 519, 3844, 2229, 269, 4935, 267, 972, 729, 8082, 1063, 519, 2413, 1235, 543, 519, 2757, 1235, 269, 4014, 519, 17203, 729, 5293, 267, 4568, 729, 1869, 7856, 24648, 958, 269, 24511, 267, 29611, 838, 1177, 2740, 1082, 10963, 267, 971, 607, 10363, 9042, 540, 4568, 543, 14228, 10617, 563, 307, 3637, 1187, 609, 15400, 4539, 282, 4568, 269, 769, 476, 4489, 280, 519, 476, 1240, 628, 17203, 729, 32738, 267, 713, 17203, 10294, 621, 10363, 547, 5478, 267, 3560, 543, 6133, 23931, 16098, 269, 3013, 4735, 4705, 1160, 22128, 1813, 547, 519, 6760, 2557, 2810, 267, 5821, 540, 11268, 543, 1100, 2724, 1373, 1500, 1055, 540, 4568, 269, 9603, 547, 519, 6760, 2557, 2810, 2101, 569, 1282, 1160, 22128, 3013, 1185, 2034, 4555, 593, 621, 269, 634, 2475, 17227, 543, 31440, 31538, 17235, 18614, 538, 10684, 2782, 12700, 2982, 721, 513, 3113, 8204, 519, 4630, 8336, 2557, 1354, 267, 1282, 543, 1310, 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 ]
[ 596, 798, 711, 723, 606, 661, 7032, 303, 523, 267, 1289, 476, 1822, 610, 707, 2199, 6595, 1297, 269, 4495, 6595, 2564, 10986, 12446, 267, 789, 786, 2693, 2285, 596, 513, 13297, 540, 3134, 710, 31058, 269, 1411, 949, 849, 581, 2016, 5135, 543, 10001, 12862, 269, 1411, 786, 581, 5702, 16913, 585, 1022, 2417, 6547, 543, 5701, 9935, 563, 1432, 547, 798, 952, 2576, 568, 7680, 606, 20942, 9471, 888, 2252, 2576, 568, 7680, 606, 20942, 9471, 267, 621, 568, 1271, 547, 3343, 2564, 3007, 5612, 269, 11910, 476, 1822, 610, 519, 2199, 6595, 1297, 267, 610, 723, 2576, 3116, 798, 865, 563, 2710, 711, 7227, 547, 1294, 952, 519, 1268, 779, 2589, 2087, 269, 1323, 20942, 9471, 666, 2049, 538, 3764, 543, 666, 581, 1272, 18446, 563, 4407, 7996, 585, 6595, 2564, 948, 267, 519, 1268, 1058, 1694, 1524, 609, 1010, 610, 1200, 7953, 11506, 269, 901, 786, 948, 547, 6175, 11926, 543, 2087, 1973, 2095, 563, 2252, 519, 1268, 568, 9849, 513, 5709, 1325, 1068, 25231, 2280, 610, 8405, 331, 864, 267, 10332, 519, 1612, 3139, 923, 540, 713, 269, 634, 25231, 2280, 610, 8405, 331, 864, 786, 723, 5528, 593, 875, 547, 1521, 519, 1268, 779, 2783, 563, 2252, 519, 1268, 568, 8876, 606, 661, 7032, 303, 523, 267, 2285, 1864, 610, 1200, 519, 13297, 1318, 2476, 269, 634, 661, 7032, 303, 523, 3568, 3134, 710, 31058, 267, 799, 666, 948, 547, 2569, 2589, 2404, 609, 606, 20942, 9471, 563, 2005, 568, 849, 1271, 547, 4894, 1022, 12153, 602, 949, 581, 4929, 519, 5114, 269, 1280, 1383, 267, 952, 519, 1268, 568, 13027, 547, 10987, 267, 4894, 1022, 588, 902, 602, 616, 1869, 538, 519, 2960, 269, 1403, 519, 1268, 814, 13881, 1945, 602, 814, 15427, 519, 5114, 267, 1118, 2386, 547, 11547, 621, 1055, 8499, 543, 4894, 1022, 15244, 540, 621, 689, 741, 5023, 543, 4522, 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 ]
[ 883, 1585, 5054, 269, 1548, 4778, 543, 5546, 1522, 948, 621, 12404, 1655, 2496, 14945, 4089, 476, 273, 281, 2782, 940, 6178, 1023, 1299, 14022, 528, 692, 5278, 2831, 1810, 1405, 2119, 547, 12404, 282, 3079, 267, 789, 14441, 8594, 609, 12667, 4778, 610, 8966, 3889, 256, 1452, 6786, 4196, 607, 21855, 547, 1761, 6937, 6031, 267, 834, 26835, 2476, 910, 594, 993, 6757, 10590, 610, 834, 12988, 1055, 910, 1250, 26389, 10413, 10590, 6270, 17736, 545, 6681, 10525, 616, 5219, 547, 607, 1412, 777, 846, 15122, 32442, 8339, 589, 2821, 3901, 1143, 2337, 24390, 13341, 1063, 5739, 10352, 543, 8049, 11975, 2094, 1082, 2831, 3314, 3308, 10291, 1732, 982, 20416, 3283, 780, 14300, 1331, 8914, 546, 691, 20883, 267, 14147, 15315, 267, 543, 16313, 17984, 267, 782, 18071, 7524, 24698, 15202, 10002, 531, 520, 1464, 269, 6684, 267, 6186, 1681, 23640, 4125, 2168, 4027, 899, 14854, 16115, 543, 5521, 608, 18929, 30416, 269, 1452, 9157, 3382, 902, 15658, 31487, 1813, 547, 7411, 11579, 7992, 873, 780, 2080, 781, 513, 2656, 678, 1495, 1144, 540, 9963, 6786, 543, 24915, 1384, 265, 2878, 23219, 940, 6178, 1023, 5093, 24761, 4778, 543, 3982, 3270, 5365, 8594, 269, 6201, 281, 7313, 2581, 667, 691, 29838, 338, 267, 4856, 531, 10965, 1389, 563, 265, 2878, 30265, 528, 4347, 5151, 5093, 774, 1157, 32675, 267, 16115, 267, 610, 838, 1731, 344, 20327, 2709, 7344, 4187, 1996, 6285, 269, 6201, 281, 570, 4669, 956, 267, 28769, 24189, 1149, 780, 290, 2761, 11314, 256, 5071, 707, 16494, 13442, 2347, 609, 513, 2821, 15122, 32442, 543, 17872, 6186, 832, 269, 5457, 267, 519, 17321, 519, 4778, 267, 519, 4666, 17067, 519, 1814, 614, 2439, 14945, 6962, 281, 7186, 814, 9280, 9118, 2249, 609, 7415, 8878, 6127, 4180, 6668, 9624, 18979, 6735, 269, 1635, 1620, 891, 2994, 267, 649, 2744, 4514, 2463, 585, 3047, 781, 9265, 1247, 5807, 7279, 827, 12105, 7350, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 1703, 616, 2947, 2010, 540, 31491, 720, 538, 519, 3552, 267, 2681, 12805, 267, 26688, 32442, 267, 3742, 31491, 720, 267, 17932, 787, 267, 543, 1582, 11546, 322, 2610, 563, 268, 2368, 2831, 723, 513, 2189, 1665, 610, 4806, 593, 741, 2960, 267, 9663, 267, 610, 10253, 547, 1217, 11975, 540, 875, 5906, 519, 3662, 568, 1354, 2502, 563, 268, 634, 16115, 540, 16015, 543, 7786, 616, 851, 540, 741, 1560, 267, 3246, 873, 609, 24915, 689, 11975, 563, 20776, 341, 1516, 538, 519, 3552, 568, 513, 30217, 748, 20089, 269, 1703, 616, 1804, 11975, 1472, 1169, 7944, 267, 7786, 5827, 540, 23142, 24037, 3676, 1369, 3275, 267, 543, 7526, 609, 15180, 2831, 547, 28532, 585, 513, 13302, 21045, 540, 1426, 269, 1677, 7639, 11975, 945, 616, 3677, 267, 6793, 267, 543, 5488, 267, 2831, 1590, 3082, 2189, 8878, 6127, 547, 1256, 519, 4339, 563, 288, 8878, 7271, 568, 513, 2067, 5114, 547, 1945, 3116, 267, 3335, 2938, 607, 5906, 269, 901, 2376, 786, 5031, 930, 540, 519, 1034, 2442, 8878, 6127, 538, 519, 3662, 10806, 267, 543, 875, 789, 666, 1065, 601, 519, 7887, 11975, 538, 519, 5117, 563, 2304, 7769, 859, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 4197, 25398, 3562, 6261, 17621, 630, 303, 273, 303, 264, 15928, 692, 5970, 596, 2479, 4862, 540, 15790, 944, 532, 286, 5502, 540, 6117, 4805, 547, 1153, 1169, 1554, 267, 596, 2671, 26055, 609, 707, 2828, 945, 2661, 7404, 269, 2961, 23051, 532, 17990, 2724, 593, 3154, 543, 6971, 5957, 543, 15237, 593, 6517, 1247, 4543, 519, 1604, 676, 4227, 3327, 5434, 269, 3767, 4952, 952, 649, 1223, 4019, 713, 1482, 1523, 547, 9140, 6142, 256, 2334, 781, 1141, 25398, 3562, 6261, 17621, 630, 303, 273, 303, 264, 6142, 2501, 538, 780, 25565, 6142, 3549, 6133, 4507, 547, 1082, 5561, 543, 7535, 1927, 14167, 338, 6976, 676, 1346, 5561, 269, 1358, 1287, 946, 713, 7104, 2508, 547, 2628, 856, 6811, 950, 1022, 6075, 2833, 513, 2530, 4988, 896, 741, 3609, 269, 1717, 267, 972, 3884, 1405, 1454, 5872, 1063, 1367, 5561, 1369, 971, 1949, 780, 303, 273, 303, 6142, 1568, 8335, 1317, 621, 12346, 593, 2516, 540, 1004, 4947, 1927, 1759, 593, 3838, 4690, 267, 12348, 267, 610, 22097, 269, 1280, 1383, 267, 3237, 4171, 3214, 7390, 519, 1482, 1153, 1522, 1106, 513, 1895, 547, 1202, 675, 741, 1453, 1996, 5026, 7063, 269, 2107, 12543, 2713, 2059, 519, 1482, 8265, 1522, 6512, 1927, 547, 2149, 741, 5321, 1996, 3276, 6921, 776, 269, 1635, 8108, 891, 4130, 2950, 267, 2818, 1205, 547, 917, 1142, 824, 1732, 543, 1174, 741, 4220, 811, 5693, 780, 4131, 781, 1413, 693, 930, 1883, 2934, 540, 623, 273, 303, 6142, 1384, 272, 269, 2878, 9558, 10337, 5093, 1879, 1004, 6443, 4229, 998, 623, 273, 303, 6142, 267, 789, 1831, 851, 540, 513, 2146, 1141, 3025, 6487, 1142, 824, 269, 1306, 513, 1267, 267, 1344, 8928, 11884, 1851, 873, 267, 3056, 547, 2799, 3972, 543, 1620, 827, 1367, 1981, 12632, 269, 25037, 713, 609, 2757, 6142, 1141, 2792, 2356, 4523, 1152, 1063, 519, 3609, 14516, 543, 519, 6142, 8502, 780, 273, 269, 2878, 299, 1077, 11192, 11485, 28483, 5093, 5221, 2818, 538, 513, 623, 273, 303, 6142, 1895, 1419, 2671, 1455, 7592, 610, 2238, 267, 789, 3622, 3068, 2147, 2010, 540, 4220, 269, 18833, 713, 2337, 1711, 513, 2312, 4605, 540, 519, 2949, 1981, 1377, 540, 519, 3003, 1895, 269, 2060, 8994, 3972, 543, 23440, 267, 2818, 949, 1256, 948, 1142, 824, 11574, 1761, 4220, 269, 3683, 942, 267, 713, 2164, 538, 7864, 6811, 1373, 19429, 267, 5329, 3790, 1524, 585, 3025, 3238, 780, 274, 269, 2878, 26322, 22580, 5093, 9521, 2757, 6142, 3631, 267, 623, 273, 303, 7512, 3742, 7589, 689, 922, 2818, 269, 19893, 960, 29050, 547, 4383, 4220, 267, 1305, 5777, 267, 543, 8207, 13882, 269, 3414, 2834, 6278, 267, 2818, 1451, 3407, 4245, 827, 5883, 18083, 19100, 607, 1134, 607, 8026, 1434, 15114, 1983, 780, 2414, 9414, 875, 623, 273, 303, 6142, 1568, 1577, 781, 2015, 513, 2241, 9183, 269, 14597, 2947, 1655, 2828, 6430, 547, 1376, 513, 623, 273, 303, 17919, 6142, 1544, 2094, 789, 4783, 3232, 269, 3962, 3659, 8309, 1269, 2004, 829, 3923, 2509, 519, 1895, 1494, 269, 1403, 9039, 540, 873, 6119, 513, 3409, 1282, 519, 3923, 267, 519, 6394, 7482, 2611, 2150, 31189, 269, 1809, 15475, 1079, 21891, 991, 18203, 1813, 547, 10913, 282, 519, 1895, 1131, 7485, 689, 741, 5916, 2200, 18121, 7742, 264, 547, 3382, 519, 7816, 12014, 909, 547, 519, 8815, 3970, 269, 2311, 25430, 942, 267, 952, 972, 781, 1869, 3063, 2724, 2451, 936, 1310, 9878, 6811, 267, 519, 21045, 4422, 1394, 547, 519, 20334, 8167, 958, 780, 1103, 3932, 267, 623, 273, 303, 6142, 3091, 1896, 5383, 936, 6671, 6142, 2409, 269, 4706, 1445, 593, 2679, 2178, 1514, 4296, 2306, 621, 606, 10694, 4244, 4502, 6236, 269, 5664, 30595, 1796, 547, 4324, 3648, 689, 1565, 827, 5499, 1870, 2035, 899, 623, 273, 303, 6142, 2038, 593, 267, 5807, 7279, 827, 9297, 543, 20835, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1432, 568, 623, 273, 303, 15928, 888, 303, 273, 303, 6142, 267, 2110, 585, 9263, 547, 9263, 6142, 267, 568, 513, 5266, 1007, 1106, 540, 6142, 799, 814, 1500, 922, 1259, 547, 519, 19458, 538, 519, 2919, 2477, 269, 1703, 616, 513, 1297, 540, 4162, 799, 1118, 623, 273, 303, 6142, 1114, 689, 2757, 6142, 269, 2368, 540, 891, 4162, 723, 1044, 7396, 2630, 563, 9558, 10337, 281, 769, 2013, 540, 2757, 6142, 267, 782, 3609, 6868, 4308, 609, 519, 6142, 2754, 593, 513, 835, 3562, 14633, 4493, 269, 901, 1797, 602, 789, 723, 1100, 2601, 547, 4308, 609, 835, 1776, 269, 901, 5012, 547, 4389, 11413, 563, 4913, 267, 538, 2013, 540, 513, 9263, 547, 9263, 6142, 3609, 267, 1004, 945, 917, 1142, 824, 610, 2671, 2147, 4162, 1106, 741, 1378, 1895, 269, 9747, 267, 782, 2818, 917, 1142, 824, 610, 693, 2547, 666, 917, 1142, 824, 269, 901, 5932, 811, 11413, 538, 519, 623, 273, 303, 6142, 2203, 269, 4595, 1004, 945, 917, 1142, 824, 849, 4043, 547, 917, 519, 19824, 543, 1981, 12632, 540, 824, 2147, 2043, 267, 519, 2698, 1981, 9043, 540, 513, 623, 273, 303, 6142, 1895, 11148, 547, 581, 2539, 982, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 15928, 1315, 11485, 10495, 1299, 5004, 1315, 27617, 11485, 5004, 630, 2207, 300, 1040, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 835, 540, 519, 1034, 7524, 4872, 538, 2342, 910, 30912, 256, 29321, 1194, 538, 519, 4190, 3148, 540, 700, 4861, 731, 344, 267, 7977, 267, 713, 14297, 1558, 24227, 568, 1634, 585, 1082, 1919, 267, 1519, 6752, 267, 1686, 267, 1148, 267, 543, 11176, 256, 1809, 1354, 649, 4685, 883, 782, 519, 1187, 8631, 267, 1577, 781, 1174, 1018, 2306, 909, 513, 2749, 899, 30912, 780, 288, 2197, 267, 971, 607, 7977, 267, 666, 723, 1896, 2797, 15523, 1572, 4525, 269, 6056, 540, 891, 607, 2462, 2829, 610, 16899, 1369, 519, 2197, 269, 2290, 971, 3148, 568, 700, 4861, 731, 344, 267, 1141, 596, 786, 1265, 30912, 269, 3767, 267, 1175, 899, 875, 513, 1533, 1522, 2270, 2789, 17521, 610, 13102, 267, 513, 3148, 949, 2874, 540, 4130, 30834, 2888, 1932, 269, 1280, 1383, 267, 30912, 12851, 547, 1945, 1572, 513, 834, 5471, 15844, 2749, 2437, 799, 1797, 621, 5713, 607, 513, 1713, 13398, 585, 16450, 267, 2528, 267, 543, 6214, 1369, 602, 3148, 780, 3086, 4952, 952, 30912, 941, 851, 540, 513, 10315, 1394, 1753, 269, 20944, 621, 286, 4279, 256, 2913, 781, 1451, 811, 827, 945, 8255, 713, 9735, 2749, 780, 1103, 30912, 267, 972, 616, 1079, 1292, 3401, 3743, 585, 1818, 1271, 3664, 7133, 519, 2729, 540, 1004, 2713, 972, 269, 17616, 267, 972, 781, 16902, 2224, 28500, 6428, 320, 267, 945, 6585, 519, 2990, 540, 25650, 1107, 1454, 899, 707, 4884, 781, 25650, 855, 609, 3152, 9021, 2094, 646, 13327, 525, 513, 8273, 1747, 256, 1261, 3096, 1010, 1379, 547, 2327, 602, 3388, 8255, 12347, 267, 689, 21338, 9897, 547, 12180, 1857, 2621, 780, 30772, 267, 2324, 7258, 26302, 6428, 320, 568, 519, 30912, 4975, 7027, 269, 901, 1895, 5161, 540, 2043, 11221, 676, 4961, 23493, 538, 1585, 16973, 2429, 30912, 269, 1358, 960, 1927, 547, 1711, 4031, 543, 4507, 602, 948, 2226, 1931, 543, 2087, 741, 2146, 269, 1411, 1223, 1589, 540, 873, 607, 2147, 547, 707, 2875, 14643, 2818, 693, 1153, 267, 4543, 3025, 1205, 2059, 543, 5466, 2152, 602, 2339, 547, 1053, 780, 4415, 1472, 476, 272, 269, 275, 2929, 7264, 3330, 519, 2749, 7182, 543, 936, 476, 274, 2929, 538, 922, 4478, 2127, 267, 30912, 19646, 3833, 513, 3309, 2551, 256, 2353, 1346, 11570, 991, 2230, 547, 2661, 267, 960, 267, 543, 1404, 269, 2334, 781, 1946, 1620, 875, 29822, 14095, 789, 616, 3587, 1898, 269, 15510, 5860, 4016, 547, 519, 1297, 540, 1004, 30939, 513, 1808, 1858, 269, 769, 30912, 781, 2013, 267, 5111, 476, 278, 267, 4335, 1004, 9468, 1142, 4009, 9481, 518, 269, 1677, 2322, 602, 883, 5133, 267, 4605, 11423, 1169, 10160, 538, 513, 3044, 1164, 1153, 2912, 3218, 1756, 5176, 8938, 2053, 543, 10825, 873, 856, 2066, 513, 2582, 4009, 9481, 518, 269, 2372, 924, 22125 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17737, 269, 31048, 517, 786, 1780, 6263, 7405, 998, 1346, 1651, 2888, 547, 3308, 1047, 543, 7816, 519, 15254, 4815, 576, 548, 269, 7046, 6391, 543, 700, 777, 541, 25646, 6391, 723, 1482, 1967, 2557, 563, 268, 7046, 6391, 281, 276, 7046, 630, 10177, 6463, 6391, 264, 568, 2944, 593, 606, 30229, 4493, 269, 634, 18874, 2356, 3096, 2489, 16562, 17561, 547, 2322, 2550, 547, 3207, 1282, 5650, 269, 589, 27164, 12656, 32050, 531, 1651, 1707, 1131, 581, 1500, 547, 3914, 4299, 15532, 543, 17063, 873, 1055, 689, 519, 1973, 3761, 563, 305, 308, 16576, 12903, 5442, 670, 6865, 302, 292, 8008, 26059, 2975, 29187, 12224, 3036, 22494, 281, 24121, 300, 1446, 267, 24430, 4815, 576, 548, 267, 14203, 1738, 10260, 281, 277, 912, 288, 584, 1421, 11350, 1421, 18287, 1421, 2458, 1421, 8423, 1421, 561, 778, 1421, 11430, 1723, 1421, 24271, 25829, 8573, 1421, 562, 5060, 8686, 558, 1421, 943, 657, 14092, 1421, 10540, 334, 1421, 24421, 1421, 20962, 454, 289, 869, 689, 281, 8121, 301, 1421, 11350, 1790, 1421, 8423, 1421, 24421, 563, 6635, 333, 1421, 18287, 1421, 16087, 8686, 1421, 2458, 1421, 8423, 1421, 561, 778, 1421, 11430, 1723, 1421, 24271, 25829, 8573, 1421, 562, 5060, 8686, 1421, 943, 14092, 1421, 10540, 334, 1421, 24421, 1421, 3623, 1421, 20962, 563, 300, 3201, 292, 10323, 311, 308, 3201, 20219, 23727, 267, 24430, 4815, 576, 548, 281, 280, 454, 288, 935, 1421, 818, 333, 1421, 7542, 337, 14428, 657, 1421, 8423, 1421, 561, 778, 1421, 562, 5060, 8686, 1421, 726, 3518, 1421, 24421, 1421, 678, 25917, 1421, 20962, 563, 300, 3201, 292, 10758, 294, 23177, 267, 570, 12239, 2464, 267, 24430, 4815, 576, 548, 281, 278, 454, 299, 344, 1723, 1421, 818, 333, 1421, 678, 25917, 1421, 7542, 337, 14428, 1421, 554, 2459, 563, 17686, 1421, 7542, 337, 14428, 1421, 1166, 14092, 1421, 554, 2459, 1421, 24421, 563, 268, 670, 4456, 4456, 5085, 3041, 966, 7644, 294, 2562, 32177, 281, 10469, 748, 20316, 267, 688, 13579, 9071, 1137, 267, 15254, 545, 846, 15532, 267, 15319, 1145, 540, 519, 4299, 851, 269, 20450, 593, 25151, 540, 519, 15532, 4929, 11005, 609, 3702, 550, 1266, 5282, 618, 269, 10426, 633, 27625, 688, 13579, 9071, 1137, 689, 1022, 851, 269, 10266, 538, 14203, 1738, 10260, 267, 4881, 547, 519, 1449, 525, 269, 24430, 4815, 576, 548, 267, 1928, 538, 1449, 324, 3380, 269, 2107, 577, 4345, 267, 1449, 2873, 23762, 267, 3905, 543, 11213, 563, 268, 681, 295, 7495, 7495, 2894, 11403, 2177, 281, 10266, 538, 1449, 2873, 267, 8338, 2451, 267, 22224, 267, 11213, 267, 6537, 909, 269, 2107, 577, 4345, 267, 1350, 753, 7959, 16760, 269, 1473, 4851, 543, 11926, 540, 1449, 525, 1310, 16891, 16964, 4141, 320, 563, 268, 11682, 5308, 15771, 3036, 2975, 9331, 8028, 2839, 9331, 281, 13891, 1006, 568, 1360, 6825, 267, 6721, 8401, 25874, 269, 10076, 3181, 1006, 1101, 543, 2168, 3181, 1006, 269, 589, 559, 906, 689, 8650, 3676, 267, 4430, 525, 267, 16236, 267, 2530, 540, 4105, 12862, 269, 12054, 1400, 5738, 10306, 4345, 269, 20351, 1379, 28119, 282, 1449, 2873, 13035, 543, 22224, 269, 1160, 560, 1807, 9071, 4141, 320, 267, 1256, 950, 8429, 2571, 22454, 269, 8278, 22915, 540, 1085, 8527, 636, 563, 268, 623, 8085, 6347, 2316, 299, 6369, 715, 5456, 30278, 23177, 281, 1473, 5344, 1310, 6057, 540, 4401, 9522, 923, 543, 1310, 21354, 7307, 27330, 269, 1473, 5344, 950, 1101, 3978, 15717, 540, 1072, 282, 5219, 547, 519, 2085, 540, 23648, 269, 2107, 577, 4345, 282, 1928, 689, 17737, 547, 1449, 2873, 269, 10266, 543, 4557, 525, 16443, 538, 2712, 3215, 267, 8338, 14084, 593, 1394, 269, 26590, 14382, 22807, 269, 853, 2774, 675, 282, 10729, 5293, 1152, 538, 12772, 563, 268, 12813, 9331, 289, 9331, 631, 4953, 17920, 2975, 9331, 281, 4790, 2774, 633, 14815, 538, 4835, 8219, 269, 13809, 540, 4638, 1379, 269, 4530, 2873, 6537, 16057, 267, 7959, 1526, 24071, 269, 2999, 301, 697, 267, 18289, 269, 3436, 305, 889, 6883, 267, 10434, 2604, 269, 10871, 2213, 8849, 11551, 24074, 267, 8411, 4345, 563, 268, 715, 308, 311, 966, 6865, 32177, 281, 14068, 2360, 540, 4638, 4430, 525, 269, 4790, 2774, 633, 1928, 538, 1449, 2873, 269, 2107, 577, 4345, 269, 31808, 1145, 543, 29338, 269, 590, 11279, 1807, 9071, 4141, 320, 609, 1394, 5995, 563, 25321, 12710, 4785, 12778, 281, 589, 15254, 4815, 576, 548, 568, 519, 1034, 1455, 2014, 540, 26983, 538, 2367, 267, 519, 1198, 540, 513, 15254, 4815, 576, 548, 666, 1205, 8338, 609, 2085, 269, 898, 568, 519, 9402, 8920, 520, 566, 540, 519, 533, 2086, 514, 6134, 533, 2716, 639, 540, 519, 1449, 7781, 15532, 267, 799, 8963, 519, 1449, 2873, 269, 6168, 476, 1704, 2600, 540, 8695, 1063, 519, 6502, 540, 476, 1724, 268, 1839, 1296, 2025, 723, 15254, 4815, 29585, 269, 13067, 4141, 24403, 14319, 899, 10910, 617, 30705, 1258, 267, 623, 6160, 520, 8759, 562, 580, 878, 753, 267, 18729, 636, 8485, 7595, 636, 267, 8621, 14712, 529, 20424, 3821, 267, 814, 1434, 2962, 936, 1449, 7781, 27625, 1266, 5282, 618, 543, 2337, 538, 8156, 519, 15254, 4815, 576, 548, 538, 10708, 6707, 563, 268, 4432, 3467, 808, 300, 267, 25661, 807, 7304, 334, 580, 16066, 267, 24430, 4815, 576, 548, 538, 20390, 30105, 267, 2405, 2675, 1901, 5937, 2607, 338, 1299, 15302, 267, 14529, 8824, 338, 281, 17889, 267, 8734, 476, 1321, 267, 476, 1001, 279, 563, 268, 8431, 340, 3266, 23140, 269, 11022, 267, 24430, 4815, 576, 548, 267, 1855, 839, 10890, 689, 715, 655, 2293, 267, 8866, 10890, 267, 5988, 476, 1001, 278, 563, 268, 19958, 595, 267, 7338, 918, 293, 267, 1744, 4157, 5055, 8121, 267, 1284, 1170, 667, 3570, 267, 24430, 4815, 576, 548, 267, 5753, 779, 11233, 540, 15740, 563, 268, 19958, 595, 267, 918, 20325, 674, 7338, 267, 1744, 4157, 5055, 8121, 267, 1284, 1170, 667, 267, 15486, 543, 12186, 540, 7043, 3856, 966, 1355, 532, 21619, 10818, 267, 24430, 4815, 576, 548, 5240, 543, 5455, 30098, 267, 5181, 476, 1789, 476, 1001, 274, 267, 772, 14347, 22352, 563, 268, 4132, 24430, 4815, 576, 548, 267, 2142, 600, 2632, 454, 268, 32298, 681, 269, 11022, 267, 13067, 4141, 24403, 6481, 1234, 13630, 800, 267, 589, 7073, 22843, 673, 543, 19750, 1234, 13630, 800, 267, 12059, 4860, 2213, 7160, 267, 4095, 9990, 269, 533, 269, 5611, 273, 454, 268, 32181, 518, 18328, 267, 32181, 518, 4425, 523, 940, 13757, 340, 523, 779, 10886, 2065, 543, 1234, 13630, 800, 609, 22043, 539, 2806, 12934, 9911, 267, 6478, 12039, 1299, 774, 3518, 12039, 269, 8525, 1100, 281, 476, 4792, 272, 267, 1715, 7179, 9990, 267, 645, 27454, 23549, 563, 268, 5576, 5797, 839, 674, 269, 31349, 1234, 13630, 800, 267, 19405, 476, 278, 267, 630, 24465, 476, 278, 269, 272, 4528, 1070, 533, 269, 3445, 276, 454, 268, 4425, 20143, 651, 654, 267, 4425, 20143, 651, 779, 1715, 15015, 540, 13067, 4141, 24403, 631, 831, 807, 2405, 3821, 609, 1234, 13630, 800, 267, 12059, 4860, 2213, 543, 4119, 7757, 9990, 9122, 10396, 715, 12764, 9990, 267, 533, 269, 279, 2190, 454, 268, 623, 1002, 752, 590, 10611, 267, 589, 19270, 1047, 1234, 13630, 800, 540, 13067, 4141, 24403, 11955, 267, 22843, 1227, 27336, 6548, 563, 268, 12070, 330, 2581, 25153, 267, 681, 12578, 570, 267, 10228, 18361, 540, 11916, 6925, 267, 3955, 337, 20139, 9990, 267, 476, 1015, 628, 7160, 267, 533, 269, 20981, 268, 4792, 272, 563, 7804, 590, 1690, 329, 611, 715, 553, 597, 454, 13270, 1107, 3487, 594, 267, 4972, 540, 14529, 8824, 338, 2676, 293, 1430, 631, 1638, 518, 13067, 4141, 24403, 454, 21357, 5441, 543, 11233, 2676, 10817, 728, 281, 3220, 808, 344, 9655, 3534, 1744, 643, 777, 6652, 611, 454, 23178, 543, 670, 7495, 267, 14529, 8824, 338, 0, 1103, 519, 9161, 540, 590, 2194, 777, 14508, 519, 9393, 2306, 519, 7385, 3802, 4464, 5722, 3268, 538, 513, 7187, 4287, 269, 901, 16008, 568, 16155, 1271, 607, 1310, 519, 12032, 540, 519, 9161, 267, 519, 7365, 568, 9833, 16155, 2347, 269, 1703, 12898, 789, 7281, 547, 2696, 538, 1931, 547, 1205, 4222, 547, 912, 265, 6452, 558, 680, 880, 1514, 543, 3909, 9021, 563, 265, 9523, 741, 5763, 454, 265, 9523, 8788, 543, 22408, 4900, 540, 1142, 824, 563, 265, 13363, 873, 689, 6612, 267, 10845, 267, 26846, 267, 13613, 543, 24178, 563, 265, 19793, 557, 3020, 18399, 454, 265, 9650, 543, 1560, 1058, 581, 21705, 563, 265, 21813, 585, 8471, 4708, 454, 7628, 713, 9161, 519, 19081, 6585, 1010, 7385, 781, 1318, 1688, 538, 1010, 1318, 1688, 269, 1703, 12898, 646, 536, 1742, 1524, 543, 6585, 519, 1318, 23179, 540, 1010, 7385, 609, 1010, 1318, 1688, 7551, 4543, 1200, 1491, 5722, 3268, 1472, 519, 10723, 3595, 269, 6969, 1142, 1900, 513, 966, 14037, 16051, 571, 568, 973, 1243, 547, 1045, 5803, 519, 25736, 540, 7083, 31155, 20692, 269, 634, 27379, 543, 19081, 5858, 519, 13411, 3595, 5722, 2053, 609, 15174, 540, 741, 23157, 13615, 1927, 269, 3962, 1900, 23327, 513, 1114, 2460, 540, 519, 7365, 563, 1607, 2376, 568, 513, 20839, 269, 1411, 666, 10802, 676, 4946, 811, 1344, 547, 621, 269, 27189, 707, 3503, 5455, 547, 4757, 11333, 2593, 454, 263, 8310, 21213, 593, 2433, 476, 2420, 268, 6734, 268, 1001, 272, 994, 25748, 21213, 15080, 538, 4095, 15215, 454, 27242, 13466, 309, 541, 3534, 3590, 538, 9147, 3127, 2008, 309, 541, 3534, 3590, 538, 9147, 3127, 4646, 519, 2596, 2497, 540, 9699, 2486, 269, 898, 568, 1851, 519, 1158, 779, 9510, 3029, 540, 17005, 1514, 32756, 269, 24430, 3534, 1062, 5258, 519, 2486, 883, 2185, 2101, 6810, 1759, 593, 519, 13567, 540, 519, 1004, 563, 27242, 13466, 301, 611, 541, 595, 4292, 2008, 3080, 540, 519, 1034, 12021, 5641, 525, 540, 20474, 24385, 340, 568, 519, 24385, 541, 22634, 269, 634, 24385, 541, 2146, 568, 513, 7848, 540, 1016, 2275, 770, 525, 543, 5049, 540, 1114, 8129, 267, 799, 3357, 896, 835, 7333, 1676, 540, 24385, 541, 22634, 7930, 563, 27242, 13466, 3519, 1061, 540, 31597, 18712, 2008, 3519, 1061, 540, 31597, 18712, 538, 13225, 698, 822, 611, 717, 7534, 2829, 602, 23347, 2006, 568, 2666, 540, 6228, 543, 782, 19178, 269, 1306, 829, 519, 10417, 540, 31597, 18712, 267, 23347, 2006, 568, 782, 15041, 3630, 1424, 267, 796, 920, 730, 543, 12808, 269, 23347, 2006, 568, 519, 2601, 543, 6662, 540, 782, 602, 6818, 538, 519, 1158, 10756, 27242, 13466, 292, 6123, 540, 966, 770, 340, 2008, 309, 770, 340, 1744, 770, 571, 568, 2757, 4095, 1949, 540, 6189, 23608, 538, 3127, 269, 15689, 540, 966, 770, 340, 616, 3047, 267, 4826, 267, 5794, 267, 6611, 543, 9605, 563, 306, 10620, 568, 519, 7385, 540, 7083, 32251, 543, 519, 9699, 15831, 540, 29281, 21688, 30008, 543, 15325, 269, 2701, 568, 1634, 547, 723, 1799, 565, 730, 9887, 8572, 547, 20496, 28067, 1913, 585, 1200, 9393, 267, 9275, 676, 1200, 4651, 667, 27232, 320, 269, 0, 8624, 517, 1436, 540, 519, 918, 21531, 520, 879, 11866, 676, 623, 338, 665, 30601, 630, 1103, 4167, 320, 1040, 3245, 6478, 23364, 2593, 269, 1496, 308, 329, 2426, 918, 592, 517, 2817, 5244, 543, 918, 21531, 520, 879, 7186, 15944, 267, 12868, 316, 13129, 454, 2467, 616, 1869, 1866, 1519, 7452, 561, 823, 630, 11679, 665, 30601, 264, 799, 2014, 2370, 3441, 547, 6740, 3132, 855, 949, 1831, 513, 31978, 545, 1966, 952, 789, 2049, 538, 1804, 2338, 269, 3245, 6478, 23364, 2593, 269, 1496, 278, 269, 12830, 10860, 538, 4859, 316, 13129, 454, 17357, 549, 4823, 807, 281, 606, 3921, 1400, 2165, 2495, 28594, 1177, 619, 281, 2121, 268, 557, 1441, 610, 13617, 1652, 281, 8260, 756, 3634, 267, 5023, 4646, 585, 28594, 1177, 532, 282, 7004, 18106, 282, 5247, 1314, 18106, 569, 4903, 331, 583, 3990, 281, 815, 623, 338, 665, 30601, 281, 2882, 269, 3245, 6478, 23364, 2593, 269, 1496, 15008, 540, 16301, 13242, 538, 9980, 558, 1108, 316, 13129, 454, 1103, 591, 974, 24260, 13632, 602, 32519, 1306, 322, 3290, 23384, 513, 3099, 540, 12105, 2242, 1519, 943, 1803, 6776, 4720, 3056, 547, 21049, 4567, 267, 9542, 547, 1016, 614, 10328, 1272, 630, 6635, 2033, 2801, 267, 28342, 8113, 23705, 542, 525, 267, 2051, 12661, 19096, 267, 543, 623, 338, 665, 30601, 1070, 1915, 5305, 630, 874, 528, 573, 667, 760, 614, 320, 1070, 543, 4440, 24590, 540, 1899, 1137, 630, 14588, 857, 566, 264, 1369, 519, 6532, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2026, 2038, 607, 519, 3791, 2540, 267, 25448, 2968, 519, 4358, 1448, 585, 519, 1286, 822, 753, 540, 9390, 11031, 971, 607, 519, 5842, 327, 15676, 267, 2098, 698, 537, 320, 267, 570, 12874, 537, 267, 543, 16515, 732, 326, 269, 1452, 10583, 267, 3006, 2112, 3697, 18544, 540, 519, 19300, 4673, 1031, 741, 1702, 540, 519, 2244, 543, 9562, 540, 4342, 1564, 547, 1831, 3407, 1647, 2173, 523, 1063, 519, 1566, 12040, 10470, 540, 3057, 571, 651, 577, 267, 674, 525, 267, 2342, 267, 543, 519, 12357, 26441, 540, 1016, 25781, 4000, 269, 4256, 5230, 2000, 23565, 4342, 1564, 24829, 12308, 267, 6070, 267, 8407, 267, 543, 3574, 267, 15090, 3149, 543, 1603, 1957, 689, 519, 11335, 543, 519, 7395, 327, 516, 321, 547, 5689, 328, 269, 769, 535, 12574, 7033, 321, 4157, 14654, 267, 891, 10475, 21113, 941, 688, 1375, 1194, 267, 4421, 267, 543, 21775, 585, 4154, 267, 16678, 14546, 267, 10437, 267, 32334, 267, 543, 522, 1598, 747, 17207, 563, 293, 1168, 2592, 8580, 584, 909, 519, 11509, 1143, 540, 25448, 811, 982, 513, 4342, 601, 1286, 24170, 538, 519, 9390, 563, 4322, 1279, 23090, 14884, 540, 4342, 1564, 267, 2367, 267, 543, 16782, 4797, 547, 3444, 519, 8781, 5836, 540, 521, 1343, 2394, 519, 2063, 1286, 24170, 8905, 729, 6368, 6806, 1524, 538, 476, 4350, 274, 269, 12846, 267, 519, 9371, 540, 519, 1098, 25781, 1286, 24170, 2729, 593, 538, 519, 9345, 540, 8436, 547, 25448, 2221, 563, 4407, 9758, 1286, 822, 753, 723, 1044, 4389, 547, 2282, 1875, 7721, 14571, 538, 519, 2413, 5736, 267, 519, 2757, 13829, 2390, 4342, 1564, 267, 10564, 1227, 5219, 547, 607, 2048, 306, 4721, 540, 519, 19164, 16224, 814, 711, 21022, 269, 1452, 25836, 581, 6814, 540, 11411, 616, 1869, 4122, 1336, 2429, 519, 3338, 5045, 540, 519, 25304, 15142, 269, 7137, 828, 3885, 689, 3397, 611, 597, 547, 8585, 345, 537, 8615, 7048, 2390, 4342, 1564, 585, 4948, 4247, 2443, 1454, 607, 3885, 538, 519, 2136, 2276, 7048, 4948, 2390, 26873, 269, 589, 28125, 12136, 568, 6705, 267, 22278, 267, 543, 3885, 21945, 609, 513, 1507, 5721, 540, 4342, 1564, 543, 1810, 12399, 547, 519, 12353, 6990, 540, 2098, 698, 7702, 267, 681, 1170, 8643, 267, 543, 8210, 325, 3716, 563, 293, 7056, 625, 689, 3397, 611, 597, 547, 8585, 345, 537, 8615, 7048, 2390, 4342, 1564, 585, 4948, 4247, 2443, 1454, 607, 3885, 538, 519, 2136, 2276, 7048, 4948, 2390, 26873, 563, 288, 2631, 540, 7045, 543, 15832, 14405, 1082, 8436, 547, 3605, 519, 9371, 540, 25448, 779, 676, 3766, 821, 5736, 540, 519, 1286, 24170, 269, 1656, 585, 930, 267, 513, 7552, 547, 25448, 568, 711, 2347, 8259, 789, 723, 678, 5200, 513, 4342, 601, 543, 3786, 539, 9944, 519, 20498, 5182, 23752, 3781, 22839, 540, 519, 19300, 4673, 269, 18641, 267, 621, 568, 2009, 547, 6582, 4342, 601, 1726, 802, 609, 2199, 10274, 689, 8431, 340, 580, 547, 8585, 345, 537, 8615, 547, 2098, 698, 7702, 269, 1452, 15143, 666, 581, 2110, 267, 16074, 9035, 547, 7404, 522, 1162, 610, 6905, 1726, 802, 1739, 519, 5176, 16618, 9390, 28565, 602, 1921, 519, 14252, 2059, 519, 22501, 15943, 540, 519, 19300, 4673, 563, 763, 19300, 4673, 568, 519, 1158, 779, 4102, 3905, 9390, 543, 6227, 476, 276, 267, 6795, 277, 267, 25396, 4009, 5195, 267, 799, 568, 3592, 606, 1858, 607, 1804, 607, 519, 2136, 2276, 269, 25448, 18795, 693, 519, 7187, 1034, 6316, 540, 519, 9390, 267, 543, 814, 1152, 835, 9758, 19300, 15546, 5070, 546, 2317, 1369, 922, 10665, 267, 1572, 8210, 326, 4258, 6277, 328, 269, 901, 5251, 540, 13346, 521, 1343, 568, 25713, 11121, 267, 543, 3340, 7041, 547, 581, 9108, 8268, 269, 2060, 519, 1702, 540, 4274, 2199, 10274, 267, 8436, 616, 2386, 547, 3605, 711, 1175, 519, 14734, 17965, 540, 519, 19300, 4673, 267, 855, 513, 6138, 610, 5133, 540, 1272, 602, 949, 581, 7357, 1007, 547, 873, 563, 289, 539, 537, 514, 512, 757, 666, 581, 1031, 607, 10859, 12656, 2006, 550, 17743, 902, 267, 543, 2356, 723, 1896, 6810, 585, 1114, 3096, 563, 32381, 540, 875, 1279, 513, 31939, 568, 17298, 267, 972, 616, 930, 2596, 3652, 585, 9390, 2951, 602, 1058, 581, 2808, 269, 634, 1101, 4341, 540, 519, 9390, 568, 547, 2760, 7340, 707, 2631, 540, 9644, 269, 634, 1995, 540, 14964, 513, 4342, 601, 585, 519, 1101, 942, 666, 581, 17938, 1791, 908, 543, 3006, 26101, 269, 898, 779, 1271, 547, 14902, 693, 3054, 607, 596, 4188, 547, 519, 14542, 32376, 540, 707, 4342, 601, 256, 16828, 267, 596, 3580, 3605, 602, 707, 4342, 601, 814, 513, 7209, 543, 568, 707, 13959, 267, 711, 1175, 513, 1797, 540, 6283, 269, 6682, 1564, 3006, 1205, 513, 3983, 10639, 267, 855, 952, 596, 1521, 873, 1134, 267, 4342, 1564, 786, 4431, 1134, 547, 596, 563, 23173, 1564, 3006, 1205, 513, 3983, 10639, 267, 855, 952, 596, 1521, 873, 1134, 267, 4342, 1564, 786, 4431, 1134, 547, 596, 563, 763, 1034, 1271, 14555, 585, 9390, 2951, 568, 711, 2168, 267, 607, 621, 568, 711, 8209, 14053, 538, 602, 6073, 269, 4107, 1004, 945, 616, 538, 3339, 2168, 2783, 1058, 581, 2111, 547, 3802, 610, 11878, 513, 4342, 601, 693, 513, 11931, 10605, 609, 1100, 7411, 269, 5221, 519, 9390, 568, 5963, 606, 7045, 2484, 689, 10340, 543, 2413, 7036, 7891, 267, 621, 568, 1271, 585, 596, 547, 581, 5423, 547, 2285, 909, 930, 540, 707, 3232, 635, 325, 2176, 899, 1373, 2111, 547, 17643, 269, 1703, 568, 1100, 5201, 543, 9090, 1100, 2011, 14555, 256, 1411, 3580, 581, 12008, 896, 519, 6801, 610, 538, 513, 17895, 543, 18226, 1472, 513, 3786, 13933, 269, 1879, 596, 2015, 519, 5763, 540, 2833, 543, 1007, 4664, 602, 519, 9390, 8761, 547, 596, 267, 891, 3100, 547, 581, 5266, 24735, 598, 947, 687, 563, 10521, 24949, 5515, 1118, 741, 1259, 998, 519, 9390, 521, 1343, 563, 2005, 6763, 547, 2601, 602, 835, 540, 519, 1034, 859, 25607, 2592, 602, 25448, 949, 3142, 547, 2247, 568, 519, 1286, 822, 753, 540, 2881, 3316, 539, 9930, 6758, 7106, 8960, 883, 519, 16880, 936, 519, 11344, 554, 4240, 546, 17480, 540, 519, 9390, 269, 898, 779, 11052, 602, 814, 1044, 6273, 676, 519, 2250, 267, 585, 25448, 814, 11014, 1044, 513, 3444, 30030, 269, 0, 296, 2899, 10272, 513, 3659, 538, 6917, 12425, 945, 5030, 593, 513, 8265, 609, 1100, 2012, 269, 2701, 1223, 723, 3771, 321, 1819, 519, 1133, 629, 558, 828, 952, 1352, 4941, 547, 269, 901, 1747, 729, 11207, 1055, 519, 7470, 269, 4107, 1004, 945, 4682, 547, 1200, 1753, 8068, 519, 32154, 5784, 543, 519, 10875, 3552, 9640, 602, 7086, 25660, 676, 2899, 538, 513, 1247, 269, 594, 8068, 1200, 16003, 269, 898, 729, 711, 513, 16003, 594, 1185, 2479, 2938, 1354, 269, 898, 729, 607, 3039, 607, 513, 16003, 666, 1205, 269, 634, 2497, 3294, 6743, 899, 513, 3339, 16003, 269, 1809, 972, 729, 1100, 1216, 547, 6952, 707, 1870, 269, 1677, 850, 339, 1957, 729, 2139, 267, 855, 711, 547, 581, 1166, 19813, 269, 1411, 28520, 621, 2476, 538, 513, 15739, 564, 19348, 11127, 538, 519, 7944, 269, 769, 1249, 267, 4986, 1223, 581, 1166, 19813, 269, 1703, 941, 17494, 7996, 693, 519, 5377, 540, 519, 16003, 547, 7558, 519, 3653, 563, 6546, 267, 1004, 267, 568, 2469, 3039, 269, 22582, 267, 1250, 11348, 538, 9657, 14614, 23691, 543, 2921, 23431, 11435, 547, 519, 17365, 4558, 630, 2865, 540, 519, 942, 264, 8604, 1273, 4854, 563, 2791, 798, 711, 723, 547, 581, 865, 3665, 607, 1250, 2067, 543, 476, 1911, 2600, 5214, 3659, 269, 1411, 666, 1832, 707, 2413, 11255, 21818, 543, 1869, 1118, 513, 3017, 269, 3371, 616, 513, 1906, 2081, 547, 1118, 2386, 707, 1753, 568, 3039, 912, 268, 22352, 707, 14233, 269, 6733, 585, 606, 1648, 5182, 12773, 269, 2334, 12773, 1797, 707, 11067, 3684, 267, 21067, 610, 8670, 13195, 615, 568, 1210, 1648, 7561, 267, 4758, 519, 1604, 513, 1688, 543, 9494, 596, 930, 2724, 593, 5201, 563, 268, 7827, 707, 1769, 15620, 269, 6496, 4896, 946, 1651, 663, 27853, 1769, 15620, 15042, 286, 898, 779, 2653, 547, 6467, 547, 741, 24638, 30980, 267, 543, 596, 786, 1205, 513, 2603, 811, 946, 856, 540, 621, 269, 4340, 547, 519, 5313, 2229, 267, 952, 1169, 1977, 7622, 4957, 1175, 835, 1769, 15941, 538, 741, 1753, 547, 513, 11741, 24638, 1769, 267, 649, 1223, 2061, 476, 280, 5479, 6550, 540, 8511, 3154, 689, 29400, 883, 938, 1604, 538, 513, 1032, 563, 268, 2142, 695, 8014, 269, 3619, 6619, 543, 2030, 930, 4054, 547, 3142, 930, 8323, 538, 519, 4832, 3275, 269, 898, 786, 1611, 1447, 2011, 14555, 267, 799, 519, 3618, 543, 707, 6578, 786, 5660, 563, 268, 5192, 1970, 269, 2422, 1970, 2095, 17643, 21650, 543, 31316, 1115, 269, 901, 786, 2759, 1524, 593, 519, 2179, 540, 1216, 596, 946, 1510, 27531, 1216, 2604, 563, 268, 29799, 707, 2973, 619, 269, 2422, 3618, 7888, 2472, 602, 723, 1447, 6464, 543, 13802, 982, 519, 7082, 5370, 596, 723, 4440, 1044, 1210, 269, 1358, 960, 1175, 607, 1134, 267, 543, 789, 616, 10930, 585, 596, 543, 707, 1920, 563, 7883, 532, 3039, 1281, 711, 723, 547, 581, 7294, 269, 5269, 1507, 2242, 547, 707, 6197, 602, 786, 4166, 1831, 6208, 267, 543, 596, 786, 4166, 581, 593, 707, 1259, 547, 9494, 2724, 543, 9494, 519, 3618, 689, 513, 2370, 3063, 3327, 3977, 602, 621, 1281, 711, 991, 269, 1403, 596, 616, 4867, 3168, 585, 513, 1007, 1753, 267, 9140, 3039, 666, 723, 1082, 2640, 269, 10925, 1927, 513, 24920, 585, 707, 1753, 8524, 528, 1354, 596, 4444, 267, 543, 1118, 2386, 602, 1592, 2882, 1648, 4398, 543, 13471, 269, 0, 8698, 9980, 790, 14635, 454, 3528, 11916, 13445, 454, 30048, 1107, 14400, 476, 1001, 273, 454, 31306, 540, 16711, 19541, 454, 29587, 23299, 910, 12096, 476, 1001, 272, 454, 14813, 1663, 27833, 910, 15604, 476, 1001, 272, 454, 301, 2720, 532, 15979, 910, 12096, 476, 1001, 272, 454, 9199, 6373, 910, 12096, 476, 1001, 271, 454, 9199, 9964, 11020, 28864, 910, 12096, 476, 1001, 271, 454, 31880, 1749, 1299, 5082, 26299, 5052, 454, 300, 2177, 31165, 267, 2904, 476, 274, 630, 10890, 21196, 5240, 264, 4534, 5753, 543, 10708, 4171, 3237, 723, 13119, 543, 3677, 22765, 543, 12048, 18592, 616, 693, 2799, 1981, 540, 2348, 9633, 539, 13119, 267, 11021, 519, 991, 585, 5605, 17419, 1973, 2604, 5464, 3544, 519, 4387, 781, 5604, 267, 2687, 547, 1382, 4843, 693, 519, 1977, 5980, 540, 15214, 11364, 781, 476, 1839, 628, 16316, 11660, 20051, 543, 1401, 6570, 267, 4371, 689, 2904, 476, 272, 547, 476, 275, 538, 1715, 3840, 4975, 563, 1103, 513, 17053, 1353, 267, 19863, 807, 12756, 6428, 326, 5964, 267, 631, 6185, 1421, 540, 519, 8549, 2160, 540, 3619, 328, 27222, 538, 8478, 267, 543, 9164, 11117, 476, 4200, 1453, 543, 10708, 267, 9907, 476, 276, 547, 476, 1428, 1296, 267, 585, 1920, 1973, 2604, 1686, 267, 2597, 267, 4463, 267, 1560, 2527, 4994, 267, 543, 22765, 543, 12048, 18592, 269, 1358, 9916, 476, 11025, 2550, 4171, 5604, 1973, 2604, 729, 2630, 519, 476, 4817, 628, 30878, 563, 763, 3173, 1336, 602, 476, 3583, 1185, 3339, 1973, 2604, 630, 283, 3445, 628, 30878, 264, 543, 476, 1321, 941, 840, 268, 1506, 13630, 2400, 630, 285, 3445, 628, 543, 2999, 4817, 628, 30878, 1040, 3414, 5605, 17419, 1973, 2604, 5464, 3544, 519, 4387, 781, 5604, 267, 476, 1015, 941, 8995, 609, 9633, 539, 13119, 269, 5753, 540, 3237, 609, 13119, 1185, 811, 982, 513, 2185, 24670, 2799, 1981, 540, 9633, 539, 13119, 267, 543, 1453, 540, 3237, 609, 13119, 543, 14159, 8377, 1185, 513, 8370, 24670, 2799, 1981, 563, 10454, 1453, 1336, 547, 581, 29998, 2400, 609, 5605, 17419, 1973, 2604, 5464, 941, 711, 1256, 538, 513, 840, 268, 1506, 13630, 2400, 1533, 538, 519, 4387, 781, 5604, 269, 4256, 1973, 2604, 729, 3339, 2437, 6428, 326, 5964, 1767, 538, 513, 3948, 269, 834, 763, 1249, 602, 519, 1973, 2604, 3928, 585, 891, 2550, 15583, 730, 865, 3648, 568, 24034, 543, 11562, 1218, 3007, 267, 952, 3606, 1239, 6166, 891, 4681, 4799, 14294, 909, 585, 938, 1863, 679, 31974, 24393, 547, 3251, 909, 3562, 15082, 538, 707, 1858, 540, 2259, 910, 610, 1491, 513, 1413, 693, 606, 21287, 540, 1991, 2152, 454, 18794, 938, 595, 2464, 11232, 1982, 547, 7118, 909, 547, 476, 1911 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2171, 1451, 875, 547, 4766, 519, 2990, 543, 10066, 540, 3615, 593, 513, 476, 273, 8820, 7077, 269, 1284, 6338, 519, 10206, 540, 4704, 14604, 607, 513, 4493, 585, 10503, 519, 2990, 540, 3615, 538, 1079, 7516, 563, 15507, 11778, 585, 281, 11282, 7406, 454, 763, 1480, 3750, 568, 3833, 5863, 267, 1577, 779, 1413, 693, 922, 1585, 3334, 1519, 519, 1769, 6213, 11425, 543, 13409, 2281, 563, 763, 1439, 13716, 528, 568, 711, 2111, 547, 1847, 8449, 3728, 538, 782, 8846, 267, 543, 602, 538, 1249, 5673, 593, 519, 10460, 540, 519, 8773, 269, 1284, 786, 6338, 519, 6991, 31753, 547, 9414, 713, 563, 1607, 3381, 9034, 2478, 519, 1271, 2798, 689, 713, 4487, 5035, 563, 2171, 9192, 1018, 649, 4076, 19927, 827, 12347, 8795, 2990, 543, 10066, 547, 1711, 12347, 8795, 10460, 267, 1419, 1572, 31951, 31992, 563, 2171, 1451, 547, 12337, 513, 18330, 602, 3322, 21800, 5347, 5163, 540, 1082, 8773, 10549, 269, 0, 763, 661, 4471, 22575, 1107, 8249, 12232, 693, 519, 1715, 3840, 3557, 7732, 630, 19986, 14373, 994, 14630, 281, 13723, 267, 5239, 476, 2767, 267, 476, 1708, 272, 454, 11742, 281, 476, 1556, 281, 876, 600, 1107, 476, 1321, 281, 876, 10975, 454, 8802, 626, 1674, 13017, 281, 4179, 2517, 639, 6187, 19986, 269, 345, 7112, 30994, 270, 19986, 14373, 270, 2958, 3563, 270, 310, 301, 318, 271, 322, 277, 292, 344, 309, 306, 344, 304, 271, 4753, 296, 273, 313, 295, 275, 335, 280, 299, 337, 342, 454, 763, 661, 4471, 22575, 568, 835, 540, 519, 1034, 1271, 1568, 540, 3540, 4702, 543, 4070, 538, 3345, 3013, 269, 634, 1715, 3840, 3557, 7732, 814, 513, 2647, 3099, 540, 3119, 2707, 6054, 543, 3370, 2326, 593, 519, 661, 4471, 22575, 8151, 689, 519, 4070, 543, 5826, 540, 519, 22575, 547, 1272, 593, 519, 22575, 269, 18947, 20157, 12579, 5153, 7315, 773, 4446, 21884, 543, 10906, 32021, 889, 22603, 786, 1459, 606, 7650, 543, 8711, 540, 519, 7732, 779, 4015, 1519, 7851, 267, 2575, 267, 2592, 267, 3376, 338, 1938, 267, 1019, 2456, 267, 4031, 1299, 6042, 267, 13746, 267, 2835, 267, 543, 12924, 306, 8116, 5359, 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 ]
[ 707, 6371, 952, 6854, 896, 1852, 267, 543, 2337, 547, 1832, 1022, 4783, 540, 519, 7904, 553, 1272, 689, 10024, 707, 1753, 593, 513, 4620, 610, 513, 21489, 563, 21093, 2659, 5682, 5264, 27973, 585, 15604, 454, 8505, 4379, 568, 606, 5140, 942, 547, 5965, 707, 8511, 585, 519, 16042, 5162, 3275, 269, 594, 899, 547, 2285, 1250, 8511, 513, 9488, 7738, 693, 713, 942, 540, 519, 1032, 269, 5901, 707, 4837, 31394, 2973, 676, 1210, 835, 540, 519, 7738, 2472, 2966, 547, 8936, 547, 519, 4677, 25652, 269, 1080, 2656, 543, 2653, 547, 798, 519, 8511, 3330, 543, 856, 269, 670, 846, 1524, 1022, 2371, 585, 10860, 2059, 609, 30694, 17428, 865, 789, 3513, 581, 2973, 950, 596, 1616, 547, 946, 873, 269, 1234, 12860, 4666, 2371, 610, 27191, 883, 519, 4677, 610, 11003, 269, 1234, 12860, 3037, 1141, 5452, 10093, 1405, 17708, 1540, 543, 10891, 782, 707, 2645, 543, 17428, 269, 5410, 18908, 19745, 27961, 267, 4874, 21666, 622, 610, 5068, 8440, 607, 3063, 13471, 593, 707, 8511, 6821, 269, 1403, 596, 1810, 1405, 2907, 723, 513, 8143, 12094, 1225, 1555, 269, 29264, 11449, 835, 269, 898, 3513, 4688, 596, 5111, 476, 736, 260, 593, 3002, 2530, 267, 1818, 621, 513, 26656, 5092, 269, 17006, 513, 1804, 4158, 11954, 8708, 4904, 609, 1216, 786, 957, 607, 513, 3002, 16173, 267, 20808, 811, 3002, 4398, 269, 4530, 707, 8022, 1062, 267, 2436, 621, 568, 5122, 267, 3154, 610, 4412, 2033, 267, 4180, 621, 568, 782, 1305, 543, 4712, 547, 979, 269, 9861, 6896, 6619, 540, 942, 568, 1434, 585, 1312, 596, 543, 707, 2371, 267, 3850, 596, 513, 6899, 18956, 1100, 2339, 1018, 519, 4365, 568, 3544, 2336, 763, 3032, 781, 856, 540, 519, 9126, 256, 1284, 616, 1100, 3476, 2220, 1941, 547, 9658, 1097, 269, 1284, 1185, 13859, 513, 2754, 538, 6489, 7717, 267, 14411, 267, 3600, 1503, 629, 13456, 269, 609, 835, 540, 938, 3039, 17346, 269, 901, 3923, 789, 786, 581, 16459, 513, 2034, 8511, 585, 4152, 269, 3600, 1503, 629, 814, 1175, 31601, 513, 1184, 602, 3096, 6923, 10920, 19397, 3762, 543, 824, 29322, 547, 3002, 3039, 17346, 267, 4397, 547, 4688, 8511, 25210, 6634, 540, 9489, 269, 1323, 2376, 7902, 538, 634, 6489, 7717, 10060, 593, 4864, 476, 1789, 267, 476, 1220, 272, 267, 2854, 676, 6004, 269, 7585, 2725, 9807, 267, 10060, 6355, 3115, 7163, 269, 634, 2070, 713, 2376, 267, 4945, 593, 519, 2140, 2630, 563, 31282, 909, 519, 3002, 267, 6923, 454, 288, 2820, 269, 540, 661, 3712, 611, 15278, 0, 268, 5211, 681, 958, 454, 268, 6168, 2974, 454, 763, 30540, 4826, 267, 30540, 6052, 5816, 2488, 519, 5767, 3377, 267, 2200, 543, 2079, 593, 1216, 267, 1648, 267, 543, 2916, 1689, 2152, 609, 606, 8561, 593, 519, 538, 2169, 878, 762, 4296, 1063, 1216, 543, 1648, 267, 849, 917, 607, 519, 4826, 268, 21328, 715, 1410, 639, 563, 763, 17335, 10345, 5816, 568, 3812, 676, 3004, 6665, 2274, 760, 345, 580, 267, 5211, 8416, 781, 23117, 267, 6052, 1299, 8693, 5358, 18509, 13541, 563, 23086, 3004, 6665, 2047, 609, 2055, 267, 8292, 610, 1007, 1344, 547, 2671, 2336, 5978, 16890, 616, 930, 540, 519, 5100, 652, 267, 18854, 2906, 339, 543, 1034, 4277, 1004, 649, 917, 1862, 663, 649, 2811, 711, 1175, 6031, 602, 269, 6744, 856, 1018, 930, 540, 873, 723, 547, 2161, 3842, 741, 21075, 563, 763, 2475, 4972, 540, 6052, 814, 9783, 513, 1867, 547, 18322, 602, 7710, 513, 1297, 540, 2994, 547, 2569, 519, 1216, 4616, 540, 23622, 3859, 1379, 630, 5425, 303, 264, 5201, 5108, 267, 513, 9621, 7791, 1648, 4781, 602, 949, 15186, 2333, 1216, 7569, 538, 930, 540, 519, 2197, 781, 1034, 25545, 4525, 563, 763, 1867, 267, 3819, 569, 11331, 630, 7224, 5309, 5497, 264, 24517, 7992, 9891, 5295, 20497, 13335, 5530, 281, 26805, 4826, 29283, 540, 24517, 7992, 9891, 5295, 24542, 19087, 630, 14457, 1070, 729, 3370, 676, 519, 11298, 292, 779, 8433, 540, 6052, 21252, 543, 24997, 6052, 713, 1032, 269, 898, 5654, 693, 513, 2039, 540, 595, 9915, 4066, 1107, 1519, 1612, 20326, 512, 893, 338, 267, 5276, 674, 637, 6773, 2992, 832, 267, 1379, 20610, 543, 8670, 270, 19956, 1949, 1107, 543, 19776, 519, 1216, 4616, 267, 1648, 2530, 543, 3854, 3790, 540, 2139, 9023, 4066, 630, 322, 944, 532, 568, 519, 1034, 1216, 25673, 1184, 540, 595, 9915, 1040, 1306, 519, 1867, 6257, 972, 616, 513, 1297, 540, 4123, 26160, 2404, 609, 811, 1216, 18026, 9023, 3157, 912, 2026, 609, 8093, 543, 6046, 1379, 2371, 267, 1216, 9023, 568, 3622, 811, 22237, 982, 2011, 9023, 585, 595, 9915, 2371, 1317, 1216, 9023, 814, 513, 2539, 3854, 1942, 543, 2362, 8143, 4398, 267, 543, 621, 15387, 922, 5812, 4398, 2157, 1032, 15778, 269, 769, 4334, 267, 2011, 9023, 814, 4389, 7145, 950, 519, 2011, 2837, 568, 1164, 269, 769, 519, 1699, 5010, 595, 9915, 2371, 267, 1216, 568, 2838, 547, 7873, 1619, 9252, 267, 1683, 1118, 5346, 1216, 585, 519, 9252, 4783, 267, 543, 585, 11604, 11067, 269, 634, 4525, 1141, 595, 9915, 568, 1034, 2500, 616, 1346, 602, 723, 1082, 3108, 540, 1463, 7943, 282, 891, 4025, 1419, 723, 5266, 2370, 1216, 269, 4675, 2391, 1216, 689, 811, 11397, 2959, 610, 1625, 4328, 1970, 2298, 1216, 585, 595, 9915, 1949, 602, 946, 6671, 1216, 9023, 666, 1287, 2333, 3790, 269, 901, 1867, 11828, 1585, 3681, 676, 799, 595, 9915, 1949, 666, 7500, 7561, 609, 3648, 1447, 1216, 4616, 982, 789, 8532, 2221, 563, 763, 5354, 540, 1007, 8093, 1379, 2371, 946, 18493, 894, 1216, 9023, 547, 7947, 519, 9252, 12860, 3002, 269, 589, 6093, 5755, 2030, 610, 6046, 2030, 27499, 476, 4335, 17529, 540, 1216, 829, 631, 263, 6549, 19072, 2662, 264, 540, 5201, 6383, 269, 901, 568, 2147, 547, 519, 1216, 4616, 676, 513, 1379, 13486, 269, 589, 5916, 268, 12860, 2067, 3154, 2030, 27499, 827, 476, 1220, 7523, 19072, 2662, 269, 589, 1216, 2275, 944, 539, 1612, 20326, 512, 893, 2030, 27499, 827, 476, 8517, 7523, 19072, 2662, 269, 2986, 713, 267, 476, 273, 260, 568, 946, 1721, 11604, 11067, 269, 667, 880, 270, 19956, 1949, 1152, 2154, 1216, 585, 11604, 11067, 630, 32191, 476, 736, 7523, 19072, 2662, 994, 2414, 2232, 1216, 7687, 543, 2825, 6042, 267, 2011, 9023, 666, 581, 1031, 585, 1007, 5687, 29090, 1379, 2371, 267, 799, 23352, 936, 476, 3445, 260, 540, 1216, 6165, 269, 634, 6093, 3819, 2275, 944, 539, 1379, 2030, 11507, 17081, 9688, 9252, 2047, 547, 1710, 2740, 13740, 593, 2011, 2275, 944, 539, 7873, 839, 832, 269, 589, 1353, 540, 513, 3819, 2275, 944, 539, 1612, 20326, 512, 893, 2030, 4092, 538, 519, 7720, 329, 1511, 19164, 11943, 602, 3819, 9023, 1131, 1683, 476, 276, 260, 1447, 3167, 1648, 593, 606, 5993, 4493, 543, 2333, 519, 1942, 540, 3812, 5201, 676, 476, 278, 547, 476, 280, 10065, 1717, 267, 519, 2164, 616, 4087, 1808, 269, 1280, 1383, 267, 2011, 9023, 693, 513, 3135, 538, 1715, 6792, 1131, 2333, 519, 1942, 540, 5201, 676, 1152, 476, 273, 260, 1317, 5021, 24817, 5210, 616, 9645, 2539, 972, 982, 538, 519, 7720, 329, 1511, 19164, 563, 2414, 4647, 519, 2407, 1867, 3643, 281, 24517, 7992, 9891, 5295, 20497, 13335, 5530, 281, 26805, 4826, 29283, 540, 24517, 7992, 9891, 5295, 24542, 19087, 630, 14457, 264, 0, 296, 1087, 826, 476, 277, 267, 4873, 476, 274, 267, 476, 1001, 274, 454, 307, 7469, 27444, 568, 513, 16507, 12593, 1369, 1306, 1260, 26338, 26347, 602, 3468, 338, 3875, 25798, 543, 4829, 4054, 269, 570, 7469, 27444, 13596, 8853, 538, 3579, 267, 6632, 4365, 267, 543, 4470, 593, 519, 2030, 2249, 267, 666, 2014, 2589, 971, 607, 6978, 1225, 3149, 267, 28338, 267, 6565, 5884, 3724, 267, 543, 4829, 22636, 269, 570, 7469, 27444, 24094, 269, 786, 7670, 5793, 538, 513, 13803, 6438, 3942, 593, 519, 13626, 267, 2282, 19512, 269, 1403, 4365, 2175, 616, 4998, 538, 519, 5614, 267, 607, 789, 723, 1044, 713, 1032, 267, 891, 16507, 13596, 786, 3533, 3468, 3762, 607, 519, 19512, 2736, 269, 634, 3968, 786, 3356, 543, 5555, 2014, 1225, 1782, 610, 1025, 3563, 6438, 2589, 269, 2368, 540, 519, 4122, 2938, 570, 7469, 27444, 24094, 269, 666, 2014, 6978, 6749, 267, 855, 607, 519, 4365, 2112, 916, 543, 1743, 625, 267, 519, 3529, 1058, 1201, 565, 5573, 269, 901, 1007, 23574, 540, 3762, 1058, 581, 4761, 547, 10956, 5563, 269, 570, 7469, 27444, 24094, 269, 666, 2482, 26862, 585, 1896, 1296, 2394, 519, 3501, 4365, 2175, 2049, 547, 16578, 513, 5230, 3968, 269, 570, 7469, 27444, 568, 849, 4277, 538, 519, 1249, 602, 1142, 540, 922, 2249, 568, 3984, 1808, 269, 12989, 616, 930, 4122, 2938, 570, 7469, 27444, 3676, 538, 13325, 563, 303, 1075, 651, 1042, 543, 25302, 3762, 8984, 540, 3212, 778, 23516, 4354, 331, 3361, 676, 570, 7469, 27444, 22775, 753, 454, 299, 525, 687, 8984, 540, 18718, 23516, 2349, 3563, 3361, 676, 570, 7469, 27444, 1309, 518, 2737, 322, 839, 454, 18850, 9285, 267, 24609, 539, 726, 4548, 15877, 513, 6149, 3361, 676, 1773, 636, 623, 20449, 630, 307, 7469, 27444, 929, 27376, 994, 1103, 1840, 547, 891, 1614, 3676, 267, 649, 723, 849, 1044, 11287, 570, 7469, 27444, 6978, 1025, 3563, 540, 25308, 267, 799, 568, 9425, 267, 16613, 538, 13325, 269, 1280, 811, 1344, 593, 570, 7469, 27444, 6978, 1025, 3563, 267, 596, 666, 3277, 547, 519, 3105, 5851, 267, 962, 731, 267, 543, 12567, 5240, 12072, 2376, 563, 6944, 13764, 570, 7469, 27444, 3968, 593, 4054, 568, 782, 827, 7041, 543, 12557, 269, 19805, 21221, 8677, 543, 1434, 18309, 2259, 666, 581, 5363, 267, 607, 621, 568, 2352, 547, 1683, 2347, 10936, 4027, 547, 1804, 10053, 4054, 269, 16792, 9033, 8336, 693, 519, 1697, 2053, 267, 971, 607, 1175, 1354, 5229, 2736, 267, 666, 1683, 930, 1454, 2877, 4027, 689, 570, 7469, 27444, 3676, 269, 1717, 267, 2899, 3968, 3217, 1747, 267, 713, 17343, 666, 1100, 3476, 581, 6417, 269, 2368, 824, 5227, 2994, 616, 7311, 9436, 547, 3895, 1007, 6978, 2208, 267, 14450, 547, 2569, 10980, 2566, 267, 543, 30034, 4829, 547, 2569, 3747, 593, 6967, 3762, 269, 4014, 891, 3676, 786, 2014, 10151, 5667, 697, 17349, 543, 6556, 2530, 267, 519, 1434, 3377, 568, 891, 570, 7469, 27444, 3676, 5018, 1657, 616, 711, 1634, 547, 2014, 3529, 2669, 269, 630, 3721, 7315, 773, 623, 7163, 543, 22956, 2398, 644, 327, 558, 1889, 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 ]
[ 865, 676, 3257, 4986, 269, 19162, 2961, 571, 3118, 779, 12809, 2470, 5012, 547, 519, 1082, 32657, 2355, 538, 519, 3209, 267, 799, 17613, 519, 2856, 602, 711, 1373, 9409, 1281, 711, 8209, 1118, 2576, 513, 1434, 1268, 269, 968, 296, 6557, 20916, 547, 15395, 782, 9794, 906, 892, 630, 272, 264, 19162, 2829, 693, 519, 4098, 540, 519, 3209, 267, 799, 14678, 5036, 909, 1010, 1780, 2032, 269, 3571, 1780, 4369, 31168, 8374, 2038, 593, 267, 971, 607, 950, 8751, 3217, 19162, 547, 2743, 3733, 337, 1479, 538, 5728, 269, 19162, 16776, 2059, 1317, 646, 968, 17495, 4986, 1732, 547, 798, 892, 630, 2190, 264, 543, 4667, 547, 723, 2370, 4018, 916, 827, 519, 1249, 602, 8751, 568, 32533, 593, 30751, 16175, 563, 11900, 18944, 676, 1010, 1378, 1570, 2065, 267, 1582, 1673, 652, 10614, 1272, 267, 2278, 674, 269, 8845, 32684, 267, 538, 1010, 9565, 3209, 634, 4279, 30056, 267, 8308, 10404, 3278, 519, 1642, 4288, 540, 519, 1977, 6530, 540, 1967, 538, 476, 4572, 271, 338, 3013, 910, 607, 1134, 607, 519, 1459, 1554, 910, 13031, 519, 1629, 7394, 1944, 5790, 540, 14413, 638, 2329, 543, 5821, 538, 13197, 606, 11389, 778, 762, 6662, 267, 1247, 27283, 519, 6456, 6855, 540, 3765, 2044, 713, 3361, 1851, 519, 1977, 1004, 910, 7303, 741, 454, 293, 3757, 1723, 529, 519, 4469, 2089, 656, 779, 4583, 512, 13550, 540, 519, 19901, 602, 11751, 519, 4229, 540, 20121, 514, 741, 3803, 8792, 269, 1452, 8941, 543, 562, 27197, 19317, 811, 596, 723, 4121, 689, 707, 3689, 5426, 269, 1452, 616, 711, 2984, 540, 519, 25569, 32445, 269, 901, 568, 689, 519, 942, 1354, 267, 540, 519, 20339, 602, 9788, 513, 2386, 5748, 2390, 799, 519, 32445, 3710, 269, 24079, 540, 519, 13491, 3294, 267, 855, 513, 9661, 585, 519, 6505, 1554, 267, 607, 519, 4158, 14692, 26106, 802, 621, 779, 19114, 543, 519, 24761, 4856, 5090, 528, 814, 21687, 782, 855, 741, 4408, 563, 763, 1977, 14134, 568, 835, 779, 2856, 540, 513, 1732, 1272, 269, 769, 834, 288, 681, 9820, 514, 538, 519, 6129, 257, 676, 31240, 9627, 17713, 9440, 543, 18999, 8725, 24806, 538, 968, 4131, 3013, 2142, 3013, 11088, 5608, 519, 9030, 10862, 568, 519, 3013, 14134, 267, 1142, 540, 713, 4589, 814, 741, 2123, 1523, 540, 1018, 568, 2015, 547, 581, 513, 1732, 1272, 543, 519, 521, 604, 333, 881, 766, 540, 9909, 7488, 540, 519, 3309, 11566, 9620, 540, 1272, 269, 4014, 538, 1977, 9177, 649, 4043, 547, 2070, 519, 1977, 14134, 607, 513, 2318, 543, 2556, 3804, 540, 15114, 267, 1312, 700, 13034, 753, 9440, 543, 700, 13034, 1872, 1127, 2263, 519, 14810, 543, 519, 4641, 602, 6770, 3843, 547, 21287, 606, 12492, 762, 3804, 563, 4407, 1346, 538, 519, 13683, 625, 1522, 723, 1044, 12592, 676, 2648, 543, 519, 7287, 585, 1158, 4708, 267, 519, 1985, 5108, 729, 9141, 676, 519, 14000, 585, 1379, 543, 2648, 267, 519, 2648, 540, 2724, 269, 968, 294, 7517, 568, 1434, 267, 26846, 538, 782, 922, 3029, 814, 6825, 519, 16057, 10006, 540, 18495, 1848, 23583, 717, 2131, 14150, 267, 9931, 9335, 269, 1325, 2431, 267, 646, 949, 711, 581, 513, 1483, 1480, 454, 2108, 24618, 2488, 2614, 547, 14183, 1169, 812, 1412, 338, 2115, 267, 855, 711, 1169, 812, 1412, 338, 26846, 1848, 1306, 3425, 267, 649, 960, 2182, 538, 1931, 547, 723, 519, 6574, 4316, 547, 8011, 538, 1272, 267, 799, 786, 11886, 938, 6499, 269, 674, 8845, 32684, 267, 2278, 540, 634, 4279, 30056, 267, 18252, 2500, 1893, 543, 18685, 538, 519, 1257, 267, 799, 2337, 1864, 9585, 1010, 3483, 281, 16503, 3433, 1018, 1570, 5370, 1281, 547, 513, 2486, 269, 3245, 513, 17720, 29459, 267, 6313, 27291, 267, 31672, 267, 543, 2619, 657, 267, 713, 3209, 5713, 607, 513, 1514, 16555, 593, 875, 519, 13287, 540, 968, 763, 1977, 14134, 892, 3123, 519, 1004, 538, 2486, 547, 2981, 883, 6067, 9037, 543, 2295, 1652, 2043, 269, 634, 4279, 30056, 568, 513, 3209, 1936, 730, 676, 19162, 2961, 12537, 267, 945, 7475, 909, 1373, 20289, 30056, 779, 3020, 19157, 3659, 269, 20289, 30056, 568, 606, 454, 763, 1977, 14134, 568, 519, 4998, 602, 952, 835, 1568, 2182, 267, 646, 610, 1352, 786, 2744, 1967, 543, 10653, 538, 1272, 269, 9122, 593, 1082, 4093, 540, 519, 1977, 14134, 267, 835, 1412, 338, 5326, 568, 1419, 1360, 2123, 543, 16148, 269, 769, 674, 269, 8845, 32684, 779, 476, 4572, 276, 1977, 3209, 267, 634, 4279, 30056, 267, 646, 18252, 519, 3039, 1769, 267, 519, 9503, 540, 1306, 1127, 267, 543, 519, 4064, 540, 3220, 269, 570, 12282, 269, 661, 1188, 548, 7921, 547, 9446, 519, 3844, 6249, 540, 519, 4126, 543, 27945, 1145, 540, 519, 1977, 14134, 269, 769, 1010, 3209, 267, 674, 269, 8845, 32684, 2982, 875, 519, 1977, 14134, 666, 581, 24276, 543, 2123, 998, 9001, 519, 3039, 1769, 269, 769, 519, 476, 4489, 271, 338, 543, 476, 4572, 271, 338, 267, 2699, 25984, 6808, 8279, 1185, 1101, 13175, 547, 581, 8704, 538, 519, 2136, 2276, 563, 4322, 616, 519, 1004, 602, 786, 581, 3362, 6766, 676, 519, 2229, 269, 1403, 519, 2229, 6811, 1945, 543, 19758, 621, 909, 609, 513, 1906, 5013, 543, 513, 2898, 19619, 540, 6013, 267, 8458, 616, 267, 519, 1857, 786, 711, 21898, 547, 2638, 909, 593, 621, 543, 1489, 519, 2229, 779, 6811, 269, 2334, 949, 581, 15502, 267, 855, 952, 519, 6837, 3085, 1406, 1256, 1224, 8499, 3388, 789, 616, 19142, 1055, 593, 267, 945, 568, 547, 2161, 602, 1018, 789, 616, 3257, 568, 1434, 585, 519, 2197, 610, 1256, 5205, 519, 9139, 286, 18227, 519, 1857, 267, 543, 3006, 1256, 519, 6837, 267, 17399, 656, 568, 513, 1390, 1259, 547, 1832, 873, 8087, 543, 693, 4708, 269, 968, 2171, 917, 811, 982, 649, 1705, 1079, 4374, 3516, 267, 855, 972, 616, 1869, 3003, 2229, 8041, 4171, 4408, 543, 13485, 616, 7164, 267, 543, 3292, 865, 5728, 602, 6837, 16018, 547, 2508, 873, 1510, 6616, 1018, 789, 798, 1848, 630, 302, 685, 3891, 327, 597, 264, 2060, 6837, 1373, 6854, 538, 519, 4158, 267, 519, 2229, 3292, 666, 798, 8726, 789, 1745, 568, 2556, 538, 519, 2012, 540, 519, 9139, 1510, 21002, 2287, 811, 1004, 540, 1018, 789, 798, 269, 0, 19817, 704, 5599, 1184, 267, 19817, 704, 11493, 267, 7601, 17819, 267, 7601, 7626, 634, 7601, 10868, 1184, 3217, 1747, 998, 1930, 1790, 527, 5599, 1210, 1804, 8397, 3937, 2991, 621, 568, 13939, 689, 519, 2666, 267, 519, 7601, 7626, 568, 24829, 563, 20225, 476, 2918, 267, 1215, 21019, 1772, 17214, 17397, 5181, 476, 2918, 267, 676, 676, 21019, 29834, 2073, 2991, 11493, 267, 4600, 3575, 519, 7626, 609, 1216, 543, 20836, 621, 883, 1256, 32067, 5536, 1210, 513, 11425, 1984, 634, 1984, 568, 16922, 540, 513, 20425, 8708, 4904, 609, 1082, 2110, 13080, 540, 5374, 11425, 1879, 519, 12718, 29226, 593, 922, 8880, 7852, 267, 519, 22203, 8095, 543, 24807, 519, 563, 296, 723, 547, 946, 513, 7601, 24807, 729, 615, 547, 13021, 1996, 3579, 656, 634, 30021, 568, 606, 631, 1321, 343, 1428, 2241, 667, 2562, 476, 3445, 279, 13058, 726, 730, 30021, 1703, 568, 513, 1507, 13779, 540, 476, 4905, 7825, 1063, 519, 7601, 729, 615, 543, 519, 30021, 630, 342, 528, 560, 2013, 1070, 1141, 519, 30021, 2627, 6238, 547, 8953, 594, 991, 547, 11214, 2203, 610, 5173, 519, 24807, 540, 519, 1570, 543, 2327, 513, 1697, 13021, 563, 15037, 476, 6860, 267, 7754, 568, 5374, 267, 7601, 568, 2673, 538, 519, 3167, 1761, 267, 8754, 1970, 4960, 540, 27647, 545, 2962, 4746, 267, 621, 568, 4443, 547, 1205, 513, 1434, 13021, 609, 519, 11956, 267, 543, 519, 570, 290, 30021, 568, 4130, 4083, 13612, 543, 2539, 18165, 570, 290, 594, 1589, 568, 711, 5374, 267, 1502, 321, 1176, 11956, 267, 8754, 11956, 24807, 729, 615, 21019, 543, 1325, 26891, 616, 711, 519, 1655, 540, 2828, 585, 27647, 545, 2962, 563, 19686, 1108, 6480, 11582, 540, 2604, 1210, 595, 16810, 543, 700, 16810, 4559, 568, 5340, 676, 513, 2027, 8302, 7784, 267, 799, 3096, 2604, 4294, 547, 513, 25059, 547, 24807, 513, 5402, 14475, 543, 26215, 730, 7601, 610, 1291, 12718, 634, 2179, 540, 22636, 568, 3379, 547, 519, 2179, 540, 11493, 3812, 676, 1114, 12503, 538, 6550, 829, 4009, 10759, 563, 6011, 7601, 568, 1500, 11493, 875, 7601, 568, 1500, 11493, 1215, 547, 645, 754, 21019, 623, 6559, 543, 31793, 532, 9453, 9197, 5241, 898, 7325, 476, 736, 594, 5063, 1500, 513, 7601, 8685, 532, 16509, 547, 946, 538, 513, 3859, 335, 10062, 1216, 2692, 8814, 543, 4121, 519, 1318, 1259, 543, 519, 4636, 1259, 547, 18846, 7601, 8685, 532, 6789, 2752, 4596, 10435, 21019, 1496, 16942, 6870, 14073, 763, 17719, 7626, 568, 16487, 547, 519, 11493, 2030, 1141, 621, 568, 16760, 547, 513, 2450, 3617, 585, 519, 8860, 1184, 543, 1287, 24829, 547, 519, 3492, 15249, 2991, 513, 3126, 540, 8255, 998, 7677, 2167, 267, 1141, 1875, 2275, 32111, 2609, 616, 14616, 1055, 610, 9674, 267, 519, 1267, 568, 513, 476, 4200, 2600, 6986, 25183, 7601, 563, 13062, 5241, 1184, 538, 519, 10868, 540, 7601, 21019, 14086, 543, 6987, 3555, 590, 5285, 728, 2107, 634, 7626, 689, 519, 9553, 3568, 827, 476, 273, 260, 7601, 1677, 1205, 693, 519, 7601, 519, 1101, 3942, 568, 11493, 563, 24479, 1031, 538, 11493, 7601, 610, 1648, 1031, 538, 11493, 7601, 22714, 2473, 15551, 5140, 5599, 11493, 12227, 2472, 610, 2504, 1899, 1374, 267, 519, 2754, 568, 8149, 547, 2679, 519, 4457, 6216, 9553, 11493, 543, 4393, 12227, 267, 5631, 8302, 267, 1984, 267, 5070, 1818, 938, 2472, 630, 24479, 1031, 538, 11493, 7601, 22714, 264, 538, 811, 982, 835, 4627, 540, 519, 10600, 2297, 540, 2477, 543, 563, 13356, 476, 5400, 267, 1280, 519, 11146, 540, 8212, 910, 19124, 10197, 514, 910, 2904, 476, 1626, 267, 910, 30991, 281, 476, 272, 281, 4905, 281, 2918, 700, 624, 999, 676, 19124, 10197, 514, 1358, 786, 1118, 596, 2340, 503, 354, 8212, 30318, 585, 596, 563, 1607, 2095, 24577, 1500, 540, 12227, 24069, 6941, 610, 20475, 538, 2241, 855, 2312, 2474, 519, 1900, 540, 519, 21019, 14086, 543, 21019, 6987, 3555, 6713, 18786, 689, 2901, 1930, 1790, 527, 610, 11895, 5599, 543, 1210, 513, 1114, 4143, 2126, 1505, 585, 12547, 610, 20962, 728, 7601, 7777, 630, 648, 1916, 14257, 476, 2537, 267, 21019, 543, 1325, 6058, 1756, 5288, 938, 10281, 14989, 2046, 3776, 2034, 8756, 4179, 2517, 344, 19834, 270, 577, 14128, 270, 10813, 557, 289, 5325, 331, 326, 345, 313, 297, 272, 310, 8170, 275, 311, 312, 309, 297, 301, 289, 342, 3776, 10178, 6300, 4179, 2517, 2745, 332, 19318, 563, 290, 32111, 814, 519, 5207, 8143, 543, 5122, 19428, 829, 1770, 4320, 540, 1022, 1634, 6219, 4849, 8988, 267, 799, 568, 1152, 5594, 9120, 538, 713, 2463, 5221, 519, 19428, 540, 7601, 568, 8200, 593, 922, 19454, 267, 3573, 946, 568, 1500, 540, 7601, 538, 922, 796, 718, 1195, 539, 1106, 563, 1692, 10281, 668, 564, 718, 21395, 543, 519, 590, 311, 270, 11246, 6713, 17214, 21019, 519, 634, 2504, 540, 7601, 267, 607, 538, 519, 13345, 540, 1022, 824, 2067, 4199, 267, 814, 606, 634, 5599, 267, 11493, 543, 8860, 13980, 540, 519, 4393, 616, 5393, 9197, 5241, 26269, 454, 303, 584, 2305, 540, 7601, 1879, 7601, 568, 1500, 689, 20962, 728, 22714, 676, 519, 1101, 1505, 1657, 267, 621, 568, 791, 675, 634, 1025, 3563, 7601, 568, 1101, 5701, 547, 4894, 1022, 6967, 20962, 584, 630, 10177, 5529, 607, 18616, 540, 20962, 584, 8166, 538, 519, 7601, 910, 8754, 834, 4565, 3563, 7601, 8442, 543, 1287, 5641, 883, 606, 3941, 585, 17975, 1210, 14793, 3974, 563, 2690, 1383, 267, 2025, 7601, 21818, 12992, 267, 512, 2355, 543, 1286, 10237, 2209, 616, 513, 2101, 2707, 540, 13381, 7601, 1358, 666, 782, 581, 24268, 1524, 543, 1500, 883, 1007, 2472, 4634, 519, 1906, 10101, 540, 7601, 538, 707, 5985, 6049, 568, 4502, 23232, 21019, 568, 606, 11389, 5562, 4496, 267, 621, 23465, 1152, 7444, 609, 519, 5790, 563, 19817, 704, 7626, 11493, 4922, 1031, 538, 669, 850, 21019, 13870, 25416, 9197, 5241, 267, 1184, 649, 723, 29633, 7601, 7626, 11493, 543, 8860, 3937, 547, 1082, 540, 3440, 1984, 621, 568, 4922, 1031, 585, 7601, 5192, 589, 2372, 1774, 21019, 7626, 8860, 1984, 585, 18689, 2747, 1184, 5192, 12313, 563, 24979, 2313, 729, 1667, 616, 6148, 519, 1034, 3765, 4310, 2186, 540, 13021 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 815, 476, 271, 269, 3393, 4846, 338, 780, 2171, 849, 1616, 547, 1397, 596, 476, 6872, 269, 4097, 4846, 547, 875, 1082, 6550, 543, 476, 6872, 269, 4097, 11013, 875, 1082, 4846, 2164, 538, 7515, 269, 2913, 779, 1294, 1384, 2171, 616, 2469, 547, 1376, 609, 513, 5750, 585, 875, 1454, 568, 476, 6872, 269, 4097, 4846, 3160, 547, 11013, 780, 298, 559, 9999, 623, 2432, 623, 2432, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 994, 6872, 269, 4097, 476, 14695, 269, 31979, 6187, 272, 27157, 279, 476, 14695, 269, 16825, 271, 454, 3086, 1413, 693, 513, 3349, 585, 875, 1082, 13532, 476, 6872, 269, 4097, 6550, 780, 303, 2432, 18741, 9999, 18741, 9999, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 454, 6872, 269, 4097, 476, 271, 269, 28526, 30020, 4391, 476, 271, 269, 3393, 692, 3086, 596, 4121, 875, 1082, 476, 6872, 269, 4097, 4846, 547, 7273, 543, 875, 1082, 13532, 476, 6872, 269, 4097, 11013, 267, 865, 649, 666, 979, 547, 519, 476, 6872, 269, 4097, 4846, 547, 7273, 4542, 780, 2162, 476, 6872, 269, 4097, 4846, 547, 6550, 692, 2414, 6460, 476, 6872, 269, 4097, 4846, 547, 721, 7273, 596, 991, 513, 4542, 269, 1284, 786, 1397, 596, 1079, 12596, 269, 2913, 779, 2253, 609, 519, 1101, 835, 1384, 10831, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 476, 14695, 269, 31979, 6187, 272, 27157, 279, 1267, 538, 6550, 692, 763, 1101, 4528, 540, 513, 4542, 786, 2285, 596, 519, 1034, 4977, 1267, 269, 769, 930, 2665, 1256, 519, 10545, 3017, 1223, 581, 9645, 269, 1924, 952, 596, 991, 513, 2953, 6364, 910, 713, 4542, 786, 581, 519, 1655, 3070, 547, 917, 875, 1082, 6550, 616, 6697, 547, 476, 6872, 269, 4097, 11304, 780, 3383, 1577, 779, 979, 547, 519, 1776, 4542, 267, 799, 849, 6087, 9273, 547, 917, 875, 1454, 476, 6872, 269, 4097, 11304, 538, 6550, 780, 2162, 476, 6872, 269, 4097, 11013, 547, 4846, 692, 763, 1776, 4542, 568, 1524, 2630, 267, 1413, 1384, 8649, 870, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 6364, 538, 6550, 692, 2026, 596, 1294, 267, 519, 2034, 4528, 568, 12863, 269, 898, 1223, 581, 519, 1655, 3070, 952, 596, 1616, 547, 1118, 513, 7503, 540, 476, 6872, 269, 4097, 11304, 547, 6550, 538, 2656, 1259, 267, 585, 3236, 267, 1282, 10918, 269, 1411, 1152, 991, 547, 3314, 602, 707, 6364, 786, 581, 711, 865, 2953, 780, 3086, 649, 1616, 547, 1397, 596, 891, 1079, 8747, 540, 513, 4542, 538, 2259, 269, 1809, 1354, 649, 616, 2469, 547, 1118, 513, 7503, 540, 476, 6872, 269, 4097, 4846, 547, 7273, 649, 1616, 547, 1397, 596, 4443, 1259, 547, 917, 476, 6872, 269, 4097, 4846, 547, 875, 1082, 7273, 11207, 4674, 1652, 780, 2162, 476, 6872, 269, 4097, 4846, 547, 7273, 20303, 692, 5194, 1259, 547, 917, 1018, 568, 476, 6872, 269, 4097, 11304, 3160, 547, 538, 6550, 568, 547, 946, 476, 6872, 269, 4097, 4846, 7273, 9498, 269, 1548, 568, 513, 4846, 547, 18470, 20303, 2496, 3519, 591, 614, 568, 606, 3498, 269, 898, 568, 1759, 593, 3476, 4528, 540, 513, 4542, 799, 649, 5795, 596, 538, 519, 3105, 851, 540, 713, 2376, 269, 8729, 547, 476, 6872, 269, 4097, 4846, 11013, 9498, 596, 666, 3533, 6460, 476, 6872, 269, 4097, 4846, 547, 7273, 269, 3807, 4283, 1297, 540, 13532, 799, 596, 1616, 547, 6460, 543, 4945, 2048, 935, 3200, 685, 7735, 269, 1411, 786, 1205, 519, 1267, 538, 513, 2034, 780, 3383, 2119, 547, 5173, 476, 6872, 269, 4097, 4846, 883, 7273, 609, 946, 540, 476, 6872, 269, 4097, 4846, 5288, 11013, 20303, 269, 1284, 9411, 476, 6872, 269, 4097, 607, 606, 2179, 540, 13532, 269, 3371, 568, 519, 6364, 281, 476, 6872, 269, 4097, 11304, 815, 476, 14695, 269, 31979, 6187, 272, 27157, 279, 6550, 780, 2026, 596, 1294, 267, 713, 476, 6872, 269, 4097, 4846, 5288, 7273, 20303, 568, 3593, 7874, 780, 3086, 1577, 779, 1847, 593, 547, 938, 3119, 1888, 910, 875, 547, 6460, 476, 6872, 269, 4097, 13532, 547, 6550, 593, 707, 1378, 780, 2971, 476, 6872, 269, 4097, 4846, 547, 7273, 7503, 692, 2171, 786, 1376, 476, 6872, 269, 4097, 11304, 11224, 547, 875, 1082, 6550, 9819, 609, 519, 1101, 4528, 540, 513, 4542, 547, 1205, 519, 1034, 3169, 6364, 269, 589, 2656, 12576, 540, 513, 4542, 1384, 10831, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 14695, 269, 31979, 6187, 272, 27157, 279, 519, 1267, 538, 6550, 692, 3383, 1018, 723, 596, 798, 547, 2638, 875, 1082, 6550, 3160, 547, 476, 6872, 269, 4097, 11304, 286, 3807, 9062, 1297, 540, 13532, 267, 713, 942, 476, 6872, 269, 4097, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 3947, 476, 14695, 269, 31979, 6187, 272, 27157, 279, 269, 1924, 476, 6872, 269, 4097, 11304, 568, 476, 14695, 269, 31979, 6187, 272, 27157, 279, 780, 2791, 666, 849, 5180, 1055, 713, 1267, 267, 585, 3236, 267, 547, 1079, 8918, 4025, 269, 898, 568, 3160, 476, 273, 269, 736, 269, 1924, 476, 6872, 269, 4097, 11304, 815, 476, 14695, 269, 16825, 271, 6550, 780, 2005, 568, 942, 585, 606, 1383, 689, 4948, 1272, 269, 2913, 779, 5173, 476, 6872, 269, 4097, 4846, 4154, 538, 6550, 269, 1924, 476, 6872, 269, 4097, 4846, 3160, 547, 875, 1082, 7273, 286, 1306, 538, 519, 3105, 1383, 910, 9062, 476, 6872, 269, 4097, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 476, 14695, 269, 31979, 6187, 272, 27157, 279, 269, 1924, 6697, 540, 476, 6872, 269, 4097, 13532, 547, 6550, 267, 952, 621, 2501, 547, 4154, 267, 568, 476, 14695, 269, 31979, 6187, 272, 27157, 279, 780, 1103, 713, 1383, 596, 666, 849, 5180, 1055, 519, 1267, 269, 3371, 568, 519, 6364, 1310, 24263, 1055, 267, 538, 713, 2013, 547, 835, 8918, 1747, 910, 476, 6872, 269, 4097, 11304, 476, 14695, 269, 16825, 6550, 780, 3086, 1577, 779, 1847, 593, 547, 1806, 10736, 1210, 513, 2110, 4528, 540, 513, 4542, 780, 2971, 1215, 1082, 476, 6872, 269, 4097, 4846, 547, 7273, 692, 6524, 649, 1397, 596, 606, 1383, 910, 513, 2656, 12576, 540, 10156, 4542, 1384, 10831, 540, 13532, 2608, 476, 273, 269, 273, 815, 476, 14695, 269, 16825, 519, 6364, 538, 6550, 692, 3383, 476, 6872, 269, 4097, 4846, 3160, 547, 875, 1454, 7273, 286, 1306, 538, 519, 3105, 1383, 596, 991, 547, 9062, 2179, 540, 11304, 267, 713, 942, 476, 6872, 269, 4097, 267, 676, 476, 273, 269, 273, 269, 6423, 281, 476, 6872, 269, 4097, 2608, 476, 273, 269, 273, 815, 476, 14695, 269, 16825, 269, 1924, 476, 6872, 269, 4097, 11304, 568, 476, 273, 269, 273, 6550, 780, 2710, 1776, 7503, 609, 946, 540, 713, 4542, 269, 3767, 5173, 1945, 689, 4948, 1272, 267, 585, 3236, 267, 476, 6872, 269, 4097, 4846, 547, 7273, 2597, 540, 22229, 780, 3383, 1577, 779, 6460, 910, 476, 6872, 269, 4097, 11304, 540, 22229, 2608, 476, 273, 269, 273, 815, 476, 14695, 269, 16825, 6550, 540, 22229, 269, 1924, 476, 6872, 269, 4097, 4846, 547, 11013, 2527, 568, 476, 14695, 269, 16825, 780, 2252, 596, 917, 875, 1454, 568, 476, 6872, 269, 4097, 11304, 2597, 538, 6550, 543, 666, 5173, 621, 609, 946, 540, 1079, 1114, 8747, 540, 513, 4542, 267, 1577, 779, 1847, 593, 269, 3767, 649, 616, 2469, 547, 1397, 596, 891, 2164, 538, 12125, 780, 2971, 22417, 476, 6872, 269, 4097, 11304, 547, 6550, 692, 2171, 917, 602, 2164, 4843, 538, 12125, 616, 865, 1454, 20501, 585, 1034, 540, 596, 269, 1284, 1174, 621, 267, 865, 649, 10356, 782, 891, 4093, 538, 7515, 585, 707, 13418, 269, 8729, 547, 713, 596, 666, 3533, 5635, 476, 6872, 269, 4097, 4846, 6697, 547, 7273, 4093, 780, 4131, 779, 1376, 609, 513, 476, 6872, 269, 4097, 4846, 11224, 7273, 5750, 585, 519, 1101, 4528, 540, 513, 4542, 1384, 298, 559, 9999, 623, 2432, 623, 2432, 630, 12898, 24263, 1055, 547, 1079, 8918, 4025, 994, 6872, 269, 4097, 476, 14695, 269, 31979, 6187, 272, 27157, 279, 476, 14695, 269, 16825, 271, 692, 4517, 1631, 1577, 779, 1294, 476, 6872, 269, 4097, 4846, 3160, 11013, 3349, 585, 519, 2034, 4528, 540, 513, 4542, 1384, 298, 559, 9999, 623, 2432, 454, 6872, 269, 4097, 476, 14695, 269, 16825, 692, 2026, 596, 1294, 267, 1310, 24263, 1055, 267, 952, 621, 2501, 547, 875, 1454, 476, 6872, 269, 4097, 11304, 11224, 6550, 267, 519, 4093, 616, 519, 1482, 269, 634, 8273, 2179, 519, 811, 1713, 3017, 269, 5901, 621, 538, 2247, 950, 596, 1616, 547, 1118, 8273, 1297, 982, 476, 6872, 269, 4097, 13532, 6550, 7503, 780, 2971, 1215, 1082, 13532, 476, 6872, 269, 4097, 11013, 692, 3086, 596, 4121, 875, 547, 5173, 476, 6872, 269, 4097, 13532, 875, 1454, 6550, 855, 649, 1616, 547, 1397, 596, 1945, 811, 269, 3657, 596, 5461, 1018, 621, 568, 286, 1548, 798, 596, 2161, 827, 476, 6872, 269, 4097, 11304, 547, 6550, 543, 13728, 7503, 2496, 2171, 616, 2469, 547, 1397, 596, 875, 596, 666, 6460, 621, 2370, 676, 2370, 269, 10670, 269, 1215, 1454, 568, 476, 6872, 269, 4097, 4846, 538, 7273, 543, 12063, 2496, 5575, 3364, 596, 991, 547, 798, 568, 9062, 1297, 540, 13532, 267, 538, 713, 2013, 476, 6872, 269, 4097, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 1924, 476, 6872, 269, 4097, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 14695, 269, 31979, 6187, 272, 27157, 279, 269, 2290, 11304, 568, 3160, 476, 273, 269, 14225, 25118, 7830, 6550, 780, 763, 8870, 851, 568, 1297, 540, 6550, 269, 1924, 538, 713, 2013, 972, 616, 476, 273, 6550, 780, 2414, 6460, 875, 1454, 476, 6872, 269, 4097, 11304, 568, 3160, 547, 6550, 543, 13728, 596, 723, 547, 9062, 6824, 851, 676, 476, 1626, 269, 1924, 9062, 476, 14225, 25118, 7830, 676, 476, 1626, 269, 898, 568, 4010, 476, 27628, 31256, 4572, 13728, 780, 3383, 707, 1267, 568, 476, 273, 6550, 543, 476, 27628, 31256, 4572, 13728, 269, 1411, 666, 849, 5180, 1055, 13728, 267, 585, 1383, 267, 547, 1079, 4025, 269, 3973, 3803, 1267, 786, 581, 4010, 476, 273, 6550, 543, 476, 3451, 13728, 780, 2026, 596, 1294, 267, 9819, 476, 6872, 269, 4097, 11304, 538, 6550, 543, 13728, 3274, 780, 763, 2063, 9819, 799, 649, 1616, 547, 1397, 596, 568, 7503, 540, 476, 6872, 269, 4097, 3723, 6550, 547, 13532, 7397, 269, 5637, 3723, 6550, 543, 13532, 7397, 616, 4559, 540, 960, 780, 2414, 5173, 621, 596, 991, 1776, 4542, 269, 6969, 649, 2285, 596, 713, 4542, 267, 1294, 1384, 1892, 476, 6872, 269, 4097, 13532, 7397, 815, 476, 278, 269, 22001, 25320, 5952, 3723, 6550, 2676, 1892, 476, 6872, 269, 4097, 3723, 6550, 815, 476, 271, 269, 15946, 22724, 4817, 13532, 7397, 780, 3086, 1413, 693, 513, 4542, 1384, 8649, 870, 10611, 24655, 292, 2211, 28829, 540, 3723, 6550, 2608, 476, 271, 269, 15946, 22724, 4817, 815, 519, 6364, 538, 13532, 7397, 692, 3383, 547, 6460, 476, 6872, 269, 4097, 3723, 6550, 547, 13532, 7397, 596, 723, 547, 9062, 476, 6872, 269, 4097, 676, 476, 271, 269, 15946, 22724, 4817, 269, 898, 568, 4010, 476, 271, 269, 15946, 22724, 4817, 269, 1924, 476, 6872, 269, 4097, 3723, 6550, 568, 476, 271, 269, 15946, 22724, 4817, 11304, 7397, 780, 2005, 568, 849, 2009, 547, 5180, 1055, 713, 1267, 267, 585, 1383, 267, 547, 1079, 8918, 4025, 269, 3973, 476, 6872, 269, 4097, 3723, 6550, 568, 4010, 476, 271, 269, 1691, 11304, 7397, 780, 2171, 4126, 602, 713, 9819, 729, 607, 2653, 607, 476, 6872, 269, 4097, 11304, 883, 6550, 24740, 780, 2171, 4951, 596, 711, 1152, 875, 547, 798, 513, 7503, 476, 6872, 269, 4097, 11304, 547, 11973, 6550, 855, 849, 1079, 1776, 24740, 910, 547, 2638, 875, 1082, 476, 6872, 269, 4097, 4846, 538, 6550, 543, 13728, 543, 875, 1082, 476, 6872, 269, 4097, 3723, 6550, 547, 13532, 7397, 780, 2171, 4951, 596, 849, 824, 1259, 547, 798, 476, 6872, 269, 4097, 11304, 875, 1082, 6550, 24740, 267, 602, 568, 1210, 476, 6872, 269, 4097, 4846, 679, 11013, 9498, 269, 901, 568, 519, 1655, 3903, 585, 1346, 540, 596, 945, 798, 711, 899, 12719, 593, 707, 1378, 693, 782, 610, 713, 942, 798, 711, 1616, 547, 1118, 7711, 19668, 8649, 870, 18360, 4846, 875, 7273, 24740, 593, 707, 1378, 780, 2171, 4126, 602, 1631, 782, 540, 596, 666, 1118, 476, 6872, 269, 4097, 11304 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1277, 31752, 2592, 689, 1004, 609, 15485, 2860, 267, 649, 666, 3713, 13592, 602, 949, 1118, 873, 811, 2693, 547, 4431, 547, 1007, 5732, 12468, 3058, 11257, 269, 1284, 4076, 849, 2919, 606, 3642, 10276, 12574, 3760, 602, 786, 1450, 721, 547, 15407, 1483, 8996, 1239, 547, 948, 1020, 5574, 585, 2101, 19591, 4713, 16804, 341, 2639, 4263, 808, 753, 11420, 267, 649, 616, 1210, 519, 1379, 540, 1239, 2257, 2066, 938, 3003, 681, 22936, 14769, 267, 1210, 3642, 543, 3684, 1565, 547, 5352, 1164, 17032, 6211, 4030, 543, 9072, 269, 1284, 723, 3710, 513, 1101, 6361, 268, 1080, 29292, 1239, 12642, 3760, 602, 26779, 543, 6402, 3309, 1239, 5036, 8151, 689, 840, 12641, 25766, 543, 4791, 547, 1483, 8996, 1239, 267, 543, 649, 616, 8362, 7722, 538, 519, 14762, 1239, 2257, 2146, 998, 811, 982, 13977, 3742, 21769, 267, 9698, 9541, 543, 811, 16804, 12858, 2639, 2414, 5397, 1689, 1369, 519, 2872, 267, 649, 991, 547, 1318, 1004, 1107, 1004, 609, 513, 6612, 585, 5355, 2518, 1072, 543, 8171, 269, 594, 3323, 1250, 4876, 538, 8804, 267, 855, 594, 4718, 875, 1250, 4651, 1107, 513, 10629, 1107, 729, 2111, 547, 5905, 519, 2729, 540, 2550, 1169, 1554, 269, 11287, 1010, 4876, 267, 543, 10452, 593, 1018, 20974, 1229, 547, 803, 267, 594, 6785, 594, 4941, 547, 1118, 519, 1847, 547, 3782, 269, 898, 729, 835, 540, 519, 1655, 3664, 540, 1250, 1272, 563, 21607, 3274, 267, 513, 4876, 538, 3782, 1239, 2257, 3091, 513, 4686, 543, 3078, 4316, 547, 960, 693, 519, 5969, 6316, 540, 3059, 2029, 543, 693, 519, 1482, 942, 267, 547, 948, 1118, 519, 1158, 513, 8902, 1747, 269, 0, 1839, 4455, 10289, 519, 9147, 19978, 14924, 7870, 281, 589, 17714, 998, 8466, 21476, 454, 21615, 1046, 532, 593, 513, 3460, 998, 519, 3504, 8916, 540, 519, 6426, 568, 899, 19480, 1394, 538, 942, 267, 9284, 532, 13951, 538, 519, 3638, 13795, 540, 1686, 267, 5132, 267, 543, 2528, 269, 2755, 9308, 21986, 532, 891, 3338, 949, 711, 2141, 581, 15164, 267, 649, 616, 26752, 547, 723, 606, 6909, 4199, 693, 938, 12871, 281, 3140, 7851, 269, 1452, 6946, 7047, 4919, 11269, 711, 1152, 1683, 721, 609, 10923, 4030, 855, 849, 4196, 607, 9486, 883, 519, 1158, 540, 519, 6426, 269, 15012, 721, 593, 513, 9159, 16939, 607, 649, 2263, 519, 3504, 13400, 8916, 998, 519, 7828, 540, 891, 7415, 3140, 7851, 563, 268, 24531, 519, 2983, 7240, 12745, 281, 634, 6426, 568, 5704, 2299, 13615, 547, 1808, 10923, 6753, 267, 543, 1620, 519, 2796, 540, 891, 4025, 10597, 938, 8223, 540, 519, 13400, 2239, 269, 8466, 7851, 5512, 721, 547, 14650, 519, 3338, 1141, 519, 2984, 540, 519, 6426, 11200, 539, 269, 3245, 519, 23836, 20407, 5211, 547, 519, 24301, 540, 31291, 328, 267, 891, 7851, 21048, 559, 519, 27177, 543, 21056, 602, 5129, 2629, 5107, 538, 13400, 2621, 563, 268, 32274, 519, 4260, 7958, 540, 519, 24686, 1105, 338, 281, 7427, 538, 519, 3723, 25074, 540, 14062, 267, 21469, 267, 543, 15243, 607, 649, 10250, 741, 15322, 2066, 519, 3504, 14033, 5101, 269, 8466, 7851, 1683, 3407, 4030, 883, 741, 9930, 19631, 19824, 267, 519, 11507, 789, 3576, 267, 543, 519, 4872, 789, 11402, 2059, 519, 1259, 269, 654, 5893, 875, 741, 32603, 902, 8032, 741, 3186, 514, 625, 543, 6766, 519, 2104, 540, 741, 18939, 563, 268, 4039, 1516, 519, 31519, 281, 634, 1650, 540, 519, 31519, 568, 835, 540, 519, 1034, 1713, 2621, 538, 13400, 1686, 269, 1635, 6313, 3140, 7851, 267, 649, 666, 14650, 519, 818, 706, 748, 3460, 540, 519, 25232, 689, 5527, 547, 519, 8871, 2213, 8092, 269, 10812, 519, 8905, 540, 519, 31519, 267, 2697, 2009, 6753, 585, 519, 15385, 540, 519, 4414, 7256, 267, 543, 2744, 513, 4514, 7071, 585, 519, 2591, 5185, 676, 15584, 543, 519, 25232, 563, 268, 10289, 519, 8871, 2213, 8092, 281, 15232, 519, 6264, 16725, 540, 519, 8871, 2213, 8092, 998, 3140, 7851, 269, 31733, 693, 519, 17381, 540, 2052, 22528, 607, 621, 729, 5258, 1851, 519, 11031, 540, 5840, 269, 5548, 557, 883, 519, 10923, 2934, 267, 4872, 267, 543, 6302, 4330, 538, 519, 6426, 267, 543, 1174, 519, 4644, 540, 1142, 3148, 538, 519, 2239, 540, 5840, 779, 21037, 543, 11175, 563, 268, 3004, 951, 532, 519, 5020, 540, 4906, 281, 5153, 883, 519, 3723, 25074, 540, 4906, 607, 649, 6330, 519, 3140, 7851, 540, 519, 10513, 8092, 1282, 3571, 942, 269, 3245, 3571, 4332, 2897, 538, 21861, 548, 1335, 547, 519, 24528, 540, 519, 7256, 540, 22191, 324, 543, 519, 10754, 540, 13243, 267, 1427, 15869, 519, 2619, 540, 4906, 685, 18591, 269, 28150, 513, 4514, 1620, 540, 519, 10923, 2796, 540, 3571, 10752, 267, 28986, 267, 543, 10700, 15093, 563, 268, 10439, 1944, 19978, 645, 25114, 281, 3414, 3140, 7851, 267, 649, 666, 14650, 519, 12473, 12959, 10692, 538, 519, 13400, 5736, 269, 654, 5893, 519, 7580, 18902, 951, 540, 26056, 1282, 519, 21037, 540, 7603, 747, 334, 267, 610, 519, 32692, 1063, 6424, 543, 717, 10008, 987, 538, 519, 9503, 540, 4432, 1695, 269, 1635, 6772, 11691, 519, 13400, 6589, 5196, 891, 7851, 267, 649, 2744, 513, 3152, 7071, 585, 519, 4108, 2994, 6964, 543, 519, 4644, 540, 891, 7526, 563, 268, 1133, 16225, 532, 23452, 20079, 281, 26337, 814, 11552, 691, 1117, 3875, 3504, 4872, 5018, 538, 519, 6426, 269, 8466, 7851, 666, 948, 721, 12398, 543, 2263, 891, 4503, 4872, 267, 1519, 7603, 747, 334, 267, 27607, 557, 327, 267, 543, 20770, 269, 1955, 21670, 3054, 538, 519, 26672, 528, 540, 891, 3504, 12977, 267, 3802, 741, 10754, 267, 543, 1451, 827, 519, 3140, 543, 2686, 2796, 538, 799, 13400, 2621, 11200, 539, 563, 21615, 1046, 532, 593, 513, 3460, 998, 519, 3504, 13400, 8916, 1210, 3140, 7851, 2636, 721, 547, 8115, 519, 7934, 1063, 519, 2250, 543, 519, 1459, 269, 898, 6087, 721, 547, 14650, 519, 4025, 267, 2621, 267, 543, 1004, 602, 8032, 519, 1576, 540, 1686, 543, 9788, 519, 5748, 585, 938, 5132, 269, 15012, 721, 607, 649, 5490, 883, 519, 1158, 540, 519, 6426, 267, 11461, 676, 519, 17170, 4030, 3177, 676, 891, 9159, 3140, 7851, 269, 0, 14187, 1072, 568, 3025, 779, 5326, 269, 769, 1249, 267, 930, 1419, 3409, 602, 607, 1279, 607, 789, 723, 1272, 543, 1072, 267, 789, 1810, 1406, 991, 4376, 3116, 543, 519, 5168, 568, 602, 952, 649, 723, 1346, 1919, 267, 649, 666, 1205, 3388, 3116, 563, 4913, 267, 581, 10853, 543, 1832, 538, 2247, 602, 1360, 1906, 1004, 616, 538, 1434, 1072, 269, 634, 1560, 568, 7683, 8165, 8290, 267, 4551, 543, 824, 13596, 602, 2014, 5563, 543, 3676, 269, 901, 4523, 1256, 547, 519, 10545, 540, 519, 2777, 563, 8110, 2739, 1072, 568, 519, 2034, 1390, 2588, 18701, 540, 812, 267, 1373, 28263, 1152, 676, 18163, 1272, 269, 1280, 713, 2601, 267, 789, 723, 6131, 2933, 547, 519, 1353, 540, 519, 1480, 1560, 267, 519, 1259, 621, 6411, 543, 519, 1259, 547, 2149, 621, 998, 1585, 2010, 540, 5574, 543, 6527, 563, 4913, 267, 607, 942, 4422, 676, 267, 621, 4667, 602, 519, 1297, 540, 3676, 568, 2810, 269, 769, 1249, 267, 1082, 540, 1346, 602, 941, 2219, 547, 723, 1044, 16701, 5344, 723, 8120, 267, 971, 607, 21061, 267, 1851, 1866, 563, 3086, 267, 568, 972, 513, 1259, 547, 2972, 26815, 1434, 1072, 286, 634, 2626, 568, 9811, 543, 519, 1883, 547, 8236, 621, 568, 547, 3035, 12046, 1996, 8290, 269, 2755, 621, 568, 3020, 602, 649, 786, 723, 547, 3136, 7231, 609, 4551, 267, 519, 960, 786, 581, 1447, 543, 972, 786, 581, 513, 3152, 4960, 540, 9363, 2635, 585, 3476, 563, 3719, 875, 666, 971, 12046, 616, 6913, 286, 1548, 1590, 596, 798, 547, 3035, 621, 286, 1403, 596, 616, 5461, 538, 519, 1641, 267, 596, 3112, 3247, 2542, 713, 2376, 269, 898, 568, 519, 2626, 602, 596, 723, 1044, 3168, 585, 865, 1454, 543, 267, 1655, 540, 782, 282, 621, 568, 1369, 707, 3914, 563, 2005, 786, 2285, 596, 519, 2556, 2645, 547, 2972, 26815, 1434, 1072, 267, 799, 786, 1450, 596, 547, 4163, 856, 513, 1804, 1297, 540, 2238, 543, 1291, 513, 1454, 2407, 518, 1272, 269, 2913, 779, 1294, 621, 563, 9743, 15297, 547, 3035, 12046, 1996, 1022, 3644, 454, 763, 1101, 3364, 547, 1832, 538, 2247, 568, 602, 707, 1560, 568, 7683, 10514, 12023, 676, 8290, 267, 4551, 543, 824, 2281, 602, 616, 1863, 538, 519, 1604, 269, 1717, 267, 621, 814, 2067, 23640, 602, 616, 4712, 547, 4431, 547, 4323, 269, 1452, 23640, 616, 1634, 607, 519, 4761, 1062, 563, 4002, 519, 824, 1688, 267, 1875, 29795, 1190, 4914, 6878, 610, 2472, 540, 8697, 2281, 666, 849, 9594, 606, 4761, 3210, 269, 1452, 20291, 8878, 6114, 616, 1572, 17916, 12046, 543, 13261, 12046, 563, 763, 17916, 4761, 1062, 568, 849, 1634, 607, 519, 2067, 610, 5065, 4761, 1062, 1317, 621, 568, 1018, 649, 616, 4535, 609, 269, 898, 568, 849, 519, 1898, 851, 547, 9718, 6000, 1996, 13596, 269, 898, 568, 519, 1101, 1899, 540, 8878, 267, 799, 5526, 538, 3108, 610, 2395, 543, 21128, 1354, 519, 13261, 4761, 1062, 563, 2005, 814, 1114, 3334, 912, 268, 8447, 2275, 8707, 7496, 610, 6211, 7496, 563, 268, 3752, 12657, 2609, 563, 268, 8426, 983, 2609, 610, 2281, 563, 2467, 616, 824, 4761, 6114, 267, 6306, 689, 519, 17916, 4761, 1062, 267, 799, 616, 25623, 676, 519, 4598, 540, 11763, 14471, 602, 2333, 519, 1560, 779, 17872, 4390, 269, 901, 1305, 540, 17872, 6127, 568, 1634, 607, 13261, 12046, 563, 2005, 14340, 607, 513, 3210, 547, 3968, 543, 922, 9542, 269, 4475, 267, 621, 568, 849, 1634, 676, 519, 2012, 540, 1808, 610, 9715, 269, 4706, 3210, 2488, 519, 2702, 547, 5431, 543, 3314, 1808, 13596, 267, 10451, 12046, 269, 634, 1292, 2281, 3743, 585, 713, 1599, 616, 570, 543, 645, 9726, 14231, 563, 4263, 519, 1482, 942, 267, 519, 2281, 540, 519, 17916, 4761, 1062, 616, 3743, 585, 4393, 519, 26898, 543, 9306, 873, 547, 891, 9726, 14231, 865, 602, 789, 666, 2709, 513, 12905, 3210, 563, 3086, 602, 596, 1174, 1018, 519, 4761, 1062, 568, 543, 875, 621, 1568, 267, 596, 991, 547, 917, 1018, 596, 666, 798, 547, 3035, 12046, 1996, 1022, 3644, 543, 3976, 2972, 1434, 1072, 563, 1432, 798, 596, 991, 547, 3035, 12046, 1996, 1022, 3644, 888, 4263, 713, 1448, 538, 1686, 568, 1141, 10074, 2408, 269, 1452, 960, 593, 519, 6240, 540, 519, 13261, 4761, 1062, 269, 17261, 1149, 616, 21339, 602, 949, 2270, 519, 25560, 540, 513, 2068, 267, 22887, 18050, 4551, 610, 8290, 267, 610, 930, 23650, 540, 519, 2890, 6716, 1143, 547, 581, 2036, 730, 563, 1103, 2110, 267, 519, 2556, 26898, 616, 5189, 883, 519, 1560, 865, 602, 519, 1482, 11248, 12958, 12489, 547, 1683, 513, 1808, 8878, 543, 513, 3965, 547, 4339, 1996, 513, 2009, 2104, 3968, 563, 21132, 3498, 666, 581, 22280, 883, 513, 4887, 267, 538, 513, 4494, 540, 519, 2960, 610, 581, 13950, 30375, 269, 769, 824, 1913, 267, 10074, 2995, 707, 1560, 875, 547, 9718, 3294, 950, 14471, 267, 971, 607, 8290, 267, 4551, 267, 543, 13271, 267, 28117, 621, 563, 5445, 616, 6534, 547, 513, 2922, 267, 8766, 2179, 540, 8290, 610, 4551, 602, 723, 1044, 28811, 610, 7166, 269, 634, 4761, 1062, 16137, 547, 5431, 543, 4323, 519, 3968, 952, 621, 568, 6534, 547, 519, 2068, 563, 2467, 616, 1114, 2010, 540, 10074, 269, 1703, 616, 1346, 602, 723, 1044, 1500, 609, 2661, 22887, 18050, 8290, 267, 1346, 602, 723, 851, 540, 513, 3644, 610, 4551, 267, 519, 5233, 6950, 543, 519, 19777, 24678, 3283, 602, 2270, 5841, 6878, 563, 25387, 267, 1034, 540, 873, 616, 2808, 1360, 2922, 543, 960, 568, 1373, 2944, 593, 519, 8798, 540, 1007, 10074, 602, 948, 2061, 543, 8396, 519, 12625, 540, 1007, 3676, 267, 971, 607, 13044, 268, 866, 563, 6624, 3676, 616, 1360, 1455, 269, 11524, 666, 581, 14603, 543, 972, 616, 1346, 602, 4734, 771, 29058, 2695, 7002, 585, 1272, 269, 9747, 519, 2956, 540, 3478, 18764, 593, 942, 267, 538, 9753, 547, 3035, 12046, 1996, 519, 8290, 602, 2014, 891, 3676, 269, 10644, 568, 1898, 269, 9320, 14182, 786, 581, 1932, 3735, 563, 3719, 267, 538, 1840, 547, 519, 1657, 267, 1018, 3116, 666, 596, 798, 547, 7794, 707, 4761, 1062, 286, 2913, 779, 1294, 621, 1318, 1631, 563, 19522, 547, 3035, 12046, 1996, 1022, 3644 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 8702, 547, 938, 3460, 998, 519, 4241, 1158, 540, 9511, 256, 4653, 649, 2811, 2469, 547, 1451, 782, 827, 11841, 9511, 267, 799, 9388, 609, 875, 1114, 2798, 267, 3515, 267, 543, 5546, 9305, 547, 1142, 824, 269, 901, 7936, 540, 6128, 814, 1044, 6594, 585, 5215, 540, 1296, 267, 543, 621, 3029, 519, 5748, 585, 811, 4359, 3584, 899, 29890, 543, 11810, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 5575, 267, 1577, 781, 2911, 827, 930, 2596, 2679, 7161, 540, 9511, 281, 2798, 543, 3515, 269, 589, 1448, 568, 899, 513, 6263, 12297, 602, 4564, 513, 1808, 4087, 538, 2230, 269, 1411, 666, 1589, 540, 621, 607, 513, 15262, 593, 513, 4786, 267, 6029, 4010, 1141, 1945, 568, 4092, 269, 20514, 267, 593, 519, 824, 1688, 267, 616, 10070, 540, 2798, 602, 8831, 1055, 883, 20581, 538, 1312, 8846, 269, 1358, 666, 849, 8831, 11014, 538, 1175, 835, 4287, 267, 899, 513, 18422, 540, 1769, 269, 1879, 1079, 3515, 12969, 267, 789, 3444, 1142, 824, 693, 513, 2582, 1448, 780, 3086, 267, 1934, 781, 1141, 1919, 1205, 4277, 269, 769, 11841, 9511, 267, 649, 1810, 1405, 1175, 1353, 1367, 2798, 543, 3515, 269, 1284, 849, 1413, 693, 875, 891, 3615, 2170, 609, 1142, 824, 269, 1280, 1383, 267, 649, 1522, 2307, 2055, 899, 281, 1215, 1082, 3515, 666, 1780, 998, 513, 2016, 1448, 286, 2107, 281, 2052, 1079, 3982, 3515, 2479, 12969, 693, 811, 982, 835, 1448, 286, 1452, 2055, 949, 3100, 2241, 267, 855, 789, 1291, 547, 2620, 4030, 827, 519, 2470, 540, 2230, 543, 3337, 780, 2414, 948, 721, 2626, 891, 2055, 267, 22697, 946, 513, 1305, 540, 3652, 1572, 24936, 1682, 269, 1323, 24936, 558, 568, 513, 3948, 602, 568, 10924, 547, 581, 3020, 1510, 17596, 547, 581, 8810, 269, 1280, 1383, 267, 835, 24936, 558, 538, 11841, 9511, 1522, 1533, 602, 972, 568, 4010, 835, 1899, 602, 10596, 998, 1022, 1079, 3982, 2798, 269, 4495, 649, 723, 3964, 938, 24936, 1682, 267, 649, 666, 946, 873, 547, 6961, 824, 6898, 827, 9511, 780, 4131, 781, 2119, 606, 1383, 1927, 269, 14597, 649, 1616, 547, 6961, 602, 972, 568, 1152, 835, 1899, 602, 3568, 513, 2016, 1448, 623, 543, 568, 6252, 547, 1776, 1899, 700, 269, 1677, 798, 713, 267, 649, 991, 547, 8263, 513, 1906, 1919, 269, 3689, 267, 649, 3513, 8263, 602, 938, 9511, 5205, 519, 23155, 5403, 3634, 267, 799, 2829, 602, 585, 1169, 1899, 543, 1448, 711, 593, 519, 1899, 267, 972, 6818, 4010, 835, 1899, 998, 519, 1448, 602, 568, 6252, 547, 519, 3312, 1899, 269, 2060, 713, 13429, 538, 2247, 267, 649, 666, 8399, 609, 938, 6169, 780, 3721, 476, 272, 281, 8571, 513, 1899, 631, 8429, 998, 1448, 623, 267, 543, 15475, 621, 12969, 338, 1899, 700, 693, 1448, 1627, 269, 4595, 631, 12969, 338, 700, 267, 621, 3112, 581, 6252, 547, 700, 676, 4214, 780, 3721, 476, 273, 281, 4635, 519, 23155, 5403, 3634, 267, 2721, 513, 1007, 1899, 715, 998, 623, 602, 568, 6252, 547, 1899, 700, 780, 3721, 476, 274, 281, 18564, 602, 3515, 631, 543, 715, 616, 1312, 6252, 547, 1899, 700, 267, 855, 789, 616, 3982, 2094, 631, 12969, 338, 700, 693, 1448, 1627, 269, 1717, 267, 713, 17591, 338, 938, 13429, 602, 972, 568, 1152, 835, 1899, 998, 1448, 623, 602, 568, 6252, 547, 1899, 700, 269, 4475, 267, 938, 3355, 1139, 3789, 602, 513, 1899, 631, 8429, 998, 1448, 623, 12969, 338, 1899, 700, 1590, 581, 7301, 780, 3721, 476, 275, 281, 10390, 281, 1703, 568, 1152, 835, 1899, 998, 1448, 623, 602, 568, 6252, 547, 1899, 700, 780, 303, 4958, 1399, 3579, 267, 26001, 286, 1635, 1210, 24936, 1682, 543, 9266, 7744, 267, 649, 941, 2111, 547, 6961, 513, 3948, 827, 9511, 269, 1656, 1247, 519, 1893, 543, 2035, 1522, 3100, 513, 3787, 7493, 693, 1101, 16145, 267, 3314, 602, 3388, 538, 2979, 568, 3710, 2390, 12863, 13210, 269, 3807, 899, 1565, 547, 1039, 1354, 18946, 267, 13215, 11841, 9511, 5036, 519, 3942, 585, 3695, 4514, 12166, 2093, 1524, 519, 4155, 780, 3383, 1832, 8026, 267, 6998, 2055, 267, 543, 2348, 1187, 609, 9511, 256, 5808, 6487, 1107, 6148, 14693, 596, 3513, 3605, 707, 1378, 14262, 11532, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2467, 568, 1454, 602, 3788, 12357, 827, 21482, 573, 543, 1010, 25761, 960, 634, 15689, 269, 3509, 2413, 22697, 1589, 540, 21482, 573, 607, 13197, 630, 528, 1256, 6427, 532, 264, 1945, 899, 519, 2413, 24936, 11703, 1505, 267, 23344, 19020, 569, 269, 1809, 2436, 713, 4990, 540, 1620, 540, 21482, 573, 568, 4977, 610, 606, 778, 1258, 2065, 568, 513, 4101, 2243, 269, 634, 15689, 3294, 3091, 2370, 5583, 593, 519, 2339, 269, 4634, 538, 2413, 267, 3810, 6101, 6310, 5931, 519, 2278, 786, 3335, 2285, 930, 4990, 540, 840, 600, 1076, 547, 7259, 519, 5467, 609, 2463, 547, 519, 3853, 543, 2409, 540, 1018, 568, 547, 1246, 269, 19837, 1952, 2002, 5944, 267, 4986, 540, 713, 4990, 4523, 538, 634, 15689, 269, 21482, 573, 3274, 6799, 721, 609, 513, 1592, 540, 8847, 267, 513, 1592, 540, 2022, 12885, 267, 543, 513, 1592, 540, 865, 10777, 2048, 21720, 18765, 8730, 543, 1287, 5956, 1010, 15997, 269, 634, 8847, 267, 2022, 12885, 543, 1455, 18765, 616, 711, 26518, 950, 789, 616, 2663, 1031, 24568, 1249, 267, 1082, 8847, 616, 711, 1031, 538, 1022, 6654, 1259, 9170, 538, 519, 1257, 267, 543, 1082, 540, 519, 15997, 2408, 547, 7048, 593, 3741, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13878, 30388, 1315, 16387, 1315, 4937, 1315, 5549, 2064, 16387, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 519, 1507, 4884, 540, 17451, 13582, 267, 1614, 2828, 3957, 23183, 267, 16092, 267, 543, 24955, 1419, 6170, 741, 1310, 7224, 976, 3695, 519, 18932, 7733, 543, 23090, 8933, 602, 11303, 741, 2146, 269, 1358, 941, 538, 29323, 762, 267, 1142, 8744, 741, 2189, 5380, 543, 9342, 547, 1169, 7045, 789, 3838, 780, 300, 807, 729, 606, 28048, 5467, 945, 6068, 1565, 827, 2257, 543, 2470, 269, 2701, 1185, 5063, 2097, 2066, 930, 24034, 4930, 7234, 2916, 1689, 543, 922, 14042, 2360, 593, 8134, 5001, 269, 32425, 622, 827, 4687, 1200, 16012, 1702, 267, 1352, 10356, 1200, 2828, 585, 513, 3978, 6643, 780, 257, 20756, 16921, 2437, 23183, 3459, 11688, 527, 14688, 267, 834, 5970, 596, 2479, 4862, 540, 1945, 1572, 1412, 30873, 1689, 262, 12482, 297, 600, 773, 6659, 606, 32071, 992, 269, 834, 3674, 333, 1405, 602, 1175, 950, 519, 2837, 2242, 2429, 519, 1032, 8119, 8528, 8867, 334, 695, 745, 13949, 269, 834, 306, 2432, 899, 2596, 4365, 8631, 3010, 8450, 532, 741, 10539, 267, 23183, 695, 809, 1200, 2212, 269, 834, 5591, 267, 1100, 269, 898, 781, 811, 7294, 982, 602, 269, 8693, 1689, 4016, 547, 1279, 3856, 10593, 538, 5210, 543, 4365, 3270, 267, 6140, 1813, 547, 1480, 2238, 899, 8781, 8093, 10173, 267, 17717, 267, 543, 22713, 269, 1656, 621, 781, 4929, 782, 12204, 540, 2042, 1107, 689, 13621, 4672, 11503, 547, 7920, 15420, 547, 2530, 540, 9265, 3010, 297, 600, 773, 535, 27547, 269, 834, 6546, 4992, 1659, 995, 256, 1809, 3884, 1405, 972, 4376, 649, 666, 798, 547, 3247, 621, 12482, 300, 807, 21330, 23362, 269, 834, 27028, 5193, 569, 256, 1284, 666, 1376, 676, 9870, 4656, 1369, 938, 1378, 2146, 267, 28409, 2199, 3401, 547, 1491, 2962, 267, 4227, 938, 3327, 11640, 267, 543, 14957, 585, 4264, 2853, 3010, 7021, 342, 3559, 4364, 2943, 6273, 267, 519, 2468, 334, 4956, 547, 1711, 513, 5859, 5009, 10357, 7888, 6208, 1851, 17451, 13582, 7264, 269, 4256, 3646, 3769, 12180, 9657, 11479, 267, 16475, 3872, 11925, 267, 9544, 4054, 267, 543, 6340, 856, 1996, 4213, 7700, 11874, 547, 519, 1604, 780, 4913, 267, 711, 3025, 20888, 891, 7341, 27145, 269, 2368, 17137, 25323, 741, 21855, 267, 19101, 602, 5466, 2916, 1689, 1131, 581, 1932, 14427, 610, 28842, 1304, 269, 11524, 15034, 873, 540, 4250, 332, 784, 1359, 1510, 3246, 6405, 3435, 269, 1306, 13253, 9782, 267, 865, 1705, 519, 2604, 593, 23183, 267, 16092, 267, 543, 24955, 547, 6961, 2933, 1318, 780, 291, 17827, 547, 1118, 3356, 5103, 3395, 14488, 267, 789, 678, 718, 1221, 1927, 1256, 6793, 269, 2290, 1554, 267, 1247, 7738, 909, 16445, 2059, 519, 5757, 23810, 267, 789, 4362, 513, 6456, 2619, 3056, 2620, 883, 519, 4104, 269, 4354, 6685, 533, 31985, 267, 789, 4553, 621, 2394, 789, 6603, 606, 14460, 4729, 540, 2244, 4904, 609, 23987, 11418, 267, 18646, 267, 543, 824, 3653, 2472, 780, 4537, 18088, 543, 521, 5417, 2989, 267, 519, 2828, 7691, 875, 1454, 2800, 3425, 1223, 1102, 12787, 593, 2470, 952, 2451, 31250, 269, 2060, 17105, 25525, 267, 789, 12247, 539, 547, 2149, 741, 11537, 17451, 13582, 689, 2417, 9552, 269, 3414, 12483, 1652, 11428, 543, 29287, 8990, 267, 789, 18617, 2749, 8387, 547, 2981, 519, 1858, 883, 513, 14762, 6288, 1141, 3885, 1223, 5531, 543, 1451, 827, 6940, 20250, 780, 2026, 2262, 3262, 827, 17451, 13582, 781, 11121, 7004, 267, 15231, 10034, 3576, 5469, 269, 17652, 2614, 267, 2147, 3785, 17708, 1540, 909, 10876, 267, 23185, 676, 4961, 12592, 547, 8190, 741, 5054, 585, 2104, 5481, 269, 6736, 3355, 4187, 267, 23183, 267, 16092, 267, 543, 24955, 9863, 602, 7104, 4674, 543, 6043, 1223, 1291, 547, 6209, 1689, 780, 3719, 741, 3460, 4769, 1405, 1439, 972, 269, 7464, 1944, 602, 2916, 1689, 2838, 2518, 9316, 267, 789, 9450, 741, 5692, 3564, 17451, 13582, 781, 10665, 269, 4635, 3059, 5867, 267, 789, 4448, 609, 1762, 15628, 1472, 519, 1158, 267, 8108, 513, 5318, 3060, 8149, 547, 10941, 532, 8103, 781, 5739, 1764, 593, 3047, 780, 4517, 3976, 267, 519, 9371, 540, 23183, 267, 16092, 267, 543, 24955, 4797, 547, 1332, 267, 22348, 721, 782, 602, 1367, 5079, 2339, 7494, 950, 5185, 609, 11566, 2591, 269, 1635, 9256, 6612, 267, 6568, 267, 543, 16177, 267, 1256, 519, 21836, 2818, 540, 2486, 4865, 519, 1379, 547, 3337, 513, 17321, 2104, 585, 938, 10475, 4541, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 24685, 707, 6644, 267, 1018, 568, 519, 1034, 10296, 2825, 3390, 6849, 938, 4541, 2221, 888, 296, 798, 711, 723, 2123, 8369, 267, 855, 2687, 547, 3621, 1382, 543, 5359, 267, 2916, 1689, 568, 2808, 519, 1034, 10296, 2825, 3390, 6849, 938, 4541, 2221, 269, 519, 2333, 538, 2518, 5210, 3361, 676, 1480, 2238, 971, 607, 8781, 8093, 10173, 267, 17717, 267, 543, 4853, 3157, 568, 4611, 538, 3665, 4365, 3270, 267, 8375, 4262, 2157, 267, 543, 17116, 519, 6668, 540, 1585, 2249, 269, 2916, 1689, 849, 814, 2804, 267, 6848, 267, 543, 2797, 5222, 267, 1818, 621, 513, 1950, 543, 14849, 4161, 602, 3340, 7525, 2962, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 5457, 267, 1932, 267, 602, 713, 556, 13652, 1456, 568, 1898, 547, 2057, 5945, 269, 1717, 267, 602, 1482, 556, 13652, 1456, 786, 4688, 596, 2724, 538, 10887, 267, 2285, 596, 513, 1732, 15904, 267, 543, 2149, 596, 689, 7063, 1732, 982, 519, 10887, 2479, 1223, 269, 898, 2731, 568, 513, 10888, 10189, 269, 3807, 798, 621, 1107, 855, 798, 621, 1318, 2336, 2108, 289, 732, 20584, 4881, 1107, 9504, 267, 519, 1863, 22605, 1848, 9504, 267, 519, 1863, 22605, 269, 715, 4877, 1421, 562, 6155, 269, 5680, 269, 476, 2764, 4924, 269, 476, 1001, 272, 269, 4586, 289, 584, 20584, 267, 2549, 2421, 269, 968, 19675, 1411, 2142, 26121, 645, 732, 20584, 9495, 14840, 1676, 779, 2622, 281, 26121, 1744, 3996, 267, 3057, 25070, 9751, 267, 681, 5217, 269, 14840, 1676, 779, 2622, 267, 562, 6155, 269, 5680, 269, 476, 2764, 4924, 269, 476, 1001, 272, 269, 4586, 19604, 10542, 2160, 269, 968, 289, 732, 20584, 4881, 281, 1215, 3425, 10443, 20354, 543, 9108, 1354, 519, 8798, 540, 10887, 1848, 3163, 11545, 281, 5240, 1299, 15080, 538, 3163, 267, 2657, 267, 5113, 1299, 5303, 269, 715, 4877, 1421, 476, 272, 4924, 269, 476, 1001, 271, 269, 5680, 269, 476, 2764, 4924, 269, 476, 1001, 272, 269, 1547, 0, 763, 3377, 540, 519, 14062, 12493, 26923, 543, 519, 16897, 11200, 532, 538, 519, 2442, 16222, 2066, 4884, 1185, 711, 2943, 3262, 269, 1809, 593, 519, 3781, 540, 4989, 476, 1691, 267, 789, 941, 27333, 538, 16990, 30181, 543, 11981, 1142, 824, 779, 2754, 269, 1261, 729, 519, 1101, 7022, 540, 519, 2136, 2276, 547, 581, 18272, 3990, 269, 1635, 476, 5908, 280, 267, 646, 729, 5701, 585, 968, 3430, 2931, 540, 8849, 22468, 540, 519, 2212, 543, 3068, 543, 538, 519, 3148, 540, 519, 2295, 13984, 676, 27621, 14591, 543, 693, 2053, 7411, 7244, 1848, 269, 476, 2764, 910, 2904, 476, 275, 267, 834, 27094, 2986, 3733, 5020, 9899, 18738, 634, 23620, 9737, 12049, 23135, 22358, 1656, 6307, 21388, 267, 1548, 15537, 8316, 6362, 774, 3855, 21784, 839, 9966, 1678, 785, 634, 4107, 267, 476, 2767, 21984, 16103, 2986, 1879, 623, 6064, 681, 27968, 1715, 3840, 267, 15012, 634, 2353, 2334, 781, 21624, 28315, 2598, 335, 2255, 269, 4179, 2517, 4178, 12500, 761, 24628, 2593, 27160, 1203, 270, 817, 817, 1588, 6361, 5025, 3630, 5069, 6441, 514, 11181, 267, 2817, 5800, 11681, 20155, 910, 8131, 3562, 6363, 864, 910, 834, 3086, 1261, 5617, 29330, 547, 519, 12698, 9899, 634, 2667, 817, 1588, 540, 14062, 12493, 267, 2817, 19964, 910, 29431, 1168, 5893, 910, 7917, 3751, 12942, 910, 2667, 817, 1588, 540, 5518, 14062, 12493, 267, 476, 5908, 276, 267, 2136, 2276, 14130, 910, 634, 12280, 540, 14062, 12493, 267, 3013, 781, 9452, 689, 3013, 781, 7732, 910, 634, 2667, 817, 1588, 540, 5518, 12493, 269, 4634, 2221, 267, 519, 26923, 540, 14062, 12493, 3788, 835, 540, 3013, 779, 6574, 5667, 9407, 13655, 269, 634, 13957, 14062, 12493, 12984, 2667, 817, 3990, 1548, 5949, 593, 602, 12556, 995, 6153, 11016, 10543, 269, 853, 629, 5523, 21354, 538, 519, 6186, 676, 4425, 1054, 267, 646, 2663, 5293, 856, 1813, 547, 2530, 540, 1973, 269, 14062, 12493, 267, 5988, 476, 276, 267, 476, 5908, 276, 267, 8523, 676, 12138, 8493, 1676, 269, 5080, 337, 3430, 267, 4171, 27756, 2777, 6035, 513, 9675, 585, 4425, 1054, 543, 1866, 547, 1544, 741, 4323, 267, 1223, 2663, 3409, 519, 19796, 1190, 8956, 540, 1373, 519, 1101, 4807, 13401, 676, 519, 1977, 2229, 269, 9866, 21665, 4080, 602, 3979, 4892, 5433, 12493, 779, 2530, 3226, 16994, 569, 269, 14062, 12493, 676, 3627, 12070, 7719, 4425, 1054, 267, 4989, 476, 1691, 267, 476, 5908, 276, 267, 12776, 1748, 676, 4354, 8175, 1299, 594, 1407, 269, 2991, 782, 267, 621, 729, 476, 1015, 281, 1789, 693, 3781, 269, 11066, 18120, 749, 779, 678, 2224, 2443, 602, 646, 729, 972, 547, 5838, 4915, 585, 29828, 731, 2443, 729, 1558, 609, 7525, 27421, 269, 14997, 2329, 5638, 538, 11354, 7615, 267, 13325, 5815, 12493, 1185, 513, 2915, 2907, 538, 476, 6977, 276, 269, 16827, 17329, 12493, 543, 789, 1185, 4646, 513, 2178, 6125, 1282, 519, 2112, 269, 22816, 12855, 12780, 21837, 4173, 1245, 4166, 1310, 1373, 9676, 269, 681, 636, 2293, 30174, 602, 621, 729, 711, 4425, 1054, 855, 1776, 812, 2219, 547, 581, 1864, 945, 729, 7166, 267, 855, 972, 568, 1100, 11807, 2963, 547, 1489, 602, 10206, 269, 2913, 721, 917, 952, 596, 723, 10372, 547, 2087, 713, 2376, 630, 7528, 2231, 21189, 1040, 1261, 5679, 18088, 2182, 593, 5261, 29828, 731, 779, 7450, 269, 1261, 2507, 267, 2560, 1492, 476, 866, 628, 2540, 543, 519, 18272, 514, 945, 7166, 3465, 269, 589, 3983, 31566, 8009, 1185, 16876, 29828, 731, 547, 5127, 269, 1635, 476, 6642, 274, 267, 20831, 543, 681, 987, 14752, 941, 9310, 543, 2713, 538, 5125, 609, 741, 1614, 1453, 1247, 1010, 2790, 1533, 4797, 547, 7771, 269, 14062, 12493, 2667, 817, 1588, 5758, 281, 14062, 12493, 267, 476, 1626, 628, 7022, 540, 519, 2136, 2276, 267, 729, 519, 1101, 1977, 7022, 547, 581, 18272, 3990, 269, 14062, 12493, 267, 607, 2938, 1079, 3275, 1354, 1010, 26923, 269, 22816, 12855, 12780, 288, 3630, 5069, 12493, 267, 607, 2938, 1079, 3275, 1354, 1010, 26923, 269, 1744, 582, 538, 519, 2212, 676, 20752, 1623, 12949, 6500, 3627, 12070, 7719, 4425, 1054, 267, 12493, 5747, 519, 1985, 6640, 269, 14062, 12493, 267, 519, 476, 1626, 628, 7022, 540, 519, 2475, 267, 729, 519, 2197, 779, 3791, 7674, 7022, 547, 5884, 1247, 538, 5604, 267, 4352, 519, 1101, 547, 581, 18272, 3990, 269, 1306, 10792, 607, 621, 949, 723, 1044, 593, 519, 14586, 540, 1312, 5011, 267, 16827, 8275, 2507, 12493, 729, 519, 1101, 7022, 547, 5884, 538, 5604, 676, 26923, 630, 684, 1652, 6436, 7282, 2098, 778, 776, 13177, 543, 1291, 15464, 616, 547, 581, 5156, 1040, 5455, 560, 4202, 267, 519, 13030, 7022, 2893, 4805, 267, 796, 7666, 12023, 267, 606, 2653, 3077, 269, 1306, 18120, 749, 31372, 585, 2576, 547, 2626, 519, 7450, 267, 2311, 10045, 617, 339, 12403, 539, 1896, 7161, 2476, 693, 519, 31489, 6229, 5600, 269, 2201, 519, 3781, 540, 4989, 476, 1691, 267, 607, 519, 14603, 8929, 678, 836, 856, 693, 16110, 779, 16222, 267, 11066, 18120, 749, 1500, 1010, 1259, 1524, 513, 9602, 8265, 538, 6115, 667, 5861, 269, 5518, 12493, 729, 8929, 1247, 8384, 519, 1404, 3776, 1977, 595, 748, 514, 693, 16110, 781, 20989, 538, 6115, 267, 667, 5861, 907, 3891, 5747, 2038, 519, 1985, 6640, 269, 12493, 779, 2669, 32168, 539, 1454, 540, 519, 2197, 883, 21817, 267, 543, 519, 3406, 585, 4425, 1054, 543, 1010, 6104, 1182, 729, 519, 4102, 812, 327, 2863, 538, 1977, 1686, 547, 602, 4266, 269, 1261, 1287, 5828, 519, 17180, 593, 5128, 543, 588, 629, 5523, 5128, 2947, 2053, 538, 519, 9221, 269, 1879, 12493, 729, 14733, 4666, 693, 476, 278, 281, 2420, 993, 593, 4989, 476, 1428, 267, 14199, 540, 2782, 3798, 7773, 631, 269, 853, 656, 517, 28020, 14733, 267, 968, 3086, 646, 12851, 547, 519, 6502, 892, 630, 528, 968, 1729, 519, 23109, 31865, 22168, 10990, 1040, 2201, 519, 824, 1688, 267, 538, 513, 4063, 2854, 513, 1906, 2395, 1310, 519, 26923, 267, 4425, 1054, 10645, 602, 646, 1185, 22551, 539, 968, 306, 545, 5033, 704, 892, 1354, 646, 17991, 630, 2288, 621, 4667, 2693, 602, 713, 729, 4425, 1054, 779, 3801, 693, 5559, 520, 1944, 1686, 1040, 3778, 23645, 6406, 2782, 5518, 14062, 12493, 729, 8929, 593, 4989, 476, 1691, 267, 476, 5908, 276, 676, 3627, 12070, 7719, 4425, 1054, 269, 769, 4728, 476, 5908, 275, 267, 772, 569, 1087, 525, 590, 269, 16827, 267, 519, 4971, 532, 2489, 540, 782, 519, 5742, 781, 20679, 267, 4956, 547, 7080, 754, 519, 5385, 540, 14586, 6361, 21351, 269, 16340, 2515, 10229, 513, 1269, 1911, 267, 1822, 8007, 585, 519, 7001, 540, 3627, 5080, 337, 3430, 267, 3627, 12070, 7719, 4425, 1054, 267, 543, 6424, 29733, 630, 320, 4413, 335, 2454, 540, 4173, 1245, 1070, 16143, 540, 931, 25378, 538, 519, 26923, 540, 772, 2529, 269, 3465, 269, 5502, 540, 2348, 16827, 779, 2754, 267, 519, 6931, 3712, 985, 941, 8678, 676, 8361, 681, 987, 14752, 267, 513, 1762, 5742, 11464, 267, 543, 1010, 535, 4800, 324, 267, 27262, 20831, 269, 918, 1446, 6511, 32746, 320, 568, 513, 3943, 18702, 267, 1686, 2000, 8221, 5856, 1759, 538, 27201, 269, 2667, 817, 1588, 540, 14062, 12493, 267, 12638, 748, 4323, 593, 14062, 12493, 267, 519, 476, 1626, 628, 7022, 540, 519, 2136, 2276, 267, 693, 16110, 779, 20989, 538, 6115, 267, 667, 5861, 1421, 593, 519, 10543, 540, 4989, 476, 1691, 267, 476, 5908, 276, 269, 589, 22743, 7419, 16249, 2669, 5523, 8666, 1767, 547, 1397, 14062, 12493, 1310, 646, 729, 18272, 3990, 568, 476, 4200, 829, 1298, 2693, 547, 581, 1483, 267, 606, 31375, 6811, 1310, 1079, 1296, 4974, 18837, 2963, 269, 1306, 20831, 2663, 22281, 539, 267, 1247, 519, 2185, 540, 873, 12306, 883, 741, 16295, 267, 519, 7022, 6603, 936, 547, 1491, 1010, 7385, 779, 1688, 269, 1261, 1185, 4397, 547, 581, 1200, 531, 4765, 607, 513, 5869, 269, 898, 729, 2965, 851, 540, 513, 1614, 17376, 784, 539, 4323, 2966, 547, 3186, 8494, 1125, 519, 3003, 5742, 2229, 269, 1879, 18120, 749, 29739, 646, 1185, 547, 5838, 519, 4915, 538, 1268, 267, 519, 22700, 11688, 18469, 2443, 855, 18120, 749, 536, 20149, 538, 269, 14062, 12493, 269, 16634, 3245, 2451, 267, 6307, 5080, 337, 3430, 267, 11066, 18120, 749, 267, 6424, 4173, 1245, 267, 543, 6723, 2311, 10045, 617, 339, 616, 13401, 538, 6115, 267, 667, 5861, 269, 593, 5147, 476, 278, 267, 476, 5908, 276, 269, 968, 1805, 641, 602, 812, 17373, 681, 987, 14752, 524, 3072, 269, 715, 8582, 476, 2004, 260, 5508, 293, 256, 29828, 731, 267, 13676, 1310, 1010, 31566, 8009, 543, 3144, 676, 9983, 267, 3274, 1223, 711, 9718, 5128, 269, 11109, 17298, 2417, 3646, 547, 9101, 267, 4425, 1054, 543, 4173, 1245, 941, 27424, 1524, 676, 5313, 10136, 593, 4989, 476, 2918, 693, 513, 3484, 538, 9098, 267, 2282, 519, 681, 1952, 1695, 2335, 1442, 5211, 269, 898, 3576, 1152, 513, 1906, 2395, 585, 519, 8128, 547, 1265, 543, 10654, 18120, 749, 543, 2311, 10045, 617, 339, 269, 1261, 5761, 539, 693, 4425, 1054, 543, 6836, 547, 771, 1301, 1864, 855, 4425, 1054, 588, 629, 5523, 1864, 538, 519, 6186, 543, 29860, 2476, 547, 3106, 269, 10748, 1466, 2818, 1585, 569, 4080, 602, 646, 608, 13094, 267, 968, 306, 545, 5033, 704, 28112, 2335, 529, 892, 12462, 13295, 2141, 547, 1119, 7847, 2223, 519, 1533, 2138, 1729, 540, 9098, 264, 610, 968, 763, 3162, 568, 1285, 1263, 539, 17373, 610, 1312, 267, 1354, 7106, 8960, 998, 513, 7450, 693, 519, 2427, 540, 519, 3942, 1141, 1010, 7504, 729, 1373, 4371, 585, 1864, 269, 22816, 12855, 12780, 288, 3630, 5069, 12493, 779, 2669, 5523, 267, 607, 2938, 4166, 1310, 519, 7022, 779, 1560, 729, 6569, 269, 9474, 6938, 295, 4456, 12493, 267, 519, 476, 1626, 628, 7022, 540, 519, 2136, 2276, 267, 729, 18272, 3990, 538, 476, 5908, 276, 676, 513, 7784, 3333, 582, 547, 519, 2212, 269, 4935, 519, 2347, 14062, 12493, 26923, 4729, 729, 711, 1175, 827, 11318, 519, 7022, 267, 855, 849, 827, 2921, 856, 519, 2367, 1985, 538, 1899, 585, 519, 24164, 543, 18530, 519, 2197, 883, 14784, 607, 519, 6406, 2782, 1929, 6244, 547, 513, 26481, 1439, 269, 12493, 729, 13984, 547, 5612, 676, 1896, 7189, 945, 941, 538, 519, 5304, 269, 1717, 267, 1498, 1906, 949, 8275, 621, 267, 519, 9962, 14062, 12493, 26923, 4729, 729, 1454, 3677, 982, 519, 12638, 540, 1175, 835, 812, 269, 634, 12638, 540, 12493, 5128, 1705, 8197, 12235, 519, 2197, 883, 14784, 269, 7216, 519, 1985, 6640, 12493, 5747, 269, 2507, 267, 2560, 4621, 2869, 2209, 16957, 569, 3238, 538, 519, 26923, 540, 3465, 269, 634, 26923, 540, 772, 2529, 269, 3465, 269, 3571, 26923, 5949, 593, 4989, 476, 1691, 267, 476, 5908, 276, 269, 14062, 12493, 282, 538, 519, 16110, 781, 20989, 2817, 19866, 13505, 267, 6115, 267, 667, 5861, 269, 634, 1985, 1554, 729, 14914, 10732, 267, 543, 2429, 3013, 28005, 976, 538, 4168, 13039, 1226, 730, 12493, 779, 12004, 10455, 3256, 609, 4906, 685, 9384, 4716, 2669, 269, 1261, 1486, 6479, 547, 519, 7022, 540, 519, 5513, 26915, 267, 6601, 23439, 20727, 269, 2637, 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 ]
[ 4396, 1620, 540, 1018, 621, 1797, 543, 1946, 621, 781, 865, 1271, 269, 1924, 1577, 781, 4685, 1318, 883, 621, 2439, 763, 9452, 540, 590, 1342, 9618, 15925, 717, 2246, 4821, 692, 5978, 1650, 5956, 609, 13584, 590, 1342, 9618, 15925, 717, 2246, 4821, 267, 945, 5030, 1472, 476, 273, 267, 4335, 1296, 3516, 538, 3504, 3127, 269, 1261, 729, 513, 19036, 945, 1185, 3388, 646, 1223, 2479, 1616, 1765, 17314, 267, 1379, 267, 2648, 267, 543, 2463, 269, 1809, 835, 1554, 267, 646, 7691, 602, 1256, 1498, 1010, 1272, 8604, 3501, 267, 1004, 1869, 11124, 1813, 547, 2025, 2085, 267, 19210, 267, 543, 2669, 269, 12213, 569, 6410, 267, 646, 4956, 547, 4734, 3297, 1010, 29413, 6197, 547, 1265, 4267, 827, 875, 7092, 1223, 581, 8694, 269, 2991, 1082, 1296, 540, 9066, 267, 1565, 267, 543, 1582, 22523, 267, 646, 6368, 6913, 21481, 896, 519, 4583, 26636, 6062, 3529, 269, 1306, 513, 4628, 32570, 539, 1373, 267, 646, 2968, 1634, 607, 519, 17700, 267, 799, 1797, 834, 1492, 21220, 2586, 539, 2290, 3010, 1432, 1281, 26636, 20130, 520, 3279, 1611, 2496, 3086, 267, 1934, 2501, 938, 1292, 1915, 1107, 519, 26636, 20130, 520, 3279, 256, 898, 4016, 547, 2576, 945, 814, 1500, 513, 7096, 12247, 547, 1831, 513, 2104, 17700, 269, 2334, 781, 1318, 267, 789, 2832, 547, 1246, 538, 519, 3723, 25074, 540, 519, 3140, 17700, 267, 590, 1342, 9618, 15925, 717, 2246, 4821, 267, 543, 3914, 2347, 21481, 2933, 269, 3807, 899, 1022, 824, 1268, 267, 513, 26636, 20130, 520, 3279, 4422, 998, 1585, 5933, 540, 1272, 267, 6849, 2591, 267, 8026, 21644, 267, 543, 3395, 32375, 2394, 789, 5555, 12492, 2407, 21481, 780, 6826, 5765, 513, 26636, 20130, 520, 3279, 692, 5331, 1818, 971, 513, 5458, 7029, 693, 513, 1360, 1762, 2085, 256, 4340, 547, 930, 2984, 267, 513, 26636, 20130, 520, 3279, 666, 6430, 593, 741, 2619, 2509, 4742, 513, 17700, 950, 789, 616, 1175, 513, 1126, 269, 1358, 1287, 4142, 6510, 741, 3003, 2729, 547, 3384, 7326, 267, 8296, 267, 28908, 267, 9639, 267, 543, 824, 2318, 7907, 269, 1452, 2043, 3494, 602, 676, 14237, 891, 7592, 267, 789, 786, 10536, 2614, 20519, 547, 3035, 10700, 21481, 14693, 780, 289, 617, 20130, 3430, 11663, 2429, 3778, 692, 2467, 941, 9118, 26636, 20130, 3430, 11663, 1354, 519, 17700, 1744, 21294, 600, 27376, 630, 534, 1278, 2012, 585, 590, 1342, 9618, 15925, 717, 2246, 4821, 1070, 543, 972, 786, 581, 1082, 811, 1310, 1864, 269, 2368, 540, 873, 1256, 556, 4532, 7568, 622, 1896, 2053, 1354, 8757, 21481, 269, 3962, 10715, 2488, 3255, 547, 1451, 3407, 4245, 543, 2259, 11587, 267, 4543, 1866, 267, 543, 4509, 6418, 4708, 269, 3414, 891, 2833, 267, 789, 1332, 6251, 547, 8236, 741, 3804, 540, 4742, 513, 4628, 24084, 2989, 17700, 780, 1103, 1249, 267, 798, 596, 917, 602, 519, 1985, 17700, 814, 2907, 1044, 3957, 286, 3571, 2012, 568, 631, 7159, 516, 5984, 630, 528, 5450, 974, 344, 5984, 1040, 9521, 721, 267, 2705, 267, 646, 18387, 1405, 3323, 1010, 3460, 2943, 269, 1284, 1869, 991, 547, 7227, 585, 5215, 540, 1296, 2394, 646, 5526, 593, 3047, 543, 11414, 3025, 827, 10678, 7092, 2899, 543, 585, 782, 780, 1692, 2052, 1411, 2142, 6145, 513, 26636, 20130, 520, 3279, 2496, 10214, 952, 596, 2811, 711, 4058, 547, 1831, 513, 17700, 20471, 4166, 267, 596, 666, 6157, 1451, 689, 519, 1383, 1305, 676, 26636, 20130, 3430, 553, 256, 1635, 14637, 7907, 899, 15962, 29292, 1145, 267, 19969, 267, 8990, 267, 543, 13919, 267, 596, 1932, 666, 3565, 9797, 547, 707, 2146, 543, 948, 1711, 513, 1732, 1158, 269, 5457, 267, 1169, 1507, 957, 540, 11587, 12523, 2439, 4131, 781, 1234, 5115, 692, 265, 589, 26636, 20130, 520, 3279, 568, 2576, 8149, 547, 1739, 519, 2619, 540, 519, 17700, 543, 20678, 585, 2347, 21481, 563, 265, 1677, 1831, 513, 26636, 20130, 520, 3279, 267, 835, 1590, 1491, 513, 12247, 693, 513, 1762, 2085, 543, 6108, 741, 2898, 1272, 3384, 2318, 7907, 563, 265, 1703, 723, 1044, 3875, 26636, 20130, 3430, 553, 2429, 1686, 267, 1519, 1346, 945, 786, 1831, 6844, 13757, 538, 519, 11397, 2104, 563, 265, 4634, 952, 596, 2811, 711, 30758, 547, 1831, 513, 17700, 267, 12561, 519, 2418, 540, 513, 26636, 20130, 520, 3279, 666, 7494, 4324, 3054, 543, 2486, 780, 15124, 2816, 256, 3767, 596, 1174, 519, 2596, 2856, 540, 513, 26636, 20130, 520, 3279, 269, 5901, 3695, 2417, 267, 543, 3314, 602, 1142, 1900, 6770, 596, 6251, 547, 12423, 1945, 6909, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7093, 2183, 476, 272, 269, 4886, 540, 2038, 13221, 476, 273, 269, 634, 26636, 20130, 3430, 9366, 538, 10067, 27011, 476, 274, 269, 634, 26636, 20130, 520, 3279, 538, 634, 9545, 3385, 476, 274, 269, 272, 269, 634, 2165, 26636, 20130, 520, 3279, 476, 274, 269, 273, 269, 9537, 540, 26636, 20130, 3430, 553, 476, 274, 269, 274, 269, 634, 10067, 320, 26636, 20130, 520, 3279, 476, 274, 269, 275, 269, 15937, 1230, 4003, 543, 17510, 540, 519, 26636, 20130, 520, 3279, 476, 274, 269, 276, 269, 8422, 2010, 540, 10067, 320, 26636, 20130, 3430, 553, 476, 274, 269, 277, 269, 1879, 1705, 519, 26636, 20130, 520, 3279, 4283, 519, 11202, 540, 4591, 1465, 286, 476, 274, 269, 278, 269, 25024, 543, 4162, 540, 513, 26636, 20130, 520, 3279, 476, 274, 269, 279, 269, 20212, 543, 5330, 1878, 1851, 26636, 20130, 3430, 553, 476, 274, 269, 280, 269, 12984, 519, 26636, 20130, 520, 3279, 4535, 538, 513, 17700, 18888, 267, 2141, 513, 536, 327, 1731, 16223, 340, 286, 476, 274, 269, 1015, 269, 3243, 518, 885, 476, 274, 269, 1556, 269, 634, 476, 3953, 29485, 476, 274, 269, 1321, 269, 634, 20368, 529, 476, 274, 269, 1724, 269, 1975, 12742, 540, 6228, 540, 26636, 20130, 3430, 553, 476, 274, 269, 1691, 269, 634, 2185, 21368, 476, 274, 269, 1428, 269, 12834, 476, 275, 269, 634, 808, 520, 752, 553, 476, 276, 269, 5623, 540, 519, 20368, 529, 476, 276, 269, 272, 269, 9198, 13920, 476, 276, 269, 273, 269, 5651, 1275, 476, 276, 269, 274, 269, 11412, 10586, 476, 276, 269, 275, 269, 27067, 476, 276, 269, 276, 269, 6052, 476, 276, 269, 277, 269, 4793, 1466, 476, 276, 269, 278, 269, 18266, 6888, 476, 276, 269, 279, 269, 10318, 1588, 476, 276, 269, 280, 269, 700, 8221, 29292, 1145, 476, 276, 269, 1015, 269, 4982, 534, 14383, 476, 277, 269, 8892, 6844, 13757, 476, 277, 269, 272, 269, 5450, 974, 344, 5984, 476, 277, 269, 273, 269, 681, 4821, 476, 277, 269, 274, 269, 20144, 2459, 541, 24652, 476, 277, 269, 275, 269, 20144, 2459, 817, 9564, 476, 277, 269, 276, 269, 23902, 3385, 476, 277, 269, 277, 269, 681, 4461, 574, 27376, 476, 277, 269, 278, 269, 8061, 1228, 9366, 476, 277, 269, 279, 269, 23902, 14515, 3873, 476, 277, 269, 280, 269, 570, 20811, 476, 277, 269, 1015, 269, 5681, 836, 8403, 5623, 540, 555, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 513, 9589, 4104, 267, 972, 5030, 513, 6263, 13442, 3957, 15207, 570, 1074, 8538, 749, 269, 15207, 729, 513, 5363, 2370, 18912, 945, 6068, 547, 1118, 1919, 1332, 543, 16036, 269, 1261, 1131, 20057, 548, 9059, 7452, 593, 5810, 267, 4054, 267, 543, 2371, 1169, 1554, 547, 948, 873, 1831, 2462, 543, 4190, 269, 1809, 3006, 267, 1256, 1498, 646, 6836, 1010, 1655, 267, 930, 540, 519, 2371, 1175, 9327, 1405, 1332, 1100, 2339, 1018, 646, 1705, 269, 901, 1500, 15207, 1745, 8909, 543, 21616, 780, 3080, 1554, 267, 1247, 6972, 998, 519, 4104, 267, 15207, 1558, 513, 8797, 2025, 22559, 3957, 20182, 269, 20182, 4718, 875, 13347, 15207, 6743, 543, 4280, 1864, 1946, 269, 15207, 6045, 602, 646, 7948, 1405, 1205, 930, 540, 519, 2371, 547, 1332, 267, 1100, 2339, 875, 2182, 646, 6836, 269, 634, 8797, 22559, 19557, 5402, 543, 1287, 1767, 267, 834, 20755, 3240, 267, 596, 917, 267, 3006, 950, 649, 991, 948, 267, 621, 781, 1434, 547, 2307, 2576, 610, 1945, 8273, 543, 6793, 982, 721, 3010, 257, 3719, 1141, 666, 594, 1265, 2576, 899, 602, 8119, 4280, 15207, 8049, 569, 780, 30469, 1853, 20493, 24963, 543, 14452, 267, 834, 11039, 267, 1413, 1472, 256, 1411, 2661, 538, 513, 4104, 4904, 609, 7068, 1454, 3677, 543, 811, 3532, 982, 3054, 269, 4208, 1810, 1405, 596, 2119, 6998, 835, 540, 873, 585, 948, 286, 9320, 789, 723, 519, 5728, 547, 3395, 707, 29134, 2371, 15323, 3383, 267, 15207, 4682, 856, 883, 519, 4104, 543, 3323, 6158, 547, 782, 12204, 540, 2831, 910, 25277, 267, 17544, 267, 13650, 267, 12217, 267, 543, 1256, 20384, 256, 15526, 729, 7874, 543, 6126, 547, 2671, 5796, 267, 855, 9039, 8604, 547, 3180, 519, 1883, 547, 30196, 519, 9814, 540, 519, 796, 326, 8089, 2371, 269, 3807, 950, 15207, 2219, 646, 1522, 2760, 3605, 519, 2626, 267, 646, 4862, 513, 9543, 22090, 704, 4947, 689, 513, 7381, 18073, 3529, 780, 3891, 14059, 519, 3529, 543, 8068, 513, 1507, 8559, 2282, 922, 3490, 269, 22582, 267, 513, 3636, 5639, 3357, 856, 540, 519, 8559, 6031, 267, 834, 15916, 267, 1762, 18912, 269, 1215, 949, 594, 4217, 596, 2221, 12482, 20755, 3240, 6045, 1010, 3510, 547, 519, 5639, 267, 543, 1310, 6947, 32348, 267, 519, 5639, 15527, 267, 834, 25105, 267, 594, 1174, 707, 6560, 269, 6884, 267, 1256, 519, 10545, 5452, 2154, 513, 3787, 540, 3063, 14637, 1354, 789, 666, 19806, 558, 269, 2913, 803, 1397, 596, 1018, 594, 1611, 3010, 4415, 602, 267, 519, 5639, 3459, 547, 2206, 513, 2571, 561, 1638, 17879, 602, 16079, 539, 2429, 519, 3003, 4104, 269, 1306, 1352, 31025, 267, 11344, 1769, 23953, 8521, 689, 1200, 5023, 543, 10627, 1117, 519, 10010, 2371, 538, 14246, 543, 2648, 269, 1677, 15207, 781, 993, 10270, 618, 267, 519, 2371, 7444, 3459, 547, 4473, 20733, 267, 8757, 2509, 519, 6607, 2394, 789, 6287, 1229, 1164, 1657, 1864, 2439, 2691, 519, 5152, 8694, 267, 15207, 5828, 547, 9684, 519, 5639, 267, 1152, 547, 1294, 602, 621, 20705, 547, 513, 15999, 6891, 23493, 1369, 519, 3529, 269, 2701, 5189, 9887, 607, 12821, 807, 267, 27369, 540, 2470, 543, 1183, 4177, 540, 11580, 780, 257, 32452, 2437, 3154, 6244, 15207, 267, 1659, 652, 30638, 676, 519, 5898, 540, 12821, 807, 543, 1200, 6909, 7060, 269, 834, 1692, 1705, 596, 798, 602, 12482, 294, 320, 807, 669, 3089, 1194, 28663, 543, 14452, 267, 834, 3528, 26378, 883, 1945, 4514, 982, 8885, 267, 15210, 15207, 269, 1879, 649, 1930, 6000, 909, 547, 1945, 3152, 982, 6000, 267, 5863, 1919, 666, 4755, 269, 769, 2053, 540, 8373, 267, 3314, 602, 596, 1932, 666, 1289, 2390, 713, 2362, 1379, 8164, 596, 991, 5583, 610, 6351, 269, 898, 786, 2141, 581, 1934, 585, 596, 3010, 5804, 602, 4090, 593, 267, 15207, 7691, 602, 646, 7012, 1405, 4805, 538, 519, 1158, 282, 972, 941, 1082, 7919, 1312, 2938, 543, 31305, 602, 646, 1223, 2490, 547, 950, 646, 2877, 948, 269, 1635, 9301, 602, 972, 941, 4229, 3564, 1010, 1378, 5759, 267, 646, 1336, 4313, 6616, 602, 4376, 729, 2009, 952, 646, 3274, 5156, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 3828, 10679, 17778, 543, 14484, 687, 454, 763, 3828, 10679, 17778, 540, 18401, 1683, 519, 13374, 547, 694, 1066, 640, 543, 4708, 540, 2247, 269, 11374, 1142, 5153, 616, 2123, 6898, 2854, 676, 31133, 268, 2304, 517, 2818, 563, 272, 269, 1284, 15861, 649, 941, 1379, 1652, 936, 519, 13989, 1966, 543, 602, 938, 2729, 1185, 1831, 30313, 720, 762, 563, 2108, 13981, 602, 594, 729, 1379, 1652, 936, 1776, 779, 8213, 1705, 711, 1611, 602, 594, 729, 1379, 1652, 607, 513, 1480, 1373, 269, 2372, 924, 519, 14669, 267, 594, 729, 1631, 1863, 547, 1445, 1250, 3646, 593, 1373, 2178 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12436, 693, 2370, 4224, 538, 13275, 12335, 779, 13357, 267, 18296, 2073, 519, 563, 295, 528, 26559, 543, 18296, 2079, 519, 3197, 538, 13275, 12335, 781, 18296, 267, 3520, 26559, 3520, 26559, 568, 513, 1915, 538, 519, 1404, 945, 14659, 1919, 856, 1354, 269, 5261, 12335, 568, 519, 5856, 543, 17082, 540, 18296, 281, 19036, 540, 3954, 5658, 18296, 568, 519, 6305, 1383, 540, 606, 8076, 12416, 1247, 2542, 713, 1404, 267, 1775, 6956, 1946, 12335, 3773, 269, 15783, 1775, 3494, 602, 856, 540, 782, 519, 3197, 538, 13275, 12335, 781, 18296, 267, 3520, 26559, 267, 814, 519, 1034, 1761, 563, 763, 6988, 540, 8423, 7410, 1915, 568, 17814, 998, 835, 2460, 602, 2306, 13275, 12335, 18296, 1915, 2079, 18296, 12981, 3520, 26559, 269, 13159, 5758, 540, 12335, 781, 18296, 267, 1519, 957, 24096, 267, 2101, 1915, 2079, 267, 4798, 267, 18305, 267, 6698, 563, 26046, 540, 18296, 676, 13275, 12335, 2079, 540, 19036, 18296, 781, 1915, 538, 13275, 12335, 781, 1404, 1557, 1806, 910, 2079, 540, 18296, 538, 13275, 269, 5261, 12335, 781, 18296, 519, 1034, 1271, 3197, 538, 519, 1404, 616, 281, 18296, 3520, 26559, 1368, 843, 523, 560, 1716, 19036, 18296, 563, 31819, 596, 2479, 4941, 547, 917, 827, 3520, 26559, 538, 18296, 18296, 676, 13275, 12335, 1753, 1315, 3332, 1315, 3520, 26559, 1394, 1985, 1915, 2079, 269, 589, 2110, 5758, 540, 13275, 12335, 781, 18296, 18296, 543, 3520, 26559, 3858, 602, 713, 18327, 1010, 16203, 1018, 12335, 3197, 1131, 4585, 593, 2121, 26530, 269, 17283, 2079, 3594, 630, 1410, 3263, 264, 519, 1404, 18296, 676, 13275, 12335, 814, 513, 1650, 602, 25856, 1472, 1851, 519, 5256, 3197, 538, 519, 1404, 267, 519, 269, 5811, 543, 4901, 540, 3197, 538, 13275, 12335, 781, 18296, 945, 568, 519, 2140, 1915, 540, 519, 1404, 3520, 26559, 630, 30726, 2079, 563, 2108, 5069, 2280, 892, 538, 519, 1404, 18296, 267, 13275, 12335, 6069, 1079, 5686, 540, 2367, 3520, 26559, 568, 519, 1915, 945, 4564, 513, 812, 540, 2219, 519, 824, 2186, 540, 812, 568, 6719, 676, 6830, 514, 30944, 267, 513, 269, 17283, 676, 13275, 12335, 3349, 540, 9115, 1292, 3197, 543, 5634, 3197, 5758, 540, 519, 1404, 4798, 2079, 540, 513, 3844, 8574, 4277, 5013, 543, 1344, 827, 519, 1404, 269, 18044, 11568, 547, 948, 1353, 519, 2949, 2070, 540, 3197, 689, 13275, 12335, 781, 18296, 18296, 3197, 519, 1404, 1310, 18296, 781, 2669, 267, 3520, 26559, 269, 15783, 1775, 3494, 602, 856, 540, 782, 519, 3197, 538, 13275, 12335, 781, 18296, 267, 3520, 26559, 267, 814, 519, 1034, 1761, 1018, 1775, 1611, 676, 1761, 568, 602, 3520, 26559, 1131, 1118, 519, 1655, 1483, 1268, 563, 5472, 7126, 590, 8491, 269, 0, 2252, 596, 723, 513, 7287, 547, 948, 1004, 7753, 1272, 781, 2591, 607, 1134, 607, 606, 1719, 538, 519, 9443, 267, 596, 949, 2015, 513, 4876, 607, 513, 31897, 269, 901, 4101, 20614, 10905, 3797, 543, 4915, 267, 543, 3340, 1296, 540, 2866, 269, 634, 5396, 596, 1058, 1353, 1354, 4742, 513, 31897, 1331, 3114, 543, 6211, 9443, 543, 2790, 4713, 269, 24356, 1876, 568, 849, 5363, 563, 20329, 9332, 28748, 616, 2564, 7189, 945, 13404, 593, 519, 2126, 540, 4713, 543, 3676, 1644, 547, 519, 8401, 1062, 267, 5214, 2634, 4713, 267, 6219, 6057, 543, 1644, 4713, 269, 5369, 9332, 28748, 849, 1521, 2618, 2670, 543, 2790, 268, 8234, 4713, 971, 607, 18624, 267, 4160, 543, 4049, 4965, 269, 5221, 789, 616, 13500, 267, 24004, 28748, 949, 21559, 6646, 2966, 547, 1521, 1808, 2790, 268, 8234, 4713, 269, 5369, 9332, 28748, 1419, 960, 538, 5698, 609, 16895, 267, 4791, 1514, 4600, 543, 824, 16293, 538, 3384, 513, 2698, 2126, 4640, 585, 2550, 267, 4352, 930, 24004, 28748, 849, 1599, 607, 16293, 563, 763, 9443, 1106, 519, 22449, 540, 2564, 2069, 693, 1312, 519, 15938, 1377, 543, 538, 10927, 7400, 2866, 269, 2353, 1053, 15691, 547, 1831, 7189, 1590, 2347, 11826, 6030, 538, 7350, 267, 7998, 543, 2979, 1354, 789, 616, 15861, 883, 2022, 1532, 3147, 8403, 675, 622, 2564, 13652, 1456, 3292, 269, 4495, 789, 2253, 741, 2564, 2866, 267, 1053, 2347, 7463, 2257, 6030, 1519, 14169, 267, 1979, 17190, 267, 21454, 267, 17550, 543, 14278, 1108, 269, 13689, 593, 519, 32258, 789, 3442, 267, 1053, 2866, 547, 1831, 24004, 28748, 949, 849, 1353, 1039, 11881, 543, 6219, 6057, 267, 11719, 344, 610, 12963, 338, 563, 26045, 2657, 15136, 454, 2414, 581, 2500, 9439, 267, 2436, 7900, 3797, 610, 1095, 21564, 6646, 267, 24004, 28748, 1590, 723, 606, 1620, 540, 2152, 1644, 547, 2790, 268, 8234, 4713, 267, 1519, 4160, 267, 4965, 543, 2566, 269, 5369, 9332, 28748, 1590, 849, 1174, 875, 2790, 1072, 268, 1170, 1132, 949, 635, 12393, 741, 2550, 262, 5868, 543, 2126, 269, 1280, 3236, 267, 24004, 28748, 4749, 7237, 2550, 609, 2789, 2790, 268, 8234, 2152, 267, 971, 607, 6219, 6057, 543, 2618, 2670, 610, 4965, 269, 769, 824, 2550, 267, 2790, 268, 8234, 2152, 849, 635, 12393, 519, 2126, 540, 2168, 2175, 267, 1519, 7486, 543, 15978, 267, 1164, 16151, 26691, 267, 2860, 610, 5312, 1928, 563, 20288, 14750, 2618, 17226, 3322, 7311, 3741, 540, 2618, 17226, 547, 3656, 2152, 269, 7324, 519, 1034, 1455, 3656, 2152, 602, 13720, 24004, 28748, 616, 32246, 10243, 540, 16094, 15508, 2192, 2550, 543, 7803, 2152, 5473, 14501, 2404, 609, 5626, 543, 2618, 5328, 4713, 610, 6219, 6057, 269, 2290, 540, 519, 1034, 1271, 3741, 540, 18837, 2618, 17226, 568, 519, 3656, 10279, 547, 24633, 267, 799, 2829, 602, 16293, 267, 1519, 24004, 28748, 267, 723, 606, 31077, 10279, 547, 1217, 513, 1131, 15515, 6408, 540, 31873, 8594, 689, 513, 7817, 267, 936, 543, 1657, 7817, 14428, 903, 6509, 17979, 563, 1001, 277, 6428, 776, 6176, 585, 4284, 5974, 543, 31048, 976, 454, 24357, 5974, 543, 23262, 12236, 513, 11667, 5993, 14057, 540, 1269, 14225, 267, 31405, 538, 476, 1001, 277, 267, 2687, 547, 519, 772, 2529, 269, 13163, 540, 8534, 10803, 269, 2201, 519, 1970, 1439, 267, 13500, 543, 23262, 12236, 513, 476, 1839, 628, 30878, 14057, 540, 1269, 14530, 267, 280, 3199, 267, 2495, 476, 4037, 2600, 12236, 811, 982, 713, 2179, 269, 634, 476, 4037, 628, 30878, 14057, 568, 1269, 28360, 267, 10204, 267, 2495, 476, 1839, 2600, 7118, 811, 269, 769, 476, 1001, 277, 267, 476, 278, 1724, 267, 8517, 1004, 941, 6964, 538, 519, 772, 2529, 269, 607, 13500, 543, 23262, 563, 268, 772, 2529, 269, 13163, 540, 8534, 10803, 281, 1215, 547, 28161, 513, 4284, 6509, 610, 31048, 517, 454, 268, 1977, 8274, 540, 24741, 543, 27096, 344, 267, 5549, 12727, 24741, 454, 268, 1977, 8274, 540, 4284, 6509, 7981, 2906, 281, 6168, 4284, 6509, 7981, 2906, 4534, 24741, 454, 268, 5516, 619, 538, 6925, 281, 7981, 1399, 6176, 4534, 24741, 454, 268, 744, 9539, 564, 2201, 18118, 281, 12834, 7797, 585, 4534, 476, 3066, 268, 11793, 277, 269, 876, 4534, 5369, 9332, 28748, 454, 268, 1977, 9142, 540, 24741, 543, 519, 4521, 281, 1548, 1772, 5983, 14750, 24741, 888, 268, 3345, 6239, 13636, 12409, 12524, 281, 667, 14280, 547, 2782, 333, 454, 268, 4065, 6261, 677, 531, 2593, 281, 4065, 10261, 539, 547, 28161, 513, 5369, 9332, 2077, 454, 268, 3557, 17206, 2593, 281, 1548, 898, 570, 1389, 547, 2142, 513, 16362, 454, 268, 772, 2529, 269, 13163, 540, 8534, 10803, 281, 27706, 31326, 18361, 281, 4284, 5974, 543, 31048, 976, 454, 268, 19396, 7066, 526, 281, 4284, 5974, 543, 31048, 976, 454, 268, 24741, 3820, 281, 1977, 5369, 12278, 5948, 454, 268, 9474, 14149, 2593, 281, 1977, 8274, 540, 24741, 543, 27096, 344, 267, 5549, 563, 268, 589, 3722, 4338, 3820, 281, 1977, 9142, 540, 4132, 543, 32183, 24741, 454, 268, 589, 4456, 290, 3820, 281, 11233, 1235, 543, 24741, 1763, 6342, 4534, 513, 5564, 529, 2133, 1399, 13979, 547, 15099, 4886, 454, 268, 8028, 294, 10933, 3820, 281, 8028, 294, 10933, 5358, 21976, 585, 23958, 6481, 4065, 538, 24741, 454, 268, 1656, 16699, 5651, 7236, 270, 19445, 17496, 270, 7476, 1399, 16103, 0, 8967, 29107, 281, 4860, 1324, 909, 6850, 5139, 14989, 1379, 23376, 609, 5691, 1486, 19685, 454, 25811, 619, 1759, 693, 674, 313, 289, 5303, 267, 7330, 267, 946, 6687, 327, 12695, 11191, 547, 3391, 1374, 9283, 585, 6850, 5139, 14989, 1379, 23376, 1949, 1354, 2168, 4152, 563, 2252, 596, 4076, 2479, 9141, 513, 1286, 609, 1100, 1379, 23376, 267, 596, 3580, 11291, 2348, 547, 7485, 1360, 2182, 593, 519, 23376, 8868, 547, 2490, 519, 18646, 547, 6474, 707, 5322, 269, 30586, 267, 1346, 2395, 616, 2250, 721, 269, 5295, 23376, 1949, 2443, 799, 1118, 6117, 1454, 811, 6899, 676, 3246, 6351, 998, 23376, 24039, 2443, 723, 8854, 998, 1082, 23200, 936, 519, 1296, 543, 3136, 547, 11457, 609, 4824, 6272, 563, 29128, 519, 476, 1960, 271, 338, 267, 17453, 543, 3167, 8747, 941, 1034, 1455, 269, 1809, 891, 941, 519, 2062, 14725, 2996, 547, 519, 4332, 540, 513, 811, 4492, 18026, 1505, 1572, 6850, 5139, 14989, 1379, 23376, 630, 292, 295, 4916, 1040, 661, 295, 4916, 13976, 593, 519, 6671, 17453, 14764, 267, 855, 12346, 593, 606, 3167, 5179, 547, 1379, 513, 17453, 6802, 267, 2864, 982, 1379, 689, 519, 1286, 779, 2599, 630, 8201, 476, 272, 1040, 4595, 519, 5179, 3977, 568, 14661, 2687, 547, 23376, 8868, 5086, 543, 6174, 3432, 267, 1454, 1447, 1379, 568, 24906, 563, 763, 6802, 15920, 5714, 689, 513, 13111, 547, 23376, 24039, 267, 799, 4019, 3063, 18165, 547, 2490, 519, 18646, 950, 519, 9920, 7140, 519, 23376, 8868, 269, 634, 1062, 849, 2882, 606, 5907, 1852, 1770, 630, 4488, 308, 1070, 18165, 9300, 267, 11896, 547, 1852, 5714, 2604, 267, 543, 513, 10612, 1062, 563, 8201, 476, 272, 269, 2480, 11490, 540, 6850, 5139, 14989, 1379, 23376, 630, 292, 295, 4916, 264, 1062, 563, 763, 2271, 878, 9313, 540, 661, 295, 4916, 454, 17637, 532, 513, 1062, 609, 865, 1082, 954, 22366, 3334, 568, 1100, 1507, 4305, 267, 607, 519, 3210, 540, 835, 851, 4749, 5673, 593, 1776, 269, 1530, 655, 5944, 5634, 11941, 666, 7494, 1860, 3811, 1599, 267, 4398, 267, 543, 10727, 563, 257, 3080, 1907, 602, 11880, 2572, 519, 1374, 27715, 1184, 568, 6687, 327, 12695, 11191, 2437, 6941, 674, 1263, 1627, 328, 267, 9972, 7344, 11653, 693, 674, 313, 289, 5303, 538, 623, 569, 17625, 267, 24696, 269, 674, 313, 289, 3091, 681, 22936, 585, 519, 16669, 2344, 267, 1519, 519, 1646, 540, 16546, 267, 8596, 267, 1883, 1652, 16674, 2839, 27307, 1949, 267, 607, 1134, 607, 661, 295, 4916, 563, 25811, 619, 693, 674, 313, 289, 4749, 946, 21957, 543, 519, 2910, 5960, 5357, 5564, 13023, 12695, 10378, 3301, 547, 2203, 3334, 540, 741, 661, 295, 4916, 6272, 630, 8201, 476, 273, 1040, 901, 2337, 873, 1174, 519, 7180, 540, 519, 6418, 25029, 540, 519, 1062, 267, 543, 1847, 607, 2673, 607, 2009, 547, 513, 3803, 1374, 1354, 13346, 689, 5691, 1486, 19685, 547, 2168, 4152, 563, 8201, 476, 273, 269, 16387, 1031, 585, 6687, 327, 12695, 2079, 540, 519, 661, 295, 4916, 1374, 269, 901, 1374, 2882, 27634, 547, 1489, 3002, 4483, 547, 519, 4478, 2011, 267, 20387, 3334, 267, 543, 5714, 16788, 563, 2108, 8245, 1637, 2337, 721, 5693, 1174, 513, 1966, 865, 602, 649, 666, 2743, 16669, 4170, 1354, 2679, 513, 2168, 2203, 2223, 1627, 328, 24616, 269, 968, 2171, 991, 547, 917, 875, 519, 1062, 786, 1685, 693, 1082, 2157, 281, 7344, 267, 8143, 267, 5714, 267, 17974, 267, 543, 13590, 3034, 3891, 6941, 602, 15418, 543, 2168, 4152, 616, 7199, 543, 942, 10438, 267, 2921, 909, 547, 3670, 3275, 2443, 855, 1256, 1310, 4152, 267, 513, 3811, 18634, 786, 1869, 991, 2417, 5688, 5314, 269, 968, 6546, 1131, 581, 1932, 3500, 585, 519, 1374, 4783, 267, 865, 649, 946, 11191, 547, 3432, 909, 519, 1184, 269, 1284, 5781, 2911, 609, 519, 8030, 267, 585, 1383, 267, 693, 932, 24075, 2401, 547, 2087, 938, 1374, 538, 2910, 5960, 5357, 3301, 1354, 1022, 2168, 15418, 269, 19227, 267, 649, 9327, 1406, 581, 2111, 547, 2743, 519, 4170, 3034, 5353, 22701, 5813, 883, 519, 7180, 896, 519, 26372, 267, 1627, 328, 779, 2319, 693, 674, 313, 289, 1110, 8215, 519, 2101, 3334, 540, 741, 5767, 661, 295, 4916, 1374, 281, 519, 10566, 308, 267, 9678, 20387, 31455, 267, 8628, 11275, 1759, 5179, 267, 5714, 13111, 267, 543, 927, 673, 10591, 6802, 269, 1358, 5340, 13502, 593, 1142, 851, 14384, 267, 855, 849, 10443, 6687, 327, 12695 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8080, 547, 519, 8748, 1158, 540, 7900, 6575, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 513, 2189, 1826, 540, 18792, 602, 596, 1522, 723, 2938, 593, 7641, 910, 5776, 268, 10000, 1290, 9037, 7981, 338, 269, 17451, 4862, 540, 635, 539, 2103, 899, 24910, 19134, 267, 25138, 5576, 10179, 267, 610, 25272, 932, 1952, 16279, 286, 1358, 616, 930, 540, 2221, 781, 2442, 1796, 5346, 635, 539, 2103, 945, 1711, 2027, 2982, 4904, 609, 24668, 267, 2984, 267, 543, 6266, 540, 17409, 256, 2913, 781, 4685, 883, 1018, 2306, 891, 12644, 865, 19278, 543, 875, 789, 8428, 689, 824, 2010, 540, 18792, 780, 5331, 1373, 693, 513, 5428, 1141, 2576, 6238, 10213, 16168, 2984, 610, 25305, 24668, 267, 1818, 3025, 14902, 856, 10978, 269, 2334, 781, 2147, 547, 1018, 4523, 1282, 513, 1796, 5346, 18792, 2027, 269, 1717, 267, 3079, 540, 8732, 1302, 4687, 993, 6748, 23278, 4925, 267, 3318, 635, 539, 2103, 4739, 741, 1570, 5402, 543, 24667, 12838, 14916, 1354, 9306, 621, 547, 9458, 269, 901, 1259, 267, 789, 666, 5838, 1134, 2389, 574, 539, 24362, 6050, 267, 4497, 741, 19700, 3927, 267, 543, 2327, 5021, 554, 1791, 640, 2429, 741, 2773, 780, 2467, 616, 1896, 3344, 540, 1796, 5346, 18792, 2027, 338, 602, 1305, 873, 6306, 689, 824, 11964, 540, 18792, 269, 17616, 267, 972, 781, 2356, 1152, 835, 1685, 518, 630, 1492, 1796, 5346, 635, 539, 1014, 264, 593, 560, 720, 267, 799, 1797, 782, 4064, 616, 593, 873, 269, 3143, 1071, 3613, 1513, 267, 1100, 605, 1186, 1107, 1175, 519, 635, 539, 1014, 267, 513, 28416, 267, 543, 3006, 513, 22454, 610, 1079, 269, 19627, 267, 2094, 972, 5749, 1405, 1022, 14969, 5036, 610, 24853, 547, 16297, 13588, 267, 3811, 1796, 13522, 7048, 8185, 593, 741, 6765, 2511, 267, 1560, 1893, 267, 11132, 7215, 267, 543, 2702, 547, 1921, 609, 741, 5304, 269, 8528, 3086, 1577, 781, 1491, 513, 1413, 693, 930, 1883, 3334, 602, 3565, 547, 513, 12300, 1796, 5346, 18792, 2027, 1384, 272, 269, 5675, 281, 3807, 899, 4589, 2328, 2835, 267, 635, 539, 2103, 2328, 20072, 585, 741, 6411, 269, 1452, 20072, 2270, 1585, 2609, 971, 607, 14764, 3515, 630, 935, 3667, 1070, 24362, 6050, 630, 325, 22324, 2694, 1070, 1289, 10587, 630, 516, 2536, 2590, 1394, 547, 4505, 24668, 1070, 543, 1256, 1650, 9095, 338, 17364, 2066, 2789, 12415, 1369, 513, 2582, 1397, 269, 6153, 5830, 917, 875, 547, 1628, 8082, 7930, 543, 5305, 621, 10393, 998, 9644, 267, 2870, 17175, 26208, 2059, 519, 1259, 563, 273, 269, 7033, 532, 281, 5620, 596, 2479, 8068, 875, 533, 13415, 666, 1118, 1919, 1187, 333, 1512, 286, 4279, 635, 539, 2103, 4487, 12557, 676, 21825, 11093, 16563, 1318, 1310, 12419, 513, 24983, 269, 19612, 607, 834, 1260, 545, 12557, 2437, 713, 4480, 2636, 942, 585, 519, 5304, 547, 1184, 1344, 267, 18783, 1761, 4093, 267, 543, 1287, 16802, 883, 17409, 950, 519, 24362, 1467, 16125, 563, 274, 269, 24822, 281, 1215, 1945, 568, 1767, 1419, 6927, 811, 982, 1018, 781, 2965, 1373, 1767, 269, 2060, 1102, 27928, 267, 31126, 267, 4320, 1852, 267, 10605, 11941, 267, 543, 15931, 946, 540, 17279, 267, 9952, 635, 539, 2103, 2490, 8723, 1913, 883, 9058, 2959, 540, 8272, 628, 563, 275, 269, 19983, 281, 3509, 1796, 5346, 635, 539, 2103, 2972, 15025, 609, 741, 5304, 1282, 2661, 12644, 269, 1635, 6998, 2055, 267, 14775, 547, 8292, 267, 610, 6220, 6397, 3871, 883, 741, 957, 267, 789, 7794, 4296, 609, 4715, 2209, 1247, 4946, 6106, 540, 15514, 2033, 640, 543, 10761, 563, 276, 269, 8609, 3465, 775, 281, 9861, 6899, 593, 3942, 4249, 513, 1713, 1909, 538, 9159, 606, 5304, 269, 30151, 267, 2769, 4369, 267, 543, 13597, 19542, 998, 538, 513, 1685, 518, 781, 14302, 267, 17267, 267, 3750, 3346, 267, 543, 2949, 1629, 6756, 528, 269, 1879, 635, 539, 2103, 608, 8775, 2178, 3942, 4527, 267, 13588, 1745, 6537, 883, 741, 1158, 267, 4463, 2287, 6278, 543, 7071, 585, 519, 1148, 1106, 780, 2026, 5018, 4505, 267, 4583, 1796, 5346, 635, 539, 2103, 899, 24910, 19134, 267, 31130, 1546, 294, 2940, 637, 267, 543, 18281, 9412, 1142, 3142, 741, 1378, 2189, 6163, 543, 14789, 547, 741, 6411, 269, 10289, 1114, 5159, 786, 2285, 596, 5813, 883, 3309, 4485, 1031, 1369, 519, 9135, 269, 1924, 10544, 707, 2828, 267, 5531, 1472, 519, 7641, 267, 543, 1376, 8384, 930, 1796, 5346, 18792, 2027, 338, 1927, 256, 1411, 2760, 917, 282, 596, 1522, 3605, 707, 1007, 5172, 13371, 1851, 519, 1082, 16805, 4648, 856, 972, 269, 8414, 13156, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 297, 1069, 5674, 623, 3881, 2372, 842, 564, 454, 15404, 5974, 4659, 19270, 1068, 4741, 454, 306, 15036, 30608, 2729, 538, 12303, 1169, 1390, 25041, 2678, 267, 689, 8402, 28226, 547, 667, 714, 5414, 717, 14792, 9225, 267, 10557, 21546, 547, 654, 9321, 517, 9370, 23653, 543, 3025, 538, 1063, 543, 3564, 269, 30683, 16026, 1185, 811, 540, 621, 982, 24455, 269, 2048, 2005, 685, 568, 1347, 1143, 320, 267, 606, 1590, 3620, 1511, 585, 713, 1909, 269, 2986, 1576, 9324, 29992, 6115, 1185, 547, 1404, 1975, 833, 10557, 779, 25041, 564, 16502, 538, 7720, 685, 14568, 2349, 1132, 269, 22819, 3240, 623, 3881, 2501, 689, 513, 1920, 540, 11051, 267, 865, 646, 17358, 4628, 519, 2956, 540, 3942, 4527, 607, 14063, 547, 1967, 269, 898, 849, 2337, 547, 581, 513, 2930, 18272, 514, 593, 519, 25041, 564, 267, 609, 513, 2039, 540, 4082, 9962, 982, 9324, 29992, 779, 30546, 20421, 12837, 269, 623, 3881, 814, 829, 3481, 13497, 2282, 519, 1283, 540, 519, 25041, 564, 1158, 585, 1034, 540, 519, 8938, 2389, 839, 267, 10916, 543, 4663, 532, 7683, 609, 606, 9687, 10047, 540, 5716, 267, 4867, 10023, 2706, 331, 894, 32058, 626, 8841, 717, 746, 543, 519, 30811, 10496, 336, 592, 710, 589, 576, 1386, 334, 593, 25576, 15664, 269, 4077, 1143, 320, 585, 2395, 563, 288, 686, 14208, 523, 580, 10222, 334, 454, 290, 7614, 2088, 4446, 543, 6182, 650, 454, 2691, 646, 1101, 1940, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18184, 5346, 1290, 9037, 7981, 338, 257, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 27657, 1315, 2637, 637, 1315, 1290, 9037, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 4312, 1044, 1565, 827, 519, 14861, 710, 14412, 11873, 538, 1153, 269, 2334, 4992, 4241, 256, 2052, 596, 2995, 803, 1018, 621, 781, 782, 827, 2496, 7692, 281, 17610, 267, 7705, 256, 898, 729, 513, 942, 950, 18335, 10692, 585, 922, 7115, 689, 8050, 1063, 476, 8687, 271, 543, 476, 9264, 277, 269, 1358, 4941, 741, 1378, 2229, 543, 5191, 547, 1118, 741, 1378, 3652, 780, 8334, 281, 7937, 267, 594, 1294, 256, 3807, 899, 875, 649, 3006, 723, 22195, 609, 938, 2828, 610, 16254, 267, 855, 6038, 1616, 547, 4194, 2042, 1927, 3079, 540, 2576, 2141, 1373, 538, 5279, 267, 1318, 2496, 7692, 281, 22549, 256, 1656, 1175, 607, 649, 1451, 1007, 1983, 547, 6023, 1346, 3871, 1732, 267, 18335, 4121, 811, 827, 1582, 3766, 4261, 766, 1282, 713, 1974, 780, 8334, 281, 1924, 267, 1705, 789, 3068, 1022, 2591, 2059, 519, 1259, 2496, 7692, 281, 25999, 256, 1703, 941, 12959, 543, 7526, 609, 5053, 4229, 945, 4769, 1405, 1616, 547, 2285, 909, 1852, 269, 1809, 936, 942, 267, 18335, 6591, 1489, 689, 824, 2477, 543, 3710, 6793, 20679, 547, 4339, 1394, 780, 8334, 281, 26272, 267, 602, 1590, 723, 3144, 6266, 540, 10100, 543, 8990, 256, 6145, 950, 649, 960, 2182, 2509, 8236, 1945, 1256, 952, 621, 4667, 2352, 693, 1101, 269, 1284, 1810, 1405, 2285, 909, 3362, 267, 798, 649, 2496, 7692, 281, 715, 2100, 256, 1284, 1832, 3843, 2394, 649, 8011, 269, 1656, 6368, 267, 1310, 3670, 1279, 1296, 267, 18335, 6913, 922, 7115, 538, 476, 9264, 277, 269, 3767, 267, 621, 781, 513, 2197, 609, 922, 2189, 2528, 267, 1893, 267, 543, 5389, 780, 8334, 281, 1215, 5863, 256, 1411, 917, 267, 621, 19595, 803, 540, 16542, 1107, 2324, 1927, 267, 6849, 2591, 2212, 6823, 267, 543, 5555, 8757, 938, 3853, 269, 1284, 666, 4019, 713, 1523, 547, 1082, 3344, 540, 1272, 267, 2436, 621, 781, 4730, 5026, 267, 4974, 267, 610, 4543, 856, 1472, 519, 2777, 780, 7692, 281, 4347, 17802, 256, 4197, 1686, 2337, 721, 1174, 1142, 824, 1932, 269, 1879, 649, 8275, 875, 1866, 5185, 741, 9620, 543, 829, 572, 30099, 267, 649, 1745, 6273, 547, 798, 519, 1482, 538, 938, 2729, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5327, 322, 686, 699, 744, 15674, 293, 21197, 22558, 273, 454, 307, 6856, 1527, 525, 1308, 22558, 273, 744, 15674, 293, 21197, 2147, 27483, 5085, 22558, 2568, 279, 4083, 267, 6293, 632, 1982, 732, 513, 1750, 559, 528, 23313, 594, 12613, 302, 3288, 562, 633, 331, 632, 561, 516, 2181, 345, 550, 9017, 267, 22966, 544, 2967, 562, 537, 2203, 513, 1706, 583, 538, 476, 1708, 274, 267, 570, 6856, 1527, 525, 1308, 10081, 20008, 745, 13798, 926, 23313, 1982, 926, 10566, 308, 267, 28814, 324, 476, 2412, 266, 1187, 551, 4512, 2027, 324, 632, 3028, 267, 6293, 632, 11571, 732, 513, 521, 626, 655, 592, 14241, 267, 19915, 790, 322, 388, 505, 1308, 267, 476, 273, 606, 328, 9337, 538, 1816, 563, 5588, 29996, 21197, 22558, 273, 2480, 534, 1676, 267, 594, 12613, 302, 700, 4169, 19431, 7400, 6206, 14691, 15484, 267, 476, 1708, 274, 1715, 652, 267, 10566, 308, 32017, 1299, 14691, 2961, 2480, 534, 1676, 267, 476, 2412, 266, 670, 5588, 7896, 267, 2353, 3590, 2480, 534, 15484, 267, 4437, 5937, 27399, 267, 476, 273, 13012, 5455, 30098, 267, 609, 2473, 303, 272, 1160, 454, 10666, 713, 6221, 454, 6930, 498, 364, 314, 1708, 274, 21832, 12239, 744, 15674, 293, 21197, 2480, 534, 1676, 316, 5272, 10427, 4183, 538, 744, 15674, 293, 21197, 22558, 273, 568, 3358, 585, 605, 803, 577, 338, 547, 11883, 609, 1950, 594, 12613, 302, 26129, 281, 26399, 519, 25437, 19431, 7400, 594, 12613, 302, 1299, 6206, 14691, 2533, 630, 311, 303, 272, 1160, 264, 609, 796, 337, 2526, 539, 10566, 308, 32017, 1299, 14691, 267, 1684, 7709, 1299, 27114, 6363, 291, 8081, 267, 476, 2412, 266, 670, 5588, 6796, 267, 31643, 7400, 2353, 3590, 13958, 21216, 267, 4437, 1673, 27399, 6513, 267, 609, 476, 273, 1296, 540, 630, 17472, 6363, 7417, 264, 3301, 10311, 3769, 269, 901, 568, 513, 835, 3613, 566, 1883, 5752, 1299, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 6635, 7217, 710, 14412, 11873, 630, 8687, 271, 268, 9264, 277, 17983, 607, 851, 540, 834, 19615, 1315, 5824, 3013, 1315, 3162, 3013, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 769, 519, 844, 5593, 28180, 4884, 1141, 594, 2661, 267, 31314, 1063, 9343, 540, 9838, 8075, 609, 812, 545, 3293, 1876, 985, 267, 6763, 938, 705, 1712, 1107, 513, 23406, 32119, 609, 513, 4620, 924, 855, 23939, 9738, 4677, 856, 4395, 269, 3733, 7649, 543, 594, 723, 759, 3660, 1934, 585, 5722, 1025, 1170, 995, 1296, 267, 5260, 1681, 519, 22471, 1006, 540, 938, 694, 7672, 7583, 11546, 1606, 659, 543, 1666, 6362, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3987, 269, 634, 1715, 4789, 4750, 540, 6925, 269, 476, 1220, 279, 282, 476, 3374, 280, 263, 1428, 2567, 14991, 278, 268, 15647, 280, 454, 301, 11936, 20336, 267, 645, 2224, 808, 289, 267, 5096, 1749, 517, 15406, 267, 1696, 620, 269, 6481, 2359, 540, 5409, 16744, 20945, 538, 1826, 476, 273, 3987, 281, 589, 13618, 5690, 585, 519, 22612, 543, 16369, 540, 3797, 281, 589, 13618, 3948, 540, 519, 1977, 12128, 5948, 543, 519, 3864, 5948, 585, 519, 5530, 540, 12128, 269, 12128, 5516, 269, 476, 1220, 280, 282, 476, 3953, 263, 272, 2567, 4350, 268, 10711, 454, 15447, 2401, 654, 290, 267, 4446, 21884, 268, 3519, 24335, 661, 267, 674, 578, 2401, 10323, 267, 1696, 620, 269, 22159, 538, 519, 11841, 540, 1826, 476, 273, 3987, 609, 6197, 6304, 610, 1558, 845, 514, 269, 634, 1715, 4789, 4750, 540, 6925, 269, 476, 1220, 273, 282, 476, 31798, 263, 277, 2567, 4375, 274, 268, 29889, 454, 30048, 10644, 5358, 3194, 6828, 269, 670, 321, 288, 476, 272, 322, 607, 513, 27667, 540, 3987, 543, 607, 606, 6364, 538, 519, 3987, 6604, 1982, 281, 589, 19747, 4791, 4693, 269, 12128, 5516, 269, 476, 1001, 276, 282, 476, 4343, 263, 272, 2567, 7906, 268, 6812, 454, 21574, 7588, 2967, 715, 267, 595, 8681, 718, 31179, 267, 918, 761, 3832, 341, 20391, 590, 289, 267, 25385, 14657, 10790, 269, 5450, 845, 514, 607, 513, 1907, 547, 3077, 10172, 269, 8426, 5450, 29440, 269, 476, 1001, 277, 282, 476, 2537, 263, 277, 2567, 11793, 271, 268, 11793, 276, 454, 295, 739, 1446, 330, 772, 267, 717, 342, 2830, 631, 267, 670, 843, 655, 2335, 590, 269, 634, 8427, 946, 540, 1558, 845, 514, 538, 2392, 328, 3449, 543, 3987, 6604, 269, 24391, 269, 476, 1001, 276, 282, 476, 4037, 263, 1015, 2567, 13040, 272, 268, 11820, 275, 454, 30048, 10644, 5358, 3194, 6828, 269, 7043, 3856, 3106, 267, 7109, 1464, 267, 543, 2597, 2530, 2404, 609, 1558, 845, 514, 538, 519, 3987, 6604, 1982, 4093, 1353, 269, 12128, 5516, 269, 476, 1001, 273, 282, 476, 3374, 263, 275, 2567, 278, 4029, 268, 278, 4391, 454, 300, 7765, 570, 267, 5576, 2466, 11575, 1408, 29273, 267, 4469, 800, 808, 295, 267, 1696, 620, 269, 5623, 540, 1558, 845, 514, 946, 585, 1826, 476, 273, 3987, 6604, 269, 1977, 4750, 540, 16473, 633, 6925, 269, 476, 1001, 279, 282, 476, 4649, 263, 275, 2567, 276, 4792, 268, 6872, 275, 454, 13563, 12128, 5948, 269, 10644, 610, 8488, 540, 1826, 476, 273, 3987, 281, 11621, 540, 2564, 1416, 538, 3987, 1765, 1001, 280, 269, 12128, 5516, 269, 476, 1001, 280, 282, 476, 5655, 263, 11045, 331, 476, 272, 2567, 306, 3066, 4149, 3451, 454, 309, 534, 717, 514, 928, 5287, 966, 269, 3657, 972, 1022, 31036, 540, 10172, 286, 29119, 1046, 619, 540, 519, 2634, 269, 4437, 32441, 4750, 540, 11660, 1299, 14502, 3194, 269, 476, 1001, 278, 282, 476, 272, 281, 4350, 268, 18684, 454, 299, 583, 345, 654, 267, 9995, 3205, 654, 267, 2480, 615, 321, 990, 590, 269, 634, 4947, 10231, 540, 2518, 2551, 30333, 269, 7186, 269, 476, 1220, 279, 282, 476, 26493, 263, 278, 1704, 280, 2567, 278, 1626, 268, 278, 866, 454, 2171, 514, 1068, 31641, 267, 7033, 597, 553, 13662, 269, 12833, 1243, 2689, 281, 28636, 540, 10172, 269, 4750, 540, 11930, 25665, 630, 289, 564, 1127, 6767, 267, 11022, 281, 476, 2735, 276, 1040, 476, 1220, 274, 282, 476, 4817, 263, 275, 2567, 10204, 277, 268, 14378, 277, 454, 294, 541, 17430, 21781, 267, 8709, 3541, 9710, 560, 717, 307, 267, 966, 6359, 326, 808, 267, 670, 4141, 6359, 16234, 808, 295, 269, 5027, 3441, 543, 30333, 281, 1715, 21943, 2093, 585, 606, 2085, 6040, 1966, 269, 7186, 8426, 10334, 269, 476, 1220, 279, 282, 476, 1015, 263, 1556, 2567, 14862, 272, 268, 14862, 278, 454, 299, 6759, 19649, 14114, 339, 27713, 595, 267, 2349, 553, 1723, 10790, 267, 3487, 16466, 700, 267, 5395, 3757, 334, 631, 267, 918, 549, 655, 518, 717, 269, 634, 10689, 12201, 540, 10172, 269, 8426, 269, 476, 1001, 274, 282, 476, 14631, 263, 277, 2567, 15686, 275, 268, 13199, 278, 454, 290, 2086, 10428, 808, 300, 267, 13852, 2006, 15382, 267, 5153, 2380, 517, 11022, 267, 700, 19192, 918, 269, 5450, 845, 514, 6971, 782, 2275, 1021, 9019, 543, 3676, 540, 30333, 4830, 540, 922, 1198, 593, 3987, 1852, 281, 589, 9836, 2689, 543, 13849, 20400, 269, 6520, 532, 3194, 17352, 269, 476, 1001, 278, 282, 476, 2412, 281, 4029, 268, 4510, 454, 298, 7315, 9399, 267, 590, 5424, 30183, 267, 966, 2795, 534, 16692, 269, 17449, 543, 12214, 19183, 543, 6482, 540, 10172, 538, 3425, 269, 28544, 8426, 269, 476, 1001, 278, 282, 476, 1626, 263, 275, 2567, 277, 2190, 268, 277, 3451, 454, 19226, 26792, 29851, 267, 8891, 614, 26856, 590, 267, 9253, 2421, 631, 298, 267, 18548, 577, 570, 290, 294, 269, 634, 22435, 18657, 919, 2825, 2360, 593, 10172, 269, 12713, 32487, 269, 476, 1001, 280, 282, 476, 1001, 280, 281, 324, 5197, 28276, 278, 454, 301, 698, 25659, 681, 267, 6301, 8932, 681, 267, 13259, 332, 14508, 590, 267, 1696, 620, 269, 28066, 22435, 543, 10172, 281, 4284, 8344, 543, 2964, 2065, 4030, 269, 12594, 543, 13245, 28544, 269, 476, 1001, 279, 282, 476, 275, 263, 275, 2567, 29045, 268, 26326, 454, 11749, 16780, 807, 654, 300, 267, 6022, 659, 1470, 589, 267, 23111, 541, 714, 700, 267, 19953, 345, 670, 269, 5450, 845, 514, 543, 30333, 281, 25947, 30333, 4093, 3564, 9848, 8619, 2438, 1852, 269, 4144, 2896, 860, 807, 269, 476, 1001, 278, 282, 476, 2568, 263, 280, 2567, 14321, 271, 268, 14321, 279, 454, 312, 699, 7079, 1014, 589, 267, 27804, 330, 553, 21191, 269, 5450, 845, 514, 281, 31469, 538, 1480, 8377, 543, 2597, 2530, 269, 7351, 25667, 18614, 269, 476, 1001, 280, 282, 476, 279, 263, 273, 2567, 14444, 268, 13932, 454, 5353, 604, 14390, 595, 267, 2480, 515, 327, 2401, 645, 267, 5576, 928, 3187, 670, 297, 269, 6356, 4369, 540, 1558, 845, 514, 593, 2597, 2530, 538, 1875, 26817, 12185, 2043, 609, 8377, 269, 21885, 543, 11916, 7736, 4531, 11659, 1299, 12128, 269, 476, 1001, 274, 282, 476, 13199, 263, 272, 2567, 2767, 268, 4029, 454, 313, 17924, 700, 267, 20568, 670, 267, 654, 523, 2473, 267, 623, 1263, 962, 267, 570, 1014, 962, 267, 2098, 29697, 700, 269, 12186, 540, 1558, 845, 514, 593, 1973, 2604, 538, 562, 1180, 328, 12185, 2550, 281, 589, 13849, 20400, 540, 19747, 6417, 8062, 269, 4750, 540, 15214, 11364, 269, 476, 1001, 278, 282, 476, 3374, 263, 272, 2567, 1240, 268, 2918, 454, 297, 523, 9469, 589, 297, 267, 21730, 623, 267, 8891, 4471, 808, 305, 269, 5450, 845, 514, 267, 26307, 543, 19473, 29912, 6604, 269, 7351, 32722, 538, 26100, 573, 1108, 269, 476, 1001, 279, 282, 476, 3066, 263, 275, 2567, 31798, 268, 31874, 454, 299, 340, 334, 674, 267, 30605, 589, 267, 16441, 808, 267, 18961, 623, 267, 9149, 2473, 267, 674, 836, 2098, 269, 5450, 845, 514, 538, 2550, 609, 543, 1510, 3987, 281, 589, 17565, 6521, 538, 9025, 2068, 2359, 269, 31292, 4144, 2896, 1108, 269, 476, 1001, 280, 282, 476, 1240, 263, 272, 2567, 7918, 454, 290, 2086, 10428, 808, 300, 267, 5153, 2380, 517, 11022, 267, 1546, 3938, 1084, 645, 267, 28331, 2006, 594, 267, 13852, 2006, 15382, 267, 589, 668, 20345, 529, 661, 269, 5450, 845, 514, 946, 2404, 609, 4389, 1981, 540, 12110, 538, 2550, 609, 3987, 281, 589, 9836, 2689, 543, 13849, 20400, 269, 4750, 540, 12216, 779, 8376, 269, 476, 1001, 279, 282, 476, 4792, 263, 275, 2567, 14338, 276, 268, 11277, 277, 454, 298, 984, 1408, 320, 808, 267, 667, 984, 337, 5414, 1188, 320, 631, 267, 808, 384, 503, 323, 6350, 1731, 623, 267, 1696, 620, 269, 5450, 845, 514, 543, 897, 28030, 2860, 1765, 288, 9836, 2689, 269, 21885, 543, 11916, 7736, 4531, 11659, 1299, 12128, 269, 476, 1001, 280, 282, 476, 14096, 263, 278, 2567, 275, 3393, 268, 3393, 275, 454, 289, 2335, 3563, 11404, 267, 15579, 523, 10323, 267, 23514, 9469, 11219, 2158, 590, 267, 1696, 620, 269, 2052, 1004, 609, 1826, 476, 273, 3987, 2661, 3476, 982, 1346, 1510, 286, 589, 6476, 540, 9019, 538, 1004, 15748, 609, 1558, 845, 514, 610, 20962, 517, 2643, 675, 320, 1395, 8839, 543, 20083, 267, 1875, 26817, 12185, 8060, 269, 12128, 267, 25667, 1299, 5450, 29440, 269, 476, 1001, 275, 282, 476, 1626, 263, 1556, 2567, 14138, 276, 268, 14056, 274, 454, 299, 6759, 19649, 14114, 339, 27713, 595, 267, 11829, 340, 3960, 328, 700, 267, 6154, 6359, 324, 808, 6573, 267, 17214, 334, 674, 267, 918, 549, 655, 518, 717, 269, 5450, 20326, 1852, 540, 15325, 269, 8426, 269, 476, 1001, 277, 282, 476, 14917, 263, 275, 2567, 26764, 268, 279, 2641, 454, 303, 7416, 990, 1846, 6390, 966, 267, 5899, 559, 2421, 1206, 6390, 744, 267, 918, 10008, 3385, 589, 267, 966, 9820, 9007, 589, 267, 700, 2313, 577, 752, 744, 269, 2657, 2640, 540, 4550, 268, 1645, 5061, 269, 4427, 4211, 32698, 4437, 17190, 269, 476, 1001, 280, 282, 476, 11011, 281, 26552, 268, 4375, 273, 454, 289, 2946, 337, 731, 661, 267, 645, 784, 731, 966, 267, 667, 718, 21789, 6807, 808, 267, 1696, 620, 269, 476, 1691, 4458, 1981, 540, 782, 2275, 1021, 9019, 2687, 547, 31202, 8619, 2438, 3075, 4598, 538, 513, 2489, 2551, 269, 12813, 24382, 2290, 269, 476, 1001, 275, 282, 476, 280, 263, 275, 2567, 324, 4817, 277, 10170, 454, 22517, 590, 267, 595, 27364, 821, 717, 267, 14472, 6737, 681, 267, 1696, 620, 269, 9435, 9019, 5786, 543, 1558, 845, 514, 281, 589, 24794, 8826, 20165, 1353, 538, 1826, 476, 273, 15847, 2550, 269, 12128, 267, 25667, 1299, 5450, 29440, 269, 476, 1001, 273, 282, 476, 1691, 263, 272, 2567, 2537, 268, 3066, 454, 290, 5055, 525, 523, 631, 267, 28711, 731, 623, 267, 1546, 3911, 564, 674, 267, 11910, 839, 631, 267, 1546, 631, 3233, 645, 267, 4569, 24586, 595, 269, 18200, 1275, 538, 2043, 5701, 609, 7280, 268, 16715, 8069, 281, 589, 1804, 267, 6417, 20165, 1353, 269, 634, 4750, 540, 11916, 7736, 4531, 11659, 543, 5450, 29440, 269, 476, 1001, 277, 282, 476, 6200, 263, 273, 2567, 5379, 272, 268, 5379, 280, 454, 300, 1430, 338, 7131, 267, 31701, 8364, 667, 269, 5741, 687, 540, 2518, 9019, 543, 11411, 540, 2068, 689, 476, 1220, 273, 547, 476, 10711, 271, 269, 12813, 24382, 6925, 269, 476, 1220, 277, 282, 476, 274, 263, 1556, 2567, 324, 4510, 273, 454, 303, 7416, 990, 1846, 6390, 966, 267, 853, 1030, 534, 903, 1506, 333, 715, 267, 15188, 344, 22995, 267, 966, 9820, 9007, 7537, 267, 700, 2313, 577, 752, 744, 269, 5450, 845, 514, 607, 12908, 641, 8527, 10725, 281, 21885, 543, 4791, 2963, 269, 4437, 690, 518, 26585, 269, 476, 1001, 280, 282, 476, 736, 263, 272, 2567, 3451, 268, 4366, 454, 290, 1301, 7431, 808, 297, 267, 5760, 534, 590, 269, 10334, 540, 2635, 10172, 543, 15325, 269, 4860, 16695, 632, 15766, 24265, 1849, 27713, 3821, 269, 476, 1001, 277, 282, 476, 6924, 263, 272, 2567, 278, 268, 1626, 454, 309, 6359, 326, 808, 267, 22084, 18636, 559, 17241, 267, 15840, 541, 681, 267, 667, 3326, 2946, 19294, 269, 28544, 543, 11646, 5826, 269, 7788, 1023, 540, 519, 1715, 3840, 9142, 540, 7070, 269, 476, 1220, 276, 282, 476, 10755, 276, 281, 3374, 268, 5325, 454, 298, 534, 580, 584, 590, 738, 8500, 31990, 717, 267, 590, 20477, 553, 570, 267, 962, 523, 332, 529, 717, 269, 29458, 910, 3852, 374, 645, 607, 519, 18657, 1807, 540, 1558, 845, 514, 779, 1198, 593, 30333, 543, 30333, 5829, 3676, 269, 11916, 543, 21885, 24103, 1108, 1299, 25665, 269, 476, 1001, 280, 282, 476, 5379, 263, 276, 2567, 31979, 268, 32455, 454, 295, 4141, 6359, 16234, 808, 295, 269, 5027, 3441, 267, 10172, 267, 543, 2860, 269, 634, 1715, 4789, 4750, 540, 6925, 269, 476, 1220, 280, 282, 476, 3607, 272, 281, 15704, 276, 268, 16825, 276, 454, 301, 1221, 1716, 327, 21580, 700, 297, 267, 717, 584, 22894, 22847, 267, 15651, 962, 267, 966, 6359, 326, 808, 267, 670, 4141, 6359, 16234, 808, 295, 297, 267, 7605, 321, 1231, 19113, 269, 17437, 22308, 16132, 543, 10172, 269, 16316, 5623, 540, 4437, 17190, 269, 476, 1001, 279, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 519, 27478, 2813, 513, 3501, 3666, 1063, 14246, 543, 4313, 780, 3719, 7227, 256, 1703, 781, 811, 547, 606, 28075, 31846, 982, 10742, 519, 3750, 269, 17451, 4862, 540, 513, 2604, 25170, 286, 715, 2100, 267, 9444, 1185, 649, 2394, 1631, 256, 16242, 31393, 1106, 950, 1079, 9212, 540, 4262, 4672, 2458, 728, 543, 7903, 16057, 267, 8108, 1208, 1186, 2059, 519, 1259, 269, 1280, 519, 27478, 267, 891, 2067, 13300, 3177, 1898, 2200, 899, 20910, 543, 3165, 269, 2991, 10122, 267, 789, 1131, 2132, 547, 741, 7404, 28075, 5979, 657, 267, 1141, 3885, 10356, 1472, 513, 18497, 13021, 3282, 17689, 585, 1769, 267, 3002, 267, 543, 5986, 6980, 269, 2052, 596, 4605, 3054, 554, 3291, 1194, 2673, 547, 707, 1920, 2818, 267, 4687, 2984, 543, 17409, 896, 519, 2571, 16657, 540, 513, 31300, 1359, 17689, 2496, 7661, 267, 1354, 10912, 621, 513, 3781, 267, 1934, 781, 1945, 4277, 827, 2469, 547, 5127, 538, 606, 28075, 31846, 269, 5502, 540, 635, 325, 344, 20974, 19843, 543, 2770, 27918, 10788, 3298, 267, 519, 27478, 11739, 696, 593, 3662, 32675, 3262, 936, 11741, 539, 6777, 269, 6884, 267, 789, 1256, 5116, 513, 1507, 3760, 2282, 519, 18109, 1141, 4587, 1453, 610, 14538, 1223, 3207, 11506, 1657, 1866, 269, 5994, 16246, 909, 972, 1169, 3781, 267, 575, 5074, 1524, 693, 707, 6068, 3283, 2879, 10212, 1782, 1927, 9944, 596, 2439, 10214, 1498, 28075, 5979, 657, 5749, 1405, 4122, 1031, 2221, 1813, 547, 2413, 8027, 3681, 267, 1565, 827, 873, 3947, 721, 5813, 883, 3504, 2081, 540, 1272, 9862, 547, 3665, 2175, 269, 1924, 1985, 942, 596, 1745, 669, 11035, 1282, 5162, 267, 3314, 1346, 19782, 1190, 2043, 945, 5828, 13792, 1216, 883, 14762, 2950, 1164, 909, 5087, 269, 1656, 6148, 267, 1175, 6148, 267, 596, 3513, 5660, 707, 3636, 5127, 513, 2370, 3063, 1932, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23210, 18246, 2197, 538, 519, 8828, 7414, 5836, 454, 298, 987, 22220, 689, 1773, 4868, 540, 6129, 3333, 710, 13488, 1558, 609, 15776, 320, 689, 14811, 4565, 611, 30609, 1431, 585, 713, 3018, 781, 23593, 10004, 269, 1403, 596, 1336, 1871, 538, 713, 3381, 543, 6999, 547, 948, 713, 8756, 269, 1411, 666, 6494, 513, 21856, 1210, 713, 3095, 4179, 2517, 4226, 269, 569, 270, 298, 987, 22220, 303, 523, 1676, 269, 594, 723, 1185, 519, 17979, 540, 5870, 609, 15776, 320, 5892, 9625, 596, 666, 1294, 938, 2250, 7044, 593, 713, 1404, 4289, 281, 10059, 2517, 4226, 269, 569, 13624, 785, 4565, 611, 311, 25440, 4289, 269, 14811, 4565, 611, 9356, 593, 1018, 781, 2630, 519, 1216, 781, 2627, 543, 1018, 781, 1657, 621, 269, 14811, 4565, 611, 7710, 519, 1158, 781, 1034, 9058, 18353, 269, 2060, 13515, 602, 1331, 519, 19566, 10426, 720, 267, 14522, 267, 7414, 19566, 267, 645, 24652, 267, 4993, 267, 5617, 1125, 267, 30188, 267, 22728, 28573, 267, 519, 8895, 777, 31310, 18475, 267, 14914, 6816, 267, 3943, 2717, 29498, 807, 267, 8835, 267, 519, 12144, 1519, 15840, 24252, 267, 5101, 11076, 2475, 267, 634, 8832, 2694, 540, 4516, 267, 23529, 267, 16157, 267, 19360, 267, 519, 3703, 543, 9721, 1772, 956, 267, 2342, 267, 11335, 267, 5527, 267, 4000, 267, 519, 22583, 8574, 267, 3567, 267, 10476, 543, 25591, 267, 12868, 267, 14466, 7699, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 296, 6921, 5622, 5020, 257, 607, 851, 540, 834, 16300, 16337, 1315, 23089, 1315, 21069, 3204, 687, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 1012, 17270, 519, 22478, 20028, 19336, 692, 1103, 713, 3296, 267, 649, 786, 2263, 513, 5124, 1599, 602, 1939, 525, 519, 12575, 3845, 5119, 1063, 1079, 5036, 540, 17326, 7645, 2798, 267, 2387, 343, 319, 543, 2387, 344, 18269, 634, 12575, 3845, 267, 849, 1634, 607, 519, 23821, 839, 327, 12888, 3845, 267, 568, 513, 2268, 540, 519, 3017, 1063, 1079, 9696, 269, 769, 713, 2796, 267, 621, 786, 581, 1031, 547, 22945, 519, 4744, 25630, 640, 1063, 519, 1079, 5036, 540, 2798, 780, 6524, 649, 4685, 883, 519, 1599, 267, 1577, 781, 3888, 543, 1104, 519, 2556, 8021, 1384, 3499, 7090, 454, 256, 26921, 3888, 11885, 454, 7884, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 7884, 3086, 267, 1577, 781, 1491, 513, 1413, 693, 519, 1599, 15040, 1384, 3499, 7090, 454, 3698, 12337, 318, 539, 527, 5091, 2700, 24624, 3287, 267, 586, 267, 552, 27432, 267, 3808, 532, 24624, 2187, 825, 8173, 825, 5286, 269, 526, 6783, 630, 273, 323, 540, 2450, 544, 343, 333, 1141, 544, 568, 7003, 3287, 264, 543, 562, 568, 7003, 12169, 4917, 1038, 22478, 3845, 5119, 1063, 1535, 543, 586, 563, 825, 8173, 7884, 763, 1599, 3217, 2185, 7440, 1384, 268, 2387, 343, 319, 543, 2387, 344, 29699, 634, 1079, 5036, 540, 17326, 7645, 2798, 269, 3962, 1448, 568, 6719, 607, 513, 4737, 538, 513, 476, 273, 291, 17877, 5044, 563, 268, 2387, 22668, 29699, 589, 12939, 1871, 1031, 547, 3313, 952, 1079, 2798, 616, 834, 29148, 2614, 257, 547, 581, 2808, 513, 6474, 563, 268, 2387, 321, 15929, 24624, 29699, 589, 476, 273, 291, 5119, 602, 23403, 519, 23451, 585, 1142, 10155, 540, 519, 2798, 538, 2387, 343, 319, 543, 2387, 344, 18269, 901, 5119, 568, 1031, 547, 2327, 602, 519, 1599, 1152, 15109, 2798, 602, 2887, 1369, 519, 9138, 23451, 780, 2162, 19461, 1944, 519, 8779, 19336, 692, 763, 1101, 1900, 538, 519, 1599, 568, 547, 3355, 1125, 519, 1942, 5119, 267, 799, 786, 4558, 519, 12575, 9883, 1063, 519, 2798, 538, 2387, 343, 319, 543, 2387, 344, 18269, 634, 1942, 5119, 568, 513, 476, 273, 291, 17877, 5044, 609, 7516, 25464, 343, 15481, 1341, 476, 272, 264, 1535, 630, 344, 15481, 1341, 476, 272, 264, 12452, 1141, 2387, 343, 15481, 319, 543, 2387, 344, 15481, 319, 616, 519, 1297, 540, 2798, 538, 2387, 343, 319, 543, 2387, 344, 12452, 6606, 269, 634, 1101, 4737, 543, 6241, 540, 519, 1942, 5119, 616, 3355, 1242, 547, 21325, 267, 607, 789, 786, 711, 581, 1031, 538, 519, 19106, 540, 519, 12575, 9883, 780, 3499, 7090, 454, 343, 15481, 815, 1535, 17482, 314, 272, 2639, 344, 15481, 815, 586, 17482, 314, 272, 2639, 322, 739, 24624, 815, 5286, 25910, 9230, 343, 15481, 1341, 476, 272, 267, 586, 15481, 1341, 476, 272, 4917, 7884, 2162, 17270, 519, 22478, 5940, 1734, 692, 763, 1985, 1900, 568, 547, 12337, 519, 12575, 9883, 1063, 519, 2798, 538, 2387, 343, 319, 543, 2387, 344, 18269, 901, 568, 2944, 1210, 513, 29005, 8520, 602, 12055, 919, 936, 519, 2798, 538, 2387, 343, 319, 543, 2387, 344, 18269, 1280, 1142, 6292, 540, 2798, 267, 519, 1599, 1939, 525, 519, 28070, 3845, 1063, 873, 543, 11974, 952, 621, 568, 1447, 982, 519, 12939, 1871, 2387, 22668, 18269, 1403, 621, 568, 267, 519, 1942, 568, 1305, 547, 476, 271, 282, 6382, 267, 621, 568, 1305, 547, 476, 272, 780, 3499, 7090, 454, 1721, 1775, 538, 2039, 263, 272, 267, 1535, 15481, 1341, 476, 272, 2187, 825, 585, 795, 538, 2039, 263, 272, 267, 586, 15481, 1341, 476, 272, 2187, 1038, 952, 5286, 18994, 325, 9548, 6357, 15929, 24624, 5157, 910, 476, 272, 267, 795, 910, 476, 272, 316, 2187, 2018, 28364, 5091, 626, 815, 476, 271, 454, 2018, 585, 737, 538, 2039, 5560, 574, 5014, 2187, 3546, 28364, 5091, 626, 6834, 630, 343, 25208, 6012, 328, 910, 476, 272, 316, 910, 586, 25208, 6012, 329, 910, 476, 272, 8079, 2608, 27210, 7386, 1535, 25208, 6012, 328, 910, 476, 272, 316, 910, 586, 25208, 6012, 329, 910, 476, 272, 2639, 3546, 12467, 2018, 28364, 5091, 626, 815, 5286, 28460, 263, 2017, 337, 5091, 626, 994, 2018, 952, 28364, 5091, 626, 2999, 552, 27432, 912, 3546, 1942, 815, 476, 271, 454, 2018, 3116, 912, 3546, 1942, 815, 476, 272, 454, 7884, 763, 28070, 3845, 1063, 1079, 2798, 3230, 343, 2330, 543, 3230, 344, 2330, 568, 17223, 1210, 519, 1739, 4542, 1384, 16465, 323, 3287, 267, 586, 264, 815, 1422, 6912, 3189, 8999, 3709, 328, 284, 272, 8703, 333, 348, 630, 343, 10983, 910, 586, 10983, 8203, 273, 8679, 9681, 3602, 3230, 333, 2330, 568, 519, 1297, 540, 7516, 538, 519, 2798, 780, 2162, 5455, 323, 908, 519, 8779, 19336, 692, 5629, 519, 1942, 814, 1044, 17223, 585, 513, 6292, 540, 2798, 267, 519, 1599, 10311, 519, 1942, 5119, 676, 4466, 519, 5934, 1942, 1851, 1614, 2009, 3681, 1384, 272, 269, 634, 1942, 540, 2655, 23082, 519, 1699, 1448, 538, 2387, 343, 319, 609, 519, 1699, 1448, 538, 2387, 344, 319, 563, 273, 269, 634, 1942, 540, 18111, 1154, 519, 1699, 1448, 538, 2387, 343, 319, 563, 274, 269, 634, 1942, 540, 29780, 519, 1699, 1448, 538, 2387, 344, 27471, 763, 5934, 1942, 568, 1287, 3773, 547, 519, 7222, 1591, 538, 519, 1942, 5119, 780, 3499, 7090, 454, 322, 739, 24624, 5157, 267, 795, 316, 815, 1295, 18692, 825, 1942, 24624, 5157, 910, 476, 272, 267, 795, 910, 476, 272, 316, 1341, 1942, 2676, 825, 1942, 24624, 5157, 910, 476, 272, 267, 795, 316, 1341, 476, 272, 2676, 825, 1942, 24624, 5157, 267, 795, 910, 476, 272, 316, 1341, 476, 272, 2676, 994, 7884, 2162, 4825, 9506, 519, 22478, 20028, 19336, 692, 7661, 267, 519, 1599, 7024, 519, 12575, 3845, 5119, 267, 799, 568, 519, 5377, 28878, 1016, 9795, 540, 519, 1942, 5119, 630, 1410, 6984, 519, 1101, 4737, 543, 6241, 6393, 3499, 7090, 454, 8873, 1942, 24624, 314, 272, 281, 267, 476, 272, 281, 2639, 7884, 4517, 602, 781, 621, 256, 1284, 4312, 1631, 15336, 998, 519, 3003, 1599, 585, 7384, 519, 12575, 3845, 5119, 1063, 1079, 5036, 540, 17326, 7645, 2798, 269, 1635, 1620, 713, 1599, 267, 596, 1058, 581, 2111, 547, 4019, 519, 1482, 3741, 547, 824, 5311, 12972, 2042, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 9339, 8894, 825, 5286, 269, 526, 6783, 630, 273, 323, 540, 2450, 544, 343, 333, 1141, 544, 568, 7003, 3287, 264, 543, 562, 568, 7003, 12169, 4917, 1038, 3798, 337, 1942, 5119, 1063, 1535, 543, 586, 563, 825, 8173, 825, 7516, 815, 1535, 17482, 314, 271, 2639, 825, 1535, 15481, 815, 1535, 17482, 314, 272, 2639, 825, 586, 15481, 815, 586, 17482, 314, 272, 2639, 825, 1942, 24624, 815, 5286, 25910, 9230, 343, 15481, 1341, 476, 272, 267, 586, 15481, 1341, 476, 272, 4917, 825, 585, 1775, 538, 2039, 263, 272, 267, 1535, 15481, 1341, 476, 272, 2187, 1038, 585, 795, 538, 2039, 263, 272, 267, 586, 15481, 1341, 476, 272, 2187, 2018, 952, 5286, 18994, 325, 9548, 6357, 15929, 24624, 5157, 910, 476, 272, 267, 795, 910, 476, 272, 316, 2187, 3546, 28364, 5091, 626, 815, 476, 271, 454, 3546, 585, 737, 538, 2039, 5560, 574, 5014, 2187, 7386, 28364, 5091, 626, 6834, 630, 343, 25208, 6012, 328, 910, 476, 272, 316, 910, 586, 25208, 6012, 329, 910, 476, 272, 8079, 2608, 27210, 13376, 1535, 25208, 6012, 328, 910, 476, 272, 316, 910, 586, 25208, 6012, 329, 910, 476, 272, 2639, 7386, 12467, 3546, 28364, 5091, 626, 815, 5286, 28460, 263, 2017, 337, 5091, 626, 994, 3546, 952, 28364, 5091, 626, 2999, 552, 27432, 912, 7386, 1942, 815, 476, 271, 454, 3546, 3116, 912, 7386, 1942, 815, 476, 272, 454, 3546, 1942, 24624, 5157, 267, 795, 316, 815, 1295, 18692, 7386, 1942, 24624, 5157, 910, 476, 272, 267, 795, 910, 476, 272, 316, 1341, 1942, 2676, 7386, 1942, 24624, 5157, 910, 476, 272, 267, 795, 316, 1341, 476, 272, 2676, 7386, 1942, 24624, 5157, 267, 795, 910, 476, 272, 316, 1341, 476, 272, 2676, 3546, 12467, 825, 2132, 1942, 24624, 314, 272, 281, 267, 476, 272, 281, 2639, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20684, 12834, 676, 7338, 717, 269, 23045, 4083, 454, 288, 18308, 540, 2442, 5708, 1419, 2243, 519, 1158, 1472, 873, 676, 10213, 2984, 602, 2992, 741, 1158, 269, 769, 865, 3257, 267, 891, 4589, 1683, 513, 2556, 543, 3006, 3532, 16555, 593, 4207, 2152, 269, 901, 729, 1100, 1114, 585, 519, 2442, 5708, 4589, 540, 519, 16972, 5736, 269, 769, 713, 1557, 267, 594, 1413, 693, 835, 540, 12070, 330, 773, 19811, 779, 14758, 8153, 2835, 267, 9839, 543, 3163, 630, 335, 21242, 538, 476, 6642, 274, 264, 607, 1134, 607, 4930, 689, 16972, 2564, 13746, 267, 1519, 519, 22720, 297, 269, 12344, 711, 607, 4922, 1634, 1631, 607, 8176, 28726, 267, 19811, 267, 899, 28726, 267, 5143, 2984, 827, 2152, 538, 16972, 4789, 602, 646, 4941, 547, 16472, 269, 769, 9839, 543, 3163, 267, 19811, 3217, 2832, 693, 513, 3621, 2259, 602, 1253, 5962, 1864, 607, 1134, 607, 1082, 3988, 540, 1010, 5736, 281, 17634, 2390, 2713, 2831, 610, 1018, 568, 1572, 2048, 341, 643, 529, 1254, 10200, 19811, 28420, 1079, 2010, 540, 7189, 281, 538, 14724, 2474, 267, 1434, 7189, 543, 3983, 7189, 269, 589, 7074, 4550, 8686, 643, 529, 1254, 626, 267, 19811, 2982, 1010, 1378, 16786, 998, 1010, 21087, 626, 267, 519, 1799, 7394, 3220, 269, 26637, 5484, 329, 592, 807, 945, 2853, 30907, 4915, 593, 513, 25091, 1915, 3957, 25844, 2088, 269, 22682, 267, 19811, 779, 3677, 5048, 568, 602, 2564, 7189, 543, 3744, 1058, 711, 581, 19234, 593, 2713, 2831, 269, 1809, 1018, 952, 891, 7189, 849, 13736, 593, 3425, 286, 19811, 779, 1257, 533, 2294, 1010, 3988, 685, 1719, 676, 11021, 607, 1454, 269, 2755, 8156, 25844, 2088, 267, 5484, 329, 592, 807, 8195, 6901, 593, 1200, 543, 2982, 1010, 23304, 731, 585, 1200, 1134, 5630, 543, 1010, 3668, 540, 7881, 269, 1548, 267, 1287, 267, 729, 519, 6643, 827, 2564, 7881, 538, 519, 476, 6642, 271, 338, 286, 2986, 1576, 267, 7189, 8815, 602, 789, 2877, 547, 2259, 31719, 267, 855, 1705, 789, 991, 606, 4890, 3009, 540, 7881, 286, 2334, 2626, 568, 811, 7294, 269, 4475, 267, 594, 1331, 930, 22720, 297, 4930, 602, 1397, 16972, 7189, 685, 1378, 12886, 585, 543, 1996, 513, 1289, 585, 2564, 7881, 267, 799, 729, 606, 3390, 602, 7283, 3905, 569, 23503, 538, 519, 2564, 2046, 585, 1454, 540, 519, 13524, 2540, 563, 5649, 519, 2407, 2376, 593, 519, 6481, 28299, 4760, 3896, 563, 24171, 717, 269, 23045, 4083, 12236, 513, 1912, 6185, 269, 689, 519, 4972, 540, 2296, 693, 519, 2160, 540, 8419, 543, 4867, 1568, 693, 25763, 17906, 7991, 5441, 269, 3571, 1382, 5097, 6212, 593, 2021, 779, 543, 4008, 2090, 2152, 538, 2564, 23408, 538, 20096, 543, 2257, 5708, 3332, 607, 1134, 607, 2442, 2528, 269, 3571, 960, 814, 7902, 538, 717, 11367, 4750, 543, 513, 14911, 1557, 547, 968, 763, 2504, 540, 3053, 334, 25677, 13817, 2265, 892, 786, 2408, 16972, 15019, 674, 11881, 538, 519, 5614, 3390, 540, 476, 1708, 274, 269, 0, 763, 645, 15085, 6019, 5131, 7732, 779, 5753, 779, 7896, 18509, 13541, 3091, 891, 4388, 585, 4543, 513, 1126, 2226, 1434, 2542, 6208, 912, 26329, 1434, 2542, 6208, 454, 13014, 2386, 707, 3214, 1294, 596, 2542, 2835, 267, 14786, 610, 17476, 1169, 1554, 269, 2991, 782, 267, 3214, 1451, 676, 8384, 519, 6738, 13522, 1472, 873, 269, 968, 2691, 15637, 1118, 942, 547, 1224, 593, 741, 1378, 1107, 1256, 585, 513, 1906, 3764, 513, 1554, 1107, 621, 2982, 602, 2542, 3884, 1406, 1175, 585, 1153, 610, 1175, 585, 7820, 1004, 2223, 3081, 25562, 3690, 826, 267, 519, 5399, 779, 5753, 779, 7896, 18509, 13541, 563, 15307, 28344, 513, 5399, 6296, 454, 15371, 596, 2097, 585, 513, 12353, 1650, 5503, 267, 942, 538, 513, 1453, 779, 1404, 1858, 267, 610, 547, 1205, 1007, 2835, 267, 2119, 30010, 5399, 11564, 609, 1945, 596, 2907, 798, 1169, 3018, 269, 6056, 14440, 4245, 267, 513, 7552, 547, 519, 17365, 4558, 267, 610, 942, 693, 513, 7404, 19209, 563, 4131, 707, 3214, 4584, 741, 2835, 454, 2691, 3214, 2824, 741, 1378, 2835, 267, 789, 2461, 811, 2693, 547, 1224, 873, 1107, 543, 2972, 621, 256, 2913, 1154, 707, 1126, 3442, 741, 1378, 2835, 849, 25040, 602, 2542, 3884, 1406, 2944, 1152, 693, 1153, 563, 289, 6563, 2835, 609, 693, 25571, 2238, 454, 2690, 3214, 945, 899, 3478, 741, 3946, 18660, 267, 2119, 24228, 2835, 602, 2709, 3872, 2238, 269, 968, 25582, 1742, 543, 9702, 9397, 616, 513, 1390, 942, 547, 10994, 513, 1788, 689, 513, 1433, 2223, 3690, 826, 3081, 563, 30395, 513, 1433, 562, 809, 454, 2005, 779, 4443, 547, 1832, 909, 609, 513, 4356, 950, 621, 779, 1187, 543, 21363, 269, 1280, 1153, 21943, 3214, 267, 2119, 1374, 908, 513, 635, 325, 344, 2542, 2230, 1141, 789, 666, 1224, 1510, 19240, 563, 13014, 2386, 789, 723, 513, 5399, 3556, 454, 2252, 707, 1126, 3096, 707, 5399, 3556, 267, 3478, 873, 513, 3556, 540, 741, 1378, 666, 948, 873, 1745, 9562, 540, 741, 942, 693, 519, 5399, 2443, 1247, 3384, 1271, 1272, 1983, 563, 9596, 811, 693, 519, 645, 15085, 6019, 5131, 7732, 269, 0, 8489, 568, 13343, 4856, 321, 9116, 2817, 5244, 888, 297, 574, 4856, 321, 9116, 2817, 5244, 267, 4092, 538, 519, 9087, 1054, 1571, 540, 519, 22615, 28569, 538, 10548, 333, 26196, 267, 31579, 541, 752, 8518, 267, 3127, 267, 568, 513, 2470, 24158, 779, 27032, 543, 513, 10093, 585, 7320, 12439, 269, 1975, 8911, 936, 476, 4335, 4009, 12919, 267, 519, 6288, 568, 3957, 1310, 519, 19416, 25433, 2389, 29354, 15926, 3569, 626, 267, 13343, 4856, 321, 9116, 267, 945, 5129, 513, 4105, 1909, 538, 9591, 621, 607, 3127, 779, 1101, 3084, 6288, 269, 2060, 922, 3309, 18508, 543, 21426, 267, 28677, 8916, 267, 543, 13858, 1760, 926, 2833, 267, 13343, 4856, 321, 9116, 2817, 5244, 24643, 8436, 689, 1472, 519, 1158, 563, 763, 6288, 779, 2067, 1216, 2959, 267, 10053, 7733, 267, 519, 4527, 540, 519, 10548, 326, 18553, 5211, 267, 543, 606, 10731, 10352, 2551, 1711, 606, 4998, 1604, 585, 27683, 267, 1818, 621, 513, 3501, 7226, 585, 891, 23836, 7068, 269, 32163, 730, 538, 513, 28677, 4259, 693, 519, 9087, 1054, 1571, 540, 519, 22615, 28569, 2059, 519, 8492, 540, 519, 10548, 326, 18553, 5211, 267, 13343, 4856, 321, 9116, 2817, 5244, 568, 796, 23896, 2406, 513, 25113, 585, 7320, 12439, 269, 2060, 513, 1713, 1297, 540, 9576, 19377, 570, 22061, 267, 519, 6288, 3091, 513, 7415, 4316, 547, 7198, 7320, 538, 782, 922, 18710, 563, 290, 12643, 9116, 5244, 28678, 27176, 454, 268, 20144, 836, 14508, 19835, 630, 291, 327, 1731, 8403, 18630, 994, 268, 2549, 323, 7701, 19835, 630, 289, 6359, 3757, 328, 18630, 994, 268, 808, 327, 597, 3534, 19835, 630, 297, 327, 597, 3534, 18630, 994, 268, 667, 4026, 320, 8061, 328, 19835, 630, 299, 2129, 778, 4768, 18630, 994, 30131, 12700, 540, 13343, 4856, 321, 9116, 2817, 5244, 454, 15275, 2305, 281, 3689, 543, 6196, 652, 2817, 5244, 538, 3127, 454, 29020, 281, 3689, 26286, 11094, 5741, 538, 3127, 630, 14075, 2245, 540, 5726, 994, 15307, 21521, 538, 281, 476, 4350, 277, 630, 553, 3084, 6288, 994, 19613, 281, 24619, 538, 715, 664, 1388, 543, 623, 4768, 328, 10588, 267, 10548, 333, 26196, 16011, 267, 31579, 541, 752, 8518, 267, 3127, 454, 22704, 281, 476, 14530, 279, 269, 7918, 13483, 5998, 454, 290, 648, 9351, 281, 476, 26392, 269, 11025, 13483, 5998, 454, 289, 4428, 518, 9351, 281, 476, 8064, 278, 269, 7761, 13483, 5998, 454, 2704, 339, 3363, 281, 476, 4343, 276, 544, 1107, 476, 8099, 271, 544, 1657, 9049, 299, 454, 16524, 3363, 281, 476, 278, 3199, 276, 12664, 661, 547, 476, 278, 3445, 276, 12664, 661, 454, 23272, 3363, 281, 476, 23310, 1839, 685, 292, 547, 476, 23310, 2412, 12664, 715, 454, 25486, 783, 14175, 6420, 281, 476, 9610, 271, 268, 18231, 271, 6515, 563, 307, 17687, 16186, 281, 476, 275, 9180, 538, 5162, 547, 476, 5655, 9180, 1282, 4832, 454, 20458, 281, 22465, 267, 2429, 519, 1032, 454, 16032, 5384, 281, 476, 1428, 628, 5437, 547, 476, 1428, 628, 4873, 454, 14532, 540, 13343, 4856, 321, 9116, 2817, 5244, 454, 763, 1686, 540, 13343, 4856, 321, 9116, 2817, 5244, 7389, 1394, 547, 519, 2038, 476, 736, 628, 2540, 269, 21231, 267, 519, 1858, 729, 513, 10122, 2666, 585, 519, 3703, 267, 855, 9301, 922, 8733, 4644, 267, 621, 729, 10294, 607, 12794, 13704, 2817, 5244, 538, 476, 4350, 277, 269, 898, 729, 2663, 26948, 538, 8956, 540, 13343, 4856, 321, 9116, 267, 945, 6131, 1010, 1272, 547, 7320, 5726, 543, 5129, 513, 2629, 1909, 538, 519, 10661, 540, 519, 6288, 563, 297, 574, 4856, 321, 9116, 267, 4535, 538, 476, 6942, 276, 267, 6170, 1010, 2038, 1296, 538, 519, 15113, 540, 31579, 541, 752, 8518, 269, 1261, 2919, 513, 2620, 25505, 585, 2470, 543, 7320, 267, 799, 5555, 3366, 1864, 547, 1831, 513, 12021, 25433, 269, 1717, 267, 607, 646, 14754, 519, 4028, 7771, 538, 7320, 5095, 267, 2523, 27683, 267, 646, 5912, 539, 689, 513, 25433, 547, 513, 5726, 626, 269, 4856, 321, 9116, 8362, 5249, 2509, 9870, 4656, 827, 519, 2956, 540, 8497, 7320, 543, 9249, 563, 1103, 476, 4350, 277, 267, 896, 4856, 321, 9116, 779, 5583, 267, 12794, 13704, 2817, 5244, 729, 13166, 3964, 267, 4742, 3127, 779, 1101, 3084, 6288, 543, 18413, 519, 5748, 585, 5726, 3646, 538, 519, 2197, 269, 3683, 519, 1296, 267, 519, 6288, 9450, 538, 2450, 543, 729, 26948, 13343, 4856, 321, 9116, 2817, 5244, 538, 476, 4198, 278, 267, 607, 513, 24744, 547, 519, 812, 945, 6131, 1010, 1272, 547, 7863, 519, 3148, 779, 2067, 16782, 563, 293, 3271, 320, 543, 13056, 10044, 538, 13343, 4856, 321, 9116, 2817, 5244, 454, 297, 574, 4856, 321, 9116, 2817, 5244, 19646, 513, 3638, 9265, 267, 609, 513, 2647, 3099, 540, 2030, 543, 3662, 2249, 14762, 1369, 922, 6302, 269, 634, 6288, 568, 1753, 547, 5111, 476, 4366, 279, 2249, 540, 2371, 267, 1519, 2892, 267, 890, 788, 531, 267, 887, 327, 7236, 267, 543, 19348, 267, 799, 3565, 547, 519, 6288, 779, 18932, 3039, 2044, 269, 1452, 3309, 9249, 1683, 12062, 543, 32351, 547, 513, 21318, 540, 3662, 2249, 563, 763, 6288, 568, 1034, 4583, 585, 922, 20259, 2551, 267, 609, 1472, 476, 7742, 9576, 19377, 570, 22061, 23493, 538, 922, 10053, 7733, 269, 769, 1840, 547, 27683, 267, 13343, 4856, 321, 9116, 2817, 5244, 568, 513, 25113, 585, 1896, 824, 1347, 29487, 7320, 2249, 971, 607, 19246, 267, 682, 641, 1841, 267, 1793, 1054, 12217, 267, 22615, 18885, 3109, 12217, 267, 19481, 13650, 267, 521, 3711, 541, 13650, 267, 543, 936, 476, 7785, 2249, 540, 5017, 269, 634, 6288, 849, 8075, 513, 1713, 2551, 540, 20641, 267, 1519, 25438, 3796, 543, 1585, 2249, 540, 15315, 563, 14611, 7579, 320, 538, 4856, 321, 9116, 281, 6428, 267, 12054, 531, 267, 20144, 752, 267, 918, 9618, 6312, 267, 590, 529, 810, 334, 267, 10609, 1515, 267, 918, 3107, 534, 267, 25234, 2993, 267, 5617, 267, 7137, 267, 645, 16656, 267, 30323, 7236, 267, 623, 3121, 267, 918, 3107, 534, 267, 543, 918, 3578, 828, 563, 14611, 13056, 10044, 538, 4856, 321, 9116, 2817, 5244, 454, 268, 26495, 1023, 281, 26286, 267, 2274, 16985, 267, 18479, 11244, 267, 932, 1388, 267, 590, 3711, 541, 267, 670, 690, 1546, 518, 267, 31661, 532, 1546, 518, 267, 8187, 4425, 541, 267, 18999, 584, 267, 8187, 28522, 267, 681, 1127, 639, 3933, 4486, 267, 590, 3711, 541, 267, 543, 10793, 531, 563, 268, 20002, 281, 3212, 659, 1442, 267, 808, 21819, 674, 25717, 267, 3487, 16466, 267, 918, 1446, 324, 329, 623, 515, 9586, 267, 18844, 267, 966, 11857, 267, 3474, 820, 564, 267, 700, 2795, 532, 28202, 2313, 267, 18112, 1961, 267, 3751, 325, 8718, 267, 3220, 784, 334, 267, 667, 913, 267, 8381, 701, 14982, 267, 667, 3089, 267, 1855, 531, 267, 853, 1251, 267, 595, 768, 528, 656, 267, 543, 1530, 698, 1638, 563, 268, 1234, 696, 3796, 281, 4095, 15794, 595, 10635, 617, 850, 267, 717, 9618, 658, 267, 3751, 29154, 571, 267, 5871, 918, 11681, 267, 29154, 571, 267, 21651, 779, 22870, 704, 267, 5124, 267, 543, 18554, 700, 19123, 563, 268, 12551, 281, 10067, 848, 518, 267, 17833, 574, 1276, 328, 267, 17833, 629, 553, 340, 267, 932, 559, 11445, 267, 543, 717, 3019, 577, 563, 306, 2378, 926, 543, 23874, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2754, 454, 273, 269, 29358, 540, 476, 274, 19971, 568, 2838, 547, 1106, 513, 1857, 3908, 2754, 454, 274, 269, 634, 5934, 2671, 3854, 540, 12652, 269, 476, 276, 32763, 338, 568, 2838, 454, 275, 269, 7913, 15040, 15149, 630, 9169, 290, 264, 540, 835, 540, 519, 19971, 568, 2877, 1247, 26446, 1582, 31281, 6479, 12215, 540, 3961, 543, 2232, 6169, 454, 276, 269, 6034, 832, 540, 519, 6069, 2754, 786, 991, 513, 667, 2562, 454, 277, 269, 1323, 3498, 568, 2838, 547, 581, 1500, 585, 519, 5542, 540, 519, 2012, 540, 519, 2754, 454, 278, 269, 1323, 3498, 16030, 519, 1292, 1843, 16083, 540, 519, 2754, 568, 547, 581, 1500, 269, 901, 1843, 16083, 786, 5581, 1018, 513, 2754, 786, 11654, 1310, 922, 25465, 454, 291, 665, 3701, 2838, 585, 6220, 513, 5398, 17290, 7577, 454, 272, 269, 19577, 540, 3961, 540, 782, 519, 23265, 543, 19971, 454, 273, 269, 19577, 540, 2232, 540, 782, 519, 19971, 543, 519, 23265, 454, 274, 269, 623, 3198, 1297, 540, 782, 519, 23265, 543, 19971, 454, 275, 269, 7780, 1006, 9291, 540, 519, 6069, 5604, 1775, 4318, 269, 6069, 10805, 5604, 585, 519, 2754, 454, 276, 269, 589, 715, 8016, 630, 5591, 8629, 542, 25890, 264, 689, 519, 28867, 867, 1141, 519, 5604, 540, 519, 2754, 786, 581, 13883, 454, 277, 269, 10615, 22384, 7089, 630, 291, 2562, 264, 540, 782, 519, 19971, 454, 278, 269, 7913, 6178, 1155, 25890, 630, 9169, 290, 264, 540, 519, 19971, 0, 11990, 5696, 1074, 729, 4535, 538, 13303, 268, 31039, 26652, 693, 519, 4098, 540, 519, 5822, 2622, 2782, 269, 3245, 519, 942, 646, 1223, 3802, 267, 1010, 2395, 1419, 15538, 540, 25061, 585, 1426, 609, 1010, 7015, 543, 11078, 269, 3571, 3993, 729, 2451, 547, 6318, 519, 1614, 3214, 4805, 950, 741, 4651, 729, 31751, 883, 519, 10656, 8136, 269, 1358, 9327, 1406, 917, 952, 646, 729, 9800, 2394, 519, 19802, 540, 741, 8498, 267, 676, 8225, 7980, 267, 593, 4989, 476, 1321, 267, 476, 3707, 276, 563, 1607, 729, 519, 3169, 4090, 3627, 5462, 646, 1131, 1118, 1010, 1272, 538, 4516, 2560, 519, 2244, 540, 1010, 12325, 269, 1261, 729, 1152, 2947, 1296, 2025, 563, 12024, 1082, 1866, 945, 5030, 998, 602, 942, 267, 3627, 814, 5030, 1010, 3003, 1272, 609, 519, 2360, 540, 2022, 32034, 2566, 4524, 267, 4611, 689, 1373, 538, 513, 2112, 29773, 563, 4263, 476, 1428, 1296, 2025, 267, 3627, 22961, 5367, 693, 513, 2101, 10656, 29421, 2754, 267, 6385, 3356, 532, 998, 519, 2359, 16034, 563, 763, 1995, 1131, 6961, 17170, 547, 3627, 538, 1010, 2663, 1272, 269, 1261, 2919, 606, 538, 3178, 1702, 540, 519, 3864, 4104, 2872, 543, 9738, 3347, 689, 519, 3864, 29421, 2872, 2429, 1010, 1272, 269, 1261, 1869, 4749, 1443, 2478, 543, 14753, 693, 3486, 28503, 593, 2518, 4104, 2872, 2152, 563, 11990, 32164, 3603, 547, 4516, 538, 5147, 476, 3422, 276, 547, 11654, 1010, 15400, 5326, 547, 1628, 513, 29421, 1984, 538, 4516, 267, 689, 519, 2666, 909, 269, 1261, 2451, 24545, 609, 1269, 5611, 543, 835, 9290, 13826, 267, 4904, 6140, 609, 2835, 543, 835, 1305, 540, 9660, 269, 1879, 646, 8452, 538, 13584, 6723, 267, 645, 5861, 269, 646, 1185, 10502, 1269, 1839, 269, 5325, 538, 1010, 17927, 269, 1261, 1223, 711, 3717, 519, 1893, 267, 1185, 1100, 2816, 267, 543, 1705, 711, 917, 513, 9997, 269, 0, 9827, 3769, 538, 454, 268, 3690, 2091, 31515, 4976, 910, 12927, 519, 2596, 1374, 540, 29529, 6329, 543, 6338, 519, 9819, 540, 4908, 543, 3432, 269, 5623, 532, 23027, 16544, 8018, 910, 2689, 2596, 3601, 540, 29529, 543, 19976, 6329, 269, 9558, 2091, 31515, 11545, 6657, 910, 476, 1015, 9910, 12431, 793, 906, 1053, 666, 1574, 328, 259, 279, 269, 876, 259, 279, 269, 9262, 24591, 1269, 271, 269, 9262, 454, 1607, 4976, 568, 513, 2689, 540, 519, 2596, 3601, 540, 29529, 543, 19976, 6329, 563, 272, 269, 25732, 5951, 4908, 267, 15423, 630, 514, 4699, 1070, 17931, 543, 3432, 540, 29529, 6329, 563, 273, 269, 25732, 4908, 267, 15423, 543, 3432, 540, 19976, 6329, 563, 274, 269, 4841, 616, 849, 13934, 547, 2721, 741, 1378, 6329, 540, 513, 1978, 4908, 269, 14936, 267, 1053, 616, 4280, 547, 5635, 6329, 1759, 593, 741, 3432, 543, 4908, 563, 10743, 786, 991, 547, 581, 5432, 609, 519, 1739, 6863, 547, 2347, 519, 4976, 593, 741, 1378, 912, 6440, 29529, 5951, 454, 6440, 5951, 4908, 454, 6440, 3280, 5951, 454, 6440, 5951, 3432, 454, 6440, 19976, 5951, 0, 5970, 2055, 827, 12391, 585, 707, 5569, 540, 23522, 286, 1284, 4076, 3893, 4267, 538, 713, 2376, 563, 21803, 540, 667, 20462, 1231, 630, 306, 2940, 857, 334, 533, 699, 326, 12541, 639, 264, 568, 513, 30362, 2030, 602, 568, 513, 3444, 1063, 21642, 540, 13428, 3149, 630, 306, 2940, 857, 334, 18007, 2917, 29104, 264, 543, 15443, 548, 7233, 630, 306, 2940, 857, 334, 3203, 10306, 9850, 1040, 4706, 3762, 616, 1634, 585, 741, 18107, 514, 6438, 3337, 543, 741, 1279, 4043, 337, 2812, 269, 1358, 616, 5140, 2777, 17852, 602, 1413, 1390, 538, 16304, 30504, 563, 22296, 764, 28684, 616, 865, 1360, 2442, 891, 2395, 267, 543, 621, 779, 1100, 4898, 1946, 713, 568, 519, 2013, 269, 1703, 779, 513, 16854, 3099, 540, 891, 20036, 2370, 2371, 543, 789, 2461, 4674, 1652, 547, 1416, 585, 269, 3509, 540, 873, 666, 581, 6738, 538, 1507, 17428, 543, 1491, 909, 1360, 2370, 4055, 538, 707, 1753, 269, 1403, 596, 616, 1007, 547, 3395, 13151, 28684, 267, 519, 1507, 2179, 540, 1416, 789, 991, 949, 1745, 9642, 693, 1101, 269, 2991, 782, 267, 5749, 1406, 2777, 2371, 9277, 547, 581, 513, 2603, 540, 960, 286, 3502, 13151, 28684, 563, 2690, 513, 13151, 28684, 21689, 267, 590, 2940, 857, 334, 28828, 326, 12541, 636, 568, 513, 1590, 3620, 1511, 269, 898, 779, 513, 3787, 4686, 543, 621, 1522, 581, 2182, 547, 1265, 267, 855, 621, 779, 6157, 4502, 519, 3406, 269, 667, 20462, 514, 5899, 902, 991, 513, 2370, 811, 7509, 543, 513, 2370, 1447, 1463, 3141, 982, 930, 824, 13151, 28684, 267, 855, 713, 1360, 8966, 3168, 2030, 568, 1869, 1360, 2653, 547, 6318, 563, 12024, 1034, 13151, 28684, 267, 21642, 540, 667, 20462, 1231, 9428, 1655, 609, 22480, 10714, 269, 1358, 5963, 991, 1360, 2370, 1416, 269, 10671, 3931, 1279, 21018, 540, 942, 1063, 1216, 902, 267, 513, 2370, 3787, 540, 13226, 1631, 543, 1287, 267, 543, 513, 13566, 4087, 267, 891, 616, 1434, 2371, 585, 14987, 610, 1004, 945, 1810, 1406, 723, 513, 2603, 540, 942, 547, 535, 1380, 936, 2777, 17852, 563, 15675, 513, 8000, 2060, 667, 1778, 720, 670, 3421, 454, 5575, 267, 581, 2386, 519, 1494, 596, 946, 814, 12775, 9475, 269, 1284, 899, 1768, 2350, 27198, 17428, 1317, 519, 10036, 2337, 530, 1157, 7509, 2476, 689, 519, 5072, 269, 2422, 513, 1507, 880, 1494, 1107, 513, 1494, 602, 568, 1932, 1804, 786, 711, 3819, 1524, 3533, 2614, 543, 519, 5072, 1223, 4232, 563, 11039, 5937, 20995, 8000, 1154, 17186, 454, 1607, 30362, 2115, 1434, 12775, 267, 865, 2030, 21642, 540, 667, 20462, 1231, 538, 513, 1134, 1673, 20995, 29238, 3575, 585, 28693, 543, 13151, 28684, 269, 2107, 1118, 707, 1378, 30362, 3037, 11100, 676, 11544, 476, 274, 2694, 29238, 3037, 267, 476, 273, 2694, 21432, 5070, 267, 543, 476, 272, 851, 829, 29411, 563, 20278, 707, 2030, 538, 6505, 267, 9940, 1769, 267, 855, 711, 2407, 3141, 269, 634, 3762, 786, 6336, 741, 18107, 514, 3337, 952, 972, 779, 711, 2614, 1769, 269, 589, 5087, 610, 7532, 1922, 5217, 6885, 568, 519, 1655, 5544, 16280, 563, 4322, 2371, 4782, 11255, 5210, 1063, 476, 4792, 4113, 543, 476, 7761, 13790, 630, 1240, 4113, 543, 476, 2420, 9180, 1916, 28308, 1809, 5606, 7528, 550, 4826, 902, 454, 2704, 869, 519, 3037, 547, 3819, 4625, 1063, 1216, 902, 269, 21642, 540, 23522, 1131, 4324, 689, 5377, 14450, 1107, 27653, 621, 538, 519, 16173, 610, 513, 19943, 269, 6271, 1259, 547, 1216, 568, 547, 1491, 519, 2030, 547, 707, 10051, 16173, 543, 1577, 519, 1216, 2196, 998, 519, 1494, 543, 856, 519, 12775, 8559, 269, 1684, 713, 7466, 269, 4826, 2899, 829, 3018, 1282, 519, 4832, 267, 2899, 513, 3923, 1282, 519, 5162, 630, 326, 633, 610, 1491, 1040, 5213, 1406, 1577, 1216, 1694, 538, 519, 1494, 10487, 1356, 563, 7197, 13151, 28684, 991, 2370, 547, 1100, 13226, 267, 543, 590, 2940, 857, 334, 533, 699, 326, 12541, 639, 568, 1100, 9868, 269, 4495, 610, 7466, 513, 1032, 1282, 519, 3395, 4005, 568, 782, 713, 30362, 1131, 991, 269, 1703, 616, 20614, 30362, 18168, 269, 1411, 666, 849, 946, 707, 2834, 7059, 2777, 8690, 13226, 630, 3697, 476, 279, 281, 279, 281, 279, 610, 476, 1015, 281, 1015, 281, 1015, 264, 693, 3368, 519, 5227, 2557, 269, 589, 3500, 3146, 3161, 13226, 1131, 849, 960, 1107, 1586, 267, 693, 3368, 519, 5227, 8920, 1081, 269, 674, 23459, 1125, 519, 3037, 267, 855, 1491, 1416, 711, 547, 1205, 621, 593, 519, 2030, 563, 10673, 1406, 936, 12890, 269, 1403, 596, 798, 267, 519, 3762, 949, 6336, 741, 18107, 514, 3337, 269, 1656, 952, 596, 616, 1065, 31857, 707, 30362, 538, 519, 5614, 267, 1065, 582, 1101, 267, 1287, 6992, 1125, 563, 2005, 779, 2653, 547, 1118, 4816, 13151, 28684, 267, 543, 891, 2371, 616, 1100, 9868, 269, 4438, 519, 3395, 4005, 267, 1491, 27191, 689, 11710, 616, 693, 2547, 476, 277, 6279, 1279, 269, 14190, 519, 27191, 547, 1289, 639, 936, 693, 519, 3490, 269, 901, 1522, 1491, 513, 1906, 2395, 563, 10190, 267, 1210, 707, 9416, 610, 513, 14299, 22496, 267, 1930, 513, 1507, 8559, 267, 6529, 519, 5969, 538, 543, 6109, 519, 3037, 1472, 621, 269, 4826, 1134, 267, 543, 602, 779, 621, 269, 1715, 5072, 1376, 3395, 3533, 1107, 3597, 532, 9449, 568, 711, 2877, 563, 7312, 1007, 2030, 949, 991, 811, 7928, 1216, 902, 2394, 621, 779, 12082, 269, 13772, 621, 5402, 267, 543, 952, 519, 707, 2371, 1376, 547, 695, 337, 633, 331, 267, 2333, 707, 14450, 4908, 563, 2791, 666, 2671, 519, 1007, 2371, 609, 2828, 610, 2285, 873, 607, 513, 10516, 269, 5221, 945, 9327, 1406, 1616, 590, 2940, 857, 334, 533, 699, 326, 12541, 639, 286, 3807, 581, 6297, 827, 9140, 16995, 4544, 2371, 269, 0, 303, 5055, 529, 597, 1107, 32425, 1107, 4793, 1466, 1107, 6431, 2946, 341, 2946, 8896, 1107, 623, 21627, 13659, 324, 454, 13625, 9236, 31994, 32053, 4622, 543, 4731, 24444, 1535, 454, 13625, 24951, 9410, 13162, 3751, 1656, 29346, 2473, 454, 4517, 29346, 1535, 9410, 13162, 3751, 12789, 269, 543, 29346, 2473, 941, 519, 6801, 267, 865, 547, 3717, 267, 540, 6406, 7126, 13889, 532, 269, 2701, 729, 4535, 593, 5988, 476, 275, 267, 476, 4489, 274, 538, 570, 639, 651, 32607, 267, 17665, 24951, 9410, 13162, 3751, 267, 12789, 269, 1703, 616, 1082, 3604, 1063, 519, 1079, 267, 6306, 689, 519, 11495, 835, 281, 602, 9410, 13162, 3751, 729, 513, 1360, 1434, 2829, 2006, 945, 9447, 3001, 18531, 827, 4708, 267, 5191, 543, 9111, 1247, 29346, 2473, 269, 4595, 741, 7972, 538, 519, 476, 3422, 271, 781, 1100, 835, 814, 8719, 873, 269, 3502, 513, 4759, 267, 11578, 585, 513, 717, 843, 518, 2274, 15590, 2006, 2272, 269, 9410, 13162, 3751, 12789, 568, 606, 3979, 12677, 945, 729, 4535, 593, 5130, 476, 1428, 267, 476, 4572, 280, 538, 24611, 267, 11908, 269, 14424, 543, 25037, 9410, 13162, 3751, 267, 12789, 269, 543, 29346, 2473, 13690, 828, 569, 30434, 267, 25109, 9440, 5664, 3427, 20638, 281, 4841, 786, 1174, 519, 1114, 5380, 540, 519, 6406, 7126, 11873, 543, 5635, 270, 4186, 2858, 1079, 540, 922, 1292, 3401, 269, 29346, 2473, 4941, 519, 1482, 3364, 29346, 2473, 1705, 267, 5191, 269, 3751, 543, 29346, 2473, 1185, 1360, 3982, 543, 1360, 1114, 2081, 540, 5009, 741, 5048, 269, 543, 29346, 2473, 723, 1312, 5129, 2629, 5107, 538, 519, 6406, 7126, 11873, 540, 519, 13683, 625, 269, 3399, 4974, 6406, 7126, 11873, 281, 9410, 13162, 3751, 12789, 5288, 29346, 2473, 269, 543, 29346, 2473, 941, 1312, 15197, 1557, 9236, 31994, 32053, 4622, 543, 4731, 24444, 1535, 26110, 543, 3964, 3401, 540, 519, 3979, 12677, 1004, 269, 3733, 2296, 3332, 1382, 1957, 729, 1813, 538, 476, 276, 2395, 269, 594, 1131, 899, 606, 1557, 9236, 543, 17804, 9410, 13162, 3751, 543, 29346, 2473, 950, 621, 2501, 547, 3909, 4978, 543, 741, 18531, 267, 968, 296, 4076 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1842, 7480, 4828, 3503, 513, 21931, 4828, 4828, 6435, 7991, 1627, 26031, 10801, 707, 4081, 4876, 267, 596, 786, 2356, 581, 4280, 547, 2328, 606, 1557, 269, 3367, 519, 5767, 2984, 827, 10344, 593, 5384, 454, 2464, 6347, 312, 282, 3143, 8131, 267, 855, 12518, 6145, 5020, 18320, 910, 5682, 2371, 267, 1775, 4318, 1421, 1346, 28429, 1351, 19780, 267, 5478, 741, 1378, 1426, 543, 2285, 1055, 5135, 538, 519, 1184, 1196, 15591, 267, 538, 799, 1216, 543, 3327, 8166, 616, 5916, 676, 519, 1648, 540, 561, 6255, 269, 11153, 1296, 3516, 267, 1310, 2348, 547, 5397, 585, 1932, 1279, 3297, 513, 14903, 2407, 540, 588, 9722, 267, 2695, 324, 2718, 27666, 1373, 9447, 585, 26718, 267, 594, 5795, 909, 4189, 563, 1692, 1684, 12518, 22320, 286, 7233, 5020, 6096, 585, 8866, 910, 654, 5622, 256, 634, 4439, 7410, 2630, 1683, 1152, 513, 5618, 7650, 543, 10386, 540, 891, 2640, 269, 6258, 827, 2030, 1272, 543, 875, 2371, 1332, 609, 713, 1305, 540, 476, 1691, 25258, 689, 654, 5622, 12789, 269, 1703, 781, 513, 15971, 2534, 610, 12805, 3014, 267, 2262, 3406, 267, 6863, 563, 13625, 593, 2030, 1272, 912, 305, 908, 281, 476, 8660, 1315, 476, 1911, 454, 14454, 281, 476, 6434, 26162, 0, 29804, 12151, 5856, 9400, 681, 1662, 651, 669, 1938, 12206, 585, 2519, 593, 13303, 6054, 3079, 540, 519, 15000, 26944, 2103, 538, 519, 5240, 454, 15912, 281, 14195, 267, 590, 984, 756, 528, 454, 3963, 4769, 1406, 519, 7642, 4339, 1394, 286, 4208, 4769, 1406, 789, 9101, 950, 13609, 3357, 547, 1379, 286, 12984, 972, 1022, 4187, 286, 1452, 616, 519, 782, 3562, 334, 5432, 2055, 602, 3295, 519, 1888, 540, 519, 14195, 267, 1419, 15054, 676, 1762, 267, 14220, 1053, 269, 898, 729, 31848, 543, 17587, 31444, 622, 4432, 773, 654, 19342, 945, 2322, 621, 1655, 950, 646, 12943, 891, 2055, 609, 835, 540, 1010, 1378, 281, 968, 763, 2243, 568, 711, 1946, 782, 519, 7642, 1705, 711, 4339, 267, 855, 875, 865, 1082, 540, 873, 1705, 269, 8776, 7757, 267, 29041, 267, 5182, 1386, 267, 1141, 1705, 789, 1265, 519, 4222, 1107, 5289, 543, 2168, 1107, 547, 5706, 9495, 2368, 6011, 267, 789, 7307, 269, 1677, 2161, 602, 519, 7642, 1705, 711, 5706, 568, 547, 11716, 519, 575, 2867, 1729, 909, 5142, 902, 267, 519, 851, 16388, 8165, 267, 519, 5289, 4187, 267, 11895, 5351, 267, 543, 3140, 2796, 269, 8616, 267, 11214, 6014, 4187, 3085, 1406, 3100, 547, 581, 606, 2523, 2178, 6249, 538, 519, 14195, 2239, 563, 1103, 476, 2735, 273, 267, 2278, 9400, 681, 1662, 651, 4941, 547, 798, 1010, 851, 547, 16185, 602, 3668, 543, 4956, 547, 10994, 519, 4102, 26956, 9101, 540, 2622, 2782, 4083, 269, 18521, 1901, 689, 590, 984, 756, 528, 6645, 519, 1650, 540, 3670, 4627, 7642, 945, 28367, 513, 27693, 1996, 741, 13303, 1727, 816, 832, 269, 769, 590, 984, 756, 528, 267, 7429, 538, 26401, 543, 7066, 4565, 1074, 320, 267, 7642, 941, 575, 21724, 1369, 8938, 21144, 3108, 540, 741, 12625, 269, 634, 21647, 2451, 827, 3670, 4627, 7642, 9800, 547, 2226, 519, 3786, 543, 960, 607, 575, 9529, 19431, 338, 267, 15524, 655, 5474, 267, 543, 2766, 832, 269, 8409, 7642, 6785, 741, 942, 729, 4881, 856, 543, 3459, 547, 1106, 606, 11895, 4187, 269, 18103, 2435, 2367, 543, 2021, 945, 1185, 2760, 1354, 8149, 606, 957, 540, 5208, 267, 13401, 513, 1544, 547, 6146, 607, 1082, 13303, 10492, 607, 2009, 267, 7088, 519, 3046, 5523, 2914, 790, 31966, 267, 543, 9101, 883, 519, 4104, 269, 2859, 982, 1614, 4627, 7642, 7307, 547, 9101, 543, 15823, 540, 873, 15068, 519, 2112, 563, 6524, 1022, 540, 713, 5949, 267, 835, 540, 519, 3401, 540, 519, 27693, 267, 15182, 674, 15505, 9150, 2401, 267, 3893, 909, 593, 513, 3349, 543, 1185, 519, 14586, 1118, 513, 9153, 269, 968, 5978, 1554, 814, 2097, 269, 4107, 540, 519, 16586, 616, 4666, 269, 2913, 779, 5884, 609, 8956, 269, 5457, 602, 952, 4896, 3470, 1161, 267, 646, 1590, 2995, 519, 1158, 1018, 814, 5949, 1934, 3034, 1103, 1603, 519, 1433, 267, 681, 1662, 651, 5433, 602, 519, 476, 1220, 267, 1822, 7642, 945, 4769, 1406, 7639, 590, 984, 756, 528, 1185, 11221, 1864, 547, 2995, 741, 1650, 269, 1261, 6785, 646, 729, 10213, 519, 1650, 540, 519, 15000, 607, 1134, 269, 968, 763, 1249, 602, 519, 7642, 1705, 711, 5706, 568, 16995, 3377, 2223, 681, 1662, 651, 6941, 267, 24228, 513, 2165, 689, 2221, 779, 20750, 6625, 269, 968, 763, 12611, 568, 602, 7642, 1705, 711, 24080, 979, 547, 519, 3154, 20830, 899, 13265, 547, 519, 26718, 269, 5272, 3602, 594, 25653, 267, 594, 1336, 2984, 540, 4187, 269, 634, 2984, 941, 1175, 2760, 2322, 1927, 3034, 2691, 6340, 547, 513, 7986, 14195, 14787, 681, 1662, 651, 1121, 20047, 6998, 1946, 590, 984, 756, 528, 729, 1152, 2016, 835, 5037, 538, 513, 476, 272, 267, 1822, 22240, 1433, 269, 634, 14787, 14452, 602, 538, 2474, 540, 519, 2898, 9165, 540, 519, 14195, 267, 713, 1650, 729, 1152, 513, 1025, 760, 269, 901, 1102, 584, 7007, 681, 1662, 651, 269, 968, 11039, 267, 594, 1767, 2048, 2252, 596, 1491, 602, 1025, 760, 543, 1039, 621, 547, 519, 824, 1025, 2354, 267, 543, 1832, 4946, 782, 519, 1919, 596, 1289, 1025, 2354, 596, 723, 513, 2178, 6249, 256, 685, 7536, 305, 1662, 651, 6941, 602, 851, 540, 519, 1966, 11710, 689, 14195, 12206, 267, 945, 1445, 811, 593, 13303, 6054, 267, 3079, 540, 10771, 15000, 269, 1879, 1762, 1004, 3459, 16042, 1864, 267, 6998, 1946, 1100, 835, 1185, 5143, 873, 891, 2984, 267, 646, 5143, 873, 267, 968, 26944, 2103, 561, 1221, 547, 596, 3034, 5475, 11264, 1010, 1433, 267, 681, 1662, 651, 10443, 883, 930, 4187, 540, 1010, 1378, 269, 968, 2005, 729, 513, 2698, 543, 2347, 1166, 641, 2223, 646, 3081, 269, 634, 6455, 941, 705, 903, 7356, 267, 519, 1433, 4769, 1406, 7118, 856, 922, 4434, 267, 543, 621, 2760, 4682, 883, 1957, 3724, 269, 968, 296, 729, 12777, 543, 20019, 693, 519, 1490, 1074, 2223, 646, 1767, 269, 968, 296, 1767, 547, 8885, 713, 1433, 949, 6146, 1250, 1603, 4876, 1848, 681, 1662, 651, 779, 7887, 29359, 729, 950, 513, 7986, 6014, 1433, 8630, 5828, 621, 1524, 1317, 789, 941, 7092, 689, 968, 29804, 12151, 9854, 1848, 1809, 681, 1662, 651, 6785, 602, 713, 729, 711, 1175, 1776, 1433, 827, 519, 14195, 267, 621, 1185, 3063, 4644, 19601, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 16024, 1014, 6424, 570, 992, 8822, 779, 1849, 1470, 813, 12286, 607, 513, 1283, 23408, 1788, 538, 2475, 454, 268, 20844, 23045, 3081, 5840, 568, 1631, 16175, 8508, 32044, 543, 7292, 29686, 454, 268, 16024, 2103, 934, 2224, 23886, 807, 540, 8720, 909, 2622, 2782, 4083, 9197, 1307, 454, 268, 27016, 2006, 654, 1228, 2142, 1941, 281, 16024, 2103, 666, 543, 1058, 2721, 19320, 1063, 519, 476, 4350, 271, 338, 543, 2221, 454, 268, 834, 22142, 30391, 1480, 23535, 7190, 2437, 3081, 14787, 24204, 1998, 4498, 926, 4171, 11655, 1331, 9291, 27176, 543, 4446, 871, 15525, 0, 763, 2749, 540, 7507, 1185, 1599, 539, 607, 513, 14081, 585, 5553, 267, 1373, 12199, 676, 513, 14130, 269, 634, 12081, 540, 25840, 19332, 2429, 519, 1101, 2540, 729, 4904, 609, 678, 3999, 532, 267, 9518, 3949, 267, 543, 16132, 269, 769, 476, 4510, 14514, 267, 646, 729, 3957, 9598, 1807, 540, 7507, 267, 513, 2140, 602, 1500, 1866, 23279, 267, 4250, 602, 19332, 729, 4742, 1932, 3532, 267, 543, 1589, 602, 519, 2924, 540, 519, 14130, 1131, 4166, 27298, 269, 898, 729, 1317, 540, 713, 267, 602, 513, 1895, 540, 4936, 6845, 2209, 3366, 676, 5696, 583, 639, 543, 18706, 3780, 18272, 3990, 19332, 676, 588, 629, 6883, 1864, 269, 1717, 267, 782, 729, 711, 17468, 607, 789, 1185, 12479, 543, 513, 15180, 1063, 25840, 19332, 779, 683, 15343, 342, 4239, 822, 1014, 630, 15367, 729, 1010, 25752, 264, 543, 1010, 11967, 3659, 16205, 4165, 3415, 13264, 856, 607, 789, 7722, 538, 513, 1379, 6560, 269, 4256, 4655, 1131, 2063, 585, 1296, 2394, 4239, 822, 1014, 6368, 10294, 2112, 593, 4165, 3415, 543, 17204, 1864, 269, 2060, 1010, 11515, 18272, 3990, 543, 4165, 3415, 17204, 267, 4239, 822, 1014, 267, 945, 1131, 2663, 581, 1634, 547, 519, 4936, 1004, 607, 31217, 267, 1336, 5128, 538, 513, 2990, 540, 1379, 1369, 519, 4936, 10340, 269, 10801, 1010, 12081, 267, 31217, 1131, 1831, 835, 540, 519, 1034, 3811, 3401, 538, 1686, 543, 2981, 7507, 689, 513, 14081, 547, 513, 14762, 10504, 269, 1635, 6313, 1585, 3140, 6054, 267, 649, 616, 2111, 547, 2744, 513, 1134, 25454, 1620, 540, 875, 519, 12081, 540, 31217, 729, 4607, 676, 519, 4936, 1004, 543, 1256, 31217, 5128, 563, 20606, 639, 685, 4483, 883, 606, 10700, 2990, 540, 1379, 729, 3500, 543, 7580, 593, 1010, 851, 269, 1261, 4718, 1010, 11515, 25840, 19332, 779, 14081, 3111, 1813, 547, 16132, 543, 4655, 269, 31217, 8359, 547, 1491, 513, 1454, 811, 15739, 564, 1935, 547, 1379, 267, 676, 7930, 8236, 10343, 543, 17192, 1851, 1010, 9905, 269, 2290, 1383, 540, 713, 666, 581, 2938, 998, 513, 5463, 872, 9783, 676, 31217, 538, 476, 275, 14514, 269, 634, 31885, 14753, 540, 9591, 513, 968, 3656, 1184, 585, 970, 10407, 865, 602, 519, 16167, 1522, 811, 3362, 581, 2111, 547, 1491, 2962, 585, 1022, 4636, 338, 2944, 873, 543, 9156, 544, 821, 903, 970, 9285, 689, 873, 1848, 898, 4422, 593, 547, 2161, 519, 1184, 540, 5126, 543, 6051, 540, 970, 9285, 2724, 666, 581, 2352, 585, 1346, 945, 616, 2192, 610, 4057, 2483, 8923, 6443, 5530, 300, 1712, 547, 1224, 519, 2407, 3561, 0, 4263, 5303, 538, 18289, 267, 649, 946, 938, 5499, 23621, 300, 7171, 22623, 658, 24743, 547, 1521, 9002, 609, 9793, 547, 4049, 2175, 540, 6366, 2212, 6794, 269, 634, 23621, 300, 7171, 1568, 7258, 513, 4816, 779, 2067, 2212, 2208, 267, 1818, 621, 513, 1928, 1652, 543, 2922, 2126, 4781, 269, 5221, 540, 713, 267, 938, 5303, 538, 18289, 19353, 616, 2111, 547, 948, 865, 1082, 9002, 543, 1294, 16854, 267, 1272, 19145, 2164, 563, 5522, 698, 1470, 576, 874, 3315, 568, 513, 2212, 3337, 22775, 640, 602, 5540, 513, 9645, 1297, 540, 9002, 269, 1306, 865, 1082, 9002, 616, 4299, 676, 713, 621, 779, 1434, 585, 3237, 547, 917, 875, 547, 2697, 519, 2783, 269, 14268, 2356, 5469, 602, 741, 4816, 779, 2212, 3337, 2048, 3286, 3085, 1406, 1413, 1318, 685, 543, 4352, 1034, 1072, 1416, 4648, 786, 1152, 2268, 519, 18592, 547, 1118, 2386, 602, 519, 2212, 568, 3395, 607, 4397, 267, 621, 779, 8966, 585, 873, 547, 22945, 519, 2212, 3337, 22775, 640, 676, 1210, 7403, 269, 901, 2022, 14439, 875, 3237, 543, 19353, 666, 2268, 519, 2212, 547, 2697, 602, 513, 4816, 814, 12735, 1470, 576, 874, 3315, 563, 2005, 779, 711, 16613, 585, 9002, 547, 581, 8995, 609, 1312, 12735, 1470, 576, 874, 3315, 543, 12475, 545, 3326, 529, 269, 634, 2078, 1063, 12735, 1470, 576, 874, 3315, 543, 12475, 545, 3326, 529, 568, 5594, 8966, 607, 1757, 1275, 666, 979, 538, 2901, 4287, 269, 769, 824, 1913, 267, 3006, 12735, 1470, 576, 874, 3315, 666, 2014, 12475, 545, 3326, 529, 543, 3006, 621, 779, 519, 824, 1259, 5180, 563, 4263, 5303, 538, 18289, 267, 649, 723, 513, 1804, 3060, 540, 544, 4548, 543, 546, 6758, 945, 1489, 835, 1776, 998, 741, 4816, 779, 23621, 300, 7171, 3460, 269, 2060, 713, 2501, 6266, 540, 3730, 5796, 543, 3838, 2833, 602, 948, 547, 1118, 519, 3460, 607, 3811, 543, 2653, 607, 2009, 269, 5221, 1082, 3237, 616, 7680, 12735, 1470, 576, 874, 3315, 2126, 585, 519, 1101, 942, 267, 519, 1184, 568, 1175, 607, 1007, 547, 873, 607, 621, 568, 585, 741, 4816, 269, 630, 3467, 2507, 994, 2691, 3237, 3605, 602, 741, 4816, 814, 12735, 1470, 576, 874, 3315, 267, 789, 1419, 4898, 827, 519, 2014, 543, 2436, 789, 1223, 723, 2944, 1945, 547, 2061, 621, 269, 1284, 1174, 602, 930, 3237, 5855, 602, 789, 723, 2944, 1945, 547, 3565, 547, 519, 1646, 540, 519, 2783, 267, 855, 713, 5816, 2022, 6227, 930, 540, 519, 1455, 7700, 3123, 540, 519, 2783, 267, 547, 1217, 3237, 602, 12735, 1470, 576, 874, 3315, 3006, 666, 1406, 581, 14284, 563, 2690, 1346, 7334, 827, 610, 14542, 609, 12735, 1470, 576, 874, 3315, 543, 922, 2126, 3681, 267, 596, 723, 2097, 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, 10666, 21210, 3590, 454, 10907, 17815, 543, 2353, 25489, 454, 10666, 835, 538, 2947, 4892, 23119, 689, 11959, 269, 2311, 2547, 476, 1839, 2929, 723, 18720, 8611, 610, 13027, 28591, 4345, 267, 827, 476, 280, 2929, 723, 13027, 10447, 267, 1776, 476, 1321, 2929, 610, 811, 723, 3099, 540, 13027, 4524, 15427, 676, 1585, 1604, 610, 1426, 6878, 269, 1358, 1331, 14947, 267, 7452, 267, 9044, 267, 1426, 267, 3662, 4552, 267, 5521, 29086, 267, 30143, 267, 6646, 267, 610, 1256, 2825, 2242, 899, 513, 16802, 540, 4411, 2011, 610, 4430, 11195, 563, 2304, 13027, 5114, 3217, 1747, 593, 513, 10408, 1377, 269, 1879, 606, 6784, 523, 13788, 519, 1560, 267, 621, 22262, 519, 2504, 540, 645, 268, 569, 332, 874, 14231, 799, 3132, 12489, 269, 25095, 3672, 616, 519, 3119, 8878, 2281, 269, 950, 12489, 7237, 741, 1808, 23480, 267, 789, 5612, 9594, 519, 5305, 540, 6464, 899, 2876, 8533, 269, 2876, 8533, 3123, 519, 1034, 5432, 13027, 6547, 281, 538, 519, 9224, 267, 4064, 267, 543, 5609, 4926, 267, 1277, 8533, 22262, 32125, 267, 2196, 5500, 9224, 267, 543, 28349, 4064, 269, 1403, 519, 18980, 568, 7783, 609, 3644, 610, 4551, 267, 18980, 4345, 786, 2049, 543, 786, 723, 18980, 15677, 543, 8611, 269, 1403, 1277, 8533, 568, 5950, 538, 519, 9641, 267, 621, 3123, 32560, 543, 11926, 540, 519, 16298, 540, 519, 21572, 267, 543, 519, 21131, 540, 22024, 269, 769, 519, 2960, 267, 621, 3123, 30919, 543, 32105, 269, 1656, 538, 519, 9667, 1062, 267, 621, 3123, 16081, 4771, 543, 13165, 563, 27246, 540, 2353, 25489, 912, 268, 744, 3164, 343, 17068, 547, 13802, 454, 268, 3683, 560, 574, 1637, 676, 4915, 454, 268, 26678, 543, 9422, 1966, 454, 268, 16508, 2566, 454, 13911, 540, 2353, 25489, 454, 268, 16164, 11959, 630, 10175, 3346, 27150, 267, 693, 8084, 27150, 917, 607, 8278, 22915, 267, 543, 32105, 994, 268, 28614, 11959, 630, 10175, 18720, 8611, 267, 13027, 28591, 4345, 267, 18980, 4345, 267, 11959, 547, 7452, 267, 546, 6387, 267, 9044, 543, 10447, 994, 268, 5253, 11959, 454, 268, 10684, 11959, 454, 268, 6348, 5214, 11959, 263, 718, 25489, 547, 4853, 6464, 267, 13851, 267, 2011, 5533, 994, 21618, 666, 581, 689, 7646, 547, 4049, 543, 616, 5701, 609, 4550, 7290, 8533, 267, 1232, 784, 5465, 267, 29416, 8803, 6950, 267, 595, 668, 565, 2106, 31406, 267, 16332, 8839, 269, 15822, 267, 2500, 2126, 3681, 616, 1906, 269, 20010, 4915, 609, 922, 8561, 593, 19620, 3666, 543, 10103, 3091, 1776, 4781, 269, 1452, 3681, 849, 1683, 596, 609, 3255, 547, 2263, 1114, 24866, 827, 519, 3020, 2495, 540, 1072, 269, 5502, 540, 4259, 585, 8806, 9633, 532, 519, 2589, 540, 11959, 267, 596, 949, 581, 2111, 547, 2132, 547, 513, 1533, 540, 11466, 543, 3666, 563, 25565, 4457, 6925, 630, 12839, 300, 264, 5784, 519, 2014, 540, 11959, 607, 606, 19261, 540, 519, 1418, 1062, 269, 901, 19261, 666, 581, 3361, 676, 7050, 2566, 538, 1272, 267, 4057, 8192, 5079, 267, 22376, 1375, 880, 2007, 5465, 267, 543, 9449, 2242, 269, 769, 2489, 267, 11959, 1267, 689, 513, 4617, 2783, 267, 2901, 519, 5761, 568, 4617, 267, 3056, 547, 7929, 10835, 630, 338, 928, 22689, 267, 3819, 23472, 267, 4881, 610, 7249, 6479, 9224, 267, 765, 22689, 5148, 610, 519, 838, 22220, 568, 4617, 267, 3056, 547, 14927, 1145, 543, 22024, 13250, 630, 560, 4428, 532, 9224, 267, 9667, 1966, 5148, 610, 519, 8459, 568, 4617, 267, 3056, 547, 513, 13438, 543, 25874, 540, 519, 4761, 543, 8401, 1062, 267, 607, 1134, 607, 6553, 8375, 547, 519, 2212, 543, 519, 2627, 540, 519, 1560, 269, 2107, 519, 6797, 1599, 568, 4617, 267, 3056, 519, 4064, 10835, 971, 607, 21422, 267, 751, 2130, 610, 11909, 344, 4064, 269, 2859, 1419, 267, 3344, 540, 811, 982, 835, 1826, 540, 1627, 296, 8467, 616, 1459, 563, 32207, 958, 596, 786, 581, 11117, 1759, 593, 707, 1378, 2189, 11156, 543, 1648, 1377, 269, 1656, 513, 2126, 1544, 786, 581, 1500, 547, 3142, 707, 1560, 1394, 547, 3666, 269, 901, 1522, 2882, 22591, 267, 607, 1134, 607, 10786, 4915, 267, 8192, 5796, 267, 543, 1627, 296, 717, 784, 5751, 269, 769, 2489, 267, 519, 4640, 585, 8156, 11959, 3322, 9023, 519, 6553, 267, 6117, 856, 519, 2842, 267, 15018, 909, 519, 14927, 1145, 267, 543, 14304, 519, 5817, 540, 19518, 563, 307, 805, 906, 3414, 3600, 17815, 454, 272, 269, 2353, 21544, 18980, 4345, 267, 18720, 8611, 281, 649, 946, 22244, 476, 736, 263, 312, 532, 2473, 21628, 1070, 799, 7222, 547, 3193, 16736, 18980, 267, 22244, 476, 1556, 263, 5226, 15616, 1070, 22244, 476, 275, 263, 3891, 2871, 264, 543, 26838, 476, 736, 263, 293, 1263, 15616, 1070, 28882, 18980, 4345, 1039, 772, 289, 476, 273, 263, 313, 534, 11809, 340, 1070, 6599, 332, 1355, 18980, 4345, 1039, 16038, 476, 1240, 263, 5226, 534, 561, 26820, 1070, 3063, 1448, 962, 532, 8126, 543, 13660, 476, 1691, 20573, 320, 11809, 14241, 264, 666, 581, 1360, 3730, 1932, 563, 273, 269, 2353, 21544, 10447, 281, 22591, 666, 2569, 19357, 658, 6553, 267, 2087, 543, 3666, 519, 4761, 1062, 267, 2569, 543, 11198, 22024, 543, 943, 5586, 332, 267, 2333, 519, 4390, 540, 519, 9641, 267, 9350, 519, 8401, 1062, 538, 1931, 547, 1832, 519, 21572, 4228, 269, 1284, 946, 22008, 476, 2420, 24867, 1014, 16515, 1070, 22008, 476, 1704, 263, 4537, 534, 11809, 784, 1070, 772, 289, 476, 1724, 263, 8722, 328, 1744, 340, 1070, 700, 308, 476, 277, 17347, 784, 2098, 14241, 1070, 5254, 476, 3607, 263, 313, 537, 5842, 9149, 1070, 5254, 476, 2412, 263, 293, 1263, 7043, 1916, 274, 269, 8278, 22915, 2433, 22591, 666, 9350, 519, 6553, 267, 2087, 519, 4761, 1062, 267, 1163, 601, 14927, 1145, 543, 3002, 267, 9522, 1518, 519, 838, 22220, 1627, 328, 267, 543, 9522, 1518, 1973, 1163, 601, 2842, 547, 14867, 21422, 269, 1284, 1419, 946, 22244, 476, 275, 630, 3891, 2871, 1070, 22244, 476, 1556, 263, 5226, 15616, 1070, 26838, 476, 4029, 263, 293, 1263, 26757, 1070, 9501, 476, 1015, 630, 311, 826, 670, 2967, 1070, 1975, 476, 280, 263, 312, 532, 700, 532, 2372, 534, 1070, 772, 289, 476, 736, 27456, 328, 1744, 340, 1070, 772, 289, 476, 1704, 263, 10481, 1744, 340, 1070, 4306, 476, 3607, 263, 313, 340, 5842, 15073, 1070, 670, 476, 278, 22829, 1156, 9093, 1916, 275, 269, 670, 1161, 263, 308, 4135, 545, 7559, 2567, 670, 1161, 568, 513, 1455, 13027, 2068, 267, 6353, 5631, 676, 6505, 2699, 610, 12779, 30919, 540, 1585, 7306, 593, 519, 2960, 267, 8375, 835, 1310, 519, 824, 267, 538, 4049, 2013, 267, 949, 3262, 782, 936, 519, 1560, 267, 666, 581, 8650, 12614, 610, 5312, 269, 6970, 4310, 676, 2842, 1700, 322, 1245, 610, 2842, 13463, 520, 19800, 4323, 267, 10638, 540, 2149, 1627, 328, 267, 610, 13250, 540, 3002, 538, 519, 7181, 543, 24026, 269, 3600, 17815, 2798, 649, 666, 3442, 689, 22244, 476, 275, 263, 3891, 2871, 1070, 700, 308, 476, 276, 263, 2419, 328, 14858, 1070, 772, 289, 476, 1321, 263, 293, 1263, 9093, 1070, 26838, 736, 263, 293, 1263, 15616, 1070, 772, 289, 476, 1691, 263, 8722, 328, 1744, 340, 1070, 667, 308, 476, 1691, 20573, 320, 2098, 295, 14241, 1070, 772, 289, 476, 2412, 263, 2171, 328, 11809, 784, 1070, 9501, 476, 277, 22829, 534, 962, 532, 808, 26820, 1070, 5254, 476, 1839, 24867, 1014, 1744, 340, 1070, 5254, 476, 4391, 11583, 21628, 4236, 1535, 340, 1070, 5254, 476, 3607, 263, 313, 340, 5842, 9149, 1070, 22008, 476, 1321, 263, 313, 327, 784, 654, 534, 1916, 276, 5379, 268, 13975, 271, 3057, 869, 324, 267, 27292, 267, 1627, 290, 267, 670, 275, 288, 476, 274, 299, 276, 269, 0, 299, 659, 755, 9068, 21439, 1419, 2270, 5266, 1164, 5666, 540, 5214, 2339, 1317, 540, 3908, 5377, 1216, 5135, 566, 543, 5266, 1164, 11159, 566, 3928, 269, 634, 9245, 26307, 540, 595, 1066, 1105, 2801, 7974, 267, 513, 2101, 1895, 540, 519, 6389, 16329, 320, 267, 2874, 540, 568, 641, 1066, 1355, 9848, 1356, 565, 3866, 330, 2643, 9848, 1356, 565, 25543, 5930, 630, 31270, 294, 25629, 264, 5627, 7814, 641, 550, 2033, 4779, 29136, 267, 513, 8984, 2808, 606, 9542, 7271, 547, 2837, 540, 519, 9245, 269, 1323, 26087, 525, 540, 4295, 1283, 21439, 4951, 602, 519, 3892, 540, 568, 641, 1066, 1355, 717, 291, 294, 25629, 9775, 609, 4262, 2627, 2837, 630, 306, 4306, 1070, 513, 6935, 6829, 538, 519, 570, 25523, 292, 750, 967, 324, 311, 540, 26307, 609, 476, 10436, 3327, 8444, 630, 307, 13052, 10436, 1040, 645, 3757, 3481, 717, 291, 294, 25629, 941, 9571, 538, 24435, 536, 9233, 267, 11934, 267, 543, 9381, 7286, 543, 22725, 755, 9068, 21439, 269, 4256, 11606, 538, 7286, 21439, 11081, 3448, 547, 524, 1066, 1105, 2801, 565, 630, 534, 568, 641, 1066, 1355, 717, 291, 28566, 264, 609, 2810, 3845, 689, 5757, 28182, 267, 10834, 3560, 540, 4839, 3481, 717, 291, 294, 25629, 689, 2244, 547, 12748, 5054, 269, 901, 6935, 729, 6829, 538, 519, 645, 3757, 3481, 8957, 1772, 641, 1066, 1355, 570, 25523, 5930, 630, 289, 3951, 264, 4994, 269, 645, 3757, 3481, 717, 291, 294, 25629, 2270, 513, 1114, 1297, 540, 7814, 641, 550, 2033, 4779, 29136, 543, 849, 513, 1114, 4110, 540, 18861, 566, 267, 799, 941, 3254, 547, 581, 1644, 547, 2011, 2837, 543, 3037, 9063, 3842, 1079, 9241, 2919, 9938, 625, 281, 24399, 630, 290, 5670, 5314, 5223, 540, 645, 3757, 3481, 570, 25523, 564, 1667, 264, 543, 631, 6630, 630, 300, 14007, 566, 4994, 540, 645, 3757, 3481, 570, 25523, 564, 1667, 1040, 901, 5098, 6257, 519, 3892, 543, 6211, 2959, 540, 717, 291, 28566, 9245, 26307, 538, 22725, 755, 9068, 5054, 267, 741, 1761, 946, 607, 2837, 9938, 625, 543, 741, 3498, 538, 18949, 532, 2250, 18626, 5210, 269, 1772, 641, 1066, 1355, 543, 4839, 3481, 717, 291, 294, 25629, 941, 9571, 538, 4756, 5666, 538, 28634, 2339, 543, 1283, 476, 276, 4699, 540, 519, 11159, 689, 476, 5325, 3864, 12647, 269, 634, 2164, 1397, 602, 711, 1152, 1804, 12647, 855, 849, 4130, 2450, 12647, 609, 1164, 538, 2198, 7607, 540, 568, 641, 1066, 1355, 717, 291, 294, 25629, 616, 14018, 585, 519, 946, 540, 570, 13052, 10436, 269, 15604, 5210, 30136, 1732, 609, 570, 13052, 10436, 10834, 602, 519, 568, 641, 1066, 1355, 717, 291, 28566, 6721, 7103, 4440, 723, 741, 8445, 7039, 1734, 1282, 713, 4005, 269, 769, 606, 6905, 1305, 540, 12647, 649, 4767, 602, 519, 3892, 540, 4839, 3481, 717, 291, 294, 25629, 9867, 15186, 1851, 519, 10720, 21439, 269, 634, 631, 6630, 14727, 6630, 3146, 24554, 539, 5210, 941, 9846, 2630, 5993, 1611, 2011, 2837, 540, 519, 6952, 618, 540, 519, 10720, 269, 12846, 267, 513, 1713, 9756, 6818, 1063, 519, 18949, 539, 2837, 543, 519, 2837, 6027, 593, 3135, 269, 634, 2164, 540, 513, 12119, 1353, 538, 8235, 12359, 518, 928, 1397, 602, 13441, 525, 540, 717, 291, 294, 25629, 543, 9830, 538, 519, 1216, 6241, 4268, 2687, 547, 513, 12119, 4806, 267, 609, 513, 2147, 7678, 538, 17735, 28634, 2339, 543, 11159, 20637, 269, 12071, 343, 525, 543, 9830, 540, 568, 641, 1066, 1355, 717, 291, 294, 25629, 2333, 609, 3178, 267, 10834, 2504, 540, 568, 641, 1066, 1355, 717, 291, 294, 25629, 676, 6828, 476, 272, 595, 1066, 1105, 2801, 7974, 538, 519, 2620, 267, 21428, 5328, 7997, 269, 1677, 18949, 2837, 2242, 1282, 519, 17623, 3794, 18432, 3955, 26684, 658, 267, 519, 8479, 518, 16959, 553, 543, 519, 7216, 4591, 18152, 630, 349, 1691, 267, 7785, 547, 476, 1015, 267, 7785, 1608, 269, 29757, 22680, 264, 519, 3448, 3892, 540, 717, 291, 294, 25629, 538, 513, 11159, 4295, 689, 519, 1482, 8235, 12359, 518, 928, 729, 5462, 269, 1234, 24554, 539, 10720, 5210, 5815, 513, 1900, 30150, 4806, 540, 2916, 1689, 267, 609, 513, 8337, 693, 519, 12614, 540, 519, 3735, 25322, 18432, 26300, 611, 658, 267, 4553, 676, 606, 23589, 9023, 693, 519, 12614, 540, 8479, 518, 16959, 553, 543, 513, 4028, 8337, 689, 476, 276, 269, 276, 547, 476, 280, 595, 693, 519, 8479, 518, 16959, 553, 26260, 565, 18152, 5912, 1369, 1447, 982, 476, 1220, 1296, 454, 2414, 10505, 606, 9337, 610, 512, 8898, 1144, 7662, 585, 713, 1957, 267, 5225, 10505, 606, 22352, 14727, 528, 14431, 270, 7230, 15772, 32369, 269, 0, 1103, 519, 13957, 532, 1446, 543, 519, 14986 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3388, 596, 991, 547, 917, 827, 621, 563, 268, 1411, 949, 581, 5461, 281, 595, 10984, 545, 25329, 281, 1018, 1058, 594, 917, 888, 1432, 568, 519, 8544, 582, 26375, 888, 2171, 3323, 2047, 269, 3245, 513, 12214, 1448, 540, 2070, 267, 519, 8544, 582, 26375, 568, 3989, 607, 513, 1826, 540, 2241, 2695, 13904, 13423, 26375, 602, 26520, 593, 513, 21828, 22917, 2088, 6462, 676, 24561, 5160, 269, 1284, 26819, 1142, 540, 891, 2474, 912, 268, 9210, 527, 26375, 281, 513, 5160, 1500, 909, 540, 5702, 10275, 27848, 2281, 630, 29788, 610, 24388, 1738, 1070, 799, 3515, 519, 1560, 779, 5007, 2627, 543, 1978, 8219, 563, 268, 11822, 13423, 26375, 281, 29947, 835, 811, 7121, 267, 519, 2241, 13423, 26375, 568, 27648, 676, 513, 2582, 4494, 540, 2281, 538, 3346, 998, 9769, 23838, 563, 268, 8293, 13904, 630, 1598, 520, 1881, 264, 13423, 26375, 281, 7768, 540, 513, 4494, 540, 24609, 539, 630, 338, 638, 13904, 264, 2281, 593, 513, 25810, 9245, 563, 6546, 2306, 621, 20501, 267, 1318, 286, 1284, 616, 6158, 827, 513, 2731, 2241, 1826, 540, 5160, 281, 513, 2582, 4494, 540, 2281, 538, 513, 24609, 539, 3337, 269, 1677, 12398, 713, 8049, 5160, 267, 649, 1590, 11168, 602, 621, 568, 519, 829, 32050, 636, 779, 856, 25958, 4494, 267, 855, 1018, 568, 713, 888, 763, 829, 32050, 636, 568, 519, 1583, 748, 4494, 602, 3515, 519, 9703, 540, 519, 14159, 13570, 267, 602, 568, 267, 519, 968, 3128, 869, 2230, 892, 538, 799, 782, 938, 8219, 616, 24428, 269, 901, 568, 7768, 540, 1079, 6106, 543, 267, 1063, 873, 267, 972, 568, 513, 2230, 630, 704, 32050, 531, 13570, 264, 602, 3568, 827, 476, 2004, 1984, 4106, 619, 540, 19149, 908, 5714, 602, 2636, 873, 547, 13472, 1927, 563, 2005, 568, 519, 1034, 3573, 1583, 748, 9245, 538, 519, 1560, 1317, 621, 849, 24181, 938, 24026, 538, 1840, 547, 16298, 519, 829, 32050, 531, 13570, 269, 898, 568, 6059, 602, 267, 585, 713, 2601, 267, 621, 26328, 476, 2412, 268, 2004, 260, 540, 519, 2698, 2960, 2627, 563, 763, 8544, 582, 16773, 1591, 454, 2171, 723, 2907, 4330, 519, 2489, 3337, 540, 519, 8544, 582, 26375, 543, 922, 4087, 267, 799, 568, 1946, 649, 666, 1152, 2628, 2027, 3007, 547, 922, 2596, 6198, 1770, 267, 519, 8544, 582, 16773, 1591, 267, 547, 2347, 519, 31858, 4821, 540, 713, 2189, 5160, 269, 3619, 585, 621, 563, 763, 8544, 582, 16773, 1591, 568, 540, 513, 6366, 25853, 1826, 267, 540, 8544, 26067, 2096, 531, 5169, 630, 331, 5366, 31792, 10216, 540, 25782, 5169, 264, 602, 3515, 519, 1583, 748, 19659, 269, 1452, 2281, 1106, 513, 1395, 565, 9707, 609, 513, 21657, 4689, 24463, 5920, 538, 799, 1978, 2890, 341, 650, 328, 10836, 563, 763, 5946, 543, 1583, 748, 12862, 602, 616, 16290, 1063, 891, 2890, 341, 650, 328, 1683, 513, 1970, 11508, 2627, 267, 799, 2488, 606, 5140, 1858, 540, 3346, 1063, 8219, 269, 2201, 519, 824, 1688, 267, 891, 2281, 1964, 593, 513, 25810, 9245, 630, 11586, 264, 602, 3091, 2370, 4187, 547, 519, 8574, 540, 6675, 540, 1447, 982, 476, 1789, 267, 1822, 546, 5306, 976, 563, 7661, 267, 621, 1058, 581, 7074, 602, 8544, 582, 16773, 2281, 616, 1360, 19535, 269, 901, 1797, 602, 789, 1689, 741, 5920, 3362, 269, 1280, 1383, 267, 789, 616, 4767, 538, 1134, 268, 23457, 2516, 540, 1114, 12531, 950, 789, 616, 693, 1964, 267, 609, 513, 1164, 13540, 281, 32594, 5223, 563, 4002, 519, 824, 1688, 267, 607, 789, 616, 15181, 267, 789, 2333, 538, 2450, 267, 8108, 12150, 11118, 32194, 1486, 6350, 687, 543, 3152, 7477, 340, 565, 1436, 269, 10251, 267, 713, 29010, 666, 581, 513, 1966, 281, 649, 723, 547, 2911, 827, 2860, 538, 2104, 3515, 563, 763, 1292, 3483, 540, 519, 8544, 582, 16773, 2281, 630, 663, 4061, 519, 8544, 582, 26375, 264, 568, 547, 1711, 513, 4494, 540, 19149, 908, 5714, 602, 568, 5950, 1063, 6106, 540, 15098, 267, 6721, 513, 31868, 2044, 267, 1875, 3613, 1157, 344, 2627, 563, 1103, 1840, 547, 713, 267, 519, 8544, 582, 26375, 849, 1139, 4680, 519, 3560, 543, 3350, 540, 5536, 543, 2281, 1063, 19659, 267, 1851, 799, 616, 519, 32151, 14231, 267, 3238, 538, 519, 4761, 3210, 607, 12982, 18657, 2209, 269, 769, 2110, 267, 621, 568, 513, 968, 10139, 532, 892, 5160, 602, 2636, 519, 1350, 4575, 1063, 8219, 543, 519, 3560, 540, 1585, 6878, 543, 1591, 4703, 1898, 585, 519, 12214, 1134, 5630, 540, 519, 1560, 563, 268, 1411, 949, 581, 5461, 281, 4201, 665, 2335, 756, 16117, 281, 9537, 267, 6168, 267, 12580, 267, 9615, 454, 12024, 12303, 782, 2281, 538, 519, 1560, 602, 1332, 543, 1689, 267, 519, 8544, 582, 26375, 568, 513, 1761, 11134, 585, 2860, 2621, 269, 2991, 782, 267, 2860, 568, 4986, 811, 982, 513, 15817, 538, 513, 1591, 602, 3123, 621, 547, 7941, 796, 19055, 2406, 543, 1281, 711, 4431, 547, 3339, 5712, 540, 30091, 630, 3250, 2669, 1070, 4758, 4473, 547, 519, 23487, 539, 23872, 10510, 563, 300, 525, 32196, 267, 2860, 538, 519, 8544, 582, 26375, 454, 300, 525, 32196, 666, 581, 5258, 883, 1585, 6688, 4470, 593, 1141, 621, 568, 4299, 269, 7324, 873, 267, 649, 1265, 519, 1739, 563, 268, 20167, 1116, 8544, 32196, 454, 2005, 5540, 519, 5160, 602, 27788, 519, 9641, 282, 602, 568, 267, 621, 10953, 538, 519, 5247, 25714, 13570, 269, 898, 666, 2014, 9221, 1928, 267, 11213, 11522, 267, 26032, 540, 7362, 267, 8966, 561, 7927, 896, 519, 2960, 540, 519, 9221, 267, 543, 32584, 2597, 2530, 267, 1851, 1082, 824, 1919, 563, 268, 3131, 32050, 531, 8544, 32196, 454, 2026, 922, 2012, 5267, 267, 621, 5540, 519, 5160, 540, 519, 17737, 630, 704, 32050, 636, 1040, 898, 3123, 26533, 267, 14159, 1928, 267, 15353, 267, 543, 2597, 2530, 585, 1100, 7805, 2601, 269, 10251, 267, 1312, 2010, 540, 8544, 32196, 616, 5393, 10728, 543, 4163, 513, 1875, 268, 10864, 5554, 1043, 3170, 1275, 2557, 563, 268, 4033, 2010, 540, 8544, 32196, 454, 2467, 616, 811, 2010, 540, 8544, 32196, 4470, 593, 519, 5160, 789, 1860, 1317, 267, 585, 1383, 267, 829, 545, 731, 658, 8544, 32196, 9428, 538, 519, 5160, 1472, 519, 2295, 267, 4929, 7929, 2042, 543, 9395, 1145, 563, 4002, 519, 824, 1688, 267, 7113, 3821, 21420, 529, 8544, 32196, 5540, 519, 16298, 540, 519, 1449, 2873, 269, 26023, 267, 1022, 8544, 582, 16773, 16298, 568, 11630, 547, 519, 1646, 540, 513, 23872, 10510, 267, 4352, 711, 782, 8544, 582, 16773, 12970, 8850, 14377, 883, 2860, 563, 18850, 9084, 543, 27496, 540, 8544, 6139, 2993, 5557, 454, 300, 525, 32196, 5526, 538, 5111, 476, 272, 268, 273, 2550, 829, 2929, 1004, 829, 1032, 269, 10251, 267, 1004, 945, 960, 538, 519, 4070, 5823, 630, 18034, 952, 789, 616, 538, 3346, 609, 20702, 264, 616, 909, 547, 476, 2412, 2053, 811, 2693, 547, 1459, 621, 563, 1607, 10728, 1826, 540, 2860, 19754, 827, 476, 276, 267, 1822, 1004, 513, 1032, 538, 2342, 543, 476, 274, 267, 1822, 538, 519, 2475, 513, 1032, 563, 288, 6093, 8544, 32196, 3461, 568, 513, 476, 2568, 4458, 6040, 812, 945, 814, 1044, 2324, 538, 713, 1826, 540, 2872, 585, 693, 2547, 476, 1789, 1296, 269, 898, 568, 26648, 547, 1451, 602, 267, 538, 1034, 2665, 267, 621, 2356, 3217, 476, 736, 547, 476, 2412, 1296, 1310, 4598, 547, 20702, 630, 514, 24064, 2643, 267, 6517, 267, 543, 2679, 2326, 264, 2394, 2860, 10953, 563, 2690, 713, 2601, 267, 519, 2622, 2657, 9257, 630, 21766, 264, 814, 5227, 602, 782, 2477, 538, 519, 1158, 3247, 1210, 713, 1570, 538, 4070, 269, 10251, 267, 538, 476, 1001, 271, 713, 3919, 6059, 602, 267, 5103, 2518, 536, 753, 267, 476, 10219, 2929, 1004, 1472, 519, 8608, 616, 1869, 538, 2673, 3346, 609, 20702, 563, 1103, 1840, 547, 8544, 32196, 267, 713, 1570, 849, 3123, 607, 12895, 2670, 630, 24249, 15087, 538, 519, 5761, 543, 5418, 3120, 264, 543, 5761, 2860, 267, 607, 1134, 607, 2009, 22037, 1162, 6508, 689, 891, 2010, 540, 23872, 12970, 563, 268, 1411, 949, 581, 5461, 281, 595, 659, 657, 8926, 281, 1018, 568, 621, 543, 875, 1281, 621, 1860, 519, 8226, 540, 30851, 888, 2026, 596, 723, 2938, 267, 519, 8544, 582, 26375, 568, 513, 1360, 2241, 2497, 602, 814, 1082, 11580, 547, 19586, 269, 1677, 1174, 1142, 824, 630, 663, 538, 513, 811, 5432, 3803, 1448, 1070, 649, 666, 2161, 602, 621, 568, 513, 2241, 4494, 602, 2636, 519, 23510, 1063, 8219, 543, 519, 3560, 540, 6878, 267, 689, 5946, 547, 7463, 4761, 4703, 267, 8429, 998, 1082, 824, 1591, 2010, 563, 300, 525, 6139, 2993, 5557, 616, 513, 1360, 4686, 1826, 540, 23872, 10510, 538, 519, 2489, 2551, 267, 855, 267, 19890, 267, 789, 2049, 3592, 14311, 538, 1004, 945, 723, 5249, 593, 1568, 538, 3346, 609, 20702, 563, 2252, 596, 723, 513, 2182, 960, 1315, 2168, 960, 1686, 543, 5469, 9490, 561, 7927, 538, 1022, 2571, 851, 540, 707, 1560, 267, 14159, 11926, 267, 543, 6024, 23472, 267, 1294, 513, 4387, 3533, 269, 0, 268, 1548, 568, 513, 1970, 2604, 4395, 888, 268, 1215, 1281, 1970, 3046, 6248, 2604, 1860, 519, 1560, 888, 268, 1548, 3046, 6248, 2604, 1377, 3123, 14331, 888, 268, 1548, 568, 513, 6899, 3046, 6248, 2604, 888, 268, 2052, 3425, 2631, 3046, 6248, 2604, 888, 268, 1772, 476, 3066, 1970, 3046, 6248, 2604, 888, 268, 6496, 1970, 3046, 6248, 2604, 1118, 596, 13110, 888, 268, 1548, 3123, 513, 1970, 2604, 15677, 888, 268, 1548, 568, 2808, 1970, 3046, 6248, 2604, 888, 268, 1548, 1533, 814, 519, 1034, 7123, 3046, 6248, 2604, 888, 268, 1215, 798, 596, 1205, 7759, 540, 513, 2604, 15677, 888, 268, 1215, 798, 596, 1205, 7759, 540, 513, 3046, 6248, 2604, 15677, 888, 268, 1548, 1826, 540, 4365, 1281, 513, 1970, 3046, 6248, 2542, 5815, 888, 268, 1548, 568, 2808, 1970, 2604, 888, 268, 2052, 3046, 6248, 2604, 1860, 1973, 2604, 888, 268, 1772, 476, 5611, 476, 3445, 589, 1434, 1973, 2604, 888, 268, 4208, 798, 594, 1205, 513, 15677, 950, 519, 4365, 2242, 888, 268, 2052, 3046, 6248, 2604, 1860, 3207, 888, 1432, 568, 513, 1970, 2604, 4395, 888, 10303, 2011, 568, 24850, 3079, 540, 1373, 20399, 1524, 267, 519, 3350, 540, 513, 4411, 4395, 998, 513, 3636, 4395, 568, 2356, 1572, 513, 1970, 25774, 1062, 563, 20181, 25774, 1949, 1419, 2014, 4049, 11811, 610, 19711, 28323, 563, 310, 1301, 18651, 1206, 2356, 1397, 909, 593, 519, 2766, 1439, 540, 13247, 543, 20893, 10756, 1692, 1281, 1970, 3046, 6248, 2604, 1860, 519, 1560, 888, 21574, 6248, 2604, 1419, 12772, 1354, 3983, 4365, 269, 13722, 2011, 2604, 24864, 1447, 1996, 519, 1560, 267, 3850, 8031, 547, 4228, 269, 30771, 539, 8031, 666, 2322, 2604, 593, 10549, 543, 2014, 1928, 563, 1432, 3046, 6248, 2604, 1377, 3123, 14331, 888, 11854, 32496, 267, 649, 1336, 602, 519, 2039, 689, 476, 1911, 274, 547, 2999, 1911, 278, 554, 11985, 267, 1775, 4318, 1421, 476, 277, 1700, 1015, 554, 11985, 2630, 3044, 11626, 2604, 267, 729, 1034, 2693, 547, 16578, 26043, 563, 1432, 568, 513, 6899, 3046, 6248, 2604, 888, 309, 534, 657, 1767, 1004, 616, 1034, 6899, 609, 3046, 6248, 2604, 540, 476, 1789, 6279, 540, 16035, 630, 514, 32074, 1040, 1879, 621, 14380, 547, 476, 1789, 269, 274, 538, 32074, 610, 2362, 267, 610, 12772, 547, 476, 3066, 269, 278, 610, 2539, 267, 519, 1981, 540, 2295, 4323, 4679, 563, 4692, 3425, 2631, 3046, 6248, 2604, 888, 288, 269, 20212, 538, 2011, 2604, 1317, 540, 519, 4365, 610, 2242, 538, 15820, 666, 723, 18476, 2360, 593, 519, 1480, 1560, 267, 1498, 930, 1004, 616, 811, 6213, 982, 1866, 269, 2560, 968, 11947, 3046, 6248, 2604, 1281, 711, 2356, 2014, 513, 1966, 267, 8259, 621, 568, 3665, 2223, 646, 1767, 563, 3674, 476, 3066, 1970, 3046, 6248, 2604, 888, 763, 3152, 519, 2597, 267, 519, 2362, 519, 4473, 269, 634, 3046, 6248, 2604, 25864, 4422, 1657, 476, 4029, 6279, 610, 12772, 2630, 476, 3066, 6279, 269, 16453, 4262, 7400, 2604, 568, 476, 3066, 269, 10844, 6279, 563, 9989, 1970, 3046, 6248, 2604, 1118, 596, 13110, 888, 5278, 1522, 1589, 4764, 6971, 3046, 6248, 2604, 267, 20872, 1004, 547, 2879, 5622, 2763, 269, 11569, 267, 835, 1353, 5342, 676, 519, 645, 27739, 3213, 269, 538, 476, 1220, 279, 1107, 593, 875, 21804, 616, 4299, 676, 3834, 2135, 807, 1107, 1336 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1031, 676, 3988, 543, 824, 11655, 267, 713, 814, 3366, 547, 519, 31605, 602, 519, 2165, 834, 13900, 332, 781, 12213, 257, 4016, 547, 519, 28183, 269, 7743, 569, 6340, 267, 519, 28183, 568, 519, 24125, 7921, 630, 17951, 5979, 29509, 815, 18057, 28183, 264, 543, 29581, 781, 12213, 568, 519, 30635, 710, 3297, 621, 269, 769, 835, 540, 1010, 5022, 3823, 513, 6069, 4670, 9542, 267, 570, 13083, 1329, 1486, 6479, 519, 946, 540, 29581, 781, 12213, 267, 17548, 602, 267, 834, 1492, 1412, 3698, 775, 540, 519, 24125, 7921, 262, 1131, 581, 513, 1732, 2140, 267, 2094, 29581, 781, 12213, 267, 519, 30635, 710, 3297, 267, 568, 711, 3254, 257, 630, 4131, 1562, 267, 476, 13975, 1916, 291, 652, 2315, 540, 1772, 1263, 731, 454, 763, 20121, 2315, 540, 1772, 1263, 731, 568, 513, 14070, 6370, 689, 808, 269, 681, 269, 681, 269, 570, 13083, 1329, 779, 5664, 268, 24160, 10828, 10740, 269, 898, 568, 606, 1271, 2680, 538, 519, 2782, 540, 519, 23580, 1317, 621, 19752, 519, 9552, 540, 7203, 3861, 781, 7952, 2504, 6703, 563, 5475, 513, 1614, 1554, 1279, 9980, 332, 2393, 267, 606, 7952, 540, 9980, 338, 543, 13535, 27163, 1305, 1055, 585, 519, 13486, 1922, 677, 816, 540, 1772, 1263, 731, 267, 1818, 32049, 2575, 269, 1358, 8452, 543, 3459, 741, 4323, 593, 4728, 476, 273, 267, 519, 942, 540, 741, 4323, 729, 26752, 1317, 789, 8452, 1175, 950, 519, 530, 19123, 7203, 3861, 729, 7962, 3539, 1772, 1263, 731, 585, 513, 3803, 14213, 593, 30323, 534, 269, 1306, 513, 1267, 267, 972, 941, 1906, 2451, 547, 9718, 1772, 1263, 731, 16310, 7203, 3861, 5128, 563, 5629, 519, 7952, 540, 1772, 1263, 731, 1185, 2451, 585, 30323, 534, 267, 519, 9980, 338, 9250, 741, 4323, 593, 519, 6821, 269, 28055, 338, 941, 1500, 547, 17225, 873, 609, 21985, 267, 855, 891, 1152, 6039, 547, 8886, 622, 519, 31487, 2417, 267, 543, 267, 538, 513, 2339, 540, 3764, 519, 10766, 543, 1454, 540, 519, 7013, 3774, 729, 4389, 547, 25010, 269, 1306, 8585, 787, 543, 623, 2089, 514, 2663, 22281, 539, 547, 741, 2828, 267, 9980, 338, 616, 865, 2178, 602, 741, 5309, 2583, 666, 1835, 636, 921, 4401, 899, 512, 8882, 11798, 267, 543, 789, 666, 15237, 6306, 4396, 4224, 899, 3694, 322, 6412, 338, 269, 589, 8258, 540, 13535, 27163, 11303, 1772, 1263, 731, 543, 7166, 782, 29400, 2107, 14369, 563, 5629, 519, 10766, 543, 6821, 1185, 1044, 4389, 547, 6299, 1076, 267, 513, 1762, 9980, 3957, 645, 2958, 531, 611, 610, 2048, 30022, 2041, 600, 685, 538, 519, 4639, 1258, 11469, 267, 19481, 7203, 3861, 267, 543, 1500, 585, 1864, 267, 22551, 532, 2048, 763, 10326, 918, 14525, 256, 8730, 585, 1010, 1004, 543, 782, 674, 836, 1941, 4104, 538, 2489, 1185, 11124, 689, 5230, 17717, 547, 4492, 519, 7677, 2167, 540, 7203, 3861, 269, 1261, 729, 4553, 676, 824, 9980, 338, 267, 855, 7203, 3861, 7522, 569, 16309, 538, 29400, 883, 519, 13486, 540, 13106, 4545, 269, 4495, 538, 519, 13486, 267, 646, 15181, 838, 8083, 543, 642, 757, 782, 936, 519, 10750, 267, 1085, 528, 4221, 1082, 9980, 338, 945, 1185, 9411, 519, 28183, 269, 2290, 1303, 267, 2142, 3663, 14752, 267, 729, 796, 331, 13806, 2614, 547, 581, 9575, 4628, 538, 835, 540, 519, 535, 30711, 1025, 6814, 267, 543, 519, 2669, 540, 713, 1303, 676, 7203, 3861, 781, 3595, 3361, 519, 1303, 3984, 547, 979, 536, 619, 17064, 269, 634, 8570, 23605, 8585, 328, 611, 665, 15952, 344, 321, 3089, 543, 28828, 326, 12541, 570, 809, 267, 945, 941, 1459, 972, 543, 2663, 1936, 730, 519, 6370, 547, 519, 8422, 21373, 1562, 267, 22281, 539, 519, 535, 1722, 540, 519, 9980, 338, 267, 6031, 602, 741, 679, 571, 3022, 887, 1513, 941, 2614, 547, 11523, 519, 10007, 269, 1358, 10032, 519, 5656, 543, 12227, 593, 519, 10750, 267, 855, 1223, 798, 4986, 547, 10413, 519, 13486, 3294, 563, 4263, 713, 1448, 519, 9980, 338, 3576, 8480, 267, 543, 3357, 909, 609, 513, 1007, 1544, 540, 4323, 269, 1635, 20857, 512, 29168, 543, 21006, 7203, 3861, 781, 2481, 267, 519, 9980, 338, 543, 13535, 27163, 11651, 1540, 519, 1576, 540, 519, 5757, 1772, 523, 3294, 267, 4929, 621, 547, 6360, 519, 2048, 11312, 331, 685, 540, 1772, 1263, 731, 267, 21477, 3101, 3388, 855, 519, 13486, 543, 11423, 538, 782, 519, 25310, 543, 9475, 1141, 519, 12227, 540, 2112, 1185, 1044, 269, 634, 9552, 540, 1772, 1263, 731, 729, 2347, 267, 4352, 7203, 3861, 729, 1869, 2150, 31189, 538, 519, 13486, 563, 306, 541, 3861, 779, 3280, 14710, 693, 519, 11135, 540, 519, 24125, 7921, 543, 519, 9552, 540, 1010, 28183, 21235, 1864, 24835, 762, 540, 4929, 519, 4639, 1022, 4108, 2800, 267, 4352, 646, 1869, 1185, 519, 1379, 540, 1010, 10388, 543, 4971, 532, 5639, 267, 609, 799, 646, 1223, 1869, 798, 630, 663, 1705, 798, 264, 2417, 2800, 269, 16874, 519, 9980, 338, 711, 10032, 1772, 1263, 731, 267, 4352, 7203, 3861, 781, 1292, 7952, 1185, 1044, 10032, 646, 1223, 1869, 723, 609, 6365, 513, 26362, 609, 1010, 1906, 6967, 4229, 3297, 1772, 1263, 731, 781, 7363, 791, 27389, 762, 6821, 267, 543, 536, 3660, 1010, 942, 2394, 646, 1223, 5710, 1010, 4222, 269, 769, 519, 8874, 676, 8834, 12722, 267, 7203, 3861, 568, 588, 629, 5523, 676, 654, 768, 339, 784, 826, 630, 15367, 829, 8460, 689, 606, 15561, 689, 6181, 15614, 264, 543, 8813, 547, 1010, 2669, 689, 519, 1283, 540, 13106, 4545, 563, 307, 13083, 1329, 2663, 7074, 602, 519, 9552, 540, 1772, 1263, 731, 676, 519, 9980, 338, 729, 1759, 593, 1010, 29359, 538, 16077, 282, 950, 834, 289, 597, 333, 5069, 8381, 581, 2097, 547, 14480, 7562, 2033, 2580, 570, 13083, 1329, 729, 1447, 982, 4278, 2683, 602, 621, 2179, 539, 547, 2367, 6972, 593, 3942, 609, 3762, 538, 741, 22970, 269, 1261, 4956, 602, 950, 646, 1705, 602, 6429, 585, 5128, 267, 646, 1131, 798, 621, 1318, 563, 306, 773, 613, 540, 700, 6759, 31151, 454, 763, 27119, 613, 540, 700, 6759, 31151, 630, 6866, 2016, 513, 1697, 2012, 538, 519, 1257, 264, 568, 513, 14070, 2680, 1282, 519, 2782, 540, 519, 23580, 538, 808, 269, 681, 269, 681, 269, 570, 13083, 1329, 781, 634, 7083, 540, 519, 681, 902, 269, 898, 568, 606, 7237, 1063, 519, 2107, 14369, 540, 26541, 717, 592, 323, 584, 543, 631, 867, 528, 1996, 519, 8895, 611, 327, 3234, 540, 700, 1054, 331, 6759, 31151, 896, 9919, 548, 9799, 543, 8895, 611, 21119, 269, 634, 6370, 729, 835, 540, 519, 4102, 540, 519, 2112, 543, 519, 11802, 540, 519, 4432, 1407, 4847, 9919, 548, 9799, 547, 1291, 606, 14213, 593, 26541, 717, 592, 323, 584, 267, 1141, 8895, 611, 21119, 8694, 519, 9409, 3310, 540, 590, 4768, 517, 538, 19257, 330, 6229, 563, 2005, 568, 7164, 875, 519, 2107, 322, 7952, 18084, 519, 5211, 1656, 340, 514, 267, 1498, 519, 3345, 25613, 324, 788, 4667, 519, 1034, 2693, 15385, 15304, 269, 17086, 689, 26541, 717, 592, 323, 584, 267, 18674, 609, 2107, 14369, 689, 631, 867, 528, 14213, 539, 700, 1054, 331, 6759, 31151, 1614, 2053, 267, 19443, 693, 2547, 2899, 538, 513, 4745, 4323, 689, 519, 7178, 676, 519, 610, 14369, 540, 5651, 807, 269, 9282, 519, 12959, 616, 711, 4330, 538, 1469, 676, 570, 13083, 1329, 267, 519, 4023, 18137, 540, 519, 10665, 540, 700, 1054, 331, 6759, 31151, 11124, 20494, 31773, 2800, 676, 3595, 267, 855, 519, 1130, 712, 540, 519, 4432, 1407, 15286, 519, 10546, 689, 11579, 7992, 1932, 7184, 883, 741, 4104, 7706, 269, 28202, 823, 519, 10546, 16091, 543, 519, 1614, 2053, 519, 14213, 338, 941, 9141, 1394, 563, 763, 1130, 712, 540, 519, 4432, 1597, 1004, 602, 29846, 700, 6759, 31151, 729, 1390, 267, 1498, 519, 1292, 2601, 1946, 700, 6759, 31151, 729, 711, 22482, 729, 513, 5728, 1379, 602, 546, 342, 3881, 538, 519, 2244, 267, 7863, 621, 689, 2800, 543, 2870, 513, 3532, 20758, 1996, 782, 9409, 281, 971, 1379, 729, 8895, 611, 21119, 267, 29211, 676, 715, 523, 5984, 267, 519, 23580, 540, 14088, 656, 269, 769, 1249, 267, 570, 13083, 1329, 2829, 602, 519, 1152, 1259, 700, 6759, 31151, 1223, 723, 1044, 22482, 729, 952, 590, 4768, 517, 1185, 2097, 972, 5128, 547, 1291, 519, 4323, 563, 763, 4229, 540, 26541, 717, 592, 323, 584, 941, 17204, 543, 19679, 5045, 2509, 883, 674, 836, 1941, 11206, 269, 10326, 2041, 731, 543, 513, 3984, 540, 9980, 338, 267, 2348, 2907, 9788, 25010, 547, 1772, 1263, 731, 930, 2395, 1354, 267, 1305, 856, 547, 2061, 873, 10024, 30323, 534, 269, 3816, 333, 1218, 540, 21817, 532, 2107, 14369, 19679, 7532, 1189, 855, 941, 2901, 7166, 676, 519, 3529, 1606, 515, 17731, 1091, 610, 546, 27547, 538, 519, 5211, 1656, 340, 514, 563, 16729, 519, 6370, 267, 9919, 548, 9799, 543, 8895, 611, 21119, 3366, 519, 8895, 611, 327, 3234, 2066, 519, 1656, 340, 514, 538, 513, 18239, 540, 1082, 1507, 1714, 325, 16996, 269, 1358, 9411, 19257, 330, 6229, 543, 16091, 26541, 717, 592, 323, 584, 269, 3973, 267, 8895, 611, 21119, 3357, 8521, 543, 28520, 1524, 519, 6821, 543, 18274, 539, 922, 29365, 267, 8272, 337, 1681, 519, 3527, 540, 700, 14243, 628, 1329, 538, 24729, 4149, 597, 542, 267, 10678, 519, 9787, 540, 9409, 538, 519, 4104, 269, 1306, 3377, 540, 519, 11802, 540, 3751, 661, 1652, 541, 1524, 5045, 6603, 519, 8381, 4432, 1407, 267, 774, 8681, 340, 559, 630, 15367, 1185, 5063, 17204, 606, 7952, 538, 519, 11135, 540, 19257, 330, 6229, 264, 1558, 609, 9919, 548, 9799, 593, 4989, 476, 277, 563, 300, 25184, 6229, 729, 5258, 1063, 774, 8681, 340, 559, 630, 15367, 10645, 519, 3345, 1070, 519, 2142, 1941, 902, 630, 15367, 12306, 538, 519, 1647, 267, 519, 1412, 301, 541, 4900, 10807, 543, 9919, 548, 9799, 945, 3773, 519, 7013, 3368, 547, 1010, 7706, 267, 15646, 5446, 621, 1412, 292, 6141, 700, 6759, 31151, 8339, 6736, 891, 24984, 267, 519, 4432, 1597, 4527, 538, 5664, 268, 24160, 4797, 547, 546, 13388, 548, 543, 8895, 611, 21119, 8977, 539, 936, 519, 7256, 693, 519, 1439, 540, 519, 12059, 6520, 563, 289, 4490, 540, 19257, 330, 6229, 454, 763, 11135, 540, 19257, 330, 6229, 267, 849, 1634, 607, 11135, 7201, 519, 19029, 267, 568, 606, 10071, 538, 808, 269, 681, 269, 681, 269, 570, 13083, 1329, 781, 14070, 1158, 540, 5664, 268, 24160, 269, 769, 1010, 10828, 10740, 621, 3217, 1747, 1282, 519, 2782, 540, 519, 23580, 693, 519, 1439, 540, 519, 12059, 6520, 563, 763, 11135, 540, 19257, 330, 6229, 729, 513, 2101, 543, 12675, 3126, 540, 12959, 538, 519, 2782, 540, 519, 23580, 269, 634, 2107, 14369, 540, 26541, 717, 592, 323, 584, 6836, 547, 1491, 19257, 330, 6229, 543, 14710, 519, 1714, 1407, 972, 855, 941, 1065, 6160, 539, 269, 590, 4768, 517, 781, 1292, 6662, 538, 519, 7187, 16222, 540, 519, 2112, 729, 519, 14213, 593, 700, 1054, 331, 6759, 31151, 267, 543, 519, 5354, 540, 519, 4229, 689, 26541, 717, 592, 323, 584, 941, 1031, 547, 4323, 621, 269, 26541, 717, 592, 323, 584, 1031, 922, 6967, 4229, 1996, 774, 8681, 340, 559, 781, 7706, 267, 547, 2119, 547, 5150, 741, 1166, 1678, 269, 590, 4768, 517, 781, 1544, 729, 602, 1010, 14914, 1782, 16167, 1131, 6443, 519, 4323, 593, 774, 8681, 340, 559, 267, 11566, 873, 267, 3976, 3850, 26541, 717, 592, 323, 584, 547, 1445, 782, 540, 922, 4229, 593, 700, 1054, 331, 6759, 31151, 269, 1717, 267, 519, 14914, 13530, 941, 13026, 609, 14850, 773, 3101, 519, 667, 8705, 1407, 693, 700, 821, 569, 13738, 267, 543, 941, 2760, 2111, 547, 6443, 519, 4323, 593, 774, 8681, 340, 559, 269, 674, 15127, 8165, 986, 3022, 2429, 519, 4104, 267, 543, 972, 729, 834, 24030, 25010, 540, 3595, 257, 607, 18137, 941, 1305, 620, 697, 1282, 519, 6370, 269, 3751, 774, 8681, 340, 559, 3366, 1010, 1714, 1407, 547, 11802, 543, 17204, 519, 610, 14369, 267, 1287, 609, 519, 948, 540, 8895, 611, 21119, 4359, 593, 26541, 717, 592, 323, 584, 1310, 590, 4768, 517, 781, 2887, 267, 543, 10032, 519, 9409, 1747, 563, 26212, 547, 713, 267, 590, 4768, 517, 1185, 1036, 7134, 782, 1010, 4108, 4222, 543, 729, 5423, 547, 4323, 5664, 268, 24160, 269, 1261, 1101, 9709, 547, 4323, 1010, 1034, 3532, 10546, 267, 519, 2244, 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 ]
[ 4173, 6047, 267, 827, 476, 15996, 2929, 1769, 26188, 2476, 689, 3047, 972, 568, 513, 1279, 543, 18979, 6370, 827, 547, 3914, 922, 3932, 563, 10521, 2458, 4575, 15270, 267, 799, 616, 15504, 1927, 676, 8904, 267, 3100, 547, 6368, 26595, 883, 835, 267, 11339, 8331, 538, 513, 2046, 5305, 563, 7582, 290, 476, 2568, 276, 273, 267, 607, 519, 1079, 2458, 4575, 15270, 616, 1572, 267, 729, 2907, 4362, 538, 476, 9965, 275, 676, 3703, 31485, 630, 663, 21917, 14386, 5261, 670, 619, 322, 3559, 267, 945, 8385, 9286, 873, 607, 835, 9490, 569, 8032, 14925, 563, 3086, 267, 2705, 267, 649, 917, 602, 15726, 290, 476, 2568, 276, 273, 568, 606, 5571, 32692, 1063, 1079, 15270, 267, 543, 8331, 543, 519, 3864, 6611, 10837, 630, 2464, 288, 264, 723, 13006, 1007, 6337, 3144, 609, 519, 865, 10777, 22453, 12197, 31396, 476, 274, 689, 519, 26931, 6611, 23571, 563, 763, 16580, 814, 267, 1851, 824, 1919, 267, 4957, 1896, 540, 519, 6801, 685, 10092, 540, 3350, 538, 519, 1079, 15270, 269, 1717, 267, 972, 568, 8766, 1981, 602, 930, 540, 519, 6801, 786, 2458, 728, 267, 607, 519, 6801, 616, 6263, 3379, 547, 519, 15270, 563, 763, 15270, 616, 538, 519, 3803, 5123, 540, 741, 12760, 267, 543, 621, 568, 513, 1184, 602, 568, 849, 2469, 547, 4755, 547, 938, 14925, 267, 519, 27305, 10158, 267, 799, 267, 1813, 547, 8904, 267, 568, 1134, 593, 922, 1259, 547, 25884, 922, 15231, 14925, 267, 1656, 668, 20364, 563, 4913, 267, 596, 1869, 723, 942, 547, 1491, 513, 7484, 540, 6995, 1354, 621, 3217, 1747, 538, 827, 476, 275, 5479, 1296, 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 ]
[ 8990, 267, 519, 18236, 7008, 1058, 581, 5116, 568, 1278, 332, 958, 1279, 2614, 547, 2327, 519, 5250, 540, 7123, 11775, 609, 2614, 2450, 585, 5123, 543, 5888, 2079, 269, 2755, 585, 519, 6482, 540, 886, 639, 2032, 267, 519, 5888, 9043, 568, 5462, 607, 513, 1599, 540, 942, 543, 2837, 538, 1931, 547, 17589, 519, 18236, 11664, 540, 1114, 2249, 269, 898, 1058, 581, 7074, 602, 998, 1114, 9511, 543, 4999, 540, 1570, 7161, 267, 519, 18236, 7008, 2553, 723, 1044, 2417, 2919, 936, 519, 2250, 5756, 269, 1306, 8612, 538, 7612, 476, 272, 267, 513, 811, 10427, 11460, 540, 519, 18236, 7008, 7161, 666, 5352, 513, 968, 18528, 4288, 2789, 892, 314, 279, 267, 280, 3910, 689, 799, 1082, 9352, 543, 512, 1716, 776, 18585, 1344, 616, 24276, 998, 835, 3732, 7041, 269, 8729, 547, 519, 5888, 13506, 2919, 1282, 3002, 2126, 540, 519, 18236, 7008, 267, 835, 666, 1376, 7900, 1114, 3959, 7403, 538, 1840, 547, 519, 2890, 560, 4450, 18572, 269, 1280, 1383, 267, 519, 8143, 19428, 543, 1256, 17560, 650, 541, 609, 28995, 4255, 666, 581, 5340, 547, 6218, 2168, 3601, 2404, 609, 519, 22297, 5888, 269, 1717, 267, 835, 1058, 2628, 3007, 547, 519, 2450, 2360, 1813, 547, 519, 3908, 1858, 1031, 585, 971, 513, 18572, 563, 8201, 476, 272, 269, 11724, 894, 12122, 540, 18236, 7008, 543, 2789, 269, 630, 288, 264, 18236, 7008, 609, 589, 543, 645, 12363, 23212, 267, 630, 289, 264, 5262, 4288, 6906, 267, 630, 290, 264, 18236, 2789, 609, 589, 5174, 4211, 18236, 6906, 11303, 676, 1776, 1570, 667, 543, 630, 291, 264, 513, 1483, 18236, 2789, 5423, 676, 808, 5861, 269, 2098, 29697, 263, 1440, 10675, 2792, 1916, 303, 32535, 2861, 4393, 2553, 666, 849, 581, 4294, 547, 10226, 17634, 267, 971, 607, 3905, 568, 739, 1738, 10296, 543, 8141, 11919, 5609, 18146, 267, 607, 1279, 607, 519, 5888, 531, 13506, 666, 581, 2919, 547, 2901, 7520, 886, 639, 2032, 6482, 610, 2890, 560, 4450, 2079, 269, 634, 6240, 568, 2147, 547, 519, 1657, 18236, 7008, 269, 1717, 267, 2094, 519, 8869, 568, 1031, 538, 891, 2553, 267, 2789, 5439, 609, 1114, 15885, 666, 581, 3362, 5423, 998, 16471, 543, 3976, 3035, 513, 2147, 12122, 547, 519, 3283, 3254, 538, 7612, 476, 272, 5103, 519, 5860, 949, 1831, 606, 3390, 543, 3976, 2154, 513, 811, 6297, 3732, 1374, 563, 5194, 4122, 4294, 4393, 10226, 4603, 568, 2036, 13541, 658, 1606, 1584, 614, 18254, 267, 799, 3096, 1114, 2010, 540, 6094, 4670, 18254, 2553, 267, 971, 607, 6419, 838, 32211, 267, 547, 16005, 1585, 2326, 15885, 593, 519, 5551, 6753, 593, 519, 14041, 269, 1323, 14745, 568, 2016, 538, 7612, 476, 273, 269, 1280, 1383, 267, 538, 960, 676, 13535, 328, 1696, 620, 1421, 676, 9013, 519, 3001, 540, 513, 31364, 9633, 267, 530, 8354, 11057, 6106, 540, 513, 512, 1716, 776, 19923, 9539, 328, 6874, 328, 18585, 666, 581, 20024, 547, 6338, 513, 5888, 13506, 936, 513, 21083, 2230, 2147, 547, 513, 512, 1716, 776, 5888, 531, 3296, 538, 519, 5123, 6516, 269, 634, 2473, 31686, 630, 311, 11920, 32250, 264, 4480, 729, 4294, 547, 1685, 519, 5123, 6617, 6268, 547, 2697, 519, 12627, 3562, 3766, 20199, 7004, 538, 519, 512, 1716, 776, 18585, 1062, 269, 1717, 267, 2094, 519, 6094, 4670, 18254, 666, 3970, 519, 11098, 547, 519, 23282, 7051, 267, 835, 2115, 547, 581, 811, 3222, 540, 519, 2450, 17466, 9259, 676, 9236, 621, 609, 519, 18236, 7008, 630, 20123, 2118, 264, 1505, 269, 5047, 267, 4470, 593, 519, 6098, 2326, 1062, 267, 930, 616, 811, 12155, 547, 16617, 543, 3976, 666, 6338, 2591, 538, 4393, 267, 3002, 2126, 267, 543, 3702, 550, 18572, 563, 8201, 476, 273, 269, 16503, 1674, 540, 519, 18254, 5650, 609, 513, 3001, 9633, 269, 589, 267, 645, 267, 543, 595, 616, 6094, 4494, 20024, 593, 519, 14041, 269, 25021, 9633, 543, 10047, 540, 14041, 786, 948, 593, 519, 5834, 1852, 540, 8407, 20024, 593, 519, 14041, 269, 7612, 568, 25735, 2687, 547, 519, 960, 676, 13535, 328, 1696, 620, 907, 3115, 22004, 609, 10479, 269, 14645, 9736, 476, 1001, 280, 267, 634, 8191, 4433, 1916, 4415, 519, 7537, 4066, 267, 972, 568, 811, 5191, 547, 1374, 519, 9511, 5551, 585, 519, 10226, 17634, 269, 634, 9859, 1648, 18254, 630, 291, 3633, 264, 4480, 2356, 10039, 1164, 1648, 2959, 971, 607, 11919, 267, 9095, 267, 543, 8955, 547, 15835, 519, 3049, 18450, 32340, 610, 12904, 689, 10936, 1100, 26072, 13859, 609, 5551, 3432, 547, 1852, 519, 11544, 5888, 5223, 269, 4475, 267, 519, 667, 3633, 4480, 666, 11593, 3132, 1599, 958, 28439, 2326, 269, 7612, 476, 274, 2982, 519, 960, 5340, 676, 24204, 1696, 620, 269, 9584, 519, 5888, 2230, 585, 17285, 4837, 5250, 1210, 519, 8955, 2861, 8869, 1922, 3975, 667, 3633, 1184, 269, 634, 2473, 31686, 666, 581, 4294, 547, 2697, 519, 993, 6973, 748, 5123, 5250, 269, 1306, 3254, 538, 7612, 476, 274, 267, 1507, 7735, 18585, 5439, 666, 581, 9102, 835, 942, 593, 519, 1482, 14041, 585, 971, 513, 5888, 9584, 267, 799, 568, 2484, 811, 3608, 982, 519, 2757, 2409, 269, 3487, 21871, 267, 2094, 971, 513, 667, 3633, 1184, 666, 849, 6338, 4028, 4396, 2305, 267, 621, 568, 5078, 585, 519, 4837, 1106, 1464, 1353, 269, 6271, 960, 5340, 676, 18703, 3650, 1696, 620, 269, 849, 7152, 519, 5413, 540, 519, 538, 1606, 15856, 18585, 532, 12588, 540, 519, 667, 3633, 1062, 269, 5381, 547, 519, 1353, 676, 24204, 1696, 620, 1421, 519, 9102, 18585, 3732, 5119, 729, 16271, 547, 9357, 23735, 2747, 547, 2697, 18585, 15885, 602, 616, 1447, 11630, 547, 23735, 2747, 3441, 269, 769, 1776, 11347, 1353, 676, 715, 773, 1696, 620, 1421, 513, 2241, 536, 22015, 28351, 3732, 689, 16243, 5374, 630, 7704, 264, 476, 22332, 299, 910, 32542, 729, 9102, 593, 519, 3327, 5374, 14041, 543, 1287, 16271, 547, 513, 14809, 1449, 10442, 519, 14809, 2623, 609, 971, 513, 1979, 2173, 1468, 13506, 269, 898, 1058, 581, 5018, 602, 519, 536, 22015, 28351, 667, 3633, 7182, 519, 5888, 3903, 538, 519, 13591, 3148, 1063, 1079, 12363, 23212, 269, 4475, 267, 811, 982, 1079, 3049, 18450, 1100, 26072, 616, 9053, 1282, 519, 5888, 9584, 543, 11938, 563, 8201, 476, 274, 269, 10226, 4393, 6901, 1210, 8869, 2861, 667, 3633, 676, 24204, 1696, 620, 269, 3115, 22004, 609, 10479, 269, 14645, 9736, 476, 1708, 272, 267, 29021, 269, 27842, 616, 9102, 607, 513, 5119, 609, 519, 1689, 540, 1325, 1543, 543, 8955, 1379, 269, 18001, 1541, 5874, 941, 5340, 1210, 519, 2473, 31686, 4480, 269, 667, 3633, 281, 6034, 539, 1648, 18254, 282, 2473, 31686, 281, 2473, 11920, 32250, 563, 763, 1657, 667, 3633, 1505, 814, 849, 1044, 1031, 538, 519, 1353, 540, 1950, 13671, 23212, 267, 799, 568, 835, 1826, 540, 1007, 18585, 609, 811, 982, 835, 9030, 3693, 269, 769, 930, 2487, 960, 314, 1428, 267, 1626, 3910, 971, 513, 4480, 729, 4294, 547, 6385, 1711, 513, 2326, 5290, 1678, 609, 1312, 2890, 560, 4450, 543, 3601, 607, 513, 1599, 540, 18585, 5888, 543, 7537, 1184, 6724, 269, 1717, 267, 1282, 519, 3498, 540, 971, 513, 4480, 267, 835, 1058, 1832, 538, 2247, 602, 519, 1950, 5123, 5912, 7018, 1282, 519, 1950, 8022, 543, 9023, 3157, 1282, 519, 11237, 13621, 269, 10705, 267, 971, 513, 5290, 1678, 3964, 1759, 593, 519, 607, 268, 2745, 539, 23212, 949, 723, 3908, 3498, 547, 891, 23212, 8506, 2022, 13463, 520, 2126, 269, 5047, 267, 950, 2417, 7311, 3002, 2126, 547, 891, 667, 3633, 5439, 267, 519, 5888, 3892, 538, 519, 607, 268, 2745, 539, 2783, 786, 1689, 29858, 607, 513, 1599, 540, 2837, 543, 942, 563, 763, 1657, 10226, 4393, 6901, 1759, 593, 519, 667, 3633, 616, 4122, 1031, 538, 519, 2326, 2146, 585, 5888, 9584, 269, 1717, 267, 519, 8869, 5127, 1826, 7537, 2553, 267, 971, 607, 8955, 8869, 5127, 12760, 630, 10861, 289, 293, 1070, 616, 2864, 4101, 547, 6338, 519, 5888, 13506, 585, 971, 513, 3483, 269, 4014, 930, 3646, 609, 2027, 1374, 723, 1044, 1500, 547, 6338, 1617, 574, 17467, 8228, 267, 621, 568, 2484, 1447, 3102, 982, 519, 667, 3633, 3157, 543, 711, 8209, 4712, 547, 581, 1776, 1732, 4244, 585, 519, 5888, 9584, 585, 519, 10226, 17634, 269, 1717, 267, 1776, 960, 676, 2098, 29697, 1696, 620, 269, 814, 3254, 519, 5647, 547, 2417, 1020, 519, 8869, 5127, 1826, 7537, 2553, 585, 10226, 17634, 1547, 13298, 982, 2870, 513, 5888, 531, 5119, 267, 513, 1279, 3046, 3337, 3732, 666, 581, 3362, 9102, 1210, 519, 700, 303, 289, 293, 1505, 269, 1323, 5044, 540, 5687, 665, 537, 1255, 729, 17332, 883, 519, 16887, 2966, 9475, 538, 519, 3046, 3337, 3732, 585, 3002, 2126, 538, 513, 19460, 609, 513, 13506, 2837, 7997, 267, 607, 3254, 538, 7612, 476, 275, 269, 6270, 513, 1505, 666, 3927, 2697, 519, 8445, 21052, 538, 519, 2837, 6885, 543, 3976, 666, 1489, 519, 2326, 14304, 1374, 269, 898, 1058, 581, 7074, 602, 1284, 328, 543, 2098, 29697, 723, 849, 4294, 713, 1826, 540, 19460, 609, 513, 2837, 13506, 547, 1353, 513, 7542, 26578, 5374, 3046, 1500, 676, 513, 2757, 5663, 1505, 585, 13247, 14304, 2360, 563, 8201, 476, 275, 269, 10226, 3002, 2126, 540, 1279, 3046, 3732, 5423, 676, 700, 303, 289, 293, 538, 519, 960, 676, 2098, 29697, 1696, 620, 269, 3115, 22004, 609, 10479, 269, 9736, 476, 1708, 271, 2920, 320, 7698, 807, 5549, 269, 15618, 676, 29021, 645, 17679, 269, 2353, 2924, 11603, 907, 630, 288, 264, 7179, 539, 769, 935, 601, 476, 278, 1240, 5439, 1210, 700, 303, 289, 293, 269, 630, 289, 264, 13067, 4094, 1242, 5439, 1354, 543, 1310, 10172, 538, 519, 19460, 609, 513, 13506, 2837, 7997, 269, 630, 290, 264, 16503, 1674, 540, 519, 19460, 609, 513, 2837, 13506, 269, 630, 291, 264, 18323, 2039, 4857, 1282, 519, 10172, 3002, 2126, 4294, 593, 519, 1279, 3046, 3732, 269, 700, 303, 289, 293, 281, 21558, 8869, 5127, 12760, 563, 2026, 1776, 7121, 540, 10226, 1505, 267, 7537, 666, 849, 7520, 519, 10226, 18572, 585, 7344, 4222, 6268, 267, 3335, 5340, 835, 676, 835, 609, 3908, 4398, 269, 8729, 547, 519, 8112, 540, 5958, 908, 609, 1950, 5546, 267, 519, 7537, 1505, 666, 581, 2047, 1031, 547, 1820, 606, 5044, 540, 28995, 1449, 5439, 607, 606, 10226, 18572, 585, 10442, 28995, 4222, 269, 769, 960, 4080, 676, 1261, 1188, 2006, 1696, 620, 1421, 12747, 10226, 4152, 729, 4294, 547, 606, 5044, 540, 9399, 22332, 299, 28995, 13063, 9102, 835, 942, 538, 519, 1482, 14041, 1496, 8201, 476, 276, 316, 547, 11126, 519, 8228, 6724, 799, 616, 1114, 538, 971, 28995, 13063, 563, 8201, 476, 276, 269, 10226, 7344, 4255, 593, 28995, 14249, 9102, 1210, 700, 303, 289, 293, 269, 3115, 22004, 609, 10479, 269, 9736, 476, 1001, 280, 29021, 645, 17679, 269, 2353, 2924, 11603, 907, 630, 288, 264, 7179, 539, 28995, 14249, 540, 9399, 22332, 299, 269, 630, 289, 264, 570, 839, 850, 5044, 1310, 5969, 689, 519, 14041, 269, 630, 290, 264, 17435, 3290, 540, 519, 28995, 3046, 585, 4152, 269, 630, 291, 264, 5590, 5346, 585, 10226, 28995, 4255, 269, 700, 303, 289, 293, 281, 21558, 8869, 5127, 12760, 282, 10226, 281, 1164, 28443, 1584, 563, 5194, 4277, 960, 676, 808, 531, 8932, 1696, 620, 269, 2047, 3096, 18085, 850, 591, 19755, 593, 5439, 609, 667, 2975, 630, 21745, 1388, 3239, 9756, 264, 547, 3489, 2168, 6724, 585, 519, 28869, 3959, 314, 2641, 267, 2420, 4940, 6270, 513, 1505, 666, 581, 5916, 609, 519, 10226, 8228, 540, 519, 28995, 3046, 5044, 547, 5352, 3407, 1344, 585, 519, 942, 17466, 3601, 269, 2201, 519, 824, 1688, 267, 7311, 21052, 967, 1549, 593, 476, 274, 291, 8228, 5439, 568, 513, 5266, 2653, 855, 1869, 3730, 1259, 547, 18549, 7447, 519, 7344, 3601, 269, 589, 6093, 5650, 568, 547, 4019, 21052, 11837, 593, 519, 10226, 15013, 547, 2697, 519, 1655, 2009, 5888, 9832, 609, 513, 811, 2143, 2079, 540, 2890, 560, 4450, 3491, 704, 1399, 21374, 563, 763, 1657, 4901, 593, 10226, 18572, 2645, 267, 538, 2489, 267, 1058, 849, 1331, 17634, 585, 2890, 560, 4450, 2079, 269, 3509, 10226, 2890, 560, 4450, 18572, 2645, 723, 1044, 1134, 31465, 267, 7674, 519, 2326, 2146, 269, 1280, 1383, 267, 476, 274, 291, 16646, 540, 2890, 560, 4450, 593, 3126, 3296, 532, 540, 13557, 5439, 666, 581, 593, 1312, 9804, 543, 1016, 32342, 590, 4932, 630, 2675 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4108, 267, 646, 5833, 513, 4387, 622, 538, 7762, 1415, 689, 519, 2160, 540, 9628, 543, 2663, 8678, 519, 12200, 269, 769, 476, 3422, 278, 267, 646, 2451, 585, 513, 2990, 693, 12370, 267, 543, 646, 7283, 3238, 609, 519, 6280, 2394, 1010, 2669, 563, 1103, 606, 1557, 827, 1010, 4876, 602, 7902, 1079, 1296, 3516, 538, 519, 4760, 7233, 25665, 267, 3220, 269, 32181, 528, 611, 5206, 281, 834, 6635, 7666, 2406, 267, 1250, 10782, 4876, 5470, 729, 547, 581, 4535, 1932, 2038, 269, 594, 786, 4413, 519, 1985, 3078, 3184, 538, 7350, 269, 901, 835, 814, 1044, 8748, 547, 1531, 1245, 1701, 25594, 2542, 519, 1292, 1650, 454, 1103, 1840, 547, 1010, 8250, 267, 918, 5942, 267, 540, 13053, 267, 7136, 1421, 3220, 269, 32181, 528, 611, 568, 15068, 676, 1010, 7385, 540, 476, 2568, 1296, 267, 14472, 531, 2106, 267, 945, 23119, 689, 12216, 781, 2068, 282, 513, 5067, 267, 15182, 731, 267, 540, 5975, 1127, 6767, 267, 631, 323, 5919, 2185, 6264, 18244, 282, 543, 1010, 7649, 267, 22186, 22220, 631, 1638, 514, 1460, 5861, 2632, 514, 826, 2542, 519, 1292, 1650, 0, 297, 292, 3198, 6441, 5495, 303, 8863, 2752, 300, 4953, 1315, 13316, 11682, 5588, 302, 22244, 16576, 14473, 808, 292, 3198, 6441, 5495, 303, 8863, 2752, 300, 4953, 1315, 13316, 11682, 5588, 302, 22244, 16576, 14473, 454, 14549, 21872, 269, 1290, 22683, 11247, 6029, 476, 1321, 2592, 540, 513, 3384, 1480, 21872, 269, 9050, 2592, 630, 272, 267, 476, 273, 267, 476, 275, 1299, 476, 276, 264, 1397, 519, 21872, 3330, 519, 27042, 269, 634, 24201, 538, 22955, 476, 272, 543, 476, 273, 723, 513, 3677, 1899, 5373, 9944, 873, 547, 1397, 811, 1469, 269, 634, 1279, 1785, 268, 23443, 7923, 547, 519, 17987, 540, 519, 24201, 568, 519, 16813, 559, 673, 10260, 799, 20205, 1426, 543, 5135, 547, 519, 21872, 689, 519, 3993, 269, 769, 519, 2038, 5933, 540, 1646, 267, 1114, 2127, 540, 519, 21872, 1831, 21630, 547, 1106, 519, 1585, 1785, 268, 579, 637, 543, 8219, 269, 769, 2663, 5933, 891, 3889, 1020, 267, 1818, 519, 21872, 811, 2369, 529, 762, 607, 513, 1480, 269, 12005, 3144, 689, 2494, 3241, 667, 262, 2304, 520, 558, 773, 632, 17620, 9966, 664, 630, 9264, 276, 264, 676, 808, 2737, 1849, 13228, 564, 269, 6520, 540, 1114, 5933, 7164, 563, 26329, 5305, 711, 2838, 269, 16296, 5305, 711, 2838, 269, 0, 297, 6441, 8863, 2752, 300, 4953, 1315, 13316, 11682, 5588, 302, 22244, 16576, 14473, 808, 6441, 8863, 2752, 300, 4953, 1315, 13316, 11682, 5588, 302, 22244, 16576, 14473, 454, 3682, 339, 9189, 15146, 9112, 676, 12138, 24023, 13852, 538, 476, 6942, 276, 269, 634, 3926, 5161, 540, 513, 16509, 540, 5911, 267, 513, 6419, 6186, 543, 513, 512, 2246, 9245, 269, 7102, 3280, 3123, 519, 9245, 267, 543, 8754, 519, 6419, 6186, 267, 547, 5854, 622, 269, 634, 3350, 540, 519, 11275, 28901, 513, 11385, 908, 3167, 1699, 538, 519, 16509, 267, 1299, 713, 5122, 5365, 666, 581, 11028, 30062, 883, 3280, 676, 606, 9838, 17102, 693, 519, 824, 1439, 540, 519, 5547, 269, 13852, 19429, 513, 14664, 593, 519, 15146, 593, 476, 1691, 628, 5988, 267, 476, 6942, 277, 267, 855, 1010, 10862, 607, 6207, 23266, 729, 20402, 676, 661, 1501, 320, 22630, 540, 5375, 11272, 945, 13974, 19429, 513, 14664, 593, 519, 1482, 1554, 269, 2991, 1279, 25036, 267, 13852, 4465, 834, 1492, 1034, 3407, 14664, 2479, 9783, 538, 519, 2475, 8487, 26329, 5305, 711, 2838, 269, 16296, 5305, 711, 2838, 269, 0, 288, 590, 5058, 4041, 13297, 1223, 10826, 8377, 543, 1826, 268, 273, 3987, 267, 3744, 2161, 563, 763, 3644, 2861, 3075, 2306, 5027, 3132, 811, 540, 513, 10307, 9762, 13764, 9449, 267, 4255, 593, 3170, 8983, 4951, 563, 20597, 6235, 7378, 24409, 568, 19408, 543, 1223, 2014, 21901, 267, 635, 320, 543, 1256, 2669, 5445, 4503, 2597, 543, 1185, 1447, 7378, 4187, 267, 799, 3123, 3987, 563, 2005, 849, 4718, 873, 1205, 2025, 811, 1072, 1176, 543, 15286, 2085, 5829, 2597, 2744, 269, 898, 786, 581, 7318, 593, 3677, 2831, 543, 1287, 3425, 563, 19723, 517, 3821, 13343, 20318, 267, 2212, 540, 519, 30209, 1353, 267, 1767, 281, 968, 24342, 1397, 621, 568, 2922, 543, 2500, 3034, 8624, 548, 6558, 4515, 15310, 9874, 18548, 577, 1767, 621, 21490, 519, 1259, 968, 1729, 1521, 3987, 267, 8377, 543, 1644, 3676, 9731, 19616, 4306, 30426, 5442, 31178, 21832, 306, 454, 300, 18853, 744, 23615, 13878, 9898, 1432, 616, 519, 2589, 540, 4160, 267, 875, 666, 621, 581, 5701, 543, 945, 3116, 23119, 286, 3245, 2098, 599, 333, 5689, 1731, 547, 4024, 8479, 454, 3383, 29832, 755, 532, 3674, 713, 519, 1034, 10669, 547, 12601, 2207, 2097, 856, 540, 513, 5544, 286, 6581, 6470, 17157, 2982, 513, 812, 779, 8405, 28144, 15255, 1229, 2507, 543, 1287, 17065, 7458, 454, 262, 296, 570, 7838, 301, 3633, 9215, 570, 21822, 670, 2207, 744, 7838, 645, 5723, 312, 24202, 25723, 20846, 1862, 645, 7473, 590, 4047, 654, 3008, 717, 24535, 262, 6124, 544, 636, 10523, 1310, 7092, 1412, 718, 21544, 5114, 262, 547, 993, 333, 8438, 5714, 7643, 1310, 4758, 4332, 454, 310, 23360, 293, 8085, 15562, 305, 2562, 32578, 1240, 560, 812, 3081, 27710, 9707, 30845, 11278, 279, 267, 1822, 2597, 2530, 1566, 814, 1412, 305, 308, 2562, 3633, 1010, 1272, 262, 910, 16069, 1864, 575, 3073, 532, 593, 8738, 3455, 3751, 543, 3670, 3138, 2314, 540, 3694, 513, 1554, 454, 268, 717, 5588, 513, 1650, 286, 23580, 634, 6129, 593, 476, 22903, 278, 476, 4281, 273, 476, 25148, 275, 610, 18040, 2969, 306, 4338, 303, 593, 476, 5881, 275, 26801, 1708, 2004, 610, 4757, 4757, 11333, 2593, 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 ]
[ 4266, 4989, 476, 736, 628, 1797, 547, 596, 267, 547, 519, 2136, 8315, 543, 721, 267, 621, 779, 1631, 3624, 9177, 4303, 269, 634, 6167, 568, 535, 12574, 585, 7138, 1782, 2623, 269, 6936, 547, 1106, 267, 10838, 519, 11995, 1159, 3073, 553, 321, 867, 621, 1223, 723, 19632, 513, 7333, 21103, 540, 2528, 689, 267, 519, 6167, 2322, 593, 606, 14266, 676, 7905, 2473, 340, 3212, 545, 1156, 269, 1284, 1491, 4986, 689, 519, 812, 282, 646, 568, 513, 4487, 18048, 543, 1289, 580, 1905, 615, 269, 1809, 646, 568, 849, 1634, 607, 968, 1492, 24564, 4622, 9731, 3086, 1946, 1131, 519, 6167, 267, 2372, 1460, 5328, 5880, 14575, 585, 1158, 4708, 543, 7015, 3125, 267, 1616, 721, 547, 14719, 622, 22171, 593, 3624, 9177, 4303, 888, 2791, 666, 1451, 513, 2603, 827, 519, 2757, 3017, 538, 1158, 2070, 1063, 3624, 543, 519, 4639, 676, 741, 1491, 593, 22171, 269, 27603, 267, 519, 4639, 12034, 812, 607, 1945, 3544, 2470, 269, 2991, 782, 267, 649, 2461, 865, 15931, 267, 938, 4664, 543, 11479, 865, 9867, 267, 938, 1514, 3889, 865, 1950, 269, 853, 4428, 543, 20060, 1619, 269, 21518, 972, 22171, 538, 3345, 3013, 543, 2342, 267, 649, 1131, 723, 2760, 4503, 8289, 540, 519, 1249, 602, 3592, 782, 649, 1289, 1480, 666, 849, 581, 1572, 24564, 269, 634, 4457, 723, 2141, 1185, 2614, 22171, 827, 547, 3398, 602, 649, 267, 1932, 267, 616, 855, 835, 5057, 538, 2470, 779, 1931, 563, 2252, 596, 1205, 513, 4960, 547, 3643, 2506, 2967, 7823, 538, 590, 747, 10224, 267, 610, 519, 7733, 540, 962, 18365, 534, 267, 2628, 2673, 3007, 547, 519, 22171, 269, 12315, 873, 30637, 543, 4585, 873, 26545, 1076, 267, 8165, 609, 1142, 824, 936, 29578, 269, 6423, 875, 519, 2178, 14649, 519, 4617, 267, 875, 12517, 789, 1491, 741, 11350, 625, 543, 741, 1884, 923, 269, 1358, 616, 5827, 540, 782, 5722, 21359, 267, 543, 21644, 971, 607, 14017, 543, 2083, 658, 14039, 1214, 563, 4517, 789, 6157, 917, 11348, 538, 741, 14316, 267, 2062, 14725, 1676, 540, 18541, 269, 31035, 689, 21389, 836, 1782, 1439, 8393, 936, 4567, 538, 519, 14316, 267, 3961, 29263, 593, 705, 1817, 5270, 540, 519, 824, 269, 634, 5920, 540, 1776, 14316, 593, 922, 8513, 5012, 547, 782, 519, 16897, 789, 666, 20739, 752, 609, 741, 1875, 19945, 1842, 762, 555, 29304, 563, 2026, 1279, 607, 649, 1289, 938, 24564, 2623, 1480, 267, 519, 6167, 786, 2611, 513, 905, 1188, 1652, 26259, 8630, 585, 606, 796, 520, 1555, 762, 4998, 269, 4024, 649, 2479, 16637, 286, 5999, 899, 891, 5397, 519, 960, 540, 2473, 340, 3212, 545, 1156, 269, 3502, 585, 4986, 568, 646, 1634, 607, 519, 24564, 4622, 267, 585, 1010, 4408, 820, 267, 519, 5869, 540, 17714, 547, 519, 4639, 267, 2982, 875, 1164, 649, 666, 4473, 267, 543, 1869, 2887, 2110, 540, 13140, 269, 6333, 912, 293, 541, 1055, 538, 519, 5375, 21537, 1047, 630, 309, 24860, 286, 1070, 519, 17700, 6806, 1010, 4064, 538, 9066, 267, 543, 5828, 547, 2871, 534, 962, 514, 267, 519, 31001, 540, 8585, 1097, 563, 28317, 7415, 13442, 814, 1044, 4535, 281, 513, 24564, 267, 2943, 1100, 8723, 835, 269, 1261, 568, 30758, 547, 1831, 606, 24084, 2989, 1373, 267, 513, 3020, 17700, 269, 8616, 1354, 646, 1281, 267, 646, 786, 2709, 721, 1100, 1439, 540, 3765, 27815, 3034, 16524, 1310, 267, 593, 519, 13738, 540, 26540, 543, 22500, 267, 538, 519, 24656, 569, 29190, 267, 519, 22171, 905, 16556, 267, 14120, 519, 14512, 540, 741, 4622, 269, 1809, 519, 3933, 4486, 3751, 1131, 723, 9039, 540, 519, 7908, 2032, 267, 543, 2893, 972, 1350, 7112, 1176, 563, 18658, 13542, 596, 20727, 17965, 9495, 4280, 606, 1256, 4587, 575, 756, 2548, 563, 2108, 2080, 594, 993, 267, 1152, 2185, 4627, 1296, 2025, 2223, 1767, 519, 3933, 4486, 3751, 267, 968, 296, 4076, 2907, 6603, 519, 15627, 540, 30493, 269, 1548, 811, 666, 594, 4126, 543, 11441, 585, 286, 1548, 568, 972, 2362, 982, 513, 4622, 18313, 2108, 7312, 20727, 17965, 2223, 519, 575, 756, 2548, 5887, 3293, 267, 968, 933, 723, 2479, 1044, 18507, 596, 11058, 3481, 689, 6149, 267, 3357, 1851, 721, 267, 543, 1336, 721, 713, 6456, 13946, 3297, 519, 1216, 6420, 269, 1284, 1500, 596, 938, 4622, 607, 519, 6574, 8956, 649, 1223, 1655, 578, 269, 12846, 267, 594, 1590, 2995, 596, 602, 15438, 616, 711, 519, 5207, 540, 7919, 3034, 2108, 5445, 2461, 711, 9495, 1767, 519, 3933, 4486, 3751, 563, 2108, 5591, 267, 2659, 20727, 17965, 269, 26361, 873, 616, 519, 10971, 267, 945, 17743, 538, 24656, 543, 1827, 3047, 269, 3973, 972, 616, 8056, 677, 1023, 267, 945, 723, 6591, 1390, 7060, 543, 2661, 11014, 269, 1656, 6368, 972, 616, 6844, 13757, 543, 26636, 20130, 3430, 11663, 267, 945, 723, 22482, 21903, 543, 23012, 32193, 3034, 2108, 310, 16093, 995, 17373, 524, 3072, 519, 3933, 4486, 3751, 269, 968, 28646, 594, 666, 1831, 782, 1614, 17373, 1261, 2808, 513, 4090, 267, 543, 1767, 267, 968, 296, 1589, 594, 3580, 1376, 609, 519, 8056, 677, 1023, 269, 594, 3580, 3406, 519, 3618, 11489, 594, 4076, 1336, 835, 267, 543, 1451, 547, 1831, 835, 8885, 28461, 763, 1985, 6640, 267, 519, 3933, 4486, 3751, 10288, 513, 986, 1111, 581, 3710, 543, 16041, 609, 4829, 585, 519, 3460, 269, 3973, 646, 3576, 4734, 540, 1010, 1750, 1359, 5396, 267, 6083, 730, 19654, 547, 519, 6532, 779, 6316, 267, 543, 3323, 2066, 519, 1390, 4262, 563, 4002, 519, 2627, 540, 519, 8109, 7256, 267, 711, 2484, 689, 519, 22900, 3751, 779, 19289, 267, 519, 3933, 4486, 3751, 15354, 593, 513, 3046, 1066, 4224, 795, 583, 1154, 1657, 519, 6329, 269, 853, 4958, 4221, 5128, 856, 593, 621, 267, 646, 586, 1177, 2740, 543, 6594, 519, 6607, 563, 2108, 3086, 602, 594, 6557, 606, 8056, 677, 531, 267, 594, 1589, 594, 3580, 8038, 909, 547, 24656, 543, 1831, 513, 5601, 607, 1134, 269, 1809, 602, 779, 782, 1310, 513, 1434, 23040, 3034, 3891, 6806, 1010, 4064, 543, 3533, 1743, 26661, 883, 3207, 563, 5472, 693, 2899, 3933, 4486, 5433, 5128, 795, 17064, 539, 547, 1010, 3952, 269, 5565, 2367, 941, 804, 583, 4221, 1010, 1714, 28647, 269, 2290, 812, 1185, 519, 3068, 540, 513, 7504, 267, 519, 824, 540, 606, 3404, 563, 295, 16017, 8131, 4371, 606, 4013, 3561, 267, 799, 646, 6594, 5702, 269, 968, 3674, 707, 2012, 3933, 4486, 18313, 2108, 6546, 779, 1318, 2223, 1767, 3933, 4486, 267, 538, 513, 546, 10270, 563, 2108, 5472, 1318, 2223, 1767, 7621, 10361, 267, 968, 1326, 3001, 28461, 5445, 3323, 547, 8749, 1864, 1055, 269, 853, 22824, 2899, 267, 3933, 4486, 5949, 547, 16145, 1394, 269, 1703, 646, 4718, 5128, 267, 1869, 14084, 593, 519, 2666, 2336, 5445, 17031, 519, 4224, 543, 3323, 2066, 513, 964, 25544, 10750, 269, 634, 4262, 729, 24076, 538, 8289, 269, 968, 8489, 568, 713, 9495, 646, 4280, 269, 968, 4517, 875, 1705, 594, 1205, 1934, 18313, 2108, 3891, 6499, 547, 917, 875, 646, 3893, 1934, 17373, 2879, 9285, 21696, 8131, 563, 2108, 2791, 3893, 1934, 519, 1482, 1259, 607, 3025, 17373, 1767, 7621, 10361, 563, 5475, 513, 1247, 789, 3357, 547, 519, 3774, 540, 513, 2749, 269, 26361, 519, 10766, 729, 606, 4401, 726, 659, 731, 609, 3197, 538, 331, 4660, 538, 4154, 563, 291, 4932, 2177, 717, 12442, 5508, 5990, 700, 13263, 5508, 667, 2752, 298, 26614, 454, 2108, 27455, 540, 14730, 1145, 9495, 608, 13094, 3933, 4486, 267, 693, 2063, 4628, 25805, 269, 968, 3719, 602, 779, 519, 7706, 540, 962, 4821, 267, 7083, 540, 519, 16458, 256, 594, 1810, 1406, 4866, 1934, 28461, 2108, 6546, 779, 1018, 789, 782, 2161, 17373, 1767, 21696, 8131, 563, 2108, 3719, 594, 6557, 606, 8056, 677, 531, 17373, 1486, 6479, 3933, 4486, 269, 968, 296, 4076, 8854, 3564, 2669, 28461, 2108, 307, 749, 621, 547, 519, 9794, 17373, 1767, 7621, 10361, 563, 2108, 5472, 1318, 267, 594, 786, 17373, 1767, 3933, 4486, 267, 2879, 10248, 1010, 5234, 689, 922, 15720, 1747, 3297, 1010, 1274, 269, 968, 294, 992, 17373, 646, 524, 3072, 267, 543, 538, 3368, 513, 4090, 646, 729, 2220, 15781, 1079, 7397, 540, 12566, 3574, 609, 14686, 8247, 4586, 14071, 941, 1175, 737, 27570, 17373, 524, 3072, 21696, 8131, 267, 7904, 4370, 998, 519, 10766, 563, 2108, 31800, 1695, 267, 666, 1406, 596, 1491, 513, 24983, 9495, 1767, 7621, 10361, 267, 1318, 3297, 1864, 563, 12507, 4486, 10443, 1310, 873, 267, 1869, 2220, 15781, 269, 634, 1360, 1629, 976, 540, 519, 2749, 941, 17512, 1881, 267, 543, 546, 1563, 711, 15936, 269, 1635, 519, 942, 3933, 4486, 6603, 519, 20066, 540, 14730, 1145, 267, 7083, 962, 4821, 543, 519, 824, 8370, 7225, 2471, 540, 519, 16458, 941, 7996, 593, 519, 3268, 563, 2108, 306, 790, 267, 1018, 4667, 547, 581, 519, 8373, 9495, 4280, 962, 4821, 6179, 3585, 563, 10527, 8373, 9495, 1767, 3933, 4486, 269, 968, 763, 8373, 568, 596, 4076, 4547, 803, 1934, 28461, 2108, 3719, 27205, 267, 594, 26924, 596, 2223, 1767, 962, 4821, 267, 968, 9767, 786, 581, 24565, 9425, 543, 27052, 1765, 296, 1611, 267, 556, 268, 14445, 730, 1765, 560, 2774, 569, 2687, 547, 707, 2250, 23339, 269, 3973, 950, 519, 9409, 596, 4076, 2944, 814, 1044, 1285, 1263, 539, 1765, 296, 1611, 267, 22621, 32503, 3580, 581, 8120, 547, 519, 8092, 540, 8752, 585, 513, 6216, 1007, 1272, 3034, 14881, 1810, 1406, 1616, 547, 581, 6450, 1941, 17373, 1767, 3933, 4486, 269, 968, 296, 2760, 4941, 547, 5884, 538, 519, 1101, 1747, 256, 5213, 1406, 596, 8275, 594, 6557, 606, 8056, 677, 531, 18313, 2108, 2304, 8056, 677, 531, 17373, 1767, 962, 4821, 538, 1526, 1716, 566, 269, 968, 2467, 1590, 581, 930, 12161, 28461, 2108, 2750, 18075, 17373, 1767, 3933, 4486, 269, 968, 296, 3747, 547, 1294, 519, 19193, 540, 5020, 543, 12280, 3034, 312, 4821, 3366, 1864, 883, 519, 8065, 540, 14730, 1145, 267, 1141, 513, 804, 17064, 1951, 13949, 856, 1896, 1590, 344, 12531, 269, 3933, 4486, 22646, 11489, 646, 1336, 1010, 2012, 563, 2108, 16240, 11453, 17373, 26017, 3933, 4486, 267, 543, 519, 804, 17064, 5795, 1864, 835, 1019, 5529, 538, 13504, 269, 3933, 4486, 1025, 582, 1540, 1010, 2012, 689, 519, 11578, 269, 968, 6546, 1058, 798, 621, 2223, 646, 1767, 563, 22154, 568, 1034, 12150, 17373, 1486, 6479, 962, 4821, 563, 2108, 307, 749, 621, 547, 519, 9794, 17373, 1767, 3933, 4486, 269, 1261, 1793, 25428, 519, 1433, 9505, 543, 32357, 856, 269, 3973, 646, 1500, 1010, 1259, 1394, 547, 519, 2749, 3774, 267, 2220, 15781, 1010, 5234, 607, 646, 4682, 563, 9617, 3544, 519, 10766, 267, 3933, 4486, 2468, 5529, 543, 8593, 12902, 269, 1879, 646, 8118, 1010, 4064, 267, 646, 729, 1394, 593, 519, 4224, 538, 519, 8109, 7256, 563, 2108, 310, 16093, 995, 17373, 524, 3072, 3933, 4486, 607, 646, 29860, 547, 1010, 3952, 269, 968, 9202, 3247, 281, 24656, 3034, 12552, 547, 2473, 340, 3212, 545, 1156, 585, 1010, 11247, 267, 543, 26826, 2701, 874, 731, 0, 14240, 540, 960, 1895, 454, 281, 513, 1895, 540, 1004, 945, 960, 1927, 281, 971, 607, 513, 2433, 606, 6896, 1895, 540, 32283, 619, 1369, 513, 1870, 610, 824, 3919, 23897, 1343, 540, 10002, 4660, 993, 622, 2720, 8678, 1864, 543, 1287, 5555, 6896, 883, 960, 2516, 269, 2443, 20917, 987, 5362, 5576, 23702, 345, 267, 1715, 3840, 518, 267, 476, 2764, 8734, 269, 476, 1001, 272, 4438, 519, 1101, 12899, 267, 646, 8179, 5520, 262, 5114, 547, 519, 2754, 781, 2487, 5951, 540, 17498, 714, 902, 267, 799, 1185, 3769, 741, 960, 1895, 269, 2443, 29315, 661, 269, 15519, 18484, 267, 9931, 9335, 4750, 267, 476, 1015, 4119, 269, 476, 1960, 275, 536, 2433, 2324, 1895, 2560, 513, 2618, 17226, 7548, 693, 519, 8592, 22846, 2160, 3427, 540, 6925, 543, 2212, 540, 519, 14905, 1496, 13563, 5369, 12278, 5948, 316, 960, 1895, 593, 4638, 4713, 585, 519, 5767, 7160, 540, 519, 26616, 1299, 18926, 15015, 540, 10076, 15136, 2560, 2443, 645, 1115, 344, 24261, 267, 674, 28232, 267, 476, 1015, 2904, 476, 1960, 280, 454, 27094, 1913, 286, 1411, 1590, 2443, 972, 616, 936, 476, 1220, 267, 1822, 1913, 538, 938, 1863, 2228, 8675, 267, 855, 596, 616, 3168, 585, 835, 602, 779, 1152, 538, 519, 8585, 26713, 268, 31812, 1133, 30457, 9218, 563, 9359, 707, 1863, 4693, 2221, 543, 1205, 19957, 1569, 547, 3013, 781, 4102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12709, 1315, 11545, 1315, 1412, 310, 842, 787, 19046, 262, 9963, 607, 4764, 11897, 1424, 4365, 1062, 9672, 454, 2537, 5147, 476, 1708, 272, 454, 288, 968, 342, 842, 787, 19046, 892, 568, 9472, 547, 5734, 5045, 3887, 6141, 5245, 713, 15964, 267, 1247, 519, 13163, 540, 25561, 1108, 849, 9307, 519, 1646, 540, 513, 2942, 4095, 7909, 667, 760, 1961, 630, 296, 7495, 1070, 799, 1223, 3142, 2417, 5230, 4764, 538, 519, 4947, 3275, 563, 289, 9531, 14368, 6048, 22189, 1215, 3081, 1079, 4411, 18651, 1206, 786, 30908, 998, 689, 14182, 267, 8744, 1164, 12798, 267, 4764, 267, 5906, 15798, 543, 620, 18090, 1025, 11170, 1841, 563, 310, 7568, 902, 616, 1699, 585, 2694, 540, 15117, 543, 29517, 585, 14124, 12798, 14304, 1657, 476, 3445, 14790, 327, 267, 543, 972, 779, 849, 513, 9963, 585, 25983, 958, 1164, 29500, 2059, 930, 2127, 540, 519, 31005, 1014, 5032, 563, 29467, 568, 930, 5634, 14700, 827, 543, 6952, 906, 786, 4431, 3533, 547, 2417, 4764, 2223, 6004, 1215, 3081, 538, 513, 3381, 9337, 563, 2108, 10870, 770, 531, 2950, 1058, 849, 25231, 2933, 585, 5906, 15798, 607, 6329, 23630, 3670, 15432, 533, 17026, 601, 519, 5032, 563, 2108, 23382, 1441, 7088, 10006, 543, 25983, 958, 1164, 29500, 786, 1711, 13818, 2175, 2731, 1152, 2938, 2899, 513, 1032, 602, 949, 1291, 547, 9381, 11761, 543, 538, 1495, 566, 3034, 763, 13163, 3081, 519, 2942, 594, 7495, 786, 2333, 519, 10171, 540, 1657, 3328, 5162, 1606, 7428, 11811, 585, 1454, 540, 7013, 543, 9456, 5245, 563, 2108, 7197, 2916, 3631, 23500, 676, 519, 17531, 3589, 513, 2942, 594, 7495, 4806, 568, 2693, 547, 6414, 2394, 693, 2547, 4571, 1606, 7428, 2223, 519, 5767, 2916, 9920, 9337, 3081, 563, 763, 594, 7495, 12039, 267, 799, 9356, 3604, 538, 4262, 2627, 5210, 1063, 519, 9456, 543, 7262, 9341, 4095, 7909, 267, 814, 1044, 2630, 519, 594, 7495, 12939, 585, 5216, 540, 519, 2250, 8370, 4374, 267, 8757, 519, 1448, 693, 799, 606, 2680, 568, 10294, 563, 763, 15928, 7027, 540, 5245, 2063, 3923, 10294, 513, 31685, 585, 17160, 543, 15420, 2066, 15117, 267, 609, 476, 736, 267, 1822, 6811, 3056, 547, 1202, 3293, 9271, 540, 1269, 9264, 2929, 865, 2484, 563, 12812, 1934, 585, 519, 5767, 23004, 543, 21855, 269, 0, 1432, 1004, 798, 711, 1174, 568, 602, 3006, 519, 6408, 568, 2965, 519, 835, 4929, 519, 2042, 269, 769, 1978, 3871, 7128, 1560, 12514, 616, 1360, 5363, 543, 28146, 269, 968, 7712, 519, 12681, 1982, 3323, 538, 476, 1001, 275, 267, 20286, 723, 12628, 676, 476, 2412, 269, 276, 2600, 543, 519, 946, 540, 834, 26051, 1560, 257, 3196, 676, 10492, 8593, 476, 5379, 269, 276, 2600, 269, 20229, 781, 946, 540, 14723, 10936, 729, 4389, 676, 476, 1789, 269, 276, 2600, 267, 2687, 547, 513, 1867, 5950, 676, 519, 17318, 4972, 585, 519, 4975, 7027, 781, 5398, 8881, 543, 700, 22133, 27199, 4011, 3125, 338, 9730, 892, 630, 7468, 718, 476, 272, 1040, 1403, 713, 7678, 5170, 621, 568, 1447, 2693, 585, 7128, 547, 581, 9763, 538, 519, 1857, 3750, 607, 519, 4636, 798, 619, 563, 3080, 540, 519, 7887, 2152, 609, 3013, 779, 7890, 1062, 568, 32036, 3429, 269, 3683, 322, 992, 3429, 5540, 519, 1942, 540, 23948, 566, 543, 519, 6497, 1275, 540, 14586, 269, 1717, 267, 519, 3390, 814, 2943, 547, 581, 12517, 9619, 269, 769, 1249, 267, 1082, 14761, 3409, 602, 2527, 23948, 566, 814, 3366, 547, 513, 10565, 7771, 538, 6760, 267, 19696, 7194, 689, 519, 476, 1960, 271, 338, 267, 950, 6760, 3928, 8593, 676, 3592, 476, 2412, 2600, 269, 1717, 267, 2417, 1382, 814, 8810, 602, 2527, 23948, 566, 814, 2370, 1198, 593, 6760, 3928, 563, 17780, 593, 519, 1702, 2016, 538, 519, 2376, 621, 2829, 602, 968, 10501, 325, 31974, 24506, 519, 1297, 540, 12322, 3238, 609, 10963, 269, 3245, 476, 1960, 276, 547, 476, 1960, 280, 267, 519, 1297, 540, 1295, 832, 18486, 585, 10795, 10963, 12628, 476, 2537, 2600, 269, 20226, 920, 9016, 1857, 1225, 325, 31974, 585, 519, 6749, 538, 6760, 1848, 26597, 12322, 782, 1472, 519, 1158, 602, 798, 711, 723, 513, 1225, 325, 1168, 723, 13986, 10963, 538, 2789, 2081, 269, 3245, 6690, 547, 8695, 267, 10963, 616, 1360, 2653, 547, 11441, 1510, 513, 1225, 325, 1168, 269, 2353, 538, 782, 267, 811, 1004, 1510, 513, 1225, 325, 1168, 3479, 811, 454, 2108, 28893, 4892, 616, 4749, 24648, 958, 16934, 689, 7803, 21139, 3028, 2223, 634, 670, 4428, 15838, 5403, 6045, 269, 901, 4062, 540, 2963, 1175, 5809, 602, 3109, 1004, 616, 1419, 16934, 689, 21139, 942, 593, 2665, 269, 6271, 3390, 568, 875, 4686, 8062, 616, 585, 3979, 4892, 269, 2986, 519, 3979, 1977, 2665, 267, 1152, 1614, 547, 2947, 2600, 540, 2665, 1205, 513, 4693, 267, 519, 1964, 1205, 5418, 320, 20476, 7134, 630, 763, 670, 4428, 15838, 5403, 1040, 901, 2982, 875, 519, 5354, 540, 3979, 4892, 2760, 723, 513, 4693, 563, 29189, 783, 14213, 729, 519, 9803, 4080, 6760, 269, 8307, 476, 7906, 269, 276, 2665, 941, 4080, 538, 476, 1220, 279, 269, 901, 1223, 581, 1317, 519, 5354, 540, 4638, 6057, 9601, 1131, 1745, 1932, 11849, 3139, 547, 2995, 4896, 1018, 1185, 5949, 547, 873, 269, 634, 2949, 1297, 6592, 676, 519, 7128, 568, 1454, 2539, 982, 519, 645, 5425, 270, 5425, 11246, 1317, 513, 2603, 540, 519, 10963, 1004, 1867, 547, 519, 645, 5425, 827, 616, 711, 4080, 547, 519, 7128, 8259, 2219, 547, 581, 1360, 3978, 269, 4658, 616, 849, 811, 2693, 547, 1867, 519, 5168, 547, 519, 645, 5425, 982, 519, 7128, 563, 1103, 519, 1101, 9836, 1353, 540, 7128, 30468, 538, 476, 3192, 272, 267, 621, 729, 1336, 602, 519, 2949, 2557, 540, 7938, 1551, 5896, 3196, 547, 581, 1970, 281, 827, 476, 272, 260, 540, 782, 13341, 609, 4961, 269, 1323, 1383, 1141, 30468, 729, 2556, 568, 950, 7128, 10492, 723, 15963, 1373, 6322, 693, 873, 610, 952, 519, 1268, 568, 2469, 547, 2800, 1776, 6408, 269, 1879, 3871, 899, 713, 4755, 519, 2923, 1034, 540, 519, 942, 1281, 711, 1397, 519, 2407, 1650, 269, 3776, 2070, 540, 7128, 30468, 568, 4299, 676, 519, 2923, 538, 519, 2631, 602, 19951, 267, 950, 1945, 4523, 267, 1004, 7485, 856, 741, 11436, 543, 782, 789, 1294, 568, 519, 968, 21112, 892, 851, 540, 1018, 779, 2469, 593, 269, 634, 2601, 519, 2923, 1281, 713, 568, 547, 1205, 519, 3007, 540, 519, 1004, 563, 25802, 1906, 20737, 2731, 1205, 15658, 1042, 676, 519, 2669, 15163, 269, 589, 30290, 7890, 11024, 21622, 3081, 602, 267, 968, 1862, 719, 540, 476, 15757, 28715, 20737, 7247, 646, 1185, 26906, 267, 1152, 1614, 1185, 711, 14754, 606, 11056, 892, 630, 2171, 559, 476, 1001, 274, 1040, 634, 20737, 30992, 547, 2669, 4737, 941, 711, 15658, 1042, 676, 519, 2669, 15163, 267, 1256, 1498, 3592, 782, 540, 873, 723, 14754, 513, 16304, 269, 13317, 10751, 568, 711, 606, 2500, 1259, 547, 15658, 20737, 267, 2094, 519, 19175, 540, 7836, 835, 779, 3003, 1272, 3297, 13063, 4992, 1256, 8338, 269, 634, 20737, 945, 1589, 789, 666, 1205, 2476, 609, 741, 10963, 267, 849, 1589, 602, 789, 786, 711, 581, 13401, 952, 26722, 563, 763, 2333, 538, 519, 1297, 540, 15963, 602, 1004, 11751, 585, 1582, 12413, 1619, 568, 4440, 1813, 547, 513, 2539, 1377, 540, 6015, 538, 1514, 3354, 543, 519, 2178, 2631, 540, 1582, 11091, 269, 901, 7613, 2303, 602, 519, 2527, 15246, 2621, 814, 1185, 513, 3983, 1198, 593, 519, 15000, 2790, 1072, 543, 1256, 1500, 873, 1745, 19225, 2989, 1310, 6217, 971, 3377, 269, 24511, 267, 1082, 1004, 1589, 602, 952, 1082, 1004, 723, 519, 15963, 543, 891, 1004, 945, 723, 15963, 616, 4478, 609, 873, 267, 789, 949, 581, 14126, 827, 930, 3983, 1919, 4755, 630, 295, 18779, 3118, 476, 1960, 276, 1040, 1403, 519, 2229, 6430, 547, 1852, 15963, 811, 14553, 267, 713, 3375, 1522, 2047, 2569, 519, 8458, 540, 519, 2527, 15246, 2152, 1317, 7784, 568, 519, 1152, 1907, 585, 15246, 269, 4595, 519, 2527, 15246, 2152, 568, 23248, 454, 763, 1101, 3296, 6257, 2528, 540, 4250, 543, 6760, 6408, 1436, 602, 6257, 602, 4250, 540, 6760, 568, 4742, 8338, 982, 6760, 538, 2489, 269, 634, 2034, 3296, 12909, 827, 519, 3604, 538, 4008, 585, 4250, 540, 6760, 543, 6760, 6408, 1436, 269, 4033, 3173, 1533, 602, 2021, 4043, 547, 936, 516, 716, 547, 4250, 540, 6760, 267, 799, 568, 1946, 1239, 2982, 602, 2367, 779, 1267, 540, 4250, 3587, 5393, 2539, 982, 2021, 269, 1717, 267, 950, 9236, 4890, 9601, 540, 10963, 267, 2367, 4043, 547, 4250, 6760, 811, 982, 2021, 269, 634, 3803, 3296, 6227, 519, 2278, 779, 1292, 1445, 540, 519, 1957, 267, 799, 568, 6760, 6408, 1436, 267, 4250, 540, 6760, 543, 1134, 5630, 563, 26212, 547, 519, 4367, 547, 11523, 267, 25933, 543, 1200, 542, 941, 811, 7199, 5061, 269, 634, 3075, 3755, 941, 1004, 945, 1223, 6488, 519, 811, 7199, 5061, 269, 1879, 519, 5061, 2968, 1447, 7199, 267, 1383, 11523, 267, 1004, 941, 711, 1818, 607, 1454, 2724, 1373, 513, 11523, 31066, 607, 789, 1705, 3379, 547, 519, 3735, 476, 3199, 779, 269, 8409, 4622, 335, 1231, 941, 2469, 547, 7890, 610, 12955, 543, 519, 7820, 5108, 4769, 1406, 1745, 899, 519, 8766, 993, 8083, 789, 1223, 1118, 610, 11318, 2576, 936, 621, 729, 4502, 519, 21569, 942, 269, 1924, 1256, 1498, 519, 6760, 2557, 8593, 1813, 547, 713, 267, 621, 729, 4986, 538, 6476, 547, 519, 6871, 602, 5061, 3361, 519, 6760, 547, 2333, 538, 1991, 454, 2252, 602, 851, 540, 4884, 814, 811, 6760, 855, 1175, 5949, 547, 723, 811, 12102, 5515, 538, 621, 1058, 621, 581, 2808, 7292, 27992, 286, 3143, 269, 634, 2376, 2829, 267, 968, 22746, 13623, 786, 581, 26997, 547, 946, 10763, 2645, 267, 971, 607, 13664, 11837, 267, 547, 2697, 2127, 538, 991, 540, 811, 3007, 952, 713, 19310, 1080, 8801, 2923, 32398, 1848, 1403, 2384, 18779, 616, 18901, 547, 798, 741, 2816, 1317, 519, 1857, 1522, 31111, 1287, 1945, 568, 4636, 563, 1103, 11526, 3609, 2115, 547, 581, 2813, 865, 519, 3617, 3268, 666, 581, 1500, 547, 1847, 689, 938, 1699, 1062, 540, 2527, 23948, 566, 547, 513, 1062, 602, 3927, 11222, 559, 924, 525, 25476, 799, 2164, 538, 2539, 6760, 3928, 269, 2991, 782, 938, 7803, 5126, 1062, 729, 711, 3964, 9003, 547, 24835, 659, 10028, 25476, 267, 621, 1058, 849, 5351, 538, 4227, 973, 573, 13659, 269, 29407, 267, 4244, 2366, 9760, 267, 543, 2790, 1072, 782, 1031, 547, 581, 2629, 3334, 540, 519, 7803, 5126, 1062, 269, 3973, 938, 2486, 4718, 513, 7372, 6175, 538, 2790, 1072, 6703, 607, 1134, 607, 513, 9228, 2333, 538, 6760, 269, 17235, 729, 9228, 547, 723, 2799, 1813, 547, 14761, 543, 519, 5313, 2229, 840, 3539, 593, 2486, 779, 4250, 540, 6760, 547, 2417, 741, 2797, 11044, 543, 989, 31789, 563, 13010, 267, 1034, 540, 713, 2333, 568, 519, 1267, 540, 9628, 1412, 338, 12638, 2557, 2810, 865, 3648, 269, 1284, 616, 4278, 2683, 602, 6760, 3928, 616, 13302, 267, 855, 6999, 547, 917, 1018, 568, 6117, 909, 519, 12638, 3928, 538, 1978, 4872, 269, 2368, 4966, 3494, 621, 568, 1813, 547, 7864, 7128, 10492, 543, 5924, 7864, 3292, 2966, 547, 2061, 5208, 269, 24770, 1281, 2408, 547, 1404, 513, 1909, 538, 713, 1966, 267, 543, 519, 1482, 568, 3020, 540, 513, 4473, 538, 14228, 5208, 538, 891, 4872, 269, 2060, 519, 1699, 7245, 3168, 693, 7784, 1852, 4031, 267, 713, 949, 581, 4657, 267, 855, 1100, 835, 666, 2161, 1018, 1764, 713, 786, 5963, 723, 269, 0, 15919, 538, 2565, 3871, 267, 621, 568, 7543, 585, 513, 30564, 12016, 547, 1832, 3237, 3238, 269, 1879, 513, 12016, 666, 2995, 602, 519, 2385, 568, 7680, 513, 6433, 543, 616, 538, 2347, 11784, 267, 519, 12016, 666, 31719, 609, 3835, 1344, 547, 2061, 519, 2385, 689, 29083, 741, 3929, 1533, 269, 1306, 1767, 538, 513, 10839, 267, 968, 11693, 519, 7925, 2990, 789, 616, 538, 594, 1810, 1406, 1589, 789, 616, 32615, 267, 543, 621, 9327, 1406, 581, 1697, 2901, 267, 547, 6338, 873, 547, 10782, 2013, 7653, 892, 630, 1805, 8681, 553, 543, 12049, 686, 802, 523, 267, 476, 3445, 276, 1040, 898, 666, 581, 5393, 2182, 585, 513, 12016, 547, 1900, 1394, 543, 2322, 2933, 538, 519, 2990, 540, 519, 2385, 267, 968, 2005, 729, 7168, 9157, 269, 1656, 3833, 796, 3553, 339, 1782, 3267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 1724, 281, 19391, 26494, 538, 4000, 910, 589, 11879, 22410, 540, 15525, 781, 31898, 7595, 543, 589, 2388, 692, 7072, 692, 763, 24339, 26494, 1184, 538, 4000, 814, 1044, 6825, 676, 13352, 543, 6238, 267, 3356, 543, 22303, 269, 634, 1909, 5129, 676, 5007, 11051, 267, 3226, 5375, 7060, 971, 607, 519, 2136, 2276, 267, 814, 1419, 1044, 9808, 9853, 609, 15784, 543, 27171, 269, 901, 3184, 786, 9691, 4983, 5449, 2475, 5518, 4446, 871, 15525, 781, 1935, 2509, 24339, 26494, 538, 4000, 998, 7421, 1010, 18531, 543, 4507, 267, 5373, 4296, 547, 6626, 9840, 1369, 2797, 2257, 3823, 11180, 10350, 538, 519, 3148, 269, 1284, 786, 2253, 676, 3695, 1883, 2035, 1644, 547, 24339, 26494, 267, 1519, 922, 4214, 267, 3140, 2796, 267, 2591, 267, 543, 10781, 269, 8921, 267, 649, 786, 5490, 883, 15525, 781, 20116, 593, 24339, 26494, 538, 4000, 267, 6313, 1808, 8320, 1141, 646, 13994, 4327, 3741, 543, 2418, 2404, 609, 11180, 10350, 269, 30272, 267, 649, 786, 29506, 1125, 15525, 781, 3609, 2594, 1471, 268, 14504, 23724, 891, 7150, 3853, 267, 9878, 1880, 3007, 547, 2665, 1141, 972, 949, 723, 1044, 27753, 1063, 1010, 1913, 543, 23339, 269, 7053, 267, 649, 786, 2992, 2390, 930, 540, 519, 30852, 1377, 539, 1996, 15525, 781, 18879, 593, 24339, 26494, 538, 4000, 267, 2502, 609, 4207, 14046, 5380, 543, 12170, 2963, 780, 4089, 476, 272, 281, 4197, 19391, 26494, 538, 4000, 692, 6524, 25054, 2390, 938, 6514, 540, 15525, 781, 20116, 543, 3527, 7282, 24339, 26494, 538, 4000, 267, 621, 568, 1898, 547, 3715, 513, 13654, 1620, 540, 713, 1950, 7613, 269, 2311, 922, 4295, 267, 24339, 26494, 4016, 547, 519, 5912, 689, 28974, 4341, 2509, 811, 11347, 3029, 540, 2229, 6353, 676, 1863, 543, 4023, 12836, 267, 4027, 540, 3540, 23118, 267, 543, 2463, 585, 1480, 2924, 269, 769, 2259, 267, 2705, 267, 24339, 26494, 3157, 616, 10355, 5276, 610, 5347, 282, 3079, 267, 789, 4749, 4125, 19758, 331, 4575, 267, 19514, 1646, 267, 543, 10770, 2591, 780, 30399, 6340, 267, 3646, 547, 3895, 24339, 26494, 538, 4000, 1590, 581, 13883, 1369, 519, 3677, 2518, 2796, 540, 28160, 1436, 543, 12019, 2782, 6214, 269, 4438, 519, 2022, 28131, 2782, 4083, 5736, 267, 3864, 3935, 9088, 7930, 24013, 4319, 689, 741, 16857, 22590, 2066, 519, 11782, 267, 3056, 547, 519, 11944, 540, 9241, 4830, 2829, 269, 1717, 267, 1082, 540, 891, 13439, 1417, 2477, 15110, 5841, 10665, 6537, 676, 7810, 16984, 267, 4617, 5238, 267, 543, 3908, 1995, 609, 1582, 3766, 4261, 766, 269, 1306, 513, 1267, 267, 1313, 7095, 20816, 1419, 4904, 519, 1379, 12511, 2451, 3297, 676, 1427, 11661, 11440, 7060, 269, 5047, 267, 2706, 12741, 15180, 1845, 1282, 519, 12019, 2782, 2417, 28978, 16132, 543, 14944, 1441, 16548, 585, 11180, 28051, 267, 607, 1312, 519, 8168, 5742, 543, 519, 2136, 2276, 605, 5529, 909, 7817, 28983, 4721, 13988, 609, 741, 9757, 20748, 989, 31789, 780, 1103, 2487, 5756, 267, 2705, 267, 1896, 2188, 723, 8329, 547, 17105, 1719, 538, 5009, 24339, 26494, 538, 4000, 269, 1452, 1331, 2799, 2604, 689, 3486, 3906, 971, 607, 519, 3979, 5742, 630, 288, 308, 1070, 799, 814, 7550, 29708, 10850, 10771, 1434, 10350, 543, 2463, 585, 1480, 2924, 282, 519, 1439, 540, 519, 12019, 2782, 267, 799, 6569, 1454, 540, 519, 23786, 24117, 30343, 1489, 585, 28974, 17710, 282, 543, 519, 865, 10777, 834, 628, 2273, 5951, 257, 540, 24339, 26494, 602, 25626, 2066, 1585, 4525, 540, 519, 1158, 4098, 538, 519, 3735, 476, 3192, 271, 338, 269, 6736, 891, 2318, 7835, 267, 3875, 9465, 3136, 547, 17225, 6209, 3356, 2509, 11180, 29947, 538, 4000, 267, 8151, 689, 31737, 19121, 720, 5121, 543, 24245, 13313, 547, 10795, 7526, 543, 17866, 1533, 3125, 780, 4089, 476, 273, 281, 22718, 15525, 781, 31898, 7595, 593, 19391, 26494, 538, 4000, 692, 26139, 560, 713, 20457, 267, 1577, 721, 1631, 2490, 938, 3007, 547, 15525, 781, 11407, 593, 24339, 26494, 538, 4000, 269, 10801, 1010, 26022, 607, 2475, 7022, 267, 15525, 9846, 12006, 519, 2956, 540, 5807, 11180, 10350, 593, 519, 11782, 267, 19163, 602, 3257, 865, 1131, 6038, 4196, 1977, 4690, 1247, 849, 14027, 3838, 2418, 971, 607, 5191, 267, 7862, 267, 543, 5126, 269, 1280, 3236, 267, 538, 1010, 8978, 2232, 547, 19168, 781, 14618, 538, 476, 1220, 280, 1107, 4922, 9833, 607, 835, 540, 1010, 1034, 1713, 18531, 593, 4000, 1107, 15525, 7682, 539, 602, 834, 22152, 320, 3085, 1405, 991, 2178, 5443, 267, 621, 2115, 2178, 5238, 1701, 1261, 556, 3438, 730, 713, 5048, 1282, 1010, 3643, 547, 7354, 20235, 538, 476, 1001, 274, 267, 17548, 602, 834, 7224, 2197, 568, 2469, 547, 1711, 5763, 952, 922, 3401, 17908, 519, 4346, 547, 10802, 2933, 267, 610, 7128, 666, 581, 11751, 1055, 676, 3075, 911, 742, 1157, 619, 3010, 22818, 24076, 1705, 15525, 781, 7029, 547, 24339, 26494, 538, 4000, 2097, 998, 811, 3196, 2685, 982, 538, 1010, 5147, 476, 1001, 276, 4633, 1354, 519, 22847, 538, 1520, 4134, 2806, 19487, 267, 18629, 1107, 519, 1101, 9361, 1977, 7022, 547, 798, 865, 269, 769, 713, 2232, 267, 15525, 3288, 24231, 519, 3919, 781, 3646, 547, 3895, 4708, 267, 3354, 267, 543, 13884, 2066, 519, 11782, 267, 1247, 8195, 28409, 4759, 2829, 547, 2699, 19302, 741, 19647, 547, 30176, 11180, 8155, 543, 7863, 4961, 262, 2924, 269, 13018, 267, 646, 5579, 1819, 22847, 2818, 547, 1384, 272, 269, 7736, 791, 29774, 585, 1480, 2924, 28407, 281, 15525, 1572, 2390, 3979, 3401, 547, 3180, 18177, 1346, 3743, 585, 10419, 7992, 5208, 1996, 21127, 267, 2566, 532, 602, 834, 15290, 513, 6205, 13290, 547, 1689, 519, 3652, 538, 519, 1647, 540, 519, 3014, 1175, 547, 3251, 538, 5604, 267, 621, 4220, 16132, 543, 1193, 1057, 2443, 607, 649, 4312, 2938, 538, 8738, 1495, 328, 269, 1656, 3006, 950, 1004, 804, 532, 547, 1379, 998, 13313, 543, 13587, 527, 543, 12932, 9179, 267, 789, 1981, 519, 32716, 540, 1686, 543, 519, 29832, 755, 540, 741, 1378, 1004, 4799, 273, 269, 23340, 3152, 11413, 543, 4339, 13313, 281, 3502, 532, 602, 13313, 521, 2355, 2804, 2208, 543, 14944, 1149, 1857, 3972, 267, 15525, 24016, 22847, 2818, 547, 9784, 11413, 267, 22371, 267, 543, 20519, 2861, 3375, 6194, 607, 1884, 573, 4925, 547, 21910, 543, 23659, 29342, 766, 563, 274, 269, 32754, 4008, 7862, 281, 20876, 602, 2021, 543, 6690, 3068, 2189, 7496, 547, 2407, 7589, 538, 2486, 267, 15525, 17938, 9285, 22847, 2818, 547, 2327, 3160, 6041, 538, 782, 21384, 540, 1272, 267, 1519, 6214, 267, 2069, 267, 543, 7694, 563, 275, 269, 11559, 6237, 5610, 281, 31209, 532, 519, 1761, 2640, 540, 4514, 2804, 9316, 1851, 3979, 6082, 267, 15525, 9415, 22847, 2818, 547, 11654, 16529, 4123, 11650, 543, 11745, 1125, 9431, 4441, 267, 7551, 2870, 3255, 585, 8994, 2744, 543, 7393, 7104, 6043, 780, 4002, 1957, 267, 15525, 781, 20116, 5526, 862, 754, 762, 267, 18220, 532, 1082, 540, 519, 17050, 1279, 4371, 676, 15156, 540, 11180, 10350, 538, 4000, 269, 1809, 1281, 713, 11407, 14377, 883, 6405, 2962, 286, 1677, 1018, 6708, 1705, 15525, 781, 4507, 5447, 609, 1010, 2024, 539, 7029, 547, 24339, 26494, 593, 519, 11782, 2496, 4089, 476, 274, 281, 28518, 15525, 781, 8889, 16680, 593, 19391, 26494, 538, 4000, 692, 2414, 2708, 15525, 781, 3609, 2594, 593, 24339, 26494, 538, 4000, 267, 835, 1590, 2015, 513, 2039, 540, 2152, 17364, 23372, 267, 5351, 267, 4123, 267, 543, 3354, 269, 2755, 2230, 10148, 840, 2850, 606, 29882, 2689, 267, 1896, 32330, 1806, 9414, 519, 771, 329, 15802, 1063, 15525, 781, 20116, 543, 4641, 780, 5575, 267, 5103, 26823, 2471, 547, 3490, 4914, 3609, 3664, 593, 2379, 4184, 539, 6763, 2864, 982, 7522, 7580, 9273, 267, 15525, 781, 6278, 609, 1978, 28974, 20816, 12651, 2055, 827, 1010, 3020, 15752, 269, 6333, 267, 585, 1383, 267, 1010, 7245, 781, 2673, 13218, 609, 12266, 5518, 19869, 601, 674, 3430, 1695, 1714, 4149, 27599, 267, 945, 3357, 547, 1379, 1739, 513, 4108, 19420, 538, 476, 1001, 274, 543, 814, 2094, 13327, 523, 7839, 1480, 2924, 19374, 13389, 20859, 267, 15628, 267, 543, 11685, 5515, 269, 6684, 267, 15525, 781, 19385, 766, 547, 18149, 333, 27431, 663, 534, 5518, 6754, 918, 698, 877, 781, 3791, 2165, 19915, 1765, 9188, 3145, 2312, 13338, 10238, 1431, 1765, 571, 2478, 22027, 827, 2436, 519, 2475, 7022, 22992, 3922, 1242, 11180, 2418, 936, 31544, 4145, 780, 13553, 267, 4352, 15525, 14578, 14129, 519, 2956, 540, 8396, 1154, 13313, 543, 5009, 11413, 267, 1010, 7245, 781, 3950, 2594, 593, 891, 18651, 1206, 3788, 6404, 693, 1655, 269, 2201, 835, 1688, 267, 7341, 971, 607, 519, 7046, 6554, 26844, 1765, 5055, 684, 3481, 24973, 609, 19384, 5518, 667, 559, 2742, 681, 28907, 742, 538, 476, 1001, 272, 1765, 12047, 2970, 622, 513, 9758, 7029, 547, 5807, 3152, 12477, 543, 12504, 7589, 269, 2201, 519, 824, 1688, 267, 1164, 3491, 12803, 23215, 1023, 5473, 7330, 2839, 30845, 3785, 512, 20557, 676, 31482, 540, 12611, 543, 25314, 534, 1771, 5641, 8969, 593, 6115, 781, 2702, 547, 3927, 2936, 4550, 2275, 528, 8306, 3800, 538, 2259, 780, 23612, 267, 1247, 15525, 1318, 569, 17019, 519, 13710, 1761, 540, 6237, 5610, 585, 4000, 781, 2804, 6830, 17480, 267, 1010, 7245, 781, 5605, 2526, 775, 2509, 27410, 4776, 22460, 4123, 12417, 609, 1016, 25781, 2477, 5267, 513, 3668, 540, 25843, 1063, 20116, 543, 3609, 269, 11569, 267, 13915, 8044, 602, 519, 5821, 547, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 310, 9820, 11445, 715, 29220, 18553, 13187, 602, 513, 5458, 575, 5285, 6013, 1063, 2475, 5518, 4446, 871, 15525, 779, 20116, 543, 3527, 593, 4000, 563, 4517, 4319, 631, 342, 12629, 779, 2487, 2376, 934, 6748, 15525, 540, 9117, 899, 968, 320, 7810, 2212, 2006, 7898, 1005, 519, 25165, 593, 875, 547, 13789, 607, 1434, 5396, 892, 814, 25793, 14414, 513, 5266, 1507, 3046, 14141, 540, 9880, 602, 519, 2864, 11786, 21051, 663, 534, 19784, 729, 4636, 538, 1010, 2079, 563, 3080, 5856, 267, 585, 1383, 267, 9901, 602, 631, 342, 12629, 15763, 968, 1492, 1249, 602, 15525, 267, 1282, 1010, 11564, 547, 15057, 543, 18629, 267, 814, 1527, 6150, 5128, 811, 982, 4376, 3116, 607, 606, 12167, 585, 1346, 20338, 945, 1796, 909, 585, 5126, 543, 9111, 1848, 6271, 4682, 607, 2484, 607, 10912, 631, 342, 12629, 513, 29660, 10784, 21526, 585, 934, 6748, 519, 7022, 540, 968, 4148, 698, 7949, 3834, 4531, 19192, 1848, 1703, 568, 513, 2603, 602, 666, 581, 1767, 827, 631, 342, 12629, 779, 16555, 267, 855, 1934, 594, 1131, 899, 547, 1445, 593, 519, 1101, 3409, 563, 11917, 4821, 779, 4633, 547, 519, 3979, 5742, 630, 288, 308, 264, 729, 835, 540, 519, 1655, 646, 814, 2016, 1282, 1010, 24164, 267, 693, 2547, 547, 803, 269, 898, 729, 1134, 17031, 267, 2143, 543, 13730, 267, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20779, 4531, 26494, 538, 4000, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 2622, 1315, 3979, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 7600, 1227, 24167, 18321, 543, 20154, 640, 1369, 11806, 266, 18877, 281, 1323, 16709, 3414, 519, 30776, 540, 18919, 294, 6630, 304, 290, 9210, 30178, 692, 296, 269, 4985, 692, 1103, 4207, 2486, 267, 2055, 4478, 5132, 267, 17035, 267, 543, 4638, 3961, 616, 4742, 5051, 7986, 269, 8479, 4079, 267, 3226, 1346, 945, 2697, 607, 24139, 267, 14447, 267, 25251, 267, 19574, 267, 20210, 630, 299, 294, 6630, 304, 1070, 610, 15819, 267, 1419, 20920, 609, 891, 2152, 607, 789, 6330, 741, 2123, 4978, 543, 2833, 269, 901, 1576, 1770, 20217, 1053, 547, 9691, 5659, 5132, 543, 17035, 1369, 11806, 266, 2950, 1210, 519, 2372, 6033, 3919, 14886, 585, 15776, 15487, 267, 22985, 267, 645, 21361, 267, 3690, 14054, 267, 543, 6581, 518, 31700, 262, 630, 14566, 294, 6630, 304, 290 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9577, 547, 2936, 1715, 27971, 1505, 269, 12726, 2418, 1031, 454, 16482, 258, 589, 5960, 692, 258, 1104, 19523, 454, 258, 535, 815, 19523, 27769, 341, 314, 272, 2639, 258, 17093, 815, 19523, 27769, 341, 314, 273, 6540, 454, 5228, 2979, 1104, 27661, 5228, 11885, 1104, 2608, 7531, 3698, 1007, 2023, 630, 535, 267, 17093, 267, 1535, 267, 547, 331, 2187, 453, 12248, 815, 476, 271, 454, 453, 6112, 6936, 912, 453, 453, 338, 815, 910, 325, 3287, 8358, 4206, 3287, 264, 1948, 938, 13053, 1900, 454, 453, 453, 343, 815, 1535, 1341, 338, 454, 453, 453, 12248, 6834, 476, 272, 3097, 453, 14851, 2612, 4433, 264, 10922, 547, 331, 281, 2736, 454, 16596, 1535, 267, 521, 267, 1293, 692, 3698, 1007, 6124, 6600, 267, 17093, 267, 1535, 267, 547, 331, 2187, 453, 338, 815, 910, 325, 3287, 8358, 4206, 3287, 994, 453, 343, 272, 815, 1535, 266, 338, 454, 16596, 2612, 3287, 272, 910, 1535, 2020, 3698, 535, 3287, 2187, 16596, 16009, 327, 3287, 994, 3698, 17093, 3287, 2187, 16596, 476, 272, 24179, 11927, 327, 3287, 12684, 11927, 327, 3287, 11723, 2745, 1007, 6124, 630, 325, 267, 17093, 267, 1547, 1822, 273, 267, 476, 272, 324, 268, 1015, 2020, 28744, 11344, 263, 535, 267, 476, 272, 269, 276, 2020, 18851, 9214, 323, 4601, 3608, 543, 1972, 1043, 5690, 269, 5700, 585, 1272, 269, 8173, 0, 22552, 815, 3403, 4590, 304, 815, 703, 9272, 15405, 1721, 9041, 538, 2039, 263, 304, 2187, 825, 635, 815, 3403, 14061, 20889, 4590, 825, 952, 635, 314, 271, 316, 2652, 1412, 2745, 12466, 1038, 513, 267, 536, 815, 703, 263, 1260, 314, 272, 25818, 703, 263, 1260, 314, 273, 7481, 1038, 1820, 263, 22552, 314, 320, 281, 321, 1341, 476, 272, 7481, 825, 952, 635, 314, 271, 316, 2652, 1412, 516, 2091, 12466, 1038, 513, 267, 536, 815, 703, 263, 1260, 314, 272, 25818, 703, 263, 1260, 314, 273, 7481, 1038, 31031, 815, 31031, 11468, 320, 316, 1341, 31031, 314, 320, 281, 321, 1341, 476, 272, 6012, 15311, 268, 272, 316, 1341, 31031, 314, 321, 1341, 476, 272, 281, 2639, 825, 952, 635, 314, 271, 316, 2652, 1412, 516, 2897, 12466, 1038, 513, 267, 536, 267, 5621, 815, 703, 263, 1260, 314, 272, 25818, 703, 263, 1260, 314, 273, 25818, 635, 314, 274, 2639, 1038, 31031, 815, 31031, 11468, 320, 316, 1341, 5621, 1341, 31031, 314, 321, 1341, 476, 272, 281, 316, 0, 6112, 6936, 912, 825, 670, 267, 654, 815, 4786, 17301, 267, 3403, 14061, 20889, 15405, 825, 952, 670, 2652, 476, 271, 543, 654, 2652, 476, 271, 912, 1038, 2736, 454, 825, 585, 554, 538, 2039, 263, 295, 2187, 1038, 952, 554, 2652, 476, 271, 912, 2018, 1820, 3488, 258, 262, 2608, 654, 994, 1038, 8640, 554, 11203, 476, 271, 543, 554, 11203, 670, 910, 476, 272, 912, 2018, 1820, 3488, 258, 3299, 1412, 9538, 2608, 630, 310, 910, 476, 273, 1070, 1412, 258, 3299, 694, 335, 8782, 5073, 1038, 8640, 554, 2652, 670, 910, 476, 272, 912, 2018, 1820, 3488, 258, 262, 2608, 654, 994, 825, 1820, 3890, 0, 338, 815, 3403, 4590, 335, 815, 3403, 4590, 2745, 3488, 8133, 262, 952, 630, 338, 1341, 521, 1040, 12248, 9638, 264, 3436, 476, 271, 3116, 1412, 5591, 10807, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 12693, 29030, 490, 494, 30319, 424, 488, 353, 423, 354, 376, 29030, 503, 506, 424, 504, 358, 17432, 506, 14091, 491, 364, 27338, 425, 482, 364, 10563, 507, 368, 17432, 368, 692, 258, 769, 314, 272, 28660, 454, 3240, 25988, 815, 18358, 3316, 3570, 3299, 1412, 20625, 3299, 1412, 322, 22929, 23300, 2745, 30044, 25988, 314, 271, 7481, 2745, 30044, 25988, 314, 272, 7481, 2745, 30044, 25988, 314, 273, 7481, 2745, 30044, 25988, 314, 272, 281, 274, 8079, 1948, 10563, 366, 360, 423, 366, 486, 424, 356, 372, 14091, 495, 494, 423, 366, 486, 424, 356, 372, 21844, 364, 478, 32510, 372, 424, 502, 353, 422, 372, 364, 7531, 258, 769, 314, 273, 28660, 454, 1721, 6221, 538, 1250, 25988, 912, 825, 1820, 263, 14403, 9239, 258, 12693, 14091, 498, 499, 424, 483, 498, 423, 482, 486, 423, 355, 361, 20573, 5315, 2020, 258, 769, 314, 274, 28660, 454, 18743, 272, 815, 27835, 821, 9166, 262, 17432, 502, 423, 480, 502, 3299, 1412, 18314, 9166, 257, 423, 495, 502, 2580, 1412, 22764, 9166, 262, 424, 483, 489, 262, 8679, 18743, 273, 815, 2715, 272, 281, 257, 17432, 502, 423, 480, 502, 2580, 476, 273, 281, 257, 423, 495, 502, 2580, 476, 274, 281, 257, 424, 483, 489, 257, 8679, 18743, 274, 815, 27835, 3712, 272, 9166, 314, 272, 267, 273, 267, 274, 3910, 1412, 3712, 273, 9166, 9131, 320, 12887, 321, 12887, 322, 11172, 348, 7531, 258, 769, 314, 275, 28660, 454, 2745, 5560, 1112, 272, 994, 2745, 5560, 1112, 273, 994, 2745, 5560, 1112, 274, 9239, 258, 769, 314, 276, 28660, 454, 2745, 5560, 1112, 272, 9131, 821, 262, 7481, 2745, 5560, 1112, 273, 314, 273, 7481, 2745, 5560, 1112, 274, 9131, 3712, 273, 11172, 9239, 258, 12693, 29030, 490, 494, 30319, 424, 488, 353, 14091, 359, 357, 423, 497, 486, 14091, 370, 486, 423, 509, 361, 424, 502, 353, 422, 372, 364, 692, 258, 769, 314, 278, 28660, 454, 5814, 21795, 607, 19073, 476, 1948, 21795, 423, 354, 376, 14091, 370, 486, 423, 509, 361, 424, 502, 353, 422, 367, 510, 19073, 423, 350, 506, 10563, 499, 377, 28990, 494, 423, 350, 506, 424, 482, 506, 10563, 497, 364, 422, 366, 510, 30319, 563, 692, 258, 769, 314, 279, 28660, 454, 5228, 21795, 1104, 10022, 267, 4578, 20988, 476, 1948, 21795, 424, 499, 486, 14602, 502, 10022, 424, 503, 478, 4578, 20988, 14091, 354, 376, 14091, 370, 486, 423, 509, 361, 424, 502, 368, 563, 692, 258, 769, 314, 280, 28660, 454, 2745, 2891, 335, 663, 553, 14091, 366, 482, 32510, 482, 2433, 14307, 19073, 14857, 11437, 1029, 9239, 258, 12693, 29030, 503, 491, 422, 372, 372, 423, 493, 503, 29030, 490, 478, 423, 367, 482, 14091, 490, 478, 17432, 511, 21844, 366, 490, 28990, 482, 476, 276, 14602, 376, 32174, 482, 14602, 502, 10563, 510, 494, 424, 486, 502, 692, 258, 769, 314, 1015, 28660, 454, 16557, 815, 10022, 263, 1496, 1911, 271, 267, 9610, 876, 267, 476, 4968, 271, 267, 476, 4968, 271, 267, 476, 1911, 271, 316, 12467, 2745, 263, 16557, 9239, 258, 769, 314, 1556, 28660, 454, 2745, 2891, 28990, 494, 423, 352, 490, 425, 502, 499, 29030, 503, 499, 14602, 372, 2433, 14307, 1826, 263, 16557, 264, 9239, 258, 769, 314, 1321, 28660, 454, 1012, 10022, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 29030, 503, 499, 14602, 372, 7531, 258, 769, 314, 1724, 28660, 454, 2745, 263, 16557, 28827, 9239, 258, 769, 314, 1691, 28660, 454, 1012, 10022, 21844, 364, 496, 29030, 503, 499, 14602, 372, 454, 2745, 263, 16557, 269, 11161, 9239, 258, 12693, 29030, 490, 494, 30319, 424, 488, 353, 10563, 489, 506, 423, 355, 361, 424, 355, 486, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 10563, 356, 478, 32510, 499, 692, 258, 769, 314, 1428, 28660, 454, 16557, 815, 10022, 263, 1496, 1911, 271, 267, 476, 9610, 876, 267, 476, 4968, 271, 3910, 3097, 3546, 4994, 284, 9131, 1001, 280, 268, 4962, 268, 4905, 3299, 1412, 1001, 280, 268, 4962, 268, 6349, 3299, 1412, 1001, 280, 268, 4962, 268, 6734, 262, 7481, 2745, 263, 16557, 9239, 258, 769, 314, 1626, 28660, 454, 2745, 263, 16557, 9131, 1001, 280, 268, 4962, 268, 4905, 262, 8079, 1948, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 10563, 507, 368, 424, 504, 358, 910, 476, 276, 424, 505, 498, 476, 272, 14602, 376, 14091, 480, 510, 424, 356, 506, 10563, 510, 494, 424, 486, 502, 29030, 503, 499, 14602, 372, 454, 2745, 2891, 1366, 955, 268, 5602, 2745, 263, 16557, 9131, 1001, 280, 268, 4962, 268, 6349, 9166, 262, 1001, 280, 268, 4962, 268, 6734, 262, 8079, 1948, 476, 276, 424, 505, 498, 476, 273, 14602, 376, 267, 476, 274, 14602, 376, 14091, 480, 510, 424, 356, 506, 29030, 490, 478, 10563, 510, 494, 424, 486, 502, 29030, 503, 499, 14602, 372, 7531, 258, 769, 314, 1704, 28660, 454, 1721, 7329, 343, 538, 6060, 28827, 912, 825, 1820, 263, 30915, 9239, 258, 769, 314, 1240, 28660, 454, 1721, 1871, 538, 6060, 269, 11161, 912, 825, 1820, 263, 7407, 9239, 258, 12693, 14091, 495, 494, 29030, 490, 478, 14602, 502, 29030, 490, 478, 32510, 494, 424, 486, 502, 476, 17432, 358, 424, 480, 364, 17432, 368, 423, 367, 368, 422, 372, 364, 454, 258, 476, 2608, 21844, 372, 372, 423, 493, 503, 425, 490, 478, 14602, 502, 476, 274, 14602, 376, 32174, 482, 14602, 502, 10563, 510, 494, 424, 486, 502, 424, 503, 478, 547, 1729, 29030, 490, 478, 14602, 502, 476, 274, 14602, 376, 32174, 482, 14602, 502, 10563, 510, 494, 424, 486, 502, 692, 258, 769, 314, 866, 28660, 454, 5228, 21795, 1104, 10022, 7531, 258, 769, 314, 736, 28660, 454, 326, 843, 784, 815, 10022, 8443, 5611, 271, 267, 476, 4968, 271, 267, 476, 7742, 271, 16689, 567, 4994, 815, 18358, 1001, 280, 268, 4962, 268, 4905, 3299, 1412, 1001, 280, 268, 4962, 268, 6349, 3299, 1412, 1001, 280, 268, 4962, 268, 6734, 11172, 12467, 339, 9369, 815, 10022, 8443, 4968, 271, 267, 476, 4968, 271, 267, 476, 1220, 271, 16689, 567, 4994, 815, 18358, 1001, 280, 268, 4962, 268, 4905, 3299, 1412, 1001, 280, 268, 4962, 268, 6734, 3299, 1412, 1001, 280, 268, 4962, 268, 6349, 11172, 476, 9239, 258, 769, 314, 2641, 28660, 454, 326, 843, 784, 1341, 547, 1729, 7531, 258, 12693, 14091, 491, 364, 27338, 425, 482, 364, 29030, 498, 482, 423, 510, 486, 28990, 482, 14602, 502, 10563, 507, 368, 17432, 368, 692, 258, 2608, 14091, 491, 364, 27338, 425, 482, 364, 29030, 498, 482, 423, 510, 486, 28990, 482, 14602, 502, 21844, 364, 507, 424, 366, 368, 423, 354, 376, 10563, 481, 507, 424, 482, 365, 17432, 502, 32629, 498, 21844, 364, 478, 28990, 354, 21844, 364, 482, 21498, 357, 17432, 506, 14091, 364, 358, 423, 366, 499, 14602, 478, 14091, 498, 499, 424, 483, 498, 423, 482, 486, 423, 355, 361, 423, 354, 376, 10563, 507, 368, 424, 504, 358, 17432, 502, 32629, 498, 14091, 364, 358, 423, 366, 499, 454, 258, 2608, 14091, 491, 364, 27338, 425, 482, 364, 29030, 498, 482, 423, 510, 486, 28990, 482, 14602, 478, 10022, 14602, 502, 21844, 366, 364, 17432, 358, 424, 506, 376, 423, 350, 506, 10563, 507, 368, 423, 352, 357, 424, 500, 368, 424, 356, 482, 21844, 366, 481, 424, 506, 376, 423, 350, 506, 10563, 481, 507, 32174, 479, 17432, 510, 10563, 486, 502, 10563, 508, 486, 14602, 490, 563, 258, 2608, 17455, 553, 263, 425, 490, 494, 30319, 424, 488, 353, 264, 14602, 502, 14091, 490, 478, 425, 495, 506, 32510, 479, 14602, 372, 21844, 372, 364, 423, 367, 372, 10563, 508, 494, 423, 352, 490, 425, 502, 499, 27338, 30319, 563, 258, 2608, 4578, 20988, 476, 17432, 357, 424, 486, 502, 423, 354, 376, 10563, 507, 368, 424, 504, 358, 17432, 502, 29306, 361, 21844, 364, 507, 424, 366, 368, 10563, 481, 507, 424, 482, 365, 27338, 21844, 364, 478, 32629, 354, 17432, 502, 30319, 780, 258, 769, 314, 2420, 28660, 454, 5228, 21795, 1104, 4578, 20988, 7531, 258, 769, 314, 2537, 28660, 454, 323, 520, 815, 2715, 1412, 3712, 272, 262, 2433, 1496, 272, 267, 273, 267, 274, 267, 275, 16689, 1038, 1412, 3712, 273, 262, 2433, 1496, 1015, 267, 736, 267, 1789, 267, 2412, 16689, 1038, 1412, 3712, 274, 262, 2433, 18358, 288, 3299, 1412, 289, 3299, 1412, 290, 3299, 1412, 291, 11172, 7684, 454, 4206, 815, 4578, 20988, 5560, 520, 994, 4206, 7531, 258, 12693, 14091, 482, 353, 29030, 490, 478, 14602, 502, 476, 276, 14602, 376, 32174, 482, 14602, 502, 29030, 490, 478, 423, 367, 482, 10563, 510, 494, 424, 486, 502, 692, 258, 2608, 29030, 490, 478, 14602, 478, 547, 1729, 267, 575, 843, 784, 267, 11945, 267, 3032, 663, 27594, 29030, 490, 478, 27338, 30319, 780, 258, 769, 314, 2190, 28660, 454, 5228, 21795, 1104, 4578, 20988, 454, 974, 600, 23962, 815, 2715, 476, 834, 339, 9369, 9899, 314, 5611, 271, 267, 4968, 271, 267, 4335, 271, 267, 10384, 271, 267, 20862, 271, 16689, 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 ]
[ 0, 8080, 547, 18753, 5071, 585, 4317, 9012, 256, 5620, 596, 2479, 8068, 875, 3579, 930, 9708, 1413, 950, 596, 2811, 29957, 998, 707, 5172, 1514, 2923, 5867, 286, 9320, 789, 723, 3750, 2275, 10248, 2592, 267, 1187, 23935, 267, 610, 2189, 29282, 602, 10544, 707, 3007, 269, 8409, 3579, 9708, 941, 2693, 2813, 1210, 8642, 1374, 2553, 2439, 1103, 713, 1576, 267, 596, 786, 1451, 782, 827, 2870, 5863, 12449, 585, 1514, 2923, 269, 1284, 3513, 1376, 609, 519, 9238, 543, 960, 938, 1259, 909, 547, 811, 4359, 2035, 269, 1635, 519, 1439, 540, 713, 1576, 267, 596, 3513, 581, 2111, 547, 1711, 707, 1378, 15813, 12449, 547, 2671, 609, 2828, 543, 1920, 2439, 4131, 781, 2253, 609, 1620, 1018, 8642, 1374, 568, 269, 15439, 2322, 267, 621, 781, 519, 1148, 540, 9256, 1913, 267, 5961, 267, 543, 29282, 547, 5968, 11617, 269, 6056, 540, 621, 899, 9423, 998, 2592, 543, 1462, 2762, 630, 7474, 1797, 5022, 543, 1913, 1040, 1411, 1294, 8642, 1374, 10876, 1107, 593, 3915, 15236, 267, 27291, 267, 1587, 11183, 267, 543, 1256, 538, 2835, 543, 17476, 2439, 3086, 1577, 781, 2911, 827, 1946, 8642, 1374, 6927, 585, 1514, 2923, 269, 1879, 596, 2671, 1945, 593, 1514, 2923, 267, 596, 1616, 1004, 547, 5469, 621, 267, 1318, 286, 589, 1134, 27059, 8642, 666, 948, 707, 2022, 1796, 856, 1851, 519, 7366, 610, 5215, 540, 1866, 642, 3539, 585, 3007, 269, 9578, 267, 952, 707, 8642, 5654, 3318, 543, 25509, 267, 1004, 1522, 1491, 596, 811, 12517, 780, 3383, 267, 875, 798, 596, 2965, 1711, 891, 12449, 286, 4279, 2243, 256, 3689, 267, 596, 991, 547, 6430, 799, 2645, 547, 946, 269, 2368, 2442, 3681, 1331, 2052, 9366, 267, 23489, 27910, 267, 543, 22542, 6573, 630, 6518, 568, 1863, 32656, 1452, 3292, 2709, 17074, 543, 840, 13402, 6272, 602, 1118, 621, 2653, 547, 1205, 3323, 267, 1256, 952, 596, 1810, 1405, 2015, 3054, 7499, 780, 9202, 267, 1589, 827, 1018, 5048, 596, 1616, 547, 6655, 609, 707, 8642, 269, 3657, 596, 5009, 606, 2680, 286, 19457, 513, 10839, 286, 31209, 532, 513, 2014, 286, 4495, 596, 917, 707, 3804, 267, 3442, 4778, 267, 2592, 267, 543, 23935, 602, 1489, 602, 5048, 269, 1280, 1383, 267, 952, 596, 2811, 4687, 513, 30973, 10839, 267, 596, 1522, 946, 6505, 5835, 547, 2099, 1648, 543, 25273, 780, 7661, 267, 3314, 547, 1832, 1919, 2241, 543, 6896, 269, 18320, 1082, 2609, 16081, 4364, 883, 835, 2230, 666, 8267, 332, 13588, 269, 5502, 267, 1445, 593, 835, 1292, 2856, 829, 8642, 543, 6582, 3388, 28426, 269, 901, 786, 1118, 707, 1374, 4443, 547, 7558, 543, 811, 11791, 547, 1413, 693, 780, 2414, 9414, 891, 3741, 267, 4952, 596, 2811, 8888, 513, 16968, 585, 513, 27106, 9042, 547, 6318, 2724, 585, 513, 2199, 3662, 12062, 269, 1411, 1223, 1384, 272, 269, 7994, 2250, 601, 4778, 899, 11909, 267, 4544, 267, 543, 5835, 547, 18427, 4606, 540, 14246, 543, 8788, 563, 273, 269, 4855, 6337, 540, 20036, 2831, 610, 8949, 13000, 547, 6952, 1004, 781, 3007, 563, 274, 269, 8564, 513, 2312, 267, 1850, 1043, 13944, 585, 1271, 3877, 899, 4266, 267, 942, 267, 543, 4087, 563, 275, 269, 5901, 519, 11768, 2973, 543, 796, 743, 18636, 1229, 865, 1004, 666, 3533, 1265, 519, 1344, 789, 991, 563, 276, 269, 5410, 513, 1289, 3562, 268, 9146, 7735, 610, 8360, 8716, 1004, 547, 7390, 543, 1489, 519, 2014, 780, 3528, 1739, 891, 3268, 543, 8026, 1434, 8642, 1374, 3741, 267, 596, 3513, 1711, 513, 10875, 16968, 602, 12958, 10761, 543, 12651, 4656, 585, 519, 27106, 9042, 269, 1656, 945, 6487, 286, 2659, 1983, 949, 1256, 8300, 1866, 547, 2119, 741, 1688, 693, 8642, 1374, 1932, 2439, 9961, 713, 1576, 267, 649, 3513, 2263, 3606, 4388, 267, 15361, 267, 543, 1655, 2853, 585, 13215, 8642, 1374, 593, 1514, 2923, 269, 1924, 5066, 909, 707, 19492, 1407, 267, 3595, 909, 1346, 3860, 23238, 267, 543, 1205, 4712, 547, 7832, 593, 606, 3078, 3460, 4904, 609, 3308, 4898, 618, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 292, 2692, 5803, 324, 568, 513, 3406, 2599, 540, 552, 9248, 593, 519, 4950, 476, 275, 3333, 1563, 2923, 13933, 22850, 1749, 327, 732, 543, 1281, 711, 14202, 610, 4558, 1022, 6119, 593, 922, 7746, 269, 769, 713, 2022, 649, 557, 7396, 1524, 476, 277, 1863, 552, 9248, 267, 17476, 543, 17642, 788, 3639, 267, 1688, 2685, 13603, 1759, 593, 8560, 269, 14301, 689, 1010, 1995, 607, 513, 6037, 1807, 267, 585, 6135, 575, 6387, 2882, 538, 519, 1101, 267, 1379, 2685, 12461, 13519, 3296, 513, 4528, 540, 513, 6648, 676, 519, 23882, 25386, 10564, 588, 269, 2353, 18305, 616, 10483, 676, 12125, 540, 3486, 18415, 2867, 6698, 2653, 547, 1224, 543, 1174, 269, 2353, 12043, 2139, 585, 26099, 267, 5672, 267, 19545, 3988, 543, 824, 5985, 3457, 563, 12606, 7824, 17476, 543, 19545, 1863, 721, 320, 267, 20410, 267, 31065, 269, 9612, 938, 3193, 267, 26998, 6049, 1433, 676, 6049, 1297, 547, 1205, 519, 5411, 2012, 267, 2232, 267, 1514, 2923, 12632, 543, 811, 269, 1703, 616, 1114, 7270, 1141, 596, 666, 1569, 543, 4647, 552, 9248, 585, 1863, 269, 5131, 12139, 4647, 267, 596, 666, 4647, 1283, 12139, 2228, 593, 19545, 811, 269, 3367, 267, 4647, 267, 13712, 267, 3095, 267, 610, 14377, 513, 1433, 610, 12139, 269, 7186, 2409, 568, 513, 1820, 543, 522, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20877, 545, 5071, 585, 4317, 9012, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 3203, 1315, 22960, 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, 7170, 281, 589, 8836, 3828, 626, 540, 674, 622, 593, 3733, 8262, 4303, 692, 296, 993, 3478, 9310, 1985, 3923, 267, 543, 1250, 535, 1014, 322, 2946, 543, 594, 723, 1044, 4058, 938, 5326, 16806, 269, 1284, 4941, 547, 1118, 2386, 602, 938, 2027, 1554, 729, 711, 1152, 12300, 855, 849, 8537, 540, 1312, 938, 2686, 10080, 910, 1010, 1373, 7969, 543, 9553, 11114, 269, 1924, 267, 649, 4956, 547, 6451, 2609, 689, 1312, 4529, 883, 938, 16806, 16008, 269, 8528, 16729, 5796, 689, 1585, 2228, 15473, 267, 594, 1500, 2386, 547, 13599, 938, 14538, 6619, 540, 942, 676, 1519, 513, 4063, 538, 938, 1045, 14591, 7713, 519, 2189, 11100, 540, 5389, 789, 1131, 7198, 1282, 519, 11812, 269, 3776, 1982, 1256, 3769, 513, 5618, 6609, 540, 1142, 2688, 781, 4644, 267, 15691, 547, 6536, 1620, 543, 7071, 1851, 28752, 780, 4002, 519, 1554, 540, 519, 16806, 267, 3388, 8604, 3501, 1107, 2394, 519, 4090, 3357, 585, 721, 547, 8956, 1250, 11114, 6561, 609, 519, 2757, 533, 2801, 9346, 2131, 16008, 269, 4438, 713, 9161, 267, 519, 27379, 5713, 7401, 547, 519, 19081, 781, 3237, 607, 513, 3090, 540, 2463, 1247, 8391, 13344, 971, 607, 4829, 267, 14446, 267, 543, 2724, 538, 2132, 269, 1717, 267, 1175, 1354, 4358, 519, 7401, 7674, 267, 1250, 2104, 4651, 2987, 25237, 11542, 909, 543, 9307, 602, 646, 1185, 5423, 513, 9983, 585, 721, 780, 3891, 1287, 1572, 2390, 606, 2025, 3659, 267, 7247, 594, 786, 1289, 25414, 267, 945, 5949, 547, 581, 606, 12913, 22968, 22256, 269, 1677, 938, 22035, 7321, 267, 25414, 3459, 13465, 834, 302, 1924, 548, 631, 1470, 2437, 606, 11599, 3026, 777, 13457, 5152, 267, 1318, 972, 538, 519, 1647, 540, 938, 11114, 16654, 16008, 256, 2311, 1101, 267, 594, 729, 3144, 705, 871, 676, 713, 6727, 22576, 689, 2245, 267, 855, 4166, 2614, 267, 17409, 4904, 519, 4055, 267, 4553, 676, 3365, 1021, 269, 898, 5828, 856, 602, 1082, 540, 1250, 535, 1014, 322, 2946, 781, 14077, 941, 23153, 2206, 619, 2933, 267, 2348, 6738, 909, 538, 513, 2146, 1141, 2575, 5129, 513, 1713, 1909, 538, 741, 2729, 780, 1607, 6397, 2490, 540, 2621, 4547, 3025, 1927, 267, 10489, 2056, 1022, 3355, 26101, 1145, 610, 14542, 640, 609, 519, 4914, 9821, 269, 2871, 3949, 14952, 539, 693, 875, 18991, 1079, 1114, 4529, 1223, 18595, 710, 267, 2870, 1945, 19918, 4190, 543, 2295, 342, 9879, 269, 4634, 1250, 1378, 15061, 11114, 14077, 7948, 1405, 12404, 741, 1159, 3796, 607, 789, 14478, 519, 7772, 748, 4715, 12386, 11200, 1354, 873, 780, 28885, 2686, 5389, 883, 938, 16806, 16008, 711, 1152, 2968, 513, 1797, 540, 9878, 4630, 720, 547, 938, 5072, 855, 849, 6039, 607, 513, 8115, 8220, 938, 3885, 543, 2828, 269, 1635, 5329, 1919, 16614, 2943, 1930, 547, 21245, 26208, 267, 649, 7307, 547, 1711, 513, 19644, 3965, 602, 786, 11014, 2611, 31960, 538, 938, 12271, 269, 1656, 865, 267, 1018, 7620, 5433, 899, 513, 18447, 4305, 9927, 883, 835, 540, 519, 1034, 17175, 8090, 540, 938, 2462, 1554, 1107, 782, 7064, 547, 513, 2370, 3787, 540, 2069, 267, 8112, 267, 543, 8508, 1272, 781, 20437, 23538, 543, 7140, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 22081, 666, 594, 6451, 2686, 5389, 883, 1250, 16806, 16008, 1510, 1055, 2056, 14538, 888, 2080, 616, 930, 4388, 547, 6451, 2686, 5389, 883, 707, 16806, 16008, 1510, 1055, 2056, 14538, 1384, 272, 269, 3447, 622, 707, 14538, 281, 2913, 707, 14538, 917, 538, 4434, 827, 519, 2686, 5389, 596, 1544, 547, 6451, 269, 3629, 873, 609, 513, 5618, 7778, 540, 519, 4644, 540, 519, 5389, 547, 2057, 10539, 610, 25213, 780, 273, 269, 5901, 621, 16614, 281, 1879, 6220, 2686, 5389, 267, 2327, 596, 798, 865, 31635, 269, 3680, 32616, 673, 610, 20025, 11269, 540, 4529, 780, 274, 269, 5269, 621, 18593, 281, 6333, 1818, 519, 2686, 5389, 18593, 585, 14538, 547, 7119, 538, 269, 901, 1259, 267, 14538, 945, 798, 711, 1745, 6899, 666, 1904, 13050, 1510, 4743, 2604, 323, 780, 275, 269, 11512, 519, 5389, 281, 6333, 6220, 606, 7778, 540, 519, 2686, 5389, 538, 519, 16806, 16008, 547, 948, 14538, 1174, 543, 5660, 519, 9821, 1732, 780, 276, 269, 12833, 9876, 1920, 2818, 281, 1403, 2009, 267, 4125, 1920, 544, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 519, 1686, 540, 519, 2136, 2276, 2496, 7692, 281, 23010, 267, 594, 917, 930, 8631, 269, 898, 781, 827, 1004, 945, 5030, 972, 513, 1279, 942, 3516, 543, 5280, 1118, 519, 2197, 1018, 621, 568, 2221, 269, 6145, 6723, 6115, 267, 1318, 2496, 8334, 281, 22549, 256, 1656, 798, 596, 917, 945, 2098, 778, 776, 13177, 729, 286, 1261, 729, 519, 476, 1321, 628, 7022, 540, 519, 2136, 2276, 780, 7692, 281, 7937, 267, 594, 1589, 594, 3314, 6217, 602, 2012, 12341, 269, 12984, 333, 1405, 646, 835, 540, 1346, 27504, 945, 1705, 1945, 1271, 585, 519, 2197, 2496, 8334, 281, 8786, 267, 8197, 256, 1809, 972, 781, 811, 547, 1864, 982, 1175, 1373, 513, 7022, 269, 1411, 1294, 267, 1010, 1272, 11414, 721, 3407, 4245, 827, 8990, 543, 2182, 960, 269, 4634, 950, 5185, 609, 7965, 267, 646, 2760, 5795, 909, 593, 1010, 9909, 585, 519, 4182, 780, 7692, 281, 2334, 4992, 3579, 256, 1548, 2186, 540, 2042, 1705, 646, 3068, 2496, 8334, 281, 4270, 267, 1394, 1287, 267, 519, 2475, 729, 1869, 7168, 1007, 543, 1185, 1082, 2591, 547, 7753, 269, 4658, 899, 2098, 778, 776, 13177, 5249, 2731, 2182, 547, 948, 519, 2197, 1332, 543, 10653, 5103, 782, 519, 9465, 789, 11402, 2059, 519, 1259, 780, 7692, 281, 1924, 267, 952, 649, 1616, 547, 581, 899, 2098, 778, 776, 13177, 267, 649, 991, 547, 1832, 3843, 938, 1655, 1256, 950, 1919, 1205, 9157, 267, 26001, 2496, 8334, 281, 25999, 267, 7585, 256, 3807, 899, 875, 646, 7283, 8149, 547, 1010, 3853, 267, 649, 1932, 666, 1451, 547, 3251, 5059, 543, 10770, 1100 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28772, 6048, 25909, 623, 822, 21754, 267, 8106, 14555, 568, 513, 1565, 1184, 602, 4386, 998, 12205, 1063, 606, 2825, 17003, 543, 513, 6923, 9648, 17003, 269, 1863, 1557, 593, 18190, 16448, 532, 543, 17325, 1049, 3267, 898, 568, 519, 2278, 781, 9837, 267, 1369, 519, 1560, 540, 713, 1557, 547, 4983, 543, 6218, 519, 3069, 540, 1565, 689, 513, 7180, 626, 21169, 267, 2519, 593, 8106, 14555, 543, 519, 1514, 1565, 3069, 267, 23622, 593, 22423, 1565, 269, 18190, 16448, 532, 1923, 15439, 10017, 18190, 16448, 532, 538, 519, 15858, 269, 634, 6286, 540, 8106, 14555, 538, 519, 4928, 616, 1447, 1271, 982, 1346, 540, 1766, 656, 14555, 267, 855, 972, 568, 513, 1869, 991, 585, 3610, 547, 2119, 547, 1118, 2386, 602, 1053, 12314, 2318, 3929, 2833, 609, 1565, 563, 12218, 673, 14555, 25221, 602, 676, 14578, 30010, 513, 8404, 958, 1713, 17003, 630, 7945, 607, 1426, 264, 609, 513, 1880, 5365, 630, 7945, 607, 513, 30366, 11350, 264, 786, 1267, 538, 513, 31411, 3210, 950, 519, 5365, 568, 11402, 630, 1492, 11350, 14034, 538, 9000, 540, 1426, 1916, 12218, 673, 14555, 4061, 6645, 721, 602, 519, 3075, 13982, 781, 15639, 2589, 666, 1459, 2933, 1510, 519, 4890, 4527, 267, 610, 7872, 540, 2921, 519, 3075, 269, 5403, 619, 5627, 1612, 777, 615, 2522, 807, 267, 610, 1256, 5961, 540, 5061, 666, 20006, 513, 31411, 3210, 540, 519, 15639, 6127, 269, 21824, 540, 674, 2391, 543, 18190, 16448, 532, 7869, 10749, 3267, 4250, 540, 10760, 543, 8106, 14555, 3069, 3594, 9236, 519, 21494, 538, 519, 23009, 2670, 543, 1439, 18524, 1557, 12456, 517, 2462, 10273, 4815, 543, 649, 1058, 5957, 27890, 1169, 3368, 606, 5662, 27669, 3855, 1010, 688, 31227, 610, 4250, 540, 10760, 543, 8106, 14555, 3069, 3594, 751, 1162, 1102, 2716, 1043, 569, 269, 18190, 16448, 532, 281, 513, 2596, 1106, 540, 1565, 269, 18190, 16448, 532, 281, 513, 2596, 1106, 540, 1565, 269, 18190, 14555, 568, 875, 649, 1451, 547, 12314, 513, 9243, 17003, 630, 3697, 513, 3280, 267, 610, 513, 1769, 264, 609, 513, 12343, 269, 18190, 14555, 1797, 834, 21353, 545, 1565, 2668, 2334, 781, 621, 269, 898, 781, 835, 540, 519, 14724, 2081, 5243, 630, 663, 782, 2831, 264, 1451, 563, 12218, 673, 16448, 532, 3594, 454, 12218, 673, 14555, 1557, 269, 1215, 547, 2328, 513, 943, 323, 3932, 4258, 777, 1299, 5494, 870, 269, 11352, 1603, 1957, 18190, 14555, 10749, 543, 3194, 14430, 1923, 5530, 300, 1712, 2507, 4855, 3594, 543, 1382, 4574, 593, 18190, 14555, 693, 5530, 300, 1712, 2593, 269, 1284, 4312, 5280, 6634, 540, 1053, 2094, 476, 1960, 280, 269, 15012, 519, 1158, 781, 4102, 1353, 2146, 563, 12218, 673, 16448, 532, 4828, 1923, 19258, 548, 2421, 18190, 1656, 19639, 11365, 16448, 532, 1656, 18190, 16448, 532, 4828, 476, 10441, 280, 9293, 1923, 476, 276, 9664, 769, 1931, 547, 20272, 8106, 543, 15747, 14555, 267, 621, 568, 2838, 547, 1101, 5581, 519, 1543, 689, 799, 789, 616, 6508, 689, 267, 602, 568, 1565, 269, 4828, 593, 18190, 16448, 532, 910, 476, 11820, 275, 9293, 1923, 595, 1090, 4828, 18190, 25966, 269, 18190, 16448, 532, 269, 7726, 1948, 272, 281, 18190, 16448, 532, 18190, 16448, 532, 568, 634, 1184, 676, 799, 513, 5892, 9243, 17003, 4203, 2231, 519, 4390, 547, 29360, 513, 3210, 998, 7681, 609, 513, 17003, 602, 2907, 19310, 1080, 513, 2147, 3210, 630, 310, 1228, 476, 23470, 1040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 321, 269, 634, 3760, 2488, 513, 2631, 540, 3354, 267, 6616, 602, 519, 3756, 616, 1312, 1187, 543, 3872, 563, 273, 269, 11819, 7736, 16017, 618, 454, 320, 269, 11334, 723, 11368, 15346, 4569, 10632, 883, 741, 13460, 607, 24045, 2645, 547, 12927, 2979, 2035, 563, 321, 269, 634, 3756, 8597, 547, 1585, 1565, 6163, 267, 1818, 873, 513, 3407, 4199, 538, 3309, 13460, 563, 309, 269, 634, 15346, 4569, 10632, 7991, 454, 19741, 11080, 267, 15346, 4569, 10632, 814, 27838, 513, 14762, 2228, 2146, 269, 24812, 666, 2671, 2994, 267, 1865, 3014, 10311, 267, 543, 1256, 1711, 10178, 1148, 269, 901, 2631, 540, 10362, 8591, 1776, 4494, 540, 9029, 547, 519, 3760, 563, 9654, 269, 16353, 29456, 454, 290, 944, 4569, 10632, 3884, 1406, 3908, 547, 11380, 339, 3591, 282, 621, 779, 2139, 593, 5985, 3457, 1932, 269, 901, 10333, 5849, 602, 1565, 543, 9913, 616, 2141, 1175, 513, 7148, 2476, 563, 23997, 269, 634, 8892, 540, 15346, 4569, 10632, 454, 2026, 2029, 5170, 547, 4434, 267, 15346, 4569, 10632, 666, 1152, 1332, 543, 4228, 269, 2060, 519, 2810, 2956, 540, 13241, 2069, 267, 5867, 899, 18328, 294, 616, 2693, 547, 1831, 1256, 811, 2629, 538, 11121, 519, 1985, 5108, 540, 22697, 267, 8030, 267, 543, 1966, 1151, 951, 563, 290, 944, 4569, 10632, 723, 2097, 513, 1279, 1259, 689, 741, 18803, 20297, 607, 513, 2979, 7266, 878, 3896, 269, 4653, 267, 789, 2709, 513, 3309, 5044, 540, 3756, 602, 7038, 543, 13599, 5716, 540, 782, 6502, 269, 3245, 17923, 6310, 2035, 547, 7393, 1966, 9010, 1983, 267, 891, 3756, 723, 8810, 547, 581, 606, 17170, 4199, 585, 3237, 543, 7855, 269, 1306, 649, 1413, 547, 519, 2104, 267, 15346, 4569, 10632, 786, 2693, 2611, 693, 519, 21282, 540, 3872, 11080, 267, 11173, 547, 1118, 2979, 3579, 585, 5481, 547, 2097, 563, 3383, 267, 2436, 596, 2461, 513, 2875, 3168, 585, 513, 1187, 1259, 547, 11453, 909, 593, 2979, 1983, 610, 513, 2385, 5275, 606, 2502, 3872, 3760, 585, 707, 1126, 267, 15346, 4569, 10632, 568, 17216, 513, 14951, 7708, 557, 540, 1565, 543, 9913, 269, 667, 633, 538, 543, 1577, 519, 3756, 2253, 0, 2690, 1082, 1004, 267, 2324, 609, 2831, 568, 513, 5326, 2097, 3020, 269, 6787, 621, 779, 12391, 585, 2831, 538, 513, 23291, 267, 2324, 607, 513, 16943, 267, 610, 2866, 3391, 5243, 267, 2324, 609, 2831, 666, 581, 11212, 14785, 543, 16180, 269, 12989, 616, 5722, 4128, 1946, 2324, 609, 2831, 2337, 1004, 798, 1018, 789, 2648, 563, 258, 272, 1765, 17809, 1938, 513, 2631, 540, 3483, 563, 3080, 540, 519, 1034, 1713, 2640, 540, 2324, 609, 2831, 568, 519, 2631, 540, 3483, 621, 2488, 269, 4658, 945, 960, 609, 2831, 1419, 1745, 513, 2178, 2631, 540, 5539, 547, 1416, 585, 543, 2149, 519, 2831, 789, 960, 609, 269, 901, 666, 1683, 513, 2620, 2631, 540, 2495, 543, 3483, 538, 741, 2729, 269, 18833, 602, 789, 616, 1818, 513, 2318, 3017, 538, 519, 2729, 540, 2831, 666, 581, 11212, 14785, 543, 16180, 563, 258, 273, 1765, 23220, 4925, 513, 2635, 6197, 563, 22998, 609, 2831, 1419, 3322, 2168, 2534, 267, 971, 607, 6972, 5243, 267, 7738, 588, 8712, 267, 543, 8023, 2831, 269, 901, 666, 3895, 513, 2635, 543, 3742, 6197, 267, 799, 666, 723, 3875, 2640, 585, 2949, 1072, 543, 1134, 5630, 269, 8617, 3635, 568, 1898, 585, 4509, 1434, 2168, 543, 2790, 1072, 267, 543, 2324, 609, 2831, 2488, 513, 1187, 543, 11791, 1259, 547, 3251, 3742, 563, 258, 274, 1765, 19423, 619, 513, 3860, 17752, 563, 22998, 609, 2831, 849, 3091, 513, 3860, 17752, 585, 1004, 945, 2972, 1373, 3860, 269, 1280, 1383, 267, 3662, 30157, 1419, 1020, 3860, 2866, 2553, 547, 4001, 2831, 1007, 5615, 267, 1247, 7320, 21706, 946, 741, 1983, 547, 7001, 10875, 2592, 540, 2831, 538, 741, 2067, 9249, 269, 11554, 609, 2831, 666, 581, 606, 5140, 1259, 585, 3860, 2043, 547, 2769, 2933, 543, 13686, 741, 15421, 563, 258, 275, 1765, 293, 739, 619, 513, 2631, 540, 8296, 563, 10144, 945, 960, 609, 2831, 1419, 1020, 513, 2178, 2631, 540, 8296, 543, 6568, 585, 2831, 269, 1358, 1451, 547, 1174, 543, 5660, 519, 2115, 543, 5615, 540, 2831, 543, 960, 547, 1683, 519, 1655, 2009, 1416, 585, 873, 269, 901, 2631, 540, 8296, 666, 8831, 3564, 2831, 543, 883, 824, 2127, 540, 741, 2729, 267, 1818, 873, 811, 17519, 543, 28450, 2043, 563, 258, 276, 1765, 19423, 619, 513, 2631, 540, 2146, 563, 22998, 609, 2831, 666, 849, 1683, 513, 2631, 540, 2146, 585, 1004, 945, 2671, 513, 2648, 540, 2831, 269, 6787, 621, 779, 2324, 609, 824, 5234, 2818, 693, 513, 23291, 610, 18915, 16758, 267, 24749, 693, 606, 3662, 12062, 267, 610, 10283, 538, 3662, 5829, 2621, 267, 1004, 945, 960, 609, 2831, 1419, 1265, 2933, 11303, 676, 899, 16490, 2043, 945, 2671, 741, 6612, 585, 2831, 563, 258, 277, 1765, 19423, 619, 513, 2647, 2039, 540, 4876, 3255, 563, 22998, 609, 2831, 3091, 513, 2647, 2039, 540, 4876, 3255, 267, 689, 2324, 607, 513, 23291, 24010, 610, 3662, 26519, 547, 4742, 513, 16943, 610, 3662, 2623, 626, 269, 901, 1797, 602, 1004, 945, 616, 13730, 827, 2831, 723, 1082, 1114, 10092, 789, 666, 11654, 267, 4470, 593, 741, 4690, 543, 1983, 269, 901, 4763, 540, 4876, 3255, 666, 1118, 621, 4443, 585, 1004, 547, 1265, 513, 2816, 789, 2648, 543, 1745, 24009, 538, 563, 258, 278, 1765, 17809, 1938, 513, 2631, 540, 22920, 563, 7661, 267, 2324, 609, 2831, 666, 1683, 513, 2631, 540, 22920, 585, 1004, 945, 2972, 1818, 513, 3017, 269, 6787, 621, 779, 4543, 606, 13676, 3662, 9156, 610, 2866, 513, 3391, 2915, 547, 4217, 2576, 609, 513, 9659, 267, 2324, 609, 2831, 3091, 3875, 3255, 547, 1118, 513, 2318, 1764, 593, 519, 2729, 540, 2831, 543, 1004, 269, 901, 666, 581, 11212, 17598, 543, 16180, 267, 3246, 513, 2631, 540, 22920, 602, 666, 581, 2182, 547, 1265, 538, 824, 11678, 563, 22998, 609, 2831, 3091, 1082, 2640, 585, 1004, 945, 2648, 2831, 269, 898, 2488, 513, 2631, 540, 3483, 267, 8992, 513, 2635, 6197, 267, 3091, 513, 3860, 17752, 267, 11942, 513, 2631, 540, 8296, 267, 3091, 513, 2631, 540, 2146, 267, 3091, 513, 2647, 2039, 540, 4876, 3255, 267, 543, 2488, 513, 2631, 540, 22920, 269, 6787, 596, 2461, 5461, 538, 2324, 609, 7320, 267, 6469, 2831, 267, 610, 16678, 2831, 267, 972, 616, 1082, 1114, 4876, 10092, 547, 2263, 269, 1403, 596, 2648, 2831, 267, 2324, 609, 873, 666, 581, 606, 11212, 16180, 543, 14785, 1995, 563, 1692, 22868, 2060, 12292, 666, 948, 596, 798, 1018, 596, 2648, 454, 763, 22868, 609, 12292, 3896, 568, 606, 5140, 4199, 585, 1004, 945, 616, 13730, 827, 2831, 543, 1616, 547, 11654, 513, 4876, 538, 519, 3662, 2872, 269, 901, 3896, 2488, 513, 5763, 540, 1344, 827, 1114, 2010, 540, 3662, 5829, 6009, 267, 1519, 2816, 11673, 267, 14057, 9832, 267, 543, 3872, 4170, 269, 3371, 2947, 2081, 538, 799, 519, 22868, 609, 12292, 3896, 666, 948, 1004, 798, 1018, 789, 2648, 912, 258, 272, 1765, 17809, 1938, 1569, 547, 2816, 1592, 902, 563, 3080, 540, 519, 1034, 1713, 2640, 540, 519, 22868, 609, 12292, 3896, 568, 602, 621, 2488, 1569, 547, 513, 2647, 2039, 540, 2816, 1592, 902, 538, 519, 3662, 2872, 269, 16763, 32339, 666, 3406, 585, 6009, 1759, 593, 4087, 267, 2816, 1826, 267, 543, 2816, 2140, 267, 1818, 621, 4443, 547, 1265, 2816, 3255, 602, 6474, 741, 4690, 543, 20340, 269, 901, 666, 581, 11212, 5363, 585, 1004, 945, 616, 1175, 4358, 741, 2816, 3406, 610, 585, 1346, 945, 616, 3168, 547, 5912, 883, 513, 1114, 1858, 540, 519, 3662, 2872, 563, 258, 273, 1765, 19423, 619, 1344, 827, 1114, 2010, 540, 3662, 5829, 6009, 563, 763, 22868, 609, 12292, 3896, 849, 2488, 1344, 827, 1114, 2010, 540, 3662, 5829, 6009, 267, 1519, 2816, 11673, 267, 14057, 9832, 267, 543, 3872, 4170, 269, 901, 666, 581, 5363, 585, 1004, 945, 616, 3695, 1114, 4876, 3681, 543, 1616, 547, 1451, 811, 827, 519, 9021, 543, 4170, 540, 1114, 2010, 540, 6009, 269, 1635, 3246, 713, 1344, 267, 519, 22868, 609, 12292, 3896, 666, 948, 2816, 32339, 1118, 811, 5483, 3664, 827, 741, 4876, 10092, 563, 258, 274, 1765, 13900, 1186, 2816, 32339, 5965, 585, 2816, 11042, 563, 27609, 532, 585, 513, 2816, 5967, 666, 581, 513, 18447, 4305, 267, 855, 519, 22868, 609, 12292, 3896, 666, 948, 2816, 32339, 5965, 676, 3246, 4388, 543, 5796, 593, 875, 547, 513, 576, 513, 2816, 5967, 269, 901, 2882, 1344, 593, 875, 547, 10571, 585, 513, 2816, 5967, 267, 875, 547, 2626, 1455, 5967, 2055, 267, 543, 875, 547, 1246, 909, 1310, 606, 5967, 269, 1635, 3246, 713, 1344, 267, 519, 22868, 609, 12292, 3896, 666, 948, 2816, 32339, 1745, 811, 8746, 543, 5423, 950, 789, 979, 883, 513, 2816, 5967, 563, 258, 275, 1765, 17809, 1938, 3872, 2200, 563, 763, 22868, 609, 12292, 3896, 849, 2488, 3872, 2200, 585, 1004, 945, 616, 5461, 538, 13197, 513, 4876, 538, 519, 3662, 2872, 269, 901, 2882, 1344, 827, 4110, 3292, 267, 24501, 267, 543, 2866, 3292, 602, 666, 948, 2816, 32339, 1020, 519, 1983, 543, 1702, 789, 991, 547, 8011, 538, 741, 6074, 2361, 269, 1635, 3246, 891, 2200, 267, 519, 22868, 609, 12292, 3896, 666, 948, 2816, 32339, 1491, 519, 2556, 3268, 547, 4434, 741, 11678, 543, 3035, 741, 3318, 3853, 563, 258, 276, 1765, 17809, 1938, 4876, 5796, 543, 1489, 563, 7661, 267, 519, 22868, 609, 12292, 3896, 2488, 4876, 5796, 543, 1489, 585, 2816, 32339, 538, 519, 3662, 2872, 269, 901, 2882, 1344, 593, 875, 547, 1020, 513, 2178, 16056, 543, 3382, 4484, 267, 875, 547, 21907, 513, 14057, 267, 543, 875, 547, 6330, 519, 2816, 2344, 269, 1635, 3246, 713, 1344, 267, 519, 22868, 609, 12292, 3896, 666, 948, 2816, 32339, 1745, 811, 8746, 543, 23518, 607, 789, 11654, 741, 4876, 3853, 563, 763, 22868, 609, 12292, 3896, 666, 581, 606, 17170, 4199, 585, 1004, 945, 616, 13730, 827, 2831, 543, 1616, 547, 11654, 513, 4876, 538, 519, 3662, 2872, 269, 1635, 3246, 1569, 547, 2816, 1592, 902, 267, 1344, 827, 1114, 2010, 540, 3662, 5829, 6009, 267, 3872, 2200, 267, 13033, 3255, 267, 543, 4876, 5796, 543, 1489, 267, 519, 22868, 609, 12292, 3896, 666, 948, 2816, 32339, 798, 1018, 789, 2648, 543, 3035, 741, 3318, 3853, 538, 519, 3662, 2872, 269, 0, 12709, 1144, 11429, 15580, 281, 634, 6871, 540, 8027, 4559, 13026, 676, 519, 8227, 540, 519, 1770, 454, 305, 10938, 15580, 281, 634, 6871, 540, 8027, 4559, 945, 616, 13026, 676, 2576, 945, 568, 711, 519, 8227, 540, 519, 1770, 454, 13563, 7991, 11752, 630, 3722, 306, 1070, 476, 276, 4458, 9193, 267, 7305, 645, 7742, 6734, 454, 1001, 271, 267, 476, 1001, 272, 267, 476, 1001, 273, 267, 476, 1001, 274, 267, 476, 1001, 275, 267, 476, 1001, 276, 267, 476, 1001, 277, 267, 476, 1001, 278, 267, 476, 1001, 279, 267, 476, 1001, 280, 267, 476, 1708, 271, 267, 476, 1708, 272, 454, 265, 9616, 281, 3962, 1032, 540, 2139, 1239, 3254, 1657, 568, 513, 476, 276, 4458, 7447, 267, 610, 606, 3328, 540, 1239, 6394, 936, 513, 2947, 1032, 1974, 269, 476, 276, 4458, 9193, 616, 1031, 547, 2333, 519, 10727, 540, 519, 1239, 693, 1507, 2520, 13132, 899, 16973, 543, 14829, 8778, 338, 269, 634, 1296, 3254, 593, 519, 715, 9169, 290, 4786, 2099, 519, 3803, 1032, 540, 519, 2947, 1032, 3328, 630, 324, 3052, 269, 968, 1001, 271, 892, 4564, 476, 1220, 277, 268, 1001, 271, 1239, 267, 968, 1001, 272, 892, 4564, 476, 1220, 278, 268, 1001, 272, 1239, 267, 543, 865, 593, 1040, 1280, 519, 1034, 26374, 6476, 540, 1239, 936, 942, 267, 519, 589, 5425, 15565, 9236, 1875, 27492, 331, 6260, 1296, 630, 324, 3052, 269, 476, 1001, 271, 268, 1691, 609, 476, 1001, 276, 268, 866, 1916, 3963, 616, 891, 4632, 1271, 547, 2268, 888, 302, 342, 940, 513, 1753, 814, 1279, 1044, 2808, 606, 1271, 24182, 267, 607, 621, 4564, 513, 1900, 4724, 1279, 3856, 2883, 6617, 269, 898, 3091, 2640, 547, 519, 8378, 267, 607, 1134, 281, 21427, 1847, 1447, 4749, 543, 4043, 547, 581, 7722, 538, 741, 2146, 543, 922, 5238, 267, 971, 607, 3506, 543, 4213, 269, 5221, 789, 616, 20019, 543, 13948, 16539, 538, 519, 8378, 267, 21427, 1419, 1491, 1719, 538, 2199, 6454, 7341, 563, 24309 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 873, 269, 1306, 693, 824, 2053, 513, 4158, 6531, 786, 21372, 519, 1769, 267, 865, 1934, 519, 7920, 21386, 540, 519, 6531, 540, 18710, 12042, 1229, 741, 5075, 282, 1480, 4064, 616, 711, 2178, 2614, 547, 22036, 519, 1769, 689, 519, 17599, 540, 13140, 269, 3371, 729, 519, 6531, 540, 519, 1715, 11620, 8720, 1312, 4400, 623, 1845, 339, 543, 26749, 540, 519, 1715, 595, 19879, 267, 31519, 476, 2412, 281, 2190, 269, 634, 20785, 1185, 693, 2547, 267, 909, 547, 602, 4090, 267, 1044, 2111, 547, 7747, 513, 1906, 1919, 267, 1498, 741, 5075, 1185, 711, 1044, 1360, 2312, 267, 855, 693, 713, 6172, 1314, 789, 616, 7753, 269, 1280, 519, 5639, 540, 519, 12429, 579, 1777, 1229, 257, 3592, 519, 1482, 1913, 607, 693, 519, 29080, 540, 4906, 281, 901, 568, 3733, 12312, 267, 519, 5617, 3437, 2290, 267, 538, 7247, 568, 3733, 10508, 269, 898, 729, 513, 1034, 32444, 1140, 652, 566, 540, 4906, 607, 519, 31050, 543, 12312, 540, 2696, 267, 30758, 547, 16173, 883, 741, 12271, 543, 8186, 11014, 269, 13924, 789, 1058, 5873, 267, 547, 13924, 267, 538, 3571, 6478, 267, 789, 1058, 11904, 796, 23896, 539, 24150, 269, 634, 942, 540, 519, 12081, 540, 519, 4521, 267, 607, 6719, 538, 15584, 267, 543, 519, 942, 540, 6071, 28897, 267, 607, 6719, 538, 18379, 26400, 267, 729, 2250, 282, 11419, 543, 5168, 267, 519, 20227, 267, 519, 20227, 18710, 267, 723, 2097, 538, 543, 609, 4906, 2441, 269, 3143, 991, 547, 1413, 585, 2417, 22649, 543, 11240, 725, 282, 649, 723, 519, 6478, 540, 4906, 267, 519, 6478, 540, 20778, 563, 763, 3932, 540, 519, 7613, 912, 341, 269, 476, 277, 269, 1656, 950, 519, 20785, 4862, 621, 267, 789, 8593, 593, 741, 3068, 543, 941, 15319, 12922, 563, 341, 269, 476, 278, 269, 1656, 4906, 3357, 543, 20109, 873, 267, 543, 1767, 267, 1488, 1047, 267, 543, 581, 711, 12922, 563, 341, 269, 476, 279, 269, 1656, 950, 789, 1185, 24850, 909, 741, 4064, 267, 789, 4718, 1100, 812, 4688, 4906, 1152, 563, 763, 10143, 5639, 267, 519, 5639, 540, 519, 6986, 543, 1175, 2696, 267, 729, 1932, 1454, 585, 519, 4057, 267, 5609, 995, 6180, 1023, 267, 945, 267, 607, 1279, 607, 789, 616, 8052, 1117, 609, 713, 3618, 569, 1560, 267, 3112, 1796, 538, 3571, 8289, 269, 769, 519, 8515, 540, 741, 9810, 789, 8593, 547, 519, 2666, 2390, 741, 8188, 547, 12404, 2933, 1354, 13924, 4171, 4064, 616, 899, 26428, 540, 3595, 269, 4906, 267, 2479, 2186, 267, 9543, 267, 543, 25091, 267, 22283, 4464, 269, 769, 3571, 5905, 729, 513, 1158, 540, 1620, 543, 1750, 1359, 22059, 269, 1261, 24016, 873, 547, 8451, 543, 5641, 11735, 741, 12194, 269, 4935, 22541, 267, 789, 3576, 10100, 547, 12740, 909, 741, 4064, 267, 543, 4718, 1100, 835, 855, 1152, 4906, 267, 607, 789, 1185, 1634, 13924, 585, 1896, 1296, 267, 538, 3571, 5449, 5920, 267, 538, 519, 1106, 540, 3571, 1483, 1560, 267, 609, 1100, 7298, 4191, 540, 519, 18710, 799, 1185, 1175, 1044, 28955, 538, 13924, 269, 589, 5075, 865, 1390, 543, 8748, 568, 711, 1631, 642, 13224, 338, 2378, 539, 547, 2367, 282, 855, 972, 568, 835, 1259, 538, 799, 782, 949, 1294, 4906, 267, 12077, 267, 538, 3571, 20227, 267, 1141, 649, 1312, 5873, 13924, 3717, 543, 1294, 3571, 18710, 269, 1656, 7487, 267, 649, 4927, 3494, 267, 3627, 476, 277, 281, 2412, 563, 341, 269, 476, 280, 269, 1656, 607, 789, 3357, 1524, 689, 519, 7823, 267, 4906, 9901, 873, 267, 6031, 267, 15681, 519, 5075, 547, 1100, 812, 2394, 519, 12312, 540, 2494, 581, 24111, 1586, 689, 519, 4666, 563, 4002, 519, 1259, 1524, 267, 1247, 789, 941, 1869, 4904, 609, 519, 30493, 540, 519, 23314, 267, 1261, 5795, 873, 713, 900, 874, 1738, 3614, 4233, 269, 1677, 15476, 1018, 789, 1185, 2938, 267, 693, 713, 942, 267, 1131, 1152, 1267, 538, 12042, 1359, 519, 960, 540, 3571, 18591, 543, 3976, 540, 519, 20227, 269, 834, 2026, 713, 13816, 580, 4851, 729, 5497, 547, 1397, 8521, 519, 3803, 20552, 540, 519, 2898, 30060, 1876, 267, 621, 729, 2556, 602, 513, 2339, 799, 1223, 711, 3111, 547, 8886, 622, 519, 6014, 17710, 543, 1004, 1058, 581, 6854, 5728, 267, 11489, 4906, 1185, 12913, 5075, 543, 28897, 676, 3571, 2669, 543, 24446, 4799, 763, 2243, 540, 519, 20785, 912, 341, 269, 476, 1015, 269, 1656, 3571, 20785, 4280, 13924, 267, 6031, 267, 4208, 267, 1287, 267, 2161, 519, 31163, 525, 602, 18379, 553, 1590, 1101, 2097, 888, 341, 269, 476, 1556, 269, 1656, 4906, 12943, 543, 1767, 21349, 873, 267, 18379, 553, 267, 5963, 267, 4927, 1101, 2097, 267, 543, 11177, 782, 1919, 563, 341, 269, 476, 1321, 269, 1809, 594, 2161, 21349, 596, 267, 2334, 18379, 553, 568, 2097, 2907, 267, 543, 789, 6785, 1864, 711, 267, 855, 723, 2944, 21349, 1864, 31049, 789, 7396, 269, 19452, 4927, 849, 519, 12312, 540, 2494, 7985, 540, 873, 563, 341, 269, 476, 1724, 269, 3973, 519, 20785, 6956, 602, 1261, 838, 820, 21349, 873, 540, 3627, 519, 23837, 563, 763, 1249, 602, 789, 1185, 2938, 519, 22445, 18379, 26400, 538, 519, 5075, 593, 519, 7823, 27416, 547, 741, 8186, 519, 6031, 540, 519, 31163, 525, 267, 4440, 1759, 593, 5689, 25764, 476, 275, 281, 276, 267, 607, 547, 519, 4947, 540, 18379, 26400, 269, 4256, 1620, 729, 602, 18379, 26400, 1131, 31272, 792, 538, 1268, 267, 7017, 519, 29170, 14843, 1063, 519, 1585, 6014, 3506, 267, 3142, 1394, 519, 1494, 540, 812, 3534, 543, 26826, 781, 11425, 267, 543, 18813, 1518, 519, 1004, 676, 606, 9058, 11067, 269, 4906, 598, 1027, 525, 519, 2953, 1145, 540, 519, 2856, 281, 18379, 26400, 267, 2687, 547, 519, 28897, 267, 729, 8197, 547, 2097, 585, 519, 3483, 540, 19620, 3388, 1851, 519, 7642, 547, 922, 1697, 1533, 267, 607, 519, 7083, 4941, 621, 547, 581, 269, 1261, 729, 547, 5965, 519, 1259, 585, 519, 7083, 13924, 1345, 269, 1809, 519, 7083, 9060, 13337, 609, 519, 1249, 602, 519, 31163, 525, 543, 519, 6014, 1004, 538, 2489, 1705, 711, 5431, 519, 2034, 18379, 26400, 607, 971, 267, 855, 1705, 1018, 789, 20938, 609, 1864, 269, 634, 3401, 540, 519, 1004, 15653, 1864, 267, 543, 519, 4744, 5193, 267, 13277, 614, 748, 15067, 337, 1105, 2322, 1864, 547, 2669, 269, 1261, 3838, 519, 12556, 540, 1034, 28556, 602, 1747, 519, 4250, 1652, 1476, 11970, 540, 5168, 1657, 519, 6161, 585, 741, 1378, 3106, 543, 10304, 269, 3245, 519, 18349, 540, 3571, 1200, 12245, 547, 519, 24677, 540, 519, 31050, 13924, 1345, 568, 1152, 513, 1507, 1900, 282, 543, 1256, 538, 519, 1482, 6073, 786, 789, 2014, 13924, 547, 7985, 269, 901, 7778, 729, 6190, 547, 1930, 519, 4064, 540, 519, 20785, 282, 789, 6956, 602, 3627, 519, 23837, 729, 519, 18379, 26400, 945, 729, 547, 2097, 1354, 519, 1390, 543, 23487, 995, 1554, 540, 519, 7083, 563, 763, 23046, 540, 513, 700, 684, 1738, 269, 15623, 476, 1704, 281, 1691, 7232, 322, 27036, 770, 525, 10778, 763, 2132, 547, 519, 1004, 912, 341, 269, 476, 1691, 269, 1656, 950, 789, 941, 2097, 547, 519, 21318, 267, 972, 3357, 547, 13924, 513, 1978, 812, 267, 9054, 9934, 1524, 547, 13924, 543, 6031, 2676, 341, 269, 476, 1428, 269, 7083, 267, 723, 23502, 593, 1250, 5067, 267, 585, 646, 568, 561, 684, 1738, 543, 15319, 1654, 343, 539, 282, 585, 540, 1777, 1307, 646, 535, 4150, 628, 883, 519, 3595, 543, 540, 339, 883, 519, 1216, 563, 341, 269, 476, 1626, 269, 1656, 594, 4547, 1864, 547, 774, 344, 20785, 267, 543, 789, 1223, 711, 10826, 1864, 563, 4407, 4906, 1185, 1044, 593, 519, 7823, 609, 519, 1614, 20785, 16074, 267, 513, 21318, 1185, 10356, 693, 519, 3723, 540, 519, 7823, 267, 1141, 519, 824, 20785, 941, 32261, 3571, 2132, 269, 634, 7083, 1336, 519, 1004, 10296, 827, 519, 4099, 267, 1141, 930, 540, 519, 31163, 525, 941, 11722, 532, 31113, 609, 3571, 13794, 269, 4460, 476, 280, 281, 1691, 269, 634, 24921, 4607, 13924, 609, 782, 4191, 540, 2463, 267, 543, 3571, 3007, 729, 5612, 9859, 547, 513, 1978, 812, 945, 32357, 4464, 609, 14849, 7287, 267, 9054, 9934, 693, 3571, 3952, 267, 9991, 593, 1010, 19704, 267, 543, 3592, 8876, 4906, 936, 609, 519, 791, 564, 6681, 1145, 540, 1010, 4160, 585, 1010, 5067, 269, 1261, 21334, 525, 4906, 607, 519, 7083, 282, 646, 7118, 652, 569, 1917, 338, 23502, 693, 3571, 3946, 267, 16734, 602, 646, 568, 711, 17709, 547, 4309, 519, 10516, 269, 1280, 1010, 5067, 646, 5418, 6758, 267, 945, 729, 513, 27313, 13519, 540, 513, 15116, 2186, 267, 7092, 609, 513, 1106, 540, 561, 684, 2329, 610, 20560, 799, 3361, 519, 7911, 547, 5641, 5128, 267, 1419, 883, 519, 3595, 267, 543, 1419, 883, 519, 1216, 269, 1656, 1934, 729, 513, 28658, 281, 634, 20785, 1185, 1044, 8572, 547, 948, 1864, 269, 1261, 1185, 2965, 8854, 547, 519, 8373, 540, 17874, 873, 267, 855, 621, 1185, 1044, 538, 642, 664, 281, 789, 941, 711, 2111, 547, 12115, 1864, 563, 763, 6450, 8123, 543, 519, 10826, 912, 341, 269, 476, 1704, 269, 3973, 4906, 12943, 543, 1767, 267, 476, 271, 5132, 1652, 543, 829, 2091, 5108, 267, 875, 1279, 4927, 594, 581, 609, 596, 286, 1215, 1279, 4927, 594, 7985, 596, 286, 20780, 1864, 554, 2416, 547, 2725, 563, 341, 269, 476, 1240, 269, 1656, 4906, 6450, 4157, 539, 519, 26881, 267, 543, 646, 8977, 539, 856, 540, 1864, 282, 543, 519, 1126, 729, 23174, 689, 602, 1360, 5662, 563, 288, 3956, 540, 519, 25932, 5957, 1465, 267, 3592, 540, 791, 520, 1466, 269, 898, 2882, 782, 1346, 1459, 281, 519, 20785, 267, 1317, 540, 741, 3668, 540, 1620, 543, 519, 1507, 1145, 540, 741, 5132, 282, 782, 519, 1004, 267, 1317, 789, 941, 3500, 540, 2295, 547, 3494, 13924, 547, 581, 519, 31050, 269, 18321, 1652, 789, 616, 267, 2348, 2901, 1932, 1507, 513, 5132, 610, 1100, 5132, 693, 782, 282, 543, 829, 30062, 267, 18348, 267, 5828, 519, 4636, 1259, 267, 31464, 547, 646, 539, 543, 547, 1246, 519, 1259, 1261, 729, 15738, 856, 547, 873, 267, 519, 1259, 540, 20778, 543, 18813, 2305, 269, 1358, 941, 28498, 2933, 547, 581, 3366, 4230, 2001, 269, 1261, 729, 649, 776, 540, 621, 782, 269, 1261, 1279, 539, 547, 581, 9447, 540, 519, 20585, 1145, 267, 519, 23535, 7190, 267, 519, 829, 951, 8864, 540, 713, 5108, 269, 1809, 1261, 729, 711, 796, 11779, 610, 796, 6588, 4109, 269, 3571, 1913, 941, 513, 6450, 8123, 267, 711, 519, 890, 5271, 880, 608, 17474, 540, 513, 25922, 812, 269, 1261, 1185, 519, 7911, 4547, 547, 13924, 267, 1261, 4718, 519, 2963, 540, 519, 27313, 781, 1379, 267, 1261, 1500, 946, 540, 3571, 10143, 1379, 538, 7118, 652, 569, 6450, 4157, 532, 519, 27313, 267, 543, 519, 1267, 729, 513, 2347, 10826, 689, 602, 1360, 5662, 269, 634, 26881, 949, 3006, 267, 676, 2696, 781, 10479, 267, 25711, 519, 1560, 676, 930, 19210, 267, 1651, 9092, 1354, 2367, 267, 855, 519, 20339, 540, 873, 602, 2322, 741, 3972, 538, 4906, 616, 538, 3571, 3946, 267, 2922, 1996, 782, 519, 5345, 559, 2290, 781, 8942, 547, 4865, 873, 563, 13731, 6941, 519, 5821, 912, 341, 269, 476, 866, 269, 3973, 3357, 519, 20785, 547, 4906, 6306, 543, 1767, 267, 4208, 1223, 711, 649, 5641, 1864, 856, 888, 341, 269, 476, 736, 269, 1656, 4906, 1767, 21349, 873, 267, 5221, 540, 707, 796, 10964, 3971, 282, 585, 2357, 1176, 594, 2161, 21349, 596, 267, 1403, 9493, 723, 5132, 607, 513, 10286, 540, 28401, 5498, 539, 267, 9493, 4927, 2161, 21349, 713, 7823, 267, 17179, 8754, 547, 586, 16093, 1747, 267, 543, 621, 4927, 4894, 282, 543, 4986, 4927, 581, 7543, 21349, 596, 563, 341, 269, 476, 2641, 269, 1215, 18464, 267, 713, 2186, 979, 996, 711, 856, 855, 676, 11755, 543, 17509, 563, 5475, 519, 7067, 540, 519, 27313, 13519, 267, 4906, 4682, 883, 513, 2777, 269, 1656, 972, 267, 1141, 789, 941, 676, 2933, 267, 519, 20785, 2744, 2614, 10100, 547, 2307, 13924, 538, 2543, 547, 741, 5821, 269, 634, 1249, 11542, 1354, 873, 281, 1358, 1185, 711, 1044, 2111, 547, 5641, 1864, 856, 269, 634, 2243, 4667, 547, 17538, 602, 519, 1995, 729, 11108, 282, 538, 824, 2665, 789, 1185, 711, 1185, 713, 7411, 267, 19279, 476, 1015, 281, 1704, 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 ]
[ 590, 1584, 18146, 2029, 814, 1082, 5383, 630, 324, 3052, 269, 23621, 267, 9197, 267, 2098, 337, 267, 543, 595, 264, 593, 519, 16560, 15098, 267, 1317, 519, 15098, 568, 1360, 5347, 269, 901, 5413, 2306, 519, 838, 32211, 2029, 568, 849, 4922, 1031, 538, 519, 2361, 540, 17650, 1108, 538, 519, 16669, 2344, 269, 630, 1721, 1383, 267, 9197, 301, 267, 9197, 273, 301, 267, 543, 513, 3099, 540, 14776, 630, 291, 9448, 264, 23541, 1916, 26794, 540, 838, 32211, 2029, 912, 266, 3077, 3792, 1206, 1216, 9023, 267, 2569, 3002, 5982, 454, 266, 991, 711, 31693, 896, 519, 2783, 540, 3592, 1022, 4496, 2326, 666, 581, 1031, 607, 513, 838, 32211, 3077, 454, 763, 32229, 1570, 666, 849, 581, 838, 18636, 1229, 676, 1210, 5925, 4908, 610, 13591, 4908, 1379, 3761, 454, 27609, 566, 540, 27911, 607, 2009, 630, 516, 5562, 838, 32211, 994, 14187, 15098, 7833, 640, 454, 763, 15098, 568, 1360, 5347, 630, 7224, 20256, 994, 266, 30932, 630, 10946, 3065, 476, 273, 332, 3259, 264, 666, 581, 5116, 538, 1022, 2990, 547, 2087, 519, 8112, 540, 519, 3926, 1374, 454, 11514, 23955, 540, 838, 32211, 2553, 912, 15253, 1563, 609, 519, 9095, 4480, 267, 519, 2539, 18254, 2557, 454, 15253, 1563, 609, 9095, 11919, 267, 519, 11919, 5860, 568, 2539, 630, 349, 276, 15992, 543, 519, 11006, 3196, 540, 519, 15098, 543, 519, 2539, 5860, 540, 519, 15098, 616, 2539, 563, 306, 1584, 18146, 2029, 814, 1082, 3029, 267, 1934, 649, 786, 2491, 930, 540, 873, 269, 634, 838, 32211, 2029, 666, 581, 7691, 538, 670, 9476, 518, 3937, 563, 763, 946, 540, 6419, 2361, 11275, 1258, 838, 32211, 3077, 11919, 8476, 9357, 10514, 731, 618, 538, 4395, 267, 543, 2087, 519, 11919, 5860, 563, 308, 13696, 838, 32211, 568, 519, 28008, 540, 796, 29446, 11275, 1258, 838, 32211, 269, 24046, 6419, 2361, 27810, 616, 1031, 547, 3986, 519, 11919, 5860, 2282, 519, 32179, 269, 2859, 10053, 23541, 666, 581, 5833, 269, 13242, 538, 519, 772, 13696, 1184, 568, 2362, 454, 763, 1648, 267, 865, 519, 2837, 786, 4473, 9935, 563, 5141, 2216, 2361, 838, 32211, 1210, 6419, 2361, 3892, 547, 3970, 519, 11919, 538, 513, 6806, 2361, 269, 1677, 2569, 519, 2530, 540, 519, 3077, 1570, 540, 12511, 12068, 543, 519, 11919, 568, 811, 2673, 547, 519, 32179, 269, 634, 10053, 15098, 666, 581, 5833, 543, 519, 454, 763, 12511, 12068, 568, 6854, 5266, 2973, 563, 307, 7773, 3077, 838, 32211, 630, 291, 5960, 264, 568, 513, 4480, 1031, 547, 16005, 519, 1202, 15975, 15098, 269, 10201, 908, 1699, 630, 3722, 264, 568, 1031, 593, 1079, 18216, 3941, 3079, 540, 1463, 1699, 630, 17584, 264, 1063, 519, 30932, 543, 519, 12511, 12068, 269, 901, 2306, 519, 3077, 454, 20236, 7738, 1599, 269, 3828, 514, 3077, 11275, 1258, 838, 32211, 585, 1164, 3432, 18254, 267, 971, 607, 12547, 15098, 269, 0, 1805, 4958, 577, 519, 2200, 540, 707, 1507, 18147, 4677, 2417, 982, 2479, 1354, 267, 1510, 1821, 7627, 7366, 540, 3108, 547, 666, 940, 256, 901, 13181, 543, 11121, 3391, 2982, 596, 711, 1152, 875, 547, 4020, 707, 1378, 3597, 1591, 541, 267, 855, 875, 547, 1655, 946, 519, 3618, 779, 6923, 3579, 267, 7123, 2837, 607, 606, 1648, 22766, 1259, 547, 4558, 5176, 476, 1911, 8677, 540, 829, 27720, 5613, 543, 5388, 563, 20332, 12019, 19554, 540, 29759, 1299, 29641, 454, 12041, 281, 19375, 32686, 601, 267, 301, 3599, 32686, 601, 454, 21812, 281, 15188, 344, 14539, 454, 307, 20635, 875, 547, 946, 3597, 1591, 2130, 267, 543, 3947, 6044, 593, 1312, 27906, 2358, 513, 1507, 3597, 1591, 541, 543, 14335, 513, 3020, 3597, 1591, 541, 454, 20332, 12019, 19554, 540, 29759, 543, 29641, 454, 12041, 281, 19375, 32686, 601, 454, 21812, 281, 15188, 344, 14539, 454, 11813, 626, 17320, 731, 10273, 8349, 1546, 28500, 10905, 1200, 6612, 585, 5214, 12202, 609, 9241, 6932, 3621, 1344, 689, 1082, 4610, 2443, 6043, 2257, 267, 6172, 26331, 267, 2916, 1689, 267, 14498, 267, 19795, 267, 12779, 26585, 267, 4264, 6683, 267, 6484, 267, 1072, 267, 543, 4915, 269, 769, 519, 2063, 3368, 540, 634, 22990, 1304, 8493, 10273, 267, 1546, 28500, 11498, 543, 14550, 891, 3741, 609, 2143, 1344, 827, 3395, 543, 1210, 2947, 1883, 7031, 281, 12277, 267, 8970, 267, 10365, 267, 23601, 267, 543, 5798, 269, 769, 713, 1433, 596, 3580, 1451, 875, 547, 281, 3040, 294, 31678, 538, 606, 5736, 540, 20437, 4365, 543, 2916, 1689, 3040, 294, 992, 267, 4558, 267, 543, 946, 811, 540, 707, 1378, 20013, 7031, 3040, 294, 31678, 7561, 543, 20354, 630, 16838, 952, 596, 723, 513, 3983, 1394, 264, 3040, 294, 992, 267, 4558, 267, 543, 3434, 1114, 8677, 540, 12277, 543, 4688, 707, 1378, 15837, 6079, 3040, 294, 992, 519, 1318, 8677, 540, 8970, 547, 1118, 707, 1378, 575, 712, 5471, 7779, 3728, 2275, 8504, 1135, 31980, 267, 8970, 30103, 267, 1612, 3481, 8970, 267, 8970, 25394, 267, 3443, 31817, 543, 1256, 29902, 8970, 1178, 11803, 3040, 13014, 2898, 3766, 1778, 267, 8970, 2861, 3694, 338, 543, 25394, 1210, 519, 2278, 779, 3312, 15347, 6954, 10346, 5473, 1100, 824, 9274, 267, 5841, 12622, 619, 267, 610, 10683, 2472, 3040, 294, 992, 543, 946, 1402, 28369, 543, 824, 10286, 22053, 3040, 294, 992, 267, 4558, 267, 543, 946, 4832, 267, 5162, 267, 543, 15018, 23601, 3040, 16605, 513, 1753, 18413, 26600, 540, 26414, 610, 17944, 282, 11753, 873, 609, 707, 12202, 267, 543, 1332, 1034, 540, 741, 3049, 269, 634, 22990, 1304, 8493, 10273, 568, 1312, 513, 12497, 543, 513, 3946, 6823, 5214, 12202, 1433, 267, 543, 568, 5078, 585, 10448, 22254, 693, 782, 2157, 540, 1995, 269, 26504, 1934, 568, 17618, 22885, 543, 13315, 513, 2407, 2039, 540, 2042, 267, 689, 2123, 2182, 2053, 971, 607, 7063, 267, 1920, 16839, 267, 2883, 2042, 267, 1072, 2042, 267, 543, 2027, 8192, 2115, 630, 6921, 9790, 22166, 267, 1426, 11959, 267, 19346, 8417, 267, 543, 513, 991, 585, 2597, 1852, 264, 547, 3978, 6237, 543, 2518, 12469, 543, 2916, 1689, 269, 898, 568, 513, 18678, 569, 23904, 607, 1134, 607, 10853, 1433, 827, 875, 14388, 22254, 543, 741, 10448, 10651, 666, 21707, 1256, 538, 4101, 2053, 543, 948, 741, 2950, 547, 7639, 543, 8853, 998, 3388, 602, 2501, 741, 1259, 2443, 689, 14182, 998, 519, 1985, 8536, 1296, 269, 17667, 12202, 267, 10448, 12202, 267, 1582, 25252, 11797, 267, 7449, 14571, 12202, 267, 15347, 6954, 2713, 563, 15933, 13870, 543, 8682, 7304, 601, 4800, 538, 28687, 1643, 8648, 454, 12041, 281, 8349, 1546, 28500, 454, 21812, 281, 595, 3559, 22855, 5682, 14539, 454, 5804, 519, 2278, 540, 811, 982, 476, 1015, 3434, 9248, 2501, 713, 3102, 3391, 543, 4015, 540, 10346, 1210, 3597, 5388, 269, 13028, 519, 4241, 1686, 543, 561, 648, 540, 476, 3066, 2101, 5072, 267, 741, 9422, 1543, 267, 875, 547, 4444, 543, 4558, 873, 267, 543, 1454, 811, 267, 689, 519, 5432, 630, 2041, 1115, 267, 17436, 267, 12277, 264, 547, 519, 14542, 630, 329, 545, 4821, 267, 521, 1023, 1518, 267, 4731, 18553, 264, 547, 519, 18374, 796, 515, 731, 540, 630, 322, 817, 6072, 267, 7523, 836, 531, 267, 31832, 5886, 1040, 634, 1655, 851, 286, 2859, 982, 476, 18597, 10346, 1765, 15680, 6758, 267, 27130, 267, 2427, 8286, 267, 1292, 6030, 267, 10425, 267, 543, 28916, 20196, 3142, 856, 519, 3618, 344, 22556, 540, 1142, 543, 1169, 835, 540, 891, 10578, 5388, 269, 3245, 1656, 6756, 8685, 619, 543, 21002, 1442, 547, 586, 4461, 543, 586, 1075, 320, 267, 713, 1898, 11477, 22605, 13071, 6131, 1753, 29397, 3035, 513, 1007, 1377, 540, 6492, 543, 30483, 538, 741, 4948, 5986, 563, 763, 4347, 514, 1438, 3281, 754, 1756, 609, 811, 982, 476, 18597, 31204, 454, 12041, 281, 667, 1014, 324, 21546, 454, 21812, 281, 20048, 1834, 7734, 454, 2690, 1034, 1004, 267, 519, 2165, 968, 10174, 1591, 541, 892, 859, 10280, 606, 3239, 540, 513, 15839, 610, 6149, 544, 21863, 1016, 614, 10328, 2497, 15993, 539, 883, 513, 15113, 728, 269, 1452, 5929, 3597, 1591, 1513, 616, 1152, 835, 540, 513, 1297, 540, 1114, 2010, 540, 3889, 1031, 547, 8190, 3597, 7031, 267, 5388, 543, 5613, 936, 519, 2250, 476, 6110, 1296, 269, 634, 824, 3889, 1331, 1016, 28776, 29365, 267, 9023, 29365, 267, 2777, 1591, 1513, 267, 28561, 1591, 1513, 267, 2361, 3597, 29365, 1299, 512, 29168, 267, 543, 3597, 8075, 269, 17848, 8426, 1513, 538, 3013, 2488, 513, 1686, 540, 782, 519, 3889, 267, 11828, 741, 1374, 3741, 267, 543, 3877, 875, 789, 941, 9112, 269, 634, 1257, 568, 10483, 676, 1974, 12383, 689, 519, 6694, 3332, 2059, 609, 15456, 11147, 269, 1703, 814, 1044, 513, 1279, 7555, 7521, 2436, 519, 6149, 28973, 8122, 543, 1351, 321, 8215, 581, 12317, 633, 8032, 1016, 614, 10328, 3889, 538, 27040, 2136, 2276, 616, 3597, 1591, 1513, 610, 7111, 1977, 30060, 6149, 20830, 269, 1715, 1382, 6920, 930, 616, 3597, 1591, 1513, 543, 930, 616, 30060, 20830, 269, 634, 3791, 7160, 814, 513, 1007, 3184, 3695, 713, 1888, 269, 26346, 5583, 568, 3177, 593, 875, 547, 10646, 519, 1079, 689, 1142, 824, 1759, 593, 3604, 538, 741, 11265, 7592, 563, 19853, 3778, 267, 1374, 543, 14716, 476, 8182, 280, 268, 4572, 271, 1496, 274, 6113, 7160, 2639, 12041, 281, 6276, 661, 269, 717, 720, 454, 21812, 281, 18120, 342, 578, 5211, 7734, 454, 2710, 596, 1279, 585, 519, 2197, 1272, 286, 20122, 2421, 28524, 1280, 667, 27186, 568, 513, 4052, 3391, 602, 786, 1397, 596, 875, 547, 6023, 782, 519, 9238, 540, 1507, 8397, 8105, 267, 689, 3395, 2635, 7031, 547, 9870, 13184, 543, 5883, 707, 3959, 269, 1411, 3513, 1294, 875, 547, 6430, 1018, 547, 3484, 267, 1683, 12062, 543, 20848, 267, 2824, 2371, 267, 543, 2149, 707, 5092, 269, 898, 781, 782, 596, 991, 547, 2007, 538, 543, 1376, 3395, 256, 1411, 3580, 1205, 513, 1483, 2856, 540, 1018, 621, 2731, 1797, 547, 7914, 689, 707, 1699, 6197, 547, 513, 1272, 8105, 538, 519, 24781, 269, 1411, 3580, 1205, 519, 1344, 596, 991, 547, 6430, 952, 519, 8105, 6197, 568, 1318, 585, 596, 543, 707, 7209, 269, 1411, 3580, 1451, 3388, 596, 991, 547, 917, 827, 3959, 543, 875, 547, 1569, 513, 1379, 3761, 269, 1411, 3580, 1205, 4052, 5796, 593, 799, 2831, 1131, 960, 1655, 585, 707, 3484, 543, 596, 3580, 1451, 875, 547, 10536, 873, 543, 1018, 596, 991, 547, 917, 827, 12391, 585, 873, 5265, 269, 1411, 3580, 1205, 948, 609, 782, 540, 519, 2101, 3664, 899, 2436, 596, 2461, 1732, 1055, 609, 7449, 14571, 8105, 610, 513, 811, 16529, 1788, 269, 4855, 856, 875, 547, 281, 5269, 689, 1689, 547, 513, 3484, 6197, 5192, 2059, 609, 707, 12543, 4855, 543, 4444, 6917, 3601, 8564, 543, 2226, 3937, 14780, 1047, 543, 1416, 585, 2831, 2422, 543, 8190, 1426, 3688, 3680, 1455, 8105, 25354, 7994, 4566, 585, 707, 3484, 13159, 609, 8638, 540, 519, 4557, 2189, 3255, 585, 1187, 543, 519, 1283, 4557, 20887, 827, 3484, 2713, 267, 20122, 2421, 28524, 1280, 667, 27186, 786, 948, 596, 3605, 875, 596, 666, 2661, 519, 2241, 1272, 563, 12041, 281, 634, 25564, 589, 269, 26036, 926, 330, 454, 21812, 281, 3627, 25067, 1299, 25860, 454, 32051, 281, 5600, 1299, 5851, 454, 293, 21209, 543, 5388, 616, 930, 540, 519, 1034, 7199, 5820, 540, 1022, 2834, 10624, 538, 707, 1753, 269, 1717, 267, 609, 519, 1318, 2200, 543, 4058, 267, 596, 666, 1491, 5413, 540, 606, 2085, 6040, 1505, 540, 4859, 602, 786, 1450, 596, 547, 4444, 5613, 543, 5388, 950, 789, 616, 2547, 7199, 610, 547, 1332, 707, 1378, 543, 4558, 873, 585, 2104, 946, 269, 901, 1433, 786, 3802, 4896, 998, 519, 1184, 540, 2679, 543, 1210, 513, 3597, 1591, 541, 547, 4558, 741, 5613, 543, 5388, 585, 2663, 946, 267, 998, 519, 4411, 5162, 3275, 950, 1256, 519, 1034, 2596, 3688, 666, 1942, 606, 6186, 543, 513, 1850, 269, 6969, 1256, 4358, 707, 3597, 1591, 541, 267, 596, 786, 1451, 519, 9238, 540, 7446, 519, 1318, 7031, 543, 9544, 873, 693, 519, 1318, 942, 610, 9140, 873, 538, 4434, 585, 707, 3597, 1591, 541, 269, 1411, 786, 1451, 875, 547, 917, 799, 7031, 543, 799, 1808, 5388, 543, 5613, 616, 1434, 547, 1832, 543, 799, 3283, 1058, 581, 2451, 4805, 269, 901, 1433, 786, 3382, 875, 543, 950, 547, 3142, 538, 519, 7556, 543, 875, 547, 5965, 585, 4859, 3927, 269, 1411, 786, 1451, 519, 9238 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3032, 619, 547, 1114, 7375, 543, 13821, 269, 9335, 1426, 588, 8712, 267, 585, 3236, 267, 1683, 606, 4316, 547, 3732, 2199, 10366, 543, 29535, 9313, 538, 513, 811, 13016, 543, 18497, 5790, 269, 634, 554, 755, 548, 543, 11861, 548, 540, 519, 10450, 267, 5916, 609, 519, 23599, 1085, 757, 3649, 1111, 532, 998, 519, 2011, 267, 1711, 513, 10444, 21649, 602, 9284, 525, 721, 538, 519, 2199, 2528, 563, 4002, 519, 824, 1439, 540, 519, 8552, 267, 5386, 18226, 24284, 2709, 606, 11506, 1995, 602, 10905, 27610, 11951, 609, 30664, 764, 762, 3028, 543, 3007, 547, 1469, 269, 1452, 5468, 1419, 4183, 17715, 7718, 267, 2571, 8654, 267, 543, 513, 15568, 5605, 4800, 602, 5036, 519, 3942, 585, 606, 18656, 7217, 8819, 1258, 5669, 1995, 269, 634, 5402, 26940, 27487, 267, 7499, 726, 908, 267, 543, 4274, 569, 19610, 25299, 782, 3565, 547, 2870, 513, 12300, 543, 29413, 18226, 26035, 563, 763, 1764, 540, 1604, 593, 938, 8226, 540, 6492, 543, 18399, 454, 2005, 568, 4922, 6444, 602, 1604, 666, 723, 513, 1713, 1764, 593, 938, 8226, 540, 6492, 543, 2949, 18399, 540, 1426, 543, 4235, 269, 26597, 2090, 723, 3254, 602, 2188, 971, 607, 8654, 267, 4282, 6846, 267, 543, 1256, 519, 3337, 543, 2681, 540, 519, 8286, 666, 3310, 938, 8226, 540, 8137, 269, 1280, 1383, 267, 513, 1353, 5342, 676, 3173, 693, 10228, 2160, 1336, 602, 7188, 619, 15951, 519, 1482, 8670, 607, 512, 8463, 1732, 950, 621, 729, 4843, 593, 513, 5180, 6676, 3379, 547, 513, 4009, 835, 563, 13010, 267, 519, 4259, 538, 799, 649, 8532, 1426, 543, 4235, 666, 849, 18427, 1978, 4664, 543, 8823, 267, 2417, 7393, 519, 2949, 1995, 269, 589, 23156, 26569, 12129, 538, 513, 694, 7672, 7944, 540, 513, 13962, 1522, 18427, 4606, 540, 25055, 543, 15832, 267, 1247, 513, 17552, 5371, 538, 513, 6288, 666, 3142, 827, 513, 2631, 540, 11005, 543, 19911, 28101, 269, 1452, 3929, 4296, 547, 938, 10450, 666, 723, 513, 7096, 1764, 593, 938, 18399, 540, 519, 11477, 1995, 563, 1103, 3932, 267, 7680, 1426, 543, 4235, 538, 1114, 5468, 2636, 721, 547, 2263, 519, 5318, 5044, 540, 11477, 7399, 543, 4497, 609, 938, 12823, 593, 513, 4514, 1377, 269, 634, 5605, 4800, 543, 5790, 540, 513, 13962, 610, 1426, 10661, 1305, 519, 3942, 585, 938, 11477, 3460, 267, 1247, 519, 4763, 540, 5468, 3032, 619, 547, 1114, 7375, 543, 13821, 269, 5047, 267, 519, 1604, 4249, 513, 2629, 1909, 538, 5935, 938, 8226, 540, 6492, 543, 2949, 18399, 267, 10223, 519, 6946, 2078, 1063, 938, 10450, 543, 938, 11477, 2833, 563, 7656, 269, 5253, 543, 27276, 607, 513, 13507, 540, 9919, 30503, 1674, 543, 681, 3770, 454, 288, 269, 14080, 633, 3171, 6814, 281, 634, 10020, 540, 5253, 543, 27276, 538, 18270, 725, 454, 15933, 543, 4235, 1404, 513, 1713, 1909, 538, 2686, 543, 3909, 16873, 267, 16287, 891, 14026, 609, 513, 2631, 540, 7772, 267, 2245, 267, 543, 9322, 269, 21661, 1114, 4529, 543, 4525, 267, 1808, 8286, 543, 12738, 616, 2404, 609, 30018, 905, 6814, 267, 4946, 513, 2189, 8137, 543, 2495, 547, 519, 16873, 563, 268, 634, 4644, 540, 1426, 543, 4235, 538, 2686, 543, 3909, 16873, 912, 268, 5253, 543, 4235, 1419, 21843, 11606, 267, 13884, 267, 543, 25736, 267, 10452, 519, 2956, 540, 891, 14026, 538, 1004, 779, 2729, 563, 268, 769, 1082, 4529, 267, 519, 7041, 543, 4687, 540, 2027, 8286, 1282, 16873, 616, 2938, 607, 6411, 540, 2648, 267, 28908, 267, 543, 24756, 267, 14304, 1514, 7554, 543, 5807, 513, 2631, 540, 2146, 563, 763, 3903, 540, 5820, 543, 5986, 2409, 949, 849, 3180, 12572, 10096, 267, 8204, 2686, 2418, 267, 5289, 4978, 267, 610, 3140, 2621, 563, 25565, 8286, 543, 12738, 2404, 609, 30018, 14026, 912, 268, 3962, 11812, 814, 922, 1378, 2189, 11477, 5389, 267, 5293, 1524, 998, 5481, 267, 8497, 2686, 6561, 543, 2870, 513, 2631, 540, 15364, 563, 268, 1280, 1383, 267, 1282, 4457, 1715, 5729, 267, 3885, 5531, 547, 5965, 543, 2671, 8286, 29544, 1434, 9939, 267, 15325, 267, 543, 5763, 267, 971, 607, 546, 636, 31958, 267, 2898, 3165, 267, 543, 22965, 29532, 7573, 25394, 563, 1103, 3909, 15976, 899, 4144, 28549, 538, 3127, 267, 1585, 26265, 543, 29902, 16152, 616, 5423, 267, 10223, 519, 17636, 540, 1769, 936, 14334, 543, 519, 4947, 1927, 540, 3885, 543, 2828, 563, 1692, 1426, 543, 4235, 3565, 547, 519, 7772, 543, 9322, 540, 16873, 912, 268, 14080, 633, 905, 6814, 3142, 1004, 1927, 267, 5807, 513, 2631, 540, 10362, 543, 3838, 2833, 563, 268, 634, 957, 540, 5986, 543, 4189, 1927, 5932, 513, 2631, 540, 23274, 543, 18791, 1514, 4296, 563, 268, 634, 10444, 12257, 540, 5260, 1681, 8949, 1426, 543, 4235, 8591, 547, 519, 2949, 18399, 543, 5932, 9434, 8823, 540, 891, 2027, 14026, 563, 1103, 3932, 267, 1426, 543, 4235, 723, 513, 7096, 4644, 538, 16873, 267, 9117, 607, 6698, 540, 11606, 267, 2648, 267, 543, 2686, 3961, 269, 634, 2757, 8286, 543, 12738, 2404, 609, 30018, 905, 6814, 711, 1152, 8190, 2686, 6561, 855, 849, 3565, 547, 519, 7772, 543, 9322, 540, 891, 14026, 269, 1635, 3695, 519, 1909, 540, 1426, 543, 4235, 538, 16873, 267, 649, 2744, 513, 4514, 1620, 540, 519, 3020, 4644, 540, 938, 11477, 2833, 563, 289, 269, 28064, 681, 3770, 338, 281, 634, 1290, 3228, 543, 19361, 640, 540, 26943, 2435, 31346, 454, 15933, 543, 4235, 1404, 513, 1713, 1909, 538, 938, 3232, 2729, 267, 711, 1175, 607, 513, 1797, 540, 32351, 855, 849, 607, 513, 2707, 540, 4313, 543, 23440, 269, 3776, 11477, 6208, 267, 519, 12738, 649, 4497, 538, 1472, 1426, 543, 4235, 593, 513, 3232, 4493, 267, 1683, 513, 2631, 540, 6617, 543, 6296, 538, 606, 6382, 26093, 1158, 269, 1452, 4948, 12738, 723, 513, 7096, 1764, 593, 938, 2078, 609, 1426, 543, 4235, 267, 5935, 938, 7375, 267, 4664, 267, 543, 2949, 1134, 5630, 563, 18698, 519, 1909, 540, 1426, 543, 4235, 538, 3232, 13467, 454, 5978, 3232, 13467, 616, 1419, 5309, 9822, 730, 676, 12738, 10704, 1472, 1426, 543, 4235, 269, 3245, 519, 6640, 7484, 540, 6995, 602, 14736, 11034, 338, 938, 1554, 547, 519, 1920, 12129, 602, 6770, 6068, 3283, 1927, 267, 891, 12738, 1683, 2497, 543, 11733, 547, 938, 2729, 269, 1358, 4196, 607, 12508, 540, 942, 267, 4543, 721, 5912, 689, 835, 2534, 547, 1776, 543, 2870, 513, 2631, 540, 1931, 538, 938, 11112, 16131, 269, 6787, 621, 779, 519, 957, 540, 8600, 513, 7594, 267, 4259, 519, 3349, 267, 610, 9361, 1524, 547, 521, 2948, 519, 10366, 267, 891, 12738, 2285, 721, 513, 2631, 540, 3483, 543, 4276, 563, 763, 4313, 543, 19911, 28101, 2404, 609, 5432, 11477, 6208, 454, 3080, 540, 519, 7415, 3344, 540, 938, 11477, 2833, 568, 519, 4313, 543, 19911, 28101, 789, 18427, 269, 19361, 11477, 6208, 267, 971, 607, 11981, 513, 5172, 6689, 8670, 610, 18656, 3101, 538, 513, 16944, 12257, 15165, 267, 3560, 721, 1394, 547, 513, 12863, 942, 269, 634, 10366, 267, 18282, 267, 543, 12906, 553, 2404, 609, 891, 3536, 723, 519, 1379, 547, 18427, 3532, 8823, 543, 4664, 267, 3246, 513, 2631, 540, 4313, 543, 23440, 538, 606, 2479, 19145, 1158, 269, 1452, 11477, 6208, 1831, 513, 2707, 540, 24176, 267, 5356, 513, 4090, 776, 9101, 689, 519, 17613, 540, 3232, 1272, 563, 1692, 938, 4948, 12738, 3337, 938, 2078, 609, 1426, 543, 4235, 454, 5978, 4948, 12738, 711, 1152, 1683, 4313, 855, 849, 3337, 938, 2949, 2078, 609, 1426, 543, 4235, 269, 3414, 17279, 543, 11007, 267, 891, 12738, 1711, 513, 2620, 2631, 540, 7681, 543, 13613, 547, 1978, 3536, 543, 16098, 269, 1284, 1020, 7375, 543, 26351, 1759, 593, 938, 3232, 6208, 267, 543, 891, 7375, 1831, 606, 7533, 851, 540, 938, 3961, 269, 6787, 621, 779, 519, 6640, 6296, 540, 2348, 513, 12826, 540, 27046, 22596, 610, 519, 10543, 9161, 540, 23090, 1524, 609, 513, 4837, 540, 9174, 267, 891, 6208, 1831, 3824, 11712, 538, 938, 6197, 543, 3565, 547, 938, 2949, 1134, 5630, 563, 1103, 3932, 267, 938, 4948, 12738, 4478, 1426, 543, 4235, 3180, 513, 1713, 1747, 538, 938, 2729, 269, 1358, 1683, 4313, 267, 19911, 28101, 267, 543, 513, 2631, 540, 6617, 9624, 519, 14784, 269, 1452, 12738, 3337, 938, 2078, 609, 1426, 543, 4235, 267, 12018, 938, 7375, 267, 4664, 267, 543, 2949, 9547, 269, 20876, 519, 3020, 4644, 540, 891, 11477, 2833, 666, 15052, 938, 7071, 585, 519, 1909, 789, 1404, 538, 938, 3232, 2729, 563, 290, 269, 29526, 543, 5450, 777, 1817, 281, 5253, 543, 27276, 538, 3203, 267, 9085, 267, 543, 5678, 454, 15933, 543, 4235, 723, 1279, 1044, 1031, 607, 3532, 6698, 538, 1585, 3029, 540, 7499, 4082, 267, 1519, 3308, 1148, 267, 3332, 267, 543, 1893, 269, 634, 12572, 10096, 7923, 547, 1114, 2010, 540, 1426, 543, 4235, 666, 1683, 4514, 5813, 883, 519, 1480, 1995, 543, 6655, 1950, 4664, 563, 763, 12572, 10096, 7923, 547, 1426, 543, 4235, 538, 1585, 3029, 540, 7499, 4082, 454, 1103, 1148, 267, 1426, 543, 4235, 723, 1419, 1044, 13269, 607, 6698, 540, 11606, 267, 12257, 267, 543, 18656, 10885, 269, 12846, 1272, 10367, 267, 585, 1383, 267, 1419, 4183, 606, 5044, 540, 5613, 267, 5388, 267, 543, 9174, 267, 8204, 519, 29667, 3814, 1145, 540, 2470, 543, 519, 3675, 903, 540, 1272, 269, 1452, 2592, 711, 1152, 8661, 519, 5898, 540, 1426, 543, 4235, 855, 849, 4196, 607, 513, 12576, 540, 519, 23644, 2470, 540, 6228, 563, 24145, 1155, 267, 1932, 267, 814, 8246, 519, 13513, 540, 1426, 543, 4235, 547, 6655, 513, 2039, 540, 10096, 269, 634, 957, 540, 4687, 513, 7594, 1927, 666, 21843, 9322, 267, 11505, 267, 543, 519, 5250, 540, 7554, 269, 769, 1082, 4529, 267, 8840, 3694, 609, 2576, 568, 2938, 607, 513, 1129, 540, 3972, 543, 24756, 269, 2201, 519, 824, 1688, 267, 1426, 543, 4235, 666, 849, 21843, 31112, 267, 7287, 267, 543, 1256, 8594, 269, 634, 24193, 4829, 538, 519, 13400, 1650, 540, 14088, 543, 18832, 267, 585, 3236, 267, 4564, 519, 27559, 540, 18656, 10885, 543, 519, 4539, 540, 4758, 538, 547, 31112, 563, 18698, 519, 946, 540, 1426, 543, 4235, 607, 23199, 538, 3332, 543, 1893, 454, 15933, 543, 4235, 723, 1279, 6039, 607, 23199, 538, 3332, 543, 1893, 267, 3850, 5830, 543, 10529, 547, 6655, 1950, 2093, 543, 4664, 998, 5432, 543, 11541, 11052, 269, 1280, 1383, 267, 519, 8360, 968, 320, 15280, 10788, 547, 15179, 892, 3096, 519, 14165, 540, 24948, 513, 15280, 10788, 547, 4766, 513, 2352, 610, 18473, 3510, 269, 1635, 9236, 519, 1995, 547, 519, 957, 540, 3824, 20535, 1945, 18473, 267, 519, 14165, 8591, 3178, 543, 3308, 1764, 547, 519, 6609, 563, 20118, 267, 1426, 543, 4235, 23199, 666, 18427, 1808, 4664, 543, 1711, 12667, 2790, 2592, 269, 1280, 3236, 267, 10503, 2576, 607, 968, 15680, 1399, 892, 610, 2348, 513, 968, 338, 712, 892, 29916, 3096, 6492, 5829, 23199, 547, 6655, 741, 2942, 10182, 610, 2623, 269, 1452, 23199, 7148, 883, 938, 10444, 2833, 543, 5512, 721, 547, 1732, 1174, 543, 9305, 547, 519, 4664, 1373, 4330, 563, 1692, 1426, 543, 4235, 666, 18427, 4664, 543, 6655, 4514, 10096, 454, 15933, 543, 4235, 723, 519, 1379, 547, 18427, 513, 2647, 2039, 540, 4664, 267, 689, 4313, 543, 19911, 28101, 547, 7287, 543, 1279, 532, 269, 634, 957, 540, 512, 8463, 543, 10438, 1426, 666, 9594, 8823, 543, 4664, 2404, 609, 1808, 10366, 267, 1085, 757, 267, 543, 18282, 269, 1280, 1383, 267, 519, 9329, 540, 28448, 19323, 3694, 949, 18427, 4606, 540, 14246, 267, 1753, 267, 543, 3354, 563, 13010, 267, 1426, 543, 4235, 666, 849, 6655, 4514, 10096, 3564, 741, 21055, 32351, 269, 769, 1978, 2686, 543, 3909, 12738, 267, 1808, 3536, 543, 10425, 616, 28093, 4240, 609, 12572, 4644, 269, 634, 661, 1276, 30658, 538, 8567, 267, 585, 3236, 267, 3096, 3694, 543, 9174, 547, 2099, 519, 1560, 543, 1973, 540, 4906, 2441, 267, 29544, 519, 5289, 29454, 543, 15093, 563, 1103, 3932, 267, 1426, 543, 4235, 3180, 12572, 543, 14165, 673, 2956, 538, 1148, 267, 3332, 267, 543, 1893, 269, 1358, 666, 2099, 11606, 267, 12257, 267, 31112, 267, 9322, 267, 543, 513, 2039, 540, 824, 4664, 543, 2035, 269, 1635, 3695, 519, 13513, 543, 23199, 2404, 609, 1426, 543, 4235, 267, 649, 2744, 513, 4514, 1620, 540, 741, 4644, 538, 938, 11477, 2833, 543, 741, 2702, 547, 6655, 1950, 10096, 563, 4353, 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 ]
[ 4573, 4176, 593, 670, 5960, 645, 870, 344, 538, 476, 9965, 280, 269, 27439, 676, 674, 2280, 7815, 4168, 267, 513, 1895, 540, 3703, 25501, 3576, 936, 741, 1378, 6928, 538, 13889, 540, 18279, 5261, 2349, 662, 781, 10792, 2126, 269, 2991, 4259, 2349, 662, 740, 337, 3424, 538, 513, 1507, 10935, 267, 519, 4573, 710, 619, 5555, 12306, 593, 16381, 322, 1515, 333, 6816, 267, 1141, 1082, 18939, 1869, 2661, 2221, 269, 1717, 267, 1832, 538, 2247, 602, 713, 957, 3357, 609, 4049, 10751, 282, 2899, 9575, 267, 1312, 2349, 662, 543, 1010, 10121, 13794, 32170, 1524, 519, 4573, 710, 619, 543, 4547, 873, 547, 5126, 780, 5194, 4241, 2013, 3322, 2797, 26675, 543, 17611, 32025, 2864, 982, 2168, 30925, 269, 4438, 519, 12019, 2782, 5736, 267, 972, 941, 32422, 540, 2229, 931, 7032, 20874, 2966, 547, 13861, 1857, 6644, 543, 1711, 1489, 585, 4108, 6304, 269, 12344, 835, 540, 519, 1034, 669, 3739, 8320, 568, 1634, 607, 20491, 3345, 6229, 338, 267, 799, 729, 6069, 855, 2760, 5645, 856, 1282, 519, 2038, 476, 3422, 271, 338, 780, 1103, 713, 1544, 267, 772, 2529, 269, 8387, 6700, 588, 1645, 16995, 22681, 6285, 1996, 1977, 9072, 267, 1287, 1025, 5446, 18010, 547, 1628, 1857, 30891, 543, 28487, 1489, 585, 32415, 519, 6532, 4182, 269, 2755, 6038, 15653, 676, 2362, 8128, 267, 1519, 5518, 17394, 5128, 267, 519, 6071, 6228, 540, 971, 18747, 8711, 875, 1950, 543, 15491, 2152, 540, 4573, 4176, 543, 18326, 666, 581, 780, 4263, 922, 4295, 267, 4573, 4176, 543, 18326, 14974, 1524, 547, 2043, 15819, 6392, 543, 7555, 909, 585, 1018, 789, 3494, 568, 1318, 269, 6884, 891, 6411, 6565, 689, 2123, 20494, 341, 1734, 267, 1247, 1866, 8451, 1813, 547, 3677, 5837, 610, 5683, 4145, 269, 17859, 267, 1142, 3236, 3091, 3407, 4030, 883, 1480, 2470, 267, 5718, 267, 543, 519, 10347, 3666, 1063, 24150, 543, 1219, 4800, 780, 3383, 1985, 942, 596, 1265, 3054, 6849, 606, 15490, 3510, 610, 4743, 21616, 609, 2576, 538, 5279, 267, 3314, 891, 6909, 3020, 2984, 269, 1358, 7618, 721, 602, 3006, 267, 4101, 519, 4567, 28943, 3884, 1405, 1152, 12703, 1107, 621, 781, 1898, 269, 1656, 945, 6487, 286, 9320, 14693, 596, 3513, 1831, 851, 540, 513, 1650, 4502, 10213, 1932, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23330, 566, 3345, 6229, 338, 910, 3406, 2164, 454, 13706, 267, 585, 1383, 267, 519, 6381, 602, 3366, 547, 1930, 2112, 538, 10476, 269, 4340, 547, 4013, 1686, 267, 1079, 2475, 6861, 619, 1273, 13764, 538, 519, 13323, 540, 29139, 7219, 1055, 3345, 10476, 941, 9601, 540, 796, 25075, 12097, 6285, 538, 4864, 476, 3422, 275, 267, 3056, 547, 513, 18322, 1308, 6571, 4758, 5518, 9652, 519, 1379, 834, 1729, 1491, 782, 2556, 3800, 4799, 2171, 616, 3142, 547, 519, 7156, 540, 938, 3988, 713, 1651, 529, 633, 543, 5402, 19775, 2079, 676, 4516, 779, 12021, 14544, 7905, 3627, 5062, 300, 4669, 787, 563, 763, 2347, 1257, 3370, 676, 519, 4750, 540, 476, 280, 270, 1556, 5525, 666, 581, 22434, 538, 7824, 454, 265, 2608, 27661, 296, 729, 521, 1061, 673, 540, 519, 476, 280, 268, 1556, 2680, 689, 519, 1101, 942, 594, 4718, 621, 593, 8613, 269, 898, 729, 593, 1169, 2101, 3060, 1369, 3764, 269, 2353, 519, 16944, 6105, 26200, 10294, 1354, 1022, 2963, 13195, 3254, 7868, 1101, 2055, 540, 1022, 7803, 7634, 941, 2144, 1078, 269, 5808, 1185, 519, 1034, 8903, 24500, 585, 519, 2680, 286, 5808, 1185, 519, 1797, 547, 2490, 1079, 3844, 11599, 5656, 538, 1715, 3840, 883, 513, 18061, 540, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 583, 4176, 543, 31052, 542, 257, 607, 851, 540, 834, 11227, 1315, 7256, 12267, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8938, 2185, 3108, 829, 1554, 543, 689, 1018, 594, 723, 2938, 865, 2484, 6920, 602, 642, 663, 16117, 814, 4389, 563, 2005, 729, 1152, 5063, 602, 594, 8068, 602, 713, 15224, 729, 8385, 1628, 607, 513, 32446, 855, 519, 1216, 3761, 1590, 723, 1044, 6569, 607, 568, 1419, 519, 2013, 538, 25212, 563, 763, 9721, 21816, 17621, 31790, 16033, 919, 2818, 540, 519, 25212, 23394, 1228, 540, 519, 9721, 21816, 32580, 945, 10692, 543, 5747, 1282, 519, 14914, 29547, 630, 4489, 277, 264, 543, 519, 2782, 540, 14412, 630, 4489, 280, 268, 2641, 1040, 634, 15224, 20186, 513, 17199, 543, 2630, 519, 17199, 10207, 689, 9721, 13299, 543, 3504, 9721, 1686, 281, 519, 12625, 540, 519, 30683, 2103, 630, 1492, 1101, 11317, 540, 8581, 1070, 595, 1276, 592, 664, 333, 8165, 693, 519, 585, 323, 543, 519, 2669, 540, 3751, 20574, 16907, 340, 693, 1849, 2632, 541, 325, 538, 476, 6200, 275, 563, 314, 2190, 5130, 476, 1708, 736, 13912, 594, 993, 4867, 4058, 513, 1297, 540, 2749, 15143, 609, 519, 9837, 540, 7836, 513, 3018, 538, 645, 1409, 770, 267, 595, 1251, 267, 7799, 15104, 267, 8895, 3118, 267, 18741, 330, 10154, 543, 4826, 5112, 269, 594, 723, 1433, 539, 15678, 11623, 538, 519, 4126, 602, 13044, 1281, 711, 15936, 609, 1250, 4566, 269, 4653, 594, 12349, 513, 590, 3415, 476, 736, 7825, 7828, 799, 729, 31680, 676, 16402, 476, 4968, 519, 1292, 2601, 585, 3478, 713, 7828, 568, 602, 594, 6999, 547, 7494, 519, 2597, 543, 13557, 540, 519, 3937, 602, 594, 991, 512, 4163, 950, 594, 993, 21409, 543, 594, 849, 991, 1434, 1970, 1769, 2773, 563, 15578, 654, 312, 23615, 301, 5442, 21598, 2177, 307, 5508, 22413, 2177, 3201, 9169, 5442, 645, 6938, 312, 1107, 19836, 29866, 313, 2177, 631, 2177, 9331, 7728, 454, 288, 530, 344, 591, 333, 568, 513, 19416, 536, 21317, 531, 13617, 539, 15743, 2356, 13269, 609, 513, 2766, 10678, 538, 513, 14776, 268, 610, 15561, 11057, 9133, 269, 634, 530, 344, 591, 333, 538, 922, 1585, 3029, 568, 1271, 547, 1200, 12245, 787, 267, 4749, 17729, 607, 513, 544, 2444, 582, 540, 3506, 543, 18942, 6887, 454, 1103, 4395, 540, 519, 1292, 13675, 547, 519, 16011, 8065, 267, 1631, 22413, 4689, 1091, 267, 543, 6849, 1524, 6301, 9335, 568, 513, 15224, 1147, 25236, 539, 676, 513, 530, 344, 591, 333, 8066, 513, 13104, 609, 519, 645, 4599, 7571, 30160, 593, 621, 269, 634, 9207, 728, 540, 519, 16935, 568, 11840, 2299, 20077, 543, 519, 19516, 531, 267, 799, 814, 7347, 17794, 9843, 267, 814, 538, 30115, 865, 649, 9312, 621, 814, 1831, 24648, 1043, 563, 8802, 1400, 323, 645, 4599, 7571, 267, 7083, 1488, 1372, 324, 267, 729, 519, 8227, 540, 1454, 540, 519, 645, 2001, 10040, 538, 519, 476, 6642, 271, 338, 563, 8802, 1400, 323, 645, 4599, 7571, 267, 729, 606, 9721, 22267, 543, 24960, 626, 269, 1261, 568, 12617, 538, 519, 1178, 3272, 731, 540, 519, 5783, 540, 8581, 25110, 5939, 538, 519, 8498, 540, 5548, 1146, 344, 267, 6019, 654, 1157, 869, 267, 8581, 267, 2059, 609, 1010, 7385, 543, 5067, 269, 1703, 616, 930, 10754, 543, 10945, 538, 634, 3213, 558, 2041, 267, 25212, 267, 3957, 538, 1010, 22632, 281, 3204, 1400, 323, 9335, 267, 3204, 1400, 323, 12384, 543, 645, 4599, 7571, 12384, 563, 21900, 8319, 1117, 2066, 519, 12324, 689, 2274, 1460, 28309, 8402, 320, 15167, 16749, 6728, 563, 763, 2817, 5482, 710, 10158, 568, 513, 1582, 28621, 3660, 20417, 24223, 519, 2192, 1922, 730, 3460, 540, 476, 272, 267, 275, 3445, 26380, 32164, 7847, 945, 15336, 689, 853, 549, 330, 652, 1144, 5244, 547, 9635, 538, 25212, 538, 476, 7277, 278, 267, 693, 519, 4463, 540, 519, 9721, 5482, 710, 269, 2060, 922, 9159, 6106, 540, 1686, 543, 2528, 267, 519, 20417, 786, 2285, 596, 513, 5963, 15138, 1995, 269, 898, 568, 1298, 1042, 1472, 519, 3802, 540, 12964, 4458, 6040, 12253, 570, 580, 515, 1107, 835, 540, 519, 3312, 26380, 3802, 619, 689, 853, 549, 330, 652, 1144, 5244, 1107, 945, 26526, 15068, 519, 27337, 881, 3460, 547, 20563, 538, 4516, 538, 476, 7277, 278, 269, 12253, 779, 3460, 568, 556, 19960, 1441, 538, 642, 793, 22863, 2854, 676, 8366, 20421, 2278, 3057, 7534, 1230, 23127, 5336, 322, 298, 28225, 269, 1452, 616, 4448, 547, 936, 13977, 8424, 540, 476, 866, 628, 10601, 19730, 1453, 779, 10887, 954, 4944, 619, 539, 2059, 519, 8905, 799, 1711, 513, 2219, 4538, 1995, 563, 310, 21822, 5058, 307, 2177, 570, 2464, 2316, 300, 2177, 24361, 9338, 12569, 918, 301, 32052, 6789, 5990, 654, 21822, 5058, 307, 2177, 631, 2177, 9331, 7728, 5442, 623, 9816, 2894, 21197, 24315, 298, 667, 308, 13993, 2562, 454, 763, 654, 2454, 2023, 4530, 574, 11102, 729, 3710, 547, 29428, 519, 24984, 540, 14880, 4270, 525, 2917, 267, 476, 272, 560, 16099, 540, 654, 2454, 2023, 269, 654, 2454, 2023, 267, 519, 3703, 22267, 543, 2489, 267, 849, 1634, 607, 519, 2048, 27860, 16099, 8730, 729, 4535, 538, 2901, 17521, 2725, 987, 610, 25212, 269, 20323, 9709, 547, 581, 4092, 538, 8585, 337, 542, 12384, 267, 621, 729, 3710, 538, 519, 27925, 5244, 1310, 11685, 689, 519, 4009, 779, 7264, 563, 763, 1073, 601, 7416, 729, 2966, 676, 519, 4056, 11184, 7917, 3911, 597, 651, 543, 519, 5748, 6149, 729, 9788, 538, 476, 8687, 278, 269, 769, 476, 9264, 271, 621, 10443, 856, 540, 4070, 7482, 543, 4061, 7283, 4652, 31944, 2394, 476, 1240, 4873, 476, 5908, 272, 950, 621, 729, 8118, 547, 519, 1857, 269, 1703, 941, 849, 4566, 585, 513, 18533, 540, 4270, 525, 2917, 593, 7504, 3724, 855, 519, 17732, 540, 7482, 12199, 602, 856, 563, 2467, 616, 2185, 19730, 29693, 13196, 5641, 689, 28994, 976, 9676, 693, 4826, 31846, 1107, 1614, 540, 799, 723, 3182, 3645, 11269, 540, 1010, 4876, 1247, 519, 8772, 814, 606, 30115, 269, 634, 29693, 13196, 6813, 2048, 290, 2753, 543, 16241, 23068, 685, 676, 3627, 670, 25830, 267, 2048, 12850, 31846, 685, 676, 7338, 10787, 22641, 543, 519, 2048, 24465, 12668, 685, 676, 9478, 20484, 31489, 269, 634, 30115, 14509, 912, 2026, 807, 543, 2342, 267, 10710, 676, 26899, 267, 605, 8010, 12833, 4532, 1043, 538, 2112, 16815, 2669, 1652, 2012, 267, 3767, 5180, 16815, 536, 992, 519, 18523, 18073, 649, 1000, 710, 2334, 1169, 3618, 569, 18710, 949, 581, 555, 710, 269, 0, 20756, 267, 723, 596, 2479, 2219, 827, 519, 1761, 17498, 1938, 540, 5042, 2573, 19188, 286, 2755, 789, 949, 2709, 2110, 3856, 2640, 267, 972, 616, 4145, 827, 519, 1279, 3856, 4220, 789, 1223, 10460, 269, 3245, 1761, 14715, 2427, 2360, 547, 519, 1646, 540, 10892, 543, 13829, 267, 972, 616, 1896, 4128, 547, 2015, 519, 2009, 19363, 540, 891, 2573, 19188, 269, 3958, 267, 519, 3668, 540, 1279, 3856, 3106, 1239, 543, 7164, 4205, 609, 824, 6527, 2417, 1039, 547, 519, 10462, 269, 1306, 596, 5490, 883, 519, 1888, 267, 621, 781, 1898, 547, 1174, 519, 1761, 4220, 540, 8801, 5042, 2360, 543, 519, 2956, 540, 9431, 23388, 543, 5464, 269, 1924, 267, 1577, 781, 2263, 1946, 5042, 2573, 19188, 1522, 711, 581, 782, 789, 2811, 29618, 909, 547, 581, 538, 519, 1279, 2196, 563, 268, 19768, 540, 1279, 3856, 3106, 1239, 543, 9431, 23388, 12651, 7811, 4145, 827, 519, 12675, 946, 540, 5042, 2573, 19188, 563, 268, 15783, 14715, 2427, 2360, 543, 1279, 3856, 4220, 1331, 5042, 7771, 267, 3965, 2530, 267, 543, 2799, 1981, 540, 31895, 17654, 3676, 563, 268, 4886, 540, 10892, 267, 13829, 267, 543, 6219, 6057, 568, 513, 1981, 609, 2834, 946, 540, 5042, 2573, 19188, 563, 268, 32148, 4205, 609, 824, 6527, 666, 1764, 6646, 3106, 543, 12117, 267, 10223, 519, 2956, 540, 5275, 3318, 5583, 563, 299, 871, 540, 7043, 31645, 8881, 4578, 454, 2791, 991, 547, 2015, 519, 1761, 4220, 540, 5042, 2573, 19188, 1813, 547, 519, 3668, 540, 2139, 1279, 3856, 3106, 1239, 269, 11933, 3749, 4145, 723, 1044, 6659, 3823, 519, 12675, 946, 540, 5042, 2573, 19188, 1510, 6190, 1620, 540, 741, 1279, 3856, 2360, 269, 2755, 2110, 3856, 2090, 949, 6542, 3355, 3106, 267, 519, 9000, 540, 1279, 3856, 1239, 12651, 5683, 9270, 827, 519, 1761, 4220, 2043, 949, 3068, 950, 1210, 891, 2573, 19188, 936, 6905, 5712, 563, 31628, 3749, 4145, 8451, 689, 519, 1249, 602, 5042, 2573, 19188, 666, 7369, 2634, 7998, 543, 1599, 269, 9453, 1279, 3856, 3106, 1239, 267, 621, 568, 4101, 547, 3589, 875, 891, 19260, 949, 1764, 5042, 5759, 267, 7099, 7939, 267, 610, 2949, 2634, 1072, 936, 942, 269, 901, 3668, 540, 1620, 13514, 1761, 4220, 547, 2043, 945, 949, 26968, 5944, 16616, 2933, 547, 1279, 3856, 2800, 676, 1210, 5042, 2573, 19188, 1510, 7850, 1344, 827, 741, 3106, 9043, 563, 20685, 673, 9270, 2097, 883, 1404, 950, 2043, 616, 1818, 3664, 827, 1210, 5042, 2573, 19188, 269, 9453, 3102, 1279, 3856, 3106, 1239, 267, 2043, 949, 581, 8572, 547, 1683, 5483, 9844, 3823, 519, 1761, 4220, 789, 616, 23072, 269, 901, 12651, 5683, 2055, 827, 13190, 543, 519, 1318, 547, 1118, 4628, 5483, 3664, 827, 1210, 6878, 602, 1223, 723, 7164, 1279, 3856, 4539, 563, 22025, 1113, 27096, 673, 17121, 12186, 454, 2791, 1058, 581, 3222, 540, 519, 1761, 14715, 2427, 2360, 540, 5042, 2573, 19188, 267, 971, 607, 519, 1981, 540, 5042, 7771, 543, 519, 1761, 585, 32239, 19261, 269, 1452, 2427, 2360, 1223, 723, 1279, 3856, 4539, 593, 707, 2634, 1072, 543, 8647, 269, 898, 781, 1271, 547, 2015, 519, 1761, 4220, 1354, 14045, 547, 946, 5042, 2573, 19188, 563, 290, 4321, 13207, 710, 11485, 454, 2691, 6236, 519, 946, 540, 5042, 2573, 19188, 267, 621, 568, 1271, 547, 581, 3222, 540, 519, 1761, 14715, 2427, 2360, 602, 1223, 3565, 547, 5042, 7771, 936, 942, 269, 634, 1279, 3856, 4220, 2404, 609, 5042, 2573, 19188, 949, 1331, 912, 268, 15350, 2530, 281, 634, 946, 540, 5042, 2573, 19188, 1223, 5732, 1291, 547, 3965, 7771, 267, 18363, 707, 2702, 547, 11677, 543, 11291, 1344, 563, 268, 6764, 8529, 5042, 1599, 281, 1160, 14075, 539, 946, 540, 2573, 19188, 949, 1267, 538, 8519, 5042, 5759, 267, 7133, 707, 3375, 6194, 543, 1966, 9010, 1983, 563, 268, 16842, 1981, 540, 31895, 17654, 3676, 281, 2368, 2090, 2303, 602, 1978, 5042, 2573, 19188, 949, 4463, 523, 519, 1981, 540, 3384, 31895, 17654, 2175, 267, 971, 607, 12216, 781, 2068, 563, 2414, 11574, 5042, 7771, 1981, 267, 2015, 6220, 5042, 7771, 6604, 2994, 543, 3695, 4244, 5042, 19349, 2553, 602, 4225, 1279, 3856, 2634, 1072, 563, 32507, 19517, 614, 1955, 25270, 15783, 454, 8256, 18790, 5042, 2573, 19188, 267, 621, 568, 1898, 547, 1174, 519, 1761, 585, 4929, 32239, 19261, 267, 18363, 2634, 1599, 543, 5732, 3056, 547, 8801, 14715, 2427, 2360, 269, 7043, 3856, 946, 540, 5042, 2573, 19188, 949, 1291, 547, 1761, 5778, 1729, 13877, 640, 267, 27200, 519, 10347, 3666, 540, 30088, 538, 519, 2634, 269, 901, 19261, 666, 15936, 609, 3339, 5042, 1599, 267, 5732, 4611, 538, 2152, 971, 607, 15176, 3965, 267, 3007, 267, 543, 3375, 6194, 5759, 269, 5015, 267, 606, 12012, 32239, 3666, 1223, 723, 2484, 23568, 4539, 267, 7133, 7099, 7939, 543, 2949, 2790, 1134, 5630, 269, 898, 568, 2629, 547, 5431, 602, 1247, 5042, 2573, 19188, 949, 2709, 2110, 3856, 2640, 267, 741, 1761, 585, 4929, 32239, 19261, 543, 7766, 14715, 2427, 2360, 1590, 581, 5402, 2808, 267, 2523, 538, 519, 2796, 540, 1279, 3856, 946, 269, 4475, 267, 9488, 1382, 543, 2564, 15569, 616, 16122, 950, 14719, 908, 519, 946, 540, 5042, 2573, 19188, 547, 7413, 519, 1981, 540, 1761, 5778, 1729, 13877, 640, 543, 8801, 2360, 593, 5042, 1599, 563, 14946, 618, 540, 570, 16260, 543, 667, 11163, 454, 2026, 596, 3136, 3695, 519, 1761, 1279, 3856, 4220, 540, 5042, 2573, 19188, 267, 621, 781, 1271, 547, 2015, 519, 1646, 540, 10892, 543, 13829, 269, 1879, 5781, 1210, 5042, 2573, 19188, 267, 707, 1560, 949, 1628, 909, 513, 10892, 267, 3056, 547, 32033, 2360, 936, 942, 269, 901, 666, 5732, 2333, 519, 1981, 540, 6219, 6057, 543, 21341, 267, 799, 616, 1713, 4145, 950, 621, 2501, 547, 519, 1279, 3856, 946, 540, 891, 2573, 19188, 563, 307, 16260, 543, 17435, 514, 5109, 12186, 454, 3080, 1761, 1981, 540, 5042, 2573, 19188, 568, 519, 1646, 540, 10892, 543, 13829, 267, 799, 666, 1291, 547, 32033, 2360, 936, 942, 269, 1306, 596, 3136, 547, 1491, 5042, 2573, 19188, 267, 707 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 568, 513, 2256, 1392, 1222, 888, 3725, 576, 1392, 1222, 568, 513, 3656, 543, 2883, 1184, 602, 568, 15748, 950, 513, 2754, 568, 8572, 547, 2743, 922, 7963, 13800, 563, 1103, 971, 2665, 267, 513, 17956, 3841, 3218, 949, 6966, 606, 5007, 23070, 267, 1634, 607, 513, 17513, 267, 547, 1491, 1852, 540, 519, 2754, 779, 7221, 543, 4238, 269, 634, 17513, 779, 3119, 6662, 568, 547, 9156, 519, 14222, 7963, 7640, 539, 547, 519, 17956, 3841, 3218, 543, 267, 952, 2009, 267, 547, 11177, 519, 2754, 779, 2883, 1072, 454, 763, 11283, 725, 2920, 476, 1220, 272, 630, 290, 628, 264, 5036, 856, 519, 7060, 540, 519, 17513, 543, 519, 1931, 540, 8569, 547, 5491, 832, 269, 898, 568, 1271, 547, 4063, 602, 513, 2256, 1392, 1222, 5163, 568, 1114, 689, 28153, 267, 607, 621, 6212, 593, 17956, 7221, 543, 1281, 711, 8209, 1291, 547, 2347, 1202, 565, 1597, 1097, 563, 2252, 707, 2754, 568, 6849, 2883, 11605, 267, 621, 568, 1271, 547, 3343, 3318, 3656, 5796, 547, 1174, 707, 3681, 543, 2149, 707, 4690, 269, 589, 7963, 15818, 666, 948, 596, 547, 2708, 707, 3510, 543, 1020, 513, 1544, 547, 4383, 707, 7963, 563, 3725, 576, 1392, 1222, 5288, 10029, 5288, 700, 1172, 9179, 454, 1103, 2053, 540, 2883, 11605, 267, 3549, 949, 1265, 2933, 6236, 1114, 2994, 547, 2232, 741, 2883, 2591, 269, 25547, 1392, 1222, 267, 7245, 267, 543, 5277, 566, 616, 1614, 1455, 4485, 267, 1142, 7674, 3982, 5301, 269, 25547, 1392, 1222, 3322, 519, 13393, 540, 513, 17513, 547, 9156, 22440, 585, 17956, 5491, 832, 543, 4383, 519, 2754, 779, 7221, 269, 10029, 568, 8179, 950, 519, 2754, 814, 513, 14323, 4960, 540, 6051, 267, 543, 606, 23070, 568, 12912, 547, 1964, 4450, 4238, 543, 21907, 609, 8639, 269, 2201, 519, 824, 1688, 267, 5277, 566, 4386, 950, 519, 2754, 568, 1202, 565, 1203, 543, 14122, 23090, 909, 12602, 543, 26084, 7221, 547, 5491, 832, 269, 4197, 519, 3604, 1063, 891, 3681, 568, 1898, 585, 4213, 547, 1118, 5483, 3664, 543, 6330, 998, 2883, 7965, 3927, 269, 16418, 532, 3318, 5796, 666, 2417, 4217, 538, 8159, 519, 1034, 5078, 1935, 585, 1142, 2189, 3510, 563, 1432, 616, 519, 2640, 888, 3725, 576, 1392, 1222, 666, 2709, 1896, 2640, 538, 1978, 3510, 267, 1312, 585, 519, 5491, 832, 543, 519, 2754, 6849, 2883, 11605, 269, 2368, 540, 519, 1883, 2640, 540, 2256, 1392, 1222, 1331, 912, 268, 2667, 564, 4027, 281, 25547, 1392, 1222, 2636, 585, 519, 3608, 543, 2500, 2359, 540, 513, 2754, 779, 7221, 267, 4180, 789, 616, 6870, 543, 12873, 1282, 2053, 540, 2883, 7411, 563, 268, 32124, 6051, 281, 634, 13393, 540, 513, 17513, 16881, 519, 6051, 540, 14222, 22440, 7640, 539, 547, 17956, 5491, 832, 267, 2810, 519, 10171, 540, 3478, 741, 2724, 1394, 563, 268, 12333, 2359, 281, 589, 17513, 568, 3335, 513, 11727, 3318, 609, 6791, 538, 5883, 1253, 5962, 3549, 267, 799, 666, 1291, 547, 1732, 3375, 6194, 543, 4824, 2883, 2773, 563, 268, 8033, 8462, 281, 25547, 1392, 1222, 666, 948, 2226, 1870, 15364, 543, 4238, 267, 4180, 602, 5520, 267, 5561, 267, 543, 14273, 616, 711, 16094, 22314, 563, 268, 3690, 10337, 281, 634, 17513, 779, 1909, 568, 547, 957, 538, 519, 1655, 4690, 540, 782, 8639, 267, 8744, 11413, 547, 519, 2883, 12602, 540, 519, 2754, 543, 922, 7221, 563, 268, 2667, 564, 12871, 281, 25547, 1392, 723, 519, 6392, 547, 6133, 610, 5277, 622, 7221, 267, 3850, 585, 513, 811, 29765, 543, 6896, 1184, 540, 16734, 1871, 689, 519, 2754, 779, 3180, 902, 563, 268, 13751, 4027, 281, 1280, 17956, 5491, 832, 267, 6966, 532, 513, 17513, 2488, 3656, 4027, 543, 2337, 5150, 741, 4690, 538, 2013, 540, 9949, 563, 268, 32124, 6571, 281, 769, 930, 2665, 267, 2256, 1392, 1222, 666, 1291, 547, 519, 556, 10864, 582, 2747, 540, 7963, 543, 2883, 1964, 31382, 267, 3850, 519, 2754, 547, 22919, 6617, 563, 268, 31478, 6571, 281, 25547, 1392, 1222, 666, 1683, 513, 5488, 543, 811, 3608, 6571, 547, 2883, 11605, 3379, 547, 824, 3656, 3157, 563, 268, 12333, 6791, 281, 25547, 1392, 616, 3335, 4648, 4810, 538, 7829, 1950, 2883, 3871, 267, 3246, 513, 1377, 540, 6791, 602, 666, 581, 6225, 585, 782, 6105, 3238, 563, 2005, 568, 1271, 547, 4063, 602, 1247, 2256, 1392, 1222, 666, 2709, 5383, 538, 1808, 3871, 267, 621, 568, 849, 513, 6101, 3656, 1184, 602, 949, 723, 6286, 585, 519, 2754, 267, 922, 8639, 267, 543, 922, 2104, 16548, 563, 8005, 13668, 513, 2256, 1392, 1222, 888, 3725, 576, 1392, 1222, 568, 3335, 16761, 676, 513, 17956, 3841, 3218, 267, 971, 607, 513, 561, 2658, 267, 950, 513, 2754, 8188, 2883, 11605, 543, 3112, 2743, 922, 7963, 13800, 269, 634, 17956, 3841, 3218, 11394, 547, 2149, 922, 4690, 676, 6966, 532, 513, 17513, 547, 1491, 1852, 540, 519, 2754, 779, 7221, 543, 4383, 922, 12602, 267, 609, 519, 2832, 540, 23232, 519, 14222, 7963, 269, 769, 930, 2665, 267, 513, 2754, 779, 19971, 610, 23265, 949, 849, 7662, 513, 17513, 779, 13393, 563, 1432, 1281, 2469, 883, 2256, 1392, 1222, 1611, 888, 7883, 532, 883, 2256, 1392, 1222, 1797, 602, 513, 2754, 6849, 2883, 7965, 814, 1044, 5116, 896, 519, 1852, 540, 513, 17513, 12912, 676, 513, 17956, 3841, 3218, 269, 634, 17513, 779, 1909, 568, 547, 4383, 519, 2754, 779, 7221, 543, 4238, 609, 519, 6662, 540, 23232, 519, 3841, 3218, 779, 14222, 7963, 543, 267, 952, 2009, 267, 19620, 519, 2754, 779, 2883, 1072, 563, 293, 3985, 3493, 21627, 15928, 15278, 2256, 1392, 1222, 1184, 454, 763, 674, 291, 2975, 2256, 1392, 1222, 1184, 568, 513, 2629, 2460, 540, 519, 12948, 2872, 267, 4180, 519, 1931, 569, 6571, 540, 8959, 8492, 543, 7863, 7263, 6002, 269, 1879, 513, 4871, 14543, 267, 519, 674, 291, 2975, 568, 12912, 607, 519, 17513, 547, 1491, 1852, 540, 922, 7221, 543, 4238, 269, 4438, 519, 2256, 1392, 1222, 1184, 267, 519, 674, 291, 2975, 1568, 547, 6133, 610, 4483, 519, 8959, 4871, 779, 7221, 547, 1776, 2883, 9872, 267, 4180, 15364, 585, 5561, 269, 30027, 3585, 267, 519, 674, 291, 2975, 2488, 16005, 6142, 3795, 547, 2149, 14718, 7263, 6002, 267, 909, 547, 519, 1202, 3293, 3970, 269, 901, 3608, 543, 12001, 1184, 2337, 2226, 1857, 6015, 538, 519, 12948, 1062, 543, 16102, 2883, 6617, 563, 293, 291, 2975, 6498, 540, 21368, 543, 2256, 1392, 4721, 454, 763, 8549, 3493, 21627, 15928, 15278, 10406, 540, 1763, 30055, 543, 25547, 1392, 4721, 4249, 513, 2565, 1909, 538, 519, 12948, 2872, 676, 5883, 519, 6571, 1184, 540, 8959, 2883, 5238, 269, 1879, 513, 4871, 14543, 267, 713, 6498, 568, 3743, 585, 9117, 607, 519, 17513, 267, 14322, 1852, 540, 519, 4871, 779, 7221, 543, 20824, 269, 898, 29367, 1568, 547, 2327, 519, 3608, 543, 1931, 569, 29916, 540, 891, 7221, 1247, 7863, 519, 4690, 540, 7263, 6002, 543, 5491, 832, 269, 1635, 23939, 7829, 519, 2256, 1392, 1222, 1184, 267, 519, 630, 293, 291, 2975, 264, 10406, 540, 1763, 30055, 543, 25547, 1392, 4721, 2337, 2226, 6617, 538, 519, 2883, 5823, 543, 28863, 519, 8699, 540, 519, 16005, 6142, 1062, 267, 1128, 3739, 6015, 538, 1312, 7263, 6002, 543, 9520, 563, 1432, 568, 606, 1931, 540, 2256, 1392, 1222, 888, 2304, 1931, 540, 2256, 1392, 1222, 568, 513, 6101, 5480, 1463, 633, 602, 6966, 338, 513, 17513, 547, 1491, 1852, 540, 513, 2754, 779, 7221, 543, 4238, 269, 898, 568, 3335, 9783, 950, 513, 2754, 568, 538, 2883, 11605, 610, 6849, 1202, 565, 1597, 1097, 269, 634, 17513, 779, 3119, 10279, 568, 547, 2149, 519, 4690, 540, 5491, 832, 543, 8639, 676, 5883, 543, 21924, 519, 1871, 540, 519, 2754, 779, 7221, 267, 2901, 585, 513, 1761, 1964, 31382, 610, 5277, 566, 1184, 269, 634, 17513, 6411, 607, 513, 9243, 5428, 267, 2324, 896, 519, 5480, 779, 15569, 547, 2327, 513, 4023, 543, 1931, 569, 6571, 540, 519, 2754, 779, 2883, 2591, 563, 1692, 1279, 798, 2256, 1392, 4721, 2063, 888, 763, 8653, 540, 2256, 1392, 4721, 666, 4268, 4470, 593, 519, 6381, 543, 6988, 540, 519, 3510, 269, 769, 930, 2665, 267, 513, 2256, 1392, 1222, 949, 2063, 1152, 513, 1906, 3275, 952, 519, 17513, 568, 12912, 547, 2347, 513, 1808, 4305, 610, 5277, 622, 7221, 269, 1717, 267, 538, 811, 1950, 2665, 267, 2256, 1392, 4721, 666, 2063, 585, 1896, 1296, 267, 2523, 952, 519, 3804, 568, 547, 1964, 4450, 519, 2754, 610, 6133, 922, 7221, 547, 11694, 1871, 585, 5491, 832, 269, 634, 3259, 540, 519, 2256, 1392, 1222, 568, 3335, 5462, 676, 519, 5480, 543, 666, 581, 6905, 610, 2165, 3990, 1759, 593, 519, 3356, 540, 519, 17513, 779, 4247, 543, 519, 2949, 6859, 540, 519, 2013, 563, 1432, 616, 2256, 1392, 1222, 268, 879, 2388, 888, 1607, 4016, 547, 606, 25488, 1184, 5342, 676, 513, 5480, 22190, 31212, 17513, 547, 6133, 1055, 7221, 610, 3601, 540, 513, 20019, 30223, 610, 1202, 565, 1203, 2754, 269, 1358, 616, 2966, 547, 2327, 513, 4023, 543, 12001, 9042, 540, 7221, 538, 1931, 547, 11694, 519, 6051, 585, 5491, 832, 543, 824, 8639, 269, 634, 1292, 3804, 568, 547, 14183, 14222, 22440, 543, 13800, 543, 547, 2842, 1524, 519, 12602, 540, 519, 20019, 30223, 2754, 538, 606, 1931, 569, 6073, 563, 1607, 1184, 3335, 1246, 713, 2497, 912, 268, 7040, 13393, 281, 1879, 513, 2754, 568, 8572, 547, 2743, 922, 13800, 267, 513, 3841, 3218, 267, 2671, 14516, 267, 610, 824, 5461, 5428, 949, 3758, 513, 3656, 21936, 5275, 519, 13393, 540, 513, 17513, 269, 1403, 519, 5480, 23216, 602, 2256, 1392, 1222, 568, 3617, 267, 621, 6966, 338, 513, 17513, 267, 945, 568, 1419, 513, 11727, 3318, 971, 607, 606, 18607, 610, 606, 2272, 656, 563, 268, 2667, 564, 6268, 281, 634, 17513, 779, 1101, 4305, 568, 547, 2708, 519, 2754, 779, 2883, 3510, 543, 2697, 922, 7221, 269, 1452, 7221, 949, 1331, 1483, 10040, 267, 3937, 267, 11891, 267, 7214, 3959, 267, 610, 1022, 824, 3407, 3180, 902, 563, 268, 16373, 543, 25488, 281, 634, 17513, 786, 1287, 10891, 606, 25488, 547, 6133, 519, 2754, 779, 7221, 547, 5461, 18046, 269, 634, 25488, 1184, 949, 581, 5342, 538, 1268, 610, 2228, 267, 4470, 593, 519, 6381, 563, 268, 645, 27570, 543, 9042, 281, 4438, 519, 25488, 267, 1761, 18046, 10505, 741, 536, 1749, 585, 519, 7221, 269, 634, 5207, 536, 1342, 518, 585, 1142, 10697, 610, 3959, 17993, 519, 25488, 543, 3587, 519, 1007, 8227, 540, 602, 10697, 1310, 11264, 519, 2556, 8569, 543, 12319, 563, 268, 17392, 540, 23131, 281, 634, 23131, 689, 519, 25488, 616, 1287, 1031, 547, 23231, 5491, 832, 543, 8639, 2687, 547, 741, 10862, 538, 519, 7963, 15796, 269, 27116, 3293, 5491, 832, 2356, 4309, 8569, 1101, 267, 4553, 676, 796, 5913, 3293, 5491, 832, 267, 23265, 267, 543, 824, 6105, 609, 6811, 1996, 519, 2754, 563, 1692, 547, 1831, 513, 5480, 12912, 17513, 454, 6826, 5765, 513, 5480, 22190, 31212, 17513, 3340, 513, 4999, 540, 3656, 6791, 267, 2883, 1035, 18210, 267, 543, 513, 8810, 3950, 2594, 538, 5883, 1253, 5962, 7221, 269, 1677, 7832, 593, 713, 4876, 2619, 267, 2043, 3335, 991, 547, 3180, 513, 1876, 4110, 543, 581, 15861, 547, 2259, 607, 606, 18607, 269, 717, 8724, 1995, 538, 5010, 1876, 267, 28153, 267, 543, 1202, 565, 1597, 1097, 18659, 568, 3810, 6225, 269, 16952, 20340, 971, 607, 26133, 6184, 565, 1597, 1097, 543, 10163, 31382, 20180, 528, 630, 5746, 6938, 264, 610, 26133, 12414, 19925, 12333, 630, 6311, 303, 264, 22754, 666, 3986, 17258, 269, 8490, 513, 3060, 1369, 519, 3656, 543, 2883, 2950, 543, 15386, 513, 1686, 540, 3811, 10697, 2359, 786, 2333, 519, 10171, 540, 1373, 2808, 585, 5480, 22190, 31212, 17513, 5107, 269, 898, 568, 1898, 547, 3251, 8242, 609, 4143, 4031, 543, 6042, 543, 7119, 538, 11173, 2069, 3292, 547, 3251, 8013, 538, 713, 2027, 2213, 2361, 563, 1432, 4523, 950, 513, 17513, 568, 12912, 547, 513, 3959, 888, 2691, 513, 17513, 568, 12912, 547, 513, 3959, 267, 789, 8263, 1852, 543, 2359, 593, 15773, 540, 519, 561, 2658, 610, 3841, 3218, 269, 4256, 1292, 6662, 568, 547, 16102, 519, 3841, 3218, 779, 4690, 543, 11694, 519, 3959, 779, 1871, 269, 1358, 1491, 15896, 540, 519, 3959, 267, 6218, 922, 2783, 267, 543, 949, 1685, 2556, 5826, 269, 634, 17513, 25173, 23934, 4747, 610, 19614, 547, 3382, 9276, 543, 23231 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 513, 10709, 28693, 3037, 1058, 581, 1031, 607, 513, 14041, 267, 20979, 609, 5070, 543, 23419, 11491, 2737, 563, 1432, 568, 519, 7454, 5384, 585, 31896, 5600, 548, 2131, 888, 2690, 2777, 548, 4060, 538, 11149, 267, 9544, 942, 568, 2429, 519, 3395, 4005, 269, 769, 1931, 547, 1683, 519, 1655, 2175, 585, 519, 4620, 924, 543, 11495, 21064, 547, 1376, 1272, 267, 649, 4363, 4989, 270, 9802, 543, 5181, 270, 19751, 607, 519, 4998, 9544, 942, 563, 19324, 2403, 538, 3141, 2914, 1301, 15489, 3037, 267, 513, 1762, 2777, 548, 2131, 3533, 3217, 3597, 547, 9983, 609, 513, 16036, 538, 519, 2034, 610, 3791, 1032, 540, 7555, 563, 2691, 568, 10046, 1359, 5384, 585, 5600, 548, 4060, 888, 5804, 4873, 547, 519, 1439, 540, 5147, 267, 519, 3043, 610, 11909, 4870, 2803, 12412, 14380, 1657, 519, 15999, 6978, 887, 3553, 5052, 269, 634, 3141, 333, 1512, 519, 4087, 267, 519, 811, 10477, 519, 4159, 540, 2582, 610, 5595, 5810, 563, 2710, 711, 2759, 1055, 519, 18854, 22363, 4870, 2803, 12412, 1932, 2038, 267, 1317, 519, 6079, 9843, 849, 723, 513, 1360, 16560, 1198, 269, 4595, 693, 519, 1439, 540, 519, 15496, 1974, 519, 3003, 887, 3553, 974, 10523, 267, 596, 666, 4894, 621, 2059, 609, 519, 18854, 22363, 8768, 31537, 563, 7468, 12941, 5600, 548, 2131, 7743, 569, 454, 4263, 519, 8289, 540, 546, 664, 1399, 2777, 548, 4060, 267, 1100, 835, 14659, 547, 3914, 585, 23805, 1934, 269, 901, 568, 513, 1434, 3364, 1317, 891, 17506, 10118, 798, 711, 917, 3337, 543, 5826, 18309, 563, 2691, 519, 1101, 543, 1152, 8768, 5526, 693, 476, 273, 547, 476, 274, 1296, 2025, 267, 18309, 568, 849, 856, 540, 519, 2243, 269, 2311, 519, 1439, 540, 519, 15496, 1974, 267, 519, 887, 3553, 974, 602, 3812, 519, 4870, 2803, 12412, 10523, 563, 7230, 913, 922, 3788, 4625, 689, 519, 3037, 267, 6028, 519, 15231, 22534, 543, 6281, 887, 3553, 5052, 2150, 31189, 267, 607, 15496, 568, 4397, 1934, 519, 1739, 1032, 563, 2791, 786, 10355, 1305, 856, 547, 1216, 513, 2777, 548, 2131, 609, 707, 14450, 666, 538, 1688, 269, 634, 30362, 25798, 2030, 814, 922, 1378, 1216, 13111, 267, 799, 621, 25361, 909, 538, 24925, 12405, 547, 2721, 593, 538, 2053, 540, 10980, 563, 1103, 4334, 547, 10980, 267, 1216, 8421, 3101, 267, 593, 519, 824, 1688, 267, 3123, 9645, 2042, 269, 4475, 267, 1216, 519, 2777, 548, 2131, 1152, 538, 11108, 2665, 267, 950, 1272, 18446, 10980, 7173, 5661, 563, 293, 23459, 1944, 5600, 548, 2131, 7743, 569, 454, 293, 23459, 1944, 538, 1022, 1106, 791, 4202, 519, 21755, 543, 2681, 6888, 540, 2777, 548, 4060, 269, 901, 568, 3020, 1312, 538, 519, 5127, 543, 538, 519, 1494, 563, 2252, 3606, 5567, 1205, 547, 519, 2777, 548, 2131, 267, 3170, 1084, 532, 2208, 2164, 267, 10483, 676, 1055, 12258, 528, 543, 4232, 269, 769, 519, 1544, 614, 267, 12054, 704, 341, 643, 636, 786, 4309, 606, 7850, 7061, 540, 5567, 952, 1065, 582, 1540, 1169, 865, 1419, 538, 513, 4195, 14041, 563, 2691, 621, 2501, 547, 7670, 5793, 532, 267, 519, 2777, 548, 2131, 2899, 1586, 18327, 602, 621, 568, 835, 540, 519, 15864, 17506, 10118, 547, 1416, 585, 269, 769, 519, 5127, 267, 519, 2777, 548, 2131, 3470, 1161, 519, 4411, 4005, 1510, 2027, 8825, 3800, 563, 18744, 538, 519, 8685, 610, 2545, 935, 344, 4216, 267, 649, 4363, 2921, 519, 1739, 15416, 865, 602, 519, 3597, 3440, 1281, 711, 19068, 998, 912, 268, 6969, 519, 1101, 15470, 267, 1747, 519, 1544, 614, 538, 4395, 540, 519, 5045, 3774, 540, 519, 2777, 593, 513, 11308, 3625, 563, 268, 15147, 519, 8685, 610, 1544, 614, 4216, 5394, 569, 609, 19389, 16833, 563, 2710, 711, 3142, 519, 2370, 5898, 883, 519, 2777, 267, 1317, 621, 786, 711, 7639, 972, 269, 8307, 538, 606, 796, 515, 730, 267, 6505, 25880, 267, 972, 616, 16548, 540, 3478, 998, 519, 5162, 2635, 563, 6524, 513, 2777, 548, 2131, 6238, 922, 3803, 1272, 9740, 538, 519, 1106, 540, 513, 8768, 267, 519, 2030, 814, 2907, 3144, 1416, 540, 922, 1378, 15556, 563, 305, 684, 2996, 543, 8250, 887, 3553, 5052, 8853, 538, 519, 7525, 1604, 865, 602, 936, 519, 1296, 513, 10053, 12054, 704, 341, 643, 636, 24095, 10953, 538, 519, 5127, 543, 8685, 269, 1452, 15556, 1118, 5140, 18640, 1570, 563, 2080, 779, 875, 547, 29608, 2777, 548, 2131, 1318, 912, 268, 634, 1655, 942, 585, 3543, 894, 18640, 568, 5614, 563, 268, 9484, 26147, 4628, 268, 11526, 6281, 887, 3553, 5052, 689, 519, 3993, 2030, 563, 268, 9255, 538, 519, 3819, 1606, 22929, 3037, 693, 519, 1007, 4087, 543, 1216, 21066, 563, 2690, 18640, 267, 28729, 946, 8250, 887, 3553, 5052, 602, 616, 6508, 689, 513, 3993, 2030, 602, 568, 693, 2547, 1079, 1296, 2025, 269, 1452, 616, 2919, 2614, 547, 7639, 519, 2566, 540, 9668, 1510, 3441, 563, 31359, 548, 2131, 538, 513, 8000, 454, 10303, 2777, 548, 4060, 2154, 4195, 2011, 543, 519, 4411, 17003, 540, 5162, 585, 24526, 2208, 267, 789, 616, 5667, 340, 3386, 607, 2777, 17852, 538, 17428, 563, 4322, 17506, 10118, 1118, 909, 585, 713, 2110, 5765, 676, 16561, 3592, 1022, 8708, 607, 513, 1753, 267, 607, 1279, 607, 621, 814, 1216, 12775, 563, 13295, 267, 519, 2777, 548, 2131, 814, 2907, 1044, 19481, 538, 2025, 10887, 267, 883, 799, 513, 2370, 3037, 729, 796, 576, 516, 3000, 13124, 23953, 269, 769, 771, 4310, 11547, 8685, 338, 267, 12054, 704, 341, 643, 636, 740, 27163, 519, 32119, 4677, 563, 763, 4674, 585, 519, 1416, 666, 581, 18886, 593, 835, 1688, 912, 268, 8307, 1216, 513, 2370, 950, 972, 568, 1100, 4764, 585, 513, 9645, 942, 563, 268, 589, 5264, 548, 2131, 609, 6632, 3952, 23366, 10523, 563, 268, 674, 23459, 1944, 543, 18309, 616, 711, 2556, 585, 2777, 548, 4060, 563, 2252, 5162, 568, 693, 519, 4677, 10766, 267, 1747, 519, 1494, 593, 513, 3625, 540, 3574, 610, 513, 4874, 560, 344, 16867, 6656, 269, 595, 2642, 609, 19389, 16833, 267, 519, 21064, 19388, 619, 538, 519, 1930, 2011, 267, 607, 519, 4411, 17003, 8309, 3648, 547, 922, 21755, 563, 2252, 538, 8969, 267, 4163, 519, 1494, 883, 606, 796, 515, 730, 267, 6505, 25880, 610, 1747, 621, 538, 513, 4411, 4216, 2394, 5162, 814, 1185, 1010, 1259, 563, 3674, 5600, 548, 2131, 7313, 2581, 748, 888, 7712, 519, 5664, 12698, 267, 2777, 548, 2131, 814, 1044, 1031, 538, 1082, 2081, 607, 606, 25798, 267, 16392, 267, 543, 1426, 2030, 269, 4634, 519, 19416, 12115, 518, 267, 562, 684, 267, 543, 23920, 670, 843, 1122, 731, 540, 29078, 523, 26916, 519, 2647, 2039, 540, 2360, 585, 22074, 540, 782, 5686, 563, 13295, 267, 519, 3407, 5820, 12115, 2960, 8886, 725, 267, 14867, 17236, 267, 9004, 530, 11301, 267, 543, 616, 1256, 1767, 547, 957, 1996, 18555, 1145, 269, 4475, 267, 972, 666, 581, 1100, 2243, 540, 20715, 1543, 538, 12054, 704, 341, 643, 636, 563, 1432, 3657, 519, 7454, 31896, 14313, 2060, 5600, 548, 2131, 888, 763, 535, 2607, 531, 2777, 548, 2131, 7718, 919, 1169, 10703, 22133, 8708, 609, 922, 22539, 887, 3553, 5052, 269, 1280, 2899, 267, 1085, 712, 519, 3003, 2777, 267, 782, 519, 1259, 909, 547, 519, 1140, 545, 269, 16731, 7904, 320, 6990, 543, 25447, 4023, 338, 563, 2171, 723, 7396, 930, 540, 519, 1034, 4190, 9544, 2093, 585, 596, 1934, 912, 268, 769, 606, 25447, 890, 342, 614, 751, 777, 582, 563, 268, 17179, 519, 14950, 3429, 689, 513, 11381, 267, 6445, 538, 519, 3037, 267, 543, 2030, 513, 2777, 548, 2131, 563, 268, 19130, 519, 17208, 2427, 540, 513, 8122, 22739, 609, 14041, 543, 7696, 2777, 548, 4060, 563, 268, 22417, 23987, 11256, 31781, 883, 1544, 1562, 563, 268, 3629, 513, 1804, 17078, 548, 609, 1216, 12775, 543, 2030, 621, 609, 2777, 548, 4060, 563, 21615, 749, 5109, 2025, 16463, 10887, 609, 2777, 548, 4060, 814, 1831, 513, 5929, 269, 0, 13349, 9791, 12456, 1345, 569, 2037, 718, 698, 2742, 2166, 987, 9528, 636, 454, 763, 5871, 9791, 12456, 1345, 569, 568, 1776, 10731, 2249, 269, 1656, 621, 568, 1360, 2147, 547, 519, 10897, 675, 12456, 1345, 569, 269, 634, 1079, 2249, 666, 581, 5143, 6306, 3362, 1498, 950, 16889, 269, 18391, 689, 1657, 2628, 3007, 547, 519, 16287, 593, 519, 476, 273, 526, 10126, 269, 634, 16287, 593, 519, 5871, 9791, 12456, 1345, 569, 5654, 899, 513, 547, 611, 560, 944, 267, 519, 16287, 593, 519, 10897, 675, 12456, 1345, 569, 5654, 899, 513, 772, 610, 7504, 21489, 269, 1879, 3168, 693, 519, 2427, 540, 519, 3662, 649, 1294, 519, 5871, 9791, 12456, 1345, 569, 814, 1175, 835, 3109, 1899, 593, 519, 5247, 1314, 267, 1141, 782, 824, 2481, 1345, 15533, 723, 1079, 269, 634, 1769, 2694, 616, 2141, 4544, 538, 9038, 269, 769, 8951, 2705, 519, 1769, 2694, 949, 581, 4544, 267, 3039, 267, 6960, 610, 5835, 269, 13575, 519, 2831, 2268, 930, 476, 1789, 547, 476, 3607, 6515, 267, 8757, 513, 12209, 3966, 540, 909, 547, 476, 4343, 6515, 269, 901, 1797, 789, 616, 827, 519, 1482, 2450, 607, 519, 10897, 675, 12456, 1345, 569, 563, 300, 2297, 10544, 519, 8951, 547, 1118, 513, 20282, 8868, 269, 634, 5798, 616, 9788, 538, 713, 2990, 1932, 269, 12339, 2297, 2322, 519, 9133, 540, 741, 2766, 896, 1216, 547, 16005, 519, 5798, 593, 519, 6565, 540, 513, 2030, 1175, 2630, 519, 2627, 269, 1358, 798, 711, 979, 14015, 7357, 267, 899, 519, 8951, 540, 930, 824, 2249, 798, 269, 634, 562, 8233, 338, 3548, 1507, 14015, 7068, 269, 1358, 18214, 909, 519, 6565, 540, 513, 2030, 1657, 519, 2627, 547, 22285, 883, 519, 2937, 2481, 1345, 569, 269, 769, 27804, 1181, 2342, 1079, 14981, 513, 1032, 2049, 269, 769, 6628, 543, 1034, 540, 8832, 543, 6239, 2342, 972, 568, 835, 9742, 513, 1032, 267, 1256, 1498, 538, 1082, 2665, 519, 12586, 9366, 7670, 26262, 896, 1216, 267, 2495, 972, 568, 835, 9742, 1169, 1079, 1296, 563, 1607, 2249, 568, 1360, 1455, 782, 936, 2342, 543, 949, 581, 10731, 693, 1978, 6753, 269, 20661, 616, 2938, 689, 519, 1439, 540, 4989, 547, 519, 1439, 540, 5181, 267, 855, 519, 2249, 568, 1034, 3875, 538, 4873, 267, 5147, 543, 4864, 269, 769, 519, 5377, 4605, 616, 1079, 2249, 269, 2201, 519, 2451, 513, 1360, 1762, 5871, 9791, 12456, 1345, 569, 1373, 13881, 676, 606, 8449, 1762, 9791, 26904, 12456, 1345, 569, 269, 0, 13233, 3859, 5692, 630, 10064, 300, 264, 729, 9250, 593, 476, 1556, 628, 5130, 476, 1001, 271, 676, 5449, 11788, 10579, 2494, 332, 2129, 534, 19453, 269, 898, 729, 606, 11036, 676, 519, 4095, 6554, 547, 3895, 3235, 10999, 4264, 2208, 1247, 849, 5466, 3127, 779, 1648, 2591, 269, 634, 3077, 540, 713, 5692, 729, 547, 3035, 476, 736, 28047, 540, 1379, 676, 476, 1708, 273, 269, 13536, 267, 621, 729, 2799, 547, 476, 1911, 28047, 676, 11788, 10579, 715, 732, 526, 571, 3525, 328, 538, 476, 1001, 276, 563, 13233, 9891, 17030, 267, 729, 1305, 547, 581, 5645, 856, 538, 1614, 11775, 912, 268, 18001, 16927, 630, 1001, 271, 268, 1001, 274, 2567, 634, 3077, 729, 547, 1305, 909, 476, 272, 267, 1822, 24448, 7470, 268, 8588, 3859, 2371, 267, 476, 1911, 24448, 540, 31241, 641, 543, 1507, 3859, 2371, 543, 476, 1220, 24448, 1055, 3766, 5090, 3859, 3156, 563, 268, 18001, 4083, 630, 1001, 274, 268, 1001, 278, 2567, 634, 2832, 540, 519, 2034, 5123, 540, 519, 5692, 729, 547, 3888, 476, 6110, 271, 268, 1911, 876, 24448, 10626, 7470, 1379, 267, 1519, 31241, 641, 543, 476, 1911, 271, 24448, 1055, 3766, 5090, 3859, 3156, 563, 268, 18001, 268, 7656, 630, 1001, 278, 268, 1708, 273, 2567, 634, 5123, 1614, 3077, 729, 547, 1305, 909, 476, 736, 2929, 13483, 7397, 540, 3859, 8143, 19216, 267, 476, 1220, 271, 24448, 540, 1055, 3766, 5090, 3859, 3156, 543, 476, 1220, 876, 24448, 540, 7470, 1379, 267, 1519, 31241, 641, 543, 1507, 2371, 563, 5649, 811, 281, 26836, 1695, 22611, 531, 3026, 327, 745, 2817, 9891, 17030, 630, 4942, 848, 594, 267, 4083, 543, 8633, 994, 6097, 547, 5359, 267, 538, 476, 1708, 273, 3127, 1631, 6763, 693, 476, 8618, 28047, 3859, 1379, 4390, 7508, 519, 476, 1911, 28047, 4390, 676, 476, 2412, 28047, 269, 634, 3077, 540, 6721, 476, 18231, 28047, 540, 3859, 14617, 5201, 676, 476, 10711, 271, 568, 849, 1305, 547, 4413 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14465, 31427, 14086, 538, 20622, 539, 1849, 2086, 6658, 2668, 8940, 269, 4565, 7112, 6199, 2593, 269, 8158, 476, 1015, 4989, 476, 1001, 280, 269, 2755, 3624, 729, 2899, 1753, 547, 827, 476, 3583, 2600, 540, 11670, 5599, 543, 476, 3445, 2600, 540, 23194, 267, 8128, 723, 530, 3042, 513, 5176, 1079, 4458, 5859, 547, 16756, 519, 21888, 2872, 8015, 4145, 936, 23019, 18616, 267, 12611, 543, 3653, 995, 1648, 4616, 563, 763, 3902, 540, 3787, 23915, 814, 8854, 998, 9979, 540, 7071, 543, 28595, 5219, 547, 676, 930, 607, 18616, 543, 11861, 338, 269, 769, 476, 1001, 272, 267, 519, 1871, 540, 835, 19682, 6385, 9782, 689, 827, 2475, 259, 271, 269, 1789, 547, 2475, 259, 3953, 1354, 13059, 547, 2475, 259, 273, 269, 769, 519, 8545, 3368, 540, 476, 1001, 273, 543, 1282, 519, 476, 1001, 273, 1700, 1724, 595, 2988, 686, 582, 2883, 6433, 267, 519, 19682, 3902, 3459, 547, 4473, 267, 8757, 513, 1164, 540, 2475, 259, 29214, 593, 476, 1015, 4989, 476, 1001, 274, 267, 1354, 1835, 4770, 547, 1472, 2475, 259, 2004, 269, 2201, 476, 3066, 5437, 476, 1001, 274, 267, 519, 1942, 540, 835, 19682, 9782, 547, 513, 8445, 540, 2475, 259, 272, 267, 26237, 269, 769, 476, 1001, 275, 267, 519, 3902, 8593, 25921, 267, 543, 607, 540, 4989, 7283, 20158, 693, 2370, 811, 982, 3368, 476, 1001, 274, 5777, 269, 1306, 540, 4864, 476, 1001, 275, 621, 729, 896, 2475, 259, 7785, 269, 4438, 741, 942, 607, 19682, 9367, 267, 717, 822, 514, 1656, 637, 523, 543, 19375, 670, 792, 333, 19230, 602, 18616, 949, 2049, 563, 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, 292, 20273, 729, 9307, 693, 519, 3345, 1977, 11670, 10985, 538, 24543, 267, 538, 5130, 267, 476, 1001, 275, 269, 4438, 519, 1482, 942, 607, 519, 10554, 267, 513, 1895, 540, 1004, 10519, 539, 513, 2777, 538, 24543, 281, 717, 822, 514, 8381, 267, 8176, 670, 657, 330, 8657, 267, 543, 20900, 4144, 594, 528, 1470, 267, 513, 8776, 517, 2023, 1014, 945, 1710, 2331, 519, 1788, 269, 4144, 594, 528, 1470, 14376, 3659, 9478, 700, 889, 514, 267, 945, 14376, 27680, 5651, 2102, 3212, 1188, 267, 547, 7703, 7198, 269, 14520, 3275, 2663, 519, 27428, 1558, 1586, 538, 513, 2777, 538, 2098, 1872, 267, 16848, 267, 1141, 1809, 518, 514, 5143, 519, 27428, 602, 519, 1788, 1131, 8399, 607, 513, 1875, 17416, 269, 670, 657, 330, 8657, 2451, 519, 1788, 693, 602, 942, 563, 28343, 7798, 19767, 7447, 602, 26981, 600, 9369, 1185, 24776, 827, 835, 2929, 3787, 23915, 1354, 7106, 8960, 538, 476, 1001, 271, 267, 950, 646, 19942, 519, 3060, 10332, 1883, 543, 1852, 540, 519, 3009, 23789, 936, 547, 717, 822, 514, 1656, 637, 523, 269, 1656, 637, 523, 2663, 2968, 1291, 17354, 693, 519, 11670, 7690, 269, 1656, 637, 523, 1287, 8179, 547, 15139, 1125, 1852, 269, 901, 2451, 4316, 585, 15784, 547, 1020, 936, 519, 2104, 1646, 2619, 540, 19682, 267, 538, 4334, 547, 519, 9228, 6392, 540, 26981, 600, 9369, 781, 7418, 269, 0, 2467, 616, 1896, 3845, 543, 593, 2275, 25283, 3167, 1014, 5049, 269, 1452, 616, 5921, 585, 1004, 945, 2972, 4730, 609, 19269, 543, 6999, 547, 1118, 513, 4876, 538, 713, 2361, 269, 5272, 2872, 267, 899, 4070, 267, 1184, 267, 1379, 267, 543, 7082, 546, 3120, 7632, 18271, 6469, 5122, 8030, 269, 9747, 267, 972, 568, 2141, 513, 1164, 3747, 3823, 8036, 538, 713, 4123, 269, 1403, 596, 798, 711, 20053, 547, 581, 606, 9441, 267, 1287, 596, 786, 2693, 960, 10446, 1310, 11264, 606, 3167, 1014, 2866, 6030, 563, 28269, 19791, 2986, 25477, 912, 763, 991, 3167, 2103, 814, 6266, 540, 519, 4070, 2872, 269, 18738, 4070, 540, 5321, 543, 5656, 267, 789, 991, 547, 1685, 513, 2603, 540, 4247, 267, 4098, 18413, 15791, 267, 547, 16459, 8022, 1949, 543, 824, 19269, 269, 898, 568, 2556, 602, 596, 1058, 723, 22734, 930, 3167, 1014, 2866, 547, 1265, 5078, 7694, 538, 519, 2014, 540, 269, 1411, 786, 581, 2838, 1599, 896, 519, 15569, 540, 5122, 8030, 267, 543, 596, 11129, 547, 723, 513, 9488, 1702, 540, 2542, 5122, 11387, 269, 4595, 593, 3135, 6009, 616, 796, 23896, 2406, 2352, 267, 596, 723, 547, 581, 5423, 547, 2322, 538, 1896, 2182, 3035, 741, 3483, 563, 5278, 13646, 267, 8027, 12205, 267, 543, 575, 730, 2950, 2308, 3167, 2103, 585, 602, 5826, 543, 7816, 540, 5122, 1949, 593, 741, 22402, 269, 634, 3167, 1014, 568, 10567, 547, 1685, 2596, 4247, 267, 899, 4657, 12904, 267, 21338, 535, 4926, 267, 28472, 1507, 5122, 19269, 267, 899, 11655, 267, 17408, 1136, 8022, 543, 9023, 5665, 1949, 563, 2252, 596, 1611, 547, 798, 7694, 538, 513, 12051, 267, 1287, 596, 666, 1058, 10929, 606, 4853, 3167, 1014, 2866, 1576, 269, 1452, 6030, 5721, 519, 1053, 593, 6266, 540, 1919, 267, 4098, 609, 519, 9238, 540, 5201, 547, 30076, 540, 4853, 3937, 269, 9577, 540, 606, 3167, 1014, 538, 513, 12051, 15320, 689, 835, 2324, 609, 5321, 610, 13646, 269, 1323, 6994, 3167, 1014, 568, 10567, 547, 1685, 1585, 4247, 5473, 4853, 3937, 269, 18378, 8907, 3028, 519, 10380, 267, 5826, 267, 30076, 267, 543, 28472, 540, 4853, 3937, 269, 634, 11645, 849, 786, 4096, 593, 519, 1826, 540, 2872, 269, 1280, 1383, 267, 519, 3167, 2103, 707, 12051, 2348, 8856, 7405, 949, 581, 2838, 547, 26215, 622, 543, 7816, 519, 7405, 267, 1247, 1346, 2324, 538, 513, 1184, 2872, 949, 991, 547, 3888, 267, 7500, 267, 543, 2226, 16546, 267, 623, 9448, 338, 267, 543, 5230, 12227, 563, 2662, 7241, 2361, 596, 3442, 267, 621, 1271, 602, 3442, 519, 1318, 1982, 2059, 609, 519, 1318, 9872, 547, 1831, 513, 14468, 5122, 11653, 269, 898, 568, 1898, 547, 1831, 606, 26886, 3167, 1014, 519, 1697, 538, 930, 2829, 269, 589, 13931, 3167, 1014, 814, 6505, 2404, 609, 3478, 1434, 6009, 269, 1411, 991, 547, 723, 693, 2547, 6192, 1164, 1153, 547, 22738, 606, 3167, 1014, 2866, 5850, 269, 634, 8653, 540, 3167, 1014, 2866, 5673, 593, 519, 1826, 540, 1576, 267, 949, 4268, 689, 476, 277, 4374, 547, 2185, 1296, 269, 4438, 519, 2866, 1974, 267, 596, 3580, 581, 2838, 1599, 609, 896, 519, 15569, 2404, 609, 519, 3167, 1014, 609, 519, 9837, 547, 1205, 4052, 1995, 269, 631, 699, 569, 2542, 827, 519, 5773, 547, 2322, 12904, 543, 3888, 3457, 1131, 2760, 581, 6190, 269, 1411, 991, 547, 960, 513, 1434, 22961, 823, 585, 3833, 865, 547, 1205, 1995, 538, 713, 2361, 269, 1323, 5122, 28079, 2866, 786, 7668, 799, 1831, 513, 13736, 3167, 1014, 563, 25821, 2353, 1160, 454, 25851, 275, 595, 3784, 1633, 30577, 20000, 267, 681, 1446, 662, 267, 12135, 476, 28510, 1626, 0, 7336, 2610, 674, 1177, 322, 9116, 2433, 17714, 547, 519, 23452, 4975, 540, 2098, 454, 290, 1478, 5705, 1856, 281, 17714, 547, 519, 4503, 2749, 540, 2098, 563, 763, 23452, 4975, 2986, 2098, 7464, 9452, 454, 763, 6667, 585, 519, 2101, 5163, 4605, 834, 763, 23452, 4975, 540, 2098, 2437, 7793, 545, 543, 19416, 3703, 24413, 29962, 3131, 1097, 26858, 674, 1177, 322, 9116, 6170, 476, 1015, 1296, 29595, 519, 7733, 543, 2669, 23752, 8933, 540, 8478, 538, 3406, 540, 513, 535, 12574, 4503, 2749, 269, 7053, 267, 18617, 602, 646, 1185, 4362, 519, 4087, 267, 646, 1305, 856, 585, 519, 2063, 942, 4724, 10278, 834, 313, 257, 538, 476, 4572, 276, 267, 2760, 547, 581, 4862, 689, 1586, 20136, 13858, 543, 12357, 2272, 540, 674, 1177, 322, 9116, 781, 4557, 1296, 540, 12599, 538, 14686, 795, 2426, 956, 543, 7733, 538, 3406, 540, 513, 5728, 2749, 729, 16432, 676, 1010, 7820, 5067, 267, 674, 1177, 322, 9116, 781, 13959, 593, 1010, 15322, 267, 689, 22251, 267, 5022, 2676, 268, 772, 15425, 281, 476, 16928, 280, 4097, 7176, 454, 268, 28951, 281, 476, 274, 269, 271, 0, 25857, 686, 24297, 2274, 1260, 974, 5412, 476, 272, 267, 476, 1001, 280, 3427, 6096, 454, 5415, 543, 811, 3237, 616, 7446, 547, 1753, 1153, 741, 3214, 269, 5851, 18375, 814, 1279, 1044, 2219, 540, 607, 1152, 585, 7453, 3909, 5321, 269, 5851, 18375, 568, 1631, 1373, 6074, 676, 782, 2010, 540, 3885, 269, 769, 1840, 547, 811, 543, 811, 3885, 7446, 547, 1753, 1153, 741, 3214, 267, 972, 616, 849, 811, 543, 811, 6437, 3681, 2139, 269, 634, 8244, 540, 519, 1158, 2647, 1357, 814, 1500, 519, 8244, 540, 811, 6437, 3681, 585, 707, 1920, 269, 2052, 596, 3313, 519, 1655, 1576, 540, 6437, 585, 707, 3214, 286, 1411, 786, 1616, 547, 646, 539, 891, 2093, 607, 596, 979, 998, 1142, 1184, 563, 5445, 666, 1451, 875, 547, 1711, 27515, 267, 2059, 609, 1896, 824, 1983, 4481, 2966, 585, 741, 1377, 269, 3509, 540, 519, 2934, 540, 3872, 3156, 267, 971, 607, 2170, 2032, 267, 616, 4625, 538, 11060, 609, 3872, 21246, 1023, 267, 602, 568, 513, 5458, 5413, 585, 3025, 28560, 596, 723, 1453, 267, 1287, 596, 666, 581, 5461, 538, 1620, 827, 2780, 14318, 3292, 602, 616, 2139, 585, 873, 269, 3414, 1187, 3756, 267, 19347, 18862, 543, 538, 1082, 2665, 6863, 6810, 267, 1453, 1451, 519, 1898, 2780, 1983, 789, 949, 991, 950, 596, 946, 824, 20419, 3301, 267, 1256, 593, 519, 9251, 1377, 269, 6744, 856, 1896, 3292, 267, 607, 930, 1256, 723, 22429, 3688, 267, 899, 513, 3733, 3689, 12229, 10856, 14950, 543, 3606, 2835, 269, 14399, 1063, 476, 274, 547, 476, 275, 1296, 540, 2085, 616, 5219, 547, 607, 9656, 543, 23021, 269, 2060, 713, 3942, 540, 1646, 267, 1453, 1451, 543, 10110, 1344, 3533, 269, 634, 5168, 568, 713, 568, 519, 942, 607, 4166, 607, 707, 1126, 1131, 2864, 2263, 519, 1158, 1472, 1200, 269, 1358, 2972, 14379, 741, 1719, 543, 16007, 538, 1034, 1007, 6602, 269, 18564, 513, 1762, 1126, 602, 12034, 519, 22774, 1657, 585, 519, 1101, 942, 269, 18564, 875, 1200, 4082, 2242, 269, 4595, 713, 568, 1945, 1007, 547, 1200, 267, 1352, 3362, 4991, 19832, 676, 519, 8748, 4778, 609, 519, 22774, 269, 1548, 3237, 616, 2111, 547, 798, 568, 547, 5000, 519, 1126, 547, 6655, 1200, 4606, 269, 13185, 547, 519, 1126, 538, 513, 1360, 3339, 6073, 563, 763, 2229, 543, 1533, 6494, 856, 13387, 4255, 602, 1753, 1153, 539, 1453, 616, 1869, 2838, 547, 1491, 269, 3509, 968, 10177, 6463, 892, 3506, 1305, 2395, 11735, 585, 891, 4255, 1142, 1032, 269, 6969, 28720, 519, 4255, 693, 1753, 267, 2638, 609, 707, 2199, 1153, 4604, 547, 1118, 2386, 602, 707, 1126, 3884, 1406, 2838, 1694, 538, 513, 1153, 4928, 1101, 269, 769, 930, 2127, 267, 972, 616, 2395, 1305, 11735, 585, 2199, 1753, 1153, 539, 1453, 547, 1491, 519, 4255, 1927, 269, 2422, 519, 1344, 2139, 998, 707, 2199, 1153, 4604, 547, 1544, 707, 1935, 547, 21496, 13387, 4255, 563, 6624, 3237, 616, 530, 776, 540, 1753, 18375, 1317, 789, 1745, 602, 741, 1453, 786, 711, 1205, 2614, 1514, 3346, 609, 741, 9905, 269, 634, 5168, 568, 267, 609, 865, 1082, 1004, 1904, 532, 547, 1753, 1153, 741, 1453, 267, 972, 568, 513, 1390, 3060, 3015, 585, 596, 547, 2170, 609, 824, 1753, 1153, 3885, 269, 18461, 602, 596, 5749, 1406, 5100, 2614, 547, 4001, 2979, 610, 2257, 286, 1703, 616, 1753, 1153, 3158, 543, 546, 6758, 945, 786, 4123, 1055, 3450, 1978, 5396, 952, 596, 4001, 707, 1453, 543, 741, 338, 685, 519, 5396, 596, 616, 1655, 693, 269, 1703, 616, 1082, 2200, 2139, 547, 3237, 945, 7287, 547, 1753, 1153, 282, 2760, 1745, 602, 596, 616, 4805, 538, 713, 20089, 269, 1411, 1175, 723, 547, 2322, 538, 519, 942, 543, 519, 838, 6064, 547, 1491, 593, 519, 16854, 9021, 540, 12419, 707, 1126, 689, 519, 1459, 543, 883, 519, 2104, 269, 1809, 1018, 568, 811, 4105, 538, 707, 1272, 982, 4543, 707, 1126, 1831, 519, 1655, 789, 666, 581, 27085, 3509, 3237, 538, 2015, 1753, 18375, 585, 741, 1453, 936, 3339, 1153, 5049, 269, 25214, 267, 1034, 3237, 1753, 1153, 539 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21907, 4708, 2474, 609, 519, 27469, 267, 14068, 13709, 1470, 31205, 9896, 606, 6186, 626, 823, 6876, 20829, 519, 2475, 306, 20307, 593, 5181, 476, 274, 267, 476, 3707, 274, 269, 1879, 3377, 13264, 15597, 5216, 2395, 2663, 267, 14784, 1671, 4240, 2429, 7977, 269, 3509, 32228, 2103, 9976, 19802, 267, 2943, 1866, 21787, 1065, 5142, 1023, 689, 13303, 5003, 4536, 945, 1631, 6417, 7187, 7977, 269, 8409, 10121, 547, 631, 1380, 565, 7236, 849, 5706, 539, 267, 3056, 547, 7839, 5208, 543, 16132, 780, 5472, 1221, 25790, 543, 645, 25114, 692, 22873, 6053, 267, 519, 7969, 22411, 8399, 539, 7444, 1813, 547, 2352, 1768, 23230, 543, 4365, 2175, 269, 1717, 267, 12374, 13603, 909, 3432, 1739, 519, 7001, 540, 10878, 1255, 538, 5239, 476, 3707, 274, 269, 1635, 2904, 476, 3707, 275, 267, 7507, 6368, 8593, 883, 20466, 3946, 269, 4329, 8441, 5185, 13888, 2287, 4436, 23640, 2059, 519, 29775, 822, 7412, 12544, 3126, 540, 8185, 25167, 7158, 4881, 2066, 3844, 7977, 269, 11153, 2182, 1922, 4454, 12959, 6353, 713, 5123, 267, 1519, 22757, 18706, 3626, 267, 1323, 345, 1470, 267, 543, 7101, 545, 1993, 8643, 269, 7053, 267, 538, 4989, 476, 3707, 276, 267, 519, 4436, 7952, 1147, 16781, 1229, 14955, 3431, 267, 10678, 3984, 1988, 538, 7977, 780, 25842, 540, 519, 7969, 22411, 692, 763, 7969, 22411, 5129, 513, 2629, 1909, 538, 9396, 908, 13609, 781, 4229, 538, 2342, 269, 631, 4106, 3320, 267, 621, 11651, 1540, 8101, 4436, 2200, 2476, 689, 519, 8109, 13571, 267, 17212, 1324, 2604, 593, 519, 4414, 8136, 269, 7971, 1227, 267, 621, 26558, 2989, 519, 12900, 540, 26812, 1143, 538, 2342, 543, 8329, 547, 519, 4473, 540, 4550, 268, 10919, 626, 18941, 1851, 7262, 1629, 31097, 2022, 21351, 269, 8859, 1227, 267, 16646, 3646, 2838, 7372, 9541, 689, 1312, 6469, 543, 3486, 2959, 267, 4543, 2413, 1125, 7977, 3648, 936, 7766, 5756, 780, 6962, 692, 15987, 1419, 31083, 611, 15735, 676, 3677, 11044, 899, 11870, 22929, 610, 853, 2718, 2784, 267, 519, 7969, 22411, 9863, 23801, 538, 5935, 519, 6364, 540, 2622, 2782, 4083, 269, 4706, 4245, 4196, 607, 23106, 827, 10100, 267, 16177, 267, 543, 15093, 8015, 14488, 269, 3414, 4974, 971, 3140, 2621, 267, 649, 2744, 3407, 4030, 883, 519, 10848, 540, 2518, 6214, 267, 4108, 4640, 267, 543, 23372, 1765, 32474, 1898, 585, 10188, 938, 5051, 10562, 1158, 2221, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 300, 2355, 15638, 31777, 1218, 595, 2378, 15530, 13957, 5158, 590, 697, 572, 4370, 19255, 4771, 12182, 1564, 454, 21938, 910, 4728, 476, 1001, 276, 454, 288, 588, 2651, 998, 454, 3674, 621, 11354, 454, 29804, 12156, 547, 948, 454, 9767, 10726, 519, 4411, 454, 292, 590, 590, 661, 715, 30263, 589, 700, 454, 290, 594, 570, 312, 717, 772, 594, 667, 661, 590, 454, 1103, 519, 5240, 454, 6635, 337, 2526, 1299, 15775, 15907, 454, 290, 11857, 1299, 15638, 476, 1015, 454, 1432, 547, 1294, 454, 300, 17398, 20989, 1272, 476, 1626, 454, 23895, 14896, 908, 6576, 779, 5162, 476, 1240, 454, 2419, 11699, 543, 20708, 625, 454, 305, 11701, 2021, 476, 2641, 454, 305, 728, 606, 4672, 3691, 6033, 454, 295, 5200, 15882, 476, 5379, 454, 303, 10225, 543, 10651, 454, 289, 2590, 593, 519, 1025, 4176, 476, 3953, 454, 11328, 1613, 609, 598, 857, 10235, 454, 8489, 547, 3548, 454, 291, 766, 543, 4235, 519, 3781, 2476, 454, 8489, 547, 3251, 476, 4366, 454, 2750, 6312, 1299, 27999, 476, 7918, 454, 763, 5890, 520, 15232, 454, 8624, 4379, 281, 6739, 24756, 454, 28716, 519, 8832, 3854, 454, 300, 2355, 1299, 12039, 454, 21938, 910, 4728, 476, 1001, 276, 454, 1103, 519, 5240, 454, 19284, 538, 5375, 2342, 267, 1141, 5988, 543, 4728, 666, 581, 454, 320, 3787, 540, 513, 1577, 6658, 1310, 519, 30018, 4005, 267, 519, 5162, 3275, 454, 514, 6576, 616, 17078, 523, 609, 9153, 269, 898, 1522, 581, 1869, 1360, 4411, 454, 514, 18293, 267, 855, 28592, 1376, 547, 8661, 519, 1439, 540, 5162, 454, 16838, 952, 5614, 1869, 4667, 513, 1279, 1259, 1055, 269, 4438, 16549, 6352, 1080, 320, 454, 15553, 630, 21938, 476, 1626, 628, 1107, 476, 2420, 628, 264, 596, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 12668, 1299, 4762, 26555, 1315, 2622, 2782, 4083, 1315, 3864, 26308, 1315, 7969, 22411, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 901, 6920, 1447, 3608, 8144, 540, 31286, 585, 9842, 13232, 6090, 3379, 547, 1346, 540, 9606, 10095, 6090, 269, 1717, 267, 2094, 891, 1439, 18100, 9842, 332, 1749, 2291, 538, 2789, 12215, 538, 519, 1591, 267, 2530, 540, 8144, 4398, 949, 581, 9104, 730, 676, 519, 936, 629, 1495, 766, 540, 31286, 2139, 585, 3940, 10282, 4586, 274, 269, 274, 269, 634, 8177, 540, 12676, 593, 22328, 853, 1464, 1472, 519, 3399, 26467, 517, 1772, 14118, 10642, 676, 2271, 337, 13917, 32081, 23531, 454, 20228, 4575, 6885, 2079, 849, 7000, 602, 544, 23978, 609, 12676, 616, 1447, 7123, 982, 1346, 1510, 12676, 585, 6090, 593, 15954, 476, 272, 543, 476, 273, 630, 8201, 476, 275, 543, 7612, 476, 276, 267, 6606, 1070, 1201, 5024, 519, 1101, 8367, 602, 544, 23978, 609, 12676, 543, 544, 23978, 1510, 12676, 11677, 2147, 6617, 282, 4352, 1100, 19250, 1713, 3017, 568, 2938, 585, 519, 9842, 332, 1749, 267, 2523, 585, 4525, 25318, 519, 1376, 13798, 517, 269, 5015, 267, 513, 14733, 5021, 22328, 16132, 1472, 519, 1376, 13798, 517, 568, 1152, 2938, 585, 6090, 4092, 538, 15694, 476, 273, 630, 8201, 476, 276, 1040, 589, 2147, 10717, 6617, 568, 9738, 585, 6090, 538, 15694, 476, 272, 543, 9842, 332, 1749, 269, 634, 13260, 2938, 538, 1863, 1648, 585, 6090, 538, 7612, 476, 277, 568, 1317, 540, 519, 1164, 3044, 11539, 538, 1797, 585, 930, 540, 519, 9842, 332, 1749, 269, 16480, 267, 519, 2034, 8367, 602, 6281, 2497, 1472, 519, 1376, 13798, 517, 568, 31965, 585, 544, 23978, 609, 12676, 543, 454, 8201, 476, 274, 269, 22328, 6617, 585, 6090, 4092, 538, 9842, 332, 1749, 269, 667, 14414, 1899, 6920, 513, 15977, 6476, 540, 11667, 631, 25539, 2418, 540, 824, 25510, 609, 11667, 631, 25539, 1871, 540, 10822, 476, 271, 269, 3143, 19250, 1713, 3017, 568, 2938, 538, 22328, 6617, 269, 1773, 11047, 573, 589, 630, 303, 815, 476, 271, 269, 5400, 279, 267, 815, 476, 866, 269, 19740, 1070, 1773, 11047, 573, 645, 630, 303, 815, 476, 271, 269, 16825, 267, 815, 476, 1240, 269, 1839, 1070, 1773, 11047, 573, 595, 630, 303, 815, 476, 271, 269, 30130, 267, 815, 476, 1724, 269, 4375, 274, 1070, 1773, 11047, 573, 667, 630, 303, 815, 476, 271, 269, 5908, 267, 815, 476, 1691, 269, 280, 1240, 1070, 1773, 11047, 573, 661, 630, 303, 815, 476, 271, 269, 277, 4510, 267, 815, 476, 274, 269, 18458, 264, 1496, 298, 6350, 32039, 9931, 529, 4530, 14073, 8201, 476, 275, 269, 6215, 4575, 6885, 2079, 540, 22328, 6617, 585, 6090, 538, 26537, 25593, 476, 272, 269, 634, 15561, 6920, 519, 2990, 540, 519, 1376, 13798, 517, 269, 589, 20419, 26841, 540, 6281, 2497, 5250, 585, 544, 23978, 609, 12676, 568, 849, 3254, 593, 519, 3113, 563, 8201, 476, 276, 269, 6215, 4575, 6885, 2079, 540, 22328, 6617, 585, 6090, 538, 26537, 25593, 476, 273, 269, 634, 15561, 6920, 519, 2990, 540, 519, 1376, 13798, 517, 269, 589, 20419, 26841, 540, 6281, 2497, 5250, 585, 544, 23978, 609, 12676, 568, 849, 3254, 593, 519, 3113, 563, 8201, 476, 277, 269, 6215, 4575, 6885, 2079, 540, 22328, 6617, 585, 6090, 593, 1773, 11047, 1749, 589, 267, 645, 267, 595, 267, 667, 543, 661, 269, 634, 15561, 6920, 519, 2990, 540, 519, 1376, 13798, 517, 269, 589, 20419, 26841, 540, 6281, 2497, 5250, 585, 544, 23978, 609, 12676, 543, 544, 23978, 1510, 12676, 616, 849, 3254, 593, 519, 3113, 563, 2254, 585, 544, 23978, 1510, 12676, 568, 1201, 3176, 269, 901, 6920, 602, 12676, 568, 1152, 6213, 547, 6281, 2497, 5250, 11451, 593, 519, 22328, 267, 543, 602, 519, 3310, 540, 12676, 593, 22328, 1863, 1648, 568, 11248, 10391, 267, 543, 7654, 6766, 676, 17271, 11646, 5888, 563, 10214, 1498, 835, 1131, 2503, 513, 1447, 7123, 22612, 3148, 593, 519, 22328, 267, 621, 568, 2009, 602, 22328, 16132, 814, 606, 8801, 1198, 593, 8144, 607, 621, 6971, 519, 3368, 3734, 540, 519, 22328, 1547, 4475, 267, 513, 4123, 4752, 1063, 22328, 6617, 543, 1376, 13798, 517, 10333, 1522, 2097, 883, 1404, 267, 2523, 585, 1898, 6090, 593, 15694, 476, 272, 602, 616, 17477, 6140, 538, 513, 2582, 5299, 269, 901, 1287, 8711, 519, 7872, 540, 519, 9295, 540, 2188, 267, 824, 982, 519, 4527, 540, 12676, 543, 22328, 6617, 630, 1721, 1376, 13798, 517, 10333, 1070, 899, 3940, 6617, 267, 13798, 517, 9186, 543, 717, 290, 1543, 267, 538, 8159, 8144, 4398, 825, 4586, 1103, 5758, 267, 938, 960, 593, 681, 269, 838, 3873, 518, 32403, 814, 3254, 513, 2009, 5817, 3310, 540, 11248, 23506, 593, 22328, 6617, 538, 12676, 17466, 543, 12676, 23949, 8817, 8144, 1949, 269, 769, 681, 269, 838, 3873, 518, 32403, 267, 26537, 22199, 476, 272, 543, 476, 273, 267, 799, 6140, 2291, 538, 2582, 12215, 267, 2270, 1447, 7123, 544, 23978, 538, 12676, 17466, 22612, 1062, 267, 609, 519, 23350, 602, 519, 4527, 540, 12676, 708, 27289, 922, 946, 538, 6117, 8144, 540, 519, 22328, 269, 901, 568, 711, 519, 2013, 585, 519, 9842, 332, 1749, 799, 2291, 538, 2789, 12215, 267, 13296, 267, 22328, 6617, 568, 711, 3648, 1114, 585, 1312, 12676, 17466, 543, 12676, 23949, 8817, 8144, 1949, 269, 4329, 9382, 540, 22328, 6617, 1472, 519, 1376, 13798, 517, 849, 1397, 18187, 517, 10391, 5250, 540, 6281, 2497, 585, 1312, 544, 23978, 609, 12676, 543, 1346, 1510, 12676, 269, 8892, 3646, 1223, 267, 4061, 267, 581, 9859, 693, 19286, 908, 519, 2360, 540, 17271, 22308, 2934, 824, 982, 519, 4527, 540, 12676, 543, 22328, 6281, 2497, 538, 1931, 547, 2708, 519, 4398, 540, 8144, 538, 4551, 563, 23077, 1224, 519, 3332, 267, 6896, 519, 1239, 267, 6383, 5515, 267, 5340, 8579, 4255, 267, 543, 31751, 12377, 269, 31125, 6383, 631, 25539, 2418, 689, 4223, 18350, 6915, 514, 26197, 1907, 7901, 267, 3177, 1454, 5813, 593, 875, 547, 1655, 3113, 270, 5891, 1239, 267, 543, 5280, 547, 8908, 519, 12377, 269, 14330, 6069, 519, 1353, 267, 11461, 519, 3173, 7900, 519, 1239, 5599, 543, 9382, 267, 3177, 1454, 5813, 593, 875, 547, 1655, 4159, 1239, 543, 4612, 4093, 267, 543, 5280, 547, 8908, 519, 12377, 269, 2353, 4589, 723, 1224, 543, 9516, 519, 3803, 12377, 563, 23077, 729, 513, 10927, 2875, 538, 519, 4972, 540, 18143, 7070, 693, 6341, 20279, 3557, 2160, 950, 713, 960, 729, 6192, 543, 568, 4867, 513, 2564, 2875, 693, 634, 2160, 540, 2836, 326, 776, 595, 636, 2719, 3427, 540, 6925, 269, 31125, 568, 513, 7905, 538, 519, 4972, 540, 8950, 3163, 693, 6341, 20279, 3557, 2160, 269, 14330, 568, 513, 7905, 538, 519, 4972, 540, 18143, 7070, 693, 6341, 20279, 3557, 2160, 563, 2171, 1131, 899, 547, 9684, 519, 4972, 540, 18143, 7070, 693, 6341, 20279, 3557, 2160, 585, 741, 1489, 1282, 519, 12032, 540, 713, 1788, 563, 715, 643, 1231, 330, 553, 267, 681, 1421, 5689, 903, 267, 715, 1421, 918, 5055, 25901, 267, 966, 1421, 966, 2967, 20795, 330, 10044, 924, 267, 681, 269, 543, 717, 710, 1731, 1329, 324, 267, 661, 269, 630, 1960, 280, 264, 5403, 6874, 4920, 5296, 1308, 6513, 540, 645, 1461, 328, 21301, 570, 275, 22319, 476, 1839, 20309, 281, 22328, 18520, 12856, 2334, 13661, 1734, 25927, 1049, 9024, 2747, 269, 4750, 540, 17449, 10334, 267, 476, 25971, 267, 476, 29720, 268, 19054, 563, 20266, 731, 267, 674, 1421, 6660, 1335, 267, 670, 1421, 7200, 6798, 27056, 267, 623, 1421, 19846, 660, 267, 645, 1421, 23081, 5218, 5174, 748, 21103, 267, 631, 269, 543, 12852, 4472, 700, 269, 630, 1001, 273, 264, 645, 17424, 25927, 1049, 22769, 281, 4400, 16844, 1063, 2353, 544, 23978, 543, 11683, 10020, 538, 22319, 20309, 269, 645, 10157, 2637, 15299, 267, 476, 1724, 267, 9137, 3143, 269, 476, 276, 2764, 563, 2098, 26907, 267, 2473, 1421, 13535, 267, 717, 1421, 2701, 267, 2098, 269, 543, 11809, 340, 267, 670, 269, 630, 1001, 272, 264, 26064, 1652, 2637, 525, 538, 29318, 281, 1849, 826, 547, 519, 12472, 540, 22564, 9024, 2747, 31469, 538, 1160, 28648, 4925, 269, 645, 10157, 2637, 15299, 267, 476, 1321, 267, 9137, 3143, 269, 476, 3607, 272, 563, 17363, 31899, 267, 589, 1421, 3057, 17844, 267, 590, 1421, 23514, 1676, 267, 700, 1421, 3733, 553, 23364, 990, 267, 589, 1421, 7931, 2421, 267, 623, 1421, 962, 639, 1575, 13960, 267, 717, 1421, 1696, 620, 269, 630, 1220, 280, 264, 589, 23305, 7348, 540, 22564, 9024, 2747, 538, 29318, 269, 8426, 983, 543, 17449, 5020, 7070, 267, 476, 5780, 267, 9137, 3143, 269, 476, 275, 2537, 563, 4787, 832, 7288, 267, 623, 1421, 700, 518, 1195, 267, 623, 1421, 674, 599, 564, 267, 744, 1421, 667, 9445, 325, 639, 267, 631, 269, 543, 19555, 2335, 30071, 9324, 3901, 267, 590, 269, 630, 1220, 277, 264, 634, 4400, 569, 31478, 22564, 9024, 2747, 16323, 689, 519, 18521, 615, 747, 807, 19546, 678, 1186, 288, 22319, 700, 2931, 513, 1744, 710, 5937, 531, 3258, 7224, 27100, 269, 4750, 540, 645, 1461, 5735, 267, 476, 6642, 267, 476, 277, 2767, 278, 268, 277, 2764, 276, 563, 2871, 267, 654, 1421, 31481, 267, 570, 269, 543, 12070, 651, 267, 595, 269, 630, 1001, 271, 264, 589, 17629, 7066, 526, 540, 25841, 22328, 853, 1464, 2282, 519, 22564, 268, 22873, 2747, 13505, 538, 1160, 28648, 4925, 543, 661, 20915, 4925, 269, 12813, 24382, 32492, 10334, 267, 476, 277, 267, 9137, 9517, 281, 552, 1911, 271, 5780, 275, 563, 10496, 10849, 267, 661, 1421, 24759, 267, 808, 269, 543, 3967, 6308, 267, 631, 269, 630, 1001, 273, 264, 634, 10020, 540, 10717, 12856, 538, 5403, 10520, 5296, 1308, 19938, 540, 22319, 20309, 269, 4750, 540, 21834, 543, 2637, 15299, 267, 476, 4375, 267, 476, 276, 3374, 268, 276, 6246, 563, 23580, 333, 2946, 337, 267, 631, 269, 543, 918, 549, 724, 267, 631, 269, 630, 1220, 276, 264, 674, 13783, 5131, 2037, 25489, 540, 476, 276, 685, 268, 7473, 20745, 8177, 5403, 6874, 4920, 5296, 1308, 19938, 593, 513, 2637, 5669, 17361, 538, 14717, 770, 269, 12813, 24382, 32492, 10334, 267, 476, 272, 267, 9137, 3143, 269, 552, 7761, 563, 5576, 541, 742, 267, 700, 11065, 1421, 4132, 338, 267, 700, 1421, 9546, 750, 267, 667, 269, 543, 645, 1442, 267, 681, 269, 630, 1001, 272, 264, 10871, 12559, 775, 540, 18520, 12856, 18983, 1080, 22564, 540, 544, 23978, 2334, 19768, 25906, 25593, 5174, 4193, 26317, 269, 12813, 24382, 21834, 267, 476, 278, 267, 9137, 9517, 281, 552, 1911, 21497, 276, 563, 670, 1993, 871, 518, 267, 594, 11482, 1421, 674, 2632, 3570, 267, 654, 1421, 853, 611, 2401, 267, 623, 12171, 1421, 12844, 21539, 742, 518, 267, 700, 2529, 1421, 570, 871, 518, 267, 631, 269, 543, 5576, 13831, 267, 623, 269, 630, 1960, 275, 264, 16258, 674, 13783, 543, 18948, 540, 10717, 18520, 23113, 269, 3933, 1846, 515, 325, 974, 24166, 6314, 773, 14727, 8707, 13600, 569, 267, 476, 10219, 267, 476, 15757, 268, 6642, 563, 12313, 267, 631, 12991, 1421, 29399, 267, 918, 13034, 1421, 31471, 267, 661, 12282, 269, 543, 1488, 7219, 267, 589, 10422, 269, 630, 1220, 276, 264, 589, 23397, 6396, 585, 6452, 23847, 7358, 517, 21023, 687, 538, 2353, 14938, 10642, 1160, 28648, 4925, 269, 715, 16197, 545, 3600, 1749, 3194, 267, 476, 3451, 267, 476, 279, 3199, 268, 8660, 273, 563, 5754, 3430, 267, 667, 1421, 16441, 267, 717, 11482, 1421, 16511, 30913, 334, 267, 623, 12171, 1421, 8092, 267, 631, 11482, 1421, 30038, 25534, 267, 674, 15030, 269, 543, 670, 9476, 518, 267, 700, 12282, 269, 630, 1001, 271, 264, 1160, 21745, 531, 281, 1160, 28648, 5328, 22319, 23779, 543, 22564, 9024, 2747, 13505, 22384, 269, 645, 10157, 12713, 514, 26197, 267, 476, 1556, 267, 9137, 3143, 269, 476, 15686, 563, 667, 25493, 267, 918, 12282, 1421, 2052, 333, 821, 267, 808, 12282, 1421, 29154, 2795, 267, 595, 15030, 269, 543, 28066, 749, 267, 681, 10611, 269, 630, 1220, 275, 264, 16214, 540, 519, 2672, 527, 1464, 540, 5131, 268, 21328, 3687, 574, 1436, 4635, 3026, 11732, 9539, 324, 662, 4011, 6052, 30352, 585, 10717, 18520, 12856, 20530, 2109, 269, 645, 10157, 12713, 514, 26197, 267, 476, 276, 267, 9137, 3143, 269, 476, 10755, 563, 654, 1276, 1399, 267, 590, 1421, 674, 2632, 3570, 267, 654, 1421, 670, 1993, 871, 518, 267, 594, 269, 543, 5576, 13831, 267, 623, 269, 630, 1960, 280, 264, 13159, 4427, 9953, 2711, 674, 13783, 540, 10717, 543, 519, 853, 1464, 540, 18520, 23113 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2854, 1650, 827, 596, 610, 2576, 3116, 602, 1419, 1427, 20635, 1018, 5949, 538, 26567, 1931, 630, 514, 1931, 540, 2621, 1070, 2306, 2386, 547, 2285, 519, 4259, 630, 6518, 568, 1141, 519, 269, 6258, 875, 547, 2328, 513, 2239, 1557, 269, 1215, 547, 3503, 513, 21931, 4828, 910, 5153, 1635, 5153, 269, 898, 779, 1271, 547, 1331, 6263, 3877, 543, 4664, 547, 2992, 519, 3510, 267, 865, 519, 5304, 1131, 4952, 543, 1205, 621, 7157, 563, 268, 2123, 3948, 5856, 3028, 454, 268, 875, 547, 10839, 4930, 538, 3594, 454, 268, 10888, 14172, 1557, 1806, 0, 1704, 267, 476, 1220, 278, 4534, 623, 23635, 568, 711, 3622, 2219, 540, 607, 1272, 18446, 267, 855, 621, 1175, 1522, 581, 585, 1346, 609, 519, 4049, 560, 3029, 540, 519, 2068, 269, 4658, 609, 4049, 27728, 1185, 513, 476, 2004, 260, 2799, 1981, 540, 2669, 3379, 609, 1004, 1510, 519, 12982, 2960, 2068, 538, 513, 9241, 4080, 1353, 563, 9989, 27728, 1291, 547, 2669, 888, 3519, 7501, 269, 27275, 27728, 568, 2404, 609, 606, 2799, 1981, 540, 2669, 689, 513, 3099, 540, 3123, 609, 9025, 2669, 1373, 519, 1034, 1455, 1696, 5735, 269, 1452, 2550, 941, 849, 693, 2799, 1981, 540, 2669, 689, 3123, 711, 5892, 4080, 971, 607, 3968, 267, 8459, 2068, 267, 543, 12110, 563, 4692, 594, 2661, 1279, 609, 27728, 888, 303, 23635, 568, 513, 5312, 2783, 609, 1100, 1634, 10826, 269, 1717, 267, 609, 3617, 2126, 543, 2359, 2553, 267, 2589, 666, 2356, 581, 1134, 6417, 543, 1450, 2550, 547, 2661, 796, 514, 3031, 1243, 2729, 563, 3963, 568, 972, 1100, 10826, 585, 27728, 888, 303, 23635, 568, 513, 5312, 16991, 2783, 602, 18085, 581, 23174, 269, 898, 5956, 950, 707, 4761, 1062, 9247, 24515, 1996, 707, 1378, 1560, 269, 901, 2164, 538, 2960, 2281, 602, 1332, 1932, 3533, 267, 4929, 1166, 4100, 593, 707, 2960, 269, 634, 2360, 540, 713, 2783, 1331, 811, 982, 1175, 2960, 15087, 563, 3963, 1705, 594, 1205, 27728, 538, 1250, 476, 1789, 338, 888, 12867, 3494, 3735, 268, 976, 564, 27728, 568, 3361, 676, 513, 4999, 540, 6090, 543, 824, 2188, 971, 607, 2566, 267, 2960, 7063, 267, 3105, 5563, 267, 543, 1978, 11955, 269, 1280, 1383, 267, 12498, 3625, 619, 267, 519, 4915, 1031, 547, 1521, 1164, 1973, 2604, 543, 2295, 2175, 267, 666, 1118, 27728, 8338, 563, 1692, 666, 594, 10726, 27728, 888, 307, 11661, 27728, 269, 623, 23635, 568, 513, 18596, 16991, 4524, 6353, 676, 2699, 267, 1166, 21294, 15649, 593, 519, 2960, 269, 6875, 8192, 9360, 269, 26678, 9360, 949, 948, 8897, 27728, 2589, 689, 519, 3330, 269, 16473, 3819, 2960, 269, 8347, 620, 4141, 269, 3680, 6526, 27509, 269, 16202, 1072, 2685, 269, 1924, 752, 707, 1560, 269, 5192, 930, 12345, 21457, 3688, 0, 1103, 918, 778, 577, 327, 267, 17063, 7146, 1673, 6614, 1148, 568, 6444, 607, 513, 11366, 286, 289, 663, 7315, 328, 18502, 11366, 286, 17020, 7315, 328, 4266, 689, 1369, 519, 17020, 7315, 328, 1000, 27097, 476, 1911, 1296, 267, 543, 5734, 918, 778, 577, 327, 950, 1004, 538, 519, 918, 1002, 686, 2486, 28953, 689, 590, 785, 327, 269, 17020, 7315, 328, 17063, 543, 20004, 5828, 856, 547, 581, 606, 1898, 7404, 4747, 2707, 1317, 540, 519, 4123, 540, 6512, 7315, 328, 6512, 2335, 553, 547, 2342, 3842, 519, 2296, 5101, 6243, 540, 15242, 15278, 585, 519, 22733, 2540, 269, 6145, 519, 7404, 3625, 13504, 27826, 23252, 267, 6512, 7315, 328, 4648, 8246, 8378, 267, 2067, 4199, 899, 544, 9554, 543, 533, 727, 28699, 622, 547, 2681, 741, 1378, 1570, 538, 606, 5140, 5044, 540, 18565, 269, 3023, 14142, 3902, 634, 1184, 540, 18172, 23090, 513, 8142, 1472, 513, 3296, 540, 5958, 267, 10085, 4370, 621, 267, 543, 9427, 519, 6125, 547, 1397, 513, 9764, 5706, 14953, 814, 18423, 4010, 519, 1482, 2094, 6512, 7315, 328, 729, 1101, 6594, 563, 289, 1662, 476, 4198, 277, 13091, 540, 918, 778, 577, 327, 267, 519, 1646, 540, 5958, 24470, 15186, 9927, 519, 1148, 269, 28577, 24470, 616, 1970, 11720, 539, 543, 10097, 538, 513, 942, 1974, 540, 2949, 4346, 267, 607, 1134, 607, 519, 15583, 566, 538, 1200, 8560, 782, 855, 25216, 519, 1101, 1702, 540, 1210, 17724, 773, 4778, 563, 289, 663, 7315, 328, 814, 1044, 15520, 1271, 547, 918, 778, 577, 6062, 2950, 7868, 1082, 26060, 12204, 540, 6512, 7315, 328, 1522, 575, 327, 1105, 565, 340, 267, 799, 568, 519, 6671, 16806, 16008, 5212, 7315, 328, 540, 30899, 10620, 9699, 543, 27454, 27379, 3562, 1532, 525, 269, 634, 669, 663, 549, 330, 7315, 328, 4523, 547, 581, 1810, 2740, 676, 7332, 1490, 1938, 563, 14738, 1631, 267, 519, 918, 1002, 686, 1858, 1522, 581, 1292, 10672, 540, 17020, 7315, 328, 538, 30899, 520, 267, 24569, 513, 16169, 540, 713, 2328, 609, 1500, 621, 998, 585, 6502, 269, 918, 1002, 5142, 538, 918, 778, 577, 327, 616, 1419, 9699, 610, 7332, 269, 634, 1719, 538, 14969, 1374, 2348, 17020, 7315, 328, 4523, 547, 581, 5207, 267, 538, 1840, 547, 519, 1034, 2487, 3270, 666, 723, 1472, 835, 32763, 7681, 630, 25854, 1040, 17020, 7315, 328, 666, 581, 1031, 585, 3232, 20758, 549, 2041, 2059, 609, 513, 22273, 5534, 16873, 267, 899, 24570, 267, 16806, 6105, 267, 543, 15831, 2679, 31145, 563, 298, 1002, 5142, 1118, 2189, 3029, 540, 17020, 7315, 328, 547, 6474, 519, 7569, 540, 4207, 543, 1454, 811, 5001, 7218, 269, 1358, 1449, 856, 519, 7516, 267, 9043, 267, 543, 5329, 540, 1142, 1665, 689, 519, 12308, 2139, 513, 1007, 1587, 5542, 269, 634, 2754, 779, 29282, 16079, 606, 7499, 18941, 547, 2263, 543, 9446, 267, 3132, 6216, 1007, 4798, 609, 513, 5969, 12967, 6891, 563, 290, 14712, 26741, 1284, 3058, 454, 763, 772, 660, 5689, 323, 9618, 529, 267, 610, 4342, 601, 1200, 10249, 267, 540, 918, 778, 577, 327, 4043, 606, 2949, 2551, 538, 4430, 540, 476, 1015, 267, 1822, 4342, 1564, 269, 1280, 5756, 1200, 1858, 814, 5249, 609, 4342, 1564, 547, 3895, 10683, 543, 607, 4483, 269, 12815, 7394, 1143, 2306, 909, 827, 6266, 540, 24454, 538, 918, 778, 577, 327, 269, 1280, 1296, 267, 5689, 323, 9618, 529, 17663, 6721, 4342, 601, 15144, 1813, 547, 741, 1378, 19752, 267, 607, 3382, 902, 609, 741, 4342, 1564, 610, 6148, 585, 1688, 321, 4711, 547, 3180, 519, 2754, 779, 25584, 563, 290, 14712, 29009, 1235, 538, 918, 778, 577, 327, 27057, 1995, 606, 5044, 540, 6937, 269, 13207, 1456, 21737, 2409, 4865, 3366, 547, 513, 7771, 538, 15624, 5095, 267, 543, 4342, 1564, 1100, 3476, 2709, 2059, 609, 891, 1004, 2899, 1705, 269, 1703, 6157, 568, 606, 14849, 991, 6157, 547, 7110, 891, 24454, 543, 547, 18359, 519, 4423, 2692, 528, 3125, 4342, 601, 2950, 269, 918, 5069, 4275, 23717, 338, 6682, 601, 26741, 4305, 568, 1175, 835, 513, 851, 540, 513, 3818, 17376, 784, 539, 5114, 547, 891, 9465, 269, 9282, 6140, 8246, 585, 2898, 5144, 543, 6283, 267, 4342, 1564, 1020, 2298, 15144, 602, 568, 2731, 18241, 267, 1216, 15033, 543, 9090, 14463, 269, 1411, 666, 946, 621, 1020, 17234, 267, 15790, 1115, 543, 3652, 269, 2859, 334, 1197, 267, 3605, 606, 5863, 991, 585, 741, 3339, 7990, 269, 901, 15144, 4865, 2688, 3320, 10150, 1447, 8415, 676, 29009, 1235, 267, 543, 568, 513, 1434, 2619, 1141, 789, 949, 5150, 3063, 6666, 563, 23173, 1564, 4043, 547, 581, 1352, 1563, 12422, 267, 1063, 4728, 543, 4989, 267, 1318, 1354, 519, 1376, 4832, 269, 6682, 601, 15144, 568, 10792, 543, 3568, 1507, 1570, 267, 799, 6799, 7965, 3823, 1312, 556, 8586, 543, 5137, 540, 9543, 267, 813, 28328, 1697, 17234, 563, 298, 778, 577, 6062, 649, 28316, 3335, 1267, 689, 519, 3057, 342, 3385, 543, 8575, 1127, 342, 926, 2127, 269, 634, 8575, 1127, 327, 8705, 529, 5912, 539, 538, 547, 519, 4739, 540, 544, 1662, 549, 334, 267, 1247, 3057, 342, 3385, 5654, 616, 2221, 1134, 8153, 607, 918, 778, 577, 6062, 22805, 269, 901, 2146, 568, 9090, 8465, 267, 8888, 18955, 17234, 267, 5958, 543, 3574, 1740, 10876, 538, 918, 778, 577, 327, 563, 2171, 28316, 616, 23939, 4448, 8739, 324, 1595, 1227, 741, 7404, 7218, 267, 519, 13259, 15077, 267, 14076, 1584, 338, 267, 543, 15887, 30213, 269, 3962, 649, 11232, 2899, 729, 5963, 5532, 609, 513, 15887, 926, 1920, 2818, 267, 945, 3761, 20612, 689, 13265, 543, 23161, 269, 8092, 16973, 899, 13259, 15077, 3540, 1242, 737, 8403, 6986, 10412, 267, 799, 1500, 18955, 2326, 585, 6186, 12308, 338, 543, 2212, 613, 541, 269, 2701, 788, 543, 23820, 15144, 1185, 1044, 585, 1654, 2812, 267, 32293, 267, 695, 1177, 3149, 543, 29198, 269, 634, 6163, 18955, 883, 918, 778, 577, 6062, 18955, 2326, 616, 25623, 689, 15473, 7247, 21039, 538, 782, 540, 873, 267, 18187, 908, 519, 1628, 540, 5283, 617, 1190, 7574, 7405, 267, 519, 3268, 540, 606, 3662, 15624, 267, 3092, 269, 634, 10297, 585, 18305, 899, 642, 752, 6062, 14623, 267, 11024, 636, 4157, 327, 267, 2893, 330, 8643, 267, 554, 27821, 267, 610, 546, 3128, 7288, 4043, 547, 581, 859, 25607, 593, 519, 856, 2391, 6119, 269, 0, 30706, 2094, 519, 2699, 18752, 540, 8106, 1148, 538, 519, 11193, 267, 519, 562, 8775, 729, 2808, 519, 533, 4883, 12386, 540, 3864, 968, 14683, 1148, 1848, 898, 729, 676, 2484, 519, 1034, 2442, 1641, 693, 519, 5993, 6428, 517, 14266, 267, 607, 568, 8612, 676, 713, 20419, 676, 20707, 636, 1512, 6029, 1079, 2021, 693, 606, 14266, 267, 5360, 8724, 281, 968, 26170, 811, 10469, 4926, 713, 1032, 2507, 2141, 10469, 4926, 256, 2507, 607, 952, 972, 941, 1022, 2021, 3710, 899, 602, 256, 2223, 454, 2026, 20707, 636, 1512, 779, 2021, 7747, 267, 519, 4081, 562, 8775, 729, 10355, 968, 9418, 2065, 1848, 901, 568, 1317, 4081, 5159, 941, 8036, 547, 4998, 1125, 519, 1560, 676, 4974, 8106, 18810, 543, 2025, 4487, 10367, 269, 634, 17114, 540, 741, 5515, 941, 4397, 547, 581, 4998, 267, 543, 741, 2960, 729, 4397, 547, 581, 5347, 543, 16950, 1652, 630, 7224, 4191, 540, 4552, 267, 610, 4376, 602, 1522, 1118, 721, 1589, 540, 4376, 2150, 578, 731, 1040, 3938, 321, 564, 267, 543, 1010, 24288, 3798, 537, 731, 2494, 564, 267, 1305, 856, 547, 1689, 782, 602, 563, 290, 712, 321, 564, 13556, 1896, 5961, 540, 562, 8775, 536, 1430, 338, 267, 799, 729, 513, 9135, 3810, 9833, 676, 519, 9142, 269, 1809, 3938, 321, 564, 779, 562, 8775, 5515, 941, 1483, 267, 2864, 982, 4998, 2443, 799, 28280, 1010, 9458, 269, 3571, 2021, 941, 3170, 267, 543, 1185, 1560, 4552, 267, 950, 562, 26360, 941, 4397, 547, 581, 23679, 8167, 539, 267, 543, 12347, 8737, 630, 7224, 4191, 540, 1560, 4552, 267, 9684, 596, 32656, 901, 7206, 540, 513, 536, 1430, 538, 519, 18137, 2813, 513, 2565, 909, 549, 541, 950, 621, 729, 17820, 693, 519, 6428, 517, 540, 476, 6977, 274, 912, 10527, 18048, 26290, 11726, 928, 5548, 659, 549, 1460, 267, 513, 4759, 540, 519, 6428, 517, 21139, 267, 632, 680, 1819, 968, 1492, 5175, 3258, 640, 540, 519, 3029, 2223, 799, 1705, 711, 14883, 547, 519, 4998, 1242, 562, 26360, 540, 14288, 1148, 269, 31379, 6829, 741, 29832, 755, 693, 519, 18660, 3952, 540, 519, 3631, 607, 1134, 607, 519, 15468, 6006, 532, 540, 519, 27206, 2203, 267, 2938, 607, 30118, 1738, 540, 2168, 607, 1134, 607, 5837, 2695, 531, 528, 269, 1879, 19167, 8633, 4718, 519, 7206, 693, 519, 6428, 517, 267, 646, 16957, 569, 905, 11220, 627, 6235, 519, 12765, 4169, 540, 519, 7555, 562, 8775, 609, 1010, 14964, 7693, 3034, 5649, 519, 6476, 693, 634, 691, 32143, 3820, 912, 10955, 537, 731, 2494, 564, 4553, 519, 7464, 626, 3741, 540, 3938, 321, 564, 543, 729, 15747, 538, 519, 1646, 540, 519, 6764, 1833, 626, 3350, 269, 901, 7206, 729, 1759, 593, 16902, 690, 7748, 779, 12815, 7394, 6641, 21620, 267, 799, 2494, 564, 1185, 25343, 538, 519, 7200, 341, 516, 269, 2755, 717, 1640, 326, 7748, 779, 4605, 568, 513, 14810, 267, 2494, 564, 4547, 519, 1641, 909, 547, 4266, 676, 9446, 532, 1079, 2367, 538, 4207, 10571, 267, 10483, 676, 513, 21736, 4807, 538, 513, 8303, 1014, 6288, 2336, 10048, 564, 779, 7206, 729, 2760, 17820, 693, 519, 4013, 6428, 517, 2094, 621, 1185, 1044, 15653, 676, 519, 6428, 517, 21139, 282, 855, 621, 729, 17820, 693, 519, 4583, 6428, 517, 964, 4676, 4926, 267, 1141, 621, 2968, 519, 535 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2161, 568, 2048, 2080, 616, 519, 3157, 610, 519, 2409, 602, 596, 946, 10200, 7536, 21659, 2581, 814, 11368, 519, 4480, 883, 1010, 3450, 269, 769, 3397, 1026, 5350, 5004, 476, 31973, 267, 513, 1698, 7723, 1576, 267, 835, 1788, 3340, 2875, 6887, 547, 5659, 9541, 609, 713, 1935, 563, 763, 1353, 267, 834, 8256, 11962, 16843, 305, 543, 715, 11901, 24419, 902, 257, 676, 14811, 517, 808, 269, 7605, 2581, 267, 8834, 808, 269, 31550, 543, 7917, 808, 269, 3733, 619, 267, 7902, 538, 519, 16581, 16010, 5623, 630, 10619, 263, 275, 2567, 275, 4200, 268, 276, 1724, 1040, 0, 22818, 711, 2094, 519, 15470, 5006, 2395, 540, 519, 12019, 2782, 814, 454, 1492, 2136, 2276, 2877, 971, 606, 2500, 1259, 547, 454, 10919, 6510, 547, 1004, 1472, 519, 1158, 607, 519, 20429, 540, 454, 25567, 320, 267, 519, 2229, 779, 4013, 31076, 3028, 563, 4517, 693, 1100, 942, 2094, 1287, 814, 972, 1044, 513, 8338, 942, 547, 454, 7712, 922, 20297, 538, 476, 3707, 273, 267, 20429, 540, 3013, 814, 1044, 454, 320, 536, 770, 542, 540, 4760, 2065, 17284, 1472, 519, 1158, 2676, 321, 5802, 26511, 6662, 3377, 5359, 538, 2296, 3842, 2110, 454, 24859, 5925, 269, 6736, 606, 2799, 6578, 267, 519, 4604, 540, 454, 326, 4261, 832, 949, 581, 5969, 519, 2296, 1893, 454, 32491, 2719, 1394, 15186, 2676, 341, 7398, 1302, 14874, 621, 454, 517, 1082, 17407, 563, 763, 4604, 568, 2519, 1631, 593, 9682, 8613, 543, 454, 1492, 5769, 267, 519, 2923, 602, 621, 15109, 547, 581, 519, 454, 763, 4604, 779, 4661, 547, 2759, 1394, 593, 2296, 25082, 454, 321, 5802, 4751, 338, 2306, 930, 2631, 267, 607, 621, 6499, 547, 2333, 454, 333, 894, 25082, 31076, 547, 2127, 540, 4655, 971, 454, 553, 519, 5664, 5101, 269, 1306, 5892, 5941, 630, 5408, 1650, 994, 1492, 772, 2529, 269, 568, 9561, 519, 2112, 540, 8226, 538, 602, 26750, 563, 2005, 1590, 6157, 2232, 519, 2152, 540, 6932, 2923, 454, 663, 519, 3255, 547, 3914, 811, 1004, 563, 3383, 1946, 711, 4228, 966, 29151, 547, 2743, 519, 1699, 6639, 454, 663, 2686, 2115, 538, 1769, 540, 519, 2152, 519, 772, 2529, 563, 5865, 286, 769, 1804, 851, 267, 519, 2782, 593, 28015, 568, 513, 2112, 540, 454, 728, 553, 269, 634, 966, 29151, 3788, 606, 1898, 28627, 538, 1818, 454, 338, 675, 938, 2093, 3914, 607, 1082, 10772, 607, 2009, 269, 0, 18794, 645, 3626, 1299, 674, 3626, 593, 9365, 454, 14110, 12710, 593, 9365, 454, 32051, 19964, 281, 645, 3626, 543, 674, 3626, 1565, 454, 312, 528, 18866, 568, 835, 540, 519, 1034, 2442, 4654, 538, 4639, 4000, 267, 711, 1175, 13280, 269, 898, 568, 849, 9275, 538, 2694, 540, 519, 17113, 543, 2342, 269, 769, 4639, 4000, 621, 568, 9275, 676, 693, 2547, 476, 736, 2929, 1004, 269, 1924, 979, 2560, 15566, 2542, 454, 7476, 707, 3214, 547, 6443, 674, 3626, 607, 1352, 16137, 547, 1293, 689, 476, 272, 547, 476, 1015, 538, 16384, 2692, 267, 513, 7986, 30645, 1893, 563, 763, 3390, 540, 3979, 3778, 568, 513, 1360, 1271, 835, 269, 1677, 1312, 20338, 543, 1875, 20338, 269, 634, 6935, 1063, 1082, 3979, 6082, 543, 602, 540, 741, 608, 7810, 18544, 630, 543, 930, 1131, 2161, 789, 616, 1869, 938, 7810, 2560, 15566, 2542, 0, 1607, 15726, 7704, 2257, 1770, 2882, 3992, 4566, 543, 2502, 2326, 269, 15206, 1053, 786, 5659, 543, 4612, 1239, 607, 789, 1451, 827, 519, 2115, 540, 9390, 543, 26868, 2831, 269, 898, 568, 13988, 547, 15726, 7704, 543, 26779, 2257, 543, 4702, 2853, 267, 3444, 24408, 1154, 2035, 267, 30095, 4295, 2093, 267, 543, 2773, 6788, 563, 28012, 1382, 3744, 538, 707, 1360, 1378, 4928, 2336, 1103, 713, 1770, 267, 1053, 786, 912, 1892, 946, 1382, 2326, 630, 3667, 267, 11147, 264, 547, 5659, 543, 4612, 1239, 454, 1892, 2224, 519, 1239, 6394, 543, 9916, 547, 1413, 585, 3270, 454, 514, 519, 2115, 540, 9390, 543, 26868, 2831, 454, 1607, 1770, 2882, 912, 1892, 10932, 10049, 630, 21900, 21106, 267, 5517, 21998, 267, 18044, 21998, 994, 1892, 24145, 2329, 22627, 630, 5649, 1325, 10796, 267, 32655, 5675, 267, 20308, 5675, 994, 1892, 305, 17128, 10128, 476, 274, 7516, 540, 15726, 7704, 547, 6218, 2875, 960, 454, 1892, 10112, 20156, 24920, 10128, 476, 274, 7516, 540, 15726, 7704, 454, 29605, 2877, 585, 15726, 7704, 12389, 12085, 281, 1548, 12292, 10261, 454, 1892, 5472, 2326, 3769, 454, 1892, 20663, 547, 4159, 3606, 4950, 2200, 630, 31904, 3769, 264, 568, 18593, 563, 2791, 949, 849, 581, 5461, 538, 912, 29670, 12085, 281, 1548, 12518, 10261, 630, 298, 6441, 306, 272, 268, 272, 994, 2171, 1430, 281, 589, 15206, 15726, 7704, 5149, 454, 2690, 576, 543, 29568, 281, 1323, 15726, 7704, 5149, 454, 16631, 2871, 3660, 7335, 5149, 585, 15726, 7704, 281, 16661, 454, 298, 268, 273, 15726, 7704, 13241, 5149, 281, 7433, 674, 753, 454, 9202, 19087, 3163, 11621, 5403, 619, 454, 2690, 2859, 27084, 593, 15726, 7704, 912, 293, 12767, 8921, 19087, 3163, 11621, 10670, 1676, 781, 6651, 454, 293, 12767, 15726, 7704, 11137, 966, 22432, 302, 0, 18661, 18897, 25245, 19088, 1108, 454, 301, 16017, 3733, 2195, 543, 6181, 1742, 454, 292, 19520, 3798, 6767, 25245, 19088, 1108, 301, 16017, 267, 25655, 610, 32090, 13299, 13408, 519, 6805, 840, 268, 22146, 4984, 267, 4978, 543, 17691, 540, 563, 8649, 7571, 23357, 910, 16179, 16629, 8688, 9218, 2986, 25245, 19088, 1656, 26499, 1433, 2228, 693, 1655, 5777, 538, 3127, 593, 8835, 23357, 269, 3367, 16629, 8688, 9218, 2986, 25245, 19088, 1656, 26499, 1433, 563, 305, 1725, 541, 758, 25245, 19088, 1108, 13095, 514, 301, 16017, 13299, 568, 519, 1560, 540, 13299, 540, 519, 3345, 27272, 1004, 31827, 689, 25245, 25384, 1143, 543, 11173, 1310, 519, 4168, 1436, 540, 22778, 807, 563, 763, 17691, 540, 519, 25245, 543, 27272, 4525, 540, 2342, 1331, 513, 3376, 2039, 540, 26704, 3197, 543, 4025, 267, 689, 13095, 514, 543, 18897, 267, 547, 536, 619, 17064, 619, 543, 4406, 327, 718, 320, 267, 547, 11053, 1856, 281, 16629, 8688, 9218, 2986, 25245, 19088, 1656, 26499, 8191, 281, 27055, 553, 4591, 345, 2006, 13595, 281, 8732, 8688, 8675, 540, 6862, 572, 7242, 543, 10828, 27511, 281, 3367, 6732, 8732, 8688, 12991, 16017, 19088, 1108, 7710, 519, 9589, 14868, 543, 17691, 540, 16157, 11783, 2026, 728, 689, 519, 4937, 267, 20096, 9710, 2928, 267, 7216, 26135, 267, 543, 19744, 6810, 267, 891, 6402, 616, 6896, 676, 3148, 543, 1893, 1895, 563, 301, 16017, 543, 27272, 19088, 1108, 454, 11990, 8176, 667, 3326, 2006, 454, 17138, 7392, 8732, 8688, 8675, 540, 2413, 7819, 1686, 7300, 8732, 8688, 10026, 2930, 543, 10611, 564, 2454, 13977, 1079, 5929, 25245, 14868, 538, 2312, 267, 10694, 18340, 11783, 17138, 281, 16629, 8688, 9218, 2986, 25245, 19088, 1656, 26499, 8191, 281, 10127, 514, 13391, 1512, 13595, 281, 8732, 8688, 8675, 540, 6862, 572, 7242, 543, 10828, 27511, 281, 3367, 6732, 8732, 8688, 8675, 269, 8448, 25315, 956, 281, 25245, 7242, 543, 10828, 267, 16629, 8688, 8675, 540, 25245, 7242, 543, 10828, 12991, 16017, 13299, 267, 610, 32090, 13299, 267, 568, 519, 1560, 540, 13299, 540, 519, 3345, 27272, 1004, 31827, 689, 25245, 25384, 1143, 563, 1103, 25245, 13299, 267, 590, 10176, 1495, 568, 513, 5869, 4171, 1650, 568, 5143, 538, 519, 563, 289, 987, 800, 10552, 9605, 12280, 303, 754, 1218, 538, 513, 10058, 3337, 8204, 519, 17200, 540, 18897, 630, 4385, 538, 25245, 2959, 607, 5861, 1478, 532, 5215, 540, 1296, 540, 6946, 5137, 8941, 267, 589, 9218, 540, 20520, 3733, 2195, 568, 519, 1101, 543, 1034, 3102, 960, 13991, 547, 5137, 14868, 689, 563, 301, 16017, 19088, 1108, 5253, 454, 293, 523, 337, 597, 25245, 19088, 1108, 454, 21652, 1504, 540, 25245, 19088, 1108, 2433, 3627, 14811, 578, 2433, 476, 7818, 14991, 2568, 278, 24241, 273, 454, 1320, 528, 543, 700, 758, 328, 25245, 19088, 1108, 454, 7069, 2195, 267, 6181, 1742, 267, 543, 32445, 661, 521, 521, 32318, 521, 522, 562, 6196, 715, 610, 338, 552, 543, 9986, 546, 1621, 15073, 521, 554, 700, 1775, 512, 2144, 693, 579, 556, 538, 12968, 712, 540, 2977, 562, 21025, 4883, 14248, 901, 2985, 17543, 2451, 10145, 563, 18661, 25245, 19088, 1108, 700, 758, 328, 15722, 7321, 290, 553, 8688, 9218, 540, 25245, 19088, 543, 26499, 676, 29871, 2107, 577, 731, 267, 476, 7818, 27157, 275, 3607, 4343, 276, 279, 267, 2139, 693, 3883, 3493, 12141, 609, 1863, 6765, 5001, 563, 763, 28445, 4165, 11618, 13565, 9293, 14271, 11618, 26499, 15545, 630, 301, 16017, 13299, 264, 519, 25245, 15743, 602, 9856, 539, 513, 14951, 543, 729, 5861, 553, 8688, 9218, 540, 25245, 19088, 543, 26499, 814, 476, 3393, 16863, 543, 476, 275, 8039, 269, 715, 11482, 269, 1767, 281, 2755, 25879, 2407, 540, 1344, 827, 25245, 19088, 1108, 267, 594, 1336, 519, 561, 269, 2704, 325, 25575, 325, 729, 519, 2012, 540, 513, 4622, 540, 25245, 10828, 945, 729, 15653, 6185, 5877, 543, 3367, 16629, 8688, 9218, 2986, 25245, 19088, 1656, 26499, 16638, 519, 2013, 540, 3751, 14880, 267, 10828, 543, 5168, 616, 1419, 538, 2169, 878, 762, 563, 291, 5315, 2986, 7186, 3733, 2195, 6181, 1742, 2986, 634, 3047, 7256, 1656, 21708, 910, 9930, 331, 321, 269, 12516, 31343, 1952, 2593, 8675, 540, 2470, 14868, 17691, 540, 519, 3618, 4262, 543, 910, 519, 8675, 540, 2470, 11053, 1856, 281, 16629, 8688, 338, 9218, 2986, 25245, 19088, 1656, 26499, 8191, 281, 18466, 548, 2142, 14982, 13595, 281, 8732, 8688, 338, 8675, 540, 6862, 572, 7242, 543, 10828, 27511, 281, 3367, 6732, 8732, 8688, 338, 269, 0, 1692, 547, 2328, 606, 1557, 593, 15257, 454, 763, 8945, 547, 1603, 513, 25349, 26249, 568, 547, 2015, 707, 1367, 1272, 2833, 689, 513, 9962, 5133, 7819, 1914, 6048, 524, 530, 2431, 14200, 267, 538, 269, 24205, 1557, 1603, 3028, 910, 15257, 1557, 1603, 3028, 4367, 519, 1888, 540, 15257, 568, 835, 540, 519, 1034, 14053, 5396, 543, 621, 568, 5702, 269, 10749, 875, 15257, 2328, 547, 5378, 943, 323, 4744, 31277, 1775, 991, 948, 1603, 606, 1557, 20410, 9627, 4744, 31277, 2495, 538, 7005, 4483, 2875, 1557, 538, 7005, 269, 5675, 513, 1434, 15257, 1557, 3340, 1434, 1603, 1983, 267, 1651, 529, 633, 1382, 267, 3280, 7744, 267, 10388, 4661, 566, 543, 2565, 3206, 971, 606, 1557, 1058, 563, 16240, 15257, 3594, 3340, 930, 4052, 1995, 4444, 15257, 1557, 5439, 689, 2228, 2688, 1603, 3028, 547, 1451, 875, 547, 798, 621, 1318, 269, 4828, 513, 1544, 547, 2328, 15257, 875, 632, 4895, 476, 1704, 267, 476, 1001, 278, 7711, 476, 272, 281, 2537, 10681, 1946, 4984, 568, 3983, 1557, 31047, 1379, 540, 1913, 1557, 544, 335, 274, 2110, 1557, 827, 9194, 3109, 269, 5441, 16075, 3594, 562, 1440, 875, 547, 2328, 513, 15257, 1557, 1434, 2081, 547, 1376, 513, 10388, 1557, 536, 7714, 340, 1273, 4459, 642, 549, 2674, 12031, 269, 634, 840, 2914, 3876, 5123, 540, 2870, 606, 1557, 3322, 3257, 513, 2603, 540, 1382, 2638, 856, 519, 1585, 25349, 6436, 856, 972, 543, 3442, 513, 6249, 585, 707, 1557, 596, 269, 21436, 1894, 3594, 948, 1603, 513, 15257, 1557, 1557, 945, 993, 1775, 607, 513, 5856, 12031, 7493, 338, 2228, 4294, 23316, 563, 1692, 547, 2328, 606, 1557, 593, 15257, 454, 306, 1539, 1108, 1557, 1603, 948, 952, 596, 616, 3168, 585, 3318, 948, 609, 707, 15257, 3594, 267, 5225, 1289, 721, 1631, 269, 5788, 519, 2034, 540, 1079, 5496, 4751, 338, 7713, 875, 547, 2328, 2500, 3594, 585, 513, 4882, 543, 513, 1377, 15257, 269, 5675, 513, 1434, 15257, 1557, 3340, 1434, 1603, 1983, 267, 1651, 529, 633, 1382, 267, 3280, 7744, 267, 10388, 4661, 566, 267, 543, 2565, 3206, 971, 606, 1557, 1058, 2057, 9186, 267, 21603, 640, 267, 543, 2915, 2742, 267, 855, 3079, 267, 1058, 581, 6662, 543, 2312, 267, 1247, 1666, 532, 922, 8753, 593, 8903, 2963, 269, 5081, 476, 6200, 7548, 556, 2096, 619, 4367, 547, 15257, 2887, 476, 1001, 274, 1557, 1603, 7084, 476, 272, 281, 519, 25349, 5133, 563, 1607, 2022, 3091, 930, 5796, 593, 875, 596, 1522, 1544, 543, 2328, 3594, 538, 519, 513, 1377, 15257, 11400, 519, 15257, 513, 1377, 981, 281, 2489, 23456, 585, 1603, 269, 24205, 1557, 3898, 950, 1603, 713, 1557, 1826, 596, 723, 547, 2628, 513, 2027, 3007, 547, 3898, 4170, 15257, 1557, 3898, 568, 10169, 2027, 607, 3379, 547, 824, 1557, 2010, 519, 1448, 568, 602, 15257, 3594, 1360, 1419, 2270, 7515, 543, 11708 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1422, 10339, 4433, 18750, 318, 272, 4297, 1341, 512, 18750, 318, 272, 13211, 17910, 25410, 8679, 16465, 3602, 1269, 338, 7268, 10383, 7751, 543, 1269, 339, 7268, 10383, 7751, 616, 18440, 543, 8144, 3252, 267, 6606, 267, 543, 4399, 617, 582, 259, 18575, 3693, 30150, 8691, 269, 634, 7004, 568, 538, 3200, 1043, 267, 543, 519, 15243, 1014, 24572, 666, 581, 17223, 7561, 607, 912, 16465, 13375, 347, 1422, 30956, 1422, 2765, 3189, 14783, 1535, 7346, 14783, 1990, 348, 1422, 2431, 347, 815, 1422, 10339, 13375, 7268, 8999, 3709, 328, 348, 521, 18750, 318, 272, 264, 318, 328, 1422, 2431, 1916, 9681, 2162, 667, 1853, 10885, 3687, 574, 1436, 692, 291, 1853, 10885, 6922, 1436, 568, 513, 4480, 585, 2866, 3339, 1944, 8928, 547, 16977, 513, 2016, 3077, 3892, 269, 634, 2856, 568, 547, 7413, 519, 918, 1638, 3724, 30071, 756, 2401, 630, 298, 299, 264, 27754, 1063, 519, 3077, 3892, 543, 519, 3892, 13251, 676, 519, 3339, 1944, 2095, 269, 634, 918, 299, 27754, 568, 3989, 607, 912, 16465, 291, 3709, 298, 299, 12917, 335, 13466, 7117, 264, 815, 1422, 842, 533, 3287, 264, 1422, 8421, 1422, 2765, 22669, 3287, 20972, 336, 3287, 14587, 15848, 2676, 16465, 3602, 1269, 335, 3287, 7751, 568, 519, 3077, 3892, 543, 1269, 336, 3287, 7751, 568, 519, 3892, 13251, 676, 519, 3339, 1944, 2095, 780, 14737, 30093, 519, 918, 299, 27754, 568, 6697, 547, 21924, 519, 2845, 2000, 1731, 9685, 540, 519, 3077, 3892, 896, 519, 3339, 1944, 2095, 269, 901, 666, 581, 2944, 1210, 32094, 13506, 16350, 630, 306, 31270, 264, 676, 7384, 519, 13506, 540, 519, 2845, 2000, 1731, 9685, 609, 2463, 547, 519, 6724, 540, 519, 3339, 1944, 2095, 780, 2162, 7151, 281, 631, 1638, 518, 15783, 692, 2414, 9414, 891, 2035, 267, 1577, 781, 2015, 606, 1383, 1141, 649, 946, 513, 3339, 1944, 2095, 547, 16977, 519, 631, 1638, 518, 1761, 269, 634, 631, 1638, 518, 1761, 568, 513, 1079, 8820, 1761, 1648, 2627, 602, 568, 1419, 1031, 607, 513, 1449, 2013, 585, 7636, 6384, 13502, 269, 898, 568, 3989, 607, 912, 16465, 308, 3287, 267, 586, 264, 815, 1422, 8999, 3709, 328, 284, 272, 8703, 275, 348, 589, 10983, 1422, 10339, 13375, 5416, 10983, 3287, 910, 1535, 10983, 8203, 273, 1341, 536, 10983, 3287, 910, 1535, 10983, 7565, 344, 910, 586, 10983, 264, 1341, 524, 10983, 12169, 910, 586, 10983, 8203, 273, 1422, 2431, 13211, 16465, 3602, 1269, 288, 10983, 8961, 1269, 320, 10983, 8961, 1269, 321, 10983, 8961, 1269, 322, 10983, 8961, 1269, 343, 10983, 8961, 543, 1269, 344, 10983, 259, 616, 21635, 780, 2414, 16977, 519, 631, 1638, 518, 1761, 1210, 513, 3339, 1944, 2095, 267, 649, 991, 547, 12337, 519, 1648, 540, 513, 2016, 3732, 1269, 343, 259, 1210, 519, 1761, 1599, 543, 1287, 946, 713, 1648, 547, 12337, 519, 918, 299, 27754, 1063, 519, 3077, 3892, 543, 519, 3892, 13251, 676, 519, 3339, 1944, 2095, 780, 2080, 781, 519, 5124, 3009, 547, 798, 713, 1384, 3499, 7090, 454, 5814, 23290, 454, 5814, 23290, 6155, 626, 1026, 1903, 607, 14778, 454, 5814, 11885, 607, 5286, 454, 5814, 4584, 548, 454, 5814, 21267, 28272, 607, 12301, 692, 258, 16294, 519, 1761, 1599, 454, 3698, 12337, 318, 300, 1638, 518, 7272, 582, 1113, 263, 10401, 267, 1535, 2187, 825, 589, 815, 5286, 15126, 8443, 268, 1220, 267, 910, 1911, 267, 910, 10204, 267, 476, 1428, 7481, 825, 513, 815, 5286, 15126, 8443, 268, 272, 267, 910, 272, 267, 910, 277, 269, 276, 267, 476, 271, 269, 278, 7481, 825, 536, 815, 5286, 15126, 8443, 271, 267, 476, 271, 267, 476, 1556, 267, 476, 271, 269, 277, 7481, 825, 524, 815, 5286, 15126, 8443, 268, 1015, 267, 910, 1015, 267, 910, 277, 269, 276, 267, 476, 271, 269, 278, 7481, 825, 1535, 271, 815, 5286, 15126, 8443, 272, 267, 476, 271, 267, 910, 271, 269, 276, 267, 910, 272, 7481, 825, 586, 271, 815, 5286, 15126, 8443, 271, 267, 476, 271, 269, 276, 267, 476, 272, 269, 276, 267, 476, 272, 20285, 825, 1648, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263, 275, 2187, 1038, 1648, 6834, 589, 5157, 316, 2608, 5286, 269, 10339, 5416, 5157, 316, 2608, 630, 343, 18020, 476, 271, 316, 910, 1535, 271, 5157, 8079, 1262, 273, 1341, 536, 5157, 316, 2608, 630, 343, 18020, 476, 271, 316, 910, 1535, 271, 5157, 8079, 2608, 630, 343, 18020, 476, 272, 316, 910, 586, 271, 5157, 8079, 1341, 524, 5157, 316, 2608, 630, 343, 18020, 476, 272, 316, 910, 586, 271, 5157, 8079, 1262, 273, 2020, 825, 2132, 1648, 692, 258, 16294, 519, 3339, 1944, 2095, 454, 9418, 301, 29262, 815, 7464, 301, 29262, 10797, 258, 19461, 1125, 519, 667, 298, 299, 5044, 454, 291, 298, 299, 815, 20886, 316, 585, 9041, 538, 2039, 263, 1015, 22708, 30915, 14067, 788, 8217, 815, 29129, 258, 31230, 936, 1114, 2418, 540, 13672, 454, 1721, 13672, 538, 5286, 7456, 1231, 10628, 263, 271, 267, 476, 272, 267, 476, 1015, 2187, 825, 1948, 19461, 1125, 519, 3339, 3892, 454, 825, 3339, 5091, 626, 815, 14778, 12991, 5436, 263, 271, 269, 271, 267, 476, 272, 269, 271, 2020, 825, 1948, 31230, 936, 1114, 5439, 454, 825, 585, 678, 538, 2039, 263, 1015, 2187, 1038, 1948, 12726, 689, 519, 3339, 3892, 454, 1038, 1990, 815, 3339, 5091, 626, 4732, 2217, 9230, 1911, 876, 267, 476, 273, 11723, 1038, 1948, 8844, 519, 3732, 547, 519, 1482, 3926, 607, 519, 3339, 1944, 2095, 454, 1038, 1990, 30419, 263, 10113, 263, 9418, 301, 29262, 269, 12407, 4394, 3890, 1040, 22563, 823, 2020, 1038, 1948, 30770, 519, 7004, 543, 2845, 1673, 9057, 5364, 454, 1038, 609, 23290, 269, 7224, 14682, 2784, 10031, 2018, 1535, 267, 2845, 30956, 815, 1483, 301, 29262, 18750, 2020, 1038, 1948, 30770, 519, 1648, 540, 519, 3732, 1210, 519, 1761, 1599, 454, 1038, 1648, 815, 12337, 318, 300, 1638, 518, 7272, 582, 1113, 263, 10401, 267, 1535, 2020, 1038, 1948, 30770, 519, 918, 299, 27754, 1063, 519, 3077, 3892, 543, 519, 3892, 13251, 676, 519, 3339, 1944, 2095, 454, 1038, 667, 298, 299, 5334, 3263, 815, 23290, 27904, 3799, 5436, 5091, 626, 28802, 318, 22238, 18750, 1070, 910, 272, 264, 910, 2845, 30956, 1341, 1648, 454, 1038, 667, 298, 299, 19056, 815, 23290, 32557, 20573, 298, 299, 5334, 3263, 1040, 14403, 10797, 1038, 1948, 2561, 754, 519, 918, 299, 27754, 547, 519, 667, 298, 299, 5044, 454, 1038, 667, 298, 299, 15631, 272, 4940, 6572, 20573, 298, 299, 19056, 2020, 825, 1948, 16440, 519, 667, 298, 299, 5044, 543, 7329, 343, 14067, 788, 8217, 547, 513, 4584, 548, 3758, 454, 825, 667, 298, 299, 815, 5286, 15126, 20573, 298, 299, 994, 825, 667, 298, 299, 318, 11743, 815, 5286, 32557, 20573, 298, 299, 267, 910, 272, 994, 825, 667, 298, 299, 14067, 323, 815, 5286, 14714, 323, 20573, 298, 299, 267, 910, 272, 994, 825, 609, 1930, 6600, 2668, 270, 16059, 270, 534, 3315, 2763, 31200, 4671, 11712, 318, 2421, 7272, 582, 1113, 22230, 298, 299, 318, 10401, 3709, 10401, 15545, 274, 325, 20467, 335, 9383, 2580, 1412, 342, 321, 10807, 607, 3758, 318, 8518, 548, 912, 1038, 4584, 548, 6155, 2794, 20719, 262, 291, 298, 299, 9166, 291, 298, 299, 267, 1412, 30915, 14067, 788, 8217, 9166, 7329, 343, 14067, 788, 8217, 9574, 3758, 318, 8518, 548, 2020, 825, 1948, 18140, 519, 1611, 543, 3044, 11539, 540, 519, 918, 299, 27754, 454, 825, 4453, 815, 12301, 8807, 2682, 263, 271, 994, 825, 4453, 17085, 325, 4590, 825, 12301, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 526, 263, 30915, 14067, 788, 994, 13872, 1038, 585, 678, 538, 2039, 263, 1015, 2187, 2018, 3339, 5091, 626, 815, 14778, 12991, 5436, 263, 271, 269, 271, 267, 476, 272, 269, 271, 994, 2018, 1990, 815, 3339, 5091, 626, 4732, 2217, 9230, 1911, 876, 267, 476, 273, 4917, 2018, 1990, 30419, 263, 10113, 263, 9418, 301, 29262, 269, 12407, 4394, 3890, 1040, 22563, 823, 994, 2018, 609, 23290, 269, 7224, 14682, 2784, 10031, 3546, 1535, 267, 2845, 30956, 815, 1483, 301, 29262, 18750, 2020, 2018, 1648, 815, 12337, 318, 300, 1638, 518, 7272, 582, 1113, 263, 10401, 267, 1535, 994, 2018, 667, 298, 299, 5334, 3263, 815, 23290, 27904, 3799, 5436, 5091, 626, 28802, 318, 22238, 18750, 1070, 910, 272, 264, 910, 2845, 30956, 1341, 1648, 454, 2018, 667, 298, 299, 19056, 815, 23290, 32557, 20573, 298, 299, 5334, 3263, 1040, 14403, 4590, 2018, 667, 298, 299, 15631, 272, 4940, 6572, 20573, 298, 299, 19056, 994, 13872, 343, 318, 5228, 318, 345, 318, 30831, 25379, 4590, 345, 318, 5228, 13448, 318, 30831, 25379, 10797, 291, 298, 299, 815, 5286, 15126, 20573, 298, 299, 994, 291, 298, 299, 318, 11743, 815, 5286, 32557, 20573, 298, 299, 267, 910, 272, 994, 291, 298, 299, 14067, 323, 815, 5286, 14714, 323, 20573, 298, 299, 267, 910, 272, 994, 5976, 1930, 6600, 2668, 270, 16059, 270, 534, 3315, 2763, 31200, 4671, 11712, 318, 2421, 7272, 582, 1113, 22230, 298, 299, 318, 10401, 3709, 10401, 15545, 274, 325, 20467, 335, 9383, 2580, 1412, 342, 321, 10807, 607, 3758, 318, 8518, 548, 912, 825, 4584, 548, 6155, 2794, 20719, 262, 291, 298, 299, 9166, 291, 298, 299, 267, 1412, 30915, 14067, 788, 8217, 9166, 7329, 343, 14067, 788, 8217, 9574, 3758, 318, 8518, 548, 264, 1363, 692, 14808, 815, 12301, 8807, 2682, 263, 271, 994, 14808, 17085, 325, 4590, 10823, 269, 19587, 8663, 263, 30915, 14067, 788, 8217, 267, 667, 298, 299, 318, 11743, 267, 586, 20482, 815, 667, 298, 299, 14067, 323, 994, 10823, 4732, 1511, 14808, 6600, 2668, 270, 16059, 270, 534, 3315, 2763, 31200, 4671, 11712, 318, 2421, 7272, 582, 1113, 22230, 298, 299, 318, 10401, 3709, 10401, 15545, 274, 325, 20467, 10134, 5602, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1813, 547, 3668, 540, 9882, 543, 7372, 5666, 540, 22938, 3536, 602, 649, 8532, 563, 763, 824, 2601, 568, 1317, 540, 11216, 267, 891, 11216, 616, 9090, 3730, 1107, 855, 7368, 946, 540, 11216, 19754, 519, 7874, 4551, 267, 13604, 27200, 519, 3666, 563, 1607, 17522, 3123, 513, 3099, 540, 3676, 971, 607, 912, 268, 966, 698, 1400, 5563, 454, 268, 29956, 13165, 454, 268, 14627, 550, 897, 1091, 543, 2770, 454, 268, 4400, 8501, 2157, 454, 268, 15443, 5866, 13803, 5563, 454, 268, 7054, 761, 762, 15108, 6794, 454, 268, 14068, 7362, 543, 1560, 17627, 454, 268, 15867, 327, 985, 8376, 12580, 454, 268, 5548, 26359, 1646, 538, 1453, 454, 268, 18127, 9854, 543, 4017, 668, 9234, 22468, 454, 268, 29392, 9178, 543, 27731, 2068, 454, 268, 16164, 2042, 971, 607, 18383, 267, 26253, 543, 27728, 454, 268, 769, 11987, 15108, 2068, 630, 324, 3052, 269, 22377, 894, 897, 4345, 543, 15867, 18255, 779, 2068, 994, 268, 4477, 545, 14385, 623, 2643, 9461, 630, 295, 269, 623, 2643, 9461, 1070, 513, 24059, 602, 3123, 1034, 21385, 543, 1082, 2010, 540, 5312, 7181, 6553, 0, 29209, 4149, 7051, 18509, 1588, 769, 17073, 15863, 454, 10870, 867, 1588, 568, 513, 1883, 3693, 538, 6595, 3210, 269, 901, 1957, 6212, 593, 11558, 607, 621, 7018, 538, 513, 10315, 7400, 17073, 15051, 4741, 630, 292, 8016, 264, 1282, 513, 20533, 28575, 269, 634, 661, 8016, 568, 3743, 585, 29466, 267, 11449, 267, 543, 24317, 2200, 547, 519, 9568, 6429, 4433, 1040, 634, 661, 8016, 568, 606, 740, 554, 665, 2319, 1500, 909, 540, 2229, 8041, 267, 4357, 3549, 630, 328, 4318, 1421, 10506, 267, 20848, 267, 3092, 13776, 543, 1875, 3766, 21194, 8041, 269, 1452, 3375, 15670, 2097, 1927, 547, 4497, 538, 3860, 1966, 6061, 538, 1931, 547, 4194, 1419, 1950, 17825, 543, 11558, 2042, 3622, 896, 7920, 942, 2604, 1282, 513, 6385, 9687, 3510, 269, 16497, 4121, 689, 713, 3635, 5031, 11558, 2591, 1519, 12623, 13240, 1344, 2095, 267, 2067, 13337, 3515, 267, 5107, 543, 3252, 267, 1071, 2000, 6327, 2640, 267, 28928, 5718, 267, 27929, 3510, 4656, 267, 1344, 10525, 267, 4055, 1374, 267, 543, 2656, 4704, 2645, 563, 3682, 17503, 540, 519, 5274, 11790, 543, 8210, 12455, 15299, 5980, 454, 10831, 540, 9664, 454, 20684, 282, 18619, 7433, 454, 13126, 16286, 15745, 454, 300, 4106, 10314, 267, 23718, 717, 5919, 2372, 650, 267, 700, 4768, 773, 282, 543, 4793, 1562, 517, 267, 14667, 590, 1421, 834, 29209, 4149, 7051, 18509, 1588, 769, 17073, 15863, 257, 630, 1220, 276, 1040, 2480, 22455, 1401, 1636, 476, 1220, 271, 338, 269, 476, 29204, 272, 269, 0, 293, 272, 674, 273, 674, 274, 6693, 763, 1599, 10569, 616, 1336, 693, 519, 1283, 540, 519, 13691, 269, 1358, 2356, 723, 1079, 5301, 912, 268, 513, 3301, 1599, 630, 293, 272, 267, 674, 273, 267, 3092, 4700, 602, 5673, 593, 519, 1699, 3498, 454, 268, 513, 968, 14551, 2914, 1600, 892, 1198, 971, 607, 9013, 4320, 610, 21386, 454, 763, 3301, 1599, 568, 899, 11488, 513, 1852, 5365, 547, 519, 1699, 3498, 609, 513, 2582, 1883, 12304, 630, 7474, 568, 267, 1510, 17596, 513, 1110, 8595, 1883, 1916, 5278, 1883, 15236, 723, 513, 1599, 9376, 630, 325, 333, 9376, 264, 602, 547, 1375, 956, 519, 1599, 10569, 685, 7180, 1063, 3301, 610, 2182, 2914, 1600, 563, 2791, 949, 849, 581, 2111, 547, 946, 519, 1599, 1883, 535, 333, 607, 513, 1110, 8595, 1883, 547, 3442, 519, 824, 7180, 563, 31262, 10569, 666, 581, 1031, 1927, 609, 513, 1110, 8595, 1883, 563, 13349, 8837, 3252, 454, 19859, 7809, 8837, 814, 1808, 3096, 585, 519, 1599, 10569, 269, 634, 4890, 2962, 2443, 952, 1022, 2443, 786, 4096, 593, 799, 3498, 568, 4881, 630, 13757, 519, 1445, 264, 950, 596, 2046, 519, 1599, 1883, 269, 1452, 616, 930, 540, 519, 811, 3730, 14908, 563, 26180, 272, 1475, 1326, 948, 1344, 593, 519, 1699, 3498, 2008, 347, 5306, 293, 275, 1475, 29148, 519, 1699, 6885, 2008, 26180, 276, 1475, 10915, 3306, 610, 882, 1933, 2008, 26180, 278, 1475, 4944, 2454, 610, 8239, 2638, 347, 0, 22711, 281, 15474, 4317, 7827, 5889, 11366, 892, 2304, 5345, 6295, 21887, 454, 2026, 8268, 538, 519, 1101, 3018, 540, 713, 1576, 267, 972, 568, 711, 835, 2582, 4214, 585, 2474, 899, 1514, 5539, 543, 1514, 1689, 269, 1358, 616, 1950, 2035, 5462, 676, 2789, 2188, 269, 1411, 949, 1631, 5431, 930, 540, 519, 1883, 7700, 2188, 602, 1291, 547, 1514, 5539, 538, 2962, 269, 13201, 707, 3355, 1620, 540, 1514, 5539, 543, 1514, 1689, 7960, 998, 707, 960, 538, 713, 1576, 888, 1103, 713, 2063, 4750, 12143, 267, 596, 2992, 593, 875, 713, 1576, 7506, 707, 2949, 1620, 543, 1935, 547, 2318, 1514, 1689, 563, 2414, 5965, 585, 713, 12143, 912, 268, 5623, 9546, 6577, 2160, 5889, 23717, 338, 4937, 4065, 4804, 4934, 2492, 281, 12882, 11366, 385, 497, 27087, 5889, 11366, 538, 519, 28924, 16086, 269, 6333, 875, 519, 4937, 4065, 667, 7417, 303, 4211, 2203, 8329, 547, 707, 2702, 547, 3605, 543, 6218, 2093, 689, 1114, 5380, 267, 543, 568, 15747, 538, 707, 3356, 4724, 8236, 2123, 3853, 543, 1198, 532, 2318, 1514, 1689, 563, 268, 4860, 529, 527, 8847, 540, 1514, 5539, 3838, 538, 519, 10432, 476, 272, 17564, 538, 1769, 540, 782, 519, 1344, 596, 723, 2808, 2429, 713, 1576, 563, 268, 3367, 30667, 476, 1556, 543, 476, 1321, 538, 519, 700, 4141, 321, 630, 1001, 271, 264, 1576, 1257, 563, 268, 14484, 593, 519, 3635, 538, 7104, 2962, 6719, 676, 519, 6828, 5741, 269, 6056, 827, 519, 2640, 7104, 2962, 3091, 585, 6104, 5109, 519, 3853, 540, 519, 6828, 5741, 563, 2237, 513, 476, 274, 268, 547, 476, 275, 24733, 4588, 4760, 7127, 538, 799, 596, 13713, 5659, 519, 1871, 540, 7104, 2962, 538, 2324, 4724, 1514, 1689, 563, 268, 14674, 875, 707, 5133, 814, 7960, 610, 4957, 998, 713, 1576, 543, 875, 596, 3494, 621, 786, 3136, 547, 11457, 1310, 519, 1576, 563, 268, 1215, 814, 713, 1995, 6766, 707, 2702, 547, 1711, 2318, 1514, 1689, 3564, 519, 2165, 540, 713, 1576, 286, 0, 293, 2431, 523, 568, 547, 29057, 267, 799, 666, 581, 2944, 676, 1312, 3425, 543, 1875, 3620, 636, 753, 267, 1519, 538, 534, 1493, 3615, 269, 1280, 1383, 267, 519, 17178, 19225, 839, 1200, 269, 4746, 267, 6173, 2209, 19225, 523, 1864, 269, 7053, 267, 789, 616, 19225, 2989, 676, 519, 2219, 540, 1864, 563, 1320, 805, 523, 568, 547, 2161, 610, 957, 538, 513, 1259, 602, 2306, 1945, 610, 2576, 263, 17141, 513, 1480, 264, 1745, 899, 789, 616, 2469, 547, 1205, 10413, 2901, 15508, 610, 9308, 269, 1280, 1383, 267, 646, 5433, 12219, 676, 519, 1560, 31384, 269, 4746, 267, 519, 17794, 12219, 519, 17612, 540, 519, 20259, 7750, 338, 269, 7053, 267, 1352, 12219, 1864, 676, 10213, 1864, 602, 1352, 786, 5734, 1864, 952, 646, 1281, 602, 1586, 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 ]
[ 616, 1100, 16681, 7270, 610, 1514, 2923, 18537, 15673, 532, 596, 547, 1433, 707, 1985, 16314, 269, 5502, 267, 1804, 267, 18991, 11609, 19297, 10268, 538, 1857, 5624, 1131, 8141, 7279, 543, 8300, 32603, 331, 755, 1851, 1004, 269, 901, 729, 10502, 519, 2832, 540, 7977, 781, 2951, 19297, 1107, 547, 6338, 1761, 8436, 547, 922, 6909, 5898, 998, 12667, 4778, 267, 11495, 2592, 267, 543, 23406, 1462, 2762, 780, 4131, 781, 1413, 5702, 693, 1946, 891, 25447, 7969, 2951, 19297, 2968, 865, 2442, 543, 14909, 936, 942, 780, 9209, 2065, 12472, 543, 13910, 454, 10900, 14945, 2005, 6501, 2951, 19297, 23384, 1896, 14759, 2429, 519, 1296, 267, 10452, 2242, 538, 1312, 1148, 5322, 543, 10229, 2994, 269, 2311, 1101, 267, 9858, 16668, 6667, 689, 3203, 715, 537, 557, 879, 267, 799, 15091, 13576, 3515, 543, 5214, 5546, 1336, 538, 2470, 269, 13536, 267, 824, 6163, 971, 607, 28358, 584, 1143, 543, 10699, 1143, 3459, 12018, 519, 5920, 540, 891, 30572, 2326, 780, 9961, 713, 4720, 267, 5159, 9738, 513, 1445, 593, 1079, 1898, 2609, 281, 16134, 543, 7553, 269, 3962, 16968, 6322, 547, 18427, 4606, 2404, 609, 7977, 1765, 335, 6842, 267, 14246, 267, 10761, 267, 22471, 1006, 1765, 6112, 1869, 1373, 2653, 2614, 547, 1174, 693, 513, 16145, 269, 1635, 3257, 865, 267, 789, 6707, 13631, 519, 3007, 540, 1780, 619, 2421, 945, 1522, 1287, 5326, 827, 9683, 7977, 2933, 14693, 780, 296, 935, 545, 20121, 5209, 31209, 539, 454, 10900, 19567, 5278, 540, 7977, 781, 1034, 4583, 21056, 543, 4525, 12286, 30326, 1369, 891, 22099, 269, 6787, 621, 729, 519, 18198, 30917, 2059, 519, 2549, 2788, 328, 11076, 610, 519, 11509, 575, 1180, 15614, 540, 24131, 267, 1142, 4087, 6035, 1945, 2189, 543, 1303, 6005, 585, 17053, 17631, 780, 4322, 3308, 11269, 4847, 2043, 547, 4605, 2933, 7680, 3288, 12373, 576, 3857, 320, 630, 1492, 6653, 1272, 264, 1279, 1354, 27858, 543, 10097, 7477, 725, 2968, 28125, 269, 1306, 811, 1004, 4718, 891, 18136, 26007, 267, 3747, 8057, 585, 4890, 15143, 547, 7977, 267, 2417, 30740, 519, 991, 585, 1256, 811, 3860, 543, 13267, 30572, 1570, 780, 17484, 1005, 8177, 543, 11814, 1043, 10025, 454, 5785, 21387, 9213, 267, 1082, 540, 891, 3312, 7969, 2951, 19297, 30321, 1164, 5777, 693, 14193, 2388, 543, 25447, 15945, 1813, 547, 741, 678, 10846, 543, 3140, 2956, 269, 1717, 267, 3564, 13075, 1871, 267, 789, 4196, 607, 15889, 23106, 540, 7977, 781, 2250, 3646, 547, 2671, 922, 2528, 543, 2067, 26672, 528, 609, 519, 1964, 540, 519, 1158, 780, 2026, 596, 666, 1294, 267, 10229, 19297, 1404, 513, 2629, 1909, 538, 5935, 1004, 781, 11994, 543, 13821, 3823, 1585, 6753, 269, 1656, 1247, 2029, 814, 4957, 875, 6082, 2344, 2933, 2221, 267, 519, 1379, 540, 11617, 8903, 11247, 3788, 1175, 607, 2178, 1631, 607, 621, 1705, 513, 4627, 1296, 3516, 269, 1924, 267, 1985, 942, 596, 7237, 606, 10578, 16968, 267, 3314, 519, 2984, 3297, 891, 8748, 4773, 540, 1148, 543, 1589, 827, 519, 9909, 789, 6273, 538, 5481, 8854, 676, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2690, 5756, 267, 898, 8932, 2951, 19297, 723, 26970, 519, 1158, 609, 741, 7524, 4778, 267, 10875, 11052, 267, 543, 26837, 4192, 19259, 269, 1452, 11599, 19297, 723, 5129, 513, 1713, 1909, 538, 5009, 7969, 9235, 267, 15386, 519, 5898, 543, 27559, 540, 7977, 547, 17631, 2066, 519, 8608, 269, 3245, 519, 28677, 8916, 547, 519, 3638, 2686, 6561, 267, 898, 8932, 2951, 19297, 723, 1831, 15851, 6698, 540, 519, 2197, 779, 2189, 9029, 563, 763, 1686, 540, 898, 8932, 2951, 19297, 568, 513, 4241, 3460, 602, 15244, 1394, 547, 519, 2038, 476, 736, 628, 2540, 950, 789, 941, 1031, 607, 513, 3532, 6725, 1907, 547, 4482, 14666, 547, 7977, 269, 3683, 519, 1296, 267, 891, 19297, 723, 7960, 538, 2511, 543, 1374, 267, 10452, 519, 4657, 3466, 538, 1148, 543, 10229, 269, 4256, 11972, 1764, 593, 519, 9235, 2872, 814, 4396, 1881, 741, 1747, 607, 19644, 1568, 540, 1148, 563, 5804, 2549, 2788, 328, 11076, 547, 24131, 267, 898, 8932, 2951, 19297, 723, 9676, 930, 540, 519, 1034, 11599, 18353, 538, 7977, 267, 3246, 513, 19214, 883, 519, 2197, 779, 3309, 17008, 269, 774, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3849, 3200, 2358, 5403, 619, 257, 607, 851, 540, 834, 3198, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 5403, 619, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 519, 4190, 8916, 540, 3162, 3013, 256, 4653, 267, 649, 786, 2263, 930, 5863, 8925, 547, 519, 4583, 5549, 320, 20417, 538, 18475, 269, 1809, 1101, 267, 1577, 781, 1174, 1946, 1004, 2648, 10707, 543, 1565, 827, 1007, 4025, 865, 1454, 780, 5331, 9361, 693, 1753, 267, 6947, 547, 707, 2828, 2671, 741, 6909, 2833, 1247, 9683, 824, 2477, 269, 1358, 1522, 2911, 827, 26345, 3536, 267, 4241, 4529, 267, 18198, 5784, 267, 610, 5870, 7874, 17137, 269, 898, 4992, 899, 513, 2603, 540, 1187, 267, 1318, 286, 3767, 4952, 1373, 2111, 547, 723, 1346, 1482, 9035, 3054, 256, 2334, 781, 1018, 2306, 2951, 865, 2027, 780, 3086, 267, 519, 5549, 320, 20417, 568, 1634, 5001, 1317, 621, 5012, 554, 1731, 619, 547, 7557, 340, 20266, 32627, 267, 606, 3504, 2749, 3710, 1164, 909, 538, 519, 1656, 525, 15142, 269, 2755, 6972, 2059, 519, 13009, 666, 581, 606, 15813, 1995, 267, 972, 616, 849, 1082, 824, 9735, 3681, 547, 3605, 3162, 3013, 269, 2913, 781, 2638, 873, 856, 2439, 272, 269, 700, 4100, 7066, 330, 267, 18475, 454, 2252, 596, 1869, 1616, 547, 1745, 4448, 547, 519, 5549, 553, 855, 4782, 7864, 24921, 267, 1287, 519, 700, 4100, 7066, 330, 568, 3501, 585, 596, 256, 901, 8905, 3217, 596, 998, 2757, 3131, 12320, 1014, 14252, 1141, 2199, 11570, 5957, 10477, 7802, 543, 2226, 2025, 9821, 269, 1411, 949, 1256, 1294, 561, 4594, 553, 543, 620, 335, 659, 553, 887, 5446, 11884, 1472, 519, 1858, 269, 9578, 267, 1310, 1896, 2395, 540, 31939, 6362, 267, 596, 1205, 30039, 609, 10875, 5784, 540, 6777, 344, 10239, 543, 2881, 638, 18857, 12647, 1354, 8757, 744, 961, 656, 599, 339, 14781, 267, 513, 23406, 4884, 2282, 595, 639, 1723, 563, 273, 269, 590, 1779, 656, 599, 7066, 330, 267, 18475, 454, 1607, 4244, 3091, 811, 4763, 982, 1175, 7823, 4091, 7685, 282, 2503, 3388, 689, 6531, 7733, 31523, 609, 7320, 547, 12620, 7007, 19589, 26009, 1657, 596, 269, 18786, 2673, 547, 20703, 548, 335, 1092, 8498, 267, 596, 7930, 10841, 754, 2509, 519, 5207, 1448, 1572, 7442, 659, 2867, 320, 10426, 630, 275, 267, 7785, 7397, 270, 1428, 267, 6021, 273, 3952, 1070, 799, 2488, 31858, 25271, 642, 626, 553, 540, 6778, 590, 1779, 656, 599, 269, 30850, 267, 13956, 998, 1585, 8134, 2394, 6368, 11836, 519, 5549, 320, 20417, 2282, 10158, 961, 629, 31243, 547, 3914, 3397, 340, 553, 2836, 1304, 525, 543, 5555, 7557, 340, 20266, 32627, 3294, 563, 274, 269, 932, 13228, 3225, 4275, 334, 7066, 330, 267, 18475, 454, 2690, 1346, 5275, 7045, 1055, 7308, 15515, 22760, 1790, 987, 267, 2015, 3695, 932, 13228, 3225, 4275, 334, 9497, 290, 2784, 548, 540, 7108, 19823, 1419, 5219, 547, 607, 519, 11078, 3135, 540, 7557, 340, 20266, 32627, 269, 4014, 1447, 22125, 267, 922, 21219, 30832, 331, 2066, 513, 3677, 1858, 4988, 538, 31619, 806, 267, 17633, 267, 543, 726, 1794, 553, 269, 1677, 3643, 891, 11141, 3788, 267, 1544, 585, 2185, 4101, 2943, 17598, 2395, 15385, 8933, 267, 16246, 15113, 1938, 267, 543, 31986, 7873, 832, 10760, 16841, 269, 5457, 267, 9639, 17188, 1055, 2094, 3478, 972, 3322, 513, 588, 1066, 6681, 30382, 267, 1818, 519, 12625, 782, 519, 811, 16180, 563, 275, 269, 654, 18065, 267, 8776, 637, 1642, 10266, 324, 2817, 5244, 267, 16266, 454, 8867, 3058, 3297, 18475, 267, 2212, 5045, 547, 4793, 6782, 807, 267, 3838, 1063, 18335, 543, 16266, 269, 13018, 267, 1445, 593, 16266, 781, 6712, 10023, 8776, 637, 1642, 10266, 324, 2817, 5244, 267, 12021, 585, 922, 795, 698, 3022, 25342, 838, 2231, 267, 20842, 675, 12647, 267, 11344, 533, 2086, 553, 267, 543, 10731, 21426, 971, 607, 1368, 534, 659, 657, 267, 29372, 267, 543, 4686, 533, 30864, 269, 1635, 21365, 519, 654, 18065, 267, 29906, 3309, 18162, 3056, 2250, 11599, 21056, 899, 11968, 19923, 1716, 657, 267, 3943, 9503, 267, 27578, 3794, 659, 1512, 267, 543, 1765, 1993, 1576, 9789, 570, 10183, 2933, 269, 2142, 5423, 585, 2842, 344, 2175, 543, 11385, 908, 5210, 2429, 707, 3818, 6377, 16939, 563, 276, 269, 13535, 599, 16852, 1662, 18065, 267, 18475, 454, 7661, 267, 1394, 10177, 1188, 5087, 547, 13535, 541, 1794, 267, 31314, 9624, 519, 24778, 650, 5028, 2349, 4545, 320, 2039, 269, 853, 1905, 593, 707, 25192, 2899, 1586, 585, 519, 17938, 1791, 908, 476, 279, 268, 1321, 1554, 5547, 4478, 519, 546, 9579, 1782, 3043, 19589, 540, 19607, 5964, 962, 518, 1575, 24652, 267, 13961, 3121, 9835, 324, 267, 681, 1180, 1195, 267, 543, 808, 597, 880, 4545, 320, 269, 13966, 519, 1259, 267, 7237, 26543, 13545, 985, 10452, 524, 518, 2544, 534, 22839, 267, 2357, 323, 656, 23898, 524, 2784, 1782, 31459, 540, 13265, 543, 16933, 267, 543, 9678, 2950, 8497, 2085, 6040, 5389, 269, 6736, 14053, 2168, 11851, 542, 267, 829, 572, 3164, 6616, 602, 1169, 9688, 532, 1900, 13344, 26080, 5898, 15180, 532, 1022, 2022, 15258, 3239, 780, 1103, 3932, 267, 4352, 519, 5549, 320, 20417, 6585, 3140, 4644, 543, 3308, 9029, 267, 1810, 1405, 3970, 3054, 9003, 547, 713, 4781, 269, 20764, 1005, 3564, 2442, 11507, 12857, 2189, 13341, 15386, 3162, 3013, 781, 5854, 3599, 543, 26672, 528, 269, 8414, 12599, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 20442, 6410, 713, 2985, 1934, 910, 952, 596, 941, 711, 8850, 2699, 20526, 267, 5225, 979, 547, 519, 18960, 4528, 563, 2005, 4667, 3025, 814, 513, 1650, 547, 2995, 610, 5796, 547, 2285, 827, 513, 3659, 945, 24964, 610, 1945, 789, 1705, 630, 21865, 1279, 268, 6210, 950, 519, 1158, 729, 1360, 1114, 1747, 1040, 634, 2984, 616, 3335, 30996, 1639, 610, 10565, 1107, 6382, 789, 9327, 1405, 581, 4502, 10213, 269, 634, 1158, 4991, 11821, 883, 835, 269, 570, 5661, 540, 1898, 7543, 1471, 553, 267, 15483, 30294, 267, 21380, 2068, 610, 3668, 540, 2533, 538, 835, 851, 540, 519, 1158, 4991, 3262, 547, 1776, 269, 1717, 267, 519, 5168, 568, 602, 2221, 1282, 513, 7552, 1472, 519, 30618, 532, 2295, 3338, 540, 14913, 5607, 267, 5824, 3013, 267, 5245, 610, 2342, 596, 616, 711, 2469, 547, 581, 538, 1454, 8594, 540, 24954, 267, 3668, 540, 8492, 267, 2182, 2989, 31111, 2516, 267, 2695, 19981, 22098, 267, 7543, 1471, 553, 610, 630, 5976, 513, 10853, 6578, 264, 2731, 1454, 3544, 707, 4313, 22271, 821, 269, 1280, 519, 1034, 2951, 814, 3893, 4443, 543, 4443, 936, 519, 2063, 8717, 609, 5458, 2242, 538, 519, 2063, 2947, 1296, 9141, 676, 519, 5769, 563, 3383, 812, 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, 5549, 320, 20417, 10201, 2510, 257, 607, 851, 540, 834, 307, 30728, 1315, 3162, 3013, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 22014, 1877, 538, 18289, 910, 4197, 16661, 18963, 998, 5794, 19449, 27218, 692, 15916, 972, 256, 5620, 596, 2479, 9289, 1946, 930, 2395 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5827, 540, 4929, 2860, 269, 4475, 267, 3665, 4616, 540, 29092, 1223, 16616, 606, 1367, 547, 519, 1981, 540, 2860, 676, 513, 3677, 14345, 269, 634, 2034, 3114, 2404, 609, 519, 2030, 568, 1609, 4048, 1961, 602, 568, 5827, 540, 4929, 12970, 538, 519, 8983, 6797, 269, 4475, 267, 952, 8983, 7985, 689, 519, 12970, 267, 1480, 7919, 616, 1100, 9868, 269, 10960, 10307, 568, 519, 1482, 543, 5103, 13581, 13261, 7648, 267, 1034, 6211, 6547, 616, 3808, 547, 6556, 519, 1482, 2164, 2390, 1373, 6534, 547, 513, 1978, 15128, 610, 3114, 3693, 269, 6736, 519, 12006, 6937, 267, 519, 15111, 607, 1134, 607, 824, 3621, 3919, 1362, 5809, 29092, 607, 513, 7790, 306, 12522, 5253, 27085, 1717, 267, 519, 4436, 1072, 22124, 2760, 15763, 519, 15910, 8328, 1198, 3976, 7106, 17311, 922, 6165, 538, 16392, 9830, 630, 8002, 517, 267, 476, 1001, 272, 1040, 634, 1482, 8128, 24633, 543, 6615, 6165, 540, 20854, 267, 9176, 267, 20854, 543, 8808, 2021, 269, 18766, 689, 5125, 267, 1082, 4529, 2066, 519, 1158, 3494, 29092, 8992, 28689, 543, 28901, 4074, 538, 9176, 2021, 563, 15368, 559, 899, 782, 2067, 2371, 1058, 581, 2808, 2922, 585, 4616, 269, 634, 2860, 1198, 949, 711, 6556, 2047, 689, 519, 2030, 855, 689, 519, 5567, 6537, 689, 519, 3037, 607, 519, 2030, 9428, 269, 4475, 267, 952, 29092, 286, 338, 5140, 2564, 543, 14312, 7207, 616, 15763, 1287, 513, 2603, 811, 2371, 1058, 581, 15653, 543, 10294, 4652, 527, 585, 4616, 269, 634, 5413, 540, 29092, 568, 519, 5934, 610, 1875, 7721, 11962, 3114, 1689, 538, 922, 3334, 607, 7550, 585, 2564, 946, 269, 1703, 568, 1100, 3332, 602, 6920, 2009, 2427, 2360, 540, 519, 3075, 3976, 1217, 958, 27216, 519, 3075, 538, 4616, 3106, 269, 634, 2241, 7503, 3157, 543, 1875, 7721, 11962, 2665, 540, 30072, 1759, 593, 29092, 286, 338, 2067, 21274, 568, 513, 24072, 2509, 2104, 2564, 3255, 269, 1703, 1522, 581, 3606, 2418, 540, 519, 2030, 2943, 547, 581, 6444, 269, 4438, 519, 6268, 540, 29092, 267, 5934, 6165, 729, 7923, 547, 519, 5072, 267, 11710, 543, 5810, 269, 1703, 568, 606, 4316, 547, 2263, 2009, 8925, 602, 1131, 10018, 476, 1911, 260, 4616, 540, 519, 2030, 269, 1703, 616, 811, 982, 476, 2568, 8390, 540, 519, 2030, 3976, 621, 568, 1271, 547, 2263, 519, 5383, 540, 782, 519, 1114, 8747, 547, 3313, 3606, 5383, 269, 29092, 2488, 513, 3280, 2666, 547, 6218, 267, 1020, 543, 3356, 519, 946, 540, 16909, 4915, 269, 2368, 4529, 971, 607, 519, 4457, 723, 4359, 3498, 540, 2371, 538, 741, 2067, 1106, 6580, 1394, 883, 5553, 269, 901, 1058, 1683, 7123, 10850, 547, 3986, 16909, 1382, 543, 3498, 563, 8002, 517, 267, 1627, 269, 630, 1001, 272, 1040, 1772, 17057, 807, 281, 1715, 29362, 585, 519, 16195, 12333, 269, 1715, 14948, 281, 7647, 8765, 292, 1885, 563, 295, 1263, 601, 267, 918, 269, 630, 1001, 273, 1040, 15346, 29092, 689, 4677, 547, 3349, 281, 875, 547, 2030, 267, 1332, 267, 543, 5965, 24958, 269, 3687, 928, 24550, 267, 3687, 333, 12727, 9474, 23077, 563, 295, 2830, 684, 523, 267, 681, 1421, 1299, 4591, 332, 267, 962, 269, 630, 1220, 274, 1040, 29092, 281, 634, 2637, 639, 744, 322, 3065, 282, 5709, 1400, 543, 589, 668, 1738, 12518, 1107, 11633, 4515, 3796, 269, 12924, 281, 10911, 290, 4964, 563, 300, 754, 14162, 13305, 559, 553, 267, 589, 269, 630, 1001, 274, 1040, 2622, 4204, 1382, 3646, 538, 519, 8165, 1996, 15451, 13596, 2433, 689, 2596, 1382, 547, 6639, 7835, 269, 4813, 622, 343, 282, 645, 10087, 13158, 517, 281, 9466, 310, 1779, 518, 4964, 267, 2941, 563, 12195, 19781, 24199, 10758, 29308, 10758, 589, 590, 8379, 6579, 2752, 10758, 29308, 23166, 8808, 12143, 570, 12460, 9215, 31165, 6730, 717, 4953, 4888, 589, 7246, 313, 5058, 20591, 4596, 7419, 307, 454, 763, 2022, 2328, 513, 2110, 29275, 585, 707, 10786, 1210, 693, 2547, 1079, 25768, 7440, 269, 22443, 873, 538, 24324, 538, 2699, 1257, 269, 7902, 1101, 593, 8808, 12143, 570, 12460, 269, 0, 11749, 550, 1149, 4303, 568, 513, 1434, 28195, 547, 1205, 13167, 267, 865, 649, 4126, 602, 891, 13241, 1148, 3785, 8300, 596, 547, 946, 2257, 543, 2029, 609, 707, 20854, 543, 3214, 269, 1452, 2560, 15566, 7335, 4406, 550, 1149, 13241, 3203, 18768, 585, 25595, 6840, 543, 8866, 454, 14399, 2648, 1818, 6846, 1519, 536, 4474, 593, 17428, 543, 31781, 256, 10435, 513, 3280, 3774, 3544, 568, 513, 1390, 1259, 547, 2285, 1453, 606, 17752, 547, 2263, 1818, 4992, 676, 18644, 513, 2039, 540, 1114, 3615, 563, 22025, 543, 3443, 1404, 568, 513, 1390, 2534, 585, 9002, 543, 20854, 547, 798, 593, 741, 1378, 585, 2110, 5712, 540, 942, 547, 948, 1628, 741, 4830, 1404, 855, 621, 779, 849, 513, 8799, 3364, 547, 798, 1927, 269, 14171, 7140, 18644, 519, 17428, 543, 25718, 1018, 789, 798, 568, 513, 1390, 1259, 547, 6125, 609, 707, 1126, 543, 3136, 547, 1628, 27589, 269, 0, 5978, 15769, 786, 2689, 1018, 596, 4076, 11643, 543, 3313, 2436, 547, 23590, 519, 2376, 12282, 7765, 27429, 781, 14539, 31313, 5358, 543, 938, 2146, 540, 4966, 547, 2744, 513, 2518, 5304, 585, 707, 960, 2336, 298, 574, 590, 836, 5336, 534, 267, 11114, 17404, 630, 9799, 3967, 269, 476, 866, 267, 476, 4489, 271, 267, 623, 10224, 267, 3345, 932, 3326, 320, 11662, 267, 9705, 1765, 323, 1221, 3967, 269, 476, 2918, 267, 476, 1960, 275, 267, 1530, 9567, 267, 3162, 9705, 1070, 607, 519, 17404, 540, 667, 784, 5025, 19129, 2692, 267, 519, 2197, 779, 1034, 9565, 11356, 267, 729, 606, 703, 516, 3671, 1219, 2658, 540, 519, 5191, 540, 519, 2046, 269, 2755, 598, 14127, 547, 519, 2046, 24890, 13684, 676, 519, 9598, 31247, 20816, 540, 3465, 6342, 5244, 932, 2426, 1261, 324, 543, 932, 684, 1684, 334, 670, 9774, 267, 13690, 23900, 543, 695, 4319, 323, 569, 6591, 3486, 1489, 585, 5706, 532, 519, 2268, 269, 4438, 513, 476, 3192, 275, 1397, 6658, 1063, 519, 5244, 2229, 543, 11495, 667, 784, 5025, 19129, 2692, 20859, 267, 945, 1843, 539, 547, 24890, 543, 519, 4527, 540, 11114, 6239, 11106, 10837, 630, 298, 5746, 288, 264, 8069, 538, 11356, 13646, 267, 13690, 1031, 1010, 3486, 17066, 547, 3142, 2604, 593, 519, 2229, 267, 799, 1185, 12219, 547, 7080, 754, 519, 1957, 269, 9282, 5244, 24013, 4319, 519, 918, 5746, 288, 8069, 267, 646, 10288, 513, 2347, 5010, 10229, 7911, 22574, 269, 13690, 779, 588, 1155, 729, 971, 602, 8723, 4544, 2275, 20683, 4600, 8678, 30921, 538, 9140, 11356, 10229, 2230, 547, 1397, 741, 1489, 585, 2046, 5191, 269, 634, 1957, 729, 4547, 547, 519, 1490, 1074, 540, 28153, 267, 543, 13690, 729, 7142, 547, 1577, 930, 1065, 13024, 979, 543, 15260, 793, 1866, 269, 4438, 932, 684, 779, 1514, 22729, 5859, 267, 513, 1297, 540, 1065, 13024, 941, 17991, 267, 855, 13690, 1336, 6009, 585, 1082, 540, 873, 538, 2027, 1382, 13623, 269, 13690, 267, 945, 8678, 667, 784, 5025, 19129, 2692, 538, 476, 3707, 280, 267, 6039, 607, 10324, 8689, 267, 7022, 267, 17404, 267, 28579, 267, 543, 267, 689, 476, 2735, 272, 267, 28579, 900, 518, 7978, 269, 1261, 729, 513, 10927, 540, 519, 5507, 3427, 540, 13188, 269, 1261, 729, 3957, 513, 2155, 6387, 540, 519, 3703, 7276, 538, 476, 3192, 275, 543, 513, 22632, 776, 26427, 540, 519, 3703, 7276, 538, 476, 2735, 272, 563, 9596, 2859, 538, 891, 1644, 27429, 4930, 912, 28846, 11977, 21651, 332, 3089, 571, 12027, 281, 8176, 11977, 21651, 3366, 519, 6963, 5830, 609, 1163, 657, 15530, 8151, 689, 634, 4279, 652, 11565, 538, 519, 2622, 630, 5002, 276, 264, 547, 634, 772, 19828, 540, 519, 3509, 630, 5002, 278, 1070, 519, 8545, 540, 799, 4080, 593, 2409, 1373, 6836, 547, 8831, 9111, 538, 824, 2477, 269, 12493, 6008, 742, 839, 5206, 827, 18348, 7498, 21579, 3241, 7054, 1324, 1715, 5264, 6124, 5264, 1920, 281, 634, 1920, 779, 6830, 17480, 3459, 609, 15656, 7054, 1324, 1715, 5264, 630, 321, 269, 2904, 476, 2190, 267, 476, 6245, 276, 267, 1715, 3840, 267, 715, 28629, 1421, 772, 2529, 23102, 323, 269, 4119, 269, 476, 3066, 267, 476, 3192, 280, 267, 1715, 3840, 4975, 1070, 945, 729, 4535, 21125, 3026, 340, 27346, 543, 729, 2663, 1634, 607, 590, 15660, 269, 1715, 5264, 269, 1261, 729, 2324, 607, 513, 804, 17064, 585, 25960, 670, 9007, 32303, 22654, 538, 7345, 517, 928, 267, 715, 12282, 1421, 950, 32303, 22654, 3576, 7498, 297, 24944, 2405, 650, 15966, 768, 1157, 305, 3578, 670, 13860, 15966, 768, 1157, 3244, 916, 281, 769, 476, 5002, 274, 1352, 9310, 9478, 2405, 650, 15966, 768, 1157, 540, 519, 9628, 11356, 1920, 269, 2701, 543, 1200, 9393, 3838, 606, 1719, 538, 11636, 1514, 2093, 267, 543, 1352, 729, 3742, 538, 1896, 3084, 10304, 543, 6963, 3906, 269, 769, 476, 4489, 274, 1352, 10981, 321, 1221, 519, 13325, 23328, 547, 1390, 1198, 593, 15773, 540, 519, 3915, 2507, 0, 288, 5934, 13230, 568, 519, 9803, 5662, 569, 267, 3232, 267, 610, 10865, 13180, 602, 12820, 949, 16155, 2628, 547, 4600, 269, 634, 5313, 2229, 543, 1082, 2829, 723, 3964, 5934, 13230, 4031, 269, 7316, 5313, 543, 1533, 1876, 723, 1114, 3928, 267, 519, 2362, 5934, 13230, 3044, 10039, 269, 2368, 2199, 6608, 3112, 15357, 971, 3800, 1813, 547, 1533, 840, 18277, 9086, 630, 7968, 296, 476, 1001, 279, 1916, 2750, 4624, 5484, 1030, 2772, 27159, 630, 305, 730, 994, 8448, 15783, 5484, 1030, 2772, 27159, 454, 18719, 1386, 4332, 4093, 454, 18128, 2064, 540, 6356, 4369, 454, 2467, 568, 6404, 2963, 827, 519, 2360, 540, 2810, 519, 5934, 13230, 593, 4747, 267, 7694, 267, 543, 6710, 563, 288, 1297, 540, 2090, 1265, 602, 2810, 519, 5934, 13230, 4679, 4600, 685, 26038, 609, 2370, 610, 1100, 2963, 540, 2816, 2530, 2949, 630, 18661, 1195, 476, 1001, 280, 267, 1325, 5586, 4958, 1729, 476, 1001, 272, 24682, 667, 4209, 476, 1001, 271, 24682, 5410, 2581, 476, 1220, 280, 24682, 16423, 5459, 476, 1220, 274, 320, 267, 9315, 476, 1960, 275, 265, 1040, 589, 2487, 2689, 540, 2475, 2090, 9060, 5934, 13230, 4679, 798, 711, 2569, 7694, 2949, 543, 5267, 1507, 2942, 2360, 616, 5097, 1851, 14038, 630, 310, 6504, 5459, 476, 1001, 280, 265, 1040, 4033, 2090, 5815, 602, 5934, 13230, 4679, 666, 1267, 538, 4389, 7694, 267, 2523, 1851, 7820, 267, 1447, 13473, 267, 610, 5667, 330, 2683, 4600, 630, 11754, 2581, 476, 1001, 274, 24682, 17939, 807, 476, 1001, 273, 24682, 3026, 636, 1046, 476, 1220, 279, 265, 1070, 4389, 7694, 949, 581, 538, 9922, 971, 607, 5663, 2864, 982, 14060, 610, 10685, 267, 799, 2308, 519, 5354, 540, 5934, 13230, 4600, 630, 301, 21612, 4211, 1263, 714, 476, 1001, 280, 265, 1040, 10765, 1382, 849, 5267, 602, 4679, 547, 519, 5934, 13230, 949, 1291, 12322, 547, 2333, 741, 1445, 593, 2069, 282, 12322, 945, 616, 711, 6964, 616, 811, 2693, 547, 581, 538, 1153, 267, 2864, 982, 711, 538, 1153, 543, 711, 6964, 630, 10468, 636, 1046, 476, 1001, 280, 265, 1916, 21953, 824, 2090, 1265, 602, 5934, 13230, 4679, 5097, 4324, 1875, 1790, 3233, 10820, 630, 306, 629, 807, 476, 1001, 271, 24682, 8738, 330, 3873, 12528, 476, 1220, 278, 264, 543, 723, 1100, 1764, 593, 6710, 3928, 2949, 630, 306, 629, 807, 476, 1001, 271, 24682, 8738, 330, 3873, 12528, 476, 1220, 278, 267, 3026, 636, 1046, 476, 1220, 279, 265, 1040, 12846, 1866, 1265, 811, 1950, 2360, 267, 971, 607, 513, 22208, 2861, 1353, 602, 5267, 4679, 538, 519, 5934, 13230, 949, 3565, 547, 4389, 13366, 883, 519, 13781, 267, 543, 4389, 9441, 3108, 267, 1498, 13848, 949, 2333, 2949, 585, 4600, 609, 811, 1995, 543, 9441, 24826, 568, 4389, 630, 301, 21612, 11219, 731, 574, 476, 1001, 279, 265, 1916, 295, 27941, 5934, 13848, 949, 2569, 9000, 1813, 547, 4576, 1851, 4988, 4600, 630, 291, 340, 476, 1001, 279, 265, 1070, 543, 949, 267, 538, 930, 2665, 267, 2087, 1582, 3146, 19959, 1569, 547, 1416, 543, 2732, 2298, 267, 1498, 2360, 4268, 630, 301, 541, 664, 476, 1001, 280, 1040, 2368, 2090, 2303, 2242, 538, 519, 5934, 13230, 949, 849, 18549, 1860, 8377, 3928, 630, 301, 21612, 5336, 3881, 10045, 476, 1001, 272, 264, 1247, 1866, 798, 711, 630, 290, 2714, 328, 476, 1001, 274, 265, 1040, 23207, 519, 5934, 13230, 949, 6175, 3928, 540, 11980, 1851, 4079, 609, 513, 1164, 1153, 2069, 610, 1447, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1038, 6726, 919, 519, 1985, 942, 547, 2196, 267, 1759, 593, 519, 2063, 942, 519, 454, 1038, 2680, 729, 2196, 780, 1038, 2433, 12407, 2063, 318, 14725, 281, 634, 2063, 942, 519, 2680, 5949, 692, 1038, 2433, 4958, 5281, 281, 589, 2433, 28128, 281, 319, 323, 520, 8135, 319, 540, 950, 519, 2680, 1058, 1985, 4755, 454, 1038, 8173, 1038, 952, 1582, 11519, 520, 912, 2018, 1985, 318, 14725, 815, 2063, 318, 14725, 18622, 2897, 18692, 3546, 5662, 284, 1345, 11519, 520, 19544, 712, 2676, 3546, 8792, 284, 1345, 11519, 520, 269, 2381, 1393, 2676, 3546, 2034, 284, 1345, 11519, 520, 269, 16149, 2676, 3546, 2890, 16149, 284, 271, 2676, 2018, 12467, 2018, 952, 1985, 318, 14725, 10922, 30220, 269, 852, 10031, 3546, 1985, 318, 14725, 6834, 31764, 12265, 5560, 904, 284, 1345, 11519, 17058, 994, 2018, 2132, 1985, 318, 14725, 692, 1038, 2132, 2063, 318, 14725, 1341, 31764, 12265, 18692, 2018, 2395, 284, 1345, 11519, 17058, 2676, 2018, 3108, 284, 1345, 11519, 327, 2293, 2676, 2018, 3764, 284, 1345, 11519, 2381, 2373, 2676, 2018, 7643, 284, 1345, 11519, 572, 6948, 2676, 1038, 476, 9239, 5035, 2480, 1117, 27968, 297, 984, 912, 825, 5727, 288, 1599, 609, 513, 8430, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 8430, 281, 21480, 267, 30775, 281, 11910, 762, 264, 9847, 7183, 912, 1038, 1582, 8807, 15635, 815, 30775, 454, 1038, 1582, 31892, 7359, 815, 8430, 454, 1038, 1582, 8807, 15635, 815, 30775, 454, 1038, 1582, 12785, 318, 14725, 815, 1582, 31892, 7359, 10947, 318, 10113, 318, 14725, 22710, 5560, 520, 8135, 269, 852, 31156, 825, 1219, 1058, 318, 14725, 4311, 264, 9847, 536, 944, 912, 1038, 8173, 1038, 4258, 4242, 2436, 519, 1599, 2115, 547, 581, 2196, 1759, 593, 519, 8430, 780, 1038, 2433, 4958, 5281, 281, 589, 2433, 28128, 281, 319, 321, 944, 319, 540, 2436, 610, 711, 547, 2196, 454, 1038, 8173, 1038, 2132, 1582, 12785, 318, 14725, 10922, 30220, 269, 852, 10797, 825, 1219, 2196, 4311, 264, 9847, 7183, 912, 1038, 5727, 305, 12584, 519, 1599, 543, 21410, 1341, 8637, 519, 1985, 2196, 942, 27969, 454, 1038, 2119, 912, 2018, 1582, 8807, 15635, 4590, 1038, 4849, 1401, 4003, 607, 552, 912, 2018, 700, 8104, 294, 2207, 269, 19587, 16216, 994, 1038, 1582, 12785, 318, 14725, 815, 1582, 31892, 7359, 10947, 318, 10113, 318, 14725, 22710, 5560, 520, 8135, 269, 852, 3890, 9239, 5035, 2480, 1117, 17526, 912, 825, 5727, 288, 4558, 585, 2480, 1117, 27968, 22868, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 264, 9847, 7183, 912, 1038, 1582, 12459, 10849, 281, 5903, 314, 306, 3481, 27968, 297, 984, 316, 815, 29129, 825, 1219, 1039, 19553, 984, 4311, 267, 2816, 281, 2480, 1117, 27968, 297, 984, 264, 9847, 7183, 912, 1038, 8173, 1038, 1520, 1091, 513, 1085, 515, 27968, 2816, 547, 519, 11674, 518, 780, 1038, 2433, 12407, 2816, 281, 634, 2816, 547, 581, 3773, 547, 519, 11674, 518, 454, 1038, 8173, 1038, 1582, 12459, 10849, 6910, 27203, 984, 2020, 825, 1219, 2196, 7272, 2056, 4311, 264, 9847, 7183, 912, 1038, 8173, 1038, 681, 12584, 1022, 533, 2056, 16516, 6009, 780, 1038, 681, 12584, 1022, 2480, 1117, 27968, 297, 10849, 538, 519, 4558, 267, 1141, 2433, 13892, 281, 319, 329, 984, 11075, 746, 318, 14725, 13237, 454, 1038, 7024, 3020, 454, 1038, 8173, 1038, 6009, 15461, 318, 14725, 281, 5903, 314, 306, 3481, 27968, 297, 984, 316, 815, 1496, 329, 984, 585, 2816, 538, 1582, 12459, 10849, 952, 2816, 11075, 746, 318, 14725, 3890, 2639, 1038, 585, 2816, 538, 6009, 15461, 318, 14725, 912, 2018, 2816, 269, 14725, 4590, 0, 5228, 4351, 1104, 3903, 692, 258, 290, 13072, 547, 2820, 13433, 327, 5881, 273, 25171, 585, 713, 3009, 454, 3698, 568, 300, 7174, 29381, 29033, 264, 10778, 3097, 825, 585, 1775, 538, 2039, 263, 274, 264, 10778, 1038, 585, 795, 538, 2039, 263, 274, 264, 10778, 2018, 952, 630, 2254, 4604, 5157, 6012, 329, 8079, 10778, 3546, 2132, 6936, 454, 825, 2132, 8771, 454, 3097, 3698, 6218, 6357, 267, 7762, 267, 18545, 264, 10778, 825, 454, 825, 1948, 6744, 532, 585, 681, 3298, 585, 2473, 610, 744, 11802, 563, 825, 585, 4737, 538, 2039, 263, 274, 264, 2433, 8931, 1038, 952, 630, 321, 314, 992, 6012, 271, 316, 2652, 536, 314, 992, 6012, 272, 316, 543, 536, 314, 992, 6012, 272, 316, 2652, 536, 314, 992, 6012, 273, 8079, 2433, 1038, 454, 2018, 952, 630, 321, 314, 992, 6012, 271, 316, 2652, 7762, 264, 10778, 3546, 2132, 476, 1015, 454, 2018, 8640, 630, 321, 314, 992, 6012, 271, 316, 2652, 18545, 264, 10778, 3546, 2132, 910, 1015, 454, 3097, 825, 1948, 6744, 532, 585, 2051, 8435, 585, 2473, 610, 744, 11802, 563, 825, 585, 897, 538, 2039, 263, 274, 264, 10778, 11434, 454, 1038, 952, 630, 321, 314, 271, 6012, 3712, 316, 2652, 536, 314, 272, 6012, 3712, 316, 543, 536, 314, 272, 6012, 3712, 316, 2652, 536, 314, 273, 6012, 3712, 8079, 10778, 1363, 3097, 2018, 952, 630, 321, 314, 271, 6012, 3712, 316, 2652, 7762, 264, 10778, 3546, 2132, 476, 1015, 454, 2018, 8640, 630, 321, 314, 271, 6012, 3712, 316, 2652, 18545, 264, 10778, 3546, 2132, 910, 1015, 454, 3097, 825, 1948, 6744, 532, 585, 4144, 6782, 1023, 585, 2473, 610, 744, 11802, 563, 825, 952, 630, 321, 314, 271, 6012, 271, 316, 2652, 536, 314, 272, 6012, 272, 316, 543, 536, 314, 272, 6012, 272, 316, 2652, 536, 314, 273, 6012, 273, 8079, 10778, 672, 3097, 1038, 952, 630, 321, 314, 271, 6012, 271, 316, 2652, 7762, 264, 10778, 2018, 2132, 476, 1015, 454, 1038, 8640, 630, 321, 314, 271, 6012, 271, 316, 2652, 18545, 264, 10778, 2018, 2132, 910, 1015, 454, 3097, 825, 952, 630, 321, 314, 271, 6012, 273, 316, 2652, 536, 314, 272, 6012, 272, 316, 543, 536, 314, 272, 6012, 272, 316, 2652, 536, 314, 273, 6012, 271, 8079, 10778, 672, 3097, 1038, 952, 630, 321, 314, 271, 6012, 273, 316, 2652, 7762, 264, 10778, 2018, 2132, 476, 1015, 454, 1038, 8640, 630, 321, 314, 271, 6012, 273, 316, 2652, 18545, 264, 10778, 2018, 2132, 910, 1015, 454, 3097, 825, 1948, 22527, 952, 9039, 540, 873, 723, 4465, 1287, 2132, 476, 271, 454, 825, 2132, 476, 271, 454, 8528, 3698, 6922, 1314, 29033, 267, 3178, 267, 568, 26174, 267, 7762, 267, 18545, 264, 10778, 825, 6060, 815, 6218, 29033, 267, 7762, 267, 18545, 994, 3097, 825, 1948, 1403, 7665, 574, 6500, 814, 4465, 519, 3014, 2132, 1010, 17017, 454, 825, 1948, 11117, 6060, 454, 825, 952, 630, 16557, 2652, 476, 1015, 264, 10778, 1038, 2132, 6060, 454, 3097, 825, 1948, 1403, 3687, 574, 6500, 814, 4465, 519, 3014, 2132, 1010, 17017, 454, 825, 1948, 11117, 6060, 454, 825, 952, 630, 16557, 2652, 910, 1015, 264, 10778, 1038, 2132, 6060, 454, 3097, 825, 1948, 1403, 972, 616, 1100, 811, 7575, 543, 1100, 16771, 1287, 454, 825, 1948, 621, 568, 513, 17063, 454, 825, 952, 630, 529, 300, 7174, 29381, 29033, 264, 2652, 8771, 264, 10778, 1038, 2132, 476, 271, 454, 3097, 825, 1948, 1403, 713, 12366, 6500, 781, 1847, 454, 825, 952, 630, 529, 26174, 264, 2433, 8931, 1038, 1655, 815, 910, 1911, 271, 454, 3097, 1038, 1948, 3004, 2091, 782, 2281, 454, 1038, 585, 1775, 538, 2039, 263, 274, 264, 2433, 13872, 2018, 585, 795, 538, 2039, 263, 274, 264, 10778, 25639, 454, 3546, 1948, 6744, 952, 1591, 568, 8900, 454, 3546, 952, 630, 2254, 4604, 5157, 6012, 329, 8079, 10778, 4449, 3097, 7386, 1948, 5269, 519, 1847, 454, 7386, 4604, 5157, 6012, 329, 316, 815, 7762, 454, 3097, 7386, 1948, 11910, 6922, 1314, 16571, 1947, 543, 3442, 454, 7386, 1948, 519, 5021, 1871, 454, 7386, 1655, 815, 3193, 263, 1655, 267, 6922, 1314, 29033, 2676, 14030, 23526, 3178, 1341, 476, 272, 2676, 14030, 23526, 711, 568, 26174, 267, 7762, 267, 18545, 264, 12467, 3097, 7386, 1948, 25613, 334, 519, 1847, 454, 7386, 4604, 5157, 6012, 329, 316, 815, 834, 4840, 1038, 2132, 1655, 454, 3097, 825, 1948, 1403, 713, 6922, 6500, 781, 1847, 454, 825, 3116, 10778, 1038, 1655, 815, 476, 1911, 271, 454, 3097, 1038, 1948, 3004, 2091, 782, 2281, 454, 1038, 585, 1775, 538, 2039, 263, 274, 264, 2433, 13872, 2018, 585, 795, 538, 2039, 263, 274, 264, 10778, 25639, 454, 3546, 1948, 6744, 952, 1591, 568, 8900, 454, 3546, 952, 630, 2254, 4604, 5157, 6012, 329, 8079, 10778, 4449, 3097, 7386, 1948, 5269, 519, 1847, 454, 7386, 4604, 5157, 6012, 329, 316, 815, 18545, 454, 3097, 7386, 1948, 11910, 6922, 1314, 16571, 1947, 543, 3442, 454, 7386, 1948, 519, 5934, 1871, 454, 7386, 1655, 815, 1295, 6357, 652, 267, 6922, 1314, 29033, 267, 3178, 1341, 476, 272, 267, 711, 568, 26174, 267, 7762, 267, 18545, 4917, 3097, 7386, 1948, 25613, 334, 519, 1847, 454, 7386, 4604, 5157, 6012, 329, 316, 815, 834, 4840, 1038, 2132, 1655, 454, 3097, 258, 901, 786, 2132, 519, 1655, 2009, 1847, 585, 519, 6345, 454, 3698, 1265, 10734, 652, 8548, 913, 29033, 267, 7762, 267, 18545, 267, 1665, 18045, 264, 10778, 825, 1655, 26371, 815, 910, 1911, 271, 454, 825, 1655, 8548, 913, 815, 11196, 272, 267, 910, 272, 994, 825, 4604, 815, 20886, 7901, 269, 3667, 3890, 585, 4216, 538, 4737, 316, 585, 4737, 538, 4604, 269, 11161, 3890, 6540, 825, 952, 1665, 18045, 2999, 476, 280, 912, 1038, 952, 1665, 18045, 2652, 476, 271, 912, 2018, 1775, 815, 3903, 8443, 271, 267, 476, 273, 7481, 2018, 952, 1775, 2652, 476, 272, 912, 3546, 795, 815, 3903, 8443, 271, 267, 476, 272, 267, 476, 273, 7481, 2018, 3116, 912, 3546, 795, 815, 3903, 8443, 271, 267, 476, 273, 7481, 2018, 2132, 630, 328, 267, 795, 994, 1038, 3116, 912, 2018, 585, 1775, 538, 2039, 263, 274, 264, 2433, 8931, 3546, 585, 795, 538, 2039, 263, 274, 2187, 4449, 3097, 7386, 1948, 6744, 952, 1591, 568, 8900, 454, 7386, 952, 711, 4604, 5157, 6012, 329, 14158, 4449, 672, 3097, 13376, 1948, 5269, 519, 1847, 454, 13376, 4604, 5157, 6012, 329, 316, 815, 7762, 454, 3097, 13376, 1948, 12337, 6268, 1599, 585, 713, 454, 13376, 1948, 1847, 563, 13376, 1847, 26371, 815, 6922, 1314, 29033, 267, 476, 271, 267, 8771, 267, 7762, 267, 18545, 994, 3097, 13376, 1948, 25613, 334, 519, 1847, 454, 13376, 4604, 5157, 6012, 329, 316, 815, 834, 4840, 3097, 13376, 1948, 1403, 519, 1871, 540, 519, 1699, 1847, 568, 454, 13376, 1948, 811, 982, 519, 1655, 1871, 267, 1287, 9337, 454, 13376, 1948, 1655, 13045, 13376, 952, 1847, 26371, 3436, 1655, 26371, 281, 3546, 454, 23351, 1655, 8548, 913, 815, 630, 328, 267, 795, 994, 23351, 1655, 26371, 815, 1847, 26371, 454, 3097, 825, 2132, 1655, 8548, 913, 454, 0, 258, 12041, 281, 631, 4669, 18054, 910, 30464, 14255, 600, 28624, 737, 2378, 328, 688, 328, 454, 258, 25074, 9226, 1711, 18316, 18258, 454, 258, 18141, 1711, 18316, 18258, 543, 544, 336, 1188, 18258, 538, 1482, 17835, 454, 5814, 15259, 454, 5814, 4351, 454, 5814, 19523, 454, 4067, 815, 6151, 17750, 2891, 11767, 519, 2012, 540, 3758, 281, 834, 11924, 2668, 343, 6447, 4840, 12803, 815, 1930, 28442, 10086, 342, 5073, 12803, 22182, 2891, 283, 301, 13246, 285, 315, 333, 5602, 1721, 1775, 538, 2039, 263, 1015, 2187, 453, 12803, 22182, 19629, 339, 283, 15759, 518, 1003, 815, 1422, 3269, 266, 1598, 263, 12690, 27110, 263, 271, 267, 8517, 4297, 266, 257, 315, 257, 3436, 9572, 15759, 518, 285, 315, 333, 5602, 12803, 22182, 2891, 9572, 301, 13246, 285, 315, 333, 5602, 12803, 25379, 4590, 31184, 815, 6358, 28442, 266, 257, 3758, 568, 2854, 1299, 2046, 476, 272, 547, 1294, 922, 9115, 281, 5602, 604, 6025, 11391, 2525, 272, 2187, 453, 657, 269, 17882, 2891, 13906, 834, 266, 4067, 994, 453, 339, 5404, 284, 6358, 19629, 333, 12304, 476, 273, 547, 1376, 2656, 11034, 1982, 281, 19515, 14851, 6025, 5404, 2525, 273, 2187, 453, 453, 657, 269, 17882, 2891, 7090, 2656, 31374, 18258, 834, 266, 4067, 994, 0, 5814, 5569, 1948, 5569, 9074, 568, 25855, 609, 9226, 676, 9949, 692, 3698, 15151, 300, 1155, 5522, 698, 14705, 13425, 518, 29495, 272, 2073, 1257, 273, 264, 10778, 825, 2973, 13142, 3030, 815, 5569, 269, 24393, 1341, 5569, 6155, 580, 1080, 1341, 29038, 834, 567, 1948, 9427, 782, 5309, 9822, 725, 543, 8631, 824, 982, 910, 543, 2230, 543, 540, 1576, 5022, 543, 26897, 692, 825, 2973, 21803, 272, 815, 6882, 10857, 10033, 524, 281, 524, 538, 2973 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 917, 827, 519, 1793, 6235, 998, 1250, 11263, 6656, 2575, 543, 824, 1644, 1344, 563, 1692, 547, 1224, 1107, 1793, 6235, 998, 1250, 11263, 6656, 2575, 6656, 2575, 1280, 623, 10730, 286, 1103, 713, 3381, 267, 596, 786, 1451, 875, 547, 1404, 1900, 676, 1900, 1793, 6235, 998, 1250, 11263, 6656, 2575, 676, 2806, 9346, 593, 519, 14440, 269, 901, 14440, 3992, 11414, 519, 2653, 14440, 22334, 543, 9311, 2939, 585, 519, 2407, 5152, 267, 609, 13465, 269, 1411, 786, 849, 1451, 875, 547, 1404, 519, 23260, 540, 519, 5152, 269, 901, 568, 513, 1390, 5152, 547, 1404, 593, 519, 14440, 3992, 585, 23839, 454, 21581, 15894, 281, 7935, 5287, 674, 532, 619, 454, 2710, 596, 991, 1793, 6235, 998, 1250, 11263, 6656, 2575, 7300, 454, 312, 2464, 1315, 12971, 454, 21761, 9105, 5999, 454, 268, 1627, 269, 5808, 568, 519, 30310, 540, 519, 6656, 2575, 888, 16435, 6235, 998, 1250, 11263, 7376, 676, 2806, 9346, 563, 268, 1627, 269, 1548, 2010, 540, 19639, 618, 1793, 6235, 998, 1250, 11263, 6656, 2575, 888, 16435, 6235, 998, 1250, 11263, 6656, 2575, 19639, 618, 568, 623, 10730, 16847, 8535, 454, 268, 1627, 269, 1215, 1082, 3817, 540, 713, 6656, 2575, 888, 16435, 6235, 998, 1250, 11263, 568, 3817, 476, 275, 538, 3259, 267, 621, 779, 519, 1034, 3044, 563, 268, 1627, 269, 1548, 568, 2480, 1681, 827, 519, 1793, 6235, 998, 1250, 11263, 15017, 16435, 6235, 998, 1250, 11263, 2480, 1681, 568, 623, 10730, 1315, 966, 5914, 1315, 932, 3581, 563, 268, 1627, 269, 2052, 594, 946, 519, 6656, 2575, 7300, 585, 2123, 5301, 888, 8133, 267, 1411, 666, 1863, 946, 1793, 6235, 998, 1250, 11263, 6656, 2575, 2575, 6656, 7300, 3758, 585, 2123, 610, 3872, 5301, 1152, 269, 0, 26015, 14210, 5036, 616, 606, 1898, 1907, 538, 13004, 547, 948, 1453, 1020, 513, 1732, 1620, 540, 2338, 543, 1747, 1871, 909, 547, 476, 275, 1673, 580, 1080, 630, 1320, 748, 1343, 267, 25569, 338, 267, 570, 839, 543, 2201, 525, 1107, 774, 670, 570, 744, 264, 538, 513, 1187, 543, 4052, 1259, 269, 4746, 1634, 607, 1019, 25333, 267, 789, 616, 513, 3308, 267, 6405, 11269, 540, 2338, 799, 666, 581, 9308, 26203, 547, 4194, 2042, 563, 301, 11246, 16038, 30438, 11123, 476, 1708, 275, 256, 2859, 4773, 693, 519, 1482, 1390, 3902, 2336, 680, 10052, 3901, 10378, 12476, 14210, 476, 15221, 4062, 1305, 568, 2966, 585, 1367, 9706, 1515, 4882, 332, 718, 1895, 1565, 538, 1153, 543, 1753, 1565, 269, 9521, 1082, 824, 5036, 2139, 267, 938, 12476, 476, 1015, 3334, 616, 1500, 689, 13381, 5068, 543, 2270, 811, 9937, 22203, 543, 7366, 1166, 1846, 269, 5753, 666, 3362, 1039, 1079, 7857, 2338, 602, 3444, 519, 7366, 10465, 552, 3052, 269, 476, 3583, 1341, 476, 2568, 815, 476, 9873, 630, 10472, 1131, 991, 476, 1724, 1535, 9937, 22203, 865, 824, 1507, 5036, 5627, 1152, 476, 1015, 1535, 9937, 22203, 1131, 711, 581, 2614, 585, 27300, 543, 1036, 29470, 1040, 32167, 2812, 786, 849, 581, 2111, 547, 1039, 1614, 7857, 2338, 602, 3444, 519, 5215, 10465, 552, 3052, 476, 8517, 1341, 476, 12010, 815, 476, 272, 267, 10384, 630, 10472, 1131, 2154, 476, 1704, 3490, 4557, 1166, 1846, 1107, 1034, 5036, 2139, 723, 1152, 476, 1015, 1916, 1911, 1535, 3955, 24286, 4414, 3283, 630, 272, 9492, 23326, 18695, 265, 994, 736, 1535, 3955, 24286, 14117, 570, 839, 630, 272, 9492, 1535, 476, 272, 9492, 1535, 476, 1015, 9492, 22203, 994, 736, 1535, 3955, 24286, 5682, 25569, 338, 630, 272, 9492, 1535, 476, 1015, 9492, 1535, 476, 1015, 9492, 1166, 1846, 994, 272, 1535, 23108, 3437, 9791, 23897, 1343, 630, 1015, 9492, 23326, 7161, 994, 12195, 4785, 476, 272, 1535, 17676, 5068, 4859, 4216, 454, 680, 10052, 3901, 10378, 12476, 14210, 5036, 666, 581, 1031, 609, 1453, 9907, 476, 277, 266, 547, 1451, 513, 2647, 2039, 540, 13004, 3584, 912, 3849, 1288, 543, 25513, 454, 25648, 6473, 543, 10406, 454, 293, 10330, 267, 31353, 543, 20587, 1137, 454, 5978, 726, 10052, 3901, 10378, 12476, 14210, 5036, 723, 1044, 2966, 585, 946, 609, 938, 2039, 540, 726, 10052, 3901, 1747, 1871, 12125, 543, 27669, 799, 616, 723, 5812, 7990, 8193, 538, 11060, 609, 6519, 14986, 13174, 543, 5295, 13174, 2480, 1335, 525, 540, 4804, 269, 3117, 11962, 15437, 2164, 538, 1447, 10539, 950, 1453, 616, 1210, 13004, 6354, 592, 2510, 552, 3052, 269, 950, 1210, 5835, 25549, 18695, 607, 3283, 3079, 540, 519, 2699, 18695, 3254, 538, 519, 12222, 593, 3211, 543, 9499, 563, 763, 14463, 5068, 2063, 3476, 982, 17371, 5036, 630, 5408, 1416, 5528, 265, 264, 543, 519, 954, 24286, 4773, 5512, 1453, 547, 1294, 875, 1142, 1871, 568, 14354, 547, 1776, 269, 901, 2337, 547, 1020, 513, 4514, 1620, 540, 519, 4909, 13004, 17117, 1523, 602, 1142, 1747, 1871, 568, 4557, 2053, 8273, 982, 519, 2450, 540, 519, 2063, 563, 1015, 3283, 815, 476, 272, 4557, 454, 1015, 9937, 815, 476, 272, 4627, 454, 1015, 7366, 815, 476, 272, 8536, 454, 24168, 10790, 312, 9338, 12569, 18688, 29206, 12239, 3633, 5442, 744, 7838, 623, 6369, 309, 3201, 21316, 12813, 19781, 966, 3201, 16604, 13878, 306, 18040, 2975, 295, 25758, 27749, 667, 7838, 21764, 6730, 11555, 4785, 21764, 9338, 9898, 2793, 30888, 2464, 9215, 13138, 4696, 296, 3582, 3201, 12813, 19781, 966, 3201, 16604, 8863, 2752, 4811, 6789, 5990, 312, 25758, 631, 32767, 20978, 18904, 7838, 3201, 681, 308, 17668, 2207, 269, 5990, 23333, 9331, 10064, 10396, 22743, 12717, 18688, 2894, 23370, 22218, 3633, 9215, 18688, 654, 2839, 2207, 5442, 10758, 29308, 9215, 18688, 2475, 3633, 6789, 645, 17955, 570, 2894, 13878, 306, 630, 5976, 519, 9868, 540, 938, 962, 276, 270, 277, 726, 10052, 3901, 607, 519, 9587, 616, 7522, 518, 1916, 12024, 938, 1747, 1871, 27669, 267, 938, 726, 10052, 3901, 10378, 12476, 14210, 5036, 616, 1500, 540, 513, 14463, 13381, 5068, 865, 789, 616, 2653, 547, 2973, 563, 5445, 666, 581, 16173, 18233, 610, 2322, 538, 513, 8670, 13195, 615, 3330, 513, 5078, 9126, 563, 310, 27073, 5058, 281, 8863, 19170, 22743, 313, 19181, 1107, 9540, 20668, 3502, 2672, 3386, 585, 5753, 7201, 476, 274, 13012, 630, 3607, 3275, 994, 288, 2471, 476, 280, 266, 16989, 8111, 9679, 543, 19019, 22490, 454, 20084, 7563, 270, 4753, 26133, 13673, 268, 10170, 4530, 539, 269, 2725, 1115, 2475, 595, 28903, 8881, 21976, 454, 2252, 596, 20053, 547, 4444, 713, 1587, 585, 946, 3544, 519, 5177, 267, 9167, 610, 2475, 267, 621, 568, 519, 707, 5539, 547, 2638, 5225, 2638, 891, 4441, 16783, 543, 2743, 519, 1808, 4170, 585, 707, 2197, 563, 10702, 1344, 666, 581, 1336, 593, 938, 3896, 281, 4179, 2517, 334, 752, 7615, 14048, 16691, 16896, 11486, 848, 268, 1084, 454, 26376, 5058, 14298, 2177, 256, 1284, 616, 538, 519, 1184, 540, 2870, 6266, 540, 5363, 7044, 543, 18862, 547, 6542, 875, 547, 946, 938, 726, 10052, 3901, 10378, 2472, 269, 1677, 2070, 873, 5225, 3643, 938, 13334, 8756, 281, 4179, 2517, 4178, 28938, 2593, 270, 287, 680, 10052, 3901, 454, 2171, 2141, 2648, 547, 917, 875, 938, 726, 10052, 3901, 10378, 2472, 616, 4543, 1453, 547, 4487, 13004, 865, 5225, 2671, 6337, 543, 2833, 540, 1210, 938, 2200, 593, 1514, 2923, 912, 2026, 649, 616, 513, 1507, 267, 1920, 24507, 1870, 267, 707, 5955, 568, 1312, 5363, 543, 1271, 269, 7490, 4734, 513, 2689, 547, 1577, 721, 543, 1866, 917, 1018, 596, 1589, 540, 938, 2472, 543, 6075, 3028, 2336, 289, 9128, 16800, 623, 7838, 6224, 3008, 5058, 267, 623, 4041, 17955, 30426, 5990, 674, 5357, 299, 8582, 5058, 623, 5357, 2975, 22494, 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 ]
[ 891, 1004, 723, 1826, 476, 273, 269, 630, 272, 994, 29730, 11364, 2164, 689, 513, 1950, 5872, 540, 6090, 543, 2825, 2188, 269, 26597, 1455, 4719, 14726, 609, 1507, 2360, 593, 1973, 2604, 723, 1044, 4857, 607, 1134, 607, 930, 4686, 4719, 14726, 609, 1804, 2360, 593, 1973, 2604, 269, 4746, 267, 11646, 17253, 7681, 2090, 630, 294, 310, 3008, 264, 723, 4857, 476, 3374, 4719, 1327, 328, 1644, 547, 1973, 2604, 282, 476, 1321, 540, 891, 4719, 1327, 328, 12018, 1973, 2604, 941, 9241, 1336, 269, 13329, 514, 601, 19301, 303, 585, 1142, 1007, 4719, 30580, 4857, 814, 3254, 606, 7681, 609, 5027, 18861, 566, 693, 2789, 7404, 595, 335, 294, 4609, 269, 1452, 2366, 514, 601, 19301, 303, 616, 4092, 1369, 6090, 1644, 547, 15466, 5347, 4887, 543, 17669, 1599, 269, 5027, 18861, 566, 1522, 1860, 538, 930, 1259, 16046, 1455, 4719, 8390, 547, 2789, 4307, 8040, 1256, 1498, 6127, 5817, 891, 12205, 616, 711, 6956, 269, 17266, 14583, 1449, 5340, 538, 713, 1353, 585, 519, 476, 3374, 2366, 514, 601, 19301, 303, 630, 4385, 543, 1007, 264, 4951, 602, 4719, 14726, 2206, 569, 610, 538, 14919, 3565, 547, 1981, 540, 4791, 4307, 8040, 1644, 547, 1164, 1973, 2604, 563, 21790, 20324, 1328, 281, 898, 568, 1271, 547, 7390, 547, 2566, 538, 2318, 2081, 269, 13298, 982, 1210, 4568, 267, 10269, 267, 610, 8613, 267, 2119, 7244, 5751, 269, 1358, 616, 2241, 267, 1863, 267, 543, 1318, 896, 707, 9224, 269, 3220, 269, 1284, 559, 814, 16432, 4557, 2081, 547, 2569, 2566, 543, 3895, 11005, 267, 9350, 543, 4708, 1369, 3054, 269, 2368, 2553, 1491, 2259, 267, 543, 1034, 2154, 930, 7029, 593, 707, 851, 547, 3035, 2164, 269, 1717, 267, 519, 2164, 616, 1134, 4502, 519, 4674, 563, 7212, 519, 1101, 6101, 4214, 540, 10894, 6794, 9411, 2564, 9499, 711, 865, 1279, 3516, 630, 1960, 279, 1070, 621, 568, 607, 7839, 607, 533, 574, 1255, 543, 519, 1455, 4411, 1547, 4340, 547, 519, 1977, 9839, 5948, 267, 476, 5325, 2929, 4892, 723, 621, 269, 2334, 781, 3592, 513, 31417, 835, 856, 540, 1169, 3670, 1004, 269, 634, 6794, 8255, 538, 3885, 543, 568, 811, 1455, 1851, 3979, 31787, 267, 3571, 3966, 923, 267, 1306, 2103, 267, 543, 7111, 4892, 269, 634, 4220, 540, 3384, 10894, 6794, 4679, 607, 596, 2085, 563, 1103, 519, 476, 866, 628, 543, 476, 736, 628, 5553, 267, 1354, 2500, 14278, 1670, 2126, 585, 13119, 2968, 2009, 267, 1614, 2126, 23857, 941, 1031, 267, 782, 609, 3875, 2427, 13716, 338, 281, 7453, 9770, 19231, 630, 1721, 1383, 519, 7573, 2732, 1070, 1623, 6312, 515, 551, 3912, 630, 338, 17790, 705, 3175, 540, 2694, 540, 519, 25091, 8401, 1062, 1070, 543, 7510, 4088, 3797, 630, 514, 20287, 540, 6878, 602, 3361, 513, 8611, 267, 18549, 4227, 1973, 2604, 1916, 11101, 267, 621, 568, 6059, 602, 476, 272, 2669, 568, 15286, 829, 476, 1556, 2550, 5701, 585, 3942, 476, 272, 13119, 543, 824, 9025, 1981, 2188, 950, 513, 13455, 5786, 540, 476, 1321, 6515, 29666, 538, 30918, 4301, 22680, 936, 476, 1015, 1296, 568, 6913, 269, 476, 1717, 267, 585, 519, 1482, 5786, 568, 30918, 4301, 22680, 5786, 267, 621, 568, 6059, 602, 476, 272, 2669, 568, 15286, 829, 476, 280, 2550, 5701, 950, 9025, 2068, 610, 1439, 268, 6716, 3441, 568, 1459, 269, 3097, 317, 1627, 848, 655, 267, 589, 282, 654, 2830, 267, 570, 297, 282, 6762, 267, 681, 282, 9966, 874, 9445, 267, 26993, 282, 29778, 267, 808, 282, 1280, 322, 773, 320, 267, 10790, 282, 11916, 13832, 9730, 540, 519, 1977, 5441, 540, 4284, 5974, 543, 519, 8189, 593, 2657, 540, 519, 5398, 543, 3163, 540, 519, 1977, 9142, 540, 7731, 267, 4284, 5974, 269, 630, 2641, 4728, 476, 1001, 278, 1040, 834, 4942, 29108, 11043, 9615, 540, 15214, 11364, 538, 20661, 589, 3022, 476, 2568, 13012, 610, 24771, 547, 14451, 12411, 639, 13722, 10552, 16242, 28080, 1115, 281, 589, 11916, 6657, 10842, 5202, 3245, 519, 1977, 5441, 540, 4284, 5974, 543, 519, 1977, 9142, 540, 7731, 4284, 5974, 2668, 7788, 1023, 540, 18378, 6925, 269, 476, 14917, 630, 277, 2567, 476, 25396, 1700, 275, 4391, 269, 8222, 281, 1015, 269, 278, 3953, 277, 8276, 1626, 268, 9965, 276, 269, 20163, 476, 27005, 3374, 278, 1839, 563, 317, 715, 720, 548, 267, 5345, 320, 282, 8614, 527, 2401, 267, 918, 5055, 639, 282, 9710, 341, 987, 267, 20913, 282, 12054, 331, 1080, 577, 267, 7338, 282, 30142, 577, 267, 12832, 1961, 282, 4173, 337, 10458, 267, 918, 1009, 523, 670, 5919, 717, 709, 1597, 267, 21853, 5341, 282, 670, 9007, 985, 267, 570, 520, 329, 3570, 282, 12920, 330, 839, 267, 700, 1513, 717, 5919, 27119, 17754, 327, 21580, 267, 1656, 16699, 630, 1001, 275, 1040, 834, 32747, 7145, 540, 2566, 3146, 9134, 2553, 538, 2550, 609, 13119, 2668, 4750, 540, 15214, 11364, 269, 476, 3953, 630, 1015, 2567, 476, 4350, 277, 1700, 4510, 269, 8222, 281, 1015, 269, 11820, 278, 26260, 297, 295, 269, 1822, 1822, 1822, 1822, 271, 3066, 279, 269, 31192, 476, 271, 2918, 274, 268, 277, 3374, 273, 269, 20163, 476, 7742, 279, 6246, 5400, 563, 763, 5711, 7280, 10892, 1449, 630, 8104, 22721, 1070, 610, 7280, 10892, 1449, 568, 513, 1973, 1449, 1031, 630, 2254, 22991, 2705, 264, 547, 13209, 3987, 267, 543, 29556, 3987, 269, 6176, 538, 2543, 547, 10727, 540, 519, 5711, 7280, 10892, 1449, 568, 1271, 267, 607, 930, 2175, 630, 21720, 4411, 1070, 610, 1426, 630, 322, 25377, 710, 1070, 610, 6197, 6208, 630, 8243, 3183, 264, 949, 7369, 519, 2164, 540, 519, 5711, 7280, 10892, 1449, 563, 2026, 10423, 689, 519, 1657, 267, 7820, 2043, 949, 1459, 609, 13119, 2404, 609, 606, 11506, 13487, 3977, 630, 14683, 13050, 1584, 13119, 1040, 4400, 13050, 1584, 13119, 2164, 689, 4320, 543, 9770, 12802, 676, 519, 8459, 267, 3056, 547, 2799, 8482, 4320, 543, 267, 1419, 267, 609, 13487, 14242, 676, 19076, 21544, 30759, 269, 3590, 545, 15466, 4187, 568, 3622, 711, 2799, 693, 971, 4505, 5933, 540, 13119, 269, 1306, 13119, 568, 13455, 267, 2705, 267, 15466, 14624, 1519, 28889, 9934, 267, 21729, 27019, 560, 9689, 267, 543, 15466, 4686, 8351, 2049, 267, 3056, 547, 2799, 11528, 15466, 4187, 269, 769, 713, 3510, 267, 13487, 3977, 568, 3622, 3339, 610, 5594, 4389, 267, 543, 21883, 1973, 4320, 568, 3339, 563, 30048, 22577, 568, 513, 5312, 2068, 267, 585, 799, 972, 568, 1100, 1634, 10826, 4849, 538, 1360, 1808, 3871, 269, 5004, 30211, 593, 5329, 1973, 4006, 2157, 607, 2673, 547, 3339, 267, 1510, 4929, 1970, 1973, 4006, 269, 901, 666, 2356, 581, 12913, 609, 513, 2635, 2732, 267, 3635, 267, 2597, 2530, 267, 543, 946, 540, 3617, 6527, 630, 1231, 6081, 538, 519, 2013, 540, 1826, 476, 272, 3987, 282, 5711, 6527, 267, 607, 1134, 607, 7654, 7378, 267, 538, 1826, 476, 273, 3987, 1040, 4179, 2517, 874, 9369, 18994, 340, 4877, 889, 270, 3249, 344, 330, 902, 12064, 270, 874, 9369, 9078, 1618, 27970, 454, 1103, 519, 2475, 267, 476, 10019, 269, 272, 2929, 4079, 1765, 3467, 982, 476, 272, 538, 476, 274, 1765, 17647, 2392, 328, 3449, 267, 543, 476, 3445, 260, 540, 873, 1810, 1406, 917, 789, 723, 621, 269, 20530, 328, 3449, 568, 513, 3978, 1072, 2783, 1141, 1973, 4006, 2157, 616, 2362, 982, 3339, 267, 855, 711, 1164, 2614, 2943, 547, 581, 8995, 607, 3987, 269, 20530, 328, 3449, 4679, 707, 1981, 585, 1826, 476, 273, 3987, 267, 2295, 2068, 267, 543, 8482, 269, 1809, 998, 519, 15509, 21445, 2817, 12128, 10644, 5358, 267, 596, 666, 1451, 4052, 267, 1483, 3734, 2242, 602, 666, 2759, 707, 1981, 585, 3384, 1826, 476, 273, 3987, 676, 607, 1454, 607, 476, 6812, 260, 630, 10170, 260, 952, 596, 2461, 476, 2568, 610, 4587, 1916, 18404, 20326, 6794, 568, 5156, 547, 1020, 1813, 547, 7378, 4187, 269, 6184, 6081, 568, 513, 9449, 602, 568, 3812, 676, 519, 18558, 630, 534, 1418, 4092, 2282, 7181, 1040, 898, 2337, 1973, 4006, 4283, 2281, 267, 1141, 621, 568, 1031, 585, 1648, 269, 2060, 7378, 4187, 267, 519, 1560, 14543, 547, 5431, 519, 7378, 602, 568, 3812, 267, 4929, 519, 4006, 547, 18645, 538, 519, 1973, 3079, 540, 1373, 12842, 883, 824, 2281, 269, 5221, 1973, 4006, 2157, 2611, 1164, 267, 519, 18558, 8952, 6721, 811, 543, 811, 7378, 267, 3056, 547, 1164, 7378, 2157, 269, 2755, 1973, 4006, 2157, 616, 711, 1164, 2614, 547, 581, 9286, 607, 3987, 267, 789, 798, 2333, 519, 1981, 540, 3384, 3978, 1072, 2042, 563, 763, 4791, 1871, 540, 1210, 834, 5471, 20326, 6794, 257, 607, 513, 5868, 814, 5892, 1044, 23503, 1813, 547, 1114, 5036, 540, 20849, 543, 18106, 10368, 7355, 269, 1452, 4145, 723, 3366, 519, 1977, 12128, 5948, 543, 519, 3864, 5948, 585, 519, 5530, 540, 12128, 547, 3390, 513, 4745, 3948, 7114, 5216, 2101, 4145, 593, 519, 4791, 10626, 540, 519, 10894, 6794, 5868, 269, 634, 9030, 4661, 814, 1044, 602, 950, 1476, 15929, 2188, 971, 607, 8377, 616, 20039, 585, 267, 5868, 540, 519, 10894, 6794, 814, 513, 30050, 7681, 609, 519, 1981, 540, 2295, 2068, 563, 3719, 7303, 519, 2068, 689, 3356, 532, 952, 596, 2907, 723, 621, 3340, 1101, 1373, 2111, 547, 5544, 519, 4191, 543, 2589, 540, 3987, 950, 789, 2408, 269, 2755, 930, 1826, 476, 273, 3987, 2589, 949, 711, 2479, 1397, 909, 267, 596, 666, 4585, 856, 585, 519, 1739, 1455, 4191, 540, 519, 2068, 543, 10332, 707, 4387, 267, 2523, 952, 596, 723, 1022, 540, 519, 1455, 1981, 2188, 585, 3987, 269, 4746, 1832, 538, 2247, 602, 1247, 1034, 4191, 540, 1826, 476, 273, 3987, 616, 519, 1482, 538, 2367, 543, 2021, 267, 972, 616, 930, 21441, 563, 23338, 8377, 568, 513, 1883, 4183, 540, 519, 6794, 267, 1373, 1312, 513, 1129, 543, 513, 2014, 267, 538, 602, 519, 2810, 28539, 13920, 1419, 10630, 538, 1164, 22765, 18592, 949, 1312, 1267, 689, 543, 3565, 547, 7378, 4187, 269, 1717, 267, 5103, 519, 2956, 540, 8377, 267, 2550, 945, 616, 540, 3339, 2597, 949, 849, 581, 7378, 15033, 543, 723, 519, 6794, 563, 26108, 2604, 568, 519, 6482, 540, 519, 2604, 610, 3196, 540, 1973, 11319, 1996, 1973, 6077, 6821, 269, 769, 13119, 630, 14683, 1973, 2604, 1070, 519, 2604, 1996, 519, 1973, 6077, 6821, 568, 9846, 1932, 1164, 269, 4400, 1973, 2604, 568, 1419, 1572, 519, 968, 338, 559, 550, 20740, 892, 1317, 596, 949, 711, 581, 3222, 602, 4376, 568, 4636, 267, 855, 519, 3441, 568, 9648, 1369, 707, 1560, 563, 317, 16869, 19937, 593, 21091, 13832, 585, 31292, 2657, 543, 11485, 22159, 538, 5753, 543, 20390, 30105, 267, 2817, 9839, 267, 25016, 267, 543, 10552, 4659, 630, 13356, 476, 1001, 272, 1040, 834, 2750, 13630, 8470, 593, 7471, 4808, 585, 9025, 1072, 543, 1981, 5786, 538, 1453, 543, 10708, 281, 5758, 1867, 2668, 27435, 269, 476, 12553, 4675, 331, 476, 276, 281, 590, 22659, 1700, 6321, 269, 8222, 281, 1015, 269, 15150, 273, 9706, 2644, 269, 1220, 280, 268, 13975, 278, 290, 269, 6751, 290, 476, 28526, 4792, 279, 273, 269, 20163, 476, 13136, 279, 6246, 3066, 563, 297, 523, 568, 835, 540, 519, 1655, 19393, 538, 519, 1870, 267, 543, 1352, 779, 1634, 585, 519, 1164, 2298, 540, 1200, 960, 269, 9578, 267, 1352, 30528, 519, 1871, 899, 21173, 269, 700, 310, 293, 568, 513, 4199, 596, 3580, 3136, 547, 946, 585, 519, 1964, 540, 707, 1272, 269, 6787, 596, 899, 11337, 1479, 10428, 338, 267, 3046, 10428, 338, 267, 1560, 7076, 2866, 267, 610, 513, 4999, 267, 23514, 779, 3893, 596, 4988, 269, 594, 10018, 596, 3580, 581, 1210, 519, 23736, 538, 1934, 585, 1296, 547, 2097, 563, 18404, 20326, 6794, 568, 513, 24567, 2518, 1966, 269, 27051, 835, 8772, 540, 519, 2937, 3864, 2551, 568, 6059, 547, 723, 10894, 6794, 267, 609, 513, 2147, 9860, 538, 5824, 3013, 269, 476, 898, 568, 849, 2808, 606, 6932, 15435, 538, 3384, 5101, 7489, 2477, 267, 1519, 3624, 267, 3567, 267, 543, 9705, 269, 634, 9860, 540, 10894, 6794, 538, 5101, 5607, 949, 2039, 689, 476, 279, 268, 1724, 260, 538, 2367, 543, 689, 476, 273, 268, 1240, 260, 538, 2021, 267, 4470, 593, 519, 2551, 543, 8847, 1031, 269, 1496, 3066, 267, 476, 1789, 267, 476, 4029, 2639, 4263, 1459, 267, 519, 1977, 12128, 5948, 1281, 711, 4363, 2489, 9584, 540, 519, 2551, 585, 1826, 476, 272, 3987, 267, 1498, 9584, 540, 1164, 1981 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30472, 338, 689, 891, 12730, 799, 616, 1500, 538, 513, 2027, 1259, 2496, 2162, 8617, 681, 902, 476, 273, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1432, 3337, 568, 1500, 950, 596, 16784, 1210, 713, 1212, 848, 4806, 286, 2052, 596, 1118, 513, 8258, 1374, 286, 0, 1012, 9664, 692, 2162, 19436, 18289, 4147, 476, 280, 8827, 692, 2080, 616, 1906, 1966, 3070, 585, 19436, 18289, 1362, 476, 280, 3070, 269, 1142, 3070, 568, 2143, 2614, 547, 2312, 782, 519, 8969, 454, 296, 476, 1109, 17647, 2016, 873, 930, 2110, 543, 930, 1279, 1826, 2055, 454, 14112, 2243, 912, 9223, 5231, 1109, 272, 912, 2691, 786, 596, 1094, 2483, 10998, 12224, 18289, 4147, 476, 280, 8827, 692, 2162, 1215, 547, 798, 519, 6323, 2042, 692, 30125, 568, 835, 540, 519, 27162, 4554, 1641, 543, 2875, 1419, 1745, 11784, 538, 602, 15660, 993, 1603, 713, 2376, 547, 948, 2875, 7753, 519, 4250, 543, 11784, 454, 3086, 1101, 540, 782, 594, 1131, 2161, 602, 798, 711, 581, 12922, 540, 519, 1641, 607, 594, 2161, 1586, 543, 1586, 6323, 547, 803, 568, 1034, 2596, 540, 782, 9443, 543, 596, 1590, 1265, 519, 1641, 4277, 543, 2285, 3054, 4128, 585, 4974, 621, 585, 803, 621, 729, 1175, 1018, 594, 4941, 547, 1353, 11489, 1250, 18544, 4110, 543, 1631, 594, 899, 4543, 1053, 1620, 6323, 780, 3086, 596, 723, 707, 4128, 540, 4974, 519, 1641, 1934, 594, 3580, 1592, 2798, 799, 594, 1745, 2556, 538, 875, 547, 798, 6323, 2042, 692, 1692, 547, 798, 519, 6323, 2042, 692, 2162, 2817, 13669, 550, 9612, 22410, 630, 301, 4811, 292, 264, 476, 1001, 276, 268, 1001, 277, 692, 13233, 13669, 550, 9612, 22410, 630, 301, 4811, 292, 264, 476, 1001, 276, 268, 1001, 277, 454, 1432, 568, 2817, 13669, 550, 9612, 22410, 630, 301, 4811, 292, 25145, 2005, 568, 513, 3084, 7400, 14172, 1982, 538, 519, 4095, 5742, 547, 2697, 543, 5431, 1053, 609, 1164, 6457, 543, 4429, 13233, 13669, 550, 9612, 22410, 630, 301, 4811, 292, 264, 476, 1001, 276, 268, 1001, 277, 692, 2162, 4147, 476, 1015, 23048, 25226, 4273, 1833, 630, 3519, 32383, 1341, 19436, 10298, 2020, 272, 269, 25226, 4273, 1833, 16610, 454, 273, 269, 25226, 4273, 1833, 19436, 10298, 692, 28775, 596, 899, 873, 692, 2162, 4147, 476, 1015, 13004, 13392, 4834, 692, 303, 3287, 264, 815, 4949, 273, 1109, 17070, 343, 25239, 1741, 1141, 513, 19749, 510, 271, 454, 1314, 273, 1109, 17070, 343, 25239, 1741, 815, 271, 3396, 1141, 513, 19749, 510, 271, 454, 11405, 610, 3597, 540, 519, 28065, 3830, 454, 288, 1483, 1297, 14668, 568, 1572, 519, 3597, 610, 3070, 540, 519, 13392, 3830, 952, 454, 273, 1109, 17070, 10382, 25239, 284, 271, 454, 5278, 824, 2798, 547, 3314, 454, 1892, 634, 3597, 540, 519, 13392, 3830, 568, 519, 4642, 525, 540, 519, 9971, 533, 3287, 1916, 1892, 1284, 917, 689, 3184, 1079, 602, 513, 9971, 540, 4110, 666, 723, 3193, 1079, 4642, 525, 269, 1924, 513, 13392, 3830, 666, 723, 5021, 1079, 5072, 454, 1892, 589, 13392, 1109, 3830, 814, 1100, 1483, 5072, 952, 536, 273, 268, 476, 275, 659, 2999, 476, 271, 0, 258, 26344, 6248, 13158, 3930, 692, 1892, 8734, 476, 280, 628, 476, 1220, 279, 267, 476, 5881, 281, 4962, 6751, 454, 20597, 9926, 454, 307, 3419, 517, 6248, 13158, 3930, 454, 272, 269, 589, 30866, 568, 10760, 476, 279, 269, 277, 332, 1657, 519, 2666, 693, 606, 5086, 540, 15038, 540, 476, 6078, 2554, 269, 12433, 519, 3259, 540, 519, 5569, 267, 547, 519, 14282, 20870, 540, 513, 11281, 2877, 547, 8038, 519, 30866, 780, 273, 269, 3245, 513, 2990, 930, 3845, 2476, 689, 519, 3490, 540, 519, 9206, 335, 1961, 267, 7325, 773, 9193, 602, 519, 15393, 568, 476, 276, 269, 3374, 332, 7381, 693, 606, 5086, 540, 15038, 540, 476, 1839, 2554, 269, 1403, 7325, 773, 568, 476, 272, 269, 4649, 332, 7381, 630, 817, 2541, 713, 568, 1200, 3750, 1377, 1070, 946, 513, 25066, 5223, 547, 5173, 875, 2484, 1352, 568, 689, 519, 3490, 540, 519, 9206, 335, 1961, 267, 547, 519, 14282, 4627, 628, 540, 513, 11281, 563, 1892, 8734, 476, 280, 628, 476, 1220, 279, 267, 476, 5881, 281, 6021, 6751, 454, 1556, 6113, 322, 1556, 454, 32621, 1384, 23192, 17397, 676, 4787, 9926, 454, 272, 269, 589, 30866, 568, 10760, 476, 279, 269, 277, 332, 1657, 519, 2666, 693, 606, 5086, 540, 15038, 540, 476, 6078, 2554, 269, 12433, 519, 3259, 540, 519, 5569, 267, 547, 519, 14282, 20870, 540, 513, 11281, 2877, 547, 8038, 519, 30866, 780, 273, 269, 3245, 513, 2990, 930, 3845, 2476, 689, 519, 3490, 540, 519, 9206, 335, 1961, 267, 7325, 773, 9193, 602, 519, 15393, 568, 476, 276, 269, 3374, 332, 7381, 693, 606, 5086, 540, 15038, 540, 476, 1839, 2554, 269, 1403, 7325, 773, 568, 476, 272, 269, 4649, 332, 7381, 630, 817, 2541, 713, 568, 1200, 3750, 1377, 1070, 946, 513, 25066, 5223, 547, 5173, 875, 2484, 1352, 568, 689, 519, 3490, 540, 519, 9206, 335, 1961, 267, 547, 519, 14282, 4627, 628, 540, 513, 11281, 780, 2690, 519, 1101, 1966, 946, 692, 7445, 7562, 346, 6078, 348, 815, 1422, 2765, 346, 279, 269, 277, 332, 2410, 327, 10592, 24169, 585, 554, 454, 1892, 8734, 476, 280, 628, 476, 1220, 279, 267, 476, 5881, 281, 1691, 6751, 454, 3682, 557, 898, 454, 32621, 1384, 23192, 17397, 676, 4787, 9926, 454, 272, 269, 589, 30866, 568, 10760, 476, 279, 269, 277, 332, 1657, 519, 2666, 693, 606, 5086, 540, 15038, 540, 476, 6078, 2554, 269, 12433, 519, 3259, 540, 519, 5569, 267, 547, 519, 14282, 20870, 540, 513, 11281, 2877, 547, 8038, 519, 30866, 780, 273, 269, 3245, 513, 2990, 930, 3845, 2476, 689, 519, 3490, 540, 519, 9206, 335, 1961, 267, 7325, 773, 9193, 602, 519, 15393, 568, 476, 276, 269, 3374, 332, 7381, 693, 606, 5086, 540, 15038, 540, 476, 1839, 2554, 269, 1403, 7325, 773, 568, 476, 272, 269, 4649, 332, 7381, 630, 817, 2541, 713, 568, 1200, 3750, 1377, 1070, 946, 513, 25066, 5223, 547, 5173, 875, 2484, 1352, 568, 689, 519, 3490, 540, 519, 9206, 335, 1961, 267, 547, 519, 14282, 4627, 628, 540, 513, 11281, 780, 19352, 513, 4605, 540, 1018, 568, 8345, 538, 476, 273, 543, 596, 1058, 581, 2111, 547, 4137, 621, 856, 269, 0, 13043, 543, 25226, 692, 258, 1215, 666, 596, 1039, 476, 2412, 593, 513, 524, 659, 592, 831, 1510, 1210, 2185, 2496, 11277, 692, 30607, 476, 1220, 280, 268, 6021, 268, 1789, 476, 2537, 281, 1724, 281, 6795, 692, 2791, 666, 1039, 476, 1015, 2185, 2053, 267, 610, 2947, 5216, 2053, 267, 610, 1256, 1079, 8938, 2053, 780, 16055, 494, 382, 509, 382, 502, 382, 480, 454, 271, 454, 16055, 494, 382, 509, 382, 492, 382, 481, 454, 271, 454, 16055, 494, 382, 509, 6893, 482, 6893, 486, 454, 271, 454, 16055, 494, 382, 509, 382, 502, 6893, 492, 454, 271, 692, 1012, 13565, 5999, 692, 2005, 568, 519, 1482, 3364, 607, 4946, 1510, 513, 586, 1695, 5622, 7329, 692, 25172, 273, 1510, 1210, 513, 9498, 476, 2439, 27917, 10117, 1491, 2476, 2185, 543, 1287, 1039, 513, 2185, 543, 2053, 676, 630, 273, 2053, 476, 275, 2020, 604, 789, 616, 1312, 2942, 267, 1039, 899, 789, 616, 2318, 2338, 267, 855, 1175, 1039, 519, 2942, 1129, 780, 1607, 568, 2352, 547, 2626, 1510, 6616, 519, 1826, 540, 5816, 3760, 596, 2811, 1210, 780, 21413, 1022, 3606, 11690, 1231, 267, 713, 666, 581, 2944, 1210, 519, 4971, 834, 270, 325, 1039, 6231, 1607, 568, 7543, 910, 1100, 2185, 15654, 9981, 1039, 547, 476, 3607, 780, 12179, 821, 666, 1039, 513, 2689, 585, 27657, 9453, 623, 640, 269, 1411, 3274, 991, 547, 2845, 538, 547, 741, 3896, 1210, 707, 27024, 543, 10957, 267, 789, 786, 849, 2285, 596, 519, 4781, 540, 19142, 538, 609, 9365, 865, 602, 596, 1810, 1405, 723, 547, 1711, 606, 2272, 609, 873, 780, 2791, 666, 711, 4670, 3054, 1510, 513, 2780, 8254, 269, 1717, 267, 596, 666, 4444, 606, 1039, 593, 8254, 10540, 543, 13622, 621, 909, 547, 519, 1318, 3301, 2439, 288, 29105, 3085, 1405, 723, 5232, 269, 898, 814, 2185, 5011, 267, 2185, 3330, 7285, 267, 2185, 3544, 7285, 267, 513, 15943, 267, 543, 606, 1858, 269, 1403, 596, 1039, 909, 519, 3800, 540, 782, 2185, 3544, 7285, 267, 789, 1039, 547, 476, 11740, 5232, 269, 1403, 596, 1039, 909, 519, 3800, 540, 782, 2185, 3330, 7285, 267, 789, 1039, 547, 476, 11740, 5232, 1932, 780, 10112, 11167, 621, 568, 513, 2185, 521, 3660, 6806, 4137, 267, 519, 2040, 540, 519, 7285, 568, 2141, 476, 11740, 5232, 269, 1280, 1383, 267, 513, 13551, 814, 2185, 5011, 609, 1142, 5086, 3160, 547, 476, 3445, 5232, 269, 1403, 596, 1039, 1142, 540, 519, 7285, 1927, 596, 2097, 909, 609, 519, 2040, 540, 519, 7285, 2698, 532, 476, 11740, 2554, 816, 780, 9617, 1039, 909, 519, 2185, 5011, 269, 2791, 1039, 909, 519, 13080, 540, 519, 2185, 5011, 780, 2467, 616, 1100, 2185, 9642, 2338, 602, 786, 1039, 909, 547, 562, 31106, 780, 8133, 8206, 1411, 1039, 620, 2185, 5011, 547, 1205, 519, 1267, 692, 18208, 16816, 268, 11767, 1247, 538, 519, 4542, 11049, 6885, 693, 519, 1283, 540, 519, 2985, 547, 1039, 606, 1039, 339, 1308, 1899, 1369, 513, 1591, 780, 30607, 4569, 543, 25226, 7922, 690, 3101, 21659, 331, 2135, 299, 545, 528, 823, 300, 710, 8154, 5938, 7697, 543, 11473, 4467, 1584, 619, 10481, 5852, 12892, 8416, 15750, 2572, 19859, 7809, 9185, 692, 15648, 476, 6893, 351, 6893, 487, 476, 1708, 271, 25092, 9012, 267, 20941, 269, 2353, 7126, 27616, 269, 634, 1570, 593, 713, 3135, 666, 711, 581, 25735, 267, 7856, 267, 10299, 267, 524, 3737, 610, 6382, 1031, 267, 4849, 609, 1991, 2854, 10479, 540, 25092, 269, 0, 258, 2983, 334, 5040, 814, 1007, 1109, 12921, 1571, 692, 288, 1007, 4528, 540, 2983, 334, 5040, 814, 1044, 5950, 267, 538, 12498, 269, 898, 779, 1572, 2983, 334, 5040, 476, 276, 269, 271, 267, 543, 596, 666, 1294, 519, 3377, 827, 621, 1934, 269, 2107, 267, 1934, 779, 513, 1463, 3095, 547, 10131, 621, 1318, 2476, 269, 8729, 547, 634, 4258, 777, 1763, 792, 7815, 585, 519, 1291, 593, 713, 269, 1306, 3988, 540, 713, 5816, 949, 2907, 917, 267, 594, 2648, 2983, 334, 5040, 2439, 3080, 540, 519, 1292, 8711, 568, 602, 2983, 334, 5040, 1631, 7028, 476, 274, 291, 6354, 2827, 269, 21220, 13135, 256, 1717, 267, 1810, 1406, 1205, 1932, 9599, 1700, 527, 3085, 1406, 1577, 596, 3113, 4376, 4849, 14742, 269, 3143, 7252, 269, 898, 786, 798, 12166, 25481, 267, 899, 21384, 543, 929, 3359, 269, 4635, 4164, 13011, 4834, 543, 519, 30580, 4183, 267, 596, 666, 1071, 1314, 621, 883, 17021, 3303, 1023, 610, 824, 2230, 14258, 269, 1496, 539, 527, 281, 594, 23125, 713, 729, 2009, 267, 855, 621, 2965, 7012, 1406, 269, 3502, 2386, 1946, 269, 6540, 5194, 5031, 267, 799, 594, 1265, 1256, 811, 3078, 267, 568, 602, 2983, 334, 5040, 1631, 814, 513, 3710, 538, 31909, 269, 3371, 779, 513, 5496, 8929, 540, 803, 4730, 1472, 609, 513, 1906, 540, 922, 2934, 269, 898, 849, 814, 513, 2081, 547, 979, 267, 2523, 585, 1346, 945, 616, 1031, 547, 811, 7347, 1949, 899, 4223, 11490, 320, 19072, 18393, 22230, 518, 633, 270, 2316, 268, 8660, 269, 1809, 713, 568, 513, 1390, 1900, 538, 519, 1318, 4287, 267, 543, 476, 1015, 2798, 585, 519, 1930, 21299, 3786, 2439, 30860, 602, 621, 666, 960, 609, 21335, 538, 2081, 596, 1131, 2503, 267, 621, 666, 3090, 1227, 11753, 543, 17589, 630, 13678, 921, 1919, 1070, 1685, 9864, 6824, 17883, 267, 6218, 7182, 267, 543, 1265, 5072, 269, 3371, 616, 513, 1906, 811, 1919, 621, 666, 798, 269, 5899, 1052, 569, 267, 621, 1185, 2042, 4466, 519, 1950, 5072, 540, 513, 13392, 630, 324, 6470, 1070, 855, 711, 513, 12945, 630, 14551, 1040, 3807, 1491, 513, 1413, 693, 1250, 5496, 8929, 269, 22628, 602, 621, 1705, 15502, 4466, 519, 1950, 5072, 267, 594, 9289, 952, 621, 1223, 849, 4729, 873, 585, 803, 269, 594, 3323, 676, 10024, 630, 19817, 3539, 543, 2250, 532, 264, 519, 1950, 21325, 607, 2798, 538, 2983, 334, 5040, 267, 799, 5249, 269, 1809, 1287, 594, 4362, 519, 1007, 13216, 305, 2393, 26514, 1599, 799, 4114, 23660, 519, 5072, 543, 13602, 873, 593, 519, 11282, 7077, 782, 693, 2899, 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 ]