zhijun1/cultralX-8b · Datasets at Hugging Face

input_ids sequencelengths 1.02k 1.02k	attention_mask sequencelengths 1.02k 1.02k
[ 88718, 87262, 16123, 11, 2030, 6616, 18069, 89, 7256, 11, 20624, 268, 9089, 55928, 54548, 19349, 15719, 11, 5999, 11, 14948, 24440, 794, 321, 4368, 35363, 471, 343, 19349, 14821, 13, 9236, 5999, 10928, 85227, 94213, 6772, 11, 14948, 1531, 773, 85117, 70511, 6538, 50041, 38684, 5999, 11, 14948, 1531, 140527, 11129, 13977, 5999, 13, 619, 7294, 14821, 6616, 141257, 37419, 489, 8535, 624, 18175, 74519, 91450, 96115, 15719, 2714, 20491, 359, 6772, 9421, 65423, 13, 9236, 5999, 25531, 39771, 264, 1362, 541, 408, 458, 24440, 11, 4622, 261, 41210, 52287, 72170, 709, 627, 665, 2823, 482, 11, 19104, 1531, 41762, 42469, 34749, 4928, 268, 19349, 11, 34749, 14101, 546, 12385, 35323, 2746, 5166, 11, 13368, 9911, 39264, 13, 8495, 14821, 34542, 13279, 3371, 51019, 3821, 15795, 1527, 139376, 268, 34542, 304, 3371, 68667, 268, 26349, 307, 932, 264, 1362, 57301, 481, 8793, 11, 14948, 3845, 9911, 52434, 85227, 94213, 6772, 35103, 289, 864, 13, 43997, 9911, 7906, 723, 64, 32030, 11, 14821, 24396, 524, 3226, 2305, 81548, 43105, 9443, 4370, 2030, 1531, 14821, 54548, 8793, 18520, 8688, 896, 73276, 624, 18175, 74519, 91450, 96115, 15719, 2714, 20491, 359, 6772, 289, 11042, 343, 19349, 2030, 41852, 60322, 11, 13368, 9911, 6616, 4371, 6276, 11, 6616, 9911, 304, 49765, 465, 55167, 458, 2694, 57093, 35363, 48015, 452, 1960, 451, 21519, 6899, 87895, 54649, 386, 6207, 85623, 5178, 11, 60021, 383, 12755, 13, 21890, 20096, 14821, 75130, 11, 1508, 9911, 5699, 261, 11687, 12385, 8793, 11, 51939, 1508, 1126, 17958, 6616, 4371, 6276, 17859, 24131, 645, 426, 11, 86899, 1531, 10928, 8793, 9421, 13368, 304, 3371, 444, 2305, 5183, 13, 9236, 67594, 2746, 13452, 1371, 12385, 2694, 794, 321, 12385, 2746, 350, 1862, 1777, 19349, 11, 14948, 1531, 6538, 13906, 811, 14047, 13012, 268, 633, 56364, 6395, 19349, 70251, 396, 11, 19104, 1531, 14821, 87262, 45702, 4368, 35363, 471, 343, 19349, 624, 3636, 52549, 2746, 74519, 91450, 7276, 956, 84, 19658, 32454, 481, 9911, 10246, 12755, 1531, 11, 19104, 9911, 8896, 11386, 383, 34553, 2030, 2030, 2574, 3612, 287, 20005, 14356, 1579, 13, 1674, 642, 11, 572, 304, 17443, 85960, 8675, 69876, 14821, 11, 14821, 7219, 54649, 81828, 5679, 73086, 64857, 13, 1674, 642, 11, 572, 9820, 77775, 1330, 20542, 143037, 11, 14821, 52716, 17209, 268, 17630, 13, 2055, 4878, 9911, 14588, 12, 39173, 12, 3636, 13785, 2746, 58154, 143492, 94505, 89, 68989, 13, 468, 16470, 11, 1531, 14821, 25531, 17790, 17859, 7219, 24440, 9421, 65423, 13, 8495, 8896, 9820, 296, 21558, 301, 960, 9305, 2305, 1923, 2185, 458, 26349, 307, 2185, 624, 30124, 23348, 22385, 28883, 39013, 355, 309, 26612, 5999, 9820, 61550, 54649, 50441, 1338, 268, 13, 8495, 14821, 12222, 37108, 4059, 1579, 3987, 268, 51134, 11, 2746, 7364, 15359, 529, 31357, 22325, 18729, 33827, 17630, 13, 23980, 5699, 134291, 5840, 34749, 74857, 142432, 4368, 11, 773, 14948, 9911, 83835, 71765, 458, 42477, 268, 15719, 11, 24440, 28724, 288, 6395, 37896, 13, 8495, 14821, 57465, 550, 78, 4368, 66723, 288, 5665, 23318, 458, 39449, 383, 47030, 96922, 17630, 11, 2030, 6616, 39264, 5451, 3371, 26875, 57301, 2030, 2429, 22087, 80885, 4368, 1923, 11, 2030, 2746, 38684, 9919, 28324, 11, 14948, 9911, 8793, 38805, 6538, 31008, 44966, 5999, 624, 641, 2694, 62467, 12583, 74519, 4195, 42524, 2746, 32050, 52662, 2603, 17739, 939, 35232, 54942, 4909, 11, 2030, 9911, 12583, 1147, 26862, 6772, 357, 337, 89, 74054, 13, 8495, 12304, 70251, 16676, 6616, 55397, 7219, 2694, 9740, 450, 5451, 2429, 282, 52340, 6591, 50958, 81287, 939, 69284, 1609, 268, 6538, 17443, 38684, 28835, 268, 6395, 81314, 53776, 11, 2030, 53797, 93096, 10928, 44367, 50441, 1338, 5451, 17582, 13847, 268, 2030, 14562, 13, 47436, 4368, 6433, 74565, 91014, 11687, 9089, 2746, 74519, 91450, 96115, 1079, 58009, 69, 2030, 40416, 14047, 49633, 896, 23129, 7219, 2746, 16049, 331, 20005, 40018, 1528, 13, 43997, 9911, 87262, 89463, 1528, 95817, 75315, 11, 76171, 13368, 85117, 9911, 435, 11855, 5999, 11, 14821, 9911, 9911, 54064, 1013, 22837, 624, 51, 4640, 89, 46668, 55857, 21558, 4730, 11, 6538, 17443, 38684, 44340, 6395, 19349, 11, 5999, 2746, 74519, 91450, 96115, 77634, 6772, 2030, 20153, 585, 8935, 265, 661, 343, 2030, 14821, 4622, 261, 41210, 8793, 16034, 70944, 69, 3893, 42316, 11, 1531, 42137, 51939, 11, 1531, 5999, 9820, 312, 54327, 331, 2649, 1952, 328, 1777, 13, 8495, 14821, 2770, 19358, 6772, 5451, 52716, 3893, 14348, 33748, 7577, 22157, 384, 74122, 28421, 62459, 11, 1508, 1126, 17958, 9911, 1531, 93395, 10712, 15462, 773, 59380, 268, 1527, 447, 10712, 9820, 60074, 2305, 602, 7522, 73, 351, 67, 82757, 7997, 83, 13, 8495, 14821, 39771, 51134, 11, 6616, 24440, 1640, 362, 4733, 282, 78120, 11, 19104, 11316, 9820, 468, 766, 50528, 82, 64646, 8896, 13, 8495, 15719, 8793, 1656, 2305, 267, 17917, 12643, 11, 4443, 6395, 2739, 10661, 17454, 11, 75590, 22075, 1531, 7180, 15462, 93615, 83126, 377, 5999, 11, 12385, 10928, 22075, 1531, 8793, 773, 5999, 13, 8495, 3371, 5840, 458, 2746, 42786, 11, 87862, 55397, 6538, 36744, 6250, 4554, 1704, 668, 71, 25423, 83, 624, 18175, 74519, 91450, 276, 7276, 956, 84, 4878, 3089, 544, 3362, 355, 1489, 2391, 709, 11, 595, 10523, 65501, 92610, 3145, 11595, 320, 674, 1126, 17958, 34749, 33328, 54377, 6538, 730, 76431, 4368, 58009, 69, 2832, 66897, 1174, 303, 288, 23388, 89, 529, 19349, 67594, 701, 2030, 52287, 3089, 1370, 1268, 140299, 19767, 3371, 5540, 12385, 2746, 37423, 20542, 13, 8495, 70251, 396, 304, 2694, 97504, 650, 89, 355, 36772, 71, 25423, 408, 6395, 19349, 11, 19104, 24929, 10489, 65, 84384, 13920, 9911, 12304, 11, 64289, 9911, 9089, 2739, 11567, 12755, 11, 4622, 261, 41210, 5451, 77016, 336, 9421, 2429, 2656, 268, 49753, 13, 11401, 66360, 51873, 9911, 9089, 7219, 17058, 9965, 7276, 2479, 19625, 388, 309, 1014, 2185, 12385, 17058, 47944, 6222, 19099, 1280, 11250, 15938, 13, 36574, 22075, 9089, 2746, 74519, 91450, 96115, 54459, 2739, 11567, 12755, 8896, 11, 27298, 1531, 48803, 49192, 19358, 18520, 13, 8495, 15719, 18520, 485, 33312, 20512, 331, 11595, 76120, 7964, 11, 19104, 9911, 14821, 25531, 5451, 52716, 1374, 7276, 265, 22157, 387, 24716, 1241, 295, 19349, 11, 2030, 9911, 12643, 11316, 38805, 13785, 9911, 51721, 28129, 42789, 13, 43997, 2694, 51310, 51528, 11, 14821, 9911, 289, 15113, 90556, 11, 76171, 572 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1494, 17029, 13, 38472, 1839, 29937, 39449, 834, 17917, 53797, 11, 10928, 7906, 52662, 49662, 939, 2656, 268, 49753, 288, 6395, 19349, 11, 572, 9820, 6454, 1952, 71, 2660, 30512, 65, 84384, 331, 2185, 7180, 15462, 595, 2382, 648, 266, 1524, 268, 21491, 65, 10573, 261, 19349, 15719, 624, 53750, 323, 12917, 88049, 2986, 28324, 11, 63165, 9400, 68, 12385, 28514, 424, 11, 14821, 1079, 282, 21519, 343, 15795, 19349, 11, 5451, 36744, 50750, 15314, 6395, 87943, 449, 16030, 13, 36574, 2746, 85711, 22163, 4370, 9089, 7180, 3371, 259, 4738, 268, 64477, 89289, 2694, 74519, 91450, 96115, 10712, 6395, 71935, 2714, 896, 23129, 11, 2030, 28514, 424, 14821, 5436, 44977, 11, 9911, 592, 78881, 91967, 6395, 37896, 13, 9236, 15719, 19349, 11, 14948, 36748, 11, 24440, 479, 19981, 2986, 28324, 11, 2746, 28822, 38934, 7219, 135972, 60729, 13, 1967, 436, 467, 13977, 2660, 2030, 133661, 89, 2391, 70, 50499, 14821, 2746, 773, 59380, 26956, 355, 5342, 74519, 91450, 7276, 956, 84, 282, 52340, 258, 16030, 11, 66983, 9911, 52716, 8372, 17739, 84579, 27418, 71168, 2030, 264, 13920, 295, 624, 43, 27277, 8495, 6975, 36108, 6538, 1527, 42477, 458, 72734, 58158, 13, 12741, 74519, 91450, 5999, 12788, 20096, 288, 73794, 73, 13884, 11, 2030, 1531, 68573, 4368, 91265, 11, 8725, 77868, 359, 2636, 5676, 13, 18069, 30058, 261, 2030, 4368, 1230, 138644, 7272, 11, 31008, 29860, 5999, 1850, 265, 12755, 11, 2746, 44966, 6395, 17443, 293, 433, 17392, 44340, 7180, 2746, 14410, 309, 665, 23276, 331, 22385, 6395, 37896, 13, 23980, 261, 6662, 815, 325, 38453, 20175, 4878, 28789, 48158, 12475, 25651, 5451, 2429, 29860, 39771, 13785, 86, 41203, 343, 408, 54395, 1528, 16676, 11, 19104, 2714, 5999, 55813, 4368, 9316, 645, 11, 22075, 1531, 4443, 64477, 89289, 2030, 38383, 13804, 268, 39264, 624, 22171, 74519, 91450, 5251, 46745, 5999, 10928, 2714, 33339, 16053, 2030, 6238, 613, 2030, 4446, 83, 2714, 20491, 359, 20005, 2030, 595, 86366, 89452, 11595, 305, 648, 269, 11, 2746, 12304, 53797, 1850, 318, 2501, 12583, 11, 2746, 44966, 12385, 1147, 10110, 4979, 38897, 53555, 468, 60273, 74565, 6395, 2739, 57396, 77, 13, 1333, 6712, 5840, 41658, 11, 3738, 275, 13977, 2030, 11129, 13977, 11, 5999, 4368, 3582, 32708, 74519, 91450, 5251, 1020, 4622, 261, 41210, 4368, 69987, 650, 39537, 7459, 613, 11, 5451, 17443, 14101, 1387, 939, 71467, 19358, 1960, 467, 79748, 9254, 13785, 40662, 13, 43997, 3845, 7219, 38897, 505, 37137, 5963, 7522, 80378, 42678, 3103, 89249, 13906, 61286, 41538, 77528, 11, 12643, 9911, 7219, 5419, 289, 70487, 11, 2030, 47553, 289, 864, 3845, 28853, 13279, 59228, 773, 59380, 268, 46793, 268, 26252, 3903, 268, 624, 42074, 65836, 15462, 74519, 91450, 8793, 48376, 1440, 5679, 481, 2714, 5699, 14033, 11687, 38897, 7577, 72, 22385, 13785, 35951, 13, 28379, 58442, 7577, 72, 22385, 12385, 77327, 58442, 3371, 58583, 0, 71474, 79192, 11, 2714, 5999, 4368, 74519, 91450, 11, 2694, 1032, 23129, 10246, 12755, 11, 38897, 33328, 11567, 1371, 12643, 20004, 1489, 2391, 709, 6395, 650, 37285, 2956, 24134, 21673, 11, 505, 354, 17739, 2030, 668, 709, 1937, 33370, 7107, 12543, 2185, 6860, 268, 19349, 11, 8793, 2746, 22539, 22157, 268, 61921, 2305, 17739, 66723, 471, 6433, 56795, 1440, 12385, 29618, 5197, 69, 15113, 2576, 331, 333, 2945, 3591, 11, 2746, 12304, 38684, 773, 25494, 22163, 4370, 13, 9740, 5999, 4368, 58534, 61286, 2015, 304, 55928, 472, 1330, 4865, 11, 48803, 1527, 71, 61673, 13, 86417, 12304, 74519, 615, 14456, 10246, 7964, 1032, 23129, 11, 19104, 38897, 23388, 72995, 8966, 5999, 650, 37285, 2956, 24134, 6772, 2030, 595, 1222, 344, 13, 9740, 5999, 773, 5436, 17029, 304, 3371, 467, 19981, 2694, 44966, 11, 14948, 3845, 2770, 43506, 267, 11, 14948, 2714, 304, 2694, 137900, 4116, 624, 45, 4865, 82, 458, 36744, 29860, 5999, 16540, 627, 380, 16053, 11, 6538, 53936, 22443, 261, 15422, 6395, 59228, 13225, 7253, 365, 58193, 6395, 72440, 65314, 267, 321, 13, 2363, 331, 14649, 73928, 77, 2305, 377, 343, 2030, 357, 324, 11, 5999, 2694, 73794, 140463, 1389, 4368, 18859, 288, 9919, 28324, 11, 2030, 2694, 74519, 91450, 17562, 14821, 35951, 19767, 21062, 45258, 11, 572, 2714, 14840, 6395, 72440, 25180, 268, 51292, 3161, 406, 13, 151643, 19462, 77, 36956, 2185, 760, 20404, 4865, 3563, 300, 440, 481, 5755, 220, 20, 198, 11395, 2090, 61221, 37108, 4059, 1579, 139349, 22385, 7405, 5239, 83234, 15897, 4757, 13143, 42068, 4757, 198, 80515, 47404, 97096, 29505, 4003, 268, 2030, 502, 11595, 386, 28658, 4160, 48842, 13785, 16377, 268, 2030, 16377, 138154, 2185, 17312, 90769, 11, 4443, 3371, 16377, 2468, 6395, 76120, 4865, 932, 2030, 3371, 794, 15252, 8400, 70, 8688, 1626, 380, 343, 6395, 40500, 6498, 932, 13, 1758, 1110, 2136, 1236, 483, 12, 2571, 61614, 2285, 14, 20, 20, 62, 46528, 54988, 2185, 2564, 198, 20, 8543, 68, 9740, 77, 36956, 2185, 384, 5058, 13, 760, 220, 20, 8543, 68, 9740, 77, 36956, 2185, 384, 5058, 13, 304, 63630, 2125, 268, 13, 41663, 79985, 2185, 6538, 576, 29203, 2030, 2340, 7184, 2694, 9740, 77, 36956, 2185, 14047, 3371, 434, 16074, 69, 8543, 268, 624, 91, 220, 20, 8543, 68, 9740, 77, 36956, 2185, 384, 5058, 13, 304, 63630, 2125, 268, 13, 41663, 79985, 2185, 6538, 576, 29203, 2030, 2340, 7184, 2694, 9740, 77, 36956, 2185, 14047, 3371, 434, 16074, 69, 8543, 268, 13, 1758, 1110, 2136, 833, 10316, 69, 28452, 68, 12, 46528, 54988, 2185, 90245, 2285, 5894, 2304, 4865, 668, 37060, 5451, 29149, 261, 9740, 77, 36956, 2185, 760, 89913, 2145, 9740, 77, 36956, 2185, 198, 54370, 29149, 261, 9740, 77, 36956, 2185, 2030, 5451, 39771, 18207, 5999, 1531, 50837, 11, 71935, 2030, 14047, 39416, 343, 668, 89, 359, 2636, 5676, 13, 1758, 1110, 2136, 13, 586, 29428, 16776, 905, 17763, 79, 28, 24, 21, 16, 198, 19462, 77, 36956, 2185, 760, 9812, 63555, 20404, 1241, 22385, 778, 1017, 198, 18175, 2926, 13, 73580, 12640, 54271, 79956, 68, 31477, 609, 3539, 13, 70087, 80129, 3818, 41488, 18520, 10712, 220, 17, 15, 45506, 54271, 79956, 74, 2855, 2554, 268, 7180, 98376, 12, 2030, 51743, 826, 288, 1241, 22385, 11, 29505, 14052, 20542, 11, 30512, 7725, 365, 4865, 11, 15098, 2375, 365, 4865, 11, 30585, 2030, 18207, 937, 16111, 12583, 35783, 31313, 7180, 20404, 1241, 22385, 11, 50943, 73607, 36614 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2030, 1967, 83214, 17246, 21519, 50499, 13, 1758, 1110, 2136, 1734, 1754, 613, 2285, 14, 46528, 54988, 2185, 2564, 198, 14873, 268, 6395, 17058, 14410, 22157, 9740, 77, 36956, 2185, 14047, 2694, 422, 10777, 13, 1758, 1110, 2136, 13, 46528, 54988, 28122, 10393, 12646, 14012, 2301, 2285, 14, 4188, 28865, 14, 46528, 54988, 2185, 2564, 198, 19462, 77, 36956, 2185, 1242, 54377, 1365, 294, 27097, 71, 2577, 665, 6250, 57396, 2185, 2694, 42678, 3103, 89249, 198, 19462, 77, 36956, 2185, 1242, 54377, 81831, 295, 11, 66653, 6395, 94655, 11, 9089, 66653, 6395, 91929, 21519, 1440, 10712, 96042, 13, 42616, 11, 6616, 75315, 9089, 732, 4929, 66075, 2694, 28831, 13, 8408, 29873, 1690, 2694, 3680, 25402, 1011, 331, 1111, 13, 1758, 1110, 2136, 950, 645, 38030, 25402, 1011, 331, 1111, 2285, 14, 46528, 54988, 2185, 14, 46528, 54988, 28122, 12, 372, 54377, 2564, 198, 44, 2305, 810, 9740, 77, 36956, 2185, 11331, 355, 9740, 77, 36956, 2185, 198, 74909, 75315, 883, 48842, 6395, 88687, 386, 2305, 810, 1644, 1960, 11, 1640, 9433, 70439, 13452, 29307, 2305, 810, 39307, 41983, 91896, 56580, 2030, 41983, 386, 2305, 810, 77070, 1758, 1110, 2136, 50602, 3667, 2733, 2285, 14, 1728, 355, 2733, 14, 46528, 54988, 2185, 23284, 198, 19765, 9740, 77, 36956, 2185, 1365, 18069, 77742, 2694, 1581, 60135, 20404, 69701, 7180, 9740, 77, 36956, 2185, 384, 5058, 12832, 35, 10777, 8, 1758, 1110, 2136, 87340, 12, 46528, 54988, 2185, 2285, 5894, 79, 39, 30846, 760, 14662, 10559, 9740, 77, 36956, 2185, 760, 93403, 2305, 8801, 2185, 939, 730, 9416, 31290, 198, 52491, 1902, 129076, 529, 30, 3240, 27918, 8495, 70836, 328, 2305, 552, 7671, 300, 268, 11278, 64, 1116, 3145, 26252, 1640, 479, 54371, 37285, 4865, 1365, 5451, 17058, 14410, 22157, 11, 8037, 7522, 9740, 77, 36956, 2185, 13, 47436, 6975, 95402, 8495, 13368, 0, 1758, 1110, 2136, 39078, 62737, 2285, 14, 151643, 53, 13845, 5679, 609, 21237, 285, 16030, 481, 17152, 362, 45699, 83126, 377, 423, 7053, 198, 1143, 1129, 268, 17312, 11002, 93590, 198, 48047, 85970, 6975, 10712, 730, 494, 843, 70, 290, 362, 45699, 54064, 732, 467, 7066, 81936, 40499, 2694, 17152, 268, 52354, 16030, 13, 422, 39129, 142037, 5841, 64321, 2576, 12536, 273, 730, 76431, 30386, 66362, 2030, 92283, 6566, 440, 624, 54370, 66482, 92283, 58864, 423, 61194, 3145, 11595, 11, 23388, 802, 268, 5679, 2030, 5547, 26770, 66238, 16111, 3371, 730, 76431, 28815, 21211, 2694, 17152, 18926, 24716, 645, 10991, 92918, 17312, 21237, 285, 36616, 624, 32, 13920, 619, 413, 5046, 68, 5547, 26770, 17312, 21237, 285, 36616, 6538, 730, 76431, 12, 2030, 730, 1222, 344, 21062, 2649, 19875, 481, 304, 362, 45699, 2030, 468, 454, 268, 4894, 6954, 89, 58864, 423, 61194, 3145, 11595, 7180, 730, 76431, 12, 2030, 730, 1222, 344, 21062, 2649, 10938, 39307, 87943, 1574, 730, 76431, 90527, 24803, 9, 34711, 304, 2694, 17152, 13, 151643, 12444, 2030, 26109, 70984, 97973, 2746, 595, 3571, 363, 36956, 2185, 25531, 2818, 65, 465, 2030, 16111, 13785, 896, 23129, 47827, 92579, 3376, 14124, 6032, 71, 758, 80260, 21673, 7377, 268, 6395, 1147, 58193, 16887, 17443, 82942, 2305, 377, 140463, 1389, 5451, 6502, 69, 3122, 27391, 7001, 17739, 35515, 1268, 343, 51707, 1365, 9421, 28852, 97682, 19767, 2746, 55486, 36616, 5999, 40870, 83630, 6772, 139554, 11, 10712, 1531, 883, 41658, 50837, 68573, 30094, 458, 65, 33254, 11, 2746, 330, 77, 2252, 9425, 8819, 1, 16034, 4139, 32175, 6331, 268, 624, 65835, 16111, 9911, 5388, 7253, 268, 2030, 773, 2746, 6366, 71211, 13, 467, 324, 5183, 25531, 220, 16, 15, 15, 7219, 1147, 48418, 11687, 77556, 7219, 32780, 1371, 582, 1064, 458, 5342, 40188, 13, 1527, 51290, 752, 380, 724, 10928, 18520, 485, 53308, 6395, 3624, 268, 13, 9236, 1308, 4979, 724, 220, 20, 78315, 4942, 26956, 529, 11595, 17630, 8793, 3893, 69046, 295, 20428, 47436, 68042, 2896, 74, 932, 2030, 1868, 12620, 14033, 5679, 63027, 9964, 72, 613, 50837, 13, 14356, 92579, 16034, 28605, 220, 15, 13, 8907, 2391, 14553, 34966, 2185, 2694, 16829, 6395, 10207, 2391, 14553, 4865, 6433, 13, 608, 389, 301, 1612, 1365, 4937, 220, 17, 502, 1466, 265, 80129, 75, 28122, 29413, 11, 2030, 25494, 4443, 42477, 40334, 13, 12354, 374, 8433, 311, 3538, 13, 60082, 91440, 17630, 16111, 56381, 305, 1847, 77, 11595, 7180, 49672, 7160, 13, 51310, 23911, 1455, 62118, 2030, 15462, 70984, 21062, 75, 1854, 15365, 362, 8356, 4379, 9289, 311, 86037, 13, 1345, 4079, 342, 4671, 268, 22539, 6130, 18859, 58158, 12643, 13, 61197, 2694, 264, 16, 7963, 22097, 11, 22539, 36956, 273, 380, 295, 13, 5906, 998, 11772, 10246, 304, 279, 1850, 13, 1345, 4079, 93615, 2030, 384, 4079, 21673, 855, 285, 0, 2256, 2030, 63162, 1909, 13, 13127, 11673, 3162, 35740, 92501, 143037, 3371, 13422, 278, 1648, 17873, 13, 467, 324, 5183, 2746, 8151, 610, 69, 79985, 2185, 2030, 87791, 220, 15, 11, 20, 52434, 68336, 2863, 723, 624, 23619, 489, 2391, 3821, 932, 9820, 62002, 3647, 4865, 799, 77131, 2185, 8793, 9421, 11, 19104, 6616, 4179, 89, 58864, 7219, 47631, 3714, 63172, 274, 59, 993, 19392, 1565, 1016, 59, 650, 66494, 347, 1565, 77, 55214, 477, 12508, 409, 4797, 58267, 25437, 332, 59, 17299, 1187, 76898, 685, 4586, 59, 438, 454, 956, 502, 509, 31648, 1527, 28439, 8660, 315, 1246, 17873, 320, 437, 1008, 43974, 8, 14268, 54548, 6616, 2694, 1274, 4101, 7219, 26083, 32030, 3091, 267, 3845, 72701, 607, 3605, 43297, 7219, 81936, 21176, 65836, 624, 22171, 2656, 268, 91245, 268, 384, 60273, 939, 32857, 11, 4443, 26429, 87969, 2391, 6395, 63318, 12495, 65132, 4953, 2746, 3647, 424, 817, 384, 11468, 25, 26769, 2400, 72, 408, 11595, 74453, 9911, 71017, 83034, 277, 3637, 11544, 16887, 289, 865, 3818, 2746, 88628, 11595, 143437, 7377, 9179, 49662, 6538, 220, 16, 15, 1365, 220, 16, 18, 2030, 220, 17, 15, 35758, 1960, 220, 20, 15, 2220, 45699, 939, 88748, 20175, 288, 29695, 437, 3818, 12643, 624, 46, 1107, 4772, 268, 91440, 3091, 267, 11, 12583, 9911, 304, 220, 17, 33570, 2752, 7219, 455, 68, 2963, 20004, 37285, 83049, 8896, 11, 35141, 1531, 9089, 28789, 2694, 29413, 6433, 357, 441, 1726, 285, 6538, 220, 15, 11, 17, 8372, 458, 25006, 1528, 17944, 3845, 87862, 476, 24307, 77919, 15269, 49494, 5016, 263, 4368, 348, 16568, 321 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21982, 22316, 47827, 2746, 84301, 13229, 13820, 2319, 13305, 416, 32857, 18859, 48414, 85970, 624, 55, 75, 10351, 15120, 17606, 1565, 1307, 265, 359, 59, 6871, 650, 19547, 68886, 409, 3745, 68, 1527, 9820, 2818, 65, 7256, 62174, 5436, 54081, 65132, 4953, 35951, 17859, 11, 52507, 10638, 82207, 883, 15719, 9089, 2746, 537, 36616, 1147, 48418, 11687, 7219, 6616, 595, 9935, 939, 595, 22157, 458, 320, 89, 35783, 8652, 6616, 83880, 5999, 92579, 3376, 14124, 6032, 71, 624, 78522, 1268, 7180, 72701, 38574, 273, 51327, 52764, 82017, 11, 4443, 34234, 6395, 2714, 6566, 7964, 31645, 264, 6366, 21828, 264, 2504, 15098, 268, 7219, 2694, 45885, 65, 3454, 632, 17873, 468, 8719, 61897, 37633, 1531, 3318, 32997, 932, 11, 11673, 2220, 21519, 343, 51707, 6538, 11773, 2714, 6566, 7964, 11, 4443, 732, 5699, 4659, 76, 15795, 282, 5054, 2030, 9089, 139906, 1424, 3818, 624, 15220, 8768, 380, 374, 279, 501, 6623, 9149, 14975, 916, 803, 1091, 220, 24, 15, 817, 2889, 304, 81910, 84093, 380, 16053, 17837, 97682, 1599, 0, 508, 1732, 1076, 60, 9421, 799, 27431, 5999, 6616, 2746, 3594, 440, 6538, 220, 16, 1752, 17873, 274, 897, 1035, 387, 38313, 311, 86776, 279, 16953, 96681, 304, 14410, 649, 2305, 7522, 12385, 304, 69659, 6395, 357, 3262, 17454, 12385, 7219, 89, 392, 365, 21176, 71915, 25, 83910, 4810, 88519, 17, 87, 3669, 220, 16, 23, 481, 7219, 54377, 2030, 18003, 25, 2746, 28822, 38434, 7180, 84522, 2030, 13785, 49672, 4489, 73910, 1268, 261, 17630, 15462, 67703, 293, 11706, 4443, 46668, 220, 16, 86037, 284, 220, 16, 22, 22, 15, 24, 467, 36956, 11595, 3647, 65845, 88287, 66316, 10638, 1615, 266, 6772, 15462, 77414, 74565, 55448, 21506, 25402, 76, 11595, 11, 2746, 9089, 67952, 595, 2863, 723, 624, 50, 1777, 63940, 4593, 19104, 13368, 10928, 94572, 94788, 811, 289, 36956, 2185, 2154, 73609, 6395, 2714, 5205, 268, 65010, 285, 20175, 5451, 17239, 59372, 2739, 71, 29802, 1517, 285, 11, 294, 71915, 14665, 6089, 3950, 3669, 8408, 326, 19358, 68, 304, 3371, 52967, 10928, 304, 2694, 1217, 301, 7219, 93434, 2694, 678, 64649, 16676, 25620, 2305, 44444, 2721, 287, 11595, 320, 55632, 600, 8, 84132, 7522, 4223, 25061, 22539, 34711, 10928, 4368, 69987, 1353, 276, 624, 19462, 6566, 7964, 12385, 304, 3371, 37801, 524, 33370, 69791, 4772, 268, 467, 11706, 26252, 2770, 14033, 1960, 11, 20048, 458, 273, 1389, 817, 272, 6902, 5999, 9824, 1579, 460, 28064, 2030, 5763, 579, 1536, 19000, 3078, 263, 635, 32505, 312, 2125, 295, 5006, 81591, 668, 8495, 67382, 41852, 30875, 343, 11595, 2030, 2739, 359, 265, 258, 343, 11595, 2694, 50706, 624, 28684, 17790, 4368, 7272, 1728, 26824, 66723, 11, 22539, 93232, 668, 72101, 265, 55339, 82745, 267, 17790, 25531, 6395, 28605, 64560, 79956, 458, 139376, 6772, 17058, 1274, 44914, 21673, 282, 1466, 3342, 5451, 17443, 28620, 3630, 83598, 2746, 26956, 791, 28122, 36702, 2185, 12643, 19000, 41919, 2694, 9979, 7070, 63473, 8398, 11, 4443, 11211, 6395, 51134, 12385, 2739, 4554, 28421, 624, 43844, 29609, 49503, 17312, 9421, 46014, 82, 83301, 330, 45702, 68312, 17029, 2746, 4368, 46728, 2185, 817, 6073, 48985, 73869, 2185, 11, 76720, 1842, 272, 1404, 64, 7209, 7627, 389, 59366, 11673, 0, 435, 8339, 12203, 22, 82, 22075, 9911, 4582, 16030, 85970, 2030, 2816, 2085, 9774, 75562, 12646, 263, 74, 951, 268, 435, 32709, 17907, 220, 20, 23, 22, 15, 4116, 3739, 1127, 25861, 1850, 318, 2501, 48803, 66723, 423, 8579, 798, 9544, 25, 458, 52151, 13029, 3433, 27726, 10638, 19104, 7219, 41983, 59437, 2305, 71723, 2499, 2660, 2694, 17672, 8684, 624, 19957, 60021, 7553, 17029, 2030, 17760, 2574, 9820, 59801, 2956, 55499, 4601, 804, 7698, 7219, 896, 380, 13, 358, 13242, 1365, 31734, 5771, 53231, 304, 279, 4004, 315, 279, 1879, 13, 52876, 6291, 13089, 20527, 419, 2041, 894, 9162, 13, 1205, 321, 9911, 220, 17, 19, 71, 856, 220, 22, 67, 2746, 23738, 1528, 13785, 12743, 645, 4370, 13, 42161, 304, 17058, 67519, 21673, 27599, 5197, 603, 13, 3197, 12094, 911, 17944, 323, 4344, 279, 906, 691, 8527, 13, 5016, 28658, 11687, 3371, 68336, 129076, 802, 6051, 17029, 11, 14948, 9911, 12222, 7219, 17443, 1013, 7733, 268, 1868, 12620, 20175, 13, 3089, 9151, 9911, 14840, 6395, 220, 20, 15, 15, 12984, 548, 66897, 645, 7180, 9820, 650, 2986, 6623, 13, 59490, 304, 3371, 66968, 7578, 89, 624, 83910, 14409, 32488, 17873, 36408, 15113, 28122, 652, 4865, 17873, 2714, 77131, 2185, 35323, 17873, 5175, 817, 2086, 29952, 17873, 5175, 312, 85577, 17873, 304, 92516, 5777, 17873, 304, 67793, 9421, 89, 58193, 17873, 1868, 12620, 20175, 29695, 473, 83, 17873, 11673, 29952, 24538, 17873, 11673, 37896, 17873, 11673, 8016, 480, 17873, 67793, 4559, 17873, 13312, 582, 14398, 365, 269, 30353, 17873, 4087, 8801, 261, 77131, 2185, 17873, 88628, 2185, 8793, 1850, 14033, 17917, 17873, 88628, 2185, 2739, 8400, 4370, 57002, 34368, 15671, 57002, 855, 285, 220, 17, 15, 15, 24, 2699, 34537, 36408, 74374, 293, 1442, 37539, 906, 23268, 151643, 12992, 5016, 27105, 7997, 21062, 332, 23815, 23162, 198, 30124, 27105, 7997, 21062, 332, 23815, 23162, 1365, 2009, 1049, 5016, 32997, 28789, 5016, 27105, 26824, 198, 32617, 5016, 27105, 26824, 5999, 4368, 647, 1775, 524, 11, 2694, 47143, 41488, 18520, 17392, 37419, 71, 1241, 50958, 3000, 17029, 2030, 13906, 60297, 304, 2694, 6481, 268, 17210, 461, 365, 3818, 15462, 305, 26440, 794, 15671, 54594, 9057, 11042, 83, 13, 468, 6308, 6538, 8536, 65078, 96373, 11, 50232, 1440, 48614, 4892, 25392, 26769, 57803, 548, 2305, 89, 1064, 9421, 13, 78021, 8793, 25531, 15719, 6616, 5016, 27105, 26824, 6538, 2694, 19868, 87895, 13785, 16687, 5676, 12643, 11, 13368, 387, 285, 2493, 2010, 41210, 28789, 67775, 4223, 24343, 2863, 11, 23738, 2746, 794, 16722, 140463, 1389, 296, 632, 258, 8199, 47708, 27105, 7997, 83, 12643, 47827, 13, 55448, 13279, 2694, 40987, 81, 423, 1937, 2185, 35141, 17790, 25531, 2694, 23276, 331, 10613, 624, 39726, 27313, 81331, 12583, 72170, 6616, 88937, 65, 538, 46745, 27105, 26824, 2030, 6616, 9460, 538, 46745, 27105, 26824, 5451, 17058, 20854, 1489, 309, 2660, 13, 47436, 69791, 6730, 268, 5999, 74303, 87818, 23089, 307, 2185, 42068, 37633, 11, 51939, 66796, 69, 36956, 6772, 5999, 6616, 5016, 27105, 26824, 8793, 13, 33328, 60297, 2746, 4928, 268, 20048, 35515, 485, 5016, 2305, 5183, 19767, 6616, 5876, 2816 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 65501, 88937, 74565, 376, 8535, 13, 75291, 261, 12583, 2341, 8345, 6712, 74303, 87818, 6072, 2305, 799, 308, 44226, 343, 11, 2746, 10928, 304, 15806, 5676, 2739, 59908, 295, 19349, 20048, 13, 32521, 2574, 8896, 2694, 5016, 27105, 52662, 97144, 472, 90360, 83423, 2030, 15719, 9089, 773, 70336, 7219, 38897, 57803, 16540, 37137, 7253, 268, 624, 65835, 13279, 3371, 5016, 27105, 7997, 21062, 32997, 82, 3048, 932, 17630, 2746, 74303, 87818, 6072, 2305, 799, 32780, 7964, 20317, 268, 13, 758, 2694, 97504, 5999, 7180, 2746, 8280, 2305, 799, 2746, 20317, 5190, 220, 16, 21, 24, 65733, 13, 54068, 1217, 3818, 2746, 12339, 10561, 13256, 2694, 8280, 2305, 799, 11, 58319, 1531, 6538, 220, 17, 14840, 220, 16, 21, 27298, 13, 8280, 2305, 799, 2694, 27941, 13256, 220, 17, 14840, 220, 23, 12583, 13279, 2429, 9460, 538, 46745, 27105, 26824, 42068, 37633, 13, 2823, 318, 88937, 65, 538, 46745, 27105, 26824, 47827, 8280, 2305, 799, 668, 2694, 27941, 13256, 220, 23, 74191, 12643, 11, 2994, 6616, 88937, 97168, 44275, 24245, 1524, 5999, 10712, 13279, 2694, 20854, 1489, 309, 2660, 13, 55448, 2746, 20317, 268, 5190, 220, 16, 22, 15, 2030, 5190, 220, 16, 22, 16, 12583, 4845, 68, 6128, 309, 11, 2994, 8495, 2746, 12339, 54422, 268, 7180, 29036, 12, 2030, 758, 1626, 277, 354, 495, 16722, 2185, 7465, 16030, 13, 151643, 20903, 8801, 261, 77131, 2185, 730, 3571, 363, 36956, 2185, 1527, 55754, 760, 730, 3571, 363, 36956, 2185, 4116, 372, 30, 481, 28008, 15623, 68156, 198, 18175, 82745, 2185, 3563, 95283, 12583, 7219, 2429, 3457, 3591, 98317, 84911, 25423, 6772, 2030, 12643, 12412, 10928, 29695, 437, 3818, 11, 26769, 14047, 89005, 502, 798, 42885, 12, 28256, 37369, 83380, 65, 51865, 13, 36574, 384, 4079, 6772, 11, 23738, 595, 2863, 723, 883, 17873, 1079, 342, 59391, 343, 15795, 41762, 42469, 11806, 65, 7256, 5166, 2030, 1205, 1064, 13, 425, 24387, 84522, 3887, 12412, 15719, 883, 220, 20, 15, 4, 511, 1543, 730, 3571, 1961, 7019, 1368, 259, 14033, 6433, 11, 220, 24, 42786, 8793, 81825, 462, 379, 6027, 300, 467, 13820, 26956, 21176, 2030, 97341, 1117, 275, 343, 37228, 258, 1489, 42961, 13, 6569, 482, 328, 6670, 11, 1147, 3101, 60730, 17246, 21519, 343, 1463, 333, 449, 16030, 13, 67725, 72, 16254, 23738, 51134, 5699, 83090, 5999, 67058, 8725, 647, 6215, 355, 746, 38132, 67952, 11, 16034, 38684, 12583, 55248, 97973, 2746, 17312, 90769, 357, 2636, 19875, 142407, 91184, 14410, 53929, 13, 45481, 2746, 467, 36956, 2185, 8151, 4865, 11, 23738, 595, 2863, 723, 883, 17873, 1079, 342, 59391, 343, 15795, 9911, 9089, 75130, 56945, 458, 375, 22837, 13, 27258, 595, 2863, 723, 883, 17873, 1079, 342, 59391, 343, 15795, 35951, 32936, 6395, 2755, 51898, 268, 11, 773, 50926, 2739, 276, 14493, 267, 12643, 13, 9236, 41852, 265, 20319, 6616, 38650, 35505, 458, 12748, 680, 268, 90039, 60939, 129579, 46014, 82, 11, 23738, 15719, 883, 54548, 17873, 51134, 14948, 25531, 5451, 51292, 939, 8536, 301, 267, 1134, 2746, 12380, 25620, 76166, 14821, 624, 75919, 17058, 27265, 5679, 9740, 8452, 28122, 25141, 41530, 3818, 2714, 28095, 41488, 40462, 69713, 4443, 220, 16, 15, 13, 15, 15, 15, 42364, 11, 773, 12643, 53797, 56505, 622, 7714, 35380, 29167, 695, 295, 13, 12741, 13127, 738, 11687, 9089, 41488, 220, 17, 15, 17, 16, 10712, 17324, 54749, 65161, 1527, 55754, 10561, 13256, 17312, 422, 1945, 48672, 367, 19767, 11, 4087, 8801, 261, 77131, 2185, 595, 3571, 363, 36956, 2185, 458, 55754, 4443, 92979, 2030, 4443, 11002, 21062, 54913, 39264, 13, 350, 1862, 31573, 6772, 2739, 75323, 723, 2746, 3184, 360, 36616, 3371, 8547, 268, 6395, 17443, 11321, 83, 21673, 467, 7066, 81936, 261, 1279, 85, 16568, 321, 11, 24929, 5999, 730, 1222, 344, 36614, 27684, 4101, 83, 13, 79808, 5999, 17058, 2694, 74539, 1960, 8536, 2010, 142454, 7180, 730, 3571, 363, 36956, 11595, 11, 66809, 13, 444, 2717, 48842, 20048, 13279, 3216, 4489, 14840, 6395, 220, 16, 15, 15, 13, 15, 15, 15, 4058, 67726, 268, 462, 49241, 28865, 65078, 96373, 12643, 11, 35141, 77748, 73411, 304, 1527, 54708, 2725, 17029, 12643, 13, 55448, 13279, 6250, 74, 2305, 28421, 20048, 61550, 5765, 7160, 7139, 44336, 21558, 1440, 1197, 267, 40697, 11, 14948, 24927, 12066, 38897, 94092, 7219, 2429, 136142, 71865, 939, 4968, 4909, 668, 6969, 78, 26824, 8896, 13, 8408, 38650, 41137, 11595, 12643, 732, 1187, 1704, 19875, 1298, 89, 433, 668, 54727, 19985, 295, 2030, 14047, 709, 35505, 11, 4389, 65934, 2030, 25631, 18961, 295, 70251, 16676, 8793, 13785, 37400, 83, 6538, 13127, 2030, 3539, 13, 8408, 4184, 266, 2071, 85651, 11595, 15719, 10638, 8793, 14047, 85, 965, 13536, 12032, 11, 2746, 5451, 71017, 435, 15596, 268, 25714, 267, 35010, 7180, 434, 2798, 265, 14410, 82751, 17630, 13, 8408, 55248, 9443, 85953, 13409, 1859, 17958, 11595, 2030, 2746, 6538, 40402, 1111, 94505, 72101, 1960, 73787, 14668, 17630, 41983, 77775, 1330, 309, 51707, 11, 22075, 61197, 12385, 10928, 14612, 9416, 5183, 15462, 13093, 59226, 458, 14102, 285, 36616, 88766, 40193, 13, 8408, 18372, 7070, 2746, 47143, 304, 2746, 38383, 467, 36956, 2185, 2725, 17029, 17630, 11, 5999, 2823, 331, 11239, 17312, 794, 6712, 2030, 143037, 624, 35, 395, 7001, 37369, 97168, 44275, 53797, 387, 21561, 2305, 5178, 11, 289, 4288, 278, 65, 2746, 94678, 627, 29737, 15357, 9089, 37146, 7219, 386, 3891, 1126, 24134, 11595, 16540, 37137, 461, 529, 8896, 13, 8408, 1298, 4905, 960, 6538, 26233, 6953, 4489, 47368, 23502, 27298, 1081, 2391, 4873, 88937, 7180, 4368, 32250, 2030, 2714, 35608, 295, 8688, 1626, 380, 343, 15462, 730, 1723, 25655, 86, 86873, 11, 4368, 1422, 84251, 50095, 23276, 331, 6395, 19349, 13, 23334, 34749, 20404, 4865, 82, 627, 6395, 2739, 57396, 77, 11, 595, 3571, 363, 36956, 2185, 58319, 10928, 22075, 2714, 38897, 57803, 25494, 91929, 267, 45692, 2501, 13, 13127, 1191, 7714, 732, 37419, 220, 17, 15, 15, 24, 5451, 17443, 5876, 294, 1915, 483, 77399, 28223, 645, 10393, 11, 9740, 40334, 2257, 26612, 13, 55448, 22075, 1531, 9089, 8793, 4443, 9820, 34734, 306, 20005, 1845, 1424, 3818, 11, 44336, 21558, 1440, 2030, 74303, 22385, 13, 96943, 64774, 665, 37080, 10928, 42722, 46621, 7180, 3371, 730, 9444, 6222, 1225, 10980, 2030, 10246, 7997, 142596, 18520, 485, 3184, 360, 1268, 28122, 423, 96922, 31287, 7253, 268, 11 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13368, 33946, 12385, 69707, 624, 38025, 610, 20048, 8495, 38472, 21491, 97463, 12, 19598, 6222, 20283, 273, 58237, 2030, 51239, 304, 2694, 22539, 90785, 1960, 77775, 1330, 20542, 2280, 36956, 2185, 668, 383, 7964, 11, 35141, 10638, 67952, 142596, 31247, 7253, 268, 13, 42616, 1032, 318, 437, 30632, 2714, 43183, 332, 529, 11, 27298, 1531, 10928, 2341, 90195, 19488, 485, 1527, 54708, 13368, 49096, 3591, 13, 3360, 8801, 261, 77131, 2185, 595, 3571, 363, 36956, 2185, 458, 55754, 2746, 304, 36744, 4818, 461, 417, 289, 1122, 10080, 42316, 268, 6250, 96922, 2030, 46416, 12643, 28883, 431, 2391, 14553, 4865, 7219, 2746, 57990, 55754, 5451, 455, 68, 2963, 11, 434, 49958, 12385, 15335, 27929, 3591, 13, 17288, 140729, 12643, 38383, 58166, 2030, 61776, 25620, 71378, 11, 22075, 2746, 6538, 43860, 22539, 90785, 665, 730, 1723, 74265, 2986, 55449, 4865, 14821, 13, 41663, 65224, 732, 5649, 12070, 325, 75278, 25, 28275, 73869, 11, 14410, 776, 7522, 13, 22338, 47436, 13127, 22338, 56946, 2956, 6498, 932, 2746, 730, 1723, 3371, 13127, 22318, 41658, 14047, 82816, 11, 6616, 36483, 384, 5137, 89730, 2030, 34368, 288, 31604, 467, 36964, 1197, 84884, 13, 22463, 1626, 380, 343, 14821, 9089, 12412, 8343, 2301, 17790, 4368, 51663, 11460, 11, 39264, 1531, 8099, 468, 287, 336, 84642, 25, 8408, 74857, 2694, 730, 3571, 363, 36956, 2185, 54383, 458, 13, 9740, 267, 24929, 68573, 2694, 58534, 7180, 6616, 2009, 2986, 410, 4953, 13279, 220, 19, 13, 19, 15, 15, 42364, 56505, 65, 4711, 11, 14948, 1531, 71935, 5999, 13, 44462, 1527, 265, 449, 27298, 1531, 67952, 1863, 1330, 268, 304, 3377, 834, 8801, 61776, 11, 13127, 5451, 99122, 5451, 11832, 16428, 1330, 4443, 25655, 79810, 17454, 26252, 8452, 268, 8495, 35323, 5016, 54913, 220, 19, 82816, 282, 41372, 8495, 9057, 275, 5679, 18520, 28831, 13, 9236, 14821, 43860, 9820, 73086, 2694, 2739, 30166, 9511, 9151, 61776, 2030, 9660, 32175, 96695, 11, 4443, 8408, 4058, 67726, 668, 89, 51078, 11567, 26824, 13, 38747, 95402, 8495, 11, 60637, 502, 798, 28275, 55632, 5999, 13, 4863, 21188, 17454, 8495, 2746, 434, 21519, 343, 51707, 939, 8536, 2010, 6538, 48158, 5016, 12153, 6395, 11845, 45061, 12153, 268, 28223, 3591, 11, 17066, 2746, 14409, 43026, 94572, 9383, 12385, 19104, 773, 35515, 1180, 83, 624, 7823, 1543, 467, 1038, 724, 14047, 11, 35141, 883, 13279, 595, 3571, 363, 36956, 11595, 4087, 84, 932, 1147, 58193, 12643, 8495, 2746, 57303, 1960, 12385, 2746, 3264, 76971, 13, 54068, 8031, 86, 36956, 2185, 27298, 1531, 95524, 28086, 139975, 11, 2746, 8495, 74675, 13, 25006, 1528, 730, 2542, 3591, 37896, 9421, 17058, 54092, 19104, 9820, 15770, 4311, 11, 85227, 94213, 6772, 8793, 77868, 896, 333, 17454, 13, 38747, 133238, 5999, 142596, 12222, 2746, 7416, 8229, 77420, 50095, 11, 2746, 9089, 55928, 1059, 29159, 88551, 15719, 13, 9774, 5840, 883, 60637, 458, 2746, 308, 44226, 6433, 33328, 81112, 11595, 11, 12583, 12304, 502, 336, 1127, 633, 137186, 1960, 4058, 67726, 268, 63318, 44275, 274, 4865, 2257, 2030, 20048, 49503, 423, 8400, 5178, 12643, 13, 49371, 73869, 11595, 20048, 71765, 220, 17, 14840, 220, 20, 71177, 91304, 6433, 11, 97696, 8495, 9089, 67382, 42150, 16053, 5451, 6975, 304, 6250, 90226, 624, 3727, 6772, 1083, 20048, 730, 59391, 1536, 25, 34711, 34749, 13550, 288, 2030, 479, 21835, 11, 304, 2429, 32175, 65, 20005, 12748, 23647, 5451, 71017, 1032, 4865, 372, 1724, 5679, 13, 758, 12442, 9034, 3377, 6616, 31665, 2174, 10928, 25531, 13906, 11567, 5178, 11, 17873, 16699, 47368, 10924, 19104, 9820, 91265, 87697, 4116, 406, 7355, 59522, 13, 25714, 53165, 14785, 12583, 9911, 14047, 13368, 13906, 18520, 40870, 41852, 56539, 17917, 11, 17873, 16699, 47368, 10924, 14948, 8725, 12222, 13906, 48985, 94873, 408, 5999, 13, 32886, 4368, 267, 35010, 6616, 773, 6785, 23334, 30102, 50926, 7180, 39265, 268, 4081, 28658, 11687, 12643, 11, 2746, 1531, 2429, 42786, 13, 14102, 86, 36956, 11595, 17837, 1960, 7180, 1527, 71, 61673, 10712, 330, 38, 783, 2694, 99122, 11, 19104, 572, 22589, 883, 11460, 13, 13127, 16699, 47368, 10924, 13279, 77012, 3393, 1079, 220, 16, 21, 13, 16, 17, 13, 17, 15, 16, 23, 21454, 2694, 730, 1723, 7180, 15462, 13127, 387, 285, 2493, 2010, 41210, 13279, 4443, 87027, 2125, 295, 220, 17, 13, 23, 24, 220, 16, 11, 21, 15, 19461, 11, 22075, 8725, 21982, 468, 10980, 78, 31500, 7019, 5930, 63051, 331, 1854, 10712, 537, 40231, 343, 2714, 15938, 295, 14821, 624, 21807, 3950, 36408, 65224, 6395, 3371, 28275, 665, 22837, 93096, 9820, 8793, 304, 50041, 434, 32251, 268, 22539, 36956, 273, 380, 7714, 1967, 380, 28122, 139523, 2694, 94678, 627, 11, 93328, 5699, 45258, 16111, 8641, 13, 45481, 35951, 2739, 69046, 6772, 37896, 2746, 2994, 364, 811, 89452, 2185, 11, 572, 40470, 268, 53797, 73689, 13, 91452, 732, 97268, 220, 18, 16, 15, 97528, 14668, 9299, 391, 1268, 6538, 2694, 49321, 12, 30172, 289, 12543, 3818, 1531, 6538, 17873, 13559, 572, 5999, 6616, 11, 86037, 11673, 2055, 13, 1599, 17771, 601, 8047, 1471, 20783, 327, 52287, 28831, 55879, 1531, 773, 17859, 13368, 79913, 61430, 6433, 92191, 1527, 8221, 1404, 11, 8495, 17630, 1083, 342, 81184, 13, 42616, 2746, 8105, 38822, 12115, 41663, 74374, 732, 3393, 9421, 13464, 268, 11, 14948, 2694, 13127, 12, 4703, 285, 4087, 17917, 2030, 4087, 17917, 2030, 4087, 17917, 2030, 64857, 28095, 5451, 274, 1762, 9300, 268, 472, 28421, 84732, 2429, 12442, 74, 19875, 1205, 90550, 81006, 58511, 13, 14235, 24440, 19104, 304, 384, 552, 76, 22840, 43506, 11937, 19104, 5451, 16034, 79192, 85466, 22996, 58193, 58285, 50900, 295, 11, 13368, 68312, 17029, 4368, 17873, 10928, 572, 3371, 7577, 551, 275, 61286, 713, 458, 9779, 524, 83, 13, 1599, 17771, 601, 8047, 1471, 20783, 327, 6538, 2694, 3354, 17739, 57562, 54459, 668, 70, 81184, 11, 2694, 730, 28865, 35141, 1757, 275, 732, 33328, 71, 482, 258, 79913, 6250, 52015, 5451, 17443, 40283, 35649, 794, 62014, 8221, 1404, 3647, 331, 11567, 26824, 13, 647, 24619, 52701, 9057, 16789, 15141, 2712, 2746, 4724, 5127, 519, 85725, 7219, 220, 16, 20, 12385, 220, 18, 15, 71177, 11, 14948, 81825, 25531, 18520, 289, 529, 12583, 624, 18175, 1230, 1579, 79870, 141377, 435, 2305, 372, 665, 21506, 33007, 268, 15462, 91265, 13279, 17058, 2014, 66685, 4188, 69701, 4368, 11, 58319, 595, 3571, 363, 36956, 11595, 2746, 17312, 1198 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1174, 89, 17033, 142037, 13, 12741, 6059, 376, 2228, 7671, 45985, 13785, 56751, 2501, 2746, 36866, 1055, 92182, 2030, 97096, 5419, 9820, 15723, 1574, 8536, 2010, 500, 1587, 627, 17312, 90769, 11, 9820, 342, 59391, 7256, 41109, 6395, 468, 10980, 78, 13, 2362, 48158, 69084, 278, 220, 17, 15, 16, 24, 595, 24774, 2746, 9270, 82901, 465, 13279, 80834, 2956, 11759, 6538, 220, 16, 16, 11, 21, 16, 386, 815, 11, 94505, 8495, 304, 4368, 730, 3571, 45926, 73, 17149, 2725, 16030, 13, 44602, 268, 1728, 285, 2030, 3184, 268, 12583, 48614, 512, 65, 408, 7256, 1863, 306, 1440, 2694, 14410, 309, 1960, 17152, 11, 6616, 61197, 21506, 2746, 18360, 375, 6395, 80617, 13, 12741, 730, 1723, 5999, 732, 350, 4738, 14840, 7219, 1148, 676, 220, 21, 13, 15, 15, 15, 42364, 27684, 57301, 11, 14948, 46668, 69342, 5876, 5214, 517, 2030, 60021, 2341, 90195, 19488, 5999, 13, 9236, 1424, 3818, 9089, 49536, 19104, 4443, 37357, 7256, 61776, 11, 74453, 9089, 61291, 95038, 732, 27941, 9151, 19349, 624, 38, 2963, 6616, 10928, 7180, 730, 9444, 57916, 273, 1389, 11, 17788, 16254, 92579, 47827, 8495, 304, 3371, 66968, 220, 16, 17, 3128, 13518, 63620, 1147, 26862, 6772, 59739, 23455, 42678, 93232, 69876, 17630, 13, 36574, 64289, 10638, 304, 30781, 17739, 12304, 96362, 1415, 29167, 956, 33827, 2030, 10928, 13785, 541, 9820, 6774, 440, 69028, 458, 63116, 3660, 77, 932, 27726, 11, 22589, 2714, 8547, 12, 2030, 5649, 12070, 69, 610, 273, 1070, 7180, 2746, 7219, 74, 19786, 10938, 44966, 939, 730, 9444, 7671, 1180, 819, 4946, 37896, 13, 19851, 385, 10246, 652, 79735, 11, 17788, 16254, 92579, 892, 686, 2138, 3847, 311, 6707, 13, 547, 39976, 11903, 70124, 11, 1343, 4495, 5451, 17873, 22996, 58193, 13368, 52434, 2694, 8151, 713, 86, 51817, 20005, 472, 519, 30005, 89131, 13, 2362, 2825, 42950, 20175, 12643, 26769, 19739, 13518, 6538, 67703, 8536, 2010, 500, 1587, 627, 268, 7219, 6969, 32863, 11, 773, 14948, 24440, 1079, 51292, 140527, 7180, 82, 4685, 268, 22996, 1466, 4832, 7060, 19285, 13, 35780, 5183, 12304, 15139, 15671, 31954, 265, 5840, 27684, 21558, 3342, 11, 1343, 4495, 5451, 17873, 22996, 58193, 17790, 4368, 7577, 579, 295, 4101, 624, 83953, 50435, 24209, 28064, 11595, 39264, 1531, 25531, 4443, 3371, 5016, 32997, 939, 65314, 11, 8781, 16254, 29952, 4443, 6616, 80072, 268, 37953, 6395, 357, 13977, 2712, 13, 468, 10413, 62803, 960, 26769, 60939, 56780, 68, 20048, 6538, 94885, 18372, 7070, 22665, 41658, 48376, 477, 32863, 12643, 11, 10638, 282, 90360, 6616, 23388, 54749, 13, 16354, 275, 5999, 4368, 53363, 23630, 11855, 3408, 713, 732, 45515, 273, 5840, 344, 11, 84522, 458, 48414, 4116, 372, 8793, 8641, 3371, 2712, 2030, 7219, 17058, 668, 4188, 79, 531, 268, 25570, 1952, 8641, 348, 79985, 54708, 13, 141196, 56500, 16111, 43860, 29873, 1690, 11, 57465, 300, 13368, 3371, 467, 49940, 67056, 2577, 6395, 97035, 21673, 13, 328, 11706, 276, 23446, 12307, 59380, 69, 49958, 12583, 304, 44979, 2746, 6538, 14898, 15671, 12748, 23647, 2746, 315, 13730, 1127, 94505, 72101, 665, 74857, 2030, 6616, 38383, 20404, 42189, 2714, 4260, 392, 83, 1531, 434, 49958, 1515, 351, 932, 28095, 11, 8781, 16254, 29952, 35141, 2694, 8031, 423, 81112, 15462, 25494, 4443, 47635, 21673, 58534, 80617, 13, 468, 10413, 62803, 960, 14840, 5205, 58065, 53797, 17790, 2694, 220, 20, 11, 20, 9838, 37137, 7256, 22138, 277, 64321, 2576, 89, 51078, 13363, 2030, 2746, 77556, 7256, 25527, 7522, 5342, 8801, 11, 13279, 2429, 93887, 9374, 2986, 13, 47436, 88687, 61197, 26109, 13785, 468, 5251, 6209, 5451, 27684, 2305, 4730, 331, 870, 22080, 1659, 5436, 32030, 11, 8781, 16254, 29952, 2590, 37035, 46954, 48985, 52015, 2185, 13446, 3591, 5342, 2030, 566, 318, 10559, 68987, 4711, 2986, 53383, 86, 404, 2712, 624, 35641, 11687, 77528, 3845, 12222, 17790, 1148, 676, 220, 21, 15, 49241, 22157, 74565, 82195, 406, 11, 10928, 304, 31355, 78, 78445, 306, 69936, 15719, 31357, 32936, 14102, 86, 36956, 2185, 13127, 6616, 73794, 312, 28324, 25, 21766, 2935, 2305, 1923, 303, 8220, 72, 8341, 81986, 17769, 4120, 25, 220, 22, 24835, 13, 467, 1020, 51528, 2694, 595, 9444, 29745, 28095, 27298, 1531, 15462, 9970, 355, 16034, 61150, 25832, 6538, 730, 3571, 363, 36956, 11595, 11, 24929, 52367, 2892, 8495, 330, 5830, 13, 9236, 8896, 9089, 10928, 10712, 1147, 26862, 6772, 54548, 66386, 93840, 11, 26769, 10882, 266, 3664, 14033, 9421, 89, 355, 275, 5679, 13, 4657, 9089, 46668, 32250, 140527, 775, 71, 406, 11, 5699, 83090, 5999, 2694, 13127, 732, 51309, 54371, 6395, 3371, 37801, 524, 33370, 45506, 83630, 6772, 732, 12343, 13, 16887, 4368, 17859, 261, 47227, 11, 51290, 10928, 15462, 31361, 268, 468, 29032, 1020, 15719, 9911, 24440, 24092, 308, 40193, 13, 23334, 26769, 67232, 6395, 387, 69046, 268, 11, 2746, 90080, 306, 6237, 265, 38486, 458, 2694, 15335, 27929, 645, 30636, 90930, 16030, 624, 50855, 20048, 2746, 36483, 82, 10928, 22823, 77919, 11, 2746, 8495, 773, 83835, 7219, 3371, 48158, 81287, 7364, 8793, 289, 15113, 37060, 13, 27258, 15719, 883, 13785, 541, 5451, 17873, 22996, 58193, 8725, 77509, 54459, 18520, 11, 66983, 2746, 20004, 46728, 2185, 12222, 18747, 68947, 3371, 67519, 21673, 647, 1087, 16789, 333, 1960, 668, 4188, 92473, 5999, 13, 8408, 133661, 12389, 12583, 47355, 17058, 3393, 55314, 383, 2694, 37330, 17739, 3184, 36616, 11, 387, 13536, 71, 28122, 41210, 7180, 2048, 1528, 9421, 2694, 54936, 14668, 83141, 383, 13, 3128, 2328, 4024, 264, 13920, 2185, 25, 467, 2603, 2746, 7577, 343, 1440, 2986, 6538, 220, 21, 15, 15, 19461, 10489, 1902, 331, 12153, 11, 6616, 9089, 9421, 2694, 422, 14320, 16597, 47226, 60939, 2030, 38124, 40696, 14012, 732, 13, 468, 766, 46646, 5342, 8801, 595, 3571, 363, 36956, 2185, 40157, 66653, 10712, 220, 17, 15, 16, 22, 11, 14948, 55928, 2694, 51239, 2739, 742, 529, 54548, 6772, 4184, 19488, 13785, 77, 25860, 2518, 268, 14821, 13, 5379, 50201, 42616, 8495, 4368, 1494, 1886, 468, 766, 46646, 5451, 730, 9444, 2714, 8345, 8398, 1365, 9820, 1527, 74462, 18241, 1527, 69, 4003, 11, 289, 2267, 287, 19981, 87040, 2746, 51239, 5451, 2429, 9460, 86379, 2228, 14906, 76, 6454, 477, 32863, 17630, 93395, 20321, 344, 10207, 28698, 13, 151643, 34027, 5451, 18713, 261, 4845, 299, 426, 25, 18482, 392, 48985, 13464, 7219, 31394, 267, 6712, 304, 131634, 1440, 198 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12686, 65161, 4845, 299, 12032, 19207, 198, 15, 20, 13, 72124, 220, 17, 15, 17, 15, 481, 220, 24, 25, 20, 18, 38183, 198, 50855, 1197, 74, 24774, 650, 261, 8656, 406, 5451, 54649, 2823, 1070, 25, 758, 2694, 98359, 6538, 8224, 46680, 7219, 11840, 94905, 15122, 392, 1960, 14840, 5205, 41544, 1225, 276, 23446, 350, 70551, 9820, 31394, 267, 6712, 304, 2694, 451, 577, 70, 7490, 26647, 23455, 304, 131634, 1440, 9421, 13, 8495, 2714, 1371, 332, 33748, 86714, 783, 2030, 15139, 585, 1664, 77, 624, 38, 19981, 220, 17, 17, 25, 20, 15, 38183, 81314, 13518, 57519, 19924, 65161, 2746, 31394, 267, 6712, 2030, 4845, 81, 25423, 1960, 15462, 220, 17, 15, 13333, 36956, 6433, 7416, 477, 613, 1960, 13, 468, 10453, 2694, 431, 2305, 29870, 42668, 4368, 18713, 261, 49536, 2030, 4845, 299, 55499, 40870, 3371, 96428, 13, 3303, 51292, 17837, 524, 1531, 2694, 2825, 58498, 11, 86714, 783, 9421, 2694, 730, 13256, 6395, 80617, 2030, 10928, 16807, 1863, 43275, 1960, 4748, 11595, 304, 9820, 44687, 1528, 6395, 4087, 40188, 13, 11563, 610, 2714, 901, 3092, 268, 9911, 2746, 2988, 32030, 304, 57123, 2185, 86123, 2565, 355, 86, 13977, 2576, 624, 18175, 3651, 551, 72, 512, 275, 7714, 4443, 94873, 408, 9820, 73507, 303, 2185, 14047, 3371, 350, 2305, 4160, 4368, 13, 54068, 1501, 645, 65, 60637, 14840, 5205, 28883, 41663, 74063, 13, 50130, 665, 2694, 730, 57040, 9896, 551, 72, 9089, 50958, 13906, 44340, 3089, 21211, 2694, 350, 70551, 13, 8408, 20004, 54594, 2185, 88280, 529, 17790, 458, 624, 14658, 551, 72, 282, 1466, 303, 295, 2030, 293, 1442, 295, 9919, 68989, 4443, 92660, 198, 59462, 68989, 11, 2746, 97576, 67, 3591, 20005, 49633, 41210, 56500, 20048, 11, 12643, 29167, 33748, 11, 9089, 21506, 2694, 98157, 67919, 220, 15, 17, 19, 17, 16, 220, 24, 19, 24, 12, 21, 19, 17, 20, 5451, 2694, 3651, 551, 72, 304, 6250, 90226, 6395, 97696, 13, 9740, 28551, 268, 12643, 1640, 9433, 70439, 48842, 6395, 3371, 2988, 2391, 13920, 6433, 624, 74909, 62401, 22589, 1531, 9089, 4443, 57519, 63657, 12385, 22394, 408, 20005, 98376, 1424, 17454, 11, 6538, 69507, 17058, 5451, 66796, 69, 36956, 220, 16, 20, 20, 9961, 264, 1362, 541, 408, 79409, 4116, 11, 66983, 38897, 32618, 70551, 7219, 77556, 220, 16, 22, 20, 12, 16, 23, 15, 9961, 66723, 25620, 14033, 11687, 47650, 13, 42161, 57519, 43303, 10552, 6772, 48323, 273, 307, 295, 25, 17058, 2694, 74539, 17392, 489, 768, 4368, 81828, 31793, 4657, 13820, 321, 5451, 7219, 4188, 42189, 465, 31665, 90211, 2030, 17058, 81828, 5679, 86407, 3173, 71, 960, 5451, 83904, 26824, 57845, 1579, 367, 268, 458, 3371, 82276, 39307, 81828, 5679, 13180, 65752, 12032, 624, 22171, 54936, 632, 56381, 350, 70551, 489, 768, 95524, 4368, 31665, 5197, 268, 674, 13820, 321, 85725, 304, 27599, 84, 2030, 9820, 81828, 2986, 55584, 13, 422, 39129, 12213, 2714, 83904, 23455, 5016, 91547, 458, 2030, 282, 50753, 665, 9820, 81828, 2986, 23334, 71, 15141, 455, 300, 1528, 5451, 9089, 13, 8495, 97144, 489, 68989, 15462, 81828, 2986, 794, 1847, 6899, 440, 624, 22171, 42141, 5342, 6538, 74021, 50232, 3342, 95524, 9820, 23334, 71, 15141, 455, 300, 1528, 5451, 9089, 13, 54068, 4116, 60637, 1501, 2863, 13, 70219, 273, 307, 295, 4116, 2714, 95524, 5451, 17443, 14780, 268, 31665, 5197, 268, 674, 13820, 321, 11, 17058, 63472, 2892, 794, 1847, 6899, 440, 2030, 17058, 63472, 2892, 55584, 13, 151643, 22587, 932, 7276, 395, 25, 23334, 72101, 6538, 4697, 10269, 14047, 4697, 10269, 198, 32617, 79409, 485, 89423, 4116, 96042, 7219, 220, 17, 21, 13, 15, 15, 15, 63948, 266, 4059, 932, 21506, 709, 85426, 2030, 625, 20175, 665, 47143, 9421, 50041, 84974, 426, 268, 13, 75291, 261, 26109, 142596, 4368, 136249, 288, 44382, 90360, 732, 451, 27784, 4697, 10269, 82, 305, 40522, 4733, 74, 2863, 723, 13, 1863, 359, 92975, 10712, 2714, 73411, 13820, 84758, 135266, 11, 87791, 10712, 89423, 4697, 10269, 51586, 135786, 7180, 358, 4897, 624, 53, 269, 40897, 40462, 45506, 35276, 370, 9089, 2746, 4229, 48414, 22385, 11, 9820, 6454, 1440, 89, 10938, 2988, 94650, 16034, 89423, 4697, 10269, 51586, 135786, 6395, 2714, 6566, 7964, 2030, 6616, 89423, 81625, 22010, 36108, 72705, 6250, 86, 3145, 28122, 42153, 2305, 28146, 9421, 89, 392, 45258, 13, 17564, 275, 64857, 304, 4697, 10269, 29181, 28095, 1640, 4188, 35225, 220, 22, 17, 13, 15, 15, 15, 63948, 266, 59422, 6395, 90769, 13, 21766, 2694, 76604, 1937, 2185, 2694, 69791, 35780, 440, 1197, 135475, 28095, 8793, 12222, 2694, 9179, 51817, 20005, 35780, 2787, 423, 81112, 51290, 1640, 9433, 70439, 20048, 28095, 1298, 89, 23318, 2030, 84758, 53383, 133429, 12643, 13, 21766, 2429, 23334, 72101, 95723, 10928, 2799, 10559, 4182, 8801, 11595, 13279, 55591, 7276, 395, 18069, 72101, 25, 8408, 96042, 883, 41658, 19767, 709, 72313, 665, 46069, 42603, 2694, 444, 10911, 287, 434, 2305, 778, 261, 53211, 5178, 595, 16074, 723, 343, 5006, 3605, 17029, 13, 16354, 275, 51528, 9820, 1527, 13363, 6817, 2125, 1579, 16034, 84247, 11, 2746, 47143, 13279, 2694, 25714, 61286, 50158, 2694, 794, 16722, 3089, 1241, 7276, 2305, 778, 261, 6250, 66671, 75315, 624, 33, 285, 51292, 135777, 5999, 35951, 2714, 832, 17917, 198, 22171, 23334, 72101, 39264, 28095, 1147, 2391, 70, 343, 13785, 2746, 425, 21558, 811, 25, 330, 48047, 17630, 28086, 61217, 19868, 331, 16676, 2030, 1527, 54708, 39307, 2746, 362, 2024, 89131, 265, 258, 42603, 458, 71017, 47669, 15577, 371, 64857, 1, 10207, 89730, 7937, 468, 77656, 11, 74219, 82, 273, 2015, 15577, 16568, 13, 34903, 17630, 47143, 63620, 3393, 43183, 66075, 87561, 9971, 529, 2030, 12583, 25494, 6395, 3004, 4865, 6772, 11, 14840, 51292, 135777, 3371, 23334, 72101, 93094, 71968, 6975, 6395, 90845, 13, 71161, 6395, 36744, 28831, 71865, 14821, 6616, 43908, 47227, 135522, 458, 3371, 730, 129076, 802, 13785, 42316, 13, 468, 77656, 5999, 387, 78400, 529, 6538, 72440, 7909, 25, 330, 1806, 82, 485, 96428, 17630, 9089, 13279, 2429, 23334, 72101, 650, 20572, 6772, 1640, 9919, 768, 3893, 71168, 13, 43997, 35951, 25620, 2649, 83, 5999, 11, 12643, 16111, 6616, 74354, 309, 1152, 72, 932, 3263, 1345, 16676, 9057, 14184, 268, 70407, 8151, 4865, 2746, 35346, 56539, 17246, 92182, 3371, 7001, 1579, 932, 6538, 55591, 7276, 395, 11, 3371, 15577, 371, 273, 275, 932 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2030, 2429, 23334, 86, 3818, 42473, 9421, 11, 2746, 58052, 2030, 3289, 449, 1167, 67952, 14410, 82751, 17630, 11, 14948, 2694, 23334, 72101, 312, 579, 28122, 2301, 13785, 2746, 425, 21558, 811, 62459, 15719, 13, 151643, 6123, 1387, 665, 794, 15671, 458, 68929, 2030, 28416, 68, 11, 2926, 1942, 370, 13464, 304, 1260, 449, 28122, 276, 54708, 2030, 4368, 11386, 1923, 74519, 2836, 14383, 1387, 12583, 4368, 450, 332, 7256, 1527, 2986, 28324, 7180, 15462, 2739, 5342, 377, 1960, 5016, 329, 724, 13464, 13, 56231, 2746, 76720, 7256, 2030, 4808, 6712, 362, 1362, 484, 2185, 2694, 5016, 329, 724, 1723, 1777, 97035, 37633, 9820, 49910, 1528, 5016, 329, 724, 1371, 383, 83592, 2030, 2739, 73938, 529, 9820, 92686, 2694, 40866, 624, 86550, 6969, 1587, 295, 5451, 17058, 362, 7063, 138417, 2185, 11, 58319, 1079, 66968, 15577, 2694, 7001, 1579, 5999, 11, 7364, 15359, 529, 4182, 417, 359, 18713, 12, 2030, 44340, 2185, 5342, 2125, 1579, 9421, 51145, 2956, 68398, 9820, 35758, 83, 4370, 64, 361, 44340, 2185, 2694, 5016, 329, 724, 1723, 1777, 28883, 16950, 44226, 7256, 28831, 423, 89, 2956, 1389, 2185, 2030, 97035, 37633, 17760, 2574, 9820, 3893, 64177, 665, 11, 387, 2210, 383, 5699, 6984, 89, 1469, 3321, 277, 2628, 624, 12992, 1863, 52, 66186, 11148, 3846, 1861, 16522, 5218, 8264, 1793, 953, 198, 86819, 17324, 54749, 16030, 8495, 2746, 7284, 3925, 5369, 11, 4443, 12304, 91912, 665, 53835, 6395, 20048, 198, 3944, 2828, 1861, 386, 9996, 12, 609, 2726, 51, 60002, 58684, 2149, 14912, 42, 479, 8412, 39, 481, 468, 687, 6643, 4198, 3944, 52148, 953, 362, 2034, 8753, 42, 38957, 953, 11, 506, 9552, 63361, 37923, 787, 32829, 198, 4121, 9820, 2030, 37347, 1967, 50158, 11, 350, 887, 30353, 6538, 2694, 28416, 68, 11, 1152, 1387, 665, 794, 15671, 458, 2694, 68929, 12385, 2694, 61217, 38453, 20175, 17058, 5016, 64864, 93590, 1365, 12412, 35141, 76720, 312, 351, 17029, 12643, 624, 47957, 275, 9421, 2429, 92670, 33370, 74519, 388, 331, 21140, 8793, 17790, 4368, 16950, 44226, 343, 140370, 261, 5016, 21140, 14821, 11, 97696, 16111, 9421, 38130, 1011, 2301, 76178, 267, 9416, 28122, 73860, 6730, 268, 4368, 11, 4443, 2746, 70038, 1777, 35758, 24494, 613, 6395, 40283, 34865, 16030, 624, 83953, 17058, 18859, 6969, 613, 1960, 70038, 1777, 12643, 76720, 9740, 66423, 1732, 1568, 77, 19767, 133429, 11, 4443, 39455, 45061, 2305, 5183, 9421, 89, 51078, 11567, 26824, 13, 2362, 1527, 21062, 75, 1854, 14821, 9820, 7219, 21062, 75, 1854, 265, 12063, 66850, 1123, 367, 7180, 39455, 709, 37285, 261, 440, 34368, 32863, 624, 54, 395, 388, 331, 21140, 11, 40987, 81, 1323, 1387, 12385, 5016, 64864, 93590, 1365, 6250, 2172, 10316, 8495, 7219, 6975, 624, 54, 19875, 8495, 9089, 13279, 70777, 458, 23898, 65078, 85740, 288, 7909, 13, 19929, 811, 56500, 16111, 43860, 10928, 29873, 1690, 11, 13368, 5016, 2305, 5183, 95898, 1122, 268, 12643, 15719, 624, 40, 4079, 4182, 417, 359, 12, 14597, 304, 51145, 2956, 68398, 66809, 13, 140108, 4894, 85799, 50, 198, 867, 3846, 1861, 11085, 6643, 35, 25633, 6517, 30512, 9552, 9389, 10685, 198, 76868, 12307, 59380, 37122, 7180, 18713, 12, 2030, 44340, 2185, 5342, 2125, 1579, 50232, 1440, 16111, 1967, 377, 371, 11595, 732, 758, 12495, 12, 39307, 732, 142791, 61286, 713, 2030, 142417, 661, 2723, 76, 25058, 3591, 19767, 13, 8408, 3680, 86, 33758, 36519, 1260, 449, 28122, 12, 2030, 73794, 299, 4079, 1323, 1387, 20805, 68, 1147, 83049, 6395, 66482, 50790, 70, 21673, 25714, 83543, 13, 55448, 707, 66362, 22728, 276, 54708, 11, 468, 484, 12640, 268, 6538, 451, 1122, 388, 331, 22851, 86, 33758, 12385, 16887, 713, 1782, 14668, 458, 422, 31573, 932, 12583, 31357, 23204, 1960, 22385, 2030, 12643, 6538, 77012, 4182, 417, 359, 12, 14597, 54064, 13785, 16687, 5676, 624, 48047, 66238, 43860, 9820, 76178, 267, 9416, 2185, 17246, 265, 645, 1967, 377, 371, 2185, 5451, 17058, 41663, 337, 5857, 331, 681, 6538, 1147, 404, 4554, 220, 24, 23, 14360, 60423, 2746, 2341, 8345, 15671, 18713, 12, 2030, 44340, 28122, 1389, 2305, 665, 15719, 2694, 5016, 21140, 458, 75077, 73794, 36519, 3680, 86, 33758, 12, 12385, 1260, 449, 28122, 74462, 35758, 83, 4370, 2863, 84544, 87481, 66809, 13, 304, 20004, 38130, 76, 823, 32251, 268, 7219, 15462, 74219, 47226, 220, 20, 14840, 220, 20, 15, 9961, 320, 3756, 14047, 293, 4943, 28324, 4229, 42316, 89249, 8, 384, 40399, 16789, 15141, 5840, 12643, 624, 49882, 275, 14821, 12222, 18520, 4368, 24285, 10453, 47355, 61286, 713, 19051, 416, 425, 1021, 89, 72583, 11, 467, 33545, 11, 4992, 13, 3893, 51176, 4711, 11, 4443, 3371, 5016, 21140, 387, 383, 7964, 6395, 20048, 13, 32521, 2574, 12643, 2746, 40866, 14410, 268, 5840, 2030, 77814, 30875, 343, 11595, 458, 2988, 93840, 39307, 44602, 268, 12, 12385, 68929, 9779, 2305, 4370, 773, 342, 4671, 13368, 50837, 29695, 59493, 624, 12992, 1863, 52, 66186, 11148, 3846, 1861, 16522, 5218, 8264, 1793, 953, 198, 867, 3846, 1861, 11085, 510, 641, 12495, 46168, 377, 371, 2185, 198, 65332, 26824, 46168, 377, 371, 2185, 198, 10551, 46168, 377, 371, 2185, 198, 3882, 610, 67, 610, 48985, 66693, 78606, 198, 39, 39337, 956, 372, 1330, 375, 39470, 198, 38, 3065, 2305, 661, 2723, 76, 25058, 645, 198, 71865, 4370, 64, 361, 1967, 377, 371, 2185, 198, 42, 780, 12, 2030, 40987, 81, 74462, 6860, 2185, 198, 1241, 17098, 642, 18520, 4593, 198, 65075, 510, 7070, 267, 9416, 2185, 17246, 265, 645, 6730, 268, 198, 3004, 28064, 2185, 5342, 2125, 10559, 3680, 69936, 198, 30124, 329, 724, 50528, 72164, 5451, 73211, 347, 562, 1123, 367, 198, 35, 713, 1782, 1199, 133618, 11595, 23991, 50095, 5166, 198, 33, 87723, 1038, 28064, 2185, 13279, 82220, 25423, 17454, 198, 372, 42477, 265, 12063, 8907, 4865, 261, 96346, 2185, 198, 17, 19, 39620, 22157, 12, 1860, 198, 1241, 17098, 642, 18520, 4593, 198, 87876, 3893, 64177, 665, 1967, 377, 371, 2185, 5999, 65733, 4443, 4593, 198, 37, 337, 45061, 2305, 5183, 6395, 2148, 1440, 5679, 198, 693, 1732, 2628, 2986, 21561, 2305, 3885, 6395, 68336, 5186, 5679, 198, 1241, 2746, 467, 22181, 1923, 54377, 4886, 14012, 6395, 21187, 16030, 198, 10141, 2172, 10316, 8495, 7219, 44367, 41663, 65224, 1365, 4182, 417, 359, 18713, 12, 2030, 44340, 2185, 5342, 2125, 1579, 31477, 9421, 51145, 2956, 68398 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 624, 45, 3065, 268, 2694, 3680, 86, 33758, 36519, 1260, 449, 28122, 12, 2030, 73794, 299, 4079, 1323, 1387, 20805, 68, 142037, 10928, 2746, 142418, 70526, 4195, 25058, 645, 732, 74219, 2694, 34037, 45, 4365, 5190, 220, 16, 18, 16, 23, 22, 11, 2694, 2502, 1202, 12, 52260, 12, 2271, 14047, 34037, 45, 4365, 5190, 220, 16, 18, 23, 17, 24, 7180, 9970, 344, 143492, 11, 6616, 49371, 66693, 30353, 6538, 22728, 276, 54708, 2030, 2746, 19929, 53152, 59568, 7923, 6395, 3371, 12307, 59380, 42153, 33254, 6538, 4182, 417, 359, 624, 85799, 50, 198, 17, 19, 39, 4183, 17625, 953, 784, 434, 138346, 467, 4939, 4321, 2149, 86975, 91510, 198, 8813, 417, 359, 18713, 12, 2030, 44340, 2185, 5342, 2125, 1579, 31477, 1365, 6250, 2172, 10316, 8495, 7219, 6975, 198, 50855, 17630, 4368, 17324, 2095, 22079, 30, 1863, 61897, 932, 8495, 8793, 70836, 4182, 417, 359, 2806, 67, 3591, 267, 77868, 324, 28421, 13, 1230, 799, 220, 17, 19, 71, 1967, 377, 371, 2185, 11, 18713, 12, 2030, 44340, 2185, 5342, 2125, 1579, 31477, 2806, 67, 3591, 267, 7909, 54383, 7180, 8495, 26933, 275, 11, 4443, 43860, 58052, 2030, 10890, 6862, 306, 92660, 6395, 512, 37122, 0, 151643, 1912, 482, 75074, 93590, 5999, 387, 54081, 2030, 15687, 22163, 331, 1944, 342, 932, 18207, 37896, 11, 33043, 19104, 79913, 25369, 1047, 3248, 30, 7297, 11, 24929, 67594, 2694, 730, 1723, 2694, 57123, 7256, 19349, 624, 55063, 59462, 275, 2073, 5999, 13279, 1422, 16053, 3893, 1419, 33370, 386, 28658, 4160, 752, 380, 724, 4368, 67210, 29406, 371, 13, 19000, 20617, 2739, 5205, 83, 2746, 4400, 273, 25714, 1174, 91647, 26612, 2030, 458, 18207, 5999, 7364, 8793, 34368, 6395, 3371, 2712, 624, 19957, 22075, 883, 40157, 28831, 75315, 11, 1152, 71, 4832, 42046, 2694, 25369, 1047, 3248, 13, 5004, 372, 8793, 1083, 6616, 20617, 35323, 5451, 16034, 18207, 90845, 5267, 48047, 37896, 30632, 41557, 39771, 7180, 3371, 28718, 268, 65, 54736, 11, 65948, 3821, 932, 6975, 19104, 10928, 4443, 1581, 482, 35708, 13, 1581, 258, 20617, 5999, 5451, 49536, 2030, 87231, 11, 22075, 1531, 650, 2672, 71, 343, 14821, 11, 13279, 2429, 16151, 5451, 76, 45699, 320, 1127, 136249, 288, 42678, 4865, 4292, 15692, 198, 39, 51817, 9089, 7364, 8793, 773, 2739, 70617, 3342, 458, 11, 12385, 5267, 18175, 730, 29285, 35103, 13279, 8652, 304, 3371, 431, 2305, 372, 6772, 51707, 67317, 12385, 22075, 6616, 467, 21405, 55813, 17859, 5999, 11, 10928, 8641, 44096, 84, 26824, 13, 12741, 19219, 9421, 64560, 12, 2030, 20004, 67, 27097, 30654, 39307, 75074, 93590, 1991, 1600, 77, 559, 1579, 52549, 97703, 58052, 26252, 4946, 13, 51310, 730, 29285, 258, 22385, 88280, 529, 77556, 9820, 794, 28865, 624, 74863, 5451, 20617, 8896, 1757, 275, 41983, 647, 16568, 457, 510, 1658, 20112, 32030, 79913, 25369, 1047, 3248, 624, 8813, 361, 36866, 28815, 12643, 48323, 129894, 79, 723, 624, 32617, 20617, 15719, 2746, 60706, 71713, 9855, 56539, 343, 143562, 624, 53, 6215, 355, 746, 89, 11595, 510, 11135, 77, 14047, 75074, 93590, 4886, 1723, 198, 32617, 14835, 3925, 2073, 21982, 1644, 11687, 198, 44, 11042, 392, 12640, 268, 12583, 510, 38, 1070, 4929, 2886, 11, 8536, 83, 1387, 11, 1163, 766, 268, 11, 18207, 8470, 665, 11, 74106, 301, 332, 724, 321, 3591, 4992, 13, 7180, 82, 20617, 11, 1163, 424, 7180, 2746, 11, 2746, 49183, 5451, 20617, 10552, 17454, 85970, 198, 50, 965, 1960, 16111, 435, 11855, 709, 12032, 11, 595, 34271, 7256, 10638, 6616, 13906, 1923, 458, 624, 17249, 482, 510, 50855, 383, 730, 1723, 10393, 198, 15692, 198, 32, 1387, 31643, 300, 12583, 1059, 89, 6772, 686, 42789, 0, 2157, 380, 43303, 26769, 143525, 5451, 35515, 4003, 2030, 17630, 4368, 48100, 37888, 436, 1147, 68989, 46646, 624, 50, 965, 1960, 16111, 6616, 16151, 14047, 44096, 84, 26824, 2739, 48414, 11, 38261, 65295, 67519, 97973, 18078, 57926, 624, 4703, 285, 510, 370, 220, 16, 20, 12984, 2746, 794, 28865, 608, 730, 29285, 668, 220, 21, 24, 12984, 198, 16738, 1723, 5999, 7219, 220, 23, 47355, 88487, 2148, 1440, 11687, 340, 15692, 198, 641, 3371, 52990, 802, 3591, 75315, 12222, 4845, 74919, 16151, 67317, 13, 19000, 26125, 819, 14906, 76, 304, 3371, 28462, 3591, 14821, 67519, 97973, 81331, 3893, 42316, 13, 8408, 17790, 1007, 33370, 80544, 12643, 24929, 14047, 3371, 28462, 3591, 11845, 4188, 61007, 13, 151643, 91176, 462, 7288, 63699, 51001, 13731, 362, 16, 17538, 198, 2388, 72475, 16, 24, 22, 20, 345, 5472, 450, 728, 46449, 7180, 23273, 70336, 5999, 4443, 42477, 265, 28064, 2030, 27298, 70298, 6386, 28421, 14431, 2030, 1147, 392, 2636, 9416, 13, 305, 1847, 68, 64015, 5419, 82197, 281, 3101, 336, 15, 77, 345, 39726, 73612, 595, 24774, 5451, 9443, 85953, 425, 14412, 3092, 268, 7219, 44367, 47404, 25, 7727, 6308, 76213, 46449, 462, 11, 72984, 33161, 46449, 462, 4368, 58158, 151643, 18175, 13818, 367, 2694, 77814, 6566, 750, 50753, 84409, 11, 14948, 9820, 53211, 55067, 41852, 38013, 10938, 7355, 32997, 2185, 939, 1527, 27127, 450, 50591, 724, 14835, 36730, 98335, 2073, 304, 53936, 20404, 309, 1782, 275, 8793, 387, 71168, 30179, 42137, 11, 12709, 303, 529, 59765, 458, 2694, 5016, 32997, 359, 136507, 50499, 939, 9919, 713, 724, 7180, 2746, 26896, 649, 1387, 1960, 467, 9151, 13, 71161, 10712, 41852, 38013, 408, 732, 17632, 811, 6538, 16625, 220, 23, 22080, 13, 220, 17, 69093, 13, 220, 17, 4389, 268, 38, 20048, 10928, 1365, 7180, 2746, 26896, 649, 1387, 1960, 467, 9151, 2030, 60404, 267, 273, 275, 11595, 14840, 5205, 17790, 8793, 31100, 408, 7714, 1365, 8151, 610, 20005, 4182, 51078, 2956, 15897, 11595, 6454, 81184, 12643, 11, 2746, 9421, 18520, 17392, 7107, 437, 665, 22837, 38158, 8666, 826, 288, 61007, 12583, 11, 22075, 7180, 2746, 4182, 51078, 2956, 15897, 2185, 34542, 304, 54649, 20404, 309, 1782, 275, 4368, 41852, 38013, 1659, 4864, 51767, 18859, 41137, 2257, 5999, 320, 54118, 44676, 264, 13, 264, 13, 506, 2572, 431, 17395, 81, 13, 220, 18, 17, 1365, 56272, 44, 3221, 26, 14773, 1511, 220, 17, 15, 15, 19, 11, 220, 21, 22, 19, 431, 17395, 81, 13, 220, 24, 22, 1365, 3877, 74, 517, 10692, 26, 264, 13, 264, 13, 506, 13, 431, 17395, 81, 13, 220, 18, 23, 47053, 1898, 30215, 568, 2055, 63940, 2694, 14785, 10928, 13279 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2694, 12412, 6454, 336, 783, 33748, 11, 8793, 75590, 650, 37285, 2956, 24134, 6772, 29167, 695, 33748, 93504, 74, 2855, 2554, 11, 13279, 2694, 4368, 4704, 74, 50095, 91513, 31722, 47226, 2429, 20404, 309, 18387, 14412, 3092, 2030, 2694, 14211, 26824, 76604, 60409, 2185, 53936, 5699, 32997, 359, 136507, 6433, 7107, 437, 665, 457, 8793, 98421, 320, 85, 6072, 13, 10928, 425, 27106, 38, 220, 17, 23, 467, 320, 4676, 8, 220, 17, 20, 14, 16, 17, 1365, 55706, 88243, 26, 220, 17, 23, 467, 320, 4676, 8, 220, 20, 17, 24, 14, 16, 17, 1365, 50851, 21807, 568, 2362, 30512, 1323, 6433, 5999, 2694, 6250, 81112, 15269, 276, 22539, 84251, 406, 11, 357, 130337, 5451, 47669, 425, 14412, 3092, 268, 16540, 6951, 17029, 6395, 12643, 11, 2746, 58442, 97576, 143213, 33124, 48842, 304, 4368, 649, 2305, 5857, 15232, 11, 5699, 13363, 31151, 471, 7272, 2030, 458, 1726, 285, 1659, 3377, 13785, 23692, 17454, 13, 4724, 77, 610, 20048, 11, 1197, 709, 4370, 2694, 38453, 4865, 2694, 77814, 6566, 750, 50753, 84409, 11, 10928, 96042, 17790, 8793, 31100, 408, 7714, 12385, 23018, 8470, 87460, 16053, 1152, 71, 1536, 71, 2577, 665, 11, 19104, 55248, 1126, 17958, 2739, 47635, 20005, 37337, 63051, 8535, 19767, 11855, 10712, 2048, 1528, 21982, 6250, 81112, 2714, 8656, 406, 12643, 2030, 12583, 24929, 17312, 77814, 75399, 56505, 84858, 320, 85, 6072, 13, 4509, 2956, 1371, 273, 23354, 9683, 11, 4389, 268, 38, 11, 220, 16, 15, 13, 32050, 1489, 2572, 16625, 220, 23, 431, 17395, 81, 13, 220, 17, 24, 18, 296, 13, 289, 13, 451, 35334, 8408, 58485, 8666, 46745, 75399, 2694, 69791, 467, 16568, 14835, 36730, 2073, 2030, 14835, 98335, 2073, 2739, 30506, 93328, 10928, 13906, 36744, 472, 2245, 59785, 9820, 5016, 32997, 136507, 50499, 8793, 6395, 87541, 34271, 268, 624, 76868, 650, 91184, 2257, 41852, 38013, 10938, 7416, 8229, 35141, 6616, 1527, 27127, 450, 2986, 28324, 14835, 36730, 98335, 2073, 6538, 3371, 21766, 81936, 261, 76712, 2694, 1527, 36601, 84409, 939, 49662, 83423, 74191, 12643, 20048, 13, 151643, 13297, 4878, 1370, 258, 481, 2926, 1942, 4366, 481, 49096, 3591, 4554, 1704, 14906, 76, 12743, 453, 417, 25, 350, 3104, 1466, 3342, 2694, 15433, 2396, 6691, 5840, 3591, 59801, 41203, 47669, 29505, 2185, 481, 6645, 4878, 1370, 258, 481, 481, 5649, 276, 5679, 198, 3144, 25, 3703, 1110, 2136, 32815, 1448, 351, 1370, 258, 2285, 14, 5472, 276, 5679, 14, 749, 261, 325, 5523, 3104, 1466, 3342, 12, 1107, 82428, 2396, 12, 9913, 3591, 12, 261, 4223, 3818, 39978, 10316, 1331, 65845, 2185, 7409, 12, 16, 17, 21, 22, 21, 15, 16, 2564, 198, 89, 48418, 11687, 84301, 87481, 25, 220, 16, 20, 13, 42256, 220, 17, 15, 16, 24, 11, 220, 16, 20, 25, 16, 22, 38183, 198, 90940, 3591, 4554, 1704, 14906, 76, 12743, 453, 417, 350, 3104, 1466, 3342, 2694, 15433, 2396, 6691, 5840, 3591, 59801, 41203, 47669, 29505, 2185, 198, 18175, 49096, 3591, 6538, 15433, 2396, 12583, 1079, 32618, 1126, 331, 14047, 6437, 336, 32050, 723, 9913, 6395, 17443, 2694, 74539, 1960, 6250, 5623, 261, 732, 13979, 706, 22539, 27784, 13, 28275, 27431, 2694, 88937, 74, 27045, 932, 32175, 74, 34271, 17917, 42668, 11, 19349, 732, 4350, 18731, 41852, 9379, 21649, 49096, 3591, 129579, 4554, 1704, 14906, 76, 8793, 11845, 746, 5679, 6395, 56945, 11, 66093, 1531, 28086, 732, 98877, 12032, 1599, 295, 956, 12, 2314, 301, 732, 468, 321, 3888, 78, 14047, 82816, 13, 1863, 48418, 11687, 85117, 7714, 9089, 2694, 22080, 331, 13363, 2694, 393, 2068, 485, 5451, 220, 17, 21, 11, 21, 24, 19461, 7219, 1148, 676, 220, 20, 78233, 9421, 13, 16354, 275, 63940, 2746, 49096, 645, 7219, 63165, 2956, 11008, 5251, 263, 1862, 6222, 4865, 47143, 5451, 77556, 220, 19, 20, 78233, 732, 3386, 355, 624, 54370, 2429, 2714, 811, 13160, 730, 1723, 81, 23747, 308, 21519, 13820, 9089, 2746, 49096, 645, 2694, 98877, 1923, 268, 90224, 58308, 66685, 4845, 78571, 6772, 4317, 383, 71017, 63165, 16053, 306, 4738, 6538, 220, 17, 15, 16, 19, 13279, 220, 17, 20, 11, 18, 16, 19461, 13, 15017, 29159, 58881, 24929, 8793, 18520, 36077, 7180, 4368, 1032, 74, 539, 83, 4738, 1152, 70667, 11, 6616, 2746, 49096, 3591, 220, 17, 15, 16, 18, 732, 1863, 4733, 939, 425, 2956, 5428, 826, 64487, 13279, 1148, 676, 220, 17, 18, 19461, 1868, 17029, 83572, 13, 28275, 17058, 56740, 6538, 42678, 6130, 33481, 11595, 17630, 9911, 47332, 1536, 896, 457, 41488, 2429, 220, 17, 15, 16, 23, 261, 67775, 13279, 1148, 676, 220, 23, 15, 19461, 77556, 40462, 422, 1003, 22924, 458, 78445, 48376, 3065, 134215, 83, 13, 151643, 46, 652, 2174, 3591, 10559, 73512, 608, 137256, 50095, 22443, 519, 68, 198, 2132, 55318, 11, 51145, 2174, 3591, 10559, 73512, 11, 137256, 50095, 22443, 519, 68, 11, 56856, 331, 25834, 198, 37, 261, 3591, 276, 55754, 7313, 22443, 64, 24069, 11, 56856, 331, 25834, 198, 36731, 10316, 8495, 9089, 7219, 650, 9433, 65845, 13820, 22840, 43506, 20743, 304, 76, 22449, 17058, 58459, 12495, 2825, 16074, 276, 55754, 13, 35783, 18747, 28658, 50095, 1032, 6996, 268, 65, 83919, 2714, 35608, 295, 8495, 304, 17443, 44445, 265, 3591, 28462, 3591, 28736, 481, 773, 20048, 10928, 79409, 485, 43999, 27684, 15113, 2301, 732, 7577, 3591, 58237, 624, 80593, 9820, 67467, 10559, 28831, 6395, 54936, 275, 4081, 11855, 78, 10507, 13368, 7180, 15462, 650, 9433, 65845, 50958, 52159, 3591, 1085, 43506, 25, 8408, 8099, 61231, 10938, 1800, 12487, 89, 5451, 77775, 1330, 20542, 2154, 1749, 2030, 5540, 276, 55754, 60729, 43860, 12304, 7577, 72, 89249, 36108, 1845, 471, 1114, 4223, 4776, 2030, 55248, 97973, 3371, 5362, 36108, 44771, 624, 2132, 55318, 11, 51145, 2174, 3591, 10559, 73512, 11, 137256, 50095, 22443, 519, 68, 11, 3874, 16597, 5652, 198, 45, 324, 15462, 27265, 5679, 3089, 1370, 1268, 46014, 21982, 22443, 519, 68, 82195, 406, 25, 1345, 4079, 91896, 71760, 5451, 25620, 76, 473, 85, 965, 384, 5137, 4865, 33748, 1845, 471, 3723, 2030, 40462, 393, 6178, 13, 468, 6308, 4368, 73360, 932, 31551, 481, 28095, 4368, 289, 31009, 331, 2956, 4873, 22840, 64, 15738, 5600, 449, 321, 4894, 8852, 30905, 28736, 5836, 51620, 52879, 11, 56856, 331, 25834, 198, 75919, 2429, 12721, 12536, 3179, 3959, 2030, 4368, 48100, 80544, 1079 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22728, 47008, 8495, 9089, 732, 77302, 33226, 5451, 289, 1241, 648, 337, 3433, 81287, 13785, 3371, 22443, 519, 68, 31100, 84251, 12495, 13, 506, 1107, 8495, 512, 6996, 268, 9089, 34368, 30563, 355, 11, 58237, 24929, 350, 16053, 1960, 25151, 2030, 94655, 668, 1412, 7219, 2694, 17655, 13256, 19051, 416, 13411, 36564, 13, 9236, 27298, 773, 36077, 4182, 1137, 6395, 11460, 481, 53165, 12353, 0, 151643, 32617, 14552, 1674, 8055, 29876, 983, 304, 647, 3145, 3431, 268, 1528, 1031, 7522, 198, 70451, 220, 16, 19, 17, 15098, 16754, 16074, 63319, 304, 647, 3145, 3431, 268, 1528, 83797, 198, 54428, 45501, 220, 18, 15, 11, 647, 3145, 3431, 268, 1528, 11, 647, 3145, 3431, 268, 1528, 11, 1084, 55318, 11, 220, 16, 16, 15, 17, 23, 481, 25714, 2694, 730, 19840, 85239, 198, 7799, 16034, 14552, 1674, 8055, 29876, 983, 198, 32617, 732, 1863, 306, 10721, 6538, 647, 3145, 3431, 268, 1528, 3893, 1937, 1952, 14552, 1674, 8055, 29876, 983, 81616, 295, 9089, 220, 16, 13136, 6538, 3371, 25784, 37122, 356, 545, 66945, 1528, 82195, 406, 13, 56231, 220, 17, 73580, 1065, 13160, 82195, 406, 17630, 8495, 3457, 3591, 76716, 524, 6395, 17443, 22728, 2030, 17443, 4818, 8832, 372, 13, 42161, 40407, 2739, 30166, 4370, 13785, 15462, 2988, 610, 60365, 6222, 266, 52292, 11, 26073, 288, 70847, 2030, 5699, 95144, 14225, 13820, 44306, 3667, 13, 19000, 34734, 1952, 425, 1021, 64474, 5999, 5451, 17443, 14101, 471, 20521, 1194, 9421, 6969, 1587, 295, 13, 8495, 20048, 140729, 4368, 59739, 7997, 288, 2030, 1059, 89, 81760, 288, 2869, 21558, 135522, 82757, 26824, 11, 66983, 43860, 6616, 25488, 330, 2101, 8055, 29876, 983, 1, 57465, 39337, 93887, 10712, 10928, 2590, 37035, 19929, 37347, 4853, 17029, 13, 25714, 1527, 83301, 12583, 10928, 12997, 277, 10559, 19929, 37347, 59801, 41203, 6772, 13, 18069, 4818, 33395, 305, 41203, 220, 20, 15, 296, 21982, 14552, 82195, 406, 2030, 21982, 31329, 16719, 1055, 12853, 42488, 73600, 12495, 8495, 220, 17, 15, 9460, 7970, 13160, 13, 8408, 22450, 2660, 2030, 6616, 20481, 304, 14205, 19625, 258, 1168, 12583, 97144, 220, 17, 15, 13136, 21982, 14552, 82195, 406, 624, 86819, 11321, 1960, 8495, 11, 14948, 13279, 2694, 33278, 2185, 6538, 19851, 17808, 2645, 27233, 965, 79, 2645, 2746, 2126, 134291, 440, 16034, 32618, 351, 12, 12385, 3680, 408, 38809, 8793, 732, 60939, 1197, 35505, 12583, 13, 2362, 20101, 5999, 6616, 25488, 12222, 16034, 3680, 408, 38809, 3893, 51176, 4711, 13, 15438, 266, 28736, 142454, 64857, 12222, 732, 20101, 17312, 90769, 13, 151643, 63599, 25, 1527, 5580, 467, 5186, 1489, 6250, 91712, 37633, 1079, 220, 17, 13, 80157, 220, 17, 15, 16, 24, 304, 31145, 2391, 325, 609, 2823, 321, 8535, 198, 91992, 19767, 7297, 76, 13977, 40951, 5412, 2085, 75315, 52434, 304, 3371, 3184, 35649, 6538, 37419, 6395, 37419, 4368, 74539, 12917, 81020, 458, 49848, 6222, 20436, 268, 1365, 2746, 67658, 10928, 8793, 12222, 6395, 342, 14412, 483, 870, 51290, 10928, 6395, 3893, 1323, 13518, 336, 46690, 16053, 5699, 2660, 40188, 13, 36574, 10928, 6395, 2823, 321, 8535, 13368, 31145, 2391, 325, 12385, 38312, 8828, 434, 23262, 13, 647, 24619, 42786, 595, 54536, 9089, 34749, 49848, 6222, 20436, 268, 304, 30781, 17739, 34542, 13, 16887, 6616, 566, 332, 7256, 81448, 713, 324, 461, 1032, 54749, 27298, 1531, 28086, 25494, 52287, 13, 9236, 51528, 10928, 38805, 28883, 39493, 268, 9421, 13, 16887, 81448, 713, 324, 461, 6368, 267, 54739, 6772, 6395, 342, 14412, 483, 870, 46690, 16053, 13, 18078, 27313, 6395, 431, 484, 69, 273, 16053, 11, 6616, 732, 393, 7065, 4223, 12, 2323, 13785, 87533, 336, 3841, 8801, 342, 14412, 483, 83, 26109, 89478, 32617, 8354, 16034, 1032, 54749, 1365, 22075, 15687, 30632, 41557, 6051, 17029, 90556, 686, 267, 11, 24929, 668, 263, 7751, 485, 44367, 5573, 47404, 11, 3371, 38593, 11, 3371, 25051, 6691, 4513, 12385, 81212, 13370, 15843, 48821, 198, 82043, 2501, 6616, 1032, 54749, 55813, 9421, 7638, 43409, 3591, 5267, 52673, 48985, 5412, 14668, 9089, 2746, 4229, 273, 4079, 1960, 13, 422, 395, 1531, 72170, 9421, 2694, 3309, 258, 15232, 22222, 17739, 136112, 51528, 72170, 8793, 13, 36574, 63506, 65295, 40157, 84193, 8641, 50435, 50201, 13279, 26587, 19767, 624, 2314, 3818, 1531, 9089, 49536, 330, 77, 324, 1, 12222, 4443, 9820, 2055, 23455, 5267, 8813, 258, 11, 883, 15719, 5451, 81448, 713, 324, 461, 10928, 89115, 16030, 13, 14235, 142580, 24440, 55813, 25494, 595, 1222, 344, 348, 6670, 12032, 13, 71474, 79192, 47008, 9089, 40870, 33519, 45097, 89115, 16030, 13, 506, 1107, 24440, 5412, 4865, 384, 552, 76, 434, 16053, 9820, 69030, 2185, 81448, 713, 324, 461, 304, 2746, 14322, 1387, 51176, 46621, 11, 94505, 24440, 50435, 7219, 3371, 49848, 12385, 304, 3371, 6841, 1055, 268, 2472, 83, 624, 26034, 5999, 12412, 62401, 1766, 613, 2746, 89931, 89, 332, 266, 5267, 18175, 31184, 321, 645, 13, 13409, 824, 70667, 14821, 9820, 2770, 62634, 31184, 321, 645, 13, 7281, 8793, 2746, 61067, 29763, 2424, 321, 645, 13, 8408, 61067, 29763, 2424, 321, 645, 5999, 143525, 93395, 357, 1118, 2030, 73741, 9089, 8793, 38805, 773, 17859, 13368, 2746, 2770, 62634, 31184, 321, 645, 2739, 277, 50656, 13, 8408, 31184, 321, 645, 27298, 2429, 81448, 713, 324, 461, 10928, 38897, 3582, 10559, 1081, 2391, 811, 13452, 1371, 624, 87876, 93395, 10489, 1902, 4865, 95285, 44492, 25, 5451, 50041, 1863, 332, 13518, 13, 320, 59243, 25, 89487, 467, 5186, 1489, 340, 40369, 27726, 10928, 28086, 54459, 6538, 926, 870, 81448, 713, 324, 461, 93096, 4894, 52445, 11, 6616, 27298, 1531, 10928, 11, 5999, 19104, 8793, 773, 18607, 265, 41538, 13368, 6616, 1081, 2391, 811, 81448, 713, 324, 461, 0, 2823, 318, 926, 1960, 74191, 883, 8364, 349, 2030, 31643, 40454, 13, 19000, 1081, 2391, 811, 305, 287, 19981, 5999, 16447, 2305, 27951, 65, 10215, 529, 288, 81448, 713, 324, 461, 624, 83516, 1528, 30632, 268, 1863, 332, 13518, 12643, 95243, 17790, 91304, 17917, 5267, 44667, 1531, 70984, 6395, 37896, 25, 663, 1600, 1103, 11, 13620, 674, 4260, 1387, 11, 1863, 45702, 9779, 77, 11, 506, 1580, 5652, 11, 68730, 47795, 2024, 1587, 11, 910, 321, 333, 1023, 268, 11, 8211, 89, 11, 81828, 7070, 393, 1859, 2945, 39307, 12838, 343, 2030, 136990, 13, 6771, 89, 465, 288, 51327, 723, 10928, 28789, 330, 39416, 2257, 37896, 22956 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 83516, 1528, 1863, 45702, 9779, 77, 74191, 883, 30, 16887, 27298, 1531, 19489, 266, 2071, 53797, 5267, 74909, 27298, 1531, 80260, 20005, 362, 1362, 395, 11595, 25, 8408, 15462, 80617, 926, 665, 1863, 45702, 9779, 77, 11, 2746, 38684, 26252, 372, 71765, 5016, 278, 10291, 13, 19000, 93985, 55813, 65295, 13785, 70489, 13, 43997, 24440, 9820, 9057, 70439, 41663, 65224, 22996, 2391, 28494, 2694, 1863, 45702, 9779, 6691, 355, 71965, 28789, 81448, 713, 324, 461, 67960, 54749, 69876, 6055, 83, 11, 773, 5699, 265, 20319, 1531, 54064, 304, 2746, 67489, 546, 21506, 49662, 46668, 2823, 21561, 2032, 13, 25861, 27726, 23273, 13279, 88787, 1032, 54749, 7180, 20101, 1227, 68, 320, 40412, 19488, 142580, 24440, 2869, 93110, 819, 30781, 645, 9779, 79551, 8, 2030, 5016, 278, 50011, 36852, 31722, 268, 624, 83516, 1528, 69252, 7522, 332, 724, 321, 3591, 20112, 33827, 10638, 7180, 2746, 95714, 485, 50158, 5267, 53750, 35363, 2030, 12304, 482, 15462, 386, 9416, 799, 13, 49192, 2806, 18060, 1531, 10928, 9820, 69252, 7522, 6899, 87895, 13, 36574, 19767, 82, 386, 9416, 799, 77, 2694, 1863, 332, 13518, 12643, 2746, 362, 441, 268, 17790, 70336, 3457, 51663, 61007, 11, 10712, 8725, 19767, 2746, 1863, 12540, 321, 30353, 1466, 2660, 17058, 69252, 7522, 6899, 87895, 14410, 5467, 426, 624, 18175, 8185, 377, 33370, 1863, 332, 13518, 74453, 6395, 261, 267, 52716, 58534, 304, 3371, 386, 9416, 799, 35103, 13, 320, 59243, 25, 89487, 467, 5186, 1489, 340, 37438, 343, 25, 11937, 12385, 834, 258, 5267, 1806, 2721, 74919, 0, 18069, 31145, 16053, 9421, 12838, 343, 2030, 136990, 5999, 38805, 3582, 16053, 7180, 4368, 81448, 713, 324, 461, 1032, 54749, 13, 16887, 289, 336, 6616, 49081, 2986, 55813, 6395, 822, 8801, 5999, 11, 51939, 2694, 15854, 723, 2694, 13589, 6535, 4446, 83, 28086, 39771, 328, 2305, 552, 5451, 11, 2694, 15719, 67658, 10928, 7219, 3371, 12838, 343, 73197, 28698, 624, 40, 267, 81448, 713, 324, 461, 274, 1762, 69, 5267, 32617, 51528, 74054, 458, 11, 13368, 9971, 301, 393, 1859, 2945, 2030, 81415, 883, 387, 343, 20319, 13, 35783, 142580, 2994, 55813, 38805, 23034, 288, 81448, 713, 324, 461, 1059, 58158, 12385, 36108, 6616, 330, 89, 896, 2861, 293, 1440, 406, 3263, 19000, 63940, 55813, 38805, 13279, 65295, 13, 78021, 362, 13920, 2185, 25, 29643, 24440, 55813, 25494, 274, 1762, 69, 288, 2497, 8345, 529, 2030, 136088, 4368, 18107, 295, 3371, 5840, 15269, 276, 11, 14948, 8793, 55928, 330, 50, 1762, 69, 1, 2739, 140464, 13, 7281, 5999, 1531, 83835, 31410, 309, 4368, 81448, 713, 324, 461, 274, 1762, 69, 2030, 4368, 30632, 288, 93395, 23034, 1147, 5197, 392, 485, 14668, 13, 16887, 25, 9236, 5999, 7906, 88660, 8343, 6772, 1508, 4368, 13785, 11855, 274, 1762, 69, 288, 81448, 713, 324, 461, 17859, 6395, 1152, 68413, 46690, 16053, 13368, 472, 21519, 77, 7522, 12385, 84243, 6368, 267, 1365, 12385, 2746, 5016, 13977, 1859, 3371, 35346, 76, 473, 21982, 46690, 16053, 25494, 10489, 9160, 2956, 406, 89478, 80593, 46668, 1032, 54749, 47650, 34542, 633, 20521, 4711, 68, 910, 321, 285, 79551, 13, 2823, 13536, 71, 28122, 41210, 4443, 68876, 6395, 19349, 25, 9820, 14761, 1371, 926, 665, 81415, 13, 320, 59243, 25, 89487, 467, 5186, 1489, 340, 50, 965, 10638, 6616, 68730, 47795, 2024, 1587, 10928, 5451, 38809, 5267, 8813, 258, 11, 19104, 1531, 93096, 6395, 3371, 47227, 89, 332, 13518, 2030, 27298, 2429, 81448, 713, 324, 461, 9820, 61550, 54739, 20005, 362, 441, 585, 316, 1146, 68, 13, 9236, 5999, 48803, 22079, 6616, 68730, 47795, 2024, 1587, 11, 14047, 27431, 6616, 81448, 713, 324, 461, 74764, 19767, 709, 89, 11706, 8896, 11, 26252, 6395, 82195, 12495, 624, 38, 2095, 81448, 713, 324, 461, 20112, 32030, 38897, 28831, 4894, 9945, 64489, 26824, 25, 2573, 11687, 6616, 81448, 713, 324, 461, 1032, 54749, 47143, 1308, 4979, 724, 15462, 12353, 13906, 1923, 4443, 11, 94505, 24440, 1531, 74191, 13, 9236, 27298, 71765, 70772, 5676, 2746, 6538, 14840, 6395, 40462, 69713, 65562, 7522, 11, 14840, 2746, 362, 441, 268, 2694, 1863, 332, 13518, 12304, 1147, 361, 258, 8199, 81671, 17630, 624, 80593, 82, 26349, 1330, 331, 811, 12487, 2694, 31184, 321, 645, 384, 84858, 9089, 1079, 52747, 4368, 274, 11706, 93339, 288, 42616, 34103, 36370, 13, 320, 59243, 25, 89487, 467, 5186, 1489, 340, 1001, 1600, 1103, 11, 506, 1580, 5652, 11, 81415, 11, 393, 1859, 2945, 2030, 8211, 89, 304, 3371, 386, 9416, 799, 56500, 2030, 1152, 258, 296, 9416, 799, 77, 13, 63678, 2746, 1863, 45702, 9779, 77, 11, 13620, 674, 4260, 1387, 2030, 31184, 321, 645, 53797, 50697, 704, 53797, 56500, 2030, 296, 9416, 799, 77, 624, 75919, 2429, 386, 9416, 799, 77, 2694, 8185, 377, 33370, 1863, 332, 13518, 58065, 31184, 321, 645, 11, 1863, 45702, 9779, 2030, 13620, 674, 4260, 1387, 38805, 1152, 258, 29695, 473, 83, 12385, 14410, 2125, 22449, 304, 3371, 386, 9416, 799, 13, 320, 59243, 25, 89487, 467, 5186, 1489, 340, 45, 359, 3371, 15854, 723, 2694, 13589, 6535, 1147, 4733, 7964, 2030, 21506, 435, 21558, 1440, 5451, 136990, 7219, 21512, 26824, 11, 14840, 9089, 2746, 22539, 66107, 38486, 730, 2382, 380, 16597, 29167, 695, 295, 8896, 13, 758, 17443, 47708, 9379, 33370, 37832, 1308, 4979, 724, 220, 17, 19, 80544, 4368, 13536, 12032, 47008, 624, 28684, 372, 22589, 2746, 60176, 732, 730, 21558, 4730, 331, 13129, 1308, 4979, 724, 220, 17, 19, 80544, 330, 67, 2574, 13536, 12032, 1, 5267, 57, 372, 15462, 81616, 268, 9089, 11937, 8185, 377, 1952, 42678, 5186, 2986, 13368, 663, 1600, 1103, 2030, 506, 1580, 5652, 304, 77012, 81448, 713, 324, 461, 13, 16887, 6616, 22589, 11937, 10928, 4368, 69987, 582, 713, 12643, 13, 15515, 713, 25, 9236, 74247, 426, 9089, 4368, 69987, 5451, 2988, 30203, 50499, 56354, 2030, 5999, 8793, 18520, 30411, 426, 20521, 268, 13, 71474, 38684, 22589, 34542, 142675, 10928, 4368, 362, 441, 309, 941, 1197, 267, 40697, 13, 16887, 2694, 91304, 17917, 4368, 69987, 28831, 624, 65835, 2030, 13368, 52287, 15719, 10638, 2746, 60176, 7219, 81936, 21176, 5267, 38, 12070, 35323, 304, 18069, 896, 377, 6072, 2305, 799, 77, 668, 30166, 79788, 13, 2363, 1528, 282, 2391, 79788, 1531, 10928, 732, 2988, 2305, 21062, 7522, 668, 13, 47436, 2694, 422, 27097, 51528, 1531, 74054, 458, 11, 13368, 9971, 301, 136990 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24440, 74191, 13, 47436, 69987, 136990, 15719, 1531, 19349, 11, 14948, 9089, 1079, 91245, 268, 23963, 6616, 81448, 713, 324, 461, 71935, 99106, 20521, 4711, 13, 16887, 22075, 6569, 545, 305, 482, 766, 46646, 9089, 10928, 5016, 64864, 71211, 295, 13, 38747, 82197, 4928, 268, 2030, 451, 519, 13, 7281, 25, 35780, 4368, 13906, 57519, 12385, 57093, 69713, 2497, 8345, 529, 288, 81448, 713, 324, 461, 2497, 8345, 529, 288, 81448, 713, 324, 461, 458, 4748, 83, 25, 468, 13573, 610, 8641, 1353, 276, 435, 645, 7522, 2030, 95038, 305, 2210, 355, 20153, 1100, 16030, 11, 14948, 35951, 773, 24131, 645, 426, 13368, 1531, 19349, 50926, 624, 1654, 41846, 1032, 2986, 24151, 7180, 2055, 26824, 27298, 594, 10928, 7219, 31008, 94376, 89478, 20428, 21062, 2717, 65295, 35323, 8641, 304, 2694, 2055, 26824, 13431, 60273, 4443, 89478, 34481, 25, 35323, 11, 2714, 1626, 16053, 408, 198, 641, 17443, 47708, 9379, 33370, 37832, 1308, 4979, 724, 220, 17, 19, 80544, 5451, 2429, 68730, 47795, 2024, 1587, 4368, 13536, 12032, 47008, 624, 32, 13920, 2185, 25, 8408, 60054, 268, 524, 40308, 6395, 81415, 2030, 136990, 12583, 57123, 86, 13820, 13, 35780, 1531, 5699, 13977, 802, 2030, 1320, 30203, 7272, 17630, 66316, 74191, 18520, 136990, 2030, 81415, 13, 35780, 6616, 98863, 6817, 321, 55449, 28324, 4878, 25, 451, 19042, 11, 24440, 18599, 267, 28086, 1112, 151643, 52, 3096, 2863, 18563, 79374, 13431, 9160, 6222, 2172, 23455, 481, 81276, 0, 11840, 12495, 59019, 198, 57, 72, 1503, 632, 17980, 5379, 30262, 23959, 1612, 10140, 30585, 23080, 30585, 17258, 51, 11840, 12495, 826, 301, 34902, 7256, 39502, 24366, 730, 884, 337, 573, 5730, 325, 12836, 11705, 44391, 24990, 1579, 468, 7276, 275, 3017, 444, 6943, 730, 5205, 11567, 709, 8059, 15530, 8059, 15530, 7856, 52, 81276, 0, 11909, 44382, 81276, 0, 11909, 444, 5956, 81276, 0, 11909, 3240, 2305, 359, 28122, 8125, 5956, 81276, 0, 11909, 4636, 8059, 81276, 0, 11909, 3240, 2305, 359, 28122, 1121, 40054, 20404, 1241, 22385, 83234, 1881, 70334, 19544, 23076, 65608, 96783, 372, 91741, 32997, 362, 5381, 198, 52, 3096, 2863, 939, 30262, 79374, 13431, 9160, 6222, 2172, 23455, 198, 35641, 11687, 835, 6772, 45692, 2501, 1531, 53899, 3145, 458, 1365, 198, 34889, 2739, 6984, 6772, 74764, 5342, 25462, 0, 18563, 2694, 17152, 4894, 641, 2694, 28831, 21982, 220, 16, 19, 13, 6122, 14840, 16034, 220, 16, 20, 13, 6702, 220, 17, 15, 16, 24, 293, 45258, 16111, 2746, 16402, 19893, 304, 2694, 79374, 13431, 9160, 6222, 2172, 23455, 83769, 5566, 4443, 12, 2030, 9421, 13, 9236, 14821, 83630, 6772, 140370, 11, 36077, 6481, 261, 2030, 139906, 1365, 35323, 36077, 58459, 1194, 13, 15687, 15269, 49494, 55813, 14410, 848, 406, 19349, 4894, 47957, 275, 15687, 304, 2694, 65959, 64, 454, 71, 519, 8793, 7219, 11840, 811, 73197, 28698, 3091, 267, 11, 81687, 16111, 97703, 4368, 11, 44367, 38684, 16402, 530, 268, 304, 730, 80561, 6395, 77919, 510, 47699, 0, 11840, 12495, 59019, 11, 356, 1151, 963, 135786, 220, 20, 11, 730, 80561, 320, 45, 2305, 383, 3385, 57, 340, 47699, 0, 11840, 12495, 59019, 11, 71474, 79635, 1960, 74, 1121, 220, 16, 11, 730, 80561, 320, 26490, 642, 76147, 11, 2655, 791, 332, 340, 35, 39129, 5699, 268, 2712, 16111, 7180, 2746, 28831, 939, 65959, 11855, 4368, 40713, 1581, 1543, 16594, 89, 6433, 23959, 21835, 304, 2746, 62668, 267, 42759, 6739, 23959, 333, 74, 37473, 11, 1083, 16034, 79192, 330, 15216, 6556, 1, 14821, 330, 10159, 8658, 497, 330, 10159, 8658, 1, 14821, 330, 2403, 4120, 497, 330, 2403, 4120, 1, 14821, 330, 93809, 497, 330, 2403, 4120, 30585, 1, 14821, 330, 2120, 14768, 497, 601, 86, 624, 19957, 12304, 25462, 0, 10140, 730, 23118, 20048, 304, 50041, 89005, 4081, 276, 42469, 30262, 384, 40399, 61007, 12643, 320, 45702, 29288, 43, 568, 1674, 642, 6395, 1581, 68413, 16594, 89, 6433, 23959, 333, 2030, 38805, 28883, 25714, 1726, 285, 1365, 27941, 13256, 11, 12385, 5267, 70194, 15687, 17790, 70777, 33043, 11, 289, 10938, 97703, 342, 932, 458, 23898, 77634, 95285, 19207, 304, 3371, 25462, 0, 16402, 530, 268, 13, 58616, 14821, 883, 30094, 342, 932, 35276, 15141, 89, 10938, 20004, 74, 16074, 63319, 56500, 624, 6184, 10712, 77012, 794, 8666, 70, 559, 66238, 16111, 14047, 2429, 65959, 2863, 38805, 75590, 38574, 273, 40713, 5251, 2956, 28494, 51707, 13, 14235, 58065, 16111, 17790, 7219, 97703, 6395, 13, 15687, 65836, 97703, 37699, 28086, 3457, 10316, 0, 151643, 1427, 730, 7750, 6538, 1863, 7581, 1570, 35103, 9089, 4443, 42477, 265, 12063, 89452, 11595, 16034, 9089, 17392, 1644, 50656, 304, 2694, 136142, 624, 80593, 33312, 88487, 11, 2746, 7219, 14322, 590, 15671, 13279, 73360, 12, 2030, 46069, 343, 28122, 277, 50656, 7180, 18520, 74303, 22385, 274, 39563, 11, 40500, 6498, 529, 2746, 8907, 1704, 1991, 268, 3662, 52028, 2694, 73360, 86, 61811, 320, 37762, 73360, 8, 37699, 2746, 1527, 21062, 2649, 2185, 6538, 4443, 896, 4079, 1960, 94678, 627, 10157, 602, 268, 5451, 220, 20, 15, 78233, 2694, 40866, 11, 53129, 5451, 220, 20, 15, 15, 19461, 13, 12741, 12307, 59380, 380, 7180, 3360, 343, 25444, 1579, 1863, 7581, 1570, 8896, 5451, 3371, 70165, 500, 1587, 627, 268, 1863, 2537, 68876, 46668, 69342, 732, 15967, 3819, 13, 8408, 70165, 500, 1587, 627, 268, 66238, 9089, 17392, 15577, 10928, 13279, 96976, 17392, 1644, 50656, 2030, 13906, 60297, 24929, 11, 22075, 97144, 472, 90360, 91304, 17917, 12643, 13, 55448, 89423, 37400, 2030, 10230, 20048, 7219, 2429, 16821, 477, 668, 6969, 32863, 12643, 13, 45481, 9820, 7553, 1574, 70165, 3487, 15719, 1863, 2537, 22665, 41658, 304, 2694, 136142, 32175, 41101, 267, 2030, 19767, 40462, 14686, 268, 458, 2746, 22539, 66107, 38486, 12380, 883, 2956, 85, 461, 529, 12643, 13, 1863, 7581, 1570, 70165, 500, 1587, 627, 268, 27298, 1531, 304, 88687, 39292, 268, 25, 10712, 70165, 65, 21558, 811, 11, 2655, 642, 83598, 12, 2120, 1587, 627, 273, 2015, 12385, 42759, 12032, 423, 41137, 54102, 94678, 627, 83, 9995, 375, 13, 8495, 66238, 13279, 57803, 927, 2956, 12032, 14840, 6395, 220, 20, 11, 21, 15, 6212, 932, 9089, 17392, 15577, 2030, 141963, 24855, 61897, 20005, 74303, 22385, 13, 20060, 74354, 309, 5999, 2746, 11386, 383, 26141, 39848, 14033, 13279, 16742, 11, 25714, 71832, 2030, 84247, 11, 51939, 13279, 1863, 7581, 1570, 26949, 3818 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 84732, 2694, 74303, 22385, 2746, 57803, 325, 542, 449, 3591, 89, 9820, 56381, 30976, 273, 13, 70407, 36108, 65078, 10561, 2391, 28852, 1960, 27801, 2142, 355, 47008, 9089, 2746, 70165, 500, 1587, 627, 268, 5451, 37357, 6433, 8536, 901, 3092, 268, 53383, 48414, 2030, 10928, 3491, 2301, 304, 80378, 77200, 37400, 268, 85104, 45258, 13, 33328, 44340, 5999, 2694, 25714, 71832, 19767, 9820, 7357, 9179, 49662, 83801, 49241, 22157, 2714, 832, 17917, 13, 33328, 60297, 13279, 5362, 12, 2030, 467, 471, 28122, 277, 50656, 5999, 8725, 4368, 90796, 7272, 1634, 78881, 13, 96520, 28095, 76, 54988, 4937, 220, 23, 15, 45506, 64857, 87479, 6538, 1863, 7581, 1570, 7180, 141963, 5342, 98060, 2030, 74303, 22385, 13, 758, 72440, 47669, 730, 7750, 548, 90930, 17029, 6616, 61197, 4368, 4443, 42477, 40334, 288, 69342, 14906, 76, 11, 9421, 2429, 9089, 7180, 94572, 1527, 87227, 2185, 4368, 3360, 4500, 14033, 35103, 73741, 11, 6616, 141963, 5342, 74303, 22385, 5436, 649, 4865, 13, 151643, 75919, 36702, 6538, 8394, 10761, 760, 12408, 7946, 198, 48047, 3457, 10316, 6975, 25494, 11, 14948, 16111, 28095, 10928, 39771, 6538, 8394, 10761, 11, 77012, 80378, 386, 5503, 370, 2305, 372, 7522, 9421, 55190, 11, 93096, 17630, 27484, 70407, 2429, 49342, 53835, 16111, 53555, 393, 1489, 15141, 89, 7522, 11, 2746, 8641, 6395, 425, 2305, 27899, 1059, 276, 86, 70487, 56945, 13, 61043, 485, 8394, 10761, 5999, 1083, 48803, 6569, 318, 2718, 18520, 13, 16887, 12222, 40870, 24440, 1531, 18599, 267, 11, 8394, 10761, 5999, 6616, 220, 16, 15, 13, 425, 2305, 372, 7522, 6538, 7746, 11, 304, 2694, 294, 12153, 83141, 383, 89508, 35, 198, 19957, 10928, 13279, 7519, 17281, 685, 18060, 9089, 39771, 13, 38747, 20048, 16111, 95524, 53555, 1081, 2391, 811, 393, 1489, 276, 5679, 26956, 7995, 77, 13, 18069, 7519, 509, 329, 26833, 372, 14821, 4759, 14047, 5166, 93539, 26587, 14840, 6395, 220, 17, 15, 52539, 66723, 2030, 93096, 6395, 3371, 68730, 1371, 2375, 365, 31573, 11759, 13, 14235, 35141, 7519, 17281, 685, 72170, 17790, 4368, 293, 1038, 7522, 289, 70487, 13, 36574, 2746, 7519, 509, 329, 453, 1489, 276, 5679, 17837, 1960, 10712, 58052, 86, 2391, 331, 21339, 2030, 773, 20048, 16111, 83835, 28086, 47553, 26252, 39771, 4182, 1137, 10207, 28698, 27484, 151643, 76491, 1371, 45515, 1937, 34711, 2030, 45515, 48414, 11, 760, 22138, 277, 64321, 2576, 22097, 632, 68, 7180, 2746, 20795, 44, 7671, 59378, 56539, 343, 1960, 198, 623, 265, 1579, 29413, 11595, 11397, 198, 325, 275, 48614, 81616, 295, 9089, 6616, 35672, 1579, 385, 35541, 2694, 20795, 44, 15843, 337, 1937, 641, 12495, 1079, 9542, 331, 363, 15843, 79870, 372, 732, 30817, 320, 52, 7671, 1466, 16719, 1055, 3303, 81, 3389, 4509, 6138, 304, 2694, 32618, 301, 53382, 7219, 2429, 730, 79870, 28852, 90360, 13, 8408, 56815, 34271, 42603, 2694, 35346, 56539, 17246, 92182, 11, 3371, 25714, 71832, 939, 35672, 1579, 60931, 1127, 8793, 6395, 17324, 54749, 16030, 11, 26109, 48614, 8793, 304, 2746, 62467, 4443, 4188, 61007, 11, 572, 4368, 41663, 74063, 7180, 2746, 45515, 1937, 641, 12495, 5999, 624, 5830, 296, 39563, 34368, 15671, 35672, 1579, 10938, 5451, 141786, 6538, 45515, 1937, 641, 12495, 9421, 2694, 2739, 30180, 7671, 295, 7231, 1279, 901, 58498, 458, 2694, 4864, 12815, 2030, 2429, 11473, 1579, 85803, 68, 9820, 50790, 70, 20005, 35672, 1579, 29413, 2185, 624, 74909, 58065, 2746, 65733, 15795, 17519, 482, 2694, 81440, 510, 35, 3591, 46680, 25, 220, 16, 17, 25, 18, 15, 38183, 28523, 4443, 3371, 38580, 198, 44, 1442, 1126, 331, 25, 220, 24, 13, 15, 15, 38183, 16631, 36115, 132975, 939, 45464, 13785, 3371, 35672, 1579, 28789, 71225, 6222, 26862, 724, 11278, 11855, 137143, 365, 16754, 220, 17, 15, 15, 21, 5451, 2429, 46180, 6212, 541, 15843, 337, 48414, 134883, 8506, 258, 362, 7891, 5639, 198, 16, 16, 25, 18, 15, 38183, 1581, 87566, 268, 282, 21176, 16034, 1674, 2752, 1933, 39620, 265, 1579, 2030, 16034, 730, 79870, 372, 29311, 18841, 304, 3360, 6072, 11042, 198, 16, 23, 25, 18, 15, 38183, 12475, 25651, 939, 11473, 1579, 85803, 288, 732, 2739, 30180, 11278, 11855, 320, 306, 86, 7294, 19846, 261, 142418, 304, 2694, 64894, 2752, 5215, 4509, 13, 220, 18, 15, 12385, 46307, 423, 86, 61806, 6898, 70526, 1122, 68, 34581, 802, 220, 16, 15, 340, 36731, 94540, 25, 220, 16, 15, 38183, 28523, 6395, 422, 1854, 17562, 2030, 45444, 46, 46168, 6996, 59908, 304, 2746, 79374, 495, 624, 23950, 46680, 25, 35672, 1579, 6222, 14225, 12, 37361, 53383, 5451, 3371, 1674, 2752, 1933, 15843, 337, 1937, 641, 12495, 668, 220, 16, 22, 38183, 732, 65671, 730, 41227, 11, 2410, 278, 9160, 495, 13, 220, 24, 21, 304, 29618, 5197, 7725, 13, 12741, 30512, 1902, 331, 1854, 939, 2126, 134291, 440, 423, 4554, 87083, 14821, 17312, 35672, 1579, 29159, 57849, 38132, 74191, 624, 86819, 31915, 2391, 426, 468, 1387, 30632, 41557, 4443, 22138, 277, 36614, 799, 77131, 11595, 2030, 481, 9433, 33827, 13, 141196, 43243, 5183, 9089, 2746, 45515, 1937, 641, 12495, 13785, 595, 10523, 65501, 2823, 21561, 70668, 3457, 10316, 1365, 1083, 11, 22075, 35783, 5331, 24803, 11, 37471, 901, 89097, 11, 26349, 766, 59391, 1536, 2712, 406, 11, 2746, 13279, 3371, 35672, 1579, 19875, 7906, 723, 85885, 43243, 5183, 11, 24929, 978, 47631, 9911, 458, 2030, 70430, 295, 468, 1387, 0, 151643, 2082, 709, 6331, 66124, 25, 19833, 360, 4942, 60404, 5342, 320, 19617, 72, 23647, 8, 19833, 360, 4942, 773, 59380, 15897, 273, 1389, 10559, 60404, 5342, 2823, 709, 4905, 28122, 267, 14033, 1960, 98675, 7219, 431, 30875, 932, 13411, 2055, 89, 19893, 60404, 5342, 28275, 24950, 20542, 927, 321, 1859, 5363, 72, 23647, 1126, 71, 18759, 54708, 5363, 72, 23647, 37137, 1440, 2055, 59380, 91009, 10358, 5963, 9034, 60404, 267, 320, 19617, 72, 23647, 8, 2055, 59380, 20155, 268, 16629, 13977, 261, 32618, 351, 267, 16053, 19833, 50735, 465, 60404, 267, 320, 44, 724, 7522, 5451, 14612, 5744, 2185, 8, 2263, 63923, 29937, 5016, 6566, 267, 29898, 484, 50958, 28551, 64786, 2185, 16840, 2375, 13977, 1960, 320, 42, 5744, 5451, 14612, 5744, 2185, 8, 2055, 59380, 91009, 10358, 5963, 9034, 60404, 267, 320, 44, 724, 7522, 5451, 14612, 5744, 2185, 8, 52795, 383, 545, 320, 44, 724, 7522, 5451, 14612, 5744, 2185, 8, 19833, 50735, 465, 60404, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 320, 44, 724, 7522, 5451, 8671, 32708, 9740, 9855, 1180, 2185, 8, 2055, 59380, 91009, 10358, 5963, 1528, 60404, 5342, 320, 44, 724, 7522, 5451, 8671, 32708, 9740, 9855, 1180, 2185, 8, 52795, 383, 545, 320, 44, 724, 7522, 5451, 8671, 32708, 9740, 9855, 1180, 2185, 8, 28462, 3591, 6566, 440, 320, 42, 5744, 8, 1260, 321, 79, 30875, 54080, 16053, 12, 696, 26498, 10559, 18069, 36702, 2185, 320, 42, 5744, 8, 90167, 37137, 1440, 43999, 28551, 64786, 2185, 2055, 59380, 696, 26498, 10559, 350, 1134, 901, 89097, 52795, 383, 545, 320, 42, 5744, 8, 90167, 75323, 1859, 1674, 1960, 15897, 1937, 59378, 1111, 28462, 3591, 6566, 440, 320, 41, 768, 408, 8, 1260, 321, 79, 30875, 54080, 16053, 12, 696, 26498, 10559, 18069, 36702, 2185, 320, 41, 768, 408, 8, 90167, 37137, 1440, 90167, 58864, 2055, 59380, 696, 26498, 10559, 350, 1134, 901, 89097, 52795, 383, 545, 320, 41, 768, 408, 20005, 8, 1032, 71, 1370, 306, 10721, 10315, 57, 320, 20, 5477, 6703, 8, 23334, 54942, 285, 25, 220, 20, 13136, 220, 16, 15, 13136, 220, 20, 15, 13136, 220, 16, 15, 15, 13136, 220, 17, 15, 15, 13136, 220, 16, 15, 15, 15, 13136, 198, 14419, 46, 2590, 198, 50855, 12583, 12412, 510, 3479, 61065, 38981, 90940, 64732, 198, 1806, 82, 485, 10991, 92918, 7180, 198, 47095, 34711, 2030, 5363, 72, 23647, 198, 44, 724, 7522, 5451, 14612, 5744, 2185, 198, 44, 724, 7522, 5451, 8671, 32708, 9740, 9855, 1180, 2185, 198, 42, 5744, 198, 41, 768, 408, 20005, 2030, 63657, 9740, 86, 86873, 1952, 198, 42, 5744, 2030, 63657, 42786, 5451, 83758, 3667, 9740, 9855, 1180, 2185, 198, 86819, 9421, 86, 85242, 47095, 34711, 2030, 5363, 72, 23647, 44, 724, 7522, 5451, 14612, 5744, 2185, 44, 724, 7522, 5451, 8671, 32708, 9740, 9855, 1180, 2185, 42, 5744, 41, 768, 408, 20005, 2030, 63657, 9740, 86, 86873, 1952, 42, 5744, 2030, 63657, 42786, 5451, 83758, 3667, 9740, 9855, 1180, 2185, 198, 18175, 362, 22681, 304, 11461, 268, 198, 3430, 89, 404, 2787, 423, 7053, 11461, 268, 198, 38, 59378, 37347, 198, 18175, 29618, 285, 22328, 90360, 2694, 362, 22681, 11461, 268, 198, 4106, 351, 16030, 304, 2694, 362, 22681, 198, 14419, 46, 143562, 198, 54370, 45288, 291, 12643, 198, 42, 544, 9913, 198, 40667, 198, 623, 15671, 844, 92918, 198, 32, 24343, 695, 2185, 304, 2694, 42068, 4757, 198, 40667, 304, 2694, 42068, 4757, 198, 36731, 72, 14387, 51663, 2055, 89, 32788, 37419, 609, 46307, 97369, 14387, 343, 408, 3591, 267, 198, 35641, 11687, 26956, 261, 7964, 4894, 86819, 9421, 86, 85242, 3430, 89, 404, 2787, 423, 7053, 11461, 268, 38, 59378, 37347, 18175, 29618, 285, 22328, 90360, 2694, 362, 22681, 11461, 268, 4106, 351, 16030, 304, 2694, 362, 22681, 14419, 46, 143562, 54370, 45288, 291, 12643, 42, 544, 9913, 623, 15671, 844, 92918, 32, 24343, 695, 2185, 304, 2694, 42068, 4757, 40667, 304, 2694, 42068, 4757, 36731, 72, 14387, 51663, 2055, 89, 32788, 37419, 609, 46307, 97369, 14387, 343, 408, 3591, 267, 35641, 11687, 26956, 261, 7964, 4894, 75919, 36702, 268, 9421, 6250, 7053, 2030, 18069, 36702, 11595, 198, 90940, 64732, 198, 5632, 77, 14047, 730, 37473, 25, 12448, 42161, 12448, 14373, 25, 362, 22681, 11461, 268, 7577, 72, 14387, 7256, 320, 672, 78, 1455, 21140, 8, 14373, 25, 362, 22681, 44492, 2185, 14357, 306, 10721, 12475, 1960, 75858, 320, 672, 78, 1455, 21140, 8, 14373, 25, 90167, 20005, 2030, 63657, 9740, 86, 86873, 1952, 14373, 25, 43999, 320, 672, 78, 1455, 21140, 8, 14373, 25, 42786, 5451, 17058, 14612, 5744, 2185, 320, 672, 78, 1455, 21140, 8, 14373, 25, 42786, 5451, 8671, 32708, 9740, 9855, 1180, 2185, 320, 672, 78, 1455, 21140, 8, 14373, 25, 1032, 4223, 15843, 79870, 32895, 277, 16676, 71, 2956, 383, 320, 672, 78, 1455, 21140, 8, 14373, 25, 5363, 72, 23647, 320, 672, 78, 1455, 21140, 8, 14373, 25, 6250, 7053, 320, 672, 78, 1455, 21140, 340, 14373, 25, 362, 22681, 5363, 72, 23647, 37137, 10721, 87724, 3591, 28736, 320, 19617, 72, 23647, 340, 14367, 325, 1763, 55632, 2185, 481, 11426, 11461, 268, 481, 467, 2391, 3342, 870, 7725, 198, 47, 7012, 925, 18330, 2446, 1715, 60002, 609, 77, 1279, 9338, 896, 2015, 56027, 220, 15, 22, 13, 15, 19, 13, 17, 15, 17, 15, 198, 14373, 25, 362, 22681, 34935, 7276, 473, 1536, 6222, 331, 360, 15314, 47572, 320, 44, 724, 7522, 5451, 14612, 5744, 2185, 340, 2623, 13464, 28551, 64786, 2185, 198, 76491, 1371, 3984, 4160, 11, 44367, 18069, 36702, 2185, 5999, 41488, 220, 16, 21, 13, 15, 18, 13, 17, 15, 17, 15, 7219, 59785, 2694, 1527, 539, 2185, 939, 11426, 288, 11461, 268, 12, 467, 2391, 3342, 870, 7725, 25620, 76166, 13, 55448, 304, 3371, 506, 3667, 802, 3591, 5999, 9820, 2806, 13464, 28551, 64786, 2185, 7180, 9338, 896, 2015, 56027, 220, 15, 21, 13, 15, 19, 13, 17, 15, 17, 15, 198, 14373, 25, 362, 22681, 5363, 72, 23647, 37137, 10721, 3303, 794, 329, 790, 838, 320, 19617, 72, 23647, 340, 2623, 52549, 2714, 33339, 16053, 12, 506, 3667, 2203, 7180, 2746, 21491, 65, 15795, 198, 30416, 11937, 88028, 7219, 59785, 2694, 97268, 68378, 1962, 10453, 62785, 18078, 33827, 13785, 65435, 932, 50837, 12583, 11, 33661, 44367, 13017, 64786, 28122, 395, 18128, 258, 45893, 730, 4775, 7219, 2746, 13804, 68, 11, 5451, 66482, 37210, 2267, 1194, 9, 34711, 34542, 709, 28011, 301, 665, 9338, 896, 2015, 56027, 220, 15, 18, 13, 15, 19, 13, 17, 15, 17, 15, 198, 14373, 25, 362, 22681, 5363, 72, 23647, 37137, 10721, 65455, 72, 97528, 2636, 12, 1519, 318, 320, 19617, 72, 23647, 340, 66188, 17108, 11, 53672, 12487, 18060, 12236, 1112, 12222, 582, 71, 11, 22075, 2714, 55813, 2994, 22539, 65935, 68573, 13, 78021, 18520, 10712, 5016, 811, 485, 4370, 2030, 67179, 331, 1411, 84642, 647, 70551, 7522, 41220, 8793, 1147, 590, 22925, 13, 12166, 1296, 38809, 97476, 13820, 2714, 9089, 28789, 2869, 21558, 2718, 458, 11, 4443, 5451, 58442, 74354, 373, 328, 1777, 9338, 896, 2015, 56027, 220, 15, 17, 13, 15, 19, 13, 17, 15, 17, 15, 198, 14373, 25, 362, 22681, 5363, 72, 23647, 37137, 10721, 20644, 27097, 1933, 320, 19617, 72, 23647, 340, 48047, 95723, 53383, 4894, 87876 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 56381, 82557, 355, 87227, 2185, 25, 19000, 22318, 29937, 18078, 53152, 423, 6331, 11, 4443, 44367, 37210, 2267, 1194, 34711, 2030, 37210, 2267, 1194, 13906, 17058, 1527, 5342, 377, 2185, 5451, 2429, 60229, 19625, 16972, 6395, 5699, 28658, 5679, 11, 5999, 31357, 512, 37347, 68378, 481, 57465, 39337, 7180, 2746, 9338, 896, 2015, 56027, 220, 15, 17, 13, 15, 19, 13, 17, 15, 17, 15, 198, 14373, 25, 362, 22681, 5363, 72, 23647, 37137, 10721, 87724, 3591, 28736, 320, 19617, 72, 23647, 340, 14419, 46, 88128, 37633, 87724, 3591, 28736, 198, 623, 2956, 76712, 8495, 304, 77012, 47669, 88128, 37633, 87724, 3591, 28736, 13, 18069, 58459, 1194, 28831, 1621, 38013, 304, 9919, 14668, 6538, 60229, 13, 3578, 55248, 12412, 1059, 29159, 88551, 624, 896, 2015, 56027, 220, 15, 16, 13, 15, 19, 13, 17, 15, 17, 15, 198, 14373, 25, 362, 22681, 5363, 72, 23647, 37137, 10721, 65455, 72, 97528, 2636, 12, 1519, 318, 320, 19617, 72, 23647, 340, 70194, 2694, 2869, 21558, 2718, 6975, 1147, 360, 15938, 12236, 1112, 24929, 3457, 10316, 9089, 71765, 2746, 2502, 27899, 13, 23980, 288, 4179, 665, 1374, 25892, 277, 9421, 16402, 89, 1081, 134215, 83, 2746, 9970, 54834, 304, 2694, 6452, 89, 135786, 13, 25714, 17058, 28275, 2257, 2024, 2391, 665, 12583, 71765, 62702, 467, 66107, 1528, 458, 2746, 33328, 48985, 94873, 19875, 537, 17029, 13, 38747, 5999, 1112, 151643, 77, 610, 2429, 10638, 28086, 41983, 46872, 732, 2739, 71, 29802, 1517, 285, 6395, 88787, 11596, 27684, 21176, 9544, 11, 2030, 8652, 2241, 77, 25531, 308, 28658, 89, 37633, 11552, 1690, 3893, 42316, 17630, 11, 6395, 8641, 10638, 48803, 85580, 89, 2660, 331, 9544, 51290, 62788, 34685, 24803, 11, 9544, 10638, 37699, 12412, 17837, 437, 295, 2030, 13279, 17443, 66555, 198, 1241, 10638, 35141, 73689, 6616, 5999, 66793, 4368, 505, 354, 7219, 57184, 8166, 607, 64, 26824, 2030, 68876, 41235, 4399, 2503, 566, 383, 198, 704, 6616, 4116, 1531, 34368, 14649, 6538, 8652, 11, 305, 1847, 68, 24440, 41488, 4081, 11855, 78, 51327, 3848, 61286, 275, 13368, 304, 3371, 84701, 323, 932, 2241, 77, 320, 33297, 56530, 27298, 1531, 25531, 58319, 2746, 5699, 60322, 549, 3318, 32997, 2746, 77654, 873, 9101, 440, 458, 26769, 732, 348, 6215, 355, 19104, 2694, 2656, 68573, 8652, 24929, 10246, 652, 51939, 10638, 77654, 34368, 2030, 5699, 265, 23549, 24929, 572, 198, 31, 1180, 81, 4527, 549, 6616, 42759, 3342, 9089, 40157, 17859, 458, 198, 83, 332, 10928, 2746, 2922, 75, 10559, 9814, 81804, 645, 30, 65836, 3845, 8652, 51939, 9820, 2551, 6538, 17443, 3986, 817, 8072, 1147, 3101, 46646, 47008, 30, 9101, 440, 4726, 25, 33700, 7845, 10638, 2746, 259, 424, 8641, 198, 383, 383, 1083, 220, 16, 32, 16, 40870, 15719, 55928, 6853, 1268, 261, 572, 458, 42477, 268, 30, 51939, 2746, 3041, 1371, 82207, 10638, 7364, 8793, 8641, 773, 84187, 13920, 198, 5580, 2694, 2922, 75, 10559, 9814, 259, 6128, 2770, 64, 3760, 10928, 11, 305, 2863, 12754, 1777, 2994, 54383, 94919, 829, 87262, 1126, 320, 318, 2614, 3104, 541, 2694, 29003, 12063, 13368, 7219, 409, 68413, 9421, 73869, 151643, 53, 316, 20404, 42189, 2694, 42786, 2030, 70264, 1923, 336, 481, 467, 2749, 51, 198, 53, 316, 20404, 42189, 2694, 42786, 2030, 70264, 1923, 336, 198, 53, 263, 11959, 2577, 48682, 54956, 760, 6250, 91712, 37633, 1079, 220, 16, 15, 13, 15, 17, 13, 17, 15, 15, 15, 760, 11615, 291, 27097, 25, 220, 19, 80624, 198, 37326, 15017, 370, 544, 82, 330, 785, 7840, 38597, 497, 2694, 72170, 37228, 80587, 1942, 408, 5342, 16631, 34699, 2746, 350, 2539, 495, 5645, 198, 623, 64, 1862, 140600, 25423, 25151, 23185, 18634, 11, 28874, 11, 220, 16, 24, 18, 20, 13, 1674, 642, 39264, 59228, 22539, 2267, 42469, 34417, 7219, 2429, 58583, 15111, 9913, 11, 2694, 7840, 38597, 13, 9236, 12583, 8793, 12304, 1863, 15671, 9057, 61007, 481, 2030, 9820, 14821, 47553, 83423, 25, 1644, 2892, 425, 3248, 65, 1942, 8896, 59228, 49633, 36702, 2185, 16892, 823, 2636, 75, 57984, 624, 80593, 3371, 467, 13977, 465, 6898, 10349, 21873, 320, 24732, 472, 4039, 8, 2030, 38897, 57519, 58442, 21506, 41137, 1960, 45515, 48414, 3161, 406, 11, 26252, 54459, 11, 9820, 28831, 74539, 465, 1527, 66423, 968, 11595, 13, 9236, 69499, 8793, 12222, 11, 2746, 10489, 65, 20005, 27914, 383, 7219, 2694, 7840, 38597, 6395, 26956, 21176, 11, 51290, 10928, 11, 425, 3248, 2313, 5016, 54913, 7180, 5016, 54913, 7219, 19349, 68917, 288, 51292, 39307, 3371, 320, 258, 17058, 3680, 41137, 74, 66599, 21506, 709, 1323, 53776, 16315, 62788, 376, 17739, 794, 95174, 7180, 38897, 6250, 66671, 13906, 89, 392, 485, 14668, 11, 40870, 2746, 49633, 36702, 2185, 56354, 89, 11706, 12643, 15719, 624, 53750, 22079, 70251, 396, 9089, 7180, 82, 9740, 5342, 8793, 76133, 11759, 6395, 47008, 25, 2746, 1527, 86, 65935, 22385, 36108, 96120, 25061, 467, 2305, 3342, 388, 11, 74686, 44856, 6384, 320, 91576, 59687, 3335, 701, 36108, 21864, 21673, 30681, 37122, 11, 3371, 883, 28086, 96976, 267, 6538, 36744, 3877, 268, 82195, 406, 95035, 11, 68573, 2714, 8793, 2694, 4182, 27969, 939, 479, 14826, 811, 1723, 13, 44856, 6384, 357, 51817, 357, 130337, 6616, 855, 74, 46686, 6250, 71, 29802, 1517, 285, 47226, 3371, 6250, 324, 55632, 1960, 2030, 52716, 13070, 74, 932, 624, 641, 23185, 18634, 12583, 143525, 2746, 467, 31573, 465, 939, 58583, 15111, 585, 2576, 55248, 97973, 6616, 49633, 36702, 2185, 46590, 11, 2746, 6250, 324, 55632, 1960, 17630, 1083, 357, 130337, 34749, 386, 9416, 1107, 13906, 4928, 268, 13, 10349, 21873, 2030, 38897, 1967, 1070, 2770, 43506, 268, 12304, 458, 2746, 1032, 331, 13730, 68947, 50499, 2694, 350, 2539, 495, 5645, 13, 74303, 11, 42786, 6395, 63573, 1960, 11, 5999, 11316, 74764, 11, 2030, 48803, 336, 6538, 74021, 27684, 78120, 1531, 11, 40157, 77016, 35141, 1531, 11937, 37896, 624, 80515, 328, 4865, 2694, 422, 17707, 12709, 303, 529, 9089, 11, 10712, 883, 3757, 75133, 1195, 320, 25516, 42555, 41309, 701, 15462, 81828, 5679, 68885, 277, 72964, 6538, 4937, 40462, 52539, 24396, 12070, 343, 11, 7219, 2694, 7840, 38597, 4368, 75, 4738, 529, 13, 9236, 3161, 406, 9820, 28831, 2694, 9919, 28324, 2030, 467, 7995, 11, 2030, 2694, 9740, 2712, 406, 77, 15398, 25, 21982, 91513, 31722, 47226, 20404, 42189, 2030, 1032, 13920, 11, 6538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2694, 61809, 16597, 2694, 95151, 1021, 2030, 2694, 92707, 8666, 25151, 39307, 21982, 36376, 268, 2694, 28831, 624, 37326, 15017, 370, 544, 82, 72943, 4079, 2185, 2280, 5186, 44861, 752, 1571, 20005, 18095, 15843, 287, 12, 2589, 10162, 330, 785, 7840, 38597, 1, 387, 709, 426, 8793, 38850, 301, 7964, 91265, 11, 3371, 4937, 12304, 96185, 16034, 61150, 350, 2539, 495, 5645, 37896, 13, 9740, 5693, 17029, 8793, 5699, 37633, 25769, 6772, 68995, 380, 16053, 481, 13368, 77556, 9354, 87215, 6, 72170, 2660, 258, 1659, 330, 28320, 2363, 39055, 1, 320, 16, 24, 24, 20, 8, 85922, 51290, 22539, 73233, 1728, 26824, 330, 332, 453, 16053, 312, 54327, 20491, 266, 6772, 3263, 15017, 370, 544, 39264, 1531, 8793, 15269, 372, 6395, 85239, 11, 14948, 2746, 350, 2539, 495, 5645, 84187, 13920, 2030, 98171, 325, 11, 51290, 14948, 9911, 31932, 331, 5999, 624, 80515, 13818, 367, 3161, 406, 5451, 17443, 25771, 13, 42079, 40462, 2694, 57519, 304, 2429, 16631, 472, 5137, 4865, 33748, 36408, 21519, 3342, 883, 11316, 11, 289, 1055, 5186, 9911, 83880, 2739, 324, 665, 2963, 47650, 481, 2694, 294, 98280, 2030, 49765, 665, 5699, 83090, 5999, 6975, 331, 36568, 343, 13, 78021, 2994, 8896, 9089, 2694, 16631, 28086, 85117, 13785, 3371, 11097, 2142, 355, 59801, 674, 268, 11, 2994, 39264, 1531, 96976, 267, 8793, 18520, 4443, 70777, 13368, 2746, 69590, 94213, 88185, 6538, 4599, 449, 404, 3342, 48521, 932, 11, 51290, 4443, 70264, 1923, 288, 11, 143525, 11, 4116, 372, 9089, 2694, 6538, 42786, 16540, 3696, 1963, 13820, 794, 38267, 8793, 1079, 55397, 53936, 136458, 37801, 265, 55339, 87231, 13, 4509, 37667, 6070, 529, 14821, 46668, 65010, 380, 22157, 58864, 19767, 57519, 49633, 36702, 11595, 481, 2030, 57519, 467, 7995, 11, 56354, 85426, 6538, 3757, 75133, 1195, 11, 2694, 1863, 2391, 709, 939, 1260, 321, 6433, 24986, 355, 11, 10588, 2030, 36108, 647, 73401, 9299, 461, 75702, 304, 9089, 72943, 396, 624, 18175, 61217, 49633, 36702, 2185, 77509, 11, 13368, 1531, 732, 330, 74244, 3104, 541, 1, 1187, 28421, 50926, 25, 12741, 7313, 258, 16769, 5999, 88748, 34966, 11, 2746, 1298, 15905, 324, 30005, 89131, 2770, 1587, 320, 1241, 5999, 28086, 5699, 4659, 76, 4081, 768, 568, 19000, 61217, 467, 7995, 8896, 51939, 10928, 39771, 4937, 81574, 86957, 25, 75133, 1195, 387, 24716, 275, 10349, 21873, 5451, 17443, 3893, 64177, 1960, 27794, 6538, 17443, 8867, 28480, 268, 1298, 267, 459, 273, 12487, 624, 83953, 72440, 54936, 14668, 467, 7995, 27298, 75133, 1195, 2694, 58583, 15111, 9913, 5655, 6433, 268, 47375, 1728, 355, 4392, 13, 619, 49603, 6616, 55397, 26252, 11, 14047, 27431, 44856, 6384, 9911, 304, 17058, 53936, 4929, 359, 268, 76178, 376, 1121, 3818, 8896, 13, 8408, 54936, 632, 49633, 36702, 2185, 77509, 11, 4116, 372, 2746, 350, 2539, 495, 5645, 7219, 17058, 3738, 380, 17739, 69028, 8793, 6395, 5198, 85885, 5999, 25, 8495, 14821, 26956, 355, 267, 60958, 17029, 481, 431, 1777, 3999, 85922, 9911, 88280, 529, 650, 408, 6772, 52287, 11, 2694, 23276, 331, 18607, 1440, 406, 1031, 331, 132684, 65, 6772, 304, 2429, 794, 95174, 13, 16887, 3184, 73508, 15017, 370, 544, 305, 41203, 44096, 1704, 25, 2363, 5999, 11, 13368, 2746, 467, 13977, 465, 2030, 9919, 68989, 11, 16034, 1345, 12032, 2739, 15408, 2501, 624, 57, 84, 53835, 5999, 19104, 10928, 11, 14948, 82664, 12222, 17058, 54831, 11, 12304, 38684, 19104, 1257, 554, 5840, 5451, 2739, 69046, 6772, 12583, 7180, 46668, 9167, 4407, 13, 23334, 3371, 98157, 2694, 42864, 8793, 6395, 2739, 1149, 89, 1960, 11, 1411, 4865, 10349, 21873, 2746, 49633, 36702, 2185, 8793, 668, 11, 1508, 1126, 17958, 2714, 1531, 48323, 263, 406, 95035, 624, 83953, 72440, 294, 12153, 467, 7995, 5699, 83090, 2112, 72442, 3757, 75133, 1195, 18520, 485, 42786, 273, 7964, 13, 29618, 1064, 12643, 25620, 76166, 11, 6616, 85227, 265, 20404, 42189, 289, 93908, 11, 2746, 42786, 20048, 8725, 12222, 17790, 289, 15113, 37060, 13, 43997, 24929, 2746, 294, 98280, 49633, 36702, 2185, 51528, 11, 8896, 883, 342, 7865, 406, 11, 14948, 2694, 23276, 331, 2746, 44966, 12222, 14198, 17029, 11, 60637, 8793, 13785, 9911, 2739, 30166, 5178, 26, 14948, 2746, 20404, 295, 2986, 2694, 42786, 12222, 72077, 367, 268, 2694, 9911, 4443, 42153, 19875, 44966, 12583, 2030, 14948, 6616, 1032, 13920, 2694, 42786, 6616, 20404, 42189, 50041, 1345, 1330, 2030, 467, 14348, 724, 12222, 63573, 1960, 15719, 13, 151643, 16, 65316, 220, 24, 481, 479, 1070, 80072, 29445, 301, 3504, 16947, 5475, 198, 18175, 37210, 2267, 1194, 8403, 355, 1574, 1011, 14047, 2694, 59214, 1020, 2185, 198, 16, 2055, 26109, 38805, 6778, 14047, 59228, 328, 573, 2752, 2714, 14847, 267, 2030, 732, 61169, 21673, 6250, 50591, 25151, 2694, 141774, 7256, 6538, 6778, 7219, 45061, 73461, 13, 1205, 321, 2746, 37210, 2267, 1194, 939, 141775, 40334, 82, 57461, 9089, 6538, 68009, 668, 37285, 437, 83, 83572, 11, 47650, 9911, 14047, 63578, 3591, 304, 2746, 59214, 1020, 2185, 27684, 21558, 3342, 624, 17, 8408, 9740, 15795, 11, 2746, 6538, 52434, 49503, 81112, 1960, 2030, 9089, 26252, 7219, 71017, 9740, 6066, 288, 11042, 304, 57461, 8099, 1122, 301, 1960, 11, 43303, 1967, 1070, 9421, 2429, 42514, 39307, 27785, 5191, 11, 27022, 14668, 2030, 19944, 783, 72, 798, 624, 10722, 89, 81, 220, 17, 25, 16, 26, 4182, 220, 22, 25, 21, 340, 18, 16354, 1127, 10246, 26824, 9089, 304, 25445, 9443, 58773, 1967, 1070, 9421, 3371, 794, 2305, 3821, 268, 57461, 11, 29311, 11, 468, 42289, 37572, 76, 2030, 2363, 13256, 308, 22181, 510, 19, 20004, 2429, 794, 8666, 57461, 25, 17139, 2143, 11, 2694, 2055, 24134, 3303, 76, 6996, 27988, 26, 2714, 357, 309, 2501, 13785, 18603, 461, 11, 2362, 461, 2030, 425, 5559, 6538, 11213, 300, 2055, 24134, 49365, 668, 280, 20, 6538, 3371, 28275, 42789, 6538, 11213, 300, 2055, 24134, 5016, 8294, 25, 1634, 19042, 11, 2694, 9740, 267, 42153, 460, 811, 11, 16, 2030, 38897, 328, 84251, 811, 280, 21, 6538, 3371, 28275, 42789, 6538, 11213, 300, 2055, 24134, 8245, 610, 25, 619, 12179, 84, 73453, 13, 76604, 5451, 52716, 3240, 2391, 67, 932, 43303, 1531, 220, 21, 24, 15, 624, 22, 20004, 2429, 794, 8666, 29311, 25, 328, 541, 84, 11, 2694, 2055, 24134, 35584, 331, 617, 4122, 26, 38897, 30632, 268, 647, 32842, 21176, 43303, 50934, 672, 5580 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2030, 328, 1481, 64, 280, 23, 619, 579, 811, 5580, 11, 2694, 2055, 24134, 8403, 2267, 4122, 26, 3984, 64, 11, 2694, 2055, 24134, 6538, 3985, 72, 2030, 2925, 17659, 6538, 5271, 461, 26, 35584, 331, 617, 309, 11, 2694, 2055, 24134, 6538, 5016, 823, 266, 5580, 26, 38897, 30632, 268, 647, 32842, 21176, 43303, 3184, 84, 73453, 2030, 619, 579, 77, 28130, 624, 24, 76604, 5451, 52716, 3240, 2391, 67, 932, 2030, 14047, 52716, 328, 573, 2752, 43303, 1531, 220, 24, 20, 21, 328, 573, 2752, 5923, 127533, 7564, 261, 624, 16, 15, 42079, 3371, 48903, 932, 25, 65132, 19042, 11, 10946, 19033, 579, 11, 619, 610, 258, 280, 16, 16, 1634, 277, 5580, 11, 2694, 2055, 24134, 6538, 472, 33163, 28130, 11, 6616, 51145, 71, 51898, 939, 19944, 2010, 26, 38897, 30632, 268, 647, 32842, 21176, 43303, 35584, 331, 617, 309, 11, 1863, 329, 562, 11, 8755, 1630, 354, 2030, 16366, 275, 392, 280, 16, 17, 2410, 19042, 11, 2694, 2055, 24134, 8403, 2267, 4122, 26, 38897, 30632, 268, 647, 32842, 21176, 43303, 24010, 331, 71, 324, 2030, 97891, 28130, 26, 19868, 2143, 11, 2694, 2055, 24134, 2410, 127180, 4730, 26, 38897, 30632, 268, 647, 32842, 21176, 43303, 619, 610, 799, 64, 11, 35584, 331, 617, 309, 11, 35584, 331, 321, 3433, 354, 2030, 2362, 1174, 624, 16, 18, 76604, 5451, 52716, 3240, 2391, 67, 932, 43303, 1531, 220, 16, 22, 21, 15, 328, 573, 2752, 5923, 127533, 7564, 261, 11, 12304, 56946, 21519, 17917, 16034, 60404, 267, 732, 47375, 479, 48253, 624, 16, 19, 42079, 3371, 27022, 14668, 25, 328, 2407, 19042, 6538, 2694, 2825, 58498, 8755, 2780, 11, 38897, 647, 32842, 21176, 43303, 11443, 331, 392, 11, 1634, 20411, 309, 2030, 11443, 331, 370, 5580, 280, 16, 20, 35669, 69822, 277, 11, 6252, 59378, 11, 10620, 278, 2030, 13374, 93951, 11, 2694, 2055, 24134, 6538, 69920, 2030, 2925, 17659, 6538, 328, 713, 461, 11, 17443, 28275, 42789, 1634, 71498, 280, 16, 21, 3680, 3235, 11, 2694, 2055, 24134, 6538, 5016, 8666, 4284, 2030, 2925, 17659, 6538, 10620, 278, 11, 4368, 28275, 22097, 2660, 65132, 332, 10862, 26, 43157, 331, 5580, 11, 2694, 2055, 24134, 6538, 1634, 64, 2030, 2925, 17659, 6538, 87606, 3362, 11, 2694, 98877, 1923, 304, 3371, 328, 1122, 75, 11595, 6538, 9374, 1055, 64, 22539, 2267, 406, 42668, 624, 16, 22, 422, 39129, 2746, 8444, 86, 31573, 465, 25, 5016, 541, 372, 11, 16358, 74, 392, 11, 17589, 1645, 2030, 16366, 39210, 13, 35783, 51145, 71, 51898, 4116, 5016, 541, 372, 624, 16, 23, 1345, 482, 328, 573, 375, 26956, 15938, 14840, 16034, 566, 332, 6433, 12353, 6616, 141775, 47365, 7219, 2694, 65435, 61065, 13, 38472, 647, 32842, 21176, 17, 43303, 28789, 76716, 19767, 2746, 467, 2391, 5342, 2746, 8444, 86, 31573, 465, 732, 84758, 2694, 27022, 14668, 22539, 65935, 624, 16, 24, 55448, 3371, 60404, 267, 10712, 467, 31573, 465, 1079, 468, 287, 524, 939, 1260, 321, 6433, 1863, 301, 2338, 5436, 1466, 268, 5016, 541, 372, 2030, 2746, 98376, 53936, 328, 573, 375, 11, 64774, 2501, 6772, 28275, 42789, 35070, 86873, 26, 5016, 541, 372, 357, 8666, 665, 13785, 8062, 2030, 3680, 3473, 2577, 6538, 35070, 610, 668, 13, 38472, 647, 32842, 21176, 83572, 304, 2694, 467, 2391, 5342, 3371, 468, 287, 524, 16034, 84758, 939, 42250, 77, 26956, 15938, 280, 17, 15, 17471, 4648, 11, 2694, 2055, 24134, 25949, 300, 1561, 11, 4116, 24440, 51145, 71, 51898, 22539, 65935, 1365, 2694, 42250, 342, 14134, 440, 53936, 0, 18, 198, 17, 16, 1345, 1762, 5580, 11, 2694, 2055, 24134, 6538, 35584, 1528, 3433, 5580, 11, 4116, 8444, 71, 2391, 465, 1079, 468, 287, 524, 939, 1260, 321, 6433, 1863, 301, 2338, 624, 17, 17, 758, 1991, 288, 35225, 43303, 1531, 220, 17, 16, 17, 11, 2746, 6395, 8444, 86, 31573, 4160, 9421, 37285, 83049, 30179, 43303, 13, 8408, 8444, 86, 31573, 465, 43303, 304, 52716, 422, 9416, 78733, 304, 6616, 328, 573, 2752, 423, 50591, 25151, 48376, 295, 56364, 30179, 26, 6798, 2030, 2694, 36628, 31907, 83572, 9911, 304, 24440, 362, 2501, 384, 40399, 61007, 624, 17, 18, 8495, 2030, 34749, 328, 84251, 811, 2498, 268, 467, 1777, 458, 3371, 468, 287, 524, 4314, 77, 16034, 1260, 321, 6433, 1863, 3818, 2030, 87791, 16034, 19944, 301, 939, 42250, 77, 624, 17, 19, 8408, 467, 45699, 43303, 14047, 3371, 57093, 472, 12543, 2010, 36702, 11595, 7219, 6969, 32863, 11, 14047, 506, 15795, 11, 4312, 268, 11, 451, 27784, 2030, 77549, 5183, 624, 17, 20, 8408, 98376, 289, 2267, 42469, 304, 52716, 422, 9416, 78733, 2030, 3091, 15795, 16868, 68, 8669, 7180, 9911, 7964, 71177, 16034, 60404, 267, 54395, 1528, 16676, 11, 22075, 9911, 458, 2694, 83141, 383, 43303, 624, 17, 21, 56231, 2746, 57093, 91245, 15795, 467, 31573, 465, 11, 10928, 9911, 27022, 14668, 11, 43303, 357, 130337, 732, 60404, 267, 13, 60082, 52716, 25714, 83543, 29695, 9416, 665, 2746, 25714, 82, 4865, 13785, 2746, 647, 17391, 1862, 141292, 2030, 2746, 5016, 20175, 74, 8666, 932, 939, 19944, 2010, 624, 17, 22, 8495, 1501, 645, 7964, 10928, 13785, 98359, 732, 19944, 301, 61286, 713, 11, 51939, 9911, 3091, 15795, 467, 1777, 95723, 2030, 53165, 386, 39563, 2746, 350, 460, 7219, 138664, 624, 17, 23, 1597, 485, 27022, 14668, 43303, 2739, 69046, 6772, 7180, 2746, 19929, 2305, 665, 11, 2746, 28789, 479, 48253, 67, 3591, 267, 29167, 956, 32030, 47650, 13, 8495, 489, 68989, 9911, 668, 709, 89, 83049, 305, 482, 258, 2030, 14047, 44336, 956, 1387, 26252, 305, 2210, 355, 624, 17, 24, 467, 22181, 32936, 43303, 1147, 590, 130337, 7180, 2746, 95243, 6433, 19929, 2305, 665, 2030, 566, 321, 6433, 55857, 2305, 23455, 2030, 2739, 69046, 6772, 7180, 6616, 2157, 17958, 11, 3371, 70513, 11, 6616, 11959, 2071, 49802, 11, 3371, 1205, 6996, 956, 1387, 2030, 2746, 15687, 723, 79956, 68, 7180, 6616, 8211, 65, 49802, 624, 18, 15, 8408, 6252, 54377, 939, 8211, 135514, 4730, 9421, 50435, 794, 1847, 268, 4116, 60637, 25714, 61229, 2694, 27785, 5191, 624, 18, 16, 12741, 27022, 275, 13374, 275, 5580, 11, 2694, 34368, 42153, 460, 811, 2055, 24134, 939, 35070, 610, 77, 610, 42789, 5016, 541, 372, 11, 42668, 357, 130337, 67952, 6395, 274, 39563, 11, 14948, 6616 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6841, 58864, 7180, 2746, 12307, 1064, 453, 802, 1059, 6969, 32863, 26109, 624, 18, 17, 45481, 2746, 22539, 19972, 426, 268, 425, 5529, 11, 2746, 53165, 69246, 266, 7219, 709, 71168, 12643, 47827, 11, 43303, 63620, 54649, 794, 8666, 288, 1323, 2391, 1107, 6538, 3371, 28275, 42789, 730, 2636, 1862, 1147, 590, 130337, 624, 18, 18, 8408, 22638, 275, 17739, 328, 573, 2752, 11, 2746, 7180, 3371, 20404, 524, 1079, 19944, 301, 2739, 69046, 6772, 43303, 11, 289, 2267, 42469, 304, 3371, 730, 8666, 932, 1079, 19944, 301, 13, 8495, 43303, 6538, 47808, 38684, 57803, 387, 24716, 275, 11, 52507, 9911, 12353, 2030, 98359, 6395, 71017, 60404, 267, 26933, 275, 19349, 3091, 15795, 624, 18, 19, 42161, 2746, 4081, 276, 42469, 328, 573, 2752, 5923, 127533, 7564, 261, 11, 2746, 14047, 54649, 3680, 267, 8666, 2185, 6395, 3371, 27022, 14668, 29695, 9416, 1960, 11, 289, 2267, 42469, 3739, 1127, 304, 25445, 624, 53, 32842, 21176, 2030, 28275, 42789, 141775, 67524, 82, 198, 18, 20, 758, 479, 23549, 263, 19, 289, 2267, 23446, 619, 12179, 72, 73453, 11, 2694, 794, 8666, 85, 962, 31008, 54092, 13, 1345, 482, 51743, 305, 645, 7997, 11331, 51576, 345, 18, 21, 19349, 34368, 42153, 460, 1194, 2055, 24134, 4116, 3680, 15007, 11, 2746, 30632, 268, 328, 84251, 811, 43303, 25, 49192, 11, 730, 16053, 11, 14322, 278, 11, 65804, 11, 34662, 370, 345, 18, 22, 479, 24358, 11, 45565, 7305, 11, 1345, 9034, 2030, 42242, 9184, 280, 18, 23, 42242, 9184, 42668, 15462, 2055, 24134, 16449, 724, 5016, 7523, 13, 55448, 9911, 10246, 26824, 9089, 13368, 34749, 794, 8666, 288, 1323, 2391, 1107, 304, 25445, 308, 22181, 624, 18, 24, 12741, 2055, 24134, 451, 388, 4116, 3680, 1194, 11, 20, 2694, 2055, 24134, 6538, 730, 16053, 19104, 4116, 67524, 13, 8408, 328, 84251, 811, 67524, 82, 43303, 25, 12285, 16225, 11, 97891, 16053, 4284, 11, 3680, 258, 329, 370, 2030, 9236, 331, 4645, 278, 13, 21, 198, 19, 15, 12285, 266, 596, 2055, 24134, 4116, 8755, 579, 7671, 54342, 2030, 20624, 268, 2055, 24134, 69920, 624, 19, 16, 8408, 328, 84251, 811, 6538, 69920, 43303, 25, 38979, 263, 11, 2157, 273, 331, 11, 350, 610, 5213, 2030, 362, 4648, 624, 19, 17, 12741, 2055, 24134, 6538, 362, 4648, 305, 645, 7997, 10946, 718, 64, 11, 2030, 20624, 268, 328, 84251, 811, 43303, 25, 362, 3433, 295, 11, 1634, 76, 672, 295, 2030, 4467, 461, 13, 12741, 2055, 24134, 6538, 4467, 461, 4116, 6050, 4360, 198, 19, 18, 2030, 10712, 61550, 28275, 42789, 304, 31008, 8564, 645, 9443, 70, 1960, 25, 425, 2210, 11, 8550, 19042, 11, 3984, 15428, 2030, 15395, 301, 624, 19, 19, 15395, 301, 42668, 511, 55457, 328, 84251, 811, 25, 1634, 20411, 309, 11, 2516, 331, 2672, 11, 619, 16053, 1728, 73453, 11, 5016, 682, 5580, 11, 4657, 329, 5580, 2030, 20644, 276, 624, 16, 467, 38809, 9740, 267, 42153, 460, 1194, 11, 14821, 8793, 14410, 62713, 624, 17, 72848, 332, 6772, 1659, 58485, 20175, 26, 289, 51817, 6772, 8495, 624, 18, 54068, 794, 6712, 5999, 2694, 61217, 2823, 1937, 7180, 2746, 502, 2391, 4243, 1528, 28408, 665, 11, 13279, 2694, 451, 2667, 2185, 17058, 72943, 4079, 1960, 7357, 15462, 17209, 724, 86, 80791, 77868, 1704, 82040, 13, 151643, 24644, 13, 220, 17, 15, 16, 24, 19000, 1230, 74, 956, 332, 18607, 265, 41538, 9089, 13785, 541, 2030, 25531, 357, 13977, 7052, 304, 38500, 13, 5016, 263, 37357, 7256, 24385, 268, 20048, 9820, 2009, 2375, 645, 9421, 131807, 11759, 13, 42079, 72124, 14840, 73208, 220, 22, 624, 65835, 9089, 2746, 18069, 86, 8199, 22632, 1489, 276, 2986, 19833, 3630, 685, 17312, 55857, 15113, 7180, 2009, 2375, 24803, 80129, 3818, 13, 83234, 541, 2375, 3591, 25, 49371, 83820, 760, 83234, 776, 891, 2660, 69139, 437, 17454, 2285, 2823, 318, 24401, 17739, 36866, 28815, 74, 94133, 68102, 9089, 14047, 13207, 74, 870, 83234, 39720, 9913, 5451, 2429, 2009, 2375, 268, 80260, 20005, 11375, 417, 635, 13368, 431, 44226, 2185, 11, 5016, 9157, 2185, 2030, 619, 1942, 265, 449, 4368, 624, 50855, 384, 84858, 9089, 75590, 7180, 2746, 12709, 132894, 20005, 14612, 437, 37949, 6538, 60423, 3371, 24092, 276, 71832, 6538, 94844, 11, 31145, 2391, 325, 2030, 1422, 17739, 16447, 2305, 332, 932, 73741, 9089, 293, 5403, 51239, 978, 9151, 13, 1863, 87205, 5999, 34542, 32175, 4645, 2095, 94844, 2030, 31145, 2391, 325, 42046, 14410, 2391, 900, 13, 220, 17, 15, 13, 72124, 220, 17, 15, 16, 21, 20113, 40353, 11, 2009, 2375, 3591, 2030, 32936, 362, 870, 28129, 799, 9855, 1180, 11595, 26, 58009, 3848, 331, 1174, 5679, 87413, 436, 266, 1365, 1230, 74, 956, 332, 75752, 4865, 2185, 3563, 95283, 304, 47808, 386, 28865, 13, 75291, 261, 5999, 2714, 3275, 7865, 18955, 10712, 1230, 74, 956, 332, 47708, 34738, 13, 55448, 304, 77012, 93912, 75315, 883, 3371, 479, 4813, 331, 458, 773, 883, 7522, 68102, 2030, 8536, 7219, 82, 52639, 1365, 8793, 25531, 9544, 10638, 220, 16, 24, 13, 72124, 220, 17, 15, 16, 16, 9460, 460, 55339, 2030, 730, 2111, 635, 9421, 2429, 15854, 723, 2694, 393, 85660, 2024, 3885, 624, 33, 485, 1199, 9820, 25494, 342, 4671, 68, 23388, 37137, 2165, 304, 2694, 88049, 320, 69, 16074, 69, 14840, 220, 16, 15, 730, 9416, 1194, 462, 62549, 1579, 59422, 88049, 8, 312, 4865, 19833, 3630, 685, 76133, 267, 2009, 2375, 645, 9421, 25, 35536, 276, 883, 2746, 393, 1489, 276, 2986, 2714, 2712, 406, 5016, 263, 79409, 5342, 24385, 268, 76, 826, 268, 2694, 393, 1489, 276, 2986, 312, 28324, 7180, 9820, 1032, 67726, 9421, 11, 2030, 6616, 10928, 13279, 42786, 11, 2746, 13906, 1923, 8793, 19767, 9820, 2009, 2375, 645, 1656, 559, 295, 43303, 624, 54, 34966, 5999, 11, 22075, 8495, 6616, 1230, 74, 956, 332, 9421, 6969, 54536, 12385, 49933, 141943, 723, 17630, 11, 14948, 8495, 2746, 444, 91639, 14047, 82, 2305, 268, 13, 1527, 930, 15795, 98421, 2746, 55857, 15113, 11, 14948, 9089, 55248, 61550, 1230, 144004, 27951, 19833, 3630, 685, 393, 1489, 276, 2986, 88766, 40193, 2030, 49933, 141943, 30353, 1365, 29873, 1690, 34699, 6616, 8182, 30512, 82032, 724, 25, 42786, 11, 2746, 96042, 17790, 11316, 5451, 2009, 2375, 3591, 6395, 11460, 83572, 11, 20048, 7219, 2746, 19833, 3630, 685, 393 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1489, 276, 2986, 24401, 16053, 312, 351, 16030, 13, 9236, 5999, 1083, 12788, 20096, 294, 3292, 27684, 68, 275, 2030, 939, 49662, 93985, 12222, 9820, 74227, 7256, 90817, 13, 58534, 5451, 2429, 1230, 74, 956, 332, 13, 65911, 490, 6207, 5451, 19833, 3630, 685, 6222, 24774, 32387, 32030, 20404, 1241, 87818, 34586, 19833, 3630, 685, 481, 9740, 74, 40193, 2030, 70219, 141943, 30353, 481, 444, 69, 43, 8408, 2823, 20850, 7997, 2024, 14033, 376, 7256, 19833, 3630, 645, 5999, 4368, 1529, 300, 1524, 4182, 5127, 16415, 11, 2694, 13906, 77556, 220, 16, 20, 15, 45506, 9421, 29181, 15232, 11496, 384, 40399, 331, 62967, 417, 26109, 13, 46749, 18607, 265, 41538, 5999, 2746, 393, 1489, 276, 2986, 304, 137256, 535, 20128, 27557, 11, 23738, 9911, 10712, 27684, 5186, 13920, 95181, 1230, 74, 956, 332, 304, 4268, 86, 61811, 21673, 730, 10523, 77, 69499, 13, 1230, 74, 956, 332, 732, 58030, 268, 15792, 23118, 1850, 318, 5676, 609, 82195, 12495, 760, 220, 22, 6623, 1952, 3184, 17454, 1230, 74, 956, 332, 15719, 732, 566, 318, 17739, 93912, 2030, 732, 58030, 268, 16034, 48686, 1984, 932, 285, 12643, 624, 641, 19846, 50232, 4832, 9089, 6616, 1230, 74, 956, 332, 41488, 45506, 75590, 72170, 2030, 5282, 41538, 9089, 85104, 13977, 5840, 9421, 13, 16354, 275, 9911, 6538, 18302, 91450, 3524, 333, 449, 17029, 12643, 15719, 11, 77509, 6616, 1007, 33235, 6712, 89931, 44278, 37953, 330, 652, 3732, 2285, 1, 9820, 93898, 83141, 383, 6538, 44492, 932, 2694, 19833, 3630, 685, 2030, 41852, 265, 20319, 9421, 72313, 6772, 11, 458, 12442, 7522, 8755, 74, 14649, 268, 15687, 9911, 88766, 2667, 267, 13, 2009, 2375, 645, 34699, 393, 1489, 276, 5679, 760, 26692, 6862, 306, 13785, 20404, 1241, 22385, 7219, 600, 20324, 2009, 2375, 645, 15719, 12222, 19767, 24385, 16597, 15671, 939, 88765, 21673, 17518, 82, 2739, 1723, 15938, 12643, 11, 2746, 65733, 15795, 2543, 9510, 1268, 19875, 393, 1489, 276, 5679, 12583, 1501, 21558, 10938, 425, 2305, 3885, 11, 467, 550, 826, 125245, 799, 2030, 595, 494, 32820, 13820, 2126, 265, 577, 13, 55448, 13329, 344, 732, 24401, 17739, 17632, 811, 2694, 1198, 2724, 5918, 2030, 34506, 6433, 393, 1489, 276, 5679, 11, 1230, 144004, 27951, 11, 88748, 331, 83090, 2694, 10207, 2391, 13920, 343, 1960, 19833, 3630, 685, 13, 1230, 74, 956, 332, 5267, 17, 3847, 1588, 1431, 13, 22463, 512, 1371, 57669, 0, 3465, 553, 3651, 10566, 20, 15, 16, 264, 3942, 369, 220, 16, 16, 3951, 13, 1943, 279, 82747, 409, 4042, 12873, 82, 481, 42174, 7107, 41137, 2416, 4831, 3757, 20607, 39620, 3262, 301, 25, 330, 30124, 811, 40188, 6395, 94655, 4116, 41235, 350, 4738, 71865, 1, 481, 8224, 76, 17454, 11, 281, 1489, 91639, 11, 502, 8535, 25, 5347, 263, 91929, 36956, 665, 9089, 3757, 20607, 39620, 3262, 301, 4368, 37419, 8688, 13, 38747, 8151, 4865, 2714, 13785, 132678, 86, 16597, 29560, 86, 324, 27393, 74, 2649, 2127, 11, 3956, 4645, 416, 1230, 74, 956, 332, 2030, 2746, 467, 15546, 331, 14033, 38132, 6538, 350, 16030, 11, 22075, 883, 9911, 259, 44226, 295, 13, 12741, 5699, 4659, 76, 5342, 2009, 2375, 645, 11855, 131807, 799, 139906, 25, 54068, 393, 1489, 276, 2986, 289, 92975, 647, 24619, 3719, 24025, 5679, 20048, 24401, 10559, 1032, 67726, 268, 305, 648, 17391, 28421, 13, 78021, 3371, 5699, 4659, 76, 15795, 2009, 2375, 645, 11855, 131807, 799, 11321, 1960, 41983, 7364, 8793, 13, 51310, 393, 1489, 276, 2986, 289, 92975, 137943, 41544, 40896, 5840, 304, 66482, 479, 13977, 1960, 624, 20722, 13, 220, 17, 15, 16, 23, 49192, 647, 29886, 485, 50158, 93096, 2746, 87488, 10938, 44602, 268, 67660, 19985, 2185, 25, 44602, 268, 5296, 932, 11, 1230, 74, 956, 332, 82195, 12495, 2030, 40462, 69713, 13906, 2429, 393, 1489, 276, 5679, 3371, 220, 16, 13, 506, 5840, 13, 220, 17, 15, 16, 20, 19000, 10928, 10712, 330, 54, 20776, 20644, 69, 1, 61606, 23446, 1230, 74, 956, 332, 289, 92975, 88628, 40334, 304, 66482, 11427, 14668, 458, 58534, 12, 2030, 143089, 81, 57396, 77, 2030, 14821, 51637, 20868, 258, 10712, 17888, 65, 14410, 62713, 25, 33764, 73032, 2030, 62702, 4929, 2886, 13, 19000, 87583, 5999, 6975, 76171, 11, 50697, 704, 13368, 384, 552, 2869, 67726, 11, 384, 8801, 42851, 12385, 35951, 32936, 13, 9236, 68573, 19104, 2256, 11, 22075, 24440, 220, 17, 24, 13, 42256, 220, 17, 15, 16, 22, 8408, 2055, 38916, 2267, 811, 5999, 9820, 25494, 12833, 265, 12063, 134883, 59988, 1626, 32030, 9421, 2694, 33312, 69, 20933, 645, 2694, 5016, 4059, 465, 18812, 2024, 28658, 1536, 2030, 64208, 41203, 9820, 83141, 383, 3956, 22396, 7073, 8408, 42068, 4757, 2694, 17838, 424, 98421, 9421, 14089, 13977, 261, 1230, 74, 956, 332, 75752, 4865, 2185, 2030, 467, 2305, 778, 261, 2185, 6538, 1644, 21251, 42786, 5451, 6919, 266, 1524, 9740, 77, 36956, 2185, 2030, 2009, 2375, 3591, 8486, 824, 70667, 13, 1205, 41846, 13804, 268, 6395, 20644, 69, 11, 48565, 2030, 48565, 3378, 268, 13, 730, 14320, 1863, 19652, 11, 28729, 16739, 3362, 73255, 343, 11, 48565, 15967, 268, 11, 2825, 300, 3089, 395, 11, 20644, 69, 11, 1230, 74, 956, 332, 11, 18482, 44977, 11, 73255, 7256, 5573, 6271, 10312, 25051, 42174, 794, 22733, 49284, 43599, 5692, 374, 264, 6802, 429, 358, 20644, 69, 16011, 1690, 16887, 84176, 32942, 590, 18849, 38, 288, 1241, 22385, 44, 95283, 41411, 23455, 472, 28865, 34, 1020, 15367, 2403, 2375, 645, 28449, 4517, 5999, 4368, 25500, 49802, 7180, 41983, 5016, 1174, 10400, 590, 90360, 2030, 93096, 304, 2746, 362, 56984, 11278, 11855, 65552, 1782, 440, 624, 32617, 9740, 86, 45699, 2694, 2988, 6215, 73741, 19104, 8793, 12222, 2009, 2375, 645, 9299, 1489, 276, 2986, 25, 77717, 289, 1387, 529, 6616, 20113, 40353, 15843, 956, 332, 481, 2030, 15269, 29159, 77717, 1501, 2391, 426, 9911, 26252, 11, 2746, 19833, 3630, 685, 1365, 2030, 9911, 5282, 41538, 9089, 435, 15596, 9421, 13, 8408, 24385, 268, 2694, 393, 1489, 276, 2986, 20048, 566, 723, 7256, 2009, 2375, 3591, 9421, 131807, 11759, 11, 2746, 6395, 1260, 355, 2125, 454, 30353, 2030, 71765, 6395, 20113, 40353, 50232, 1440, 20048, 13, 151643, 2461, 6237, 7671, 839, 481, 7856, 52, 640, 425, 7243, 6538, 83638, 481, 16, 21, 16, 18, 198, 15, 22, 13, 15, 22, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17, 15, 16, 22, 220, 15, 15, 25, 18, 23, 481, 2362, 22840, 43506, 304, 11461, 434, 30203, 287, 25, 730, 567, 977, 10946, 610, 318, 2157, 285, 1194, 5999, 12743, 269, 7964, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 23, 198, 17082, 434, 30203, 287, 760, 220, 15, 20, 13, 15, 22, 13, 17, 15, 16, 22, 760, 220, 15, 24, 25, 16, 21, 38183, 198, 1427, 22840, 43506, 304, 11461, 434, 30203, 287, 25, 730, 567, 977, 10946, 610, 318, 2157, 285, 1194, 5999, 12743, 269, 7964, 198, 22171, 384, 29032, 278, 7256, 9740, 25329, 285, 958, 69, 10946, 610, 318, 2157, 285, 1194, 320, 75, 6138, 4116, 47143, 1079, 69713, 10938, 6395, 62642, 304, 11461, 434, 30203, 287, 11, 10712, 730, 6070, 798, 25329, 285, 958, 69, 13326, 94589, 4412, 896, 258, 3371, 31275, 371, 9057, 1387, 665, 13, 24196, 49342, 25, 730, 76949, 198, 42, 567, 977, 10946, 610, 318, 2157, 285, 1194, 5999, 2401, 13, 12741, 98877, 6739, 9740, 25329, 285, 958, 69, 6538, 141377, 42137, 1079, 32618, 1126, 331, 76, 39563, 66983, 511, 1543, 22840, 64, 15738, 304, 11461, 434, 30203, 287, 320, 41957, 54942, 285, 9970, 2863, 8, 12743, 269, 7964, 11, 85389, 4368, 328, 1726, 9034, 939, 9740, 25329, 380, 6237, 141377, 13, 2157, 285, 1194, 26109, 220, 23, 18, 48015, 4797, 13, 9740, 4116, 2694, 72170, 4443, 495, 22449, 5342, 68517, 25527, 7522, 142884, 13, 2362, 1174, 26252, 274, 1775, 665, 2694, 595, 2382, 53168, 4229, 380, 20005, 5451, 2543, 562, 54834, 48686, 132894, 11595, 7180, 25714, 1580, 2185, 13, 19000, 730, 49802, 1194, 20751, 12636, 42668, 59228, 58583, 10712, 34368, 288, 2739, 36601, 295, 624, 32, 1387, 732, 425, 380, 372, 9970, 2863, 54739, 82, 13920, 56381, 17298, 8801, 13, 330, 54370, 58442, 2739, 5623, 268, 16111, 9820, 2694, 2778, 3921, 83386, 268, 70772, 5676, 44160, 25527, 1528, 497, 85389, 42584, 958, 69, 48902, 506, 3667, 11, 10712, 2714, 1079, 32618, 1126, 331, 76, 39563, 21982, 58583, 2157, 285, 4972, 2714, 32621, 4079, 13, 330, 19462, 4116, 4368, 29860, 259, 4738, 268, 479, 4260, 392, 724, 0, 51709, 268, 17098, 3433, 38684, 8896, 23273, 304, 53936, 12100, 3178, 645, 75590, 38897, 730, 13796, 22385, 139115, 2429, 93688, 15779, 17739, 3184, 545, 304, 2694, 28831, 13906, 2694, 467, 10938, 37228, 80587, 1942, 83, 13, 8408, 25527, 1528, 304, 44979, 8896, 2714, 13785, 37419, 89, 2636, 23446, 1868, 517, 5451, 709, 649, 2305, 5178, 497, 773, 42584, 958, 69, 506, 3667, 624, 641, 2694, 42068, 1118, 67931, 1528, 1260, 73276, 4229, 380, 304, 11461, 434, 30203, 287, 75315, 1079, 32618, 1126, 331, 370, 408, 4443, 220, 16, 23, 13, 18, 15, 38183, 4368, 63318, 306, 50095, 479, 14134, 7351, 48253, 67, 3591, 267, 67317, 624, 3939, 83, 2807, 25, 18078, 1387, 25, 9740, 25329, 285, 958, 69, 13326, 94589, 4412, 896, 258, 4116, 6395, 62642, 304, 11461, 434, 30203, 287, 198, 42, 567, 977, 10946, 610, 318, 2157, 285, 1194, 13, 24196, 49342, 25, 294, 6595, 14, 18727, 344, 198, 17, 15, 16, 19, 4116, 2157, 285, 1194, 9421, 20404, 1241, 87818, 901, 34271, 268, 7219, 59228, 72705, 467, 80791, 51721, 304, 3371, 27914, 383, 2685, 5436, 61007, 13, 1345, 258, 28275, 8400, 1389, 10712, 9740, 25329, 285, 958, 69, 6538, 141377, 26109, 431, 1743, 23016, 27258, 301, 6642, 13, 2157, 285, 1194, 512, 65, 665, 304, 59228, 66968, 45506, 304, 2694, 730, 49802, 1194, 758, 12495, 44278, 624, 44, 54988, 53797, 75182, 8495, 304, 75077, 1260, 77332, 29413, 2185, 21982, 220, 21, 13, 72124, 220, 17, 15, 16, 22, 320, 19598, 15843, 74917, 8, 12385, 10712, 31247, 7253, 465, 3680, 26378, 306, 198, 2428, 1110, 7138, 556, 6199, 2285, 14, 361, 652, 1580, 3914, 3470, 352, 932, 1112, 77, 12, 1107, 12, 2314, 2564, 198, 1254, 1110, 2136, 556, 6199, 2285, 14, 60931, 3831, 14272, 25720, 62, 1241, 60506, 1112, 12, 6969, 269, 7964, 2564, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 23, 481, 10946, 610, 318, 730, 567, 977, 2157, 285, 1194, 198, 22493, 610, 318, 730, 567, 977, 2157, 285, 1194, 3610, 1371, 318, 468, 29272, 380, 17739, 18211, 673, 220, 17, 15, 16, 18, 304, 141377, 198, 70194, 1531, 15462, 27298, 11, 2429, 10638, 4845, 268, 2712, 2301, 264, 2746, 84, 38738, 62401, 68009, 8, 73689, 15719, 11, 24929, 5999, 1531, 31008, 27785, 5191, 11, 42584, 958, 69, 2030, 730, 567, 977, 10946, 610, 318, 2157, 285, 1194, 624, 18175, 19846, 261, 10246, 65, 1960, 52716, 42584, 958, 69, 2157, 285, 1194, 2030, 10246, 26824, 40662, 12222, 50490, 932, 14047, 141377, 62459, 13, 28275, 141377, 11, 23738, 883, 40662, 8793, 10246, 65, 665, 11, 8793, 17630, 96434, 11, 52434, 50926, 2746, 49765, 665, 16629, 939, 42584, 958, 3848, 9421, 2429, 506, 15795, 19349, 13, 576, 37369, 21826, 433, 23647, 2739, 3632, 7997, 1960, 2746, 6975, 95946, 730, 49802, 1194, 9740, 77131, 2185, 34699, 40662, 13, 9236, 4116, 7180, 23273, 6616, 61217, 468, 5428, 331, 24638, 268, 13785, 3371, 93716, 437, 2694, 576, 37369, 458, 3371, 92191, 15545, 64321, 1960, 13, 12741, 31643, 267, 11, 19349, 77779, 54105, 6898, 7946, 13, 738, 89282, 9089, 19767, 13, 55448, 34699, 40662, 84193, 11, 2694, 40157, 36077, 10246, 652, 304, 19846, 3893, 2024, 645, 7964, 68573, 13, 9236, 66093, 14047, 141377, 2030, 2694, 1527, 42477, 4116, 83758, 624, 42, 567, 977, 2157, 285, 1194, 1501, 645, 65, 10928, 304, 141377, 4368, 650, 388, 331, 20521, 798, 6250, 74, 34271, 7272, 939, 54706, 2356, 82, 2030, 4368, 65571, 446, 40896, 16171, 1194, 13906, 50490, 13160, 4863, 21188, 75, 11595, 304, 25527, 1528, 2030, 20404, 69701, 13, 22309, 372, 4368, 42584, 958, 69, 304, 44979, 8151, 610, 773, 87533, 13785, 3680, 10157, 579, 2185, 13, 6569, 258, 42584, 958, 69, 304, 44979, 4116, 773, 5206, 343, 11, 22075, 1531, 4443, 3371, 23388, 69, 742, 5840, 2694, 25527, 1528, 5451, 2694, 6481, 268, 20404, 69701, 66093, 624, 35, 4953, 36108, 37228, 80587, 1942, 665, 11, 2694, 730, 567, 977, 4116, 11316, 330, 96743, 497, 2714, 4116, 25531, 330, 776, 3263, 19000, 4116, 1531, 10928, 11 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 572, 2714, 6975, 11, 3371, 15690, 10358, 23647, 2694, 11333, 680, 462, 80660, 92237, 85389, 25, 1345, 307, 25531, 330, 776, 1, 0, 52283, 330, 96743, 1, 0, 1298, 3686, 355, 19349, 13, 3686, 1263, 74, 376, 16053, 7219, 28852, 21140, 81146, 16111, 19349, 13, 1230, 423, 70, 38809, 12583, 38897, 4182, 1609, 2142, 268, 11, 5451, 69507, 2714, 773, 384, 80587, 19358, 6772, 2714, 77131, 665, 11, 13368, 2694, 3686, 19349, 11834, 7997, 624, 17360, 55879, 4368, 48100, 77420, 20005, 2823, 709, 4905, 11595, 13, 18069, 14649, 10651, 63319, 10638, 40662, 7128, 268, 13, 25714, 2429, 44966, 47702, 408, 4578, 220, 17, 15, 15, 20, 11, 10712, 883, 15462, 730, 567, 977, 304, 55590, 39438, 4260, 2886, 76120, 7964, 64015, 11, 4116, 2714, 38805, 304, 72440, 8543, 13, 42616, 51939, 10928, 8793, 30, 1345, 482, 54092, 4116, 10489, 1902, 65845, 336, 2501, 6538, 502, 11595, 32895, 337, 36433, 9421, 2694, 24851, 5679, 44966, 13, 479, 12070, 141377, 4116, 9820, 504, 2660, 3660, 30118, 457, 13, 6569, 258, 2656, 4886, 587, 3069, 28064, 90167, 22328, 2844, 76, 4738, 11, 6616, 4116, 1422, 84251, 50095, 11, 30872, 465, 2030, 97502, 65, 465, 479, 4260, 3760, 17699, 1389, 42786, 11, 2694, 2746, 54092, 5451, 3686, 355, 1320, 332, 7714, 13, 19000, 4116, 38805, 14047, 2429, 35346, 76, 473, 939, 2770, 43506, 724, 69, 299, 12032, 730, 567, 23695, 624, 83953, 18211, 673, 268, 6538, 25527, 1528, 304, 2806, 2030, 28789, 502, 36956, 21673, 479, 14134, 2712, 458, 393, 962, 467, 17392, 97525, 4116, 2714, 25531, 49536, 13, 1230, 423, 70, 38809, 10928, 2694, 468, 29272, 380, 10559, 18211, 673, 732, 37419, 220, 17, 15, 16, 18, 11, 2694, 2746, 54092, 141377, 17790, 54459, 6395, 17058, 595, 587, 337, 17739, 44336, 1415, 12, 2030, 3841, 1268, 44278, 7845, 665, 13, 12741, 18211, 673, 13703, 92172, 3371, 425, 16053, 2956, 30353, 11, 572, 34749, 34734, 306, 20005, 25714, 61229, 5999, 25, 19000, 42514, 6395, 512, 71, 1440, 13, 9236, 5999, 730, 567, 977, 2157, 285, 1194, 6395, 25658, 89289, 11, 94567, 31008, 18211, 673, 4368, 2048, 9034, 41663, 74063, 12643, 64015, 13, 2362, 1174, 26252, 10651, 63319, 10638, 58442, 70984, 387, 709, 4905, 268, 13, 1345, 72, 1531, 11, 17058, 29824, 17917, 1147, 5197, 12540, 88287, 12385, 4368, 27265, 31793, 142127, 5451, 58442, 6395, 50232, 1440, 13, 9236, 66093, 58442, 25531, 12222, 4443, 6616, 9820, 25, 42786, 6395, 3686, 355, 6395, 50232, 1440, 624, 37, 4487, 6772, 2030, 5451, 10487, 52662, 7577, 793, 66093, 2714, 304, 3371, 27914, 383, 2685, 13, 21766, 72440, 58442, 38805, 72705, 19858, 269, 595, 34271, 92172, 2714, 458, 11, 595, 16074, 723, 343, 38897, 28831, 732, 2823, 4865, 267, 95174, 732, 20751, 2739, 1323, 27918, 6395, 56945, 624, 19462, 8896, 3371, 27914, 383, 2685, 4081, 89002, 11, 4443, 304, 3275, 7865, 62785, 472, 1330, 4865, 3893, 380, 6772, 49183, 6395, 19349, 13, 2823, 709, 4905, 11595, 11, 647, 371, 81, 70668, 11, 29824, 343, 1960, 2030, 17098, 642, 32936, 2498, 268, 28095, 732, 32618, 1267, 43226, 13, 1345, 258, 9740, 1371, 71968, 43183, 7997, 83, 2714, 2694, 25527, 1528, 304, 141377, 2030, 732, 506, 15795, 13, 2823, 3341, 21454, 58442, 1079, 6252, 5679, 13, 8408, 730, 567, 977, 2157, 285, 1194, 794, 2085, 2185, 40500, 6498, 529, 2746, 23640, 9819, 12, 2030, 77775, 26976, 306, 69936, 732, 9740, 25329, 380, 372, 141377, 39307, 304, 32618, 301, 36519, 65435, 12, 2030, 137256, 535, 20128, 27557, 25, 49192, 794, 13977, 74, 2185, 2694, 6437, 268, 479, 4260, 392, 724, 423, 74, 34271, 2185, 2030, 2694, 8954, 277, 17739, 20004, 495, 16722, 2185, 2694, 32895, 337, 17739, 25527, 1528, 732, 758, 12, 2030, 20004, 1933, 624, 641, 72440, 22840, 43506, 304, 11461, 434, 30203, 287, 42137, 2714, 40851, 6772, 384, 40399, 67056, 67558, 11, 773, 70430, 7714, 6616, 20751, 12636, 624, 42, 567, 977, 2157, 285, 1194, 5999, 566, 318, 709, 46014, 268, 13, 14235, 7997, 2714, 2746, 2340, 2391, 78606, 11, 6538, 2694, 2714, 732, 31467, 5451, 8652, 8151, 610, 11, 1850, 61700, 8896, 11, 15269, 276, 27726, 10638, 79913, 83126, 333, 301, 624, 70194, 16111, 6975, 26252, 65423, 11, 24929, 13279, 68009, 624, 2589, 25173, 11, 80400, 16597, 4894, 1254, 1110, 2136, 948, 263, 333, 266, 9156, 14485, 18215, 4437, 78, 610, 318, 12, 4554, 1112, 48253, 62, 20, 16, 16, 21, 24662, 198, 1254, 1110, 74, 587, 72269, 2285, 14, 17, 15, 16, 22, 14, 15, 22, 14, 15, 20, 14, 4561, 12, 7305, 610, 318, 12646, 567, 977, 33973, 285, 1194, 5894, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 21, 481, 647, 266, 22222, 13222, 19791, 41658, 33706, 645, 25, 220, 16, 17, 434, 585, 1960, 11, 2746, 8495, 75130, 47827, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 21, 198, 53, 266, 22222, 13222, 19791, 41658, 33706, 645, 25, 220, 16, 17, 434, 585, 1960, 11, 2746, 8495, 75130, 47827, 198, 42, 587, 337, 16053, 1154, 88599, 356, 13983, 56979, 1174, 815, 1154, 13222, 48200, 36614, 1154, 82083, 8012, 9510, 8345, 1154, 647, 266, 22222, 198, 76106, 11, 220, 21, 13, 72124, 220, 17, 15, 16, 22, 320, 9414, 17597, 14373, 873, 481, 18069, 60021, 92583, 7272, 647, 266, 22222, 5251, 2382, 7995, 11, 2694, 49241, 2122, 13977, 36108, 2694, 2922, 15795, 96428, 939, 31643, 267, 288, 25127, 25127, 5999, 11, 26109, 6538, 2694, 3651, 551, 72, 939, 647, 266, 1579, 596, 2739, 81760, 295, 11, 14047, 27431, 9911, 40662, 5451, 17443, 64715, 466, 22491, 44226, 33748, 27308, 70628, 33706, 645, 304, 17443, 142418, 54831, 10712, 62668, 267, 288, 2739, 81760, 295, 83572, 71474, 31184, 5600, 198, 74909, 12583, 220, 16, 17, 434, 585, 1960, 13785, 3371, 4818, 16672, 624, 16, 13, 647, 266, 22222, 10559, 3651, 551, 72, 2739, 81760, 7714, 49501, 13130, 82083, 8012, 9510, 8345, 1154, 220, 19, 24, 11, 13906, 40462, 3128, 13518, 66983, 36108, 18482, 3365, 11, 304, 2429, 2714, 304, 2694, 62467, 939, 32050, 723, 2122, 724, 17058, 64715, 466, 1455, 295, 44914, 33370, 27308, 70628, 33706, 645, 732, 384, 29032, 278, 6433, 10925, 559, 939, 1260, 321, 6433, 3303, 2338, 27684, 59141 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26109, 624, 17, 13, 8012, 9510, 8345, 17837, 524, 1531, 11, 3371, 92707, 15938, 2694, 432, 55318, 17739, 3651, 551, 72, 6395, 1197, 709, 12032, 11, 64289, 2714, 4368, 29764, 26369, 355, 3902, 5451, 730, 69, 89, 15843, 2667, 2986, 28324, 939, 1260, 321, 6433, 794, 12540, 4730, 3318, 32997, 665, 11, 572, 40662, 73455, 16053, 32019, 34699, 14215, 1690, 2030, 1032, 9034, 7522, 7845, 665, 13, 23980, 288, 15438, 457, 70, 11, 6616, 22539, 2956, 24134, 6772, 7180, 60021, 92583, 7256, 138971, 5524, 268, 21196, 17029, 4116, 11, 2714, 4260, 392, 665, 1531, 2429, 49501, 622, 269, 11, 64715, 466, 7180, 38897, 137943, 268, 27308, 70628, 33706, 3591, 6395, 7557, 16030, 11, 28883, 6538, 2694, 432, 55318, 17739, 3651, 551, 72, 12743, 453, 417, 6395, 12643, 624, 18, 13, 19000, 78526, 22222, 10559, 142418, 11, 304, 2429, 2746, 431, 9802, 685, 1494, 17029, 5999, 11, 14821, 2694, 29413, 6538, 88687, 60021, 92583, 6433, 25527, 7522, 76, 62968, 932, 4081, 89002, 11, 15269, 29159, 138971, 69, 1225, 1960, 11, 2340, 54840, 1713, 268, 2030, 49241, 2122, 13977, 34711, 2694, 435, 85584, 17739, 31275, 645, 13, 8408, 3651, 551, 72, 26109, 25658, 135573, 343, 11, 14047, 27431, 2746, 20740, 1404, 732, 142418, 9089, 26252, 71, 6181, 13785, 357, 21545, 7256, 26692, 5676, 2030, 479, 40697, 6538, 18078, 1387, 932, 939, 142417, 28146, 66983, 47808, 80544, 2694, 98359, 387, 10561, 351, 1960, 624, 19, 13, 71474, 28831, 71865, 2694, 6250, 81760, 2185, 4116, 8012, 9510, 8345, 32175, 65, 6772, 773, 60021, 7219, 64715, 466, 11, 14948, 2714, 7180, 2746, 4863, 52330, 2185, 7180, 9820, 27265, 2986, 28831, 304, 2694, 393, 9156, 53243, 730, 79870, 304, 11774, 1640, 91970, 268, 31551, 48376, 301, 4738, 529, 26109, 624, 20, 13, 89230, 89, 2694, 24209, 61231, 11595, 939, 31643, 267, 288, 25127, 6538, 4058, 41064, 89, 2030, 2694, 46069, 42603, 2694, 31275, 645, 11, 26109, 48803, 93504, 13785, 3371, 4818, 16672, 6538, 87262, 89463, 7522, 78526, 22222, 17739, 50130, 1960, 14410, 776, 7522, 13, 1084, 55318, 10559, 3264, 3591, 1411, 45699, 2746, 77930, 49765, 665, 81440, 14047, 2429, 9740, 39416, 6538, 44999, 12, 14873, 268, 624, 21, 13, 8012, 9510, 8345, 4116, 77040, 377, 1268, 408, 732, 431, 40193, 11, 4443, 4368, 42584, 958, 69, 13279, 72440, 35975, 45914, 88599, 356, 13983, 56979, 1174, 815, 13409, 1859, 17958, 2185, 6395, 12643, 624, 22, 13, 8012, 9510, 8345, 5999, 42378, 1118, 17790, 10712, 22318, 1524, 96428, 7219, 2694, 16023, 939, 393, 2305, 88795, 21673, 46976, 7180, 2746, 20004, 1937, 2185, 6538, 1032, 13920, 267, 427, 268, 7219, 133429, 624, 23, 13, 8012, 9510, 8345, 81616, 295, 9089, 2694, 29413, 304, 17443, 1007, 33370, 73641, 3667, 304, 1084, 55318, 11, 6616, 9089, 304, 17443, 8913, 70628, 75074, 72101, 81616, 295, 13, 9236, 55879, 31357, 9740, 86, 21519, 46621, 36108, 1298, 89, 64870, 2694, 4929, 449, 36616, 7180, 38897, 30512, 9160, 2122, 11595, 624, 24, 13, 8012, 9510, 89, 285, 35975, 5999, 730, 567, 977, 88599, 356, 13983, 56979, 1174, 815, 1154, 2694, 91245, 5342, 13422, 263, 10559, 50130, 665, 939, 647, 266, 1579, 596, 13, 9740, 5999, 17058, 2694, 2922, 15795, 96428, 6538, 31643, 267, 65520, 3187, 355, 2030, 512, 307, 52028, 21673, 141785, 89, 932, 16448, 59174, 1220, 11148, 44756, 25, 730, 567, 977, 2739, 19095, 131481, 723, 5451, 647, 266, 22222, 13222, 19791, 41658, 33706, 645, 1274, 52277, 330, 30487, 8543, 68, 1, 304, 13222, 19791, 41658, 65314, 267, 321, 198, 16, 15, 13, 356, 13983, 56979, 1174, 815, 8896, 63318, 44275, 95038, 14410, 776, 7522, 11, 572, 2714, 304, 20321, 2071, 8543, 268, 304, 27308, 70628, 2823, 13536, 71, 11595, 4081, 93339, 8896, 25, 330, 54, 21519, 9300, 2746, 27308, 70628, 2823, 13536, 71, 11595, 6538, 2694, 25527, 1528, 10712, 1, 11816, 330, 524, 81184, 12643, 11, 47827, 595, 587, 337, 10559, 434, 50753, 261, 13368, 2714, 34542, 2746, 1, 20321, 2071, 8800, 64321, 1960, 330, 28551, 41928, 422, 395, 2714, 304, 27308, 70628, 2823, 13536, 71, 11595, 548, 90930, 5999, 624, 16, 16, 13, 9236, 27298, 12307, 74, 2914, 268, 11, 2746, 356, 13983, 56979, 1174, 815, 13785, 2746, 35515, 94211, 33706, 3591, 289, 355, 5342, 2030, 59765, 6538, 74021, 71713, 624, 16, 17, 13, 356, 13983, 56979, 1174, 815, 5999, 304, 2694, 33328, 71, 332, 22539, 65935, 11, 31643, 267, 65520, 3187, 355, 364, 10141, 73, 2391, 968, 2185, 4886, 324, 2694, 595, 587, 337, 17739, 25527, 1528, 13906, 12070, 392, 12640, 268, 13, 422, 39129, 93096, 10928, 6616, 5016, 60322, 36108, 33278, 288, 1527, 42477, 46668, 97748, 11, 6616, 25127, 364, 82, 220, 17, 15, 16, 21, 468, 8719, 29560, 2185, 3303, 50280, 4929, 295, 87475, 5198, 61878, 92172, 11, 2994, 1531, 1147, 6230, 47631, 6772, 25620, 1122, 1952, 2030, 289, 1122, 2836, 383, 404, 266, 7714, 32895, 337, 36433, 11, 2746, 304, 468, 383, 1323, 1387, 512, 65, 1960, 11, 39307, 650, 423, 383, 404, 266, 7714, 11, 53383, 273, 65, 10938, 32895, 337, 36433, 11, 2746, 304, 2694, 20995, 485, 72, 512, 65, 1960, 11, 2746, 566, 321, 7256, 87727, 16192, 2714, 6023, 301, 1960, 13, 1345, 258, 33278, 26109, 6538, 7746, 1389, 4865, 33748, 25527, 7522, 72313, 932, 13368, 730, 567, 977, 2502, 519, 10861, 713, 17837, 674, 83, 11, 1508, 1126, 17958, 1531, 2694, 595, 587, 337, 17739, 62558, 265, 13785, 2746, 468, 383, 11, 2746, 468, 29272, 380, 645, 2030, 6616, 425, 53894, 406, 25151, 143437, 9724, 388, 649, 610, 624, 2428, 1110, 2136, 918, 82295, 14668, 27744, 905, 3470, 22081, 5457, 774, 1112, 19, 5918, 16, 24, 12, 19, 15, 17, 18, 20, 21, 17, 19, 20, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 21, 481, 49501, 31643, 20521, 72, 25, 330, 36, 383, 1, 13222, 19791, 41658, 11, 59765, 87727, 16192, 17790, 2823, 14348, 42603, 198, 17, 20, 13, 80157, 220, 17, 15, 16, 22, 481, 220, 15, 16, 13, 17, 19, 38183, 198, 13, 49501, 31643, 20521, 72, 25, 330, 36, 383, 1, 13222, 19791, 41658, 11, 59765, 87727, 16192, 17790, 2823, 14348, 42603, 198, 45, 4865, 82, 87727, 16192, 2030, 31357, 6694, 72, 2956, 325, 2823, 14348, 42603, 27308, 41658, 330, 423, 383, 404, 266, 295, 497 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2746, 96042, 17790, 8793, 34749, 1032, 361, 16034, 20004, 3612, 1942, 3893, 85426, 13, 60082, 73689, 11, 1531, 72734, 11, 1531, 4116, 16064, 901, 13, 11108, 31643, 20521, 72, 11, 42584, 958, 69, 6538, 52424, 11, 18657, 11, 25531, 15462, 9089, 17392, 2823, 72101, 2154, 43226, 7180, 1298, 87808, 12, 1241, 1298, 7276, 20933, 645, 5451, 54649, 16540, 4706, 268, 2030, 18859, 268, 647, 13820, 307, 42603, 2694, 45173, 645, 2030, 2694, 595, 587, 337, 17739, 88506, 13, 16887, 364, 11455, 2714, 1079, 220, 16, 17, 13, 80157, 21506, 50591, 12495, 4368, 74463, 2122, 13785, 2746, 87948, 383, 6, 49642, 19791, 41658, 732, 76604, 20658, 42944, 1574, 70777, 624, 32617, 66850, 1123, 11, 62782, 65161, 458, 2746, 27785, 5191, 2030, 6616, 7767, 2956, 31793, 276, 19207, 2714, 6023, 3818, 93644, 56400, 408, 2746, 3264, 3591, 25, 330, 8408, 25527, 1528, 8896, 8793, 12222, 2746, 56872, 36614, 1154, 51290, 10928, 2746, 91929, 30077, 2577, 665, 6250, 15897, 37633, 2185, 38897, 4166, 306, 10559, 62558, 265, 13785, 2746, 468, 383, 6395, 387, 9855, 56539, 6433, 11, 39307, 2746, 9740, 39416, 2185, 2030, 3371, 78445, 6395, 40500, 6498, 932, 566, 321, 7256, 67775, 29413, 93716, 437, 330, 1154, 85389, 16064, 901, 13, 31643, 20521, 72, 11, 14047, 53936, 6252, 450, 15269, 276, 2714, 6130, 529, 1154, 13368, 8725, 330, 2746, 20226, 546, 2030, 4368, 22385, 20005, 62558, 265, 2694, 595, 587, 337, 17739, 25527, 1528, 41488, 54649, 2825, 34271, 2185, 7219, 2746, 57803, 23898, 288, 42250, 77, 10588, 3686, 355, 659, 698, 22171, 42584, 958, 69, 6538, 52424, 11845, 11, 38897, 77200, 6250, 69046, 2185, 472, 648, 269, 383, 83592, 330, 6538, 479, 48253, 42514, 1154, 2746, 58442, 458, 423, 2172, 332, 11, 5451, 451, 31573, 15795, 11567, 1371, 1154, 28883, 2746, 467, 15113, 22385, 6395, 27684, 36956, 5183, 41348, 422, 39129, 2714, 77131, 665, 2714, 1154, 13368, 2746, 7767, 2956, 31793, 276, 74462, 13785, 2746, 27308, 29937, 330, 36, 12032, 1, 5999, 9820, 274, 1775, 69, 41203, 7256, 2030, 16540, 6603, 6817, 1527, 66671, 939, 67302, 327, 939, 13422, 263, 17739, 1032, 54327, 1154, 94567, 3893, 42316, 11, 2746, 2714, 17859, 49232, 406, 11, 7219, 21794, 55449, 4865, 6395, 17630, 2030, 56104, 458, 2694, 393, 2305, 88795, 21673, 142485, 16046, 269, 12417, 304, 11774, 11, 39307, 15462, 40990, 315, 16398, 7506, 458, 2694, 1581, 25300, 3822, 2030, 18520, 485, 24016, 301, 732, 89502, 17739, 36866, 427, 13, 45481, 26769, 95817, 8793, 1147, 360, 2305, 50900, 1154, 14948, 25, 330, 3371, 2839, 17149, 344, 37431, 9819, 17739, 4864, 51767, 2694, 9179, 268, 2823, 74991, 6395, 3371, 13222, 19791, 70628, 773, 4081, 276, 42469, 87948, 12032, 6, 709, 42316, 11, 2694, 304, 36744, 93716, 437, 8793, 289, 15113, 92670, 268, 5999, 566, 321, 7256, 87727, 16192, 6395, 8486, 42477, 268, 11, 17790, 52434, 84911, 301, 27277, 12643, 41348, 2980, 13, 220, 24, 16, 20, 939, 33677, 327, 939, 13422, 263, 17739, 1032, 331, 2338, 97096, 304, 2694, 62467, 11, 6538, 2694, 468, 29272, 380, 645, 9421, 45061, 76166, 12643, 1154, 2746, 330, 46389, 77, 2305, 377, 343, 2755, 277, 1440, 304, 17058, 1007, 78571, 1241, 6433, 83758, 268, 328, 97310, 330, 15719, 13, 220, 24, 16, 21, 5699, 265, 20319, 13906, 1154, 13368, 41983, 12583, 9089, 26956, 355, 267, 1154, 2746, 8486, 42477, 268, 330, 28883, 13906, 1923, 7256, 77310, 2396, 306, 1574, 2823, 37347, 1967, 579, 939, 42250, 77, 41348, 8495, 20048, 8793, 7135, 268, 13279, 23291, 28421, 2030, 23388, 8802, 367, 268, 19349, 26, 8495, 20048, 8793, 13279, 2694, 386, 23318, 1853, 33370, 11, 17790, 59228, 11615, 261, 12385, 7906, 52662, 539, 306, 50095, 7767, 798, 2694, 468, 29272, 380, 645, 13, 6569, 482, 7767, 2956, 31793, 276, 495, 84956, 15719, 330, 36, 383, 1, 13222, 19791, 41658, 7219, 37060, 1154, 17790, 2746, 5451, 74021, 18607, 22157, 268, 3660, 68, 3591, 26, 48803, 27785, 5191, 12385, 96428, 2694, 31275, 645, 15719, 26769, 330, 37, 17750, 497, 1154, 28883, 6616, 76120, 4865, 932, 330, 66287, 38486, 26647, 1859, 659, 698, 13, 49501, 31643, 20521, 72, 48376, 301, 21140, 34749, 27785, 5191, 37521, 5451, 3371, 42786, 6395, 51873, 1154, 2746, 26769, 13093, 287, 2185, 97872, 330, 9911, 17312, 23334, 81112, 435, 28421, 36304, 78612, 2746, 566, 321, 7256, 87727, 16192, 8486, 42477, 268, 20048, 1154, 14840, 9911, 2746, 77775, 1330, 20542, 19767, 6616, 38767, 2396, 306, 2694, 24209, 2956, 24134, 2185, 5451, 2694, 25527, 1528, 26252, 1059, 6969, 32863, 41348, 43997, 8495, 9089, 304, 350, 2539, 140600, 15113, 12583, 11, 12643, 9911, 2746, 566, 321, 7256, 87727, 16192, 10712, 47355, 58534, 89, 54988, 2185, 57984, 12222, 21506, 2694, 13093, 287, 2185, 1154, 14948, 2714, 330, 27227, 23455, 7180, 34749, 328, 34271, 268, 16034, 20004, 3612, 1942, 41348, 43997, 8725, 8793, 1032, 361, 4443, 709, 70617, 3342, 342, 573, 69, 17454, 3670, 47827, 9911, 304, 2694, 72630, 331, 21673, 7107, 1587, 28122, 1003, 268, 1197, 89, 11706, 12643, 13, 2362, 83126, 333, 2010, 13464, 67382, 458, 3371, 6013, 306, 21673, 2030, 2714, 30166, 79788, 34749, 7107, 12543, 11595, 659, 6228, 52491, 652, 13409, 42477, 6538, 16840, 932, 38767, 2396, 306, 268, 11, 87862, 647, 70551, 12385, 9740, 74991, 16892, 485, 13920, 343, 1960, 17630, 9820, 27308, 29937, 2823, 74991, 11, 5999, 1531, 2746, 23291, 66075, 304, 3371, 434, 32251, 268, 6395, 66386, 23118, 1154, 23738, 1531, 9820, 330, 17859, 87541, 34271, 7714, 42722, 46621, 1154, 14948, 9911, 16034, 595, 587, 337, 17739, 479, 4260, 75967, 2714, 89, 11706, 12643, 13022, 2746, 25714, 61229, 2694, 79635, 1960, 84247, 27418, 37633, 142334, 336, 468, 8719, 38809, 2746, 33328, 12, 2030, 28275, 665, 457, 17058, 63318, 306, 21673, 3841, 1268, 732, 6250, 47635, 25151, 18963, 9740, 75309, 19786, 16192, 2030, 37625, 2185, 14821, 74021, 3893, 42316, 12643, 11, 12222, 24929, 1154, 22075, 9911, 330, 82, 484, 17859, 9421, 42153, 695, 295, 2030, 13906, 61286, 41538, 41348, 9236, 50926, 8793, 7219, 26769, 80378, 18069, 376, 1442, 304, 595, 587, 337, 17739, 52990, 268, 12385, 46416, 2694, 29201, 331, 2367, 60637, 2739, 896, 343, 529, 12643, 11, 14821, 1531, 74021, 3893, 42316, 12643, 11, 330, 10928, 304, 70777, 2694, 468, 383, 2030, 38667, 36614, 11, 13368, 9911, 304, 2694, 62558, 265, 2694, 25527, 1528, 17312, 90769, 12743, 32863, 13022, 34749, 647, 70551, 12385, 9740 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 74991, 16892, 485, 13920, 92172, 47827, 9089, 26956, 355, 267, 19349, 11, 13279, 2694, 1527, 87697, 939, 16840, 288, 320, 31607, 4292, 2428, 1110, 2136, 18173, 5963, 3511, 16597, 277, 316, 3362, 15593, 62441, 72, 1112, 811, 39978, 2220, 359, 3253, 72, 5894, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 19, 481, 22463, 29413, 75343, 645, 25, 25987, 325, 71, 6566, 83592, 52549, 43999, 10489, 7725, 365, 34966, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 19, 198, 26223, 29413, 75343, 645, 25, 25987, 325, 71, 6566, 83592, 52549, 43999, 10489, 7725, 365, 34966, 198, 18175, 61921, 84177, 632, 7659, 645, 330, 40, 991, 5174, 1, 8896, 220, 16, 21, 13, 15, 15, 15, 43999, 304, 264, 13920, 61921, 2305, 17739, 140275, 77, 13785, 136740, 48015, 289, 79748, 6772, 2148, 273, 41538, 13, 2055, 26109, 10928, 1197, 33425, 83, 11, 14948, 1531, 41983, 18069, 1489, 2391, 64513, 7219, 6616, 42678, 4865, 2694, 43999, 27298, 11, 2746, 2746, 52159, 3591, 12304, 258, 8793, 20153, 1100, 16030, 20048, 13, 8408, 467, 79748, 1536, 53835, 12412, 2746, 15928, 1579, 304, 2694, 42068, 37633, 624, 22171, 6755, 58791, 458, 10489, 7725, 365, 4865, 6433, 16840, 932, 304, 38500, 5999, 25494, 80260, 6772, 66761, 2963, 13, 758, 137256, 2174, 3591, 12583, 387, 285, 2493, 2010, 41210, 220, 19, 15, 78233, 2694, 43999, 6395, 25985, 11, 304, 29505, 14134, 12385, 22475, 3591, 12583, 1531, 12222, 220, 16, 15, 78233, 13, 44979, 63940, 732, 32618, 490, 783, 13, 91513, 32030, 47650, 49536, 20404, 1241, 87818, 89, 590, 437, 11, 9740, 77, 36956, 28122, 423, 35505, 11, 595, 75024, 20005, 35708, 11, 93887, 23334, 92135, 39307, 2746, 18069, 1489, 2391, 64513, 939, 77779, 288, 54942, 4909, 2030, 2694, 72705, 88537, 7219, 2746, 43999, 13, 1527, 358, 991, 5174, 1274, 58791, 17917, 43303, 220, 16, 22, 49890, 331, 2185, 48435, 36702, 11595, 304, 220, 16, 17, 140275, 77, 13, 29317, 5986, 17029, 26109, 358, 991, 5174, 21982, 425, 25944, 2030, 2694, 142485, 425, 61869, 624, 36, 10453, 2694, 357, 13977, 74, 15795, 18069, 1489, 1854, 69, 9913, 23647, 84732, 9740, 77, 36956, 28122, 12, 2030, 37210, 791, 2185, 1991, 365, 3103, 89249, 5999, 2694, 773, 89, 19893, 15577, 2694, 88537, 11, 38805, 55248, 304, 12442, 2407, 11426, 624, 623, 661, 3591, 9325, 17442, 86498, 16366, 77340, 75018, 25, 330, 53750, 30632, 288, 49753, 11, 7219, 2429, 2746, 15928, 1579, 1424, 17454, 35141, 11, 5999, 2746, 7219, 43999, 10712, 730, 2382, 1123, 268, 668, 64177, 10938, 35780, 83592, 7180, 650, 4188, 1241, 288, 98675, 5451, 36077, 54504, 2030, 434, 7066, 13, 54068, 35780, 83592, 1365, 77556, 732, 25987, 65423, 1365, 5999, 25494, 18607, 265, 41538, 2030, 8896, 67703, 18069, 1489, 1854, 7219, 43999, 11, 773, 14948, 1531, 71765, 7180, 25494, 14410, 1241, 87818, 81936, 355, 5342, 3984, 4160, 83758, 5999, 11, 3371, 23388, 1242, 31008, 451, 65224, 3563, 95283, 74227, 355, 16789, 15141, 2712, 22956, 12, 12741, 773, 89, 815, 12, 76791, 14274, 10559, 8104, 8896, 67703, 18069, 1489, 1854, 7219, 2746, 6755, 68, 457, 7180, 30512, 7725, 365, 4865, 12318, 47626, 579, 50499, 624, 12, 2362, 89507, 2694, 18520, 135453, 6433, 7659, 645, 64015, 18859, 6969, 32863, 12643, 11, 14948, 77556, 294, 4775, 3818, 773, 41983, 43999, 5451, 75260, 14408, 336, 12385, 47332, 1536, 336, 773, 89, 815, 12, 76791, 14274, 17739, 8104, 732, 4929, 66075, 939, 6252, 276, 86, 86873, 724, 10489, 7725, 365, 34966, 47650, 11, 10712, 43999, 5451, 305, 2267, 336, 773, 89, 815, 12, 76791, 14274, 17739, 8104, 624, 12, 78596, 12583, 137943, 261, 10489, 7725, 365, 34966, 10712, 619, 11595, 624, 12, 61223, 7272, 10712, 4368, 422, 1003, 22924, 2694, 43999, 12583, 10552, 6772, 49183, 624, 12, 43999, 11, 2746, 5883, 13002, 40499, 2185, 16540, 1242, 16030, 11, 16540, 1242, 16030, 10928, 137943, 261, 41150, 1942, 13820, 2126, 134291, 440, 11, 650, 138645, 6538, 3371, 20317, 268, 2694, 3984, 4160, 12385, 2694, 50790, 70, 21673, 422, 27097, 939, 25987, 325, 71, 724, 624, 12, 25987, 65423, 66983, 939, 12838, 724, 11, 4368, 5883, 12010, 261, 14033, 732, 43999, 64474, 39307, 25987, 325, 71, 39537, 1242, 6538, 18520, 10712, 220, 16, 794, 28865, 462, 12353, 12583, 434, 9913, 23647, 11, 58319, 2746, 69590, 94213, 88185, 7180, 30512, 7725, 365, 4865, 83630, 6772, 59801, 2956, 12032, 624, 12, 8408, 77094, 7294, 17058, 88537, 12709, 71, 8138, 77, 9089, 13279, 135720, 37285, 4865, 11, 50697, 704, 13279, 53363, 36433, 7180, 91970, 89249, 2030, 2429, 9740, 77, 36956, 28122, 423, 35505, 13, 43999, 12709, 71, 8138, 77, 49536, 18520, 52716, 386, 28658, 4160, 10712, 3371, 647, 2305, 4160, 624, 12, 19000, 135720, 37285, 4865, 6538, 16840, 932, 2030, 23257, 351, 932, 305, 25423, 83, 5451, 2429, 135720, 37285, 4865, 2694, 2263, 63923, 10316, 732, 77779, 288, 54942, 285, 53383, 13, 23257, 1409, 2816, 55339, 5451, 139554, 261, 69590, 94213, 88185, 6395, 650, 4188, 1241, 336, 98675, 11, 22075, 1531, 10928, 2694, 77779, 288, 54942, 285, 18060, 624, 96347, 1579, 22589, 48376, 265, 55339, 198, 54, 337, 75313, 16366, 77340, 44628, 529, 93328, 9820, 357, 13977, 74, 485, 3184, 986, 36616, 6538, 2341, 8345, 613, 7219, 43999, 1147, 50159, 88718, 798, 1032, 10561, 373, 13, 8408, 83423, 14387, 6433, 91452, 423, 15897, 37633, 11595, 7180, 2739, 69046, 2185, 3492, 965, 485, 35780, 83592, 41488, 724, 2694, 17210, 7231, 50368, 1960, 8793, 13, 12741, 29003, 28324, 59330, 2185, 5999, 10928, 2746, 6250, 14383, 73612, 57804, 12098, 14321, 13, 422, 395, 2746, 35780, 83592, 6616, 12838, 423, 35505, 6538, 16840, 932, 37146, 37228, 258, 1489, 355, 267, 11, 16540, 42469, 2746, 49890, 9034, 4368, 450, 332, 343, 304, 54649, 7659, 645, 387, 48414, 13, 43999, 2816, 55339, 2429, 77, 610, 137943, 261, 6395, 24079, 3612, 15504, 2030, 59739, 26824, 12385, 16467, 1960, 12307, 23129, 11, 22075, 9911, 6395, 36115, 35780, 83592, 458, 45061, 2717, 17630, 481, 2030, 82664, 10928, 24929, 11, 22075, 34749, 3984, 4160, 6616, 83880, 18607, 33254, 13, 16887, 9911, 80617, 71765, 98675, 6395, 9089, 11, 6616, 9911, 83880, 8793, 22163, 4370, 11, 14211, 7997, 52507, 9911, 2746, 35780, 83592, 67952, 342, 81184, 17630, 624, 6582, 4160, 74453, 16034, 79192, 3371 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25987, 325, 1923, 9421, 2429, 40407, 54649, 43999, 18607, 1020, 268, 13, 16887, 34542, 10928, 8793, 773, 36077, 5699, 45258, 11, 51939, 9911, 17630, 9820, 647, 29886, 695, 69, 3122, 27391, 624, 54370, 1863, 58193, 524, 40308, 939, 1967, 579, 77, 449, 31500, 3696, 332, 2030, 386, 7687, 467, 36964, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 17, 481, 12741, 21809, 65, 10938, 386, 23348, 331, 11, 2694, 15462, 730, 567, 977, 16034, 55734, 6433, 1411, 84642, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 17, 198, 22171, 21809, 65, 10938, 386, 23348, 331, 11, 2694, 15462, 730, 567, 977, 16034, 55734, 6433, 1411, 84642, 198, 38, 288, 54081, 4320, 1194, 46680, 11, 220, 21, 13, 72124, 220, 17, 15, 16, 22, 198, 42, 567, 977, 20445, 25, 330, 22171, 23276, 331, 15719, 68009, 304, 467, 15113, 22385, 12222, 304, 55734, 6433, 2030, 60352, 309, 26612, 387, 709, 4905, 268, 1, 320, 19002, 340, 53, 263, 730, 567, 977, 8397, 20445, 11, 33781, 266, 9156, 11, 6938, 220, 16, 19, 198, 32617, 5999, 4368, 259, 4738, 384, 80587, 1942, 3492, 337, 642, 33278, 11, 55248, 730, 567, 977, 20445, 82, 98877, 1923, 288, 11, 68009, 12385, 59765, 659, 758, 36744, 16936, 41852, 44914, 20445, 835, 6772, 38897, 16840, 22385, 304, 47803, 2030, 2746, 92979, 53936, 12493, 5191, 21673, 8907, 1704, 2185, 11, 10712, 2714, 2746, 38747, 1113, 645, 305, 2210, 1704, 89, 538, 11, 4443, 9740, 25329, 285, 958, 69, 6395, 12643, 13, 758, 36744, 75020, 406, 883, 9421, 72313, 6772, 13785, 19349, 9179, 288, 55397, 11, 38897, 5282, 632, 444, 17149, 2391, 265, 2694, 8913, 70628, 730, 447, 24803, 2030, 2746, 1260, 321, 6433, 2030, 576, 1609, 268, 11, 2746, 19349, 9774, 2712, 27684, 21558, 3342, 17630, 11, 39307, 38897, 10890, 24468, 1038, 2301, 595, 587, 337, 10559, 65754, 7219, 2746, 77748, 20005, 44966, 624, 17360, 5999, 387, 50591, 77, 408, 11, 14948, 2694, 49586, 13, 6156, 70856, 11, 4368, 61805, 261, 7977, 461, 8656, 32708, 42584, 958, 69, 11, 6395, 59228, 94505, 72101, 1960, 9460, 23647, 93096, 13, 45481, 20445, 35141, 2746, 330, 623, 25720, 479, 48253, 1, 25531, 7219, 17058, 22539, 36964, 25570, 1952, 6538, 2694, 54092, 939, 42786, 633, 1440, 406, 19349, 25, 289, 7294, 9820, 38650, 2185, 4886, 404, 1528, 17790, 9820, 11, 2746, 1501, 410, 974, 320, 1241, 18020, 8, 16942, 74, 27899, 16053, 5999, 624, 46, 723, 5999, 883, 14862, 17917, 11, 2746, 468, 13573, 92182, 36108, 33278, 288, 6395, 10489, 1902, 2637, 268, 13, 19000, 5999, 65733, 11, 51939, 1531, 41852, 265, 20319, 11, 13368, 6616, 33278, 25620, 73461, 26109, 25, 19767, 2746, 2058, 268, 44336, 7714, 36108, 502, 11595, 386, 23348, 55457, 11, 3240, 32619, 34307, 47435, 645, 6538, 2694, 32050, 802, 267, 2636, 2185, 11, 2694, 458, 28811, 4818, 1536, 960, 6774, 65, 13, 9740, 64015, 8793, 18520, 65562, 7522, 11, 773, 14948, 2694, 730, 567, 977, 40662, 18520, 76, 1127, 304, 2694, 3680, 665, 72, 6538, 2825, 13256, 9057, 1387, 665, 2030, 42046, 5451, 58442, 7963, 69, 20783, 13820, 2030, 5451, 58442, 304, 17058, 7577, 42950, 20542, 87943, 33235, 13820, 11, 2746, 330, 258, 2694, 794, 4517, 29167, 23647, 26109, 2030, 5699, 896, 343, 408, 289, 53152, 3263, 18069, 450, 332, 343, 8896, 24440, 13393, 20445, 13368, 19349, 17699, 1389, 77779, 3893, 30781, 11595, 11, 330, 18982, 18131, 802, 304, 2746, 467, 15113, 22385, 2694, 422, 17707, 74227, 332, 85885, 22956, 47789, 288, 33278, 11, 13368, 19349, 647, 1775, 61673, 11, 5999, 6616, 78796, 285, 36108, 8688, 268, 88072, 5451, 2429, 1422, 12070, 2956, 14406, 7522, 9936, 37122, 51736, 7767, 266, 13, 7767, 266, 11, 2694, 2746, 22080, 89493, 2694, 95817, 939, 730, 567, 23695, 41150, 83049, 8896, 11, 4443, 9911, 71935, 261, 6395, 2739, 896, 23129, 1934, 624, 1254, 1110, 2136, 520, 587, 337, 713, 24380, 6830, 15194, 3183, 351, 9918, 1112, 41978, 4686, 1331, 321, 763, 5894, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 16, 481, 94063, 811, 90167, 25, 28275, 2694, 330, 36, 383, 7180, 12304, 1, 35141, 2694, 330, 37, 20933, 3591, 423, 52015, 1, 58065, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 16, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 24, 481, 38650, 38130, 5676, 73689, 13, 59092, 220, 17, 18, 25, 20, 16, 3651, 551, 72, 25, 220, 20, 24, 50130, 665, 2739, 1149, 11687, 488, 22940, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 24, 198, 95554, 295, 5215, 16034, 479, 17, 15, 12010, 573, 58267, 198, 1254, 1110, 2136, 1253, 2385, 85, 2285, 92750, 275, 1579, 14953, 32997, 10938, 12, 10141, 75, 1112, 273, 16, 24, 24, 17, 19, 18, 19, 24, 2564, 198, 62730, 220, 15, 15, 25, 16, 20, 431, 1241, 220, 17, 15, 85401, 54834, 304, 42678, 1466, 5428, 309, 488, 22940, 57, 86, 17739, 220, 16, 15, 2030, 220, 17, 15, 85401, 54834, 12583, 14840, 5205, 13279, 3371, 50244, 331, 265, 275, 11595, 18859, 4370, 46646, 30179, 11, 75018, 50062, 38185, 331, 21062, 42301, 6538, 3371, 1527, 36601, 932, 2694, 22992, 12010, 17, 15, 9420, 7291, 54581, 330, 13936, 311, 23887, 3263, 9740, 10207, 89131, 9089, 49536, 7219, 50244, 8535, 6538, 1527, 86, 29802, 1960, 2694, 85401, 54834, 13, 8408, 3651, 551, 72, 34542, 15719, 17790, 59765, 6395, 38650, 38130, 5676, 73689, 624, 18175, 472, 46675, 3651, 551, 72, 70430, 295, 11, 14948, 1531, 13279, 3371, 88687, 60352, 14033, 5679, 304, 50462, 40897, 4443, 2746, 36659, 68, 34699, 3371, 479, 17, 15, 12010, 573, 58267, 61550, 220, 20, 24, 2739, 1149, 89282, 3651, 551, 579, 14580, 665, 27298, 13, 1863, 58193, 6395, 2739, 1149, 89, 1960, 85401, 54834, 30005, 4370, 8793, 13906, 11, 773, 2746, 3651, 551, 72, 624, 77, 2385, 85, 2285, 14821, 8495, 304, 36744, 36211, 295, 5215, 304, 3371, 93688, 19875, 350, 8535, 13785, 35951, 40897, 4443, 3371, 479, 17 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15, 12010, 573, 58267, 7219, 2429, 4929, 1704, 19875, 95723, 13, 19000, 1494, 65161, 96042, 25, 220, 21, 13, 72124, 220, 17, 15, 16, 22, 11, 220, 20, 13, 72124, 220, 17, 15, 16, 22, 624, 2183, 6712, 25, 308, 2385, 85, 2285, 1154, 3873, 14109, 2493, 4437, 768, 7382, 2576, 3446, 6595, 68315, 198, 1254, 1110, 2136, 1253, 2385, 85, 2285, 92750, 275, 1579, 14953, 300, 46967, 65161, 1112, 273, 16, 24, 24, 17, 17, 24, 20, 24, 2564, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 24, 481, 659, 72124, 220, 17, 15, 16, 22, 481, 220, 16, 16, 13, 16, 19, 38183, 49192, 647, 13820, 307, 42603, 2694, 330, 67, 392, 685, 1, 2694, 57093, 730, 567, 977, 11, 2472, 665, 304, 2694, 14101, 723, 19767, 3371, 31643, 267, 11, 6538, 8677, 299, 6879, 1571, 198, 20, 13, 72124, 220, 17, 15, 16, 22, 481, 220, 16, 16, 13, 16, 19, 38183, 198, 57, 324, 647, 13820, 307, 42603, 2694, 330, 67, 392, 685, 1, 2694, 57093, 730, 567, 977, 11, 2472, 665, 304, 2694, 14101, 723, 19767, 3371, 31643, 267, 11, 6538, 8677, 299, 6879, 1571, 198, 17360, 26109, 1079, 220, 17, 22, 13, 80157, 141871, 11, 220, 17, 15, 16, 22, 647, 266, 22222, 44999, 11, 2694, 33328, 370, 408, 939, 730, 2382, 5323, 2356, 82, 11, 4368, 330, 4114, 798, 36518, 458, 3371, 730, 567, 977, 6538, 27705, 392, 685, 6, 3670, 25620, 73461, 6538, 42250, 77, 18095, 467, 3104, 539, 659, 758, 36744, 36518, 77449, 16111, 2746, 730, 53790, 2305, 273, 1154, 4443, 34749, 12380, 268, 2030, 8793, 6395, 24714, 13785, 66693, 30353, 8495, 2746, 2988, 36772, 939, 51032, 4280, 624, 18175, 32175, 42316, 268, 140917, 12583, 6538, 40462, 1644, 1960, 11, 2746, 16111, 6616, 10230, 2030, 15908, 308, 40193, 67594, 510, 32, 8, 6616, 30909, 11, 4443, 13818, 68, 6538, 3371, 32175, 65, 21673, 330, 30124, 86, 1268, 343, 51707, 1, 3161, 12495, 481, 4116, 30353, 2746, 43327, 481, 330, 26493, 97144, 4166, 306, 17739, 31643, 300, 88599, 70578, 268, 6395, 17324, 54749, 16030, 11, 304, 2429, 1531, 140385, 11, 14948, 304, 4368, 6433, 434, 32251, 268, 8896, 28853, 2746, 4093, 8345, 500, 258, 2694, 38767, 2396, 6817, 3893, 21545, 529, 1, 2030, 24929, 80129, 3818, 9911, 6395, 9820, 52287, 83141, 383, 6538, 2823, 674, 15938, 11595, 11, 10928, 304, 3377, 6538, 70777, 11, 14948, 2694, 31643, 267, 63620, 2694, 330, 2082, 21062, 2863, 28122, 29159, 36702, 939, 66968, 57093, 4172, 392, 685, 14913, 58881, 10638, 12709, 93016, 11, 304, 48803, 336, 47355, 6538, 330, 6091, 50280, 1187, 295, 87475, 1, 6395, 85239, 66124, 624, 33, 8, 8408, 1352, 1574, 2521, 17395, 2185, 13818, 68, 2714, 6130, 932, 94718, 665, 50244, 8535, 939, 62558, 2396, 2338, 13785, 2746, 6753, 25288, 10559, 35183, 266, 11, 2030, 5699, 11567, 26824, 64069, 355, 11, 14948, 330, 47, 18321, 88599, 481, 289, 15422, 72, 2694, 13409, 69, 61673, 939, 4864, 2142, 300, 939, 1260, 321, 6433, 4229, 74360, 11, 2694, 40662, 10928, 732, 4622, 268, 4878, 1571, 2356, 143037, 320, 45702, 6538, 794, 13, 75852, 83369, 7946, 8, 512, 4079, 665, 481, 26933, 13920, 343, 465, 41210, 50837, 3371, 13409, 42477, 2694, 566, 321, 6433, 87727, 16192, 6538, 25620, 1122, 33370, 2030, 26252, 3893, 383, 404, 266, 295, 11, 87862, 143053, 47650, 274, 1775, 69, 41203, 343, 668, 37285, 11706, 12643, 13, 6228, 40369, 5436, 33827, 11, 26769, 13818, 68, 6395, 312, 351, 16030, 11, 9421, 2694, 54936, 14668, 83141, 383, 1191, 268, 11, 10712, 1487, 16053, 36852, 57926, 408, 25, 304, 2694, 62467, 11, 22075, 12304, 8536, 75, 11595, 939, 6879, 1571, 78, 43303, 25531, 72734, 2030, 21784, 17149, 2030, 2739, 1023, 408, 481, 7180, 2746, 14211, 23455, 350, 1862, 1777, 2694, 21982, 31643, 267, 9421, 4188, 776, 7522, 14821, 481, 2746, 1230, 1859, 17958, 2257, 26612, 320, 2267, 811, 8907, 2391, 14553, 34966, 2185, 7180, 387, 285, 2493, 2010, 41210, 2694, 758, 39416, 939, 66850, 2831, 11, 2746, 23334, 138087, 11, 21506, 69507, 2746, 6250, 75, 2717, 2257, 2185, 14410, 1528, 12032, 5999, 11, 2746, 350, 1862, 1777, 11, 14948, 9820, 62558, 265, 5999, 58325, 20504, 12385, 26252, 71, 6181, 11, 4992, 2572, 4992, 24389, 12385, 11, 22075, 55928, 330, 1489, 1000, 11984, 285, 1, 939, 435, 85584, 17739, 39770, 333, 327, 50926, 10712, 14254, 1728, 2030, 25531, 6454, 81184, 12643, 2714, 8187, 932, 2030, 304, 94885, 14785, 2746, 6170, 485, 93716, 12543, 2185, 2694, 8280, 2305, 392, 6433, 11, 58881, 2746, 328, 1777, 6395, 18597, 77, 25620, 76166, 12643, 624, 641, 2694, 62467, 5999, 6616, 62558, 2396, 83, 2694, 25527, 1528, 54548, 6772, 4368, 135720, 320, 26493, 11, 572, 2746, 25527, 1528, 7180, 3371, 479, 4260, 75967, 5699, 43183, 5178, 701, 6538, 69507, 60637, 8793, 12304, 50244, 8535, 3371, 29003, 28324, 78445, 17630, 26, 304, 38684, 93504, 268, 11, 8793, 12304, 48686, 132894, 11595, 481, 1508, 1126, 17958, 4166, 306, 16053, 348, 1775, 59378, 54708, 481, 9911, 2714, 8187, 932, 6616, 29003, 12063, 11331, 7997, 458, 93716, 12543, 2185, 13, 19000, 330, 67, 392, 685, 1, 43327, 10928, 53797, 1853, 33370, 11, 6395, 20226, 96049, 11, 12442, 9034, 78445, 9911, 9820, 65754, 304, 17443, 31467, 7219, 17058, 25570, 1952, 74675, 2030, 15462, 6095, 13518, 36518, 458, 2746, 425, 16053, 2956, 1859, 320, 67, 2574, 25038, 13, 467, 3104, 539, 4937, 10712, 835, 70, 89541, 7256, 72077, 367, 268, 701, 2746, 97144, 8793, 141871, 7219, 330, 2414, 64, 46759, 337, 3001, 68, 35278, 285, 3263, 74303, 6772, 12583, 97144, 48686, 132894, 11595, 939, 31643, 267, 288, 11, 51290, 11, 13368, 304, 32175, 42316, 330, 43, 27899, 35723, 2356, 497, 220, 17, 20, 11, 2694, 21794, 2694, 1863, 4733, 129602, 50499, 27684, 74063, 529, 330, 11855, 2429, 4864, 51767, 2694, 66850, 1123, 68, 12385, 6616, 14612, 277, 1440, 13906, 89, 51078, 54708, 9820, 94718, 665, 62558, 265, 12385, 773, 89, 355, 8535, 1, 12643, 11834, 7997, 510, 37, 56364, 16111, 6975, 11, 19767, 364, 1127, 79192, 2974, 18175, 92364, 88795, 20005, 2988, 768, 37400, 88072, 2030, 869, 36518, 68, 36108, 39770, 333, 327, 2714, 8187, 932, 481, 6538, 34542, 481, 6616, 29003, 12063, 11331, 7997, 458, 93716, 12543, 2185, 62558, 265 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13785, 2746, 13409, 69, 25423, 25151, 423, 71, 28658, 2185, 19767, 66850, 1123, 68, 348, 1775, 59378, 54708, 13368, 11264, 72, 18213, 392, 3808, 1844, 48519, 3362, 68, 28460, 5918, 6, 364, 37, 40405, 285, 67603, 815, 6, 601, 86, 13, 12385, 8495, 20048, 63620, 13093, 268, 2712, 304, 2823, 72101, 7219, 26769, 88072, 12385, 33278, 267, 40308, 330, 69, 28658, 4160, 30, 8408, 65754, 51528, 21982, 62558, 2396, 83, 34542, 16111, 3893, 42316, 11, 19767, 3371, 425, 823, 2636, 75, 330, 8002, 372, 6250, 275, 3605, 1, 220, 16, 24, 24, 15, 330, 50528, 32914, 642, 64, 24619, 8907, 1704, 2185, 939, 576, 1609, 268, 1, 668, 11, 19104, 10928, 6538, 42250, 77, 467, 3104, 539, 66386, 21519, 406, 510, 67049, 68627, 15719, 1531, 348, 669, 46646, 11, 14948, 4368, 576, 1609, 68, 70777, 6395, 11, 3893, 42316, 268, 32595, 59801, 2956, 12032, 15719, 11, 2746, 90817, 11, 2746, 3377, 12385, 3371, 758, 39416, 17058, 70578, 13, 7946, 11, 2746, 6538, 69507, 2746, 48158, 68876, 2746, 11331, 7997, 42153, 88185, 2694, 70578, 268, 6395, 26956, 50958, 5999, 11, 2994, 9911, 6538, 2694, 5166, 2694, 66850, 1123, 68, 50232, 1440, 11, 6616, 14612, 277, 1440, 9820, 62558, 265, 2030, 19767, 2746, 5166, 2030, 1205, 1064, 13906, 89, 51078, 54708, 9421, 89, 661, 81, 91639, 34542, 16303, 936, 25714, 53165, 14785, 50926, 1531, 11316, 9820, 29247, 5744, 2185, 31008, 47227, 4114, 268, 22385, 19349, 633, 265, 360, 713, 2746, 62558, 265, 939, 62558, 2396, 2338, 6395, 17324, 54749, 16030, 11, 13368, 7180, 53165, 8280, 2305, 392, 6433, 2694, 73580, 1087, 309, 939, 479, 4260, 392, 724, 1494, 408, 5999, 13, 12741, 576, 1609, 68, 14821, 9089, 31915, 2391, 12032, 11, 24929, 26769, 62558, 265, 304, 71017, 758, 39416, 6395, 85104, 40697, 11, 304, 2694, 140917, 2030, 38897, 140917, 13, 23980, 14821, 9820, 36195, 2030, 52193, 36568, 7256, 93393, 290, 11, 26933, 275, 11, 44390, 34734, 1952, 59330, 2185, 6395, 312, 1301, 16030, 2030, 2746, 18069, 86, 90360, 6395, 548, 2391, 30353, 11, 2746, 6538, 59228, 45515, 48414, 69876, 47650, 13, 43997, 90039, 17058, 28847, 268, 1527, 66423, 968, 2185, 11, 1850, 40697, 2746, 29505, 1268, 343, 51707, 11, 5999, 1531, 2746, 42068, 37633, 939, 576, 1609, 268, 6395, 3371, 6879, 1571, 530, 14612, 9416, 5183, 81331, 6395, 37896, 11, 2746, 19767, 2746, 62558, 265, 7219, 37285, 269, 30353, 268, 74890, 2660, 304, 9089, 11, 304, 3371, 425, 14412, 34271, 11595, 11, 2746, 12385, 71765, 304, 2694, 5166, 2030, 1205, 1064, 348, 1775, 59378, 54708, 12643, 11, 13368, 1531, 548, 90930, 17029, 14821, 13, 9740, 14821, 8725, 304, 17443, 38053, 17739, 4229, 380, 11, 5451, 17443, 259, 4738, 268, 467, 80791, 11, 2746, 29505, 1268, 343, 51707, 6395, 76133, 11759, 13, 1345, 482, 18069, 86, 90360, 41762, 42469, 24929, 6395, 55813, 336, 11002, 21062, 54913, 387, 275, 56364, 2030, 10246, 78733, 14390, 17217, 7180, 6616, 62558, 2396, 83, 11, 2746, 62558, 265, 2694, 25527, 1528, 304, 140370, 261, 58725, 1859, 6395, 5699, 54708, 2030, 70336, 62702, 2825, 34271, 268, 11993, 39, 648, 269, 383, 83592, 6538, 6975, 4292, 32, 1387, 65520, 3187, 355, 11, 304, 16625, 220, 17, 330, 4260, 295, 87475, 3303, 50280, 497, 5699, 265, 20319, 510, 1, 18175, 26692, 9111, 36614, 2694, 7219, 37285, 269, 30353, 268, 70777, 8896, 6975, 2746, 2806, 40231, 50499, 3893, 96695, 11845, 89, 18187, 5679, 7577, 72, 22385, 5451, 17058, 22539, 36964, 91853, 11, 15659, 17739, 11, 8913, 70628, 2030, 89271, 268, 6395, 5198, 4738, 268, 13, 8408, 93393, 290, 2694, 42068, 1118, 261, 2030, 576, 1609, 268, 5999, 1531, 4258, 84, 2746, 25527, 1528, 11, 384, 4079, 6772, 11, 1931, 380, 16053, 11, 595, 1222, 344, 11, 6975, 18520, 730, 13796, 22385, 6395, 55449, 28324, 11, 14821, 82197, 13, 6228, 81761, 2694, 47227, 55754, 2694, 2918, 68, 20048, 16111, 73689, 11, 14948, 11, 22075, 1531, 537, 40231, 343, 5999, 11, 63620, 7577, 72, 89249, 5451, 91853, 1626, 8535, 6395, 5198, 4738, 268, 11, 2030, 22075, 8495, 6395, 17443, 35323, 268, 576, 1609, 268, 20048, 81331, 52549, 2746, 6879, 1571, 530, 14612, 9416, 5183, 2746, 19767, 2746, 62558, 265, 7219, 37285, 269, 30353, 268, 74890, 2660, 304, 8652, 11, 304, 3371, 425, 14412, 34271, 11595, 11, 2746, 348, 1775, 59378, 54708, 12643, 12385, 71765, 304, 2694, 5166, 2030, 1205, 1064, 11, 304, 2694, 9911, 294, 32381, 32863, 11, 2994, 8725, 312, 331, 13730, 128123, 19767, 2746, 62558, 265, 77094, 7294, 2694, 25527, 1528, 633, 276, 12643, 11, 4443, 61550, 730, 53790, 2305, 273, 11, 34096, 2746, 48158, 31643, 267, 288, 8907, 962, 5267, 32, 1387, 732, 89507, 31008, 5166, 6538, 18069, 79810, 5999, 2694, 42250, 467, 3104, 539, 348, 1087, 34966, 6395, 73689, 11, 14948, 1531, 6395, 17058, 330, 627, 35649, 35070, 265, 5840, 324, 1, 939, 31643, 267, 288, 304, 37337, 268, 939, 479, 4260, 392, 724, 8793, 50837, 5999, 26, 2714, 75018, 11, 14948, 330, 641, 2823, 72101, 7219, 3371, 77420, 21673, 362, 39470, 268, 13368, 2746, 35070, 265, 5840, 324, 6538, 794, 13, 6898, 6395, 794, 13, 11044, 11, 20624, 268, 6250, 35505, 14047, 794, 13, 6898, 11, 2694, 6538, 17443, 31643, 267, 98863, 6817, 321, 4116, 11, 12385, 2746, 328, 34271, 81760, 50499, 2694, 47332, 301, 37277, 21673, 393, 2305, 79, 5342, 11, 24929, 11937, 11, 1531, 5999, 50837, 11, 9820, 35070, 265, 5840, 324, 11, 19104, 304, 2823, 72101, 7219, 70777, 939, 479, 4260, 392, 724, 2030, 2694, 88506, 3893, 73790, 3342, 10712, 47355, 939, 15098, 615, 4865, 82, 5999, 1531, 8793, 50837, 13, 6228, 80515, 9740, 77131, 2185, 2694, 77930, 2694, 25527, 1528, 21864, 71168, 51528, 11, 2746, 6975, 3371, 14785, 6538, 40462, 393, 2305, 79, 15795, 66238, 11, 2739, 324, 55632, 665, 2714, 2746, 61217, 11, 54936, 632, 26647, 23455, 312, 54327, 11, 2746, 24131, 331, 83090, 7180, 91853, 140917, 624, 18175, 61217, 4116, 59117, 1924, 67, 1020, 4330, 31643, 267, 41944, 9156, 358, 320, 83262, 220, 21, 18, 23, 701, 13065, 15151, 343, 304, 72440, 15438, 266, 273, 7964, 11, 19104, 2839, 17149, 344, 2739, 69046, 6772, 7180, 730, 42189, 485, 72, 3128, 8767, 70291, 27684, 2956, 6498, 529, 6395, 17630, 13, 34903, 62459, 8793, 304, 2746, 67232, 11, 1508, 48614, 15908, 31281, 7070, 16053, 6454, 81184, 12643, 15719, 12385 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8793, 26, 54548, 6772, 4116, 1531, 505, 74, 19786, 359, 449, 17029, 320, 2203, 10032, 336, 8, 2030, 2714, 6023, 3818, 57093, 328, 89493, 25, 2746, 61217, 21982, 40577, 6538, 91187, 1164, 14429, 320, 21, 23, 15, 12, 21, 23, 16, 701, 2746, 54936, 632, 6538, 64573, 65391, 7946, 320, 21, 23, 18, 701, 2746, 294, 98280, 6538, 2429, 23388, 89, 321, 6538, 17552, 2305, 64, 320, 22, 23, 22, 701, 2746, 3275, 13820, 304, 16824, 23388, 89, 321, 6538, 23388, 4706, 258, 453, 301, 320, 23, 21, 24, 12, 23, 22, 15, 4292, 22171, 54936, 632, 31643, 267, 11, 2694, 304, 4368, 6433, 53936, 8536, 75, 11595, 2694, 22539, 2956, 24134, 21673, 4878, 1571, 2356, 36719, 665, 11, 4116, 3757, 29288, 5543, 320, 16, 17, 19, 24, 12, 16, 18, 18, 19, 568, 9740, 26109, 6538, 72440, 4182, 25651, 17239, 2391, 5178, 11, 730, 567, 977, 8907, 94574, 3845, 89023, 455, 320, 16, 17, 23, 15, 12, 16, 18, 20, 17, 701, 2030, 773, 64015, 2714, 31287, 21176, 11, 70984, 13906, 72440, 58583, 11, 63620, 50244, 8535, 11, 2746, 48614, 31281, 7070, 16053, 6454, 81184, 43243, 5183, 13, 54105, 29288, 5543, 42668, 2755, 51898, 295, 11, 304, 57519, 13222, 321, 3591, 304, 7519, 61699, 17837, 4738, 529, 11, 2746, 47226, 220, 16, 13, 6702, 220, 16, 18, 18, 16, 2030, 220, 20, 13, 4350, 18731, 220, 16, 18, 18, 17, 11, 14948, 2746, 1345, 8398, 2694, 479, 485, 42888, 43243, 5183, 8793, 7219, 2746, 11806, 7256, 5016, 2863, 650, 91184, 2257, 14047, 2429, 58583, 12385, 14047, 2823, 408, 42603, 3841, 709, 1859, 8801, 11, 51290, 34368, 14047, 2694, 32050, 802, 267, 2636, 2185, 2030, 2429, 619, 2391, 968, 15795, 19929, 4865, 84911, 301, 27277, 12643, 13, 55448, 12412, 5999, 2694, 47227, 7180, 2746, 35070, 265, 5840, 324, 4116, 12222, 2746, 62558, 265, 624, 48047, 47827, 10928, 73689, 11, 14948, 2694, 47227, 11, 4116, 372, 11044, 2746, 16171, 46621, 939, 566, 321, 6433, 6898, 355, 25658, 12844, 11, 4116, 8793, 12222, 330, 318, 49633, 83820, 7219, 2746, 77420, 20005, 467, 14136, 2185, 5123, 1531, 4116, 4368, 30872, 465, 4818, 16672, 304, 37337, 268, 939, 479, 4260, 392, 724, 11, 13368, 6616, 61217, 6250, 35505, 31643, 267, 481, 1508, 1126, 17958, 2714, 9820, 20226, 546, 33328, 54377, 42668, 320, 258, 2694, 62467, 2739, 6023, 3818, 9089, 13368, 4368, 1260, 1387, 1536, 26, 348, 6072, 10620, 220, 17, 11, 220, 16, 18, 8, 481, 4116, 8793, 2746, 467, 15113, 22385, 939, 54706, 2356, 82, 320, 10620, 220, 17, 11, 220, 16, 19, 8, 67594, 883, 6395, 2694, 9305, 1466, 2660, 2739, 273, 14668, 11, 14948, 63620, 647, 1087, 16789, 333, 1960, 939, 22686, 2782, 7522, 20404, 295, 31793, 95723, 58881, 25531, 17790, 9820, 22539, 15398, 29189, 2185, 4886, 2944, 11, 2030, 94567, 2746, 1260, 12487, 50926, 13368, 11213, 268, 97872, 624, 81761, 94885, 14785, 17630, 2746, 57093, 730, 53790, 2305, 273, 79913, 647, 79985, 13363, 139906, 17790, 304, 2694, 330, 22113, 685, 3670, 17790, 732, 66968, 36518, 2030, 1527, 52015, 7219, 1527, 129602, 2185, 11, 7219, 9820, 22163, 70, 20005, 35070, 265, 5840, 324, 26, 1531, 5999, 11, 1147, 10110, 4979, 13906, 261, 267, 11, 8793, 18520, 4368, 1527, 11567, 4370, 36108, 94718, 1960, 23963, 288, 6538, 23998, 7409, 355, 1389, 89730, 5999, 1154, 14948, 2746, 730, 53790, 2305, 273, 34542, 624, 17360, 5999, 1007, 724, 4865, 6772, 11, 14948, 26769, 31357, 22539, 15398, 73255, 7219, 94572, 5166, 6538, 23388, 6951, 367, 6395, 62459, 11, 51290, 5436, 44977, 11, 304, 55928, 472, 1330, 4865, 11, 5451, 2429, 31643, 267, 6395, 65562, 7522, 11, 304, 2694, 93719, 6616, 93898, 22079, 6395, 387, 383, 7964, 624, 57, 324, 647, 13820, 307, 42603, 939, 5869, 67, 392, 685, 1, 2694, 57093, 730, 567, 23695, 11, 2472, 665, 304, 2694, 14101, 723, 6538, 31643, 267, 671, 671, 4463, 5963, 3511, 23353, 44359, 3362, 198, 19957, 28095, 47008, 8495, 6975, 2746, 13818, 68, 6538, 42250, 77, 467, 3104, 539, 548, 2391, 30353, 11, 2765, 610, 2746, 1527, 11567, 4370, 2030, 330, 67, 392, 685, 1, 43327, 41544, 14412, 34271, 295, 13, 23334, 8725, 6395, 11460, 11, 86913, 10638, 3196, 31151, 268, 12222, 9820, 83141, 383, 6538, 70777, 11, 2746, 2694, 56872, 939, 36518, 288, 2746, 730, 53790, 2305, 273, 8343, 83, 9089, 11, 34699, 51292, 511, 1543, 2918, 288, 624, 35, 13, 220, 16, 481, 330, 17360, 4116, 4368, 4818, 16672, 11, 14948, 68009, 9820, 566, 307, 77, 10559, 650, 9995, 306, 517, 52817, 1963, 13820, 79551, 58881, 11, 32248, 370, 2894, 1519, 321, 1991, 59378, 37347, 6, 25655, 82197, 7521, 624, 49, 13, 481, 8408, 92660, 6538, 32248, 370, 6395, 330, 1519, 321, 1991, 59378, 37347, 1, 5999, 8793, 7219, 59785, 2694, 350, 1862, 1777, 11, 14948, 9911, 9820, 52817, 1963, 13820, 4116, 13, 20004, 31008, 350, 1862, 1777, 15719, 1531, 19349, 11, 14948, 10928, 52817, 1963, 13820, 2952, 14668, 67317, 320, 133238, 18520, 91717, 43183, 392, 7256, 8, 20048, 62702, 35780, 440, 11460, 11, 5451, 92660, 2694, 140526, 21673, 95151, 1021, 26, 19104, 8725, 81831, 295, 8793, 11, 14948, 32248, 370, 11, 90039, 2694, 77930, 939, 1260, 8669, 387, 343, 295, 56364, 6395, 17630, 11, 2746, 2714, 3739, 1127, 566, 321, 24129, 610, 10938, 95151, 1021, 320, 704, 78733, 97168, 44275, 48614, 304, 2694, 95506, 19349, 11, 2746, 468, 29272, 380, 645, 6395, 308, 21519, 932, 8, 42668, 624, 35, 13, 220, 17, 481, 330, 17360, 4116, 4368, 4818, 16672, 11, 14948, 10588, 7180, 9820, 468, 383, 20512, 9034, 258, 1079, 34834, 5481, 1323, 359, 12495, 1501, 645, 65, 289, 23118, 2030, 76720, 2746, 95151, 1021, 2694, 54706, 285, 36616, 22539, 21519, 1440, 30, 9236, 4116, 4368, 4818, 16672, 11, 14948, 74021, 8793, 73689, 11, 47008, 8495, 3371, 29860, 11, 2694, 9911, 4116, 12385, 13368, 3240, 32619, 2030, 29505, 5191, 6395, 97872, 7521, 624, 49, 13, 481, 8408, 350, 1862, 1777, 11, 10207, 4865, 7714, 77509, 458, 11, 14948, 2746, 23166, 6433, 11, 2746, 304, 17443, 93716, 437, 2694, 328, 97310, 12583, 10928, 6538, 10588, 3686, 355, 65562, 7522, 20048, 11, 2030, 572, 36408, 1358, 6772, 5999, 11, 8793, 304, 17443, 93716, 437, 2694, 95151, 1021, 19349, 11, 1531, 6395, 11460, 26, 732, 98863, 6817, 321, 5999, 1531, 2746 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 357, 21545, 7256, 62558, 265, 2694, 25527, 1528, 11, 2746, 16111, 304, 17443, 93716, 437, 2694, 95151, 1021, 6395, 80617, 566, 321, 7256, 87727, 16192, 19349, 35141, 13, 2055, 512, 4079, 665, 2714, 794, 13, 75852, 83369, 7946, 25, 330, 40369, 93328, 17790, 76, 1127, 74054, 51721, 896, 23129, 11, 14948, 3000, 17029, 2030, 25531, 458, 44340, 2030, 794, 6712, 304, 2694, 25527, 1528, 19349, 11, 2746, 97504, 11, 14047, 2694, 6616, 23388, 89, 321, 6538, 12359, 306, 55879, 96815, 2122, 285, 16030, 3371, 92219, 709, 67746, 2185, 939, 46759, 2010, 6898, 355, 11, 14948, 6395, 73689, 11, 4443, 2746, 468, 29272, 380, 645, 304, 17443, 43243, 67, 6433, 6395, 57984, 2894, 50855, 35141, 6395, 261, 267, 38897, 328, 34271, 268, 49933, 40193, 11, 22075, 883, 9089, 26956, 355, 267, 350, 29697, 97310, 22022, 36, 638, 92237, 409, 468, 29272, 380, 685, 220, 18, 21, 9940, 5999, 624, 35, 13, 220, 18, 481, 330, 17360, 4116, 4368, 4818, 16672, 11, 14948, 10588, 15462, 47669, 30563, 263, 304, 2429, 20404, 42189, 40948, 1274, 85885, 42668, 9820, 468, 383, 20512, 9034, 258, 19767, 6616, 16809, 55632, 6395, 2112, 1960, 2714, 25658, 1167, 30, 758, 36744, 14785, 8896, 2694, 4229, 380, 939, 20404, 295, 31793, 11, 14948, 6616, 25620, 44914, 33370, 20404, 295, 31793, 10489, 1902, 331, 265, 41538, 9911, 16034, 1260, 321, 6395, 90845, 7521, 624, 49, 13, 481, 12741, 4229, 380, 939, 20404, 295, 31793, 8896, 6616, 43908, 25620, 44914, 1952, 20404, 42189, 96441, 965, 74, 19786, 4711, 11, 6616, 1260, 321, 2694, 51743, 6395, 90845, 11, 8793, 35323, 9421, 2694, 34506, 42603, 6395, 82195, 12495, 11, 51290, 10928, 21982, 36890, 6433, 58583, 6395, 387, 24716, 3591, 624, 35, 4288, 278, 65, 5999, 10588, 8793, 12222, 34749, 3457, 645, 5699, 9692, 11, 19104, 9911, 85389, 10928, 330, 82, 34271, 7256, 8793, 18520, 5123, 2030, 773, 9089, 2375, 477, 32863, 11, 14948, 58881, 11316, 304, 2694, 95506, 19349, 11, 14948, 9911, 8793, 10712, 328, 97310, 82197, 624, 32617, 38383, 20404, 42189, 939, 4229, 74360, 5999, 304, 2694, 62467, 50232, 3342, 12304, 1260, 321, 9878, 11, 90039, 2694, 29505, 94650, 939, 42786, 14047, 2429, 9740, 1279, 97310, 13, 44462, 29201, 331, 2142, 355, 2694, 32895, 337, 17739, 25527, 1528, 11, 304, 16625, 220, 16, 24, 22, 17, 330, 32617, 38383, 20404, 42189, 4081, 93339, 14821, 11, 48179, 6616, 20404, 42189, 2694, 95151, 1021, 11, 52507, 19767, 3371, 479, 4260, 75967, 2030, 2746, 38767, 2396, 6817, 11, 2739, 62785, 426, 2746, 64560, 2694, 95151, 1021, 11, 6395, 1424, 17454, 1, 2030, 10928, 8793, 2746, 328, 97310, 18520, 2030, 8793, 468, 383, 1323, 1387, 6395, 387, 709, 12032, 624, 35, 13, 220, 19, 481, 330, 26034, 74675, 16111, 3893, 380, 343, 732, 70944, 69, 34699, 502, 1952, 1345, 8398, 11, 56354, 2694, 95151, 1021, 11, 2746, 25620, 1122, 268, 2030, 26252, 2739, 383, 404, 266, 295, 11, 2694, 91929, 267, 81760, 2746, 77310, 2396, 306, 1574, 68832, 258, 42603, 5451, 10588, 289, 66107, 7522, 30, 34903, 2770, 43506, 268, 11, 14948, 8495, 8793, 39771, 7180, 9911, 74675, 30, 8408, 467, 16568, 9066, 84, 25, 364, 91992, 6395, 8652, 51528, 11, 3371, 86913, 10638, 304, 8793, 305, 2210, 355, 33052, 26824, 6, 320, 41, 2267, 220, 21, 11, 220, 18, 22, 8, 12643, 1757, 275, 8793, 7180, 9911, 17837, 1960, 7521, 624, 49, 13, 481, 1863, 359, 92975, 5999, 6395, 26956, 68, 23129, 11, 14948, 2746, 1345, 8398, 2694, 25620, 1122, 33370, 2030, 26252, 2739, 383, 404, 266, 33748, 76604, 273, 7964, 330, 1127, 29860, 2030, 51743, 1, 12583, 56354, 2694, 95151, 1021, 13, 54068, 50244, 424, 52549, 6975, 2770, 43506, 268, 11, 14948, 2746, 25038, 13, 467, 3104, 539, 8896, 31357, 25494, 20226, 546, 91513, 57926, 2185, 47226, 140526, 21673, 95151, 1021, 320, 38, 77, 1021, 11, 2746, 77549, 900, 11, 62702, 350, 13518, 6395, 11460, 26956, 50659, 11, 2746, 1032, 331, 8935, 529, 42603, 2694, 647, 29886, 485, 50158, 11, 2746, 8793, 650, 2721, 74919, 19767, 2746, 350, 1862, 1777, 11, 37896, 26769, 8536, 75, 11595, 55449, 4865, 8, 2030, 566, 321, 24129, 610, 10938, 95151, 1021, 624, 32, 1387, 12304, 3240, 2391, 1107, 6395, 26252, 8452, 268, 11, 2746, 8793, 304, 2694, 95151, 1021, 479, 48253, 11, 2746, 566, 321, 7256, 87727, 16192, 8793, 8486, 42477, 268, 15719, 11, 81831, 295, 8793, 11, 14948, 16111, 34699, 9911, 59095, 1307, 30353, 25, 13368, 883, 1531, 8793, 732, 70944, 69, 34699, 9911, 51620, 31580, 93837, 11, 10712, 2714, 85389, 11, 304, 330, 93428, 2396, 306, 372, 3261, 275, 3605, 497, 14948, 330, 60637, 25620, 1122, 268, 2030, 26252, 2739, 383, 404, 266, 295, 11, 90039, 54649, 68378, 11, 9911, 30632, 41557, 304, 2746, 25527, 1528, 142037, 11, 2746, 9911, 5451, 9057, 14184, 261, 328, 6670, 2030, 3371, 467, 80791, 2148, 273, 41538, 6395, 27418, 48414, 11, 773, 85117, 13368, 50837, 6616, 25769, 21673, 55397, 19767, 142832, 68947, 7256, 47355, 72164, 458, 2694, 386, 23318, 11, 22075, 10928, 28883, 87727, 16192, 11, 5451, 17443, 27785, 5191, 12385, 17443, 2157, 1571, 939, 3893, 380, 21673, 65314, 11, 472, 287, 8229, 458, 6616, 55397, 2694, 93719, 16034, 93504, 68009, 11, 2746, 384, 29272, 380, 10559, 1527, 28551, 2185, 11, 44336, 295, 11, 2746, 47355, 72164, 1079, 55397, 2694, 77775, 1330, 20542, 11, 384, 4079, 20005, 13393, 6395, 42759, 1440, 11, 796, 19985, 295, 2746, 27227, 23455, 11, 2746, 6250, 15897, 37633, 2185, 17312, 44492, 2185, 4443, 34749, 43999, 11993, 39, 648, 269, 383, 83592, 305, 40522, 4733, 30166, 5178, 4292, 35, 13, 220, 20, 481, 330, 26034, 7107, 14033, 42603, 939, 1260, 321, 6433, 31643, 267, 393, 9156, 39712, 11, 14948, 1863, 344, 457, 383, 7180, 2746, 32895, 337, 36433, 5999, 43786, 4865, 82, 323, 12917, 10712, 4368, 41852, 66897, 408, 288, 2030, 63573, 67, 6772, 23388, 74, 392, 258, 266, 58336, 55625, 51274, 3828, 65, 1038, 3295, 348, 674, 3427, 372, 4567, 6395, 64573, 51620, 52879, 93837, 3893, 21545, 529, 8896, 2714, 9057, 62713, 11, 14948, 6616, 1967, 307, 31008, 42786, 4368, 364, 38, 288, 7522, 74, 458, 2746, 25527, 1528, 6, 5999, 320, 54, 3818, 69, 20933, 1167, 64260, 11, 220, 17, 13, 80157, 220, 17, 15, 16, 17, 8, 7521, 624, 49, 13, 481, 8408, 69791, 50244, 8535, 8793 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9724, 388, 66693, 331, 6772, 12583, 11, 19104, 80260, 20005, 23388, 2986, 24151, 9421, 3612, 91639, 25, 2746, 467, 16568, 6538, 31643, 267, 51620, 31580, 93837, 512, 71, 1440, 6975, 11, 14948, 6616, 1967, 307, 481, 3893, 42316, 19767, 6616, 37210, 355, 267, 48435, 304, 2694, 328, 97310, 6395, 19349, 2030, 8793, 304, 2694, 95506, 6395, 19349, 11, 2746, 566, 321, 7256, 87727, 16192, 6395, 308, 21519, 932, 481, 1531, 15719, 6395, 3686, 72, 1967, 12487, 72943, 396, 12643, 2587, 12304, 26769, 53383, 1967, 12487, 20048, 2746, 140526, 21673, 95151, 21140, 9421, 40334, 408, 5999, 11, 4443, 3371, 4841, 268, 939, 328, 34271, 388, 6395, 26956, 19981, 9089, 2714, 42316, 11, 773, 14948, 2714, 36108, 350, 1134, 304, 2694, 95151, 1021, 479, 48253, 97872, 20048, 13, 141196, 51620, 31580, 93837, 11, 9421, 20624, 268, 52639, 46668, 11386, 383, 1527, 65423, 27684, 76166, 11, 2714, 8896, 9820, 8793, 10207, 2391, 14553, 4865, 6433, 647, 6215, 355, 746, 38132, 7180, 2746, 90817, 11, 2746, 38767, 2396, 6817, 304, 17443, 93716, 437, 2694, 328, 97310, 6395, 308, 21519, 932, 624, 16, 481, 12741, 36518, 6538, 42250, 77, 467, 3104, 539, 64208, 41203, 83758, 86, 35010, 10938, 91717, 268, 2863, 343, 51707, 2030, 4863, 41137, 11595, 11, 2746, 97144, 304, 54649, 23153, 43910, 6395, 73580, 1087, 309, 139115, 2429, 62558, 2396, 83, 11, 57465, 39337, 2746, 348, 6670, 1323, 53776, 13818, 68, 17312, 794, 28658, 38132, 54649, 18069, 86, 90360, 2030, 70777, 458, 2746, 57093, 730, 53790, 2305, 273, 624, 17, 481, 91265, 12583, 10928, 304, 2694, 39449, 1487, 16053, 11, 2994, 11, 13368, 16111, 342, 81184, 17630, 11, 74539, 485, 49279, 1854, 8400, 1389, 11595, 2694, 431, 2305, 372, 6772, 51707, 74247, 12032, 25, 14804, 81831, 295, 16034, 79192, 2746, 52817, 1963, 13820, 32248, 370, 5451, 25620, 1122, 33370, 2030, 8267, 398, 26252, 3893, 383, 404, 266, 295, 30, 9236, 5999, 4368, 38805, 61805, 261, 14785, 624, 18, 481, 13368, 12304, 11, 2746, 304, 330, 6091, 50280, 1187, 295, 87475, 1, 6395, 2429, 25180, 268, 91853, 83126, 577, 332, 343, 51707, 9530, 268, 56945, 11, 10928, 42250, 467, 3104, 539, 17790, 54459, 6616, 31932, 1528, 422, 457, 15895, 330, 17977, 16192, 11937, 481, 63694, 608, 87727, 16192, 8793, 481, 472, 13977, 665, 939, 6252, 18549, 497, 22075, 1531, 9089, 4443, 95151, 1021, 10339, 2746, 23166, 6433, 11, 2746, 304, 17443, 93716, 437, 2694, 328, 97310, 97872, 11, 52507, 9911, 2746, 38767, 2396, 6817, 2694, 512, 65, 19875, 8793, 308, 21519, 932, 20048, 13, 330, 3830, 76, 2030, 289, 15113, 81760, 343, 2714, 30166, 654, 83, 12583, 1, 320, 20420, 220, 23, 19, 320, 23, 20, 701, 220, 16, 16, 4292, 17360, 42137, 51939, 11, 8495, 56945, 11, 14948, 1531, 25494, 31643, 267, 595, 5186, 89, 6772, 293, 2178, 1923, 35363, 41852, 36568, 6433, 22539, 65935, 6395, 19349, 11, 2746, 6616, 38650, 2694, 82146, 5566, 21673, 425, 2178, 1923, 35363, 26612, 48376, 823, 21558, 3342, 11, 2746, 304, 2429, 472, 64864, 6395, 2694, 48158, 647, 69038, 2694, 29003, 28324, 3660, 19972, 3893, 85426, 47650, 481, 4368, 9919, 28324, 2694, 93716, 12543, 2185, 939, 472, 12543, 2010, 481, 2746, 19104, 8896, 25531, 74054, 1850, 61700, 14948, 2746, 23166, 6433, 11, 2746, 304, 17443, 93716, 437, 2694, 328, 97310, 97872, 8793, 2746, 87727, 16192, 8486, 42477, 268, 20048, 624, 19, 481, 16887, 24929, 11, 511, 3591, 9911, 384, 4079, 6772, 11, 22075, 1531, 773, 35323, 68573, 330, 67, 392, 685, 1, 730, 53790, 2305, 273, 11, 6395, 76133, 11759, 11, 52507, 2694, 31643, 267, 9089, 8793, 53835, 2030, 8793, 312, 351, 16030, 30, 16887, 22075, 330, 6091, 50280, 1187, 295, 87475, 1, 4116, 773, 72734, 11, 13368, 2746, 20404, 7522, 440, 42250, 467, 3104, 539, 11, 52507, 16111, 773, 41983, 42944, 1574, 49633, 41210, 17630, 11, 2694, 93898, 42584, 958, 3848, 39537, 802, 268, 5679, 11, 773, 21864, 66423, 275, 5267, 2428, 1110, 2136, 18173, 5963, 3511, 16597, 277, 316, 3362, 15593, 62441, 72, 1112, 267, 7836, 1737, 278, 2268, 18321, 5894, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 23, 481, 506, 1902, 65845, 40308, 25, 96520, 220, 18, 15, 15, 45506, 27298, 1531, 3371, 13815, 15671, 2502, 332, 54913, 304, 11461, 467, 324, 89, 610, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 23, 198, 10141, 91712, 37633, 25, 220, 22, 13, 72124, 220, 17, 15, 16, 22, 760, 56872, 25, 26154, 449, 21226, 69252, 891, 760, 3680, 709, 71168, 21506, 25, 73763, 29493, 51, 2794, 11, 64237, 20156, 320, 3748, 343, 6138, 760, 27683, 25, 11461, 467, 324, 89, 610, 11, 42584, 958, 69, 45481, 267, 11, 2502, 332, 54913, 11, 25453, 32030, 372, 11, 472, 75, 13, 2502, 332, 11, 79280, 321, 2305, 372, 13, 39770, 48672, 16823, 83, 11, 506, 1902, 65845, 40308, 11, 36351, 1389, 11, 1032, 2015, 776, 89, 1338, 11, 9736, 69, 1466, 3342, 11, 1205, 287, 23118, 760, 39, 2245, 75, 13256, 15462, 67489, 277, 198, 2428, 1110, 1762, 2142, 71110, 355, 39650, 905, 14, 17, 15, 16, 1112, 258, 1455, 329, 2630, 324, 89, 610, 5894, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 21, 481, 67775, 92583, 7272, 27785, 5191, 27684, 59141, 304, 64715, 466, 1455, 295, 44914, 33370, 13222, 19791, 41658, 33706, 645, 304, 647, 266, 22222, 17739, 98344, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 21, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 21, 481, 9740, 25329, 285, 958, 69, 1274, 295, 11, 66983, 1909, 1717, 13222, 19791, 41658, 49096, 344, 37122, 5699, 265, 3591, 2988, 2391, 1528, 2030, 9450, 44977, 40662, 5451, 73794, 198, 19462, 25329, 285, 958, 69, 1274, 295, 11, 66983, 1909, 1717, 13222, 19791, 41658, 49096, 344, 37122, 5699, 265, 3591, 2988, 2391, 1528, 2030, 9450, 44977, 40662, 5451, 73794, 198, 83181, 12009, 960, 759, 40854, 1154, 13222, 48200, 36614, 198, 13095, 52491, 50, 29365, 11, 220, 17, 18, 13, 5813, 220, 17, 15, 16, 18, 320, 9414, 17597, 14373, 905 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 481, 758, 17058, 2714, 20491, 359, 21673, 15017, 54377, 2694, 5836, 723, 6984, 732, 7416, 288, 4865, 36108, 35515, 45699, 1527, 901, 18852, 1501, 645, 65, 2694, 35975, 2694, 595, 587, 337, 17739, 25527, 1528, 304, 22475, 3591, 11, 9740, 25329, 285, 958, 69, 26427, 12009, 960, 759, 40854, 11, 11122, 71, 343, 5451, 3371, 4928, 268, 11, 2746, 732, 44336, 295, 1079, 60404, 46680, 25620, 76166, 47650, 44462, 57093, 1909, 1717, 47610, 40662, 5451, 5016, 265, 3591, 2030, 2988, 2391, 7522, 32175, 901, 3092, 268, 2030, 40662, 5451, 73794, 65078, 901, 40308, 17630, 624, 17360, 5999, 8793, 6616, 61217, 8394, 11, 14948, 2694, 42584, 958, 69, 32175, 901, 3092, 268, 26109, 11, 4443, 7180, 2746, 62558, 265, 2694, 25527, 1528, 13785, 13222, 48200, 36614, 7219, 89, 590, 40697, 2030, 38897, 328, 6670, 7180, 2746, 23166, 6433, 6395, 12709, 134662, 932, 11, 2746, 3371, 27308, 70628, 65314, 267, 321, 97872, 624, 22171, 33328, 13464, 282, 437, 458, 2694, 22143, 33, 12, 64615, 36614, 304, 3240, 30203, 301, 67317, 11, 23738, 2694, 9740, 25329, 285, 958, 69, 458, 17058, 1581, 13718, 665, 13785, 2502, 300, 59941, 645, 12010, 288, 295, 2986, 77414, 38130, 76, 624, 18175, 57093, 47610, 11, 2746, 2746, 1298, 12, 5830, 10157, 579, 2185, 2030, 2746, 27308, 29937, 2825, 58498, 434, 2716, 953, 30636, 90930, 77399, 11, 68917, 5676, 7219, 2746, 425, 21558, 811, 11, 23738, 9911, 1197, 2024, 2956, 7997, 1960, 11, 4443, 5699, 44704, 2371, 336, 92320, 4270, 17205, 7219, 52716, 34343, 1960, 1163, 84, 12032, 2030, 75074, 268, 6395, 85239, 11, 13368, 330, 2660, 258, 135720, 44390, 3184, 17454, 1, 2030, 330, 2082, 355, 21805, 51528, 13, 330, 8495, 305, 13029, 1960, 10928, 2746, 9919, 28324, 330, 623, 4775, 13222, 5127, 674, 645, 3263, 8408, 47610, 489, 89289, 3371, 9740, 25329, 285, 958, 69, 5451, 73794, 9421, 2988, 300, 7522, 11, 2746, 732, 44492, 2694, 49332, 96115, 23016, 1197, 84884, 12583, 624, 3189, 54988, 66419, 12412, 67746, 2185, 25, 650, 18549, 17029, 340, 42, 93790, 8495, 7219, 330, 45702, 497, 22075, 8495, 30872, 665, 468, 383, 143562, 624, 80593, 2746, 84701, 1527, 901, 43414, 11, 2746, 9820, 83141, 383, 6538, 80624, 88280, 50958, 11, 94505, 2746, 47610, 9421, 2694, 425, 21558, 811, 3893, 30781, 11595, 12643, 16540, 42469, 11, 822, 7997, 2694, 9740, 25329, 285, 958, 69, 40854, 5451, 73794, 5451, 25620, 9379, 33370, 4928, 268, 732, 44336, 295, 13, 28275, 2694, 55827, 324, 65948, 7997, 665, 2694, 9740, 25329, 285, 958, 69, 6616, 44492, 2694, 49332, 96115, 23016, 7219, 17058, 2694, 73794, 1489, 300, 7522, 11, 2746, 13279, 2429, 1527, 901, 3092, 74191, 26109, 13, 1967, 2055, 404, 10207, 89730, 11, 14948, 17058, 2694, 1333, 648, 25121, 268, 6538, 2429, 9740, 25329, 285, 958, 69, 85389, 25, 330, 19462, 4116, 25494, 11122, 71, 343, 2030, 2755, 51898, 7714, 9820, 44336, 1415, 267, 14033, 665, 13, 25861, 35141, 2770, 43506, 268, 11, 14948, 2714, 7180, 6975, 1274, 7714, 13, 6228, 43, 2717, 434, 2716, 953, 26109, 2694, 1527, 901, 3092, 939, 60404, 267, 2032, 13906, 57519, 69713, 6538, 17443, 31467, 458, 4188, 4308, 406, 1154, 304, 2429, 9740, 25329, 285, 958, 69, 40854, 85389, 11, 14948, 2714, 13279, 3686, 268, 11, 2746, 17312, 13222, 48200, 36614, 14862, 17917, 12583, 11, 6616, 1863, 2956, 2740, 266, 348, 79985, 43183, 5178, 11, 13368, 1531, 7180, 12304, 18069, 89, 1267, 1270, 268, 36408, 1358, 6772, 5999, 624, 33, 485, 1199, 732, 37419, 220, 17, 15, 15, 22, 11, 10712, 42584, 958, 69, 6538, 29974, 324, 11, 26109, 9740, 25329, 285, 958, 69, 40854, 83281, 17058, 6250, 709, 12032, 34699, 3371, 1656, 70, 17739, 22992, 10911, 395, 2142, 355, 6691, 5840, 7180, 2746, 8907, 1704, 2185, 27308, 84, 7073, 8536, 75, 11595, 330, 370, 8252, 1, 32175, 10561, 62713, 659, 2362, 37419, 220, 17, 15, 15, 23, 26109, 2714, 6538, 13222, 5127, 674, 645, 12010, 3065, 21558, 1440, 14047, 2429, 32050, 723, 85885, 13906, 19929, 4865, 17239, 2305, 372, 83, 16448, 1427, 37419, 220, 17, 15, 16, 15, 26109, 2694, 9740, 25329, 285, 958, 69, 10712, 834, 8801, 9740, 25329, 285, 958, 69, 6538, 3240, 30203, 301, 6538, 27308, 70628, 2825, 89097, 458, 4188, 776, 7522, 2030, 21982, 9486, 649, 54840, 1713, 268, 2739, 324, 665, 2963, 11, 14047, 27431, 2714, 14410, 62713, 42668, 11, 14948, 44960, 9820, 39455, 709, 6538, 5214, 517, 336, 38667, 423, 35505, 42137, 11, 88748, 331, 83090, 27308, 84, 7073, 1839, 84, 7073, 49096, 344, 36614, 624, 32, 1387, 732, 37419, 220, 17, 15, 16, 15, 26109, 2714, 304, 53936, 32895, 291, 45040, 6538, 17443, 29860, 32175, 901, 3092, 268, 11, 2694, 9820, 730, 16838, 13920, 16568, 732, 9740, 25329, 285, 958, 3848, 20404, 4865, 5699, 674, 13, 55448, 732, 37419, 220, 17, 15, 16, 16, 4116, 30353, 27308, 29937, 49096, 344, 37122, 458, 2694, 595, 587, 337, 17739, 142485, 6538, 9729, 85, 466, 52826, 12, 8813, 56023, 13279, 3240, 30203, 301, 15462, 393, 8347, 287, 732, 9740, 25329, 285, 958, 69, 1991, 288, 4865, 624, 19462, 25329, 285, 958, 69, 40854, 4116, 4368, 10487, 52662, 141785, 7070, 7180, 2746, 1298, 87808, 7671, 365, 791, 2185, 304, 22475, 3591, 2030, 8151, 610, 7219, 71017, 48158, 135777, 7180, 6616, 55397, 732, 37419, 220, 17, 15, 16, 15, 624, 2428, 1110, 2136, 918, 82295, 14668, 27744, 905, 27355, 59973, 8221, 1112, 67, 1737, 1530, 2832, 318, 2630, 275, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 20, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 16, 481, 730, 567, 977, 11, 2694, 5451, 2694, 647, 266, 22222, 17739, 13222, 19791, 70628, 18607, 22157, 5999, 11, 1274, 52277, 330, 30487, 8543, 68, 1, 732, 35515, 94211, 65314, 267, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 16, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 16, 24, 481, 6909, 1717, 1298, 12, 5830, 10157, 579, 2185, 49096, 79144, 10464, 83, 7219, 23682, 277, 66983, 2694, 1205, 90550, 81006, 8828, 325, 732, 730, 49802, 1194, 20751, 198, 58170 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 16, 24, 198, 5366, 1717, 1298, 12, 5830, 10157, 579, 2185, 49096, 79144, 10464, 83, 7219, 23682, 277, 66983, 2694, 1205, 90550, 81006, 8828, 325, 732, 730, 49802, 1194, 20751, 198, 17, 13, 4350, 18731, 220, 17, 15, 16, 19, 320, 9414, 17597, 14373, 905, 873, 481, 18069, 1909, 1717, 57086, 1944, 1268, 5451, 2694, 10207, 2391, 13920, 343, 1960, 36912, 17739, 2825, 58498, 434, 2716, 953, 21506, 1323, 610, 2746, 1205, 90550, 81006, 370, 408, 5251, 23318, 304, 141377, 2030, 10464, 83, 7219, 3371, 23682, 277, 5451, 3371, 93504, 268, 330, 40369, 9544, 68009, 1, 13785, 52716, 8444, 704, 624, 43, 2717, 434, 2716, 953, 82, 16023, 4116, 2746, 62467, 4368, 36659, 330, 709, 4370, 2746, 647, 266, 22222, 10559, 3911, 351, 9817, 13785, 2746, 730, 57040, 285, 36616, 2694, 3680, 10157, 579, 2185, 22956, 22171, 730, 49802, 1194, 20751, 387, 1923, 652, 5178, 3371, 730, 567, 977, 13431, 81, 25329, 285, 958, 69, 10946, 64918, 318, 2157, 285, 1194, 11, 2694, 2746, 386, 23318, 1152, 17029, 2030, 14047, 3371, 16942, 3342, 21673, 3264, 3591, 458, 36744, 12353, 220, 23, 15, 48015, 4797, 26109, 624, 22171, 36659, 1268, 10938, 11, 2746, 220, 17, 15, 13333, 36956, 7256, 15115, 482, 82176, 11, 26109, 6538, 2694, 74303, 22385, 939, 422, 6940, 70511, 4370, 46646, 13, 444, 2717, 434, 2716, 953, 59945, 295, 9911, 7219, 9820, 794, 9416, 2185, 939, 6694, 72, 2956, 11759, 87788, 82, 2030, 15719, 14840, 6395, 57519, 45506, 55857, 25423, 25151, 64857, 624, 18175, 2825, 58498, 8896, 2746, 595, 587, 337, 10559, 25527, 1528, 330, 896, 41846, 51309, 3818, 2185, 1, 22539, 277, 406, 11, 22075, 82176, 8793, 3457, 49539, 27277, 14821, 13, 330, 53750, 362, 4733, 7180, 4368, 362, 4733, 11, 4368, 1863, 29560, 7180, 15462, 1863, 29560, 497, 5699, 73461, 9911, 624, 13310, 3591, 10207, 28698, 11, 14948, 434, 2716, 953, 85389, 11, 14948, 2694, 36659, 10928, 34699, 2746, 330, 11553, 380, 17739, 2030, 70221, 278, 17739, 1, 12380, 268, 939, 730, 567, 23695, 4116, 624, 65835, 444, 18966, 47143, 10207, 89730, 8896, 11, 8896, 2157, 285, 1194, 304, 17443, 595, 5186, 89, 21673, 31467, 47610, 53797, 2739, 276, 14493, 267, 11, 330, 25655, 472, 3454, 6395, 90556, 2030, 57519, 12385, 57093, 43999, 304, 2746, 44966, 6395, 90845, 497, 4443, 2746, 2429, 25058, 10559, 16447, 1064, 33315, 8166, 6395, 387, 19875, 624, 1912, 23747, 1933, 8896, 67015, 300, 75260, 14408, 5342, 44336, 324, 1960, 7698, 11, 29167, 22157, 5451, 1084, 55318, 624, 50, 538, 277, 9805, 440, 434, 50753, 261, 2739, 324, 55632, 1960, 82176, 82, 8536, 75, 11595, 13, 330, 18175, 362, 39470, 6538, 434, 16335, 304, 2694, 730, 49802, 1194, 32895, 291, 45040, 4116, 592, 78881, 2301, 2030, 9820, 16950, 44226, 7256, 794, 9416, 2185, 2694, 68832, 4079, 261, 66983, 36108, 479, 48253, 67, 3591, 267, 288, 497, 85389, 10882, 7052, 28718, 11, 43093, 778, 1726, 9034, 7180, 2746, 9805, 440, 94063, 811, 3660, 19972, 624, 641, 17058, 293, 11155, 1440, 2030, 650, 89, 355, 36772, 71, 25423, 19875, 3877, 7219, 54649, 16023, 13785, 3371, 33328, 13464, 11, 5699, 44914, 434, 2716, 953, 25, 330, 54118, 27557, 11, 289, 610, 7219, 11, 3845, 3091, 267, 4368, 5223, 11098, 19349, 11, 4443, 26769, 29824, 343, 1960, 4270, 85349, 758, 9202, 275, 23647, 320, 51777, 8, 91929, 267, 6395, 80617, 13, 1674, 642, 435, 645, 13920, 14047, 434, 2305, 360, 25151, 50926, 76720, 87541, 40308, 12643, 320, 51777, 41295, 87722, 512, 1371, 51743, 320, 51777, 41295, 9236, 512, 1371, 2746, 467, 79748, 320, 51777, 41295, 16292, 3981, 52088, 1220, 56, 16292, 3981, 13676, 2749, 45, 0, 358, 2149, 82609, 479, 23798, 24734, 37, 2716, 953, 8896, 9089, 7219, 2694, 24851, 5679, 44966, 15462, 84100, 69876, 11, 4443, 9820, 83141, 383, 6538, 7448, 89, 2956, 12495, 1909, 1717, 36659, 268, 11, 15269, 29159, 9820, 34699, 3371, 1656, 70, 17739, 9740, 25329, 285, 958, 69, 26427, 12009, 960, 759, 40854, 732, 37801, 524, 33370, 5813, 13, 151643, 26317, 7816, 33735, 481, 60021, 21062, 360, 91818, 45251, 2285, 198, 18175, 22318, 29937, 4389, 2576, 275, 4002, 2694, 92191, 67775, 21062, 94211, 732, 9784, 4895, 198, 17360, 5999, 264, 1362, 541, 408, 11, 14948, 2746, 9784, 7816, 49096, 344, 64321, 1960, 2694, 67775, 21062, 94211, 25494, 80260, 6772, 12583, 2030, 1148, 676, 4368, 434, 16074, 723, 301, 47808, 92191, 67775, 21062, 94211, 7219, 18228, 1728, 7997, 38130, 5676, 732, 9784, 7816, 23334, 30102, 83769, 5566, 73197, 28698, 13, 8408, 548, 90930, 77399, 1863, 58193, 2030, 434, 585, 1960, 357, 36772, 6538, 3371, 7659, 3591, 2694, 67775, 21062, 1111, 362, 35649, 2030, 2694, 1967, 454, 83103, 142485, 444, 2391, 811, 10269, 13, 8408, 67775, 21062, 1111, 362, 35649, 5999, 41488, 220, 17, 15, 16, 15, 304, 2694, 9784, 7816, 49890, 331, 2185, 49183, 2030, 15236, 3296, 17029, 41488, 220, 17, 15, 16, 18, 5451, 25179, 68683, 71, 519, 6538, 2694, 142485, 444, 2391, 811, 10269, 13, 758, 2694, 7659, 645, 12643, 9443, 58773, 467, 13820, 11, 92283, 6566, 440, 1615, 266, 6772, 57686, 32030, 25, 5573, 11, 5085, 44662, 1599, 1718, 11, 13370, 11, 6271, 13, 72998, 41557, 58237, 304, 36744, 76604, 20658, 9443, 58773, 467, 13820, 9820, 90796, 7256, 30976, 273, 25, 9784, 7816, 52809, 21853, 11, 12911, 70296, 19298, 11, 9784, 7816, 33735, 11, 7816, 33735, 11, 10254, 28979, 624, 18175, 304, 9913, 2071, 67775, 21062, 94211, 732, 9784, 4895, 198, 16, 23, 78233, 320, 45, 284, 220, 22, 24, 8, 2694, 92191, 67775, 21062, 94211, 17630, 9089, 304, 48803, 336, 2694, 136740, 92283, 6566, 440, 31247, 461, 529, 13, 8495, 17630, 9820, 264, 1362, 541, 408, 84187, 38486, 328, 4865, 2257, 26612, 54649, 94376, 732, 51309, 54371, 6395, 3371, 38684, 67775, 21062, 94211, 25, 19000, 140385, 11, 8793, 12222, 2746, 9784, 7816, 328, 4865, 2257, 26612, 63940, 13279, 18084, 320, 58170, 220, 16, 15, 15, 701, 51290, 10928, 2746, 14410, 309, 665, 328, 4865, 2257, 26612, 2694, 94376, 63940, 19767, 82, 88718, 6772, 13279, 17481, 22550, 284, 220, 16, 11, 21, 320, 58170, 220, 16, 15, 568, 8408, 3184, 380, 461, 50958, 17630, 9820, 83630, 6772, 42759, 6739, 328, 4865, 2257, 26612, 17481 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22550, 284, 220, 18, 11, 24, 13, 67775, 21062, 94211, 304, 31008, 2825, 58498, 320, 2267, 811, 78445, 2185, 1648, 67775, 21062, 1111, 4114, 54385, 11, 78765, 71, 4953, 21062, 1111, 29505, 295, 20371, 268, 11, 54706, 10559, 78765, 71, 4953, 21062, 1111, 422, 2178, 44278, 11, 98705, 10559, 67775, 21062, 1111, 7180, 3651, 551, 72, 2030, 6250, 86, 61806, 472, 38809, 624, 3477, 380, 461, 13820, 67775, 21062, 94211, 732, 9784, 4895, 198, 8813, 359, 78233, 320, 45, 284, 220, 19, 15, 8, 2694, 92191, 67775, 21062, 94211, 85239, 9820, 63318, 306, 20005, 138971, 11759, 89, 304, 50041, 136740, 92283, 6566, 2712, 13, 8495, 17630, 9820, 9784, 7816, 328, 4865, 2257, 26612, 304, 2694, 11903, 811, 6538, 18084, 14840, 97914, 529, 13, 19000, 81831, 295, 11, 8793, 12304, 220, 19, 15, 67775, 21062, 94211, 11, 12583, 10928, 55813, 304, 50435, 773, 59380, 268, 92283, 6566, 2712, 49183, 624, 39, 258, 73869, 25, 8408, 78233, 86, 13820, 12583, 595, 5268, 41210, 26933, 2125, 295, 624, 3430, 68057, 25, 220, 16, 18, 18191, 47808, 67317, 21673, 67775, 21062, 94211, 304, 44979, 12583, 6069, 343, 6772, 13279, 3371, 50232, 9300, 268, 9784, 7816, 60404, 15795, 592, 95294, 461, 529, 624, 90940, 533, 67775, 21062, 94211, 732, 9784, 4895, 198, 16, 20, 78233, 320, 45, 284, 220, 21, 21, 8, 2694, 92191, 67775, 21062, 94211, 17630, 9820, 9784, 7816, 328, 4865, 2257, 26612, 6538, 220, 16, 15, 15, 320, 5974, 2861, 54594, 568, 54068, 2825, 58498, 458, 67775, 21062, 94211, 8896, 10928, 2746, 141963, 5342, 328, 4865, 2257, 26612, 2694, 94376, 17481, 22550, 284, 220, 19, 11, 24, 320, 58170, 220, 16, 15, 568, 8495, 12583, 19104, 1962, 1543, 32595, 25531, 304, 50041, 2694, 136740, 57686, 1387, 1960, 92283, 6566, 440, 548, 90930, 13, 8495, 87943, 449, 16030, 19104, 304, 3371, 6538, 74021, 9421, 37285, 90785, 1960, 94678, 627, 268, 75590, 49183, 5451, 54649, 77356, 901, 58498, 624, 39, 4953, 21062, 94211, 304, 31008, 2825, 58498, 320, 2267, 811, 78445, 2185, 1648, 70536, 258, 16053, 60761, 69, 29802, 10559, 7001, 10559, 67775, 21062, 1111, 362, 45699, 11, 87864, 86498, 5994, 18522, 12, 64615, 36614, 11, 67775, 21062, 1111, 362, 35649, 11, 7513, 8025, 6022, 13, 151643, 693, 258, 865, 8029, 802, 730, 6255, 40416, 9820, 23986, 2055, 59380, 395, 18128, 9, 258, 198, 37, 20933, 3591, 71, 490, 261, 9, 258, 320, 86, 3183, 3446, 8, 304, 19846, 21766, 665, 320, 17, 15, 12, 18, 15, 69713, 267, 22157, 340, 32, 1854, 331, 38013, 28122, 67919, 25, 220, 15, 17, 7276, 309, 220, 17, 15, 16, 24, 15687, 33043, 5665, 23318, 458, 17058, 47669, 281, 30875, 54080, 17739, 82557, 355, 87227, 2185, 5451, 16840, 932, 2030, 52159, 3591, 2030, 796, 19985, 477, 1079, 10246, 65, 15795, 34542, 15862, 318, 2501, 2030, 28724, 423, 69046, 6772, 30, 96943, 11485, 1268, 267, 3845, 28853, 357, 1415, 1079, 141785, 89, 28122, 2721, 9338, 30124, 360, 51153, 273, 2015, 320, 76, 6324, 3446, 701, 87105, 220, 17, 15, 80544, 22175, 78, 1528, 11, 668, 220, 16, 13, 16, 16, 13, 17, 15, 16, 24, 11, 4928, 90101, 198, 48047, 66124, 52990, 51153, 273, 2015, 320, 76, 6324, 3446, 701, 668, 220, 16, 13, 16, 16, 13, 17, 15, 16, 24, 11, 220, 17, 15, 42517, 1725, 62762, 1528, 7180, 9820, 47227, 21062, 1111, 304, 4928, 90101, 13, 34903, 66238, 43860, 25, 468, 287, 30622, 79, 36616, 14047, 81313, 37752, 7811, 1527, 55754, 87864, 2015, 220, 17, 24, 71177, 22840, 43506, 220, 16, 18, 13, 3128, 1862, 709, 39416, 3184, 23162, 68947, 7256, 281, 30875, 54080, 10559, 8907, 266, 2185, 2030, 662, 709, 9338, 47, 30875, 54080, 10559, 78765, 74, 2944, 304, 141377, 386, 35524, 20572, 14410, 32030, 4894, 47, 30875, 54080, 10559, 78765, 74, 2944, 320, 76, 6324, 3446, 8, 10712, 18069, 36702, 28122, 74462, 609, 2825, 89097, 74462, 198, 48047, 66124, 7180, 44367, 4114, 1952, 479, 12070, 4578, 778, 331, 1111, 668, 2429, 220, 15, 16, 13, 16, 16, 13, 17, 15, 16, 24, 9820, 393, 30875, 54080, 10559, 78765, 74, 2944, 320, 76, 6324, 3446, 8, 10712, 18069, 36702, 28122, 74462, 609, 2825, 89097, 74462, 467, 2801, 467, 1930, 25317, 16292, 17088, 13, 467, 2801, 11, 422, 1911, 75458, 46777, 444, 47975, 3140, 4493, 1365, 422, 1911, 5627, 57, 5863, 867, 1863, 1825, 49, 2794, 468, 5058, 1321, 36, 17088, 6826, 26175, 953, 11, 16292, 17088, 62606, 3282, 952, 52388, 66694, 6591, 13820, 42068, 4757, 69, 610, 144005, 320, 76, 6324, 3446, 8, 7180, 78765, 15897, 4757, 71620, 36702, 2185, 472, 695, 288, 20572, 96382, 29413, 14, 6639, 321, 29413, 198, 18175, 7767, 585, 263, 645, 472, 64864, 30077, 5186, 5999, 4368, 2341, 89, 17691, 1268, 465, 60404, 267, 273, 1571, 7180, 42786, 47808, 1674, 5045, 901, 89097, 5451, 53249, 16597, 2721, 59226, 13, 8408, 47355, 71, 8229, 47808, 1079, 55397, 304, 2694, 20404, 69701, 5999, 23898, 77356, 13, 45481, 44367, 78765, 15897, 4757, 71620, 36702, 2185, 330, 39, 11855, 1644, 1528, 1, 304, 472, 695, 288, 383, 9338, 5615, 380, 16597, 29612, 320, 76, 6324, 3446, 8, 7180, 2746, 7767, 585, 263, 17739, 52795, 383, 545, 198, 18175, 7767, 585, 263, 10559, 52795, 383, 545, 472, 64864, 30077, 5186, 342, 38, 31098, 5999, 4368, 60404, 267, 273, 1571, 7180, 42786, 47808, 1674, 5045, 901, 89097, 5451, 53249, 16597, 2721, 59226, 11, 2746, 304, 8873, 360, 54834, 2030, 8056, 96049, 52795, 844, 6331, 268, 97872, 13, 34903, 12583, 9820, 2014, 66685, 2694, 7767, 585, 263, 645, 472, 64864, 30077, 5186, 2030, 12583, 357, 337, 89, 10489, 1371, 9338, 18175, 7767, 585, 263, 645, 472, 64864, 30077, 5186, 5999, 4368, 2341, 89, 17691, 1268, 465, 60404, 267, 273, 1571, 7180, 42786, 47808, 1674, 5045, 901, 89097, 5451, 53249, 16597, 2721, 59226, 13, 8408, 34542, 15862, 12543, 665, 2030, 55248, 61286, 13920, 92172, 47355, 71, 8229, 47808, 1079, 55397, 304, 2694, 20404, 69701, 5999, 23898, 77356, 13, 34903, 12583, 4368, 48376, 295, 956, 9338, 623, 329, 15560, 791, 220, 16, 21, 11, 220, 18, 16, 16, 18, 24, 472, 695, 288, 20572, 11, 44979, 198, 18175, 7767, 585, 263, 645, 472, 64864, 30077, 5186, 5999, 4368, 2341, 89, 17691, 1268, 465, 60404, 267, 273, 1571, 7180, 42786, 47808, 1674, 5045, 901 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 89097, 5451, 53249, 16597, 2721, 59226, 13, 8408, 47355, 71, 8229, 47808, 1079, 55397, 304, 2694, 20404, 69701, 5999, 23898, 77356, 13, 2362, 5362, 7658, 1950, 7767, 585, 20783, 21115, 11619, 2030, 19572, 64321, 2576, 306, 21188, 75, 359, 9338, 19617, 72, 23647, 9325, 98244, 141377, 13431, 71, 1440, 30102, 198, 19617, 72, 23647, 9325, 98244, 141377, 13431, 71, 1440, 30102, 19000, 57671, 431, 1272, 29618, 5197, 11, 29618, 285, 423, 7053, 141377, 384, 5058, 13, 5999, 6995, 1574, 38596, 69, 1991, 288, 69701, 2030, 81741, 5679, 423, 7053, 2694, 467, 2267, 11008, 1466, 3342, 2154, 69, 4757, 7180, 2746, 54092, 141377, 13, 21766, 13785, 220, 23, 15, 15, 96428, 34711, 2030, 78722, 19985, 932, 60729, 2694, 16447, 9338, 30124, 385, 7997, 26832, 1960, 12429, 220, 16, 24, 11, 220, 22, 16, 21, 21, 20, 647, 2143, 71, 27918, 458, 2694, 2925, 89, 11, 44979, 198, 32617, 356, 49915, 60729, 502, 36956, 6772, 220, 16, 20, 20, 13, 15, 15, 15, 502, 11595, 2030, 66386, 70487, 268, 42786, 61474, 36616, 2030, 99122, 21062, 1129, 268, 13, 8495, 12643, 6538, 220, 24, 13, 20, 15, 15, 305, 51898, 35225, 21673, 2030, 68042, 35246, 1440, 35225, 21673, 78722, 19985, 19875, 458, 13785, 220, 16, 20, 15, 15577, 371, 268, 27684, 2956, 6498, 529, 11, 2148, 273, 41538, 2030, 9421, 42153, 695, 295, 13, 1205, 9338, 4416, 59380, 79, 30875, 54080, 1579, 23650, 59908, 11, 2055, 89, 19893, 57803, 11, 1260, 321, 79, 30875, 54080, 1579, 11, 60379, 3664, 804, 36519, 11840, 1107, 79, 30875, 54080, 1579, 198, 44, 5012, 18476, 42, 1285, 6766, 13896, 5362, 31477, 5999, 41488, 2162, 13, 220, 18, 15, 45506, 10365, 288, 73411, 93094, 575, 5849, 13, 304, 2429, 74219, 9740, 86, 70487, 268, 93590, 259, 137186, 2030, 50232, 3342, 70165, 84590, 30386, 66362, 732, 25714, 52015, 2694, 46307, 8092, 324, 7180, 57803, 2030, 2694, 12011, 3057, 19767, 659, 61043, 485, 7155, 436, 453, 9338, 42, 5744, 15897, 273, 1389, 320, 76, 6324, 3446, 8, 7180, 2746, 16840, 529, 1134, 267, 14033, 665, 135972, 4886, 5744, 97532, 11042, 198, 45007, 69, 11278, 51865, 13473, 6222, 2172, 23455, 11, 97532, 11042, 11, 44979, 198, 57, 324, 6250, 139522, 74, 2185, 23898, 288, 39613, 304, 2694, 730, 6255, 135972, 4886, 5744, 66124, 16111, 16034, 62668, 24855, 61897, 21673, 28831, 71865, 468, 687, 953, 9297, 640, 19701, 867, 8738, 320, 44, 22175, 14953, 8, 5451, 17058, 289, 2956, 331, 306, 21673, 70165, 29413, 6538, 220, 18, 17, 14840, 220, 18, 24, 69713, 267, 22157, 10712, 38158, 59638, 20005, 64560, 7180, 2746, 2825, 58498, 2694, 647, 79985, 360, 7989, 1112, 151643, 83956, 28064, 2185, 3563, 585, 1536, 12583, 2770, 19358, 6772, 1365, 4984, 3810, 14163, 1365, 24209, 28064, 11595, 35323, 198, 7623, 8182, 2403, 64649, 258, 12992, 83956, 28064, 2185, 3563, 585, 1536, 12583, 2770, 19358, 6772, 198, 17372, 389, 220, 16, 16, 13, 80157, 220, 17, 15, 16, 22, 220, 18, 15, 13, 80157, 220, 17, 15, 16, 22, 6885, 36559, 16071, 440, 39, 2245, 75, 13256, 15462, 67489, 277, 198, 65835, 2694, 40100, 42, 732, 6252, 24585, 220, 17, 15, 16, 16, 304, 53936, 9919, 1199, 82850, 330, 83956, 28064, 28122, 423, 23692, 37949, 1, 141871, 68, 11, 5999, 305, 287, 19981, 4317, 383, 25655, 55928, 33261, 665, 320, 16, 18, 11, 17, 11334, 24209, 28064, 28122, 1621, 265, 465, 26933, 275, 11, 59228, 8104, 6395, 582, 90830, 77, 1365, 85117, 13785, 86, 35010, 408, 51721, 16034, 39324, 1536, 13, 25714, 2694, 69028, 6538, 220, 17, 19, 20, 19, 387, 33198, 1960, 87040, 26109, 30632, 9820, 2714, 383, 65, 20005, 16936, 20512, 632, 2694, 1205, 90830, 61286, 1199, 20542, 387, 674, 15938, 295, 25, 6538, 220, 17, 11, 24, 4, 13279, 2694, 4312, 69, 29802, 17739, 1298, 9603, 59380, 14840, 51721, 6395, 220, 17, 17, 11, 21, 4, 13279, 2694, 24209, 28064, 2185, 4886, 66599, 55591, 624, 80593, 23273, 10712, 650, 138644, 7272, 39324, 1536, 9820, 20226, 546, 2030, 13906, 60297, 14047, 85, 965, 13536, 49039, 546, 328, 1777, 25, 1230, 799, 8907, 87083, 2685, 512, 12755, 6538, 3371, 61291, 11, 2030, 773, 65681, 2770, 19358, 6772, 2030, 1147, 1704, 4487, 268, 15719, 12222, 2694, 19349, 11, 2694, 2746, 61291, 40897, 372, 17859, 2030, 83423, 6538, 63165, 25423, 268, 4845, 31261, 15719, 13, 19000, 39264, 12222, 10712, 39324, 1536, 13, 5004, 372, 24929, 8793, 18520, 15058, 265, 465, 582, 90830, 77, 56945, 30, 11401, 66360, 5999, 1531, 2746, 328, 6670, 11, 1531, 8793, 12304, 258, 6395, 5699, 71378, 1365, 12385, 2746, 87878, 6712, 3680, 71, 25423, 50499, 6538, 2694, 20404, 69701, 624, 71858, 49192, 19358, 33328, 1923, 7272, 98552, 25, 71474, 29505, 396, 28284, 12, 25432, 67960, 13920, 1991, 332, 53776, 1365, 11615, 261, 6658, 198, 1654, 2015, 11397, 451, 31573, 3667, 98552, 25, 647, 16568, 321, 7180, 25531, 1365, 468, 6308, 1704, 2185, 304, 2694, 8907, 1704, 39519, 136508, 440, 1199, 5436, 28064, 2185, 320, 14928, 8, 7180, 137845, 2030, 11726, 268, 151643, 52491, 82032, 724, 25, 74261, 267, 3845, 28086, 23898, 48007, 16034, 61150, 56607, 220, 23, 8422, 5451, 10135, 13785, 25414, 1262, 5333, 34368, 15671, 5267, 1427, 60423, 82, 88718, 14821, 46668, 48007, 41316, 16219, 48007, 25, 39145, 389, 56607, 94325, 5451, 220, 20, 26956, 529, 295, 11, 289, 15422, 72, 220, 16, 13, 15, 2746, 84187, 331, 88999, 2030, 220, 20, 13, 15, 2746, 28822, 85651, 2185, 5999, 13, 9236, 17630, 1640, 4188, 35225, 220, 16, 15, 21, 23, 18078, 73612, 9820, 85651, 2185, 668, 709, 42316, 13, 151643, 48452, 288, 6982, 2030, 71065, 8896, 883, 304, 31008, 9926, 89, 21062, 5186, 2986, 82942, 64, 471, 13, 20004, 6969, 1587, 295, 5451, 17443, 69252, 331, 306, 1387, 11866, 465, 5999, 26769, 9926, 89, 21062, 5186, 2986, 4368, 4258, 8801, 43693, 273, 2015, 19767, 3371, 8907, 87083, 541, 4578, 13, 151643, 39726, 73612, 41861, 539, 13279, 2694, 11610, 874, 320, 811, 1137, 6810, 23747, 1933, 2285, 340, 42, 2956, 2261, 13, 8408, 77748, 901, 2956, 7997, 665, 68449, 20283, 3433, 23318, 11610, 874, 304, 141377, 8896, 5451, 17443, 47669, 18078, 73612, 41861, 539, 2746, 350, 460, 25620, 76166, 13, 54412, 10712, 220, 18, 20, 15, 220, 15, 15, 15, 42786, 511, 3591, 304, 3371, 37801, 524, 33370, 350, 8535, 7219, 6616 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35584, 14607, 301, 90360, 48323, 46646, 11, 2714, 77131, 665, 2694, 46307, 423, 7053, 5665, 9913, 533, 33312, 39416, 28122, 36651, 320, 8598, 52, 8, 16034, 22080, 93383, 1079, 8224, 46680, 13, 21766, 220, 24, 16, 24, 61197, 42137, 10928, 2746, 82745, 2694, 20004, 72511, 4443, 136740, 78233, 12743, 645, 4370, 13, 47053, 52, 12010, 59378, 56539, 17246, 50753, 261, 55923, 71464, 8151, 610, 6538, 17443, 8182, 130977, 615, 351, 19875, 41663, 74063, 23703, 13, 758, 50041, 9760, 268, 43157, 28324, 27726, 2746, 386, 23318, 7180, 17407, 12, 2030, 81501, 4785, 24619, 289, 70487, 20048, 13, 141196, 74492, 1960, 17790, 11316, 6395, 36115, 773, 41983, 15928, 24803, 2030, 2714, 24855, 1127, 10928, 46307, 8656, 89, 1536, 258, 37143, 46420, 13279, 2694, 11610, 874, 13906, 1371, 51663, 331, 2717, 13, 26648, 14, 303, 151643, 8813, 2798, 95194, 4974, 65501, 29001, 804, 7001, 1579, 198, 50479, 14821, 6538, 16449, 62026, 25061, 20404, 1241, 22385, 11553, 79, 50958, 10712, 2746, 77748, 73411, 50232, 85527, 883, 29937, 14612, 437, 37949, 5342, 2125, 1579, 304, 2694, 49012, 268, 2030, 607, 3101, 4974, 79788, 22450, 391, 645, 6454, 81184, 11, 2746, 9820, 294, 27097, 71, 2577, 665, 5016, 1174, 67957, 32454, 2185, 2030, 6250, 73, 2391, 968, 2185, 26956, 404, 5840, 624, 35, 2574, 2746, 1527, 66671, 60021, 2341, 89, 333, 32708, 29344, 16508, 87723, 1279, 1515, 573, 2914, 268, 5999, 38542, 304, 2694, 95506, 11, 6616, 5331, 17659, 1480, 46621, 778, 612, 939, 730, 9416, 31290, 20504, 74227, 590, 15671, 13, 32521, 2574, 14821, 4368, 1298, 89, 433, 17058, 17588, 5186, 21673, 2030, 9089, 17392, 9460, 460, 70, 2914, 26956, 404, 5840, 11, 58319, 65078, 71, 408, 6538, 2694, 34903, 65, 2010, 2305, 1111, 2030, 52716, 4509, 3101, 4974, 77, 11, 5016, 1174, 5679, 2030, 11375, 417, 635, 650, 91184, 2257, 76133, 267, 2030, 55248, 97973, 2746, 1736, 324, 1574, 1333, 791, 1003, 14033, 2030, 54271, 36614, 26252, 1923, 267, 32863, 624, 87876, 38542, 7671, 2636, 437, 37949, 26956, 404, 5840, 9820, 350, 4738, 268, 805, 848, 46621, 11, 2746, 42046, 6538, 2778, 22157, 2030, 2714, 20491, 359, 21673, 78796, 36964, 2148, 273, 41538, 14821, 13, 730, 3732, 10559, 7659, 3591, 1850, 14033, 6433, 11, 14948, 34542, 304, 25986, 17739, 434, 32251, 268, 220, 23, 15, 4, 2694, 5451, 38542, 2755, 37121, 1960, 87040, 14047, 220, 16, 12, 20, 328, 11042, 11595, 48548, 97369, 12583, 624, 87876, 38542, 7671, 2636, 437, 37949, 5999, 13279, 50041, 77814, 6566, 5183, 54548, 458, 40231, 2257, 2030, 7180, 94572, 1674, 5045, 901, 58498, 56505, 84858, 13, 8495, 15719, 14840, 6395, 220, 19, 20, 80624, 88280, 932, 11, 668, 71, 25423, 343, 6538, 3371, 22665, 70628, 11375, 417, 6297, 2694, 7357, 13, 151643, 41957, 288, 9896, 551, 72, 11461, 268, 13002, 2391, 3342, 870, 7725, 738, 11687, 7219, 84247, 86, 8535, 6538, 33228, 62221, 760, 32618, 301, 2685, 80072, 268, 198, 3479, 61065, 10360, 5840, 29937, 386, 783, 11595, 7434, 61352, 9896, 551, 72, 11461, 268, 13002, 2391, 3342, 870, 7725, 738, 11687, 7219, 84247, 86, 8535, 6538, 33228, 62221, 198, 623, 54143, 1365, 8408, 11426, 288, 9896, 551, 72, 11461, 268, 13002, 2391, 3342, 870, 7725, 738, 11687, 2714, 811, 332, 7219, 33228, 62221, 2030, 45692, 2501, 304, 36744, 37419, 1640, 4188, 35225, 220, 21, 19, 20, 77200, 2986, 4733, 2694, 2876, 440, 5451, 2429, 50750, 304, 52716, 29253, 4079, 28736, 7219, 13, 8408, 48158, 77200, 2986, 4733, 13785, 38130, 76, 46069, 6282, 24877, 11, 758, 12495, 1065, 1571, 6538, 11461, 268, 13002, 2391, 3342, 870, 7725, 11, 13279, 17058, 7735, 17739, 30512, 7725, 8229, 304, 82139, 6538, 65520, 1032, 10453, 11, 33328, 2685, 3492, 1087, 11042, 1659, 2694, 33228, 62221, 8547, 11, 2030, 6538, 2363, 27993, 13222, 27127, 11, 6250, 8927, 51835, 554, 75278, 393, 28600, 304, 2694, 33228, 62221, 6250, 8927, 51835, 554, 39470, 467, 2391, 3342, 870, 7725, 624, 44, 12355, 72964, 6538, 422, 2640, 9254, 5649, 12070, 67, 3591, 267, 273, 380, 11595, 20048, 9089, 3457, 10316, 1365, 9911, 17630, 2746, 52747, 23076, 304, 38805, 11461, 268, 13002, 2391, 3342, 870, 7725, 13, 19000, 39264, 9421, 17058, 1079, 32618, 1126, 331, 141871, 268, 7659, 645, 939, 650, 138644, 6433, 8513, 10771, 311, 5547, 31896, 6128, 305, 648, 269, 13, 4724, 77, 610, 5999, 2746, 422, 2640, 1536, 17503, 8307, 15082, 53383, 5451, 54649, 92191, 2014, 66685, 4188, 69701, 33228, 62221, 8547, 15082, 2694, 6376, 73607, 5342, 57803, 95905, 1940, 151643, 44667, 2746, 14612, 437, 37949, 6538, 25986, 16053, 91970, 268, 6395, 98038, 932, 11, 17630, 2746, 14410, 42189, 21673, 91970, 78571, 27277, 2341, 8345, 6712, 14612, 437, 75, 28122, 14906, 2660, 11, 2746, 44842, 13, 30874, 9551, 46416, 80129, 3818, 11, 4443, 9820, 15236, 5986, 65161, 22450, 391, 645, 6395, 97035, 21673, 624, 57, 13029, 5999, 1531, 11, 19767, 9820, 36195, 2030, 142832, 68947, 7256, 13017, 64786, 2185, 6616, 11002, 21062, 265, 14668, 2694, 9740, 9855, 1180, 2185, 6395, 2739, 73938, 932, 2030, 38897, 39455, 4370, 67519, 97973, 2030, 993, 2305, 72983, 6395, 72202, 17454, 13, 151643, 56107, 4895, 24852, 20713, 324, 7180, 40009, 67367, 301, 481, 47775, 4284, 43, 55, 198, 5981, 24852, 20713, 324, 7180, 40009, 67367, 301, 198, 5981, 24852, 45118, 324, 7180, 40009, 67367, 301, 198, 54370, 2694, 2341, 8345, 15671, 15132, 6899, 331, 16676, 12, 21367, 318, 36616, 44160, 4895, 24852, 45118, 324, 73741, 9089, 2746, 328, 4865, 2257, 26612, 75077, 94376, 304, 2694, 23334, 92135, 6538, 40009, 67367, 301, 2714, 383, 65, 6772, 98038, 932, 13, 2055, 12643, 41983, 38383, 18078, 73612, 6395, 43860, 35103, 624, 18175, 92979, 6538, 1527, 40231, 11595, 44160, 44160, 4895, 24852, 45118, 324, 53211, 5178, 575, 5849, 13, 5451, 9308, 20, 11, 15179, 18, 11, 13119, 23, 11, 26339, 11, 45328, 2030, 13215, 13, 34903, 1931, 285, 16030, 34542, 2341, 8345, 6712, 1527, 40231, 11595, 7180, 70836, 13093, 59226, 304, 40009, 67367, 301, 2030, 23334, 92135, 624, 18592, 1338, 6712, 4895, 325, 14668, 7180, 40009, 67367, 301, 2030, 23334, 92135, 198, 35, 2574, 9820, 4808, 6712, 11, 39307, 14047, 39416, 7256, 15132, 6899, 331, 16676, 12, 21367, 318, 36616, 12643, 10928, 304, 40009, 67367, 301, 25494, 62702, 78796, 15398, 2030, 41983, 38383, 18078, 73612, 2714, 8345, 3818, 13, 61043, 485, 4895, 8675, 45118, 324, 5436, 649, 4865, 9820 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 93346, 2956, 325, 11, 22996, 16722, 54102, 2030, 73796, 12063, 30097, 36616, 624, 1425, 63923, 29937, 4895, 12, 2250, 69936, 7180, 35783, 61197, 304, 40009, 67367, 301, 198, 65397, 811, 54383, 43860, 44367, 4895, 24852, 45118, 324, 10712, 4808, 7073, 31313, 7180, 2746, 8800, 285, 36616, 2030, 73910, 36616, 7491, 7997, 45061, 47611, 465, 4895, 276, 40231, 11595, 10928, 732, 95602, 40009, 67367, 301, 17312, 90769, 624, 1425, 63923, 64732, 4895, 3790, 287, 7180, 35783, 77742, 304, 40009, 67367, 301, 2030, 23334, 92135, 198, 1806, 799, 5362, 5999, 67658, 10928, 304, 2694, 23334, 92135, 6538, 40009, 67367, 301, 141437, 9338, 50855, 81616, 268, 9089, 304, 77065, 141506, 304, 2694, 23334, 92135, 6538, 40009, 67367, 301, 2030, 12583, 5451, 2694, 79041, 14047, 17058, 5841, 333, 449, 77399, 4895, 24852, 45118, 324, 41852, 56539, 17917, 11, 2694, 9820, 38383, 94376, 7180, 35783, 61197, 34368, 15671, 22589, 13, 27258, 12643, 49536, 38472, 5016, 6566, 75509, 665, 10246, 4370, 30, 25006, 1528, 91912, 665, 20048, 8495, 26933, 275, 58158, 2030, 58319, 33328, 41137, 11595, 17630, 8495, 6538, 2694, 4895, 24852, 45118, 324, 30, 42616, 65733, 5999, 1531, 7180, 8495, 11, 14948, 2746, 4895, 24852, 45118, 324, 9421, 2694, 13207, 74, 1960, 23334, 92135, 6538, 40009, 67367, 301, 51528, 30, 42616, 3371, 2712, 8495, 95038, 5451, 17443, 44615, 77399, 12307, 59380, 37122, 7180, 4895, 325, 14668, 9740, 54377, 134776, 11, 42150, 16053, 12385, 817, 81501, 562, 263, 802, 16597, 320, 25645, 11, 25826, 11, 41209, 11, 4992, 6138, 6395, 87943, 449, 16030, 5267, 57, 84, 66482, 61291, 1147, 85242, 79409, 485, 2030, 74539, 485, 61197, 11, 1644, 11687, 649, 706, 268, 11, 1032, 54327, 276, 86, 29802, 665, 11, 68832, 482, 2030, 15438, 266, 8987, 268, 9421, 2694, 23334, 92135, 6538, 40009, 67367, 301, 2030, 16111, 20048, 2714, 383, 65, 6772, 18520, 10712, 12222, 19807, 12385, 72005, 13, 44462, 4895, 24852, 45118, 324, 5451, 8688, 135453, 7272, 41663, 65224, 2755, 84735, 7522, 16111, 10928, 6616, 73910, 16030, 6538, 8099, 649, 1387, 3492, 32289, 4895, 76096, 1579, 367, 268, 13, 151643, 33, 54736, 90992, 422, 1577, 268, 198, 81761, 2429, 21048, 14821, 6616, 44602, 268, 90992, 39771, 66653, 19349, 10712, 7219, 2694, 9740, 450, 13, 9740, 8896, 36077, 8677, 2030, 36077, 2825, 28865, 285, 21506, 294, 16074, 1194, 78170, 331, 4865, 198, 22171, 21048, 8896, 458, 3371, 3651, 268, 36077, 75260, 14408, 485, 37022, 77, 14840, 481, 16, 18, 18, 30937, 2030, 17760, 2574, 4845, 74919, 66653, 471, 7256, 6538, 2694, 9740, 450, 95710, 35278, 3819, 367, 267, 1082, 268, 11, 6250, 3801, 28122, 12, 2030, 6250, 75, 1409, 2185, 3492, 1775, 76141, 13, 1527, 10661, 36108, 21048, 8459, 8669, 88718, 82, 20048, 24929, 2746, 88687, 44602, 268, 19530, 6186, 68, 11, 2694, 44602, 306, 1082, 2030, 61550, 44602, 268, 16181, 1850, 318, 2501, 12643, 624, 33, 54736, 16181, 12583, 25, 2746, 730, 2382, 380, 16597, 74265, 5679, 11, 5016, 81, 1510, 4817, 1440, 2986, 11, 2988, 645, 7997, 74265, 2986, 11, 20004, 1100, 74265, 2986, 11, 35070, 303, 37347, 11, 92707, 4865, 2257, 26612, 6538, 44602, 268, 11, 3841, 1387, 1296, 37347, 11, 74519, 10080, 39416, 11, 96880, 709, 39416, 11, 393, 23647, 4942, 321, 11, 74519, 10080, 39416, 11, 1205, 713, 22385, 939, 14322, 590, 32483, 44602, 268, 11, 16034, 79192, 7180, 6616, 15495, 28698, 6538, 42678, 31573, 927, 2305, 872, 77, 7219, 2429, 21048, 624, 18, 35, 97528, 2142, 1579, 13279, 2694, 79041, 14047, 136990, 2030, 20854, 7219, 2694, 9740, 450, 624, 81761, 2694, 9740, 450, 14410, 5467, 426, 8725, 9443, 12968, 1728, 26824, 624, 83953, 2694, 60423, 132975, 2694, 44602, 306, 4738, 268, 5365, 5451, 220, 18, 35, 97528, 2142, 1579, 11, 58065, 56381, 198, 1514, 2142, 1579, 19625, 10665, 804, 69, 15113, 37400, 268, 16034, 84247, 624, 57, 372, 79192, 2739, 6984, 295, 883, 21506, 2694, 9740, 450, 7219, 2429, 28835, 268, 9740, 450, 44693, 49802, 2030, 44693, 39525, 624, 51, 26378, 46745, 51798, 77200, 2986, 4733, 11, 96564, 299, 7276, 15113, 2986, 4733, 66124, 142596, 9101, 610, 13, 8495, 12583, 9421, 6969, 1587, 295, 5451, 59188, 266, 23647, 11, 2746, 595, 59391, 20005, 468, 5428, 331, 28658, 465, 11595, 7219, 2694, 9740, 450, 2714, 37400, 268, 13, 8495, 5699, 9692, 732, 49241, 22157, 370, 2685, 5016, 541, 9157, 268, 304, 17443, 5282, 14668, 34032, 16597, 33374, 74, 376, 372, 14840, 6395, 220, 21, 15, 15, 15, 52539, 259, 4738, 13, 8408, 8325, 268, 5282, 14668, 9089, 9421, 2030, 12643, 458, 3371, 479, 17750, 258, 778, 331, 28698, 2053, 273, 5840, 17029, 13, 14133, 14047, 479, 17750, 1330, 471, 2030, 58725, 1859, 14821, 2746, 28831, 18747, 38809, 304, 2694, 2746, 5016, 541, 9157, 268, 49503, 58065, 624, 18175, 48842, 2746, 9911, 57984, 12583, 773, 4443, 42477, 40334, 11, 14948, 2746, 67775, 273, 380, 28122, 265, 85577, 40897, 4443, 2746, 38183, 77556, 511, 55457, 3128, 349, 312, 2125, 268, 2030, 4051, 77, 47827, 13, 21766, 31008, 56075, 534, 74675, 71366, 268, 21506, 2694, 9740, 450, 9820, 4509, 84956, 2030, 20048, 70251, 579, 7522, 41210, 2714, 8656, 406, 12643, 13, 8408, 4229, 1609, 268, 88766, 40193, 24929, 19767, 26769, 220, 18, 35, 57916, 82, 28698, 11, 23738, 305, 19840, 12385, 4154, 2956, 325, 479, 17750, 1330, 23118, 12583, 624, 18175, 4229, 77203, 304, 3371, 1527, 71, 25423, 932, 8486, 42477, 268, 2746, 5016, 541, 9157, 268, 2030, 512, 14668, 9911, 13785, 730, 780, 458, 3371, 18713, 86, 8535, 30632, 624, 641, 94885, 2694, 220, 16, 15, 1527, 71, 61673, 12583, 220, 18, 13, 17, 15, 15, 4229, 77203, 13, 25714, 2922, 64088, 95602, 1187, 28421, 52434, 2746, 18713, 86, 13820, 6538, 1640, 4188, 35225, 220, 18, 17, 13, 15, 15, 15, 4229, 5127, 41928, 4368, 624, 9499, 77203, 8486, 42477, 268, 2746, 5016, 541, 9157, 268, 2030, 512, 14668, 9911, 13785, 730, 780, 458, 3371, 18713, 86, 8535, 30632, 624, 641, 15025, 791, 82, 24774, 44336, 33254, 11, 2746, 7180, 2746, 96564, 299, 7276, 15113, 2986, 4733, 650, 261, 40334, 2257, 12583, 11, 12643, 468, 5428, 331, 28658, 465, 11595, 817, 328, 1726, 968, 2185, 2714, 37400, 83, 13, 9236, 12583, 328, 1726, 968, 11595, 11, 2746, 304, 2746, 58725, 1859, 62459, 13, 8408, 468, 5428, 331, 28658, 465, 11595, 12583, 458, 2694, 51145, 135266, 99025, 289 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15113, 25402, 76, 2257, 624, 70451, 220, 16, 15, 15, 73048, 50, 1225, 22157, 51528, 4368, 27230, 5251, 433, 54594, 462, 4229, 93806, 458, 13, 35780, 5183, 12222, 63620, 51333, 665, 31932, 331, 1147, 4733, 539, 4711, 11, 2739, 131660, 4730, 13920, 8725, 6616, 44492, 2030, 2746, 51350, 81, 11595, 2739, 1859, 70667, 24440, 77356, 624, 72287, 883, 9820, 342, 59391, 7256, 794, 6712, 1197, 33425, 83, 11, 12643, 44602, 268, 776, 7964, 1197, 16687, 5676, 624, 72287, 883, 16034, 79192, 73794, 1197, 33425, 83, 11, 14821, 1531, 14047, 89005, 82942, 49874, 624, 42, 1020, 883, 1531, 7219, 2429, 21048, 68876, 773, 37896, 5267, 81761, 2429, 21048, 39264, 8725, 54548, 773, 8793, 13, 25714, 12304, 143053, 11834, 7997, 883, 1531, 7219, 2429, 21048, 650, 22097, 500, 449, 1268, 465, 26956, 16754, 41137, 6433, 624, 81761, 2429, 21048, 5999, 7219, 2694, 51145, 135266, 96880, 2030, 259, 4738, 732, 36356, 268, 939, 28835, 268, 444, 2907, 624, 35, 1370, 86, 17739, 47827, 1487, 32708, 41210, 24396, 524, 3226, 2305, 81548, 1320, 30203, 7256, 4598, 7998, 20175, 590, 90360, 3000, 16030, 11, 16034, 79192, 73794, 1154, 572, 14047, 89005, 82942, 49874, 12643, 58285, 7997, 665, 624, 65835, 15719, 883, 44602, 268, 5365, 7219, 2429, 21048, 34368, 15671, 5267, 65835, 15719, 883, 5451, 44602, 268, 8459, 321, 422, 1577, 268, 44602, 268, 5365, 7219, 2429, 21048, 34368, 15671, 5267, 65835, 15719, 883, 3371, 21048, 88766, 22157, 5267, 48047, 75130, 11, 94567, 2746, 42786, 99025, 66461, 51707, 17630, 6538, 2694, 21048, 51145, 135266, 17312, 9740, 450, 49503, 1147, 3101, 46646, 13, 9740, 267, 724, 5999, 2746, 75074, 81112, 8343, 86, 5186, 44861, 2030, 54936, 275, 724, 5451, 13785, 42539, 35649, 40866, 18607, 22157, 624, 80515, 1644, 50656, 7219, 2429, 21048, 47827, 13906, 261, 267, 21048, 422, 1577, 268, 512, 37122, 13, 12741, 21048, 5999, 1083, 4368, 3582, 86957, 1527, 40231, 28122, 42153, 3891, 7180, 21048, 49890, 331, 28122, 422, 1577, 268, 624, 2101, 642, 47827, 21048, 422, 1577, 268, 512, 37122, 11, 6538, 21048, 50872, 42786, 2025, 8155, 529, 2030, 20153, 1100, 17029, 13, 3874, 49662, 58285, 7997, 1960, 25714, 4645, 661, 1577, 268, 7219, 3371, 21048, 7557, 17029, 12643, 13, 16887, 26769, 21048, 422, 1577, 268, 12643, 308, 1777, 258, 8199, 7219, 65, 45258, 11, 88766, 22157, 11, 708, 71, 1440, 2030, 548, 2391, 30353, 13, 16887, 46668, 11834, 7997, 28883, 4929, 1704, 29413, 423, 70979, 14410, 1528, 12032, 624, 32617, 140385, 11, 6616, 5016, 956, 75967, 52764, 67, 11063, 268, 601, 86, 13, 11834, 7997, 85117, 94873, 408, 267, 304, 21048, 468, 13920, 29413, 14410, 1528, 12032, 13, 42079, 21048, 50872, 42786, 14609, 360, 17029, 624, 36, 13920, 29413, 2030, 422, 1577, 268, 12583, 33328, 956, 355, 746, 38132, 7180, 23991, 20005, 21048, 94404, 624, 75919, 71126, 576, 29203, 2444, 5679, 26769, 21048, 42786, 11, 16034, 79192, 73824, 6772, 3893, 66693, 63319, 4229, 363, 79748, 20005, 138971, 1732, 44009, 11, 304, 3371, 21048, 50872, 268, 624, 30416, 2694, 21048, 38897, 21048, 1645, 450, 13279, 72440, 2988, 768, 4443, 2746, 11840, 811, 11937, 25531, 5451, 45692, 2501, 11, 15719, 883, 49536, 2935, 2305, 1923, 303, 21048, 468, 13920, 29413, 348, 6215, 355, 746, 5679, 13, 151643, 37, 261, 3591, 31551, 78513, 461, 1674, 10251, 320, 33, 5459, 16, 22, 17, 8, 304, 425, 1754, 482, 8700, 20, 17, 18, 23, 13, 21, 15, 24, 13, 18, 760, 5665, 5117, 198, 18, 11171, 18982, 11278, 64, 590, 58791, 11, 2162, 13, 220, 21, 15, 296, 29456, 13, 33099, 962, 468, 287, 524, 304, 52795, 129056, 1528, 320, 19, 2988, 36772, 11, 42242, 651, 6712, 11, 35346, 404, 59976, 92071, 11, 69252, 17958, 66114, 15692, 38, 823, 7253, 74, 2855, 2554, 11, 730, 37780, 34162, 87895, 8, 5451, 328, 11042, 66, 3026, 11, 12838, 57548, 2030, 20004, 46014, 1640, 7577, 645, 13, 49279, 2577, 64474, 5451, 1422, 12070, 13, 67588, 320, 16, 11, 21, 15, 296, 5282, 275, 568, 49279, 2577, 64474, 5451, 18069, 27393, 12, 2030, 20004, 13536, 49039, 7066, 13, 422, 355, 1528, 22175, 34, 624, 18175, 28462, 3591, 143492, 356, 1479, 4305, 8753, 26614, 10246, 4370, 732, 1205, 5769, 479, 402, 622, 5652, 11, 220, 20, 13136, 59739, 67, 6772, 6538, 425, 1754, 482, 7219, 17443, 2162, 13, 220, 16, 18, 6386, 67703, 1527, 86, 65935, 5451, 17471, 3591, 52906, 2030, 49753, 932, 13, 468, 766, 50528, 3563, 2956, 28494, 51707, 2030, 25488, 304, 19833, 956, 320, 16, 13136, 568, 7577, 579, 329, 11, 1032, 72284, 2956, 28494, 26612, 2030, 57151, 57548, 304, 8012, 1020, 1263, 320, 16, 13136, 568, 8408, 39449, 12429, 143492, 425, 5459, 220, 16, 22, 15, 14, 15692, 16, 22, 16, 2030, 2746, 14101, 85660, 457, 425, 5459, 220, 16, 22, 17, 14, 15692, 16, 22, 18, 12583, 444, 2220, 2956, 8719, 343, 32175, 539, 4711, 2030, 64857, 7219, 17443, 2162, 13, 220, 19, 20, 15, 15, 296, 29456, 67703, 4443, 89, 2305, 359, 1960, 47227, 135522, 5451, 467, 81053, 11, 94844, 65, 2305, 27899, 2030, 730, 550, 1489, 2305, 7522, 13, 25949, 74, 376, 10559, 350, 460, 13573, 1466, 3342, 11, 5540, 142454, 7906, 52662, 49662, 2694, 23334, 89, 2305, 359, 2185, 13, 77775, 1330, 20542, 2154, 1749, 320, 16, 17, 856, 220, 21, 296, 11, 220, 15, 11, 22, 15, 12, 17, 11, 19, 15, 296, 259, 4738, 11, 220, 15, 17, 13, 15, 20, 13, 17, 15, 12, 16, 22, 13, 16, 15, 13, 17, 15, 8, 5451, 24285, 68413, 22728, 31551, 5451, 22163, 65, 5623, 465, 13785, 67, 610, 465, 17655, 13256, 11, 21491, 37285, 81053, 11, 11840, 12495, 11567, 4370, 11, 21491, 6969, 21558, 2892, 11, 11840, 77, 46745, 2853, 268, 2030, 32050, 7997, 408, 355, 1528, 13, 49848, 2030, 34818, 1055, 268, 39307, 350, 16053, 1960, 25151, 42339, 665, 2030, 350, 16053, 74, 5215, 17312, 74354, 24774, 84605, 13, 12741, 29247, 72, 1404, 51528, 140729, 17312, 42068, 4757, 939, 393, 6178, 2030, 2694, 142791, 276, 54708, 2030, 13785, 77, 15938, 295, 3893, 1937, 44275, 304, 72440, 79509, 31551, 7219, 2429, 47227, 135522, 13, 425, 5459, 220, 16, 22, 15, 5451, 13785, 67, 610, 465, 17655, 13256, 320, 924, 13, 220, 17, 20, 296, 29456, 8, 5451, 34906, 9538, 11, 49848, 2030, 24285, 10453, 2825, 16074, 135266, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 425, 5459, 220, 16, 22, 16, 14, 15692, 16, 22, 17, 16868, 68, 8669, 5451, 22163, 65, 5623, 465, 17655, 13256, 5451, 4389, 1064, 11, 49848, 13, 425, 5459, 220, 16, 22, 18, 8896, 9820, 17655, 13256, 5451, 93912, 127846, 9779, 77, 11, 49848, 2030, 11840, 12495, 79, 402, 42488, 13, 7958, 68, 8669, 62702, 18069, 36702, 2185, 732, 23071, 1579, 35649, 794, 321, 13, 356, 35626, 7671, 2956, 5183, 13, 15696, 25329, 1692, 10938, 40188, 13, 13177, 52292, 13, 8031, 72101, 524, 320, 54, 23408, 11, 81625, 22010, 568, 14804, 331, 6899, 87895, 13, 68557, 709, 273, 23129, 23650, 65, 17261, 13, 20854, 11171, 45086, 383, 449, 2185, 13, 49633, 73869, 25, 18482, 44977, 5999, 304, 3371, 90593, 872, 77, 8793, 3893, 5760, 96346, 295, 13, 151643, 36, 8052, 79985, 3160, 360, 68277, 5591, 60365, 13, 44492, 6538, 10552, 11, 39220, 2185, 481, 220, 21, 19, 22, 15, 23, 22, 20, 198, 36, 8052, 79985, 3160, 360, 68277, 624, 36, 8052, 79985, 2185, 939, 85864, 17339, 68, 7219, 350, 798, 1612, 198, 28301, 48672, 367, 220, 21, 19, 22, 15, 23, 22, 20, 198, 4272, 17054, 1205, 36947, 261, 77302, 472, 28658, 1960, 7219, 17443, 77302, 22087, 6222, 324, 802, 425, 1021, 68317, 371, 2030, 60183, 16171, 75, 29413, 458, 2694, 732, 7577, 72, 826, 559, 267, 14033, 665, 350, 887, 32708, 44336, 404, 70, 2280, 33758, 13464, 4509, 16722, 724, 8226, 14033, 50499, 42599, 7219, 2429, 2502, 1587, 198, 53, 60538, 32708, 434, 41145, 350, 798, 3092, 64, 11, 38453, 4865, 4443, 98557, 350, 75790, 11, 30682, 2655, 577, 30563, 277, 10559, 758, 9507, 11, 350, 798, 3092, 64, 4270, 591, 44589, 7313, 2655, 577, 5055, 28736, 2655, 577, 9057, 61007, 3371, 141963, 15795, 74219, 2694, 758, 9507, 6538, 350, 798, 3092, 64, 304, 3371, 30563, 277, 17739, 758, 9507, 77, 2030, 732, 11903, 3591, 8280, 49191, 2185, 6538, 794, 12543, 2185, 304, 17258, 41016, 89, 278, 7219, 2694, 758, 9507, 6538, 350, 798, 3092, 64, 5451, 81287, 7219, 30682, 2655, 577, 2030, 9820, 56381, 10925, 2660, 732, 647, 1358, 59785, 2655, 577, 85864, 304, 350, 798, 1612, 2655, 577, 350, 798, 1612, 26647, 23455, 16034, 11719, 68277, 304, 350, 798, 3092, 64, 48793, 577, 6755, 25136, 30682, 2655, 577, 350, 798, 3092, 64, 198, 90940, 533, 65314, 267, 321, 96115, 939, 444, 2305, 1704, 388, 11042, 288, 11, 2746, 7219, 21273, 62007, 19767, 3371, 10207, 21558, 76, 1960, 14644, 37122, 2991, 9913, 908, 3987, 12429, 939, 7461, 77, 4223, 4776, 14322, 1387, 896, 71, 265, 1064, 9855, 1180, 87818, 7276, 956, 11680, 413, 380, 5451, 5699, 1174, 89, 21673, 27941, 8666, 932, 7219, 21267, 285, 2407, 77302, 481, 6329, 859, 16972, 479, 22975, 1950, 275, 3187, 263, 54749, 730, 23771, 1174, 809, 15938, 749, 2412, 46168, 55874, 267, 321, 6595, 546, 11, 2746, 7219, 29618, 5197, 21062, 3092, 304, 27521, 12, 6123, 17029, 351, 65562, 7522, 2988, 32030, 5451, 40462, 14644, 37122, 11, 2746, 79509, 802, 3591, 11, 51743, 4081, 54092, 11, 58319, 2746, 14410, 28865, 65314, 43366, 129076, 802, 96115, 9421, 450, 71, 406, 2823, 258, 2391, 83592, 11, 4443, 304, 357, 2305, 8047, 17739, 472, 2245, 59785, 6395, 1187, 28421, 1187, 28421, 73741, 1032, 1064, 5718, 67, 11782, 709, 15681, 546, 939, 67467, 17739, 11840, 12495, 29159, 46014, 2154, 1370, 1268, 46014, 82, 304, 2694, 93719, 11, 2746, 7219, 10925, 5676, 1079, 95244, 422, 66897, 1174, 2185, 2280, 337, 2712, 71, 64864, 4443, 14847, 267, 45501, 5016, 133406, 46631, 69022, 63657, 51743, 11, 2746, 3371, 17837, 7964, 75378, 6591, 30005, 331, 301, 303, 87533, 2770, 19358, 6772, 7219, 79509, 265, 1064, 12, 2580, 437, 802, 3591, 85623, 5178, 20404, 1241, 288, 444, 31573, 301, 6199, 135972, 95285, 46631, 3605, 8528, 75378, 6591, 289, 22028, 5650, 613, 11, 6616, 7219, 3371, 79509, 802, 3591, 10246, 4370, 7219, 11461, 295, 1387, 11, 27521, 9089, 36852, 848, 406, 135972, 20005, 293, 35010, 10938, 6774, 440, 467, 71378, 2694, 56505, 622, 33748, 18294, 790, 64, 546, 11, 2746, 70511, 21982, 41663, 74063, 495, 2056, 458, 2694, 468, 622, 2185, 267, 399, 71, 5054, 481, 30005, 331, 301, 42341, 87710, 468, 622, 2185, 267, 399, 42241, 23745, 1743, 11, 2694, 8151, 4865, 11, 4443, 16151, 7219, 26125, 819, 64, 7063, 138417, 2185, 3563, 300, 87895, 6395, 71, 3454, 6395, 31915, 1020, 268, 6250, 7666, 268, 8495, 6616, 2770, 19358, 75, 198, 80350, 811, 481, 50750, 46125, 932, 135573, 50095, 472, 64864, 11, 2655, 577, 11, 350, 798, 1612, 2655, 577, 11, 350, 798, 1612, 1079, 11840, 12495, 29159, 46014, 68929, 932, 7219, 2655, 577, 350, 798, 1612, 26647, 23455, 16034, 85864, 350, 798, 1612, 11, 2655, 577, 85864, 10559, 37423, 20542, 2655, 577, 11, 350, 798, 1612, 4929, 28421, 7219, 85864, 350, 798, 1612, 11, 2655, 577, 37423, 20542, 151643, 8813, 8801, 468, 42894, 14892, 17, 19, 16, 16, 54, 5451, 13113, 12, 3707, 4145, 7180, 92603, 82, 61119, 481, 2340, 329, 2285, 198, 8813, 8801, 468, 42894, 14892, 17, 19, 16, 16, 54, 5451, 13113, 12, 3707, 4145, 7180, 92603, 82, 61119, 198, 80593, 51292, 6122, 595, 34271, 17917, 468, 42894, 15462, 47669, 220, 17, 19, 11171, 965, 23519, 5451, 2694, 2823, 50591, 46621, 330, 31671, 26570, 14892, 17, 19, 16, 16, 54, 1, 458, 13, 19000, 136800, 2694, 47669, 330, 36, 1015, 851, 34294, 50, 26105, 2739, 30166, 5178, 13785, 9820, 13113, 11278, 2245, 59785, 1371, 273, 32030, 2185, 2030, 22589, 12222, 53129, 220, 18, 18, 58975, 92603, 2739, 14383, 44977, 624, 36, 42894, 26141, 26570, 14892, 17, 19, 16, 16, 54, 320, 59243, 25, 468, 42894, 340, 54, 2603, 6616, 10623, 136249, 732, 8979, 50851, 851, 5650, 355, 74191, 11, 5786, 267, 6616, 10623, 13785, 15462, 14902, 6222, 3805, 6616, 23334, 42153, 28122, 8125, 4865, 2030, 6368, 267, 2746, 10623, 11278, 6703, 26612, 458, 13, 444, 2717, 468, 2843, 46, 19309, 83, 2694, 92603, 423, 14383, 1387, 40870, 17790, 14649, 7219, 19767, 82, 88718, 6772, 12222, 17790, 220, 16, 24, 58975, 624, 22171, 468, 42894, 14892, 17, 19, 16, 16, 54, 2739, 30166, 5178, 13785, 9820, 32050, 1489, 32454, 2185, 6538, 220, 16, 24, 17, 15, 856, 220, 16, 17, 15, 15, 44492, 75509, 1960, 11, 17058, 472, 6703, 26612, 6538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 220, 18, 15, 15, 15307, 3183, 29456, 2030, 60729, 15462, 23388, 376, 559, 6538, 220, 16, 15, 15, 15, 25, 16, 13, 1527, 1527, 21062, 75, 43961, 64857, 4368, 422, 25308, 9420, 2030, 4368, 422, 12, 3136, 468, 287, 524, 17312, 90769, 13, 1863, 27105, 48376, 70753, 1070, 444, 2717, 82, 1726, 9034, 5451, 16868, 68, 8669, 220, 15, 11, 20, 58975, 2714, 42316, 4368, 58459, 4873, 20404, 309, 790, 60942, 624, 36, 42894, 22539, 21519, 3342, 7219, 3371, 220, 17, 19, 11171, 69396, 220, 20, 48015, 12193, 517, 645, 13, 9740, 130655, 6772, 22589, 6616, 136800, 17790, 304, 36744, 3128, 266, 19349, 11, 4368, 60939, 5999, 19104, 17790, 8793, 81331, 13, 151643, 1427, 6122, 26109, 732, 422, 44676, 2746, 28831, 74, 2625, 301, 27684, 2391, 654, 83, 13, 15017, 258, 1197, 35505, 12583, 28095, 1147, 1785, 13, 66419, 6538, 663, 1268, 261, 52159, 3591, 11, 9820, 30682, 10559, 11426, 288, 29413, 2185, 12385, 6616, 5016, 28658, 5679, 383, 723, 6538, 220, 17, 15, 17, 17, 13, 1674, 642, 74825, 20434, 17029, 2030, 1757, 275, 320, 93304, 44275, 8, 289, 395, 14348, 4865, 2739, 4748, 83, 13, 12741, 730, 25077, 26109, 24929, 732, 13017, 263, 13199, 301, 5436, 268, 5840, 2030, 2746, 3360, 273, 95038, 14410, 61007, 13, 34903, 4845, 89289, 6975, 13279, 50041, 11, 2746, 458, 2429, 12353, 732, 6122, 2994, 43303, 2030, 67658, 13279, 50041, 11, 2746, 39771, 7180, 2746, 28831, 74, 2625, 301, 294, 1370, 4733, 42316, 17630, 5337, 220, 16, 15, 15, 45506, 20048, 2746, 90935, 23470, 268, 2746, 28831, 74, 2625, 301, 63318, 12495, 624, 44, 1630, 477, 2305, 1960, 13906, 2694, 3360, 273, 198, 71858, 28831, 74, 2625, 301, 198, 1654, 90550, 81006, 84590, 220, 17, 15, 17, 17, 11397, 198, 17249, 482, 198, 41, 1466, 2488, 51898, 3004, 309, 1014, 2185, 1079, 220, 16, 20, 13, 4350, 18731, 220, 17, 15, 17, 18, 220, 16, 15, 25, 18, 15, 198, 53, 52780, 5016, 28658, 5679, 28134, 811, 831, 1079, 220, 19, 13, 3841, 93289, 220, 17, 15, 17, 18, 198, 30124, 28658, 5679, 28134, 811, 831, 1079, 220, 16, 23, 13, 3841, 93289, 220, 17, 15, 17, 18, 198, 44, 54988, 6538, 6975, 13279, 5573, 198, 13547, 7240, 220, 17, 15, 17, 17, 794, 13, 43509, 355, 6222, 331, 28658, 5679, 1323, 661, 388, 20542, 220, 16, 24, 17, 16, 384, 5058, 13, 663, 1268, 13, 16442, 553, 3478, 2740, 59620, 553, 19807, 151643, 7823, 482, 70777, 25, 14804, 7180, 9820, 26647, 1859, 51528, 2994, 7219, 23273, 6395, 27877, 87, 17, 37, 26, 21766, 12442, 9034, 26647, 1859, 35141, 10638, 312, 7522, 30, 2503, 42616, 58881, 773, 9820, 19929, 4865, 82, 423, 10661, 37949, 51939, 668, 4260, 28421, 11, 52367, 265, 6616, 24929, 9820, 63318, 306, 20005, 6250, 10661, 37949, 5451, 1863, 51078, 2863, 932, 12385, 86913, 10638, 2994, 6395, 17443, 57123, 261, 2030, 17443, 59820, 1862, 276, 86, 3145, 48376, 301, 21140, 11, 35141, 52434, 17790, 14649, 9820, 50244, 424, 37896, 2030, 23273, 53797, 12709, 134662, 932, 2030, 24929, 8151, 4865, 2994, 2694, 57123, 261, 2746, 26647, 1859, 30, 151643, 925, 16128, 48993, 25, 730, 447, 24803, 13368, 43217, 279, 79021, 60622, 58065, 7219, 2746, 15586, 760, 1298, 50855, 7964, 11610, 198, 925, 16128, 48993, 25, 730, 447, 24803, 13368, 43217, 279, 79021, 60622, 58065, 7219, 2746, 15586, 198, 38, 59378, 73461, 1079, 220, 16, 22, 13, 15, 19, 13, 17, 15, 16, 23, 4443, 220, 16, 15, 25, 16, 17, 38183, 624, 54370, 5052, 16128, 48993, 66386, 23118, 65295, 732, 79509, 136740, 5052, 16128, 15843, 447, 24803, 7219, 2694, 15586, 11, 77556, 6616, 61217, 43217, 6222, 44236, 2030, 2350, 96937, 7679, 624, 22171, 54129, 10559, 39133, 5052, 16128, 686, 38897, 57035, 265, 28324, 9919, 14668, 289, 1122, 2416, 1704, 273, 7964, 47008, 13, 71474, 15462, 595, 34271, 92172, 6616, 61197, 11, 1147, 10110, 4979, 7180, 3371, 54129, 17739, 98317, 11, 6616, 34256, 16150, 19643, 458, 11, 16034, 38684, 55879, 883, 81331, 11, 43908, 730, 447, 24803, 10712, 15723, 1574, 6079, 268, 7180, 2746, 22799, 15586, 6395, 141870, 21673, 13, 19000, 49081, 2986, 30005, 89131, 21506, 2429, 330, 925, 16128, 48993, 34294, 43168, 13, 33312, 36744, 84100, 12583, 13906, 60297, 304, 6323, 28086, 18520, 485, 8224, 1014, 11595, 5451, 36526, 39157, 8398, 54395, 331, 31261, 624, 1427, 79509, 46668, 97748, 12643, 2746, 48158, 136740, 330, 925, 16128, 48993, 34294, 27808, 301, 57465, 39337, 304, 6323, 10712, 10928, 29181, 15232, 11496, 2030, 38500, 141871, 13, 21766, 49536, 5999, 6616, 61217, 43217, 279, 79021, 60622, 13, 19000, 28788, 323, 6452, 1842, 370, 742, 13820, 3371, 1501, 45258, 47175, 49539, 11, 2694, 49910, 331, 16034, 19924, 1716, 7522, 6538, 5052, 16128, 26109, 13, 730, 13796, 11, 304, 3371, 37801, 524, 33370, 45506, 8896, 19349, 98157, 35515, 485, 5016, 2305, 5183, 2714, 75, 22449, 11, 52507, 4368, 84187, 331, 2338, 43217, 6222, 44236, 14047, 2429, 38684, 83380, 709, 42789, 5999, 13, 36574, 3371, 76018, 8896, 2694, 4368, 267, 74539, 665, 23388, 74, 951, 6538, 7297, 23381, 14047, 13368, 13906, 41983, 41796, 11, 2746, 9089, 25531, 17790, 458, 3371, 48158, 19751, 8398, 7180, 6616, 5052, 16128, 10824, 739, 2030, 34256, 16150, 2714, 24716, 10316, 624, 35, 1180, 17058, 13411, 83902, 142580, 24440, 43217, 279, 79021, 60622, 82664, 28086, 96976, 267, 21506, 28129, 82, 58237, 11, 19104, 7219, 2694, 15586, 52549, 6616, 49081, 2986, 5451, 61430, 6433, 13620, 2956, 15897, 268, 54548, 6772, 17790, 18520, 140748, 624, 4896, 72998, 268, 12643, 6616, 14686, 724, 44236, 2350, 96937, 7679, 11, 8515, 97138, 304, 75964, 4337, 320, 1371, 3341, 220, 1723, 66693, 968, 6772, 24016, 301, 7180, 6616, 10824, 739, 701, 2746, 34256, 12, 32457, 83902, 939, 5586, 39157, 2010, 26691, 11732, 220, 19, 2030, 2746, 64207, 19625, 2780, 4942, 6538, 49709, 25413, 11, 17058, 386, 16053, 2185, 9421, 5586, 12, 2030, 55519, 44236, 11, 10712, 330, 925, 16128, 48993, 34294, 27808, 301, 7180, 2746, 15586, 141871, 13, 1230, 10561, 277, 5999, 14840, 5205, 11, 572, 24440, 22996, 58193, 58285, 50900, 11, 4443, 2746, 730, 447, 24803, 21506, 28129, 82, 12385, 7219, 2429, 67703, 25987, 325, 1923, 1147, 1176, 268, 6395, 141489, 13, 45481, 36526, 85877, 84952, 63319, 1531, 19104, 304, 94885, 14785, 2714, 24716, 360, 713, 19349, 11, 14948, 5052, 16128, 38897, 452 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1960, 53651, 7180, 2746, 49627, 39537, 1546, 83380, 1323, 74919, 13, 43997, 22799, 8793, 9421, 2429, 3406, 838, 51528, 5451, 53936, 20721, 5277, 11, 24929, 47827, 50697, 2746, 38684, 39133, 49183, 12643, 11, 40870, 24440, 730, 447, 24803, 13368, 43217, 279, 79021, 60622, 21506, 28129, 82, 58237, 142580, 13, 151643, 52279, 13775, 11250, 64, 48842, 13785, 2746, 7357, 11, 16402, 5612, 19985, 16631, 25058, 645, 11, 730, 3313, 11, 96185, 11, 56740, 11, 49342, 11, 12100, 3178, 645, 198, 1791, 7994, 25, 220, 22, 13, 16, 220, 17, 15, 16, 15, 220, 16, 16, 18, 1308, 220, 21, 17, 38453, 28698, 198, 54, 21519, 9300, 2694, 730, 494, 843, 64172, 14821, 85439, 11, 4368, 6975, 331, 36568, 51663, 52990, 76, 41014, 11, 6395, 17443, 1197, 1937, 33370, 30682, 89999, 17312, 330, 52, 1174, 74991, 1, 25620, 70980, 13, 85439, 5999, 9089, 2503, 151643, 8847, 1942, 4366, 481, 467, 1776, 2685, 34699, 8536, 2010, 370, 42789, 5451, 3371, 7279, 25, 62301, 12304, 258, 34699, 3339, 481, 20429, 9376, 2749, 52274, 481, 15928, 1579, 198, 16, 20, 13, 5813, 220, 17, 15, 16, 24, 11, 220, 17, 15, 25, 20, 18, 38183, 198, 54, 1776, 2685, 34699, 8536, 2010, 370, 42789, 5451, 3371, 7279, 198, 19552, 2248, 12304, 258, 34699, 3339, 198, 37326, 40334, 582, 71, 3342, 9089, 34699, 38383, 8536, 301, 1991, 288, 649, 94650, 5451, 3371, 7279, 481, 10712, 4368, 35363, 288, 9812, 8125, 437, 13, 14804, 13368, 9820, 18876, 325, 13906, 3371, 67015, 672, 58193, 24131, 645, 426, 11, 71467, 14033, 36077, 13785, 2746, 259, 4738, 268, 2825, 2305, 7964, 47226, 12095, 2030, 19846, 624, 37326, 40334, 8896, 458, 36744, 9795, 351, 304, 3240, 30203, 301, 38383, 6250, 10661, 75, 11595, 13785, 4368, 8536, 2010, 370, 42789, 5451, 3371, 7279, 668, 709, 73790, 406, 13, 4114, 33235, 7073, 47227, 25, 21766, 17443, 11426, 13368, 3371, 7279, 11, 6616, 9421, 2429, 730, 4659, 88607, 42789, 6538, 220, 17, 15, 16, 20, 9421, 455, 85885, 5999, 11, 686, 12095, 79913, 30632, 268, 8536, 2010, 29639, 5699, 11567, 26824, 13, 55448, 8793, 5451, 2694, 74539, 1960, 467, 61811, 3563, 15938, 2694, 44966, 624, 32617, 42137, 330, 68, 482, 67232, 2694, 479, 54371, 1371, 10661, 37949, 304, 66482, 8536, 2010, 1371, 13536, 71, 11595, 2030, 9820, 67232, 2694, 467, 13820, 497, 10246, 26824, 8907, 962, 6538, 2340, 54840, 1713, 60444, 62301, 1079, 69713, 10938, 7219, 1527, 83301, 939, 20429, 9376, 2749, 2739, 75, 2717, 268, 13, 71161, 25, 330, 52, 44128, 301, 1517, 493, 268, 20048, 8793, 7180, 63620, 17837, 1960, 2030, 7180, 32936, 8793, 3263, 38500, 330, 130187, 64513, 387, 68057, 81760, 2030, 73928, 7180, 2746, 647, 13820, 307, 42603, 939, 730, 4659, 300, 384, 396, 85885, 22956, 32617, 53835, 2746, 38684, 9812, 8125, 57396, 66653, 13, 8495, 43303, 13279, 17443, 12475, 25651, 2694, 9812, 8125, 437, 86, 61811, 82, 1065, 1571, 304, 3240, 30203, 301, 12304, 17058, 13409, 1859, 17958, 2185, 6538, 9812, 15843, 316, 2728, 2030, 67015, 2305, 285, 2407, 40577, 27684, 337, 5178, 11, 38383, 8536, 301, 1991, 288, 649, 94650, 5451, 6515, 7219, 89, 359, 2636, 5676, 624, 47789, 268, 5016, 54913, 42668, 9812, 15843, 316, 5176, 75079, 19685, 7658, 4260, 793, 11782, 15160, 28086, 732, 37801, 524, 33370, 79509, 5451, 2274, 12, 143687, 9453, 3339, 72943, 258, 40579, 2030, 40870, 13906, 60297, 304, 44979, 7180, 56381, 9740, 273, 4865, 261, 2185, 14410, 82751, 13, 3339, 42668, 6395, 36115, 26647, 69, 89, 49802, 273, 7219, 794, 16722, 2030, 88482, 9421, 38500, 48376, 823, 21558, 3342, 2030, 40870, 52193, 299, 426, 11, 9911, 10928, 7219, 91552, 6395, 2739, 71, 25423, 268, 13, 19000, 58881, 75590, 44979, 51873, 13, 23334, 704, 70336, 1083, 11, 22075, 3339, 26252, 5451, 9089, 2518, 268, 10246, 23455, 2030, 9089, 7219, 4368, 330, 59335, 37866, 8528, 19643, 12, 5830, 42789, 1, 4368, 70489, 67594, 11, 13368, 44999, 6616, 37699, 6538, 2694, 9812, 6454, 477, 31475, 665, 3680, 42789, 308, 40193, 13, 17888, 23455, 1818, 2305, 811, 13368, 4368, 1356, 59335, 37866, 8528, 7577, 6996, 437, 2010, 370, 42789, 320, 14903, 3298, 8, 12583, 14019, 25402, 258, 21982, 350, 16053, 624, 28684, 372, 19104, 5699, 529, 24929, 9270, 40334, 9421, 5267, 18175, 31287, 1777, 9740, 77131, 2185, 5999, 2694, 38500, 13002, 16722, 74, 1121, 69, 13, 71474, 278, 9270, 40334, 82, 647, 11023, 7219, 2429, 31643, 1268, 81831, 28122, 2301, 5999, 13, 758, 8536, 2010, 1626, 8535, 36852, 57926, 295, 2746, 9812, 817, 54412, 22385, 2030, 8793, 732, 730, 2382, 724, 11, 9820, 94788, 811, 70772, 2660, 13368, 2694, 29413, 2746, 6538, 12095, 93985, 24929, 28883, 18069, 1489, 1854, 13, 4841, 9089, 62301, 1083, 9824, 1579, 337, 436, 10712, 10487, 52662, 730, 4659, 585, 141943, 802, 34699, 3339, 52354, 16030, 30, 9236, 342, 17707, 4443, 15462, 330, 86, 288, 306, 21673, 35672, 275, 709, 4370, 2685, 2694, 61921, 2305, 17739, 467, 58193, 497, 305, 645, 7997, 1531, 9421, 2429, 28024, 60392, 7888, 9299, 278, 559, 624, 19552, 2248, 7219, 23388, 6951, 804, 74, 1723, 198, 51, 1862, 31573, 6772, 84952, 63319, 71968, 2429, 62301, 13002, 13269, 649, 1387, 85725, 36077, 18520, 4087, 40188, 481, 572, 1640, 9433, 70439, 74890, 2660, 5451, 44979, 7219, 6566, 30353, 15719, 13, 5016, 263, 732, 37801, 524, 33370, 6122, 42668, 2694, 1422, 12070, 32454, 10559, 2340, 54840, 1713, 2746, 9812, 7219, 709, 8187, 529, 11, 8536, 2010, 370, 42789, 330, 1763, 50041, 386, 31573, 1960, 668, 89, 1111, 71, 12495, 11, 2746, 8793, 6616, 4270, 12059, 3680, 42789, 592, 78881, 16030, 3263, 9740, 27298, 40870, 2694, 730, 4659, 16657, 275, 1579, 9820, 26956, 355, 5342, 31399, 36614, 139115, 2694, 8536, 2010, 90527, 1579, 11, 66983, 1531, 68517, 80478, 5999, 11, 387, 3341, 8793, 97341, 1952, 258, 8199, 9421, 89, 355, 2493, 8398, 624, 35, 1466, 2245, 2739, 652, 4370, 9089, 3354, 10559, 18977, 533, 25, 62301, 289, 54048, 9089, 10712, 330, 42, 4659, 672, 3818, 2660, 1571, 1, 15269, 58158, 11, 2739, 6984, 295, 2746, 4270, 12059, 28831, 2185, 330, 2304, 3128, 450, 3263, 1597, 485, 53835, 1531, 20321, 1524, 25, 10712, 91929, 267, 64649, 396, 268, 24209, 1387, 11, 85117, 13785, 2746, 467, 58193, 732, 42256, 305, 2210, 355, 11, 2746, 61921, 2305, 10559, 730, 4659, 16657, 275, 1579, 7219, 25655, 86, 50958, 624 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 38, 54371, 97973, 83630, 295, 9089, 9820, 38383, 27573, 2694, 1422, 12070, 2956, 14406, 7522, 38500, 9299, 337, 275, 1579, 458, 25, 49279, 1854, 5451, 3371, 85117, 40334, 19875, 39265, 85, 79985, 43183, 4370, 7401, 25610, 7180, 9820, 357, 13977, 7052, 5388, 461, 13820, 9812, 481, 9911, 17630, 9421, 4270, 12059, 328, 4865, 6395, 59765, 27684, 21558, 3342, 11, 52507, 9089, 31313, 13368, 44979, 12222, 69987, 26956, 791, 1960, 13, 7281, 5436, 32030, 9270, 40334, 48614, 15462, 357, 13977, 7052, 268, 76604, 39416, 304, 38500, 8793, 18520, 6538, 6170, 268, 11, 51290, 19767, 2926, 1942, 6538, 7906, 26824, 6395, 12672, 16030, 13, 422, 60119, 19104, 39264, 62301, 7219, 13207, 40951, 23388, 6951, 367, 5451, 69507, 11, 2746, 2714, 10712, 29001, 804, 73938, 932, 285, 81314, 15938, 295, 25, 50041, 13906, 276, 3339, 2030, 2746, 5450, 268, 624, 18175, 23334, 138087, 74453, 57671, 2030, 65520, 8313, 83880, 15462, 198, 1, 1658, 1528, 73689, 11, 37143, 46420, 91855, 2746, 30976, 273, 939, 93615, 3651, 449, 37122, 2030, 62301, 2746, 939, 425, 2956, 11759, 497, 5699, 44914, 2694, 4270, 12059, 330, 28935, 17165, 1, 595, 5186, 89, 6772, 6395, 3371, 502, 2391, 968, 15795, 23907, 7671, 59378, 75, 43961, 2694, 9812, 13, 330, 35544, 66360, 13, 36574, 32936, 2770, 43506, 268, 11, 1531, 342, 2305, 1371, 69987, 22080, 649, 45699, 2030, 2694, 1422, 12070, 32454, 10559, 2340, 54840, 1713, 91855, 5451, 3371, 39538, 17454, 11, 4443, 9089, 304, 17443, 38500, 19767, 89, 18187, 5679, 11, 6616, 38897, 67703, 1863, 24619, 31100, 269, 30353, 8896, 10040, 47789, 288, 39538, 2010, 44236, 3566, 83, 62301, 28095, 10928, 13279, 3371, 8536, 301, 1991, 288, 649, 2305, 7522, 5451, 3371, 7279, 13, 42616, 28789, 23907, 481, 23738, 19846, 1147, 48418, 11687, 35951, 5436, 1387, 665, 11, 3371, 9812, 6691, 3414, 1442, 2694, 5450, 268, 6395, 73197, 61897, 932, 11, 66983, 12095, 40662, 369, 5855, 13820, 481, 62459, 49536, 2746, 92191, 2030, 1422, 12070, 2956, 14406, 7522, 12380, 268, 25531, 30632, 264, 810, 258, 8199, 13, 96943, 74453, 3339, 82, 15187, 39470, 2142, 355, 2030, 2746, 2825, 42950, 20175, 805, 57926, 2185, 2694, 5450, 268, 7180, 3371, 23907, 9911, 83880, 4368, 8199, 43117, 1923, 90845, 13, 758, 704, 78733, 5999, 6616, 4270, 12059, 647, 11023, 48614, 304, 3240, 30203, 301, 24929, 40157, 48803, 6395, 71593, 610, 139377, 1659, 20004, 265, 36947, 261, 624, 17360, 67594, 5016, 1111, 37896, 624, 2428, 1110, 2136, 8572, 74947, 2285, 92750, 275, 1579, 14, 11855, 1933, 80870, 1180, 40334, 30207, 71, 406, 12, 1127, 5655, 258, 35363, 288, 5655, 84, 12, 1933, 39978, 361, 24413, 301, 1991, 288, 649, 5918, 1528, 1448, 275, 96528, 25682, 64, 38030, 7409, 12, 16, 17, 21, 17, 24, 19, 17, 2564, 198, 35, 299, 71, 10938, 8979, 89, 49802, 273, 25, 9812, 39620, 64, 13518, 2714, 4260, 75967, 8536, 301, 1991, 288, 649, 94650, 5451, 3371, 7279, 320, 16, 16, 13, 15, 19, 13, 17, 15, 16, 24, 340, 2428, 1110, 2136, 8572, 74947, 2285, 6324, 61811, 14, 704, 89, 32788, 16546, 84, 5477, 64, 13518, 12, 261, 4260, 75967, 24413, 301, 1991, 288, 649, 5918, 1528, 1448, 275, 96528, 25682, 64, 7409, 12, 16, 17, 21, 17, 19, 20, 21, 2564, 198, 2428, 1110, 2136, 8572, 74947, 2285, 92750, 275, 1579, 14, 11855, 1933, 3470, 265, 20241, 36512, 36164, 1448, 580, 2248, 96326, 426, 12, 696, 22371, 1448, 352, 3419, 1448, 3497, 268, 50378, 8535, 93082, 68, 1923, 12, 1127, 12, 524, 8294, 12, 1174, 17659, 7409, 12, 16, 17, 21, 17, 15, 15, 22, 2564, 151643, 17, 48015, 14047, 5938, 86, 819, 12, 5830, 267, 324, 89, 25, 44499, 268, 88519, 896, 1081, 34271, 295, 794, 2085, 2185, 760, 21491, 55874, 54594, 6879, 1370, 258, 198, 17, 48015, 14047, 5938, 86, 819, 12, 5830, 267, 324, 89, 25, 44499, 268, 88519, 896, 1081, 34271, 295, 794, 2085, 2185, 198, 53, 269, 54936, 645, 258, 49662, 45506, 2739, 9566, 27926, 32895, 277, 2210, 328, 72216, 34080, 52716, 468, 29032, 1020, 28789, 3680, 267, 324, 89, 2694, 5938, 86, 819, 5251, 300, 87895, 13, 63678, 8896, 2746, 44499, 268, 88519, 896, 9820, 794, 2085, 2185, 342, 14412, 34271, 295, 11, 2746, 489, 27097, 42341, 43999, 143562, 22589, 624, 77939, 32895, 277, 2210, 328, 72216, 34080, 8896, 13279, 5938, 86, 819, 12, 5830, 267, 324, 89, 52716, 29860, 2739, 385, 1440, 49342, 25, 91502, 392, 1342, 2072, 608, 600, 19369, 198, 77939, 32895, 277, 2210, 328, 72216, 34080, 2739, 9566, 52716, 468, 29032, 1020, 2030, 3371, 647, 962, 54649, 43999, 198, 18175, 63657, 71859, 896, 939, 44499, 268, 686, 489, 27097, 303, 268, 16840, 932, 82197, 198, 77939, 32895, 277, 2210, 328, 72216, 34080, 49933, 309, 34542, 36077, 141786, 198, 22171, 5938, 86, 819, 12, 5830, 267, 324, 89, 732, 37419, 220, 17, 15, 16, 20, 68917, 76, 27926, 32895, 277, 2210, 328, 72216, 34080, 52716, 17837, 645, 65, 1960, 468, 29032, 1020, 11, 3371, 647, 962, 54649, 43999, 13, 12741, 3739, 1127, 220, 18, 20, 13333, 36956, 7256, 44499, 64015, 3371, 3680, 267, 324, 89, 8793, 2739, 73938, 932, 11, 19349, 3539, 9299, 23958, 4087, 84, 13820, 2746, 19868, 87895, 304, 2746, 1422, 12070, 2956, 14406, 7522, 1674, 2752, 13, 47436, 2429, 3680, 267, 324, 89, 6774, 7964, 12304, 220, 16, 20, 15, 9726, 27277, 624, 32617, 91717, 75, 19358, 63940, 54936, 645, 258, 49662, 48015, 49503, 2030, 28095, 66316, 2746, 71859, 896, 38684, 82197, 13, 8495, 2030, 34749, 69791, 43999, 17630, 14047, 2429, 71602, 17739, 91717, 75, 19358, 36077, 141786, 74675, 2030, 37699, 66316, 27926, 32895, 277, 2210, 328, 72216, 34080, 39771, 49503, 42316, 13, 15017, 372, 8896, 9911, 2746, 19626, 6222, 72216, 34080, 39620, 2085, 2185, 17246, 49958, 384, 5137, 89730, 13, 44799, 5573, 8896, 2746, 136458, 267, 2085, 2185, 85865, 58244, 2746, 44850, 343, 51707, 81331, 3893, 42316, 13, 2823, 13536, 71, 408, 7219, 3371, 37801, 524, 33370, 38020, 33137, 94905, 27298, 2746, 136458, 267, 2085, 2185, 81331, 25, 330, 65835, 17298, 8801, 2030, 19321, 267, 140527, 6395, 17443, 14047, 39416, 6433, 25714, 1323, 1387, 50232, 1440, 20048, 11, 26956, 68, 380, 27926, 32895, 277, 2210, 328, 72216, 34080, 13, 8408, 468, 383, 96115, 939, 44499, 268, 19626, 328, 72216, 34080, 11, 2694, 732, 135777, 220, 17, 15 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 20, 3371, 3680, 267, 324, 89, 17058, 5938, 86, 819, 6899, 87895, 304, 3371, 1422, 12070, 2956, 14406, 7522, 1674, 2752, 8793, 2739, 73938, 932, 64015, 2030, 4443, 82, 55397, 33661, 11, 8896, 21506, 2429, 422, 610, 2694, 136458, 267, 2085, 2185, 85865, 58244, 15462, 794, 2085, 2185, 17246, 49958, 342, 14412, 34271, 295, 2030, 14047, 71017, 29860, 3318, 93339, 10040, 77939, 32895, 277, 2210, 328, 72216, 34080, 2030, 34749, 43999, 36408, 12540, 1440, 36077, 141786, 14047, 2429, 91717, 75, 19358, 13, 8408, 54936, 333, 1777, 386, 6207, 2714, 89, 83049, 33109, 12, 19598, 139115, 25, 330, 75919, 2429, 58583, 752, 1543, 29860, 288, 17630, 44390, 69791, 43999, 2030, 10638, 25494, 36077, 141786, 74675, 13, 8408, 45515, 48414, 752, 1543, 29860, 288, 17630, 1230, 36115, 41137, 4645, 416, 97502, 380, 295, 13, 9236, 26109, 36077, 14410, 3740, 295, 13, 19000, 66316, 10638, 28095, 54064, 502, 11595, 42786, 2030, 52716, 52159, 3591, 1147, 1070, 321, 6566, 5183, 47008, 481, 502, 11595, 42786, 11, 87862, 44966, 19767, 3371, 6250, 70979, 36108, 74021, 4317, 6402, 2636, 19875, 42786, 289, 473, 3818, 2030, 26252, 27684, 477, 17917, 12643, 35141, 1189, 33312, 61805, 336, 6008, 27926, 32895, 277, 2210, 328, 72216, 34080, 4368, 37471, 30386, 17149, 7180, 43999, 11, 304, 12442, 2407, 17298, 8801, 2030, 19321, 267, 87587, 87027, 13920, 7219, 54727, 19985, 295, 12643, 81146, 13, 151643, 74863, 609, 11999, 268, 1365, 11999, 19289, 258, 220, 16, 23, 22, 22, 4929, 1704, 198, 54370, 13785, 220, 16, 15, 15, 15, 77094, 291, 932, 5999, 2746, 35708, 12, 2030, 11999, 370, 55632, 2185, 2746, 74539, 665, 3680, 55632, 2185, 732, 68832, 258, 624, 2250, 82, 61231, 408, 3275, 490, 41203, 343, 5999, 24440, 81020, 7180, 9740, 86, 86873, 1952, 2030, 7180, 43999, 412, 268, 4894, 74863, 12, 37361, 220, 17, 23, 13, 15, 24, 13, 17, 15, 16, 24, 220, 16, 22, 25, 18, 15, 198, 57, 2794, 7064, 16292, 43167, 12152, 7539, 3567, 42637, 67754, 198, 61598, 1579, 11, 140748, 11, 18977, 39127, 609, 25242, 198, 42, 19786, 13906, 62401, 2030, 326, 67395, 732, 89507, 17058, 18207, 32957, 23898, 35708, 14906, 76, 59570, 624, 57, 27105, 80544, 566, 23678, 16111, 65295, 5451, 64489, 26824, 84520, 2030, 5699, 27105, 7997, 10157, 579, 19875, 5547, 11672, 4368, 11, 67658, 51528, 2694, 140748, 49536, 8793, 6395, 70984, 624, 18175, 8554, 5999, 7180, 53165, 11, 1508, 77094, 291, 12385, 136088, 18926, 97369, 0, 51310, 3089, 10938, 5999, 60637, 54064, 686, 42789, 624, 63599, 89487, 328, 1762, 86, 550, 10141, 91712, 37633, 1079, 220, 17, 15, 13, 6122, 220, 17, 15, 16, 24, 220, 17, 16, 13, 6122, 220, 17, 15, 16, 24, 730, 7593, 3591, 35708, 609, 11999, 268, 198, 19389, 74, 2305, 802, 75, 220, 17, 23, 13, 15, 24, 13, 17, 15, 16, 24, 1365, 220, 16, 19, 12, 16, 21, 38183, 198, 70451, 43999, 12583, 1059, 89, 6772, 48376, 301, 21140, 24440, 11999, 74, 2305, 802, 75, 6395, 37896, 624, 17360, 27298, 95710, 1674, 5045, 901, 89097, 2030, 30512, 65, 11595, 624, 63599, 89487, 328, 1762, 86, 550, 10141, 91712, 37633, 1079, 220, 17, 15, 13, 6122, 220, 17, 15, 16, 24, 220, 17, 15, 13, 6122, 220, 17, 15, 16, 24, 730, 7593, 3591, 43999, 412, 268, 198, 20705, 24585, 7276, 82348, 84590, 7219, 2429, 44382, 90360, 939, 5883, 16, 23, 22, 22, 198, 6091, 220, 17, 23, 13, 15, 24, 13, 75315, 23898, 6252, 24585, 7276, 82348, 84590, 7219, 2429, 44382, 90360, 939, 5883, 16, 23, 22, 22, 67317, 13, 330, 20705, 24585, 7276, 82348, 84590, 7219, 2429, 44382, 90360, 939, 5883, 16, 23, 22, 22, 1, 30632, 56027, 198, 63599, 89487, 328, 1762, 86, 550, 10141, 91712, 37633, 1079, 220, 23, 13, 6122, 220, 17, 15, 16, 24, 220, 17, 16, 13, 6122, 220, 17, 15, 16, 24, 730, 7593, 3591, 49096, 64732, 11, 35708, 609, 11999, 268, 198, 15653, 16, 23, 22, 22, 5999, 2694, 2825, 2956, 7997, 665, 4894, 22171, 5883, 16, 23, 22, 22, 4929, 1704, 5999, 47332, 1536, 896, 457, 2694, 74539, 665, 68832, 258, 732, 451, 89220, 48020, 11426, 13, 44462, 220, 18, 15, 15, 15, 13, 77094, 291, 26109, 28095, 79432, 5016, 16106, 56505, 71, 3342, 13, 330, 15653, 16, 23, 22, 22, 5999, 2694, 2825, 2956, 7997, 665, 8958, 30632, 56027, 198, 63599, 89983, 96382, 1174, 320, 16, 13, 647, 1087, 11042, 1659, 8, 10141, 91712, 37633, 1079, 220, 21, 13, 6156, 220, 17, 15, 16, 24, 220, 17, 16, 13, 6122, 220, 17, 15, 16, 24, 730, 7593, 3591, 49096, 64732, 11, 35708, 609, 11999, 268, 198, 50, 19786, 388, 403, 14906, 76, 1079, 42783, 343, 22157, 7725, 220, 17, 15, 16, 24, 198, 1427, 6156, 75315, 26252, 4368, 79509, 14906, 76, 7219, 2429, 1032, 6433, 57548, 67317, 13, 47436, 17859, 336, 467, 21405, 66238, 16111, 26252, 9820, 11401, 490, 3145, 458, 37210, 791, 2185, 458, 13, 330, 50, 19786, 388, 403, 14906, 76, 1079, 42783, 343, 22157, 7725, 220, 17, 15, 16, 24, 1, 30632, 56027, 198, 63599, 89983, 96382, 1174, 320, 16, 13, 647, 1087, 11042, 1659, 8, 10141, 91712, 37633, 1079, 220, 17, 13, 6156, 220, 17, 15, 16, 24, 220, 19, 13, 6156, 220, 17, 15, 16, 24, 730, 7593, 3591, 49096, 64732, 11, 35708, 609, 11999, 268, 11, 35708, 12, 14373, 11, 92610, 3145, 11595, 198, 49882, 1174, 11855, 1489, 768, 2694, 730, 29886, 3959, 1536, 198, 36, 343, 44275, 73184, 1960, 16111, 14047, 33384, 34538, 28710, 932, 11, 85725, 342, 40308, 16111, 50435, 9680, 13279, 220, 18, 20, 21794, 58052, 7219, 13, 12741, 384, 29032, 278, 7256, 54092, 1113, 56398, 1674, 7526, 135972, 529, 13703, 92172, 6975, 2746, 25527, 1528, 13, 1527, 21062, 56400, 408, 66093, 1531, 14047, 4182, 359, 75858, 17312, 5016, 265, 258, 485, 72, 467, 2956, 11008, 301, 11, 2746, 36077, 140370, 10712, 2714, 35608, 295, 4116, 624, 22171, 3680, 408, 282, 437, 15462, 18747, 28658, 21673, 20004, 74, 5205, 304, 2694, 25453, 84, 485, 343, 559, 267, 14033, 665, 17220, 769, 13111, 304, 4182, 359, 75858, 624, 63599, 79735, 44336, 59282, 10141, 91712, 37633, 1079, 220, 16, 13, 6156, 220, 17, 15, 16, 24, 220, 16, 21, 13, 6122, 220, 17, 15, 16, 24, 730, 7593, 3591 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35708, 609, 11999, 268, 11, 8536, 3959, 198, 23692, 1126, 55457, 220, 17, 15, 25, 15, 15, 1365, 220, 17, 16, 25, 16, 20, 38183, 198, 63599, 89487, 328, 1762, 86, 550, 10141, 91712, 37633, 1079, 220, 17, 18, 13, 72124, 220, 17, 15, 16, 24, 220, 17, 18, 13, 72124, 220, 17, 15, 16, 24, 730, 7593, 3591, 37573, 198, 6108, 19, 11894, 28789, 11426, 54942, 285, 97761, 198, 6727, 19, 11894, 1365, 10928, 28789, 220, 17, 15, 13, 11426, 54942, 285, 97761, 220, 17, 15, 16, 24, 43303, 16111, 26252, 49536, 624, 1, 6108, 19, 11894, 28789, 11426, 54942, 285, 97761, 1, 30632, 56027, 198, 63599, 89487, 328, 1762, 86, 550, 10141, 91712, 37633, 1079, 220, 20, 13, 72124, 220, 17, 15, 16, 24, 220, 17, 21, 13, 72124, 220, 17, 15, 16, 24, 730, 7593, 3591, 49096, 64732, 11, 35708, 609, 11999, 268, 11, 8536, 3959, 11, 1967, 4865, 587, 1149, 1579, 198, 53750, 49765, 465, 68080, 2501, 16053, 198, 1514, 275, 68042, 45506, 51873, 9089, 2746, 730, 29886, 3959, 261, 70651, 267, 2032, 16034, 74354, 24774, 11999, 268, 2030, 93644, 56400, 408, 16034, 68080, 2501, 16053, 304, 2694, 68832, 1330, 70, 559, 267, 14033, 665, 13, 3303, 3155, 11, 3371, 220, 16, 18, 13, 15, 21, 13, 98888, 883, 9089, 19104, 330, 1427, 384, 29032, 278, 6433, 42068, 1118, 261, 497, 17058, 18747, 28658, 21673, 467, 61811, 304, 2694, 84991, 802, 23682, 44278, 11, 2746, 88028, 14047, 220, 23, 45506, 25620, 76166, 14821, 13, 330, 53750, 49765, 465, 68080, 2501, 16053, 1, 30632, 56027, 198, 63599, 89487, 328, 1762, 86, 550, 10141, 91712, 37633, 1079, 220, 17, 15, 13, 80157, 220, 17, 15, 16, 24, 220, 17, 18, 13, 80157, 220, 17, 15, 16, 24, 730, 7593, 3591, 35708, 609, 11999, 268, 11, 92610, 3145, 11595, 198, 2810, 9770, 5999, 4368, 7297, 12, 36930, 7180, 30027, 1574, 35708, 11, 30027, 1574, 64560, 2030, 30027, 1574, 30022, 17149, 344, 36614, 624, 74863, 76, 1362, 301, 57984, 4368, 38805, 84732, 62401, 6395, 1931, 285, 1268, 408, 288, 14410, 1241, 87818, 14881, 17029, 288, 16151, 11, 35708, 1371, 78400, 13820, 53165, 1674, 5045, 20048, 1932, 9770, 55928, 29413, 2030, 13785, 541, 4368, 746, 5679, 2030, 18207, 1536, 47808, 4093, 8345, 500, 16676, 77919, 1531, 10712, 24440, 14662, 3187, 2944, 14906, 76, 624, 78470, 5679, 8495, 12222, 3371, 72705, 135720, 10712, 26125, 819, 137143, 2030, 47008, 8495, 9089, 6538, 3371, 41130, 15671, 41663, 337, 4370, 50697, 704, 12242, 16030, 13368, 10489, 65, 84384, 7522, 624, 6406, 35010, 2010, 54342, 11, 2714, 3667, 12648, 198, 63599, 89487, 328, 1762, 86, 550, 10141, 91712, 37633, 1079, 220, 17, 21, 13, 5813, 220, 17, 15, 16, 24, 220, 19, 13, 6156, 220, 17, 15, 16, 24, 730, 7593, 3591, 35708, 609, 11999, 268, 11, 97211, 8485, 331, 13363, 86, 9416, 465, 1932, 9770, 151643, 5800, 4972, 20542, 47226, 40537, 2030, 5573, 25, 3680, 37699, 65836, 3845, 75410, 2030, 29769, 82, 54831, 304, 2694, 9784, 1845, 42759, 1440, 198, 45, 329, 482, 6538, 39997, 331, 28284, 760, 220, 17, 22, 13, 15, 19, 13, 17, 16, 198, 22171, 9784, 15843, 27045, 932, 293, 2717, 3371, 12352, 7671, 485, 713, 30632, 9421, 2030, 85104, 13977, 5840, 12412, 25655, 2746, 22817, 20542, 5451, 40537, 13, 71161, 668, 76720, 20048, 2657, 75410, 2030, 29769, 82, 939, 44810, 9420, 3591, 267, 288, 13785, 5573, 42759, 1440, 11, 28883, 2746, 1845, 67952, 2739, 70489, 6395, 47827, 624, 665, 22837, 198, 896, 2015, 273, 14668, 198, 665, 22837, 198, 20489, 50232, 3342, 1850, 130337, 38383, 19710, 4368, 11, 4443, 2746, 2657, 20796, 7219, 2694, 94678, 627, 6395, 7553, 16030, 13, 16887, 6616, 69499, 10928, 7180, 6616, 6136, 3404, 9740, 273, 11081, 285, 13, 28275, 27431, 2694, 9784, 15843, 27045, 932, 47143, 15462, 34734, 1952, 6079, 2694, 15733, 31500, 12352, 12, 2164, 10140, 7675, 304, 2746, 1007, 33235, 6712, 3393, 25141, 305, 43091, 665, 11, 26109, 10928, 2746, 40069, 6538, 29769, 82, 7219, 2694, 94678, 627, 81331, 709, 42316, 13, 63678, 293, 2717, 5573, 50435, 74219, 17790, 30632, 9421, 2030, 73741, 18372, 7070, 25, 34711, 668, 76720, 444, 22181, 2030, 29769, 82, 6538, 40537, 304, 56354, 261, 444, 61673, 304, 2694, 72705, 1845, 668, 39157, 8398, 13, 2055, 47827, 2746, 2657, 2746, 5573, 57916, 66671, 8793, 2739, 70489, 11, 4443, 15462, 18971, 12385, 9820, 19832, 13305, 416, 21491, 97463, 9299, 347, 50034, 6395, 42759, 1440, 13, 5573, 138936, 510, 785, 501, 4565, 11, 892, 686, 19131, 264, 13420, 3434, 3139, 2878, 5573, 11, 686, 1281, 432, 8661, 369, 498, 311, 4564, 697, 40537, 14289, 3139, 448, 697, 5573, 3942, 13, 1446, 646, 4332, 1128, 498, 3129, 14289, 311, 448, 697, 4780, 323, 3800, 879, 4332, 697, 11772, 13, 1597, 421, 498, 1366, 11, 498, 646, 3291, 1105, 3170, 432, 748, 22414, 311, 498, 624, 32617, 140385, 11, 14948, 18372, 7070, 25, 34711, 11, 2746, 95524, 2746, 40537, 1845, 7219, 71017, 136800, 4582, 17029, 17630, 11, 91912, 665, 54831, 9421, 2429, 5573, 28870, 4269, 268, 20048, 13, 58485, 86759, 52549, 2694, 9784, 15843, 27045, 932, 6616, 2655, 22837, 36108, 444, 1122, 82, 12385, 29769, 82, 7219, 2694, 94678, 627, 650, 22097, 500, 449, 1268, 465, 13, 2823, 285, 2493, 2010, 41210, 7180, 2746, 18069, 90957, 2185, 36108, 39100, 27298, 1531, 668, 76720, 4368, 61749, 19998, 624, 641, 11866, 665, 6538, 40537, 20048, 37699, 31287, 11007, 304, 3371, 5573, 28870, 48376, 3065, 22157, 12643, 320, 1763, 17443, 730, 1206, 7219, 6616, 44492, 17837, 524, 267, 3845, 17312, 74539, 17392, 38453, 4865, 701, 7240, 5573, 198, 9945, 5573, 19767, 2746, 22817, 20542, 5451, 40537, 8793, 3371, 1527, 21062, 75, 1854, 732, 75410, 7671, 485, 713, 2739, 5623, 268, 5267, 18175, 6250, 66671, 2030, 40069, 6538, 75410, 304, 3371, 773, 59380, 268, 3264, 3591, 14821, 7180, 18372, 7070, 25, 34711, 25531, 90796, 7272, 13, 468, 16676, 36852, 57926, 19875, 1527, 33052, 7997, 6395, 31008, 92979, 8896, 2694, 5573, 15843, 263, 74, 951, 72742, 52854, 3893, 42316, 13, 8408, 3216, 6565, 681, 1845, 2714, 5205, 665, 34749, 2694, 471, 343, 56381, 31395, 36614, 10928, 19767, 2746, 625, 1587, 627, 3653, 17739, 57680, 29553, 42370, 13, 16887, 7180, 2746, 20112, 32030, 883, 1487, 32708, 41210, 2818, 65, 665, 39100, 13, 36574 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10928, 2746, 75410, 484, 590, 7231, 11372, 17029, 47332, 1536, 896, 457, 6538, 3371, 9784, 12, 2120, 1587, 627, 268, 13, 2055, 4268, 7714, 6616, 444, 1122, 14835, 64354, 82, 2073, 2694, 16936, 43455, 6660, 7401, 14047, 18520, 10712, 220, 19, 18, 45506, 14047, 2694, 6250, 132149, 2185, 26252, 304, 3371, 66276, 13, 12741, 47227, 25, 18069, 8354, 11, 304, 2429, 6616, 444, 1122, 14410, 2493, 3818, 26109, 11, 66093, 7219, 72742, 52854, 28862, 624, 31, 19, 17, 15, 67, 16108, 1564, 17, 15, 23, 198, 144968, 52618, 320, 17, 15, 15, 19, 4926, 2300, 8, 1365, 43455, 6660, 7401, 198, 17360, 5999, 93328, 8793, 10489, 65, 84384, 331, 408, 11, 14948, 56381, 75410, 12, 23674, 13368, 25500, 10717, 15462, 26263, 5451, 3216, 6565, 681, 3647, 331, 76166, 13, 51310, 468, 6130, 1466, 2660, 87165, 11, 2746, 5573, 96042, 17790, 47708, 76166, 93985, 13, 8408, 40069, 6538, 40537, 304, 3371, 5573, 28870, 67594, 12412, 4368, 2714, 3667, 5016, 54913, 19349, 11, 4443, 6616, 472, 9416, 12, 2030, 5443, 13431, 81, 273, 11081, 285, 2694, 18372, 7070, 25, 34711, 6395, 7553, 16030, 624, 20489, 27298, 458, 11, 6616, 38383, 40537, 19998, 668, 48614, 304, 220, 17, 22, 84132, 74, 1960, 9421, 25655, 1100, 268, 11, 32175, 42477, 268, 5451, 3371, 7279, 624, 52491, 652, 34662, 482, 6538, 39997, 331, 28284, 198, 45, 329, 482, 8896, 71465, 1574, 87727, 70449, 367, 458, 2694, 472, 14419, 50462, 1673, 17029, 2030, 143037, 41488, 74882, 1377, 220, 17, 15, 16, 24, 2746, 3731, 67726, 624, 9286, 28855, 1013, 22837, 198, 665, 22837, 198, 665, 22837, 198, 896, 2015, 273, 14668, 198, 665, 22837, 198, 665, 22837, 198, 665, 22837, 198, 665, 22837, 198, 33374, 88581, 198, 90940, 29937, 5807, 19166, 198, 56999, 47, 57567, 510, 2304, 275, 69, 21140, 17312, 95830, 17058, 12277, 2885, 17458, 198, 56999, 47, 57567, 510, 3939, 23296, 10712, 1147, 45086, 261, 64075, 7276, 9913, 269, 220, 17, 15, 17, 18, 198, 56999, 47, 57567, 510, 1912, 258, 467, 7066, 81936, 261, 1279, 85, 16568, 321, 19767, 14102, 12, 16604, 12, 22237, 198, 56999, 47, 57567, 510, 24, 29873, 1690, 7180, 4368, 93094, 288, 20748, 288, 69084, 278, 198, 52491, 652, 220, 18, 15, 13, 15, 15, 15, 69653, 20048, 8793, 6216, 1440, 13, 10978, 450, 28853, 37699, 6395, 77012, 40126, 20756, 4198, 458, 510, 82043, 478, 546, 9421, 2694, 12062, 198, 30124, 265, 23549, 15462, 67489, 277, 17117, 31151, 268, 668, 20512, 7522, 198, 1912, 482, 468, 37513, 12, 67777, 14821, 8793, 141871, 13, 41663, 1358, 20005, 49753, 261, 12583, 5451, 353, 1868, 17029, 198, 82043, 478, 277, 198, 5618, 5618, 9, 38747, 1763, 686, 7256, 10638, 304, 2746, 6250, 59908, 2185, 71126, 32175, 42316, 268, 1697, 268, 143213, 11706, 268, 46954, 7180, 6616, 67489, 16030, 939, 2823, 21561, 2032, 2694, 1913, 3732, 21115, 11619, 2285, 31477, 4368, 13, 14268, 5999, 81331, 11, 14948, 10638, 44390, 18069, 14387, 42603, 55928, 29413, 19767, 9820, 1352, 1469, 468, 37513, 458, 3546, 31, 263, 3732, 21115, 11619, 2285, 9724, 615, 28421, 15719, 13, 60423, 3371, 47640, 615, 1704, 2694, 18069, 14387, 42603, 14821, 2746, 1032, 331, 13730, 68947, 50499, 2694, 6250, 59908, 2185, 11, 2746, 7219, 59785, 2694, 18069, 14387, 42603, 14840, 16034, 47640, 615, 1704, 53211, 5178, 5999, 11, 8793, 10207, 21558, 3342, 13, 1205, 41846, 48842, 13785, 3371, 547, 12311, 524, 5451, 70836, 46954, 35103, 8495, 304, 44160, 91741, 59522, 77131, 2185, 13, 151643, 44, 13752, 71417, 96990, 27684, 36956, 20005, 3841, 6308, 2305, 3760, 481, 467, 36964, 481, 19846, 261, 386, 39563, 2203, 198, 46596, 1194, 49890, 9034, 17630, 15462, 17588, 5186, 21673, 3841, 6308, 43506, 15843, 15252, 81671, 25, 68128, 13, 42616, 4368, 6032, 1609, 86957, 42242, 299, 69, 12080, 39620, 43506, 83, 1387, 34306, 16030, 2746, 393, 1489, 276, 5679, 56381, 60054, 268, 2694, 27684, 36956, 21673, 88049, 4480, 28855, 1365, 3680, 39525, 7671, 477, 437, 665, 457, 1853, 33370, 43860, 55248, 45996, 10712, 451, 65224, 13, 63678, 81146, 9911, 2714, 24855, 1127, 10712, 88049, 5315, 17312, 143089, 65, 14412, 16074, 2185, 384, 40399, 61007, 12643, 624, 59243, 25, 8459, 13, 2926, 13, 4350, 9299, 1404, 22700, 34301, 608, 142485, 13481, 77, 198, 75919, 5016, 59638, 11595, 2694, 9812, 15843, 316, 2728, 18926, 3841, 6308, 2305, 3760, 304, 2694, 88049, 502, 36956, 6772, 220, 18, 15, 15, 13, 15, 15, 15, 67015, 2305, 932, 6616, 55397, 13, 8408, 42242, 887, 471, 28855, 17837, 1960, 10712, 8189, 343, 13, 49890, 9034, 2694, 142485, 13481, 77, 17630, 37699, 13279, 6050, 8313, 9820, 730, 2855, 2554, 90080, 52028, 268, 81671, 11, 58319, 2746, 393, 1489, 276, 5679, 16034, 30872, 1960, 3841, 6308, 43506, 15843, 15252, 37896, 624, 57, 372, 15462, 5999, 2994, 34749, 53598, 7256, 51145, 135266, 25, 330, 53750, 6050, 4785, 337, 3667, 6538, 17443, 63948, 266, 59422, 137208, 8896, 136740, 98435, 79409, 5342, 2502, 49191, 7522, 497, 312, 2125, 295, 2694, 13481, 1194, 6050, 436, 69, 1087, 9034, 16642, 4350, 9299, 1404, 22700, 34301, 13906, 13, 71474, 38684, 74247, 426, 18302, 288, 31008, 2502, 49191, 7522, 883, 1528, 42242, 887, 471, 28855, 9421, 2694, 88049, 4878, 16053, 458, 13, 422, 39129, 1147, 85242, 21506, 61805, 336, 3303, 1645, 2356, 290, 268, 11, 2746, 19767, 82, 88718, 6772, 220, 19, 15, 78233, 939, 3841, 6308, 43506, 288, 9421, 76, 45699, 13, 330, 32617, 49081, 2986, 68312, 17029, 10510, 5840, 41502, 81591, 11, 2746, 6050, 436, 5923, 135266, 5999, 4184, 19488, 17837, 21140, 11, 4368, 3303, 1645, 2356, 290, 294, 424, 4370, 20321, 344, 497, 138936, 22700, 34301, 13, 141196, 95723, 68128, 27684, 36956, 20005, 3660, 1579, 490, 81, 15938, 8793, 12222, 18859, 11, 3275, 23162, 54988, 80617, 9911, 3371, 794, 43506, 71765, 13785, 34749, 2502, 14033, 465, 7219, 2030, 25658, 45258, 40662, 13, 71161, 3303, 1645, 2356, 5999, 4368, 90796, 7272, 451, 36956, 79956, 11, 3371, 2746, 6975, 63859, 65, 9151, 393, 1489, 276, 5679, 16034, 467, 610, 267, 372, 91304, 6433, 13, 1597, 485, 7107, 437, 665, 457, 939, 59820, 15738, 12643, 6538, 35669, 465, 3591, 4081, 89002, 11, 2746, 7219, 3371, 6050, 436, 2024, 49191, 7522, 97872, 13, 330, 6123, 6308, 43506, 14821, 6395, 90508, 13256, 497, 83034, 17029, 22700, 34301, 8185, 40188, 624, 29046, 371, 17966, 85239, 10489, 65, 84384, 331 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10938, 30022, 66362, 198, 1427, 14930, 17630, 22700, 34301, 2030, 19349, 45515, 4757, 4389, 78, 20603, 859, 75, 3756, 44675, 47143, 3893, 96695, 11, 13368, 17859, 6616, 49081, 2986, 68312, 17029, 25, 25714, 95710, 6050, 4785, 337, 3667, 595, 573, 417, 268, 9911, 38185, 72, 12, 2030, 4716, 2356, 20491, 392, 13, 28275, 4368, 48100, 80544, 47650, 2746, 393, 1489, 276, 5679, 22539, 300, 7522, 13, 20004, 2694, 794, 43506, 5676, 709, 732, 14804, 65845, 33758, 16540, 42469, 2746, 49890, 9034, 773, 6616, 425, 26976, 423, 127846, 4370, 2694, 393, 1489, 276, 5679, 26933, 2125, 268, 13, 19000, 78796, 285, 4116, 10489, 65, 84384, 331, 408, 25, 330, 33, 285, 6395, 220, 17, 15, 28837, 76, 3841, 6308, 43506, 68917, 5676, 6050, 4785, 337, 3667, 6538, 17443, 63948, 266, 59422, 137208, 7219, 497, 138936, 20603, 859, 75, 3756, 44675, 13, 71474, 51309, 54371, 25, 1527, 17058, 36077, 56946, 21176, 268, 26647, 23455, 53598, 17454, 502, 36956, 6772, 12222, 220, 16, 19, 28837, 76, 3841, 6308, 43506, 462, 63948, 266, 59422, 6395, 44602, 268, 624, 2250, 82, 57926, 408, 7180, 2746, 88049, 265, 258, 42603, 5999, 85725, 11, 14948, 6616, 6050, 436, 2746, 61430, 7256, 386, 6309, 458, 3841, 32030, 50499, 64208, 41203, 13, 71161, 8185, 377, 21649, 6050, 436, 1197, 69, 93908, 99025, 467, 14136, 2185, 2030, 6395, 308, 395, 50926, 1531, 95524, 8793, 19349, 13, 8408, 78796, 15398, 54395, 1528, 16676, 732, 6252, 24585, 304, 1260, 723, 220, 19, 14, 17, 15, 15, 22, 2694, 9919, 1199, 82850, 330, 1427, 2728, 778, 331, 32997, 497, 2746, 21982, 9486, 2356, 7180, 23334, 86, 3818, 2030, 23833, 1723, 331, 32997, 11, 11426, 86, 61811, 2030, 6250, 14383, 1387, 388, 331, 32997, 939, 11426, 288, 29181, 81, 383, 258, 60761, 69, 35649, 83380, 709, 42316, 14821, 624, 44, 54988, 6050, 436, 7180, 68517, 9460, 674, 1466, 12495, 198, 641, 13481, 77, 22589, 2429, 77, 92975, 4368, 1527, 21062, 75, 1854, 135522, 17312, 46307, 2717, 674, 29560, 220, 20, 21, 17, 5451, 6050, 8313, 87541, 2391, 406, 12643, 13, 330, 641, 30781, 17739, 5999, 1531, 50837, 11, 53797, 21207, 7256, 6050, 436, 76, 14456, 6395, 79551, 497, 138936, 22700, 34301, 13, 330, 32617, 3595, 8345, 529, 3371, 25714, 79810, 1189, 70038, 66693, 968, 6772, 12583, 2746, 13374, 268, 17312, 422, 610, 65, 14412, 16074, 2185, 80129, 3818, 30179, 481, 21506, 61805, 336, 9421, 2429, 730, 1692, 35524, 11, 883, 41762, 811, 5451, 50435, 17588, 5186, 21673, 88049, 65, 44953, 1387, 4160, 6616, 93887, 730, 4659, 64, 304, 3371, 758, 12495, 267, 30875, 1960, 98038, 932, 13, 151643, 18370, 24, 1558, 1910, 15711, 2860, 369, 2464, 8438, 29758, 8668, 58301, 2285, 15440, 279, 13403, 323, 6792, 54698, 315, 12583, 49536, 7219, 2714, 20491, 359, 20005, 78796, 15398, 12743, 78, 26824, 624, 96664, 7865, 20048, 2860, 11846, 11552, 1690, 91855, 26073, 2860, 58237, 28883, 61061, 2185, 57184, 54831, 5451, 17443, 96428, 6538, 4392, 624, 65332, 88660, 91342, 10638, 2746, 53363, 1579, 1055, 3122, 27391, 11, 2030, 2746, 51528, 13279, 29873, 1690, 2030, 84176, 71467, 13518, 11, 2746, 468, 1387, 42678, 93232, 39092, 16030, 11, 1758, 1110, 460, 11670, 12120, 10506, 6830, 2687, 20201, 4686, 2371, 309, 9695, 18570, 2479, 15995, 624, 32617, 20404, 42189, 3874, 468, 16676, 33278, 220, 16, 8408, 4620, 13487, 31380, 27073, 13518, 3845, 1640, 73794, 62459, 11, 95243, 326, 932, 267, 3845, 59765, 13, 33312, 3371, 422, 32997, 19875, 60021, 54594, 6433, 19868, 331, 16676, 2860, 6371, 11846, 2860, 24696, 11846, 1531, 10928, 60277, 3910, 315, 18482, 52961, 4139, 26073, 2860, 11846, 902, 16539, 12037, 13912, 6467, 315, 15122, 26073, 6673, 624, 32, 652, 6395, 1527, 42477, 5999, 1531, 50837, 11, 732, 4724, 316, 49477, 6616, 19104, 90039, 27431, 25494, 36077, 26692, 9111, 36614, 80129, 3818, 13, 142839, 27298, 1531, 25531, 26252, 28198, 844, 92918, 11, 2746, 883, 7180, 700, 2606, 11, 17011, 11, 3162, 21765, 2090, 11, 28822, 2860, 11846, 11848, 7126, 2860, 58237, 28883, 61061, 2185, 11, 6002, 2473, 11, 1809, 19492, 52747, 13093, 287, 11595, 4443, 61430, 7256, 85466, 624, 83953, 57519, 68557, 331, 932, 85725, 75315, 9820, 13481, 7063, 28865, 67317, 11, 2746, 26073, 54831, 7219, 31008, 47404, 1059, 29159, 88551, 624, 32, 652, 11, 289, 9510, 84, 22589, 10638, 51239, 9421, 42316, 11, 22075, 10638, 732, 19104, 48803, 13630, 19612, 13, 2363, 35141, 9089, 8793, 34368, 19767, 6616, 16482, 5676, 2391, 66124, 2714, 64177, 1960, 42678, 258, 4412, 5451, 709, 42316, 11, 2746, 883, 77919, 15719, 11, 19104, 8793, 624, 65835, 47143, 66386, 21519, 406, 68339, 83, 50041, 4182, 3101, 22157, 4368, 4841, 74, 19786, 724, 57469, 6538, 13279, 5893, 315, 18482, 2860, 33043, 624, 3430, 318, 18482, 79504, 64857, 43860, 2746, 4622, 268, 79504, 467, 7066, 142432, 389, 279, 2155, 26376, 315, 697, 5754, 311, 1855, 697, 1828, 4345, 39910, 6514, 0, 624, 57, 87205, 12583, 10928, 2746, 74629, 36433, 80260, 6772, 2030, 1531, 5999, 2746, 22318, 29937, 4377, 2739, 30166, 5178, 11, 40870, 2694, 19751, 2010, 6595, 7997, 8793, 7219, 1032, 4865, 372, 6395, 66124, 624, 18175, 84701, 1527, 8221, 1404, 97035, 21673, 43860, 57465, 39337, 1079, 6673, 10712, 732, 8031, 26073, 1059, 29159, 11, 4443, 1863, 12540, 3454, 1909, 2528, 458, 13536, 12032, 2030, 16034, 5893, 315, 18482, 3574, 8577, 20112, 1387, 267, 15687, 8793, 624, 4416, 5214, 1268, 267, 15687, 1079, 1527, 42477, 8793, 6395, 36077, 2030, 732, 42678, 6130, 6538, 220, 16, 15, 7577, 285, 2493, 8398, 11, 22075, 6616, 94359, 6222, 4001, 33278, 90935, 22080, 20175, 13, 8408, 54936, 632, 90817, 5999, 67658, 5893, 315, 18482, 19751, 8398, 624, 26493, 64069, 355, 1197, 2685, 33370, 42678, 93232, 139906, 9421, 46728, 2185, 17246, 21519, 343, 12583, 13, 33328, 60297, 304, 2694, 5893, 315, 18482, 13481, 7063, 28865, 289, 23118, 4443, 9820, 39771, 7219, 709, 20512, 27393, 665, 6079, 939, 730, 447, 53113, 624, 91992, 9089, 5451, 31380, 27073, 13518, 9421, 2712, 406, 11, 2694, 14821, 10928, 6538, 26073, 58237, 28883, 1527, 87697, 481, 12412, 27298, 1531, 2746, 13, 3845, 5893, 315, 18482, 220, 21, 26073, 12385, 5451, 468, 13920, 70, 783, 56381, 1032, 4865, 2391, 1174, 5436, 1726, 7522, 11, 22075, 8495, 4368, 94718, 2338, 739, 28789, 4620, 21908, 320, 83956, 44977, 8495, 58237, 2860, 26073, 7219, 44160, 16023, 4292, 785, 3766, 374, 6509, 311 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 387, 11416, 11, 714, 432, 2860, 11846, 1909, 7126, 91855, 28883, 31247, 7253, 2185, 387, 10342, 429, 279, 26029, 374, 27730, 4152, 311, 279, 18048, 315, 5107, 2606, 624, 81761, 17443, 1527, 40231, 529, 64260, 1352, 23602, 13820, 595, 5186, 89, 6772, 4368, 45515, 4757, 25, 25861, 9544, 4620, 21908, 12, 18510, 40951, 50232, 1440, 11, 6395, 35103, 13, 16887, 37699, 91855, 10638, 4937, 53165, 12353, 1850, 2860, 13481, 1854, 11786, 42759, 6739, 42678, 93232, 54395, 2493, 3818, 12643, 624, 54370, 17790, 293, 433, 17392, 74629, 36433, 11, 17790, 18520, 42678, 6130, 3732, 3591, 11, 18520, 84247, 267, 28421, 7828, 645, 65, 1782, 275, 22539, 98103, 42668, 11, 5999, 5893, 315, 18482, 304, 31008, 11, 6395, 5436, 44977, 11, 76720, 2030, 650, 9506, 17029, 11, 28883, 1527, 87697, 12385, 8577, 624, 17360, 5999, 650, 37285, 2956, 24134, 6772, 39353, 517, 2030, 5451, 2048, 7522, 19612, 268, 13368, 12385, 48009, 57148, 11, 2746, 12304, 28086, 304, 3371, 31380, 42241, 268, 13, 151643, 18175, 25777, 268, 3377, 268, 6538, 8280, 10530, 2956, 9779, 9421, 14050, 6070, 32454, 50368, 408, 336, 10230, 21506, 66423, 28324, 2746, 32050, 7997, 2375, 365, 2956, 24134, 88185, 6538, 5665, 60905, 13, 37832, 15719, 304, 5665, 60905, 24852, 95710, 3377, 268, 17630, 13, 43997, 8495, 4368, 6250, 1859, 66685, 2694, 468, 13573, 610, 22385, 2030, 75112, 2142, 355, 11, 12385, 4368, 21491, 65, 10573, 261, 6538, 6982, 2030, 7906, 7997, 2375, 365, 2956, 24134, 21673, 10230, 3591, 12583, 11, 5999, 1531, 9820, 61430, 7256, 74857, 7180, 8495, 624, 31541, 10530, 2956, 9779, 5999, 9820, 76480, 5665, 60905, 2375, 15141, 38132, 11, 2746, 6616, 20004, 65423, 939, 18482, 18618, 2714, 383, 7964, 15719, 13, 51310, 5282, 632, 4818, 6053, 6538, 11766, 901, 2956, 26824, 2030, 6982, 26109, 80129, 3818, 11, 4443, 2746, 84701, 431, 2305, 27899, 6395, 1494, 268, 13, 2362, 1174, 17790, 5999, 1531, 8793, 6616, 11, 572, 8495, 66124, 30, 6569, 258, 22079, 0, 34903, 3119, 268, 2030, 1059, 58158, 7180, 8495, 2746, 7491, 7997, 45061, 811, 307, 13820, 5665, 60905, 2375, 15141, 38132, 9421, 37832, 624, 50855, 2714, 51176, 12495, 4368, 95602, 6975, 4865, 2257, 261, 4716, 84467, 2030, 25531, 17630, 8495, 15462, 49371, 83820, 11, 572, 304, 2694, 136112, 11, 732, 12838, 64474, 12385, 732, 2988, 324, 1494, 17029, 13, 151643, 43, 2391, 5178, 11, 7060, 11, 732, 36356, 15795, 489, 4110, 343, 2030, 135659, 11, 75018, 11, 58442, 42137, 72170, 11, 4443, 59228, 62642, 8793, 6395, 85104, 88287, 11, 85104, 32863, 9089, 11, 7060, 11, 21982, 28837, 4443, 3371, 6250, 70979, 36108, 17837, 645, 65, 1960, 42786, 1147, 932, 62713, 11, 458, 2694, 79280, 321, 2305, 6237, 1859, 1268, 7180, 15462, 77779, 77414, 56751, 2501, 11, 566, 1387, 3818, 11, 7060, 11, 650, 6072, 19358, 6772, 6538, 39449, 11, 30005, 331, 3818, 2030, 3371, 1260, 2015, 268, 26905, 83, 11, 4443, 38897, 21491, 65, 5342, 8793, 6395, 81314, 2391, 7964, 5267, 22171, 30872, 665, 11, 66796, 74, 59391, 301, 665, 20004, 3612, 1942, 17058, 458, 6984, 6433, 44336, 13977, 450, 2030, 2746, 9421, 3612, 1942, 3492, 54048, 467, 1122, 2375, 8229, 36108, 444, 1122, 288, 2030, 75410, 267, 2391, 14553, 12385, 2746, 5699, 76, 1942, 1469, 9919, 713, 46621, 54129, 32708, 15696, 40950, 2125, 96673, 1365, 9911, 12583, 1531, 11, 2746, 6975, 26956, 19981, 2030, 304, 6975, 3371, 12709, 267, 13803, 17739, 468, 80587, 1942, 57465, 39337, 2694, 141774, 4972, 20542, 2030, 2157, 9303, 20542, 10712, 10928, 939, 1967, 65, 408, 6433, 11, 2869, 17739, 11, 5016, 2956, 12495, 305, 648, 17391, 28421, 13, 151643, 3225, 63687, 609, 7487, 481, 7010, 11, 595, 1222, 344, 11, 4368, 35363, 471, 343, 41663, 324, 465, 730, 59391, 1536, 258, 63687, 50559, 301, 31100, 437, 3818, 15462, 33228, 6976, 50, 220, 19, 15, 15, 304, 4368, 282, 1466, 9300, 288, 80331, 58864, 198, 2082, 36601, 268, 198, 13253, 12, 14373, 198, 13253, 2030, 6250, 81112, 198, 45339, 5840, 441, 674, 3664, 14033, 198, 59932, 1087, 403, 198, 18284, 19278, 198, 54, 61811, 198, 14367, 325, 1763, 55632, 2185, 141870, 21673, 198, 2082, 36601, 268, 198, 20705, 89, 6772, 686, 42789, 0, 39149, 450, 28853, 304, 409, 68413, 730, 9935, 458, 198, 40, 4079, 7355, 59522, 606, 198, 40, 4079, 9970, 31151, 198, 12187, 31151, 37801, 38809, 5267, 45696, 46745, 59522, 77131, 2185, 198, 12187, 31151, 13002, 22181, 1923, 54377, 198, 12187, 31151, 49503, 746, 5679, 198, 40, 71, 265, 468, 37513, 12, 67777, 198, 20706, 68, 198, 2082, 36601, 268, 608, 2823, 48734, 1960, 198, 2082, 36601, 268, 198, 20705, 89, 6772, 686, 42789, 0, 386, 57588, 8495, 9089, 458, 198, 40, 4079, 7355, 59522, 606, 198, 40, 4079, 9970, 31151, 198, 70372, 697, 3552, 30, 2126, 1492, 198, 45696, 46745, 59522, 77131, 2185, 198, 12187, 31151, 13002, 22181, 1923, 54377, 198, 12187, 31151, 49503, 746, 5679, 198, 40, 71, 265, 468, 37513, 12, 67777, 198, 53750, 9970, 31151, 14821, 43860, 817, 8299, 1147, 50159, 331, 70980, 624, 13253, 12, 14373, 198, 13253, 2030, 6250, 81112, 198, 45339, 5840, 441, 674, 3664, 14033, 198, 59932, 1087, 403, 198, 18284, 19278, 198, 54, 61811, 198, 14367, 325, 1763, 55632, 2185, 141870, 21673, 198, 13253, 5002, 2285, 198, 3479, 51, 2210, 609, 7487, 481, 7010, 11, 595, 1222, 344, 11, 4368, 35363, 471, 343, 41663, 324, 465, 730, 59391, 1536, 258, 63687, 50559, 301, 31100, 437, 3818, 9338, 51943, 198, 51, 2210, 609, 7487, 1365, 7010, 11, 595, 1222, 344, 11, 4368, 35363, 471, 343, 41663, 324, 465, 730, 59391, 1536, 258, 63687, 50559, 301, 31100, 437, 3818, 15462, 33228, 6976, 50, 220, 19, 15, 15, 304, 4368, 282, 1466, 9300, 288, 80331, 58864, 198, 1, 1001, 9176, 6395, 1, 63687, 609, 7487, 1365, 7010, 11, 595, 1222, 344, 11, 4368, 35363, 471, 343, 41663, 324, 465, 730, 59391, 1536, 258, 63687, 50559, 301, 31100, 437, 3818, 15462, 33228, 6976, 50, 220, 19, 15, 15, 304, 4368, 282, 1466, 9300, 288, 80331, 58864, 198, 50855, 75182, 67058, 25, 48842, 5398, 13785, 61197, 609, 49096, 29937, 80072, 268, 16034, 61150, 63687, 609, 7487, 1365, 7010, 11, 595, 1222, 344, 11, 4368, 35363, 471, 343, 41663, 324, 465, 730, 59391, 1536, 258, 63687, 50559, 301, 31100, 437, 3818, 15462, 33228, 6976, 50, 220, 19, 15 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15, 304, 4368, 282, 1466, 9300, 288, 80331, 58864, 198, 1359, 2340, 9984, 17, 19, 905, 4111, 325, 64832, 5769, 198, 17, 15, 13, 42256, 220, 17, 15, 17, 17, 198, 16, 17, 24, 198, 36, 8052, 5639, 320, 2412, 8, 3303, 220, 24, 13, 42256, 220, 17, 15, 17, 17, 56354, 408, 7714, 2746, 13906, 60297, 19767, 34749, 14835, 34, 13140, 2382, 2073, 5313, 2030, 6489, 81331, 22539, 539, 1952, 730, 59391, 1536, 258, 63687, 50559, 301, 304, 41663, 5639, 24440, 834, 3045, 288, 89423, 25, 14835, 51, 2210, 609, 7487, 2073, 624, 18175, 14835, 2304, 258, 79810, 2073, 5999, 4368, 220, 18, 21, 22, 11405, 357, 12856, 6976, 50, 220, 19, 15, 15, 1365, 2746, 3275, 529, 5186, 7256, 356, 13346, 963, 39620, 96159, 603, 6538, 33228, 62221, 13, 19000, 80331, 58864, 7219, 2429, 19739, 27929, 357, 309, 2501, 9421, 2694, 220, 17, 15, 17, 16, 1197, 2685, 33370, 56740, 14835, 12346, 27634, 76184, 19000, 595, 2718, 83, 14047, 58009, 3848, 331, 1854, 11, 22589, 19104, 6616, 73580, 404, 77, 2694, 730, 59391, 1536, 258, 15269, 58158, 11, 3275, 23162, 54988, 11, 572, 9089, 15269, 258, 668, 39157, 3818, 13, 14835, 17360, 1494, 17029, 38805, 36077, 304, 88787, 58009, 69, 11, 304, 88787, 55397, 13, 23980, 288, 595, 86366, 43105, 96434, 10638, 15269, 58158, 50686, 138936, 63687, 50559, 301, 13, 8408, 220, 18, 24, 12009, 36956, 7256, 2714, 674, 529, 41488, 57519, 45506, 5451, 52716, 14269, 268, 11, 595, 2944, 85, 32289, 11, 2420, 37821, 6433, 44492, 932, 2030, 13906, 60297, 5451, 52716, 7906, 7997, 2375, 365, 2956, 24134, 21673, 4818, 23396, 21211, 2746, 80331, 14357, 1952, 13, 38472, 83382, 2382, 62459, 4443, 2746, 44966, 1365, 34038, 11, 12562, 74, 2863, 11, 31398, 92159, 11, 7148, 11, 1863, 5186, 713, 11, 89266, 11, 50462, 11, 55184, 11, 5347, 436, 624, 18175, 13804, 68, 7180, 6616, 77742, 14835, 51, 2210, 609, 7487, 2073, 1197, 2685, 51292, 3841, 93289, 46668, 97748, 304, 41663, 5639, 13, 48902, 4697, 11, 35346, 56539, 17246, 50753, 261, 2694, 7487, 66805, 85141, 31477, 609, 3539, 13, 70087, 11, 2030, 63687, 50559, 301, 8151, 45699, 95038, 11, 8641, 26252, 14835, 295, 16123, 356, 2624, 642, 2073, 53383, 37896, 6395, 56945, 13, 51310, 48745, 1038, 424, 732, 8979, 31551, 33661, 7180, 2746, 730, 59391, 1536, 258, 19104, 8793, 304, 67232, 13, 60082, 8688, 896, 73276, 13, 8495, 96434, 10246, 652, 4368, 8979, 31915, 35649, 11, 5451, 2429, 9911, 6395, 52716, 20004, 41137, 11595, 282, 21519, 3342, 13, 14835, 11578, 11, 6616, 8896, 17790, 1962, 10453, 69876, 13, 1581, 482, 80331, 5999, 7010, 11, 595, 1222, 344, 2030, 4368, 35363, 471, 343, 13, 19000, 6368, 267, 6395, 6975, 34047, 11, 4116, 48902, 4697, 76720, 387, 78400, 529, 624, 54370, 14835, 51, 2210, 609, 7487, 2073, 14821, 80331, 37699, 7219, 38383, 1205, 1064, 36408, 15113, 2257, 13, 33312, 2429, 11443, 34311, 63687, 5, 5974, 15719, 7219, 5573, 2030, 13991, 2739, 8400, 5178, 12643, 11, 23738, 6616, 282, 1466, 85527, 80331, 58864, 81625, 22010, 2694, 730, 59391, 1536, 258, 67058, 21506, 28129, 82, 5999, 624, 18175, 33312, 25402, 48874, 45061, 37347, 2694, 7487, 66805, 85141, 31477, 609, 3539, 13, 70087, 2148, 1020, 220, 16, 22, 20, 23, 5451, 2694, 2825, 34271, 2185, 17058, 5016, 76, 1122, 68, 732, 91245, 1626, 15141, 74, 17739, 11840, 811, 30102, 13, 54412, 10712, 220, 17, 20, 15, 48015, 87791, 93096, 6616, 52159, 3591, 29159, 37060, 5451, 220, 20, 15, 15, 78722, 19985, 932, 458, 220, 16, 20, 15577, 371, 268, 304, 663, 5186, 27918, 11, 37337, 11759, 11, 37337, 11759, 57916, 39416, 2030, 55591, 6395, 17443, 2694, 74539, 1960, 33228, 62221, 12, 60134, 304, 32618, 301, 450, 23747, 1933, 624, 14367, 325, 39720, 9913, 510, 51, 2210, 50559, 301, 198, 39, 33501, 12009, 3103, 6222, 2172, 23455, 220, 23, 198, 24, 24, 15, 23, 21, 41663, 5639, 198, 36, 37513, 25, 40746, 31, 83, 2210, 5504, 90240, 905, 198, 44, 27929, 25, 220, 15, 16, 20, 16, 220, 16, 24, 220, 16, 21, 220, 16, 23, 220, 15, 15, 198, 2136, 734, 2210, 5504, 90240, 905, 198, 5974, 66805, 85141, 31477, 609, 3539, 13, 70087, 198, 78662, 48655, 269, 802, 1674, 8501, 220, 17, 198, 24, 24, 19, 17, 23, 1205, 87356, 46168, 709, 30102, 198, 36, 37513, 25, 8493, 31, 2810, 1331, 331, 54426, 2285, 198, 2136, 6678, 1331, 331, 54426, 2285, 198, 18395, 12, 2762, 6538, 25, 7487, 66805, 85141, 31477, 609, 3539, 13, 70087, 11, 13785, 23692, 3818, 19767, 3669, 22318, 41658, 198, 33, 695, 265, 38486, 25, 35346, 56539, 17246, 50753, 261, 48902, 4697, 21982, 33228, 62221, 8979, 31551, 7487, 66805, 5999, 387, 78400, 529, 6538, 63687, 50559, 2010, 282, 1466, 9300, 336, 80331, 58864, 608, 72998, 261, 2918, 13785, 297, 2576, 2030, 8438, 556, 21797, 37953, 2285, 9612, 81, 14, 16, 21, 18, 17, 15, 17, 608, 8408, 6250, 66671, 46668, 44492, 288, 5999, 7180, 2518, 67726, 6712, 83126, 60273, 21506, 12721, 83, 2185, 342, 45124, 13, 4081, 93339, 261, 18372, 89, 28122, 2721, 287, 11595, 15669, 277, 97369, 13, 6250, 132149, 2185, 67382, 5451, 44492, 265, 38486, 11278, 258, 73869, 624, 30124, 13363, 86, 16568, 198, 13253, 198, 42, 359, 267, 198, 6639, 22837, 8495, 3371, 98552, 25, 63687, 609, 7487, 1365, 7010, 11, 595, 1222, 344, 11, 4368, 35363, 471, 343, 41663, 324, 465, 730, 59391, 1536, 258, 63687, 50559, 301, 31100, 437, 3818, 15462, 33228, 6976, 50, 220, 19, 15, 15, 304, 4368, 282, 1466, 9300, 288, 80331, 58864, 198, 20489, 198, 24862, 198, 76586, 198, 92421, 198, 22070, 258, 198, 6033, 67, 2132, 198, 4781, 198, 8994, 198, 95162, 198, 72244, 198, 58083, 198, 52780, 198, 35, 20218, 198, 53, 269, 1923, 7272, 50201, 33, 1241, 288, 372, 86, 3818, 1065, 1571, 258, 47406, 440, 312, 36947, 83, 56381, 730, 4659, 300, 331, 32997, 75, 19358, 68, 732, 6250, 81112, 25, 5363, 74, 2185, 939, 12100, 562, 2944, 79956, 4942, 8669, 27684, 36956, 19285, 468, 63274, 3004, 1775, 2185, 2030, 22996, 16722, 54102, 34906, 3664, 14033, 198, 45, 31573, 3667, 50201, 98199, 10383, 25, 2362, 83126, 333, 2010, 13464, 6616, 422, 610, 5699, 11567, 26824, 35780, 15462, 8408, 24585, 16722, 71935, 69, 529, 343, 97035, 37633, 11, 5214, 17029 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24209, 28064, 2185, 778, 331, 32997, 198, 3533, 9984, 17, 19, 905, 4111, 325, 64832, 5769, 2428, 1110, 2136, 10367, 9984, 17, 19, 905, 198, 86975, 24134, 20005, 663, 16335, 198, 51943, 198, 33026, 43774, 732, 7377, 268, 431, 7066, 2185, 43577, 198, 51943, 198, 50, 1055, 371, 14906, 76, 730, 4659, 300, 331, 32997, 52549, 6616, 422, 457, 15895, 2694, 9740, 811, 8801, 65, 9151, 74001, 3591, 83630, 6772, 28275, 39416, 7256, 12100, 562, 2944, 79956, 68, 12583, 76720, 16111, 2787, 15232, 730, 4659, 300, 331, 32997, 198, 51943, 198, 36, 7671, 2970, 12, 94234, 304, 44979, 1365, 773, 9089, 932, 8495, 35783, 20605, 10507, 668, 198, 12, 2410, 10218, 478, 18221, 13253, 26671, 1704, 304, 479, 41145, 67931, 7522, 5999, 6250, 2172, 84, 724, 82, 1777, 25, 6250, 10661, 75, 11595, 17821, 2030, 6624, 50232, 1440, 198, 13253, 26671, 1704, 304, 98675, 25, 1230, 22097, 500, 449, 17029, 2030, 595, 22157, 24716, 1241, 6772, 198, 13253, 26671, 1704, 304, 98675, 25, 1230, 22097, 500, 449, 17029, 2030, 595, 22157, 24716, 1241, 6772, 198, 13253, 26671, 1704, 304, 29505, 23162, 25, 17275, 1923, 15515, 275, 423, 14383, 1387, 1365, 834, 1137, 8979, 198, 13253, 26671, 1704, 304, 328, 776, 377, 71, 2956, 889, 25, 92887, 16597, 1704, 4487, 268, 22385, 5999, 65733, 267, 288, 77356, 198, 1806, 82, 485, 31313, 325, 14668, 198, 14367, 325, 64832, 5769, 2340, 14373, 17, 19, 905, 1365, 86784, 4111, 325, 37953, 1913, 3533, 14373, 905, 1365, 4111, 325, 37953, 2340, 12, 6954, 89, 2285, 1365, 19000, 86784, 4111, 325, 37953, 425, 13880, 57, 35, 905, 1365, 9374, 649, 14373, 2285, 1365, 501, 7399, 18, 21, 20, 2285, 1365, 548, 17616, 72, 2285, 1365, 4111, 6998, 783, 11595, 45251, 2285, 1365, 4111, 325, 64832, 5769, 12, 14373, 2285, 1365, 4111, 325, 37953, 12, 14373, 2285, 1365, 1532, 2280, 6712, 2285, 1365, 93822, 2853, 268, 905, 1365, 8979, 627, 301, 905, 1365, 8979, 10661, 301, 29431, 2285, 1365, 8979, 31551, 649, 905, 1365, 5006, 27929, 2630, 61811, 905, 1365, 3078, 363, 3065, 9984, 2285, 1365, 289, 33758, 79956, 27073, 3372, 905, 1365, 3233, 2508, 2285, 1365, 3078, 363, 3065, 13788, 2285, 1365, 1803, 2508, 2285, 1365, 1803, 649, 2285, 1365, 38639, 21797, 905, 1365, 1803, 2911, 9984, 905, 1365, 384, 45123, 263, 27744, 17, 19, 905, 1365, 976, 9887, 9984, 2285, 1365, 1803, 649, 9984, 905, 1365, 85580, 89, 70, 1370, 6535, 905, 1365, 85580, 89, 14933, 905, 1365, 85580, 11687, 3077, 905, 1365, 85580, 25329, 695, 905, 1365, 85580, 30781, 61811, 2285, 1365, 548, 2717, 263, 27744, 905, 1365, 3078, 263, 365, 11553, 403, 905, 1365, 85580, 89, 29413, 2185, 905, 1365, 1803, 649, 9984, 2285, 1365, 24989, 2717, 263, 27744, 2285, 1365, 3078, 46288, 9984, 2285, 1365, 7060, 83592, 3902, 31551, 2285, 1365, 5006, 354, 344, 21115, 295, 2285, 1365, 3233, 26671, 1704, 12, 5054, 28244, 273, 905, 1365, 1803, 57988, 2285, 1365, 289, 33758, 79956, 27073, 9887, 2285, 1365, 5006, 27929, 30117, 27997, 905, 1365, 3233, 66496, 89, 905, 1365, 5006, 27929, 28904, 11619, 905, 1365, 24989, 69, 15113, 2986, 4733, 17, 19, 905, 1365, 19739, 838, 83, 9984, 2285, 1365, 21506, 37060, 45251, 2285, 1365, 548, 2268, 21797, 37953, 2285, 1365, 548, 2268, 21797, 64832, 5769, 2285, 481, 3078, 46288, 9984, 905, 481, 548, 2717, 263, 27744, 2285, 481, 4111, 325, 37953, 7180, 37625, 268, 12, 14373, 151643, 16, 17, 13, 15, 18, 13, 17, 15, 17, 16, 220, 16, 17, 13, 15, 18, 13, 17, 15, 17, 16, 386, 2717, 4110, 198, 18175, 47669, 758, 35505, 624, 35807, 13, 6909, 26, 28223, 645, 26, 43120, 26, 14686, 724, 20283, 273, 26, 5586, 26, 42161, 26, 14028, 2587, 7421, 956, 51078, 304, 27267, 77717, 458, 65423, 13, 8408, 5016, 20175, 20805, 261, 12583, 49503, 25, 5451, 8766, 77, 46745, 6566, 268, 19868, 331, 16676, 2030, 5699, 27105, 7997, 10157, 579, 19875, 3680, 6817, 84, 932, 13, 29434, 61882, 2030, 38897, 55857, 36956, 1960, 5436, 44977, 24440, 135972, 46668, 8394, 304, 15383, 13, 58616, 56945, 2746, 98376, 15462, 4182, 10386, 42477, 1191, 268, 2030, 1230, 5679, 3199, 74772, 541, 8099, 350, 1134, 37633, 56946, 2956, 6498, 932, 13, 18528, 16448, 25434, 34075, 576, 4050, 422, 2810, 7421, 34075, 25, 576, 4050, 481, 7421, 901, 2305, 652, 6222, 60361, 25, 21766, 83758, 336, 136800, 7219, 7421, 20805, 68, 198, 50855, 5999, 2746, 96042, 93094, 5342, 29253, 37114, 144835, 3959, 3089, 22837, 939, 38093, 13434, 13, 53487, 42509, 46070, 16976, 28206, 60074, 780, 26956, 61811, 295, 835, 6772, 59228, 72705, 37502, 1079, 75680, 65, 1194, 23198, 11, 7180, 3371, 2714, 19104, 83281, 9421, 97761, 1659, 444, 23678, 5679, 12222, 9820, 328, 56188, 28831, 8896, 11, 4443, 52434, 7421, 9421, 2429, 44602, 268, 6395, 305, 17205, 624, 1912, 89, 1377, 7219, 422, 10586, 13, 73208, 7219, 38093, 13434, 732, 3680, 408, 14906, 76, 14410, 54081, 13, 76604, 5451, 72440, 647, 962, 26956, 61811, 7714, 2714, 6538, 16951, 301, 220, 17, 2293, 19, 3371, 19801, 36665, 482, 23198, 624, 50, 740, 65, 1194, 23198, 13, 8408, 12042, 39470, 17058, 16951, 301, 88280, 529, 77556, 4368, 14761, 9433, 37419, 13, 25636, 6130, 263, 23198, 13, 54068, 42668, 47143, 40462, 69713, 4841, 1103, 10860, 2429, 73850, 7964, 23388, 37137, 2165, 778, 20283, 273, 434, 37114, 144254, 81, 647, 79985, 21785, 5744, 3757, 60074, 780, 25006, 790, 1826, 18849, 624, 10611, 417, 355, 9164, 5309, 16976, 4615, 6929, 374, 35378, 11732, 6252, 436, 220, 18, 315, 2400, 624, 5830, 1389, 28421, 1079, 18977, 37114, 54509, 81, 1983, 44979, 13, 56231, 304, 2806, 143155, 268, 14821, 2746, 76604, 59908, 2694, 3386, 268, 28551, 7231, 1371, 5451, 2429, 730, 76966, 309, 87533, 3893, 96695, 624, 1514, 275, 2694, 54936, 14668, 16951, 301, 27298, 1531, 41983, 41796, 11, 2746, 2746, 50098, 732, 451, 27784, 49773, 1579, 300, 9057, 44977, 13, 6122, 7421, 50583, 624, 25434, 956, 51078, 25, 5540, 388, 27941, 2111, 2970, 12, 5830, 6817, 8801, 7421, 34075, 25, 5540, 388, 18660, 5999, 4368, 40685, 12462, 11, 304, 2429, 28206, 60074, 780, 53383, 5451, 72440, 33328, 277, 72964, 22388, 87502, 11, 2694, 21331, 35725, 529, 258, 13225, 4260, 9305, 2746, 13279, 28206, 10712, 7996, 86, 8535, 69, 15113, 84409, 796, 19985, 295, 2030, 17443, 53936 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 794, 8666, 15843, 15232, 309, 42524, 11, 7801, 9395, 273, 11, 3371, 3089, 21211, 2694, 48158, 7421, 20805, 261, 9443, 5178, 624, 17360, 5999, 8793, 81331, 11, 13368, 36077, 51239, 4368, 13017, 44914, 462, 19832, 59801, 41203, 624, 25434, 34075, 576, 4050, 422, 2810, 91912, 2576, 423, 50591, 25151, 198, 44667, 422, 10586, 14028, 304, 348, 32289, 23334, 42477, 77919, 6395, 20048, 11, 8486, 1859, 70667, 16111, 30094, 31852, 304, 1581, 68413, 16482, 6395, 22318, 1524, 268, 13, 57927, 939, 65314, 481, 12741, 27684, 36956, 6772, 5342, 12011, 1674, 1073, 300, 11610, 6909, 28223, 645, 43120, 14686, 724, 20283, 273, 5586, 42161, 14028, 13, 7421, 34075, 25, 576, 4050, 481, 220, 17, 15, 17, 15, 11131, 481, 19832, 220, 17, 25, 12826, 37969, 3173, 4894, 25434, 34075, 576, 4050, 422, 2810, 451, 2957, 804, 5676, 2391, 198, 32617, 24356, 2714, 37400, 83, 9820, 1863, 1704, 5583, 46728, 11, 2746, 2746, 362, 39470, 268, 17058, 94718, 1960, 328, 11042, 2185, 939, 14627, 2739, 8400, 5178, 13, 328, 56188, 10080, 11081, 15398, 2694, 39613, 25, 508, 24, 26126, 43, 16479, 74629, 1579, 13, 2607, 613, 22589, 1531, 57093, 80260, 20005, 66461, 51707, 3393, 44850, 8934, 11, 458, 7421, 6395, 58065, 481, 49536, 14821, 883, 10928, 35515, 485, 19929, 2305, 665, 4368, 746, 5679, 2030, 5451, 4087, 8801, 65, 9151, 425, 15718, 932, 2030, 77877, 29643, 20481, 20551, 13, 9740, 5999, 2694, 31397, 850, 2694, 56740, 2030, 26109, 13785, 264, 13920, 16951, 17454, 6538, 17443, 730, 76966, 309, 2148, 273, 41538, 624, 25434, 956, 51078, 25, 5540, 388, 27941, 2111, 2970, 12, 5830, 6817, 8801, 7421, 34075, 25, 5540, 388, 18660, 5999, 4368, 40685, 12462, 11, 304, 2429, 28206, 60074, 780, 53383, 5451, 72440, 33328, 277, 72964, 22388, 87502, 11, 2694, 21331, 35725, 529, 258, 13225, 4260, 9305, 2746, 13279, 28206, 10712, 7996, 86, 8535, 69, 15113, 84409, 796, 19985, 295, 2030, 17443, 53936, 794, 8666, 15843, 15232, 309, 42524, 11, 7801, 9395, 273, 11, 3371, 32559, 722, 85127, 220, 17, 2694, 48158, 7421, 20805, 261, 9443, 5178, 624, 54, 86805, 141775, 13785, 94919, 28724, 288, 24505, 2356, 13, 8408, 9740, 267, 11855, 495, 16722, 2185, 2694, 48158, 19832, 17058, 16951, 301, 53211, 5178, 304, 2694, 97504, 304, 2694, 66968, 5016, 5186, 69, 1126, 1528, 732, 95006, 3452, 14552, 22463, 3179, 11, 304, 2694, 2746, 49765, 665, 39455, 709, 27684, 321, 2501, 14821, 624, 94050, 17227, 15495, 37347, 94919, 54493, 65, 29560, 24505, 2356, 0, 42161, 50201, 2694, 730, 37473, 13315, 13, 6702, 8408, 95506, 2694, 5124, 4716, 30683, 939, 61882, 12, 60669, 95506, 89931, 61065, 663, 16335, 403, 1574, 1863, 1704, 32251, 7272, 50201, 624, 80515, 16023, 74191, 25994, 11, 4443, 43860, 2746, 1850, 76, 61897, 20005, 39610, 83, 3914, 36614, 66238, 6395, 20048, 13, 29434, 289, 7066, 295, 5451, 7148, 20551, 92048, 4443, 1230, 5679, 7421, 11, 7060, 304, 2694, 328, 56188, 1079, 84701, 7421, 75315, 624, 57734, 2823, 1415, 738, 11687, 3371, 23334, 72101, 53936, 54936, 14668, 422, 1151, 709, 11, 2694, 9089, 732, 66968, 37419, 73197, 61897, 529, 8896, 11, 11845, 11, 66983, 2746, 61882, 7658, 4266, 30632, 41557, 3371, 3680, 61229, 97713, 8224, 46680, 304, 15383, 26956, 2106, 295, 624, 18175, 11020, 285, 54736, 85239, 304, 2694, 97504, 2746, 63165, 17739, 142845, 2030, 95013, 622, 15398, 17058, 81440, 7219, 3371, 88687, 50098, 2030, 835, 268, 5451, 2429, 289, 2956, 331, 306, 21673, 7421, 45702, 4370, 624, 1427, 30682, 65, 3454, 75278, 22318, 533, 13017, 7231, 1371, 77919, 2746, 70219, 1020, 1782, 275, 2694, 56740, 7180, 35780, 83592, 13, 758, 2694, 43120, 40416, 883, 732, 85117, 43183, 81548, 268, 11, 12763, 70628, 27267, 14047, 7421, 624, 25863, 11471, 16976, 3680, 1389, 28421, 1079, 220, 23, 13, 8408, 142407, 69, 15113, 2986, 4733, 12583, 35951, 35225, 5451, 28449, 9247, 9421, 6969, 1587, 295, 13, 758, 3371, 7279, 1191, 7714, 2746, 16951, 301, 1079, 8408, 3386, 1579, 309, 9247, 2030, 2746, 730, 15232, 309, 42524, 34242, 3002, 11610, 33315, 96382, 4366, 81442, 304, 2694, 56740, 87533, 6395, 53835, 11, 12643, 19104, 8793, 1105, 3605, 17029, 624, 44, 1442, 1536, 896, 457, 1147, 83049, 2714, 63620, 2694, 730, 15232, 1574, 1070, 6395, 59228, 52747, 7577, 22157, 508, 16, 18, 60, 2030, 19767, 2746, 468, 6130, 1466, 5676, 9421, 7421, 20805, 68, 2030, 6928, 5999, 2714, 47332, 1536, 896, 457, 33529, 13977, 13, 45481, 2746, 294, 98280, 16951, 301, 387, 285, 2493, 2010, 41210, 47650, 220, 17, 13, 5232, 417, 355, 9660, 16976, 151643, 15, 17, 5004, 372, 4368, 38805, 22385, 50095, 76716, 524, 93434, 14505, 5999, 11, 4443, 2694, 26692, 9111, 36614, 6538, 92979, 66287, 13920, 6395, 12643, 198, 16, 19, 25, 18, 15, 481, 220, 16, 21, 25, 15, 15, 37210, 41203, 42603, 3644, 261, 82557, 355, 87227, 11595, 25, 8408, 9812, 2030, 2746, 7279, 10712, 2590, 37035, 16358, 665, 552, 1818, 46128, 151643, 5911, 46745, 59522, 77131, 2185, 760, 259, 16053, 75, 485, 404, 29560, 198, 51, 16053, 75, 485, 72, 431, 29560, 758, 10573, 261, 11565, 5331, 30102, 83, 198, 18175, 9443, 85953, 49633, 41210, 56500, 15462, 35323, 268, 49371, 83820, 95038, 11, 572, 5451, 70836, 1697, 268, 12, 22996, 11706, 268, 46954, 198, 26493, 8495, 304, 4368, 65608, 627, 1276, 48376, 3065, 268, 13, 1597, 485, 46954, 12643, 5006, 81591, 28789, 18078, 1387, 2694, 16023, 19767, 44367, 8700, 12, 2320, 68, 198, 261, 14847, 267, 13, 19000, 12583, 13906, 60297, 2799, 10559, 46954, 320, 89, 1785, 13, 8031, 22468, 11, 13017, 44914, 778, 612, 12385, 38183, 29413, 939, 82276, 2863, 1626, 87083, 568, 8408, 41663, 395, 2185, 198, 25655, 57984, 13, 8495, 17630, 7906, 88660, 4368, 1032, 13920, 11, 2746, 8907, 34966, 2185, 11, 3089, 615, 2185, 12385, 132678, 21062, 2185, 31008, 46954, 6395, 2739, 5205, 268, 13, 38747, 25655, 39307, 6395, 30632, 268, 70777, 16034, 61150, 91741, 32997, 20048, 8495, 9089, 55928, 29413, 21506, 2694, 732, 96783, 372, 32175, 42316, 268, 89470, 458, 6975, 6395, 289, 19875, 13, 3874, 72998, 268, 54383, 43860, 4368, 77814, 6566, 96393, 13920, 13279, 2694, 1147, 590, 21545, 6433, 25714, 82, 4865, 82, 29898, 9416, 450, 6395, 624, 641, 10573, 261, 11565, 5331, 30102, 83, 384, 11352, 624, 21645, 21470, 25, 488, 19, 24, 320, 15, 8, 220, 19, 20, 220, 15, 18, 220, 17, 19 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 220, 22, 16, 198, 36, 37513, 25, 40746, 31, 83, 16053, 75, 485, 404, 29560, 2285, 198, 53, 24619, 46954, 423, 59908, 2185, 3492, 1775, 76141, 12583, 12222, 5451, 75077, 9421, 3612, 19358, 21673, 18069, 14387, 42603, 50837, 13, 8495, 20048, 9820, 47143, 220, 13820, 321, 665, 18069, 14387, 42603, 55928, 29413, 9724, 615, 28421, 13, 422, 39129, 312, 4865, 9820, 1352, 1469, 21766, 55632, 2185, 817, 468, 37513, 458, 6975, 13, 8408, 1032, 331, 13730, 68947, 50499, 2694, 14840, 16034, 47640, 615, 1704, 53211, 70, 1960, 46954, 6913, 1427, 434, 5054, 3258, 46745, 32997, 47631, 50095, 6250, 267, 78940, 54383, 2429, 425, 8804, 25651, 268, 4368, 77814, 6566, 96393, 13920, 13279, 2694, 1147, 590, 21545, 6433, 25714, 82, 4865, 82, 29898, 9416, 450, 2082, 6395, 13, 93716, 21545, 7256, 25714, 82, 4865, 82, 29898, 9416, 450, 304, 3258, 46745, 32997, 47631, 21673, 70777, 5999, 2694, 11426, 288, 5911, 46745, 32997, 1371, 50528, 52015, 665, 939, 46307, 1933, 288, 11, 304, 2429, 23898, 61197, 59228, 328, 11042, 8896, 13, 51310, 73086, 2694, 91741, 32997, 1371, 50528, 52015, 1960, 39307, 87862, 36866, 585, 1296, 13518, 20048, 9443, 57064, 336, 5948, 1197, 16687, 5676, 12643, 25, 3703, 322, 2136, 948, 6902, 72, 948, 1241, 2285, 14, 1150, 14, 1731, 339, 1225, 14, 69599, 16789, 333, 1960, 2351, 15504, 14, 596, 16789, 333, 1960, 25258, 39054, 2564, 198, 80515, 47404, 9979, 11687, 9421, 74303, 87818, 901, 34271, 268, 2030, 16034, 5016, 32997, 2694, 49371, 52015, 2185, 2739, 2172, 360, 28064, 91912, 665, 11, 13368, 16034, 79192, 7107, 76213, 12385, 1527, 1626, 8535, 11, 2746, 8495, 458, 6975, 10712, 82276, 28551, 265, 8629, 3624, 268, 11, 9820, 25316, 1455, 30781, 13, 41654, 19625, 388, 67056, 30203, 301, 2185, 13, 51310, 47708, 75, 30203, 301, 665, 6250, 90226, 88766, 40193, 8495, 15269, 276, 11, 14948, 2746, 2410, 673, 2986, 457, 939, 425, 90558, 6538, 330, 1254, 52136, 7219, 3703, 52136, 582, 55457, 3818, 2030, 458, 2429, 5016, 9379, 6222, 4001, 304, 75077, 16482, 2986, 457, 13, 43997, 2746, 25316, 12, 66809, 13, 41654, 19625, 388, 67056, 30203, 301, 2185, 49183, 17029, 5999, 11, 20048, 2746, 46954, 11, 2746, 8495, 458, 6975, 13785, 23692, 17454, 11, 8793, 6538, 422, 12153, 5451, 709, 56027, 12643, 624, 18175, 8031, 325, 14668, 79551, 77414, 41210, 773, 4081, 276, 23446, 25994, 13, 25994, 435, 28698, 7219, 77065, 1032, 85577, 79913, 5016, 21140, 458, 2030, 1197, 35505, 31357, 647, 46335, 13, 25994, 1853, 33370, 53797, 11, 23898, 81020, 9979, 7070, 24716, 1241, 50095, 11, 3289, 17149, 1524, 2030, 54548, 261, 6395, 37896, 13, 25994, 12583, 53555, 2918, 1028, 3591, 11, 2746, 7219, 77065, 1032, 85577, 668, 709, 71168, 12643, 2030, 2746, 35783, 16482, 2341, 92473, 13, 8408, 84701, 2694, 6538, 6975, 31100, 408, 33748, 25994, 12583, 773, 4081, 276, 23446, 330, 5283, 7658, 25874, 3263, 8495, 12643, 14047, 51292, 19051, 416, 18078, 53152, 5006, 81591, 17837, 32454, 13920, 13, 1597, 485, 25994, 90556, 7219, 77065, 3972, 137143, 14410, 375, 92473, 14840, 8495, 26769, 326, 32454, 7522, 13, 54068, 25994, 97035, 21673, 1531, 6975, 11, 70836, 16482, 28789, 90935, 18078, 1387, 26252, 89, 8801, 74, 40193, 13, 8495, 20048, 70836, 16482, 773, 4368, 58158, 11, 14948, 8495, 13785, 6616, 2573, 5679, 6538, 25994, 6051, 17029, 12643, 2030, 25994, 12222, 732, 18069, 86612, 541, 2714, 4260, 75967, 11, 2746, 9305, 1466, 2660, 6538, 25994, 7180, 94718, 665, 143053, 12385, 1766, 613, 24131, 331, 11567, 26824, 39307, 6616, 5006, 69022, 89452, 7522, 2694, 25994, 28789, 5016, 11567, 26824, 939, 425, 90558, 49183, 16030, 13, 47436, 2694, 1581, 73607, 36616, 6538, 25994, 15719, 2746, 39610, 83, 3914, 36614, 31008, 16023, 384, 40399, 16789, 15141, 5840, 19349, 13, 25994, 11, 2746, 17312, 60423, 132975, 939, 62788, 34685, 17739, 87727, 70449, 804, 85, 1775, 64487, 12385, 17312, 43157, 275, 54377, 94718, 465, 11, 6538, 43860, 66386, 66107, 66685, 71065, 268, 320, 89, 1785, 13, 467, 9151, 40717, 13233, 3122, 27391, 8, 36408, 1358, 6772, 12583, 11, 12643, 47227, 55754, 6538, 5166, 13, 21, 22080, 13, 16, 13020, 13, 282, 13, 422, 7783, 11169, 14410, 375, 92473, 13, 12741, 16023, 28551, 265, 8629, 8896, 4368, 26933, 13920, 343, 2338, 5665, 23318, 458, 2694, 12307, 28064, 2185, 6538, 25994, 17312, 2799, 16053, 1152, 71, 1536, 24716, 3591, 2030, 7553, 77399, 43157, 275, 54377, 53936, 60404, 5342, 13, 328, 23733, 275, 32936, 25994, 320, 1147, 1785, 13, 25994, 17312, 37427, 325, 19051, 416, 64097, 423, 39416, 724, 8, 14410, 375, 92473, 12643, 11, 12643, 26769, 304, 31008, 91741, 59522, 77131, 2185, 14410, 2111, 529, 72202, 3818, 13, 151643, 38102, 3228, 88, 10672, 278, 472, 4122, 64, 472, 1127, 74, 6535, 16465, 18863, 813, 5451, 25771, 2860, 51134, 13279, 5699, 76, 1942, 88551, 2285, 198, 15, 19, 15, 16524, 12, 23, 22, 320, 15, 8, 28737, 3228, 88, 10672, 278, 472, 4122, 64, 472, 1127, 74, 6535, 16465, 18863, 813, 5451, 25771, 198, 15, 19, 15, 16524, 12, 23, 22, 320, 15, 8, 220, 22, 24, 11, 15, 15, 12984, 11840, 1107, 1726, 285, 198, 22171, 1527, 71, 61673, 5999, 5451, 259, 5186, 74, 23129, 1863, 14136, 21251, 12, 20903, 16676, 2030, 10672, 35649, 9057, 61007, 13, 9740, 98421, 9421, 2694, 472, 4122, 64, 481, 10928, 81331, 10712, 8536, 2694, 25348, 7523, 2030, 5699, 12543, 529, 25494, 74764, 13, 25714, 2429, 259, 5186, 74, 23129, 1527, 71, 61673, 5999, 136249, 9820, 294, 1915, 57168, 13820, 472, 4122, 64, 304, 16465, 18863, 813, 7219, 709, 85426, 624, 35, 2574, 13225, 8892, 18729, 93383, 15719, 2746, 444, 76141, 2694, 730, 6535, 22665, 41658, 32175, 41101, 267, 12643, 13, 11331, 23455, 25, 730, 6535, 2162, 13, 220, 19, 15, 9961, 8688, 481, 2739, 41137, 2257, 39, 4122, 64, 2162, 13, 220, 16, 9961, 61291, 81936, 529, 11595, 1581, 482, 61291, 81936, 529, 2185, 151643, 38, 783, 2030, 9820, 7607, 68, 17630, 18069, 20512, 9034, 13785, 2746, 1205, 90550, 81006, 1859, 17029, 424, 9421, 17443, 69713, 408, 31551, 304, 30198, 652, 12743, 2267, 2892, 13, 758, 444, 587, 896, 71, 1440, 5436, 1387, 1960, 1230, 76514, 276, 23446, 304, 4368, 47375, 6395, 17837, 59141, 11, 47650, 19104, 12743, 51817, 624, 18175, 3651, 551, 72, 1345, 301, 2986, 2714, 23692, 3818, 14047, 17443, 18069, 1323, 1387, 304, 30198, 652, 2030 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17443, 18069, 1323, 53152, 3004, 1387, 304, 444, 587, 896, 71, 1440, 13, 3406, 6712, 25, 19612, 60365, 198, 2082, 2986, 7256, 198, 49506, 652, 7434, 587, 896, 71, 1440, 198, 53750, 20512, 9034, 12583, 47226, 11840, 94905, 11, 220, 16, 23, 38183, 11, 2030, 4320, 1194, 46680, 11, 220, 16, 18, 38183, 11, 304, 4368, 69713, 408, 31551, 1079, 794, 329, 15560, 791, 304, 30198, 652, 48376, 291, 81, 11595, 13, 42616, 2746, 3651, 551, 72, 5451, 55632, 665, 11, 1197, 40231, 33748, 2746, 1230, 76514, 276, 42469, 51239, 2030, 9820, 7607, 68, 13, 8408, 136142, 939, 5016, 329, 724, 54383, 17790, 8793, 18859, 13, 47436, 17443, 18069, 1323, 53152, 3004, 1387, 1501, 645, 65, 1531, 294, 424, 4370, 1079, 4320, 1194, 46680, 47226, 220, 16, 16, 13, 18, 15, 2030, 220, 16, 24, 38183, 458, 2694, 26647, 23455, 444, 34711, 30102, 304, 444, 587, 896, 71, 1440, 13, 58616, 73184, 1960, 350, 70551, 13785, 2746, 59869, 544, 5186, 304, 4368, 54412, 69, 20933, 3591, 31551, 17837, 59141, 13, 8408, 468, 8719, 1442, 1536, 5699, 11567, 26824, 8793, 9421, 11, 14948, 2746, 350, 70551, 13279, 71017, 33328, 10573, 268, 12743, 51817, 30179, 12583, 624, 18175, 3651, 551, 72, 1345, 301, 2986, 305, 1847, 83, 304, 69791, 434, 32251, 268, 7219, 9919, 68989, 2030, 45692, 2501, 21506, 68987, 320, 15, 20, 16, 18, 22, 8, 220, 23, 17, 22, 15, 49633, 41210, 1197, 709, 4370, 13, 151643, 144580, 5366, 2, 16, 15, 25, 362, 31824, 350, 2625, 20150, 645, 1389, 760, 479, 59391, 343, 384, 74122, 28421, 0, 760, 7107, 34099, 4894, 5366, 2, 16, 15, 25, 362, 31824, 350, 2625, 7379, 268, 8495, 38472, 7107, 34099, 0, 320, 53, 2375, 54371, 7856, 52, 340, 5366, 2, 16, 15, 25, 362, 31824, 350, 2625, 7379, 268, 8495, 38472, 7107, 34099, 0, 320, 38, 783, 978, 9151, 340, 54370, 66482, 51309, 54371, 67488, 15671, 35103, 8495, 35783, 362, 31824, 350, 2625, 38805, 35323, 2030, 58052, 4894, 32, 31824, 350, 2625, 20150, 645, 1389, 1365, 61043, 485, 51309, 54371, 267, 54167, 7180, 8495, 4894, 81761, 44160, 47404, 356, 28085, 290, 905, 5999, 26769, 51309, 54371, 267, 54167, 6395, 362, 31824, 350, 2625, 1273, 268, 9820, 6538, 68042, 51309, 54371, 67488, 15671, 13, 45481, 18302, 288, 69342, 34368, 15671, 16111, 22665, 41658, 7180, 8495, 1365, 304, 55928, 730, 37473, 1365, 38472, 51309, 54371, 267, 54167, 624, 80593, 362, 31824, 350, 2625, 3393, 2746, 61430, 7256, 58154, 805, 57926, 2185, 35103, 4894, 48047, 85970, 43860, 38472, 58154, 805, 57926, 2185, 76120, 4865, 932, 11, 93328, 17630, 16111, 80260, 20005, 1205, 709, 81671, 11, 4443, 8495, 28789, 58154, 939, 362, 31824, 350, 2625, 6395, 143562, 624, 18175, 10991, 92918, 6395, 362, 31824, 350, 2625, 35103, 8495, 9421, 36744, 47227, 9179, 49662, 44160, 51309, 54371, 67488, 15671, 5451, 92660, 2694, 6909, 220, 16, 15, 308, 1777, 258, 8199, 7219, 70, 19230, 295, 624, 1806, 82, 485, 85651, 2185, 4886, 2542, 3591, 7180, 35783, 14410, 1387, 2338, 362, 31824, 350, 2625, 7107, 34099, 198, 48047, 17630, 6975, 2746, 10991, 92918, 2030, 35783, 362, 31824, 350, 2625, 5451, 92660, 44160, 88687, 85651, 2185, 4886, 2542, 3591, 43117, 1923, 6454, 81184, 2030, 2746, 362, 31824, 350, 2625, 2429, 805, 61231, 408, 44989, 8345, 529, 624, 32, 1387, 20048, 8495, 66482, 51309, 54371, 67488, 15671, 58052, 2030, 35323, 1197, 37060, 11, 1508, 9089, 6616, 362, 31824, 350, 2625, 1079, 84758, 81616, 295, 13, 72915, 20048, 8495, 5451, 17443, 67519, 41130, 15671, 24209, 19875, 312, 2125, 268, 13, 758, 2694, 97504, 57984, 8495, 6616, 362, 31824, 350, 2625, 47143, 1079, 90935, 12353, 624, 53, 2375, 273, 28324, 609, 3089, 9151, 8495, 5451, 66482, 51309, 54371, 67488, 15671, 7180, 362, 31824, 350, 2625, 20150, 645, 1389, 198, 44, 2956, 28494, 5999, 1531, 10928, 11, 14948, 6616, 362, 31824, 350, 2625, 10712, 8793, 13906, 81, 137186, 32175, 96695, 14821, 13, 72915, 20048, 8495, 36852, 98975, 11, 1508, 8495, 1538, 41658, 467, 19840, 2986, 14668, 304, 58154, 80617, 85970, 13, 2157, 380, 724, 5999, 1531, 60637, 773, 11, 14948, 883, 6616, 362, 31824, 350, 2625, 58052, 57984, 66316, 13, 758, 36744, 14785, 35103, 8495, 5451, 66482, 51309, 54371, 67488, 15671, 58052, 4368, 141152, 95285, 69342, 624, 40, 4079, 362, 31824, 350, 2625, 37801, 273, 28324, 35103, 8495, 7219, 356, 28085, 290, 905, 16034, 52747, 60939, 198, 53, 24619, 434, 9913, 23647, 1850, 318, 5676, 3371, 52747, 60939, 7180, 362, 31824, 350, 2625, 13, 2055, 5999, 42046, 6616, 468, 94213, 28122, 55933, 13279, 62788, 34685, 17739, 19929, 2305, 1960, 4368, 90796, 7272, 2263, 1579, 850, 13, 16887, 22075, 2746, 87479, 78991, 138645, 12583, 11, 24929, 5999, 67658, 9820, 2341, 8345, 6712, 328, 56188, 6538, 4893, 59444, 13093, 60053, 2185, 624, 35, 1466, 261, 11244, 268, 16111, 43860, 11, 22075, 8495, 74539, 485, 12748, 680, 268, 37896, 85970, 11, 387, 674, 53776, 8495, 3371, 60939, 6538, 362, 31824, 350, 2625, 13785, 15462, 22539, 36964, 28831, 956, 372, 624, 18910, 268, 8495, 8793, 6395, 36077, 78445, 12222, 7219, 3371, 60939, 13, 142839, 93096, 2714, 10928, 17312, 13017, 81, 15938, 2185, 2030, 1531, 73741, 9089, 4368, 51663, 458, 51239, 978, 9151, 11, 22075, 883, 2746, 87479, 142832, 2305, 778, 343, 387, 674, 15938, 295, 13, 425, 36370, 5999, 1531, 60637, 11, 22075, 8495, 38472, 77420, 21673, 1527, 87227, 11595, 458, 6616, 362, 31824, 350, 2625, 18859, 48414, 624, 35, 2667, 4368, 11386, 1923, 12385, 10928, 6395, 75260, 63944, 60939, 50926, 8495, 8793, 12304, 258, 17312, 93403, 57926, 2185, 50232, 1440, 13, 12741, 141963, 5342, 60939, 8896, 8793, 25531, 2746, 28822, 98060, 7180, 35783, 362, 31824, 350, 2625, 13, 362, 42888, 8495, 75590, 13279, 17443, 25494, 75260, 81, 6433, 60939, 74054, 11, 1508, 38472, 22539, 66107, 42888, 90080, 52028, 268, 10928, 92670, 268, 12583, 624, 39041, 24585, 142675, 141489, 8495, 3371, 60939, 8793, 56354, 42789, 71593, 610, 139376, 6433, 13, 34903, 5699, 54708, 43860, 93328, 9820, 22539, 15398, 647, 6670, 71, 724, 41210, 13906, 13, 24209, 44977, 8495, 3371, 60423, 82, 88718, 82, 1726, 285, 19051, 416, 362, 31824, 350, 2625, 6395, 2714, 23692, 17454, 13, 51309, 273, 28324, 8495, 49536, 2746, 4968, 1064, 2694, 10991, 92918, 13, 9740, 265, 2125, 268, 8495, 24929, 3371, 7180, 8495, 52747, 57123, 54594, 624, 47957, 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 ]
[ 8495, 14047, 39416, 343, 5451, 77065, 362, 31824, 350, 2625, 1147, 1704, 4487, 268, 12583, 11, 69499, 7180, 4937, 12304, 61291, 11, 2746, 7180, 8495, 61430, 7256, 647, 6670, 71, 724, 41210, 7180, 15462, 58154, 6395, 35103, 13, 77814, 56539, 6433, 8495, 9089, 9421, 72313, 6772, 5451, 77065, 22539, 66107, 42888, 362, 31824, 350, 2625, 11, 2030, 51134, 8495, 93644, 742, 433, 408, 624, 3430, 69046, 268, 8495, 9089, 13906, 2429, 58154, 63620, 51333, 665, 11, 2746, 16111, 7180, 8495, 80940, 17029, 17630, 11, 4443, 8495, 51721, 40334, 408, 6395, 143562, 13, 16354, 275, 2714, 23692, 17454, 8495, 58052, 2030, 35323, 2746, 434, 9913, 23647, 11, 2746, 8495, 25531, 7180, 3371, 58154, 6538, 362, 31824, 350, 2625, 4368, 1371, 13536, 12032, 74453, 624, 1806, 82, 485, 72055, 1268, 11595, 7180, 362, 31824, 350, 2625, 51134, 11, 14047, 52990, 1921, 268, 6538, 220, 16, 14840, 220, 16, 15, 11, 2714, 23692, 17454, 16111, 7219, 59785, 23898, 288, 22665, 70628, 85651, 2185, 778, 31126, 624, 72287, 6616, 362, 31824, 350, 2625, 85651, 11595, 2030, 1032, 89, 2645, 268, 2030, 13368, 85, 24619, 8896, 1531, 5267, 36, 8719, 1442, 17454, 8495, 2746, 19767, 82, 88718, 20005, 61291, 81936, 529, 2185, 2030, 81314, 53776, 8495, 2746, 1863, 1704, 4487, 268, 22385, 2694, 61291, 5451, 77065, 362, 31824, 350, 2625, 624, 36, 8719, 1442, 17454, 8495, 3371, 431, 524, 939, 362, 31824, 350, 2625, 9179, 49662, 53936, 730, 37473, 2030, 81314, 53776, 8495, 1531, 732, 51309, 54371, 5451, 38684, 6252, 41137, 932, 624, 33, 17366, 53776, 16111, 7180, 362, 31824, 350, 2625, 3393, 2746, 7107, 34099, 5451, 52716, 78233, 524, 40308, 198, 1806, 82, 485, 25714, 61229, 6538, 356, 28085, 290, 905, 5999, 1531, 11, 43860, 38472, 93403, 57926, 2185, 7180, 15462, 58154, 6538, 362, 31824, 350, 2625, 35323, 2030, 71935, 6395, 12743, 59493, 624, 50855, 20048, 54831, 5451, 17443, 81287, 44367, 7107, 34099, 88766, 40193, 13, 35783, 22539, 66107, 331, 2338, 362, 31824, 350, 2625, 14821, 43860, 773, 32175, 96695, 11, 14948, 8495, 54831, 53835, 20048, 11, 12442, 8528, 69342, 1079, 52747, 68336, 2863, 723, 26109, 13, 142839, 5999, 1531, 49536, 10928, 6616, 69342, 5451, 2694, 141963, 15795, 92887, 16597, 1704, 4487, 268, 22385, 304, 2694, 51309, 59141, 22385, 13, 18372, 5679, 8495, 26769, 7416, 8229, 7180, 38472, 34734, 1952, 58154, 805, 57926, 2185, 10712, 61474, 36616, 624, 33, 17366, 53776, 16111, 2746, 78233, 524, 40308, 7180, 35783, 362, 31824, 350, 2625, 6395, 51134, 198, 91992, 30353, 8495, 15462, 81287, 7219, 44367, 78233, 524, 40308, 6395, 77065, 14410, 1387, 1960, 362, 31824, 350, 2625, 13, 38747, 35103, 8495, 7416, 40308, 13785, 38472, 60939, 388, 1732, 25151, 11, 64289, 8495, 53835, 11, 13368, 8495, 2746, 4968, 1064, 2694, 66968, 28831, 2739, 21545, 529, 17630, 2030, 8495, 53835, 54831, 7219, 15462, 81287, 11, 54505, 7180, 8495, 4368, 17859, 261, 28831, 71865, 16034, 22309, 28421, 5999, 624, 50, 965, 1960, 8495, 17790, 83126, 333, 301, 17630, 11, 1508, 8495, 35783, 65681, 288, 362, 31824, 350, 2625, 81671, 17630, 11, 24929, 1853, 33370, 44367, 7416, 40308, 13785, 2746, 7107, 34099, 5451, 78233, 524, 40308, 43860, 10712, 38596, 52764, 82017, 11, 2994, 8495, 11937, 47143, 5665, 23318, 458, 2429, 69342, 17630, 13, 13017, 81, 53776, 8495, 12304, 730, 2542, 3591, 2030, 47008, 8495, 26769, 304, 38472, 93403, 57926, 2185, 31287, 742, 38809, 13, 151643, 144202, 444, 1893, 12010, 25, 468, 287, 81, 3092, 304, 3371, 143089, 423, 81112, 760, 4111, 325, 37953, 198, 17082, 64894, 495, 11042, 25, 1260, 1070, 98359, 320, 16, 21, 13, 15, 16, 13, 17, 15, 16, 24, 8, 70984, 13906, 220, 15, 16, 25, 15, 15, 38183, 31915, 16754, 665, 4368, 9919, 4733, 304, 2694, 79735, 6222, 3923, 1960, 6222, 2172, 23455, 11, 13368, 57093, 14840, 5205, 41544, 1225, 276, 23446, 87040, 732, 74219, 17058, 14322, 590, 6712, 40462, 52434, 81616, 20005, 6250, 81112, 778, 3048, 261, 7219, 2746, 26647, 23455, 4116, 30353, 2030, 93644, 56400, 408, 1320, 2391, 13920, 33748, 13, 1230, 423, 89, 2391, 28494, 595, 24774, 3651, 551, 579, 14580, 665, 16034, 84247, 13, 51310, 48376, 10068, 275, 7714, 73507, 303, 2185, 14047, 3371, 2988, 2391, 13920, 6433, 11, 289, 15422, 72, 1531, 9089, 4443, 40462, 88765, 20005, 2030, 40462, 582, 579, 20005, 350, 70551, 1424, 17454, 22589, 11, 1501, 645, 65, 53211, 70, 2301, 13, 135972, 50095, 41210, 26109, 48803, 6250, 81112, 5342, 321, 88487, 2739, 1149, 11687, 12385, 25620, 30875, 17917, 13, 8408, 3651, 551, 72, 479, 2416, 8896, 2746, 468, 8719, 1442, 75, 11595, 16034, 33328, 13464, 48376, 10068, 41538, 2030, 45692, 2501, 9919, 768, 39867, 258, 41210, 21506, 2694, 22836, 13, 220, 15, 18, 21, 20, 608, 220, 23, 17, 24, 12, 15, 11, 1197, 709, 4370, 13, 320, 61884, 340, 38, 2416, 320, 2412, 8, 481, 758, 2694, 28831, 6538, 220, 16, 19, 13, 15, 16, 13, 481, 220, 16, 20, 13, 15, 16, 13, 17, 15, 16, 24, 1353, 59141, 41544, 1225, 276, 23446, 350, 70551, 22539, 278, 2576, 309, 304, 6616, 65503, 370, 55632, 36108, 54412, 69, 20933, 3591, 4223, 4776, 304, 2694, 96056, 12010, 34372, 6222, 2172, 23455, 4368, 11, 289, 15422, 72, 9911, 37337, 21062, 21140, 2739, 1723, 53776, 13, 28275, 96042, 6433, 9740, 2712, 406, 77, 36964, 47650, 59765, 1197, 40231, 295, 13, 8408, 468, 8719, 1442, 75, 11595, 47650, 7219, 4370, 46646, 13, 320, 61884, 8, 75074, 1626, 8535, 67382, 458, 25, 663, 5186, 5137, 3651, 551, 72, 11426, 288, 9896, 551, 72, 1330, 375, 39470, 479, 2416, 4111, 325, 267, 6712, 68987, 25, 220, 15, 18, 21, 20, 220, 23, 17, 24, 220, 16, 20, 15, 18, 608, 481, 16, 20, 15, 19, 468, 37513, 25, 1774, 3591, 2733, 12, 1389, 64, 79332, 343, 31, 9896, 551, 72, 13677, 84, 4671, 268, 2285, 12236, 43, 1893, 12010, 25, 23334, 6969, 5186, 89, 2338, 14322, 590, 613, 724, 3048, 198, 38, 2416, 320, 2412, 8, 481, 18069, 1007, 724, 4865, 6772, 21982, 22087, 4443, 6969, 78, 7997, 21649, 26647, 7997, 724, 3048, 41852, 30875, 92172, 12743, 932, 320, 16, 20, 13, 15, 16, 13, 17, 15, 16, 24, 11, 34699, 220, 16, 22, 25, 16, 15, 38183, 8, 15462, 732, 42256, 268, 28129, 668, 6969, 613, 1960, 393, 28600, 55746, 13, 19000, 6250, 81112 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 778, 3048, 9136, 301, 12412, 62401, 7219, 2746, 1260, 14553, 1528, 23549, 2030, 76178, 267, 9416, 665, 26769, 342, 15141, 89, 6772, 13, 87040, 47650, 8793, 2739, 1149, 11687, 13, 320, 61884, 8, 75074, 1626, 8535, 67382, 458, 25, 663, 5186, 5137, 3651, 551, 72, 11426, 288, 9896, 551, 72, 1330, 375, 39470, 479, 2416, 4111, 325, 267, 6712, 68987, 25, 220, 15, 18, 21, 20, 220, 23, 17, 24, 220, 16, 20, 15, 18, 608, 481, 16, 20, 15, 19, 468, 37513, 25, 12236, 43, 1893, 12010, 25, 43708, 77, 10938, 1674, 6242, 273, 1776, 3586, 198, 38, 2416, 320, 2412, 8, 481, 1863, 27105, 293, 1440, 77, 10938, 1674, 6242, 273, 1776, 3586, 3303, 28462, 9160, 52370, 435, 4738, 268, 48614, 386, 39563, 320, 16, 21, 13, 15, 16, 13, 17, 15, 16, 24, 701, 70984, 14047, 220, 15, 22, 25, 15, 15, 38183, 3841, 8801, 896, 4079, 2030, 3651, 551, 72, 7219, 3371, 9680, 13, 20004, 14840, 5205, 41544, 1225, 276, 42469, 2825, 34271, 268, 52258, 23446, 2694, 758, 39416, 2694, 9678, 2030, 64015, 19767, 2746, 3841, 8801, 896, 4079, 17837, 32454, 13920, 12643, 13, 8408, 468, 8719, 1442, 75, 11595, 16034, 16430, 4188, 1528, 12032, 47650, 7219, 4370, 46646, 13, 87040, 11, 58319, 49633, 41210, 12412, 25655, 56500, 20048, 11, 12643, 29167, 33748, 11, 9089, 21506, 2694, 22836, 13, 220, 15, 18, 21, 20, 608, 220, 23, 17, 24, 12, 15, 11, 458, 2503, 151643, 53, 269, 220, 17, 69713, 27726, 10638, 7219, 17443, 752, 71, 3342, 2305, 70, 343, 336, 82182, 15462, 25851, 268, 29860, 74261, 826, 7865, 406, 13, 34903, 17630, 6975, 7219, 1527, 71, 645, 65, 2256, 2739, 84884, 2030, 732, 1527, 21062, 75, 1854, 65608, 1147, 361, 258, 8199, 7219, 4370, 46646, 2030, 97144, 5665, 23318, 458, 71620, 8199, 49933, 1241, 295, 13, 758, 30781, 17739, 5699, 60322, 12385, 42150, 16030, 16111, 140729, 2030, 10928, 4368, 12475, 25651, 5999, 3893, 20827, 13, 2009, 68627, 73600, 12495, 6975, 220, 19, 20, 15, 13136, 2030, 10638, 1422, 424, 23273, 11, 1508, 6616, 139906, 68312, 16030, 67594, 11, 13279, 773, 17058, 4863, 802, 46621, 67058, 304, 2694, 1527, 42477, 82, 29413, 30, 142839, 35141, 883, 57465, 550, 78, 34368, 54459, 668, 86, 23118, 11, 13368, 9089, 6616, 93898, 30632, 80129, 3818, 1112, 151643, 92799, 68398, 2860, 11846, 608, 220, 15, 24, 13, 15, 19, 13, 17, 15, 17, 16, 608, 69219, 15215, 198, 96664, 2010, 3416, 2694, 2823, 709, 4905, 2185, 47226, 44979, 2030, 29505, 14134, 1719, 23155, 28242, 928, 48672, 367, 320, 54118, 27557, 701, 608, 16, 18, 11, 2825, 58498, 356, 1079, 60404, 46680, 11, 73208, 9592, 44979, 13, 44979, 13, 23155, 14523, 21766, 2429, 393, 11855, 798, 66198, 285, 34699, 29505, 14134, 68573, 44979, 9421, 4188, 31722, 268, 11, 10928, 14047, 362, 2024, 50528, 2694, 14089, 96049, 31380, 29413, 822, 71, 2746, 23155, 11171, 3101, 60730, 624, 1514, 258, 58009, 69, 3959, 70984, 13906, 49279, 1854, 95035, 6616, 19349, 20048, 13, 16887, 16111, 75130, 10928, 11, 14948, 16111, 732, 48158, 31380, 68021, 1845, 8577, 17859, 14410, 2493, 3818, 17630, 624, 2183, 6712, 25, 26587, 13, 1863, 10110, 4979, 4368, 794, 5186, 1174, 11, 2694, 9089, 10928, 595, 75024, 6772, 34699, 2746, 29505, 14134, 19767, 746, 5679, 15719, 13, 89302, 67817, 436, 5436, 1387, 665, 6395, 5699, 37633, 268, 13, 2806, 268, 220, 17, 624, 45696, 46745, 32997, 12, 52491, 1902, 4865, 54068, 16023, 74191, 25994, 11, 40870, 16111, 5419, 2746, 1850, 76, 61897, 20005, 7355, 59522, 261, 69, 65224, 66238, 20048, 13, 62467, 1531, 19104, 8793, 624, 78734, 479, 83, 2986, 32618, 490, 783, 11, 16013, 55591, 11, 668, 8408, 35515, 291, 10559, 5055, 17562, 82, 20542, 40821, 72410, 9919, 713, 12495, 17837, 7964, 12359, 74, 2412, 5451, 2694, 35515, 291, 17739, 19846, 9127, 261, 7219, 2694, 3240, 590, 11, 9740, 10561, 81, 2185, 17312, 6250, 2660, 307, 2185, 6538, 42786, 10661, 301, 458, 11, 420, 9300, 2694, 8444, 426, 261, 34031, 624, 7462, 17088, 37951, 19461, 60901, 11610, 93574, 45983, 10207, 19461, 60901, 13411, 33020, 1032, 13920, 20005, 49633, 41210, 44134, 3408, 92048, 2308, 48471, 91741, 32997, 36702, 3732, 645, 1032, 13920, 20005, 49633, 41210, 24356, 10911, 4865, 3732, 645, 8085, 16034, 19461, 60901, 9299, 395, 63472, 301, 2024, 45258, 472, 8313, 2030, 63472, 301, 2024, 45258, 794, 332, 5679, 468, 6308, 76213, 2739, 26397, 1960, 86173, 930, 83769, 5566, 304, 1501, 2863, 78152, 665, 624, 30124, 86, 14134, 42100, 17029, 304, 467, 36956, 2185, 758, 60650, 66968, 45506, 467, 76, 29505, 14134, 44979, 294, 27097, 81760, 304, 20603, 482, 794, 8666, 328, 8904, 6909, 2694, 25006, 376, 524, 64646, 624, 55193, 25, 8408, 29505, 291, 34711, 12583, 2429, 19846, 43303, 1531, 57093, 5016, 64513, 13, 3303, 28275, 23692, 351, 738, 89282, 9089, 67015, 373, 1571, 451, 22181, 1933, 68, 5451, 34699, 1084, 55318, 19767, 2030, 54383, 40870, 2714, 24855, 1127, 21506, 3371, 57093, 52747, 39613, 2694, 44966, 624, 13314, 11, 53423, 11, 582, 990, 41519, 304, 1039, 65929, 448, 1039, 75443, 8549, 323, 438, 949, 13, 2362, 1174, 41557, 25, 33328, 17443, 37419, 304, 294, 12153, 12475, 2945, 308, 1923, 10712, 44979, 2429, 20004, 3408, 713, 624, 45, 3065, 268, 3371, 44856, 1960, 2030, 5649, 12070, 45061, 25061, 2694, 38684, 47404, 732, 14261, 883, 9089, 1422, 4368, 81020, 13, 77211, 44979, 30632, 41557, 28883, 98863, 306, 269, 90556, 2030, 1640, 19851, 65, 5472, 1574, 4368, 13536, 12032, 624, 1427, 98863, 16597, 768, 738, 11687, 5235, 15795, 9156, 52716, 5016, 1854, 6395, 60021, 458, 481, 1353, 48985, 13, 44979, 508, 52, 17, 15, 47610, 936, 29505, 14134, 25, 27219, 16722, 481, 37832, 11, 61916, 358, 273, 23892, 83, 11, 7577, 94540, 11, 9236, 5999, 35323, 1501, 2956, 67, 11, 14948, 1531, 24929, 68876, 467, 76, 29505, 14134, 44979, 1494, 17029, 11, 13368, 16111, 1531, 11937, 28086, 2714, 35608, 295, 83572, 624, 18175, 4818, 50601, 30648, 34711, 305, 287, 19981, 43303, 35770, 25494, 1007, 724, 344, 7219, 455, 85885, 11, 50435, 304, 328, 14033, 5679, 9421, 3556, 129579, 1960, 650, 2721, 287, 1960, 8495, 4188, 14387, 268, 1411, 53776, 9911, 458, 36744, 79509, 370, 408, 70336, 7219, 3371, 72055, 624, 32617, 7909, 6538, 647, 3662, 12, 6639, 377, 2892, 10269, 9979, 89282, 97713, 40866, 1298, 730 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2305, 267, 7522, 91265, 732, 25714, 4645, 355, 44236, 2694, 29505, 291, 34711, 2030, 7845, 665, 6616, 31380, 58052, 624, 40, 4079, 67489, 277, 26109, 668, 45061, 70980, 13, 8408, 61217, 62702, 78743, 681, 939, 19751, 2010, 4678, 11610, 2746, 29505, 291, 34711, 624, 55193, 25, 2014, 10692, 7180, 29505, 14134, 0, 42079, 2876, 9510, 33082, 51528, 96042, 25494, 69987, 11, 2694, 19751, 23162, 11007, 258, 70251, 396, 2694, 431, 22576, 37727, 6395, 1152, 70667, 13, 55167, 25, 8408, 422, 16208, 7276, 956, 10316, 17630, 12412, 83630, 6772, 18520, 31380, 4942, 457, 2030, 97696, 72734, 485, 16358, 89, 6817, 11, 85725, 64857, 2746, 29505, 291, 34711, 13279, 12836, 9433, 11042, 44979, 25494, 259, 4738, 481, 289, 4288, 278, 65, 2746, 1527, 80885, 20155, 268, 40897, 4443, 3371, 220, 16, 21, 261, 7180, 2746, 1581, 60135, 99025, 92670, 268, 12583, 624, 55193, 25, 431, 8095, 2956, 74247, 426, 304, 3371, 220, 16, 21, 261, 11, 14821, 24929, 19104, 6538, 472, 1878, 287, 12743, 453, 417, 13, 2869, 676, 471, 2816, 2085, 9089, 12222, 70984, 8099, 506, 4079, 2030, 77509, 458, 25, 1674, 642, 304, 4929, 93803, 31316, 12960, 11, 8444, 1147, 83049, 624, 22171, 2926, 1942, 7219, 2746, 29505, 291, 34711, 45692, 2501, 6395, 13, 9236, 8896, 48614, 35323, 220, 16, 17, 18, 19751, 8398, 66287, 4865, 624, 36, 37513, 41519, 40013, 5948, 81804, 16030, 13, 3303, 8224, 46680, 19104, 64015, 10928, 9911, 14047, 54649, 18069, 896, 331, 3226, 2185, 17312, 54936, 14668, 19851, 65, 29413, 79913, 18069, 1489, 1854, 7219, 6616, 78796, 285, 80617, 624, 1912, 23747, 1933, 8896, 40870, 28831, 11, 9089, 7180, 2746, 49279, 355, 704, 542, 4025, 6395, 274, 8666, 17454, 13, 84276, 1487, 4370, 8495, 9089, 13906, 2429, 67489, 16030, 4368, 8779, 8779, 13, 35783, 1320, 11007, 5016, 1854, 5999, 37568, 22338, 4050, 6395, 650, 42339, 8345, 529, 624, 18175, 3184, 73508, 258, 42668, 9089, 732, 48158, 2825, 31832, 724, 44236, 3371, 1863, 2636, 29167, 299, 7522, 13, 8408, 4818, 50601, 30648, 34711, 305, 287, 19981, 43303, 35770, 25494, 1007, 724, 344, 7219, 455, 85885, 11, 50435, 304, 328, 14033, 5679, 9421, 3556, 129579, 1960, 650, 2721, 287, 1960, 8495, 4188, 14387, 268, 1411, 53776, 9911, 458, 467, 76, 29505, 14134, 44979, 79509, 370, 408, 70336, 7219, 3371, 72055, 624, 32, 652, 7180, 15462, 81574, 53936, 98060, 63940, 2746, 18713, 5524, 665, 139554, 13, 16887, 24929, 12583, 2746, 29505, 291, 34711, 5451, 54649, 27941, 13256, 384, 3187, 3145, 624, 39, 940, 5699, 2892, 11687, 9820, 2988, 88729, 7219, 3371, 3984, 21112, 1404, 71865, 11, 23738, 5016, 2391, 54956, 6623, 36702, 343, 54383, 7297, 84531, 6616, 444, 7294, 34699, 2746, 84991, 1626, 4865, 2185, 6538, 27219, 16722, 44989, 8345, 529, 55167, 25, 467, 22181, 4368, 326, 4003, 3360, 321, 6385, 2694, 29505, 291, 34711, 11, 26252, 1187, 84, 529, 55857, 15113, 624, 19462, 811, 332, 93077, 2501, 34834, 674, 29931, 15462, 3360, 321, 6385, 2030, 74247, 426, 668, 481, 5016, 494, 15719, 24443, 61979, 3371, 20678, 3138, 4050, 17312, 468, 60273, 668, 896, 71, 1440, 624, 32617, 1494, 17029, 304, 2694, 362, 39470, 13, 55167, 66093, 6616, 773, 13, 386, 57588, 8495, 9089, 458, 58954, 73255, 13364, 332, 16030, 8495, 5451, 1527, 36601, 268, 393, 1859, 321, 14047, 312, 54327, 624, 4416, 55449, 4865, 44979, 6616, 362, 13920, 490, 258, 1574, 13, 28275, 47438, 1047, 451, 519, 98888, 2014, 344, 41928, 24929, 55248, 17790, 54459, 481, 8725, 14649, 6616, 68517, 8444, 1230, 2721, 74919, 537, 40231, 7256, 25994, 74453, 55928, 29413, 49183, 17029, 19349, 11, 40870, 16111, 72701, 468, 6308, 76213, 7180, 2746, 24356, 13431, 6308, 76213, 2341, 88581, 20048, 624, 70194, 6928, 2923, 13093, 60053, 2185, 141176, 31932, 331, 5999, 11, 18060, 1531, 8652, 512, 307, 11, 19104, 10638, 42668, 6616, 141176, 38805, 72734, 304, 3371, 66968, 57093, 11, 136740, 350, 8535, 624, 50744, 4284, 730, 12543, 713, 25, 330, 48047, 30636, 90930, 16030, 23898, 38805, 288, 11426, 13, 7543, 74, 352, 479, 34271, 29536, 33661, 304, 2746, 3660, 645, 13, 8444, 71, 2391, 465, 89983, 6252, 2712, 81, 587, 4116, 11, 50697, 704, 13368, 6616, 5016, 1122, 82, 36702, 2375, 288, 848, 77, 11, 5699, 44704, 48323, 273, 307, 295, 624, 50855, 1148, 12495, 1422, 12222, 220, 17, 20, 5719, 1527, 87227, 11595, 25494, 7219, 1174, 91647, 75182, 2030, 13, 18069, 28198, 6538, 220, 16, 15, 15, 14821, 10712, 19612, 9225, 16030, 2030, 43860, 2746, 38934, 42705, 83, 1127, 28086, 47553, 6395, 409, 68413, 47669, 17862, 11, 51290, 2746, 93403, 57926, 2185, 939, 46307, 423, 86, 3145, 28122, 1389, 4865, 82, 624, 42, 10827, 74, 23118, 17630, 9820, 25494, 31287, 1777, 8536, 10573, 2185, 58237, 11, 3201, 78, 41130, 7073, 55449, 4865, 2694, 393, 1716, 13, 5004, 372, 5999, 79504, 7219, 18084, 14410, 61007, 17790, 76, 1127, 9820, 53555, 5016, 54913, 8400, 709, 5451, 3371, 624, 4416, 5999, 883, 7219, 53165, 14785, 2030, 1525, 83, 21673, 21631, 23745, 596, 49793, 87488, 408, 14410, 13920, 11687, 2030, 13, 8031, 288, 393, 10394, 89, 7052, 288, 5397, 3845, 18520, 15269, 652, 95402, 296, 331, 1944, 11, 24929, 5699, 64, 361, 82816, 304, 88787, 40577, 95905, 624, 18175, 467, 7066, 276, 87227, 11595, 1422, 6616, 16194, 72410, 52747, 8105, 76904, 52549, 65681, 34814, 13, 35331, 15843, 9935, 7219, 76, 45699, 45287, 10948, 95788, 75822, 2030, 7060, 83904, 92887, 408, 3591, 267, 2047, 268, 11, 2746, 71935, 13, 151643, 450, 6862, 28877, 1740, 12169, 1740, 49259, 7330, 393, 1094, 2410, 71, 54840, 290, 39455, 645, 198, 17117, 31151, 268, 7219, 137943, 12743, 613, 665, 70777, 40897, 4443, 2170, 295, 28877, 1740, 36519, 12169, 1740, 36519, 21804, 36519, 49259, 36519, 49866, 36519, 393, 1094, 36519, 2030, 7330, 23620, 652, 1489, 31573, 46745, 32997, 8400, 645, 510, 14873, 268, 80167, 6072, 13, 2170, 295, 624, 37, 57596, 25, 2170, 295, 4894, 17360, 27298, 88028, 79913, 18069, 52015, 7180, 6616, 93504, 2170, 295, 4894, 53, 654, 13, 47650, 47226, 97973, 2746, 18069, 376, 70668, 11, 2746, 6616, 93504, 2170, 295, 1197, 35505, 11, 82195, 406, 624, 46, 1107, 6616, 93504, 2170, 295, 8896, 8793, 2746, 31954, 265, 40951, 5016, 38013, 41210, 624, 450, 6862, 481, 6569, 258, 18069, 52015, 4894, 18175, 66968, 15132, 65, 14412, 43414, 11, 2746, 44160, 16023, 1147, 4733, 539, 4711, 47650, 25 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 259, 5186, 8400, 3591, 289, 6309, 28877, 1740, 39455, 645, 1353, 1942, 13906, 1371, 10661, 3818, 18689, 331, 32997, 8400, 645, 296, 6642, 24, 17, 15, 15, 78475, 70, 2010, 331, 32997, 8400, 645, 17907, 375, 4201, 2986, 15862, 130337, 993, 16668, 908, 8400, 645, 22962, 1664, 1079, 18045, 822, 220, 18, 21, 20, 15, 5699, 32997, 8400, 645, 6753, 18131, 50781, 5679, 89, 9443, 645, 3233, 4647, 436, 331, 32997, 10246, 802, 517, 1051, 17907, 9443, 645, 81070, 307, 1915, 58267, 5451, 5699, 32997, 8400, 645, 16034, 44096, 355, 268, 64857, 74849, 8400, 645, 9518, 220, 16, 15, 15, 521, 36750, 6241, 9443, 36616, 281, 7362, 259, 16053, 33425, 268, 8400, 3591, 2825, 32454, 325, 36108, 24446, 7429, 6853, 74, 370, 482, 59850, 3680, 13464, 1371, 332, 301, 328, 2305, 552, 15862, 130337, 3078, 562, 78836, 9443, 3591, 34542, 23089, 65, 408, 2778, 72, 9443, 645, 24691, 983, 23330, 267, 79956, 8400, 3591, 11823, 289, 395, 14348, 1121, 6902, 2574, 139376, 50499, 444, 7821, 331, 32997, 8400, 645, 26439, 5699, 44704, 21804, 49259, 54148, 281, 7362, 39455, 645, 17821, 220, 17, 76, 5282, 275, 17907, 375, 9443, 645, 57330, 704, 25651, 5016, 32997, 8400, 645, 350, 2391, 265, 6308, 645, 709, 14010, 3128, 94514, 259, 5186, 8400, 645, 993, 71, 54840, 290, 28877, 1740, 28416, 2024, 1587, 39455, 3591, 74463, 62365, 5016, 32997, 370, 33425, 2185, 3078, 535, 3662, 267, 844, 59250, 27064, 13795, 567, 57072, 266, 1723, 331, 32997, 8400, 3591, 220, 17, 20, 3821, 993, 71, 54840, 908, 8400, 645, 24285, 57647, 61017, 5699, 610, 425, 30215, 21062, 14404, 331, 32997, 151643, 18, 35, 12, 8847, 24370, 2112, 72442, 55397, 432, 55318, 32708, 69820, 9299, 16389, 268, 11, 2994, 304, 91970, 39867, 2305, 872, 77, 31357, 26796, 76, 28122, 1389, 2305, 665, 18520, 92670, 268, 12583, 0, 38747, 5999, 13368, 760, 11753, 28063, 76, 988, 198, 18, 35, 12, 8847, 24370, 2112, 72442, 55397, 432, 55318, 32708, 69820, 9299, 16389, 268, 11, 2994, 304, 91970, 39867, 2305, 872, 77, 31357, 26796, 76, 28122, 1389, 2305, 665, 18520, 92670, 268, 12583, 0, 38747, 5999, 13368, 198, 641, 502, 2391, 968, 3667, 28831, 26109, 4368, 220, 18, 35, 12, 8847, 24370, 384, 40399, 61007, 11, 4443, 1147, 2636, 77, 88687, 1084, 7956, 798, 77, 6616, 55397, 6395, 2112, 1960, 28924, 268, 5451, 69820, 320, 34, 25582, 12, 16, 24, 8, 19767, 2746, 6252, 54377, 36108, 4368, 35363, 471, 6433, 468, 5428, 20175, 684, 8669, 7180, 707, 66362, 26796, 76, 28122, 1389, 2305, 665, 54831, 14047, 2429, 51292, 2694, 24209, 1775, 2185, 732, 91970, 268, 31551, 0, 8408, 14921, 17149, 908, 7698, 304, 1084, 55318, 8896, 2148, 98103, 11, 17790, 139554, 6395, 12643, 11, 2030, 5451, 50435, 37610, 268, 20048, 467, 79748, 1536, 2030, 1774, 76971, 86957, 19207, 70336, 7219, 6616, 63992, 312, 351, 16030, 11, 13368, 2746, 22318, 29937, 467, 10938, 77509, 624, 81761, 59785, 939, 502, 2391, 968, 15795, 2030, 58052, 289, 610, 6681, 268, 20004, 1323, 53152, 2694, 36974, 12, 16, 24, 11, 2694, 773, 625, 2956, 37592, 6772, 2030, 773, 13329, 344, 7219, 376, 266, 11, 43303, 2746, 84701, 91970, 39867, 2305, 872, 13368, 6616, 33282, 5059, 15843, 13129, 268, 31551, 8793, 304, 2694, 95506, 11, 2746, 537, 40231, 6433, 1774, 76971, 17739, 19929, 2305, 665, 13368, 26407, 457, 7180, 34749, 26796, 76, 28122, 1389, 2305, 665, 6395, 21454, 932, 11, 572, 4368, 36852, 57926, 1659, 47355, 13305, 416, 11002, 21062, 1003, 2576, 732, 70944, 69, 4116, 6616, 63573, 67, 20005, 63992, 624, 23711, 268, 8495, 10928, 25, 508, 9239, 60, 12741, 69820, 21477, 1307, 49494, 1847, 1944, 3161, 406, 0, 64894, 19294, 16111, 47553, 5451, 53936, 6250, 132149, 2185, 312, 2125, 268, 5267, 32617, 33282, 5059, 15843, 13129, 268, 31551, 28710, 665, 9089, 458, 9820, 94718, 665, 63678, 67051, 78663, 6591, 11, 2746, 10712, 82557, 355, 95905, 258, 2694, 40283, 35649, 28831, 2185, 15392, 1512, 1574, 1853, 425, 97512, 81331, 4116, 11, 4443, 2746, 92660, 36108, 12809, 53113, 2030, 220, 18, 35, 12, 8847, 1942, 4580, 50958, 16449, 724, 9167, 11366, 19944, 460, 39976, 6395, 66124, 13, 38747, 2148, 1020, 35951, 2030, 1531, 1197, 2685, 58052, 9820, 38383, 37610, 624, 17360, 26109, 31357, 28831, 47708, 40231, 295, 11, 2994, 6616, 73212, 58052, 14047, 17443, 40283, 35649, 18078, 20480, 36108, 220, 18, 35, 12, 8847, 1942, 388, 1741, 665, 11, 2694, 1640, 91970, 268, 31551, 3893, 85426, 12643, 64015, 11, 4443, 2746, 1353, 287, 408, 91304, 343, 1960, 468, 5428, 20175, 684, 457, 7180, 12304, 26796, 76, 28122, 1389, 2305, 665, 1059, 89, 590, 15671, 13, 23980, 4116, 9179, 49662, 83801, 80544, 2714, 832, 17917, 2030, 16034, 135972, 64015, 6616, 73212, 77016, 268, 5451, 17443, 220, 18, 35, 12, 8847, 24370, 35103, 4894, 53750, 22539, 73233, 8876, 2869, 580, 81543, 11, 2694, 57465, 39337, 4368, 40283, 13111, 35346, 56539, 15940, 10573, 261, 10712, 10928, 4368, 94468, 60905, 5999, 11, 33661, 6395, 31008, 4229, 48414, 22385, 2030, 1411, 84642, 59228, 72705, 2926, 24370, 9179, 49662, 83801, 80544, 14840, 1640, 33282, 5059, 15843, 13129, 268, 31551, 0, 8408, 4182, 768, 477, 61806, 2030, 2694, 2926, 1942, 2694, 468, 5428, 20175, 665, 457, 7180, 2746, 1333, 724, 344, 15897, 1937, 34162, 331, 16676, 53211, 55067, 25494, 58052, 2030, 5451, 66723, 336, 41663, 74063, 624, 50, 674, 4747, 2746, 220, 18, 35, 2371, 291, 81, 1942, 1960, 468, 5428, 20175, 684, 457, 9421, 455, 11855, 13920, 47650, 11, 43303, 2746, 28924, 268, 835, 6772, 70336, 5436, 82751, 13, 8408, 26796, 76, 28122, 1389, 2305, 665, 47650, 74191, 11, 4443, 28924, 268, 5451, 2429, 537, 40231, 6433, 328, 27097, 79956, 6395, 5436, 39563, 11, 22075, 9911, 8793, 304, 2694, 95506, 12583, 11, 34542, 47635, 343, 6395, 68312, 16030, 2030, 6395, 518, 5676, 13, 23980, 5999, 4622, 261, 41210, 13279, 18520, 17392, 69820, 7276, 32251, 268, 2694, 14785, 624, 47789, 5999, 4368, 37210, 68, 285, 67952, 11, 14948, 1084, 55318, 90039, 2694, 82745, 2694, 14921, 449, 77399, 13279, 220, 17, 19, 13, 22, 19, 22, 2030, 2694, 82745, 2694, 350, 2539, 142845, 13279, 220, 16, 13, 23, 15, 24, 9820, 6774, 440, 38934, 8896, 11, 34699, 6616, 69820, 6395, 59095, 1307, 30353, 13, 34181, 8051, 7019, 461, 11, 467, 61811, 82, 27918, 60905, 2694, 142485, 4270 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1728, 11, 85389, 25, 330, 65835, 8495, 304, 29181, 2174, 3591, 75130, 11, 5999, 2694, 19966, 12, 16, 24, 12, 2623, 13464, 25494, 91929, 267, 10040, 1514, 275, 27431, 6616, 63992, 1084, 55318, 566, 1892, 288, 32030, 8896, 11, 5999, 2746, 82745, 2694, 14921, 449, 77399, 6538, 12353, 6395, 12353, 12743, 645, 4370, 11, 2030, 90039, 2694, 3089, 615, 2185, 4087, 17917, 2746, 18747, 783, 7714, 82745, 2694, 14921, 449, 77399, 25531, 17790, 13329, 344, 458, 13, 21766, 92660, 9529, 266, 1524, 7001, 1609, 3591, 13368, 2429, 220, 18, 35, 12, 8847, 1942, 6538, 26407, 22837, 7180, 444, 2391, 723, 2185, 3563, 300, 331, 16676, 27298, 1531, 17790, 42722, 46621, 7180, 2746, 9167, 268, 13, 151643, 55063, 49882, 1174, 304, 1634, 331, 2649, 54385, 2073, 5999, 4368, 77775, 1330, 20542, 82, 30386, 17149, 2030, 9820, 422, 610, 5612, 440, 2694, 54092, 1634, 331, 2649, 54385, 2030, 939, 142407, 19289, 1330, 54092, 91818, 1634, 331, 2649, 54385, 384, 5058, 624, 18175, 54092, 1634, 331, 2649, 54385, 5999, 9820, 730, 9416, 31290, 20542, 939, 34037, 542, 306, 21673, 1032, 54327, 13, 8495, 14821, 5198, 85885, 19767, 3371, 51145, 65, 94858, 2660, 1571, 81097, 52639, 538, 624, 17360, 26109, 12304, 328, 1775, 69, 3145, 7219, 37285, 54081, 11, 2746, 431, 34966, 26612, 2030, 96382, 47635, 50499, 2694, 7416, 40308, 304, 3371, 73910, 665, 22837, 54548, 89, 590, 15671, 13, 3665, 29937, 91265, 12583, 3371, 76018, 8793, 9421, 89, 51078, 11567, 26824, 13, 8408, 54092, 1634, 331, 2649, 54385, 15719, 60637, 7180, 5016, 2305, 5183, 8793, 6386, 723, 2257, 69876, 12643, 11, 2746, 304, 76604, 20658, 5451, 2694, 6250, 66671, 31008, 91912, 665, 64857, 624, 48047, 1274, 41928, 9421, 3612, 19358, 6772, 11, 14948, 16111, 11, 44367, 96428, 66809, 13, 32936, 458, 1757, 1174, 3419, 32434, 331, 2649, 54385, 2285, 1274, 58791, 92172, 87040, 1962, 10453, 62785, 18069, 1489, 1854, 7219, 2746, 53899, 61806, 2030, 2746, 91912, 665, 2739, 2080, 465, 82276, 17630, 13, 3874, 49662, 1582, 12070, 16030, 16111, 6975, 12412, 1763, 9421, 3612, 19358, 6772, 6538, 50041, 758, 35505, 47808, 2739, 2080, 1960, 82276, 7219, 438, 331, 71378, 62452, 12646, 494, 5639, 424, 2285, 2030, 37896, 6975, 34749, 91912, 665, 8793, 6395, 28724, 13, 54068, 9740, 77131, 2185, 69499, 7180, 12304, 7219, 1757, 1174, 3419, 32434, 331, 2649, 54385, 2285, 32175, 1323, 53776, 25422, 624, 18175, 304, 1757, 1174, 3419, 32434, 331, 2649, 54385, 2285, 31100, 408, 33748, 38058, 631, 349, 3591, 2030, 2918, 68, 39307, 6616, 13821, 2030, 6982, 939, 60404, 267, 288, 12583, 4335, 383, 652, 47631, 6772, 25620, 28658, 11687, 2030, 141489, 28883, 13906, 1923, 7256, 93716, 12543, 2185, 2694, 54092, 387, 13536, 71, 28122, 41210, 2694, 1032, 331, 38240, 10573, 261, 8793, 6395, 38684, 10712, 15244, 6095, 13518, 83126, 40188, 74191, 12643, 13, 9726, 9433, 70439, 5999, 9820, 63318, 306, 20005, 467, 1122, 2375, 8229, 12385, 6250, 57396, 2185, 650, 89, 360, 2305, 778, 343, 13, 151643, 86528, 87554, 19529, 12583, 320, 64, 1387, 12222, 8, 42786, 760, 386, 23114, 953, 54, 7612, 1799, 198, 65835, 9089, 87727, 70449, 804, 13297, 73580, 9416, 2030, 18069, 1489, 1854, 9089, 932, 198, 54370, 136740, 14686, 268, 37896, 9089, 87727, 70449, 804, 13297, 7180, 6616, 9551, 650, 306, 1371, 4079, 6772, 13, 8408, 14686, 268, 312, 28324, 21982, 794, 12543, 28122, 2257, 20408, 14840, 16034, 14390, 14295, 95905, 7180, 37610, 2030, 88080, 13, 151643, 76335, 23455, 29974, 39393, 546, 1064, 6538, 22087, 6161, 1225, 14840, 43747, 37, 5583, 1365, 220, 17, 16, 71177, 1365, 663, 26833, 693, 23129, 198, 76335, 23455, 29974, 39393, 546, 1064, 6538, 22087, 6161, 1225, 14840, 43747, 37, 5583, 481, 220, 17, 16, 71177, 198, 96306, 25, 22087, 6161, 1225, 11, 16608, 10948, 40460, 11, 328, 3662, 355, 85, 62785, 9420, 2391, 12495, 11, 18888, 436, 4223, 5055, 28736, 11, 8012, 81, 32820, 11, 910, 15422, 11, 22417, 29643, 198, 80515, 91452, 69, 15113, 261, 431, 1241, 265, 1064, 50232, 3342, 8495, 54459, 19767, 6616, 93898, 11426, 29974, 66237, 13, 42079, 22087, 6161, 1225, 9421, 13785, 2746, 26832, 1466, 2780, 16034, 16608, 10948, 40460, 732, 77549, 5183, 11, 13785, 2746, 328, 3662, 355, 85, 62785, 131634, 12495, 14047, 4492, 585, 453, 35314, 458, 2746, 69252, 5342, 11, 13785, 6616, 422, 15554, 15337, 16034, 18888, 436, 4223, 5055, 28736, 2030, 5699, 83090, 17790, 304, 3371, 8012, 81, 32820, 11171, 573, 58267, 13, 9774, 22080, 93383, 31008, 1032, 1064, 293, 51865, 2746, 73689, 4223, 25061, 22417, 73794, 142845, 13, 8408, 15098, 16754, 16074, 63319, 12583, 293, 3850, 18747, 285, 13920, 11, 6538, 38805, 35323, 14840, 10890, 3969, 780, 13, 9740, 273, 7964, 8495, 6616, 11426, 29974, 66237, 11, 3371, 910, 15422, 5055, 28736, 2030, 2746, 22417, 143053, 304, 12222, 220, 17, 16, 350, 8535, 624, 11135, 77, 2694, 91452, 69, 15113, 66000, 1064, 29974, 66237, 1079, 2988, 7443, 67558, 304, 22087, 6161, 1225, 320, 3882, 2391, 709, 2030, 386, 3891, 86, 8535, 66238, 16111, 54064, 1494, 408, 458, 568, 38472, 61217, 98359, 2739, 1323, 27918, 8495, 54831, 304, 22087, 6161, 1225, 13, 2055, 20048, 8495, 9089, 15462, 48158, 468, 80587, 1942, 47708, 71378, 2030, 9089, 10928, 5451, 39771, 6250, 15897, 1937, 2185, 7180, 21506, 28129, 82, 4368, 33425, 268, 13, 49371, 77, 15938, 2185, 732, 80210, 26215, 7675, 5451, 2869, 21558, 135522, 198, 17, 13, 12353, 25, 22087, 6161, 1225, 1365, 26832, 1466, 2780, 320, 924, 13, 220, 17, 19, 20, 16017, 340, 75919, 2429, 2869, 21558, 135522, 39264, 1531, 48614, 304, 57123, 2185, 77549, 5183, 11, 305, 482, 258, 304, 2746, 26832, 1466, 2780, 19851, 39824, 2391, 5342, 13, 467, 355, 15795, 8495, 11, 14948, 9089, 26769, 13785, 220, 24, 140275, 65078, 20512, 41538, 8896, 30, 8495, 5999, 732, 51309, 54371, 17312, 29974, 579, 39771, 23103, 56539, 7272, 26956, 70487, 2030, 14821, 21982, 547, 10553, 22604, 2694, 5836, 26956, 2267, 406, 13, 49371, 77, 15938, 2185, 304, 2694, 1333, 84, 12907, 40454, 68154, 339, 1512, 43568, 5451, 19851, 17808, 2645, 198, 18, 1725, 19, 13, 12353, 25, 26832, 1466, 2780, 1365, 16608, 10948, 40460, 320, 924, 13, 220, 19, 18, 15, 16017, 340, 52491, 652, 6569, 295, 69891, 6161, 453, 11, 23738, 8495, 304, 2694, 137900, 3371, 64894, 9034, 58511, 52906, 9057, 44977, 20048, 11, 282, 21176, 8495, 48614, 6395, 77065, 59739 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 67, 6772, 15795, 794, 4775, 304, 29974, 66237, 25, 2429, 732, 966, 54834, 16608, 10948, 40460, 11, 294, 54913, 901, 2956, 7997, 1960, 40460, 2694, 44966, 13, 8408, 49279, 32030, 5999, 14840, 6395, 220, 20, 20, 15, 52539, 259, 4738, 2030, 71765, 14840, 6395, 220, 17, 22, 37888, 20408, 5282, 275, 13, 18372, 5679, 8495, 2746, 93688, 19875, 40462, 71177, 7180, 38257, 622, 285, 265, 12063, 68885, 11595, 11, 12385, 20004, 1489, 2391, 709, 304, 2746, 387, 4360, 29870, 42341, 23334, 92135, 13, 220, 17, 49371, 77, 15938, 11595, 732, 40460, 9536, 7675, 5451, 2869, 21558, 135522, 198, 20, 13, 12353, 25, 16608, 10948, 40460, 1365, 350, 50085, 652, 709, 320, 924, 13, 220, 18, 22, 15, 16017, 340, 50855, 282, 21176, 21982, 40460, 48614, 304, 308, 2956, 6498, 50095, 57123, 2185, 17312, 75077, 90935, 16629, 13, 96943, 8486, 1859, 70667, 16111, 15462, 3680, 267, 4737, 261, 17312, 12812, 1070, 26875, 541, 27604, 35369, 13, 54068, 81616, 295, 9089, 304, 2694, 137900, 939, 12812, 1070, 794, 3454, 288, 2030, 60729, 38574, 273, 32929, 2956, 265, 2030, 85729, 16034, 3566, 16030, 2030, 51134, 13, 18069, 16449, 579, 32708, 50583, 5999, 54548, 6772, 4368, 9057, 14184, 288, 9240, 42306, 0, 1527, 21062, 56400, 408, 39264, 1531, 9710, 20005, 57123, 2185, 30632, 14840, 14047, 20004, 13, 38747, 304, 2694, 17152, 15719, 883, 42046, 13630, 79, 802, 450, 387, 674, 53776, 13, 49371, 77, 15938, 2185, 304, 2694, 29974, 83, 579, 42186, 43568, 5451, 2869, 21558, 135522, 198, 21, 13, 12353, 25, 350, 50085, 652, 709, 1365, 62927, 461, 336, 320, 924, 13, 220, 17, 20, 15, 16017, 340, 1519, 1070, 39264, 1531, 30632, 14047, 62927, 461, 336, 304, 3371, 29974, 579, 451, 2863, 74, 9835, 723, 5055, 28736, 13, 38472, 15098, 16754, 60730, 63940, 4368, 35363, 471, 343, 54831, 732, 5055, 28736, 2030, 47708, 2649, 83, 43860, 773, 2746, 289, 7995, 54102, 4229, 48414, 22385, 1079, 90935, 386, 39563, 17790, 13906, 11840, 77, 7157, 1704, 46014, 6395, 3371, 131634, 12495, 6395, 1191, 268, 13, 220, 17, 49371, 77, 15938, 11595, 732, 42186, 13222, 72337, 5451, 19851, 17808, 2645, 198, 3479, 268, 8495, 134303, 296, 1775, 724, 6395, 3371, 10207, 21558, 76, 1960, 131634, 12495, 6538, 328, 3662, 355, 85, 62785, 13, 25714, 2746, 131634, 811, 220, 19, 20, 20048, 8495, 71765, 305, 2210, 84, 1489, 64, 28421, 2030, 9089, 3371, 11840, 77, 7157, 1704, 46014, 2030, 6616, 40870, 4368, 1923, 94873, 10938, 13452, 55874, 44236, 2694, 732, 966, 54834, 8677, 126427, 12495, 6538, 17058, 4368, 35363, 471, 6433, 20465, 78881, 533, 458, 65423, 13, 1527, 21062, 56400, 408, 74453, 8495, 17790, 6395, 3371, 328, 3662, 355, 85, 62785, 131634, 12495, 2030, 2429, 15021, 647, 62785, 30632, 96922, 13, 38747, 8486, 69, 645, 71, 4832, 9089, 9820, 27684, 50753, 665, 14644, 19767, 2746, 131634, 12495, 13, 49371, 77, 15938, 2185, 13368, 1079, 647, 371, 351, 624, 23, 1725, 24, 13, 12353, 25, 4492, 585, 453, 35314, 198, 50855, 2739, 70489, 2746, 131634, 12495, 11, 4443, 7219, 75077, 1032, 1064, 14840, 14047, 4492, 585, 453, 35314, 6395, 282, 21176, 13, 23980, 261, 44340, 60729, 9820, 11401, 301, 46728, 458, 20004, 1489, 768, 3563, 2956, 28494, 51707, 458, 13, 8495, 20048, 16034, 468, 16676, 20004, 1489, 2391, 709, 7219, 2429, 73794, 37896, 320, 89, 1785, 13, 17363, 15554, 276, 69, 1466, 3342, 8, 12385, 16034, 362, 900, 268, 304, 2746, 467, 2391, 5342, 320, 89, 1785, 13, 5451, 2429, 38018, 568, 220, 17, 49371, 77, 15938, 11595, 732, 29974, 579, 26215, 7675, 5451, 2869, 21558, 135522, 198, 16, 15, 13, 12353, 25, 4492, 585, 453, 35314, 1365, 422, 15554, 15337, 320, 924, 13, 220, 18, 17, 15, 16017, 340, 75919, 27431, 8495, 2746, 69252, 5342, 26252, 57123, 2185, 758, 1933, 2739, 70489, 17630, 11, 39264, 1531, 1079, 566, 332, 6433, 12353, 304, 6616, 422, 15554, 15337, 304, 2746, 53558, 20915, 12010, 87045, 13, 23980, 288, 44336, 3891, 2739, 30166, 5178, 13785, 9820, 83141, 383, 458, 3893, 1609, 17739, 1345, 71, 724, 86, 5186, 44861, 51707, 11, 13368, 3371, 16430, 7725, 11, 2746, 647, 5137, 10561, 573, 375, 12385, 11753, 88, 69, 490, 52277, 258, 11, 4443, 12222, 63620, 6395, 308, 40193, 13, 49371, 77, 15938, 2185, 732, 11753, 88, 69, 490, 52277, 258, 12325, 295, 552, 9512, 5451, 19851, 17808, 2645, 198, 16, 16, 1725, 16, 17, 13, 12353, 25, 422, 15554, 15337, 1365, 18888, 436, 4223, 5055, 28736, 77549, 450, 632, 320, 924, 13, 220, 17, 15, 15, 16017, 340, 49, 4865, 2185, 4371, 7305, 50232, 3342, 8495, 2746, 566, 332, 7256, 18888, 33431, 75077, 91452, 69, 15113, 261, 431, 1241, 265, 1064, 29974, 66237, 13, 8495, 12643, 2746, 90935, 69791, 71177, 732, 50872, 73, 10524, 28761, 9512, 2739, 1323, 27918, 13, 42079, 52434, 20048, 8495, 3371, 77549, 450, 287, 524, 939, 18888, 436, 4223, 5055, 79, 7193, 17859, 55449, 28324, 320, 924, 13, 220, 18, 15, 16017, 568, 38472, 15098, 16754, 60730, 60729, 10928, 27684, 50753, 665, 56795, 1440, 16034, 18888, 436, 4223, 2030, 434, 50753, 11595, 7219, 2694, 18438, 458, 13, 220, 17, 49371, 77, 15938, 11595, 304, 2694, 18888, 436, 4223, 39378, 350, 9267, 2780, 43568, 5451, 2869, 21558, 135522, 198, 16, 18, 13, 12353, 25, 18888, 436, 4223, 137256, 61065, 1365, 65435, 61065, 320, 924, 13, 220, 17, 15, 15, 16017, 340, 81761, 75077, 1032, 1064, 19767, 29974, 66237, 282, 21176, 8495, 48614, 29134, 19767, 3371, 18888, 436, 4223, 5055, 28736, 6395, 17443, 73824, 21673, 9063, 25238, 11, 23738, 8495, 17790, 4368, 98359, 2739, 1323, 27918, 12643, 13, 29974, 332, 20783, 8896, 10928, 9820, 70056, 32030, 7714, 73794, 267, 6712, 11, 23738, 8495, 2746, 4229, 48414, 22385, 17630, 11, 10928, 14047, 2576, 2746, 350, 18849, 6395, 387, 674, 53776, 13, 49371, 77, 15938, 2185, 732, 506, 968, 13416, 14079, 9512, 5451, 2869, 21558, 135522, 198, 16, 19, 13, 12353, 25, 18888, 436, 4223, 65435, 61065, 1365, 431, 1241, 84, 320, 924, 13, 220, 19, 18, 15, 16017, 340, 50855, 2739, 70489, 2746, 18888, 436, 4223, 479, 87045, 14047, 29181, 14012, 2030, 282, 21176, 14840, 14047, 431, 1241, 84, 13, 54068, 53555, 54092, 63940, 1079, 468, 287, 524, 16034, 8012, 81, 32820, 39620, 265, 55339, 13, 431, 1241, 84, 63940, 1079, 547, 802, 939, 2988, 82872 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11, 13368, 8486, 1859, 70667, 14047, 23692, 2032, 17790, 9820, 91896, 11, 36852, 848, 23446, 15004, 267, 413, 6395, 21506, 37060, 13, 49371, 77, 15938, 2185, 304, 2694, 71298, 810, 76, 1371, 10948, 43568, 5451, 2869, 21558, 135522, 198, 16, 20, 13, 12353, 25, 431, 1241, 84, 1365, 8765, 1241, 84, 320, 924, 13, 220, 17, 15, 15, 16017, 340, 81761, 2429, 350, 1134, 14906, 76, 54383, 2746, 73507, 3342, 19767, 3371, 8012, 81, 32820, 35672, 55339, 13, 3303, 77356, 371, 54383, 4368, 18078, 1387, 2694, 10254, 64, 29643, 7219, 2429, 73910, 13, 9236, 1424, 3818, 9089, 49536, 85725, 83801, 4443, 73794, 142845, 10712, 4443, 92603, 82, 2125, 15671, 13, 12741, 7622, 402, 5170, 10948, 19767, 1323, 4865, 4368, 220, 19, 52539, 305, 2267, 288, 434, 41145, 81, 3092, 304, 72440, 2988, 1854, 90957, 11, 6616, 458, 31008, 794, 6712, 18520, 10712, 15462, 37888, 20408, 5282, 275, 5999, 13, 49371, 77, 15938, 2185, 304, 2694, 72091, 94417, 10948, 43568, 5451, 2869, 21558, 135522, 198, 16, 21, 1725, 16, 22, 13, 12353, 25, 8765, 1241, 84, 1365, 34037, 267, 50095, 8012, 81, 32820, 35672, 55339, 320, 924, 13, 220, 17, 18, 15, 16017, 340, 39726, 44977, 8495, 7219, 2694, 566, 332, 6433, 73507, 3342, 3371, 64362, 4883, 4050, 5540, 11, 2694, 47355, 939, 425, 86, 370, 86, 459, 5055, 79, 7193, 5999, 320, 77, 324, 5451, 44382, 21545, 365, 8535, 56946, 15113, 2257, 568, 38747, 141489, 8495, 9089, 88628, 265, 12063, 32274, 79, 802, 450, 11, 730, 53561, 347, 457, 11, 25949, 69, 54834, 2030, 68557, 542, 301, 3457, 10316, 13, 9774, 54936, 14668, 12353, 2739, 1323, 27918, 8495, 304, 2694, 15098, 16754, 60730, 11, 23738, 8495, 54548, 6772, 10928, 458, 88687, 49096, 344, 64321, 1960, 77414, 37060, 20048, 13, 220, 17, 49371, 77, 15938, 11595, 304, 2694, 29974, 1116, 30443, 10948, 43568, 5451, 2869, 21558, 135522, 198, 16, 23, 1725, 16, 24, 13, 12353, 25, 34037, 267, 50095, 8012, 81, 32820, 35672, 55339, 1365, 910, 15422, 5055, 28736, 320, 924, 13, 220, 17, 15, 15, 16017, 340, 40, 4079, 566, 332, 51663, 77356, 81616, 295, 9089, 4317, 383, 2694, 38124, 2986, 6395, 23007, 93710, 1079, 910, 15422, 10948, 13, 35783, 566, 332, 51663, 77356, 81616, 295, 9089, 4317, 383, 2694, 38124, 2986, 6395, 23007, 93710, 1079, 910, 15422, 10948, 13, 8495, 282, 21176, 14047, 37542, 2145, 11, 23738, 8495, 1079, 2988, 7443, 67558, 3371, 386, 3891, 86, 8535, 668, 42316, 2030, 12643, 93644, 56400, 408, 17312, 15098, 16754, 60730, 3893, 85426, 13, 86417, 85117, 82195, 406, 81616, 295, 9089, 2694, 55248, 12400, 7256, 910, 15422, 5055, 28736, 11, 2694, 13785, 2746, 72170, 74539, 665, 25949, 60727, 408, 37347, 304, 12907, 40454, 2739, 30166, 5178, 13, 15017, 48985, 305, 2210, 355, 8896, 883, 62702, 910, 1129, 268, 56381, 68557, 542, 301, 1923, 5183, 2030, 71765, 2746, 11806, 1960, 268, 393, 802, 450, 12, 2030, 431, 676, 25121, 321, 2508, 6395, 387, 674, 53776, 13, 220, 17, 49371, 77, 15938, 11595, 732, 576, 10621, 4678, 5451, 96382, 79, 2645, 609, 49096, 344, 64321, 1960, 198, 17, 15, 13, 12353, 25, 910, 15422, 5055, 28736, 1365, 22417, 29643, 320, 924, 13, 220, 16, 19, 15, 16017, 340, 1519, 1070, 39264, 1531, 817, 23200, 17312, 38124, 2986, 14047, 51220, 13, 28275, 9740, 832, 42603, 2694, 38124, 89, 627, 278, 64321, 1960, 55449, 28324, 8495, 22417, 29643, 2030, 38472, 49765, 665, 15098, 16754, 60730, 13, 3303, 28275, 23692, 351, 17630, 8495, 17790, 28831, 11, 2746, 37228, 80587, 1942, 19875, 73794, 142845, 6395, 9057, 44977, 13, 49371, 77, 15938, 2185, 304, 2694, 9154, 7714, 26215, 43568, 5451, 2869, 21558, 135522, 198, 1519, 1070, 39264, 1531, 5451, 17443, 30632, 268, 23200, 16034, 2988, 7443, 67558, 13, 8495, 47332, 2032, 16034, 2988, 7443, 67558, 11, 56500, 70836, 386, 3891, 86, 8535, 668, 2030, 1320, 645, 4370, 49503, 14047, 472, 3454, 320, 70, 932, 66238, 16111, 43860, 1494, 10938, 2988, 2391, 709, 5451, 458, 568, 51292, 31008, 91452, 69, 15113, 261, 431, 1241, 265, 1064, 29974, 66237, 13, 151643, 641, 2694, 38868, 17405, 4443, 6616, 19321, 377, 1933, 57086, 73, 17149, 1079, 4248, 2768, 24927, 17630, 304, 3371, 66968, 69713, 16449, 71, 2577, 665, 425, 823, 5186, 31151, 261, 17058, 41130, 15671, 2823, 71832, 2185, 5451, 28831, 2185, 3563, 783, 11595, 2030, 17443, 1007, 33370, 36518, 458, 3371, 3184, 1268, 19875, 136458, 2660, 1571, 7219, 38472, 12380, 7219, 1174, 91647, 69876, 13, 96943, 595, 36990, 16030, 2746, 425, 823, 5186, 31151, 261, 13906, 50041, 422, 27918, 6616, 13517, 354, 10559, 468, 94213, 2185, 16892, 695, 939, 9740, 4382, 2185, 6860, 288, 5451, 5016, 11855, 2493, 7865, 6222, 813, 13518, 11, 45975, 86, 32612, 65, 60127, 2030, 56255, 811, 69, 39620, 21545, 268, 11, 6616, 9421, 54649, 328, 4865, 773, 77158, 38130, 13368, 50837, 387, 54081, 12643, 35141, 13, 43997, 24929, 17790, 6616, 14835, 44, 11509, 939, 26832, 1960, 730, 82491, 288, 50686, 13785, 20624, 268, 23388, 54749, 2030, 59228, 31397, 850, 431, 1743, 730, 3433, 440, 304, 17443, 50201, 939, 12353, 433, 20283, 28852, 21982, 220, 17, 19, 13, 15, 23, 13, 17, 15, 16, 23, 5451, 2694, 30512, 1902, 82850, 14835, 42, 3433, 12556, 70944, 69, 4443, 6616, 16328, 1079, 4248, 2768, 24927, 2073, 9421, 72313, 6772, 10207, 89730, 14821, 11, 29167, 2717, 14821, 11, 15719, 9089, 19846, 14047, 59330, 2185, 2694, 425, 823, 5186, 31151, 261, 40157, 12222, 2770, 19358, 6772, 5699, 14033, 5679, 11, 6616, 4368, 75712, 26769, 14835, 623, 25720, 628, 89, 6691, 39470, 2073, 13785, 56751, 2501, 2030, 2694, 54092, 15462, 47669, 50008, 6237, 71832, 41852, 529, 624, 83953, 50435, 32050, 1626, 28421, 14821, 85725, 83769, 5566, 65078, 2024, 54081, 11, 14948, 8793, 12222, 12789, 552, 13920, 20005, 472, 5186, 5183, 6395, 13785, 19154, 268, 12583, 11, 51290, 2694, 14835, 261, 73411, 13820, 29618, 5197, 2185, 16892, 485, 713, 79374, 135786, 71960, 18982, 135786, 21982, 11426, 288, 5183, 74, 14649, 35225, 732, 2869, 21558, 73, 15113, 220, 17, 15, 16, 23, 304, 2746, 9774, 16017, 541, 16776, 48376, 295, 56364, 26109, 13, 8408, 1527, 87227, 11595, 939, 9774, 16017, 1127, 331, 332, 31793, 12583, 732, 17859, 610, 465, 21673, 78765, 19985, 4101, 939, 11426, 288, 5183, 74, 14649, 309, 2338, 21982, 220, 15, 21, 13, 15, 21, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17, 15, 16, 23, 14047, 89, 2425, 268, 11, 2694, 304, 2694, 8031, 26485, 14835, 83956, 1528, 84, 529, 11, 68336, 1199, 13920, 11, 37801, 38809, 2073, 2694, 19846, 261, 28831, 2185, 141871, 26109, 624, 35, 395, 13279, 77742, 306, 21188, 75, 11595, 2694, 9774, 16017, 1127, 331, 32997, 5699, 37633, 28129, 5222, 13601, 529, 14821, 11, 70251, 396, 25531, 18520, 304, 14562, 6395, 58065, 13, 2055, 56945, 61606, 23446, 15928, 24803, 6616, 10928, 10712, 14835, 53750, 87818, 86, 573, 375, 2073, 387, 85740, 68, 18069, 87818, 5183, 74, 14649, 7219, 2429, 3371, 74, 14649, 45061, 28658, 89, 1960, 328, 1176, 301, 939, 98877, 1923, 268, 66965, 13002, 321, 51899, 11250, 1663, 5183, 16017, 1127, 1848, 28698, 11, 1508, 1126, 17958, 6538, 82276, 939, 9774, 16017, 1127, 331, 332, 31793, 28086, 304, 220, 17, 15, 16, 20, 27959, 1268, 10938, 13093, 268, 2712, 6454, 336, 783, 295, 47650, 13, 55448, 2694, 3680, 461, 7997, 2694, 8793, 3371, 74, 14649, 45061, 28658, 89, 1960, 11, 55248, 1126, 17958, 293, 2863, 43441, 16053, 289, 529, 85, 32289, 730, 661, 8666, 65006, 962, 5999, 47226, 29413, 6772, 53211, 5178, 11, 28883, 14948, 9089, 2694, 3184, 1268, 10938, 136458, 2660, 1571, 2030, 3739, 278, 7256, 730, 494, 1723, 268, 850, 7937, 98918, 5451, 47808, 64560, 7180, 3371, 9740, 39416, 2694, 37471, 384, 40399, 61007, 8896, 13, 3303, 730, 661, 8666, 293, 2717, 37699, 4368, 77742, 306, 21188, 1536, 7180, 9820, 66983, 939, 19929, 4865, 82, 776, 89, 64870, 83758, 282, 395, 54102, 26369, 8858, 34298, 434, 44011, 11, 2694, 732, 4929, 66075, 2694, 6250, 10661, 75, 11595, 32175, 6331, 268, 8896, 11, 1147, 10110, 4979, 17058, 425, 21558, 811, 732, 65503, 939, 4182, 392, 2863, 1117, 3096, 642, 9820, 38383, 31380, 267, 14033, 665, 74227, 324, 28698, 13, 45481, 23273, 1353, 25423, 83, 9089, 12412, 2694, 468, 80587, 1942, 7219, 11, 14948, 2739, 52015, 6772, 14410, 713, 13820, 730, 10523, 258, 36702, 11595, 94505, 72101, 83, 304, 2988, 2305, 7522, 32175, 539, 4711, 12643, 11, 2746, 13279, 17058, 22539, 40499, 21673, 29247, 3891, 2185, 50041, 32595, 62411, 10938, 377, 408, 10712, 84758, 1489, 2305, 7522, 12385, 350, 4738, 12164, 8535, 39620, 613, 142454, 32175, 6331, 268, 12643, 41762, 42469, 13, 2055, 11372, 16030, 2746, 12748, 23647, 1079, 4248, 2768, 24927, 55248, 54936, 333, 610, 11, 304, 2429, 8495, 7180, 2746, 2162, 13, 220, 17, 15, 15, 15, 296, 17, 16328, 135266, 732, 65503, 2162, 13, 220, 17, 17, 4999, 19461, 3183, 17, 730, 3145, 76, 66860, 6538, 17443, 13785, 11855, 68896, 268, 20740, 1404, 57984, 2030, 136249, 2746, 6785, 20004, 495, 16722, 2185, 6538, 730, 10523, 258, 36702, 11595, 7180, 38472, 15577, 371, 6566, 83592, 77919, 20048, 624, 32, 652, 28095, 49503, 16034, 9774, 16017, 1127, 331, 32997, 1079, 4248, 2768, 24927, 510, 17360, 5999, 7180, 23273, 9820, 282, 459, 273, 730, 2855, 2554, 9421, 3874, 2245, 23318, 2030, 19929, 819, 331, 14033, 38132, 11, 14948, 90039, 2694, 6395, 36115, 4081, 276, 42469, 23995, 19488, 12, 3430, 13090, 24619, 14835, 53750, 87818, 86, 573, 375, 2073, 2030, 14835, 42, 661, 8666, 7671, 21558, 12495, 2073, 10928, 13279, 2694, 4182, 30429, 454, 10715, 2185, 1079, 4248, 2768, 24927, 2694, 9774, 16017, 1127, 331, 32997, 21506, 2694, 431, 2305, 1107, 51528, 11, 52507, 2694, 19846, 261, 5363, 266, 2030, 2746, 1147, 590, 21545, 6433, 5363, 1862, 423, 86, 3145, 11595, 1007, 724, 4865, 6772, 10246, 652, 17443, 6095, 13518, 75712, 6395, 60404, 15795, 12583, 11, 10712, 5451, 2694, 60423, 746, 38132, 6538, 9774, 16017, 1127, 331, 32997, 6691, 84, 1489, 8535, 2746, 14835, 71832, 43441, 10559, 15552, 2073, 6538, 19846, 6395, 9089, 932, 13, 23980, 288, 21506, 312, 54327, 20491, 266, 21673, 20404, 4865, 2154, 3122, 1960, 54936, 333, 301, 71, 2577, 665, 6250, 35505, 73741, 9089, 10928, 15269, 276, 18859, 76, 45699, 11, 14948, 9089, 2694, 11426, 288, 5183, 74, 14649, 17606, 304, 17443, 5016, 60322, 21982, 220, 17, 22, 13, 15, 19, 13, 17, 15, 16, 23, 41852, 54594, 8896, 11, 14948, 2714, 304, 6616, 1187, 1704, 10938, 9680, 28122, 423, 96922, 34368, 6395, 17443, 28831, 71865, 4368, 143213, 11706, 26109, 11, 10712, 19767, 3371, 28086, 36077, 1147, 12303, 50958, 26659, 315, 8829, 47143, 90796, 7256, 1634, 375, 40951, 939, 42952, 1225, 2338, 47226, 5363, 266, 2030, 2429, 75712, 19321, 377, 1933, 18859, 709, 89, 324, 3342, 43303, 624, 2304, 1776, 39264, 5451, 11426, 66819, 2382, 648, 850, 8459, 13, 2926, 13, 619, 2956, 1984, 11443, 47524, 11, 2694, 6395, 18597, 77, 939, 136458, 65, 7714, 73276, 28122, 423, 96922, 82, 53383, 5451, 2694, 9494, 632, 5840, 258, 42712, 6569, 321, 71, 9683, 2030, 2429, 98877, 1923, 268, 730, 494, 1723, 268, 850, 11108, 434, 5623, 75, 274, 1762, 1859, 730, 1003, 1579, 1079, 9680, 28122, 423, 96922, 3893, 2391, 12755, 42668, 11, 17058, 2694, 65733, 15795, 425, 823, 5186, 31151, 261, 17058, 2755, 6128, 24774, 2030, 3371, 74, 14649, 87027, 42888, 92979, 939, 77748, 73411, 61606, 42469, 9740, 4382, 2185, 6860, 288, 304, 3371, 27914, 383, 2685, 624, 32, 1387, 22075, 2746, 136458, 34711, 2030, 136458, 2694, 54092, 12222, 69987, 18069, 1489, 1854, 7219, 6250, 86, 3145, 28122, 423, 96922, 17630, 11, 74453, 9911, 9089, 732, 89507, 2694, 63318, 306, 21673, 20004, 1937, 2185, 939, 2823, 71832, 28122, 78524, 220, 16, 12, 24, 23, 5451, 50837, 267, 68042, 11, 304, 39416, 6772, 1745, 268, 8345, 50958, 794, 82017, 38130, 5676, 1274, 58791, 6433, 11, 304, 69507, 9911, 7219, 2746, 6454, 336, 433, 1952, 8907, 2391, 14553, 34966, 2185, 3371, 74, 14649, 15897, 273, 1389, 32708, 7828, 844, 51721, 896, 23129, 74453, 13, 29643, 2746, 3371, 74, 14649, 47631, 21673, 7828, 844, 8793, 9421, 40334, 408, 10207, 2391, 14553, 4865, 17917, 12643, 11, 20048, 2746, 61169, 21673, 93403, 57926, 11595, 732, 89507, 17058, 20317, 268, 39720, 1100, 10561, 424, 17058, 17239, 4865, 21673, 2340, 2391, 78606, 21506, 89, 11706, 12643, 624, 16, 18, 13, 6122, 220, 17, 15, 16, 23, 608, 15, 67489, 546, 5457, 263, 51671, 13481, 47772, 74, 198, 30124, 13363, 86, 16568, 25, 4248, 2768, 24927, 11, 9774, 16017, 1127, 331, 32997, 11, 619, 2956, 1984, 11443, 47524, 11, 7937, 98918, 11, 42712, 6569, 321, 71, 9683, 11, 19321, 377, 1933, 198, 53750, 52015, 1013 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22837, 198, 6639, 22837, 7219, 5573, 198, 6639, 22837, 7219, 6271, 198, 81761, 5085, 10, 1013, 22837, 198, 6639, 22837, 7219, 25051, 198, 6639, 22837, 7219, 91939, 198, 6639, 22837, 7219, 43599, 198, 6639, 22837, 7219, 32656, 198, 6639, 22837, 7219, 26630, 198, 3889, 468, 37513, 1013, 22837, 198, 2428, 1110, 69134, 1762, 11567, 261, 35505, 2285, 30746, 6808, 29581, 14, 17, 15, 16, 23, 14, 15, 23, 11295, 4872, 62, 4395, 62, 16, 13925, 84, 3508, 220, 16, 16, 23, 17, 220, 16, 16, 23, 17, 51671, 13481, 47772, 74, 3703, 1110, 69134, 1762, 11567, 261, 35505, 2285, 30746, 6808, 29581, 14, 17, 15, 16, 23, 14, 15, 23, 14, 27583, 36322, 268, 62, 17, 12, 18, 15, 15, 87, 16, 18, 17, 3508, 51671, 13481, 47772, 74, 17, 15, 16, 23, 12, 15, 24, 12, 16, 18, 220, 16, 24, 25, 15, 23, 25, 17, 20, 17, 15, 16, 23, 12, 16, 17, 12, 16, 21, 220, 16, 21, 25, 20, 17, 25, 18, 19, 30124, 75, 1854, 5451, 2694, 19929, 819, 331, 14033, 38132, 939, 9774, 16017, 1127, 331, 332, 31793, 58062, 32617, 67594, 97703, 10928, 39353, 16030, 198, 92688, 24927, 481, 18069, 16328, 939, 26832, 1960, 730, 82491, 82, 87231, 3371, 9740, 4382, 2185, 6860, 8793, 41852, 30875, 6433, 198, 5668, 433, 20283, 28852, 220, 17, 23, 13, 6156, 220, 17, 15, 16, 23, 198, 38279, 61798, 28831, 2185, 220, 15, 20, 13, 16, 15, 13, 17, 15, 16, 23, 198, 38279, 61798, 28831, 2185, 220, 16, 18, 13, 16, 16, 13, 17, 15, 16, 24, 198, 38279, 61798, 386, 39563, 2203, 220, 17, 20, 13, 15, 21, 13, 17, 15, 17, 15, 198, 38279, 61798, 386, 39563, 2203, 220, 16, 16, 13, 16, 16, 13, 17, 15, 16, 24, 198, 38279, 61798, 386, 39563, 2203, 220, 15, 16, 13, 15, 17, 13, 17, 15, 16, 24, 198, 5668, 433, 20283, 28852, 220, 17, 23, 13, 16, 16, 13, 17, 15, 16, 23, 198, 15, 67489, 546, 198, 1912, 258, 67489, 277, 198, 2082, 38868, 17405, 1274, 58791, 6433, 5267, 39, 2245, 75, 13256, 6975, 1581, 16676, 67489, 277, 4894, 30124, 265, 23549, 15462, 67489, 277, 95817, 668, 20512, 7522, 198, 1912, 482, 468, 37513, 12, 67777, 14821, 8793, 141871, 13, 41663, 1358, 20005, 49753, 261, 12583, 5451, 353, 1868, 17029, 198, 82043, 478, 277, 1213, 675, 1213, 36, 37513, 1213, 30051, 198, 34, 25431, 198, 23, 488, 220, 17, 4035, 42, 7593, 3591, 198, 26700, 320, 16, 20, 340, 5886, 288, 20283, 28852, 320, 21, 24, 340, 20043, 2955, 220, 17, 15, 17, 16, 481, 4248, 2768, 72628, 19462, 35505, 2285, 198, 42, 544, 9913, 198, 45696, 46745, 32997, 198, 25216, 673, 372, 198, 33, 13, 1863, 13, 220, 16, 17, 13, 15, 24, 13, 17, 15, 16, 23, 14835, 18, 80624, 4248, 2768, 2073, 1365, 8408, 9494, 632, 74, 1960, 74, 66599, 44628, 529, 6395, 9338, 75919, 89005, 9059, 268, 198, 48047, 77919, 25994, 7219, 44160, 16023, 13, 18069, 7256, 6538, 74021, 12583, 94655, 8345, 613, 11, 66983, 32936, 6975, 82197, 11, 26769, 16023, 2030, 38472, 41663, 65224, 6395, 98038, 932, 13, 43997, 8495, 21506, 220, 16, 21, 48015, 4797, 12583, 2030, 38472, 93716, 12543, 2185, 6395, 83423, 14387, 6433, 60404, 15795, 56500, 85970, 11, 47827, 8495, 38472, 9740, 74991, 16892, 485, 13920, 343, 1960, 4443, 80834, 43506, 25151, 77449, 13, 34903, 79551, 25994, 2030, 32936, 7001, 1609, 3591, 7219, 44160, 16023, 13, 18069, 7256, 6538, 74021, 12583, 94655, 8345, 613, 11, 66983, 32936, 6975, 82197, 11, 26769, 16023, 2030, 38472, 41663, 65224, 6395, 98038, 932, 13, 87040, 143213, 33124, 46954, 20048, 2739, 59908, 295, 12643, 320, 89, 13, 425, 13, 6790, 12, 2589, 673, 268, 701, 1147, 13, 425, 13, 7180, 4345, 13229, 13820, 1527, 44919, 2030, 91912, 665, 12385, 1527, 44919, 12, 2030, 91912, 2576, 49746, 2185, 13, 1205, 41846, 48842, 13785, 2746, 6250, 66671, 75077, 46954, 35103, 8495, 304, 44160, 91741, 59522, 77131, 2185, 13, 8495, 20048, 38472, 95830, 55928, 29413, 21506, 468, 6308, 76213, 9724, 615, 28421, 12385, 458, 6385, 268, 624, 45696, 46745, 332, 2986, 6308, 76213, 198, 37438, 268, 8345, 613, 198, 15878, 380, 36433, 198, 840, 465, 811, 3264, 3591, 198, 70451, 17324, 54749, 16030, 198, 19719, 88581, 198, 1425, 63923, 29937, 91741, 332, 2986, 6308, 76213, 198, 20616, 12, 7799, 91741, 59522, 77131, 2185, 96783, 372, 198, 45696, 46745, 332, 2986, 6308, 76213, 198, 70194, 8495, 21506, 220, 16, 21, 48015, 4797, 12583, 2030, 38472, 93716, 12543, 2185, 6395, 83423, 14387, 6433, 60404, 15795, 56500, 85970, 11, 47827, 8495, 38472, 9740, 74991, 16892, 485, 13920, 343, 1960, 4443, 80834, 43506, 25151, 77449, 13, 34903, 79551, 25994, 2030, 32936, 7001, 1609, 3591, 7219, 44160, 16023, 13, 18069, 7256, 6538, 74021, 12583, 94655, 8345, 613, 11, 66983, 32936, 6975, 82197, 11, 26769, 16023, 2030, 38472, 41663, 65224, 6395, 98038, 932, 13, 87040, 143213, 33124, 46954, 20048, 2739, 59908, 295, 12643, 320, 89, 13, 425, 13, 6790, 12, 2589, 673, 268, 701, 1147, 13, 425, 13, 7180, 4345, 13229, 13820, 1527, 44919, 2030, 91912, 665, 12385, 1527, 44919, 12, 2030, 91912, 2576, 49746, 2185, 13, 1205, 41846, 48842, 13785, 2746, 6250, 66671, 75077, 46954, 35103, 8495, 304, 44160, 91741, 59522, 77131, 2185, 13, 38747, 35103, 8495, 9820, 30512, 1902, 4865, 13785, 12304, 31100, 408, 33748, 25994, 13, 8495, 20048, 38472, 18069, 14387, 42603, 6395, 24851, 5679, 730, 7593, 3591, 56500, 12385, 9089, 61550, 48842, 83797, 47008, 2030, 773, 12222, 94718, 665, 25994, 9421, 86, 85242, 624, 70451, 17324, 54749, 16030, 12307, 88581, 198, 57, 324, 19358, 198, 45696, 46745, 332, 2986, 6308, 76213, 198, 37438, 268, 8345, 613, 320, 16, 340, 37438, 268, 8345, 6712, 25994, 97035, 21673, 93434, 1937, 10938, 71065, 268, 2030, 12583, 7180, 2746, 4368, 79810, 24716, 645, 71065, 2694, 16023, 36408, 1358, 6772, 624, 20616, 12, 14873, 268, 83797, 24356, 12, 14873, 268, 9421, 2024, 19875, 198, 675, 198, 33, 269, 70271, 24356, 198, 2082, 8221, 1404, 198, 36, 343, 306, 2391, 1174, 31008, 16023, 11, 96783, 372, 198, 57, 896, 377, 198, 19719, 92473, 2746, 468, 6308, 76213, 2694, 18078, 73612, 11, 2746, 304, 2694, 24356, 8261, 6538, 22918, 70271, 24356, 9421, 37285, 83049, 47650, 624, 20616, 3988 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 198, 9368, 70271, 87239, 198, 20616, 4929, 1704, 29413, 198, 16, 37419, 198, 15878, 380, 36433, 320, 16, 340, 15878, 380, 36433, 198, 15878, 95393, 25994, 36408, 27277, 48842, 31148, 13, 54068, 48842, 82197, 6975, 6395, 85104, 40697, 11, 13368, 44367, 18078, 73612, 44367, 16023, 77919, 624, 20616, 12, 14873, 268, 83797, 24356, 12, 14873, 268, 9421, 2024, 19875, 198, 55802, 54749, 16030, 198, 14444, 32427, 198, 675, 198, 14444, 32427, 198, 2082, 8221, 1404, 198, 14444, 14648, 18905, 11, 25867, 4678, 11, 4716, 651, 6686, 11, 32877, 220, 19, 11, 14648, 198, 57, 896, 377, 198, 20616, 6538, 5085, 7180, 16023, 57916, 278, 1047, 268, 13, 9740, 37400, 83, 20115, 10559, 46954, 95038, 11, 13368, 2694, 18078, 73612, 2746, 16023, 9979, 11687, 624, 45696, 46745, 59522, 77131, 2185, 198, 2428, 1110, 79, 42038, 5713, 905, 14, 46821, 30, 17958, 28, 450, 198, 20616, 3988, 198, 1889, 64, 20399, 70, 266, 20399, 34849, 198, 20616, 4929, 1704, 29413, 198, 17, 48015, 198, 840, 465, 811, 3264, 3591, 320, 18, 340, 840, 465, 811, 3264, 3591, 198, 641, 11866, 665, 6538, 81501, 55078, 1587, 627, 268, 2030, 9784, 5251, 4495, 12, 2120, 1587, 627, 268, 12643, 5297, 140448, 2504, 17029, 13, 43997, 25994, 6538, 15637, 268, 3264, 3591, 17324, 54749, 17029, 12643, 11, 4845, 59226, 2694, 76716, 81, 3092, 7219, 26769, 91912, 665, 1962, 10453, 883, 70628, 18069, 14387, 42603, 18520, 13, 151643, 55063, 80593, 47332, 301, 47635, 10559, 15098, 1952, 71, 5676, 1147, 1466, 4832, 1531, 9089, 9421, 11, 84132, 40951, 7906, 52662, 49662, 33315, 8166, 6395, 54395, 331, 11567, 26824, 13, 444, 2717, 17058, 7659, 645, 2694, 730, 69, 54, 7671, 1180, 826, 30622, 375, 12583, 12583, 732, 20004, 1933, 22318, 533, 61197, 72295, 1524, 11, 9529, 266, 1524, 2030, 289, 7066, 81936, 261, 1279, 136507, 7272, 34047, 5699, 265, 20319, 6616, 6879, 1370, 258, 18770, 609, 4501, 645, 2694, 468, 63274, 16810, 324, 2067, 56368, 304, 53936, 834, 3045, 268, 20004, 61229, 13, 44462, 2340, 7184, 1371, 68057, 14821, 6538, 3371, 97268, 21506, 88487, 17739, 49096, 344, 64321, 1960, 6538, 10112, 67, 2248, 1579, 35346, 56539, 17246, 50753, 261, 95030, 34581, 896, 85188, 89, 21062, 304, 33000, 10207, 89730, 624, 22171, 133661, 50528, 52015, 4229, 1575, 73596, 10393, 2185, 7180, 4368, 14552, 304, 2694, 89931, 44278, 54578, 409, 33000, 5999, 304, 4400, 3433, 479, 844, 2030, 4368, 834, 1137, 33328, 10573, 268, 14821, 47143, 7219, 3371, 58534, 3893, 85426, 13, 21766, 2429, 77742, 40110, 16858, 22589, 91304, 343, 2338, 14187, 57423, 1640, 11426, 3893, 85426, 2030, 5841, 333, 33235, 13820, 78765, 144005, 13906, 44340, 304, 33000, 9421, 42153, 695, 295, 12643, 13, 23980, 261, 14047, 39416, 7256, 84247, 22589, 19767, 141786, 9421, 2429, 142407, 14906, 76, 89770, 78, 1069, 4406, 2285, 939, 46307, 1065, 1571, 2356, 7180, 289, 61811, 20005, 76604, 59908, 2030, 92979, 320, 28942, 57, 8, 1931, 87481, 12643, 13, 77775, 1330, 309, 5451, 31313, 8802, 268, 26109, 2694, 77742, 306, 86, 29363, 48376, 485, 4865, 13, 12741, 1527, 52015, 14821, 28095, 304, 76604, 59908, 5451, 2694, 4863, 21188, 75, 28122, 57804, 11256, 64, 342, 38, 31098, 9421, 54727, 19985, 295, 624, 54370, 89770, 78, 97252, 2285, 12643, 61197, 27684, 2956, 6498, 529, 11, 2746, 304, 4863, 21188, 75, 28122, 12, 2030, 5016, 9157, 268, 43183, 93016, 2725, 16030, 2030, 49536, 24440, 21506, 88487, 86957, 59363, 14047, 39416, 343, 12743, 59493, 56945, 13, 19000, 73910, 143037, 5451, 14259, 406, 77, 36964, 13785, 16942, 74, 14274, 10559, 11, 773, 89, 19893, 2030, 16942, 74, 1609, 10559, 89507, 2721, 287, 11595, 13906, 44340, 2030, 51327, 723, 11, 87878, 6712, 53363, 36433, 6395, 21187, 16030, 13, 54412, 48842, 53797, 7219, 89770, 78, 97252, 2285, 624, 38, 59378, 56539, 21062, 1129, 268, 304, 6489, 268, 468, 1194, 8212, 336, 13977, 74, 1960, 28789, 220, 17, 15, 13, 78765, 74, 644, 673, 88019, 359, 44444, 798, 87264, 13, 95030, 34581, 896, 85188, 89, 21062, 10207, 89730, 9421, 33000, 624, 9499, 1575, 76, 10559, 468, 63274, 3004, 1775, 2185, 304, 33000, 10712, 7107, 12, 88492, 12, 3430, 68057, 1365, 10112, 67, 2248, 1579, 35346, 56539, 17246, 50753, 261, 95030, 34581, 896, 85188, 89, 21062, 8896, 7219, 2429, 220, 17, 15, 13, 78765, 74, 644, 673, 88019, 359, 44444, 798, 87264, 1079, 220, 16, 21, 13, 3841, 93289, 6538, 59228, 21506, 88487, 17739, 41663, 74374, 732, 74219, 4229, 1575, 73596, 304, 137256, 15232, 11496, 10207, 89730, 13, 422, 39129, 42668, 2746, 468, 63274, 16810, 324, 2067, 56368, 732, 89507, 2694, 386, 23318, 468, 30084, 4802, 609, 3015, 14047, 98675, 48376, 301, 21140, 624, 22171, 47634, 81, 383, 258, 37602, 69, 29802, 10559, 730, 4659, 300, 331, 32997, 1065, 1571, 54105, 4926, 27127, 15588, 3818, 3371, 9740, 51176, 46621, 3492, 371, 4101, 939, 18211, 43257, 16034, 61150, 14835, 45, 539, 81, 383, 258, 60761, 69, 35649, 732, 6489, 268, 730, 4659, 300, 331, 32997, 1365, 647, 316, 468, 5176, 12, 16034, 26141, 39848, 2305, 2576, 37137, 10721, 76184, 2362, 1527, 21062, 75, 1854, 8300, 65161, 39295, 54, 13002, 61811, 82, 1065, 1571, 12193, 3748, 83, 15687, 258, 13785, 6616, 14835, 57, 3101, 60730, 17246, 783, 74001, 570, 61811, 25, 2362, 11903, 46621, 17246, 783, 47226, 3184, 360, 36616, 2030, 98317, 2073, 624, 1654, 41846, 647, 371, 81, 70668, 11, 18976, 81, 22157, 2030, 78765, 1324, 77, 70056, 32030, 33748, 22318, 29937, 468, 63274, 12, 2030, 730, 4659, 300, 331, 32997, 339, 16335, 2030, 10924, 268, 3371, 47355, 25402, 76, 932, 4229, 48414, 22385, 16034, 282, 610, 21673, 12926, 11855, 331, 13, 2055, 4116, 2694, 647, 371, 4101, 6538, 42250, 77, 85188, 89, 21062, 47355, 939, 78765, 54059, 14835, 38, 59378, 56539, 21062, 1129, 268, 304, 6489, 268, 468, 1194, 8212, 336, 13977, 74, 1960, 76184, 44462, 16821, 2356, 5342, 321, 88487, 13364, 31873, 13820, 2714, 93644, 56400, 408, 5451, 2429, 22611, 7637, 372, 13785, 910, 1129, 268, 2030, 29505, 1268, 343, 51707, 13279, 6489, 268, 42952, 1225, 1960, 624, 22171, 18211, 673, 282, 437, 732, 89507, 2694, 468, 30084, 4802, 609, 3015, 11, 2694, 61921, 2305, 17739, 1967, 275, 8828, 325, 7180, 468, 63274, 12, 2030, 73794, 86, 61811, 67317, 13, 647, 316, 220, 16, 21, 13, 14840, 220, 16, 23, 13, 3841, 93289, 220, 17, 15, 16 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21, 548, 90930, 77399, 40897, 220, 21, 20, 15, 20004, 72511, 9421, 220, 17, 20, 17227, 268, 34749, 60404, 267, 273, 380, 11595, 2030, 87479, 9421, 3371, 43157, 28324, 92603, 36519, 20854, 12, 2030, 73794, 86, 61811, 39307, 74001, 66860, 2125, 1579, 2030, 468, 63274, 6445, 449, 3591, 89, 624, 32617, 49765, 665, 69084, 1127, 9285, 64260, 939, 5748, 1174, 28064, 730, 4659, 64, 51, 86957, 2694, 61197, 8896, 732, 74882, 1377, 13279, 10112, 67, 2248, 1579, 67317, 140600, 22157, 13, 34903, 17630, 2746, 15058, 265, 465, 2694, 16942, 3342, 21673, 17210, 7231, 575, 5849, 13, 13785, 84605, 3563, 2956, 28494, 51707, 6538, 4229, 1575, 73596, 10712, 1217, 74889, 468, 63274, 87165, 2030, 468, 63274, 6445, 449, 3591, 89, 5251, 64, 7997, 38130, 5676, 6051, 17029, 624, 1514, 275, 2694, 2825, 34271, 2185, 939, 5748, 1174, 28064, 730, 4659, 64, 51, 86957, 2694, 61197, 13906, 40462, 45506, 2922, 351, 16030, 16111, 6538, 10112, 67, 2248, 1579, 6975, 304, 36744, 70165, 54942, 285, 13, 23980, 268, 42668, 2746, 54092, 5748, 1174, 713, 732, 89507, 13305, 416, 5388, 461, 50958, 730, 4659, 300, 331, 32997, 39537, 54749, 288, 220, 17, 15, 16, 18, 304, 55397, 17239, 28421, 624, 18175, 431, 28865, 2694, 33312, 88487, 41852, 56539, 17917, 9089, 387, 285, 2493, 2010, 41210, 5451, 60352, 4480, 68, 2125, 1609, 3591, 2030, 7107, 12, 88492, 12, 3430, 285, 2493, 8398, 9421, 3371, 43157, 28324, 2926, 1942, 9835, 723, 11, 468, 63274, 11, 2823, 273, 32030, 2185, 2030, 69252, 17958, 2185, 39307, 5451, 14410, 42189, 6772, 27684, 539, 50958, 37456, 455, 17739, 1863, 529, 333, 449, 1268, 11595, 2030, 87862, 142407, 142432, 624, 3430, 318, 77065, 18078, 1387, 13279, 6975, 732, 13017, 44914, 16540, 42469, 16111, 3371, 47355, 25402, 76, 932, 13906, 58158, 11, 58319, 1967, 380, 11595, 10112, 67, 2248, 1579, 304, 50435, 43157, 28324, 458, 65, 33254, 15719, 13, 42616, 16111, 57465, 39337, 3119, 408, 2030, 10207, 266, 408, 13368, 10928, 9421, 68545, 9300, 13279, 2694, 23334, 746, 38132, 1274, 44914, 50095, 468, 63274, 6445, 449, 3591, 89, 5251, 64, 7997, 38130, 5676, 143562, 20048, 2030, 58319, 71602, 10938, 30976, 273, 49536, 6616, 61150, 4229, 1575, 73596, 2030, 2694, 22539, 40499, 20005, 84247, 6538, 467, 2305, 8719, 747, 1510, 268, 58237, 15719, 624, 45, 3065, 268, 2694, 77742, 901, 58498, 2694, 61197, 27298, 1531, 15462, 54936, 14668, 730, 4659, 64, 51, 16053, 7180, 136458, 11, 9494, 632, 74, 1960, 11, 73360, 1923, 1440, 2030, 5836, 36616, 2280, 483, 7256, 13, 58616, 9450, 355, 7522, 9089, 869, 730, 4659, 300, 331, 32997, 2245, 433, 65161, 13785, 66461, 51707, 2694, 468, 63274, 68, 1330, 1732, 2185, 6395, 71, 3454, 11, 1079, 70165, 57548, 12385, 28789, 73360, 6538, 52795, 143492, 77, 9421, 13, 77356, 5999, 1531, 14410, 69701, 20005, 1298, 89, 23318, 77868, 60462, 26824, 11, 2746, 6616, 37210, 355, 267, 48435, 7180, 3371, 547, 12311, 524, 5451, 468, 63274, 5699, 2305, 8052, 268, 624, 80593, 38472, 15690, 10358, 2071, 5999, 2746, 54092, 5748, 1174, 713, 21982, 11426, 39295, 54, 5451, 2429, 14835, 63369, 12354, 17318, 2073, 65078, 85740, 30179, 13, 12741, 60939, 26109, 304, 36744, 37419, 6538, 11426, 288, 1065, 1571, 4926, 27127, 2030, 2694, 468, 63274, 16810, 324, 2067, 56368, 458, 1640, 4188, 35225, 220, 17, 17, 87727, 359, 268, 2030, 57093, 29618, 1064, 2739, 11567, 12032, 13, 8495, 12304, 83572, 9089, 304, 9057, 14184, 261, 1205, 1064, 4443, 3371, 730, 4659, 300, 331, 32997, 384, 40399, 61007, 2030, 773, 29695, 8095, 268, 11, 3371, 3539, 17, 6691, 355, 33052, 7997, 6395, 348, 14443, 932, 624, 36, 6498, 129059, 8719, 747, 1510, 268, 796, 50656, 3289, 449, 1167, 13, 60423, 15462, 2341, 8345, 15671, 467, 2305, 8719, 747, 1510, 79680, 333, 14821, 2694, 67952, 308, 44226, 7256, 92603, 342, 59391, 7272, 13, 16887, 10928, 3371, 794, 62014, 8221, 1404, 20048, 18372, 7070, 6538, 467, 2305, 8719, 747, 1510, 268, 83423, 52367, 2892, 2030, 978, 9151, 17760, 2574, 8793, 11806, 1960, 18520, 485, 305, 1241, 529, 19461, 624, 18175, 9919, 1199, 82850, 5649, 12070, 1944, 77509, 28095, 304, 2694, 97268, 20004, 61229, 320, 15, 18, 14, 17, 15, 16, 20, 701, 13368, 8495, 12412, 133238, 2746, 61430, 6433, 23959, 1612, 35103, 2030, 13279, 13093, 59226, 3371, 1527, 8221, 1404, 582, 90830, 77, 20048, 13, 45481, 61550, 48842, 16034, 61150, 467, 2305, 8719, 747, 1510, 79680, 1612, 17837, 59141, 8495, 12412, 16034, 50201, 624, 83953, 70777, 40897, 4443, 2746, 84605, 6538, 44693, 86, 13977, 2660, 2030, 23334, 86, 3818, 86, 13977, 2660, 54383, 43860, 2746, 10112, 67, 2248, 1579, 31477, 5451, 40577, 2030, 62467, 17312, 47404, 13, 328, 1726, 7522, 8495, 6975, 458, 624, 6953, 64002, 142454, 14322, 768, 81, 1241, 29011, 268, 2660, 5658, 86957, 14930, 44602, 268, 776, 7964, 34461, 12495, 3240, 14931, 306, 477, 33000, 468, 30084, 5748, 1174, 713, 92979, 14357, 355, 36772, 59908, 9740, 1999, 4943, 4324, 44693, 86, 13977, 2660, 9740, 811, 8801, 54102, 468, 63274, 9740, 811, 8801, 54102, 74001, 3591, 12339, 74, 550, 142407, 70, 66976, 93912, 1323, 359, 12495, 4229, 1609, 68, 4229, 1575, 73596, 47227, 86, 395, 4195, 433, 267, 6712, 730, 4659, 64, 51, 16053, 730, 4659, 672, 37121, 18211, 673, 22463, 29413, 79, 1510, 3004, 1387, 28275, 39416, 7256, 92979, 33726, 3004, 33827, 431, 8666, 74, 932, 930, 67, 36616, 431, 8666, 930, 67, 36616, 74303, 22385, 328, 39089, 67056, 11042, 901, 40308, 47561, 794, 2844, 28064, 87818, 77, 610, 73869, 92603, 26737, 333, 7001, 1579, 1163, 766, 86, 33758, 23334, 86, 3818, 647, 371, 4101, 647, 81, 395, 3818, 73794, 73794, 58864, 73794, 86, 61811, 44966, 86, 2207, 351, 22087, 798, 21512, 4337, 9959, 6059, 467, 2305, 8719, 747, 372, 375, 271, 18175, 18977, 23647, 12643, 1197, 86, 7294, 54831, 12385, 13785, 4368, 4317, 383, 25655, 26949, 490, 265, 550, 51730, 16335, 455, 7231, 1371, 32175, 65, 2717, 13, 24209, 31722, 1952, 1527, 71832, 15969, 268, 2030, 30512, 1902, 42189, 28122, 423, 71, 29802, 1517, 15398, 64857, 17312, 74857, 13, 1527, 71832, 471, 2030, 30512, 1902, 42189, 28122, 423, 71, 29802, 1517, 285, 20048, 10928, 14047, 140463, 28494, 3491, 2301, 3893, 21545, 529, 12643, 382, 6464, 1241, 16034, 3841, 72, 932, 304, 25987, 535, 25, 3303, 619, 4775, 12, 18510, 5840, 908, 2685, 371, 732, 521 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1543, 17739, 34387, 18166, 26109, 6616, 61217, 1863, 1704, 50753, 8948, 93094, 835, 20416, 17029, 13, 45481, 3371, 84687, 61286, 713, 1863, 1704, 50753, 25444, 1579, 5999, 52434, 2746, 358, 8485, 9394, 31477, 1147, 590, 130337, 13, 8408, 35346, 56539, 17246, 50753, 261, 2410, 301, 9160, 4724, 277, 320, 265, 54327, 8, 2030, 51532, 674, 529, 1863, 2636, 1194, 320, 15880, 11, 84732, 431, 1963, 1260, 11, 35346, 56539, 17246, 50753, 261, 1079, 619, 4775, 39620, 437, 371, 34387, 18166, 8, 9979, 89, 1960, 52716, 18078, 1387, 304, 5616, 21506, 61805, 336, 11, 4443, 2694, 18069, 896, 6996, 28122, 7070, 7291, 645, 387, 91615, 1126, 71, 12495, 382, 40369, 2770, 64, 3760, 11, 22900, 76, 6128, 67232, 63473, 3818, 7219, 2746, 90817, 668, 11, 6616, 94919, 1032, 85577, 29695, 473, 83, 68748, 38834, 529, 12643, 67594, 624, 32, 331, 773, 11, 1083, 7416, 267, 13906, 650, 39720, 1100, 1268, 465, 7577, 49189, 38132, 2694, 46954, 458, 422, 98280, 5999, 82664, 10928, 17058, 71126, 140917, 7180, 41235, 1230, 29898, 8535, 11, 19104, 19767, 11855, 2694, 342, 4671, 5342, 13, 2362, 83126, 333, 301, 9544, 10638, 19104, 13785, 37400, 83, 74565, 11, 14948, 1531, 25494, 36077, 15025, 1466, 94213, 50095, 5999, 11, 14948, 8725, 5451, 88787, 1032, 85577, 1494, 17029, 10712, 5451, 773, 17443, 60404, 267, 273, 1571, 11, 51939, 4368, 18069, 1323, 1387, 5451, 2429, 77356, 21631, 408, 645, 24585, 16722, 775, 71, 406, 52434, 25494, 36077, 18520, 624, 53, 13029, 90796, 7272, 5999, 8652, 2746, 1230, 138644, 50499, 13, 59490, 2746, 4377, 48323, 2863, 723, 2030, 4582, 17029, 11, 93096, 9911, 8652, 2030, 10638, 15719, 40870, 6185, 40399, 16789, 15141, 5840, 796, 50656, 13, 25861, 35141, 8793, 2860, 19349, 11, 35141, 31357, 63165, 64487, 57396, 11595, 56946, 5186, 42888, 11, 2746, 46954, 12583, 12222, 13279, 8652, 624, 3036, 388, 13279, 2860, 25, 25861, 35141, 16034, 1644, 50656, 25531, 34368, 2860, 62459, 320, 1241, 6616, 10928, 67058, 20048, 48643, 2694, 1527, 8221, 1404, 87231, 8793, 7100, 632, 62459, 2030, 21982, 98317, 47708, 19154, 268, 320, 34889, 12583, 11937, 42046, 34368, 8641, 12222, 53555, 27941, 1199, 7522, 701, 2746, 46954, 12643, 2429, 1527, 8221, 1404, 2030, 50041, 59228, 78722, 19985, 932, 650, 3004, 67056, 30203, 3818, 44048, 548, 90930, 17029, 2030, 10638, 35141, 74054, 2739, 2172, 10316, 11, 14948, 12788, 20096, 34098, 293, 2717, 2030, 308, 941, 1494, 17029, 13, 1863, 1785, 13, 10928, 11, 14948, 2429, 1527, 8221, 1404, 308, 941, 1494, 17029, 320, 89, 1785, 13, 4368, 46954, 93876, 2030, 17760, 2574, 76716, 524, 422, 1003, 465, 701, 2714, 8793, 6538, 17443, 38684, 7219, 709, 74, 2863, 723, 14821, 2694, 24929, 625, 2956, 37592, 6772, 38805, 32936, 3184, 17454, 8896, 601, 86, 624, 28671, 11937, 11, 650, 3004, 67056, 30203, 3818, 11, 34542, 22075, 2746, 46954, 34699, 3371, 422, 12153, 19767, 11855, 47708, 75, 30203, 3818, 13785, 376, 8535, 12643, 13, 36574, 2694, 1527, 8221, 1404, 34542, 66809, 13, 38897, 46954, 17033, 36651, 8896, 11937, 26252, 96382, 72101, 81, 3092, 7219, 38897, 46954, 17033, 268, 11, 1147, 10110, 4979, 25131, 16053, 66809, 13, 10638, 35141, 74054, 2739, 2172, 10316, 11, 14948, 2714, 6616, 8793, 9421, 23333, 11687, 624, 13394, 66653, 10712, 13279, 15244, 268, 21631, 724, 375, 713, 14348, 3591, 15795, 13368, 5943, 2011, 575, 13, 2305, 13, 23738, 10638, 2746, 46954, 13279, 8652, 47708, 125462, 64513, 273, 2030, 2694, 1527, 8221, 1404, 24929, 7364, 15359, 529, 59765, 40870, 458, 42477, 268, 15719, 624, 22171, 647, 16568, 321, 6538, 330, 18982, 2030, 13785, 541, 55928, 29413, 76716, 524, 17630, 1, 3371, 2746, 8105, 83902, 268, 10712, 74227, 6433, 647, 16568, 321, 9421, 71126, 328, 4865, 17630, 11, 20112, 33827, 10638, 8793, 13, 25861, 34368, 6712, 31357, 1032, 2125, 2185, 304, 2694, 13225, 579, 1579, 11, 51290, 2994, 20572, 2030, 12222, 2994, 20572, 13, 8408, 68042, 28275, 665, 457, 9421, 71126, 328, 4865, 20048, 17760, 2574, 1083, 8793, 7219, 94873, 674, 268, 12643, 624, 19957, 15687, 752, 6308, 11, 15687, 74492, 1944, 4368, 293, 433, 12917, 8085, 778, 28064, 87818, 39537, 54749, 10712, 4368, 2435, 283, 631, 3591, 267, 273, 1571, 30, 13093, 268, 440, 11, 14948, 1531, 2994, 8793, 12222, 4443, 6250, 2172, 360, 713, 26612, 11, 51290, 10928, 4443, 1333, 791, 1003, 14033, 2030, 83279, 2257, 26612, 39264, 13, 4724, 60404, 267, 273, 1571, 14821, 6616, 431, 57, 72170, 93395, 8793, 8641, 70984, 29095, 1440, 12495, 2030, 22075, 2429, 9820, 38650, 42339, 665, 44849, 20826, 39264, 11, 10464, 83, 6616, 3731, 1241, 12070, 39537, 54749, 4368, 624, 3707, 8602, 52549, 773, 4368, 60404, 267, 273, 1571, 38805, 54548, 4808, 7073, 10712, 10638, 11, 6616, 5999, 72734, 13, 36574, 1333, 791, 1003, 14033, 2030, 83279, 2257, 26612, 481, 6616, 5999, 68876, 2694, 393, 43226, 11, 23738, 10638, 2770, 64, 3760, 11, 5451, 40283, 13111, 4377, 70336, 6395, 10246, 4370, 11, 9911, 383, 2746, 51333, 665, 89005, 624, 58461, 312, 4865, 41235, 7465, 3831, 43438, 668, 325, 1199, 939, 1032, 2125, 388, 2030, 732, 5699, 4659, 76, 15795, 14785, 5999, 4368, 834, 8801, 1032, 85577, 10928, 58052, 48323, 2863, 723, 13, 25861, 34368, 6712, 11937, 88028, 8793, 305, 1241, 13820, 12385, 17790, 18520, 1032, 2125, 11595, 1079, 12353, 11, 1538, 29937, 444, 91639, 15719, 10638, 1083, 10928, 5451, 1059, 73052, 3821, 21673, 3406, 1442, 11595, 13785, 1323, 91639, 9338, 38025, 440, 11, 10638, 27726, 12222, 26769, 47404, 81671, 11, 2030, 2994, 4116, 2746, 72131, 74565, 14948, 2746, 6079, 48376, 477, 32863, 5999, 13, 16887, 28789, 38684, 5948, 5999, 458, 42477, 82, 10928, 6538, 330, 8747, 1704, 29413, 9433, 16789, 15141, 74, 2185, 1, 2746, 72131, 11, 572, 34368, 30632, 82816, 58325, 17029, 14821, 624, 70194, 10638, 6616, 65681, 2739, 84884, 27726, 35141, 2714, 6616, 10928, 34368, 54459, 8793, 13, 12741, 21631, 798, 383, 652, 320, 258, 36744, 14785, 2694, 312, 2125, 2185, 778, 331, 38013, 10938, 2362, 7052, 8, 11834, 7997, 139115, 59228, 61291, 422, 7783, 11169, 12646, 263, 627, 796, 50656, 2030, 5451, 422, 1003, 52591, 65, 3891, 932, 87488, 10938, 6250, 376, 70668, 3647, 331, 742, 38809, 481, 462, 73607, 13, 12741, 21631, 724, 375, 28064, 261, 320, 16055, 276, 8221, 1404, 8, 15719, 732, 52747, 14785, 11937, 7364, 8793, 7219, 2746, 47708, 75, 30203, 301, 1960, 46954, 84911, 265, 55339, 11, 1083 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10928, 1147, 13, 425, 13, 31357, 20004, 74, 60730, 13785, 14410, 79, 13, 46954, 220, 13820, 22837, 624, 32, 652, 53797, 27298, 1531, 289, 7294, 71593, 16074, 723, 7256, 60423, 72313, 28122, 15862, 12543, 11595, 7530, 258, 41210, 25620, 896, 7256, 51939, 28086, 16809, 665, 457, 5468, 18175, 7355, 32997, 2185, 939, 4388, 40681, 5999, 2746, 28822, 5166, 4443, 4368, 312, 579, 2185, 49341, 2030, 11122, 71, 51663, 1644, 50656, 458, 3371, 425, 31261, 6395, 97035, 21673, 13, 14133, 83801, 883, 40662, 20112, 32030, 11, 3201, 78, 70336, 13, 36574, 28883, 40662, 1081, 3092, 61286, 275, 6395, 17630, 320, 68, 1330, 20175, 136508, 8, 76120, 12755, 883, 883, 1528, 6975, 331, 133406, 30512, 65, 84384, 331, 2185, 624, 54, 33758, 8151, 2391, 12032, 15719, 9820, 51327, 24716, 12063, 73202, 15141, 38132, 19349, 11, 2746, 3371, 4388, 562, 10080, 14383, 1387, 30632, 3647, 268, 5840, 11, 19104, 8793, 55813, 220, 44146, 11687, 624, 3430, 318, 88361, 2712, 49802, 357, 766, 268, 8793, 12222, 12222, 2746, 472, 90360, 93644, 56400, 408, 17790, 25494, 52287, 13, 5649, 450, 10638, 304, 2823, 1070, 2030, 16549, 343, 8793, 773, 88700, 301, 303, 624, 18175, 7355, 32997, 2185, 939, 4388, 40681, 5999, 2746, 28822, 5166, 4443, 4368, 312, 579, 2185, 49341, 2030, 11122, 71, 51663, 1644, 50656, 458, 3371, 425, 31261, 6395, 97035, 21673, 624, 32, 1387, 22075, 48803, 82276, 75, 4003, 73202, 134662, 537, 40231, 343, 4116, 11, 8896, 2694, 30682, 78400, 1531, 25494, 17859, 7219, 3371, 393, 43226, 3893, 85426, 624, 17360, 27298, 68378, 268, 11, 304, 69507, 73794, 5699, 37633, 8793, 312, 4865, 11, 8151, 713, 3371, 22539, 66107, 42888, 30022, 17149, 8896, 13, 8408, 467, 14136, 2185, 6538, 73794, 5999, 10928, 8793, 773, 8688, 458, 39416, 408, 11, 13368, 2746, 6538, 18482, 1387, 624, 17360, 14821, 10928, 8793, 2746, 386, 783, 2185, 30632, 3893, 42316, 11, 330, 15407, 11687, 8641, 58052, 7180, 434, 6207, 85, 17391, 266, 732, 467, 61194, 274, 39563, 3263, 8408, 8185, 40188, 3893, 2024, 645, 7964, 268, 425, 31261, 274, 5467, 26824, 2994, 10928, 54064, 8641, 9421, 18131, 802, 268, 5016, 28698, 2694, 2823, 1070, 14047, 89005, 4443, 14047, 89, 810, 12032, 11, 7060, 2994, 6616, 422, 610, 2694, 70264, 71, 273, 668, 94873, 674, 268, 8896, 13, 43997, 1531, 8793, 330, 1107, 22087, 2694, 22087, 11, 6616, 1435, 1014, 10559, 16840, 1, 4116, 11, 282, 78120, 2746, 1032, 67726, 87488, 408, 9421, 624, 713, 29695, 26269, 304, 2694, 2869, 21558, 11, 4443, 2694, 55857, 15113, 6395, 1197, 709, 12032, 11, 434, 2636, 75, 56780, 68, 19767, 18482, 1387, 306, 69936, 21982, 4388, 10451, 9421, 89, 360, 2956, 11759, 624, 74909, 5999, 1531, 41488, 3841, 93289, 28086, 36077, 6395, 8185, 40188, 13, 16358, 1070, 50568, 13473, 140600, 15113, 55879, 1531, 11, 22075, 10638, 23273, 67519, 2714, 6130, 485, 11, 46668, 37419, 28086, 18520, 69, 610, 13, 25861, 7180, 38486, 11, 15269, 276, 12643, 16111, 6975, 10928, 22539, 84251, 12495, 47827, 624, 32, 652, 4443, 2746, 67232, 96815, 2122, 6395, 387, 69046, 268, 13, 25861, 320, 2082, 69, 61673, 16315, 9979, 2986, 3371, 4388, 10451, 67519, 11806, 1960, 11, 5999, 8652, 752, 380, 6395, 4443, 47635, 6772, 2030, 20112, 32030, 1531, 304, 2694, 97504, 8793, 13, 2009, 68627, 9979, 2986, 10638, 40662, 38805, 54064, 11, 22075, 44390, 425, 31261, 320, 16123, 9911, 67058, 732, 38996, 67519, 137943, 11460, 8, 304, 67703, 60054, 268, 7219, 2429, 22869, 89, 2694, 1863, 858, 268, 2444, 5679, 11, 12385, 87262, 1126, 11, 23738, 9911, 26269, 55857, 15113, 1187, 28421, 19767, 41235, 11460, 76178, 90591, 13920, 6395, 12643, 13, 18069, 12385, 40462, 18482, 1387, 267, 78940, 3595, 89, 16030, 2994, 28086, 2746, 1527, 46728, 2694, 311, 1960, 425, 31261, 83630, 6772, 13, 21766, 2429, 18078, 268, 320, 16123, 10638, 22318, 41658, 296, 1777, 8, 51528, 25531, 76720, 14226, 1230, 2672, 383, 2030, 362, 1362, 11567, 4370, 304, 6616, 42514, 624, 54370, 19489, 266, 2071, 16034, 4388, 10451, 27726, 10638, 17790, 31357, 41663, 74374, 14410, 8666, 3818, 11, 289, 15422, 72, 9089, 6616, 37699, 12709, 93016, 14821, 11, 10638, 4116, 12743, 932, 384, 74122, 28421, 18083, 144534, 198, 54, 7294, 6616, 11426, 62937, 35225, 11, 2746, 5388, 461, 13820, 1967, 275, 267, 6712, 11, 17790, 2746, 3184, 36616, 6538, 32618, 490, 13129, 268, 17630, 53797, 7107, 12543, 11595, 624, 32003, 16942, 3342, 6772, 1147, 590, 21545, 6433, 3651, 551, 554, 46716, 5999, 1531, 10928, 76171, 11, 732, 14785, 36108, 22869, 642, 4116, 6616, 10487, 65, 282, 1466, 2381, 2305, 778, 51663, 8536, 17454, 2030, 3845, 77528, 6386, 723, 2257, 13, 151643, 87876, 1527, 539, 46621, 6538, 20004, 131807, 799, 77, 14, 1282, 20218, 932, 2030, 91896, 50244, 28698, 7180, 2746, 23276, 331, 22385, 11, 51939, 98308, 645, 14821, 19767, 14787, 23455, 220, 44146, 11687, 624, 2715, 5242, 472, 45329, 198, 1425, 590, 4487, 13985, 261, 320, 18175, 451, 22181, 1933, 68, 340, 2715, 5242, 472, 45329, 11, 34624, 1984, 524, 220, 16, 24, 20, 16, 2030, 6538, 472, 3454, 9421, 17210, 4487, 13985, 261, 11, 387, 14847, 267, 9089, 5451, 3371, 23388, 7459, 268, 2694, 3240, 27997, 13, 19000, 89931, 2245, 23318, 939, 5672, 316, 8155, 50958, 730, 1003, 53113, 69499, 49536, 2429, 24209, 1387, 11, 13785, 1967, 4865, 65, 2717, 268, 11, 83801, 6250, 709, 661, 2185, 13279, 65314, 23692, 17454, 2030, 2746, 25714, 54594, 2185, 14047, 39416, 7272, 12042, 39470, 11, 10230, 495, 2956, 2660, 74227, 661, 2305, 3821, 268, 13, 96520, 220, 16, 24, 24, 18, 2922, 351, 17029, 9089, 5242, 472, 45329, 7180, 468, 4160, 745, 96918, 11, 4368, 77742, 98213, 151643, 89619, 2008, 8012, 481, 308, 12, 4153, 2285, 11, 220, 16, 17, 11, 24, 20, 12984, 198, 89619, 2008, 5235, 8012, 220, 17, 15, 16, 24, 198, 80593, 220, 16, 15, 15056, 9820, 50368, 20005, 60021, 54594, 7256, 8012, 13, 444, 2305, 50900, 9089, 13012, 268, 304, 2694, 137208, 2739, 58158, 2030, 8896, 4368, 26964, 3658, 328, 3048, 13, 8495, 426, 6013, 44275, 71593, 2305, 426, 9421, 2030, 18060, 572, 9911, 22589, 11, 2746, 431, 2391, 1371, 13279, 36077, 11840, 811, 13906, 49371, 71, 11042, 2185, 5699, 28658, 5679, 624, 7339, 1263, 8012, 6538, 45255, 75594, 2030, 6616, 7180, 15462, 55813, 19463, 77, 60939, 13, 2055, 14821, 1531, 69876, 13, 19000, 98863, 6817 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 86899, 883, 13279, 37742, 5396, 65025, 30670, 624, 50, 11042, 83, 17859, 11, 86899, 5699, 865, 9421, 2030, 5699, 28658, 11687, 34699, 11840, 811, 13, 8408, 8012, 5999, 60021, 54594, 343, 2739, 59908, 295, 2030, 67058, 7219, 92610, 3145, 68989, 4368, 472, 287, 24370, 624, 30416, 10638, 10928, 84701, 45255, 5992, 1320, 645, 709, 11, 6368, 267, 26769, 8012, 2256, 53797, 89063, 40369, 489, 424, 82664, 10928, 16942, 1046, 8641, 9820, 32936, 8012, 11, 2994, 10638, 95710, 27726, 11, 19104, 26769, 93096, 6395, 81212, 73787, 14668, 13, 33328, 60297, 22075, 10638, 1079, 2988, 645, 4370, 9544, 13, 71161, 9911, 5999, 5699, 37633, 2030, 8896, 90039, 27431, 15462, 7010, 268, 11913, 13, 2308, 331, 53797, 5999, 9911, 5699, 44704, 11, 572, 21506, 362, 900, 268, 6395, 81212, 21491, 97463, 23559, 7964, 93096, 13, 320, 50, 62713, 8652, 37699, 67382, 8793, 86028, 5999, 31357, 13452, 1371, 549, 47, 1727, 80593, 3371, 60939, 8896, 9911, 10928, 9820, 2256, 98060, 0, 91452, 14047, 18520, 17392, 3128, 13518, 81625, 13, 2429, 668, 2030, 6395, 14804, 7522, 304, 71126, 3089, 35524, 6899, 87895, 320, 9522, 350, 2807, 8, 8896, 9911, 34749, 3377, 2030, 98060, 2755, 59493, 13, 45481, 23273, 4116, 9911, 3371, 58154, 4368, 450, 332, 343, 289, 529, 624, 70911, 267, 10928, 7219, 41235, 64894, 15897, 7522, 89063, 53, 24619, 43365, 1494, 268, 8652, 88028, 87262, 45702, 8793, 12385, 53835, 5699, 1112, 13279, 8652, 9421, 13, 36574, 26769, 8012, 6368, 267, 21784, 17149, 6538, 2694, 3377, 1059, 2030, 2994, 10638, 45255, 12, 5992, 1320, 645, 709, 11, 6368, 267, 2746, 8012, 10928, 6395, 88787, 2573, 13, 19000, 86028, 5451, 2429, 30052, 44096, 1704, 27684, 78120, 8652, 10928, 25494, 17859, 2030, 10638, 572, 1528, 44390, 43365, 24396, 16053, 408, 2574, 304, 2694, 3089, 35524, 6899, 87895, 13, 23980, 8896, 9911, 37699, 10928, 28086, 18520, 485, 19396, 4368, 79810, 97369, 13785, 273, 12755, 13, 151643, 35, 39129, 17790, 4368, 24285, 1543, 9354, 301, 7477, 12, 10724, 13, 38747, 15719, 883, 2746, 9740, 631, 11063, 2185, 11, 2746, 98175, 2636, 76, 10938, 68683, 301, 22385, 11, 16807, 13177, 613, 14668, 2030, 10928, 732, 66968, 44492, 9820, 50750, 82, 2125, 58498, 53835, 13, 16887, 10638, 44390, 7746, 21506, 49662, 2694, 10147, 331, 135786, 11, 4368, 93395, 3638, 872, 305, 7073, 261, 46690, 377, 11, 14948, 6616, 2746, 1597, 441, 13830, 19349, 67594, 13, 74303, 9544, 10638, 8652, 8793, 11, 19104, 10638, 2770, 64, 3760, 8641, 15269, 276, 13, 151643, 20, 13, 19, 13, 17, 13, 69176, 263, 74, 37369, 760, 22611, 47203, 704, 198, 52, 665, 8907, 303, 83, 220, 16, 198, 16, 730, 79870, 7180, 479, 1872, 2305, 74, 37369, 11, 15545, 64321, 2576, 74, 79870, 372, 472, 5054, 320, 52279, 1574, 701, 472, 5054, 320, 52279, 1574, 701, 9856, 198, 87876, 29618, 1279, 8579, 3246, 960, 14821, 6538, 28924, 268, 2030, 52716, 10991, 129602, 6433, 10712, 4368, 37146, 1656, 559, 1659, 1967, 65, 1117, 1330, 88718, 85227, 1984, 268, 46646, 13, 8495, 76133, 267, 13279, 3371, 425, 8804, 25651, 268, 3000, 268, 8345, 6712, 48686, 968, 5342, 9421, 13, 8408, 91970, 22385, 14821, 752, 380, 5451, 17443, 4184, 266, 2071, 6250, 97761, 2030, 93328, 5451, 1967, 12487, 11, 8495, 13920, 372, 2030, 58583, 438, 704, 89, 3808, 529, 13, 362, 900, 261, 325, 1199, 64015, 6616, 8674, 220, 20, 12009, 1466, 416, 12, 52491, 652, 273, 7964, 13279, 29618, 1279, 7219, 59785, 6538, 2869, 2391, 1923, 74, 2667, 2185, 2030, 6481, 268, 14612, 437, 37949, 704, 560, 268, 304, 3371, 66968, 37419, 89, 2636, 42469, 304, 44979, 7219, 220, 21, 21, 4, 13279, 47610, 2030, 220, 21, 16, 4, 13279, 386, 62968, 932, 98038, 529, 12643, 508, 16, 936, 8408, 4087, 343, 10938, 82745, 6538, 22463, 29413, 48985, 273, 65, 19875, 282, 50753, 665, 6395, 17058, 98175, 2636, 76, 19875, 6250, 57396, 2185, 2694, 63318, 306, 21673, 467, 15113, 25402, 76, 2185, 2694, 9740, 9855, 1180, 2185, 13, 5004, 26769, 14840, 304, 2746, 220, 16, 24, 22, 15, 261, 12009, 1466, 265, 17790, 37146, 5651, 9241, 17029, 11, 23952, 395, 9820, 133661, 46728, 2694, 48686, 51960, 665, 752, 45329, 11, 364, 4905, 30875, 7256, 444, 82040, 6, 511, 3591, 732, 5665, 23318, 2694, 28924, 268, 11, 8896, 9089, 304, 3371, 66968, 37419, 89, 2636, 42469, 4368, 83630, 95285, 547, 2277, 268, 2712, 19767, 4188, 61007, 13, 9236, 98421, 8793, 12222, 9820, 25714, 77131, 2185, 2154, 69, 37633, 11, 51290, 28924, 268, 17630, 1147, 87205, 6616, 1032, 13920, 11, 458, 22450, 391, 645, 805, 57926, 11595, 5451, 25655, 86, 404, 2712, 13, 60423, 2746, 6481, 268, 3264, 3591, 12583, 28924, 268, 48614, 42046, 2714, 20491, 359, 6772, 17859, 13785, 34749, 9740, 9855, 1180, 2185, 6051, 17029, 13, 55448, 14821, 5451, 2429, 61150, 91970, 87818, 81936, 41203, 42603, 98175, 2636, 76, 408, 87533, 4443, 709, 46014, 268, 11, 572, 9089, 458, 17058, 467, 6712, 6538, 28924, 268, 68091, 2628, 2694, 66968, 40462, 37419, 89, 2636, 23446, 16034, 61150, 91970, 22385, 799, 69, 74374, 2030, 91970, 87818, 423, 59908, 2185, 77509, 624, 20, 13, 19, 13, 17, 13, 16, 13, 8408, 92979, 2694, 69176, 263, 74, 37369, 2030, 87862, 47938, 46745, 6566, 75509, 665, 198, 78184, 958, 263, 74, 37369, 10712, 58325, 63657, 467, 79748, 80129, 301, 665, 9089, 732, 66968, 422, 1003, 22924, 939, 220, 17, 15, 13, 37419, 71, 1241, 15546, 13, 44462, 393, 290, 1268, 258, 69499, 11387, 73596, 356, 13, 37815, 11, 2746, 220, 16, 24, 23, 19, 2746, 7179, 69176, 23620, 1016, 2449, 13278, 320, 40, 17456, 8, 1081, 34271, 7714, 13, 69176, 263, 74, 37369, 41852, 56539, 17917, 9089, 13906, 60297, 5451, 57519, 1634, 87176, 1960, 2694, 9740, 9855, 1180, 2185, 29618, 1279, 25, 3371, 8671, 436, 316, 3605, 7522, 11, 3371, 1757, 266, 3721, 5641, 17739, 39307, 3371, 8671, 436, 9510, 530, 268, 20004, 86, 14136, 11595, 624, 30124, 263, 304, 2694, 6755, 2970, 55879, 1531, 732, 89507, 2694, 364, 2304, 71, 265, 2694, 57093, 328, 2305, 63319, 6, 33328, 41137, 11595, 6395, 8671, 436, 316, 3605, 7522, 76604, 71, 25423, 268, 47226, 45804, 320, 21062, 11455, 2986, 479, 5054, 8, 2030, 29618, 1279, 13, 758, 3371, 220, 16, 24, 23, 15, 261, 12009, 21176, 55879, 1531, 9820, 83141, 383, 6538, 7659, 3591, 16034, 61150, 364 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42, 265, 5417, 388, 23348, 88185, 516, 2429, 274, 11706, 276, 42469, 17518, 355, 3261, 18103, 316, 14030, 355, 11, 9820, 19767, 4182, 42603, 6395, 45804, 2030, 48686, 81, 1389, 29159, 3612, 19358, 2185, 1161, 51767, 13229, 13820, 20465, 23348, 88185, 13, 18069, 4368, 450, 332, 7272, 76604, 20658, 64015, 60637, 8793, 14047, 37285, 93840, 12643, 13, 17235, 436, 316, 69022, 1634, 375, 40951, 2694, 29618, 1279, 306, 267, 2636, 2185, 11, 1640, 9433, 70439, 50468, 2030, 45804, 268, 11, 12643, 60637, 6538, 28924, 268, 137943, 10712, 70038, 1777, 54649, 9740, 9855, 1180, 2185, 458, 4370, 46646, 13, 83126, 333, 301, 2301, 5999, 5451, 17443, 59801, 2956, 426, 268, 91970, 87818, 12, 2030, 26063, 652, 285, 23630, 6395, 312, 2125, 268, 11, 22075, 511, 301, 10559, 50468, 23647, 17058, 325, 1199, 6395, 14410, 1241, 22385, 6772, 336, 53363, 1579, 1975, 35505, 50232, 1440, 11, 13368, 1147, 1785, 13, 1674, 74, 2267, 337, 36519, 21573, 354, 258, 1831, 14383, 1387, 11, 37210, 791, 2185, 3563, 17281, 12385, 30512, 7725, 365, 4865, 11, 2030, 61805, 261, 325, 1199, 10991, 92918, 17312, 2869, 2391, 1923, 74, 2667, 2185, 6538, 29618, 1279, 650, 4370, 89002, 90556, 13, 55448, 27298, 1531, 9820, 83141, 383, 6538, 8671, 603, 2798, 12543, 359, 1609, 17739, 7659, 3591, 11, 2746, 15462, 4184, 266, 2071, 18069, 1489, 1854, 6538, 25986, 285, 2407, 50468, 7219, 6616, 66235, 8948, 387, 48414, 13, 23980, 67594, 13906, 60297, 13279, 29618, 65, 799, 9855, 1180, 11595, 9820, 30976, 273, 58237, 11, 2746, 15462, 2922, 268, 76604, 20658, 16034, 66235, 8948, 7219, 896, 23129, 13, 8408, 7659, 3591, 55754, 5999, 12412, 25655, 60637, 6185, 258, 22385, 6772, 13, 29618, 1279, 14821, 304, 2694, 25471, 2628, 304, 2714, 3667, 8564, 645, 10712, 61287, 9913, 13601, 613, 2739, 1723, 84642, 9740, 9855, 1180, 2185, 41852, 73461, 11, 23952, 395, 2694, 28275, 73869, 17058, 7491, 7997, 42153, 6772, 8671, 436, 316, 3605, 7522, 9316, 2367, 25494, 83758, 50837, 5999, 13, 6521, 261, 20465, 23348, 6772, 440, 1199, 1174, 16017, 1574, 17790, 50468, 12385, 4148, 673, 344, 36614, 16540, 42469, 10712, 97168, 44275, 81070, 1279, 423, 1723, 610, 10938, 434, 9913, 23647, 4368, 450, 332, 343, 387, 71168, 12643, 13, 2009, 68627, 10246, 7997, 9089, 4368, 76604, 20658, 47226, 75260, 14408, 336, 773, 89, 815, 76791, 14274, 285, 2407, 8104, 2030, 29618, 1279, 14047, 896, 23129, 11, 2694, 9089, 60637, 8793, 13279, 50041, 350, 372, 68525, 64321, 1960, 29003, 28064, 1728, 26824, 77509, 624, 20250, 261, 1757, 266, 3721, 5641, 17739, 76604, 71, 25423, 268, 12583, 8671, 10559, 39455, 4370, 2694, 29618, 65, 799, 9855, 1180, 2185, 2030, 481, 1371, 10661, 37949, 6395, 85104, 40697, 13368, 14269, 261, 27604, 673, 11, 7416, 267, 11, 45804, 11, 1527, 6385, 28122, 267, 9416, 2185, 11, 25348, 21945, 11, 595, 50449, 1967, 83214, 3563, 5744, 11595, 575, 5849, 13, 8408, 138971, 831, 16597, 6538, 595, 13129, 87818, 54594, 6433, 8671, 17739, 794, 9416, 11595, 26109, 304, 17058, 67703, 7659, 645, 508, 17, 60, 5451, 13785, 220, 19, 13, 15, 15, 15, 28924, 268, 304, 17058, 220, 19, 13002, 54536, 12, 3533, 2305, 831, 16597, 5451, 1148, 676, 220, 18, 17, 4, 2714, 23692, 3818, 13, 2823, 13536, 426, 883, 28924, 268, 5451, 5147, 88, 303, 441, 35649, 7828, 559, 11595, 13368, 1147, 1785, 13, 52193, 129579, 465, 794, 12543, 2185, 12385, 48686, 968, 15795, 5451, 4368, 11, 773, 59801, 2956, 426, 9089, 2746, 138971, 831, 16597, 7219, 13785, 220, 20, 15, 14360, 47436, 28924, 268, 5451, 5147, 88, 303, 441, 35649, 794, 9416, 11595, 312, 331, 8935, 529, 6433, 5166, 2030, 20004, 1728, 7997, 2694, 11375, 79697, 266, 1579, 17790, 31357, 60082, 539, 46621, 6395, 17058, 7767, 3246, 960, 14047, 2694, 6489, 268, 20115, 17739, 730, 447, 48672, 367, 2694, 91970, 89249, 2030, 31100, 437, 465, 20404, 1241, 87818, 776, 891, 2660, 320, 1317, 35, 1215, 26769, 28924, 268, 74453, 3371, 76018, 10712, 1656, 559, 295, 85227, 1984, 268, 46646, 2030, 87488, 408, 41011, 263, 74, 1609, 16053, 2148, 273, 41538, 12643, 624, 20250, 261, 8671, 436, 9510, 530, 268, 7828, 559, 11595, 12643, 20004, 86, 14136, 11595, 389, 74, 1609, 32708, 9740, 9855, 1180, 11595, 7219, 6616, 14410, 309, 665, 773, 89, 19893, 23334, 30102, 2694, 28924, 268, 2739, 84884, 11, 13368, 1147, 1785, 13, 2746, 30976, 273, 304, 2694, 88537, 2030, 2746, 24209, 1775, 2185, 6538, 52159, 3591, 844, 129602, 6433, 11, 1634, 375, 40951, 939, 10207, 1704, 21673, 467, 1122, 485, 6308, 645, 5857, 2030, 2694, 87878, 15671, 74303, 2185, 39307, 20004, 86, 14136, 11595, 7219, 2746, 773, 89, 19893, 22507, 36614, 2030, 3371, 9740, 39416, 6538, 9460, 14274, 645, 624, 20, 13, 19, 13, 17, 13, 17, 13, 69176, 263, 74, 37369, 732, 89507, 1147, 529, 333, 449, 1268, 465, 1863, 306, 1440, 198, 42, 3732, 36433, 11, 2746, 4368, 1147, 529, 333, 449, 17029, 288, 10762, 37137, 10721, 12385, 4368, 389, 74, 1609, 86957, 1863, 306, 10721, 14047, 3371, 57123, 3732, 3591, 2694, 1581, 60135, 29618, 1279, 4188, 69701, 384, 5058, 13, 21506, 35505, 11, 47827, 9820, 5841, 333, 33235, 13820, 41011, 263, 74, 1609, 10559, 24209, 1775, 2185, 14047, 896, 23129, 13, 2362, 72998, 268, 12583, 69176, 263, 74, 1609, 268, 10928, 304, 8671, 436, 9510, 530, 268, 29618, 1279, 652, 266, 28122, 58158, 2030, 304, 1032, 71, 585, 3732, 36433, 77868, 332, 64260, 13, 1863, 87205, 27298, 1531, 75260, 2375, 301, 395, 1952, 17235, 1609, 10559, 69176, 696, 2027, 13160, 5451, 41011, 263, 74, 1609, 32708, 58485, 20175, 1751, 48672, 367, 11, 2746, 15462, 47355, 2694, 8873, 360, 54834, 24209, 1775, 2185, 13785, 37060, 13, 12741, 2694, 29413, 7256, 13093, 59226, 458, 8873, 50735, 465, 13017, 64786, 2185, 6538, 13225, 57097, 316, 22722, 268, 13785, 5342, 17917, 6616, 1850, 2636, 10938, 81020, 60637, 2714, 383, 65, 6772, 13, 51310, 18520, 1645, 266, 7256, 467, 19840, 29413, 7180, 28924, 268, 5451, 41011, 336, 40864, 268, 7828, 559, 11595, 12385, 7364, 17058, 8671, 17739, 26692, 269, 20648, 36614, 2030, 5451, 342, 45124, 13, 342, 4671, 261, 65314, 261, 35608, 2185, 5999, 8793, 51721, 25402, 76, 2257, 13, 25481, 16053, 2714, 9855, 1180, 665, 28924, 268, 5451, 137943, 336, 1205, 90830, 47226, 8056, 13977, 261, 2030, 8873, 50735, 465, 24209, 1775, 2185, 74453 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 93328, 15462, 18859, 268, 38453, 61231, 36258, 11, 752, 380, 304, 2694, 16358, 332, 74, 79870, 11, 17630, 624, 20, 13, 19, 13, 17, 13, 18, 13, 69089, 304, 2694, 69176, 263, 74, 37369, 198, 18175, 41011, 263, 74, 1609, 10559, 24209, 1775, 2185, 732, 16358, 332, 9855, 89289, 31551, 4443, 14847, 267, 4368, 7828, 559, 2185, 778, 2191, 287, 2030, 11485, 17029, 9089, 458, 2694, 328, 18, 46168, 275, 3732, 645, 364, 78184, 958, 263, 74, 1609, 10559, 7767, 8208, 1579, 6, 2694, 70165, 64649, 1330, 20542, 7180, 69176, 263, 74, 37369, 2694, 1581, 60135, 29618, 1279, 4188, 69701, 384, 5058, 13, 70219, 276, 23446, 69089, 66368, 68, 12583, 1147, 1785, 13, 2694, 67232, 65, 11706, 17312, 7828, 559, 2185, 6538, 29618, 1279, 22722, 268, 31921, 42, 10911, 220, 16, 15, 2030, 31921, 42, 10911, 220, 17, 18, 11, 2746, 15079, 80369, 323, 45804, 24613, 320, 39, 49541, 9420, 8, 17312, 41663, 395, 2185, 6538, 7416, 267, 2030, 45804, 13279, 28924, 268, 5451, 595, 75024, 21673, 9740, 9855, 1180, 11595, 12385, 6616, 27604, 673, 70526, 4195, 20408, 13, 3874, 72998, 268, 20048, 10928, 607, 37667, 6070, 13820, 31467, 423, 96922, 16034, 84247, 58065, 11, 1147, 1785, 13, 2746, 41011, 263, 74, 1609, 10559, 69028, 67, 562, 1123, 367, 320, 2045, 7671, 28814, 568, 28924, 268, 11, 2746, 732, 69089, 13785, 2429, 38124, 30781, 529, 10246, 4370, 11, 74453, 7219, 53165, 14785, 4368, 41011, 263, 74, 1609, 86957, 13017, 64786, 28122, 844, 6331, 57984, 13, 28924, 268, 5451, 5093, 1362, 32251, 343, 336, 69089, 54594, 20048, 3371, 76018, 4368, 75260, 388, 65845, 6703, 288, 30601, 804, 4188, 649, 31573, 304, 38453, 649, 1387, 80617, 13, 1345, 301, 10559, 7828, 559, 11595, 20048, 8793, 12222, 14047, 7767, 3246, 960, 1763, 55632, 2185, 11, 51290, 6395, 94885, 30632, 268, 28831, 71865, 7906, 723, 85885, 13, 28924, 268, 11, 2746, 6395, 18597, 77, 2694, 9740, 9855, 1180, 2185, 6774, 440, 6250, 3612, 25423, 28122, 2660, 5658, 2142, 268, 7219, 896, 23129, 11, 76120, 7964, 8671, 10559, 7828, 559, 11595, 137943, 34368, 5451, 2694, 22450, 391, 645, 11, 2746, 6395, 17443, 357, 13977, 7052, 268, 91970, 87818, 709, 133666, 12385, 10928, 17058, 595, 75024, 21673, 6250, 57396, 2185, 320, 45702, 14101, 277, 423, 70979, 11, 30512, 9779, 26612, 11, 25348, 21945, 11, 342, 45124, 13, 10928, 3303, 13320, 268, 575, 5849, 6138, 50232, 1440, 15719, 13, 55448, 14047, 22080, 93383, 2694, 389, 74, 1609, 17739, 22450, 391, 645, 15719, 30632, 41557, 4368, 41011, 263, 74, 1609, 32708, 13017, 64786, 28122, 2721, 59226, 1850, 40697, 11, 1147, 1785, 13, 13279, 28924, 268, 5451, 17790, 8793, 668, 45061, 9379, 798, 91970, 87818, 423, 59908, 2185, 12385, 1032, 89, 307, 344, 25423, 15795, 624, 20, 13, 19, 13, 17, 13, 19, 13, 18078, 14184, 89249, 939, 11296, 2694, 16358, 332, 74, 79870, 198, 78184, 958, 263, 74, 1609, 268, 304, 16358, 332, 74, 3732, 36433, 796, 50656, 752, 380, 732, 89507, 6538, 730, 2382, 9538, 12, 12385, 444, 56467, 2111, 3591, 15795, 13, 69176, 263, 74, 1609, 10559, 7767, 8208, 1579, 2030, 70578, 268, 47827, 304, 3371, 38124, 5679, 2694, 4229, 42316, 89249, 2694, 16358, 332, 74, 79870, 53211, 4370, 13, 422, 39129, 142037, 510, 127533, 81548, 9820, 58325, 27265, 2986, 21491, 3556, 27097, 345, 36, 1330, 16789, 15141, 74, 11595, 2694, 83279, 2257, 26612, 2694, 28924, 268, 19767, 69987, 13906, 1923, 325, 49039, 546, 3680, 86, 65935, 22385, 17312, 1774, 76971, 17739, 7767, 8208, 1579, 12385, 14612, 437, 37949, 345, 36, 1330, 16789, 15141, 74, 11595, 732, 91741, 32997, 2030, 2694, 1333, 5742, 759, 46686, 13279, 4893, 674, 22837, 28924, 268, 11, 2746, 304, 54412, 90957, 89, 12543, 932, 10246, 4370, 345, 36, 1330, 16789, 15141, 74, 11595, 2694, 87727, 70449, 804, 136507, 50499, 19767, 1163, 1777, 535, 7786, 11, 362, 870, 1921, 11, 57101, 321, 12070, 76, 5744, 2185, 575, 5849, 624, 20, 13, 19, 13, 17, 13, 20, 13, 22450, 391, 645, 258, 11866, 665, 2030, 1863, 24619, 198, 78184, 958, 263, 74, 1609, 10559, 22450, 391, 645, 13536, 273, 12583, 575, 5849, 13, 510, 33, 365, 41203, 42603, 939, 56184, 14553, 2694, 7767, 3246, 960, 198, 6033, 3101, 27391, 6538, 595, 75024, 21673, 11375, 417, 6297, 320, 30124, 1174, 89, 11, 30512, 9779, 26612, 11, 49279, 2577, 267, 9416, 11595, 4992, 28175, 37, 9416, 1107, 2185, 2694, 1644, 11687, 9299, 16389, 15843, 19786, 70449, 367, 198, 20250, 261, 57849, 38132, 13279, 2694, 92979, 22665, 84, 7073, 24946, 287, 495, 1328, 3591, 198, 35, 39129, 58065, 387, 285, 2493, 2010, 41210, 9443, 58773, 70578, 268, 137943, 16034, 84247, 510, 77, 1122, 388, 65845, 6703, 68, 32345, 142126, 94650, 198, 3523, 268, 17312, 6250, 39416, 724, 2593, 48672, 367, 198, 51, 4738, 268, 805, 848, 46621, 2030, 479, 8398, 40951, 2362, 10353, 198, 45146, 958, 696, 26498, 10559, 18069, 27393, 12, 12385, 2825, 31832, 826, 288, 649, 94650, 320, 1149, 89, 54604, 732, 20037, 2694, 16358, 332, 74, 79870, 93395, 11806, 1960, 1931, 285, 1268, 2257, 340, 20, 13, 19, 13, 17, 13, 21, 13, 69176, 263, 74, 1609, 32708, 13017, 64786, 28122, 2721, 59226, 389, 74, 1609, 32708, 28924, 268, 198, 33, 46887, 84, 28122, 2721, 59226, 2030, 13017, 64786, 28122, 2721, 5186, 8822, 285, 12583, 60637, 8793, 25531, 595, 644, 2672, 306, 13, 28392, 12010, 75, 2667, 2030, 45515, 48414, 508, 18, 60, 2714, 91184, 1960, 458, 10661, 17058, 794, 713, 52329, 6538, 220, 16, 17, 23, 28924, 268, 11, 14948, 9089, 21506, 3371, 8671, 16053, 1656, 559, 33748, 28924, 268, 12222, 220, 18, 21, 4, 2694, 425, 8804, 25651, 268, 41011, 263, 74, 1609, 10559, 92660, 289, 66107, 42888, 13, 758, 38684, 7659, 3591, 47650, 434, 9913, 23647, 57686, 32030, 11, 58319, 2746, 758, 596, 649, 1387, 72164, 6538, 41011, 263, 74, 1609, 17739, 70578, 268, 143562, 13, 54068, 5999, 85227, 94213, 50095, 11, 22075, 198, 26493, 28924, 268, 502, 2391, 64067, 12583, 345, 78612, 4368, 139554, 288, 44492, 2185, 9613, 39219, 17630, 345, 34889, 91970, 87818, 267, 13478, 11845, 45061, 12153, 5999, 345, 62401, 74021, 9820, 42759, 6739, 41011, 73353, 1574, 7828, 559, 2185, 13906, 11567, 5178, 320, 1330, 9433, 70439, 7416, 267, 2030, 45804, 1326, 78612, 15462, 93395, 5306, 268, 2411, 1332, 3977, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 321, 39307, 4368, 342, 4671, 12917, 33875, 96049, 89, 709, 133666, 85239, 345, 78612, 9421, 794, 30875, 1960, 5451, 18520, 10712, 220, 16, 15, 15, 13, 15, 15, 15, 18069, 1126, 24134, 932, 58065, 624, 20, 13, 19, 13, 17, 13, 22, 13, 18372, 5679, 6538, 41011, 263, 74, 1609, 17739, 70578, 268, 198, 18175, 30022, 66362, 41011, 263, 74, 1609, 32708, 70578, 268, 7219, 350, 68261, 22722, 268, 12583, 304, 88687, 7659, 3591, 13906, 60297, 21506, 40462, 20404, 4865, 2154, 3122, 1960, 57686, 32030, 30179, 25, 16034, 15462, 305, 1330, 4865, 6772, 2694, 34903, 91647, 26612, 7219, 2746, 8671, 10559, 68378, 2694, 28924, 268, 2030, 1757, 275, 7219, 87862, 65314, 1751, 36614, 11, 16034, 38684, 732, 49633, 83820, 7219, 6616, 20404, 35225, 48985, 273, 7964, 624, 74909, 25655, 47650, 4368, 10294, 2030, 9820, 15819, 43703, 325, 19767, 133429, 508, 19, 1125, 4443, 2746, 468, 1301, 16597, 2694, 30022, 66362, 41011, 263, 74, 1609, 32708, 70578, 268, 6395, 57686, 44977, 13, 468, 8719, 1442, 3818, 47650, 1841, 48672, 4942, 53555, 14840, 47332, 75, 485, 30022, 66362, 7180, 18069, 27393, 12, 2030, 2825, 89097, 45146, 958, 696, 391, 645, 39307, 69176, 291, 3101, 367, 2030, 93395, 70984, 1626, 380, 7256, 30022, 66362, 19767, 350, 4738, 268, 805, 848, 46621, 13, 758, 1991, 288, 35225, 13703, 343, 1960, 96976, 485, 70578, 268, 2030, 28924, 268, 5451, 357, 13977, 7052, 268, 7828, 559, 11595, 15462, 74539, 17392, 66350, 624, 641, 86, 570, 68, 275, 24946, 287, 495, 1328, 3591, 12385, 41011, 263, 74, 1609, 10559, 70578, 268, 67952, 56505, 84858, 12583, 11, 512, 55874, 423, 75, 61673, 303, 6395, 16111, 2712, 11, 5999, 14047, 13368, 13906, 4443, 495, 22449, 13, 758, 2823, 72101, 7219, 15462, 22163, 70, 21673, 76604, 20658, 6538, 91970, 87818, 423, 59908, 2185, 2030, 49371, 273, 7964, 26109, 304, 4368, 6433, 7659, 3591, 4368, 20321, 1524, 18069, 1489, 1854, 939, 274, 11706, 276, 42469, 10805, 8913, 11, 1083, 17058, 59095, 1307, 802, 17739, 91970, 87818, 423, 59908, 2185, 11, 2030, 4368, 4184, 266, 1524, 305, 1330, 4865, 6772, 6538, 38596, 69, 12, 2030, 42722, 77, 28122, 2301, 50499, 81671, 13, 1597, 485, 7659, 3591, 2714, 91184, 1960, 79913, 18069, 1489, 1854, 6538, 24946, 287, 495, 1328, 3591, 7219, 6616, 467, 22181, 261, 9855, 89289, 2030, 6616, 49371, 273, 7964, 13, 9236, 25658, 28698, 9089, 60637, 49633, 41210, 11, 14948, 45804, 93395, 15462, 50490, 59391, 6433, 18069, 1489, 1854, 7219, 6616, 49371, 273, 7964, 8896, 11, 289, 15422, 72, 25986, 10559, 45804, 732, 76604, 20658, 54383, 5451, 17058, 64042, 1580, 2914, 6538, 35675, 59923, 39307, 25222, 850, 17739, 1298, 89, 38809, 2030, 1757, 275, 10712, 2340, 30875, 1579, 10980, 7180, 9820, 84187, 331, 54604, 1298, 4905, 960, 13279, 29618, 1279, 22722, 268, 624, 1806, 86, 1466, 94213, 6772, 5999, 9820, 20004, 86, 14136, 2185, 41011, 263, 74, 1609, 32708, 70578, 268, 7219, 6616, 49371, 273, 7964, 13, 1863, 11455, 47650, 304, 4368, 6433, 88768, 465, 268, 7659, 3591, 76604, 139101, 6395, 17443, 96976, 17392, 49371, 273, 7964, 81671, 11, 58319, 60637, 304, 87791, 268, 7659, 3591, 8793, 5791, 449, 17029, 12643, 16540, 42469, 13, 758, 2694, 25471, 2628, 14821, 9820, 11401, 301, 46728, 6538, 1714, 17739, 74890, 5676, 31008, 7659, 3591, 41852, 73461, 11, 13368, 1147, 1785, 13, 9820, 80260, 20005, 350, 68261, 8221, 37369, 11, 95710, 14612, 437, 75, 28122, 627, 268, 11, 1152, 17958, 10938, 10612, 285, 36616, 11, 1152, 17958, 10938, 6250, 92909, 2185, 11, 83758, 6395, 20153, 1100, 1268, 10938, 794, 2956, 8052, 9913, 23647, 575, 5849, 13, 758, 86, 570, 68, 275, 304, 99122, 8671, 603, 2798, 12543, 359, 1609, 10559, 49890, 331, 28122, 596, 89493, 38383, 9740, 2712, 406, 77, 15398, 90845, 11, 93985, 668, 25655, 86, 23118, 624, 58, 16, 60, 43854, 425, 11, 730, 11611, 86, 81176, 730, 11, 4695, 3662, 1021, 377, 468, 11, 139349, 30102, 358, 11, 794, 12856, 362, 11, 17220, 1952, 60273, 362, 11, 1842, 452, 13, 8907, 4865, 16034, 29618, 1279, 4188, 1528, 12032, 304, 44979, 220, 17, 15, 16, 21, 13, 19846, 25, 8397, 39493, 31500, 3696, 332, 26, 220, 17, 15, 16, 21, 13, 220, 17, 21, 24, 281, 13, 58570, 25, 220, 16, 15, 13, 16, 22, 23, 23, 21, 7382, 13389, 392, 75, 12, 17, 15, 16, 21, 12, 15, 16, 19, 198, 58, 17, 60, 2157, 24134, 529, 362, 11, 39493, 547, 11, 28746, 13, 8536, 72043, 69176, 263, 562, 37369, 13, 479, 44226, 1280, 268, 25, 49769, 1097, 68, 26, 220, 17, 15, 16, 21, 624, 58, 18, 60, 28392, 12010, 75, 2667, 38362, 11, 5540, 425, 11, 2825, 4003, 444, 11, 11375, 49958, 393, 11, 29938, 32950, 13, 81424, 369, 23187, 1824, 304, 9387, 6835, 448, 18210, 476, 34004, 25, 10519, 315, 264, 4285, 1492, 3405, 13, 69176, 263, 66, 2449, 13, 220, 17, 15, 16, 16, 3217, 26, 17, 15, 7, 20, 1648, 20, 17, 20, 12, 18, 16, 13, 58570, 25, 220, 16, 15, 13, 16, 15, 15, 17, 14, 618, 13, 16, 22, 20, 24, 198, 58, 19, 60, 434, 13956, 472, 11, 5016, 8479, 386, 11, 11867, 386, 11, 72717, 75, 547, 11, 1205, 285, 619, 11, 69252, 542, 1194, 431, 13, 29146, 315, 41011, 10326, 66, 38127, 38355, 389, 14269, 34004, 323, 4271, 315, 2272, 304, 6683, 6835, 448, 9387, 25, 36438, 3395, 323, 8823, 55436, 13, 619, 18398, 76754, 337, 13, 220, 17, 15, 16, 18, 13498, 220, 17, 15, 26, 18, 16, 7, 21, 1648, 22, 23, 17, 12, 24, 18, 13, 58570, 25, 220, 16, 15, 13, 16, 17, 15, 15, 31701, 8281, 13, 17, 15, 16, 16, 13, 19, 15, 13, 23, 24, 17, 17, 198, 38279, 303, 83, 547, 13, 220, 20, 13, 19, 13, 17, 13, 69176, 263, 74, 37369, 13, 758, 25, 1581, 258, 7070, 431, 11, 6538, 2429, 13620, 2367, 54077, 506, 11, 28746, 13, 8105, 91853, 72043, 2694, 3264, 76971, 17739, 17235, 37369, 2030, 3264, 76971, 17739, 2055, 8345, 37369, 13, 19846, 25, 5938, 12939, 9965, 479, 4826, 36833, 4678, 26, 220, 17, 15, 16, 23, 14523, 58570, 25, 220, 16, 15, 13, 20, 21, 23, 15, 14, 337, 93470, 15, 15, 15, 15, 23, 19, 151643, 63363, 74, 386, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5906, 1107, 25, 431, 454, 47631, 5699, 896, 17917, 8793, 18520, 198, 17, 22, 13, 15, 21, 13, 17, 15, 16, 17, 220, 15, 20, 25, 17, 17, 488, 35348, 198, 49, 454, 47631, 5699, 896, 17917, 8793, 18520, 198, 49, 454, 47631, 3651, 16597, 25861, 10890, 2660, 67058, 14047, 472, 3454, 2030, 511, 383, 11, 14948, 9089, 7219, 71126, 393, 6130, 79810, 304, 30781, 17739, 2994, 38257, 84858, 8896, 11, 572, 883, 72170, 15462, 330, 2016, 275, 26413, 1, 70298, 406, 13, 73202, 15141, 85348, 6395, 2429, 11, 572, 94572, 7382, 7219, 71126, 393, 6130, 79810, 14047, 56027, 15719, 11, 87231, 10638, 17790, 35276, 15141, 5679, 11, 14948, 10638, 77158, 3408, 713, 6395, 2429, 18520, 69, 610, 304, 36744, 4516, 2739, 2080, 1960, 50201, 9820, 14874, 6538, 42250, 77, 5906, 1107, 57984, 27726, 11, 2694, 10928, 752, 45329, 11, 10638, 58285, 64513, 6395, 2429, 1417, 275, 939, 5166, 1579, 2010, 794, 82017, 80617, 13, 141196, 17630, 8652, 63620, 304, 77420, 21673, 80072, 268, 8486, 824, 70667, 11, 2746, 75590, 22318, 2071, 47355, 88487, 40157, 6395, 2504, 16030, 13, 63678, 17859, 13, 220, 16, 13, 25861, 86913, 12788, 20096, 268, 2504, 16030, 2030, 10638, 86913, 10928, 79913, 98552, 326, 32454, 7522, 13, 71161, 2746, 2823, 21561, 70668, 65562, 7522, 7180, 481, 12385, 70336, 34699, 481, 9089, 34542, 13, 220, 17, 13, 619, 7294, 11, 2694, 44390, 393, 6130, 79810, 2739, 8400, 5178, 11, 15719, 25494, 71935, 2746, 425, 2956, 2280, 483, 50499, 2030, 2746, 33312, 41137, 11595, 88766, 40193, 11, 5451, 2694, 304, 2429, 2739, 2080, 1960, 50201, 34699, 23273, 5436, 32030, 14821, 794, 12543, 2185, 6395, 37896, 13, 6569, 1543, 16292, 687, 640, 3877, 819, 312, 331, 8935, 529, 17917, 10928, 12222, 82195, 406, 2746, 1640, 258, 1963, 50958, 33312, 41137, 11595, 13, 220, 18, 13, 25714, 71126, 393, 6130, 79810, 69499, 2694, 2825, 42950, 20175, 330, 1427, 83126, 333, 301, 7180, 2746, 59330, 2185, 17246, 55314, 22385, 3263, 16887, 25, 330, 41, 7294, 5999, 7180, 38897, 2823, 21561, 70668, 34542, 2739, 69046, 6772, 481, 44390, 393, 6130, 79810, 5999, 11090, 687, 13303, 1268, 465, 14163, 1189, 19000, 50232, 3342, 6395, 20153, 12563, 268, 11, 42046, 566, 723, 6433, 2030, 14269, 268, 38868, 17405, 268, 2030, 10638, 1013, 457, 13279, 582, 1203, 8793, 35951, 11, 572, 422, 98280, 7219, 71126, 393, 6130, 79810, 12709, 134662, 932, 13, 9236, 17837, 1960, 7180, 77814, 6566, 5183, 2746, 678, 64649, 16676, 5573, 12, 3477, 17454, 2030, 5573, 5999, 67952, 2694, 61430, 7256, 2410, 673, 266, 13, 220, 19, 13, 47436, 220, 20, 15, 15, 15, 31921, 7276, 265, 22157, 2030, 13785, 220, 16, 21, 15, 15, 3680, 41928, 42469, 71126, 67489, 546, 11, 2746, 10928, 2746, 90817, 17630, 11, 7219, 71126, 393, 6130, 79810, 5451, 89, 661, 3187, 332, 16030, 11, 2030, 13279, 140729, 14840, 6395, 220, 22, 15, 15, 67489, 9151, 7219, 44390, 393, 6130, 79810, 27726, 10638, 10928, 9421, 77158, 21673, 2825, 34271, 268, 31357, 32936, 90817, 11, 7219, 25469, 6395, 13364, 332, 16030, 13, 220, 20, 13, 19287, 75458, 12732, 31714, 33, 425, 63361, 16844, 81234, 1914, 11, 386, 2801, 468, 687, 57, 2749, 3944, 730, 1898, 5328, 4477, 14309, 59837, 1863, 52, 57, 4521, 2149, 45, 953, 11, 12222, 52507, 9911, 7219, 44390, 393, 6130, 79810, 82942, 535, 295, 47650, 13, 220, 21, 13, 9774, 16840, 47572, 18069, 70333, 276, 304, 6778, 11, 304, 2429, 502, 2391, 4243, 1528, 2030, 51312, 10559, 43999, 74354, 309, 1274, 265, 332, 12643, 11, 27726, 10638, 304, 30781, 17739, 9057, 32030, 2030, 82207, 40662, 66723, 471, 343, 13, 9740, 25658, 1167, 141786, 320, 19462, 5999, 10928, 6538, 2694, 374, 6196, 17739, 3184, 36616, 458, 261, 8656, 406, 568, 220, 22, 13, 51743, 467, 610, 8029, 542, 11, 34699, 2746, 9089, 2694, 1417, 275, 26413, 10928, 61430, 295, 11, 738, 11687, 9089, 7180, 50435, 16840, 47572, 4368, 13, 19000, 82207, 10638, 17859, 13, 3874, 49662, 81429, 2986, 10638, 9911, 13, 220, 23, 13, 25861, 82207, 1531, 21864, 129059, 3342, 343, 11, 95038, 6395, 13364, 332, 16030, 11, 1508, 77016, 61634, 42137, 13, 14268, 51528, 6616, 773, 13906, 11, 10712, 1508, 883, 15462, 330, 372, 709, 81112, 1960, 41526, 932, 610, 73869, 1, 2739, 75, 844, 13, 8408, 330, 24765, 12495, 69, 79985, 2185, 1, 304, 2429, 2739, 2080, 1960, 50201, 16111, 5840, 53165, 32595, 7219, 23273, 68876, 773, 624, 47789, 288, 21756, 939, 647, 1087, 11042, 19875, 939, 142791, 90527, 17739, 50244, 331, 82872, 939, 29608, 477, 1134, 5999, 458, 5016, 2305, 16154, 26612, 8793, 6395, 10489, 9160, 64260, 13, 3651, 16597, 5693, 17029, 13368, 4368, 393, 1362, 85, 962, 11, 2694, 9089, 74054, 435, 11855, 1151, 295, 11, 2714, 58881, 12222, 2746, 40407, 95898, 33254, 11, 572, 304, 3371, 1863, 12543, 932, 1494, 18849, 11, 42137, 8793, 38897, 328, 1777, 13, 56231, 58881, 18302, 288, 2521, 17395, 28122, 35225, 15462, 393, 1362, 11, 304, 2429, 1531, 773, 1147, 4733, 426, 13368, 7219, 3651, 16597, 53936, 393, 6130, 79810, 28883, 33328, 33481, 2185, 5699, 11567, 26824, 13, 9740, 75315, 59765, 49536, 11, 9820, 67775, 267, 391, 1536, 258, 6395, 143562, 11, 2746, 9089, 9820, 330, 73, 2391, 4243, 1528, 1, 12100, 25058, 645, 2030, 88537, 53383, 26924, 10215, 529, 8896, 13, 20004, 2429, 1205, 4079, 76, 15938, 778, 813, 13518, 11, 2694, 9911, 3893, 37400, 83, 8896, 11, 7845, 665, 9911, 15462, 502, 2391, 4243, 7522, 4229, 273, 4079, 1960, 2030, 35724, 6863, 261, 652, 962, 11, 54649, 386, 6207, 294, 4865, 7714, 9911, 9820, 730, 57, 12, 4651, 1174, 1079, 33312, 2178, 458, 13, 51709, 268, 62401, 36408, 437, 9911, 17790, 9820, 77775, 26976, 11, 304, 2694, 9911, 10712, 330, 53, 29886, 1404, 258, 1, 933, 17029, 13, 422, 395, 9820, 1197, 29032, 76, 665, 11960, 265, 9089, 7219, 26769, 1205, 1064, 647, 16568, 457, 47708, 2649, 83, 11, 2746, 24440, 10712, 10772, 69215, 422, 4865, 84409, 95243, 1197, 709, 12032, 43243, 5183, 11, 15269, 276, 8896, 2694, 386, 16074, 3667, 276, 261, 15928, 1579, 34123, 72511, 59765, 9421, 89, 18187, 5679, 13, 2362, 98863, 6817, 321, 11, 2714, 75315, 1531, 330, 86, 1776, 129059, 3342, 343, 11, 95038, 6395, 13364, 332, 16030, 11, 1508, 77016, 61634, 42137, 3263, 71161, 9911, 5999, 68876, 2746, 5166, 6538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 619, 2391, 72811, 11, 7219, 2746, 2694, 11213, 268, 24716, 1241, 3651, 16597, 668, 136507, 3342, 11, 2030, 2714, 5999, 24440, 20004, 628, 7070, 11, 2694, 38897, 472, 21545, 7522, 5699, 28658, 85348, 13785, 9911, 305, 41203, 13, 14804, 7180, 9820, 328, 3356, 815, 325, 0, 1863, 27105, 1345, 8398, 11, 4368, 64477, 88729, 25, 35780, 61634, 5999, 11, 1850, 318, 5676, 16111, 4894, 35, 395, 3651, 16597, 13279, 220, 20, 15, 15, 15, 31921, 7276, 265, 22157, 11, 220, 16, 21, 15, 15, 3680, 26378, 306, 268, 53936, 320, 2660, 380, 35515, 86873, 6130, 6433, 8, 67489, 546, 2030, 330, 83, 2305, 28494, 14840, 6395, 220, 22, 15, 15, 67489, 9151, 1, 7219, 53936, 393, 6130, 79810, 2746, 30512, 1902, 4865, 2739, 742, 529, 2030, 7180, 3371, 422, 24638, 11, 2694, 7219, 53936, 393, 6130, 79810, 54395, 1528, 396, 11, 8793, 2739, 69046, 6772, 19349, 66316, 11, 15719, 883, 14047, 85, 965, 13536, 12032, 13, 2009, 68627, 11, 304, 36744, 393, 43226, 305, 41203, 2714, 1531, 5451, 2694, 467, 15113, 22385, 773, 13368, 38897, 47375, 12, 2030, 71712, 73, 2391, 72811, 5451, 71017, 11213, 2367, 258, 13, 42079, 83281, 25, 330, 1427, 83126, 333, 301, 7180, 2746, 59330, 2185, 17246, 55314, 22385, 3263, 142839, 1147, 724, 17029, 2714, 2030, 5699, 2660, 285, 267, 1967, 1070, 435, 11855, 11, 87862, 59330, 2185, 58442, 8793, 6368, 267, 13, 2308, 331, 1079, 220, 24, 13, 17, 13, 1736, 7714, 2714, 26769, 9740, 77131, 2185, 25, 1591, 7462, 3981, 393, 6130, 79810, 54383, 7180, 2746, 70944, 23870, 34699, 51743, 467, 610, 8029, 542, 2030, 3371, 198, 10629, 47572, 18069, 70333, 276, 8793, 17312, 90769, 13, 25861, 27726, 2746, 6252, 1440, 9354, 1174, 11, 31643, 267, 11, 444, 9151, 89, 39307, 46613, 94716, 30102, 11, 51743, 350, 3092, 88, 2030, 90086, 17406, 67442, 355, 268, 2504, 17029, 10040, 7, 2428, 1110, 2136, 19599, 905, 7382, 454, 47631, 64136, 16597, 51311, 14, 18, 22, 15, 19, 20, 22, 22, 15, 21, 17, 24, 24, 17, 15, 19, 340, 1658, 67594, 2694, 467, 610, 8029, 542, 84911, 1070, 95723, 11, 14948, 9911, 140527, 74565, 13785, 37400, 83, 5999, 11, 9911, 42137, 9820, 619, 2391, 72811, 13, 9236, 27298, 10928, 1967, 1070, 11, 2746, 9089, 7180, 10588, 11, 66206, 12385, 3371, 141775, 6538, 31398, 92159, 95723, 13, 3651, 16597, 19104, 5999, 4368, 444, 2391, 70, 1194, 13, 19051, 77, 5451, 17443, 393, 1362, 85, 962, 6395, 37801, 273, 28324, 11, 68573, 9820, 2823, 273, 307, 42603, 13, 45481, 53165, 458, 47635, 6433, 393, 1362, 85, 962, 13, 151643, 17, 17, 24, 21, 17, 2030, 34749, 15335, 27929, 3591, 81936, 529, 11595, 198, 42, 14012, 1469, 15335, 27929, 3591, 81936, 529, 11595, 304, 220, 17, 17, 24, 21, 17, 198, 39041, 24585, 304, 17058, 74227, 6433, 479, 87045, 304, 220, 17, 17, 24, 21, 17, 15719, 2694, 44602, 268, 36702, 54594, 28086, 25494, 4151, 16030, 13, 49371, 15462, 13906, 41137, 65, 9151, 60939, 2739, 139376, 20005, 50244, 8535, 6395, 282, 32251, 268, 11, 5999, 1757, 275, 17299, 35515, 1268, 343, 13, 506, 723, 76, 1127, 12643, 15335, 27929, 3591, 6538, 68042, 87040, 11, 58319, 2739, 4554, 28421, 56945, 11, 6395, 139554, 268, 6250, 4554, 87083, 1726, 23129, 10712, 2694, 57123, 54594, 939, 44602, 724, 2739, 6984, 268, 47008, 67594, 624, 32617, 68312, 17029, 63027, 9964, 72, 613, 773, 11, 14948, 2746, 90080, 306, 2391, 1174, 2746, 15335, 27929, 645, 6395, 17443, 39771, 342, 59391, 7272, 268, 60939, 458, 65, 33254, 2030, 15588, 932, 610, 458, 3371, 3680, 88487, 2739, 129076, 7997, 932, 11, 2694, 3371, 141963, 15795, 13017, 4101, 7180, 6616, 26639, 17149, 6395, 1147, 58193, 26933, 275, 5999, 13, 58154, 805, 57926, 11595, 12643, 315, 13730, 1127, 6538, 55857, 21558, 2892, 342, 8398, 5840, 13, 23980, 14821, 2429, 58154, 2245, 433, 306, 268, 315, 13730, 1127, 10928, 773, 5451, 455, 68, 2963, 624, 1514, 4079, 65733, 5999, 7180, 2746, 26639, 17149, 81936, 529, 2185, 4368, 4808, 7073, 15335, 27929, 3591, 48562, 1536, 624, 80593, 15462, 37337, 142674, 7272, 12583, 14259, 406, 77, 15398, 13785, 3371, 44340, 12709, 132894, 267, 65733, 198, 26034, 68102, 2746, 36852, 57926, 19875, 434, 9913, 23647, 17058, 10890, 6862, 306, 268, 15335, 27929, 3591, 81936, 529, 2185, 15269, 30, 96943, 5999, 6616, 467, 36964, 939, 6250, 74, 2305, 1704, 388, 6538, 13093, 60053, 2185, 13, 51310, 386, 6309, 458, 6250, 74, 129076, 78733, 6538, 26639, 1225, 1960, 75130, 8793, 65681, 18078, 57926, 2030, 12583, 93328, 7219, 3371, 4808, 15671, 39324, 1536, 6454, 365, 93840, 13, 42079, 32157, 268, 7180, 15335, 27929, 3591, 14821, 24929, 2714, 35608, 295, 11, 14948, 8495, 24929, 3371, 1850, 76, 61897, 21673, 60939, 1059, 63051, 331, 54708, 13, 647, 24619, 39324, 1536, 85239, 9089, 732, 92283, 5451, 52716, 15495, 2185, 52028, 268, 2030, 71017, 14187, 57423, 13, 25714, 12442, 9034, 47404, 12643, 2746, 61430, 6433, 26639, 1225, 13730, 585, 1536, 81671, 5267, 49, 4865, 7256, 36866, 585, 790, 1270, 268, 12583, 7219, 44160, 67435, 2746, 63583, 27929, 3591, 4580, 50958, 2285, 13, 6395, 35103, 13, 34903, 20048, 43860, 21766, 92660, 44160, 41663, 65224, 2030, 23898, 288, 467, 1038, 724, 7219, 36744, 44336, 3891, 13368, 22539, 66107, 13920, 82197, 13, 1863, 87205, 12583, 16111, 13279, 70777, 55928, 29413, 2714, 40334, 2257, 624, 17360, 5999, 137943, 8793, 71935, 2746, 31954, 265, 40951, 15335, 27929, 3591, 81936, 529, 2185, 304, 220, 17, 17, 24, 21, 17, 77868, 1704, 529, 6433, 11, 2994, 9089, 47143, 15335, 27929, 3591, 11, 2746, 9089, 37146, 12709, 71, 8138, 77, 2030, 9089, 732, 11806, 7964, 44336, 3891, 81616, 268, 11, 42046, 66653, 6395, 26956, 50958, 12583, 13, 19000, 15719, 10928, 458, 3371, 94788, 12495, 8755, 74, 14649, 268, 11, 13368, 17443, 11122, 71, 6433, 15577, 371, 12385, 17058, 25851, 268, 93912, 65, 747, 1489, 12070, 2185, 11, 10246, 4370, 13, 45481, 9820, 93898, 17152, 9820, 15335, 27929, 3591, 81936, 529, 2185, 6395, 1197, 6566, 30353, 11, 5999, 939, 49662, 35515, 1268, 343, 13, 12741, 78445, 15719, 12222, 80122, 939, 57123, 54594, 288, 939, 44602, 724, 55449, 2125, 295, 12643, 13, 60423, 2746, 22665, 70628, 7828, 59141, 939, 730, 2305, 1704, 388, 5999, 2694, 9063, 9421, 89, 372, 45699, 624, 80593, 2746, 9740, 265, 2125, 2185, 36108, 44602, 268, 36702, 54594, 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 ]
[ 12583, 2746, 47227, 55754, 1640, 9433, 70439, 2746, 28086, 2739, 129076, 7997, 50958, 26639, 66362, 9179, 49662, 46668, 44336, 3891, 288, 13, 1345, 4079, 80260, 6772, 12583, 12412, 62401, 7906, 88660, 2746, 4968, 1064, 2694, 22665, 70628, 26639, 66362, 13, 362, 900, 261, 325, 1199, 57686, 98975, 9089, 2429, 89, 1704, 337, 709, 2746, 22665, 70628, 140526, 21673, 58154, 1726, 1064, 7906, 52662, 539, 44275, 37146, 13, 2823, 318, 15462, 26639, 17149, 5999, 9820, 7906, 52662, 539, 44275, 133862, 1279, 1528, 18069, 71832, 129056, 1528, 2030, 28789, 38684, 26639, 17149, 2746, 42759, 6739, 39324, 1536, 776, 13013, 2694, 47227, 17058, 60939, 5342, 7272, 2185, 13, 468, 7964, 704, 434, 9913, 23647, 11, 58319, 19658, 268, 11, 13368, 16034, 79192, 9820, 63630, 654, 11866, 450, 84732, 2429, 47375, 11, 12583, 1634, 375, 40951, 11, 58319, 5451, 11321, 72442, 12643, 47827, 624, 18175, 9740, 376, 2032, 54594, 61286, 2125, 2185, 304, 220, 17, 17, 24, 21, 17, 2030, 220, 17, 19, 23, 15, 15, 2030, 2746, 431, 408, 632, 61286, 2125, 2185, 69499, 1531, 84732, 2429, 44602, 268, 36702, 54594, 10928, 6395, 11321, 1960, 65, 17366, 53776, 13, 18069, 51583, 610, 465, 15719, 47226, 57519, 80260, 21673, 34278, 3843, 2305, 1960, 9421, 86, 85242, 13, 43997, 1531, 304, 2694, 8800, 36614, 10928, 8793, 19767, 94873, 408, 2694, 14785, 5999, 11, 50926, 13279, 50041, 1032, 2125, 11595, 6616, 29003, 12063, 78796, 285, 2714, 8345, 3818, 12643, 624, 35, 395, 2694, 37337, 142674, 7272, 13785, 220, 17, 17, 24, 21, 17, 39307, 3371, 15577, 371, 6051, 17029, 5999, 11, 5999, 357, 1415, 1147, 26862, 6772, 65733, 13, 38472, 74857, 50926, 7219, 15462, 8459, 72, 20866, 11, 12442, 9034, 9089, 9421, 4188, 776, 7522, 17859, 304, 2694, 16868, 58791, 6433, 2521, 2576, 20542, 9421, 2712, 406, 13, 71161, 6069, 343, 6772, 773, 15719, 5451, 2429, 53129, 268, 58154, 1726, 285, 66287, 2125, 295, 12643, 624, 4416, 78733, 8495, 1079, 6250, 4554, 1704, 12385, 458, 17443, 9740, 6566, 65, 9179, 71, 585, 65, 6538, 220, 17, 17, 24, 21, 17, 5665, 23318, 17630, 11, 74453, 8495, 9089, 458, 3371, 8459, 285, 19051, 416, 6250, 2172, 84, 724, 435, 28698, 13, 47436, 8438, 950, 645, 63583, 27929, 3591, 4580, 50958, 2285, 37896, 8495, 3371, 10890, 6862, 306, 268, 38453, 61231, 36258, 5451, 467, 36964, 2030, 14259, 406, 77, 36964, 13785, 9820, 2521, 2576, 20542, 9421, 3903, 343, 13, 86784, 15335, 27929, 3591, 81936, 529, 2185, 304, 220, 17, 17, 24, 21, 17, 151643, 16, 5, 16, 45558, 609, 220, 16, 1241, 16, 69830, 10991, 92918, 4553, 12543, 1199, 331, 2863, 198, 16, 5, 16, 45558, 609, 220, 16, 1241, 16, 69830, 10991, 92918, 304, 220, 15, 23, 19, 20, 16, 4553, 12543, 1199, 331, 2863, 198, 16, 5, 16, 10991, 92918, 304, 220, 15, 23, 19, 20, 16, 4553, 12543, 1199, 331, 2863, 198, 16, 5, 16, 14028, 4553, 12543, 1199, 331, 2863, 198, 16, 1241, 16, 10991, 92918, 4553, 12543, 1199, 331, 2863, 198, 38, 59391, 7256, 220, 16, 5, 16, 10991, 92918, 7180, 220, 15, 23, 19, 20, 16, 4553, 12543, 1199, 331, 2863, 5999, 23898, 4389, 84091, 28324, 0, 34903, 82197, 43860, 54064, 49536, 3371, 61430, 6433, 220, 16, 1241, 16, 69830, 12, 2030, 220, 16, 5, 16, 45558, 12, 10141, 52015, 7180, 4553, 12543, 1199, 331, 2863, 6395, 35103, 13, 19000, 5282, 632, 83600, 2576, 87176, 376, 372, 60729, 43860, 1494, 10938, 89452, 11595, 7180, 70836, 22665, 70628, 1527, 87227, 28122, 13464, 13, 57782, 16030, 8495, 6538, 20226, 9151, 4509, 3101, 4974, 77, 11, 707, 6591, 50958, 1298, 89, 38809, 2030, 6909, 6222, 2800, 11, 22075, 1531, 6395, 74890, 5676, 51528, 13, 38747, 62401, 51327, 723, 43860, 44367, 86784, 220, 17, 19, 14, 22, 32157, 268, 11278, 354, 1056, 28883, 52287, 467, 19840, 2986, 14668, 13, 220, 16, 5, 16, 5999, 5362, 12, 609, 60939, 29553, 13277, 2030, 9057, 11042, 83, 9820, 3275, 490, 610, 65078, 85740, 68, 92283, 28242, 928, 36614, 624, 54370, 77012, 220, 16, 5, 16, 5379, 5475, 76120, 7964, 8495, 1850, 288, 70847, 732, 24851, 5679, 47375, 304, 4553, 12543, 1199, 331, 2863, 13, 14133, 14047, 137208, 19051, 416, 14101, 4776, 12385, 98344, 66809, 13, 73360, 627, 2030, 4759, 14047, 35346, 19154, 50499, 19051, 416, 1527, 21062, 75, 82872, 11, 68102, 16111, 43860, 95710, 5379, 5475, 17312, 90769, 11, 4443, 6616, 7553, 1574, 9421, 77065, 1527, 21062, 75, 1854, 83380, 25655, 8452, 268, 13, 14133, 14047, 5379, 5475, 20048, 9911, 14840, 6395, 220, 20, 13563, 31341, 93644, 11567, 26824, 2030, 773, 11, 5451, 14840, 6395, 220, 20, 88687, 16212, 76, 932, 42150, 16030, 13, 45481, 678, 38472, 38684, 19929, 2305, 665, 69499, 6616, 220, 16, 5, 16, 70847, 19625, 388, 1726, 7522, 25, 61043, 485, 32157, 268, 90845, 38472, 19929, 2305, 665, 1640, 92283, 13, 18069, 1527, 81, 1704, 4081, 2391, 5178, 4894, 37, 56364, 16034, 220, 16, 5, 16, 69830, 69, 3122, 423, 52015, 304, 4553, 12543, 1199, 331, 2863, 198, 44, 27929, 69, 3122, 423, 376, 70668, 17630, 25494, 41983, 1527, 87227, 11595, 13, 25006, 1528, 70777, 50926, 883, 9089, 10712, 6250, 14383, 73612, 68102, 11, 22075, 8495, 304, 4553, 12543, 1199, 331, 2863, 289, 3103, 268, 30, 151643, 53750, 16631, 54422, 24803, 37699, 835, 6772, 7219, 18092, 0, 9740, 273, 7964, 8495, 2746, 13016, 96049, 96185, 6538, 9857, 31003, 17790, 54459, 304, 1850, 261, 98060, 6395, 472, 3454, 13, 151643, 7623, 608, 14373, 608, 1731, 608, 8847, 1942, 198, 44, 45699, 8495, 2926, 1942, 0, 5267, 1658, 67594, 458, 37060, 11, 14948, 19767, 2746, 20004, 20512, 50158, 939, 8105, 5251, 838, 2338, 2746, 8213, 5251, 291, 3591, 25531, 357, 13977, 7052, 458, 13093, 60053, 2185, 2739, 5623, 268, 13, 41663, 74374, 85239, 60637, 11, 14948, 1531, 10928, 595, 16074, 723, 343, 28883, 3371, 8213, 7671, 485, 713, 35323, 8793, 62459, 14821, 13, 64477, 81, 1942, 665, 35780, 65, 336, 95283, 12643, 30632, 41557, 9820, 90796, 7256, 30976, 273, 58237, 11, 51939, 9911, 17630, 9820, 1147, 306, 45040, 14390, 14295, 95905, 7276, 3122, 27391, 11, 2746, 5451, 48803, 336, 38684, 24355, 220, 44146, 11687, 12643, 15719, 13, 42616, 19104, 2872, 87481, 883, 50435, 74219, 773, 11, 14948, 6616, 6250, 71, 29802, 1517, 285, 6538, 60939, 2030, 98060, 22823, 7219, 2746, 13093 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5186, 8822, 15398, 939, 33312, 25402, 48874, 9421, 1389, 89730, 5999, 5267, 37, 337, 58773, 647, 6670, 71, 724, 41210, 8896, 9089, 12412, 26956, 21519, 3342, 510, 40, 267, 57916, 5774, 325, 25, 17821, 68, 25714, 61286, 50158, 2030, 607, 37667, 6070, 13820, 2521, 17395, 2185, 2694, 91304, 343, 1960, 8213, 6691, 3342, 28855, 198, 36, 13762, 19985, 2185, 2694, 46954, 304, 7491, 7997, 45061, 811, 307, 13820, 730, 1692, 7455, 12, 16583, 198, 21367, 318, 36616, 2694, 10230, 3591, 320, 29159, 2429, 1634, 78881, 2694, 55248, 891, 579, 19875, 98060, 340, 21367, 318, 36616, 2694, 1298, 89, 433, 370, 43183, 66075, 320, 6566, 1850, 32863, 13279, 289, 336, 11, 54505, 2030, 4116, 372, 50805, 96135, 36807, 50244, 331, 38013, 28122, 423, 96922, 5451, 2429, 77356, 11, 3371, 3446, 645, 22823, 268, 60404, 267, 273, 1571, 9421, 3903, 343, 6395, 37896, 198, 33, 365, 529, 2185, 2030, 2340, 2391, 78606, 2694, 98060, 2030, 2694, 28275, 39416, 50499, 2694, 60404, 267, 273, 1571, 198, 53, 2375, 8229, 458, 10661, 3802, 1268, 465, 93403, 57926, 28122, 59785, 54708, 198, 62980, 36616, 2030, 23334, 746, 38132, 939, 47669, 2030, 7553, 77399, 23388, 54749, 288, 198, 32, 1387, 12583, 566, 32997, 332, 424, 2926, 1942, 12, 2030, 58009, 4813, 612, 68, 732, 61197, 650, 423, 89, 4865, 2257, 481, 2739, 1723, 45699, 19104, 7219, 2694, 38684, 47404, 8793, 650, 261, 383, 65, 20005, 40866, 320, 65397, 2305, 870, 66860, 11, 350, 26576, 11, 467, 471, 2185, 11, 468, 63274, 11, 4992, 35334, 2055, 12583, 304, 3371, 66968, 220, 20, 45506, 2746, 20404, 309, 6242, 14012, 7180, 6616, 58009, 16030, 2030, 2926, 96990, 4443, 18520, 10712, 220, 18, 15, 4, 12743, 645, 4370, 13, 8408, 3582, 17739, 70038, 45699, 7180, 26769, 40866, 5342, 7272, 11595, 12583, 510, 33876, 680, 268, 12643, 12412, 752, 380, 12222, 12304, 220, 19, 12, 20, 48015, 633, 14033, 17917, 13, 1863, 87205, 93096, 31008, 74219, 304, 3371, 84701, 434, 32251, 268, 8793, 16034, 84687, 45061, 56539, 939, 33312, 25402, 48874, 13, 23980, 4087, 343, 529, 2746, 55857, 15113, 11, 14948, 12412, 9820, 48745, 610, 139376, 42603, 67317, 3903, 295, 13, 98317, 25069, 268, 13785, 38383, 87479, 2030, 7001, 1609, 3591, 58065, 752, 380, 21982, 8688, 135453, 6433, 2030, 1842, 370, 742, 50958, 21491, 802, 54834, 13, 19000, 50232, 3342, 53797, 11, 14948, 9820, 58694, 36614, 2030, 26639, 17149, 344, 36614, 8793, 25531, 22539, 36956, 273, 380, 295, 5999, 13, 1863, 87205, 2739, 1723, 45699, 2746, 29448, 11706, 268, 739, 8166, 20542, 268, 11, 1640, 9433, 70439, 13279, 3371, 467, 471, 28122, 12, 2030, 30716, 16754, 14012, 11, 315, 13730, 1127, 9820, 60939, 4580, 40455, 732, 4929, 66075, 2694, 6250, 376, 2032, 29413, 624, 1072, 4025, 2030, 2839, 17149, 533, 4389, 8935, 79985, 2185, 22996, 2391, 28494, 26956, 36956, 465, 7001, 1609, 3591, 2030, 6481, 261, 5547, 38140, 198, 2250, 69936, 6538, 7491, 7997, 45061, 811, 307, 50958, 8213, 15843, 263, 54749, 268, 2030, 19709, 939, 140526, 21673, 13093, 277, 3848, 732, 61197, 151643, 32617, 68517, 50008, 6237, 37953, 6051, 17029, 25, 8876, 431, 39337, 3848, 481, 75410, 2694, 13452, 7964, 220, 16, 24, 13, 6702, 220, 17, 15, 16, 15, 14840, 220, 17, 18, 13, 4350, 18731, 220, 17, 15, 16, 16, 481, 80331, 12, 1241, 15843, 76431, 481, 7060, 1371, 64726, 7066, 7522, 905, 198, 32617, 68517, 50008, 6237, 37953, 6051, 17029, 25, 8876, 431, 39337, 3848, 481, 75410, 2694, 13452, 7964, 220, 16, 24, 13, 6702, 220, 17, 15, 16, 15, 14840, 220, 17, 18, 13, 4350, 18731, 220, 17, 15, 16, 16, 198, 54370, 40897, 220, 16, 15, 15, 31145, 2305, 507, 268, 11, 9919, 713, 77, 11595, 11, 362, 5151, 79788, 2030, 74683, 61473, 14033, 4160, 60729, 2746, 20004, 54377, 330, 40942, 431, 39337, 3848, 481, 75410, 2694, 13452, 7964, 1, 732, 73189, 11278, 11855, 304, 11461, 472, 2855, 5556, 21982, 220, 16, 24, 13, 6702, 220, 17, 15, 16, 15, 14840, 220, 17, 18, 13, 4350, 18731, 220, 17, 15, 16, 16, 15462, 4443, 69, 395, 19875, 49371, 83820, 13785, 6616, 89423, 939, 730, 59391, 9254, 9421, 2429, 18078, 11042, 939, 65435, 31551, 50008, 6237, 472, 8535, 624, 1, 1514, 482, 8394, 485, 72, 5999, 75410, 2694, 13452, 7964, 497, 5699, 44914, 2694, 64237, 70552, 12, 6464, 2391, 900, 34031, 73110, 65435, 31551, 732, 37419, 220, 16, 24, 15, 20, 13785, 3371, 8394, 261, 624, 40942, 431, 39337, 3848, 1147, 83049, 6395, 3371, 18069, 27393, 70, 25423, 932, 21506, 3371, 730, 59391, 75, 932, 2694, 43427, 811, 13, 19000, 312, 12063, 89423, 939, 4937, 9911, 7964, 37419, 89, 2636, 23446, 5699, 2649, 19875, 730, 59391, 9254, 1197, 2685, 304, 17058, 468, 5368, 1528, 13791, 13977, 261, 595, 59391, 1536, 32708, 4863, 21188, 75, 11595, 13, 42616, 99025, 4368, 61805, 261, 8394, 261, 2498, 2714, 3371, 47669, 80331, 83, 19875, 5679, 53936, 28831, 87533, 139115, 11, 28883, 49536, 38897, 34734, 1952, 58459, 79, 802, 10559, 20465, 23348, 88185, 7219, 89, 4733, 7964, 624, 1514, 482, 8907, 1704, 2185, 14047, 472, 8535, 732, 37419, 220, 16, 24, 15, 16, 1868, 17029, 3371, 18597, 77, 17058, 650, 37285, 2956, 24134, 21673, 46793, 1268, 25141, 13, 33312, 2429, 468, 80587, 1942, 2694, 6538, 65435, 31551, 7219, 42153, 2717, 268, 8224, 1014, 2185, 6481, 261, 61921, 2305, 32708, 80331, 11, 2746, 732, 220, 16, 24, 15, 17, 2714, 51176, 4711, 268, 16328, 64237, 70552, 3893, 96695, 26109, 11, 17837, 524, 665, 431, 39337, 3848, 10712, 220, 20, 17, 13333, 36956, 7272, 11, 9421, 87027, 37700, 730, 59391, 1536, 13785, 2746, 362, 810, 75731, 44146, 38132, 5451, 6898, 356, 963, 89, 20368, 11, 34307, 5242, 479, 63936, 2030, 3199, 21601, 386, 3185, 5699, 83090, 6395, 17058, 47669, 11, 40157, 650, 423, 896, 90830, 65, 9151, 13452, 65, 12, 2030, 3377, 724, 649, 1777, 13, 16354, 275, 26109, 2714, 16034, 58534, 4370, 3662, 268, 97168, 44275, 502, 2391, 64067, 261, 8394, 261, 2694, 92191, 16378, 380, 826, 17252, 624, 18175, 13452, 1371, 10712, 1147, 306, 956, 642, 53899, 61806, 3563, 95283, 22539, 1020, 49536, 18520, 2030, 18520, 7577, 72, 22385, 304, 72440, 89423, 13, 33328, 60297, 304, 59228, 362, 5151, 79788, 2030, 74683, 61473, 14033, 4160, 2694, 24396, 12070, 7272, 2030, 32101, 36947, 7272, 48015, 80129 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 301, 665, 431, 39337, 3848, 5699, 83090, 650, 423, 3408, 713, 20005, 13452, 65, 8125, 4865, 15843, 316, 3487, 268, 6538, 5699, 2911, 1659, 4058, 41064, 89, 13, 468, 80587, 1942, 3492, 965, 2030, 3275, 490, 41203, 343, 12583, 9911, 198, 258, 2694, 20004, 54377, 304, 11461, 472, 2855, 5556, 19767, 31643, 1268, 277, 50656, 5451, 393, 1489, 276, 5679, 12, 2030, 1640, 9433, 70439, 2502, 372, 5153, 41137, 11595, 5198, 85885, 624, 32617, 732, 6156, 220, 17, 15, 15, 24, 26252, 261, 51176, 4711, 68, 65435, 31551, 16328, 472, 8535, 9057, 11042, 83, 1148, 676, 220, 20, 15, 15, 35780, 440, 9421, 64774, 2501, 21673, 89423, 50380, 268, 6538, 8876, 431, 39337, 3848, 2030, 2739, 30166, 5178, 1757, 275, 13785, 2746, 74539, 665, 8224, 1014, 2185, 939, 730, 59391, 9254, 624, 1, 49, 39337, 3848, 5999, 8394, 261, 13368, 37357, 7256, 11, 19104, 13906, 60297, 5999, 2714, 730, 59391, 1536, 13, 1345, 482, 5166, 11, 2746, 80331, 304, 2694, 39449, 6395, 53835, 11, 5999, 28724, 471, 343, 11, 38897, 1205, 1064, 11, 9911, 330, 1923, 11855, 50203, 72, 26824, 497, 25531, 34542, 130337, 13, 56580, 2694, 51892, 268, 15795, 11020, 54536, 511, 1543, 5016, 2649, 724, 35103, 732, 39449, 709, 133666, 24440, 4368, 343, 408, 288, 16936, 13, 1345, 482, 5016, 2956, 15897, 11595, 566, 7964, 2746, 3496, 273, 939, 13017, 81, 610, 5045, 1640, 50559, 2694, 139349, 22385, 976, 4308, 497, 592, 2391, 8155, 13820, 2694, 64237, 70552, 12, 6464, 2391, 900, 2030, 1850, 21545, 7256, 386, 2305, 5679, 939, 730, 59391, 9254, 11, 34031, 73110, 65435, 31551, 458, 4188, 4865, 82, 2694, 8394, 485, 72, 6538, 8876, 431, 39337, 3848, 13, 151643, 1143, 26862, 70, 2863, 17152, 17298, 359, 12429, 758, 97229, 30682, 86, 15938, 758, 97229, 25, 18876, 275, 1524, 75074, 83820, 13279, 2694, 34624, 2488, 51898, 3004, 309, 1014, 2185, 198, 16, 23, 13, 15, 17, 13, 16, 19, 220, 16, 15, 25, 16, 15, 84301, 87481, 25, 220, 16, 23, 13, 15, 17, 13, 16, 19, 220, 16, 15, 25, 17, 21, 41, 1466, 2488, 51898, 3004, 309, 1014, 2185, 2694, 30682, 86, 15938, 758, 97229, 50855, 7964, 63657, 28275, 86, 53152, 7671, 2375, 86, 15938, 1536, 198, 20043, 6802, 22346, 5284, 14, 294, 6595, 41, 1466, 2488, 51898, 3004, 309, 1014, 2185, 2694, 30682, 86, 15938, 758, 97229, 13, 20043, 6802, 22346, 5284, 14, 294, 6595, 641, 97229, 481, 18069, 63656, 434, 1370, 275, 8896, 2746, 30682, 86, 15938, 13279, 54649, 34624, 2488, 51898, 3004, 309, 1014, 2185, 41150, 11706, 13, 12741, 70407, 2030, 794, 337, 89, 342, 3145, 13906, 60297, 3371, 141785, 89, 932, 2030, 3371, 28275, 86, 53152, 7671, 2375, 86, 610, 11544, 932, 624, 18175, 30682, 86, 15938, 758, 97229, 15719, 7219, 220, 18, 24, 22318, 533, 2030, 220, 16, 21, 27879, 77094, 7294, 49503, 15525, 55339, 13, 19000, 10207, 89730, 43157, 1199, 20542, 82, 273, 2015, 7937, 15696, 89, 1194, 13279, 2694, 34624, 2488, 51898, 3004, 309, 1014, 2185, 732, 1752, 267, 31551, 2410, 75, 6743, 7997, 13, 9740, 387, 85740, 1531, 10712, 25494, 2714, 24716, 360, 713, 11, 14948, 2694, 29413, 9911, 7964, 63657, 11, 12242, 65161, 1527, 86, 13977, 465, 2746, 20004, 93590, 10712, 30682, 86, 15938, 1536, 5451, 66723, 336, 468, 11437, 2030, 84247, 19767, 4260, 28421, 13, 18078, 27313, 305, 648, 269, 25655, 383, 7964, 5999, 11, 14948, 40462, 77094, 7294, 2746, 20004, 93590, 16034, 431, 7066, 2185, 778, 276, 64321, 465, 87561, 9971, 529, 17630, 2030, 40462, 61550, 2746, 20004, 93590, 732, 36744, 37419, 3647, 331, 11567, 26824, 12643, 5255, 76, 2746, 84247, 61286, 1199, 20542, 6395, 9089, 932, 11, 5999, 84732, 2694, 11845, 97761, 19875, 20004, 93590, 304, 576, 29203, 2030, 2340, 7184, 732, 44382, 90360, 10928, 9820, 62702, 20004, 96346, 2185, 2694, 30682, 86, 15938, 5451, 362, 7063, 138417, 2185, 2030, 77200, 37400, 268, 537, 40231, 343, 13, 23980, 14821, 22539, 36956, 273, 380, 295, 19767, 220, 22, 16, 16641, 1107, 42341, 77094, 7294, 11, 19767, 60082, 40231, 11595, 9421, 2429, 794, 38267, 15247, 1116, 3145, 2030, 19767, 2746, 25714, 86, 2844, 805, 331, 30875, 42603, 7180, 2746, 87561, 9971, 50958, 60352, 89493, 13, 51310, 56381, 794, 28658, 2986, 42137, 10928, 6616, 51239, 939, 142407, 19289, 1330, 11, 6616, 16034, 47355, 9421, 2694, 89983, 12010, 559, 1409, 39620, 2085, 2185, 357, 309, 2501, 624, 16, 21, 60352, 89493, 42668, 2746, 43157, 1199, 20542, 732, 37801, 524, 33370, 37419, 6395, 26956, 41203, 6433, 11, 74565, 40462, 5451, 472, 15738, 331, 956, 29870, 29159, 57849, 38132, 13, 15017, 29159, 43303, 2746, 431, 7066, 2185, 9421, 30682, 1921, 11, 2746, 24209, 1775, 2185, 6538, 1967, 4865, 12, 2030, 29505, 2836, 1149, 89, 1960, 39307, 9820, 38020, 55836, 2185, 13, 15017, 48985, 305, 2210, 355, 43303, 16447, 2305, 63319, 2694, 30682, 86, 15938, 758, 97229, 17312, 141786, 28789, 67775, 86, 395, 485, 1330, 20175, 304, 422, 28368, 8029, 69, 39307, 28789, 50568, 13473, 304, 11461, 1032, 28324, 42241, 14, 1001, 372, 4060, 732, 84247, 1785, 288, 27313, 2714, 24716, 360, 713, 4116, 11, 14948, 25658, 12844, 30682, 86, 610, 6242, 15232, 21140, 65078, 85740, 12643, 16540, 42469, 13, 73711, 51110, 2030, 6898, 72, 17500, 47650, 7180, 3371, 67775, 86, 395, 485, 1330, 20175, 5451, 2694, 2988, 940, 490, 932, 15151, 65078, 85740, 13, 53672, 1085, 21315, 2714, 6023, 3818, 7180, 220, 19, 15, 48015, 35246, 1440, 35225, 21673, 60404, 267, 6616, 5437, 652, 811, 60551, 1440, 2986, 28324, 2694, 30682, 86, 15938, 55591, 13476, 372, 49279, 1854, 66093, 2694, 70407, 939, 43157, 1199, 20542, 82, 273, 275, 388, 458, 12304, 30682, 86, 15938, 1536, 11, 20004, 86389, 11, 142407, 261, 2030, 479, 23348, 1194, 11, 28883, 2746, 26769, 35246, 1440, 35225, 21673, 1967, 380, 11595, 8793, 50837, 289, 96049, 1069, 21797, 1763, 55632, 2185, 30682, 86, 15938, 758, 97229, 57, 324, 19358, 17312, 30512, 1902, 4865, 25, 758, 97229, 151643, 2589, 684, 4886, 6576, 89, 274, 82751, 7180, 69252, 7522, 13473, 760, 7577, 645, 4111, 325, 481, 479, 4260, 1387, 2863, 198, 53750, 20540, 4886, 6576, 89, 8896, 304, 17443, 54412, 69, 20933, 3591, 31551, 304, 2694, 1863, 21188, 27097, 46273, 567, 12, 4416, 4195, 355, 6222, 2172, 23455, 1079, 7577, 275, 3246, 610, 23692, 351, 15462, 69252, 7522, 13473 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2739, 1723, 15938, 13, 28275, 7416, 40308, 2694, 3651, 551, 72, 42668, 2746, 220, 19, 24, 13333, 36956, 7256, 20740, 1404, 258, 3371, 1205, 90550, 15938, 778, 331, 76, 1942, 7219, 2429, 25949, 5840, 299, 1923, 67, 304, 2694, 136112, 668, 709, 71168, 11, 23738, 2714, 304, 16430, 17239, 3891, 13, 8408, 2988, 36772, 71467, 134662, 1960, 69252, 7522, 12, 2030, 1013, 8669, 10928, 2746, 52795, 64474, 86, 90360, 13, 8408, 6252, 67, 42339, 665, 42137, 83769, 5566, 76178, 267, 51817, 30179, 13, 8408, 37210, 2267, 1194, 258, 26109, 8793, 2739, 1149, 11687, 2030, 15719, 304, 54649, 98344, 90556, 13, 9774, 37337, 21062, 21140, 5699, 14033, 11687, 2746, 3651, 551, 72, 7219, 40897, 220, 18, 15, 15, 15, 19461, 13, 320, 45831, 8, 151643, 18175, 20112, 44977, 3371, 54831, 13906, 267, 2636, 19875, 98552, 8793, 83769, 5566, 1147, 275, 16030, 13, 8495, 47708, 86, 19875, 25769, 21673, 42678, 3065, 288, 375, 28064, 624, 37, 5583, 8495, 18520, 10712, 12222, 6616, 61217, 93504, 6395, 75182, 282, 21519, 343, 289, 96049, 11, 64774, 12032, 8495, 11, 94567, 9089, 84732, 2429, 24016, 301, 10928, 2694, 84100, 304, 3371, 16868, 58791, 7256, 15515, 45699, 57686, 57926, 295, 624, 62401, 74293, 24504, 57396, 1424, 3818, 1531, 9089, 54548, 6772, 4443, 9820, 7357, 11, 2746, 883, 51637, 20868, 258, 7364, 75687, 408, 10712, 15462, 1674, 74, 2267, 337, 24803, 387, 85740, 11, 29429, 382, 74909, 13279, 6975, 64857, 57519, 7126, 95710, 6079, 268, 6538, 356, 920, 1893, 62, 16, 18, 4724, 436, 6395, 75077, 90769, 11, 143525, 11358, 11, 6673, 3393, 8200, 2030, 8105, 3393, 8200, 11, 21766, 2694, 24514, 268, 356, 920, 1893, 62, 16, 18, 70777, 74, 7750, 481, 36221, 35442, 7323, 32368, 481, 36221, 14817, 17458, 40069, 348, 346, 3393, 8200, 20048, 8495, 3371, 758, 39416, 2694, 356, 920, 1893, 62, 16, 18, 70777, 74, 7750, 834, 3045, 268, 2340, 2391, 78606, 3492, 29886, 485, 50158, 58052, 2755, 84735, 7522, 2030, 3371, 3393, 1850, 40697, 11, 36221, 356, 920, 1893, 62, 16, 18, 95817, 91452, 22075, 8495, 2714, 6566, 24585, 137186, 12583, 11, 47827, 8495, 30632, 326, 49072, 11, 4443, 38472, 10207, 1704, 20005, 12380, 6395, 2755, 59493, 624, 19462, 80129, 301, 665, 2746, 576, 29203, 2694, 4229, 4413, 7231, 11, 2746, 1531, 53936, 576, 29203, 14047, 37431, 2956, 28494, 356, 920, 1893, 62, 16, 18, 95817, 52549, 11, 57030, 273, 8564, 3591, 19767, 51333, 665, 6395, 74247, 12032, 11, 758, 2694, 479, 87045, 2694, 566, 321, 6433, 54092, 15122, 32030, 883, 143525, 9421, 32101, 1268, 62785, 393, 1859, 333, 724, 371, 268, 624, 19462, 5699, 9379, 2746, 4928, 268, 2030, 2472, 665, 3371, 67703, 58009, 69, 304, 44390, 8536, 11, 16447, 810, 282, 437, 356, 920, 1893, 62, 16, 18, 1863, 529, 333, 449, 1268, 28122, 69046, 268, 19104, 304, 53936, 6250, 48414, 22385, 10712, 65, 4747, 92660, 13279, 2429, 38619, 30875, 6433, 2869, 2305, 1111, 258, 11, 6616, 12412, 5451, 60297, 18078, 57926, 289, 134662, 665, 2030, 67658, 10928, 5451, 2429, 5016, 31335, 624, 7823, 258, 68009, 11, 83835, 68573, 1531, 293, 2178, 1923, 35363, 11, 22075, 10638, 3371, 6250, 2685, 2739, 131807, 265, 11, 50610, 3703, 1110, 450, 23747, 649, 361, 78606, 3938, 529, 649, 361, 78606, 5329, 11295, 920, 1893, 62, 16, 18, 83334, 2564, 24185, 7997, 6616, 44306, 3667, 7219, 11, 357, 16722, 24929, 89485, 58583, 1960, 71, 2863, 12754, 1032, 1330, 16789, 333, 1782, 723, 2030, 2148, 1020, 304, 10487, 52662, 468, 457, 6616, 63380, 372, 668, 89, 51078, 60322, 11, 6616, 48614, 13906, 25655, 896, 23129, 4116, 624, 40369, 27726, 4368, 282, 2574, 83, 2257, 84187, 331, 2338, 42678, 36964, 11, 52507, 3845, 356, 920, 1893, 62, 16, 18, 2340, 2391, 69, 28122, 130977, 11595, 37699, 84193, 595, 54536, 3091, 267, 6616, 5999, 4937, 28086, 10487, 1371, 73507, 2381, 2305, 778, 50499, 11, 8408, 35158, 7052, 9421, 794, 59141, 10924, 268, 57465, 268, 343, 72055, 11, 14948, 2746, 98376, 15269, 258, 289, 7294, 2444, 5679, 17790, 356, 920, 1893, 62, 16, 18, 2340, 7184, 66693, 78606, 9089, 4443, 67, 11063, 268, 16540, 42469, 26, 56668, 2498, 268, 9911, 2994, 2030, 43303, 11840, 811, 11, 22087, 2030, 3184, 268, 5699, 32997, 2301, 9421, 28852, 4738, 529, 624, 15862, 40697, 8495, 356, 920, 1893, 62, 16, 18, 38472, 2340, 2391, 78606, 5451, 77012, 48069, 356, 920, 1893, 62, 16, 18, 20004, 93590, 10230, 609, 18926, 69215, 42432, 1078, 63786, 198, 50855, 1147, 10110, 4979, 11372, 16030, 21982, 58583, 939, 431, 18852, 11, 85725, 20048, 38383, 356, 920, 1893, 62, 16, 18, 8105, 20150, 35070, 57301, 267, 2956, 60273, 21506, 2048, 7522, 13093, 287, 11595, 8793, 289, 70487, 11, 2055, 1152, 258, 11, 14948, 2714, 8245, 22918, 436, 387, 824, 70667, 8896, 11, 14747, 64, 6616, 26349, 307, 21982, 1967, 23549, 6395, 312, 72, 26824, 624, 36, 8052, 265, 332, 13785, 46668, 3680, 6817, 8801, 11, 2498, 268, 9911, 7219, 2030, 342, 27918, 393, 925, 12, 3533, 38152, 16055, 422, 11793, 14047, 2429, 5016, 2301, 325, 11, 25861, 85389, 1531, 43860, 11, 94567, 8495, 28086, 7219, 1174, 2712, 43243, 5183, 7219, 6616, 11, 572, 10638, 43860, 6395, 73689, 52193, 31573, 665, 624, 26223, 15007, 42668, 2429, 23959, 354, 304, 72440, 47669, 33278, 4368, 38805, 288, 31665, 56643, 356, 920, 1893, 62, 16, 18, 95817, 22539, 307, 4059, 11, 78021, 11, 1531, 5999, 10928, 883, 8528, 15269, 29159, 11, 572, 2714, 8793, 6395, 2739, 652, 4370, 20112, 32030, 11, 2030, 49536, 54383, 2714, 9089, 28086, 17859, 4081, 768, 13, 151643, 16123, 34699, 655, 34123, 30, 481, 2521, 2787, 481, 34507, 1055, 28684, 2285, 760, 2126, 7771, 49, 11098, 82784, 198, 16123, 34699, 655, 34123, 5267, 40369, 6055, 83880, 5451, 12788, 20096, 336, 773, 56381, 1298, 1279, 13368, 5451, 26867, 277, 511, 307, 2429, 30412, 2746, 48322, 12583, 773, 10489, 9779, 17085, 79295, 70194, 24929, 17790, 220, 17, 69285, 488, 17, 312, 3191, 88595, 7964, 267, 40697, 24929, 91665, 10638, 48803, 11426, 18520, 2994, 93688, 267, 3845, 35323, 5451, 409, 16676, 22463, 82, 24774, 8153, 8793, 10613, 2694, 5672, 406, 35323, 70511, 97096, 9089, 20504, 7219, 2030, 4935, 529, 5419, 66983, 3845, 458, 43183, 1704, 267, 17837, 713, 26252, 15462, 14761, 7964, 489, 31832, 296, 9267, 1370, 66809, 4935, 300, 70511, 12, 12612, 15244, 259 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8398, 4446, 83, 732, 78, 10928, 59765, 2994, 2714, 24929, 35323, 26252, 4368, 357, 19358, 30632, 70511, 30005, 89131, 17760, 2574, 82664, 3637, 11544, 220, 17, 48322, 2739, 742, 529, 19104, 10638, 26252, 4937, 70298, 14761, 7964, 18529, 17085, 198, 47789, 261, 98552, 26109, 47143, 220, 16, 8641, 4499, 17029, 11, 1147, 48418, 11687, 6538, 8182, 44, 14439, 909, 13, 16, 24, 23, 24, 23703, 320, 16, 18, 13, 72124, 220, 17, 15, 15, 21, 11, 220, 17, 15, 25, 20, 23, 340, 8002, 1194, 46680, 11, 220, 16, 18, 13, 72124, 220, 17, 15, 15, 21, 11, 220, 16, 18, 25, 20, 16, 198, 11366, 12583, 13458, 17184, 89, 6616, 28822, 34699, 655, 34123, 198, 67292, 64, 15719, 883, 37801, 38809, 22075, 2714, 7219, 312, 3191, 39264, 198, 82, 965, 665, 2714, 60637, 47509, 383, 288, 37896, 43243, 67, 10638, 67317, 13458, 17184, 89, 26252, 6102, 64, 58237, 57583, 198, 709, 4370, 26867, 277, 20112, 1387, 10638, 10928, 17790, 44390, 1714, 268, 12236, 86, 5186, 67, 7491, 73689, 1079, 458, 42477, 220, 18, 79022, 64, 69466, 2030, 24929, 43483, 11, 5436, 44977, 40662, 49503, 6395, 73, 8535, 2030, 600, 896, 10489, 65, 6772, 7219, 282, 15113, 2986, 4733, 608, 883, 89, 1013, 7522, 198, 8002, 1194, 46680, 11, 220, 16, 18, 13, 72124, 220, 17, 15, 15, 21, 11, 220, 16, 19, 25, 20, 20, 198, 86, 5186, 67, 12222, 5451, 220, 17, 79022, 1370, 1147, 1176, 268, 2994, 71126, 36408, 65224, 14047, 304, 2429, 59786, 22686, 331, 1370, 63162, 274, 6130, 2301, 12583, 16034, 59095, 1307, 30353, 12222, 16034, 272, 63760, 10246, 652, 5451, 3371, 592, 82, 41130, 7073, 7219, 25247, 58065, 198, 77, 18734, 5451, 220, 18, 79022, 300, 2062, 417, 883, 41130, 7073, 10712, 5451, 220, 17, 297, 46, 198, 8002, 1194, 46680, 11, 220, 16, 18, 13, 72124, 220, 17, 15, 15, 21, 11, 220, 16, 20, 25, 15, 15, 198, 21062, 263, 72734, 308, 19042, 51528, 11937, 10928, 7219, 2746, 2415, 458, 71190, 198, 62401, 274, 1510, 69, 12385, 1501, 332, 20112, 1387, 883, 8793, 55813, 220, 18, 13279, 10382, 12385, 8250, 290, 28086, 93395, 11, 308, 19042, 53165, 32595, 12583, 78059, 38805, 281, 2956, 325, 281, 2956, 325, 2030, 31571, 9979, 89, 2301, 34699, 655, 34123, 198, 18, 79022, 64, 939, 86, 19981, 52507, 883, 5451, 220, 17, 2062, 417, 66809, 2415, 2865, 305, 6181, 198, 1241, 5451, 17443, 488, 29307, 357, 416, 267, 4894, 8002, 1194, 46680, 11, 220, 17, 22, 13, 72124, 220, 17, 15, 15, 21, 11, 220, 15, 17, 25, 15, 19, 198, 19152, 22075, 10638, 8641, 1422, 424, 1154, 19104, 572, 12583, 6852, 2596, 64, 30, 2157, 396, 24440, 12836, 370, 2253, 89, 5267, 8002, 1194, 46680, 11, 220, 17, 22, 13, 72124, 220, 17, 15, 15, 21, 11, 220, 15, 17, 25, 16, 21, 198, 811, 79022, 64, 284, 22686, 331, 47421, 1047, 198, 67292, 64, 284, 4935, 47421, 1047, 198, 8002, 1194, 46680, 11, 220, 17, 22, 13, 72124, 220, 17, 15, 15, 21, 11, 220, 16, 22, 25, 15, 20, 198, 40369, 1147, 1176, 17790, 57871, 43176, 8688, 3155, 54, 11, 19104, 732, 220, 16, 263, 16, 34699, 70298, 26867, 277, 345, 1107, 134303, 7219, 1032, 9532, 39264, 2030, 12973, 268, 686, 86899, 82, 595, 351, 709, 9421, 13, 71190, 198, 70194, 24929, 17790, 2746, 25658, 8666, 665, 6452, 268, 776, 21951, 258, 49536, 374, 9338, 30124, 4659, 76, 2369, 288, 10928, 22075, 2694, 26867, 277, 5451, 37849, 19875, 83422, 13995, 709, 426, 198, 1241, 17443, 2746, 431, 433, 70511, 11346, 417, 66809, 20628, 87481, 11, 2746, 14821, 883, 11937, 57871, 76, 54988, 2478, 9338, 72287, 883, 6616, 40157, 8641, 25620, 2649, 83, 11, 51528, 2694, 47143, 5451, 53339, 2030, 6616, 24936, 7180, 15462, 345, 86, 2667, 883, 57871, 87262, 45702, 31394, 65, 590, 1370, 8896, 624, 2250, 86, 7294, 21862, 17184, 89, 12385, 12562, 331, 1466, 1118, 300, 624, 1427, 1174, 7180, 77, 93615, 467, 5305, 33756, 17859, 624, 2101, 642, 7180, 2746, 2521, 74, 89, 42443, 624, 23950, 46680, 11, 220, 20, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 17, 15, 25, 19, 20, 198, 33, 3122, 932, 2030, 7219, 350, 17, 625, 14033, 1960, 13, 56231, 44096, 1704, 33261, 1960, 14948, 2746, 6512, 1211, 2030, 33207, 82, 8793, 6538, 58442, 384, 27918, 46646, 12643, 624, 45614, 94905, 11, 220, 21, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 16, 16, 25, 15, 15, 198, 318, 6161, 50926, 883, 28789, 1013, 7522, 85725, 220, 17, 21862, 29023, 24396, 16053, 724, 5467, 7964, 2994, 2694, 26867, 277, 5451, 4081, 2391, 57064, 1032, 391, 932, 5419, 10928, 18576, 17, 10, 39614, 595, 9692, 15719, 5451, 21862, 82, 15719, 5342, 6616, 38805, 17859, 49503, 35505, 14840, 3845, 42528, 17, 77528, 198, 35, 3591, 46680, 11, 220, 23, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 16, 19, 25, 20, 15, 198, 41, 747, 1154, 10638, 58881, 10928, 7219, 53165, 14785, 7219, 25247, 594, 97696, 13, 19000, 5999, 6616, 28822, 572, 883, 37896, 15719, 13, 49266, 1370, 12583, 71126, 59330, 2185, 14047, 6395, 8688, 45996, 13, 14235, 12583, 25247, 594, 2746, 61430, 7256, 89452, 2185, 624, 35, 3591, 46680, 11, 220, 23, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 17, 16, 25, 17, 16, 198, 306, 86, 7294, 24440, 5699, 2649, 83, 1531, 3371, 655, 34123, 26949, 7865, 7219, 259, 16, 6395, 71593, 28698, 11, 12385, 24440, 142580, 4368, 4748, 268, 297, 46, 6395, 259, 17, 29167, 3122, 485, 6368, 267, 2694, 8151, 1387, 330, 50528, 94873, 674, 268, 5999, 8793, 7219, 45061, 674, 268, 6228, 86, 77968, 883, 26252, 13279, 2694, 1422, 424, 68573, 1112, 86, 77968, 937, 34699, 220, 18, 12, 19, 312, 3191, 2030, 834, 39430, 77327, 28551, 13279, 476, 74, 57871, 36077, 274, 23733, 275, 10638, 67278, 42745, 6913, 33198, 452, 67305, 12836, 75, 12715, 11, 2694, 8896, 350, 9913, 36433, 44096, 1704, 11, 74565, 64325, 267, 3845, 17790, 8793, 8641, 6395, 85623, 27899, 32870, 198, 74824, 1776, 12304, 5412, 968, 3893, 20572, 1727, 44, 1442, 1126, 331, 11, 220, 24, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 15, 22, 25, 17, 18, 198, 36, 507, 277, 861, 2521 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 74, 28149, 19957, 74565, 14821, 9089, 12836, 75, 12715, 10928, 47553, 13785, 37400, 268, 47827, 732, 68322, 14152, 342, 4905, 17298, 2015, 13, 90080, 44275, 15719, 2694, 2521, 74, 6616, 31380, 6395, 79913, 28831, 71865, 975, 6772, 22539, 34711, 13, 350, 16, 1032, 9532, 79, 309, 284, 52549, 2301, 13, 350, 17, 24906, 10, 10504, 10, 7687, 284, 76, 15938, 2301, 9338, 44, 1442, 1126, 331, 11, 220, 24, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 16, 17, 25, 16, 15, 198, 18654, 34699, 15229, 4246, 2030, 505, 8371, 39307, 3293, 595, 15958, 12754, 83880, 5451, 220, 15, 69370, 11, 289, 15422, 72, 304, 17443, 6538, 220, 20, 9071, 34699, 15229, 89, 342, 3435, 834, 24162, 650, 261, 35608, 7714, 708, 6538, 58442, 2994, 24936, 25494, 1148, 676, 2030, 2714, 74492, 2576, 22539, 34711, 47827, 1112, 60637, 34699, 79913, 6538, 74021, 96042, 5451, 476, 2787, 2739, 385, 1440, 304, 220, 16, 13, 20, 20955, 47, 198, 896, 1038, 19104, 10928, 8793, 23738, 68876, 24440, 2499, 2660, 5451, 655, 34123, 6055, 83, 66809, 23738, 2694, 93250, 71865, 5999, 198, 47789, 261, 98552, 26109, 47143, 220, 16, 8641, 4499, 17029, 11, 1147, 48418, 11687, 6538, 8182, 82, 22571, 91, 35907, 75, 12715, 23703, 320, 24, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 16, 17, 25, 16, 18, 340, 44, 1442, 1126, 331, 11, 220, 24, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 16, 17, 25, 19, 22, 198, 36, 7964, 22075, 2746, 2521, 2787, 37699, 28086, 2521, 74, 861, 26867, 277, 5699, 60322, 24929, 12647, 2501, 572, 8793, 13, 86417, 25531, 7219, 2746, 8172, 274, 5467, 7964, 13, 58089, 83, 8641, 2746, 2521, 74, 81574, 549, 151643, 5668, 25, 220, 16, 19, 13, 80157, 220, 17, 15, 16, 21, 760, 5052, 42, 12, 14373, 481, 8105, 11171, 68, 50158, 7180, 3371, 29505, 7673, 13431, 1107, 15843, 265, 285, 198, 30124, 86, 7673, 44278, 13, 8408, 468, 18, 12, 80157, 23647, 939, 220, 16, 13, 16013, 29505, 7673, 44278, 43303, 304, 2694, 29618, 3187, 75, 13256, 137256, 304, 2694, 328, 56188, 220, 17, 15, 16, 20, 14, 220, 17, 15, 16, 21, 6616, 11331, 7997, 47808, 422, 17707, 13, 21766, 220, 19, 15, 51333, 1960, 2030, 17058, 350, 539, 14320, 16597, 6538, 488, 22, 18, 9089, 13820, 9089, 2746, 29860, 82, 20542, 6538, 46055, 11331, 1579, 5016, 23692, 650, 45061, 54708, 5451, 220, 16, 18, 8495, 4370, 2030, 17443, 1230, 805, 31722, 268, 5822, 423, 15141, 2746, 2157, 9303, 20542, 13, 96943, 357, 613, 665, 6616, 7909, 4443, 31665, 275, 15141, 619, 12765, 30022, 1194, 5451, 220, 24, 20, 25620, 3662, 33370, 350, 23647, 57465, 39337, 3371, 52747, 1527, 901, 3092, 10712, 10928, 5451, 12222, 220, 17, 17, 98863, 306, 23647, 2746, 28822, 3680, 896, 4079, 2694, 59027, 13, 18520, 8182, 198, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 17, 16, 25, 15, 22, 38183, 7288, 12839, 20411, 25, 18207, 7288, 83034, 16030, 8182, 198, 21884, 3104, 15113, 261, 939, 83513, 386, 2010, 11595, 93094, 198, 57, 404, 303, 32842, 10270, 2010, 11595, 13, 3303, 220, 16, 16, 13, 2030, 220, 16, 17, 13, 80157, 282, 437, 2694, 220, 20, 13, 2030, 220, 21, 13, 4929, 1704, 16034, 44979, 10861, 732, 21837, 40474, 304, 1863, 404, 303, 32842, 13279, 451, 93356, 67317, 13, 49371, 264, 13920, 35363, 59787, 342, 27918, 13279, 1850, 336, 330, 81923, 86, 21405, 1, 7219, 3371, 136740, 37888, 20408, 8688, 268, 431, 1241, 74, 1723, 11, 2694, 5451, 1147, 2636, 77, 8099, 649, 1387, 3492, 32289, 328, 17149, 290, 268, 32387, 12032, 4116, 13, 12741, 431, 1241, 74, 1723, 11, 2694, 32101, 2861, 6395, 56946, 21176, 4116, 11, 5999, 47355, 2694, 18977, 509, 2128, 2030, 3972, 2798, 267, 24638, 68, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 17, 15, 25, 18, 19, 38183, 7288, 12839, 20411, 25, 18207, 197, 6667, 83034, 16030, 8182, 198, 33, 669, 268, 13, 1260, 1070, 386, 39563, 1411, 45699, 57519, 41544, 1225, 276, 23446, 350, 70551, 304, 2746, 31394, 267, 6712, 304, 2694, 4312, 11335, 135786, 4368, 2030, 357, 58193, 9820, 41544, 1225, 276, 23446, 386, 6309, 458, 73761, 546, 5566, 46745, 15938, 17454, 13, 8408, 350, 70551, 83572, 9089, 7219, 6616, 31394, 41137, 826, 301, 90360, 387, 42316, 2030, 52434, 6616, 91718, 28421, 3667, 7219, 709, 14877, 7522, 13, 1527, 21062, 56400, 408, 357, 35010, 4368, 350, 70551, 304, 2746, 31394, 267, 6712, 4368, 11, 1197, 38130, 76, 2746, 92670, 33370, 73761, 546, 5566, 46745, 15938, 17454, 2030, 55879, 26769, 458, 15462, 54936, 14668, 350, 70551, 13906, 2429, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 24, 25, 20, 18, 38183, 7288, 12839, 20411, 25, 2502, 4943, 4865, 197, 6667, 83034, 16030, 8182, 198, 43, 1122, 529, 2577, 301, 2030, 939, 17965, 29553, 269, 3091, 449, 16030, 74354, 309, 198, 6406, 524, 55836, 13, 45481, 93688, 19875, 8224, 46680, 81687, 2746, 444, 1122, 529, 2577, 301, 2030, 2694, 17965, 29553, 269, 6395, 17443, 74354, 24774, 77748, 21673, 910, 669, 27045, 529, 304, 3371, 15854, 278, 939, 58093, 36437, 2145, 78, 1079, 4389, 12620, 20175, 304, 3089, 524, 55836, 4368, 13, 12741, 98376, 4188, 524, 19289, 258, 444, 1122, 529, 2577, 301, 9421, 3089, 524, 55836, 548, 90930, 17029, 40462, 2502, 2956, 60273, 31749, 13977, 261, 910, 269, 68091, 2628, 7180, 98376, 331, 2956, 265, 13, 12741, 61217, 8362, 64208, 41203, 444, 22181, 9421, 61606, 42469, 547, 3627, 7276, 321, 5676, 11, 2694, 54936, 632, 8362, 5999, 9820, 13222, 52310, 458, 3371, 67703, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 24, 25, 18, 15, 38183, 7288, 12839, 20411, 25, 17152, 197, 6667, 83034, 16030, 8182, 198, 35, 30725, 9299, 562, 278, 25, 15687, 613, 2694, 1863, 14387, 819, 1323, 2391, 1107, 198, 44, 2010, 11595, 13, 3303, 60404, 46680, 23692, 351, 47650, 304, 2694, 137194, 267, 6712, 2694, 422, 29862, 8536, 3959, 7671, 1241, 288, 44870, 2746, 15681, 277, 11595, 7180, 2746, 220, 16, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 422, 30725, 9299, 562, 278, 81, 28865, 9421, 28852, 535, 13, 44462, 9656, 30017, 33598, 65161, 5055, 10980, 71, 2391, 465, 258, 50557, 29543, 59385, 13, 758, 31008, 48158, 431, 28865, 11, 2746, 13368, 732, 66968, 37419, 26252, 732, 13023, 26972, 12, 4459, 355, 9421, 455, 56364, 14821, 11, 26949, 3818, 2746, 19087, 304, 9443, 12968, 2825, 58498, 25, 19087, 1365, 29626, 1967, 15558, 76147, 320, 81761, 5342, 7272, 304, 2746, 220, 17, 13, 59027, 1215, 5883, 220, 16, 23, 24, 18, 44850, 76147, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 24, 25, 15, 22, 38183, 7288, 12839, 20411, 25, 18207, 197, 6667, 83034, 16030, 8182, 198, 3803, 53579, 7180, 5537, 1574, 2030, 16942, 74, 1609, 10559, 65314, 91184, 1191, 295, 198, 39, 38809, 13, 330, 18175, 4445, 2145, 4968, 3187, 31509, 6538, 10147, 331, 2030, 55734, 482, 69, 273, 16053, 52549, 83630, 6772, 11, 14948, 4368, 547, 2277, 268, 2712, 4368, 746, 5679, 35141, 13, 86417, 7180, 12304, 13017, 7231, 1371, 60729, 9820, 61550, 34037, 542, 46621, 16034, 44966, 84590, 9820, 16111, 2787, 373, 89452, 2185, 304, 2694, 4445, 276, 268, 16447, 1064, 13, 19929, 1021, 10928, 7180, 41983, 4268, 86, 61811, 21673, 13017, 7231, 1371, 304, 472, 38809, 67594, 1531, 47332, 301, 12, 2030, 8688, 1626, 380, 343, 2694, 293, 433, 485, 58534, 19349, 11, 18520, 485, 15577, 1371, 482, 7219, 89, 392, 45258, 11, 2746, 6616, 289, 61811, 20005, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 23, 25, 20, 21, 38183, 7288, 12839, 20411, 25, 24647, 615, 437, 197, 6667, 83034, 16030, 8182, 198, 39, 23544, 459, 12, 60669, 13279, 3371, 9785, 31963, 198, 57, 27105, 8051, 652, 2061, 64, 483, 268, 7180, 18207, 1536, 9421, 2429, 74219, 42374, 529, 39867, 321, 1859, 198, 39, 1020, 1975, 11374, 65845, 7673, 44278, 13, 330, 38, 3894, 1330, 309, 37146, 1, 1365, 21506, 36744, 18977, 983, 282, 61700, 21982, 220, 21, 13, 14840, 220, 16, 15, 13, 80157, 304, 27729, 1975, 2746, 9785, 31963, 7219, 5313, 261, 25570, 1952, 67317, 13, 220, 19, 13, 23, 15, 15, 18207, 1536, 2030, 18207, 1536, 34711, 13703, 343, 1960, 52434, 24440, 64894, 19294, 2030, 342, 40308, 633, 64786, 2429, 9785, 31963, 85744, 330, 6984, 343, 24440, 7107, 288, 3263, 220, 16, 24, 95710, 18207, 23118, 11, 13785, 220, 17, 13, 15, 15, 15, 35246, 1440, 35225, 20005, 472, 490, 261, 11, 38574, 273, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 23, 25, 17, 19, 38183, 7288, 12839, 20411, 25, 18207, 197, 6667, 83034, 16030, 8182, 198, 49, 43506, 67138, 25, 647, 1268, 92707, 135573, 7256, 304, 547, 11278, 64, 723, 198, 54, 370, 932, 13, 3303, 220, 18, 16, 13, 4350, 18731, 220, 17, 15, 16, 21, 1353, 59141, 57519, 41544, 1225, 276, 23446, 350, 70551, 304, 9820, 98344, 732, 1163, 51078, 301, 28129, 304, 467, 370, 932, 4368, 2030, 44628, 50958, 21506, 33328, 39416, 6538, 5016, 1854, 86, 71378, 86714, 783, 21982, 98344, 15940, 10573, 261, 13, 23980, 261, 582, 4079, 665, 9089, 5451, 17443, 69252, 7522, 76, 36370, 2030, 2739, 1149, 89282, 15462, 2694, 350, 70551, 732, 20404, 4865, 13, 8408, 350, 70551, 15122, 392, 1960, 86714, 783, 11, 4368, 69830, 15410, 21470, 39307, 9820, 1599, 12, 1611, 13, 1527, 21062, 56400, 408, 1320, 2391, 13920, 33748, 2746, 350, 70551, 304, 41544, 1225, 276, 23446, 57123, 2185, 13, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 19, 25, 18, 21, 38183, 7288, 12839, 20411, 25, 2502, 4943, 4865, 197, 6667, 83034, 16030, 8182, 198, 6464, 2391, 811, 31915, 25423, 17454, 1205, 275, 388, 78, 15843, 78, 278, 680, 732, 29618, 285, 198, 30124, 86, 7673, 13431, 1107, 13, 330, 32617, 78796, 285, 2694, 87727, 25581, 71965, 8896, 94063, 811, 9740, 35608, 11595, 8793, 2714, 30166, 654, 83, 13, 9774, 76018, 17630, 16111, 6975, 7219, 17443, 139554, 268, 451, 39219, 26184, 87481, 13, 19000, 5999, 9820, 62702, 69028, 7180, 2746, 99122, 497, 5699, 265, 20319, 94063, 12495, 6222, 1726, 9034, 258, 67588, 2210, 42722, 17562, 304, 17058, 4111, 325, 1763, 55632, 2185, 13, 330, 36, 5428, 331, 24638, 83, 8896, 6975, 6616, 11386, 383, 22080, 331, 811, 12487, 2694, 12907, 35, 732, 29618, 285, 2030, 1197, 83, 2305, 355, 13920, 6616, 2694, 48029, 38, 304, 883, 7522, 2521, 1960, 11, 16034, 278, 97144, 3660, 68, 3591, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 16, 25, 17, 23, 38183, 7288, 12839, 20411, 25, 15928, 1579, 197, 6667, 83034, 16030, 8182, 198, 37842, 301, 47375, 331, 440, 732, 44812, 83126, 2015, 198, 49, 7664, 403, 1536, 939, 3184, 815, 12, 60669, 2694, 19087, 386, 2010, 11595, 97696, 30632, 16358, 89, 6817, 198, 44, 2010, 11595, 13, 2823, 318, 431, 6130, 21477, 450, 826, 23118, 10911, 40193, 304, 12369, 30664, 2347, 30102, 268, 11, 17443, 19360, 15843, 75, 13256, 431, 40193, 13785, 24396, 2956, 11008, 431, 22157, 5451, 1640, 4188, 35225, 220, 23, 19, 37888, 4413, 932, 11, 64015, 2694, 386, 2010, 71622, 3184, 815, 12, 14597, 10911, 7664, 403, 1536, 86679, 47375, 331, 440, 10712, 83126, 2015, 26252, 54459, 38897, 27941, 13256, 6952, 267, 7253, 268, 13, 2362, 44812, 17058, 57093, 137316, 904, 268, 3089, 11042, 826, 30622, 375, 11, 2746, 9089, 14047, 53936, 37656, 21982, 49753, 668, 4188, 61007, 42668, 11, 64015, 58442, 16034, 49279, 1854, 12222, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 15, 25, 18, 21, 38183, 7288, 12839, 20411, 25, 18207, 197, 6667, 83034, 16030, 8182, 198, 37, 56721, 13796, 13, 468, 16676, 83904, 26824, 52185, 56795, 546, 70, 1197, 40231, 33748, 41544, 1225, 276, 23446, 350, 70551, 1079, 11840, 94905, 11, 220, 16, 17, 13, 80157, 11, 47226, 220, 16, 13, 18, 15, 2030, 220, 21, 38183, 13, 8408, 350, 70551, 1197, 40231, 33748, 3371, 393, 28600, 11, 12442, 9034, 7219, 17443, 15438, 266, 59785 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 135522, 732, 730, 559, 276, 3591, 28129, 11, 21506, 17443, 3261, 403, 668, 6969, 32863, 4116, 11, 7219, 8793, 61606, 23446, 1205, 1064, 13, 12741, 393, 28600, 8896, 6616, 61169, 20005, 15378, 2986, 28324, 22299, 5251, 41, 220, 17, 16, 15, 2030, 5999, 220, 18, 20, 13, 15, 15, 15, 19461, 289, 529, 13, 49633, 41210, 67382, 458, 2746, 3651, 551, 380, 367, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 15, 24, 25, 18, 19, 38183, 7288, 12839, 20411, 25, 2502, 4943, 4865, 197, 6667, 83034, 16030, 8182, 198, 40, 57447, 6051, 17029, 13785, 20004, 93590, 732, 7377, 268, 467, 37121, 198, 58, 220, 17, 24, 13, 80157, 220, 17, 15, 16, 21, 26, 220, 16, 20, 25, 15, 15, 14840, 220, 16, 22, 25, 15, 15, 13, 220, 16, 20, 25, 15, 15, 14840, 220, 16, 22, 25, 15, 15, 13, 2279, 730, 80561, 13, 12741, 15723, 1574, 467, 37121, 16111, 5840, 9089, 650, 91184, 2257, 7219, 2746, 1527, 87227, 11595, 2030, 53899, 61806, 2694, 20004, 93590, 9421, 13, 78021, 13368, 1494, 268, 17210, 7231, 2030, 44492, 2185, 220, 19, 13, 15, 53383, 30, 95817, 7219, 26769, 67232, 82590, 529, 2694, 54936, 632, 47355, 2694, 56740, 330, 33, 695, 2185, 220, 19, 13, 15, 1, 2694, 17210, 7231, 12, 2030, 8536, 2010, 74, 66599, 320, 40, 57447, 8, 730, 80561, 47435, 10269, 304, 29317, 9262, 5451, 2429, 45311, 42, 7671, 261, 1704, 16892, 695, 2185, 9081, 1854, 331, 1854, 1079, 32618, 1126, 331, 11, 220, 17, 24, 13, 80157, 11, 47226, 220, 16, 20, 2030, 220, 16, 22, 38183, 13, 27524, 151643, 18175, 56381, 64938, 12, 1654, 90550, 81006, 423, 2301, 2185, 481, 29505, 2305, 65, 10559, 3877, 198, 18175, 56381, 64938, 12, 1654, 90550, 81006, 423, 2301, 2185, 198, 32617, 1205, 90550, 15938, 1991, 365, 6130, 80885, 939, 64938, 5999, 12743, 471, 295, 13, 758, 36744, 37419, 12583, 220, 17, 15, 69299, 220, 20, 15, 15, 49627, 304, 2694, 6250, 2301, 2185, 11, 2746, 3371, 16868, 58791, 6433, 42678, 6130, 932, 7180, 220, 16, 16, 3128, 349, 17312, 90769, 12743, 32863, 12643, 624, 32, 35649, 13, 758, 2694, 24851, 5679, 758, 12495, 44278, 64857, 220, 17, 15, 69299, 220, 20, 15, 15, 66761, 2963, 11, 2746, 28789, 67703, 1205, 90550, 15938, 1991, 365, 6130, 80885, 939, 758, 12495, 44278, 19289, 1330, 2739, 54337, 12643, 13, 330, 47789, 288, 37419, 1424, 3818, 1531, 9089, 4443, 220, 17, 15, 69299, 220, 20, 15, 15, 49627, 304, 2694, 60021, 54594, 6433, 49667, 6691, 355, 96346, 2185, 11, 51939, 10928, 2746, 28275, 39416, 50499, 26949, 3818, 13279, 2694, 362, 39470, 9820, 30976, 273, 497, 138936, 4311, 13297, 46069, 18703, 4818, 30753, 624, 1514, 275, 2429, 220, 16, 13, 74882, 1377, 20048, 2746, 61291, 140729, 11, 7906, 52662, 4438, 406, 2032, 11, 15462, 31008, 58459, 12495, 2988, 20480, 7180, 40745, 3128, 349, 22539, 34711, 13, 70219, 93339, 3893, 42316, 12643, 2746, 42678, 4382, 304, 2694, 29505, 2305, 65, 17739, 3877, 39307, 7219, 2694, 67435, 2030, 5573, 97528, 632, 6538, 362, 35649, 4311, 49183, 13, 8408, 42678, 6130, 1469, 27298, 1531, 1365, 28883, 58154, 30781, 524, 1365, 304, 50041, 13017, 73461, 11, 2746, 1079, 67703, 1205, 90550, 15938, 1991, 365, 6130, 80885, 939, 64938, 77414, 37060, 624, 57, 372, 2341, 5840, 585, 360, 96049, 5145, 2694, 362, 39470, 12583, 13906, 37357, 6433, 350, 8535, 2746, 220, 17, 15, 77200, 2986, 4733, 304, 17443, 9460, 562, 269, 704, 19767, 2746, 758, 12495, 44278, 27684, 21176, 2030, 17630, 9089, 13906, 2429, 362, 278, 798, 85455, 11855, 7180, 4368, 44492, 2309, 17029, 13, 55448, 43173, 663, 18045, 431, 805, 331, 1536, 4116, 28789, 9460, 562, 269, 704, 49536, 2030, 40153, 665, 6616, 59363, 2694, 472, 21545, 1536, 25, 330, 32617, 5999, 9820, 2256, 362, 39470, 11, 2746, 304, 36744, 37419, 773, 289, 529, 85, 965, 13368, 17790, 11316, 5999, 13, 61043, 485, 6376, 9913, 533, 758, 12495, 44278, 512, 12755, 2030, 6616, 85239, 16111, 12412, 1763, 1189, 19000, 1205, 90550, 15938, 1991, 365, 6130, 80885, 95035, 64938, 19104, 10928, 28883, 2746, 33506, 96146, 2739, 61194, 93908, 13, 330, 32, 652, 22075, 8793, 37699, 11, 54505, 24929, 31011, 75018, 2694, 43173, 13, 151643, 623, 838, 1580, 268, 28883, 59409, 778, 17392, 39455, 4370, 55734, 3135, 65, 27097, 198, 22171, 70536, 258, 13279, 434, 2010, 7725, 14773, 50232, 3342, 25494, 36077, 73794, 624, 5349, 695, 87165, 25, 9740, 7526, 1863, 287, 70, 11, 6271, 340, 18175, 3496, 89, 13279, 386, 2010, 29626, 282, 50753, 665, 25494, 36077, 73794, 624, 5349, 695, 87165, 25, 24807, 425, 13977, 2576, 331, 11, 6271, 340, 22171, 44602, 1117, 68, 5999, 625, 1862, 331, 85, 965, 11, 1736, 295, 6271, 12, 1474, 34181, 328, 13, 1079, 7577, 94540, 76, 39563, 624, 5349, 695, 87165, 25, 34181, 328, 11, 6271, 340, 18175, 55734, 449, 8896, 2746, 42229, 1489, 332, 471, 6433, 3184, 268, 142845, 304, 2694, 98359, 7219, 7577, 94540, 2770, 6664, 69, 6772, 13785, 84884, 13, 386, 783, 11595, 13785, 59409, 778, 485, 5016, 2305, 5183, 1501, 645, 7964, 9421, 13, 33328, 60297, 304, 3371, 730, 30954, 268, 91045, 258, 2030, 39013, 392, 34271, 268, 5699, 2391, 5566, 7714, 1531, 13368, 9421, 69252, 9779, 77, 624, 22171, 451, 1122, 388, 331, 13363, 778, 331, 6566, 71865, 21454, 7219, 2694, 1674, 79, 724, 2391, 67, 61065, 11, 732, 730, 30954, 39013, 392, 34271, 268, 39307, 458, 3371, 16942, 267, 21673, 647, 9819, 2752, 13, 2362, 77549, 5183, 55449, 28698, 2746, 451, 1122, 388, 331, 22851, 76, 826, 268, 467, 13820, 47226, 220, 16, 15, 15, 2030, 220, 16, 20, 19, 25471, 3184, 268, 462, 63948, 266, 59422, 11, 13368, 2694, 467, 21405, 67, 3591, 267, 6212, 24612, 14373, 1079, 7577, 94540, 5451, 55632, 665, 624, 16, 20, 19, 25471, 3184, 268, 304, 4892, 75999, 198, 6406, 275, 5679, 265, 2015, 4116, 5451, 220, 16, 20, 19, 38251, 932, 3184, 268, 4892, 75999, 732, 308, 2956, 6498, 21673, 47355, 939, 77549, 7584, 517, 2382, 13, 758, 362, 8698, 385, 55879, 1531, 93539, 328, 17612, 6212, 24612, 220, 16, 19, 15, 25471, 3184, 268, 13, 11473, 1528, 451, 1122, 388, 331, 22851, 76, 826, 268, 59095, 5676, 77556, 12304 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 57519, 48015, 13906, 624, 1427, 730, 30954, 39013, 392, 34271, 268, 3072, 6212, 24612, 14373, 467, 13820, 47226, 220, 19, 20, 2030, 220, 24, 20, 25471, 451, 1122, 388, 331, 13363, 13, 19000, 752, 16776, 9136, 301, 304, 3377, 6538, 3184, 268, 11, 668, 17058, 136142, 6538, 220, 16, 18, 15, 15, 14840, 220, 16, 20, 15, 15, 6212, 932, 5699, 811, 632, 1531, 29167, 80781, 41210, 13, 55448, 732, 2988, 610, 1933, 1217, 4711, 68, 1531, 37146, 11, 3275, 7865, 18955, 47650, 47226, 220, 18, 15, 2030, 4937, 220, 20, 15, 25471, 31247, 461, 529, 624, 18175, 74519, 4195, 27277, 898, 38809, 2746, 49666, 301, 458, 5342, 6433, 2030, 1411, 53776, 472, 76141, 1640, 431, 60135, 13, 386, 783, 11595, 13785, 59409, 778, 485, 5016, 2305, 5183, 326, 8535, 60637, 1079, 7577, 94540, 76, 39563, 8793, 13906, 13, 2362, 730, 30954, 39013, 392, 34271, 268, 26109, 2746, 794, 24638, 68, 2694, 17968, 14033, 17739, 425, 29560, 320, 72162, 33, 8, 304, 5347, 436, 21506, 14877, 7522, 11, 95524, 2746, 8564, 645, 732, 2340, 49191, 343, 2863, 47226, 5016, 4813, 2030, 434, 1776, 285, 13, 19000, 425, 29560, 29159, 37060, 738, 89282, 16034, 16742, 2694, 9970, 351, 18849, 18598, 325, 4368, 624, 641, 1991, 288, 35225, 511, 3591, 2746, 451, 1122, 388, 331, 43183, 709, 14047, 2714, 3667, 2823, 324, 55632, 2185, 19104, 2770, 6664, 69, 6772, 65078, 46014, 268, 11, 85389, 75626, 328, 22396, 11, 328, 1726, 9034, 258, 2694, 730, 30954, 2154, 337, 551, 72, 39013, 392, 34271, 268, 11, 1079, 7577, 94540, 7219, 1527, 83301, 13, 758, 2694, 98359, 42668, 21506, 61805, 336, 2694, 2988, 2391, 301, 391, 395, 83281, 3360, 1330, 331, 22851, 14410, 79, 615, 83, 12643, 47827, 13, 2362, 2340, 49191, 343, 2863, 4116, 2746, 3841, 8801, 896, 4079, 9421, 1389, 19358, 83, 11, 52507, 73794, 939, 24242, 10798, 86873, 304, 4368, 47375, 27684, 76166, 4116, 624, 83953, 98877, 1923, 268, 95013, 622, 36964, 5451, 773, 9971, 301, 3184, 268, 511, 3591, 59409, 778, 485, 5016, 2305, 5183, 1197, 84884, 11, 85389, 50062, 21793, 86, 5769, 21982, 425, 34271, 1194, 362, 2501, 7180, 39449, 709, 96922, 13, 5016, 2305, 5183, 59409, 778, 17392, 20004, 26331, 288, 511, 3591, 8725, 14649, 2739, 73938, 529, 30179, 19767, 2746, 93615, 647, 29886, 485, 275, 11595, 304, 3371, 77775, 58217, 2030, 13279, 3371, 3841, 8801, 896, 71, 1440, 624, 6123, 8801, 896, 71, 1440, 7219, 3371, 2823, 16676, 198, 53, 263, 21113, 268, 13785, 1489, 332, 33748, 730, 613, 932, 10207, 4865, 33748, 1079, 7577, 94540, 76, 39563, 2746, 794, 13, 479, 13956, 730, 30954, 2154, 337, 551, 72, 11, 2746, 89458, 8221, 1404, 3651, 551, 72, 11, 2746, 14168, 261, 730, 30954, 2154, 337, 551, 72, 39307, 2746, 21491, 42888, 5342, 10453, 11426, 288, 9896, 551, 72, 13, 8408, 47375, 9433, 20480, 2714, 6023, 301, 1960, 141786, 6538, 3371, 3841, 8801, 896, 4079, 144004, 25061, 13, 2362, 730, 30954, 794, 13, 24877, 268, 282, 50753, 665, 2694, 422, 27097, 1580, 268, 6395, 77556, 220, 16, 15, 15, 3841, 8801, 896, 71, 265, 1330, 14033, 5679, 13, 51709, 268, 13785, 1489, 332, 33748, 730, 613, 932, 55879, 1531, 72943, 40522, 3818, 40775, 81, 23747, 11595, 11, 10489, 1902, 65845, 72419, 665, 4509, 27277, 12385, 425, 2305, 3885, 11, 2746, 7219, 4509, 27277, 357, 5186, 89, 1960, 13, 2362, 89458, 65, 3891, 342, 27918, 220, 23, 15, 2806, 81, 66075, 13279, 3371, 84247, 144004, 25061, 4368, 13, 2362, 730, 30954, 14168, 1147, 90785, 665, 2746, 3651, 551, 72, 220, 18, 15, 386, 783, 11595, 624, 32, 1387, 304, 3371, 730, 30954, 268, 362, 858, 2863, 2030, 11473, 8767, 399, 305, 13029, 1960, 2746, 3184, 268, 142845, 18520, 485, 3841, 8801, 896, 71, 1440, 7219, 1163, 370, 13, 758, 69791, 730, 30954, 268, 33661, 1531, 6395, 4759, 220, 17, 15, 60352, 14033, 5679, 13, 6569, 482, 308, 2667, 724, 86, 13820, 74890, 2660, 2739, 85740, 68, 2746, 730, 30954, 2154, 337, 551, 72, 17226, 11, 72170, 83281, 5016, 811, 823, 5583, 13, 5016, 811, 823, 541, 42137, 13279, 67775, 86, 395, 10080, 69, 15113, 4368, 647, 16568, 321, 11, 2994, 2694, 3680, 1489, 1854, 2694, 451, 1122, 388, 331, 43183, 709, 73197, 61897, 529, 86913, 11, 85389, 3651, 551, 285, 1726, 9034, 48620, 72, 9680, 7070, 13, 18069, 7256, 16809, 1194, 1674, 2752, 79, 54840, 325, 3091, 15795, 19104, 83281, 5016, 811, 823, 5583, 14410, 79, 615, 83, 12643, 13, 479, 4659, 15897, 6772, 595, 24774, 10928, 2746, 62162, 603, 1845, 16597, 613, 50244, 615, 71, 54736, 11, 663, 5556, 2863, 2030, 8280, 50319, 74565, 624, 22171, 70536, 258, 47226, 20751, 266, 25646, 1011, 14773, 2030, 11461, 50259, 1370, 29626, 289, 550, 77158, 41210, 15462, 49666, 301, 2685, 7219, 11, 3371, 2714, 12222, 12304, 220, 16, 15, 14840, 220, 18, 15, 48015, 55449, 4865, 11, 13368, 21793, 86, 5769, 21982, 425, 34271, 1194, 362, 2501, 7180, 39449, 709, 96922, 85389, 624, 64747, 333, 1117, 68, 77414, 41210, 13785, 2746, 547, 802, 633, 85885, 198, 641, 2694, 29181, 11039, 21062, 896, 449, 5999, 2746, 5016, 333, 542, 1466, 3342, 47226, 70536, 13573, 57588, 2030, 2694, 5016, 273, 810, 65966, 1279, 21506, 14877, 7522, 11, 13368, 2746, 55734, 3135, 17739, 70536, 20868, 2305, 30353, 70430, 33748, 13, 8408, 67775, 86, 395, 4195, 277, 440, 6538, 220, 23, 17, 15, 1863, 306, 25334, 39307, 220, 17, 22, 20, 15, 62549, 1579, 59422, 462, 49241, 28865, 42137, 10489, 1902, 331, 12153, 13, 8408, 77775, 26976, 9736, 34538, 15082, 1079, 70536, 258, 289, 676, 4711, 9089, 34699, 6616, 6973, 71, 10938, 67775, 86, 33758, 939, 2988, 82872, 5451, 12595, 22837, 11, 49607, 823, 277, 7964, 268, 67775, 86, 395, 388, 712, 1440, 320, 23703, 3430, 7255, 12992, 4292, 32617, 1863, 5186, 9034, 362, 2501, 7180, 73794, 11, 3680, 13464, 11, 468, 63274, 2030, 88049, 320, 14419, 2749, 8, 54754, 723, 10928, 2746, 67775, 86, 395, 10080, 69, 15113, 732, 44336, 3891, 13532, 333, 1117, 68, 10712, 2714, 383, 65, 6772, 4368, 13, 1527, 4368, 6433, 794, 15671, 5999, 2694, 13532, 333, 1117, 68, 47143, 13785, 2746, 547, 802, 633, 85885, 13, 8408, 794, 329, 790, 337, 551, 72, 547, 3667, 3091, 5342, 1079, 7577, 94540, 95710, 58534, 3435, 2125 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 96673, 83281, 49371, 1489, 332, 2185, 46016, 1440, 13, 151643, 16, 17, 21765, 68, 81501, 562, 309, 9247, 2030, 49342, 676, 277, 349, 25, 71448, 66362, 22840, 64, 15738, 86389, 481, 17582, 27929, 198, 59243, 25, 30976, 62785, 220, 16, 23, 56580, 198, 16, 14, 16, 23, 21341, 883, 2746, 5586, 11599, 1079, 8082, 10798, 17261, 20007, 17029, 11, 17837, 27918, 10928, 304, 566, 318, 17739, 42678, 2305, 778, 932, 25714, 38130, 5676, 11, 2746, 4937, 773, 2341, 5840, 585, 360, 13977, 13368, 56580, 9421, 27521, 12583, 13, 49342, 25, 30976, 62785, 198, 18, 15, 13, 15, 18, 13, 17, 15, 16, 22, 444, 3083, 79, 813, 1967, 3065, 198, 43930, 1065, 11, 1674, 7658, 277, 11, 2502, 64, 454, 43226, 11, 92671, 3296, 11, 30081, 290, 11, 65350, 198, 34, 30457, 89, 392, 2636, 9416, 12, 8813, 84, 89249, 75563, 42068, 1937, 288, 26105, 6538, 3261, 300, 573, 7180, 52795, 14933, 198, 21666, 645, 65, 665, 50201, 647, 1268, 342, 59391, 7256, 75074, 69, 15113, 74, 309, 9247, 732, 51309, 54371, 14804, 9450, 68989, 8596, 343, 8948, 68, 30, 75074, 69, 15113, 74, 309, 9247, 7180, 52795, 14933, 19000, 294, 98280, 362, 4733, 151643, 32887, 7964, 6222, 49539, 31477, 861, 12307, 59380, 471, 28855, 198, 19795, 32887, 7964, 6222, 49539, 479, 3096, 11961, 39959, 530, 471, 28855, 32887, 7964, 6222, 49539, 479, 3096, 11961, 39959, 530, 471, 28855, 198, 9286, 28855, 67919, 18, 17, 15, 22, 20, 16, 198, 32887, 65, 1469, 11, 31656, 7253, 10938, 431, 535, 3004, 74947, 2185, 13, 28869, 828, 16515, 12, 63361, 43, 5999, 32101, 2861, 330, 77, 33758, 1, 10712, 73794, 11, 294, 860, 13, 1531, 3318, 61007, 33312, 137609, 22823, 11, 2739, 3612, 25423, 83, 3841, 32030, 50499, 2030, 88049, 9421, 3371, 431, 535, 79, 23647, 11, 1353, 74919, 10928, 19767, 21249, 440, 431, 535, 21062, 28698, 14840, 16034, 330, 4188, 22157, 1, 6212, 541, 13906, 11, 8185, 377, 4711, 10928, 304, 294, 9692, 5016, 1112, 508, 1205, 41846, 48842, 5133, 46, 58047, 1080, 12, 63361, 75, 431, 535, 3004, 74947, 2185, 198, 9286, 28855, 67919, 18, 17, 15, 22, 20, 15, 198, 9286, 28855, 67919, 18, 17, 15, 22, 19, 23, 198, 9286, 28855, 67919, 16, 20, 24, 24, 15, 16, 198, 44, 63233, 32887, 1371, 2739, 62785, 426, 55928, 51145, 135266, 32197, 10559, 90080, 52028, 268, 13, 8408, 13804, 68, 5999, 38805, 35323, 25, 883, 5786, 13920, 54493, 20491, 392, 304, 9820, 68929, 23559, 1371, 2030, 15719, 24929, 458, 55928, 2818, 65, 6433, 794, 6712, 939, 387, 495, 28324, 268, 74219, 82, 20300, 7714, 458, 1323, 27918, 13, 16887, 52507, 1531, 9089, 4443, 9820, 47227, 36616, 1424, 3818, 11, 20048, 1112, 508, 1205, 41846, 48842, 5133, 9286, 28855, 67919, 16, 20, 24, 24, 15, 17, 198, 9286, 28855, 67919, 16, 20, 24, 24, 15, 19, 198, 44, 63233, 746, 22143, 20252, 12, 6666, 7539, 320, 19, 20300, 7714, 340, 9286, 28855, 67919, 16, 19, 20, 21, 16, 15, 198, 19719, 59380, 220, 16, 42, 15843, 359, 267, 12982, 89, 59785, 36616, 7180, 1967, 1387, 8935, 277, 7964, 198, 51, 3585, 3627, 47227, 36616, 19677, 30849, 198, 9286, 28855, 67919, 16, 19, 20, 21, 15, 20, 198, 26223, 77, 610, 273, 32030, 10938, 1967, 1387, 8935, 277, 1371, 11, 80331, 12982, 89, 11, 14047, 77259, 220, 21, 22, 20, 16, 15, 11, 64215, 2545, 8887, 73607, 198, 51, 3585, 3627, 1967, 1387, 8935, 277, 1371, 14773, 134803, 198, 9286, 28855, 67919, 16, 19, 20, 21, 15, 15, 198, 51, 1134, 273, 1387, 8935, 277, 1371, 11, 5412, 713, 69, 529, 7256, 13452, 1371, 7180, 758, 12495, 12, 2030, 142791, 276, 495, 12063, 11, 24743, 723, 83, 20521, 77, 408, 11, 7219, 6381, 884, 5524, 88826, 13, 9740, 130655, 6772, 304, 9443, 85953, 13452, 12755, 2956, 12495, 25, 393, 11637, 11, 479, 2749, 33, 320, 51731, 220, 16, 15, 17, 21, 701, 27931, 52, 640, 59218, 320, 51731, 220, 18, 15, 17, 19, 701, 14773, 134803, 11, 58211, 12, 868, 11503, 320, 51731, 220, 17, 15, 15, 20, 701, 444, 5245, 8626, 134803, 11, 479, 2749, 33, 12, 868, 11503, 320, 51731, 220, 17, 15, 15, 22, 701, 14850, 35028, 11, 19677, 30849, 11, 1863, 5371, 38, 2749, 59218, 320, 51731, 220, 18, 15, 17, 21, 4292, 51, 3585, 3627, 350, 1134, 273, 1387, 8935, 277, 1371, 198, 9286, 28855, 67919, 16, 19, 20, 21, 16, 20, 198, 63405, 11042, 423, 67, 16074, 406, 48376, 477, 613, 465, 49371, 72101, 88548, 320, 11654, 884, 5524, 8, 7180, 350, 1134, 273, 32030, 12, 2030, 28275, 273, 32030, 10938, 1967, 1387, 8935, 277, 7964, 13, 151643, 20250, 261, 88487, 74, 19840, 668, 70, 8294, 28421, 481, 6616, 47827, 8495, 11460, 760, 434, 66224, 2285, 198, 16, 24, 13, 15, 18, 13, 17, 15, 16, 24, 220, 16, 17, 25, 17, 19, 760, 6538, 32016, 9420, 10394, 1064, 84450, 198, 70194, 38472, 33312, 88487, 74, 19840, 668, 70, 8294, 28421, 5999, 11, 74453, 8495, 773, 58052, 13368, 50837, 2746, 90935, 5016, 98280, 4368, 273, 14668, 11, 4443, 732, 8907, 1704, 26252, 4622, 933, 16030, 6395, 20048, 624, 20250, 261, 88487, 74, 19840, 668, 70, 8294, 28421, 25, 2055, 17837, 74919, 2746, 6250, 75, 61673, 2185, 198, 41, 58526, 61197, 87231, 13785, 220, 21, 17, 33312, 88487, 74, 23118, 2739, 30166, 4370, 11, 2746, 16868, 68, 8669, 220, 20, 48015, 53908, 4832, 343, 12583, 13, 25714, 31008, 730, 19840, 12643, 90796, 7256, 46954, 14410, 375, 92473, 11, 13368, 2746, 730, 23118, 67919, 2030, 12304, 46954, 939, 7377, 268, 73507, 3342, 46745, 38013, 388, 13, 59490, 2694, 18372, 89, 28122, 29413, 956, 372, 11, 2694, 7219, 2694, 730, 19840, 2739, 1174, 5840, 5999, 11, 10489, 1902, 331, 12153, 11, 47827, 8495, 58052, 1424, 17454, 624, 50855, 20048, 98877, 6402, 724, 220, 21, 3128, 349, 2030, 978, 2305, 1944, 724, 220, 16, 20, 71177, 13906, 362, 2024, 50528, 2694, 33312, 88487, 74, 19840, 9820, 38383, 730, 19840, 20427, 376, 8535, 13, 45481, 50435, 14785, 68102, 8495, 15462, 6250, 75, 61673, 28122, 276, 52015, 11, 13279, 2694, 2746, 730, 23118, 67919, 55248, 93985, 2030, 9089, 12222, 2694, 8008, 2739, 21545, 529, 624, 10141, 75, 25423, 932, 8495, 38472, 730, 19840, 8793, 67519, 97973 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11, 47827, 8495, 15462, 4182, 10386, 52015, 68102, 2030, 57984, 9820, 143437, 38383, 730, 23118, 67919, 624, 54370, 2694, 47669, 730, 19840, 20048, 8495, 38472, 46954, 21982, 36866, 1100, 137143, 12385, 73507, 3342, 46745, 265, 8629, 8793, 18520, 14410, 295, 31793, 39537, 627, 9421, 56027, 624, 35, 1020, 35141, 5451, 17058, 274, 11706, 276, 42469, 89423, 96346, 74, 19840, 14448, 19985, 295, 12643, 11, 19767, 2746, 21506, 23334, 47635, 268, 11386, 383, 40866, 458, 13464, 268, 13, 75291, 261, 74453, 8495, 6616, 362, 2024, 50528, 55933, 75077, 33312, 88487, 74, 19840, 732, 362, 4733, 2755, 59493, 2030, 2739, 2660, 12487, 11, 46668, 68459, 6395, 10489, 1902, 331, 265, 14668, 624, 87876, 468, 5428, 20175, 74, 19840, 15719, 43860, 12222, 24929, 9421, 6969, 32863, 12643, 11, 22075, 38472, 730, 19840, 41852, 30875, 17917, 5999, 12385, 43860, 12743, 2267, 2892, 26109, 13, 2362, 54936, 14668, 14785, 20112, 32030, 2746, 1147, 590, 21545, 7256, 14612, 9416, 450, 9820, 7107, 14033, 42603, 11, 14948, 8495, 1527, 2986, 7256, 34368, 1587, 295, 17630, 624, 83516, 1528, 26647, 30353, 1531, 27298, 11, 22075, 6616, 11840, 406, 2032, 69, 15113, 423, 6331, 7180, 444, 78610, 8793, 48376, 2636, 59493, 14821, 11, 95402, 8495, 732, 90935, 50201, 13, 151643, 33, 42389, 481, 65520, 2956, 14406, 331, 12, 52491, 1902, 295, 38132, 481, 11001, 1778, 704, 21112, 812, 672, 13334, 905, 33315, 7276, 6576, 89, 2956, 14406, 331, 467, 9416, 465, 72043, 198, 49242, 3313, 10500, 66793, 41919, 40157, 8793, 25531, 2739, 1723, 45699, 6879, 268, 2030, 422, 2178, 13, 506, 1107, 14948, 94572, 61217, 81440, 732, 3128, 266, 11, 14948, 2746, 76904, 52716, 31380, 932, 624, 52491, 1902, 295, 38132, 732, 36866, 427, 6538, 330, 20705, 89, 40698, 508, 42, 471, 724, 44236, 1, 304, 33315, 7276, 6576, 89, 2956, 14406, 331, 6538, 1032, 3004, 78, 9608, 25, 15687, 77528, 2694, 61162, 7671, 3760, 2030, 10638, 2746, 52639, 9420, 373, 13, 40521, 61199, 15692, 13, 30512, 1902, 295, 38132, 33315, 7276, 6576, 89, 2956, 14406, 331, 7180, 425, 3760, 60097, 724, 44236, 732, 393, 29526, 8105, 12, 15692, 54, 9416, 465, 72043, 14047, 21062, 54708, 0, 23775, 647, 562, 780, 83776, 11, 59214, 6192, 15671, 11, 50244, 649, 610, 823, 3122, 27391, 13, 29618, 5197, 31151, 125245, 2576, 301, 89452, 2185, 7180, 425, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 5451, 220, 20, 33278, 267, 40308, 7288, 431, 2305, 2576, 301, 92660, 14047, 1527, 46728, 2694, 33278, 267, 40308, 7288, 12339, 77, 19767, 47143, 61606, 23446, 624, 16, 1494, 10938, 89452, 2185, 7180, 2746, 29618, 5197, 31151, 125245, 2576, 301, 7276, 47368, 12992, 33, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 23703, 77, 610, 1527, 46728, 2694, 33278, 267, 40308, 3378, 17029, 13, 7379, 268, 8495, 37699, 95817, 5451, 220, 20, 13, 29618, 5197, 31151, 125245, 2576, 301, 25521, 227, 425, 42389, 6517, 16654, 1093, 57, 63361, 50, 1637, 2149, 953, 730, 2992, 20359, 1893, 2749, 431, 2305, 2576, 301, 89452, 2185, 220, 20, 33278, 267, 40308, 481, 60074, 613, 609, 35323, 2746, 67232, 387, 69046, 268, 13, 220, 16, 95817, 7219, 2746, 13, 18069, 1422, 12070, 2956, 14406, 8528, 60097, 724, 44236, 8896, 2746, 57093, 13452, 7964, 29618, 5197, 320, 1282, 4458, 69, 273, 26, 1422, 12070, 2956, 14406, 331, 7180, 330, 15692, 42, 8501, 3975, 12741, 425, 3760, 14821, 10928, 10712, 5755, 12385, 26615, 1149, 320, 1626, 12070, 2956, 14406, 331, 7180, 330, 21685, 798, 1, 12385, 624, 33, 3760, 2362, 2869, 89, 60097, 724, 44236, 11386, 383, 42678, 93232, 320, 64, 1387, 83281, 36108, 7607, 79, 2412, 8, 220, 23, 23, 23, 11610, 2030, 14948, 61805, 261, 325, 1199, 6616, 31380, 25494, 35323, 6395, 58237, 5999, 30, 481, 29618, 5197, 31151, 125245, 2576, 301, 7276, 47368, 25, 425, 42389, 16654, 1093, 57, 63361, 50, 1637, 2149, 953, 730, 2992, 20359, 1893, 2749, 198, 32617, 35276, 20319, 1640, 4188, 35225, 220, 20, 17, 730, 23118, 13, 65520, 2956, 14406, 8528, 220, 17, 16, 52666, 24307, 3313, 444, 316, 652, 13, 65520, 2956, 14406, 331, 25, 60097, 724, 44236, 13, 444, 76141, 2030, 33278, 267, 40308, 48376, 3065, 268, 13, 65520, 2956, 14406, 331, 25, 31380, 11, 60097, 724, 44236, 13, 65520, 2956, 14406, 8528, 60097, 724, 44236, 809, 20175, 2127, 13, 65520, 2956, 14406, 8528, 60097, 724, 44236, 19833, 26745, 13, 65520, 2956, 14406, 8528, 60097, 724, 44236, 7828, 1272, 13, 1674, 376, 85584, 32708, 3988, 7180, 65520, 8313, 13, 25861, 68453, 2660, 17312, 14259, 406, 25151, 11, 14948, 2746, 668, 4188, 408, 33748, 479, 2840, 63023, 6250, 1149, 11687, 16034, 83126, 377, 2694, 23985, 19985, 2185, 752, 1543, 1527, 11567, 58305, 2739, 59908, 295, 12643, 141489, 13, 1674, 665, 1422, 12070, 32454, 10559, 7421, 76, 16074, 2986, 13, 33312, 50041, 431, 2305, 2576, 75, 932, 2739, 2301, 268, 16111, 16868, 68, 8669, 220, 16, 13, 1527, 65423, 11, 1967, 372, 1241, 1422, 12070, 2956, 14406, 331, 13, 42851, 1422, 12070, 2956, 14406, 9034, 57680, 13, 3680, 55632, 2185, 1422, 12070, 2956, 14406, 331, 13, 15687, 33043, 15462, 91265, 1197, 33425, 83, 30, 73110, 819, 12238, 13, 12741, 425, 3760, 1959, 10928, 11782, 709, 12385, 78601, 4081, 93339, 1959, 5999, 4368, 730, 23118, 54594, 17058, 31380, 74847, 291, 645, 304, 68042, 88687, 730, 23118, 2024, 14033, 4160, 7906, 723, 64, 32030, 11, 7219, 2694, 752, 380, 4368, 81831, 1659, 431, 3248, 12385, 27140, 266, 668, 42153, 695, 295, 5999, 13, 1581, 482, 80072, 13, 425, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 89452, 2185, 92660, 481, 29618, 5197, 31151, 125245, 2576, 301, 89452, 2185, 732, 49371, 83820, 431, 2305, 2576, 301, 76133, 11759, 2030, 95817, 35103, 3378, 17029, 14047, 444, 76141, 2030, 33278, 267, 40308, 8408, 431, 2305, 2576, 301, 11278, 321, 1859, 1140, 295, 12304, 61606, 42469, 89452, 11595, 7180, 3371, 425, 14412, 3092, 330, 33, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 3263, 38747, 595, 93790, 13, 220, 16, 24, 6978, 9592, 29618, 5197, 31151, 125245, 2576, 301, 89452, 11595, 5451, 220, 19, 481, 220, 23, 33278, 267, 40308, 7180, 425, 3760, 732, 60097, 724, 44236, 13, 220, 24, 89452, 2185, 13, 431, 2305, 2576, 301, 659, 425, 3760, 732, 60097, 724, 44236, 29618, 5197, 31151 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 125245, 2576, 301, 8125, 32454, 11595, 8408, 89452, 2185, 5451, 220, 21, 33278, 267, 40308, 220, 30543, 16034, 425, 14412, 3092, 425, 3760, 732, 60097, 724, 44236, 304, 2694, 431, 2305, 2576, 301, 92660, 13, 12741, 52639, 23620, 652, 9450, 355, 13920, 38897, 794, 59141, 86, 37780, 34699, 4368, 29505, 529, 11, 7219, 6616, 2714, 9089, 357, 28658, 11687, 13, 758, 2694, 55734, 449, 2030, 304, 29181, 15232, 11496, 75315, 883, 10928, 9820, 1959, 83801, 3893, 1323, 2305, 1387, 20005, 1959, 27868, 4942, 939, 1422, 12070, 2956, 14406, 7522, 2502, 1587, 288, 11, 13279, 12442, 9034, 2746, 57093, 11375, 60075, 13452, 7964, 12304, 80260, 6772, 27684, 2305, 10681, 83, 12583, 25, 8408, 29618, 5197, 15843, 23118, 12583, 7421, 97713, 83357, 67317, 91513, 31722, 43334, 43334, 76876, 2030, 2746, 13225, 78, 15843, 23118, 12583, 304, 14780, 2024, 2863, 12385, 18575, 67317, 5749, 13, 758, 55591, 12643, 4759, 14047, 17152, 95710, 730, 23118, 2024, 14033, 465, 74191, 624, 63590, 3760, 732, 60097, 724, 44236, 1, 5451, 1599, 9919, 28324, 320, 10862, 485, 89452, 11595, 8, 15687, 33043, 2746, 19572, 2694, 74857, 25, 45481, 26769, 2818, 65, 665, 29618, 5197, 31151, 81, 14033, 721, 47368, 17630, 16111, 1640, 4188, 35225, 220, 24, 3371, 21310, 546, 95817, 13279, 6975, 2739, 85740, 13, 19000, 5999, 85117, 18520, 10712, 7180, 2746, 84701, 38684, 2818, 65, 665, 29618, 5197, 31151, 81, 14033, 721, 56364, 13, 425, 3760, 2362, 2869, 89, 60097, 724, 44236, 15275, 389, 6702, 220, 24, 11, 553, 3482, 13629, 883, 9911, 8793, 26252, 70511, 3612, 19358, 83, 13, 1531, 11, 10712, 2714, 3667, 81574, 12385, 34368, 288, 7909, 1863, 12457, 40, 5052, 5757, 16226, 953, 6395, 293, 51865, 11, 294, 13, 305, 13, 40462, 1032, 6996, 268, 5451, 4759, 220, 20, 31380, 12429, 268, 44667, 28871, 42678, 4382, 6395, 12643, 5999, 4368, 69987, 135972, 2030, 28223, 645, 36408, 1358, 6772, 13, 425, 13, 293, 3760, 732, 1422, 12070, 7072, 17739, 57302, 724, 44236, 69342, 7180, 9089, 6395, 35103, 13, 20004, 36744, 47227, 85970, 16111, 28853, 13785, 90796, 7256, 730, 2542, 3591, 16034, 293, 3760, 732, 1422, 12070, 7072, 17739, 57302, 724, 44236, 12, 18510, 74, 1960, 12385, 468, 5428, 20175, 665, 22837, 13, 34903, 85970, 42759, 69, 6772, 74054, 51721, 896, 23129, 6616, 14948, 69342, 12385, 468, 5428, 20175, 665, 457, 6538, 293, 3760, 732, 1422, 12070, 7072, 17739, 57302, 724, 44236, 35951, 15719, 2030, 1508, 1531, 10928, 72701, 467, 66107, 1528, 2714, 30166, 654, 83, 13, 29618, 5197, 31151, 125245, 2576, 301, 89452, 11595, 5451, 220, 20, 481, 220, 21, 33278, 267, 40308, 7180, 425, 3760, 732, 92191, 60097, 724, 44236, 13, 220, 17, 89452, 2185, 13, 431, 2305, 2576, 301, 92660, 7180, 425, 3760, 732, 92191, 60097, 724, 44236, 13, 425, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 29618, 5197, 31151, 125245, 2576, 301, 8125, 32454, 11595, 8408, 89452, 2185, 5451, 220, 20, 33278, 267, 40308, 220, 30543, 16034, 425, 14412, 3092, 425, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 304, 2694, 431, 2305, 2576, 301, 92660, 624, 2101, 665, 1422, 12070, 32454, 10559, 7421, 76, 16074, 2986, 13, 34903, 3457, 10316, 6975, 25531, 13785, 1581, 482, 80072, 458, 6975, 0, 14804, 22163, 331, 1944, 15687, 11460, 30, 67232, 42068, 37633, 13, 1581, 482, 80072, 624, 45, 359, 27726, 220, 23, 23, 23, 11610, 6616, 425, 3760, 2362, 2869, 89, 60097, 724, 44236, 20481, 2126, 477, 295, 13, 481, 65520, 2956, 14406, 8528, 60097, 724, 44236, 732, 29618, 5197, 31151, 125245, 2576, 301, 198, 22171, 422, 11855, 14821, 137943, 10712, 2688, 65078, 96373, 13, 89452, 11595, 7180, 330, 33, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 1, 82706, 97, 220, 21, 29618, 5197, 31151, 125245, 2576, 301, 12, 15692, 43, 32454, 11595, 732, 49371, 83820, 52375, 1527, 46728, 2694, 33278, 267, 40308, 52375, 15967, 36616, 14047, 444, 76141, 52375, 77717, 13, 29618, 5197, 31151, 125245, 2576, 301, 7276, 47368, 58703, 425, 42389, 6517, 16654, 1093, 57, 63361, 50, 1637, 2149, 953, 730, 2992, 20359, 1893, 2749, 7219, 29618, 5197, 31151, 125245, 2475, 1778, 704, 21112, 812, 672, 13334, 905, 25521, 227, 42161, 29618, 5197, 31151, 125245, 2576, 301, 89452, 11595, 7180, 425, 42389, 6517, 16654, 1093, 57, 63361, 50, 1637, 2149, 953, 13, 220, 16, 1494, 10938, 89452, 2185, 7180, 2746, 29618, 5197, 31151, 125245, 2576, 301, 7276, 47368, 12992, 33, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 23703, 77, 610, 1527, 46728, 2694, 33278, 267, 40308, 3378, 17029, 13, 7379, 268, 8495, 37699, 95817, 5451, 220, 20, 13, 9323, 144599, 2858, 98734, 425, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 481, 89452, 2185, 5451, 220, 20, 33278, 267, 40308, 732, 29618, 5197, 31151, 125245, 2576, 301, 26819, 61614, 81671, 13, 77717, 26073, 14047, 21062, 54708, 13, 425, 3760, 732, 13, 151643, 37, 56364, 16034, 32732, 647, 8422, 481, 28593, 198, 28852, 97682, 70777, 16034, 32732, 19625, 8422, 198, 16, 23, 13, 15, 21, 13, 17, 15, 15, 24, 11, 84301, 87481, 220, 16, 21, 25, 18, 21, 38183, 11, 220, 19, 24, 22, 17, 32050, 1626, 66075, 11, 220, 17, 67489, 546, 198, 65835, 93077, 2660, 10638, 15462, 32732, 19625, 8422, 31100, 93908, 5267, 78078, 53383, 11, 13906, 8793, 678, 6395, 326, 4003, 77158, 27726, 10638, 8641, 39771, 5451, 2694, 9518, 39145, 21982, 220, 17, 15, 15, 23, 261, 8422, 2030, 2694, 30976, 273, 32732, 19625, 13995, 4188, 2493, 3818, 13, 63678, 27726, 10638, 8641, 39771, 28831, 2030, 96434, 8652, 2746, 328, 1777, 8641, 4081, 27097, 1527, 21062, 45258, 624, 73946, 19625, 8422, 220, 17, 15, 15, 23, 488, 8422, 220, 17, 15, 15, 23, 1598, 465, 17837, 21140, 198, 41, 87723, 8669, 7219, 70298, 38018, 2153, 6673, 4582, 1268, 13, 328, 23733, 275, 773, 17859, 624, 45, 359, 70251, 41846, 10638, 47143, 15269, 276, 7219, 2429, 8422, 220, 17, 15, 15, 23, 70298, 330, 73946, 19625, 10567, 1, 6395, 1191, 268, 77828, 83953, 81212, 48158, 5436, 44977, 71713, 10638, 8725, 13785, 2746, 67935, 7219, 2429, 220, 17, 15, 15, 23, 261, 8422, 13, 77717, 82207, 10638, 52434, 19104, 79913, 2048, 7522, 393, 43226, 77828, 35, 2574, 11558, 9544, 10638, 7219, 95710, 32936, 13852, 12743, 8313, 25, 23229, 828, 11 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 647, 8035, 220, 17, 15, 15, 23, 11, 21903, 198, 26034, 4081, 64, 361, 20112, 33827, 10638, 4443, 23273, 6395, 6250, 86, 61806, 14357, 896, 40188, 1147, 33, 25, 458, 48414, 17058, 17792, 8, 7219, 3371, 32732, 19625, 8422, 6395, 2739, 7666, 268, 5267, 83953, 2694, 34243, 2319, 939, 220, 17, 15, 15, 23, 71797, 3091, 5342, 7491, 17790, 817, 8536, 2746, 96231, 16540, 904, 324, 16030, 1934, 93304, 68, 6616, 68312, 17029, 37699, 5451, 2694, 73962, 77828, 5012, 25, 29643, 7060, 70298, 20112, 1387, 4645, 416, 48007, 49232, 406, 11, 58881, 23273, 66793, 3457, 10316, 28149, 3903, 84193, 308, 941, 61430, 82, 8528, 4894, 43, 63361, 50, 60002, 76819, 4747, 74784, 5699, 265, 20319, 1079, 220, 16, 23, 13, 15, 21, 13, 17, 15, 15, 24, 4443, 220, 16, 23, 25, 20, 22, 25, 15, 15, 38183, 198, 43, 63361, 50, 60002, 73742, 35, 4500, 17, 5699, 265, 20319, 1079, 220, 15, 24, 13, 15, 22, 13, 17, 15, 15, 24, 4443, 220, 16, 15, 25, 19, 24, 25, 18, 20, 38183, 198, 43, 63361, 50, 60002, 220, 16, 23, 13, 15, 21, 13, 17, 15, 15, 24, 4443, 220, 16, 23, 25, 20, 22, 38183, 198, 42074, 11834, 7997, 83, 2429, 220, 17, 15, 15, 23, 8422, 2746, 330, 49, 54048, 1, 32732, 19625, 6395, 896, 23129, 624, 32617, 39264, 752, 1543, 467, 1038, 724, 14047, 732, 8422, 12, 2043, 13, 12741, 61430, 295, 6616, 35951, 4317, 383, 25655, 56354, 27073, 81591, 4368, 9338, 43, 63361, 50, 60002, 220, 15, 24, 13, 15, 22, 13, 17, 15, 15, 24, 4443, 220, 16, 15, 25, 19, 24, 38183, 198, 86, 2667, 10638, 12222, 3371, 17071, 8273, 4582, 18849, 4087, 383, 10638, 9101, 610, 4368, 69987, 13368, 1932, 304, 2694, 4438, 811, 2030, 67278, 8793, 30632, 198, 86, 2667, 10638, 34368, 3371, 3538, 4582, 18849, 5999, 2994, 14047, 2746, 17679, 273, 5999, 2694, 17071, 8273, 44896, 2994, 198, 43139, 572, 296, 1777, 10638, 24463, 408, 12222, 5451, 2429, 17071, 8273, 198, 53750, 7256, 70777, 16034, 32732, 19625, 198, 44, 1961, 11, 27298, 1531, 12412, 15462, 10246, 7964, 42786, 11, 2694, 8652, 8641, 9443, 58773, 70777, 138936, 10712, 68573, 10638, 304, 2694, 48158, 12236, 50, 7347, 17, 15, 16, 16, 32732, 19625, 481, 16102, 67232, 198, 22560, 424, 6538, 56478, 23, 21, 73946, 19625, 16, 16, 67489, 546, 198, 78078, 1967, 1070, 11, 66316, 54064, 15462, 92670, 33370, 4471, 87460, 17739, 328, 7347, 17, 15, 16, 16, 5451, 32732, 19625, 4108, 285, 16030, 13, 63678, 9544, 10638, 8652, 8793, 54548, 1508, 10638, 12236, 37, 56364, 17312, 9680, 2185, 36108, 32732, 19625, 7180, 15438, 266, 198, 28852, 97682, 67232, 6538, 1581, 3430, 288, 73946, 19625, 24, 67489, 546, 198, 78078, 2030, 93615, 12353, 11, 25861, 27726, 13906, 11, 8652, 3371, 330, 6610, 18157, 4030, 320, 4370, 23, 9940, 6395, 9057, 39563, 2030, 64069, 355, 15462, 20721, 285, 36616, 55376, 12, 5475, 7180, 2503, 151643, 15474, 1776, 25, 3360, 68412, 4368, 4229, 383, 6383, 276, 71968, 3371, 444, 12070, 11, 4841, 2030, 3539, 13, 18976, 59456, 30, 481, 386, 15938, 96326, 84, 529, 13002, 36964, 2285, 44999, 25, 3360, 68412, 4368, 4229, 383, 6383, 276, 71968, 3371, 444, 12070, 11, 4841, 2030, 3539, 13, 18976, 59456, 30, 481, 386, 15938, 96326, 84, 529, 13002, 36964, 2285, 198, 21, 13, 135777, 220, 17, 15, 16, 22, 220, 22, 13, 135777, 220, 17, 15, 16, 22, 1260, 23630, 5016, 92583, 220, 23, 24, 21, 22, 19, 198, 67168, 27047, 11, 11563, 24619, 479, 596, 261, 11, 4229, 383, 6383, 276, 11, 1260, 23630, 5016, 92583, 11, 55734, 3135, 25987, 65423, 11, 18976, 3445, 13, 79228, 624, 18, 23, 67489, 546, 6395, 330, 15474, 1776, 25, 3360, 68412, 4368, 4229, 383, 6383, 276, 71968, 3371, 444, 12070, 11, 4841, 2030, 3539, 13, 18976, 59456, 47369, 17, 19, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 17, 17, 25, 17, 23, 198, 32, 331, 5580, 2746, 386, 3891, 76, 2305, 8479, 1940, 27926, 4841, 95035, 2429, 794, 13, 11565, 10928, 8641, 4368, 48100, 595, 1003, 10559, 70777, 68102, 20048, 13, 19929, 1021, 14047, 2694, 50244, 424, 25, 330, 40369, 66316, 4368, 15928, 24803, 19349, 11, 6538, 2429, 2746, 42786, 75130, 11, 2746, 328, 39563, 2746, 16111, 17630, 11, 2746, 8896, 2694, 10928, 2030, 2746, 15719, 2714, 14047, 85, 965, 13536, 12032, 1189, 1365, 38747, 4368, 342, 2095, 8354, 53797, 25, 3703, 1110, 2136, 20145, 905, 26213, 22995, 28, 915, 7994, 47, 22, 71, 43408, 44, 19, 63225, 198, 58461, 70251, 396, 1531, 65733, 11, 304, 2694, 63318, 306, 21673, 1581, 13718, 665, 4443, 26769, 28386, 269, 17739, 2030, 14609, 360, 266, 2071, 84176, 6395, 75130, 2030, 74021, 97576, 12, 2030, 2030, 8372, 16053, 4368, 79810, 97369, 387, 709, 4905, 268, 6395, 326, 49072, 13, 96943, 47827, 44390, 1527, 1580, 11595, 8793, 289, 371, 86, 51817, 6772, 2030, 304, 54649, 20404, 309, 1782, 275, 387, 8400, 5178, 12643, 13, 11401, 23162, 54988, 5999, 2694, 330, 9499, 380, 1, 15269, 258, 6395, 1197, 33425, 268, 2030, 6395, 4845, 268, 2712, 510, 16, 13, 34903, 64857, 7180, 6785, 1863, 24619, 7180, 53165, 42786, 624, 17, 13, 3874, 49662, 8343, 268, 16111, 342, 932, 49503, 11, 572, 6616, 479, 19981, 48985, 51939, 5451, 17443, 94718, 1960, 49279, 30203, 301, 31151, 752, 396, 13, 5016, 263, 84114, 66485, 8896, 38897, 730, 1003, 24803, 19767, 2048, 1528, 70777, 54649, 1230, 839, 1579, 13785, 96373, 624, 18, 13, 34903, 90556, 304, 70330, 94306, 14785, 2746, 27914, 383, 34542, 13, 61043, 15719, 12788, 20096, 2543, 9510, 16030, 624, 19, 13, 34903, 2518, 268, 8688, 45996, 2030, 13785, 71168, 13, 71161, 9820, 65754, 20112, 32030, 34749, 28831, 16034, 49371, 48414, 11, 22075, 8495, 289, 15113, 81760, 343, 19349, 22589, 13, 25714, 2694, 38684, 47404, 81146, 10928, 12304, 28789, 9774, 2712, 5451, 42789, 20048, 624, 20, 13, 34903, 52367, 2892, 467, 9416, 465, 11, 2746, 55928, 2739, 5342, 426, 2030, 2746, 10712, 467, 16568, 50837, 267, 8793, 458, 15139, 355, 435, 21558, 3342, 320, 2448, 11171, 68, 275, 568, 35780, 90039, 27431, 83281, 939, 44336, 956, 1387, 2048, 9034, 467, 16568, 17312, 72131, 12743, 32863, 14821, 1147, 13, 425, 13, 330, 43, 82040, 79, 21797, 1, 1154, 320, 896, 321 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2714, 9911, 38684, 1154, 98877, 1923, 268, 68378, 268, 8641, 29167, 956, 32030, 8896, 11, 2694, 97096, 2746, 75074, 83301, 11, 7060, 51939, 54548, 5999, 11, 14948, 46668, 93504, 6395, 261, 267, 304, 2694, 30554, 29413, 1365, 6395, 12442, 2407, 83126, 377, 10928, 25531, 1365, 3318, 89002, 26109, 13, 34903, 512, 71, 12495, 1531, 668, 11, 14948, 6216, 58773, 482, 28831, 608, 36, 5368, 1528, 294, 2305, 1645, 87481, 2030, 5651, 9241, 17029, 14821, 11, 52507, 9911, 24929, 8793, 18520, 24438, 32175, 46014, 268, 12643, 15719, 13, 1967, 1776, 5999, 11937, 2746, 49890, 331, 2185, 17312, 30554, 29413, 77414, 41210, 607, 2577, 47631, 6772, 57686, 62713, 624, 21, 13, 60082, 220, 16, 13, 25006, 8528, 18977, 344, 17630, 8495, 51939, 30, 506, 1107, 5999, 26769, 75074, 83301, 2739, 6331, 268, 66809, 13, 12222, 8652, 139115, 2714, 4260, 392, 83, 30, 21766, 12442, 9034, 425, 14412, 34271, 2185, 30, 24209, 44977, 8495, 55813, 15462, 1417, 275, 26413, 34699, 23273, 6395, 1197, 69, 433, 17454, 30, 59330, 647, 79985, 13363, 5999, 1531, 11, 13279, 3371, 434, 585, 1960, 6395, 90556, 624, 22, 13, 60082, 220, 17, 13, 25861, 66316, 31357, 7357, 6454, 265, 55339, 11, 51290, 87862, 8536, 17454, 11, 2746, 10638, 143437, 31932, 331, 82207, 13, 56231, 4443, 44390, 4443, 37337, 88185, 31915, 2391, 55499, 59330, 2185, 304, 2694, 8800, 36614, 7219, 25655, 44919, 11, 35141, 10638, 10928, 87040, 28789, 84100, 308, 40193, 13, 19929, 811, 308, 25136, 10638, 43860, 2746, 220, 17, 12, 18, 140917, 11, 22075, 8495, 23273, 47008, 13, 467, 32289, 8495, 13785, 87040, 2518, 268, 12385, 13785, 37337, 1626, 8535, 30, 13409, 9416, 2185, 5999, 48803, 13818, 13, 467, 32289, 8495, 10712, 91442, 258, 83835, 8793, 13279, 2694, 328, 1777, 90556, 30, 28275, 88787, 6250, 47635, 25151, 50926, 4368, 91442, 6395, 3371, 88687, 17312, 1581, 13718, 665, 12743, 613, 1960, 12380, 268, 304, 29003, 28064, 1205, 1064, 422, 8944, 89, 6395, 95723, 5436, 44977, 624, 23, 13, 60082, 220, 18, 13, 22463, 45996, 11, 8688, 45996, 13, 25861, 27726, 50697, 15462, 678, 64649, 258, 61606, 42469, 2030, 458, 261, 8656, 42469, 37210, 68, 285, 348, 6670, 71168, 13, 467, 32289, 8495, 28095, 26769, 44390, 50244, 424, 304, 4368, 19929, 2391, 13920, 2030, 9820, 10489, 891, 28275, 91661, 11, 10712, 330, 2154, 6130, 13820, 24209, 65845, 9416, 2185, 1, 15269, 58158, 5267, 24, 13, 60082, 220, 19, 13, 14268, 70251, 16676, 2746, 425, 14412, 43414, 312, 54327, 2030, 7746, 650, 14383, 1387, 2257, 13, 16354, 275, 12643, 42786, 342, 932, 304, 5016, 392, 88551, 12743, 68, 68412, 13, 506, 1107, 13368, 53835, 8495, 6616, 30, 12741, 70944, 69, 34699, 46652, 1370, 380, 10559, 2825, 89097, 1147, 13, 425, 13, 75315, 6395, 69987, 304, 39416, 6772, 67317, 13, 55448, 2746, 42786, 304, 50435, 2825, 89097, 74453, 6616, 1032, 13920, 17630, 11, 304, 27914, 383, 32175, 71, 51817, 6395, 12643, 13, 55448, 9911, 91440, 289, 79748, 6772, 668, 4188, 713, 13820, 95817, 13, 43997, 10638, 939, 86, 19981, 304, 70836, 4928, 268, 4368, 1032, 54327, 13281, 1579, 13111, 9544, 11, 28095, 773, 14761, 665, 10638, 35783, 6250, 47635, 25151, 7180, 31932, 331, 2030, 304, 25312, 11, 16049, 7522, 1859, 484, 6772, 13, 19000, 81831, 295, 11, 14948, 8495, 68876, 304, 2694, 1205, 1064, 1424, 17454, 11, 2746, 8495, 3371, 773, 387, 85740, 268, 24714, 266, 1579, 932, 13906, 6566, 30353, 624, 16, 15, 13, 60082, 220, 20, 13, 29247, 332, 6772, 27726, 10638, 8793, 773, 41983, 431, 13803, 269, 1579, 325, 1065, 546, 13368, 8495, 9057, 44977, 20048, 11, 19104, 289, 550, 78, 12709, 303, 529, 6616, 6216, 70, 54081, 16123, 458, 71126, 50244, 424, 17312, 328, 1777, 11, 2746, 10638, 54064, 17790, 54459, 26252, 30420, 25, 4593, 198, 16, 16, 13, 60082, 220, 21, 13, 4863, 21062, 36568, 42603, 11, 572, 8896, 37699, 2746, 14410, 69701, 20005, 12380, 5451, 71126, 479, 4260, 392, 86, 5186, 44861, 26612, 6395, 11460, 13, 56231, 650, 42153, 695, 7714, 42786, 20048, 650, 22328, 695, 295, 19349, 11, 12385, 30, 54068, 42786, 53835, 883, 331, 14649, 422, 17707, 25494, 4317, 344, 458, 13, 16887, 42046, 17630, 9911, 67519, 13, 330, 70194, 24440, 8793, 7060, 19285, 13368, 2746, 43999, 11, 4593, 330, 8896, 8641, 4368, 81331, 261, 40407, 17562, 82, 704, 24134, 14410, 62713, 13, 12741, 220, 17, 13, 47355, 939, 13177, 31793, 5999, 74021, 83835, 81331, 11, 323, 932, 32595, 20048, 8495, 40662, 304, 2429, 61606, 42469, 33278, 330, 33, 68595, 1, 14047, 21062, 54708, 21506, 35508, 220, 16, 23, 11, 18, 624, 16, 17, 13, 60082, 220, 22, 13, 43997, 6616, 61150, 42137, 28086, 9450, 355, 408, 14649, 19767, 709, 74, 2717, 5999, 11, 773, 4446, 68, 10638, 54064, 4368, 834, 1137, 13818, 4368, 11, 6616, 8495, 10489, 65, 84384, 7522, 14821, 624, 16, 18, 13, 60082, 220, 23, 13, 220, 24, 14, 16, 16, 5999, 9820, 38574, 273, 33328, 55754, 13, 479, 4260, 75967, 8495, 11, 14948, 2746, 77094, 7294, 2694, 2274, 12, 3477, 36616, 34542, 458, 52716, 8259, 2770, 43506, 268, 30, 619, 14134, 32595, 2770, 43506, 268, 9450, 355, 10938, 67775, 4223, 970, 61558, 552, 2030, 32936, 78765, 273, 1070, 2030, 467, 79748, 1536, 304, 3371, 7279, 2030, 66653, 1126, 8793, 18520, 15269, 276, 13, 8495, 73689, 6616, 10928, 63318, 44275, 2030, 80617, 67952, 10951, 10207, 1704, 20005, 28275, 665, 457, 304, 58154, 13, 5004, 372, 80617, 8495, 2048, 331, 4368, 305, 2267, 288, 53363, 23630, 7219, 9089, 30, 19000, 74453, 8495, 9089, 8641, 8343, 268, 13, 16887, 572, 6616, 75687, 10938, 93504, 330, 83956, 65845, 9416, 2185, 267, 383, 18174, 24803, 1, 81314, 333, 723, 11, 773, 75130, 8495, 83835, 11, 14948, 2694, 21474, 1531, 14047, 2429, 386, 539, 458, 2340, 54840, 1713, 23651, 36408, 22157, 8896, 13, 467, 9510, 84, 30, 63678, 4443, 22163, 70, 20005, 730, 1003, 24803, 11, 2746, 458, 2694, 1007, 33235, 15671, 6079, 6395, 3371, 472, 2245, 901, 34271, 268, 939, 386, 80392, 54936, 333, 17454, 11, 40566, 27779, 6395, 37896, 13, 16887, 1531, 8896, 68312, 17029, 13, 43997, 8495, 8652, 21506, 58158, 11, 14948, 71968, 220, 24, 14, 16, 16, 9820, 24209, 65845, 9416, 2185, 4087, 68412, 11, 773, 17630, 8495, 67519, 13, 71161, 1531, 4116, 9820, 24209, 65845, 9416, 2185, 13, 9236, 27298, 35323, 36077, 6395 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 41983, 65571, 69046, 7714, 70777, 4443, 50435, 9167, 268, 76, 539, 13, 16887, 26769, 70777, 12643, 6538, 1007, 33235, 15671, 794, 15671, 21506, 3612, 19358, 83, 2030, 3638, 10606, 529, 13, 5004, 372, 11, 22075, 96042, 7256, 2274, 12, 3477, 1268, 11595, 40157, 6616, 52639, 2694, 4724, 562, 17606, 645, 2030, 2694, 330, 32, 331, 325, 939, 479, 13160, 1, 293, 51865, 30, 64894, 19294, 8495, 8652, 9820, 65754, 74054, 56500, 13, 25861, 68573, 43860, 25494, 80122, 2257, 624, 16, 19, 13, 60082, 220, 16, 15, 13, 8495, 56945, 37210, 68, 1064, 30, 63678, 20048, 8495, 37210, 68, 1064, 13906, 48414, 30, 25861, 357, 6712, 13906, 1674, 3433, 70777, 2030, 44628, 485, 53797, 7219, 11, 9089, 9820, 34734, 1952, 59330, 2185, 6395, 293, 51865, 2030, 8793, 35323, 3371, 80072, 268, 6395, 2739, 2172, 10316, 11, 2746, 6975, 140729, 13785, 2746, 63318, 44275, 5504, 13920, 21673, 2030, 6095, 13518, 9167, 268, 2061, 3591, 4853, 17029, 12643, 13, 8408, 9167, 268, 91009, 37369, 8896, 34749, 72705, 20404, 295, 2986, 11, 13368, 8495, 2739, 6984, 6772, 75130, 13, 8408, 9167, 268, 86, 15113, 89249, 12643, 566, 32997, 332, 424, 83835, 6395, 17058, 47669, 9167, 268, 3748, 31618, 13, 15017, 48985, 74453, 16111, 13279, 17058, 38684, 4229, 48414, 22385, 8641, 14047, 5183, 2712, 13, 44462, 647, 29886, 485, 50158, 74054, 8486, 1859, 71, 273, 10638, 11, 9089, 15462, 647, 371, 4101, 6538, 8459, 13, 11331, 355, 30102, 7219, 13370, 77868, 12540, 88287, 624, 49, 5276, 12429, 75018, 510, 23, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 15, 25, 17, 23, 198, 641, 36744, 11426, 2694, 9774, 7052, 289, 66107, 38486, 10638, 8652, 18520, 20004, 37285, 11706, 22385, 13, 142839, 12647, 2501, 59302, 642, 11, 19104, 37699, 5883, 11, 13484, 2030, 28831, 2185, 3647, 331, 71378, 5999, 8793, 1931, 380, 16053, 13, 86417, 5699, 44704, 67278, 11, 51290, 74764, 27599, 84, 753, 86417, 50041, 2988, 2391, 13920, 76307, 653, 426, 6395, 71, 3454, 2746, 58583, 477, 956, 1859, 11, 2030, 8793, 12304, 12583, 595, 6283, 258, 6712, 5016, 5612, 354, 7070, 13, 139349, 1013, 22837, 624, 32, 652, 26769, 38868, 17405, 51327, 723, 50041, 58062, 45, 359, 8343, 83, 8641, 2746, 1967, 1070, 572, 6616, 93504, 330, 43, 82040, 14367, 325, 1, 7219, 13305, 336, 4724, 436, 3048, 21506, 61805, 336, 6395, 4845, 68, 13160, 8896, 13, 730, 13796, 5999, 11, 6616, 2994, 31357, 93898, 1467, 20005, 3680, 10661, 37949, 44096, 1704, 41101, 267, 0, 27484, 198, 65, 1630, 1370, 295, 75018, 510, 32, 1387, 2746, 330, 6953, 19985, 5342, 321, 2185, 1, 47226, 91442, 2030, 17443, 62642, 5999, 3582, 16053, 13, 47436, 444, 12070, 4116, 1531, 11, 22075, 10638, 23273, 67519, 2714, 6130, 485, 11, 8641, 328, 16576, 68625, 13, 47436, 479, 596, 261, 5016, 672, 52877, 13, 14235, 2444, 11687, 4368, 1365, 13368, 13279, 444, 12070, 1365, 44802, 1950, 2030, 2818, 65, 465, 5016, 11855, 2493, 7865, 11, 8099, 63859, 408, 4368, 1147, 1704, 32251, 343, 2030, 83281, 36108, 38684, 663, 34162, 320, 811, 8801, 16631, 12385, 572, 10928, 25531, 701, 2030, 2694, 62642, 4087, 17917, 24929, 625, 2956, 37592, 6772, 13329, 344, 304, 6616, 142127, 5451, 2429, 6395, 3638, 309, 1268, 19875, 62642, 4368, 11, 21506, 1323, 4865, 11, 5999, 8486, 51817, 11, 6973, 426, 2358, 2956, 28494, 7364, 11, 2746, 431, 19957, 68, 6395, 2739, 70489, 11, 22075, 12412, 2048, 1528, 37337, 268, 14410, 62713, 12643, 1353, 2391, 30353, 4992, 13, 2055, 15719, 2694, 91442, 3371, 38453, 63859, 2694, 1230, 4480, 58791, 713, 26612, 93395, 289, 21176, 11, 2030, 84911, 54371, 27298, 1531, 2694, 6395, 5198, 61878, 343, 19875, 12380, 28275, 3612, 1942, 11, 22075, 9820, 773, 61606, 23446, 7357, 11, 2746, 11937, 274, 63859, 2257, 59765, 5451, 15928, 1579, 6395, 11460, 8896, 11, 51290, 35323, 9820, 2922, 36035, 13820, 136458, 258, 5999, 11, 773, 72734, 730, 4942, 77509, 13, 16887, 330, 33297, 56530, 1, 26109, 2994, 13906, 1923, 59765, 668, 4188, 776, 7522, 320, 2660, 396, 2694, 650, 2721, 2577, 665, 1863, 51078, 27097, 8, 47226, 68625, 12385, 444, 12070, 12385, 1298, 26360, 2030, 5016, 672, 52877, 13, 83929, 98918, 5999, 1531, 13279, 444, 12070, 10928, 8641, 773, 35276, 59141, 11, 22075, 10638, 23273, 67519, 2714, 6130, 485, 13, 479, 27951, 13497, 273, 11, 98171, 799, 13497, 273, 0, 141196, 8896, 2694, 62642, 51939, 17790, 83801, 72131, 29413, 11, 22075, 4368, 32936, 17790, 294, 27097, 303, 294, 1370, 86, 17739, 2518, 295, 624, 71, 1176, 72, 75018, 510, 29165, 4942, 220, 18, 25, 5699, 2717, 30632, 13368, 96042, 11, 1763, 2429, 29003, 28324, 75130, 1940, 1241, 326, 15938, 65295, 30632, 13785, 2746, 70298, 11763, 11991, 645, 3371, 11806, 7964, 1152, 71, 1536, 25531, 2030, 25531, 26252, 37896, 11, 5054, 258, 6395, 4368, 18107, 11595, 17790, 76, 1127, 1147, 5197, 355, 8535, 30, 4894, 22, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 16, 25, 18, 20, 198, 28684, 12743, 932, 3680, 408, 13279, 15462, 647, 371, 4101, 6538, 8459, 13, 2926, 13, 434, 447, 54077, 2694, 25714, 2986, 92172, 13368, 46668, 2876, 534, 5649, 12070, 7791, 27431, 3371, 41158, 6452, 465, 709, 426, 1365, 3089, 2305, 426, 477, 724, 14047, 3371, 467, 58193, 220, 17, 15, 16, 23, 304, 1084, 55318, 1154, 2994, 5016, 43183, 723, 1531, 9089, 8099, 67056, 13, 330, 51583, 330, 304, 2694, 98359, 198, 32687, 269, 2694, 92610, 61806, 549, 19000, 42514, 686, 2746, 467, 15113, 22385, 7364, 8793, 75130, 1365, 5883, 434, 1854, 3959, 14840, 16034, 9740, 20512, 7522, 1154, 9820, 4841, 7256, 1674, 665, 732, 67588, 1154, 348, 32289, 41158, 575, 13, 50837, 267, 8596, 343, 1154, 434, 300, 26977, 50837, 267, 6616, 93898, 37419, 1959, 6616, 5999, 10672, 2356, 7180, 82, 42514, 16448, 83953, 2048, 7522, 11000, 11595, 93985, 2694, 25987, 325, 1923, 9421, 13, 60082, 36077, 65314, 29413, 342, 17707, 323, 932, 32595, 2739, 385, 1440, 13, 45481, 2746, 11607, 261, 1626, 32454, 1528, 9820, 38574, 273, 94678, 627, 11, 19104, 143437, 83246, 49341, 12475, 63236, 624, 22, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 23, 25, 17, 17, 198, 5183, 330, 1912, 48838, 285, 850, 1, 27726, 10638, 28086, 13906, 45506, 36852, 82751, 11, 6616, 79373, 1411, 84642, 23273, 142832, 2305, 778, 343, 7219, 2746, 10925, 2660, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 96520, 6616, 79373, 70511, 5999, 11, 8896, 9089, 10928, 41235, 2502, 332, 3612, 1942, 26252, 26184, 87481, 624, 75919, 36702, 268, 1850, 40697, 73455, 16053, 25531, 9421, 57519, 2655, 22837, 25, 18069, 4081, 27097, 47355, 11, 4368, 66796, 69, 36956, 261, 47355, 2030, 84132, 7522, 267, 28865, 624, 22171, 4081, 64, 361, 47355, 5999, 2746, 7416, 8229, 2694, 38183, 29413, 11, 2694, 66796, 136507, 265, 5999, 2746, 467, 21405, 776, 4905, 960, 2030, 2694, 9063, 5999, 50697, 84132, 7522, 267, 28865, 1365, 752, 380, 724, 38805, 13548, 81591, 2030, 5451, 36077, 2502, 332, 624, 18175, 2732, 21673, 11000, 11595, 12583, 60911, 7455, 3004, 33827, 11, 58319, 732, 3041, 65, 6433, 67775, 6072, 12070, 79, 391, 1268, 2739, 4748, 83, 12583, 624, 33, 956, 32030, 6616, 77016, 30, 25861, 53165, 32595, 8793, 55813, 624, 76, 4817, 11, 431, 13, 2157, 1571, 198, 22, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 25, 15, 22, 198, 17360, 52549, 55813, 79913, 84579, 11, 9089, 13785, 26769, 1007, 724, 4865, 21673, 2030, 304, 30781, 17739, 10928, 1007, 78571, 1241, 6433, 60911, 2914, 268, 7219, 50203, 4370, 13, 619, 15326, 19772, 1574, 3184, 2185, 5999, 9820, 434, 35548, 11, 2746, 458, 6616, 14609, 360, 1268, 10938, 739, 10719, 295, 624, 32617, 98863, 6817, 321, 5999, 65681, 2030, 93328, 65733, 25, 444, 297, 274, 326, 264, 274, 274, 384, 308, 753, 15755, 267, 2746, 350, 32289, 34749, 2098, 70628, 5883, 12, 2030, 17324, 590, 17739, 13484, 19625, 68, 275, 267, 15141, 2986, 320, 9433, 31451, 44979, 69, 3122, 11, 57671, 467, 6712, 11, 1863, 5262, 16315, 264, 1362, 21558, 1440, 13, 8670, 811, 1863, 51078, 27097, 2030, 1863, 12540, 9416, 261, 14821, 87862, 16212, 1174, 17790, 15462, 350, 9913, 71467, 19358, 465, 624, 26034, 32936, 12412, 47143, 10207, 89730, 17630, 11, 15719, 10638, 9421, 34734, 798, 41663, 65224, 1850, 14033, 6433, 13, 96520, 13785, 220, 17, 15, 45506, 9057, 275, 2986, 10638, 48803, 25987, 325, 71, 137143, 18520, 13, 25861, 95898, 15398, 59765, 0, 70264, 8052, 3122, 77, 610, 36702, 268, 42759, 265, 10638, 12222, 220, 16, 856, 1079, 12353, 1365, 2030, 37801, 273, 12063, 6616, 6538, 3371, 80072, 724, 61231, 932, 647, 6670, 642, 1952, 5451, 2429, 11, 572, 3457, 645, 3264, 3591, 732, 8031, 296, 57588, 624, 46, 723, 4081, 768, 20112, 32030, 1531, 50435, 51309, 54371, 8793, 13, 71161, 1365, 8652, 5999, 6616, 28086, 16942, 723, 388, 7219, 709, 13464, 268, 1365, 2746, 4697, 4027, 11250, 610, 36702, 268, 9724, 388, 1726, 7522, 9089, 883, 331, 14649, 9179, 49662, 939, 11806, 7964, 80072, 268, 21928, 0, 19000, 35141, 883, 34368, 8641, 21207, 343, 90845, 13, 14235, 12583, 50368, 20005, 330, 8033, 50958, 1, 1079, 89423, 13, 19000, 2714, 2712, 406, 883, 10928, 458, 2694, 142832, 68947, 6433, 6250, 66671, 939, 350, 14033, 50499, 31151, 288, 330, 41557, 36702, 268, 497, 22075, 1531, 140527, 4443, 386, 539, 39264, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 17, 17, 25, 20, 24, 198, 52445, 11, 2746, 11631, 2030, 2746, 304, 24440, 512, 65, 19875, 305, 1847, 77, 28122, 2301, 2739, 385, 1440, 4818, 75, 5276, 13, 19000, 15719, 1962, 10453, 7219, 35505, 11, 2746, 23276, 1528, 275, 2739, 2024, 2956, 19285, 140729, 4368, 137296, 18520, 11, 2994, 39264, 308, 941, 18520, 13, 8408, 73580, 404, 61227, 54840, 1528, 2694, 25987, 325, 71, 10938, 73580, 404, 968, 365, 300, 331, 10938, 88837, 30005, 89131, 7219, 472, 63767, 283, 1440, 624, 40369, 2739, 8400, 709, 67058, 330, 39, 471, 19104, 6624, 3263, 5016, 263, 52287, 7180, 23273, 4368, 48686, 1984, 932, 285, 13, 14235, 14821, 17837, 11706, 14948, 9089, 2746, 59869, 268, 293, 645, 4370, 13, 49371, 5016, 273, 15160, 2030, 1644, 6984, 13, 2362, 1174, 5451, 3371, 29003, 28324, 17518, 268, 2030, 31932, 7522, 13818, 268, 13, 1967, 1776, 27726, 10638, 10928, 6538, 1260, 23630, 5016, 92583, 17790, 11316, 39771, 13785, 2746, 70038, 45699, 2694, 1644, 6984, 778, 331, 485, 3893, 56027, 13, 47436, 36744, 15139, 940, 9176, 5699, 896, 6433, 6538, 1032, 54327, 12, 14840, 25422, 2863, 26824, 12304, 13, 43997, 220, 21, 20, 48015, 12304, 468, 766, 46646, 24131, 331, 83090, 304, 78233, 59801, 2956, 426, 12643, 47827, 2746, 38378, 25531, 18593, 1174, 2030, 2746, 1032, 28324, 25531, 312, 28064, 12643, 13, 1674, 642, 572, 9089, 5098, 344, 59801, 2956, 426, 25658, 4775, 3818, 9089, 13368, 4368, 5016, 811, 3065, 5583, 612, 304, 17058, 94718, 1960, 28831, 624, 1514, 275, 27431, 17630, 9089, 2746, 468, 766, 46646, 2739, 30781, 12070, 343, 69, 15938, 13, 18069, 78765, 277, 72964, 1615, 266, 6772, 6538, 220, 17, 15, 15, 20192, 7219, 220, 17, 15, 15, 15, 19461, 11, 4368, 2157, 1571, 6538, 220, 19, 15, 15, 20192, 7219, 220, 19, 15, 15, 15, 19461, 11, 4368, 3680, 55632, 28122, 273, 2015, 6538, 220, 23, 15, 15, 20192, 7219, 220, 23, 15, 15, 15, 19461, 2030, 44367, 10882, 2787, 1621, 265, 465, 6538, 220, 16, 15, 15, 15, 20192, 7219, 220, 16, 15, 220, 15, 15, 15, 19461, 13, 19000, 6250, 71, 29802, 1517, 285, 5999, 3893, 2024, 645, 7964, 11, 2746, 11903, 811, 19104, 650, 261, 140463, 28494, 22539, 27784, 624, 83953, 36744, 5098, 2071, 92707, 66522, 28122, 3759, 331, 811, 3065, 541, 8, 8948, 47827, 2746, 330, 6953, 5676, 1, 25531, 18593, 1174, 2030, 2746, 330, 693, 28324, 1, 25531, 312, 28064, 12643, 13, 619, 15326, 468, 766, 19786, 59444, 71, 2956, 56832, 304, 78233, 5999, 25531, 9820, 23334, 423, 55632, 2185, 6538, 82816, 14047, 89005, 13, 19000, 5999, 31357, 59330, 2185, 51290, 8896, 26956, 68, 285, 2257, 5451, 4149, 42598, 1579, 6395, 11460, 13, 19000, 8896, 13279, 6975, 56075, 534, 13, 95817, 6395, 36744, 61150, 26170, 17454, 9089, 25531, 458, 17058, 20226, 9151, 65754, 13906, 62401, 13, 468, 10453, 6538, 422, 32997, 19875, 8896, 6616, 87541, 3092, 268, 2714, 89, 83049, 19104, 63318, 44275, 2746, 84132, 6538, 1298, 89, 1950, 71, 84251, 11595, 10712, 89452, 2185, 510, 641, 704, 78733, 289, 96049, 9740, 71, 84251, 11595, 304, 18859, 268, 51239, 65, 17366, 2305, 4370, 12385, 9421, 17058, 730, 2855, 2554, 9421, 5046, 268, 13017, 125245, 4370, 2030, 462, 37137, 928, 268, 9740, 71, 84251, 11595, 304, 2694, 62467, 773, 59380, 66287, 66685, 11, 52507 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9911, 2746, 21506, 268, 2030, 47332, 1536, 268, 468, 766, 19786, 724, 901, 89097, 94505, 72101, 83, 11, 572, 38805, 732, 17632, 811, 2694, 28275, 83301, 5342, 7272, 2185, 2030, 2694, 59214, 36370, 2185, 2694, 95506, 2694, 42786, 304, 21506, 268, 468, 766, 19786, 724, 901, 89097, 68573, 38325, 198, 22171, 773, 59380, 66287, 331, 88999, 58534, 1850, 97310, 9421, 17058, 730, 2855, 2554, 6538, 38650, 70, 783, 12, 2030, 78233, 87227, 11595, 13, 78233, 49311, 434, 1358, 11595, 90556, 10928, 65733, 11, 52507, 458, 930, 15795, 2694, 14785, 4368, 376, 1442, 11, 14948, 42759, 6739, 468, 766, 19786, 724, 901, 89097, 8793, 54459, 15462, 758, 1489, 804, 11855, 3408, 713, 2714, 64177, 1960, 13, 320, 32617, 12583, 38897, 74539, 1960, 328, 39563, 13, 2362, 29608, 477, 351, 66518, 3818, 2714, 6538, 220, 20, 11, 1079, 52747, 220, 16, 15, 4, 444, 2267, 1194, 71, 2956, 56832, 2030, 2429, 29505, 86873, 6130, 6538, 3386, 4979, 385, 24134, 28175, 22171, 74227, 7256, 91442, 3371, 10638, 17324, 54749, 18849, 5999, 2694, 36077, 25620, 6181, 1952, 75840, 444, 12070, 13, 79192, 220, 17, 15, 16, 19, 2746, 32175, 65, 6772, 52193, 336, 28658, 92172, 20445, 467, 8535, 74, 811, 13920, 13279, 75840, 444, 12070, 13, 8408, 822, 7997, 47332, 1536, 896, 457, 17790, 1308, 4979, 724, 220, 17, 8394, 37801, 129894, 5178, 13279, 444, 12070, 13, 33328, 31275, 94133, 8896, 9911, 9089, 52434, 28883, 730, 1003, 1579, 5451, 17443, 92191, 22162, 318, 14726, 13977, 21506, 35505, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 17, 17, 25, 16, 19, 198, 40369, 27726, 44367, 6250, 2024, 2956, 67, 2185, 4886, 16776, 6538, 2162, 13, 220, 19, 15, 45506, 305, 2210, 355, 37285, 269, 30353, 13, 16354, 1127, 4116, 6616, 17790, 35323, 50837, 25, 350, 26378, 10938, 377, 301, 7219, 2030, 15244, 40870, 11, 21207, 343, 0, 34903, 17630, 1531, 11316, 26933, 332, 4894, 39120, 7997, 883, 9089, 6538, 2048, 7522, 5883, 9420, 1510, 69, 1419, 268, 55813, 38897, 289, 529, 12536, 273, 28831, 357, 2636, 2892, 2030, 6616, 73580, 404, 77, 7746, 24321, 16074, 12, 4640, 1331, 331, 44704, 12, 586, 29428, 93936, 65845, 494, 56354, 74, 473, 268, 47008, 7646, 5267, 18175, 5883, 6691, 25651, 17630, 6538, 52716, 305, 26440, 330, 47, 8759, 46836, 5251, 68, 380, 932, 1, 3371, 25714, 52015, 6975, 14047, 87862, 57562, 13368, 62711, 2660, 53555, 5016, 21785, 5744, 330, 25655, 2714, 13536, 12032, 497, 8793, 6395, 6051, 16030, 624, 13394, 11, 4116, 372, 11460, 9089, 6616, 41983, 25531, 17790, 458, 5267, 1654, 321, 41983, 81212, 330, 5580, 4368, 6032, 7997, 7522, 25987, 65423, 42137, 11937, 8793, 773, 5699, 4659, 76, 1, 2030, 141152, 21673, 730, 2305, 325, 624, 6033, 268, 4937, 12304, 1674, 74, 2267, 337, 24803, 11, 18482, 73612, 11, 730, 37780, 301, 550, 17454, 11, 29733, 12009, 3122, 550, 11, 30919, 92692, 2030, 31100, 84251, 23446, 43999, 8793, 10928, 773, 12385, 141153, 93328, 5267, 32, 1387, 25987, 65423, 5999, 4368, 450, 332, 343, 9820, 15132, 83, 4894, 87876, 3680, 47461, 16597, 6538, 4368, 6433, 3128, 13518, 5999, 308, 44226, 343, 4443, 9089, 26769, 15132, 83, 668, 72101, 365, 84251, 12495, 624, 65214, 56530, 4258, 1960, 49536, 11, 13368, 13279, 2694, 4863, 86, 2956, 24134, 2185, 55928, 15132, 83, 4863, 89, 13299, 388, 63859, 11595, 7219, 13, 43997, 883, 26769, 13785, 19154, 295, 11, 5999, 883, 9101, 610, 85725, 4368, 330, 8813, 8801, 23276, 331, 22956, 80515, 25987, 325, 4997, 32030, 48985, 19154, 2185, 5999, 9820, 2694, 65733, 15795, 647, 6215, 355, 746, 89, 11595, 7180, 6616, 24929, 5451, 2694, 28831, 26252, 4368, 746, 89, 10938, 30872, 665, 3078, 263, 635, 9774, 2712, 2030, 8536, 17454, 4894, 26034, 2770, 43506, 83, 35783, 11, 4116, 372, 2746, 9089, 773, 25494, 458, 66423, 99011, 11, 2746, 5016, 5645, 13279, 2694, 794, 844, 11, 8151, 713, 13906, 2694, 8280, 354, 2986, 6395, 95723, 5267, 1654, 321, 6616, 34749, 49765, 665, 90817, 5999, 2746, 5016, 5645, 304, 71017, 1505, 16315, 17632, 811, 6395, 37228, 258, 1489, 42961, 624, 35, 2667, 11, 22075, 25531, 18520, 34749, 8280, 354, 2986, 304, 3371, 11840, 1107, 130187, 654, 7219, 3371, 78445, 79956, 75858, 282, 21176, 2030, 40870, 1077, 11687, 408, 6772, 48803, 362, 300, 18520, 52716, 53672, 941, 87, 93644, 45258, 14821, 320, 64, 1387, 8793, 13785, 3371, 25714, 71, 61673, 376, 865, 330, 76745, 7997, 3959, 497, 330, 70684, 78335, 497, 730, 6283, 285, 4992, 24389, 12643, 9911, 19767, 2746, 8280, 354, 5679, 4081, 11855, 78, 1640, 1967, 485, 3893, 333, 932, 13368, 9911, 1531, 47143, 13279, 52716, 28831, 11595, 11460, 11, 51939, 25531, 83801, 75182, 304, 30781, 17739, 34749, 73580, 404, 61227, 54840, 8528, 331, 76, 1268, 2024, 14033, 465, 4894, 32617, 25987, 65423, 5999, 24440, 49765, 2338, 10882, 2787, 26331, 268, 12, 10141, 277, 24048, 2185, 15940, 19474, 13, 43997, 6616, 10928, 17790, 9421, 135475, 11, 20048, 9911, 4368, 4748, 268, 4894, 35, 4288, 278, 65, 10928, 2746, 29857, 57, 9299, 306, 6576, 89, 11, 51939, 41983, 5016, 5645, 73689, 9089, 510, 59967, 2667, 10638, 67952, 28086, 1147, 58193, 11834, 7997, 11, 24929, 686, 10638, 10928, 39771, 74565, 17630, 1, 4894, 80515, 468, 6308, 82017, 5999, 93434, 69, 1127, 331, 11, 51939, 11, 22075, 883, 24440, 9443, 5178, 11, 24929, 2739, 742, 529, 883, 8793, 12222, 3371, 8793, 650, 261, 383, 65, 21673, 29857, 57, 11171, 70552, 16892, 295, 4101, 51290, 10928, 17790, 289, 529, 12536, 273, 28831, 2030, 3371, 6250, 2685, 1365, 2030, 59739, 13920, 343, 14821, 883, 10928, 17790, 11, 17066, 883, 1531, 8793, 47143, 5999, 624, 35, 4288, 278, 65, 4270, 1263, 25, 33781, 269, 16030, 11, 143437, 25357, 16030, 11, 13368, 97914, 1225, 473, 68, 7219, 2694, 26647, 23455, 11, 2030, 15462, 425, 11706, 23196, 1923, 372, 37896, 4894, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 17, 16, 25, 20, 23, 198, 47789, 739, 5999, 8652, 3739, 1127, 28086, 13279, 42250, 77, 663, 18045, 13637, 8703, 258, 7219, 709, 13464, 268, 13, 25861, 1422, 424, 23273, 12222, 11, 4116, 372, 773, 1967, 1070, 6616, 9089, 3196, 359, 30, 25861, 512, 325, 2694, 29413, 63620, 140918, 939, 730, 4775, 6250, 75, 1134, 2030, 28511, 2886, 12222, 17790, 11, 7180, 13368, 294, 25964, 16111, 92191, 68336, 2863, 723 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12643, 13, 9236, 5999, 17859, 11, 14948, 1531, 41983, 42786, 27298, 11, 2746, 467, 15113, 89249, 11, 2746, 34699, 3371, 3264, 530, 268, 4697, 4027, 10246, 4370, 18607, 265, 14668, 13, 2157, 16676, 70407, 458, 42250, 5016, 92583, 2030, 2429, 88028, 2739, 47365, 7964, 42250, 77, 547, 11008, 74, 50011, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 17, 16, 25, 19, 23, 198, 43337, 269, 16030, 1365, 22080, 331, 59493, 1365, 5883, 609, 431, 1241, 69, 3122, 1389, 2305, 665, 3647, 331, 71378, 52163, 1531, 27298, 4368, 55397, 28883, 1365, 55813, 52173, 340, 47, 1915, 9744, 416, 75018, 198, 26034, 6055, 83, 24440, 51939, 10928, 17790, 50435, 29136, 3605, 7522, 81828, 5679, 58285, 654, 74, 559, 268, 13, 22080, 331, 71378, 67382, 13, 794, 32863, 65295, 40157, 13906, 345, 641, 220, 19, 69713, 97096, 24440, 12304, 50435, 730, 559, 268, 7219, 2746, 26647, 23455, 11, 12304, 53383, 17312, 29003, 28324, 28831, 13, 27914, 723, 13279, 2694, 63630, 654, 370, 32621, 4079, 458, 345, 26493, 81146, 40662, 668, 8452, 268, 13, 12812, 572, 2770, 43506, 83, 24440, 572, 6616, 4368, 140748, 14821, 13, 23887, 2863, 11, 2030, 15462, 1422, 84251, 21673, 30393, 7997, 6433, 4772, 11, 458, 36744, 12353, 13, 19000, 14821, 9820, 38574, 273, 326, 610, 4443, 2714, 13, 393, 808, 13, 36574, 10638, 67278, 11, 24440, 489, 2717, 65295, 8793, 50667, 50667, 17085, 198, 30124, 133406, 28831, 50667, 198, 47, 70120, 75018, 510, 83953, 2429, 8354, 14821, 65295, 4368, 51663, 72734, 624, 2428, 1110, 2136, 20145, 905, 26213, 22995, 92009, 20, 70, 16, 934, 79, 2519, 42, 48, 198, 623, 318, 2501, 42250, 5016, 92583, 624, 36210, 82, 30261, 4241, 1940, 12583, 12222, 2694, 330, 21062, 133406, 53672, 258, 2694, 38868, 17405, 268, 1, 2030, 1197, 471, 33748, 25531, 18520, 6395, 43105, 12, 9499, 446, 1862, 1528, 33947, 7823, 380, 724, 4081, 2391, 5178, 48614, 28086, 2746, 47355, 88487, 70984, 77868, 51078, 45258, 496, 1241, 883, 582, 1038, 23738, 330, 1107, 41316, 325, 1, 51721, 4260, 28421, 22589, 2067, 610, 220, 20, 80624, 15719, 883, 3371, 20004, 19095, 453, 69, 1353, 91639, 624, 35, 13, 479, 596, 261, 8896, 9089, 60637, 17859, 25620, 54708, 13, 25861, 3893, 383, 74565, 9421, 11, 6616, 2714, 289, 355, 5342, 1154, 6616, 883, 40662, 7219, 3371, 330, 30124, 273, 32619, 267, 95174, 1, 97696, 58881, 13, 25861, 15719, 1850, 14033, 6433, 11, 6616, 1531, 46668, 18976, 3445, 15843, 263, 54749, 27298, 0, 472, 8229, 8641, 732, 6841, 20743, 61286, 713, 14047, 17058, 11000, 2185, 4368, 37801, 433, 21649, 422, 39229, 2694, 320, 7823, 380, 1471, 1199, 7522, 8, 26843, 27993, 67726, 3893, 56027, 33947, 1658, 686, 11937, 308, 941, 2429, 1863, 1704, 541, 13785, 70489, 2371, 6712, 5267, 18175, 330, 47583, 17405, 5342, 321, 88487, 330, 12643, 75590, 330, 70, 332, 1, 9421, 4188, 32030, 11, 4443, 2429, 34734, 306, 21673, 89931, 70, 559, 5451, 72943, 396, 268, 16447, 2305, 25061, 21207, 343, 6395, 37896, 624, 18175, 11000, 2185, 34699, 54392, 31465, 1515, 3739, 1127, 44426, 11937, 3893, 96695, 624, 39726, 27313, 78581, 68, 425, 7714, 73276, 665, 458, 2048, 7522, 26692, 500, 10291, 12643, 24929, 5451, 30632, 261, 5883, 6691, 1704, 1174, 91647, 26612, 2030, 5883, 7276, 9484, 7671, 59378, 56539, 42603, 1656, 2267, 406, 33947, 59967, 2667, 4111, 3696, 13160, 7219, 3264, 3591, 71, 21211, 1, 51873, 5241, 86, 46686, 40157, 4368, 1494, 1659, 24016, 301, 7180, 9820, 38383, 444, 12070, 12, 7812, 12385, 5267, 1, 77939, 4841, 12, 5580, 1737, 59226, 19104, 8793, 29209, 380, 11937, 34542, 21545, 7256, 12042, 37137, 258, 8, 89478, 41, 19042, 11, 10638, 582, 1038, 11, 6616, 5999, 37699, 19104, 8793, 330, 1654, 713, 2030, 27643, 1, 1940, 4316, 496, 704, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 17, 15, 25, 15, 18, 198, 67395, 332, 9820, 75687, 10938, 37427, 325, 13, 70407, 59378, 23348, 624, 40369, 9057, 275, 2986, 41488, 220, 16, 15, 45506, 48803, 25987, 325, 71, 12, 2030, 48803, 34869, 55440, 14033, 18520, 624, 12061, 48101, 5699, 265, 20319, 25, 330, 26034, 13279, 6975, 304, 44979, 1494, 17029, 11, 5999, 9820, 9805, 440, 73580, 404, 61227, 54840, 1528, 10040, 4416, 5999, 1531, 13, 54068, 73580, 404, 61227, 54840, 1528, 2148, 1020, 220, 16, 24, 19, 20, 5451, 2694, 6454, 385, 12, 15232, 22222, 17739, 547, 1174, 74991, 11, 71713, 9855, 56539, 343, 143037, 19767, 2746, 9270, 82901, 465, 5016, 1111, 11, 472, 669, 34080, 11, 2410, 11121, 11, 18880, 810, 11, 28876, 4195, 300, 2030, 3539, 13, 1154, 2030, 26769, 15854, 266, 4258, 20319, 14840, 48614, 25531, 38383, 2502, 2391, 1960, 939, 91452, 71, 50990, 7219, 35951, 57671, 304, 66482, 52990, 268, 2030, 15545, 64321, 1960, 624, 48047, 12643, 26769, 13532, 4000, 2674, 351, 9817, 11845, 746, 5679, 11, 16111, 12643, 9911, 4087, 343, 932, 11, 14840, 12788, 20096, 18520, 4368, 342, 2095, 93504, 6538, 3371, 1581, 60135, 458, 37060, 14821, 11, 14840, 35951, 76178, 267, 51817, 19349, 14821, 11, 572, 9911, 17790, 304, 38684, 140275, 77, 458, 5718, 1307, 587, 3591, 29695, 370, 83, 17630, 11, 2030, 9911, 84193, 773, 10651, 63859, 8199, 17239, 13518, 19349, 12643, 11, 94567, 9911, 8793, 18520, 75130, 11, 572, 9911, 11460, 624, 1514, 723, 263, 7313, 1174, 11, 37330, 32708, 35975, 2674, 351, 437, 380, 220, 16, 24, 19, 20, 6395, 2429, 92191, 647, 49802, 7052, 47631, 1536, 8459, 13, 84792, 198, 1658, 331, 17058, 75020, 406, 19767, 2835, 1579, 11, 883, 331, 17058, 19767, 11615, 268, 2030, 883, 9034, 19767, 98171, 9275, 9740, 273, 7964, 13, 96520, 20603, 482, 21410, 268, 2030, 24807, 2157, 12059, 26769, 3406, 80561, 81, 22157, 13303, 77399, 11, 8486, 5472, 450, 10638, 17588, 5186, 21673, 468, 17659, 13906, 50435, 91718, 590, 76213, 13, 54068, 42786, 52434, 83572, 35323, 48803, 86591, 71, 5676, 11, 1531, 66093, 11316, 4443, 434, 585, 1960, 11, 13818, 68, 12385, 2746, 328, 1777, 11, 1531, 4116, 95139, 5342, 3911, 351, 9817, 13, 9774, 18482, 1854, 331, 8155, 7997, 6538, 54392, 60238, 42668, 10638, 12222, 732, 8031, 342, 81184, 11, 80072, 268, 2030, 4229, 446, 1862, 1528, 1675, 60273, 10638, 96976, 267, 8793, 18520, 11, 13368, 52287, 30, 25861, 67278, 8793, 11, 54505, 2746, 69791, 34368, 4370, 276, 42469, 7219, 455, 64 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 32030, 12583, 11, 19104, 220, 16, 20, 48015, 5999, 1531, 1059, 13, 42250, 5016, 92583, 11, 8495, 41852, 60322, 6616, 35951, 25494, 74764, 11, 17630, 87717, 14604, 529, 11, 19104, 10638, 67278, 96976, 267, 11, 94567, 26769, 91718, 590, 76213, 15462, 2614, 1609, 17739, 472, 2245, 59785, 17630, 13, 9236, 357, 766, 83, 14047, 4031, 7272, 3911, 351, 9817, 11, 2030, 6616, 28086, 52287, 13, 43997, 10638, 2746, 28086, 12304, 511, 383, 11, 11834, 7997, 10638, 1197, 86, 7294, 15462, 468, 3134, 305, 17205, 12385, 4443, 21062, 59493, 13, 6771, 89, 465, 288, 5999, 14410, 2391, 900, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 24, 25, 18, 20, 198, 22171, 4229, 383, 6383, 276, 93539, 295, 25, 730, 14435, 6535, 29261, 9420, 25964, 2185, 2694, 386, 13256, 198, 36, 343, 44275, 5999, 1531, 38805, 35323, 25, 4863, 13536, 426, 3371, 472, 2863, 12754, 441, 2061, 3591, 468, 552, 468, 63274, 11, 294, 13, 305, 13, 5699, 2717, 50435, 330, 35, 24638, 1, 8793, 18520, 458, 2030, 595, 2863, 723, 2746, 28831, 11595, 8793, 11, 24929, 76133, 267, 9089, 87862, 386, 15938, 13785, 6975, 6538, 38805, 12304, 482, 7219, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 24, 25, 15, 16, 198, 16193, 11, 10638, 2770, 64, 3760, 2429, 5999, 83880, 59765, 18520, 305, 40522, 5197, 1704, 82040, 13, 9236, 5999, 1007, 724, 4865, 6772, 11, 14948, 2746, 3264, 3591, 4368, 47355, 939, 3644, 268, 9680, 288, 12583, 11, 2746, 23276, 331, 22385, 1849, 81591, 6395, 2739, 2024, 2956, 5183, 11, 74021, 3371, 76716, 524, 17312, 30872, 1960, 2030, 289, 21176, 8085, 6395, 18607, 45258, 13, 4657, 594, 85725, 8688, 1626, 380, 343, 17837, 27918, 14821, 11, 70251, 396, 40157, 93395, 8343, 6772, 13, 9236, 27298, 62702, 2030, 55813, 38219, 11000, 11595, 732, 650, 138644, 6433, 5883, 13, 70407, 74021, 50041, 13, 12741, 13206, 1574, 739, 896, 90830, 5999, 28086, 96976, 267, 304, 4400, 3433, 479, 844, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 23, 25, 20, 18, 198, 54, 324, 450, 6616, 61150, 9421, 2429, 472, 9416, 72043, 1059, 84, 300, 709, 127356, 11687, 30, 77211, 23273, 7364, 8793, 18520, 2714, 6130, 932, 11, 14948, 31008, 52990, 28122, 10393, 348, 669, 309, 624, 38025, 440, 42250, 5016, 13129, 13, 33328, 4368, 15681, 277, 45506, 4116, 10638, 10712, 1863, 51078, 27097, 13279, 17058, 18976, 3445, 198, 318, 18803, 7276, 50, 13, 2030, 27726, 26769, 93898, 5016, 372, 2660, 62785, 31915, 261, 5840, 13, 20004, 36744, 47227, 511, 383, 198, 713, 8652, 50435, 10882, 2787, 65, 17366, 768, 8793, 18520, 458, 624, 30416, 10638, 28086, 52287, 48803, 5883, 18520, 5699, 64, 361, 11, 27726, 10638, 6538, 2694, 18976, 6222, 60197, 34368, 13785, 11563, 24619, 479, 596, 261, 4566, 6271, 95402, 13, 25861, 27726, 8652, 6616, 21864, 20005, 12307, 5840, 585, 301, 14047, 140463, 28494, 458, 45061, 2717, 2030, 282, 437, 11, 14948, 422, 13, 479, 596, 261, 9089, 650, 4160, 3371, 3893, 42316, 268, 647, 6215, 355, 746, 89, 11595, 1411, 25998, 32454, 25620, 54708, 8896, 13, 619, 7294, 11, 2694, 8793, 5451, 3371, 2755, 37121, 1960, 663, 16335, 2739, 2172, 332, 4116, 11, 19104, 17790, 8793, 342, 15141, 89, 6772, 5883, 1455, 295, 2305, 392, 83, 5999, 11, 15719, 5451, 1967, 34966, 26612, 83380, 3903, 268, 11, 14948, 2694, 330, 68623, 850, 1, 4368, 2739, 839, 798, 11, 84187, 13920, 13906, 61286, 275, 1404, 11, 22327, 77, 28122, 69215, 5883, 15843, 32261, 289, 15113, 11, 2694, 479, 596, 261, 282, 610, 6772, 139906, 59765, 1197, 709, 4370, 89, 18187, 5679, 42668, 11, 11937, 6538, 479, 596, 261, 282, 610, 6772, 14211, 7997, 6969, 32863, 26109, 624, 18175, 4697, 4027, 8125, 91639, 2061, 3591, 2148, 265, 55339, 8099, 63859, 408, 25531, 17790, 8793, 11, 94567, 9911, 9089, 34749, 479, 4260, 392, 86, 5186, 44861, 26612, 56354, 42789, 76178, 267, 88287, 624, 40369, 15719, 12222, 53165, 264, 1362, 539, 932, 11, 12412, 23388, 6603, 16597, 6395, 85239, 25, 5883, 9421, 70489, 11, 3680, 436, 595, 34271, 6433, 13, 56231, 22075, 2694, 3911, 351, 55433, 331, 1241, 8793, 18520, 25620, 2717, 2030, 3893, 56027, 14821, 2030, 9089, 87878, 6712, 5016, 1174, 5679, 4368, 58158, 11, 14821, 9089, 6616, 12709, 93016, 624, 19957, 13368, 479, 661, 6108, 30632, 89005, 85389, 25, 883, 14821, 72734, 261, 11, 17837, 395, 798, 2030, 3457, 1268, 624, 91992, 40662, 17790, 8793, 49232, 406, 11, 42137, 431, 1743, 11331, 355, 30102, 8486, 824, 70667, 13, 330, 28684, 372, 5699, 896, 6433, 2746, 444, 66897, 1174, 1, 5999, 17058, 2694, 52747, 647, 371, 81, 70668, 320, 91667, 8, 6395, 36744, 61150, 11, 3371, 10638, 4759, 93096, 27726, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 23, 25, 15, 22, 198, 52445, 11, 10246, 652, 1260, 23630, 11, 3845, 33043, 2746, 328, 1777, 65681, 21488, 17029, 13, 14804, 13279, 6975, 304, 44979, 1494, 17029, 11, 5999, 9820, 9805, 440, 73580, 404, 61227, 54840, 1528, 13, 19929, 1021, 27726, 10638, 8652, 4368, 8354, 6538, 6798, 358, 60273, 6454, 81184, 330, 1782, 14285, 525, 15316, 304, 497, 304, 12442, 2407, 2714, 7219, 2746, 98175, 2636, 76, 10938, 13897, 6576, 811, 72, 2030, 60911, 2914, 304, 44979, 51721, 896, 380, 13, 20004, 46014, 2154, 43226, 4116, 2746, 2714, 811, 1070, 22080, 424, 36108, 44771, 304, 19846, 7180, 9820, 133661, 423, 61194, 61806, 5451, 58442, 9421, 17837, 11706, 268, 2825, 34271, 268, 13, 25861, 27726, 47143, 18520, 485, 53936, 140918, 3893, 56027, 11, 4116, 1079, 1527, 42477, 39771, 56946, 1826, 19285, 83281, 53936, 330, 3435, 16081, 1, 595, 2718, 19875, 50244, 8535, 11, 35141, 19104, 47332, 1536, 896, 457, 4368, 125245, 27899, 11, 14948, 2694, 29860, 1032, 13920, 8896, 13, 34903, 47827, 12304, 7219, 86, 45699, 2030, 44367, 4818, 78836, 485, 72, 387, 19875, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 22, 25, 19, 24, 198, 43, 61673, 10712, 220, 20, 80624, 27726, 10638, 17790, 31357, 18976, 3445, 65078, 35505, 1365, 2030, 10928, 3371, 24209, 1387, 53797, 27726, 10638, 53129, 220, 20, 8641, 304, 88787, 55397, 69876, 13, 60082, 65078, 649, 2305, 5178, 12583, 2746, 60911, 2914, 267, 19875, 5679, 2694, 43427, 266, 23647, 13, 14235, 10638 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8652, 19104, 1365, 25531, 17790, 1365, 3893, 1937, 44275, 16807, 330, 5668, 433, 331, 45258, 1, 458, 325, 383, 320, 1515, 331, 14649, 686, 10638, 26269, 75130, 11, 304, 58319, 57123, 2185, 2746, 422, 24638, 10068, 72, 26252, 8641, 39264, 701, 27726, 10638, 2746, 90817, 6616, 5016, 11855, 44236, 6538, 88072, 6395, 1673, 16030, 13, 14235, 15719, 883, 9820, 386, 6309, 326, 49072, 13, 479, 596, 261, 8896, 83835, 3371, 330, 37, 57596, 1, 69876, 11, 8793, 18520, 87024, 89, 810, 12032, 320, 6023, 71, 3808, 568, 3874, 49662, 15719, 10638, 42250, 77, 5016, 81, 64487, 73086, 12222, 1850, 14033, 6433, 13, 4657, 1126, 17958, 99025, 2746, 55857, 15113, 98421, 11, 14948, 10638, 4759, 7128, 83, 58881, 11, 27726, 10638, 8652, 13785, 71168, 11, 13368, 10638, 23273, 2739, 6023, 301, 665, 11, 22075, 883, 23273, 304, 31008, 1205, 1064, 4845, 81, 25423, 665, 13, 25861, 58881, 1147, 1785, 13, 28086, 13906, 1923, 18859, 48414, 11, 14948, 10638, 2746, 11000, 2185, 2739, 75, 13256, 11, 17066, 883, 23273, 294, 27097, 303, 21506, 1323, 4865, 11, 12385, 66983, 2694, 11000, 2185, 73689, 11, 14948, 5627, 64215, 2545, 13, 1365, 12741, 74227, 7256, 11, 3371, 10638, 595, 25136, 11, 2694, 5451, 2048, 7522, 11832, 4002, 268, 17859, 1147, 552, 331, 6242, 309, 11, 4116, 19685, 47435, 645, 1967, 13294, 13, 36574, 2694, 42668, 2746, 595, 75024, 20005, 138971, 11759, 89, 11, 9820, 4400, 273, 70772, 2660, 2030, 36077, 4229, 74360, 709, 4370, 35608, 2030, 37337, 2712, 406, 25151, 11, 572, 1531, 58442, 97035, 37633, 68, 11, 35323, 30632, 89, 3073, 268, 2030, 68876, 6616, 6395, 73689, 11, 572, 2714, 387, 3435, 34966, 665, 624, 18654, 10638, 5699, 64, 361, 8652, 26769, 274, 45699, 10928, 8793, 18520, 458, 624, 43139, 14410, 62713, 42137, 53797, 40157, 17790, 88748, 11, 76171, 58319, 1217, 36616, 458, 2694, 52549, 5999, 11, 9911, 14821, 6616, 304, 3371, 348, 1358, 59785, 68102, 572, 9911, 7180, 65681, 2030, 41245, 798, 35505, 305, 41203, 13, 10638, 44390, 40870, 11, 883, 15719, 2429, 1849, 8793, 54459, 650, 2721, 74919, 98171, 325, 19349, 26769, 294, 17707, 6395, 11460, 11, 51939, 12304, 32936, 1849, 68, 11, 2030, 511, 3591, 9911, 17790, 773, 25494, 330, 59568, 1, 43243, 5183, 1531, 68876, 773, 11460, 11, 2994, 20112, 44977, 16111, 6975, 40157, 59765, 13906, 6395, 37896, 13, 15269, 372, 11, 13368, 14410, 62713, 11, 10246, 652, 16942, 1046, 8641, 3647, 331, 59493, 2030, 9089, 58459, 1194, 268, 294, 27918, 305, 287, 3065, 268, 55937, 198, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 22, 25, 19, 17, 198, 35, 402, 263, 15719, 10638, 4368, 444, 1122, 7780, 268, 753, 1365, 198, 40369, 26109, 304, 3371, 3264, 3591, 11, 75243, 71126, 23273, 2694, 29413, 2755, 37121, 303, 268, 48686, 51960, 1960, 1154, 8847, 198, 2061, 13, 68226, 79842, 25587, 44, 4321, 1154, 3825, 1808, 11594, 3021, 198, 7687, 13, 1774, 13, 362, 13, 472, 1715, 38, 4321, 11, 422, 52491, 50, 925, 12335, 868, 37, 198, 5012, 56, 2149, 40, 19157, 12, 57122, 12457, 13639, 2843, 687, 640, 12, 7856, 52, 1285, 7243, 36, 1365, 393, 5609, 74, 51, 1637, 2149, 640, 33879, 57, 51, 345, 4284, 13, 1154, 14047, 73869, 20005, 14930, 57647, 28865, 11, 304, 4368, 6433, 5883, 3264, 3591, 5519, 1365, 5451, 16631, 7219, 38130, 5676, 17837, 21140, 5457, 6670, 96373, 753, 1365, 198, 32617, 36376, 306, 20005, 458, 50244, 8535, 11, 3091, 5342, 293, 2367, 275, 17917, 12643, 58062, 1806, 799, 261, 9421, 72313, 21673, 21766, 55632, 11595, 66809, 13, 65314, 261, 69, 74374, 1154, 48985, 9820, 14322, 590, 71620, 7070, 33052, 261, 2185, 1365, 15552, 12, 5016, 30875, 42603, 198, 26493, 10638, 7219, 59785, 6538, 23334, 86, 3818, 33186, 1960, 608, 27169, 485, 622, 1038, 220, 16, 24, 24, 16, 2714, 75, 22449, 27726, 345, 86, 324, 450, 24929, 10928, 136249, 17790, 9421, 799, 27431, 60098, 652, 48015, 51721, 28129, 304, 1365, 5451, 17239, 4865, 21673, 6250, 89, 2956, 1389, 2185, 267, 9913, 36433, 1298, 89, 38809, 1598, 465, 4188, 2493, 3818, 753, 1365, 198, 7823, 482, 1032, 13920, 778, 331, 32997, 3004, 28064, 2185, 88628, 665, 6616, 51239, 458, 2746, 6250, 1723, 11007, 15012, 1704, 59785, 939, 53672, 258, 324, 665, 8669, 496, 18175, 69590, 94213, 88185, 1365, 28275, 73869, 458, 5016, 329, 79956, 68, 51317, 19000, 31145, 16053, 458, 5016, 329, 79956, 68, 5999, 5016, 36568, 1154, 77, 4865, 2694, 14410, 309, 665, 47708, 86, 35010, 1952, 92716, 13, 9415, 5267, 40369, 27726, 44390, 98344, 2739, 70489, 47827, 2030, 55248, 97973, 2746, 422, 66522, 9779, 300, 267, 2185, 6538, 14410, 1241, 22385, 21673, 198, 6406, 64, 295, 8400, 4370, 753, 1365, 198, 22171, 467, 11042, 11, 2746, 3264, 3591, 22327, 12495, 11, 14948, 2746, 136458, 25531, 83801, 7219, 2746, 19868, 1528, 15244, 13464, 268, 13, 9774, 76018, 12583, 9911, 26933, 275, 6616, 42514, 30632, 7180, 294, 25964, 6395, 2739, 4554, 28421, 13, 8495, 305, 1847, 268, 74054, 11, 14948, 2746, 5016, 5645, 17790, 71417, 67558, 13, 35780, 3371, 21683, 24803, 11563, 24619, 479, 596, 261, 49232, 406, 2030, 2746, 18976, 3445, 2739, 8400, 5178, 8896, 31247, 461, 529, 2746, 28223, 645, 2694, 4697, 4027, 5251, 291, 3591, 25494, 58052, 13, 48988, 7865, 1580, 408, 12583, 24131, 331, 83090, 2746, 4697, 4027, 5251, 4316, 266, 23647, 2030, 34749, 330, 20366, 14047, 2694, 60074, 2863, 2986, 136088, 12, 6033, 1194, 3263, 54068, 11000, 11595, 1187, 28421, 14047, 2429, 2340, 258, 9964, 136740, 34699, 88748, 13, 19000, 2746, 330, 30124, 273, 318, 2593, 261, 266, 23647, 2030, 304, 2746, 320, 16123, 9544, 10638, 7180, 4368, 479, 27951, 8, 42, 3436, 12010, 24370, 1, 1531, 22163, 70, 50095, 41210, 34542, 8793, 4704, 2712, 8896, 5451, 54649, 3680, 71, 25423, 50499, 21982, 739, 6395, 11460, 13, 8495, 12583, 1079, 57782, 939, 14917, 773, 39353, 17029, 6616, 1531, 74021, 76171, 13368, 9911, 134776, 49536, 3647, 331, 811, 12487, 2030, 9911, 43243, 5183, 10928, 11316, 304, 65559, 62459, 11, 2048, 844, 9911, 7180, 34749, 6928, 34749, 5451, 5016, 6984, 89, 56946, 93876, 665, 479, 424, 74675, 13, 1863, 359, 2636, 76, 408, 3647, 1528, 360, 713, 2030, 84187, 318, 1371, 81760, 295, 26769, 36280, 11, 19104, 31357, 328, 6670, 11, 2746, 136458, 595, 461, 19981, 1531, 5451, 13, 25861, 9544 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10928, 74565, 13785, 37400, 83, 11, 14948, 42250, 479, 596, 261, 2746, 93395, 650, 96135, 6712, 3406, 1862, 331, 2024, 2956, 9588, 6222, 408, 11595, 978, 2305, 1944, 724, 37699, 10928, 19767, 21062, 2717, 8896, 13, 9857, 82753, 58881, 73689, 2974, 641, 9919, 14668, 3644, 268, 13017, 81, 13299, 69499, 1531, 10712, 13791, 46686, 62467, 11, 22075, 883, 2746, 467, 15113, 22385, 75018, 1189, 75291, 261, 1477, 10638, 1531, 17859, 11, 6616, 479, 596, 261, 9089, 36744, 5016, 1940, 14101, 28421, 12743, 32863, 8896, 624, 5012, 25, 25861, 58881, 26769, 96382, 45423, 268, 8793, 6909, 43427, 266, 23647, 308, 40193, 13, 9236, 51528, 274, 23733, 275, 11, 14948, 9911, 2770, 43506, 268, 11, 9911, 511, 3591, 51637, 396, 624, 5183, 34098, 5699, 64, 361, 10638, 8652, 8793, 18520, 458, 11, 304, 6271, 512, 325, 10638, 2746, 67489, 546, 2030, 595, 1003, 13229, 485, 12962, 36947, 343, 5451, 671, 2746, 11000, 2185, 13, 19000, 312, 4865, 56354, 42789, 9421, 13, 8408, 34037, 49, 54610, 12583, 5651, 84, 7180, 23273, 13, 28831, 3004, 331, 66671, 4894, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 22, 25, 17, 16, 198, 21367, 2861, 5999, 11, 9089, 50435, 63630, 654, 139906, 8793, 77868, 810, 12032, 11, 51939, 2746, 348, 6670, 72313, 1960, 142127, 3563, 4993, 548, 2305, 4370, 1863, 12540, 9416, 261, 2030, 1863, 51078, 27097, 7219, 6616, 30512, 9779, 5342, 13, 2363, 35276, 265, 2085, 5006, 81591, 3660, 19972, 13, 19000, 5999, 34906, 7132, 304, 1032, 766, 76431, 4894, 16, 24, 24, 24, 2030, 220, 17, 15, 15, 15, 4116, 10638, 17837, 329, 798, 62642, 304, 17058, 18976, 12, 7812, 13, 65132, 336, 62642, 2498, 12385, 822, 7997, 304, 17443, 80378, 5004, 50037, 372, 13906, 2694, 11000, 2185, 4368, 330, 6033, 28815, 324, 1, 17312, 47404, 11, 4443, 34699, 2746, 38684, 136088, 7219, 89, 12540, 295, 5679, 13, 77356, 4116, 11, 9820, 38158, 59638, 20005, 11903, 46621, 7219, 89, 392, 45258, 13, 8408, 136088, 43303, 348, 603, 258, 8199, 633, 1440, 406, 11, 9911, 822, 12032, 9089, 34368, 14649, 343, 732, 18563, 16034, 11000, 3065, 3013, 77, 13, 9236, 26109, 10928, 42759, 654, 16053, 7219, 709, 41101, 267, 11, 4443, 1147, 1704, 32251, 7256, 2823, 709, 4905, 11595, 6395, 21506, 7666, 268, 13, 25861, 10651, 63319, 8793, 1059, 372, 4260, 28421, 11, 51290, 4116, 32175, 65, 22157, 13368, 4368, 97914, 458, 2694, 1967, 482, 13, 142839, 42668, 2694, 5004, 50037, 372, 9820, 4836, 65161, 81894, 665, 624, 40369, 3371, 440, 11, 37699, 2739, 5342, 426, 24440, 70336, 11, 4116, 372, 10638, 26769, 11000, 11595, 7180, 3893, 380, 6433, 63630, 654, 14761, 665, 624, 1254, 1110, 2136, 950, 35363, 2285, 14953, 645, 6222, 2125, 83425, 268, 17659, 12, 37361, 12, 4416, 2630, 261, 5183, 1737, 645, 46168, 1070, 93936, 331, 2863, 74, 3818, 198, 87876, 30872, 665, 22126, 5999, 9820, 37221, 11, 13279, 2694, 2746, 3984, 14668, 2770, 43506, 268, 11, 9911, 74492, 1960, 9820, 38574, 273, 13804, 68, 29695, 370, 83, 11, 4443, 625, 2956, 37592, 6772, 18859, 89, 590, 15671, 11, 14948, 48803, 794, 95174, 18520, 83423, 5999, 13, 2055, 572, 30005, 89131, 12222, 13785, 2746, 80331, 11, 19104, 12788, 336, 1127, 13785, 2746, 15928, 1579, 13, 3874, 49662, 5999, 1531, 773, 274, 6130, 2301, 22539, 27784, 11, 9089, 304, 2694, 18803, 35, 3354, 16053, 6395, 2922, 351, 16030, 13, 9236, 4446, 83, 59765, 11, 8793, 54459, 6616, 65764, 2986, 21506, 2429, 434, 287, 932, 351, 301, 13, 19000, 73741, 9089, 13279, 93912, 59908, 28883, 5016, 332, 23815, 2844, 65752, 383, 36077, 1081, 34271, 50095, 2714, 832, 6433, 624, 39, 13, 1581, 17958, 75018, 510, 50, 958, 268, 11, 14948, 1531, 8641, 26252, 14410, 62713, 14821, 13, 8408, 43427, 266, 23647, 12583, 9421, 38130, 1011, 2301, 60021, 1371, 46728, 665, 386, 3891, 1728, 68, 8479, 17058, 304, 30781, 17739, 2656, 268, 3321, 392, 7637, 624, 2304, 1070, 67382, 2714, 2712, 406, 25, 6616, 572, 9820, 6774, 440, 25714, 1174, 91647, 26612, 93077, 2501, 11, 14821, 12743, 13977, 5840, 0, 75291, 261, 5999, 6616, 35323, 5342, 8735, 13, 220, 17, 25, 33781, 13601, 529, 3371, 24851, 5679, 4697, 4027, 11, 24929, 20048, 8495, 2714, 89, 85242, 11, 572, 8495, 56945, 13, 8495, 2739, 14383, 44977, 12222, 38472, 468, 63274, 2030, 1962, 10453, 15719, 14609, 360, 17029, 12643, 13, 25861, 73455, 449, 18849, 14948, 28086, 18520, 485, 48015, 11, 41488, 2429, 5999, 41235, 58009, 69, 72734, 261, 11, 44390, 467, 332, 2030, 48686, 968, 5342, 17630, 75508, 668, 4370, 46646, 624, 49, 34966, 2714, 8656, 406, 11, 42250, 5016, 92583, 11, 19104, 2746, 50232, 1440, 9089, 47143, 34542, 13906, 11, 26769, 364, 26716, 266, 23647, 641, 12495, 23569, 17360, 5999, 342, 21519, 77, 408, 8688, 896, 73276, 11, 26769, 25531, 19767, 709, 4554, 1070, 663, 42598, 1579, 2030, 364, 8813, 355, 61231, 12, 10141, 86, 32612, 2185, 6, 17790, 77868, 810, 12032, 13, 7107, 288, 79192, 12743, 932, 3680, 408, 27926, 4841, 13, 4182, 258, 11, 10638, 686, 8793, 18520, 11, 926, 465, 13620, 453, 69, 11, 3647, 331, 59493, 13, 8408, 978, 34711, 11, 2746, 9812, 431, 2956, 1174, 320, 82, 351, 665, 28086, 67498, 941, 568, 4182, 258, 11, 10638, 9544, 48803, 364, 33, 2956, 2381, 10453, 516, 7364, 15359, 529, 8793, 624, 2428, 1110, 76, 15938, 96326, 84, 529, 2630, 36964, 2285, 14, 17, 16, 15, 15, 14, 1330, 1776, 96326, 68412, 5655, 258, 12, 709, 383, 6383, 276, 2832, 2245, 96528, 2852, 12070, 2630, 483, 12, 1241, 22471, 92680, 59456, 14, 151643, 25216, 673, 372, 14953, 266, 46745, 32997, 760, 40640, 64, 198, 77466, 2986, 560, 2030, 23334, 746, 38132, 31008, 94376, 26109, 27684, 2956, 6498, 529, 6538, 5665, 74, 76431, 27914, 4079, 624, 41393, 2925, 652, 5857, 11, 16288, 20368, 13070, 1229, 11, 14268, 4932, 71859, 77429, 198, 22171, 68832, 258, 5999, 21506, 19168, 220, 21, 16, 23, 17, 28789, 362, 91326, 1389, 4865, 71450, 48376, 295, 56364, 198, 623, 20128, 932, 62273, 25, 220, 18, 16, 22, 14, 20, 24, 19, 16, 14, 20, 18, 19, 17, 198, 59243, 12, 488, 16402, 3821, 2180, 198, 32595, 61550, 861, 9911, 383, 73211, 509, 10827, 198, 2136, 3133, 449, 30517, 2285, 198, 18175, 91912, 665, 2030, 35780, 440, 7219, 2694, 16023, 8438 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 918, 3435, 64, 2285, 12583, 6538, 40640, 64, 384, 5058, 13, 34368, 32863, 2030, 21506, 11567, 4370, 2429, 92191, 16809, 383, 652, 47631, 13, 2823, 21561, 70668, 422, 1003, 465, 12583, 10712, 2048, 1528, 48323, 2667, 85740, 13, 8408, 647, 648, 72, 490, 41203, 42603, 11, 23985, 19985, 2185, 11, 6250, 20512, 50158, 2030, 94572, 5166, 2694, 6250, 54594, 2185, 4845, 5186, 30353, 2694, 5699, 41380, 21673, 93716, 12543, 2185, 939, 16868, 58791, 6433, 9460, 1087, 66809, 13, 9740, 267, 24777, 13, 19000, 13821, 2694, 67435, 11, 31100, 408, 7714, 56580, 11, 74629, 36433, 11, 81501, 86379, 38782, 2030, 94788, 811, 2823, 21561, 70668, 12583, 4335, 383, 652, 47631, 6772, 25620, 28658, 11687, 624, 840, 465, 811, 6250, 41210, 2030, 25422, 13, 1230, 799, 81020, 64208, 41203, 25422, 6395, 15637, 268, 4895, 325, 14668, 422, 1003, 465, 11, 7219, 87862, 91912, 665, 16111, 79913, 18069, 1489, 1854, 17630, 13, 3874, 49662, 20048, 16111, 7180, 26769, 61122, 5183, 91912, 665, 10928, 31357, 42678, 36956, 13785, 37060, 13, 45481, 2746, 91912, 665, 2694, 2739, 2080, 1960, 82276, 5999, 357, 1415, 2694, 16868, 58791, 7256, 1527, 8221, 1404, 12385, 13017, 265, 8629, 2694, 82276, 2739, 69046, 6772, 13, 8408, 2739, 2080, 1960, 82276, 47650, 16034, 28831, 71865, 2694, 6250, 2080, 2185, 7219, 22163, 70, 20005, 1032, 54327, 423, 267, 78940, 13785, 66693, 723, 13, 1032, 13920, 2280, 307, 81, 7256, 91912, 665, 43303, 16034, 28831, 71865, 2694, 6250, 2080, 2185, 8793, 88766, 2667, 2257, 13, 51310, 11624, 6817, 304, 39416, 20005, 36866, 1080, 273, 2694, 2739, 2080, 1960, 82276, 5999, 60637, 28883, 16540, 54942, 665, 1527, 39416, 2154, 3122, 665, 17058, 1032, 54327, 423, 1149, 38132, 8793, 16034, 332, 2257, 13, 47436, 81331, 12643, 6538, 1032, 54327, 423, 1149, 89, 11595, 12643, 16111, 2694, 471, 7256, 25422, 4443, 94873, 408, 82195, 12495, 13, 151643, 19462, 7526, 132678, 896, 25, 74001, 570, 10938, 760, 9374, 4360, 24343, 2863, 481, 23080, 300, 350, 23348, 10938, 29769, 5016, 2863, 671, 17, 17, 14, 17, 15, 16, 17, 2030, 2746, 8800, 36614, 220, 16, 20, 3128, 349, 87791, 624, 6639, 321, 220, 17, 481, 8408, 46307, 4711, 89, 8092, 324, 220, 16, 20, 3128, 349, 87791, 198, 48733, 939, 2925, 9013, 5251, 30314, 819, 14047, 2429, 294, 12153, 69084, 278, 220, 17, 15, 16, 18, 732, 93504, 75, 2717, 2694, 46307, 4711, 89, 8092, 324, 510, 1, 53, 263, 3371, 22318, 41658, 3893, 20827, 268, 220, 16, 13, 23, 20, 20, 37888, 4413, 932, 70264, 331, 267, 1480, 77, 28122, 4711, 89, 11, 2746, 9089, 9421, 2429, 2925, 9013, 2714, 42316, 11, 12583, 14840, 5205, 220, 17, 21, 23, 37888, 20408, 2030, 40870, 1148, 676, 220, 16, 20, 78233, 2694, 36408, 1358, 21673, 1967, 275, 28122, 5760, 85526, 20408, 1931, 87481, 624, 32, 1387, 732, 294, 12153, 69084, 278, 220, 17, 15, 16, 18, 12583, 31357, 47669, 1967, 50158, 4886, 321, 20408, 21207, 343, 12743, 32863, 30179, 13, 1205, 41846, 434, 529, 343, 41137, 11595, 66386, 23118, 2746, 49371, 52015, 28122, 4711, 25329, 46887, 8629, 34368, 26252, 732, 37419, 220, 17, 15, 16, 19, 624, 18175, 49371, 52015, 28122, 4711, 25329, 46887, 8629, 312, 2125, 268, 3371, 76018, 5451, 2694, 434, 529, 343, 5760, 54377, 6538, 13785, 220, 20, 15, 78233, 2694, 2925, 9013, 46168, 275, 28122, 5760, 85526, 20408, 14840, 220, 17, 15, 16, 21, 13, 12741, 220, 1723, 66693, 968, 20005, 9680, 2185, 927, 269, 6186, 7180, 3371, 133661, 55632, 2694, 2925, 9013, 19625, 269, 10573, 268, 4116, 220, 17, 15, 16, 20, 624, 2753, 331, 1962, 1543, 2694, 33328, 10573, 268, 5451, 44499, 5760, 267, 24638, 268, 7180, 44693, 74, 780, 5999, 304, 13017, 44914, 13, 8408, 48158, 73360, 277, 50656, 7219, 2694, 44499, 267, 24638, 68, 304, 18482, 288, 30102, 12643, 7180, 1527, 42477, 220, 17, 15, 16, 19, 2714, 35608, 295, 10040, 80593, 5665, 433, 65161, 25, 20404, 35225, 2391, 1902, 4865, 2694, 46307, 4711, 89, 8092, 324, 16034, 9374, 4360, 24343, 2863, 11, 15577, 25, 220, 17, 15, 16, 18, 45274, 18, 15995, 624, 6639, 321, 220, 18, 481, 77814, 6566, 5183, 13906, 2429, 46307, 423, 69, 395, 28122, 1389, 4865, 198, 1514, 275, 6702, 220, 17, 15, 16, 18, 10246, 4370, 2429, 46307, 5760, 423, 69, 395, 28122, 5760, 1389, 4865, 425, 10141, 69, 38, 77814, 6566, 5183, 34699, 2746, 1032, 331, 13730, 68947, 50499, 939, 2925, 9013, 13906, 13, 14235, 6616, 2925, 9013, 34734, 306, 6237, 5760, 47631, 20005, 468, 287, 81, 43414, 348, 1087, 645, 426, 11, 2746, 9089, 732, 23388, 69, 742, 5840, 5451, 2429, 274, 11706, 276, 42469, 14410, 35225, 20491, 266, 21673, 5665, 23318, 81616, 268, 11, 5999, 2694, 20004, 5760, 46014, 939, 6250, 96922, 82, 143437, 650, 37285, 1038, 13, 328, 965, 665, 6616, 425, 10141, 69, 38, 3371, 77814, 6566, 5183, 9443, 4370, 11, 5999, 5451, 431, 14456, 5760, 21062, 86, 15141, 5679, 6538, 19929, 4865, 82, 5760, 423, 96922, 6395, 312, 2125, 268, 624, 6639, 321, 220, 19, 481, 8408, 59330, 2185, 2280, 10938, 198, 33, 1241, 288, 8656, 89, 1536, 258, 37143, 8755, 74, 2010, 320, 6484, 52, 8, 14322, 1704, 529, 343, 51707, 84952, 25061, 24929, 304, 17058, 47669, 20004, 61229, 2694, 10207, 21558, 76, 1960, 23080, 300, 350, 23348, 10938, 29769, 5016, 2863, 5046, 2030, 5763, 68595, 22539, 54081, 12643, 13, 330, 40369, 9544, 1147, 332, 4738, 267, 6919, 19488, 2301, 13785, 37400, 83, 11, 21903, 3263, 8755, 74, 2010, 8755, 74, 14649, 59330, 2185, 2280, 10938, 13, 151643, 35544, 14950, 42146, 220, 17, 15, 16, 23, 25, 8554, 11, 77930, 2030, 3184, 268, 65, 11706, 1732, 1021, 7180, 4368, 1007, 21649, 98886, 481, 98886, 198, 21, 13, 80157, 220, 17, 15, 16, 23, 11, 220, 16, 20, 25, 19, 17, 38183, 198, 87876, 46280, 712, 265, 11, 87862, 84579, 81760, 50499, 72170, 12788, 20096, 77868, 896, 333, 3818, 25, 49192, 3184, 268, 65, 11706, 1732, 450, 5436, 8666, 17454, 9089, 678, 135453, 6772, 220, 16, 15, 15, 13, 15, 15, 15, 42786, 624, 22171, 136142, 71865, 2694, 46287, 42146, 5999, 2746, 3184, 268, 65, 11706, 1732, 1021, 1079, 220, 16, 21, 13, 80157, 13, 758, 3371, 40462, 69713, 294, 3292, 27298, 1531, 94572, 386, 6309, 17627, 40897, 4443, 6616, 49942, 46168, 7964 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 304, 98886, 624, 60195, 953, 13, 2362, 80157, 77509, 98886, 11, 13368, 293, 3850, 1531, 19349, 15719, 25, 1527, 139376, 6772, 2694, 46287, 42146, 12583, 2746, 143089, 68143, 12495, 5451, 3184, 268, 65, 11706, 69, 1466, 12495, 387, 9903, 5178, 11, 2030, 13279, 2694, 3184, 268, 65, 11706, 1732, 1021, 6952, 267, 7253, 268, 678, 135453, 6772, 97914, 529, 2565, 355, 408, 304, 3041, 7964, 69, 299, 12032, 730, 535, 2391, 5676, 7180, 18520, 350, 22072, 12070, 1079, 21525, 624, 18175, 92610, 3145, 11595, 40897, 4443, 2746, 62554, 12583, 304, 3371, 66968, 45506, 25531, 88628, 265, 28064, 22539, 27784, 11, 2030, 47332, 1536, 896, 457, 27298, 1531, 71765, 40462, 330, 47, 1399, 12, 17053, 82, 1, 2746, 9089, 11, 773, 289, 66107, 7522, 1531, 9089, 2746, 92610, 37277, 11, 17790, 293, 29159, 2030, 1187, 27951, 47226, 2340, 962, 2030, 139349, 1323, 14931, 668, 39157, 8398, 81146, 13, 77356, 5999, 1531, 11, 7219, 663, 16335, 13368, 10928, 304, 140108, 17790, 25531, 3000, 1268, 10938, 38868, 6283, 258, 36616, 6538, 29505, 94211, 11, 11615, 7964, 2030, 4058, 11553, 70628, 39307, 91717, 54371, 1371, 10661, 37949, 2030, 6250, 8400, 70, 2185, 304, 68042, 2655, 22837, 2694, 44966, 7219, 1174, 91647, 6395, 37896, 1365, 2030, 49536, 67658, 10928, 140748, 6395, 17630, 624, 32617, 12583, 2746, 52200, 2694, 46287, 42146, 220, 17, 15, 16, 23, 510, 6667, 9418, 261, 11099, 6059, 198, 6091, 7577, 94540, 11, 220, 23, 13, 80157, 11, 30005, 8047, 6616, 1863, 306, 10721, 7180, 35515, 360, 14, 642, 65, 10559, 730, 76431, 2030, 77930, 1207, 60195, 953, 304, 2746, 14722, 49667, 2694, 48866, 98886, 320, 24, 2572, 506, 4886, 277, 5251, 39563, 267, 932, 12, 2120, 20175, 220, 16, 11, 422, 610, 4188, 958, 7997, 8, 659, 42079, 220, 16, 19, 14840, 220, 16, 22, 38183, 12643, 304, 57519, 647, 371, 125245, 4370, 2746, 23334, 1323, 1387, 22910, 1466, 265, 220, 16, 24, 16, 23, 11, 220, 16, 24, 18, 23, 2030, 220, 16, 24, 21, 23, 70056, 32030, 295, 25, 25006, 1528, 7107, 31475, 11595, 55879, 1531, 304, 2694, 9740, 15795, 3321, 392, 7637, 11, 2746, 607, 2577, 47631, 20005, 6250, 8400, 70, 2185, 6538, 13222, 19791, 70628, 668, 89, 51078, 71378, 30, 25006, 1528, 13093, 60053, 2185, 42668, 2746, 220, 16, 24, 18, 23, 4368, 746, 89, 10938, 6250, 8400, 70, 2185, 304, 2694, 3043, 11171, 68, 275, 7180, 2746, 11615, 7964, 12, 2030, 29505, 94211, 81936, 791, 2185, 2694, 28275, 74, 82491, 82, 29413, 30, 25006, 7522, 18069, 1489, 1854, 42668, 2746, 330, 11553, 29937, 22126, 1, 7180, 2746, 92979, 2694, 23111, 40, 72977, 33, 365, 791, 2185, 30, 12741, 18069, 376, 1442, 5999, 83423, 11, 9820, 1527, 87697, 21506, 2804, 15990, 31, 69291, 3591, 6847, 14821, 66386, 66107, 13920, 624, 6667, 42146, 38650, 2030, 6452, 7219, 2694, 2340, 962, 89931, 53382, 198, 6091, 8224, 46680, 11, 220, 24, 13, 80157, 11, 1152, 17029, 2746, 49942, 12, 33768, 6538, 220, 24, 14840, 220, 16, 22, 38183, 13279, 17443, 6686, 17322, 7219, 2694, 2340, 962, 89931, 53382, 13, 9236, 27298, 3091, 87460, 10559, 23334, 32507, 76, 2185, 6538, 2694, 68290, 9299, 453, 7671, 437, 10254, 14495, 331, 11, 2694, 18971, 46533, 39620, 5295, 258, 1863, 2956, 68, 2030, 24861, 16259, 28888, 5059, 88898, 5059, 11, 53797, 5547, 26770, 11, 18207, 20155, 268, 2030, 4368, 43999, 14906, 76, 13, 35780, 75590, 10552, 6772, 5999, 11, 15719, 10928, 1079, 48158, 42146, 6452, 13785, 136740, 37888, 20408, 77414, 37060, 13, 362, 13920, 2185, 25, 1527, 36601, 11595, 12583, 12222, 17790, 10712, 28275, 36601, 11595, 13906, 44340, 50837, 13, 45481, 84506, 13762, 1579, 7180, 18207, 20005, 2030, 3841, 1268, 42341, 5999, 67658, 10928, 14410, 82751, 11, 95710, 6686, 12098, 85335, 12583, 13906, 44340, 624, 6667, 42146, 12353, 732, 35232, 70, 23118, 139349, 1323, 14931, 198, 6091, 11840, 94905, 11, 220, 16, 15, 13, 80157, 63318, 4711, 2694, 35232, 70, 23118, 38897, 350, 460, 38805, 75590, 7180, 3184, 268, 65, 11706, 69, 20933, 3591, 13, 24209, 31722, 268, 5342, 42146, 16629, 268, 81146, 49536, 2746, 328, 4865, 2257, 26612, 59801, 2956, 12032, 13, 43999, 20048, 9089, 458, 36744, 12353, 13906, 44340, 7126, 5699, 76, 766, 268, 47008, 2030, 1531, 27298, 9820, 9390, 77, 10938, 431, 2305, 2576, 301, 3461, 3179, 5451, 6250, 2301, 2185, 13, 4229, 51176, 4711, 5999, 2694, 35232, 70, 23118, 139349, 1323, 14931, 6538, 220, 24, 14840, 220, 16, 23, 13, 18, 15, 38183, 11, 1531, 17837, 1960, 2746, 14089, 96049, 28397, 1726, 1064, 624, 6667, 42146, 24069, 1079, 85455, 11855, 57548, 198, 1427, 33328, 30102, 2694, 3184, 268, 65, 11706, 1732, 1021, 27298, 1531, 6538, 60404, 46680, 11, 220, 16, 17, 13, 80157, 14840, 8224, 46680, 11, 220, 16, 21, 13, 80157, 26252, 6616, 42146, 24069, 1079, 85455, 11855, 57548, 13, 42616, 22539, 2267, 406, 14821, 9820, 11401, 301, 46728, 458, 68832, 16676, 5451, 30601, 804, 47635, 268, 13906, 44340, 19349, 11, 4081, 11855, 78, 13368, 4368, 5282, 275, 27684, 31573, 529, 288, 18373, 495, 14274, 645, 844, 6331, 7180, 2714, 1626, 16053, 10938, 96998, 2030, 512, 579, 20005, 794, 13977, 74, 2185, 274, 82751, 13, 9236, 289, 23118, 23388, 89, 13820, 11, 43751, 48818, 11, 11615, 11595, 2030, 17098, 642, 18520, 13, 9740, 51176, 4711, 14821, 1079, 220, 16, 17, 13, 80157, 4443, 220, 16, 24, 13, 18, 15, 38183, 5451, 17443, 3066, 94057, 939, 23155, 28242, 928, 48672, 367, 778, 2493, 2010, 2694, 16942, 68398, 17739, 47610, 32621, 7997, 3959, 261, 34711, 34699, 6778, 13, 42161, 92610, 3145, 11595, 12583, 7126, 9057, 1387, 2257, 11, 6616, 4081, 64, 361, 73910, 75315, 883, 12412, 624, 6667, 3184, 268, 65, 11706, 1732, 1021, 198, 6091, 8224, 46680, 11, 220, 16, 21, 13, 80157, 220, 17, 15, 16, 23, 75315, 2746, 220, 17, 18, 13, 3184, 268, 65, 11706, 1732, 1021, 67317, 13, 33312, 2429, 18977, 983, 330, 28251, 11, 77038, 11, 22138, 10748, 14913, 5436, 8666, 17454, 9089, 14840, 6395, 305, 1241, 529, 2565, 355, 408, 42786, 11, 4443, 9089, 5451, 3371, 1527, 11567, 4370, 2694, 49942, 12, 33768, 6395, 6437, 41860, 16030, 624, 22171, 39272, 16597, 768, 738, 11687, 9089, 668, 220, 16, 19, 38183, 21982, 85455, 11855, 57548, 9421, 304, 37210, 791, 2185, 11, 4443, 3371, 21525, 34699, 2746, 77200, 376, 4865 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2185, 54459, 4443, 81, 22157, 13, 142073, 939, 23334, 89, 13299, 14821, 27684, 68, 17029, 2030, 633, 276, 11687, 13, 23334, 220, 16, 22, 38183, 305, 41203, 2694, 21048, 331, 7180, 9820, 55167, 77225, 11, 4443, 9089, 28789, 330, 83817, 939, 479, 14134, 74, 724, 1, 458, 502, 1952, 42786, 6395, 2714, 6130, 932, 11, 2746, 458, 2694, 15335, 10862, 65845, 31573, 1225, 13129, 22385, 44960, 2739, 47365, 7964, 12583, 12385, 7219, 59785, 54649, 1839, 70628, 61474, 36616, 12385, 35346, 273, 54327, 1713, 36614, 10672, 802, 36108, 42678, 3145, 423, 20512, 331, 724, 47650, 13, 23334, 220, 16, 23, 38183, 50926, 2746, 81741, 2986, 939, 1863, 50159, 26252, 1079, 85455, 11855, 57548, 384, 396, 64260, 624, 70451, 77070, 40897, 4443, 46287, 42146, 2030, 6616, 93898, 73910, 15719, 883, 12412, 668, 81, 28421, 624, 3477, 268, 65, 11706, 1732, 1021, 35544, 14950, 42146, 198, 38, 288, 1241, 22385, 42, 5744, 50, 44236, 142454, 32, 5368, 339, 53894, 32, 5368, 339, 1225, 365, 3591, 14027, 1174, 287, 10580, 263, 23779, 10580, 6721, 304, 98886, 41957, 135786, 50, 44236, 57548, 33, 485, 1199, 20542, 13446, 3591, 267, 151643, 57, 2941, 86975, 45, 3825, 32829, 3390, 952, 1365, 14322, 645, 23007, 276, 2372, 9812, 760, 42937, 323, 62115, 4818, 65903, 198, 58827, 645, 6331, 276, 2372, 905, 76716, 25423, 88185, 799, 77131, 2185, 198, 90940, 928, 87481, 25, 6702, 220, 17, 15, 16, 24, 624, 58827, 645, 6331, 276, 2372, 905, 5999, 1850, 265, 12755, 11, 54548, 89, 590, 15671, 11, 14948, 38897, 60404, 5342, 7180, 42786, 5451, 14612, 5744, 11595, 84911, 25423, 6772, 12583, 13, 14322, 645, 6331, 276, 2372, 905, 8896, 9820, 81314, 135573, 20005, 386, 6309, 458, 431, 433, 413, 47322, 2725, 17029, 11, 4443, 54548, 89, 590, 15671, 11, 14948, 38897, 16023, 7180, 42786, 5451, 14612, 5744, 11595, 71935, 261, 6395, 3318, 332, 5679, 2030, 84911, 25423, 50095, 5999, 11, 7219, 59785, 2694, 18859, 268, 49371, 37400, 2185, 11, 14948, 55928, 23276, 331, 6616, 1032, 13920, 8896, 11, 304, 467, 5186, 450, 11, 479, 54371, 22385, 11, 26692, 3969, 2030, 1230, 138644, 50499, 6395, 97872, 624, 57, 768, 25423, 88185, 7219, 14322, 645, 6331, 276, 2372, 905, 198, 58827, 645, 6331, 276, 2372, 905, 97096, 6616, 2657, 35054, 16023, 80272, 12980, 17312, 90769, 11, 6616, 6538, 17443, 7681, 449, 77399, 76716, 25423, 88185, 778, 2836, 1274, 73461, 14821, 13, 8408, 4377, 97035, 37633, 1531, 14322, 645, 6331, 276, 2372, 905, 11, 2746, 18069, 39416, 2185, 2694, 57123, 3732, 3591, 7180, 2746, 76716, 25423, 88185, 6538, 4895, 31500, 35505, 320, 25459, 1890, 220, 17, 13, 16, 8, 6395, 98038, 932, 624, 90940, 344, 16030, 939, 76716, 25423, 6772, 440, 1199, 5676, 126827, 198, 32617, 76716, 25423, 6772, 440, 1199, 5676, 2391, 6538, 14322, 645, 6331, 276, 2372, 905, 15719, 49183, 17029, 12643, 11, 64289, 8495, 7219, 6616, 19612, 7180, 6616, 76716, 25423, 6772, 440, 1199, 5676, 2391, 304, 2694, 468, 60273, 2694, 47404, 595, 93790, 13, 28275, 2429, 20004, 131807, 11759, 939, 76716, 25423, 6772, 440, 1199, 5676, 126827, 289, 23118, 8495, 67382, 15462, 38996, 11, 14840, 6616, 76716, 25423, 6772, 440, 1199, 5676, 2391, 56354, 47635, 343, 17837, 21140, 5999, 624, 58827, 645, 6331, 276, 2372, 905, 738, 11687, 38897, 425, 336, 21558, 11595, 11845, 11, 2746, 76716, 25423, 88185, 53936, 16023, 2030, 53936, 60404, 267, 273, 380, 11595, 357, 130337, 6395, 98038, 932, 11, 304, 2694, 49371, 37400, 2185, 11, 14948, 1531, 44367, 47119, 273, 5840, 533, 15659, 10559, 6250, 15897, 37633, 2185, 5999, 11, 9820, 4317, 426, 1469, 11, 84911, 25423, 20005, 2030, 66796, 73938, 13820, 84605, 10928, 7180, 2746, 23166, 6433, 6538, 6975, 5451, 14612, 5744, 11595, 6395, 97035, 21673, 624, 51, 4640, 89, 44160, 425, 336, 21558, 11595, 11, 12304, 82276, 2030, 91912, 665, 7219, 14322, 645, 6331, 276, 2372, 905, 56354, 47635, 343, 84911, 25423, 6772, 6395, 37896, 11, 12583, 63620, 91912, 665, 22163, 70, 50095, 41210, 17790, 8793, 56354, 47635, 343, 458, 2746, 5412, 968, 15795, 76716, 25423, 6772, 440, 1199, 2685, 2347, 32175, 41101, 267, 30179, 13, 23980, 15719, 74054, 49503, 89, 1704, 21558, 1440, 19349, 11, 14948, 16111, 8793, 2746, 1079, 52747, 56505, 622, 7714, 2799, 10559, 89452, 2185, 81671, 12385, 3524, 333, 449, 17029, 17630, 624, 50, 965, 1960, 8495, 5451, 87262, 89463, 7522, 758, 35505, 7219, 14322, 645, 6331, 276, 2372, 905, 29505, 1268, 343, 51707, 17630, 12385, 92660, 5451, 6216, 58773, 68413, 47355, 44160, 16023, 91304, 6433, 11, 40746, 16030, 8495, 6975, 67382, 66983, 2694, 4622, 268, 137194, 2986, 14668, 11, 13368, 82816, 32175, 42316, 11, 2030, 16111, 82197, 43860, 54064, 30632, 624, 70194, 8495, 4368, 76716, 25423, 6772, 440, 1199, 34586, 296, 57588, 85970, 11, 70777, 17630, 12385, 92660, 91304, 6433, 11, 289, 19875, 8495, 9089, 67382, 13368, 9443, 5178, 458, 3371, 14322, 645, 6331, 276, 2372, 905, 15843, 1241, 408, 3591, 267, 25, 151643, 40369, 12422, 579, 13279, 3371, 8459, 22837, 304, 18090, 24, 11, 2994, 15719, 10638, 68876, 14948, 301, 1371, 37896, 11, 12222, 35141, 10638, 67952, 8793, 44390, 98344, 281, 1489, 559, 932, 2030, 15719, 458, 2818, 65, 7272, 794, 6712, 6616, 16868, 58791, 7256, 8459, 321, 52367, 2892, 4894, 74909, 27298, 1531, 10489, 82032, 724, 9820, 1527, 74462, 13368, 883, 2746, 350, 439, 3658, 5451, 17443, 38684, 73937, 10712, 2429, 19662, 328, 22615, 74191, 382, 83953, 93822, 15113, 932, 8793, 67058, 2818, 12755, 11, 282, 2391, 79788, 9911, 3371, 87727, 359, 268, 2746, 730, 27277, 25, 2502, 20480, 13, 96520, 220, 16, 13, 16, 13, 17, 15, 16, 16, 141489, 77775, 58217, 668, 220, 16, 15, 13, 15, 15, 15, 18069, 1126, 24134, 932, 34542, 20605, 838, 544, 1100, 268, 19767, 131527, 2030, 27227, 7997, 70, 66976, 2739, 71, 25423, 268, 13, 93403, 61231, 408, 12583, 2746, 87943, 35649, 27227, 7997, 28852, 450, 6130, 1466, 5676, 41488, 27431, 23103, 56539, 343, 12743, 645, 4370, 13, 38747, 63620, 1863, 58193, 6538, 220, 17, 15, 16, 16, 11, 27227, 7997, 28852, 450, 6130, 1466, 5676, 1640, 4188, 35225, 39307, 462, 18069, 1126, 71, 1194, 510, 83953, 3371, 1298, 15843, 453, 69, 13431, 6130, 1466, 5676, 10246, 4370, 274, 70487, 73411, 13279, 3371, 77775, 58217, 668, 220, 16, 15, 13, 15, 15, 15, 18069, 1126, 24134, 932, 1863, 21188, 2863, 2030 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18994, 77, 11042, 458, 2694, 81741, 2986, 26, 86547, 5999, 39771, 14835, 261, 8400, 15525, 28064, 2073, 10712, 85445, 13, 51709, 268, 35346, 19154, 343, 440, 1199, 2391, 9160, 2122, 11595, 1197, 35505, 2746, 27227, 7997, 70, 66976, 10928, 5540, 423, 709, 12032, 2030, 32936, 2521, 17395, 2185, 2280, 307, 14408, 51707, 13, 8408, 1863, 58193, 47650, 14047, 17058, 26349, 16676, 1527, 83301, 2694, 434, 10298, 732, 11426, 4578, 81331, 624, 641, 431, 1021, 1371, 360, 12643, 502, 36956, 6772, 2162, 13, 220, 17, 19, 15, 13, 15, 15, 15, 19461, 12222, 5451, 88128, 932, 384, 27918, 46646, 11, 2746, 10489, 82032, 724, 10928, 732, 14101, 1116, 3145, 18859, 384, 17707, 20827, 12583, 13, 9740, 86, 61811, 295, 12643, 9911, 6538, 220, 19, 16, 18713, 58158, 624, 63599, 25230, 431, 645, 500, 10141, 91712, 37633, 1079, 220, 17, 17, 13, 6702, 220, 17, 15, 16, 17, 220, 16, 18, 13, 42256, 220, 17, 15, 16, 19, 730, 7593, 3591, 85445, 11, 37337, 11759, 11, 82745, 45608, 8, 939, 350, 1134, 30124, 13363, 86, 9416, 465, 2502, 20480, 11, 18994, 77, 11042, 11, 86547, 11, 20605, 838, 544, 1080, 273, 11, 431, 1021, 1371, 360, 11, 1863, 21188, 2863, 15799, 39041, 24585, 142675, 20048, 8495, 9089, 10928, 14047, 2694, 73796, 28324, 758, 28551, 44914, 72164, 30632, 41557, 6395, 220, 16, 15, 15, 4, 7219, 6975, 2739, 70489, 624, 4872, 7276, 932, 35608, 2185, 732, 141506, 84732, 276, 12385, 7219, 2694, 38684, 47404, 2694, 44966, 481, 25987, 72101, 81, 3092, 13785, 5765, 69521, 52549, 2746, 6250, 90226, 50837, 13, 74303, 2030, 6395, 423, 139377, 11, 7180, 8700, 12, 18592, 285, 4081, 11855, 78, 13368, 7180, 15438, 266, 23333, 7070, 13, 151643, 8747, 4509, 2584, 609, 17322, 2694, 730, 10523, 77, 1365, 220, 16, 15, 19851, 385, 9285, 573, 1690, 7180, 82, 69713, 10938, 198, 53, 263, 75410, 7276, 477, 18233, 13785, 79509, 69, 17750, 14840, 51721, 6395, 19725, 77, 5788, 5999, 10928, 46668, 69713, 10938, 304, 4928, 90101, 26252, 773, 18069, 51663, 2478, 4894, 37, 477, 18233, 13785, 38650, 18233, 481, 46668, 69713, 10938, 14821, 1531, 55813, 83758, 11, 9089, 7180, 4368, 3665, 1079, 12353, 6395, 36852, 98975, 0, 61043, 485, 220, 16, 15, 29873, 1690, 37896, 30094, 26769, 19572, 2694, 74857, 305, 1847, 44275, 4368, 293, 1038, 7522, 71935, 261, 13, 11401, 301, 140748, 4894, 1806, 134128, 7256, 143089, 74, 59391, 1536, 9421, 47808, 44966, 74247, 426, 1531, 1079, 69713, 10938, 21982, 220, 17, 21, 13, 481, 220, 17, 23, 13, 72124, 220, 17, 15, 16, 24, 26252, 14047, 4928, 90101, 1365, 4081, 27097, 458, 3371, 85455, 11855, 12, 2030, 15696, 1371, 258, 57548, 13, 71161, 52434, 75315, 6616, 4414, 37035, 143089, 74, 59391, 1536, 69, 10863, 4929, 4509, 2584, 67317, 13, 42616, 18302, 288, 37419, 6952, 267, 7253, 268, 16358, 22740, 13518, 11, 6879, 1268, 11, 5331, 24803, 11, 794, 301, 5679, 43183, 84, 802, 2030, 41983, 18520, 24440, 64894, 19294, 2030, 37896, 6616, 17322, 6395, 17443, 7219, 1580, 19875, 3665, 7180, 2746, 93898, 88537, 4894, 54, 1020, 30, 7577, 94540, 14840, 11840, 94905, 11, 220, 17, 21, 13, 481, 220, 17, 23, 13, 72124, 220, 17, 15, 16, 24, 198, 62762, 30, 85455, 11855, 57548, 609, 15696, 1371, 258, 57548, 11, 220, 23, 21, 16, 20, 15, 4928, 90101, 198, 17, 13, 84450, 13342, 26824, 6222, 316, 1174, 52764, 198, 6091, 7577, 94540, 5999, 2746, 84450, 135786, 389, 3940, 0, 71161, 28789, 79509, 52764, 2714, 35608, 295, 97703, 4368, 308, 1216, 73910, 57465, 39337, 732, 444, 8666, 11, 732, 8670, 2516, 72, 11, 304, 2694, 2055, 6161, 22112, 11, 10712, 10928, 7219, 2429, 11840, 77, 10938, 377, 25, 9656, 39264, 594, 7219, 2429, 11840, 77, 10938, 377, 13279, 17443, 45763, 3138, 5451, 36301, 6433, 84520, 668, 220, 16, 22, 38183, 13, 3680, 220, 17, 15, 38183, 65836, 15687, 97703, 7219, 9820, 6381, 34315, 6686, 9164, 7219, 2694, 444, 8666, 9285, 615, 13256, 3457, 10316, 11, 21506, 61805, 336, 5451, 18069, 55313, 14741, 267, 13, 35780, 9101, 610, 17790, 2746, 134883, 25061, 5699, 23593, 268, 686, 11, 2694, 39264, 4759, 14047, 75410, 45061, 76, 473, 1640, 444, 8666, 11, 304, 2746, 2055, 6161, 12385, 1640, 8670, 2516, 72, 624, 54, 1020, 30, 7577, 94540, 11, 220, 17, 21, 13, 72124, 220, 17, 15, 16, 24, 11, 668, 220, 16, 22, 38183, 198, 62762, 30, 84450, 135786, 11, 220, 23, 21, 16, 20, 15, 4928, 90101, 198, 18, 13, 17322, 2694, 730, 10523, 77, 198, 1427, 89507, 939, 4928, 82, 62452, 30251, 724, 52764, 288, 75315, 10928, 46668, 37419, 26252, 6616, 17322, 2694, 730, 10523, 77, 67317, 1365, 4368, 54936, 64321, 70, 51663, 11, 26073, 288, 5264, 6691, 404, 75410, 69, 10863, 11, 13279, 2429, 730, 59391, 1536, 9421, 47808, 44966, 7219, 2746, 425, 21558, 12495, 732, 9305, 1466, 1055, 11, 1079, 54092, 84590, 2030, 732, 4311, 10140, 58065, 13, 96943, 12643, 95710, 730, 10523, 77, 57465, 39337, 3091, 87460, 16053, 10712, 10928, 74416, 13762, 16053, 53383, 133429, 13, 45481, 6975, 36108, 2694, 52200, 939, 30251, 724, 52764, 288, 4894, 54, 1020, 30, 7577, 94540, 2030, 8224, 46680, 11, 220, 17, 21, 13, 609, 220, 17, 22, 13, 72124, 220, 17, 15, 16, 24, 198, 62762, 30, 9305, 1466, 1055, 11, 54092, 84590, 2030, 4311, 10140, 198, 19, 13, 16354, 723, 424, 732, 31329, 6199, 838, 198, 32, 13299, 10269, 5999, 80776, 13002, 17872, 1371, 0, 49192, 3841, 1268, 46668, 1527, 33868, 8896, 9089, 2694, 31329, 6199, 838, 4928, 90101, 39771, 18078, 14184, 288, 9421, 3556, 15938, 25, 47436, 3371, 422, 1121, 723, 8535, 6538, 220, 17, 16, 13, 72124, 14840, 220, 16, 16, 13, 6156, 220, 17, 15, 16, 24, 51528, 53165, 11840, 94905, 34699, 220, 16, 18, 38183, 2694, 50008, 6237, 72101, 2694, 3303, 1174, 4060, 9420, 1121, 10798, 29560, 9421, 17139, 1280, 304, 3371, 31329, 6199, 838, 11, 20624, 268, 730, 35548, 24929, 1079, 6990, 17739, 74519, 16754, 6576, 5451, 4928, 82, 62452, 330, 54, 17872, 1371, 13002, 33758, 1, 387, 30166, 654, 83, 14821, 13, 141196, 65836, 15687, 52434, 9820, 2694, 74539, 1960, 5650, 613, 68143, 18759, 54708, 85117, 2030, 5282, 275, 9057, 4865, 6433, 13, 45481, 43999, 282, 21519, 3342, 2746, 19643, 7671, 29560, 29134, 19767, 6616, 16328, 13, 8408 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 422, 1121, 723, 424, 12583, 4368, 9740, 273, 11081, 285, 7180, 2746, 93898, 88537, 4894, 54, 1020, 30, 619, 14134, 11840, 94905, 11, 220, 17, 16, 13, 72124, 481, 220, 16, 16, 13, 6156, 220, 17, 15, 16, 24, 11, 220, 16, 16, 481, 220, 16, 21, 38183, 198, 62762, 30, 31329, 6199, 838, 11, 79247, 77, 10573, 261, 135786, 220, 17, 17, 11, 220, 23, 21, 16, 20, 24, 4928, 90101, 198, 20, 13, 51350, 811, 17322, 220, 17, 15, 16, 24, 198, 42074, 686, 267, 6419, 75410, 42759, 1440, 2030, 49536, 55248, 97973, 17790, 39771, 479, 2095, 11460, 30, 72915, 668, 16034, 51350, 811, 17322, 0, 71161, 2694, 51350, 811, 17322, 384, 5058, 13, 8896, 1531, 9089, 17312, 25714, 61229, 69876, 11, 63657, 730, 16074, 3226, 465, 641, 12495, 9421, 4928, 90101, 2030, 23334, 92135, 6395, 40500, 6498, 932, 2030, 2746, 42678, 93232, 458, 289, 2267, 4832, 14033, 7256, 46743, 268, 6395, 8329, 268, 13, 23980, 288, 37419, 14821, 13279, 2694, 96042, 74539, 1960, 20004, 61229, 939, 51350, 811, 38650, 18233, 13279, 2694, 12836, 263, 36855, 20411, 6616, 10304, 38817, 18114, 76, 27665, 285, 143037, 13, 479, 1070, 75410, 11, 1152, 1543, 98675, 2030, 9390, 77, 10938, 68832, 482, 5451, 946, 9913, 2071, 362, 39470, 268, 289, 23118, 7219, 97703, 4894, 21, 13, 467, 81053, 84732, 276, 198, 42074, 686, 267, 6616, 69713, 10938, 36852, 848, 406, 5451, 17443, 19725, 20406, 4368, 43183, 13160, 47008, 30, 72915, 668, 1640, 4928, 82, 62452, 2918, 321, 9971, 529, 301, 0, 71161, 1079, 7577, 94540, 1152, 72, 932, 6616, 6792, 2030, 2694, 58329, 3313, 10140, 74354, 309, 7219, 2694, 467, 81053, 458, 2694, 58329, 3313, 135786, 2030, 2739, 61194, 59493, 4368, 19725, 20406, 5451, 595, 21558, 2892, 2126, 134291, 2712, 11, 49848, 2030, 2502, 81788, 1579, 13, 7281, 12222, 17790, 19725, 20406, 33425, 68, 2030, 49848, 70, 332, 4368, 4748, 268, 2030, 2478, 39264, 594, 0, 42584, 220, 17, 15, 38183, 65836, 15687, 10489, 82032, 724, 732, 6792, 10928, 17790, 2746, 11840, 1107, 11855, 54377, 330, 32, 13299, 10269, 220, 17, 15, 19, 15, 481, 547, 3481, 3591, 17058, 3275, 490, 41203, 6433, 54092, 1, 9057, 4865, 6433, 13, 12741, 18069, 376, 1442, 5999, 83423, 624, 62762, 30, 58329, 3313, 135786, 220, 19, 21, 11, 220, 23, 21, 16, 20, 18, 4928, 90101, 198, 22, 13, 11581, 12, 10674, 10911, 1176, 304, 2694, 12764, 343, 4716, 198, 18175, 12764, 343, 4716, 609, 38896, 2739, 3435, 31722, 295, 9089, 481, 2030, 6616, 5451, 17443, 13620, 13956, 0, 12741, 730, 24537, 40, 384, 5058, 13, 93250, 83, 59228, 72705, 44966, 41861, 539, 6538, 13906, 13785, 220, 18, 15, 45506, 2030, 2739, 61194, 93908, 11581, 12, 10674, 11158, 5251, 355, 1579, 6538, 7577, 94540, 220, 16, 20, 38183, 14840, 11840, 94905, 13, 21766, 49536, 21506, 61805, 336, 66789, 1536, 11, 6841, 10787, 11032, 2030, 8408, 730, 79870, 65, 8341, 13, 25714, 15462, 43243, 67, 6433, 22080, 31722, 4894, 54, 1020, 30, 7577, 94540, 14840, 11840, 94905, 11, 220, 17, 21, 13, 481, 220, 16, 23, 72124, 220, 17, 15, 16, 24, 11, 668, 220, 16, 20, 38183, 198, 62762, 30, 12764, 343, 4716, 609, 38896, 11, 3303, 1374, 261, 37968, 57548, 11, 220, 23, 21, 16, 20, 21, 4928, 90101, 198, 23, 13, 4928, 82, 62452, 142126, 94650, 6395, 25471, 2628, 2030, 59363, 198, 65835, 9971, 301, 7577, 72, 22385, 2739, 140464, 9820, 4724, 562, 17606, 645, 304, 9919, 14668, 6538, 37156, 2030, 1032, 13920, 2154, 453, 360, 2142, 355, 30, 27258, 12583, 2746, 38124, 5679, 2694, 7577, 72, 22385, 6395, 74247, 12032, 30, 2362, 1863, 4733, 2694, 4928, 82, 62452, 142126, 94650, 6395, 25471, 2628, 2030, 59363, 11, 51873, 9089, 47143, 16034, 220, 17, 13, 8394, 56872, 9, 34711, 11, 730, 494, 1723, 331, 2649, 10938, 11, 7659, 1268, 10938, 2030, 467, 79748, 1536, 9, 34711, 304, 2694, 434, 768, 1389, 44278, 11, 4443, 74354, 309, 13785, 22318, 29937, 14410, 69701, 6772, 78315, 4942, 663, 16335, 2030, 34749, 13093, 68, 6128, 309, 26612, 304, 3371, 730, 16074, 15795, 6395, 13364, 332, 16030, 13, 21766, 49536, 575, 5849, 13, 431, 1743, 46420, 11, 328, 579, 3923, 273, 17195, 19666, 1762, 1847, 2030, 32895, 25288, 431, 2956, 14398, 4260, 13, 23980, 288, 37419, 32101, 426, 9089, 35951, 4443, 6616, 61150, 7577, 72, 22385, 13, 9656, 39264, 594, 1079, 11840, 94905, 668, 220, 17, 15, 38183, 5451, 17058, 16821, 2356, 1991, 288, 649, 31573, 6395, 80331, 97369, 22385, 732, 2918, 9484, 11509, 11, 575, 13, 264, 13, 5451, 24548, 300, 70, 337, 69246, 33756, 624, 54, 1020, 30, 11840, 94905, 14840, 60404, 46680, 11, 220, 17, 23, 13, 481, 220, 18, 15, 13, 72124, 220, 17, 15, 16, 24, 198, 62762, 30, 794, 329, 18387, 2391, 331, 485, 72, 4928, 90101, 11, 9919, 768, 31551, 609, 2918, 9484, 11509, 198, 24, 13, 4928, 82, 62452, 479, 687, 17322, 198, 38, 258, 7276, 596, 7219, 709, 41101, 267, 0, 71161, 7219, 2694, 289, 31009, 331, 2956, 12495, 11840, 77, 306, 615, 13256, 939, 3360, 6433, 48020, 422, 55314, 19822, 1440, 304, 2694, 7487, 135786, 75315, 1079, 8224, 46680, 6616, 220, 17, 13, 4928, 82, 62452, 479, 687, 17322, 67317, 13, 51709, 268, 2694, 387, 446, 16335, 86489, 411, 8125, 25564, 65836, 15687, 97703, 52434, 19767, 95710, 56106, 2030, 50583, 30289, 14011, 39620, 90360, 3566, 16030, 2030, 97703, 7219, 2746, 79041, 14047, 1581, 68413, 21491, 97463, 12010, 258, 37896, 624, 54, 1020, 30, 8224, 46680, 11, 220, 17, 22, 13, 72124, 220, 17, 15, 16, 24, 11, 668, 220, 16, 23, 38183, 198, 62762, 30, 3360, 6433, 48020, 14552, 422, 55314, 19822, 1440, 11, 55525, 68083, 135786, 220, 19, 15, 11, 220, 23, 21, 16, 20, 15, 4928, 90101, 198, 16, 15, 13, 23291, 392, 46745, 13363, 198, 26034, 68573, 4368, 69713, 408, 12010, 34705, 28883, 6616, 23291, 392, 46745, 13363, 6395, 66386, 21519, 12495, 30, 71161, 2694, 10762, 285, 850, 794, 329, 2172, 372, 384, 5058, 13, 2739, 61194, 93908, 5451, 2429, 17322, 18302, 288, 37419, 4368, 946, 9913, 1886, 20404, 309, 6242, 359, 267, 58864, 5451, 11158, 5251, 355, 1579, 11, 5547, 26770, 11, 6852, 4122, 11, 38868, 17405, 268, 11, 647, 371, 125245, 4370, 4992, 13, 55448, 46668, 69713 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10938, 12583, 52434, 63620, 1062, 1263, 92610, 3145, 11595, 29167, 65628, 11, 21506, 61805, 336, 9820, 5264, 63270, 11, 13279, 2694, 15687, 34542, 1581, 258, 54507, 10712, 21387, 21506, 37210, 68, 285, 68102, 65836, 13, 151643, 44667, 26769, 61043, 28064, 22385, 9421, 89, 324, 2305, 27899, 11, 8896, 2746, 5363, 72, 23647, 277, 64002, 64649, 1330, 20542, 2694, 62724, 732, 4697, 15843, 258, 35363, 29618, 285, 17312, 14612, 437, 37949, 46668, 663, 16335, 22097, 9111, 288, 48376, 301, 21140, 13, 12741, 33328, 2685, 64015, 10712, 97576, 12, 2030, 282, 610, 74, 1241, 7256, 142127, 2154, 92307, 258, 2746, 732, 13017, 64786, 28122, 47631, 259, 14033, 7256, 1032, 54327, 276, 86, 41203, 258, 67588, 2210, 98918, 11, 2746, 9089, 4443, 6616, 29608, 477, 2032, 1928, 266, 732, 74857, 54942, 285, 220, 16, 22, 20, 26956, 404, 12755, 11, 2030, 42250, 77, 45462, 316, 704, 59380, 79, 30875, 351, 11706, 6252, 579, 529, 730, 1512, 71, 615, 6538, 2694, 13017, 64786, 28122, 267, 6712, 939, 4697, 15843, 258, 35363, 29618, 4909, 22539, 34711, 624, 33, 7066, 2210, 98918, 8300, 65161, 13785, 84687, 258, 11866, 665, 939, 13017, 64786, 28122, 265, 54327, 13, 96943, 357, 613, 665, 9911, 10712, 97168, 306, 20005, 2030, 1147, 306, 45040, 1527, 87227, 11595, 458, 2746, 13017, 64786, 2185, 83380, 510, 4142, 12741, 77420, 20005, 65608, 47226, 13017, 265, 8801, 2030, 13017, 265, 332, 336, 5999, 6616, 362, 5, 506, 198, 4142, 55448, 13279, 357, 13977, 74, 3667, 14612, 5744, 2185, 939, 13017, 265, 13160, 87231, 2694, 13017, 64786, 10938, 8793, 13785, 2139, 226, 33007, 268, 58009, 69, 51721, 28129, 126, 241, 93403, 57926, 11595, 51873, 198, 4142, 647, 17391, 524, 7256, 25714, 61229, 939, 13017, 64786, 388, 5999, 1531, 11, 6616, 467, 39337, 939, 13017, 265, 13160, 6395, 9089, 932, 2030, 18747, 68947, 53936, 467, 66107, 1528, 6395, 1424, 17454, 39307, 10928, 38897, 2139, 226, 6984, 1728, 7997, 21673, 467, 66107, 1528, 126, 241, 83380, 89, 1704, 58217, 2030, 87488, 408, 6395, 36852, 98975, 624, 47789, 288, 1147, 306, 45040, 21756, 76133, 5342, 9820, 36195, 2030, 12709, 132894, 267, 2922, 36035, 13820, 50244, 649, 1777, 9421, 11, 304, 2694, 34734, 1952, 77420, 20005, 41663, 74374, 5451, 2694, 2694, 29413, 6433, 13017, 64786, 28122, 649, 7184, 39307, 48842, 9421, 80072, 268, 11, 25987, 325, 71, 11736, 8535, 13785, 6616, 13017, 64786, 2185, 2280, 65935, 304, 44979, 348, 6670, 85426, 47650, 624, 623, 713, 86, 16568, 31008, 50244, 649, 1777, 43303, 2139, 226, 47, 69, 48414, 354, 2685, 2030, 20624, 268, 20004, 86, 14136, 11595, 7219, 2746, 42068, 4757, 649, 7184, 126, 241, 11, 2139, 226, 47631, 20005, 1634, 375, 40951, 2694, 19716, 36616, 126, 241, 11, 2139, 226, 52, 12311, 524, 5451, 468, 5428, 1732, 77, 36964, 2030, 51239, 423, 127846, 4370, 939, 13017, 265, 13160, 11, 479, 8698, 74, 9935, 2030, 69806, 129578, 9034, 126, 241, 11, 2139, 226, 6566, 87231, 13017, 64786, 2185, 458, 1580, 268, 11, 7060, 20427, 376, 8535, 30, 126, 241, 11, 2139, 226, 97369, 87818, 306, 13536, 71, 10938, 11331, 7997, 38130, 5676, 126, 241, 575, 13, 2305, 624, 26034, 2746, 8907, 37347, 13785, 5883, 12, 10361, 8535, 32175, 426, 11, 12709, 134662, 13820, 9089, 67588, 2210, 98918, 93395, 595, 1003, 16053, 13, 19000, 25987, 65423, 13703, 7256, 2139, 244, 8725, 42137, 139906, 6616, 548, 2305, 58773, 8755, 74, 14649, 2694, 8907, 4865, 261, 96346, 2185, 304, 3371, 3264, 3591, 2139, 244, 1147, 3885, 380, 25494, 14226, 23995, 19488, 142845, 13, 9236, 42137, 5214, 517, 11, 26769, 6395, 2739, 541, 64649, 258, 932, 13, 8495, 511, 3591, 48803, 25973, 695, 2694, 2009, 14082, 7951, 36614, 2694, 13017, 64786, 2185, 304, 44979, 624, 35, 10352, 316, 704, 59380, 79, 30875, 351, 40532, 6252, 579, 529, 730, 1512, 71, 615, 6538, 2694, 13017, 64786, 28122, 267, 6712, 939, 4697, 15843, 258, 35363, 29618, 4909, 2714, 77131, 665, 9421, 72313, 6772, 458, 73455, 17739, 2823, 285, 2493, 8398, 3371, 91513, 31722, 47226, 2139, 226, 2082, 52015, 126, 241, 2030, 2139, 226, 2082, 1580, 2185, 126, 241, 13, 2139, 226, 17360, 5999, 8793, 773, 11, 6616, 1274, 299, 25651, 268, 20465, 23348, 6772, 51707, 24440, 77420, 95285, 22665, 64732, 93403, 57926, 28122, 47631, 1197, 89, 11706, 12643, 15719, 12385, 14821, 126, 241, 11, 773, 730, 1512, 71, 615, 13, 9740, 1274, 52277, 11, 14948, 1531, 12222, 4368, 2139, 226, 265, 1054, 8345, 529, 288, 1527, 376, 2032, 47631, 126, 241, 3893, 1371, 13, 16887, 11, 22075, 1531, 51939, 537, 40231, 343, 14821, 11, 14948, 4368, 13017, 265, 8801, 12385, 9820, 13017, 265, 8801, 258, 1850, 32863, 12643, 35141, 11, 8896, 26769, 7357, 12222, 4368, 25494, 384, 40399, 16789, 15141, 74, 2338, 1032, 13920, 93403, 57926, 11595, 7180, 2746, 1274, 299, 542, 1952, 6395, 1274, 64786, 10938, 7357, 6395, 282, 32251, 268, 11, 13368, 28086, 51743, 98918, 138936, 8896, 624, 6464, 42950, 86759, 5999, 342, 52633, 3818, 11, 14948, 11, 28883, 61430, 261, 20005, 93716, 12543, 2185, 11, 31357, 97168, 306, 21673, 93403, 57926, 11595, 633, 299, 25651, 12643, 141489, 13, 55448, 27298, 1531, 41488, 220, 16, 24, 24, 17, 31357, 4863, 76, 34271, 42603, 18520, 624, 42, 1512, 71, 615, 1850, 14033, 17917, 8725, 14047, 3612, 19358, 6772, 2030, 1901, 449, 8345, 529, 67952, 2746, 68042, 6250, 96922, 778, 331, 98280, 11, 1527, 129602, 11595, 2030, 93403, 57926, 11595, 11, 58319, 304, 17443, 13017, 64786, 28122, 423, 96922, 17312, 467, 65224, 2694, 1032, 38486, 2694, 425, 8804, 25651, 268, 537, 40231, 343, 12583, 13, 2139, 226, 80593, 12304, 468, 287, 81, 43414, 13368, 1147, 1785, 13, 29247, 2956, 58305, 844, 48414, 89249, 14821, 4368, 19929, 4865, 82, 9433, 93383, 91304, 17917, 126, 241, 11, 35276, 15141, 11687, 98918, 13, 472, 1330, 4865, 6772, 939, 547, 12311, 64487, 5451, 51239, 2030, 2429, 678, 64649, 16676, 29247, 2956, 4370, 69499, 11, 13368, 67588, 2210, 98918, 16540, 267, 9307, 529, 11, 14948, 2694, 13017, 265, 8801, 2739, 15897, 37633, 295, 5999, 11, 51239, 2030, 29247, 2956, 4370, 2139, 226, 86, 61811, 6772, 6395, 2739, 26397, 1960, 126, 241, 13, 431, 1241, 4368, 422, 1003, 22924, 47808, 13017, 64786, 2185, 17246, 128209, 12643, 6538, 91970, 39867, 2305, 872, 77, 6454, 485, 5178, 11, 77414, 665, 6252, 579, 529, 730, 1512, 71, 615, 35276, 15141 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 85348, 5451, 624, 39, 1330, 4865, 6772, 2694, 67232, 54377, 11, 7060, 83880, 2746, 7107, 82017, 36108, 13017, 64786, 388, 13906, 25402, 2660, 11, 138936, 6252, 579, 529, 730, 1512, 71, 615, 53797, 11, 14948, 12412, 62401, 2746, 13017, 64786, 28122, 267, 6712, 647, 79985, 43183, 709, 21506, 20512, 632, 2030, 14948, 6616, 19929, 4865, 7219, 31008, 47227, 55754, 9421, 86, 21519, 273, 2030, 1850, 6712, 13, 9740, 50232, 3342, 30632, 9421, 11, 14948, 1531, 304, 44979, 2694, 29413, 40897, 220, 16, 11, 18, 98435, 13017, 64786, 2185, 17246, 128209, 3893, 1371, 11, 2746, 13368, 9443, 5178, 1274, 265, 332, 12643, 25, 220, 20, 22, 1018, 6538, 52159, 3591, 844, 129602, 6433, 11, 220, 21, 1018, 6538, 35246, 1440, 35225, 21673, 11, 2746, 8793, 10991, 129602, 7256, 12583, 11, 220, 21, 1018, 6538, 13017, 64786, 28122, 19289, 16676, 2030, 220, 18, 16, 4, 6538, 8907, 1704, 16892, 46887, 84, 932, 13, 220, 16, 24, 24, 24, 43303, 1531, 17790, 220, 21, 17, 4, 52159, 3591, 844, 129602, 7256, 2030, 220, 24, 4, 95243, 7256, 35246, 1440, 35225, 6772, 259, 14033, 7256, 11, 2746, 13017, 64786, 11595, 27684, 21558, 3342, 17630, 624, 33, 7066, 2210, 98918, 282, 50753, 665, 30632, 9421, 11, 14948, 2746, 82745, 2694, 13017, 64786, 2185, 17246, 128209, 304, 44979, 20153, 258, 84, 1268, 6772, 4087, 7256, 13, 19000, 42137, 575, 5849, 13, 7219, 2746, 32050, 1489, 32454, 2185, 13815, 7073, 52159, 3591, 22328, 90360, 11, 7219, 2746, 2429, 3178, 10559, 92979, 320, 18982, 18520, 42786, 12643, 25531, 88768, 465, 8, 2030, 7219, 3371, 30653, 16034, 11327, 46168, 7964, 49503, 89, 1704, 21558, 1440, 624, 641, 289, 610, 6681, 336, 11331, 23455, 34368, 24638, 68, 9089, 2746, 13017, 64786, 28122, 1921, 40231, 50499, 10928, 7219, 502, 2391, 968, 485, 42786, 13, 2362, 1174, 18520, 42786, 304, 2694, 13017, 64786, 2185, 511, 3591, 47332, 301, 2301, 13, 8408, 1032, 54327, 276, 86, 41203, 258, 582, 380, 74054, 51721, 11, 14948, 34749, 45515, 1937, 34711, 2030, 45515, 48414, 12222, 2139, 226, 47631, 20005, 13017, 265, 8801, 126, 241, 511, 3591, 13, 12741, 268, 13017, 64786, 2185, 34368, 24638, 68, 9089, 8793, 7219, 38596, 3848, 273, 380, 11595, 304, 2694, 678, 83, 2305, 70, 21673, 65314, 132975, 13, 15017, 276, 2714, 2712, 811, 883, 11, 14948, 13017, 64786, 2185, 19767, 15462, 1850, 613, 1960, 1032, 54327, 276, 86, 3145, 2030, 38596, 52764, 82017, 732, 2009, 4578, 80260, 6772, 342, 52633, 3818, 12583, 624, 50, 35010, 3732, 450, 51190, 89, 11, 21982, 33328, 2685, 2694, 15082, 220, 21, 15, 21807, 2816, 2085, 46668, 794, 713, 31151, 7219, 2030, 10207, 4865, 7714, 9421, 54649, 73455, 17739, 57803, 13, 506, 723, 12583, 18069, 36702, 11595, 11, 304, 69507, 2746, 6395, 13017, 64786, 19875, 97872, 11, 83281, 7357, 1692, 77, 676, 22385, 2030, 10928, 52159, 3591, 844, 129602, 7256, 11, 2746, 2746, 6395, 13017, 64786, 19875, 304, 71017, 566, 318, 17739, 23334, 30102, 2755, 59493, 56945, 11, 77158, 6772, 13785, 8187, 529, 13, 2139, 226, 40369, 9544, 5451, 38684, 49536, 11, 9820, 5166, 18078, 1387, 13446, 3591, 267, 74227, 324, 28698, 11, 7180, 2746, 9740, 81377, 2185, 38805, 73455, 32708, 2009, 4578, 927, 321, 30353, 126, 241, 11, 773, 51190, 89, 13, 42161, 1527, 86, 288, 19875, 40153, 1960, 2048, 1528, 15690, 10358, 2071, 2030, 56945, 9089, 10928, 4368, 1323, 27918, 624, 126, 226, 641, 44160, 88768, 465, 72597, 19875, 20404, 69701, 47827, 2746, 15928, 24803, 4443, 5183, 2712, 11, 6250, 69046, 2185, 13785, 37060, 13, 55448, 9911, 12643, 88768, 465, 11, 85227, 94213, 6772, 88768, 465, 11, 10712, 12304, 11, 2746, 12412, 2444, 5679, 13, 8408, 21766, 65, 94858, 34711, 2030, 21766, 65, 94858, 17630, 5451, 54649, 70165, 74, 2944, 11, 3360, 8801, 46728, 2185, 11, 3680, 83543, 17312, 2055, 59380, 3004, 28064, 2185, 53797, 387, 343, 295, 56364, 11, 14948, 2746, 1774, 76971, 10559, 647, 1087, 6670, 11, 6616, 37210, 355, 267, 48435, 7180, 20404, 1241, 22385, 2030, 2746, 142832, 68947, 6433, 1527, 1580, 11595, 2030, 647, 1087, 1775, 9176, 7997, 38130, 5676, 2694, 91970, 78571, 27277, 34368, 97035, 37633, 47650, 126, 241, 11, 773, 7937, 5016, 613, 11, 647, 1087, 11042, 1659, 2694, 5363, 72, 23647, 15082, 732, 4697, 15843, 258, 35363, 15843, 265, 285, 2030, 34542, 2055, 59380, 86, 79748, 1536, 3647, 331, 56400, 408, 198, 6639, 22837, 510, 9991, 198, 3004, 331, 9692, 198, 16208, 198, 665, 22837, 198, 15560, 198, 14679, 77, 198, 36, 198, 3262, 1859, 70667, 198, 54370, 45288, 291, 12643, 198, 57, 355, 36772, 39264, 1531, 70336, 481, 86913, 77094, 291, 304, 2694, 62724, 4894, 74909, 30632, 56027, 9338, 4592, 35, 198, 57, 324, 46307, 12, 4592, 35, 39264, 1531, 12412, 510, 71, 1268, 30632, 56027, 9338, 4592, 35, 472, 38809, 198, 74909, 30632, 56027, 9338, 3533, 9913, 1579, 54834, 14410, 32030, 4894, 42074, 22163, 331, 1944, 71968, 2746, 84506, 36964, 2694, 62724, 5699, 45258, 30, 15687, 22163, 331, 1944, 53835, 11, 572, 458, 21185, 850, 17739, 362, 2024, 2305, 28421, 71968, 17058, 3660, 19972, 4087, 68412, 30, 45481, 137845, 25, 34711, 2030, 7659, 1268, 10938, 66238, 16111, 2340, 9913, 11496, 13279, 6975, 304, 2694, 137194, 267, 6712, 13, 37210, 404, 65, 28853, 13279, 6975, 21506, 73061, 23873, 15843, 258, 35363, 31, 90763, 2285, 0, 151643, 17360, 4116, 54459, 9820, 11615, 84409, 11, 2746, 12962, 55499, 3371, 43908, 4079, 86, 5186, 67, 6433, 16642, 79303, 7364, 25180, 6772, 458, 11, 2714, 84952, 1859, 7219, 79913, 14785, 1147, 360, 27277, 11, 14948, 2694, 330, 39, 615, 2694, 431, 17707, 1, 502, 336, 1127, 17312, 6250, 30155, 2185, 10890, 2660, 13, 19000, 68573, 77556, 773, 11, 13368, 22075, 2694, 10304, 40460, 732, 74074, 14047, 42153, 2717, 58881, 13, 42616, 16111, 12304, 75130, 11, 8896, 2746, 425, 823, 5186, 13920, 2185, 2694, 512, 258, 86, 2844, 97920, 17739, 11615, 84409, 47332, 1536, 896, 457, 55248, 18520, 69, 610, 53899, 3145, 458, 4370, 46646, 11, 10928, 22075, 2694, 48158, 4531, 17739, 41083, 54049, 939, 330, 39, 615, 77, 2694, 431, 17707, 1, 6538, 39804, 35669, 59421, 2694, 1863, 332, 54913, 1640, 74074, 72170, 30288, 344, 5436, 79, 615, 83, 30179, 68573, 13, 48682, 70, 20005, 425, 14412, 34271, 2185, 25, 758, 36744, 5699, 2305, 65, 6433, 25714, 72101, 58065, 8495, 12412, 8793, 15244, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 88718, 87262, 16123, 11, 2030, 6616, 18069, 89, 7256, 11, 20624, 268, 9089, 55928, 54548, 19349, 15719, 11, 5999, 11, 14948, 24440, 794, 321, 4368, 35363, 471, 343, 19349, 14821, 13, 9236, 5999, 10928, 85227, 94213, 6772, 11, 14948, 1531, 773, 85117, 70511, 6538, 50041, 38684, 5999, 11, 14948, 1531, 140527, 11129, 13977, 5999, 13, 619, 7294, 14821, 6616, 141257, 37419, 489, 8535, 624, 18175, 74519, 91450, 96115, 15719, 2714, 20491, 359, 6772, 9421, 65423, 13, 9236, 5999, 25531, 39771, 264, 1362, 541, 408, 458, 24440, 11, 4622, 261, 41210, 52287, 72170, 709, 627, 665, 2823, 482, 11, 19104, 1531, 41762, 42469, 34749, 4928, 268, 19349, 11, 34749, 14101, 546, 12385, 35323, 2746, 5166, 11, 13368, 9911, 39264, 13, 8495, 14821, 34542, 13279, 3371, 51019, 3821, 15795, 1527, 139376, 268, 34542, 304, 3371, 68667, 268, 26349, 307, 932, 264, 1362, 57301, 481, 8793, 11, 14948, 3845, 9911, 52434, 85227, 94213, 6772, 35103, 289, 864, 13, 43997, 9911, 7906, 723, 64, 32030, 11, 14821, 24396, 524, 3226, 2305, 81548, 43105, 9443, 4370, 2030, 1531, 14821, 54548, 8793, 18520, 8688, 896, 73276, 624, 18175, 74519, 91450, 96115, 15719, 2714, 20491, 359, 6772, 289, 11042, 343, 19349, 2030, 41852, 60322, 11, 13368, 9911, 6616, 4371, 6276, 11, 6616, 9911, 304, 49765, 465, 55167, 458, 2694, 57093, 35363, 48015, 452, 1960, 451, 21519, 6899, 87895, 54649, 386, 6207, 85623, 5178, 11, 60021, 383, 12755, 13, 21890, 20096, 14821, 75130, 11, 1508, 9911, 5699, 261, 11687, 12385, 8793, 11, 51939, 1508, 1126, 17958, 6616, 4371, 6276, 17859, 24131, 645, 426, 11, 86899, 1531, 10928, 8793, 9421, 13368, 304, 3371, 444, 2305, 5183, 13, 9236, 67594, 2746, 13452, 1371, 12385, 2694, 794, 321, 12385, 2746, 350, 1862, 1777, 19349, 11, 14948, 1531, 6538, 13906, 811, 14047, 13012, 268, 633, 56364, 6395, 19349, 70251, 396, 11, 19104, 1531, 14821, 87262, 45702, 4368, 35363, 471, 343, 19349, 624, 3636, 52549, 2746, 74519, 91450, 7276, 956, 84, 19658, 32454, 481, 9911, 10246, 12755, 1531, 11, 19104, 9911, 8896, 11386, 383, 34553, 2030, 2030, 2574, 3612, 287, 20005, 14356, 1579, 13, 1674, 642, 11, 572, 304, 17443, 85960, 8675, 69876, 14821, 11, 14821, 7219, 54649, 81828, 5679, 73086, 64857, 13, 1674, 642, 11, 572, 9820, 77775, 1330, 20542, 143037, 11, 14821, 52716, 17209, 268, 17630, 13, 2055, 4878, 9911, 14588, 12, 39173, 12, 3636, 13785, 2746, 58154, 143492, 94505, 89, 68989, 13, 468, 16470, 11, 1531, 14821, 25531, 17790, 17859, 7219, 24440, 9421, 65423, 13, 8495, 8896, 9820, 296, 21558, 301, 960, 9305, 2305, 1923, 2185, 458, 26349, 307, 2185, 624, 30124, 23348, 22385, 28883, 39013, 355, 309, 26612, 5999, 9820, 61550, 54649, 50441, 1338, 268, 13, 8495, 14821, 12222, 37108, 4059, 1579, 3987, 268, 51134, 11, 2746, 7364, 15359, 529, 31357, 22325, 18729, 33827, 17630, 13, 23980, 5699, 134291, 5840, 34749, 74857, 142432, 4368, 11, 773, 14948, 9911, 83835, 71765, 458, 42477, 268, 15719, 11, 24440, 28724, 288, 6395, 37896, 13, 8495, 14821, 57465, 550, 78, 4368, 66723, 288, 5665, 23318, 458, 39449, 383, 47030, 96922, 17630, 11, 2030, 6616, 39264, 5451, 3371, 26875, 57301, 2030, 2429, 22087, 80885, 4368, 1923, 11, 2030, 2746, 38684, 9919, 28324, 11, 14948, 9911, 8793, 38805, 6538, 31008, 44966, 5999, 624, 641, 2694, 62467, 12583, 74519, 4195, 42524, 2746, 32050, 52662, 2603, 17739, 939, 35232, 54942, 4909, 11, 2030, 9911, 12583, 1147, 26862, 6772, 357, 337, 89, 74054, 13, 8495, 12304, 70251, 16676, 6616, 55397, 7219, 2694, 9740, 450, 5451, 2429, 282, 52340, 6591, 50958, 81287, 939, 69284, 1609, 268, 6538, 17443, 38684, 28835, 268, 6395, 81314, 53776, 11, 2030, 53797, 93096, 10928, 44367, 50441, 1338, 5451, 17582, 13847, 268, 2030, 14562, 13, 47436, 4368, 6433, 74565, 91014, 11687, 9089, 2746, 74519, 91450, 96115, 1079, 58009, 69, 2030, 40416, 14047, 49633, 896, 23129, 7219, 2746, 16049, 331, 20005, 40018, 1528, 13, 43997, 9911, 87262, 89463, 1528, 95817, 75315, 11, 76171, 13368, 85117, 9911, 435, 11855, 5999, 11, 14821, 9911, 9911, 54064, 1013, 22837, 624, 51, 4640, 89, 46668, 55857, 21558, 4730, 11, 6538, 17443, 38684, 44340, 6395, 19349, 11, 5999, 2746, 74519, 91450, 96115, 77634, 6772, 2030, 20153, 585, 8935, 265, 661, 343, 2030, 14821, 4622, 261, 41210, 8793, 16034, 70944, 69, 3893, 42316, 11, 1531, 42137, 51939, 11, 1531, 5999, 9820, 312, 54327, 331, 2649, 1952, 328, 1777, 13, 8495, 14821, 2770, 19358, 6772, 5451, 52716, 3893, 14348, 33748, 7577, 22157, 384, 74122, 28421, 62459, 11, 1508, 1126, 17958, 9911, 1531, 93395, 10712, 15462, 773, 59380, 268, 1527, 447, 10712, 9820, 60074, 2305, 602, 7522, 73, 351, 67, 82757, 7997, 83, 13, 8495, 14821, 39771, 51134, 11, 6616, 24440, 1640, 362, 4733, 282, 78120, 11, 19104, 11316, 9820, 468, 766, 50528, 82, 64646, 8896, 13, 8495, 15719, 8793, 1656, 2305, 267, 17917, 12643, 11, 4443, 6395, 2739, 10661, 17454, 11, 75590, 22075, 1531, 7180, 15462, 93615, 83126, 377, 5999, 11, 12385, 10928, 22075, 1531, 8793, 773, 5999, 13, 8495, 3371, 5840, 458, 2746, 42786, 11, 87862, 55397, 6538, 36744, 6250, 4554, 1704, 668, 71, 25423, 83, 624, 18175, 74519, 91450, 276, 7276, 956, 84, 4878, 3089, 544, 3362, 355, 1489, 2391, 709, 11, 595, 10523, 65501, 92610, 3145, 11595, 320, 674, 1126, 17958, 34749, 33328, 54377, 6538, 730, 76431, 4368, 58009, 69, 2832, 66897, 1174, 303, 288, 23388, 89, 529, 19349, 67594, 701, 2030, 52287, 3089, 1370, 1268, 140299, 19767, 3371, 5540, 12385, 2746, 37423, 20542, 13, 8495, 70251, 396, 304, 2694, 97504, 650, 89, 355, 36772, 71, 25423, 408, 6395, 19349, 11, 19104, 24929, 10489, 65, 84384, 13920, 9911, 12304, 11, 64289, 9911, 9089, 2739, 11567, 12755, 11, 4622, 261, 41210, 5451, 77016, 336, 9421, 2429, 2656, 268, 49753, 13, 11401, 66360, 51873, 9911, 9089, 7219, 17058, 9965, 7276, 2479, 19625, 388, 309, 1014, 2185, 12385, 17058, 47944, 6222, 19099, 1280, 11250, 15938, 13, 36574, 22075, 9089, 2746, 74519, 91450, 96115, 54459, 2739, 11567, 12755, 8896, 11, 27298, 1531, 48803, 49192, 19358, 18520, 13, 8495, 15719, 18520, 485, 33312, 20512, 331, 11595, 76120, 7964, 11, 19104, 9911, 14821, 25531, 5451, 52716, 1374, 7276, 265, 22157, 387, 24716, 1241, 295, 19349, 11, 2030, 9911, 12643, 11316, 38805, 13785, 9911, 51721, 28129, 42789, 13, 43997, 2694, 51310, 51528, 11, 14821, 9911, 289, 15113, 90556, 11, 76171, 572 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1494, 17029, 13, 38472, 1839, 29937, 39449, 834, 17917, 53797, 11, 10928, 7906, 52662, 49662, 939, 2656, 268, 49753, 288, 6395, 19349, 11, 572, 9820, 6454, 1952, 71, 2660, 30512, 65, 84384, 331, 2185, 7180, 15462, 595, 2382, 648, 266, 1524, 268, 21491, 65, 10573, 261, 19349, 15719, 624, 53750, 323, 12917, 88049, 2986, 28324, 11, 63165, 9400, 68, 12385, 28514, 424, 11, 14821, 1079, 282, 21519, 343, 15795, 19349, 11, 5451, 36744, 50750, 15314, 6395, 87943, 449, 16030, 13, 36574, 2746, 85711, 22163, 4370, 9089, 7180, 3371, 259, 4738, 268, 64477, 89289, 2694, 74519, 91450, 96115, 10712, 6395, 71935, 2714, 896, 23129, 11, 2030, 28514, 424, 14821, 5436, 44977, 11, 9911, 592, 78881, 91967, 6395, 37896, 13, 9236, 15719, 19349, 11, 14948, 36748, 11, 24440, 479, 19981, 2986, 28324, 11, 2746, 28822, 38934, 7219, 135972, 60729, 13, 1967, 436, 467, 13977, 2660, 2030, 133661, 89, 2391, 70, 50499, 14821, 2746, 773, 59380, 26956, 355, 5342, 74519, 91450, 7276, 956, 84, 282, 52340, 258, 16030, 11, 66983, 9911, 52716, 8372, 17739, 84579, 27418, 71168, 2030, 264, 13920, 295, 624, 43, 27277, 8495, 6975, 36108, 6538, 1527, 42477, 458, 72734, 58158, 13, 12741, 74519, 91450, 5999, 12788, 20096, 288, 73794, 73, 13884, 11, 2030, 1531, 68573, 4368, 91265, 11, 8725, 77868, 359, 2636, 5676, 13, 18069, 30058, 261, 2030, 4368, 1230, 138644, 7272, 11, 31008, 29860, 5999, 1850, 265, 12755, 11, 2746, 44966, 6395, 17443, 293, 433, 17392, 44340, 7180, 2746, 14410, 309, 665, 23276, 331, 22385, 6395, 37896, 13, 23980, 261, 6662, 815, 325, 38453, 20175, 4878, 28789, 48158, 12475, 25651, 5451, 2429, 29860, 39771, 13785, 86, 41203, 343, 408, 54395, 1528, 16676, 11, 19104, 2714, 5999, 55813, 4368, 9316, 645, 11, 22075, 1531, 4443, 64477, 89289, 2030, 38383, 13804, 268, 39264, 624, 22171, 74519, 91450, 5251, 46745, 5999, 10928, 2714, 33339, 16053, 2030, 6238, 613, 2030, 4446, 83, 2714, 20491, 359, 20005, 2030, 595, 86366, 89452, 11595, 305, 648, 269, 11, 2746, 12304, 53797, 1850, 318, 2501, 12583, 11, 2746, 44966, 12385, 1147, 10110, 4979, 38897, 53555, 468, 60273, 74565, 6395, 2739, 57396, 77, 13, 1333, 6712, 5840, 41658, 11, 3738, 275, 13977, 2030, 11129, 13977, 11, 5999, 4368, 3582, 32708, 74519, 91450, 5251, 1020, 4622, 261, 41210, 4368, 69987, 650, 39537, 7459, 613, 11, 5451, 17443, 14101, 1387, 939, 71467, 19358, 1960, 467, 79748, 9254, 13785, 40662, 13, 43997, 3845, 7219, 38897, 505, 37137, 5963, 7522, 80378, 42678, 3103, 89249, 13906, 61286, 41538, 77528, 11, 12643, 9911, 7219, 5419, 289, 70487, 11, 2030, 47553, 289, 864, 3845, 28853, 13279, 59228, 773, 59380, 268, 46793, 268, 26252, 3903, 268, 624, 42074, 65836, 15462, 74519, 91450, 8793, 48376, 1440, 5679, 481, 2714, 5699, 14033, 11687, 38897, 7577, 72, 22385, 13785, 35951, 13, 28379, 58442, 7577, 72, 22385, 12385, 77327, 58442, 3371, 58583, 0, 71474, 79192, 11, 2714, 5999, 4368, 74519, 91450, 11, 2694, 1032, 23129, 10246, 12755, 11, 38897, 33328, 11567, 1371, 12643, 20004, 1489, 2391, 709, 6395, 650, 37285, 2956, 24134, 21673, 11, 505, 354, 17739, 2030, 668, 709, 1937, 33370, 7107, 12543, 2185, 6860, 268, 19349, 11, 8793, 2746, 22539, 22157, 268, 61921, 2305, 17739, 66723, 471, 6433, 56795, 1440, 12385, 29618, 5197, 69, 15113, 2576, 331, 333, 2945, 3591, 11, 2746, 12304, 38684, 773, 25494, 22163, 4370, 13, 9740, 5999, 4368, 58534, 61286, 2015, 304, 55928, 472, 1330, 4865, 11, 48803, 1527, 71, 61673, 13, 86417, 12304, 74519, 615, 14456, 10246, 7964, 1032, 23129, 11, 19104, 38897, 23388, 72995, 8966, 5999, 650, 37285, 2956, 24134, 6772, 2030, 595, 1222, 344, 13, 9740, 5999, 773, 5436, 17029, 304, 3371, 467, 19981, 2694, 44966, 11, 14948, 3845, 2770, 43506, 267, 11, 14948, 2714, 304, 2694, 137900, 4116, 624, 45, 4865, 82, 458, 36744, 29860, 5999, 16540, 627, 380, 16053, 11, 6538, 53936, 22443, 261, 15422, 6395, 59228, 13225, 7253, 365, 58193, 6395, 72440, 65314, 267, 321, 13, 2363, 331, 14649, 73928, 77, 2305, 377, 343, 2030, 357, 324, 11, 5999, 2694, 73794, 140463, 1389, 4368, 18859, 288, 9919, 28324, 11, 2030, 2694, 74519, 91450, 17562, 14821, 35951, 19767, 21062, 45258, 11, 572, 2714, 14840, 6395, 72440, 25180, 268, 51292, 3161, 406, 13, 151643, 19462, 77, 36956, 2185, 760, 20404, 4865, 3563, 300, 440, 481, 5755, 220, 20, 198, 11395, 2090, 61221, 37108, 4059, 1579, 139349, 22385, 7405, 5239, 83234, 15897, 4757, 13143, 42068, 4757, 198, 80515, 47404, 97096, 29505, 4003, 268, 2030, 502, 11595, 386, 28658, 4160, 48842, 13785, 16377, 268, 2030, 16377, 138154, 2185, 17312, 90769, 11, 4443, 3371, 16377, 2468, 6395, 76120, 4865, 932, 2030, 3371, 794, 15252, 8400, 70, 8688, 1626, 380, 343, 6395, 40500, 6498, 932, 13, 1758, 1110, 2136, 1236, 483, 12, 2571, 61614, 2285, 14, 20, 20, 62, 46528, 54988, 2185, 2564, 198, 20, 8543, 68, 9740, 77, 36956, 2185, 384, 5058, 13, 760, 220, 20, 8543, 68, 9740, 77, 36956, 2185, 384, 5058, 13, 304, 63630, 2125, 268, 13, 41663, 79985, 2185, 6538, 576, 29203, 2030, 2340, 7184, 2694, 9740, 77, 36956, 2185, 14047, 3371, 434, 16074, 69, 8543, 268, 624, 91, 220, 20, 8543, 68, 9740, 77, 36956, 2185, 384, 5058, 13, 304, 63630, 2125, 268, 13, 41663, 79985, 2185, 6538, 576, 29203, 2030, 2340, 7184, 2694, 9740, 77, 36956, 2185, 14047, 3371, 434, 16074, 69, 8543, 268, 13, 1758, 1110, 2136, 833, 10316, 69, 28452, 68, 12, 46528, 54988, 2185, 90245, 2285, 5894, 2304, 4865, 668, 37060, 5451, 29149, 261, 9740, 77, 36956, 2185, 760, 89913, 2145, 9740, 77, 36956, 2185, 198, 54370, 29149, 261, 9740, 77, 36956, 2185, 2030, 5451, 39771, 18207, 5999, 1531, 50837, 11, 71935, 2030, 14047, 39416, 343, 668, 89, 359, 2636, 5676, 13, 1758, 1110, 2136, 13, 586, 29428, 16776, 905, 17763, 79, 28, 24, 21, 16, 198, 19462, 77, 36956, 2185, 760, 9812, 63555, 20404, 1241, 22385, 778, 1017, 198, 18175, 2926, 13, 73580, 12640, 54271, 79956, 68, 31477, 609, 3539, 13, 70087, 80129, 3818, 41488, 18520, 10712, 220, 17, 15, 45506, 54271, 79956, 74, 2855, 2554, 268, 7180, 98376, 12, 2030, 51743, 826, 288, 1241, 22385, 11, 29505, 14052, 20542, 11, 30512, 7725, 365, 4865, 11, 15098, 2375, 365, 4865, 11, 30585, 2030, 18207, 937, 16111, 12583, 35783, 31313, 7180, 20404, 1241, 22385, 11, 50943, 73607, 36614 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2030, 1967, 83214, 17246, 21519, 50499, 13, 1758, 1110, 2136, 1734, 1754, 613, 2285, 14, 46528, 54988, 2185, 2564, 198, 14873, 268, 6395, 17058, 14410, 22157, 9740, 77, 36956, 2185, 14047, 2694, 422, 10777, 13, 1758, 1110, 2136, 13, 46528, 54988, 28122, 10393, 12646, 14012, 2301, 2285, 14, 4188, 28865, 14, 46528, 54988, 2185, 2564, 198, 19462, 77, 36956, 2185, 1242, 54377, 1365, 294, 27097, 71, 2577, 665, 6250, 57396, 2185, 2694, 42678, 3103, 89249, 198, 19462, 77, 36956, 2185, 1242, 54377, 81831, 295, 11, 66653, 6395, 94655, 11, 9089, 66653, 6395, 91929, 21519, 1440, 10712, 96042, 13, 42616, 11, 6616, 75315, 9089, 732, 4929, 66075, 2694, 28831, 13, 8408, 29873, 1690, 2694, 3680, 25402, 1011, 331, 1111, 13, 1758, 1110, 2136, 950, 645, 38030, 25402, 1011, 331, 1111, 2285, 14, 46528, 54988, 2185, 14, 46528, 54988, 28122, 12, 372, 54377, 2564, 198, 44, 2305, 810, 9740, 77, 36956, 2185, 11331, 355, 9740, 77, 36956, 2185, 198, 74909, 75315, 883, 48842, 6395, 88687, 386, 2305, 810, 1644, 1960, 11, 1640, 9433, 70439, 13452, 29307, 2305, 810, 39307, 41983, 91896, 56580, 2030, 41983, 386, 2305, 810, 77070, 1758, 1110, 2136, 50602, 3667, 2733, 2285, 14, 1728, 355, 2733, 14, 46528, 54988, 2185, 23284, 198, 19765, 9740, 77, 36956, 2185, 1365, 18069, 77742, 2694, 1581, 60135, 20404, 69701, 7180, 9740, 77, 36956, 2185, 384, 5058, 12832, 35, 10777, 8, 1758, 1110, 2136, 87340, 12, 46528, 54988, 2185, 2285, 5894, 79, 39, 30846, 760, 14662, 10559, 9740, 77, 36956, 2185, 760, 93403, 2305, 8801, 2185, 939, 730, 9416, 31290, 198, 52491, 1902, 129076, 529, 30, 3240, 27918, 8495, 70836, 328, 2305, 552, 7671, 300, 268, 11278, 64, 1116, 3145, 26252, 1640, 479, 54371, 37285, 4865, 1365, 5451, 17058, 14410, 22157, 11, 8037, 7522, 9740, 77, 36956, 2185, 13, 47436, 6975, 95402, 8495, 13368, 0, 1758, 1110, 2136, 39078, 62737, 2285, 14, 151643, 53, 13845, 5679, 609, 21237, 285, 16030, 481, 17152, 362, 45699, 83126, 377, 423, 7053, 198, 1143, 1129, 268, 17312, 11002, 93590, 198, 48047, 85970, 6975, 10712, 730, 494, 843, 70, 290, 362, 45699, 54064, 732, 467, 7066, 81936, 40499, 2694, 17152, 268, 52354, 16030, 13, 422, 39129, 142037, 5841, 64321, 2576, 12536, 273, 730, 76431, 30386, 66362, 2030, 92283, 6566, 440, 624, 54370, 66482, 92283, 58864, 423, 61194, 3145, 11595, 11, 23388, 802, 268, 5679, 2030, 5547, 26770, 66238, 16111, 3371, 730, 76431, 28815, 21211, 2694, 17152, 18926, 24716, 645, 10991, 92918, 17312, 21237, 285, 36616, 624, 32, 13920, 619, 413, 5046, 68, 5547, 26770, 17312, 21237, 285, 36616, 6538, 730, 76431, 12, 2030, 730, 1222, 344, 21062, 2649, 19875, 481, 304, 362, 45699, 2030, 468, 454, 268, 4894, 6954, 89, 58864, 423, 61194, 3145, 11595, 7180, 730, 76431, 12, 2030, 730, 1222, 344, 21062, 2649, 10938, 39307, 87943, 1574, 730, 76431, 90527, 24803, 9, 34711, 304, 2694, 17152, 13, 151643, 12444, 2030, 26109, 70984, 97973, 2746, 595, 3571, 363, 36956, 2185, 25531, 2818, 65, 465, 2030, 16111, 13785, 896, 23129, 47827, 92579, 3376, 14124, 6032, 71, 758, 80260, 21673, 7377, 268, 6395, 1147, 58193, 16887, 17443, 82942, 2305, 377, 140463, 1389, 5451, 6502, 69, 3122, 27391, 7001, 17739, 35515, 1268, 343, 51707, 1365, 9421, 28852, 97682, 19767, 2746, 55486, 36616, 5999, 40870, 83630, 6772, 139554, 11, 10712, 1531, 883, 41658, 50837, 68573, 30094, 458, 65, 33254, 11, 2746, 330, 77, 2252, 9425, 8819, 1, 16034, 4139, 32175, 6331, 268, 624, 65835, 16111, 9911, 5388, 7253, 268, 2030, 773, 2746, 6366, 71211, 13, 467, 324, 5183, 25531, 220, 16, 15, 15, 7219, 1147, 48418, 11687, 77556, 7219, 32780, 1371, 582, 1064, 458, 5342, 40188, 13, 1527, 51290, 752, 380, 724, 10928, 18520, 485, 53308, 6395, 3624, 268, 13, 9236, 1308, 4979, 724, 220, 20, 78315, 4942, 26956, 529, 11595, 17630, 8793, 3893, 69046, 295, 20428, 47436, 68042, 2896, 74, 932, 2030, 1868, 12620, 14033, 5679, 63027, 9964, 72, 613, 50837, 13, 14356, 92579, 16034, 28605, 220, 15, 13, 8907, 2391, 14553, 34966, 2185, 2694, 16829, 6395, 10207, 2391, 14553, 4865, 6433, 13, 608, 389, 301, 1612, 1365, 4937, 220, 17, 502, 1466, 265, 80129, 75, 28122, 29413, 11, 2030, 25494, 4443, 42477, 40334, 13, 12354, 374, 8433, 311, 3538, 13, 60082, 91440, 17630, 16111, 56381, 305, 1847, 77, 11595, 7180, 49672, 7160, 13, 51310, 23911, 1455, 62118, 2030, 15462, 70984, 21062, 75, 1854, 15365, 362, 8356, 4379, 9289, 311, 86037, 13, 1345, 4079, 342, 4671, 268, 22539, 6130, 18859, 58158, 12643, 13, 61197, 2694, 264, 16, 7963, 22097, 11, 22539, 36956, 273, 380, 295, 13, 5906, 998, 11772, 10246, 304, 279, 1850, 13, 1345, 4079, 93615, 2030, 384, 4079, 21673, 855, 285, 0, 2256, 2030, 63162, 1909, 13, 13127, 11673, 3162, 35740, 92501, 143037, 3371, 13422, 278, 1648, 17873, 13, 467, 324, 5183, 2746, 8151, 610, 69, 79985, 2185, 2030, 87791, 220, 15, 11, 20, 52434, 68336, 2863, 723, 624, 23619, 489, 2391, 3821, 932, 9820, 62002, 3647, 4865, 799, 77131, 2185, 8793, 9421, 11, 19104, 6616, 4179, 89, 58864, 7219, 47631, 3714, 63172, 274, 59, 993, 19392, 1565, 1016, 59, 650, 66494, 347, 1565, 77, 55214, 477, 12508, 409, 4797, 58267, 25437, 332, 59, 17299, 1187, 76898, 685, 4586, 59, 438, 454, 956, 502, 509, 31648, 1527, 28439, 8660, 315, 1246, 17873, 320, 437, 1008, 43974, 8, 14268, 54548, 6616, 2694, 1274, 4101, 7219, 26083, 32030, 3091, 267, 3845, 72701, 607, 3605, 43297, 7219, 81936, 21176, 65836, 624, 22171, 2656, 268, 91245, 268, 384, 60273, 939, 32857, 11, 4443, 26429, 87969, 2391, 6395, 63318, 12495, 65132, 4953, 2746, 3647, 424, 817, 384, 11468, 25, 26769, 2400, 72, 408, 11595, 74453, 9911, 71017, 83034, 277, 3637, 11544, 16887, 289, 865, 3818, 2746, 88628, 11595, 143437, 7377, 9179, 49662, 6538, 220, 16, 15, 1365, 220, 16, 18, 2030, 220, 17, 15, 35758, 1960, 220, 20, 15, 2220, 45699, 939, 88748, 20175, 288, 29695, 437, 3818, 12643, 624, 46, 1107, 4772, 268, 91440, 3091, 267, 11, 12583, 9911, 304, 220, 17, 33570, 2752, 7219, 455, 68, 2963, 20004, 37285, 83049, 8896, 11, 35141, 1531, 9089, 28789, 2694, 29413, 6433, 357, 441, 1726, 285, 6538, 220, 15, 11, 17, 8372, 458, 25006, 1528, 17944, 3845, 87862, 476, 24307, 77919, 15269, 49494, 5016, 263, 4368, 348, 16568, 321 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 21982, 22316, 47827, 2746, 84301, 13229, 13820, 2319, 13305, 416, 32857, 18859, 48414, 85970, 624, 55, 75, 10351, 15120, 17606, 1565, 1307, 265, 359, 59, 6871, 650, 19547, 68886, 409, 3745, 68, 1527, 9820, 2818, 65, 7256, 62174, 5436, 54081, 65132, 4953, 35951, 17859, 11, 52507, 10638, 82207, 883, 15719, 9089, 2746, 537, 36616, 1147, 48418, 11687, 7219, 6616, 595, 9935, 939, 595, 22157, 458, 320, 89, 35783, 8652, 6616, 83880, 5999, 92579, 3376, 14124, 6032, 71, 624, 78522, 1268, 7180, 72701, 38574, 273, 51327, 52764, 82017, 11, 4443, 34234, 6395, 2714, 6566, 7964, 31645, 264, 6366, 21828, 264, 2504, 15098, 268, 7219, 2694, 45885, 65, 3454, 632, 17873, 468, 8719, 61897, 37633, 1531, 3318, 32997, 932, 11, 11673, 2220, 21519, 343, 51707, 6538, 11773, 2714, 6566, 7964, 11, 4443, 732, 5699, 4659, 76, 15795, 282, 5054, 2030, 9089, 139906, 1424, 3818, 624, 15220, 8768, 380, 374, 279, 501, 6623, 9149, 14975, 916, 803, 1091, 220, 24, 15, 817, 2889, 304, 81910, 84093, 380, 16053, 17837, 97682, 1599, 0, 508, 1732, 1076, 60, 9421, 799, 27431, 5999, 6616, 2746, 3594, 440, 6538, 220, 16, 1752, 17873, 274, 897, 1035, 387, 38313, 311, 86776, 279, 16953, 96681, 304, 14410, 649, 2305, 7522, 12385, 304, 69659, 6395, 357, 3262, 17454, 12385, 7219, 89, 392, 365, 21176, 71915, 25, 83910, 4810, 88519, 17, 87, 3669, 220, 16, 23, 481, 7219, 54377, 2030, 18003, 25, 2746, 28822, 38434, 7180, 84522, 2030, 13785, 49672, 4489, 73910, 1268, 261, 17630, 15462, 67703, 293, 11706, 4443, 46668, 220, 16, 86037, 284, 220, 16, 22, 22, 15, 24, 467, 36956, 11595, 3647, 65845, 88287, 66316, 10638, 1615, 266, 6772, 15462, 77414, 74565, 55448, 21506, 25402, 76, 11595, 11, 2746, 9089, 67952, 595, 2863, 723, 624, 50, 1777, 63940, 4593, 19104, 13368, 10928, 94572, 94788, 811, 289, 36956, 2185, 2154, 73609, 6395, 2714, 5205, 268, 65010, 285, 20175, 5451, 17239, 59372, 2739, 71, 29802, 1517, 285, 11, 294, 71915, 14665, 6089, 3950, 3669, 8408, 326, 19358, 68, 304, 3371, 52967, 10928, 304, 2694, 1217, 301, 7219, 93434, 2694, 678, 64649, 16676, 25620, 2305, 44444, 2721, 287, 11595, 320, 55632, 600, 8, 84132, 7522, 4223, 25061, 22539, 34711, 10928, 4368, 69987, 1353, 276, 624, 19462, 6566, 7964, 12385, 304, 3371, 37801, 524, 33370, 69791, 4772, 268, 467, 11706, 26252, 2770, 14033, 1960, 11, 20048, 458, 273, 1389, 817, 272, 6902, 5999, 9824, 1579, 460, 28064, 2030, 5763, 579, 1536, 19000, 3078, 263, 635, 32505, 312, 2125, 295, 5006, 81591, 668, 8495, 67382, 41852, 30875, 343, 11595, 2030, 2739, 359, 265, 258, 343, 11595, 2694, 50706, 624, 28684, 17790, 4368, 7272, 1728, 26824, 66723, 11, 22539, 93232, 668, 72101, 265, 55339, 82745, 267, 17790, 25531, 6395, 28605, 64560, 79956, 458, 139376, 6772, 17058, 1274, 44914, 21673, 282, 1466, 3342, 5451, 17443, 28620, 3630, 83598, 2746, 26956, 791, 28122, 36702, 2185, 12643, 19000, 41919, 2694, 9979, 7070, 63473, 8398, 11, 4443, 11211, 6395, 51134, 12385, 2739, 4554, 28421, 624, 43844, 29609, 49503, 17312, 9421, 46014, 82, 83301, 330, 45702, 68312, 17029, 2746, 4368, 46728, 2185, 817, 6073, 48985, 73869, 2185, 11, 76720, 1842, 272, 1404, 64, 7209, 7627, 389, 59366, 11673, 0, 435, 8339, 12203, 22, 82, 22075, 9911, 4582, 16030, 85970, 2030, 2816, 2085, 9774, 75562, 12646, 263, 74, 951, 268, 435, 32709, 17907, 220, 20, 23, 22, 15, 4116, 3739, 1127, 25861, 1850, 318, 2501, 48803, 66723, 423, 8579, 798, 9544, 25, 458, 52151, 13029, 3433, 27726, 10638, 19104, 7219, 41983, 59437, 2305, 71723, 2499, 2660, 2694, 17672, 8684, 624, 19957, 60021, 7553, 17029, 2030, 17760, 2574, 9820, 59801, 2956, 55499, 4601, 804, 7698, 7219, 896, 380, 13, 358, 13242, 1365, 31734, 5771, 53231, 304, 279, 4004, 315, 279, 1879, 13, 52876, 6291, 13089, 20527, 419, 2041, 894, 9162, 13, 1205, 321, 9911, 220, 17, 19, 71, 856, 220, 22, 67, 2746, 23738, 1528, 13785, 12743, 645, 4370, 13, 42161, 304, 17058, 67519, 21673, 27599, 5197, 603, 13, 3197, 12094, 911, 17944, 323, 4344, 279, 906, 691, 8527, 13, 5016, 28658, 11687, 3371, 68336, 129076, 802, 6051, 17029, 11, 14948, 9911, 12222, 7219, 17443, 1013, 7733, 268, 1868, 12620, 20175, 13, 3089, 9151, 9911, 14840, 6395, 220, 20, 15, 15, 12984, 548, 66897, 645, 7180, 9820, 650, 2986, 6623, 13, 59490, 304, 3371, 66968, 7578, 89, 624, 83910, 14409, 32488, 17873, 36408, 15113, 28122, 652, 4865, 17873, 2714, 77131, 2185, 35323, 17873, 5175, 817, 2086, 29952, 17873, 5175, 312, 85577, 17873, 304, 92516, 5777, 17873, 304, 67793, 9421, 89, 58193, 17873, 1868, 12620, 20175, 29695, 473, 83, 17873, 11673, 29952, 24538, 17873, 11673, 37896, 17873, 11673, 8016, 480, 17873, 67793, 4559, 17873, 13312, 582, 14398, 365, 269, 30353, 17873, 4087, 8801, 261, 77131, 2185, 17873, 88628, 2185, 8793, 1850, 14033, 17917, 17873, 88628, 2185, 2739, 8400, 4370, 57002, 34368, 15671, 57002, 855, 285, 220, 17, 15, 15, 24, 2699, 34537, 36408, 74374, 293, 1442, 37539, 906, 23268, 151643, 12992, 5016, 27105, 7997, 21062, 332, 23815, 23162, 198, 30124, 27105, 7997, 21062, 332, 23815, 23162, 1365, 2009, 1049, 5016, 32997, 28789, 5016, 27105, 26824, 198, 32617, 5016, 27105, 26824, 5999, 4368, 647, 1775, 524, 11, 2694, 47143, 41488, 18520, 17392, 37419, 71, 1241, 50958, 3000, 17029, 2030, 13906, 60297, 304, 2694, 6481, 268, 17210, 461, 365, 3818, 15462, 305, 26440, 794, 15671, 54594, 9057, 11042, 83, 13, 468, 6308, 6538, 8536, 65078, 96373, 11, 50232, 1440, 48614, 4892, 25392, 26769, 57803, 548, 2305, 89, 1064, 9421, 13, 78021, 8793, 25531, 15719, 6616, 5016, 27105, 26824, 6538, 2694, 19868, 87895, 13785, 16687, 5676, 12643, 11, 13368, 387, 285, 2493, 2010, 41210, 28789, 67775, 4223, 24343, 2863, 11, 23738, 2746, 794, 16722, 140463, 1389, 296, 632, 258, 8199, 47708, 27105, 7997, 83, 12643, 47827, 13, 55448, 13279, 2694, 40987, 81, 423, 1937, 2185, 35141, 17790, 25531, 2694, 23276, 331, 10613, 624, 39726, 27313, 81331, 12583, 72170, 6616, 88937, 65, 538, 46745, 27105, 26824, 2030, 6616, 9460, 538, 46745, 27105, 26824, 5451, 17058, 20854, 1489, 309, 2660, 13, 47436, 69791, 6730, 268, 5999, 74303, 87818, 23089, 307, 2185, 42068, 37633, 11, 51939, 66796, 69, 36956, 6772, 5999, 6616, 5016, 27105, 26824, 8793, 13, 33328, 60297, 2746, 4928, 268, 20048, 35515, 485, 5016, 2305, 5183, 19767, 6616, 5876, 2816 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 65501, 88937, 74565, 376, 8535, 13, 75291, 261, 12583, 2341, 8345, 6712, 74303, 87818, 6072, 2305, 799, 308, 44226, 343, 11, 2746, 10928, 304, 15806, 5676, 2739, 59908, 295, 19349, 20048, 13, 32521, 2574, 8896, 2694, 5016, 27105, 52662, 97144, 472, 90360, 83423, 2030, 15719, 9089, 773, 70336, 7219, 38897, 57803, 16540, 37137, 7253, 268, 624, 65835, 13279, 3371, 5016, 27105, 7997, 21062, 32997, 82, 3048, 932, 17630, 2746, 74303, 87818, 6072, 2305, 799, 32780, 7964, 20317, 268, 13, 758, 2694, 97504, 5999, 7180, 2746, 8280, 2305, 799, 2746, 20317, 5190, 220, 16, 21, 24, 65733, 13, 54068, 1217, 3818, 2746, 12339, 10561, 13256, 2694, 8280, 2305, 799, 11, 58319, 1531, 6538, 220, 17, 14840, 220, 16, 21, 27298, 13, 8280, 2305, 799, 2694, 27941, 13256, 220, 17, 14840, 220, 23, 12583, 13279, 2429, 9460, 538, 46745, 27105, 26824, 42068, 37633, 13, 2823, 318, 88937, 65, 538, 46745, 27105, 26824, 47827, 8280, 2305, 799, 668, 2694, 27941, 13256, 220, 23, 74191, 12643, 11, 2994, 6616, 88937, 97168, 44275, 24245, 1524, 5999, 10712, 13279, 2694, 20854, 1489, 309, 2660, 13, 55448, 2746, 20317, 268, 5190, 220, 16, 22, 15, 2030, 5190, 220, 16, 22, 16, 12583, 4845, 68, 6128, 309, 11, 2994, 8495, 2746, 12339, 54422, 268, 7180, 29036, 12, 2030, 758, 1626, 277, 354, 495, 16722, 2185, 7465, 16030, 13, 151643, 20903, 8801, 261, 77131, 2185, 730, 3571, 363, 36956, 2185, 1527, 55754, 760, 730, 3571, 363, 36956, 2185, 4116, 372, 30, 481, 28008, 15623, 68156, 198, 18175, 82745, 2185, 3563, 95283, 12583, 7219, 2429, 3457, 3591, 98317, 84911, 25423, 6772, 2030, 12643, 12412, 10928, 29695, 437, 3818, 11, 26769, 14047, 89005, 502, 798, 42885, 12, 28256, 37369, 83380, 65, 51865, 13, 36574, 384, 4079, 6772, 11, 23738, 595, 2863, 723, 883, 17873, 1079, 342, 59391, 343, 15795, 41762, 42469, 11806, 65, 7256, 5166, 2030, 1205, 1064, 13, 425, 24387, 84522, 3887, 12412, 15719, 883, 220, 20, 15, 4, 511, 1543, 730, 3571, 1961, 7019, 1368, 259, 14033, 6433, 11, 220, 24, 42786, 8793, 81825, 462, 379, 6027, 300, 467, 13820, 26956, 21176, 2030, 97341, 1117, 275, 343, 37228, 258, 1489, 42961, 13, 6569, 482, 328, 6670, 11, 1147, 3101, 60730, 17246, 21519, 343, 1463, 333, 449, 16030, 13, 67725, 72, 16254, 23738, 51134, 5699, 83090, 5999, 67058, 8725, 647, 6215, 355, 746, 38132, 67952, 11, 16034, 38684, 12583, 55248, 97973, 2746, 17312, 90769, 357, 2636, 19875, 142407, 91184, 14410, 53929, 13, 45481, 2746, 467, 36956, 2185, 8151, 4865, 11, 23738, 595, 2863, 723, 883, 17873, 1079, 342, 59391, 343, 15795, 9911, 9089, 75130, 56945, 458, 375, 22837, 13, 27258, 595, 2863, 723, 883, 17873, 1079, 342, 59391, 343, 15795, 35951, 32936, 6395, 2755, 51898, 268, 11, 773, 50926, 2739, 276, 14493, 267, 12643, 13, 9236, 41852, 265, 20319, 6616, 38650, 35505, 458, 12748, 680, 268, 90039, 60939, 129579, 46014, 82, 11, 23738, 15719, 883, 54548, 17873, 51134, 14948, 25531, 5451, 51292, 939, 8536, 301, 267, 1134, 2746, 12380, 25620, 76166, 14821, 624, 75919, 17058, 27265, 5679, 9740, 8452, 28122, 25141, 41530, 3818, 2714, 28095, 41488, 40462, 69713, 4443, 220, 16, 15, 13, 15, 15, 15, 42364, 11, 773, 12643, 53797, 56505, 622, 7714, 35380, 29167, 695, 295, 13, 12741, 13127, 738, 11687, 9089, 41488, 220, 17, 15, 17, 16, 10712, 17324, 54749, 65161, 1527, 55754, 10561, 13256, 17312, 422, 1945, 48672, 367, 19767, 11, 4087, 8801, 261, 77131, 2185, 595, 3571, 363, 36956, 2185, 458, 55754, 4443, 92979, 2030, 4443, 11002, 21062, 54913, 39264, 13, 350, 1862, 31573, 6772, 2739, 75323, 723, 2746, 3184, 360, 36616, 3371, 8547, 268, 6395, 17443, 11321, 83, 21673, 467, 7066, 81936, 261, 1279, 85, 16568, 321, 11, 24929, 5999, 730, 1222, 344, 36614, 27684, 4101, 83, 13, 79808, 5999, 17058, 2694, 74539, 1960, 8536, 2010, 142454, 7180, 730, 3571, 363, 36956, 11595, 11, 66809, 13, 444, 2717, 48842, 20048, 13279, 3216, 4489, 14840, 6395, 220, 16, 15, 15, 13, 15, 15, 15, 4058, 67726, 268, 462, 49241, 28865, 65078, 96373, 12643, 11, 35141, 77748, 73411, 304, 1527, 54708, 2725, 17029, 12643, 13, 55448, 13279, 6250, 74, 2305, 28421, 20048, 61550, 5765, 7160, 7139, 44336, 21558, 1440, 1197, 267, 40697, 11, 14948, 24927, 12066, 38897, 94092, 7219, 2429, 136142, 71865, 939, 4968, 4909, 668, 6969, 78, 26824, 8896, 13, 8408, 38650, 41137, 11595, 12643, 732, 1187, 1704, 19875, 1298, 89, 433, 668, 54727, 19985, 295, 2030, 14047, 709, 35505, 11, 4389, 65934, 2030, 25631, 18961, 295, 70251, 16676, 8793, 13785, 37400, 83, 6538, 13127, 2030, 3539, 13, 8408, 4184, 266, 2071, 85651, 11595, 15719, 10638, 8793, 14047, 85, 965, 13536, 12032, 11, 2746, 5451, 71017, 435, 15596, 268, 25714, 267, 35010, 7180, 434, 2798, 265, 14410, 82751, 17630, 13, 8408, 55248, 9443, 85953, 13409, 1859, 17958, 11595, 2030, 2746, 6538, 40402, 1111, 94505, 72101, 1960, 73787, 14668, 17630, 41983, 77775, 1330, 309, 51707, 11, 22075, 61197, 12385, 10928, 14612, 9416, 5183, 15462, 13093, 59226, 458, 14102, 285, 36616, 88766, 40193, 13, 8408, 18372, 7070, 2746, 47143, 304, 2746, 38383, 467, 36956, 2185, 2725, 17029, 17630, 11, 5999, 2823, 331, 11239, 17312, 794, 6712, 2030, 143037, 624, 35, 395, 7001, 37369, 97168, 44275, 53797, 387, 21561, 2305, 5178, 11, 289, 4288, 278, 65, 2746, 94678, 627, 29737, 15357, 9089, 37146, 7219, 386, 3891, 1126, 24134, 11595, 16540, 37137, 461, 529, 8896, 13, 8408, 1298, 4905, 960, 6538, 26233, 6953, 4489, 47368, 23502, 27298, 1081, 2391, 4873, 88937, 7180, 4368, 32250, 2030, 2714, 35608, 295, 8688, 1626, 380, 343, 15462, 730, 1723, 25655, 86, 86873, 11, 4368, 1422, 84251, 50095, 23276, 331, 6395, 19349, 13, 23334, 34749, 20404, 4865, 82, 627, 6395, 2739, 57396, 77, 11, 595, 3571, 363, 36956, 2185, 58319, 10928, 22075, 2714, 38897, 57803, 25494, 91929, 267, 45692, 2501, 13, 13127, 1191, 7714, 732, 37419, 220, 17, 15, 15, 24, 5451, 17443, 5876, 294, 1915, 483, 77399, 28223, 645, 10393, 11, 9740, 40334, 2257, 26612, 13, 55448, 22075, 1531, 9089, 8793, 4443, 9820, 34734, 306, 20005, 1845, 1424, 3818, 11, 44336, 21558, 1440, 2030, 74303, 22385, 13, 96943, 64774, 665, 37080, 10928, 42722, 46621, 7180, 3371, 730, 9444, 6222, 1225, 10980, 2030, 10246, 7997, 142596, 18520, 485, 3184, 360, 1268, 28122, 423, 96922, 31287, 7253, 268, 11 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 13368, 33946, 12385, 69707, 624, 38025, 610, 20048, 8495, 38472, 21491, 97463, 12, 19598, 6222, 20283, 273, 58237, 2030, 51239, 304, 2694, 22539, 90785, 1960, 77775, 1330, 20542, 2280, 36956, 2185, 668, 383, 7964, 11, 35141, 10638, 67952, 142596, 31247, 7253, 268, 13, 42616, 1032, 318, 437, 30632, 2714, 43183, 332, 529, 11, 27298, 1531, 10928, 2341, 90195, 19488, 485, 1527, 54708, 13368, 49096, 3591, 13, 3360, 8801, 261, 77131, 2185, 595, 3571, 363, 36956, 2185, 458, 55754, 2746, 304, 36744, 4818, 461, 417, 289, 1122, 10080, 42316, 268, 6250, 96922, 2030, 46416, 12643, 28883, 431, 2391, 14553, 4865, 7219, 2746, 57990, 55754, 5451, 455, 68, 2963, 11, 434, 49958, 12385, 15335, 27929, 3591, 13, 17288, 140729, 12643, 38383, 58166, 2030, 61776, 25620, 71378, 11, 22075, 2746, 6538, 43860, 22539, 90785, 665, 730, 1723, 74265, 2986, 55449, 4865, 14821, 13, 41663, 65224, 732, 5649, 12070, 325, 75278, 25, 28275, 73869, 11, 14410, 776, 7522, 13, 22338, 47436, 13127, 22338, 56946, 2956, 6498, 932, 2746, 730, 1723, 3371, 13127, 22318, 41658, 14047, 82816, 11, 6616, 36483, 384, 5137, 89730, 2030, 34368, 288, 31604, 467, 36964, 1197, 84884, 13, 22463, 1626, 380, 343, 14821, 9089, 12412, 8343, 2301, 17790, 4368, 51663, 11460, 11, 39264, 1531, 8099, 468, 287, 336, 84642, 25, 8408, 74857, 2694, 730, 3571, 363, 36956, 2185, 54383, 458, 13, 9740, 267, 24929, 68573, 2694, 58534, 7180, 6616, 2009, 2986, 410, 4953, 13279, 220, 19, 13, 19, 15, 15, 42364, 56505, 65, 4711, 11, 14948, 1531, 71935, 5999, 13, 44462, 1527, 265, 449, 27298, 1531, 67952, 1863, 1330, 268, 304, 3377, 834, 8801, 61776, 11, 13127, 5451, 99122, 5451, 11832, 16428, 1330, 4443, 25655, 79810, 17454, 26252, 8452, 268, 8495, 35323, 5016, 54913, 220, 19, 82816, 282, 41372, 8495, 9057, 275, 5679, 18520, 28831, 13, 9236, 14821, 43860, 9820, 73086, 2694, 2739, 30166, 9511, 9151, 61776, 2030, 9660, 32175, 96695, 11, 4443, 8408, 4058, 67726, 668, 89, 51078, 11567, 26824, 13, 38747, 95402, 8495, 11, 60637, 502, 798, 28275, 55632, 5999, 13, 4863, 21188, 17454, 8495, 2746, 434, 21519, 343, 51707, 939, 8536, 2010, 6538, 48158, 5016, 12153, 6395, 11845, 45061, 12153, 268, 28223, 3591, 11, 17066, 2746, 14409, 43026, 94572, 9383, 12385, 19104, 773, 35515, 1180, 83, 624, 7823, 1543, 467, 1038, 724, 14047, 11, 35141, 883, 13279, 595, 3571, 363, 36956, 11595, 4087, 84, 932, 1147, 58193, 12643, 8495, 2746, 57303, 1960, 12385, 2746, 3264, 76971, 13, 54068, 8031, 86, 36956, 2185, 27298, 1531, 95524, 28086, 139975, 11, 2746, 8495, 74675, 13, 25006, 1528, 730, 2542, 3591, 37896, 9421, 17058, 54092, 19104, 9820, 15770, 4311, 11, 85227, 94213, 6772, 8793, 77868, 896, 333, 17454, 13, 38747, 133238, 5999, 142596, 12222, 2746, 7416, 8229, 77420, 50095, 11, 2746, 9089, 55928, 1059, 29159, 88551, 15719, 13, 9774, 5840, 883, 60637, 458, 2746, 308, 44226, 6433, 33328, 81112, 11595, 11, 12583, 12304, 502, 336, 1127, 633, 137186, 1960, 4058, 67726, 268, 63318, 44275, 274, 4865, 2257, 2030, 20048, 49503, 423, 8400, 5178, 12643, 13, 49371, 73869, 11595, 20048, 71765, 220, 17, 14840, 220, 20, 71177, 91304, 6433, 11, 97696, 8495, 9089, 67382, 42150, 16053, 5451, 6975, 304, 6250, 90226, 624, 3727, 6772, 1083, 20048, 730, 59391, 1536, 25, 34711, 34749, 13550, 288, 2030, 479, 21835, 11, 304, 2429, 32175, 65, 20005, 12748, 23647, 5451, 71017, 1032, 4865, 372, 1724, 5679, 13, 758, 12442, 9034, 3377, 6616, 31665, 2174, 10928, 25531, 13906, 11567, 5178, 11, 17873, 16699, 47368, 10924, 19104, 9820, 91265, 87697, 4116, 406, 7355, 59522, 13, 25714, 53165, 14785, 12583, 9911, 14047, 13368, 13906, 18520, 40870, 41852, 56539, 17917, 11, 17873, 16699, 47368, 10924, 14948, 8725, 12222, 13906, 48985, 94873, 408, 5999, 13, 32886, 4368, 267, 35010, 6616, 773, 6785, 23334, 30102, 50926, 7180, 39265, 268, 4081, 28658, 11687, 12643, 11, 2746, 1531, 2429, 42786, 13, 14102, 86, 36956, 11595, 17837, 1960, 7180, 1527, 71, 61673, 10712, 330, 38, 783, 2694, 99122, 11, 19104, 572, 22589, 883, 11460, 13, 13127, 16699, 47368, 10924, 13279, 77012, 3393, 1079, 220, 16, 21, 13, 16, 17, 13, 17, 15, 16, 23, 21454, 2694, 730, 1723, 7180, 15462, 13127, 387, 285, 2493, 2010, 41210, 13279, 4443, 87027, 2125, 295, 220, 17, 13, 23, 24, 220, 16, 11, 21, 15, 19461, 11, 22075, 8725, 21982, 468, 10980, 78, 31500, 7019, 5930, 63051, 331, 1854, 10712, 537, 40231, 343, 2714, 15938, 295, 14821, 624, 21807, 3950, 36408, 65224, 6395, 3371, 28275, 665, 22837, 93096, 9820, 8793, 304, 50041, 434, 32251, 268, 22539, 36956, 273, 380, 7714, 1967, 380, 28122, 139523, 2694, 94678, 627, 11, 93328, 5699, 45258, 16111, 8641, 13, 45481, 35951, 2739, 69046, 6772, 37896, 2746, 2994, 364, 811, 89452, 2185, 11, 572, 40470, 268, 53797, 73689, 13, 91452, 732, 97268, 220, 18, 16, 15, 97528, 14668, 9299, 391, 1268, 6538, 2694, 49321, 12, 30172, 289, 12543, 3818, 1531, 6538, 17873, 13559, 572, 5999, 6616, 11, 86037, 11673, 2055, 13, 1599, 17771, 601, 8047, 1471, 20783, 327, 52287, 28831, 55879, 1531, 773, 17859, 13368, 79913, 61430, 6433, 92191, 1527, 8221, 1404, 11, 8495, 17630, 1083, 342, 81184, 13, 42616, 2746, 8105, 38822, 12115, 41663, 74374, 732, 3393, 9421, 13464, 268, 11, 14948, 2694, 13127, 12, 4703, 285, 4087, 17917, 2030, 4087, 17917, 2030, 4087, 17917, 2030, 64857, 28095, 5451, 274, 1762, 9300, 268, 472, 28421, 84732, 2429, 12442, 74, 19875, 1205, 90550, 81006, 58511, 13, 14235, 24440, 19104, 304, 384, 552, 76, 22840, 43506, 11937, 19104, 5451, 16034, 79192, 85466, 22996, 58193, 58285, 50900, 295, 11, 13368, 68312, 17029, 4368, 17873, 10928, 572, 3371, 7577, 551, 275, 61286, 713, 458, 9779, 524, 83, 13, 1599, 17771, 601, 8047, 1471, 20783, 327, 6538, 2694, 3354, 17739, 57562, 54459, 668, 70, 81184, 11, 2694, 730, 28865, 35141, 1757, 275, 732, 33328, 71, 482, 258, 79913, 6250, 52015, 5451, 17443, 40283, 35649, 794, 62014, 8221, 1404, 3647, 331, 11567, 26824, 13, 647, 24619, 52701, 9057, 16789, 15141, 2712, 2746, 4724, 5127, 519, 85725, 7219, 220, 16, 20, 12385, 220, 18, 15, 71177, 11, 14948, 81825, 25531, 18520, 289, 529, 12583, 624, 18175, 1230, 1579, 79870, 141377, 435, 2305, 372, 665, 21506, 33007, 268, 15462, 91265, 13279, 17058, 2014, 66685, 4188, 69701, 4368, 11, 58319, 595, 3571, 363, 36956, 11595, 2746, 17312, 1198 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1174, 89, 17033, 142037, 13, 12741, 6059, 376, 2228, 7671, 45985, 13785, 56751, 2501, 2746, 36866, 1055, 92182, 2030, 97096, 5419, 9820, 15723, 1574, 8536, 2010, 500, 1587, 627, 17312, 90769, 11, 9820, 342, 59391, 7256, 41109, 6395, 468, 10980, 78, 13, 2362, 48158, 69084, 278, 220, 17, 15, 16, 24, 595, 24774, 2746, 9270, 82901, 465, 13279, 80834, 2956, 11759, 6538, 220, 16, 16, 11, 21, 16, 386, 815, 11, 94505, 8495, 304, 4368, 730, 3571, 45926, 73, 17149, 2725, 16030, 13, 44602, 268, 1728, 285, 2030, 3184, 268, 12583, 48614, 512, 65, 408, 7256, 1863, 306, 1440, 2694, 14410, 309, 1960, 17152, 11, 6616, 61197, 21506, 2746, 18360, 375, 6395, 80617, 13, 12741, 730, 1723, 5999, 732, 350, 4738, 14840, 7219, 1148, 676, 220, 21, 13, 15, 15, 15, 42364, 27684, 57301, 11, 14948, 46668, 69342, 5876, 5214, 517, 2030, 60021, 2341, 90195, 19488, 5999, 13, 9236, 1424, 3818, 9089, 49536, 19104, 4443, 37357, 7256, 61776, 11, 74453, 9089, 61291, 95038, 732, 27941, 9151, 19349, 624, 38, 2963, 6616, 10928, 7180, 730, 9444, 57916, 273, 1389, 11, 17788, 16254, 92579, 47827, 8495, 304, 3371, 66968, 220, 16, 17, 3128, 13518, 63620, 1147, 26862, 6772, 59739, 23455, 42678, 93232, 69876, 17630, 13, 36574, 64289, 10638, 304, 30781, 17739, 12304, 96362, 1415, 29167, 956, 33827, 2030, 10928, 13785, 541, 9820, 6774, 440, 69028, 458, 63116, 3660, 77, 932, 27726, 11, 22589, 2714, 8547, 12, 2030, 5649, 12070, 69, 610, 273, 1070, 7180, 2746, 7219, 74, 19786, 10938, 44966, 939, 730, 9444, 7671, 1180, 819, 4946, 37896, 13, 19851, 385, 10246, 652, 79735, 11, 17788, 16254, 92579, 892, 686, 2138, 3847, 311, 6707, 13, 547, 39976, 11903, 70124, 11, 1343, 4495, 5451, 17873, 22996, 58193, 13368, 52434, 2694, 8151, 713, 86, 51817, 20005, 472, 519, 30005, 89131, 13, 2362, 2825, 42950, 20175, 12643, 26769, 19739, 13518, 6538, 67703, 8536, 2010, 500, 1587, 627, 268, 7219, 6969, 32863, 11, 773, 14948, 24440, 1079, 51292, 140527, 7180, 82, 4685, 268, 22996, 1466, 4832, 7060, 19285, 13, 35780, 5183, 12304, 15139, 15671, 31954, 265, 5840, 27684, 21558, 3342, 11, 1343, 4495, 5451, 17873, 22996, 58193, 17790, 4368, 7577, 579, 295, 4101, 624, 83953, 50435, 24209, 28064, 11595, 39264, 1531, 25531, 4443, 3371, 5016, 32997, 939, 65314, 11, 8781, 16254, 29952, 4443, 6616, 80072, 268, 37953, 6395, 357, 13977, 2712, 13, 468, 10413, 62803, 960, 26769, 60939, 56780, 68, 20048, 6538, 94885, 18372, 7070, 22665, 41658, 48376, 477, 32863, 12643, 11, 10638, 282, 90360, 6616, 23388, 54749, 13, 16354, 275, 5999, 4368, 53363, 23630, 11855, 3408, 713, 732, 45515, 273, 5840, 344, 11, 84522, 458, 48414, 4116, 372, 8793, 8641, 3371, 2712, 2030, 7219, 17058, 668, 4188, 79, 531, 268, 25570, 1952, 8641, 348, 79985, 54708, 13, 141196, 56500, 16111, 43860, 29873, 1690, 11, 57465, 300, 13368, 3371, 467, 49940, 67056, 2577, 6395, 97035, 21673, 13, 328, 11706, 276, 23446, 12307, 59380, 69, 49958, 12583, 304, 44979, 2746, 6538, 14898, 15671, 12748, 23647, 2746, 315, 13730, 1127, 94505, 72101, 665, 74857, 2030, 6616, 38383, 20404, 42189, 2714, 4260, 392, 83, 1531, 434, 49958, 1515, 351, 932, 28095, 11, 8781, 16254, 29952, 35141, 2694, 8031, 423, 81112, 15462, 25494, 4443, 47635, 21673, 58534, 80617, 13, 468, 10413, 62803, 960, 14840, 5205, 58065, 53797, 17790, 2694, 220, 20, 11, 20, 9838, 37137, 7256, 22138, 277, 64321, 2576, 89, 51078, 13363, 2030, 2746, 77556, 7256, 25527, 7522, 5342, 8801, 11, 13279, 2429, 93887, 9374, 2986, 13, 47436, 88687, 61197, 26109, 13785, 468, 5251, 6209, 5451, 27684, 2305, 4730, 331, 870, 22080, 1659, 5436, 32030, 11, 8781, 16254, 29952, 2590, 37035, 46954, 48985, 52015, 2185, 13446, 3591, 5342, 2030, 566, 318, 10559, 68987, 4711, 2986, 53383, 86, 404, 2712, 624, 35641, 11687, 77528, 3845, 12222, 17790, 1148, 676, 220, 21, 15, 49241, 22157, 74565, 82195, 406, 11, 10928, 304, 31355, 78, 78445, 306, 69936, 15719, 31357, 32936, 14102, 86, 36956, 2185, 13127, 6616, 73794, 312, 28324, 25, 21766, 2935, 2305, 1923, 303, 8220, 72, 8341, 81986, 17769, 4120, 25, 220, 22, 24835, 13, 467, 1020, 51528, 2694, 595, 9444, 29745, 28095, 27298, 1531, 15462, 9970, 355, 16034, 61150, 25832, 6538, 730, 3571, 363, 36956, 11595, 11, 24929, 52367, 2892, 8495, 330, 5830, 13, 9236, 8896, 9089, 10928, 10712, 1147, 26862, 6772, 54548, 66386, 93840, 11, 26769, 10882, 266, 3664, 14033, 9421, 89, 355, 275, 5679, 13, 4657, 9089, 46668, 32250, 140527, 775, 71, 406, 11, 5699, 83090, 5999, 2694, 13127, 732, 51309, 54371, 6395, 3371, 37801, 524, 33370, 45506, 83630, 6772, 732, 12343, 13, 16887, 4368, 17859, 261, 47227, 11, 51290, 10928, 15462, 31361, 268, 468, 29032, 1020, 15719, 9911, 24440, 24092, 308, 40193, 13, 23334, 26769, 67232, 6395, 387, 69046, 268, 11, 2746, 90080, 306, 6237, 265, 38486, 458, 2694, 15335, 27929, 645, 30636, 90930, 16030, 624, 50855, 20048, 2746, 36483, 82, 10928, 22823, 77919, 11, 2746, 8495, 773, 83835, 7219, 3371, 48158, 81287, 7364, 8793, 289, 15113, 37060, 13, 27258, 15719, 883, 13785, 541, 5451, 17873, 22996, 58193, 8725, 77509, 54459, 18520, 11, 66983, 2746, 20004, 46728, 2185, 12222, 18747, 68947, 3371, 67519, 21673, 647, 1087, 16789, 333, 1960, 668, 4188, 92473, 5999, 13, 8408, 133661, 12389, 12583, 47355, 17058, 3393, 55314, 383, 2694, 37330, 17739, 3184, 36616, 11, 387, 13536, 71, 28122, 41210, 7180, 2048, 1528, 9421, 2694, 54936, 14668, 83141, 383, 13, 3128, 2328, 4024, 264, 13920, 2185, 25, 467, 2603, 2746, 7577, 343, 1440, 2986, 6538, 220, 21, 15, 15, 19461, 10489, 1902, 331, 12153, 11, 6616, 9089, 9421, 2694, 422, 14320, 16597, 47226, 60939, 2030, 38124, 40696, 14012, 732, 13, 468, 766, 46646, 5342, 8801, 595, 3571, 363, 36956, 2185, 40157, 66653, 10712, 220, 17, 15, 16, 22, 11, 14948, 55928, 2694, 51239, 2739, 742, 529, 54548, 6772, 4184, 19488, 13785, 77, 25860, 2518, 268, 14821, 13, 5379, 50201, 42616, 8495, 4368, 1494, 1886, 468, 766, 46646, 5451, 730, 9444, 2714, 8345, 8398, 1365, 9820, 1527, 74462, 18241, 1527, 69, 4003, 11, 289, 2267, 287, 19981, 87040, 2746, 51239, 5451, 2429, 9460, 86379, 2228, 14906, 76, 6454, 477, 32863, 17630, 93395, 20321, 344, 10207, 28698, 13, 151643, 34027, 5451, 18713, 261, 4845, 299, 426, 25, 18482, 392, 48985, 13464, 7219, 31394, 267, 6712, 304, 131634, 1440, 198 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 12686, 65161, 4845, 299, 12032, 19207, 198, 15, 20, 13, 72124, 220, 17, 15, 17, 15, 481, 220, 24, 25, 20, 18, 38183, 198, 50855, 1197, 74, 24774, 650, 261, 8656, 406, 5451, 54649, 2823, 1070, 25, 758, 2694, 98359, 6538, 8224, 46680, 7219, 11840, 94905, 15122, 392, 1960, 14840, 5205, 41544, 1225, 276, 23446, 350, 70551, 9820, 31394, 267, 6712, 304, 2694, 451, 577, 70, 7490, 26647, 23455, 304, 131634, 1440, 9421, 13, 8495, 2714, 1371, 332, 33748, 86714, 783, 2030, 15139, 585, 1664, 77, 624, 38, 19981, 220, 17, 17, 25, 20, 15, 38183, 81314, 13518, 57519, 19924, 65161, 2746, 31394, 267, 6712, 2030, 4845, 81, 25423, 1960, 15462, 220, 17, 15, 13333, 36956, 6433, 7416, 477, 613, 1960, 13, 468, 10453, 2694, 431, 2305, 29870, 42668, 4368, 18713, 261, 49536, 2030, 4845, 299, 55499, 40870, 3371, 96428, 13, 3303, 51292, 17837, 524, 1531, 2694, 2825, 58498, 11, 86714, 783, 9421, 2694, 730, 13256, 6395, 80617, 2030, 10928, 16807, 1863, 43275, 1960, 4748, 11595, 304, 9820, 44687, 1528, 6395, 4087, 40188, 13, 11563, 610, 2714, 901, 3092, 268, 9911, 2746, 2988, 32030, 304, 57123, 2185, 86123, 2565, 355, 86, 13977, 2576, 624, 18175, 3651, 551, 72, 512, 275, 7714, 4443, 94873, 408, 9820, 73507, 303, 2185, 14047, 3371, 350, 2305, 4160, 4368, 13, 54068, 1501, 645, 65, 60637, 14840, 5205, 28883, 41663, 74063, 13, 50130, 665, 2694, 730, 57040, 9896, 551, 72, 9089, 50958, 13906, 44340, 3089, 21211, 2694, 350, 70551, 13, 8408, 20004, 54594, 2185, 88280, 529, 17790, 458, 624, 14658, 551, 72, 282, 1466, 303, 295, 2030, 293, 1442, 295, 9919, 68989, 4443, 92660, 198, 59462, 68989, 11, 2746, 97576, 67, 3591, 20005, 49633, 41210, 56500, 20048, 11, 12643, 29167, 33748, 11, 9089, 21506, 2694, 98157, 67919, 220, 15, 17, 19, 17, 16, 220, 24, 19, 24, 12, 21, 19, 17, 20, 5451, 2694, 3651, 551, 72, 304, 6250, 90226, 6395, 97696, 13, 9740, 28551, 268, 12643, 1640, 9433, 70439, 48842, 6395, 3371, 2988, 2391, 13920, 6433, 624, 74909, 62401, 22589, 1531, 9089, 4443, 57519, 63657, 12385, 22394, 408, 20005, 98376, 1424, 17454, 11, 6538, 69507, 17058, 5451, 66796, 69, 36956, 220, 16, 20, 20, 9961, 264, 1362, 541, 408, 79409, 4116, 11, 66983, 38897, 32618, 70551, 7219, 77556, 220, 16, 22, 20, 12, 16, 23, 15, 9961, 66723, 25620, 14033, 11687, 47650, 13, 42161, 57519, 43303, 10552, 6772, 48323, 273, 307, 295, 25, 17058, 2694, 74539, 17392, 489, 768, 4368, 81828, 31793, 4657, 13820, 321, 5451, 7219, 4188, 42189, 465, 31665, 90211, 2030, 17058, 81828, 5679, 86407, 3173, 71, 960, 5451, 83904, 26824, 57845, 1579, 367, 268, 458, 3371, 82276, 39307, 81828, 5679, 13180, 65752, 12032, 624, 22171, 54936, 632, 56381, 350, 70551, 489, 768, 95524, 4368, 31665, 5197, 268, 674, 13820, 321, 85725, 304, 27599, 84, 2030, 9820, 81828, 2986, 55584, 13, 422, 39129, 12213, 2714, 83904, 23455, 5016, 91547, 458, 2030, 282, 50753, 665, 9820, 81828, 2986, 23334, 71, 15141, 455, 300, 1528, 5451, 9089, 13, 8495, 97144, 489, 68989, 15462, 81828, 2986, 794, 1847, 6899, 440, 624, 22171, 42141, 5342, 6538, 74021, 50232, 3342, 95524, 9820, 23334, 71, 15141, 455, 300, 1528, 5451, 9089, 13, 54068, 4116, 60637, 1501, 2863, 13, 70219, 273, 307, 295, 4116, 2714, 95524, 5451, 17443, 14780, 268, 31665, 5197, 268, 674, 13820, 321, 11, 17058, 63472, 2892, 794, 1847, 6899, 440, 2030, 17058, 63472, 2892, 55584, 13, 151643, 22587, 932, 7276, 395, 25, 23334, 72101, 6538, 4697, 10269, 14047, 4697, 10269, 198, 32617, 79409, 485, 89423, 4116, 96042, 7219, 220, 17, 21, 13, 15, 15, 15, 63948, 266, 4059, 932, 21506, 709, 85426, 2030, 625, 20175, 665, 47143, 9421, 50041, 84974, 426, 268, 13, 75291, 261, 26109, 142596, 4368, 136249, 288, 44382, 90360, 732, 451, 27784, 4697, 10269, 82, 305, 40522, 4733, 74, 2863, 723, 13, 1863, 359, 92975, 10712, 2714, 73411, 13820, 84758, 135266, 11, 87791, 10712, 89423, 4697, 10269, 51586, 135786, 7180, 358, 4897, 624, 53, 269, 40897, 40462, 45506, 35276, 370, 9089, 2746, 4229, 48414, 22385, 11, 9820, 6454, 1440, 89, 10938, 2988, 94650, 16034, 89423, 4697, 10269, 51586, 135786, 6395, 2714, 6566, 7964, 2030, 6616, 89423, 81625, 22010, 36108, 72705, 6250, 86, 3145, 28122, 42153, 2305, 28146, 9421, 89, 392, 45258, 13, 17564, 275, 64857, 304, 4697, 10269, 29181, 28095, 1640, 4188, 35225, 220, 22, 17, 13, 15, 15, 15, 63948, 266, 59422, 6395, 90769, 13, 21766, 2694, 76604, 1937, 2185, 2694, 69791, 35780, 440, 1197, 135475, 28095, 8793, 12222, 2694, 9179, 51817, 20005, 35780, 2787, 423, 81112, 51290, 1640, 9433, 70439, 20048, 28095, 1298, 89, 23318, 2030, 84758, 53383, 133429, 12643, 13, 21766, 2429, 23334, 72101, 95723, 10928, 2799, 10559, 4182, 8801, 11595, 13279, 55591, 7276, 395, 18069, 72101, 25, 8408, 96042, 883, 41658, 19767, 709, 72313, 665, 46069, 42603, 2694, 444, 10911, 287, 434, 2305, 778, 261, 53211, 5178, 595, 16074, 723, 343, 5006, 3605, 17029, 13, 16354, 275, 51528, 9820, 1527, 13363, 6817, 2125, 1579, 16034, 84247, 11, 2746, 47143, 13279, 2694, 25714, 61286, 50158, 2694, 794, 16722, 3089, 1241, 7276, 2305, 778, 261, 6250, 66671, 75315, 624, 33, 285, 51292, 135777, 5999, 35951, 2714, 832, 17917, 198, 22171, 23334, 72101, 39264, 28095, 1147, 2391, 70, 343, 13785, 2746, 425, 21558, 811, 25, 330, 48047, 17630, 28086, 61217, 19868, 331, 16676, 2030, 1527, 54708, 39307, 2746, 362, 2024, 89131, 265, 258, 42603, 458, 71017, 47669, 15577, 371, 64857, 1, 10207, 89730, 7937, 468, 77656, 11, 74219, 82, 273, 2015, 15577, 16568, 13, 34903, 17630, 47143, 63620, 3393, 43183, 66075, 87561, 9971, 529, 2030, 12583, 25494, 6395, 3004, 4865, 6772, 11, 14840, 51292, 135777, 3371, 23334, 72101, 93094, 71968, 6975, 6395, 90845, 13, 71161, 6395, 36744, 28831, 71865, 14821, 6616, 43908, 47227, 135522, 458, 3371, 730, 129076, 802, 13785, 42316, 13, 468, 77656, 5999, 387, 78400, 529, 6538, 72440, 7909, 25, 330, 1806, 82, 485, 96428, 17630, 9089, 13279, 2429, 23334, 72101, 650, 20572, 6772, 1640, 9919, 768, 3893, 71168, 13, 43997, 35951, 25620, 2649, 83, 5999, 11, 12643, 16111, 6616, 74354, 309, 1152, 72, 932, 3263, 1345, 16676, 9057, 14184, 268, 70407, 8151, 4865, 2746, 35346, 56539, 17246, 92182, 3371, 7001, 1579, 932, 6538, 55591, 7276, 395, 11, 3371, 15577, 371, 273, 275, 932 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2030, 2429, 23334, 86, 3818, 42473, 9421, 11, 2746, 58052, 2030, 3289, 449, 1167, 67952, 14410, 82751, 17630, 11, 14948, 2694, 23334, 72101, 312, 579, 28122, 2301, 13785, 2746, 425, 21558, 811, 62459, 15719, 13, 151643, 6123, 1387, 665, 794, 15671, 458, 68929, 2030, 28416, 68, 11, 2926, 1942, 370, 13464, 304, 1260, 449, 28122, 276, 54708, 2030, 4368, 11386, 1923, 74519, 2836, 14383, 1387, 12583, 4368, 450, 332, 7256, 1527, 2986, 28324, 7180, 15462, 2739, 5342, 377, 1960, 5016, 329, 724, 13464, 13, 56231, 2746, 76720, 7256, 2030, 4808, 6712, 362, 1362, 484, 2185, 2694, 5016, 329, 724, 1723, 1777, 97035, 37633, 9820, 49910, 1528, 5016, 329, 724, 1371, 383, 83592, 2030, 2739, 73938, 529, 9820, 92686, 2694, 40866, 624, 86550, 6969, 1587, 295, 5451, 17058, 362, 7063, 138417, 2185, 11, 58319, 1079, 66968, 15577, 2694, 7001, 1579, 5999, 11, 7364, 15359, 529, 4182, 417, 359, 18713, 12, 2030, 44340, 2185, 5342, 2125, 1579, 9421, 51145, 2956, 68398, 9820, 35758, 83, 4370, 64, 361, 44340, 2185, 2694, 5016, 329, 724, 1723, 1777, 28883, 16950, 44226, 7256, 28831, 423, 89, 2956, 1389, 2185, 2030, 97035, 37633, 17760, 2574, 9820, 3893, 64177, 665, 11, 387, 2210, 383, 5699, 6984, 89, 1469, 3321, 277, 2628, 624, 12992, 1863, 52, 66186, 11148, 3846, 1861, 16522, 5218, 8264, 1793, 953, 198, 86819, 17324, 54749, 16030, 8495, 2746, 7284, 3925, 5369, 11, 4443, 12304, 91912, 665, 53835, 6395, 20048, 198, 3944, 2828, 1861, 386, 9996, 12, 609, 2726, 51, 60002, 58684, 2149, 14912, 42, 479, 8412, 39, 481, 468, 687, 6643, 4198, 3944, 52148, 953, 362, 2034, 8753, 42, 38957, 953, 11, 506, 9552, 63361, 37923, 787, 32829, 198, 4121, 9820, 2030, 37347, 1967, 50158, 11, 350, 887, 30353, 6538, 2694, 28416, 68, 11, 1152, 1387, 665, 794, 15671, 458, 2694, 68929, 12385, 2694, 61217, 38453, 20175, 17058, 5016, 64864, 93590, 1365, 12412, 35141, 76720, 312, 351, 17029, 12643, 624, 47957, 275, 9421, 2429, 92670, 33370, 74519, 388, 331, 21140, 8793, 17790, 4368, 16950, 44226, 343, 140370, 261, 5016, 21140, 14821, 11, 97696, 16111, 9421, 38130, 1011, 2301, 76178, 267, 9416, 28122, 73860, 6730, 268, 4368, 11, 4443, 2746, 70038, 1777, 35758, 24494, 613, 6395, 40283, 34865, 16030, 624, 83953, 17058, 18859, 6969, 613, 1960, 70038, 1777, 12643, 76720, 9740, 66423, 1732, 1568, 77, 19767, 133429, 11, 4443, 39455, 45061, 2305, 5183, 9421, 89, 51078, 11567, 26824, 13, 2362, 1527, 21062, 75, 1854, 14821, 9820, 7219, 21062, 75, 1854, 265, 12063, 66850, 1123, 367, 7180, 39455, 709, 37285, 261, 440, 34368, 32863, 624, 54, 395, 388, 331, 21140, 11, 40987, 81, 1323, 1387, 12385, 5016, 64864, 93590, 1365, 6250, 2172, 10316, 8495, 7219, 6975, 624, 54, 19875, 8495, 9089, 13279, 70777, 458, 23898, 65078, 85740, 288, 7909, 13, 19929, 811, 56500, 16111, 43860, 10928, 29873, 1690, 11, 13368, 5016, 2305, 5183, 95898, 1122, 268, 12643, 15719, 624, 40, 4079, 4182, 417, 359, 12, 14597, 304, 51145, 2956, 68398, 66809, 13, 140108, 4894, 85799, 50, 198, 867, 3846, 1861, 11085, 6643, 35, 25633, 6517, 30512, 9552, 9389, 10685, 198, 76868, 12307, 59380, 37122, 7180, 18713, 12, 2030, 44340, 2185, 5342, 2125, 1579, 50232, 1440, 16111, 1967, 377, 371, 11595, 732, 758, 12495, 12, 39307, 732, 142791, 61286, 713, 2030, 142417, 661, 2723, 76, 25058, 3591, 19767, 13, 8408, 3680, 86, 33758, 36519, 1260, 449, 28122, 12, 2030, 73794, 299, 4079, 1323, 1387, 20805, 68, 1147, 83049, 6395, 66482, 50790, 70, 21673, 25714, 83543, 13, 55448, 707, 66362, 22728, 276, 54708, 11, 468, 484, 12640, 268, 6538, 451, 1122, 388, 331, 22851, 86, 33758, 12385, 16887, 713, 1782, 14668, 458, 422, 31573, 932, 12583, 31357, 23204, 1960, 22385, 2030, 12643, 6538, 77012, 4182, 417, 359, 12, 14597, 54064, 13785, 16687, 5676, 624, 48047, 66238, 43860, 9820, 76178, 267, 9416, 2185, 17246, 265, 645, 1967, 377, 371, 2185, 5451, 17058, 41663, 337, 5857, 331, 681, 6538, 1147, 404, 4554, 220, 24, 23, 14360, 60423, 2746, 2341, 8345, 15671, 18713, 12, 2030, 44340, 28122, 1389, 2305, 665, 15719, 2694, 5016, 21140, 458, 75077, 73794, 36519, 3680, 86, 33758, 12, 12385, 1260, 449, 28122, 74462, 35758, 83, 4370, 2863, 84544, 87481, 66809, 13, 304, 20004, 38130, 76, 823, 32251, 268, 7219, 15462, 74219, 47226, 220, 20, 14840, 220, 20, 15, 9961, 320, 3756, 14047, 293, 4943, 28324, 4229, 42316, 89249, 8, 384, 40399, 16789, 15141, 5840, 12643, 624, 49882, 275, 14821, 12222, 18520, 4368, 24285, 10453, 47355, 61286, 713, 19051, 416, 425, 1021, 89, 72583, 11, 467, 33545, 11, 4992, 13, 3893, 51176, 4711, 11, 4443, 3371, 5016, 21140, 387, 383, 7964, 6395, 20048, 13, 32521, 2574, 12643, 2746, 40866, 14410, 268, 5840, 2030, 77814, 30875, 343, 11595, 458, 2988, 93840, 39307, 44602, 268, 12, 12385, 68929, 9779, 2305, 4370, 773, 342, 4671, 13368, 50837, 29695, 59493, 624, 12992, 1863, 52, 66186, 11148, 3846, 1861, 16522, 5218, 8264, 1793, 953, 198, 867, 3846, 1861, 11085, 510, 641, 12495, 46168, 377, 371, 2185, 198, 65332, 26824, 46168, 377, 371, 2185, 198, 10551, 46168, 377, 371, 2185, 198, 3882, 610, 67, 610, 48985, 66693, 78606, 198, 39, 39337, 956, 372, 1330, 375, 39470, 198, 38, 3065, 2305, 661, 2723, 76, 25058, 645, 198, 71865, 4370, 64, 361, 1967, 377, 371, 2185, 198, 42, 780, 12, 2030, 40987, 81, 74462, 6860, 2185, 198, 1241, 17098, 642, 18520, 4593, 198, 65075, 510, 7070, 267, 9416, 2185, 17246, 265, 645, 6730, 268, 198, 3004, 28064, 2185, 5342, 2125, 10559, 3680, 69936, 198, 30124, 329, 724, 50528, 72164, 5451, 73211, 347, 562, 1123, 367, 198, 35, 713, 1782, 1199, 133618, 11595, 23991, 50095, 5166, 198, 33, 87723, 1038, 28064, 2185, 13279, 82220, 25423, 17454, 198, 372, 42477, 265, 12063, 8907, 4865, 261, 96346, 2185, 198, 17, 19, 39620, 22157, 12, 1860, 198, 1241, 17098, 642, 18520, 4593, 198, 87876, 3893, 64177, 665, 1967, 377, 371, 2185, 5999, 65733, 4443, 4593, 198, 37, 337, 45061, 2305, 5183, 6395, 2148, 1440, 5679, 198, 693, 1732, 2628, 2986, 21561, 2305, 3885, 6395, 68336, 5186, 5679, 198, 1241, 2746, 467, 22181, 1923, 54377, 4886, 14012, 6395, 21187, 16030, 198, 10141, 2172, 10316, 8495, 7219, 44367, 41663, 65224, 1365, 4182, 417, 359, 18713, 12, 2030, 44340, 2185, 5342, 2125, 1579, 31477, 9421, 51145, 2956, 68398 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 624, 45, 3065, 268, 2694, 3680, 86, 33758, 36519, 1260, 449, 28122, 12, 2030, 73794, 299, 4079, 1323, 1387, 20805, 68, 142037, 10928, 2746, 142418, 70526, 4195, 25058, 645, 732, 74219, 2694, 34037, 45, 4365, 5190, 220, 16, 18, 16, 23, 22, 11, 2694, 2502, 1202, 12, 52260, 12, 2271, 14047, 34037, 45, 4365, 5190, 220, 16, 18, 23, 17, 24, 7180, 9970, 344, 143492, 11, 6616, 49371, 66693, 30353, 6538, 22728, 276, 54708, 2030, 2746, 19929, 53152, 59568, 7923, 6395, 3371, 12307, 59380, 42153, 33254, 6538, 4182, 417, 359, 624, 85799, 50, 198, 17, 19, 39, 4183, 17625, 953, 784, 434, 138346, 467, 4939, 4321, 2149, 86975, 91510, 198, 8813, 417, 359, 18713, 12, 2030, 44340, 2185, 5342, 2125, 1579, 31477, 1365, 6250, 2172, 10316, 8495, 7219, 6975, 198, 50855, 17630, 4368, 17324, 2095, 22079, 30, 1863, 61897, 932, 8495, 8793, 70836, 4182, 417, 359, 2806, 67, 3591, 267, 77868, 324, 28421, 13, 1230, 799, 220, 17, 19, 71, 1967, 377, 371, 2185, 11, 18713, 12, 2030, 44340, 2185, 5342, 2125, 1579, 31477, 2806, 67, 3591, 267, 7909, 54383, 7180, 8495, 26933, 275, 11, 4443, 43860, 58052, 2030, 10890, 6862, 306, 92660, 6395, 512, 37122, 0, 151643, 1912, 482, 75074, 93590, 5999, 387, 54081, 2030, 15687, 22163, 331, 1944, 342, 932, 18207, 37896, 11, 33043, 19104, 79913, 25369, 1047, 3248, 30, 7297, 11, 24929, 67594, 2694, 730, 1723, 2694, 57123, 7256, 19349, 624, 55063, 59462, 275, 2073, 5999, 13279, 1422, 16053, 3893, 1419, 33370, 386, 28658, 4160, 752, 380, 724, 4368, 67210, 29406, 371, 13, 19000, 20617, 2739, 5205, 83, 2746, 4400, 273, 25714, 1174, 91647, 26612, 2030, 458, 18207, 5999, 7364, 8793, 34368, 6395, 3371, 2712, 624, 19957, 22075, 883, 40157, 28831, 75315, 11, 1152, 71, 4832, 42046, 2694, 25369, 1047, 3248, 13, 5004, 372, 8793, 1083, 6616, 20617, 35323, 5451, 16034, 18207, 90845, 5267, 48047, 37896, 30632, 41557, 39771, 7180, 3371, 28718, 268, 65, 54736, 11, 65948, 3821, 932, 6975, 19104, 10928, 4443, 1581, 482, 35708, 13, 1581, 258, 20617, 5999, 5451, 49536, 2030, 87231, 11, 22075, 1531, 650, 2672, 71, 343, 14821, 11, 13279, 2429, 16151, 5451, 76, 45699, 320, 1127, 136249, 288, 42678, 4865, 4292, 15692, 198, 39, 51817, 9089, 7364, 8793, 773, 2739, 70617, 3342, 458, 11, 12385, 5267, 18175, 730, 29285, 35103, 13279, 8652, 304, 3371, 431, 2305, 372, 6772, 51707, 67317, 12385, 22075, 6616, 467, 21405, 55813, 17859, 5999, 11, 10928, 8641, 44096, 84, 26824, 13, 12741, 19219, 9421, 64560, 12, 2030, 20004, 67, 27097, 30654, 39307, 75074, 93590, 1991, 1600, 77, 559, 1579, 52549, 97703, 58052, 26252, 4946, 13, 51310, 730, 29285, 258, 22385, 88280, 529, 77556, 9820, 794, 28865, 624, 74863, 5451, 20617, 8896, 1757, 275, 41983, 647, 16568, 457, 510, 1658, 20112, 32030, 79913, 25369, 1047, 3248, 624, 8813, 361, 36866, 28815, 12643, 48323, 129894, 79, 723, 624, 32617, 20617, 15719, 2746, 60706, 71713, 9855, 56539, 343, 143562, 624, 53, 6215, 355, 746, 89, 11595, 510, 11135, 77, 14047, 75074, 93590, 4886, 1723, 198, 32617, 14835, 3925, 2073, 21982, 1644, 11687, 198, 44, 11042, 392, 12640, 268, 12583, 510, 38, 1070, 4929, 2886, 11, 8536, 83, 1387, 11, 1163, 766, 268, 11, 18207, 8470, 665, 11, 74106, 301, 332, 724, 321, 3591, 4992, 13, 7180, 82, 20617, 11, 1163, 424, 7180, 2746, 11, 2746, 49183, 5451, 20617, 10552, 17454, 85970, 198, 50, 965, 1960, 16111, 435, 11855, 709, 12032, 11, 595, 34271, 7256, 10638, 6616, 13906, 1923, 458, 624, 17249, 482, 510, 50855, 383, 730, 1723, 10393, 198, 15692, 198, 32, 1387, 31643, 300, 12583, 1059, 89, 6772, 686, 42789, 0, 2157, 380, 43303, 26769, 143525, 5451, 35515, 4003, 2030, 17630, 4368, 48100, 37888, 436, 1147, 68989, 46646, 624, 50, 965, 1960, 16111, 6616, 16151, 14047, 44096, 84, 26824, 2739, 48414, 11, 38261, 65295, 67519, 97973, 18078, 57926, 624, 4703, 285, 510, 370, 220, 16, 20, 12984, 2746, 794, 28865, 608, 730, 29285, 668, 220, 21, 24, 12984, 198, 16738, 1723, 5999, 7219, 220, 23, 47355, 88487, 2148, 1440, 11687, 340, 15692, 198, 641, 3371, 52990, 802, 3591, 75315, 12222, 4845, 74919, 16151, 67317, 13, 19000, 26125, 819, 14906, 76, 304, 3371, 28462, 3591, 14821, 67519, 97973, 81331, 3893, 42316, 13, 8408, 17790, 1007, 33370, 80544, 12643, 24929, 14047, 3371, 28462, 3591, 11845, 4188, 61007, 13, 151643, 91176, 462, 7288, 63699, 51001, 13731, 362, 16, 17538, 198, 2388, 72475, 16, 24, 22, 20, 345, 5472, 450, 728, 46449, 7180, 23273, 70336, 5999, 4443, 42477, 265, 28064, 2030, 27298, 70298, 6386, 28421, 14431, 2030, 1147, 392, 2636, 9416, 13, 305, 1847, 68, 64015, 5419, 82197, 281, 3101, 336, 15, 77, 345, 39726, 73612, 595, 24774, 5451, 9443, 85953, 425, 14412, 3092, 268, 7219, 44367, 47404, 25, 7727, 6308, 76213, 46449, 462, 11, 72984, 33161, 46449, 462, 4368, 58158, 151643, 18175, 13818, 367, 2694, 77814, 6566, 750, 50753, 84409, 11, 14948, 9820, 53211, 55067, 41852, 38013, 10938, 7355, 32997, 2185, 939, 1527, 27127, 450, 50591, 724, 14835, 36730, 98335, 2073, 304, 53936, 20404, 309, 1782, 275, 8793, 387, 71168, 30179, 42137, 11, 12709, 303, 529, 59765, 458, 2694, 5016, 32997, 359, 136507, 50499, 939, 9919, 713, 724, 7180, 2746, 26896, 649, 1387, 1960, 467, 9151, 13, 71161, 10712, 41852, 38013, 408, 732, 17632, 811, 6538, 16625, 220, 23, 22080, 13, 220, 17, 69093, 13, 220, 17, 4389, 268, 38, 20048, 10928, 1365, 7180, 2746, 26896, 649, 1387, 1960, 467, 9151, 2030, 60404, 267, 273, 275, 11595, 14840, 5205, 17790, 8793, 31100, 408, 7714, 1365, 8151, 610, 20005, 4182, 51078, 2956, 15897, 11595, 6454, 81184, 12643, 11, 2746, 9421, 18520, 17392, 7107, 437, 665, 22837, 38158, 8666, 826, 288, 61007, 12583, 11, 22075, 7180, 2746, 4182, 51078, 2956, 15897, 2185, 34542, 304, 54649, 20404, 309, 1782, 275, 4368, 41852, 38013, 1659, 4864, 51767, 18859, 41137, 2257, 5999, 320, 54118, 44676, 264, 13, 264, 13, 506, 2572, 431, 17395, 81, 13, 220, 18, 17, 1365, 56272, 44, 3221, 26, 14773, 1511, 220, 17, 15, 15, 19, 11, 220, 21, 22, 19, 431, 17395, 81, 13, 220, 24, 22, 1365, 3877, 74, 517, 10692, 26, 264, 13, 264, 13, 506, 13, 431, 17395, 81, 13, 220, 18, 23, 47053, 1898, 30215, 568, 2055, 63940, 2694, 14785, 10928, 13279 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2694, 12412, 6454, 336, 783, 33748, 11, 8793, 75590, 650, 37285, 2956, 24134, 6772, 29167, 695, 33748, 93504, 74, 2855, 2554, 11, 13279, 2694, 4368, 4704, 74, 50095, 91513, 31722, 47226, 2429, 20404, 309, 18387, 14412, 3092, 2030, 2694, 14211, 26824, 76604, 60409, 2185, 53936, 5699, 32997, 359, 136507, 6433, 7107, 437, 665, 457, 8793, 98421, 320, 85, 6072, 13, 10928, 425, 27106, 38, 220, 17, 23, 467, 320, 4676, 8, 220, 17, 20, 14, 16, 17, 1365, 55706, 88243, 26, 220, 17, 23, 467, 320, 4676, 8, 220, 20, 17, 24, 14, 16, 17, 1365, 50851, 21807, 568, 2362, 30512, 1323, 6433, 5999, 2694, 6250, 81112, 15269, 276, 22539, 84251, 406, 11, 357, 130337, 5451, 47669, 425, 14412, 3092, 268, 16540, 6951, 17029, 6395, 12643, 11, 2746, 58442, 97576, 143213, 33124, 48842, 304, 4368, 649, 2305, 5857, 15232, 11, 5699, 13363, 31151, 471, 7272, 2030, 458, 1726, 285, 1659, 3377, 13785, 23692, 17454, 13, 4724, 77, 610, 20048, 11, 1197, 709, 4370, 2694, 38453, 4865, 2694, 77814, 6566, 750, 50753, 84409, 11, 10928, 96042, 17790, 8793, 31100, 408, 7714, 12385, 23018, 8470, 87460, 16053, 1152, 71, 1536, 71, 2577, 665, 11, 19104, 55248, 1126, 17958, 2739, 47635, 20005, 37337, 63051, 8535, 19767, 11855, 10712, 2048, 1528, 21982, 6250, 81112, 2714, 8656, 406, 12643, 2030, 12583, 24929, 17312, 77814, 75399, 56505, 84858, 320, 85, 6072, 13, 4509, 2956, 1371, 273, 23354, 9683, 11, 4389, 268, 38, 11, 220, 16, 15, 13, 32050, 1489, 2572, 16625, 220, 23, 431, 17395, 81, 13, 220, 17, 24, 18, 296, 13, 289, 13, 451, 35334, 8408, 58485, 8666, 46745, 75399, 2694, 69791, 467, 16568, 14835, 36730, 2073, 2030, 14835, 98335, 2073, 2739, 30506, 93328, 10928, 13906, 36744, 472, 2245, 59785, 9820, 5016, 32997, 136507, 50499, 8793, 6395, 87541, 34271, 268, 624, 76868, 650, 91184, 2257, 41852, 38013, 10938, 7416, 8229, 35141, 6616, 1527, 27127, 450, 2986, 28324, 14835, 36730, 98335, 2073, 6538, 3371, 21766, 81936, 261, 76712, 2694, 1527, 36601, 84409, 939, 49662, 83423, 74191, 12643, 20048, 13, 151643, 13297, 4878, 1370, 258, 481, 2926, 1942, 4366, 481, 49096, 3591, 4554, 1704, 14906, 76, 12743, 453, 417, 25, 350, 3104, 1466, 3342, 2694, 15433, 2396, 6691, 5840, 3591, 59801, 41203, 47669, 29505, 2185, 481, 6645, 4878, 1370, 258, 481, 481, 5649, 276, 5679, 198, 3144, 25, 3703, 1110, 2136, 32815, 1448, 351, 1370, 258, 2285, 14, 5472, 276, 5679, 14, 749, 261, 325, 5523, 3104, 1466, 3342, 12, 1107, 82428, 2396, 12, 9913, 3591, 12, 261, 4223, 3818, 39978, 10316, 1331, 65845, 2185, 7409, 12, 16, 17, 21, 22, 21, 15, 16, 2564, 198, 89, 48418, 11687, 84301, 87481, 25, 220, 16, 20, 13, 42256, 220, 17, 15, 16, 24, 11, 220, 16, 20, 25, 16, 22, 38183, 198, 90940, 3591, 4554, 1704, 14906, 76, 12743, 453, 417, 350, 3104, 1466, 3342, 2694, 15433, 2396, 6691, 5840, 3591, 59801, 41203, 47669, 29505, 2185, 198, 18175, 49096, 3591, 6538, 15433, 2396, 12583, 1079, 32618, 1126, 331, 14047, 6437, 336, 32050, 723, 9913, 6395, 17443, 2694, 74539, 1960, 6250, 5623, 261, 732, 13979, 706, 22539, 27784, 13, 28275, 27431, 2694, 88937, 74, 27045, 932, 32175, 74, 34271, 17917, 42668, 11, 19349, 732, 4350, 18731, 41852, 9379, 21649, 49096, 3591, 129579, 4554, 1704, 14906, 76, 8793, 11845, 746, 5679, 6395, 56945, 11, 66093, 1531, 28086, 732, 98877, 12032, 1599, 295, 956, 12, 2314, 301, 732, 468, 321, 3888, 78, 14047, 82816, 13, 1863, 48418, 11687, 85117, 7714, 9089, 2694, 22080, 331, 13363, 2694, 393, 2068, 485, 5451, 220, 17, 21, 11, 21, 24, 19461, 7219, 1148, 676, 220, 20, 78233, 9421, 13, 16354, 275, 63940, 2746, 49096, 645, 7219, 63165, 2956, 11008, 5251, 263, 1862, 6222, 4865, 47143, 5451, 77556, 220, 19, 20, 78233, 732, 3386, 355, 624, 54370, 2429, 2714, 811, 13160, 730, 1723, 81, 23747, 308, 21519, 13820, 9089, 2746, 49096, 645, 2694, 98877, 1923, 268, 90224, 58308, 66685, 4845, 78571, 6772, 4317, 383, 71017, 63165, 16053, 306, 4738, 6538, 220, 17, 15, 16, 19, 13279, 220, 17, 20, 11, 18, 16, 19461, 13, 15017, 29159, 58881, 24929, 8793, 18520, 36077, 7180, 4368, 1032, 74, 539, 83, 4738, 1152, 70667, 11, 6616, 2746, 49096, 3591, 220, 17, 15, 16, 18, 732, 1863, 4733, 939, 425, 2956, 5428, 826, 64487, 13279, 1148, 676, 220, 17, 18, 19461, 1868, 17029, 83572, 13, 28275, 17058, 56740, 6538, 42678, 6130, 33481, 11595, 17630, 9911, 47332, 1536, 896, 457, 41488, 2429, 220, 17, 15, 16, 23, 261, 67775, 13279, 1148, 676, 220, 23, 15, 19461, 77556, 40462, 422, 1003, 22924, 458, 78445, 48376, 3065, 134215, 83, 13, 151643, 46, 652, 2174, 3591, 10559, 73512, 608, 137256, 50095, 22443, 519, 68, 198, 2132, 55318, 11, 51145, 2174, 3591, 10559, 73512, 11, 137256, 50095, 22443, 519, 68, 11, 56856, 331, 25834, 198, 37, 261, 3591, 276, 55754, 7313, 22443, 64, 24069, 11, 56856, 331, 25834, 198, 36731, 10316, 8495, 9089, 7219, 650, 9433, 65845, 13820, 22840, 43506, 20743, 304, 76, 22449, 17058, 58459, 12495, 2825, 16074, 276, 55754, 13, 35783, 18747, 28658, 50095, 1032, 6996, 268, 65, 83919, 2714, 35608, 295, 8495, 304, 17443, 44445, 265, 3591, 28462, 3591, 28736, 481, 773, 20048, 10928, 79409, 485, 43999, 27684, 15113, 2301, 732, 7577, 3591, 58237, 624, 80593, 9820, 67467, 10559, 28831, 6395, 54936, 275, 4081, 11855, 78, 10507, 13368, 7180, 15462, 650, 9433, 65845, 50958, 52159, 3591, 1085, 43506, 25, 8408, 8099, 61231, 10938, 1800, 12487, 89, 5451, 77775, 1330, 20542, 2154, 1749, 2030, 5540, 276, 55754, 60729, 43860, 12304, 7577, 72, 89249, 36108, 1845, 471, 1114, 4223, 4776, 2030, 55248, 97973, 3371, 5362, 36108, 44771, 624, 2132, 55318, 11, 51145, 2174, 3591, 10559, 73512, 11, 137256, 50095, 22443, 519, 68, 11, 3874, 16597, 5652, 198, 45, 324, 15462, 27265, 5679, 3089, 1370, 1268, 46014, 21982, 22443, 519, 68, 82195, 406, 25, 1345, 4079, 91896, 71760, 5451, 25620, 76, 473, 85, 965, 384, 5137, 4865, 33748, 1845, 471, 3723, 2030, 40462, 393, 6178, 13, 468, 6308, 4368, 73360, 932, 31551, 481, 28095, 4368, 289, 31009, 331, 2956, 4873, 22840, 64, 15738, 5600, 449, 321, 4894, 8852, 30905, 28736, 5836, 51620, 52879, 11, 56856, 331, 25834, 198, 75919, 2429, 12721, 12536, 3179, 3959, 2030, 4368, 48100, 80544, 1079 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 22728, 47008, 8495, 9089, 732, 77302, 33226, 5451, 289, 1241, 648, 337, 3433, 81287, 13785, 3371, 22443, 519, 68, 31100, 84251, 12495, 13, 506, 1107, 8495, 512, 6996, 268, 9089, 34368, 30563, 355, 11, 58237, 24929, 350, 16053, 1960, 25151, 2030, 94655, 668, 1412, 7219, 2694, 17655, 13256, 19051, 416, 13411, 36564, 13, 9236, 27298, 773, 36077, 4182, 1137, 6395, 11460, 481, 53165, 12353, 0, 151643, 32617, 14552, 1674, 8055, 29876, 983, 304, 647, 3145, 3431, 268, 1528, 1031, 7522, 198, 70451, 220, 16, 19, 17, 15098, 16754, 16074, 63319, 304, 647, 3145, 3431, 268, 1528, 83797, 198, 54428, 45501, 220, 18, 15, 11, 647, 3145, 3431, 268, 1528, 11, 647, 3145, 3431, 268, 1528, 11, 1084, 55318, 11, 220, 16, 16, 15, 17, 23, 481, 25714, 2694, 730, 19840, 85239, 198, 7799, 16034, 14552, 1674, 8055, 29876, 983, 198, 32617, 732, 1863, 306, 10721, 6538, 647, 3145, 3431, 268, 1528, 3893, 1937, 1952, 14552, 1674, 8055, 29876, 983, 81616, 295, 9089, 220, 16, 13136, 6538, 3371, 25784, 37122, 356, 545, 66945, 1528, 82195, 406, 13, 56231, 220, 17, 73580, 1065, 13160, 82195, 406, 17630, 8495, 3457, 3591, 76716, 524, 6395, 17443, 22728, 2030, 17443, 4818, 8832, 372, 13, 42161, 40407, 2739, 30166, 4370, 13785, 15462, 2988, 610, 60365, 6222, 266, 52292, 11, 26073, 288, 70847, 2030, 5699, 95144, 14225, 13820, 44306, 3667, 13, 19000, 34734, 1952, 425, 1021, 64474, 5999, 5451, 17443, 14101, 471, 20521, 1194, 9421, 6969, 1587, 295, 13, 8495, 20048, 140729, 4368, 59739, 7997, 288, 2030, 1059, 89, 81760, 288, 2869, 21558, 135522, 82757, 26824, 11, 66983, 43860, 6616, 25488, 330, 2101, 8055, 29876, 983, 1, 57465, 39337, 93887, 10712, 10928, 2590, 37035, 19929, 37347, 4853, 17029, 13, 25714, 1527, 83301, 12583, 10928, 12997, 277, 10559, 19929, 37347, 59801, 41203, 6772, 13, 18069, 4818, 33395, 305, 41203, 220, 20, 15, 296, 21982, 14552, 82195, 406, 2030, 21982, 31329, 16719, 1055, 12853, 42488, 73600, 12495, 8495, 220, 17, 15, 9460, 7970, 13160, 13, 8408, 22450, 2660, 2030, 6616, 20481, 304, 14205, 19625, 258, 1168, 12583, 97144, 220, 17, 15, 13136, 21982, 14552, 82195, 406, 624, 86819, 11321, 1960, 8495, 11, 14948, 13279, 2694, 33278, 2185, 6538, 19851, 17808, 2645, 27233, 965, 79, 2645, 2746, 2126, 134291, 440, 16034, 32618, 351, 12, 12385, 3680, 408, 38809, 8793, 732, 60939, 1197, 35505, 12583, 13, 2362, 20101, 5999, 6616, 25488, 12222, 16034, 3680, 408, 38809, 3893, 51176, 4711, 13, 15438, 266, 28736, 142454, 64857, 12222, 732, 20101, 17312, 90769, 13, 151643, 63599, 25, 1527, 5580, 467, 5186, 1489, 6250, 91712, 37633, 1079, 220, 17, 13, 80157, 220, 17, 15, 16, 24, 304, 31145, 2391, 325, 609, 2823, 321, 8535, 198, 91992, 19767, 7297, 76, 13977, 40951, 5412, 2085, 75315, 52434, 304, 3371, 3184, 35649, 6538, 37419, 6395, 37419, 4368, 74539, 12917, 81020, 458, 49848, 6222, 20436, 268, 1365, 2746, 67658, 10928, 8793, 12222, 6395, 342, 14412, 483, 870, 51290, 10928, 6395, 3893, 1323, 13518, 336, 46690, 16053, 5699, 2660, 40188, 13, 36574, 10928, 6395, 2823, 321, 8535, 13368, 31145, 2391, 325, 12385, 38312, 8828, 434, 23262, 13, 647, 24619, 42786, 595, 54536, 9089, 34749, 49848, 6222, 20436, 268, 304, 30781, 17739, 34542, 13, 16887, 6616, 566, 332, 7256, 81448, 713, 324, 461, 1032, 54749, 27298, 1531, 28086, 25494, 52287, 13, 9236, 51528, 10928, 38805, 28883, 39493, 268, 9421, 13, 16887, 81448, 713, 324, 461, 6368, 267, 54739, 6772, 6395, 342, 14412, 483, 870, 46690, 16053, 13, 18078, 27313, 6395, 431, 484, 69, 273, 16053, 11, 6616, 732, 393, 7065, 4223, 12, 2323, 13785, 87533, 336, 3841, 8801, 342, 14412, 483, 83, 26109, 89478, 32617, 8354, 16034, 1032, 54749, 1365, 22075, 15687, 30632, 41557, 6051, 17029, 90556, 686, 267, 11, 24929, 668, 263, 7751, 485, 44367, 5573, 47404, 11, 3371, 38593, 11, 3371, 25051, 6691, 4513, 12385, 81212, 13370, 15843, 48821, 198, 82043, 2501, 6616, 1032, 54749, 55813, 9421, 7638, 43409, 3591, 5267, 52673, 48985, 5412, 14668, 9089, 2746, 4229, 273, 4079, 1960, 13, 422, 395, 1531, 72170, 9421, 2694, 3309, 258, 15232, 22222, 17739, 136112, 51528, 72170, 8793, 13, 36574, 63506, 65295, 40157, 84193, 8641, 50435, 50201, 13279, 26587, 19767, 624, 2314, 3818, 1531, 9089, 49536, 330, 77, 324, 1, 12222, 4443, 9820, 2055, 23455, 5267, 8813, 258, 11, 883, 15719, 5451, 81448, 713, 324, 461, 10928, 89115, 16030, 13, 14235, 142580, 24440, 55813, 25494, 595, 1222, 344, 348, 6670, 12032, 13, 71474, 79192, 47008, 9089, 40870, 33519, 45097, 89115, 16030, 13, 506, 1107, 24440, 5412, 4865, 384, 552, 76, 434, 16053, 9820, 69030, 2185, 81448, 713, 324, 461, 304, 2746, 14322, 1387, 51176, 46621, 11, 94505, 24440, 50435, 7219, 3371, 49848, 12385, 304, 3371, 6841, 1055, 268, 2472, 83, 624, 26034, 5999, 12412, 62401, 1766, 613, 2746, 89931, 89, 332, 266, 5267, 18175, 31184, 321, 645, 13, 13409, 824, 70667, 14821, 9820, 2770, 62634, 31184, 321, 645, 13, 7281, 8793, 2746, 61067, 29763, 2424, 321, 645, 13, 8408, 61067, 29763, 2424, 321, 645, 5999, 143525, 93395, 357, 1118, 2030, 73741, 9089, 8793, 38805, 773, 17859, 13368, 2746, 2770, 62634, 31184, 321, 645, 2739, 277, 50656, 13, 8408, 31184, 321, 645, 27298, 2429, 81448, 713, 324, 461, 10928, 38897, 3582, 10559, 1081, 2391, 811, 13452, 1371, 624, 87876, 93395, 10489, 1902, 4865, 95285, 44492, 25, 5451, 50041, 1863, 332, 13518, 13, 320, 59243, 25, 89487, 467, 5186, 1489, 340, 40369, 27726, 10928, 28086, 54459, 6538, 926, 870, 81448, 713, 324, 461, 93096, 4894, 52445, 11, 6616, 27298, 1531, 10928, 11, 5999, 19104, 8793, 773, 18607, 265, 41538, 13368, 6616, 1081, 2391, 811, 81448, 713, 324, 461, 0, 2823, 318, 926, 1960, 74191, 883, 8364, 349, 2030, 31643, 40454, 13, 19000, 1081, 2391, 811, 305, 287, 19981, 5999, 16447, 2305, 27951, 65, 10215, 529, 288, 81448, 713, 324, 461, 624, 83516, 1528, 30632, 268, 1863, 332, 13518, 12643, 95243, 17790, 91304, 17917, 5267, 44667, 1531, 70984, 6395, 37896, 25, 663, 1600, 1103, 11, 13620, 674, 4260, 1387, 11, 1863, 45702, 9779, 77, 11, 506, 1580, 5652, 11, 68730, 47795, 2024, 1587, 11, 910, 321, 333, 1023, 268, 11, 8211, 89, 11, 81828, 7070, 393, 1859, 2945, 39307, 12838, 343, 2030, 136990, 13, 6771, 89, 465, 288, 51327, 723, 10928, 28789, 330, 39416, 2257, 37896, 22956 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 83516, 1528, 1863, 45702, 9779, 77, 74191, 883, 30, 16887, 27298, 1531, 19489, 266, 2071, 53797, 5267, 74909, 27298, 1531, 80260, 20005, 362, 1362, 395, 11595, 25, 8408, 15462, 80617, 926, 665, 1863, 45702, 9779, 77, 11, 2746, 38684, 26252, 372, 71765, 5016, 278, 10291, 13, 19000, 93985, 55813, 65295, 13785, 70489, 13, 43997, 24440, 9820, 9057, 70439, 41663, 65224, 22996, 2391, 28494, 2694, 1863, 45702, 9779, 6691, 355, 71965, 28789, 81448, 713, 324, 461, 67960, 54749, 69876, 6055, 83, 11, 773, 5699, 265, 20319, 1531, 54064, 304, 2746, 67489, 546, 21506, 49662, 46668, 2823, 21561, 2032, 13, 25861, 27726, 23273, 13279, 88787, 1032, 54749, 7180, 20101, 1227, 68, 320, 40412, 19488, 142580, 24440, 2869, 93110, 819, 30781, 645, 9779, 79551, 8, 2030, 5016, 278, 50011, 36852, 31722, 268, 624, 83516, 1528, 69252, 7522, 332, 724, 321, 3591, 20112, 33827, 10638, 7180, 2746, 95714, 485, 50158, 5267, 53750, 35363, 2030, 12304, 482, 15462, 386, 9416, 799, 13, 49192, 2806, 18060, 1531, 10928, 9820, 69252, 7522, 6899, 87895, 13, 36574, 19767, 82, 386, 9416, 799, 77, 2694, 1863, 332, 13518, 12643, 2746, 362, 441, 268, 17790, 70336, 3457, 51663, 61007, 11, 10712, 8725, 19767, 2746, 1863, 12540, 321, 30353, 1466, 2660, 17058, 69252, 7522, 6899, 87895, 14410, 5467, 426, 624, 18175, 8185, 377, 33370, 1863, 332, 13518, 74453, 6395, 261, 267, 52716, 58534, 304, 3371, 386, 9416, 799, 35103, 13, 320, 59243, 25, 89487, 467, 5186, 1489, 340, 37438, 343, 25, 11937, 12385, 834, 258, 5267, 1806, 2721, 74919, 0, 18069, 31145, 16053, 9421, 12838, 343, 2030, 136990, 5999, 38805, 3582, 16053, 7180, 4368, 81448, 713, 324, 461, 1032, 54749, 13, 16887, 289, 336, 6616, 49081, 2986, 55813, 6395, 822, 8801, 5999, 11, 51939, 2694, 15854, 723, 2694, 13589, 6535, 4446, 83, 28086, 39771, 328, 2305, 552, 5451, 11, 2694, 15719, 67658, 10928, 7219, 3371, 12838, 343, 73197, 28698, 624, 40, 267, 81448, 713, 324, 461, 274, 1762, 69, 5267, 32617, 51528, 74054, 458, 11, 13368, 9971, 301, 393, 1859, 2945, 2030, 81415, 883, 387, 343, 20319, 13, 35783, 142580, 2994, 55813, 38805, 23034, 288, 81448, 713, 324, 461, 1059, 58158, 12385, 36108, 6616, 330, 89, 896, 2861, 293, 1440, 406, 3263, 19000, 63940, 55813, 38805, 13279, 65295, 13, 78021, 362, 13920, 2185, 25, 29643, 24440, 55813, 25494, 274, 1762, 69, 288, 2497, 8345, 529, 2030, 136088, 4368, 18107, 295, 3371, 5840, 15269, 276, 11, 14948, 8793, 55928, 330, 50, 1762, 69, 1, 2739, 140464, 13, 7281, 5999, 1531, 83835, 31410, 309, 4368, 81448, 713, 324, 461, 274, 1762, 69, 2030, 4368, 30632, 288, 93395, 23034, 1147, 5197, 392, 485, 14668, 13, 16887, 25, 9236, 5999, 7906, 88660, 8343, 6772, 1508, 4368, 13785, 11855, 274, 1762, 69, 288, 81448, 713, 324, 461, 17859, 6395, 1152, 68413, 46690, 16053, 13368, 472, 21519, 77, 7522, 12385, 84243, 6368, 267, 1365, 12385, 2746, 5016, 13977, 1859, 3371, 35346, 76, 473, 21982, 46690, 16053, 25494, 10489, 9160, 2956, 406, 89478, 80593, 46668, 1032, 54749, 47650, 34542, 633, 20521, 4711, 68, 910, 321, 285, 79551, 13, 2823, 13536, 71, 28122, 41210, 4443, 68876, 6395, 19349, 25, 9820, 14761, 1371, 926, 665, 81415, 13, 320, 59243, 25, 89487, 467, 5186, 1489, 340, 50, 965, 10638, 6616, 68730, 47795, 2024, 1587, 10928, 5451, 38809, 5267, 8813, 258, 11, 19104, 1531, 93096, 6395, 3371, 47227, 89, 332, 13518, 2030, 27298, 2429, 81448, 713, 324, 461, 9820, 61550, 54739, 20005, 362, 441, 585, 316, 1146, 68, 13, 9236, 5999, 48803, 22079, 6616, 68730, 47795, 2024, 1587, 11, 14047, 27431, 6616, 81448, 713, 324, 461, 74764, 19767, 709, 89, 11706, 8896, 11, 26252, 6395, 82195, 12495, 624, 38, 2095, 81448, 713, 324, 461, 20112, 32030, 38897, 28831, 4894, 9945, 64489, 26824, 25, 2573, 11687, 6616, 81448, 713, 324, 461, 1032, 54749, 47143, 1308, 4979, 724, 15462, 12353, 13906, 1923, 4443, 11, 94505, 24440, 1531, 74191, 13, 9236, 27298, 71765, 70772, 5676, 2746, 6538, 14840, 6395, 40462, 69713, 65562, 7522, 11, 14840, 2746, 362, 441, 268, 2694, 1863, 332, 13518, 12304, 1147, 361, 258, 8199, 81671, 17630, 624, 80593, 82, 26349, 1330, 331, 811, 12487, 2694, 31184, 321, 645, 384, 84858, 9089, 1079, 52747, 4368, 274, 11706, 93339, 288, 42616, 34103, 36370, 13, 320, 59243, 25, 89487, 467, 5186, 1489, 340, 1001, 1600, 1103, 11, 506, 1580, 5652, 11, 81415, 11, 393, 1859, 2945, 2030, 8211, 89, 304, 3371, 386, 9416, 799, 56500, 2030, 1152, 258, 296, 9416, 799, 77, 13, 63678, 2746, 1863, 45702, 9779, 77, 11, 13620, 674, 4260, 1387, 2030, 31184, 321, 645, 53797, 50697, 704, 53797, 56500, 2030, 296, 9416, 799, 77, 624, 75919, 2429, 386, 9416, 799, 77, 2694, 8185, 377, 33370, 1863, 332, 13518, 58065, 31184, 321, 645, 11, 1863, 45702, 9779, 2030, 13620, 674, 4260, 1387, 38805, 1152, 258, 29695, 473, 83, 12385, 14410, 2125, 22449, 304, 3371, 386, 9416, 799, 13, 320, 59243, 25, 89487, 467, 5186, 1489, 340, 45, 359, 3371, 15854, 723, 2694, 13589, 6535, 1147, 4733, 7964, 2030, 21506, 435, 21558, 1440, 5451, 136990, 7219, 21512, 26824, 11, 14840, 9089, 2746, 22539, 66107, 38486, 730, 2382, 380, 16597, 29167, 695, 295, 8896, 13, 758, 17443, 47708, 9379, 33370, 37832, 1308, 4979, 724, 220, 17, 19, 80544, 4368, 13536, 12032, 47008, 624, 28684, 372, 22589, 2746, 60176, 732, 730, 21558, 4730, 331, 13129, 1308, 4979, 724, 220, 17, 19, 80544, 330, 67, 2574, 13536, 12032, 1, 5267, 57, 372, 15462, 81616, 268, 9089, 11937, 8185, 377, 1952, 42678, 5186, 2986, 13368, 663, 1600, 1103, 2030, 506, 1580, 5652, 304, 77012, 81448, 713, 324, 461, 13, 16887, 6616, 22589, 11937, 10928, 4368, 69987, 582, 713, 12643, 13, 15515, 713, 25, 9236, 74247, 426, 9089, 4368, 69987, 5451, 2988, 30203, 50499, 56354, 2030, 5999, 8793, 18520, 30411, 426, 20521, 268, 13, 71474, 38684, 22589, 34542, 142675, 10928, 4368, 362, 441, 309, 941, 1197, 267, 40697, 13, 16887, 2694, 91304, 17917, 4368, 69987, 28831, 624, 65835, 2030, 13368, 52287, 15719, 10638, 2746, 60176, 7219, 81936, 21176, 5267, 38, 12070, 35323, 304, 18069, 896, 377, 6072, 2305, 799, 77, 668, 30166, 79788, 13, 2363, 1528, 282, 2391, 79788, 1531, 10928, 732, 2988, 2305, 21062, 7522, 668, 13, 47436, 2694, 422, 27097, 51528, 1531, 74054, 458, 11, 13368, 9971, 301, 136990 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 24440, 74191, 13, 47436, 69987, 136990, 15719, 1531, 19349, 11, 14948, 9089, 1079, 91245, 268, 23963, 6616, 81448, 713, 324, 461, 71935, 99106, 20521, 4711, 13, 16887, 22075, 6569, 545, 305, 482, 766, 46646, 9089, 10928, 5016, 64864, 71211, 295, 13, 38747, 82197, 4928, 268, 2030, 451, 519, 13, 7281, 25, 35780, 4368, 13906, 57519, 12385, 57093, 69713, 2497, 8345, 529, 288, 81448, 713, 324, 461, 2497, 8345, 529, 288, 81448, 713, 324, 461, 458, 4748, 83, 25, 468, 13573, 610, 8641, 1353, 276, 435, 645, 7522, 2030, 95038, 305, 2210, 355, 20153, 1100, 16030, 11, 14948, 35951, 773, 24131, 645, 426, 13368, 1531, 19349, 50926, 624, 1654, 41846, 1032, 2986, 24151, 7180, 2055, 26824, 27298, 594, 10928, 7219, 31008, 94376, 89478, 20428, 21062, 2717, 65295, 35323, 8641, 304, 2694, 2055, 26824, 13431, 60273, 4443, 89478, 34481, 25, 35323, 11, 2714, 1626, 16053, 408, 198, 641, 17443, 47708, 9379, 33370, 37832, 1308, 4979, 724, 220, 17, 19, 80544, 5451, 2429, 68730, 47795, 2024, 1587, 4368, 13536, 12032, 47008, 624, 32, 13920, 2185, 25, 8408, 60054, 268, 524, 40308, 6395, 81415, 2030, 136990, 12583, 57123, 86, 13820, 13, 35780, 1531, 5699, 13977, 802, 2030, 1320, 30203, 7272, 17630, 66316, 74191, 18520, 136990, 2030, 81415, 13, 35780, 6616, 98863, 6817, 321, 55449, 28324, 4878, 25, 451, 19042, 11, 24440, 18599, 267, 28086, 1112, 151643, 52, 3096, 2863, 18563, 79374, 13431, 9160, 6222, 2172, 23455, 481, 81276, 0, 11840, 12495, 59019, 198, 57, 72, 1503, 632, 17980, 5379, 30262, 23959, 1612, 10140, 30585, 23080, 30585, 17258, 51, 11840, 12495, 826, 301, 34902, 7256, 39502, 24366, 730, 884, 337, 573, 5730, 325, 12836, 11705, 44391, 24990, 1579, 468, 7276, 275, 3017, 444, 6943, 730, 5205, 11567, 709, 8059, 15530, 8059, 15530, 7856, 52, 81276, 0, 11909, 44382, 81276, 0, 11909, 444, 5956, 81276, 0, 11909, 3240, 2305, 359, 28122, 8125, 5956, 81276, 0, 11909, 4636, 8059, 81276, 0, 11909, 3240, 2305, 359, 28122, 1121, 40054, 20404, 1241, 22385, 83234, 1881, 70334, 19544, 23076, 65608, 96783, 372, 91741, 32997, 362, 5381, 198, 52, 3096, 2863, 939, 30262, 79374, 13431, 9160, 6222, 2172, 23455, 198, 35641, 11687, 835, 6772, 45692, 2501, 1531, 53899, 3145, 458, 1365, 198, 34889, 2739, 6984, 6772, 74764, 5342, 25462, 0, 18563, 2694, 17152, 4894, 641, 2694, 28831, 21982, 220, 16, 19, 13, 6122, 14840, 16034, 220, 16, 20, 13, 6702, 220, 17, 15, 16, 24, 293, 45258, 16111, 2746, 16402, 19893, 304, 2694, 79374, 13431, 9160, 6222, 2172, 23455, 83769, 5566, 4443, 12, 2030, 9421, 13, 9236, 14821, 83630, 6772, 140370, 11, 36077, 6481, 261, 2030, 139906, 1365, 35323, 36077, 58459, 1194, 13, 15687, 15269, 49494, 55813, 14410, 848, 406, 19349, 4894, 47957, 275, 15687, 304, 2694, 65959, 64, 454, 71, 519, 8793, 7219, 11840, 811, 73197, 28698, 3091, 267, 11, 81687, 16111, 97703, 4368, 11, 44367, 38684, 16402, 530, 268, 304, 730, 80561, 6395, 77919, 510, 47699, 0, 11840, 12495, 59019, 11, 356, 1151, 963, 135786, 220, 20, 11, 730, 80561, 320, 45, 2305, 383, 3385, 57, 340, 47699, 0, 11840, 12495, 59019, 11, 71474, 79635, 1960, 74, 1121, 220, 16, 11, 730, 80561, 320, 26490, 642, 76147, 11, 2655, 791, 332, 340, 35, 39129, 5699, 268, 2712, 16111, 7180, 2746, 28831, 939, 65959, 11855, 4368, 40713, 1581, 1543, 16594, 89, 6433, 23959, 21835, 304, 2746, 62668, 267, 42759, 6739, 23959, 333, 74, 37473, 11, 1083, 16034, 79192, 330, 15216, 6556, 1, 14821, 330, 10159, 8658, 497, 330, 10159, 8658, 1, 14821, 330, 2403, 4120, 497, 330, 2403, 4120, 1, 14821, 330, 93809, 497, 330, 2403, 4120, 30585, 1, 14821, 330, 2120, 14768, 497, 601, 86, 624, 19957, 12304, 25462, 0, 10140, 730, 23118, 20048, 304, 50041, 89005, 4081, 276, 42469, 30262, 384, 40399, 61007, 12643, 320, 45702, 29288, 43, 568, 1674, 642, 6395, 1581, 68413, 16594, 89, 6433, 23959, 333, 2030, 38805, 28883, 25714, 1726, 285, 1365, 27941, 13256, 11, 12385, 5267, 70194, 15687, 17790, 70777, 33043, 11, 289, 10938, 97703, 342, 932, 458, 23898, 77634, 95285, 19207, 304, 3371, 25462, 0, 16402, 530, 268, 13, 58616, 14821, 883, 30094, 342, 932, 35276, 15141, 89, 10938, 20004, 74, 16074, 63319, 56500, 624, 6184, 10712, 77012, 794, 8666, 70, 559, 66238, 16111, 14047, 2429, 65959, 2863, 38805, 75590, 38574, 273, 40713, 5251, 2956, 28494, 51707, 13, 14235, 58065, 16111, 17790, 7219, 97703, 6395, 13, 15687, 65836, 97703, 37699, 28086, 3457, 10316, 0, 151643, 1427, 730, 7750, 6538, 1863, 7581, 1570, 35103, 9089, 4443, 42477, 265, 12063, 89452, 11595, 16034, 9089, 17392, 1644, 50656, 304, 2694, 136142, 624, 80593, 33312, 88487, 11, 2746, 7219, 14322, 590, 15671, 13279, 73360, 12, 2030, 46069, 343, 28122, 277, 50656, 7180, 18520, 74303, 22385, 274, 39563, 11, 40500, 6498, 529, 2746, 8907, 1704, 1991, 268, 3662, 52028, 2694, 73360, 86, 61811, 320, 37762, 73360, 8, 37699, 2746, 1527, 21062, 2649, 2185, 6538, 4443, 896, 4079, 1960, 94678, 627, 10157, 602, 268, 5451, 220, 20, 15, 78233, 2694, 40866, 11, 53129, 5451, 220, 20, 15, 15, 19461, 13, 12741, 12307, 59380, 380, 7180, 3360, 343, 25444, 1579, 1863, 7581, 1570, 8896, 5451, 3371, 70165, 500, 1587, 627, 268, 1863, 2537, 68876, 46668, 69342, 732, 15967, 3819, 13, 8408, 70165, 500, 1587, 627, 268, 66238, 9089, 17392, 15577, 10928, 13279, 96976, 17392, 1644, 50656, 2030, 13906, 60297, 24929, 11, 22075, 97144, 472, 90360, 91304, 17917, 12643, 13, 55448, 89423, 37400, 2030, 10230, 20048, 7219, 2429, 16821, 477, 668, 6969, 32863, 12643, 13, 45481, 9820, 7553, 1574, 70165, 3487, 15719, 1863, 2537, 22665, 41658, 304, 2694, 136142, 32175, 41101, 267, 2030, 19767, 40462, 14686, 268, 458, 2746, 22539, 66107, 38486, 12380, 883, 2956, 85, 461, 529, 12643, 13, 1863, 7581, 1570, 70165, 500, 1587, 627, 268, 27298, 1531, 304, 88687, 39292, 268, 25, 10712, 70165, 65, 21558, 811, 11, 2655, 642, 83598, 12, 2120, 1587, 627, 273, 2015, 12385, 42759, 12032, 423, 41137, 54102, 94678, 627, 83, 9995, 375, 13, 8495, 66238, 13279, 57803, 927, 2956, 12032, 14840, 6395, 220, 20, 11, 21, 15, 6212, 932, 9089, 17392, 15577, 2030, 141963, 24855, 61897, 20005, 74303, 22385, 13, 20060, 74354, 309, 5999, 2746, 11386, 383, 26141, 39848, 14033, 13279, 16742, 11, 25714, 71832, 2030, 84247, 11, 51939, 13279, 1863, 7581, 1570, 26949, 3818 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 84732, 2694, 74303, 22385, 2746, 57803, 325, 542, 449, 3591, 89, 9820, 56381, 30976, 273, 13, 70407, 36108, 65078, 10561, 2391, 28852, 1960, 27801, 2142, 355, 47008, 9089, 2746, 70165, 500, 1587, 627, 268, 5451, 37357, 6433, 8536, 901, 3092, 268, 53383, 48414, 2030, 10928, 3491, 2301, 304, 80378, 77200, 37400, 268, 85104, 45258, 13, 33328, 44340, 5999, 2694, 25714, 71832, 19767, 9820, 7357, 9179, 49662, 83801, 49241, 22157, 2714, 832, 17917, 13, 33328, 60297, 13279, 5362, 12, 2030, 467, 471, 28122, 277, 50656, 5999, 8725, 4368, 90796, 7272, 1634, 78881, 13, 96520, 28095, 76, 54988, 4937, 220, 23, 15, 45506, 64857, 87479, 6538, 1863, 7581, 1570, 7180, 141963, 5342, 98060, 2030, 74303, 22385, 13, 758, 72440, 47669, 730, 7750, 548, 90930, 17029, 6616, 61197, 4368, 4443, 42477, 40334, 288, 69342, 14906, 76, 11, 9421, 2429, 9089, 7180, 94572, 1527, 87227, 2185, 4368, 3360, 4500, 14033, 35103, 73741, 11, 6616, 141963, 5342, 74303, 22385, 5436, 649, 4865, 13, 151643, 75919, 36702, 6538, 8394, 10761, 760, 12408, 7946, 198, 48047, 3457, 10316, 6975, 25494, 11, 14948, 16111, 28095, 10928, 39771, 6538, 8394, 10761, 11, 77012, 80378, 386, 5503, 370, 2305, 372, 7522, 9421, 55190, 11, 93096, 17630, 27484, 70407, 2429, 49342, 53835, 16111, 53555, 393, 1489, 15141, 89, 7522, 11, 2746, 8641, 6395, 425, 2305, 27899, 1059, 276, 86, 70487, 56945, 13, 61043, 485, 8394, 10761, 5999, 1083, 48803, 6569, 318, 2718, 18520, 13, 16887, 12222, 40870, 24440, 1531, 18599, 267, 11, 8394, 10761, 5999, 6616, 220, 16, 15, 13, 425, 2305, 372, 7522, 6538, 7746, 11, 304, 2694, 294, 12153, 83141, 383, 89508, 35, 198, 19957, 10928, 13279, 7519, 17281, 685, 18060, 9089, 39771, 13, 38747, 20048, 16111, 95524, 53555, 1081, 2391, 811, 393, 1489, 276, 5679, 26956, 7995, 77, 13, 18069, 7519, 509, 329, 26833, 372, 14821, 4759, 14047, 5166, 93539, 26587, 14840, 6395, 220, 17, 15, 52539, 66723, 2030, 93096, 6395, 3371, 68730, 1371, 2375, 365, 31573, 11759, 13, 14235, 35141, 7519, 17281, 685, 72170, 17790, 4368, 293, 1038, 7522, 289, 70487, 13, 36574, 2746, 7519, 509, 329, 453, 1489, 276, 5679, 17837, 1960, 10712, 58052, 86, 2391, 331, 21339, 2030, 773, 20048, 16111, 83835, 28086, 47553, 26252, 39771, 4182, 1137, 10207, 28698, 27484, 151643, 76491, 1371, 45515, 1937, 34711, 2030, 45515, 48414, 11, 760, 22138, 277, 64321, 2576, 22097, 632, 68, 7180, 2746, 20795, 44, 7671, 59378, 56539, 343, 1960, 198, 623, 265, 1579, 29413, 11595, 11397, 198, 325, 275, 48614, 81616, 295, 9089, 6616, 35672, 1579, 385, 35541, 2694, 20795, 44, 15843, 337, 1937, 641, 12495, 1079, 9542, 331, 363, 15843, 79870, 372, 732, 30817, 320, 52, 7671, 1466, 16719, 1055, 3303, 81, 3389, 4509, 6138, 304, 2694, 32618, 301, 53382, 7219, 2429, 730, 79870, 28852, 90360, 13, 8408, 56815, 34271, 42603, 2694, 35346, 56539, 17246, 92182, 11, 3371, 25714, 71832, 939, 35672, 1579, 60931, 1127, 8793, 6395, 17324, 54749, 16030, 11, 26109, 48614, 8793, 304, 2746, 62467, 4443, 4188, 61007, 11, 572, 4368, 41663, 74063, 7180, 2746, 45515, 1937, 641, 12495, 5999, 624, 5830, 296, 39563, 34368, 15671, 35672, 1579, 10938, 5451, 141786, 6538, 45515, 1937, 641, 12495, 9421, 2694, 2739, 30180, 7671, 295, 7231, 1279, 901, 58498, 458, 2694, 4864, 12815, 2030, 2429, 11473, 1579, 85803, 68, 9820, 50790, 70, 20005, 35672, 1579, 29413, 2185, 624, 74909, 58065, 2746, 65733, 15795, 17519, 482, 2694, 81440, 510, 35, 3591, 46680, 25, 220, 16, 17, 25, 18, 15, 38183, 28523, 4443, 3371, 38580, 198, 44, 1442, 1126, 331, 25, 220, 24, 13, 15, 15, 38183, 16631, 36115, 132975, 939, 45464, 13785, 3371, 35672, 1579, 28789, 71225, 6222, 26862, 724, 11278, 11855, 137143, 365, 16754, 220, 17, 15, 15, 21, 5451, 2429, 46180, 6212, 541, 15843, 337, 48414, 134883, 8506, 258, 362, 7891, 5639, 198, 16, 16, 25, 18, 15, 38183, 1581, 87566, 268, 282, 21176, 16034, 1674, 2752, 1933, 39620, 265, 1579, 2030, 16034, 730, 79870, 372, 29311, 18841, 304, 3360, 6072, 11042, 198, 16, 23, 25, 18, 15, 38183, 12475, 25651, 939, 11473, 1579, 85803, 288, 732, 2739, 30180, 11278, 11855, 320, 306, 86, 7294, 19846, 261, 142418, 304, 2694, 64894, 2752, 5215, 4509, 13, 220, 18, 15, 12385, 46307, 423, 86, 61806, 6898, 70526, 1122, 68, 34581, 802, 220, 16, 15, 340, 36731, 94540, 25, 220, 16, 15, 38183, 28523, 6395, 422, 1854, 17562, 2030, 45444, 46, 46168, 6996, 59908, 304, 2746, 79374, 495, 624, 23950, 46680, 25, 35672, 1579, 6222, 14225, 12, 37361, 53383, 5451, 3371, 1674, 2752, 1933, 15843, 337, 1937, 641, 12495, 668, 220, 16, 22, 38183, 732, 65671, 730, 41227, 11, 2410, 278, 9160, 495, 13, 220, 24, 21, 304, 29618, 5197, 7725, 13, 12741, 30512, 1902, 331, 1854, 939, 2126, 134291, 440, 423, 4554, 87083, 14821, 17312, 35672, 1579, 29159, 57849, 38132, 74191, 624, 86819, 31915, 2391, 426, 468, 1387, 30632, 41557, 4443, 22138, 277, 36614, 799, 77131, 11595, 2030, 481, 9433, 33827, 13, 141196, 43243, 5183, 9089, 2746, 45515, 1937, 641, 12495, 13785, 595, 10523, 65501, 2823, 21561, 70668, 3457, 10316, 1365, 1083, 11, 22075, 35783, 5331, 24803, 11, 37471, 901, 89097, 11, 26349, 766, 59391, 1536, 2712, 406, 11, 2746, 13279, 3371, 35672, 1579, 19875, 7906, 723, 85885, 43243, 5183, 11, 24929, 978, 47631, 9911, 458, 2030, 70430, 295, 468, 1387, 0, 151643, 2082, 709, 6331, 66124, 25, 19833, 360, 4942, 60404, 5342, 320, 19617, 72, 23647, 8, 19833, 360, 4942, 773, 59380, 15897, 273, 1389, 10559, 60404, 5342, 2823, 709, 4905, 28122, 267, 14033, 1960, 98675, 7219, 431, 30875, 932, 13411, 2055, 89, 19893, 60404, 5342, 28275, 24950, 20542, 927, 321, 1859, 5363, 72, 23647, 1126, 71, 18759, 54708, 5363, 72, 23647, 37137, 1440, 2055, 59380, 91009, 10358, 5963, 9034, 60404, 267, 320, 19617, 72, 23647, 8, 2055, 59380, 20155, 268, 16629, 13977, 261, 32618, 351, 267, 16053, 19833, 50735, 465, 60404, 267, 320, 44, 724, 7522, 5451, 14612, 5744, 2185, 8, 2263, 63923, 29937, 5016, 6566, 267, 29898, 484, 50958, 28551, 64786, 2185, 16840, 2375, 13977, 1960, 320, 42, 5744, 5451, 14612, 5744, 2185, 8, 2055, 59380, 91009, 10358, 5963, 9034, 60404, 267, 320, 44, 724, 7522, 5451, 14612, 5744, 2185, 8, 52795, 383, 545, 320, 44, 724, 7522, 5451, 14612, 5744, 2185, 8, 19833, 50735, 465, 60404, 267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 320, 44, 724, 7522, 5451, 8671, 32708, 9740, 9855, 1180, 2185, 8, 2055, 59380, 91009, 10358, 5963, 1528, 60404, 5342, 320, 44, 724, 7522, 5451, 8671, 32708, 9740, 9855, 1180, 2185, 8, 52795, 383, 545, 320, 44, 724, 7522, 5451, 8671, 32708, 9740, 9855, 1180, 2185, 8, 28462, 3591, 6566, 440, 320, 42, 5744, 8, 1260, 321, 79, 30875, 54080, 16053, 12, 696, 26498, 10559, 18069, 36702, 2185, 320, 42, 5744, 8, 90167, 37137, 1440, 43999, 28551, 64786, 2185, 2055, 59380, 696, 26498, 10559, 350, 1134, 901, 89097, 52795, 383, 545, 320, 42, 5744, 8, 90167, 75323, 1859, 1674, 1960, 15897, 1937, 59378, 1111, 28462, 3591, 6566, 440, 320, 41, 768, 408, 8, 1260, 321, 79, 30875, 54080, 16053, 12, 696, 26498, 10559, 18069, 36702, 2185, 320, 41, 768, 408, 8, 90167, 37137, 1440, 90167, 58864, 2055, 59380, 696, 26498, 10559, 350, 1134, 901, 89097, 52795, 383, 545, 320, 41, 768, 408, 20005, 8, 1032, 71, 1370, 306, 10721, 10315, 57, 320, 20, 5477, 6703, 8, 23334, 54942, 285, 25, 220, 20, 13136, 220, 16, 15, 13136, 220, 20, 15, 13136, 220, 16, 15, 15, 13136, 220, 17, 15, 15, 13136, 220, 16, 15, 15, 15, 13136, 198, 14419, 46, 2590, 198, 50855, 12583, 12412, 510, 3479, 61065, 38981, 90940, 64732, 198, 1806, 82, 485, 10991, 92918, 7180, 198, 47095, 34711, 2030, 5363, 72, 23647, 198, 44, 724, 7522, 5451, 14612, 5744, 2185, 198, 44, 724, 7522, 5451, 8671, 32708, 9740, 9855, 1180, 2185, 198, 42, 5744, 198, 41, 768, 408, 20005, 2030, 63657, 9740, 86, 86873, 1952, 198, 42, 5744, 2030, 63657, 42786, 5451, 83758, 3667, 9740, 9855, 1180, 2185, 198, 86819, 9421, 86, 85242, 47095, 34711, 2030, 5363, 72, 23647, 44, 724, 7522, 5451, 14612, 5744, 2185, 44, 724, 7522, 5451, 8671, 32708, 9740, 9855, 1180, 2185, 42, 5744, 41, 768, 408, 20005, 2030, 63657, 9740, 86, 86873, 1952, 42, 5744, 2030, 63657, 42786, 5451, 83758, 3667, 9740, 9855, 1180, 2185, 198, 18175, 362, 22681, 304, 11461, 268, 198, 3430, 89, 404, 2787, 423, 7053, 11461, 268, 198, 38, 59378, 37347, 198, 18175, 29618, 285, 22328, 90360, 2694, 362, 22681, 11461, 268, 198, 4106, 351, 16030, 304, 2694, 362, 22681, 198, 14419, 46, 143562, 198, 54370, 45288, 291, 12643, 198, 42, 544, 9913, 198, 40667, 198, 623, 15671, 844, 92918, 198, 32, 24343, 695, 2185, 304, 2694, 42068, 4757, 198, 40667, 304, 2694, 42068, 4757, 198, 36731, 72, 14387, 51663, 2055, 89, 32788, 37419, 609, 46307, 97369, 14387, 343, 408, 3591, 267, 198, 35641, 11687, 26956, 261, 7964, 4894, 86819, 9421, 86, 85242, 3430, 89, 404, 2787, 423, 7053, 11461, 268, 38, 59378, 37347, 18175, 29618, 285, 22328, 90360, 2694, 362, 22681, 11461, 268, 4106, 351, 16030, 304, 2694, 362, 22681, 14419, 46, 143562, 54370, 45288, 291, 12643, 42, 544, 9913, 623, 15671, 844, 92918, 32, 24343, 695, 2185, 304, 2694, 42068, 4757, 40667, 304, 2694, 42068, 4757, 36731, 72, 14387, 51663, 2055, 89, 32788, 37419, 609, 46307, 97369, 14387, 343, 408, 3591, 267, 35641, 11687, 26956, 261, 7964, 4894, 75919, 36702, 268, 9421, 6250, 7053, 2030, 18069, 36702, 11595, 198, 90940, 64732, 198, 5632, 77, 14047, 730, 37473, 25, 12448, 42161, 12448, 14373, 25, 362, 22681, 11461, 268, 7577, 72, 14387, 7256, 320, 672, 78, 1455, 21140, 8, 14373, 25, 362, 22681, 44492, 2185, 14357, 306, 10721, 12475, 1960, 75858, 320, 672, 78, 1455, 21140, 8, 14373, 25, 90167, 20005, 2030, 63657, 9740, 86, 86873, 1952, 14373, 25, 43999, 320, 672, 78, 1455, 21140, 8, 14373, 25, 42786, 5451, 17058, 14612, 5744, 2185, 320, 672, 78, 1455, 21140, 8, 14373, 25, 42786, 5451, 8671, 32708, 9740, 9855, 1180, 2185, 320, 672, 78, 1455, 21140, 8, 14373, 25, 1032, 4223, 15843, 79870, 32895, 277, 16676, 71, 2956, 383, 320, 672, 78, 1455, 21140, 8, 14373, 25, 5363, 72, 23647, 320, 672, 78, 1455, 21140, 8, 14373, 25, 6250, 7053, 320, 672, 78, 1455, 21140, 340, 14373, 25, 362, 22681, 5363, 72, 23647, 37137, 10721, 87724, 3591, 28736, 320, 19617, 72, 23647, 340, 14367, 325, 1763, 55632, 2185, 481, 11426, 11461, 268, 481, 467, 2391, 3342, 870, 7725, 198, 47, 7012, 925, 18330, 2446, 1715, 60002, 609, 77, 1279, 9338, 896, 2015, 56027, 220, 15, 22, 13, 15, 19, 13, 17, 15, 17, 15, 198, 14373, 25, 362, 22681, 34935, 7276, 473, 1536, 6222, 331, 360, 15314, 47572, 320, 44, 724, 7522, 5451, 14612, 5744, 2185, 340, 2623, 13464, 28551, 64786, 2185, 198, 76491, 1371, 3984, 4160, 11, 44367, 18069, 36702, 2185, 5999, 41488, 220, 16, 21, 13, 15, 18, 13, 17, 15, 17, 15, 7219, 59785, 2694, 1527, 539, 2185, 939, 11426, 288, 11461, 268, 12, 467, 2391, 3342, 870, 7725, 25620, 76166, 13, 55448, 304, 3371, 506, 3667, 802, 3591, 5999, 9820, 2806, 13464, 28551, 64786, 2185, 7180, 9338, 896, 2015, 56027, 220, 15, 21, 13, 15, 19, 13, 17, 15, 17, 15, 198, 14373, 25, 362, 22681, 5363, 72, 23647, 37137, 10721, 3303, 794, 329, 790, 838, 320, 19617, 72, 23647, 340, 2623, 52549, 2714, 33339, 16053, 12, 506, 3667, 2203, 7180, 2746, 21491, 65, 15795, 198, 30416, 11937, 88028, 7219, 59785, 2694, 97268, 68378, 1962, 10453, 62785, 18078, 33827, 13785, 65435, 932, 50837, 12583, 11, 33661, 44367, 13017, 64786, 28122, 395, 18128, 258, 45893, 730, 4775, 7219, 2746, 13804, 68, 11, 5451, 66482, 37210, 2267, 1194, 9, 34711, 34542, 709, 28011, 301, 665, 9338, 896, 2015, 56027, 220, 15, 18, 13, 15, 19, 13, 17, 15, 17, 15, 198, 14373, 25, 362, 22681, 5363, 72, 23647, 37137, 10721, 65455, 72, 97528, 2636, 12, 1519, 318, 320, 19617, 72, 23647, 340, 66188, 17108, 11, 53672, 12487, 18060, 12236, 1112, 12222, 582, 71, 11, 22075, 2714, 55813, 2994, 22539, 65935, 68573, 13, 78021, 18520, 10712, 5016, 811, 485, 4370, 2030, 67179, 331, 1411, 84642, 647, 70551, 7522, 41220, 8793, 1147, 590, 22925, 13, 12166, 1296, 38809, 97476, 13820, 2714, 9089, 28789, 2869, 21558, 2718, 458, 11, 4443, 5451, 58442, 74354, 373, 328, 1777, 9338, 896, 2015, 56027, 220, 15, 17, 13, 15, 19, 13, 17, 15, 17, 15, 198, 14373, 25, 362, 22681, 5363, 72, 23647, 37137, 10721, 20644, 27097, 1933, 320, 19617, 72, 23647, 340, 48047, 95723, 53383, 4894, 87876 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 56381, 82557, 355, 87227, 2185, 25, 19000, 22318, 29937, 18078, 53152, 423, 6331, 11, 4443, 44367, 37210, 2267, 1194, 34711, 2030, 37210, 2267, 1194, 13906, 17058, 1527, 5342, 377, 2185, 5451, 2429, 60229, 19625, 16972, 6395, 5699, 28658, 5679, 11, 5999, 31357, 512, 37347, 68378, 481, 57465, 39337, 7180, 2746, 9338, 896, 2015, 56027, 220, 15, 17, 13, 15, 19, 13, 17, 15, 17, 15, 198, 14373, 25, 362, 22681, 5363, 72, 23647, 37137, 10721, 87724, 3591, 28736, 320, 19617, 72, 23647, 340, 14419, 46, 88128, 37633, 87724, 3591, 28736, 198, 623, 2956, 76712, 8495, 304, 77012, 47669, 88128, 37633, 87724, 3591, 28736, 13, 18069, 58459, 1194, 28831, 1621, 38013, 304, 9919, 14668, 6538, 60229, 13, 3578, 55248, 12412, 1059, 29159, 88551, 624, 896, 2015, 56027, 220, 15, 16, 13, 15, 19, 13, 17, 15, 17, 15, 198, 14373, 25, 362, 22681, 5363, 72, 23647, 37137, 10721, 65455, 72, 97528, 2636, 12, 1519, 318, 320, 19617, 72, 23647, 340, 70194, 2694, 2869, 21558, 2718, 6975, 1147, 360, 15938, 12236, 1112, 24929, 3457, 10316, 9089, 71765, 2746, 2502, 27899, 13, 23980, 288, 4179, 665, 1374, 25892, 277, 9421, 16402, 89, 1081, 134215, 83, 2746, 9970, 54834, 304, 2694, 6452, 89, 135786, 13, 25714, 17058, 28275, 2257, 2024, 2391, 665, 12583, 71765, 62702, 467, 66107, 1528, 458, 2746, 33328, 48985, 94873, 19875, 537, 17029, 13, 38747, 5999, 1112, 151643, 77, 610, 2429, 10638, 28086, 41983, 46872, 732, 2739, 71, 29802, 1517, 285, 6395, 88787, 11596, 27684, 21176, 9544, 11, 2030, 8652, 2241, 77, 25531, 308, 28658, 89, 37633, 11552, 1690, 3893, 42316, 17630, 11, 6395, 8641, 10638, 48803, 85580, 89, 2660, 331, 9544, 51290, 62788, 34685, 24803, 11, 9544, 10638, 37699, 12412, 17837, 437, 295, 2030, 13279, 17443, 66555, 198, 1241, 10638, 35141, 73689, 6616, 5999, 66793, 4368, 505, 354, 7219, 57184, 8166, 607, 64, 26824, 2030, 68876, 41235, 4399, 2503, 566, 383, 198, 704, 6616, 4116, 1531, 34368, 14649, 6538, 8652, 11, 305, 1847, 68, 24440, 41488, 4081, 11855, 78, 51327, 3848, 61286, 275, 13368, 304, 3371, 84701, 323, 932, 2241, 77, 320, 33297, 56530, 27298, 1531, 25531, 58319, 2746, 5699, 60322, 549, 3318, 32997, 2746, 77654, 873, 9101, 440, 458, 26769, 732, 348, 6215, 355, 19104, 2694, 2656, 68573, 8652, 24929, 10246, 652, 51939, 10638, 77654, 34368, 2030, 5699, 265, 23549, 24929, 572, 198, 31, 1180, 81, 4527, 549, 6616, 42759, 3342, 9089, 40157, 17859, 458, 198, 83, 332, 10928, 2746, 2922, 75, 10559, 9814, 81804, 645, 30, 65836, 3845, 8652, 51939, 9820, 2551, 6538, 17443, 3986, 817, 8072, 1147, 3101, 46646, 47008, 30, 9101, 440, 4726, 25, 33700, 7845, 10638, 2746, 259, 424, 8641, 198, 383, 383, 1083, 220, 16, 32, 16, 40870, 15719, 55928, 6853, 1268, 261, 572, 458, 42477, 268, 30, 51939, 2746, 3041, 1371, 82207, 10638, 7364, 8793, 8641, 773, 84187, 13920, 198, 5580, 2694, 2922, 75, 10559, 9814, 259, 6128, 2770, 64, 3760, 10928, 11, 305, 2863, 12754, 1777, 2994, 54383, 94919, 829, 87262, 1126, 320, 318, 2614, 3104, 541, 2694, 29003, 12063, 13368, 7219, 409, 68413, 9421, 73869, 151643, 53, 316, 20404, 42189, 2694, 42786, 2030, 70264, 1923, 336, 481, 467, 2749, 51, 198, 53, 316, 20404, 42189, 2694, 42786, 2030, 70264, 1923, 336, 198, 53, 263, 11959, 2577, 48682, 54956, 760, 6250, 91712, 37633, 1079, 220, 16, 15, 13, 15, 17, 13, 17, 15, 15, 15, 760, 11615, 291, 27097, 25, 220, 19, 80624, 198, 37326, 15017, 370, 544, 82, 330, 785, 7840, 38597, 497, 2694, 72170, 37228, 80587, 1942, 408, 5342, 16631, 34699, 2746, 350, 2539, 495, 5645, 198, 623, 64, 1862, 140600, 25423, 25151, 23185, 18634, 11, 28874, 11, 220, 16, 24, 18, 20, 13, 1674, 642, 39264, 59228, 22539, 2267, 42469, 34417, 7219, 2429, 58583, 15111, 9913, 11, 2694, 7840, 38597, 13, 9236, 12583, 8793, 12304, 1863, 15671, 9057, 61007, 481, 2030, 9820, 14821, 47553, 83423, 25, 1644, 2892, 425, 3248, 65, 1942, 8896, 59228, 49633, 36702, 2185, 16892, 823, 2636, 75, 57984, 624, 80593, 3371, 467, 13977, 465, 6898, 10349, 21873, 320, 24732, 472, 4039, 8, 2030, 38897, 57519, 58442, 21506, 41137, 1960, 45515, 48414, 3161, 406, 11, 26252, 54459, 11, 9820, 28831, 74539, 465, 1527, 66423, 968, 11595, 13, 9236, 69499, 8793, 12222, 11, 2746, 10489, 65, 20005, 27914, 383, 7219, 2694, 7840, 38597, 6395, 26956, 21176, 11, 51290, 10928, 11, 425, 3248, 2313, 5016, 54913, 7180, 5016, 54913, 7219, 19349, 68917, 288, 51292, 39307, 3371, 320, 258, 17058, 3680, 41137, 74, 66599, 21506, 709, 1323, 53776, 16315, 62788, 376, 17739, 794, 95174, 7180, 38897, 6250, 66671, 13906, 89, 392, 485, 14668, 11, 40870, 2746, 49633, 36702, 2185, 56354, 89, 11706, 12643, 15719, 624, 53750, 22079, 70251, 396, 9089, 7180, 82, 9740, 5342, 8793, 76133, 11759, 6395, 47008, 25, 2746, 1527, 86, 65935, 22385, 36108, 96120, 25061, 467, 2305, 3342, 388, 11, 74686, 44856, 6384, 320, 91576, 59687, 3335, 701, 36108, 21864, 21673, 30681, 37122, 11, 3371, 883, 28086, 96976, 267, 6538, 36744, 3877, 268, 82195, 406, 95035, 11, 68573, 2714, 8793, 2694, 4182, 27969, 939, 479, 14826, 811, 1723, 13, 44856, 6384, 357, 51817, 357, 130337, 6616, 855, 74, 46686, 6250, 71, 29802, 1517, 285, 47226, 3371, 6250, 324, 55632, 1960, 2030, 52716, 13070, 74, 932, 624, 641, 23185, 18634, 12583, 143525, 2746, 467, 31573, 465, 939, 58583, 15111, 585, 2576, 55248, 97973, 6616, 49633, 36702, 2185, 46590, 11, 2746, 6250, 324, 55632, 1960, 17630, 1083, 357, 130337, 34749, 386, 9416, 1107, 13906, 4928, 268, 13, 10349, 21873, 2030, 38897, 1967, 1070, 2770, 43506, 268, 12304, 458, 2746, 1032, 331, 13730, 68947, 50499, 2694, 350, 2539, 495, 5645, 13, 74303, 11, 42786, 6395, 63573, 1960, 11, 5999, 11316, 74764, 11, 2030, 48803, 336, 6538, 74021, 27684, 78120, 1531, 11, 40157, 77016, 35141, 1531, 11937, 37896, 624, 80515, 328, 4865, 2694, 422, 17707, 12709, 303, 529, 9089, 11, 10712, 883, 3757, 75133, 1195, 320, 25516, 42555, 41309, 701, 15462, 81828, 5679, 68885, 277, 72964, 6538, 4937, 40462, 52539, 24396, 12070, 343, 11, 7219, 2694, 7840, 38597, 4368, 75, 4738, 529, 13, 9236, 3161, 406, 9820, 28831, 2694, 9919, 28324, 2030, 467, 7995, 11, 2030, 2694, 9740, 2712, 406, 77, 15398, 25, 21982, 91513, 31722, 47226, 20404, 42189, 2030, 1032, 13920, 11, 6538 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2694, 61809, 16597, 2694, 95151, 1021, 2030, 2694, 92707, 8666, 25151, 39307, 21982, 36376, 268, 2694, 28831, 624, 37326, 15017, 370, 544, 82, 72943, 4079, 2185, 2280, 5186, 44861, 752, 1571, 20005, 18095, 15843, 287, 12, 2589, 10162, 330, 785, 7840, 38597, 1, 387, 709, 426, 8793, 38850, 301, 7964, 91265, 11, 3371, 4937, 12304, 96185, 16034, 61150, 350, 2539, 495, 5645, 37896, 13, 9740, 5693, 17029, 8793, 5699, 37633, 25769, 6772, 68995, 380, 16053, 481, 13368, 77556, 9354, 87215, 6, 72170, 2660, 258, 1659, 330, 28320, 2363, 39055, 1, 320, 16, 24, 24, 20, 8, 85922, 51290, 22539, 73233, 1728, 26824, 330, 332, 453, 16053, 312, 54327, 20491, 266, 6772, 3263, 15017, 370, 544, 39264, 1531, 8793, 15269, 372, 6395, 85239, 11, 14948, 2746, 350, 2539, 495, 5645, 84187, 13920, 2030, 98171, 325, 11, 51290, 14948, 9911, 31932, 331, 5999, 624, 80515, 13818, 367, 3161, 406, 5451, 17443, 25771, 13, 42079, 40462, 2694, 57519, 304, 2429, 16631, 472, 5137, 4865, 33748, 36408, 21519, 3342, 883, 11316, 11, 289, 1055, 5186, 9911, 83880, 2739, 324, 665, 2963, 47650, 481, 2694, 294, 98280, 2030, 49765, 665, 5699, 83090, 5999, 6975, 331, 36568, 343, 13, 78021, 2994, 8896, 9089, 2694, 16631, 28086, 85117, 13785, 3371, 11097, 2142, 355, 59801, 674, 268, 11, 2994, 39264, 1531, 96976, 267, 8793, 18520, 4443, 70777, 13368, 2746, 69590, 94213, 88185, 6538, 4599, 449, 404, 3342, 48521, 932, 11, 51290, 4443, 70264, 1923, 288, 11, 143525, 11, 4116, 372, 9089, 2694, 6538, 42786, 16540, 3696, 1963, 13820, 794, 38267, 8793, 1079, 55397, 53936, 136458, 37801, 265, 55339, 87231, 13, 4509, 37667, 6070, 529, 14821, 46668, 65010, 380, 22157, 58864, 19767, 57519, 49633, 36702, 11595, 481, 2030, 57519, 467, 7995, 11, 56354, 85426, 6538, 3757, 75133, 1195, 11, 2694, 1863, 2391, 709, 939, 1260, 321, 6433, 24986, 355, 11, 10588, 2030, 36108, 647, 73401, 9299, 461, 75702, 304, 9089, 72943, 396, 624, 18175, 61217, 49633, 36702, 2185, 77509, 11, 13368, 1531, 732, 330, 74244, 3104, 541, 1, 1187, 28421, 50926, 25, 12741, 7313, 258, 16769, 5999, 88748, 34966, 11, 2746, 1298, 15905, 324, 30005, 89131, 2770, 1587, 320, 1241, 5999, 28086, 5699, 4659, 76, 4081, 768, 568, 19000, 61217, 467, 7995, 8896, 51939, 10928, 39771, 4937, 81574, 86957, 25, 75133, 1195, 387, 24716, 275, 10349, 21873, 5451, 17443, 3893, 64177, 1960, 27794, 6538, 17443, 8867, 28480, 268, 1298, 267, 459, 273, 12487, 624, 83953, 72440, 54936, 14668, 467, 7995, 27298, 75133, 1195, 2694, 58583, 15111, 9913, 5655, 6433, 268, 47375, 1728, 355, 4392, 13, 619, 49603, 6616, 55397, 26252, 11, 14047, 27431, 44856, 6384, 9911, 304, 17058, 53936, 4929, 359, 268, 76178, 376, 1121, 3818, 8896, 13, 8408, 54936, 632, 49633, 36702, 2185, 77509, 11, 4116, 372, 2746, 350, 2539, 495, 5645, 7219, 17058, 3738, 380, 17739, 69028, 8793, 6395, 5198, 85885, 5999, 25, 8495, 14821, 26956, 355, 267, 60958, 17029, 481, 431, 1777, 3999, 85922, 9911, 88280, 529, 650, 408, 6772, 52287, 11, 2694, 23276, 331, 18607, 1440, 406, 1031, 331, 132684, 65, 6772, 304, 2429, 794, 95174, 13, 16887, 3184, 73508, 15017, 370, 544, 305, 41203, 44096, 1704, 25, 2363, 5999, 11, 13368, 2746, 467, 13977, 465, 2030, 9919, 68989, 11, 16034, 1345, 12032, 2739, 15408, 2501, 624, 57, 84, 53835, 5999, 19104, 10928, 11, 14948, 82664, 12222, 17058, 54831, 11, 12304, 38684, 19104, 1257, 554, 5840, 5451, 2739, 69046, 6772, 12583, 7180, 46668, 9167, 4407, 13, 23334, 3371, 98157, 2694, 42864, 8793, 6395, 2739, 1149, 89, 1960, 11, 1411, 4865, 10349, 21873, 2746, 49633, 36702, 2185, 8793, 668, 11, 1508, 1126, 17958, 2714, 1531, 48323, 263, 406, 95035, 624, 83953, 72440, 294, 12153, 467, 7995, 5699, 83090, 2112, 72442, 3757, 75133, 1195, 18520, 485, 42786, 273, 7964, 13, 29618, 1064, 12643, 25620, 76166, 11, 6616, 85227, 265, 20404, 42189, 289, 93908, 11, 2746, 42786, 20048, 8725, 12222, 17790, 289, 15113, 37060, 13, 43997, 24929, 2746, 294, 98280, 49633, 36702, 2185, 51528, 11, 8896, 883, 342, 7865, 406, 11, 14948, 2694, 23276, 331, 2746, 44966, 12222, 14198, 17029, 11, 60637, 8793, 13785, 9911, 2739, 30166, 5178, 26, 14948, 2746, 20404, 295, 2986, 2694, 42786, 12222, 72077, 367, 268, 2694, 9911, 4443, 42153, 19875, 44966, 12583, 2030, 14948, 6616, 1032, 13920, 2694, 42786, 6616, 20404, 42189, 50041, 1345, 1330, 2030, 467, 14348, 724, 12222, 63573, 1960, 15719, 13, 151643, 16, 65316, 220, 24, 481, 479, 1070, 80072, 29445, 301, 3504, 16947, 5475, 198, 18175, 37210, 2267, 1194, 8403, 355, 1574, 1011, 14047, 2694, 59214, 1020, 2185, 198, 16, 2055, 26109, 38805, 6778, 14047, 59228, 328, 573, 2752, 2714, 14847, 267, 2030, 732, 61169, 21673, 6250, 50591, 25151, 2694, 141774, 7256, 6538, 6778, 7219, 45061, 73461, 13, 1205, 321, 2746, 37210, 2267, 1194, 939, 141775, 40334, 82, 57461, 9089, 6538, 68009, 668, 37285, 437, 83, 83572, 11, 47650, 9911, 14047, 63578, 3591, 304, 2746, 59214, 1020, 2185, 27684, 21558, 3342, 624, 17, 8408, 9740, 15795, 11, 2746, 6538, 52434, 49503, 81112, 1960, 2030, 9089, 26252, 7219, 71017, 9740, 6066, 288, 11042, 304, 57461, 8099, 1122, 301, 1960, 11, 43303, 1967, 1070, 9421, 2429, 42514, 39307, 27785, 5191, 11, 27022, 14668, 2030, 19944, 783, 72, 798, 624, 10722, 89, 81, 220, 17, 25, 16, 26, 4182, 220, 22, 25, 21, 340, 18, 16354, 1127, 10246, 26824, 9089, 304, 25445, 9443, 58773, 1967, 1070, 9421, 3371, 794, 2305, 3821, 268, 57461, 11, 29311, 11, 468, 42289, 37572, 76, 2030, 2363, 13256, 308, 22181, 510, 19, 20004, 2429, 794, 8666, 57461, 25, 17139, 2143, 11, 2694, 2055, 24134, 3303, 76, 6996, 27988, 26, 2714, 357, 309, 2501, 13785, 18603, 461, 11, 2362, 461, 2030, 425, 5559, 6538, 11213, 300, 2055, 24134, 49365, 668, 280, 20, 6538, 3371, 28275, 42789, 6538, 11213, 300, 2055, 24134, 5016, 8294, 25, 1634, 19042, 11, 2694, 9740, 267, 42153, 460, 811, 11, 16, 2030, 38897, 328, 84251, 811, 280, 21, 6538, 3371, 28275, 42789, 6538, 11213, 300, 2055, 24134, 8245, 610, 25, 619, 12179, 84, 73453, 13, 76604, 5451, 52716, 3240, 2391, 67, 932, 43303, 1531, 220, 21, 24, 15, 624, 22, 20004, 2429, 794, 8666, 29311, 25, 328, 541, 84, 11, 2694, 2055, 24134, 35584, 331, 617, 4122, 26, 38897, 30632, 268, 647, 32842, 21176, 43303, 50934, 672, 5580 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2030, 328, 1481, 64, 280, 23, 619, 579, 811, 5580, 11, 2694, 2055, 24134, 8403, 2267, 4122, 26, 3984, 64, 11, 2694, 2055, 24134, 6538, 3985, 72, 2030, 2925, 17659, 6538, 5271, 461, 26, 35584, 331, 617, 309, 11, 2694, 2055, 24134, 6538, 5016, 823, 266, 5580, 26, 38897, 30632, 268, 647, 32842, 21176, 43303, 3184, 84, 73453, 2030, 619, 579, 77, 28130, 624, 24, 76604, 5451, 52716, 3240, 2391, 67, 932, 2030, 14047, 52716, 328, 573, 2752, 43303, 1531, 220, 24, 20, 21, 328, 573, 2752, 5923, 127533, 7564, 261, 624, 16, 15, 42079, 3371, 48903, 932, 25, 65132, 19042, 11, 10946, 19033, 579, 11, 619, 610, 258, 280, 16, 16, 1634, 277, 5580, 11, 2694, 2055, 24134, 6538, 472, 33163, 28130, 11, 6616, 51145, 71, 51898, 939, 19944, 2010, 26, 38897, 30632, 268, 647, 32842, 21176, 43303, 35584, 331, 617, 309, 11, 1863, 329, 562, 11, 8755, 1630, 354, 2030, 16366, 275, 392, 280, 16, 17, 2410, 19042, 11, 2694, 2055, 24134, 8403, 2267, 4122, 26, 38897, 30632, 268, 647, 32842, 21176, 43303, 24010, 331, 71, 324, 2030, 97891, 28130, 26, 19868, 2143, 11, 2694, 2055, 24134, 2410, 127180, 4730, 26, 38897, 30632, 268, 647, 32842, 21176, 43303, 619, 610, 799, 64, 11, 35584, 331, 617, 309, 11, 35584, 331, 321, 3433, 354, 2030, 2362, 1174, 624, 16, 18, 76604, 5451, 52716, 3240, 2391, 67, 932, 43303, 1531, 220, 16, 22, 21, 15, 328, 573, 2752, 5923, 127533, 7564, 261, 11, 12304, 56946, 21519, 17917, 16034, 60404, 267, 732, 47375, 479, 48253, 624, 16, 19, 42079, 3371, 27022, 14668, 25, 328, 2407, 19042, 6538, 2694, 2825, 58498, 8755, 2780, 11, 38897, 647, 32842, 21176, 43303, 11443, 331, 392, 11, 1634, 20411, 309, 2030, 11443, 331, 370, 5580, 280, 16, 20, 35669, 69822, 277, 11, 6252, 59378, 11, 10620, 278, 2030, 13374, 93951, 11, 2694, 2055, 24134, 6538, 69920, 2030, 2925, 17659, 6538, 328, 713, 461, 11, 17443, 28275, 42789, 1634, 71498, 280, 16, 21, 3680, 3235, 11, 2694, 2055, 24134, 6538, 5016, 8666, 4284, 2030, 2925, 17659, 6538, 10620, 278, 11, 4368, 28275, 22097, 2660, 65132, 332, 10862, 26, 43157, 331, 5580, 11, 2694, 2055, 24134, 6538, 1634, 64, 2030, 2925, 17659, 6538, 87606, 3362, 11, 2694, 98877, 1923, 304, 3371, 328, 1122, 75, 11595, 6538, 9374, 1055, 64, 22539, 2267, 406, 42668, 624, 16, 22, 422, 39129, 2746, 8444, 86, 31573, 465, 25, 5016, 541, 372, 11, 16358, 74, 392, 11, 17589, 1645, 2030, 16366, 39210, 13, 35783, 51145, 71, 51898, 4116, 5016, 541, 372, 624, 16, 23, 1345, 482, 328, 573, 375, 26956, 15938, 14840, 16034, 566, 332, 6433, 12353, 6616, 141775, 47365, 7219, 2694, 65435, 61065, 13, 38472, 647, 32842, 21176, 17, 43303, 28789, 76716, 19767, 2746, 467, 2391, 5342, 2746, 8444, 86, 31573, 465, 732, 84758, 2694, 27022, 14668, 22539, 65935, 624, 16, 24, 55448, 3371, 60404, 267, 10712, 467, 31573, 465, 1079, 468, 287, 524, 939, 1260, 321, 6433, 1863, 301, 2338, 5436, 1466, 268, 5016, 541, 372, 2030, 2746, 98376, 53936, 328, 573, 375, 11, 64774, 2501, 6772, 28275, 42789, 35070, 86873, 26, 5016, 541, 372, 357, 8666, 665, 13785, 8062, 2030, 3680, 3473, 2577, 6538, 35070, 610, 668, 13, 38472, 647, 32842, 21176, 83572, 304, 2694, 467, 2391, 5342, 3371, 468, 287, 524, 16034, 84758, 939, 42250, 77, 26956, 15938, 280, 17, 15, 17471, 4648, 11, 2694, 2055, 24134, 25949, 300, 1561, 11, 4116, 24440, 51145, 71, 51898, 22539, 65935, 1365, 2694, 42250, 342, 14134, 440, 53936, 0, 18, 198, 17, 16, 1345, 1762, 5580, 11, 2694, 2055, 24134, 6538, 35584, 1528, 3433, 5580, 11, 4116, 8444, 71, 2391, 465, 1079, 468, 287, 524, 939, 1260, 321, 6433, 1863, 301, 2338, 624, 17, 17, 758, 1991, 288, 35225, 43303, 1531, 220, 17, 16, 17, 11, 2746, 6395, 8444, 86, 31573, 4160, 9421, 37285, 83049, 30179, 43303, 13, 8408, 8444, 86, 31573, 465, 43303, 304, 52716, 422, 9416, 78733, 304, 6616, 328, 573, 2752, 423, 50591, 25151, 48376, 295, 56364, 30179, 26, 6798, 2030, 2694, 36628, 31907, 83572, 9911, 304, 24440, 362, 2501, 384, 40399, 61007, 624, 17, 18, 8495, 2030, 34749, 328, 84251, 811, 2498, 268, 467, 1777, 458, 3371, 468, 287, 524, 4314, 77, 16034, 1260, 321, 6433, 1863, 3818, 2030, 87791, 16034, 19944, 301, 939, 42250, 77, 624, 17, 19, 8408, 467, 45699, 43303, 14047, 3371, 57093, 472, 12543, 2010, 36702, 11595, 7219, 6969, 32863, 11, 14047, 506, 15795, 11, 4312, 268, 11, 451, 27784, 2030, 77549, 5183, 624, 17, 20, 8408, 98376, 289, 2267, 42469, 304, 52716, 422, 9416, 78733, 2030, 3091, 15795, 16868, 68, 8669, 7180, 9911, 7964, 71177, 16034, 60404, 267, 54395, 1528, 16676, 11, 22075, 9911, 458, 2694, 83141, 383, 43303, 624, 17, 21, 56231, 2746, 57093, 91245, 15795, 467, 31573, 465, 11, 10928, 9911, 27022, 14668, 11, 43303, 357, 130337, 732, 60404, 267, 13, 60082, 52716, 25714, 83543, 29695, 9416, 665, 2746, 25714, 82, 4865, 13785, 2746, 647, 17391, 1862, 141292, 2030, 2746, 5016, 20175, 74, 8666, 932, 939, 19944, 2010, 624, 17, 22, 8495, 1501, 645, 7964, 10928, 13785, 98359, 732, 19944, 301, 61286, 713, 11, 51939, 9911, 3091, 15795, 467, 1777, 95723, 2030, 53165, 386, 39563, 2746, 350, 460, 7219, 138664, 624, 17, 23, 1597, 485, 27022, 14668, 43303, 2739, 69046, 6772, 7180, 2746, 19929, 2305, 665, 11, 2746, 28789, 479, 48253, 67, 3591, 267, 29167, 956, 32030, 47650, 13, 8495, 489, 68989, 9911, 668, 709, 89, 83049, 305, 482, 258, 2030, 14047, 44336, 956, 1387, 26252, 305, 2210, 355, 624, 17, 24, 467, 22181, 32936, 43303, 1147, 590, 130337, 7180, 2746, 95243, 6433, 19929, 2305, 665, 2030, 566, 321, 6433, 55857, 2305, 23455, 2030, 2739, 69046, 6772, 7180, 6616, 2157, 17958, 11, 3371, 70513, 11, 6616, 11959, 2071, 49802, 11, 3371, 1205, 6996, 956, 1387, 2030, 2746, 15687, 723, 79956, 68, 7180, 6616, 8211, 65, 49802, 624, 18, 15, 8408, 6252, 54377, 939, 8211, 135514, 4730, 9421, 50435, 794, 1847, 268, 4116, 60637, 25714, 61229, 2694, 27785, 5191, 624, 18, 16, 12741, 27022, 275, 13374, 275, 5580, 11, 2694, 34368, 42153, 460, 811, 2055, 24134, 939, 35070, 610, 77, 610, 42789, 5016, 541, 372, 11, 42668, 357, 130337, 67952, 6395, 274, 39563, 11, 14948, 6616 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6841, 58864, 7180, 2746, 12307, 1064, 453, 802, 1059, 6969, 32863, 26109, 624, 18, 17, 45481, 2746, 22539, 19972, 426, 268, 425, 5529, 11, 2746, 53165, 69246, 266, 7219, 709, 71168, 12643, 47827, 11, 43303, 63620, 54649, 794, 8666, 288, 1323, 2391, 1107, 6538, 3371, 28275, 42789, 730, 2636, 1862, 1147, 590, 130337, 624, 18, 18, 8408, 22638, 275, 17739, 328, 573, 2752, 11, 2746, 7180, 3371, 20404, 524, 1079, 19944, 301, 2739, 69046, 6772, 43303, 11, 289, 2267, 42469, 304, 3371, 730, 8666, 932, 1079, 19944, 301, 13, 8495, 43303, 6538, 47808, 38684, 57803, 387, 24716, 275, 11, 52507, 9911, 12353, 2030, 98359, 6395, 71017, 60404, 267, 26933, 275, 19349, 3091, 15795, 624, 18, 19, 42161, 2746, 4081, 276, 42469, 328, 573, 2752, 5923, 127533, 7564, 261, 11, 2746, 14047, 54649, 3680, 267, 8666, 2185, 6395, 3371, 27022, 14668, 29695, 9416, 1960, 11, 289, 2267, 42469, 3739, 1127, 304, 25445, 624, 53, 32842, 21176, 2030, 28275, 42789, 141775, 67524, 82, 198, 18, 20, 758, 479, 23549, 263, 19, 289, 2267, 23446, 619, 12179, 72, 73453, 11, 2694, 794, 8666, 85, 962, 31008, 54092, 13, 1345, 482, 51743, 305, 645, 7997, 11331, 51576, 345, 18, 21, 19349, 34368, 42153, 460, 1194, 2055, 24134, 4116, 3680, 15007, 11, 2746, 30632, 268, 328, 84251, 811, 43303, 25, 49192, 11, 730, 16053, 11, 14322, 278, 11, 65804, 11, 34662, 370, 345, 18, 22, 479, 24358, 11, 45565, 7305, 11, 1345, 9034, 2030, 42242, 9184, 280, 18, 23, 42242, 9184, 42668, 15462, 2055, 24134, 16449, 724, 5016, 7523, 13, 55448, 9911, 10246, 26824, 9089, 13368, 34749, 794, 8666, 288, 1323, 2391, 1107, 304, 25445, 308, 22181, 624, 18, 24, 12741, 2055, 24134, 451, 388, 4116, 3680, 1194, 11, 20, 2694, 2055, 24134, 6538, 730, 16053, 19104, 4116, 67524, 13, 8408, 328, 84251, 811, 67524, 82, 43303, 25, 12285, 16225, 11, 97891, 16053, 4284, 11, 3680, 258, 329, 370, 2030, 9236, 331, 4645, 278, 13, 21, 198, 19, 15, 12285, 266, 596, 2055, 24134, 4116, 8755, 579, 7671, 54342, 2030, 20624, 268, 2055, 24134, 69920, 624, 19, 16, 8408, 328, 84251, 811, 6538, 69920, 43303, 25, 38979, 263, 11, 2157, 273, 331, 11, 350, 610, 5213, 2030, 362, 4648, 624, 19, 17, 12741, 2055, 24134, 6538, 362, 4648, 305, 645, 7997, 10946, 718, 64, 11, 2030, 20624, 268, 328, 84251, 811, 43303, 25, 362, 3433, 295, 11, 1634, 76, 672, 295, 2030, 4467, 461, 13, 12741, 2055, 24134, 6538, 4467, 461, 4116, 6050, 4360, 198, 19, 18, 2030, 10712, 61550, 28275, 42789, 304, 31008, 8564, 645, 9443, 70, 1960, 25, 425, 2210, 11, 8550, 19042, 11, 3984, 15428, 2030, 15395, 301, 624, 19, 19, 15395, 301, 42668, 511, 55457, 328, 84251, 811, 25, 1634, 20411, 309, 11, 2516, 331, 2672, 11, 619, 16053, 1728, 73453, 11, 5016, 682, 5580, 11, 4657, 329, 5580, 2030, 20644, 276, 624, 16, 467, 38809, 9740, 267, 42153, 460, 1194, 11, 14821, 8793, 14410, 62713, 624, 17, 72848, 332, 6772, 1659, 58485, 20175, 26, 289, 51817, 6772, 8495, 624, 18, 54068, 794, 6712, 5999, 2694, 61217, 2823, 1937, 7180, 2746, 502, 2391, 4243, 1528, 28408, 665, 11, 13279, 2694, 451, 2667, 2185, 17058, 72943, 4079, 1960, 7357, 15462, 17209, 724, 86, 80791, 77868, 1704, 82040, 13, 151643, 24644, 13, 220, 17, 15, 16, 24, 19000, 1230, 74, 956, 332, 18607, 265, 41538, 9089, 13785, 541, 2030, 25531, 357, 13977, 7052, 304, 38500, 13, 5016, 263, 37357, 7256, 24385, 268, 20048, 9820, 2009, 2375, 645, 9421, 131807, 11759, 13, 42079, 72124, 14840, 73208, 220, 22, 624, 65835, 9089, 2746, 18069, 86, 8199, 22632, 1489, 276, 2986, 19833, 3630, 685, 17312, 55857, 15113, 7180, 2009, 2375, 24803, 80129, 3818, 13, 83234, 541, 2375, 3591, 25, 49371, 83820, 760, 83234, 776, 891, 2660, 69139, 437, 17454, 2285, 2823, 318, 24401, 17739, 36866, 28815, 74, 94133, 68102, 9089, 14047, 13207, 74, 870, 83234, 39720, 9913, 5451, 2429, 2009, 2375, 268, 80260, 20005, 11375, 417, 635, 13368, 431, 44226, 2185, 11, 5016, 9157, 2185, 2030, 619, 1942, 265, 449, 4368, 624, 50855, 384, 84858, 9089, 75590, 7180, 2746, 12709, 132894, 20005, 14612, 437, 37949, 6538, 60423, 3371, 24092, 276, 71832, 6538, 94844, 11, 31145, 2391, 325, 2030, 1422, 17739, 16447, 2305, 332, 932, 73741, 9089, 293, 5403, 51239, 978, 9151, 13, 1863, 87205, 5999, 34542, 32175, 4645, 2095, 94844, 2030, 31145, 2391, 325, 42046, 14410, 2391, 900, 13, 220, 17, 15, 13, 72124, 220, 17, 15, 16, 21, 20113, 40353, 11, 2009, 2375, 3591, 2030, 32936, 362, 870, 28129, 799, 9855, 1180, 11595, 26, 58009, 3848, 331, 1174, 5679, 87413, 436, 266, 1365, 1230, 74, 956, 332, 75752, 4865, 2185, 3563, 95283, 304, 47808, 386, 28865, 13, 75291, 261, 5999, 2714, 3275, 7865, 18955, 10712, 1230, 74, 956, 332, 47708, 34738, 13, 55448, 304, 77012, 93912, 75315, 883, 3371, 479, 4813, 331, 458, 773, 883, 7522, 68102, 2030, 8536, 7219, 82, 52639, 1365, 8793, 25531, 9544, 10638, 220, 16, 24, 13, 72124, 220, 17, 15, 16, 16, 9460, 460, 55339, 2030, 730, 2111, 635, 9421, 2429, 15854, 723, 2694, 393, 85660, 2024, 3885, 624, 33, 485, 1199, 9820, 25494, 342, 4671, 68, 23388, 37137, 2165, 304, 2694, 88049, 320, 69, 16074, 69, 14840, 220, 16, 15, 730, 9416, 1194, 462, 62549, 1579, 59422, 88049, 8, 312, 4865, 19833, 3630, 685, 76133, 267, 2009, 2375, 645, 9421, 25, 35536, 276, 883, 2746, 393, 1489, 276, 2986, 2714, 2712, 406, 5016, 263, 79409, 5342, 24385, 268, 76, 826, 268, 2694, 393, 1489, 276, 2986, 312, 28324, 7180, 9820, 1032, 67726, 9421, 11, 2030, 6616, 10928, 13279, 42786, 11, 2746, 13906, 1923, 8793, 19767, 9820, 2009, 2375, 645, 1656, 559, 295, 43303, 624, 54, 34966, 5999, 11, 22075, 8495, 6616, 1230, 74, 956, 332, 9421, 6969, 54536, 12385, 49933, 141943, 723, 17630, 11, 14948, 8495, 2746, 444, 91639, 14047, 82, 2305, 268, 13, 1527, 930, 15795, 98421, 2746, 55857, 15113, 11, 14948, 9089, 55248, 61550, 1230, 144004, 27951, 19833, 3630, 685, 393, 1489, 276, 2986, 88766, 40193, 2030, 49933, 141943, 30353, 1365, 29873, 1690, 34699, 6616, 8182, 30512, 82032, 724, 25, 42786, 11, 2746, 96042, 17790, 11316, 5451, 2009, 2375, 3591, 6395, 11460, 83572, 11, 20048, 7219, 2746, 19833, 3630, 685, 393 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1489, 276, 2986, 24401, 16053, 312, 351, 16030, 13, 9236, 5999, 1083, 12788, 20096, 294, 3292, 27684, 68, 275, 2030, 939, 49662, 93985, 12222, 9820, 74227, 7256, 90817, 13, 58534, 5451, 2429, 1230, 74, 956, 332, 13, 65911, 490, 6207, 5451, 19833, 3630, 685, 6222, 24774, 32387, 32030, 20404, 1241, 87818, 34586, 19833, 3630, 685, 481, 9740, 74, 40193, 2030, 70219, 141943, 30353, 481, 444, 69, 43, 8408, 2823, 20850, 7997, 2024, 14033, 376, 7256, 19833, 3630, 645, 5999, 4368, 1529, 300, 1524, 4182, 5127, 16415, 11, 2694, 13906, 77556, 220, 16, 20, 15, 45506, 9421, 29181, 15232, 11496, 384, 40399, 331, 62967, 417, 26109, 13, 46749, 18607, 265, 41538, 5999, 2746, 393, 1489, 276, 2986, 304, 137256, 535, 20128, 27557, 11, 23738, 9911, 10712, 27684, 5186, 13920, 95181, 1230, 74, 956, 332, 304, 4268, 86, 61811, 21673, 730, 10523, 77, 69499, 13, 1230, 74, 956, 332, 732, 58030, 268, 15792, 23118, 1850, 318, 5676, 609, 82195, 12495, 760, 220, 22, 6623, 1952, 3184, 17454, 1230, 74, 956, 332, 15719, 732, 566, 318, 17739, 93912, 2030, 732, 58030, 268, 16034, 48686, 1984, 932, 285, 12643, 624, 641, 19846, 50232, 4832, 9089, 6616, 1230, 74, 956, 332, 41488, 45506, 75590, 72170, 2030, 5282, 41538, 9089, 85104, 13977, 5840, 9421, 13, 16354, 275, 9911, 6538, 18302, 91450, 3524, 333, 449, 17029, 12643, 15719, 11, 77509, 6616, 1007, 33235, 6712, 89931, 44278, 37953, 330, 652, 3732, 2285, 1, 9820, 93898, 83141, 383, 6538, 44492, 932, 2694, 19833, 3630, 685, 2030, 41852, 265, 20319, 9421, 72313, 6772, 11, 458, 12442, 7522, 8755, 74, 14649, 268, 15687, 9911, 88766, 2667, 267, 13, 2009, 2375, 645, 34699, 393, 1489, 276, 5679, 760, 26692, 6862, 306, 13785, 20404, 1241, 22385, 7219, 600, 20324, 2009, 2375, 645, 15719, 12222, 19767, 24385, 16597, 15671, 939, 88765, 21673, 17518, 82, 2739, 1723, 15938, 12643, 11, 2746, 65733, 15795, 2543, 9510, 1268, 19875, 393, 1489, 276, 5679, 12583, 1501, 21558, 10938, 425, 2305, 3885, 11, 467, 550, 826, 125245, 799, 2030, 595, 494, 32820, 13820, 2126, 265, 577, 13, 55448, 13329, 344, 732, 24401, 17739, 17632, 811, 2694, 1198, 2724, 5918, 2030, 34506, 6433, 393, 1489, 276, 5679, 11, 1230, 144004, 27951, 11, 88748, 331, 83090, 2694, 10207, 2391, 13920, 343, 1960, 19833, 3630, 685, 13, 1230, 74, 956, 332, 5267, 17, 3847, 1588, 1431, 13, 22463, 512, 1371, 57669, 0, 3465, 553, 3651, 10566, 20, 15, 16, 264, 3942, 369, 220, 16, 16, 3951, 13, 1943, 279, 82747, 409, 4042, 12873, 82, 481, 42174, 7107, 41137, 2416, 4831, 3757, 20607, 39620, 3262, 301, 25, 330, 30124, 811, 40188, 6395, 94655, 4116, 41235, 350, 4738, 71865, 1, 481, 8224, 76, 17454, 11, 281, 1489, 91639, 11, 502, 8535, 25, 5347, 263, 91929, 36956, 665, 9089, 3757, 20607, 39620, 3262, 301, 4368, 37419, 8688, 13, 38747, 8151, 4865, 2714, 13785, 132678, 86, 16597, 29560, 86, 324, 27393, 74, 2649, 2127, 11, 3956, 4645, 416, 1230, 74, 956, 332, 2030, 2746, 467, 15546, 331, 14033, 38132, 6538, 350, 16030, 11, 22075, 883, 9911, 259, 44226, 295, 13, 12741, 5699, 4659, 76, 5342, 2009, 2375, 645, 11855, 131807, 799, 139906, 25, 54068, 393, 1489, 276, 2986, 289, 92975, 647, 24619, 3719, 24025, 5679, 20048, 24401, 10559, 1032, 67726, 268, 305, 648, 17391, 28421, 13, 78021, 3371, 5699, 4659, 76, 15795, 2009, 2375, 645, 11855, 131807, 799, 11321, 1960, 41983, 7364, 8793, 13, 51310, 393, 1489, 276, 2986, 289, 92975, 137943, 41544, 40896, 5840, 304, 66482, 479, 13977, 1960, 624, 20722, 13, 220, 17, 15, 16, 23, 49192, 647, 29886, 485, 50158, 93096, 2746, 87488, 10938, 44602, 268, 67660, 19985, 2185, 25, 44602, 268, 5296, 932, 11, 1230, 74, 956, 332, 82195, 12495, 2030, 40462, 69713, 13906, 2429, 393, 1489, 276, 5679, 3371, 220, 16, 13, 506, 5840, 13, 220, 17, 15, 16, 20, 19000, 10928, 10712, 330, 54, 20776, 20644, 69, 1, 61606, 23446, 1230, 74, 956, 332, 289, 92975, 88628, 40334, 304, 66482, 11427, 14668, 458, 58534, 12, 2030, 143089, 81, 57396, 77, 2030, 14821, 51637, 20868, 258, 10712, 17888, 65, 14410, 62713, 25, 33764, 73032, 2030, 62702, 4929, 2886, 13, 19000, 87583, 5999, 6975, 76171, 11, 50697, 704, 13368, 384, 552, 2869, 67726, 11, 384, 8801, 42851, 12385, 35951, 32936, 13, 9236, 68573, 19104, 2256, 11, 22075, 24440, 220, 17, 24, 13, 42256, 220, 17, 15, 16, 22, 8408, 2055, 38916, 2267, 811, 5999, 9820, 25494, 12833, 265, 12063, 134883, 59988, 1626, 32030, 9421, 2694, 33312, 69, 20933, 645, 2694, 5016, 4059, 465, 18812, 2024, 28658, 1536, 2030, 64208, 41203, 9820, 83141, 383, 3956, 22396, 7073, 8408, 42068, 4757, 2694, 17838, 424, 98421, 9421, 14089, 13977, 261, 1230, 74, 956, 332, 75752, 4865, 2185, 2030, 467, 2305, 778, 261, 2185, 6538, 1644, 21251, 42786, 5451, 6919, 266, 1524, 9740, 77, 36956, 2185, 2030, 2009, 2375, 3591, 8486, 824, 70667, 13, 1205, 41846, 13804, 268, 6395, 20644, 69, 11, 48565, 2030, 48565, 3378, 268, 13, 730, 14320, 1863, 19652, 11, 28729, 16739, 3362, 73255, 343, 11, 48565, 15967, 268, 11, 2825, 300, 3089, 395, 11, 20644, 69, 11, 1230, 74, 956, 332, 11, 18482, 44977, 11, 73255, 7256, 5573, 6271, 10312, 25051, 42174, 794, 22733, 49284, 43599, 5692, 374, 264, 6802, 429, 358, 20644, 69, 16011, 1690, 16887, 84176, 32942, 590, 18849, 38, 288, 1241, 22385, 44, 95283, 41411, 23455, 472, 28865, 34, 1020, 15367, 2403, 2375, 645, 28449, 4517, 5999, 4368, 25500, 49802, 7180, 41983, 5016, 1174, 10400, 590, 90360, 2030, 93096, 304, 2746, 362, 56984, 11278, 11855, 65552, 1782, 440, 624, 32617, 9740, 86, 45699, 2694, 2988, 6215, 73741, 19104, 8793, 12222, 2009, 2375, 645, 9299, 1489, 276, 2986, 25, 77717, 289, 1387, 529, 6616, 20113, 40353, 15843, 956, 332, 481, 2030, 15269, 29159, 77717, 1501, 2391, 426, 9911, 26252, 11, 2746, 19833, 3630, 685, 1365, 2030, 9911, 5282, 41538, 9089, 435, 15596, 9421, 13, 8408, 24385, 268, 2694, 393, 1489, 276, 2986, 20048, 566, 723, 7256, 2009, 2375, 3591, 9421, 131807, 11759, 11, 2746, 6395, 1260, 355, 2125, 454, 30353, 2030, 71765, 6395, 20113, 40353, 50232, 1440, 20048, 13, 151643, 2461, 6237, 7671, 839, 481, 7856, 52, 640, 425, 7243, 6538, 83638, 481, 16, 21, 16, 18, 198, 15, 22, 13, 15, 22, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 17, 15, 16, 22, 220, 15, 15, 25, 18, 23, 481, 2362, 22840, 43506, 304, 11461, 434, 30203, 287, 25, 730, 567, 977, 10946, 610, 318, 2157, 285, 1194, 5999, 12743, 269, 7964, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 23, 198, 17082, 434, 30203, 287, 760, 220, 15, 20, 13, 15, 22, 13, 17, 15, 16, 22, 760, 220, 15, 24, 25, 16, 21, 38183, 198, 1427, 22840, 43506, 304, 11461, 434, 30203, 287, 25, 730, 567, 977, 10946, 610, 318, 2157, 285, 1194, 5999, 12743, 269, 7964, 198, 22171, 384, 29032, 278, 7256, 9740, 25329, 285, 958, 69, 10946, 610, 318, 2157, 285, 1194, 320, 75, 6138, 4116, 47143, 1079, 69713, 10938, 6395, 62642, 304, 11461, 434, 30203, 287, 11, 10712, 730, 6070, 798, 25329, 285, 958, 69, 13326, 94589, 4412, 896, 258, 3371, 31275, 371, 9057, 1387, 665, 13, 24196, 49342, 25, 730, 76949, 198, 42, 567, 977, 10946, 610, 318, 2157, 285, 1194, 5999, 2401, 13, 12741, 98877, 6739, 9740, 25329, 285, 958, 69, 6538, 141377, 42137, 1079, 32618, 1126, 331, 76, 39563, 66983, 511, 1543, 22840, 64, 15738, 304, 11461, 434, 30203, 287, 320, 41957, 54942, 285, 9970, 2863, 8, 12743, 269, 7964, 11, 85389, 4368, 328, 1726, 9034, 939, 9740, 25329, 380, 6237, 141377, 13, 2157, 285, 1194, 26109, 220, 23, 18, 48015, 4797, 13, 9740, 4116, 2694, 72170, 4443, 495, 22449, 5342, 68517, 25527, 7522, 142884, 13, 2362, 1174, 26252, 274, 1775, 665, 2694, 595, 2382, 53168, 4229, 380, 20005, 5451, 2543, 562, 54834, 48686, 132894, 11595, 7180, 25714, 1580, 2185, 13, 19000, 730, 49802, 1194, 20751, 12636, 42668, 59228, 58583, 10712, 34368, 288, 2739, 36601, 295, 624, 32, 1387, 732, 425, 380, 372, 9970, 2863, 54739, 82, 13920, 56381, 17298, 8801, 13, 330, 54370, 58442, 2739, 5623, 268, 16111, 9820, 2694, 2778, 3921, 83386, 268, 70772, 5676, 44160, 25527, 1528, 497, 85389, 42584, 958, 69, 48902, 506, 3667, 11, 10712, 2714, 1079, 32618, 1126, 331, 76, 39563, 21982, 58583, 2157, 285, 4972, 2714, 32621, 4079, 13, 330, 19462, 4116, 4368, 29860, 259, 4738, 268, 479, 4260, 392, 724, 0, 51709, 268, 17098, 3433, 38684, 8896, 23273, 304, 53936, 12100, 3178, 645, 75590, 38897, 730, 13796, 22385, 139115, 2429, 93688, 15779, 17739, 3184, 545, 304, 2694, 28831, 13906, 2694, 467, 10938, 37228, 80587, 1942, 83, 13, 8408, 25527, 1528, 304, 44979, 8896, 2714, 13785, 37419, 89, 2636, 23446, 1868, 517, 5451, 709, 649, 2305, 5178, 497, 773, 42584, 958, 69, 506, 3667, 624, 641, 2694, 42068, 1118, 67931, 1528, 1260, 73276, 4229, 380, 304, 11461, 434, 30203, 287, 75315, 1079, 32618, 1126, 331, 370, 408, 4443, 220, 16, 23, 13, 18, 15, 38183, 4368, 63318, 306, 50095, 479, 14134, 7351, 48253, 67, 3591, 267, 67317, 624, 3939, 83, 2807, 25, 18078, 1387, 25, 9740, 25329, 285, 958, 69, 13326, 94589, 4412, 896, 258, 4116, 6395, 62642, 304, 11461, 434, 30203, 287, 198, 42, 567, 977, 10946, 610, 318, 2157, 285, 1194, 13, 24196, 49342, 25, 294, 6595, 14, 18727, 344, 198, 17, 15, 16, 19, 4116, 2157, 285, 1194, 9421, 20404, 1241, 87818, 901, 34271, 268, 7219, 59228, 72705, 467, 80791, 51721, 304, 3371, 27914, 383, 2685, 5436, 61007, 13, 1345, 258, 28275, 8400, 1389, 10712, 9740, 25329, 285, 958, 69, 6538, 141377, 26109, 431, 1743, 23016, 27258, 301, 6642, 13, 2157, 285, 1194, 512, 65, 665, 304, 59228, 66968, 45506, 304, 2694, 730, 49802, 1194, 758, 12495, 44278, 624, 44, 54988, 53797, 75182, 8495, 304, 75077, 1260, 77332, 29413, 2185, 21982, 220, 21, 13, 72124, 220, 17, 15, 16, 22, 320, 19598, 15843, 74917, 8, 12385, 10712, 31247, 7253, 465, 3680, 26378, 306, 198, 2428, 1110, 7138, 556, 6199, 2285, 14, 361, 652, 1580, 3914, 3470, 352, 932, 1112, 77, 12, 1107, 12, 2314, 2564, 198, 1254, 1110, 2136, 556, 6199, 2285, 14, 60931, 3831, 14272, 25720, 62, 1241, 60506, 1112, 12, 6969, 269, 7964, 2564, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 23, 481, 10946, 610, 318, 730, 567, 977, 2157, 285, 1194, 198, 22493, 610, 318, 730, 567, 977, 2157, 285, 1194, 3610, 1371, 318, 468, 29272, 380, 17739, 18211, 673, 220, 17, 15, 16, 18, 304, 141377, 198, 70194, 1531, 15462, 27298, 11, 2429, 10638, 4845, 268, 2712, 2301, 264, 2746, 84, 38738, 62401, 68009, 8, 73689, 15719, 11, 24929, 5999, 1531, 31008, 27785, 5191, 11, 42584, 958, 69, 2030, 730, 567, 977, 10946, 610, 318, 2157, 285, 1194, 624, 18175, 19846, 261, 10246, 65, 1960, 52716, 42584, 958, 69, 2157, 285, 1194, 2030, 10246, 26824, 40662, 12222, 50490, 932, 14047, 141377, 62459, 13, 28275, 141377, 11, 23738, 883, 40662, 8793, 10246, 65, 665, 11, 8793, 17630, 96434, 11, 52434, 50926, 2746, 49765, 665, 16629, 939, 42584, 958, 3848, 9421, 2429, 506, 15795, 19349, 13, 576, 37369, 21826, 433, 23647, 2739, 3632, 7997, 1960, 2746, 6975, 95946, 730, 49802, 1194, 9740, 77131, 2185, 34699, 40662, 13, 9236, 4116, 7180, 23273, 6616, 61217, 468, 5428, 331, 24638, 268, 13785, 3371, 93716, 437, 2694, 576, 37369, 458, 3371, 92191, 15545, 64321, 1960, 13, 12741, 31643, 267, 11, 19349, 77779, 54105, 6898, 7946, 13, 738, 89282, 9089, 19767, 13, 55448, 34699, 40662, 84193, 11, 2694, 40157, 36077, 10246, 652, 304, 19846, 3893, 2024, 645, 7964, 68573, 13, 9236, 66093, 14047, 141377, 2030, 2694, 1527, 42477, 4116, 83758, 624, 42, 567, 977, 2157, 285, 1194, 1501, 645, 65, 10928, 304, 141377, 4368, 650, 388, 331, 20521, 798, 6250, 74, 34271, 7272, 939, 54706, 2356, 82, 2030, 4368, 65571, 446, 40896, 16171, 1194, 13906, 50490, 13160, 4863, 21188, 75, 11595, 304, 25527, 1528, 2030, 20404, 69701, 13, 22309, 372, 4368, 42584, 958, 69, 304, 44979, 8151, 610, 773, 87533, 13785, 3680, 10157, 579, 2185, 13, 6569, 258, 42584, 958, 69, 304, 44979, 4116, 773, 5206, 343, 11, 22075, 1531, 4443, 3371, 23388, 69, 742, 5840, 2694, 25527, 1528, 5451, 2694, 6481, 268, 20404, 69701, 66093, 624, 35, 4953, 36108, 37228, 80587, 1942, 665, 11, 2694, 730, 567, 977, 4116, 11316, 330, 96743, 497, 2714, 4116, 25531, 330, 776, 3263, 19000, 4116, 1531, 10928, 11 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 572, 2714, 6975, 11, 3371, 15690, 10358, 23647, 2694, 11333, 680, 462, 80660, 92237, 85389, 25, 1345, 307, 25531, 330, 776, 1, 0, 52283, 330, 96743, 1, 0, 1298, 3686, 355, 19349, 13, 3686, 1263, 74, 376, 16053, 7219, 28852, 21140, 81146, 16111, 19349, 13, 1230, 423, 70, 38809, 12583, 38897, 4182, 1609, 2142, 268, 11, 5451, 69507, 2714, 773, 384, 80587, 19358, 6772, 2714, 77131, 665, 11, 13368, 2694, 3686, 19349, 11834, 7997, 624, 17360, 55879, 4368, 48100, 77420, 20005, 2823, 709, 4905, 11595, 13, 18069, 14649, 10651, 63319, 10638, 40662, 7128, 268, 13, 25714, 2429, 44966, 47702, 408, 4578, 220, 17, 15, 15, 20, 11, 10712, 883, 15462, 730, 567, 977, 304, 55590, 39438, 4260, 2886, 76120, 7964, 64015, 11, 4116, 2714, 38805, 304, 72440, 8543, 13, 42616, 51939, 10928, 8793, 30, 1345, 482, 54092, 4116, 10489, 1902, 65845, 336, 2501, 6538, 502, 11595, 32895, 337, 36433, 9421, 2694, 24851, 5679, 44966, 13, 479, 12070, 141377, 4116, 9820, 504, 2660, 3660, 30118, 457, 13, 6569, 258, 2656, 4886, 587, 3069, 28064, 90167, 22328, 2844, 76, 4738, 11, 6616, 4116, 1422, 84251, 50095, 11, 30872, 465, 2030, 97502, 65, 465, 479, 4260, 3760, 17699, 1389, 42786, 11, 2694, 2746, 54092, 5451, 3686, 355, 1320, 332, 7714, 13, 19000, 4116, 38805, 14047, 2429, 35346, 76, 473, 939, 2770, 43506, 724, 69, 299, 12032, 730, 567, 23695, 624, 83953, 18211, 673, 268, 6538, 25527, 1528, 304, 2806, 2030, 28789, 502, 36956, 21673, 479, 14134, 2712, 458, 393, 962, 467, 17392, 97525, 4116, 2714, 25531, 49536, 13, 1230, 423, 70, 38809, 10928, 2694, 468, 29272, 380, 10559, 18211, 673, 732, 37419, 220, 17, 15, 16, 18, 11, 2694, 2746, 54092, 141377, 17790, 54459, 6395, 17058, 595, 587, 337, 17739, 44336, 1415, 12, 2030, 3841, 1268, 44278, 7845, 665, 13, 12741, 18211, 673, 13703, 92172, 3371, 425, 16053, 2956, 30353, 11, 572, 34749, 34734, 306, 20005, 25714, 61229, 5999, 25, 19000, 42514, 6395, 512, 71, 1440, 13, 9236, 5999, 730, 567, 977, 2157, 285, 1194, 6395, 25658, 89289, 11, 94567, 31008, 18211, 673, 4368, 2048, 9034, 41663, 74063, 12643, 64015, 13, 2362, 1174, 26252, 10651, 63319, 10638, 58442, 70984, 387, 709, 4905, 268, 13, 1345, 72, 1531, 11, 17058, 29824, 17917, 1147, 5197, 12540, 88287, 12385, 4368, 27265, 31793, 142127, 5451, 58442, 6395, 50232, 1440, 13, 9236, 66093, 58442, 25531, 12222, 4443, 6616, 9820, 25, 42786, 6395, 3686, 355, 6395, 50232, 1440, 624, 37, 4487, 6772, 2030, 5451, 10487, 52662, 7577, 793, 66093, 2714, 304, 3371, 27914, 383, 2685, 13, 21766, 72440, 58442, 38805, 72705, 19858, 269, 595, 34271, 92172, 2714, 458, 11, 595, 16074, 723, 343, 38897, 28831, 732, 2823, 4865, 267, 95174, 732, 20751, 2739, 1323, 27918, 6395, 56945, 624, 19462, 8896, 3371, 27914, 383, 2685, 4081, 89002, 11, 4443, 304, 3275, 7865, 62785, 472, 1330, 4865, 3893, 380, 6772, 49183, 6395, 19349, 13, 2823, 709, 4905, 11595, 11, 647, 371, 81, 70668, 11, 29824, 343, 1960, 2030, 17098, 642, 32936, 2498, 268, 28095, 732, 32618, 1267, 43226, 13, 1345, 258, 9740, 1371, 71968, 43183, 7997, 83, 2714, 2694, 25527, 1528, 304, 141377, 2030, 732, 506, 15795, 13, 2823, 3341, 21454, 58442, 1079, 6252, 5679, 13, 8408, 730, 567, 977, 2157, 285, 1194, 794, 2085, 2185, 40500, 6498, 529, 2746, 23640, 9819, 12, 2030, 77775, 26976, 306, 69936, 732, 9740, 25329, 380, 372, 141377, 39307, 304, 32618, 301, 36519, 65435, 12, 2030, 137256, 535, 20128, 27557, 25, 49192, 794, 13977, 74, 2185, 2694, 6437, 268, 479, 4260, 392, 724, 423, 74, 34271, 2185, 2030, 2694, 8954, 277, 17739, 20004, 495, 16722, 2185, 2694, 32895, 337, 17739, 25527, 1528, 732, 758, 12, 2030, 20004, 1933, 624, 641, 72440, 22840, 43506, 304, 11461, 434, 30203, 287, 42137, 2714, 40851, 6772, 384, 40399, 67056, 67558, 11, 773, 70430, 7714, 6616, 20751, 12636, 624, 42, 567, 977, 2157, 285, 1194, 5999, 566, 318, 709, 46014, 268, 13, 14235, 7997, 2714, 2746, 2340, 2391, 78606, 11, 6538, 2694, 2714, 732, 31467, 5451, 8652, 8151, 610, 11, 1850, 61700, 8896, 11, 15269, 276, 27726, 10638, 79913, 83126, 333, 301, 624, 70194, 16111, 6975, 26252, 65423, 11, 24929, 13279, 68009, 624, 2589, 25173, 11, 80400, 16597, 4894, 1254, 1110, 2136, 948, 263, 333, 266, 9156, 14485, 18215, 4437, 78, 610, 318, 12, 4554, 1112, 48253, 62, 20, 16, 16, 21, 24662, 198, 1254, 1110, 74, 587, 72269, 2285, 14, 17, 15, 16, 22, 14, 15, 22, 14, 15, 20, 14, 4561, 12, 7305, 610, 318, 12646, 567, 977, 33973, 285, 1194, 5894, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 21, 481, 647, 266, 22222, 13222, 19791, 41658, 33706, 645, 25, 220, 16, 17, 434, 585, 1960, 11, 2746, 8495, 75130, 47827, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 21, 198, 53, 266, 22222, 13222, 19791, 41658, 33706, 645, 25, 220, 16, 17, 434, 585, 1960, 11, 2746, 8495, 75130, 47827, 198, 42, 587, 337, 16053, 1154, 88599, 356, 13983, 56979, 1174, 815, 1154, 13222, 48200, 36614, 1154, 82083, 8012, 9510, 8345, 1154, 647, 266, 22222, 198, 76106, 11, 220, 21, 13, 72124, 220, 17, 15, 16, 22, 320, 9414, 17597, 14373, 873, 481, 18069, 60021, 92583, 7272, 647, 266, 22222, 5251, 2382, 7995, 11, 2694, 49241, 2122, 13977, 36108, 2694, 2922, 15795, 96428, 939, 31643, 267, 288, 25127, 25127, 5999, 11, 26109, 6538, 2694, 3651, 551, 72, 939, 647, 266, 1579, 596, 2739, 81760, 295, 11, 14047, 27431, 9911, 40662, 5451, 17443, 64715, 466, 22491, 44226, 33748, 27308, 70628, 33706, 645, 304, 17443, 142418, 54831, 10712, 62668, 267, 288, 2739, 81760, 295, 83572, 71474, 31184, 5600, 198, 74909, 12583, 220, 16, 17, 434, 585, 1960, 13785, 3371, 4818, 16672, 624, 16, 13, 647, 266, 22222, 10559, 3651, 551, 72, 2739, 81760, 7714, 49501, 13130, 82083, 8012, 9510, 8345, 1154, 220, 19, 24, 11, 13906, 40462, 3128, 13518, 66983, 36108, 18482, 3365, 11, 304, 2429, 2714, 304, 2694, 62467, 939, 32050, 723, 2122, 724, 17058, 64715, 466, 1455, 295, 44914, 33370, 27308, 70628, 33706, 645, 732, 384, 29032, 278, 6433, 10925, 559, 939, 1260, 321, 6433, 3303, 2338, 27684, 59141 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 26109, 624, 17, 13, 8012, 9510, 8345, 17837, 524, 1531, 11, 3371, 92707, 15938, 2694, 432, 55318, 17739, 3651, 551, 72, 6395, 1197, 709, 12032, 11, 64289, 2714, 4368, 29764, 26369, 355, 3902, 5451, 730, 69, 89, 15843, 2667, 2986, 28324, 939, 1260, 321, 6433, 794, 12540, 4730, 3318, 32997, 665, 11, 572, 40662, 73455, 16053, 32019, 34699, 14215, 1690, 2030, 1032, 9034, 7522, 7845, 665, 13, 23980, 288, 15438, 457, 70, 11, 6616, 22539, 2956, 24134, 6772, 7180, 60021, 92583, 7256, 138971, 5524, 268, 21196, 17029, 4116, 11, 2714, 4260, 392, 665, 1531, 2429, 49501, 622, 269, 11, 64715, 466, 7180, 38897, 137943, 268, 27308, 70628, 33706, 3591, 6395, 7557, 16030, 11, 28883, 6538, 2694, 432, 55318, 17739, 3651, 551, 72, 12743, 453, 417, 6395, 12643, 624, 18, 13, 19000, 78526, 22222, 10559, 142418, 11, 304, 2429, 2746, 431, 9802, 685, 1494, 17029, 5999, 11, 14821, 2694, 29413, 6538, 88687, 60021, 92583, 6433, 25527, 7522, 76, 62968, 932, 4081, 89002, 11, 15269, 29159, 138971, 69, 1225, 1960, 11, 2340, 54840, 1713, 268, 2030, 49241, 2122, 13977, 34711, 2694, 435, 85584, 17739, 31275, 645, 13, 8408, 3651, 551, 72, 26109, 25658, 135573, 343, 11, 14047, 27431, 2746, 20740, 1404, 732, 142418, 9089, 26252, 71, 6181, 13785, 357, 21545, 7256, 26692, 5676, 2030, 479, 40697, 6538, 18078, 1387, 932, 939, 142417, 28146, 66983, 47808, 80544, 2694, 98359, 387, 10561, 351, 1960, 624, 19, 13, 71474, 28831, 71865, 2694, 6250, 81760, 2185, 4116, 8012, 9510, 8345, 32175, 65, 6772, 773, 60021, 7219, 64715, 466, 11, 14948, 2714, 7180, 2746, 4863, 52330, 2185, 7180, 9820, 27265, 2986, 28831, 304, 2694, 393, 9156, 53243, 730, 79870, 304, 11774, 1640, 91970, 268, 31551, 48376, 301, 4738, 529, 26109, 624, 20, 13, 89230, 89, 2694, 24209, 61231, 11595, 939, 31643, 267, 288, 25127, 6538, 4058, 41064, 89, 2030, 2694, 46069, 42603, 2694, 31275, 645, 11, 26109, 48803, 93504, 13785, 3371, 4818, 16672, 6538, 87262, 89463, 7522, 78526, 22222, 17739, 50130, 1960, 14410, 776, 7522, 13, 1084, 55318, 10559, 3264, 3591, 1411, 45699, 2746, 77930, 49765, 665, 81440, 14047, 2429, 9740, 39416, 6538, 44999, 12, 14873, 268, 624, 21, 13, 8012, 9510, 8345, 4116, 77040, 377, 1268, 408, 732, 431, 40193, 11, 4443, 4368, 42584, 958, 69, 13279, 72440, 35975, 45914, 88599, 356, 13983, 56979, 1174, 815, 13409, 1859, 17958, 2185, 6395, 12643, 624, 22, 13, 8012, 9510, 8345, 5999, 42378, 1118, 17790, 10712, 22318, 1524, 96428, 7219, 2694, 16023, 939, 393, 2305, 88795, 21673, 46976, 7180, 2746, 20004, 1937, 2185, 6538, 1032, 13920, 267, 427, 268, 7219, 133429, 624, 23, 13, 8012, 9510, 8345, 81616, 295, 9089, 2694, 29413, 304, 17443, 1007, 33370, 73641, 3667, 304, 1084, 55318, 11, 6616, 9089, 304, 17443, 8913, 70628, 75074, 72101, 81616, 295, 13, 9236, 55879, 31357, 9740, 86, 21519, 46621, 36108, 1298, 89, 64870, 2694, 4929, 449, 36616, 7180, 38897, 30512, 9160, 2122, 11595, 624, 24, 13, 8012, 9510, 89, 285, 35975, 5999, 730, 567, 977, 88599, 356, 13983, 56979, 1174, 815, 1154, 2694, 91245, 5342, 13422, 263, 10559, 50130, 665, 939, 647, 266, 1579, 596, 13, 9740, 5999, 17058, 2694, 2922, 15795, 96428, 6538, 31643, 267, 65520, 3187, 355, 2030, 512, 307, 52028, 21673, 141785, 89, 932, 16448, 59174, 1220, 11148, 44756, 25, 730, 567, 977, 2739, 19095, 131481, 723, 5451, 647, 266, 22222, 13222, 19791, 41658, 33706, 645, 1274, 52277, 330, 30487, 8543, 68, 1, 304, 13222, 19791, 41658, 65314, 267, 321, 198, 16, 15, 13, 356, 13983, 56979, 1174, 815, 8896, 63318, 44275, 95038, 14410, 776, 7522, 11, 572, 2714, 304, 20321, 2071, 8543, 268, 304, 27308, 70628, 2823, 13536, 71, 11595, 4081, 93339, 8896, 25, 330, 54, 21519, 9300, 2746, 27308, 70628, 2823, 13536, 71, 11595, 6538, 2694, 25527, 1528, 10712, 1, 11816, 330, 524, 81184, 12643, 11, 47827, 595, 587, 337, 10559, 434, 50753, 261, 13368, 2714, 34542, 2746, 1, 20321, 2071, 8800, 64321, 1960, 330, 28551, 41928, 422, 395, 2714, 304, 27308, 70628, 2823, 13536, 71, 11595, 548, 90930, 5999, 624, 16, 16, 13, 9236, 27298, 12307, 74, 2914, 268, 11, 2746, 356, 13983, 56979, 1174, 815, 13785, 2746, 35515, 94211, 33706, 3591, 289, 355, 5342, 2030, 59765, 6538, 74021, 71713, 624, 16, 17, 13, 356, 13983, 56979, 1174, 815, 5999, 304, 2694, 33328, 71, 332, 22539, 65935, 11, 31643, 267, 65520, 3187, 355, 364, 10141, 73, 2391, 968, 2185, 4886, 324, 2694, 595, 587, 337, 17739, 25527, 1528, 13906, 12070, 392, 12640, 268, 13, 422, 39129, 93096, 10928, 6616, 5016, 60322, 36108, 33278, 288, 1527, 42477, 46668, 97748, 11, 6616, 25127, 364, 82, 220, 17, 15, 16, 21, 468, 8719, 29560, 2185, 3303, 50280, 4929, 295, 87475, 5198, 61878, 92172, 11, 2994, 1531, 1147, 6230, 47631, 6772, 25620, 1122, 1952, 2030, 289, 1122, 2836, 383, 404, 266, 7714, 32895, 337, 36433, 11, 2746, 304, 468, 383, 1323, 1387, 512, 65, 1960, 11, 39307, 650, 423, 383, 404, 266, 7714, 11, 53383, 273, 65, 10938, 32895, 337, 36433, 11, 2746, 304, 2694, 20995, 485, 72, 512, 65, 1960, 11, 2746, 566, 321, 7256, 87727, 16192, 2714, 6023, 301, 1960, 13, 1345, 258, 33278, 26109, 6538, 7746, 1389, 4865, 33748, 25527, 7522, 72313, 932, 13368, 730, 567, 977, 2502, 519, 10861, 713, 17837, 674, 83, 11, 1508, 1126, 17958, 1531, 2694, 595, 587, 337, 17739, 62558, 265, 13785, 2746, 468, 383, 11, 2746, 468, 29272, 380, 645, 2030, 6616, 425, 53894, 406, 25151, 143437, 9724, 388, 649, 610, 624, 2428, 1110, 2136, 918, 82295, 14668, 27744, 905, 3470, 22081, 5457, 774, 1112, 19, 5918, 16, 24, 12, 19, 15, 17, 18, 20, 21, 17, 19, 20, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 21, 481, 49501, 31643, 20521, 72, 25, 330, 36, 383, 1, 13222, 19791, 41658, 11, 59765, 87727, 16192, 17790, 2823, 14348, 42603, 198, 17, 20, 13, 80157, 220, 17, 15, 16, 22, 481, 220, 15, 16, 13, 17, 19, 38183, 198, 13, 49501, 31643, 20521, 72, 25, 330, 36, 383, 1, 13222, 19791, 41658, 11, 59765, 87727, 16192, 17790, 2823, 14348, 42603, 198, 45, 4865, 82, 87727, 16192, 2030, 31357, 6694, 72, 2956, 325, 2823, 14348, 42603, 27308, 41658, 330, 423, 383, 404, 266, 295, 497 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2746, 96042, 17790, 8793, 34749, 1032, 361, 16034, 20004, 3612, 1942, 3893, 85426, 13, 60082, 73689, 11, 1531, 72734, 11, 1531, 4116, 16064, 901, 13, 11108, 31643, 20521, 72, 11, 42584, 958, 69, 6538, 52424, 11, 18657, 11, 25531, 15462, 9089, 17392, 2823, 72101, 2154, 43226, 7180, 1298, 87808, 12, 1241, 1298, 7276, 20933, 645, 5451, 54649, 16540, 4706, 268, 2030, 18859, 268, 647, 13820, 307, 42603, 2694, 45173, 645, 2030, 2694, 595, 587, 337, 17739, 88506, 13, 16887, 364, 11455, 2714, 1079, 220, 16, 17, 13, 80157, 21506, 50591, 12495, 4368, 74463, 2122, 13785, 2746, 87948, 383, 6, 49642, 19791, 41658, 732, 76604, 20658, 42944, 1574, 70777, 624, 32617, 66850, 1123, 11, 62782, 65161, 458, 2746, 27785, 5191, 2030, 6616, 7767, 2956, 31793, 276, 19207, 2714, 6023, 3818, 93644, 56400, 408, 2746, 3264, 3591, 25, 330, 8408, 25527, 1528, 8896, 8793, 12222, 2746, 56872, 36614, 1154, 51290, 10928, 2746, 91929, 30077, 2577, 665, 6250, 15897, 37633, 2185, 38897, 4166, 306, 10559, 62558, 265, 13785, 2746, 468, 383, 6395, 387, 9855, 56539, 6433, 11, 39307, 2746, 9740, 39416, 2185, 2030, 3371, 78445, 6395, 40500, 6498, 932, 566, 321, 7256, 67775, 29413, 93716, 437, 330, 1154, 85389, 16064, 901, 13, 31643, 20521, 72, 11, 14047, 53936, 6252, 450, 15269, 276, 2714, 6130, 529, 1154, 13368, 8725, 330, 2746, 20226, 546, 2030, 4368, 22385, 20005, 62558, 265, 2694, 595, 587, 337, 17739, 25527, 1528, 41488, 54649, 2825, 34271, 2185, 7219, 2746, 57803, 23898, 288, 42250, 77, 10588, 3686, 355, 659, 698, 22171, 42584, 958, 69, 6538, 52424, 11845, 11, 38897, 77200, 6250, 69046, 2185, 472, 648, 269, 383, 83592, 330, 6538, 479, 48253, 42514, 1154, 2746, 58442, 458, 423, 2172, 332, 11, 5451, 451, 31573, 15795, 11567, 1371, 1154, 28883, 2746, 467, 15113, 22385, 6395, 27684, 36956, 5183, 41348, 422, 39129, 2714, 77131, 665, 2714, 1154, 13368, 2746, 7767, 2956, 31793, 276, 74462, 13785, 2746, 27308, 29937, 330, 36, 12032, 1, 5999, 9820, 274, 1775, 69, 41203, 7256, 2030, 16540, 6603, 6817, 1527, 66671, 939, 67302, 327, 939, 13422, 263, 17739, 1032, 54327, 1154, 94567, 3893, 42316, 11, 2746, 2714, 17859, 49232, 406, 11, 7219, 21794, 55449, 4865, 6395, 17630, 2030, 56104, 458, 2694, 393, 2305, 88795, 21673, 142485, 16046, 269, 12417, 304, 11774, 11, 39307, 15462, 40990, 315, 16398, 7506, 458, 2694, 1581, 25300, 3822, 2030, 18520, 485, 24016, 301, 732, 89502, 17739, 36866, 427, 13, 45481, 26769, 95817, 8793, 1147, 360, 2305, 50900, 1154, 14948, 25, 330, 3371, 2839, 17149, 344, 37431, 9819, 17739, 4864, 51767, 2694, 9179, 268, 2823, 74991, 6395, 3371, 13222, 19791, 70628, 773, 4081, 276, 42469, 87948, 12032, 6, 709, 42316, 11, 2694, 304, 36744, 93716, 437, 8793, 289, 15113, 92670, 268, 5999, 566, 321, 7256, 87727, 16192, 6395, 8486, 42477, 268, 11, 17790, 52434, 84911, 301, 27277, 12643, 41348, 2980, 13, 220, 24, 16, 20, 939, 33677, 327, 939, 13422, 263, 17739, 1032, 331, 2338, 97096, 304, 2694, 62467, 11, 6538, 2694, 468, 29272, 380, 645, 9421, 45061, 76166, 12643, 1154, 2746, 330, 46389, 77, 2305, 377, 343, 2755, 277, 1440, 304, 17058, 1007, 78571, 1241, 6433, 83758, 268, 328, 97310, 330, 15719, 13, 220, 24, 16, 21, 5699, 265, 20319, 13906, 1154, 13368, 41983, 12583, 9089, 26956, 355, 267, 1154, 2746, 8486, 42477, 268, 330, 28883, 13906, 1923, 7256, 77310, 2396, 306, 1574, 2823, 37347, 1967, 579, 939, 42250, 77, 41348, 8495, 20048, 8793, 7135, 268, 13279, 23291, 28421, 2030, 23388, 8802, 367, 268, 19349, 26, 8495, 20048, 8793, 13279, 2694, 386, 23318, 1853, 33370, 11, 17790, 59228, 11615, 261, 12385, 7906, 52662, 539, 306, 50095, 7767, 798, 2694, 468, 29272, 380, 645, 13, 6569, 482, 7767, 2956, 31793, 276, 495, 84956, 15719, 330, 36, 383, 1, 13222, 19791, 41658, 7219, 37060, 1154, 17790, 2746, 5451, 74021, 18607, 22157, 268, 3660, 68, 3591, 26, 48803, 27785, 5191, 12385, 96428, 2694, 31275, 645, 15719, 26769, 330, 37, 17750, 497, 1154, 28883, 6616, 76120, 4865, 932, 330, 66287, 38486, 26647, 1859, 659, 698, 13, 49501, 31643, 20521, 72, 48376, 301, 21140, 34749, 27785, 5191, 37521, 5451, 3371, 42786, 6395, 51873, 1154, 2746, 26769, 13093, 287, 2185, 97872, 330, 9911, 17312, 23334, 81112, 435, 28421, 36304, 78612, 2746, 566, 321, 7256, 87727, 16192, 8486, 42477, 268, 20048, 1154, 14840, 9911, 2746, 77775, 1330, 20542, 19767, 6616, 38767, 2396, 306, 2694, 24209, 2956, 24134, 2185, 5451, 2694, 25527, 1528, 26252, 1059, 6969, 32863, 41348, 43997, 8495, 9089, 304, 350, 2539, 140600, 15113, 12583, 11, 12643, 9911, 2746, 566, 321, 7256, 87727, 16192, 10712, 47355, 58534, 89, 54988, 2185, 57984, 12222, 21506, 2694, 13093, 287, 2185, 1154, 14948, 2714, 330, 27227, 23455, 7180, 34749, 328, 34271, 268, 16034, 20004, 3612, 1942, 41348, 43997, 8725, 8793, 1032, 361, 4443, 709, 70617, 3342, 342, 573, 69, 17454, 3670, 47827, 9911, 304, 2694, 72630, 331, 21673, 7107, 1587, 28122, 1003, 268, 1197, 89, 11706, 12643, 13, 2362, 83126, 333, 2010, 13464, 67382, 458, 3371, 6013, 306, 21673, 2030, 2714, 30166, 79788, 34749, 7107, 12543, 11595, 659, 6228, 52491, 652, 13409, 42477, 6538, 16840, 932, 38767, 2396, 306, 268, 11, 87862, 647, 70551, 12385, 9740, 74991, 16892, 485, 13920, 343, 1960, 17630, 9820, 27308, 29937, 2823, 74991, 11, 5999, 1531, 2746, 23291, 66075, 304, 3371, 434, 32251, 268, 6395, 66386, 23118, 1154, 23738, 1531, 9820, 330, 17859, 87541, 34271, 7714, 42722, 46621, 1154, 14948, 9911, 16034, 595, 587, 337, 17739, 479, 4260, 75967, 2714, 89, 11706, 12643, 13022, 2746, 25714, 61229, 2694, 79635, 1960, 84247, 27418, 37633, 142334, 336, 468, 8719, 38809, 2746, 33328, 12, 2030, 28275, 665, 457, 17058, 63318, 306, 21673, 3841, 1268, 732, 6250, 47635, 25151, 18963, 9740, 75309, 19786, 16192, 2030, 37625, 2185, 14821, 74021, 3893, 42316, 12643, 11, 12222, 24929, 1154, 22075, 9911, 330, 82, 484, 17859, 9421, 42153, 695, 295, 2030, 13906, 61286, 41538, 41348, 9236, 50926, 8793, 7219, 26769, 80378, 18069, 376, 1442, 304, 595, 587, 337, 17739, 52990, 268, 12385, 46416, 2694, 29201, 331, 2367, 60637, 2739, 896, 343, 529, 12643, 11, 14821, 1531, 74021, 3893, 42316, 12643, 11, 330, 10928, 304, 70777, 2694, 468, 383, 2030, 38667, 36614, 11, 13368, 9911, 304, 2694, 62558, 265, 2694, 25527, 1528, 17312, 90769, 12743, 32863, 13022, 34749, 647, 70551, 12385, 9740 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 74991, 16892, 485, 13920, 92172, 47827, 9089, 26956, 355, 267, 19349, 11, 13279, 2694, 1527, 87697, 939, 16840, 288, 320, 31607, 4292, 2428, 1110, 2136, 18173, 5963, 3511, 16597, 277, 316, 3362, 15593, 62441, 72, 1112, 811, 39978, 2220, 359, 3253, 72, 5894, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 19, 481, 22463, 29413, 75343, 645, 25, 25987, 325, 71, 6566, 83592, 52549, 43999, 10489, 7725, 365, 34966, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 19, 198, 26223, 29413, 75343, 645, 25, 25987, 325, 71, 6566, 83592, 52549, 43999, 10489, 7725, 365, 34966, 198, 18175, 61921, 84177, 632, 7659, 645, 330, 40, 991, 5174, 1, 8896, 220, 16, 21, 13, 15, 15, 15, 43999, 304, 264, 13920, 61921, 2305, 17739, 140275, 77, 13785, 136740, 48015, 289, 79748, 6772, 2148, 273, 41538, 13, 2055, 26109, 10928, 1197, 33425, 83, 11, 14948, 1531, 41983, 18069, 1489, 2391, 64513, 7219, 6616, 42678, 4865, 2694, 43999, 27298, 11, 2746, 2746, 52159, 3591, 12304, 258, 8793, 20153, 1100, 16030, 20048, 13, 8408, 467, 79748, 1536, 53835, 12412, 2746, 15928, 1579, 304, 2694, 42068, 37633, 624, 22171, 6755, 58791, 458, 10489, 7725, 365, 4865, 6433, 16840, 932, 304, 38500, 5999, 25494, 80260, 6772, 66761, 2963, 13, 758, 137256, 2174, 3591, 12583, 387, 285, 2493, 2010, 41210, 220, 19, 15, 78233, 2694, 43999, 6395, 25985, 11, 304, 29505, 14134, 12385, 22475, 3591, 12583, 1531, 12222, 220, 16, 15, 78233, 13, 44979, 63940, 732, 32618, 490, 783, 13, 91513, 32030, 47650, 49536, 20404, 1241, 87818, 89, 590, 437, 11, 9740, 77, 36956, 28122, 423, 35505, 11, 595, 75024, 20005, 35708, 11, 93887, 23334, 92135, 39307, 2746, 18069, 1489, 2391, 64513, 939, 77779, 288, 54942, 4909, 2030, 2694, 72705, 88537, 7219, 2746, 43999, 13, 1527, 358, 991, 5174, 1274, 58791, 17917, 43303, 220, 16, 22, 49890, 331, 2185, 48435, 36702, 11595, 304, 220, 16, 17, 140275, 77, 13, 29317, 5986, 17029, 26109, 358, 991, 5174, 21982, 425, 25944, 2030, 2694, 142485, 425, 61869, 624, 36, 10453, 2694, 357, 13977, 74, 15795, 18069, 1489, 1854, 69, 9913, 23647, 84732, 9740, 77, 36956, 28122, 12, 2030, 37210, 791, 2185, 1991, 365, 3103, 89249, 5999, 2694, 773, 89, 19893, 15577, 2694, 88537, 11, 38805, 55248, 304, 12442, 2407, 11426, 624, 623, 661, 3591, 9325, 17442, 86498, 16366, 77340, 75018, 25, 330, 53750, 30632, 288, 49753, 11, 7219, 2429, 2746, 15928, 1579, 1424, 17454, 35141, 11, 5999, 2746, 7219, 43999, 10712, 730, 2382, 1123, 268, 668, 64177, 10938, 35780, 83592, 7180, 650, 4188, 1241, 288, 98675, 5451, 36077, 54504, 2030, 434, 7066, 13, 54068, 35780, 83592, 1365, 77556, 732, 25987, 65423, 1365, 5999, 25494, 18607, 265, 41538, 2030, 8896, 67703, 18069, 1489, 1854, 7219, 43999, 11, 773, 14948, 1531, 71765, 7180, 25494, 14410, 1241, 87818, 81936, 355, 5342, 3984, 4160, 83758, 5999, 11, 3371, 23388, 1242, 31008, 451, 65224, 3563, 95283, 74227, 355, 16789, 15141, 2712, 22956, 12, 12741, 773, 89, 815, 12, 76791, 14274, 10559, 8104, 8896, 67703, 18069, 1489, 1854, 7219, 2746, 6755, 68, 457, 7180, 30512, 7725, 365, 4865, 12318, 47626, 579, 50499, 624, 12, 2362, 89507, 2694, 18520, 135453, 6433, 7659, 645, 64015, 18859, 6969, 32863, 12643, 11, 14948, 77556, 294, 4775, 3818, 773, 41983, 43999, 5451, 75260, 14408, 336, 12385, 47332, 1536, 336, 773, 89, 815, 12, 76791, 14274, 17739, 8104, 732, 4929, 66075, 939, 6252, 276, 86, 86873, 724, 10489, 7725, 365, 34966, 47650, 11, 10712, 43999, 5451, 305, 2267, 336, 773, 89, 815, 12, 76791, 14274, 17739, 8104, 624, 12, 78596, 12583, 137943, 261, 10489, 7725, 365, 34966, 10712, 619, 11595, 624, 12, 61223, 7272, 10712, 4368, 422, 1003, 22924, 2694, 43999, 12583, 10552, 6772, 49183, 624, 12, 43999, 11, 2746, 5883, 13002, 40499, 2185, 16540, 1242, 16030, 11, 16540, 1242, 16030, 10928, 137943, 261, 41150, 1942, 13820, 2126, 134291, 440, 11, 650, 138645, 6538, 3371, 20317, 268, 2694, 3984, 4160, 12385, 2694, 50790, 70, 21673, 422, 27097, 939, 25987, 325, 71, 724, 624, 12, 25987, 65423, 66983, 939, 12838, 724, 11, 4368, 5883, 12010, 261, 14033, 732, 43999, 64474, 39307, 25987, 325, 71, 39537, 1242, 6538, 18520, 10712, 220, 16, 794, 28865, 462, 12353, 12583, 434, 9913, 23647, 11, 58319, 2746, 69590, 94213, 88185, 7180, 30512, 7725, 365, 4865, 83630, 6772, 59801, 2956, 12032, 624, 12, 8408, 77094, 7294, 17058, 88537, 12709, 71, 8138, 77, 9089, 13279, 135720, 37285, 4865, 11, 50697, 704, 13279, 53363, 36433, 7180, 91970, 89249, 2030, 2429, 9740, 77, 36956, 28122, 423, 35505, 13, 43999, 12709, 71, 8138, 77, 49536, 18520, 52716, 386, 28658, 4160, 10712, 3371, 647, 2305, 4160, 624, 12, 19000, 135720, 37285, 4865, 6538, 16840, 932, 2030, 23257, 351, 932, 305, 25423, 83, 5451, 2429, 135720, 37285, 4865, 2694, 2263, 63923, 10316, 732, 77779, 288, 54942, 285, 53383, 13, 23257, 1409, 2816, 55339, 5451, 139554, 261, 69590, 94213, 88185, 6395, 650, 4188, 1241, 336, 98675, 11, 22075, 1531, 10928, 2694, 77779, 288, 54942, 285, 18060, 624, 96347, 1579, 22589, 48376, 265, 55339, 198, 54, 337, 75313, 16366, 77340, 44628, 529, 93328, 9820, 357, 13977, 74, 485, 3184, 986, 36616, 6538, 2341, 8345, 613, 7219, 43999, 1147, 50159, 88718, 798, 1032, 10561, 373, 13, 8408, 83423, 14387, 6433, 91452, 423, 15897, 37633, 11595, 7180, 2739, 69046, 2185, 3492, 965, 485, 35780, 83592, 41488, 724, 2694, 17210, 7231, 50368, 1960, 8793, 13, 12741, 29003, 28324, 59330, 2185, 5999, 10928, 2746, 6250, 14383, 73612, 57804, 12098, 14321, 13, 422, 395, 2746, 35780, 83592, 6616, 12838, 423, 35505, 6538, 16840, 932, 37146, 37228, 258, 1489, 355, 267, 11, 16540, 42469, 2746, 49890, 9034, 4368, 450, 332, 343, 304, 54649, 7659, 645, 387, 48414, 13, 43999, 2816, 55339, 2429, 77, 610, 137943, 261, 6395, 24079, 3612, 15504, 2030, 59739, 26824, 12385, 16467, 1960, 12307, 23129, 11, 22075, 9911, 6395, 36115, 35780, 83592, 458, 45061, 2717, 17630, 481, 2030, 82664, 10928, 24929, 11, 22075, 34749, 3984, 4160, 6616, 83880, 18607, 33254, 13, 16887, 9911, 80617, 71765, 98675, 6395, 9089, 11, 6616, 9911, 83880, 8793, 22163, 4370, 11, 14211, 7997, 52507, 9911, 2746, 35780, 83592, 67952, 342, 81184, 17630, 624, 6582, 4160, 74453, 16034, 79192, 3371 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 25987, 325, 1923, 9421, 2429, 40407, 54649, 43999, 18607, 1020, 268, 13, 16887, 34542, 10928, 8793, 773, 36077, 5699, 45258, 11, 51939, 9911, 17630, 9820, 647, 29886, 695, 69, 3122, 27391, 624, 54370, 1863, 58193, 524, 40308, 939, 1967, 579, 77, 449, 31500, 3696, 332, 2030, 386, 7687, 467, 36964, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 17, 481, 12741, 21809, 65, 10938, 386, 23348, 331, 11, 2694, 15462, 730, 567, 977, 16034, 55734, 6433, 1411, 84642, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 17, 198, 22171, 21809, 65, 10938, 386, 23348, 331, 11, 2694, 15462, 730, 567, 977, 16034, 55734, 6433, 1411, 84642, 198, 38, 288, 54081, 4320, 1194, 46680, 11, 220, 21, 13, 72124, 220, 17, 15, 16, 22, 198, 42, 567, 977, 20445, 25, 330, 22171, 23276, 331, 15719, 68009, 304, 467, 15113, 22385, 12222, 304, 55734, 6433, 2030, 60352, 309, 26612, 387, 709, 4905, 268, 1, 320, 19002, 340, 53, 263, 730, 567, 977, 8397, 20445, 11, 33781, 266, 9156, 11, 6938, 220, 16, 19, 198, 32617, 5999, 4368, 259, 4738, 384, 80587, 1942, 3492, 337, 642, 33278, 11, 55248, 730, 567, 977, 20445, 82, 98877, 1923, 288, 11, 68009, 12385, 59765, 659, 758, 36744, 16936, 41852, 44914, 20445, 835, 6772, 38897, 16840, 22385, 304, 47803, 2030, 2746, 92979, 53936, 12493, 5191, 21673, 8907, 1704, 2185, 11, 10712, 2714, 2746, 38747, 1113, 645, 305, 2210, 1704, 89, 538, 11, 4443, 9740, 25329, 285, 958, 69, 6395, 12643, 13, 758, 36744, 75020, 406, 883, 9421, 72313, 6772, 13785, 19349, 9179, 288, 55397, 11, 38897, 5282, 632, 444, 17149, 2391, 265, 2694, 8913, 70628, 730, 447, 24803, 2030, 2746, 1260, 321, 6433, 2030, 576, 1609, 268, 11, 2746, 19349, 9774, 2712, 27684, 21558, 3342, 17630, 11, 39307, 38897, 10890, 24468, 1038, 2301, 595, 587, 337, 10559, 65754, 7219, 2746, 77748, 20005, 44966, 624, 17360, 5999, 387, 50591, 77, 408, 11, 14948, 2694, 49586, 13, 6156, 70856, 11, 4368, 61805, 261, 7977, 461, 8656, 32708, 42584, 958, 69, 11, 6395, 59228, 94505, 72101, 1960, 9460, 23647, 93096, 13, 45481, 20445, 35141, 2746, 330, 623, 25720, 479, 48253, 1, 25531, 7219, 17058, 22539, 36964, 25570, 1952, 6538, 2694, 54092, 939, 42786, 633, 1440, 406, 19349, 25, 289, 7294, 9820, 38650, 2185, 4886, 404, 1528, 17790, 9820, 11, 2746, 1501, 410, 974, 320, 1241, 18020, 8, 16942, 74, 27899, 16053, 5999, 624, 46, 723, 5999, 883, 14862, 17917, 11, 2746, 468, 13573, 92182, 36108, 33278, 288, 6395, 10489, 1902, 2637, 268, 13, 19000, 5999, 65733, 11, 51939, 1531, 41852, 265, 20319, 11, 13368, 6616, 33278, 25620, 73461, 26109, 25, 19767, 2746, 2058, 268, 44336, 7714, 36108, 502, 11595, 386, 23348, 55457, 11, 3240, 32619, 34307, 47435, 645, 6538, 2694, 32050, 802, 267, 2636, 2185, 11, 2694, 458, 28811, 4818, 1536, 960, 6774, 65, 13, 9740, 64015, 8793, 18520, 65562, 7522, 11, 773, 14948, 2694, 730, 567, 977, 40662, 18520, 76, 1127, 304, 2694, 3680, 665, 72, 6538, 2825, 13256, 9057, 1387, 665, 2030, 42046, 5451, 58442, 7963, 69, 20783, 13820, 2030, 5451, 58442, 304, 17058, 7577, 42950, 20542, 87943, 33235, 13820, 11, 2746, 330, 258, 2694, 794, 4517, 29167, 23647, 26109, 2030, 5699, 896, 343, 408, 289, 53152, 3263, 18069, 450, 332, 343, 8896, 24440, 13393, 20445, 13368, 19349, 17699, 1389, 77779, 3893, 30781, 11595, 11, 330, 18982, 18131, 802, 304, 2746, 467, 15113, 22385, 2694, 422, 17707, 74227, 332, 85885, 22956, 47789, 288, 33278, 11, 13368, 19349, 647, 1775, 61673, 11, 5999, 6616, 78796, 285, 36108, 8688, 268, 88072, 5451, 2429, 1422, 12070, 2956, 14406, 7522, 9936, 37122, 51736, 7767, 266, 13, 7767, 266, 11, 2694, 2746, 22080, 89493, 2694, 95817, 939, 730, 567, 23695, 41150, 83049, 8896, 11, 4443, 9911, 71935, 261, 6395, 2739, 896, 23129, 1934, 624, 1254, 1110, 2136, 520, 587, 337, 713, 24380, 6830, 15194, 3183, 351, 9918, 1112, 41978, 4686, 1331, 321, 763, 5894, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 16, 481, 94063, 811, 90167, 25, 28275, 2694, 330, 36, 383, 7180, 12304, 1, 35141, 2694, 330, 37, 20933, 3591, 423, 52015, 1, 58065, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 18, 16, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 24, 481, 38650, 38130, 5676, 73689, 13, 59092, 220, 17, 18, 25, 20, 16, 3651, 551, 72, 25, 220, 20, 24, 50130, 665, 2739, 1149, 11687, 488, 22940, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 24, 198, 95554, 295, 5215, 16034, 479, 17, 15, 12010, 573, 58267, 198, 1254, 1110, 2136, 1253, 2385, 85, 2285, 92750, 275, 1579, 14953, 32997, 10938, 12, 10141, 75, 1112, 273, 16, 24, 24, 17, 19, 18, 19, 24, 2564, 198, 62730, 220, 15, 15, 25, 16, 20, 431, 1241, 220, 17, 15, 85401, 54834, 304, 42678, 1466, 5428, 309, 488, 22940, 57, 86, 17739, 220, 16, 15, 2030, 220, 17, 15, 85401, 54834, 12583, 14840, 5205, 13279, 3371, 50244, 331, 265, 275, 11595, 18859, 4370, 46646, 30179, 11, 75018, 50062, 38185, 331, 21062, 42301, 6538, 3371, 1527, 36601, 932, 2694, 22992, 12010, 17, 15, 9420, 7291, 54581, 330, 13936, 311, 23887, 3263, 9740, 10207, 89131, 9089, 49536, 7219, 50244, 8535, 6538, 1527, 86, 29802, 1960, 2694, 85401, 54834, 13, 8408, 3651, 551, 72, 34542, 15719, 17790, 59765, 6395, 38650, 38130, 5676, 73689, 624, 18175, 472, 46675, 3651, 551, 72, 70430, 295, 11, 14948, 1531, 13279, 3371, 88687, 60352, 14033, 5679, 304, 50462, 40897, 4443, 2746, 36659, 68, 34699, 3371, 479, 17, 15, 12010, 573, 58267, 61550, 220, 20, 24, 2739, 1149, 89282, 3651, 551, 579, 14580, 665, 27298, 13, 1863, 58193, 6395, 2739, 1149, 89, 1960, 85401, 54834, 30005, 4370, 8793, 13906, 11, 773, 2746, 3651, 551, 72, 624, 77, 2385, 85, 2285, 14821, 8495, 304, 36744, 36211, 295, 5215, 304, 3371, 93688, 19875, 350, 8535, 13785, 35951, 40897, 4443, 3371, 479, 17 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 15, 12010, 573, 58267, 7219, 2429, 4929, 1704, 19875, 95723, 13, 19000, 1494, 65161, 96042, 25, 220, 21, 13, 72124, 220, 17, 15, 16, 22, 11, 220, 20, 13, 72124, 220, 17, 15, 16, 22, 624, 2183, 6712, 25, 308, 2385, 85, 2285, 1154, 3873, 14109, 2493, 4437, 768, 7382, 2576, 3446, 6595, 68315, 198, 1254, 1110, 2136, 1253, 2385, 85, 2285, 92750, 275, 1579, 14953, 300, 46967, 65161, 1112, 273, 16, 24, 24, 17, 17, 24, 20, 24, 2564, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 24, 481, 659, 72124, 220, 17, 15, 16, 22, 481, 220, 16, 16, 13, 16, 19, 38183, 49192, 647, 13820, 307, 42603, 2694, 330, 67, 392, 685, 1, 2694, 57093, 730, 567, 977, 11, 2472, 665, 304, 2694, 14101, 723, 19767, 3371, 31643, 267, 11, 6538, 8677, 299, 6879, 1571, 198, 20, 13, 72124, 220, 17, 15, 16, 22, 481, 220, 16, 16, 13, 16, 19, 38183, 198, 57, 324, 647, 13820, 307, 42603, 2694, 330, 67, 392, 685, 1, 2694, 57093, 730, 567, 977, 11, 2472, 665, 304, 2694, 14101, 723, 19767, 3371, 31643, 267, 11, 6538, 8677, 299, 6879, 1571, 198, 17360, 26109, 1079, 220, 17, 22, 13, 80157, 141871, 11, 220, 17, 15, 16, 22, 647, 266, 22222, 44999, 11, 2694, 33328, 370, 408, 939, 730, 2382, 5323, 2356, 82, 11, 4368, 330, 4114, 798, 36518, 458, 3371, 730, 567, 977, 6538, 27705, 392, 685, 6, 3670, 25620, 73461, 6538, 42250, 77, 18095, 467, 3104, 539, 659, 758, 36744, 36518, 77449, 16111, 2746, 730, 53790, 2305, 273, 1154, 4443, 34749, 12380, 268, 2030, 8793, 6395, 24714, 13785, 66693, 30353, 8495, 2746, 2988, 36772, 939, 51032, 4280, 624, 18175, 32175, 42316, 268, 140917, 12583, 6538, 40462, 1644, 1960, 11, 2746, 16111, 6616, 10230, 2030, 15908, 308, 40193, 67594, 510, 32, 8, 6616, 30909, 11, 4443, 13818, 68, 6538, 3371, 32175, 65, 21673, 330, 30124, 86, 1268, 343, 51707, 1, 3161, 12495, 481, 4116, 30353, 2746, 43327, 481, 330, 26493, 97144, 4166, 306, 17739, 31643, 300, 88599, 70578, 268, 6395, 17324, 54749, 16030, 11, 304, 2429, 1531, 140385, 11, 14948, 304, 4368, 6433, 434, 32251, 268, 8896, 28853, 2746, 4093, 8345, 500, 258, 2694, 38767, 2396, 6817, 3893, 21545, 529, 1, 2030, 24929, 80129, 3818, 9911, 6395, 9820, 52287, 83141, 383, 6538, 2823, 674, 15938, 11595, 11, 10928, 304, 3377, 6538, 70777, 11, 14948, 2694, 31643, 267, 63620, 2694, 330, 2082, 21062, 2863, 28122, 29159, 36702, 939, 66968, 57093, 4172, 392, 685, 14913, 58881, 10638, 12709, 93016, 11, 304, 48803, 336, 47355, 6538, 330, 6091, 50280, 1187, 295, 87475, 1, 6395, 85239, 66124, 624, 33, 8, 8408, 1352, 1574, 2521, 17395, 2185, 13818, 68, 2714, 6130, 932, 94718, 665, 50244, 8535, 939, 62558, 2396, 2338, 13785, 2746, 6753, 25288, 10559, 35183, 266, 11, 2030, 5699, 11567, 26824, 64069, 355, 11, 14948, 330, 47, 18321, 88599, 481, 289, 15422, 72, 2694, 13409, 69, 61673, 939, 4864, 2142, 300, 939, 1260, 321, 6433, 4229, 74360, 11, 2694, 40662, 10928, 732, 4622, 268, 4878, 1571, 2356, 143037, 320, 45702, 6538, 794, 13, 75852, 83369, 7946, 8, 512, 4079, 665, 481, 26933, 13920, 343, 465, 41210, 50837, 3371, 13409, 42477, 2694, 566, 321, 6433, 87727, 16192, 6538, 25620, 1122, 33370, 2030, 26252, 3893, 383, 404, 266, 295, 11, 87862, 143053, 47650, 274, 1775, 69, 41203, 343, 668, 37285, 11706, 12643, 13, 6228, 40369, 5436, 33827, 11, 26769, 13818, 68, 6395, 312, 351, 16030, 11, 9421, 2694, 54936, 14668, 83141, 383, 1191, 268, 11, 10712, 1487, 16053, 36852, 57926, 408, 25, 304, 2694, 62467, 11, 22075, 12304, 8536, 75, 11595, 939, 6879, 1571, 78, 43303, 25531, 72734, 2030, 21784, 17149, 2030, 2739, 1023, 408, 481, 7180, 2746, 14211, 23455, 350, 1862, 1777, 2694, 21982, 31643, 267, 9421, 4188, 776, 7522, 14821, 481, 2746, 1230, 1859, 17958, 2257, 26612, 320, 2267, 811, 8907, 2391, 14553, 34966, 2185, 7180, 387, 285, 2493, 2010, 41210, 2694, 758, 39416, 939, 66850, 2831, 11, 2746, 23334, 138087, 11, 21506, 69507, 2746, 6250, 75, 2717, 2257, 2185, 14410, 1528, 12032, 5999, 11, 2746, 350, 1862, 1777, 11, 14948, 9820, 62558, 265, 5999, 58325, 20504, 12385, 26252, 71, 6181, 11, 4992, 2572, 4992, 24389, 12385, 11, 22075, 55928, 330, 1489, 1000, 11984, 285, 1, 939, 435, 85584, 17739, 39770, 333, 327, 50926, 10712, 14254, 1728, 2030, 25531, 6454, 81184, 12643, 2714, 8187, 932, 2030, 304, 94885, 14785, 2746, 6170, 485, 93716, 12543, 2185, 2694, 8280, 2305, 392, 6433, 11, 58881, 2746, 328, 1777, 6395, 18597, 77, 25620, 76166, 12643, 624, 641, 2694, 62467, 5999, 6616, 62558, 2396, 83, 2694, 25527, 1528, 54548, 6772, 4368, 135720, 320, 26493, 11, 572, 2746, 25527, 1528, 7180, 3371, 479, 4260, 75967, 5699, 43183, 5178, 701, 6538, 69507, 60637, 8793, 12304, 50244, 8535, 3371, 29003, 28324, 78445, 17630, 26, 304, 38684, 93504, 268, 11, 8793, 12304, 48686, 132894, 11595, 481, 1508, 1126, 17958, 4166, 306, 16053, 348, 1775, 59378, 54708, 481, 9911, 2714, 8187, 932, 6616, 29003, 12063, 11331, 7997, 458, 93716, 12543, 2185, 13, 19000, 330, 67, 392, 685, 1, 43327, 10928, 53797, 1853, 33370, 11, 6395, 20226, 96049, 11, 12442, 9034, 78445, 9911, 9820, 65754, 304, 17443, 31467, 7219, 17058, 25570, 1952, 74675, 2030, 15462, 6095, 13518, 36518, 458, 2746, 425, 16053, 2956, 1859, 320, 67, 2574, 25038, 13, 467, 3104, 539, 4937, 10712, 835, 70, 89541, 7256, 72077, 367, 268, 701, 2746, 97144, 8793, 141871, 7219, 330, 2414, 64, 46759, 337, 3001, 68, 35278, 285, 3263, 74303, 6772, 12583, 97144, 48686, 132894, 11595, 939, 31643, 267, 288, 11, 51290, 11, 13368, 304, 32175, 42316, 330, 43, 27899, 35723, 2356, 497, 220, 17, 20, 11, 2694, 21794, 2694, 1863, 4733, 129602, 50499, 27684, 74063, 529, 330, 11855, 2429, 4864, 51767, 2694, 66850, 1123, 68, 12385, 6616, 14612, 277, 1440, 13906, 89, 51078, 54708, 9820, 94718, 665, 62558, 265, 12385, 773, 89, 355, 8535, 1, 12643, 11834, 7997, 510, 37, 56364, 16111, 6975, 11, 19767, 364, 1127, 79192, 2974, 18175, 92364, 88795, 20005, 2988, 768, 37400, 88072, 2030, 869, 36518, 68, 36108, 39770, 333, 327, 2714, 8187, 932, 481, 6538, 34542, 481, 6616, 29003, 12063, 11331, 7997, 458, 93716, 12543, 2185, 62558, 265 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 13785, 2746, 13409, 69, 25423, 25151, 423, 71, 28658, 2185, 19767, 66850, 1123, 68, 348, 1775, 59378, 54708, 13368, 11264, 72, 18213, 392, 3808, 1844, 48519, 3362, 68, 28460, 5918, 6, 364, 37, 40405, 285, 67603, 815, 6, 601, 86, 13, 12385, 8495, 20048, 63620, 13093, 268, 2712, 304, 2823, 72101, 7219, 26769, 88072, 12385, 33278, 267, 40308, 330, 69, 28658, 4160, 30, 8408, 65754, 51528, 21982, 62558, 2396, 83, 34542, 16111, 3893, 42316, 11, 19767, 3371, 425, 823, 2636, 75, 330, 8002, 372, 6250, 275, 3605, 1, 220, 16, 24, 24, 15, 330, 50528, 32914, 642, 64, 24619, 8907, 1704, 2185, 939, 576, 1609, 268, 1, 668, 11, 19104, 10928, 6538, 42250, 77, 467, 3104, 539, 66386, 21519, 406, 510, 67049, 68627, 15719, 1531, 348, 669, 46646, 11, 14948, 4368, 576, 1609, 68, 70777, 6395, 11, 3893, 42316, 268, 32595, 59801, 2956, 12032, 15719, 11, 2746, 90817, 11, 2746, 3377, 12385, 3371, 758, 39416, 17058, 70578, 13, 7946, 11, 2746, 6538, 69507, 2746, 48158, 68876, 2746, 11331, 7997, 42153, 88185, 2694, 70578, 268, 6395, 26956, 50958, 5999, 11, 2994, 9911, 6538, 2694, 5166, 2694, 66850, 1123, 68, 50232, 1440, 11, 6616, 14612, 277, 1440, 9820, 62558, 265, 2030, 19767, 2746, 5166, 2030, 1205, 1064, 13906, 89, 51078, 54708, 9421, 89, 661, 81, 91639, 34542, 16303, 936, 25714, 53165, 14785, 50926, 1531, 11316, 9820, 29247, 5744, 2185, 31008, 47227, 4114, 268, 22385, 19349, 633, 265, 360, 713, 2746, 62558, 265, 939, 62558, 2396, 2338, 6395, 17324, 54749, 16030, 11, 13368, 7180, 53165, 8280, 2305, 392, 6433, 2694, 73580, 1087, 309, 939, 479, 4260, 392, 724, 1494, 408, 5999, 13, 12741, 576, 1609, 68, 14821, 9089, 31915, 2391, 12032, 11, 24929, 26769, 62558, 265, 304, 71017, 758, 39416, 6395, 85104, 40697, 11, 304, 2694, 140917, 2030, 38897, 140917, 13, 23980, 14821, 9820, 36195, 2030, 52193, 36568, 7256, 93393, 290, 11, 26933, 275, 11, 44390, 34734, 1952, 59330, 2185, 6395, 312, 1301, 16030, 2030, 2746, 18069, 86, 90360, 6395, 548, 2391, 30353, 11, 2746, 6538, 59228, 45515, 48414, 69876, 47650, 13, 43997, 90039, 17058, 28847, 268, 1527, 66423, 968, 2185, 11, 1850, 40697, 2746, 29505, 1268, 343, 51707, 11, 5999, 1531, 2746, 42068, 37633, 939, 576, 1609, 268, 6395, 3371, 6879, 1571, 530, 14612, 9416, 5183, 81331, 6395, 37896, 11, 2746, 19767, 2746, 62558, 265, 7219, 37285, 269, 30353, 268, 74890, 2660, 304, 9089, 11, 304, 3371, 425, 14412, 34271, 11595, 11, 2746, 12385, 71765, 304, 2694, 5166, 2030, 1205, 1064, 348, 1775, 59378, 54708, 12643, 11, 13368, 1531, 548, 90930, 17029, 14821, 13, 9740, 14821, 8725, 304, 17443, 38053, 17739, 4229, 380, 11, 5451, 17443, 259, 4738, 268, 467, 80791, 11, 2746, 29505, 1268, 343, 51707, 6395, 76133, 11759, 13, 1345, 482, 18069, 86, 90360, 41762, 42469, 24929, 6395, 55813, 336, 11002, 21062, 54913, 387, 275, 56364, 2030, 10246, 78733, 14390, 17217, 7180, 6616, 62558, 2396, 83, 11, 2746, 62558, 265, 2694, 25527, 1528, 304, 140370, 261, 58725, 1859, 6395, 5699, 54708, 2030, 70336, 62702, 2825, 34271, 268, 11993, 39, 648, 269, 383, 83592, 6538, 6975, 4292, 32, 1387, 65520, 3187, 355, 11, 304, 16625, 220, 17, 330, 4260, 295, 87475, 3303, 50280, 497, 5699, 265, 20319, 510, 1, 18175, 26692, 9111, 36614, 2694, 7219, 37285, 269, 30353, 268, 70777, 8896, 6975, 2746, 2806, 40231, 50499, 3893, 96695, 11845, 89, 18187, 5679, 7577, 72, 22385, 5451, 17058, 22539, 36964, 91853, 11, 15659, 17739, 11, 8913, 70628, 2030, 89271, 268, 6395, 5198, 4738, 268, 13, 8408, 93393, 290, 2694, 42068, 1118, 261, 2030, 576, 1609, 268, 5999, 1531, 4258, 84, 2746, 25527, 1528, 11, 384, 4079, 6772, 11, 1931, 380, 16053, 11, 595, 1222, 344, 11, 6975, 18520, 730, 13796, 22385, 6395, 55449, 28324, 11, 14821, 82197, 13, 6228, 81761, 2694, 47227, 55754, 2694, 2918, 68, 20048, 16111, 73689, 11, 14948, 11, 22075, 1531, 537, 40231, 343, 5999, 11, 63620, 7577, 72, 89249, 5451, 91853, 1626, 8535, 6395, 5198, 4738, 268, 11, 2030, 22075, 8495, 6395, 17443, 35323, 268, 576, 1609, 268, 20048, 81331, 52549, 2746, 6879, 1571, 530, 14612, 9416, 5183, 2746, 19767, 2746, 62558, 265, 7219, 37285, 269, 30353, 268, 74890, 2660, 304, 8652, 11, 304, 3371, 425, 14412, 34271, 11595, 11, 2746, 348, 1775, 59378, 54708, 12643, 12385, 71765, 304, 2694, 5166, 2030, 1205, 1064, 11, 304, 2694, 9911, 294, 32381, 32863, 11, 2994, 8725, 312, 331, 13730, 128123, 19767, 2746, 62558, 265, 77094, 7294, 2694, 25527, 1528, 633, 276, 12643, 11, 4443, 61550, 730, 53790, 2305, 273, 11, 34096, 2746, 48158, 31643, 267, 288, 8907, 962, 5267, 32, 1387, 732, 89507, 31008, 5166, 6538, 18069, 79810, 5999, 2694, 42250, 467, 3104, 539, 348, 1087, 34966, 6395, 73689, 11, 14948, 1531, 6395, 17058, 330, 627, 35649, 35070, 265, 5840, 324, 1, 939, 31643, 267, 288, 304, 37337, 268, 939, 479, 4260, 392, 724, 8793, 50837, 5999, 26, 2714, 75018, 11, 14948, 330, 641, 2823, 72101, 7219, 3371, 77420, 21673, 362, 39470, 268, 13368, 2746, 35070, 265, 5840, 324, 6538, 794, 13, 6898, 6395, 794, 13, 11044, 11, 20624, 268, 6250, 35505, 14047, 794, 13, 6898, 11, 2694, 6538, 17443, 31643, 267, 98863, 6817, 321, 4116, 11, 12385, 2746, 328, 34271, 81760, 50499, 2694, 47332, 301, 37277, 21673, 393, 2305, 79, 5342, 11, 24929, 11937, 11, 1531, 5999, 50837, 11, 9820, 35070, 265, 5840, 324, 11, 19104, 304, 2823, 72101, 7219, 70777, 939, 479, 4260, 392, 724, 2030, 2694, 88506, 3893, 73790, 3342, 10712, 47355, 939, 15098, 615, 4865, 82, 5999, 1531, 8793, 50837, 13, 6228, 80515, 9740, 77131, 2185, 2694, 77930, 2694, 25527, 1528, 21864, 71168, 51528, 11, 2746, 6975, 3371, 14785, 6538, 40462, 393, 2305, 79, 15795, 66238, 11, 2739, 324, 55632, 665, 2714, 2746, 61217, 11, 54936, 632, 26647, 23455, 312, 54327, 11, 2746, 24131, 331, 83090, 7180, 91853, 140917, 624, 18175, 61217, 4116, 59117, 1924, 67, 1020, 4330, 31643, 267, 41944, 9156, 358, 320, 83262, 220, 21, 18, 23, 701, 13065, 15151, 343, 304, 72440, 15438, 266, 273, 7964, 11, 19104, 2839, 17149, 344, 2739, 69046, 6772, 7180, 730, 42189, 485, 72, 3128, 8767, 70291, 27684, 2956, 6498, 529, 6395, 17630, 13, 34903, 62459, 8793, 304, 2746, 67232, 11, 1508, 48614, 15908, 31281, 7070, 16053, 6454, 81184, 12643, 15719, 12385 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8793, 26, 54548, 6772, 4116, 1531, 505, 74, 19786, 359, 449, 17029, 320, 2203, 10032, 336, 8, 2030, 2714, 6023, 3818, 57093, 328, 89493, 25, 2746, 61217, 21982, 40577, 6538, 91187, 1164, 14429, 320, 21, 23, 15, 12, 21, 23, 16, 701, 2746, 54936, 632, 6538, 64573, 65391, 7946, 320, 21, 23, 18, 701, 2746, 294, 98280, 6538, 2429, 23388, 89, 321, 6538, 17552, 2305, 64, 320, 22, 23, 22, 701, 2746, 3275, 13820, 304, 16824, 23388, 89, 321, 6538, 23388, 4706, 258, 453, 301, 320, 23, 21, 24, 12, 23, 22, 15, 4292, 22171, 54936, 632, 31643, 267, 11, 2694, 304, 4368, 6433, 53936, 8536, 75, 11595, 2694, 22539, 2956, 24134, 21673, 4878, 1571, 2356, 36719, 665, 11, 4116, 3757, 29288, 5543, 320, 16, 17, 19, 24, 12, 16, 18, 18, 19, 568, 9740, 26109, 6538, 72440, 4182, 25651, 17239, 2391, 5178, 11, 730, 567, 977, 8907, 94574, 3845, 89023, 455, 320, 16, 17, 23, 15, 12, 16, 18, 20, 17, 701, 2030, 773, 64015, 2714, 31287, 21176, 11, 70984, 13906, 72440, 58583, 11, 63620, 50244, 8535, 11, 2746, 48614, 31281, 7070, 16053, 6454, 81184, 43243, 5183, 13, 54105, 29288, 5543, 42668, 2755, 51898, 295, 11, 304, 57519, 13222, 321, 3591, 304, 7519, 61699, 17837, 4738, 529, 11, 2746, 47226, 220, 16, 13, 6702, 220, 16, 18, 18, 16, 2030, 220, 20, 13, 4350, 18731, 220, 16, 18, 18, 17, 11, 14948, 2746, 1345, 8398, 2694, 479, 485, 42888, 43243, 5183, 8793, 7219, 2746, 11806, 7256, 5016, 2863, 650, 91184, 2257, 14047, 2429, 58583, 12385, 14047, 2823, 408, 42603, 3841, 709, 1859, 8801, 11, 51290, 34368, 14047, 2694, 32050, 802, 267, 2636, 2185, 2030, 2429, 619, 2391, 968, 15795, 19929, 4865, 84911, 301, 27277, 12643, 13, 55448, 12412, 5999, 2694, 47227, 7180, 2746, 35070, 265, 5840, 324, 4116, 12222, 2746, 62558, 265, 624, 48047, 47827, 10928, 73689, 11, 14948, 2694, 47227, 11, 4116, 372, 11044, 2746, 16171, 46621, 939, 566, 321, 6433, 6898, 355, 25658, 12844, 11, 4116, 8793, 12222, 330, 318, 49633, 83820, 7219, 2746, 77420, 20005, 467, 14136, 2185, 5123, 1531, 4116, 4368, 30872, 465, 4818, 16672, 304, 37337, 268, 939, 479, 4260, 392, 724, 11, 13368, 6616, 61217, 6250, 35505, 31643, 267, 481, 1508, 1126, 17958, 2714, 9820, 20226, 546, 33328, 54377, 42668, 320, 258, 2694, 62467, 2739, 6023, 3818, 9089, 13368, 4368, 1260, 1387, 1536, 26, 348, 6072, 10620, 220, 17, 11, 220, 16, 18, 8, 481, 4116, 8793, 2746, 467, 15113, 22385, 939, 54706, 2356, 82, 320, 10620, 220, 17, 11, 220, 16, 19, 8, 67594, 883, 6395, 2694, 9305, 1466, 2660, 2739, 273, 14668, 11, 14948, 63620, 647, 1087, 16789, 333, 1960, 939, 22686, 2782, 7522, 20404, 295, 31793, 95723, 58881, 25531, 17790, 9820, 22539, 15398, 29189, 2185, 4886, 2944, 11, 2030, 94567, 2746, 1260, 12487, 50926, 13368, 11213, 268, 97872, 624, 81761, 94885, 14785, 17630, 2746, 57093, 730, 53790, 2305, 273, 79913, 647, 79985, 13363, 139906, 17790, 304, 2694, 330, 22113, 685, 3670, 17790, 732, 66968, 36518, 2030, 1527, 52015, 7219, 1527, 129602, 2185, 11, 7219, 9820, 22163, 70, 20005, 35070, 265, 5840, 324, 26, 1531, 5999, 11, 1147, 10110, 4979, 13906, 261, 267, 11, 8793, 18520, 4368, 1527, 11567, 4370, 36108, 94718, 1960, 23963, 288, 6538, 23998, 7409, 355, 1389, 89730, 5999, 1154, 14948, 2746, 730, 53790, 2305, 273, 34542, 624, 17360, 5999, 1007, 724, 4865, 6772, 11, 14948, 26769, 31357, 22539, 15398, 73255, 7219, 94572, 5166, 6538, 23388, 6951, 367, 6395, 62459, 11, 51290, 5436, 44977, 11, 304, 55928, 472, 1330, 4865, 11, 5451, 2429, 31643, 267, 6395, 65562, 7522, 11, 304, 2694, 93719, 6616, 93898, 22079, 6395, 387, 383, 7964, 624, 57, 324, 647, 13820, 307, 42603, 939, 5869, 67, 392, 685, 1, 2694, 57093, 730, 567, 23695, 11, 2472, 665, 304, 2694, 14101, 723, 6538, 31643, 267, 671, 671, 4463, 5963, 3511, 23353, 44359, 3362, 198, 19957, 28095, 47008, 8495, 6975, 2746, 13818, 68, 6538, 42250, 77, 467, 3104, 539, 548, 2391, 30353, 11, 2765, 610, 2746, 1527, 11567, 4370, 2030, 330, 67, 392, 685, 1, 43327, 41544, 14412, 34271, 295, 13, 23334, 8725, 6395, 11460, 11, 86913, 10638, 3196, 31151, 268, 12222, 9820, 83141, 383, 6538, 70777, 11, 2746, 2694, 56872, 939, 36518, 288, 2746, 730, 53790, 2305, 273, 8343, 83, 9089, 11, 34699, 51292, 511, 1543, 2918, 288, 624, 35, 13, 220, 16, 481, 330, 17360, 4116, 4368, 4818, 16672, 11, 14948, 68009, 9820, 566, 307, 77, 10559, 650, 9995, 306, 517, 52817, 1963, 13820, 79551, 58881, 11, 32248, 370, 2894, 1519, 321, 1991, 59378, 37347, 6, 25655, 82197, 7521, 624, 49, 13, 481, 8408, 92660, 6538, 32248, 370, 6395, 330, 1519, 321, 1991, 59378, 37347, 1, 5999, 8793, 7219, 59785, 2694, 350, 1862, 1777, 11, 14948, 9911, 9820, 52817, 1963, 13820, 4116, 13, 20004, 31008, 350, 1862, 1777, 15719, 1531, 19349, 11, 14948, 10928, 52817, 1963, 13820, 2952, 14668, 67317, 320, 133238, 18520, 91717, 43183, 392, 7256, 8, 20048, 62702, 35780, 440, 11460, 11, 5451, 92660, 2694, 140526, 21673, 95151, 1021, 26, 19104, 8725, 81831, 295, 8793, 11, 14948, 32248, 370, 11, 90039, 2694, 77930, 939, 1260, 8669, 387, 343, 295, 56364, 6395, 17630, 11, 2746, 2714, 3739, 1127, 566, 321, 24129, 610, 10938, 95151, 1021, 320, 704, 78733, 97168, 44275, 48614, 304, 2694, 95506, 19349, 11, 2746, 468, 29272, 380, 645, 6395, 308, 21519, 932, 8, 42668, 624, 35, 13, 220, 17, 481, 330, 17360, 4116, 4368, 4818, 16672, 11, 14948, 10588, 7180, 9820, 468, 383, 20512, 9034, 258, 1079, 34834, 5481, 1323, 359, 12495, 1501, 645, 65, 289, 23118, 2030, 76720, 2746, 95151, 1021, 2694, 54706, 285, 36616, 22539, 21519, 1440, 30, 9236, 4116, 4368, 4818, 16672, 11, 14948, 74021, 8793, 73689, 11, 47008, 8495, 3371, 29860, 11, 2694, 9911, 4116, 12385, 13368, 3240, 32619, 2030, 29505, 5191, 6395, 97872, 7521, 624, 49, 13, 481, 8408, 350, 1862, 1777, 11, 10207, 4865, 7714, 77509, 458, 11, 14948, 2746, 23166, 6433, 11, 2746, 304, 17443, 93716, 437, 2694, 328, 97310, 12583, 10928, 6538, 10588, 3686, 355, 65562, 7522, 20048, 11, 2030, 572, 36408, 1358, 6772, 5999, 11, 8793, 304, 17443, 93716, 437, 2694, 95151, 1021, 19349, 11, 1531, 6395, 11460, 26, 732, 98863, 6817, 321, 5999, 1531, 2746 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 357, 21545, 7256, 62558, 265, 2694, 25527, 1528, 11, 2746, 16111, 304, 17443, 93716, 437, 2694, 95151, 1021, 6395, 80617, 566, 321, 7256, 87727, 16192, 19349, 35141, 13, 2055, 512, 4079, 665, 2714, 794, 13, 75852, 83369, 7946, 25, 330, 40369, 93328, 17790, 76, 1127, 74054, 51721, 896, 23129, 11, 14948, 3000, 17029, 2030, 25531, 458, 44340, 2030, 794, 6712, 304, 2694, 25527, 1528, 19349, 11, 2746, 97504, 11, 14047, 2694, 6616, 23388, 89, 321, 6538, 12359, 306, 55879, 96815, 2122, 285, 16030, 3371, 92219, 709, 67746, 2185, 939, 46759, 2010, 6898, 355, 11, 14948, 6395, 73689, 11, 4443, 2746, 468, 29272, 380, 645, 304, 17443, 43243, 67, 6433, 6395, 57984, 2894, 50855, 35141, 6395, 261, 267, 38897, 328, 34271, 268, 49933, 40193, 11, 22075, 883, 9089, 26956, 355, 267, 350, 29697, 97310, 22022, 36, 638, 92237, 409, 468, 29272, 380, 685, 220, 18, 21, 9940, 5999, 624, 35, 13, 220, 18, 481, 330, 17360, 4116, 4368, 4818, 16672, 11, 14948, 10588, 15462, 47669, 30563, 263, 304, 2429, 20404, 42189, 40948, 1274, 85885, 42668, 9820, 468, 383, 20512, 9034, 258, 19767, 6616, 16809, 55632, 6395, 2112, 1960, 2714, 25658, 1167, 30, 758, 36744, 14785, 8896, 2694, 4229, 380, 939, 20404, 295, 31793, 11, 14948, 6616, 25620, 44914, 33370, 20404, 295, 31793, 10489, 1902, 331, 265, 41538, 9911, 16034, 1260, 321, 6395, 90845, 7521, 624, 49, 13, 481, 12741, 4229, 380, 939, 20404, 295, 31793, 8896, 6616, 43908, 25620, 44914, 1952, 20404, 42189, 96441, 965, 74, 19786, 4711, 11, 6616, 1260, 321, 2694, 51743, 6395, 90845, 11, 8793, 35323, 9421, 2694, 34506, 42603, 6395, 82195, 12495, 11, 51290, 10928, 21982, 36890, 6433, 58583, 6395, 387, 24716, 3591, 624, 35, 4288, 278, 65, 5999, 10588, 8793, 12222, 34749, 3457, 645, 5699, 9692, 11, 19104, 9911, 85389, 10928, 330, 82, 34271, 7256, 8793, 18520, 5123, 2030, 773, 9089, 2375, 477, 32863, 11, 14948, 58881, 11316, 304, 2694, 95506, 19349, 11, 14948, 9911, 8793, 10712, 328, 97310, 82197, 624, 32617, 38383, 20404, 42189, 939, 4229, 74360, 5999, 304, 2694, 62467, 50232, 3342, 12304, 1260, 321, 9878, 11, 90039, 2694, 29505, 94650, 939, 42786, 14047, 2429, 9740, 1279, 97310, 13, 44462, 29201, 331, 2142, 355, 2694, 32895, 337, 17739, 25527, 1528, 11, 304, 16625, 220, 16, 24, 22, 17, 330, 32617, 38383, 20404, 42189, 4081, 93339, 14821, 11, 48179, 6616, 20404, 42189, 2694, 95151, 1021, 11, 52507, 19767, 3371, 479, 4260, 75967, 2030, 2746, 38767, 2396, 6817, 11, 2739, 62785, 426, 2746, 64560, 2694, 95151, 1021, 11, 6395, 1424, 17454, 1, 2030, 10928, 8793, 2746, 328, 97310, 18520, 2030, 8793, 468, 383, 1323, 1387, 6395, 387, 709, 12032, 624, 35, 13, 220, 19, 481, 330, 26034, 74675, 16111, 3893, 380, 343, 732, 70944, 69, 34699, 502, 1952, 1345, 8398, 11, 56354, 2694, 95151, 1021, 11, 2746, 25620, 1122, 268, 2030, 26252, 2739, 383, 404, 266, 295, 11, 2694, 91929, 267, 81760, 2746, 77310, 2396, 306, 1574, 68832, 258, 42603, 5451, 10588, 289, 66107, 7522, 30, 34903, 2770, 43506, 268, 11, 14948, 8495, 8793, 39771, 7180, 9911, 74675, 30, 8408, 467, 16568, 9066, 84, 25, 364, 91992, 6395, 8652, 51528, 11, 3371, 86913, 10638, 304, 8793, 305, 2210, 355, 33052, 26824, 6, 320, 41, 2267, 220, 21, 11, 220, 18, 22, 8, 12643, 1757, 275, 8793, 7180, 9911, 17837, 1960, 7521, 624, 49, 13, 481, 1863, 359, 92975, 5999, 6395, 26956, 68, 23129, 11, 14948, 2746, 1345, 8398, 2694, 25620, 1122, 33370, 2030, 26252, 2739, 383, 404, 266, 33748, 76604, 273, 7964, 330, 1127, 29860, 2030, 51743, 1, 12583, 56354, 2694, 95151, 1021, 13, 54068, 50244, 424, 52549, 6975, 2770, 43506, 268, 11, 14948, 2746, 25038, 13, 467, 3104, 539, 8896, 31357, 25494, 20226, 546, 91513, 57926, 2185, 47226, 140526, 21673, 95151, 1021, 320, 38, 77, 1021, 11, 2746, 77549, 900, 11, 62702, 350, 13518, 6395, 11460, 26956, 50659, 11, 2746, 1032, 331, 8935, 529, 42603, 2694, 647, 29886, 485, 50158, 11, 2746, 8793, 650, 2721, 74919, 19767, 2746, 350, 1862, 1777, 11, 37896, 26769, 8536, 75, 11595, 55449, 4865, 8, 2030, 566, 321, 24129, 610, 10938, 95151, 1021, 624, 32, 1387, 12304, 3240, 2391, 1107, 6395, 26252, 8452, 268, 11, 2746, 8793, 304, 2694, 95151, 1021, 479, 48253, 11, 2746, 566, 321, 7256, 87727, 16192, 8793, 8486, 42477, 268, 15719, 11, 81831, 295, 8793, 11, 14948, 16111, 34699, 9911, 59095, 1307, 30353, 25, 13368, 883, 1531, 8793, 732, 70944, 69, 34699, 9911, 51620, 31580, 93837, 11, 10712, 2714, 85389, 11, 304, 330, 93428, 2396, 306, 372, 3261, 275, 3605, 497, 14948, 330, 60637, 25620, 1122, 268, 2030, 26252, 2739, 383, 404, 266, 295, 11, 90039, 54649, 68378, 11, 9911, 30632, 41557, 304, 2746, 25527, 1528, 142037, 11, 2746, 9911, 5451, 9057, 14184, 261, 328, 6670, 2030, 3371, 467, 80791, 2148, 273, 41538, 6395, 27418, 48414, 11, 773, 85117, 13368, 50837, 6616, 25769, 21673, 55397, 19767, 142832, 68947, 7256, 47355, 72164, 458, 2694, 386, 23318, 11, 22075, 10928, 28883, 87727, 16192, 11, 5451, 17443, 27785, 5191, 12385, 17443, 2157, 1571, 939, 3893, 380, 21673, 65314, 11, 472, 287, 8229, 458, 6616, 55397, 2694, 93719, 16034, 93504, 68009, 11, 2746, 384, 29272, 380, 10559, 1527, 28551, 2185, 11, 44336, 295, 11, 2746, 47355, 72164, 1079, 55397, 2694, 77775, 1330, 20542, 11, 384, 4079, 20005, 13393, 6395, 42759, 1440, 11, 796, 19985, 295, 2746, 27227, 23455, 11, 2746, 6250, 15897, 37633, 2185, 17312, 44492, 2185, 4443, 34749, 43999, 11993, 39, 648, 269, 383, 83592, 305, 40522, 4733, 30166, 5178, 4292, 35, 13, 220, 20, 481, 330, 26034, 7107, 14033, 42603, 939, 1260, 321, 6433, 31643, 267, 393, 9156, 39712, 11, 14948, 1863, 344, 457, 383, 7180, 2746, 32895, 337, 36433, 5999, 43786, 4865, 82, 323, 12917, 10712, 4368, 41852, 66897, 408, 288, 2030, 63573, 67, 6772, 23388, 74, 392, 258, 266, 58336, 55625, 51274, 3828, 65, 1038, 3295, 348, 674, 3427, 372, 4567, 6395, 64573, 51620, 52879, 93837, 3893, 21545, 529, 8896, 2714, 9057, 62713, 11, 14948, 6616, 1967, 307, 31008, 42786, 4368, 364, 38, 288, 7522, 74, 458, 2746, 25527, 1528, 6, 5999, 320, 54, 3818, 69, 20933, 1167, 64260, 11, 220, 17, 13, 80157, 220, 17, 15, 16, 17, 8, 7521, 624, 49, 13, 481, 8408, 69791, 50244, 8535, 8793 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 9724, 388, 66693, 331, 6772, 12583, 11, 19104, 80260, 20005, 23388, 2986, 24151, 9421, 3612, 91639, 25, 2746, 467, 16568, 6538, 31643, 267, 51620, 31580, 93837, 512, 71, 1440, 6975, 11, 14948, 6616, 1967, 307, 481, 3893, 42316, 19767, 6616, 37210, 355, 267, 48435, 304, 2694, 328, 97310, 6395, 19349, 2030, 8793, 304, 2694, 95506, 6395, 19349, 11, 2746, 566, 321, 7256, 87727, 16192, 6395, 308, 21519, 932, 481, 1531, 15719, 6395, 3686, 72, 1967, 12487, 72943, 396, 12643, 2587, 12304, 26769, 53383, 1967, 12487, 20048, 2746, 140526, 21673, 95151, 21140, 9421, 40334, 408, 5999, 11, 4443, 3371, 4841, 268, 939, 328, 34271, 388, 6395, 26956, 19981, 9089, 2714, 42316, 11, 773, 14948, 2714, 36108, 350, 1134, 304, 2694, 95151, 1021, 479, 48253, 97872, 20048, 13, 141196, 51620, 31580, 93837, 11, 9421, 20624, 268, 52639, 46668, 11386, 383, 1527, 65423, 27684, 76166, 11, 2714, 8896, 9820, 8793, 10207, 2391, 14553, 4865, 6433, 647, 6215, 355, 746, 38132, 7180, 2746, 90817, 11, 2746, 38767, 2396, 6817, 304, 17443, 93716, 437, 2694, 328, 97310, 6395, 308, 21519, 932, 624, 16, 481, 12741, 36518, 6538, 42250, 77, 467, 3104, 539, 64208, 41203, 83758, 86, 35010, 10938, 91717, 268, 2863, 343, 51707, 2030, 4863, 41137, 11595, 11, 2746, 97144, 304, 54649, 23153, 43910, 6395, 73580, 1087, 309, 139115, 2429, 62558, 2396, 83, 11, 57465, 39337, 2746, 348, 6670, 1323, 53776, 13818, 68, 17312, 794, 28658, 38132, 54649, 18069, 86, 90360, 2030, 70777, 458, 2746, 57093, 730, 53790, 2305, 273, 624, 17, 481, 91265, 12583, 10928, 304, 2694, 39449, 1487, 16053, 11, 2994, 11, 13368, 16111, 342, 81184, 17630, 11, 74539, 485, 49279, 1854, 8400, 1389, 11595, 2694, 431, 2305, 372, 6772, 51707, 74247, 12032, 25, 14804, 81831, 295, 16034, 79192, 2746, 52817, 1963, 13820, 32248, 370, 5451, 25620, 1122, 33370, 2030, 8267, 398, 26252, 3893, 383, 404, 266, 295, 30, 9236, 5999, 4368, 38805, 61805, 261, 14785, 624, 18, 481, 13368, 12304, 11, 2746, 304, 330, 6091, 50280, 1187, 295, 87475, 1, 6395, 2429, 25180, 268, 91853, 83126, 577, 332, 343, 51707, 9530, 268, 56945, 11, 10928, 42250, 467, 3104, 539, 17790, 54459, 6616, 31932, 1528, 422, 457, 15895, 330, 17977, 16192, 11937, 481, 63694, 608, 87727, 16192, 8793, 481, 472, 13977, 665, 939, 6252, 18549, 497, 22075, 1531, 9089, 4443, 95151, 1021, 10339, 2746, 23166, 6433, 11, 2746, 304, 17443, 93716, 437, 2694, 328, 97310, 97872, 11, 52507, 9911, 2746, 38767, 2396, 6817, 2694, 512, 65, 19875, 8793, 308, 21519, 932, 20048, 13, 330, 3830, 76, 2030, 289, 15113, 81760, 343, 2714, 30166, 654, 83, 12583, 1, 320, 20420, 220, 23, 19, 320, 23, 20, 701, 220, 16, 16, 4292, 17360, 42137, 51939, 11, 8495, 56945, 11, 14948, 1531, 25494, 31643, 267, 595, 5186, 89, 6772, 293, 2178, 1923, 35363, 41852, 36568, 6433, 22539, 65935, 6395, 19349, 11, 2746, 6616, 38650, 2694, 82146, 5566, 21673, 425, 2178, 1923, 35363, 26612, 48376, 823, 21558, 3342, 11, 2746, 304, 2429, 472, 64864, 6395, 2694, 48158, 647, 69038, 2694, 29003, 28324, 3660, 19972, 3893, 85426, 47650, 481, 4368, 9919, 28324, 2694, 93716, 12543, 2185, 939, 472, 12543, 2010, 481, 2746, 19104, 8896, 25531, 74054, 1850, 61700, 14948, 2746, 23166, 6433, 11, 2746, 304, 17443, 93716, 437, 2694, 328, 97310, 97872, 8793, 2746, 87727, 16192, 8486, 42477, 268, 20048, 624, 19, 481, 16887, 24929, 11, 511, 3591, 9911, 384, 4079, 6772, 11, 22075, 1531, 773, 35323, 68573, 330, 67, 392, 685, 1, 730, 53790, 2305, 273, 11, 6395, 76133, 11759, 11, 52507, 2694, 31643, 267, 9089, 8793, 53835, 2030, 8793, 312, 351, 16030, 30, 16887, 22075, 330, 6091, 50280, 1187, 295, 87475, 1, 4116, 773, 72734, 11, 13368, 2746, 20404, 7522, 440, 42250, 467, 3104, 539, 11, 52507, 16111, 773, 41983, 42944, 1574, 49633, 41210, 17630, 11, 2694, 93898, 42584, 958, 3848, 39537, 802, 268, 5679, 11, 773, 21864, 66423, 275, 5267, 2428, 1110, 2136, 18173, 5963, 3511, 16597, 277, 316, 3362, 15593, 62441, 72, 1112, 267, 7836, 1737, 278, 2268, 18321, 5894, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 23, 481, 506, 1902, 65845, 40308, 25, 96520, 220, 18, 15, 15, 45506, 27298, 1531, 3371, 13815, 15671, 2502, 332, 54913, 304, 11461, 467, 324, 89, 610, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 23, 198, 10141, 91712, 37633, 25, 220, 22, 13, 72124, 220, 17, 15, 16, 22, 760, 56872, 25, 26154, 449, 21226, 69252, 891, 760, 3680, 709, 71168, 21506, 25, 73763, 29493, 51, 2794, 11, 64237, 20156, 320, 3748, 343, 6138, 760, 27683, 25, 11461, 467, 324, 89, 610, 11, 42584, 958, 69, 45481, 267, 11, 2502, 332, 54913, 11, 25453, 32030, 372, 11, 472, 75, 13, 2502, 332, 11, 79280, 321, 2305, 372, 13, 39770, 48672, 16823, 83, 11, 506, 1902, 65845, 40308, 11, 36351, 1389, 11, 1032, 2015, 776, 89, 1338, 11, 9736, 69, 1466, 3342, 11, 1205, 287, 23118, 760, 39, 2245, 75, 13256, 15462, 67489, 277, 198, 2428, 1110, 1762, 2142, 71110, 355, 39650, 905, 14, 17, 15, 16, 1112, 258, 1455, 329, 2630, 324, 89, 610, 5894, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 21, 481, 67775, 92583, 7272, 27785, 5191, 27684, 59141, 304, 64715, 466, 1455, 295, 44914, 33370, 13222, 19791, 41658, 33706, 645, 304, 647, 266, 22222, 17739, 98344, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 21, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 21, 481, 9740, 25329, 285, 958, 69, 1274, 295, 11, 66983, 1909, 1717, 13222, 19791, 41658, 49096, 344, 37122, 5699, 265, 3591, 2988, 2391, 1528, 2030, 9450, 44977, 40662, 5451, 73794, 198, 19462, 25329, 285, 958, 69, 1274, 295, 11, 66983, 1909, 1717, 13222, 19791, 41658, 49096, 344, 37122, 5699, 265, 3591, 2988, 2391, 1528, 2030, 9450, 44977, 40662, 5451, 73794, 198, 83181, 12009, 960, 759, 40854, 1154, 13222, 48200, 36614, 198, 13095, 52491, 50, 29365, 11, 220, 17, 18, 13, 5813, 220, 17, 15, 16, 18, 320, 9414, 17597, 14373, 905 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 481, 758, 17058, 2714, 20491, 359, 21673, 15017, 54377, 2694, 5836, 723, 6984, 732, 7416, 288, 4865, 36108, 35515, 45699, 1527, 901, 18852, 1501, 645, 65, 2694, 35975, 2694, 595, 587, 337, 17739, 25527, 1528, 304, 22475, 3591, 11, 9740, 25329, 285, 958, 69, 26427, 12009, 960, 759, 40854, 11, 11122, 71, 343, 5451, 3371, 4928, 268, 11, 2746, 732, 44336, 295, 1079, 60404, 46680, 25620, 76166, 47650, 44462, 57093, 1909, 1717, 47610, 40662, 5451, 5016, 265, 3591, 2030, 2988, 2391, 7522, 32175, 901, 3092, 268, 2030, 40662, 5451, 73794, 65078, 901, 40308, 17630, 624, 17360, 5999, 8793, 6616, 61217, 8394, 11, 14948, 2694, 42584, 958, 69, 32175, 901, 3092, 268, 26109, 11, 4443, 7180, 2746, 62558, 265, 2694, 25527, 1528, 13785, 13222, 48200, 36614, 7219, 89, 590, 40697, 2030, 38897, 328, 6670, 7180, 2746, 23166, 6433, 6395, 12709, 134662, 932, 11, 2746, 3371, 27308, 70628, 65314, 267, 321, 97872, 624, 22171, 33328, 13464, 282, 437, 458, 2694, 22143, 33, 12, 64615, 36614, 304, 3240, 30203, 301, 67317, 11, 23738, 2694, 9740, 25329, 285, 958, 69, 458, 17058, 1581, 13718, 665, 13785, 2502, 300, 59941, 645, 12010, 288, 295, 2986, 77414, 38130, 76, 624, 18175, 57093, 47610, 11, 2746, 2746, 1298, 12, 5830, 10157, 579, 2185, 2030, 2746, 27308, 29937, 2825, 58498, 434, 2716, 953, 30636, 90930, 77399, 11, 68917, 5676, 7219, 2746, 425, 21558, 811, 11, 23738, 9911, 1197, 2024, 2956, 7997, 1960, 11, 4443, 5699, 44704, 2371, 336, 92320, 4270, 17205, 7219, 52716, 34343, 1960, 1163, 84, 12032, 2030, 75074, 268, 6395, 85239, 11, 13368, 330, 2660, 258, 135720, 44390, 3184, 17454, 1, 2030, 330, 2082, 355, 21805, 51528, 13, 330, 8495, 305, 13029, 1960, 10928, 2746, 9919, 28324, 330, 623, 4775, 13222, 5127, 674, 645, 3263, 8408, 47610, 489, 89289, 3371, 9740, 25329, 285, 958, 69, 5451, 73794, 9421, 2988, 300, 7522, 11, 2746, 732, 44492, 2694, 49332, 96115, 23016, 1197, 84884, 12583, 624, 3189, 54988, 66419, 12412, 67746, 2185, 25, 650, 18549, 17029, 340, 42, 93790, 8495, 7219, 330, 45702, 497, 22075, 8495, 30872, 665, 468, 383, 143562, 624, 80593, 2746, 84701, 1527, 901, 43414, 11, 2746, 9820, 83141, 383, 6538, 80624, 88280, 50958, 11, 94505, 2746, 47610, 9421, 2694, 425, 21558, 811, 3893, 30781, 11595, 12643, 16540, 42469, 11, 822, 7997, 2694, 9740, 25329, 285, 958, 69, 40854, 5451, 73794, 5451, 25620, 9379, 33370, 4928, 268, 732, 44336, 295, 13, 28275, 2694, 55827, 324, 65948, 7997, 665, 2694, 9740, 25329, 285, 958, 69, 6616, 44492, 2694, 49332, 96115, 23016, 7219, 17058, 2694, 73794, 1489, 300, 7522, 11, 2746, 13279, 2429, 1527, 901, 3092, 74191, 26109, 13, 1967, 2055, 404, 10207, 89730, 11, 14948, 17058, 2694, 1333, 648, 25121, 268, 6538, 2429, 9740, 25329, 285, 958, 69, 85389, 25, 330, 19462, 4116, 25494, 11122, 71, 343, 2030, 2755, 51898, 7714, 9820, 44336, 1415, 267, 14033, 665, 13, 25861, 35141, 2770, 43506, 268, 11, 14948, 2714, 7180, 6975, 1274, 7714, 13, 6228, 43, 2717, 434, 2716, 953, 26109, 2694, 1527, 901, 3092, 939, 60404, 267, 2032, 13906, 57519, 69713, 6538, 17443, 31467, 458, 4188, 4308, 406, 1154, 304, 2429, 9740, 25329, 285, 958, 69, 40854, 85389, 11, 14948, 2714, 13279, 3686, 268, 11, 2746, 17312, 13222, 48200, 36614, 14862, 17917, 12583, 11, 6616, 1863, 2956, 2740, 266, 348, 79985, 43183, 5178, 11, 13368, 1531, 7180, 12304, 18069, 89, 1267, 1270, 268, 36408, 1358, 6772, 5999, 624, 33, 485, 1199, 732, 37419, 220, 17, 15, 15, 22, 11, 10712, 42584, 958, 69, 6538, 29974, 324, 11, 26109, 9740, 25329, 285, 958, 69, 40854, 83281, 17058, 6250, 709, 12032, 34699, 3371, 1656, 70, 17739, 22992, 10911, 395, 2142, 355, 6691, 5840, 7180, 2746, 8907, 1704, 2185, 27308, 84, 7073, 8536, 75, 11595, 330, 370, 8252, 1, 32175, 10561, 62713, 659, 2362, 37419, 220, 17, 15, 15, 23, 26109, 2714, 6538, 13222, 5127, 674, 645, 12010, 3065, 21558, 1440, 14047, 2429, 32050, 723, 85885, 13906, 19929, 4865, 17239, 2305, 372, 83, 16448, 1427, 37419, 220, 17, 15, 16, 15, 26109, 2694, 9740, 25329, 285, 958, 69, 10712, 834, 8801, 9740, 25329, 285, 958, 69, 6538, 3240, 30203, 301, 6538, 27308, 70628, 2825, 89097, 458, 4188, 776, 7522, 2030, 21982, 9486, 649, 54840, 1713, 268, 2739, 324, 665, 2963, 11, 14047, 27431, 2714, 14410, 62713, 42668, 11, 14948, 44960, 9820, 39455, 709, 6538, 5214, 517, 336, 38667, 423, 35505, 42137, 11, 88748, 331, 83090, 27308, 84, 7073, 1839, 84, 7073, 49096, 344, 36614, 624, 32, 1387, 732, 37419, 220, 17, 15, 16, 15, 26109, 2714, 304, 53936, 32895, 291, 45040, 6538, 17443, 29860, 32175, 901, 3092, 268, 11, 2694, 9820, 730, 16838, 13920, 16568, 732, 9740, 25329, 285, 958, 3848, 20404, 4865, 5699, 674, 13, 55448, 732, 37419, 220, 17, 15, 16, 16, 4116, 30353, 27308, 29937, 49096, 344, 37122, 458, 2694, 595, 587, 337, 17739, 142485, 6538, 9729, 85, 466, 52826, 12, 8813, 56023, 13279, 3240, 30203, 301, 15462, 393, 8347, 287, 732, 9740, 25329, 285, 958, 69, 1991, 288, 4865, 624, 19462, 25329, 285, 958, 69, 40854, 4116, 4368, 10487, 52662, 141785, 7070, 7180, 2746, 1298, 87808, 7671, 365, 791, 2185, 304, 22475, 3591, 2030, 8151, 610, 7219, 71017, 48158, 135777, 7180, 6616, 55397, 732, 37419, 220, 17, 15, 16, 15, 624, 2428, 1110, 2136, 918, 82295, 14668, 27744, 905, 27355, 59973, 8221, 1112, 67, 1737, 1530, 2832, 318, 2630, 275, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 20, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 16, 481, 730, 567, 977, 11, 2694, 5451, 2694, 647, 266, 22222, 17739, 13222, 19791, 70628, 18607, 22157, 5999, 11, 1274, 52277, 330, 30487, 8543, 68, 1, 732, 35515, 94211, 65314, 267, 198, 58170, 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 17, 16, 198, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 16, 24, 481, 6909, 1717, 1298, 12, 5830, 10157, 579, 2185, 49096, 79144, 10464, 83, 7219, 23682, 277, 66983, 2694, 1205, 90550, 81006, 8828, 325, 732, 730, 49802, 1194, 20751, 198, 58170 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1788, 1923, 16, 15, 220, 15, 22, 13, 15, 22, 13, 17, 15, 16, 22, 220, 15, 15, 25, 16, 24, 198, 5366, 1717, 1298, 12, 5830, 10157, 579, 2185, 49096, 79144, 10464, 83, 7219, 23682, 277, 66983, 2694, 1205, 90550, 81006, 8828, 325, 732, 730, 49802, 1194, 20751, 198, 17, 13, 4350, 18731, 220, 17, 15, 16, 19, 320, 9414, 17597, 14373, 905, 873, 481, 18069, 1909, 1717, 57086, 1944, 1268, 5451, 2694, 10207, 2391, 13920, 343, 1960, 36912, 17739, 2825, 58498, 434, 2716, 953, 21506, 1323, 610, 2746, 1205, 90550, 81006, 370, 408, 5251, 23318, 304, 141377, 2030, 10464, 83, 7219, 3371, 23682, 277, 5451, 3371, 93504, 268, 330, 40369, 9544, 68009, 1, 13785, 52716, 8444, 704, 624, 43, 2717, 434, 2716, 953, 82, 16023, 4116, 2746, 62467, 4368, 36659, 330, 709, 4370, 2746, 647, 266, 22222, 10559, 3911, 351, 9817, 13785, 2746, 730, 57040, 285, 36616, 2694, 3680, 10157, 579, 2185, 22956, 22171, 730, 49802, 1194, 20751, 387, 1923, 652, 5178, 3371, 730, 567, 977, 13431, 81, 25329, 285, 958, 69, 10946, 64918, 318, 2157, 285, 1194, 11, 2694, 2746, 386, 23318, 1152, 17029, 2030, 14047, 3371, 16942, 3342, 21673, 3264, 3591, 458, 36744, 12353, 220, 23, 15, 48015, 4797, 26109, 624, 22171, 36659, 1268, 10938, 11, 2746, 220, 17, 15, 13333, 36956, 7256, 15115, 482, 82176, 11, 26109, 6538, 2694, 74303, 22385, 939, 422, 6940, 70511, 4370, 46646, 13, 444, 2717, 434, 2716, 953, 59945, 295, 9911, 7219, 9820, 794, 9416, 2185, 939, 6694, 72, 2956, 11759, 87788, 82, 2030, 15719, 14840, 6395, 57519, 45506, 55857, 25423, 25151, 64857, 624, 18175, 2825, 58498, 8896, 2746, 595, 587, 337, 10559, 25527, 1528, 330, 896, 41846, 51309, 3818, 2185, 1, 22539, 277, 406, 11, 22075, 82176, 8793, 3457, 49539, 27277, 14821, 13, 330, 53750, 362, 4733, 7180, 4368, 362, 4733, 11, 4368, 1863, 29560, 7180, 15462, 1863, 29560, 497, 5699, 73461, 9911, 624, 13310, 3591, 10207, 28698, 11, 14948, 434, 2716, 953, 85389, 11, 14948, 2694, 36659, 10928, 34699, 2746, 330, 11553, 380, 17739, 2030, 70221, 278, 17739, 1, 12380, 268, 939, 730, 567, 23695, 4116, 624, 65835, 444, 18966, 47143, 10207, 89730, 8896, 11, 8896, 2157, 285, 1194, 304, 17443, 595, 5186, 89, 21673, 31467, 47610, 53797, 2739, 276, 14493, 267, 11, 330, 25655, 472, 3454, 6395, 90556, 2030, 57519, 12385, 57093, 43999, 304, 2746, 44966, 6395, 90845, 497, 4443, 2746, 2429, 25058, 10559, 16447, 1064, 33315, 8166, 6395, 387, 19875, 624, 1912, 23747, 1933, 8896, 67015, 300, 75260, 14408, 5342, 44336, 324, 1960, 7698, 11, 29167, 22157, 5451, 1084, 55318, 624, 50, 538, 277, 9805, 440, 434, 50753, 261, 2739, 324, 55632, 1960, 82176, 82, 8536, 75, 11595, 13, 330, 18175, 362, 39470, 6538, 434, 16335, 304, 2694, 730, 49802, 1194, 32895, 291, 45040, 4116, 592, 78881, 2301, 2030, 9820, 16950, 44226, 7256, 794, 9416, 2185, 2694, 68832, 4079, 261, 66983, 36108, 479, 48253, 67, 3591, 267, 288, 497, 85389, 10882, 7052, 28718, 11, 43093, 778, 1726, 9034, 7180, 2746, 9805, 440, 94063, 811, 3660, 19972, 624, 641, 17058, 293, 11155, 1440, 2030, 650, 89, 355, 36772, 71, 25423, 19875, 3877, 7219, 54649, 16023, 13785, 3371, 33328, 13464, 11, 5699, 44914, 434, 2716, 953, 25, 330, 54118, 27557, 11, 289, 610, 7219, 11, 3845, 3091, 267, 4368, 5223, 11098, 19349, 11, 4443, 26769, 29824, 343, 1960, 4270, 85349, 758, 9202, 275, 23647, 320, 51777, 8, 91929, 267, 6395, 80617, 13, 1674, 642, 435, 645, 13920, 14047, 434, 2305, 360, 25151, 50926, 76720, 87541, 40308, 12643, 320, 51777, 41295, 87722, 512, 1371, 51743, 320, 51777, 41295, 9236, 512, 1371, 2746, 467, 79748, 320, 51777, 41295, 16292, 3981, 52088, 1220, 56, 16292, 3981, 13676, 2749, 45, 0, 358, 2149, 82609, 479, 23798, 24734, 37, 2716, 953, 8896, 9089, 7219, 2694, 24851, 5679, 44966, 15462, 84100, 69876, 11, 4443, 9820, 83141, 383, 6538, 7448, 89, 2956, 12495, 1909, 1717, 36659, 268, 11, 15269, 29159, 9820, 34699, 3371, 1656, 70, 17739, 9740, 25329, 285, 958, 69, 26427, 12009, 960, 759, 40854, 732, 37801, 524, 33370, 5813, 13, 151643, 26317, 7816, 33735, 481, 60021, 21062, 360, 91818, 45251, 2285, 198, 18175, 22318, 29937, 4389, 2576, 275, 4002, 2694, 92191, 67775, 21062, 94211, 732, 9784, 4895, 198, 17360, 5999, 264, 1362, 541, 408, 11, 14948, 2746, 9784, 7816, 49096, 344, 64321, 1960, 2694, 67775, 21062, 94211, 25494, 80260, 6772, 12583, 2030, 1148, 676, 4368, 434, 16074, 723, 301, 47808, 92191, 67775, 21062, 94211, 7219, 18228, 1728, 7997, 38130, 5676, 732, 9784, 7816, 23334, 30102, 83769, 5566, 73197, 28698, 13, 8408, 548, 90930, 77399, 1863, 58193, 2030, 434, 585, 1960, 357, 36772, 6538, 3371, 7659, 3591, 2694, 67775, 21062, 1111, 362, 35649, 2030, 2694, 1967, 454, 83103, 142485, 444, 2391, 811, 10269, 13, 8408, 67775, 21062, 1111, 362, 35649, 5999, 41488, 220, 17, 15, 16, 15, 304, 2694, 9784, 7816, 49890, 331, 2185, 49183, 2030, 15236, 3296, 17029, 41488, 220, 17, 15, 16, 18, 5451, 25179, 68683, 71, 519, 6538, 2694, 142485, 444, 2391, 811, 10269, 13, 758, 2694, 7659, 645, 12643, 9443, 58773, 467, 13820, 11, 92283, 6566, 440, 1615, 266, 6772, 57686, 32030, 25, 5573, 11, 5085, 44662, 1599, 1718, 11, 13370, 11, 6271, 13, 72998, 41557, 58237, 304, 36744, 76604, 20658, 9443, 58773, 467, 13820, 9820, 90796, 7256, 30976, 273, 25, 9784, 7816, 52809, 21853, 11, 12911, 70296, 19298, 11, 9784, 7816, 33735, 11, 7816, 33735, 11, 10254, 28979, 624, 18175, 304, 9913, 2071, 67775, 21062, 94211, 732, 9784, 4895, 198, 16, 23, 78233, 320, 45, 284, 220, 22, 24, 8, 2694, 92191, 67775, 21062, 94211, 17630, 9089, 304, 48803, 336, 2694, 136740, 92283, 6566, 440, 31247, 461, 529, 13, 8495, 17630, 9820, 264, 1362, 541, 408, 84187, 38486, 328, 4865, 2257, 26612, 54649, 94376, 732, 51309, 54371, 6395, 3371, 38684, 67775, 21062, 94211, 25, 19000, 140385, 11, 8793, 12222, 2746, 9784, 7816, 328, 4865, 2257, 26612, 63940, 13279, 18084, 320, 58170, 220, 16, 15, 15, 701, 51290, 10928, 2746, 14410, 309, 665, 328, 4865, 2257, 26612, 2694, 94376, 63940, 19767, 82, 88718, 6772, 13279, 17481, 22550, 284, 220, 16, 11, 21, 320, 58170, 220, 16, 15, 568, 8408, 3184, 380, 461, 50958, 17630, 9820, 83630, 6772, 42759, 6739, 328, 4865, 2257, 26612, 17481 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 22550, 284, 220, 18, 11, 24, 13, 67775, 21062, 94211, 304, 31008, 2825, 58498, 320, 2267, 811, 78445, 2185, 1648, 67775, 21062, 1111, 4114, 54385, 11, 78765, 71, 4953, 21062, 1111, 29505, 295, 20371, 268, 11, 54706, 10559, 78765, 71, 4953, 21062, 1111, 422, 2178, 44278, 11, 98705, 10559, 67775, 21062, 1111, 7180, 3651, 551, 72, 2030, 6250, 86, 61806, 472, 38809, 624, 3477, 380, 461, 13820, 67775, 21062, 94211, 732, 9784, 4895, 198, 8813, 359, 78233, 320, 45, 284, 220, 19, 15, 8, 2694, 92191, 67775, 21062, 94211, 85239, 9820, 63318, 306, 20005, 138971, 11759, 89, 304, 50041, 136740, 92283, 6566, 2712, 13, 8495, 17630, 9820, 9784, 7816, 328, 4865, 2257, 26612, 304, 2694, 11903, 811, 6538, 18084, 14840, 97914, 529, 13, 19000, 81831, 295, 11, 8793, 12304, 220, 19, 15, 67775, 21062, 94211, 11, 12583, 10928, 55813, 304, 50435, 773, 59380, 268, 92283, 6566, 2712, 49183, 624, 39, 258, 73869, 25, 8408, 78233, 86, 13820, 12583, 595, 5268, 41210, 26933, 2125, 295, 624, 3430, 68057, 25, 220, 16, 18, 18191, 47808, 67317, 21673, 67775, 21062, 94211, 304, 44979, 12583, 6069, 343, 6772, 13279, 3371, 50232, 9300, 268, 9784, 7816, 60404, 15795, 592, 95294, 461, 529, 624, 90940, 533, 67775, 21062, 94211, 732, 9784, 4895, 198, 16, 20, 78233, 320, 45, 284, 220, 21, 21, 8, 2694, 92191, 67775, 21062, 94211, 17630, 9820, 9784, 7816, 328, 4865, 2257, 26612, 6538, 220, 16, 15, 15, 320, 5974, 2861, 54594, 568, 54068, 2825, 58498, 458, 67775, 21062, 94211, 8896, 10928, 2746, 141963, 5342, 328, 4865, 2257, 26612, 2694, 94376, 17481, 22550, 284, 220, 19, 11, 24, 320, 58170, 220, 16, 15, 568, 8495, 12583, 19104, 1962, 1543, 32595, 25531, 304, 50041, 2694, 136740, 57686, 1387, 1960, 92283, 6566, 440, 548, 90930, 13, 8495, 87943, 449, 16030, 19104, 304, 3371, 6538, 74021, 9421, 37285, 90785, 1960, 94678, 627, 268, 75590, 49183, 5451, 54649, 77356, 901, 58498, 624, 39, 4953, 21062, 94211, 304, 31008, 2825, 58498, 320, 2267, 811, 78445, 2185, 1648, 70536, 258, 16053, 60761, 69, 29802, 10559, 7001, 10559, 67775, 21062, 1111, 362, 45699, 11, 87864, 86498, 5994, 18522, 12, 64615, 36614, 11, 67775, 21062, 1111, 362, 35649, 11, 7513, 8025, 6022, 13, 151643, 693, 258, 865, 8029, 802, 730, 6255, 40416, 9820, 23986, 2055, 59380, 395, 18128, 9, 258, 198, 37, 20933, 3591, 71, 490, 261, 9, 258, 320, 86, 3183, 3446, 8, 304, 19846, 21766, 665, 320, 17, 15, 12, 18, 15, 69713, 267, 22157, 340, 32, 1854, 331, 38013, 28122, 67919, 25, 220, 15, 17, 7276, 309, 220, 17, 15, 16, 24, 15687, 33043, 5665, 23318, 458, 17058, 47669, 281, 30875, 54080, 17739, 82557, 355, 87227, 2185, 5451, 16840, 932, 2030, 52159, 3591, 2030, 796, 19985, 477, 1079, 10246, 65, 15795, 34542, 15862, 318, 2501, 2030, 28724, 423, 69046, 6772, 30, 96943, 11485, 1268, 267, 3845, 28853, 357, 1415, 1079, 141785, 89, 28122, 2721, 9338, 30124, 360, 51153, 273, 2015, 320, 76, 6324, 3446, 701, 87105, 220, 17, 15, 80544, 22175, 78, 1528, 11, 668, 220, 16, 13, 16, 16, 13, 17, 15, 16, 24, 11, 4928, 90101, 198, 48047, 66124, 52990, 51153, 273, 2015, 320, 76, 6324, 3446, 701, 668, 220, 16, 13, 16, 16, 13, 17, 15, 16, 24, 11, 220, 17, 15, 42517, 1725, 62762, 1528, 7180, 9820, 47227, 21062, 1111, 304, 4928, 90101, 13, 34903, 66238, 43860, 25, 468, 287, 30622, 79, 36616, 14047, 81313, 37752, 7811, 1527, 55754, 87864, 2015, 220, 17, 24, 71177, 22840, 43506, 220, 16, 18, 13, 3128, 1862, 709, 39416, 3184, 23162, 68947, 7256, 281, 30875, 54080, 10559, 8907, 266, 2185, 2030, 662, 709, 9338, 47, 30875, 54080, 10559, 78765, 74, 2944, 304, 141377, 386, 35524, 20572, 14410, 32030, 4894, 47, 30875, 54080, 10559, 78765, 74, 2944, 320, 76, 6324, 3446, 8, 10712, 18069, 36702, 28122, 74462, 609, 2825, 89097, 74462, 198, 48047, 66124, 7180, 44367, 4114, 1952, 479, 12070, 4578, 778, 331, 1111, 668, 2429, 220, 15, 16, 13, 16, 16, 13, 17, 15, 16, 24, 9820, 393, 30875, 54080, 10559, 78765, 74, 2944, 320, 76, 6324, 3446, 8, 10712, 18069, 36702, 28122, 74462, 609, 2825, 89097, 74462, 467, 2801, 467, 1930, 25317, 16292, 17088, 13, 467, 2801, 11, 422, 1911, 75458, 46777, 444, 47975, 3140, 4493, 1365, 422, 1911, 5627, 57, 5863, 867, 1863, 1825, 49, 2794, 468, 5058, 1321, 36, 17088, 6826, 26175, 953, 11, 16292, 17088, 62606, 3282, 952, 52388, 66694, 6591, 13820, 42068, 4757, 69, 610, 144005, 320, 76, 6324, 3446, 8, 7180, 78765, 15897, 4757, 71620, 36702, 2185, 472, 695, 288, 20572, 96382, 29413, 14, 6639, 321, 29413, 198, 18175, 7767, 585, 263, 645, 472, 64864, 30077, 5186, 5999, 4368, 2341, 89, 17691, 1268, 465, 60404, 267, 273, 1571, 7180, 42786, 47808, 1674, 5045, 901, 89097, 5451, 53249, 16597, 2721, 59226, 13, 8408, 47355, 71, 8229, 47808, 1079, 55397, 304, 2694, 20404, 69701, 5999, 23898, 77356, 13, 45481, 44367, 78765, 15897, 4757, 71620, 36702, 2185, 330, 39, 11855, 1644, 1528, 1, 304, 472, 695, 288, 383, 9338, 5615, 380, 16597, 29612, 320, 76, 6324, 3446, 8, 7180, 2746, 7767, 585, 263, 17739, 52795, 383, 545, 198, 18175, 7767, 585, 263, 10559, 52795, 383, 545, 472, 64864, 30077, 5186, 342, 38, 31098, 5999, 4368, 60404, 267, 273, 1571, 7180, 42786, 47808, 1674, 5045, 901, 89097, 5451, 53249, 16597, 2721, 59226, 11, 2746, 304, 8873, 360, 54834, 2030, 8056, 96049, 52795, 844, 6331, 268, 97872, 13, 34903, 12583, 9820, 2014, 66685, 2694, 7767, 585, 263, 645, 472, 64864, 30077, 5186, 2030, 12583, 357, 337, 89, 10489, 1371, 9338, 18175, 7767, 585, 263, 645, 472, 64864, 30077, 5186, 5999, 4368, 2341, 89, 17691, 1268, 465, 60404, 267, 273, 1571, 7180, 42786, 47808, 1674, 5045, 901, 89097, 5451, 53249, 16597, 2721, 59226, 13, 8408, 34542, 15862, 12543, 665, 2030, 55248, 61286, 13920, 92172, 47355, 71, 8229, 47808, 1079, 55397, 304, 2694, 20404, 69701, 5999, 23898, 77356, 13, 34903, 12583, 4368, 48376, 295, 956, 9338, 623, 329, 15560, 791, 220, 16, 21, 11, 220, 18, 16, 16, 18, 24, 472, 695, 288, 20572, 11, 44979, 198, 18175, 7767, 585, 263, 645, 472, 64864, 30077, 5186, 5999, 4368, 2341, 89, 17691, 1268, 465, 60404, 267, 273, 1571, 7180, 42786, 47808, 1674, 5045, 901 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 89097, 5451, 53249, 16597, 2721, 59226, 13, 8408, 47355, 71, 8229, 47808, 1079, 55397, 304, 2694, 20404, 69701, 5999, 23898, 77356, 13, 2362, 5362, 7658, 1950, 7767, 585, 20783, 21115, 11619, 2030, 19572, 64321, 2576, 306, 21188, 75, 359, 9338, 19617, 72, 23647, 9325, 98244, 141377, 13431, 71, 1440, 30102, 198, 19617, 72, 23647, 9325, 98244, 141377, 13431, 71, 1440, 30102, 19000, 57671, 431, 1272, 29618, 5197, 11, 29618, 285, 423, 7053, 141377, 384, 5058, 13, 5999, 6995, 1574, 38596, 69, 1991, 288, 69701, 2030, 81741, 5679, 423, 7053, 2694, 467, 2267, 11008, 1466, 3342, 2154, 69, 4757, 7180, 2746, 54092, 141377, 13, 21766, 13785, 220, 23, 15, 15, 96428, 34711, 2030, 78722, 19985, 932, 60729, 2694, 16447, 9338, 30124, 385, 7997, 26832, 1960, 12429, 220, 16, 24, 11, 220, 22, 16, 21, 21, 20, 647, 2143, 71, 27918, 458, 2694, 2925, 89, 11, 44979, 198, 32617, 356, 49915, 60729, 502, 36956, 6772, 220, 16, 20, 20, 13, 15, 15, 15, 502, 11595, 2030, 66386, 70487, 268, 42786, 61474, 36616, 2030, 99122, 21062, 1129, 268, 13, 8495, 12643, 6538, 220, 24, 13, 20, 15, 15, 305, 51898, 35225, 21673, 2030, 68042, 35246, 1440, 35225, 21673, 78722, 19985, 19875, 458, 13785, 220, 16, 20, 15, 15577, 371, 268, 27684, 2956, 6498, 529, 11, 2148, 273, 41538, 2030, 9421, 42153, 695, 295, 13, 1205, 9338, 4416, 59380, 79, 30875, 54080, 1579, 23650, 59908, 11, 2055, 89, 19893, 57803, 11, 1260, 321, 79, 30875, 54080, 1579, 11, 60379, 3664, 804, 36519, 11840, 1107, 79, 30875, 54080, 1579, 198, 44, 5012, 18476, 42, 1285, 6766, 13896, 5362, 31477, 5999, 41488, 2162, 13, 220, 18, 15, 45506, 10365, 288, 73411, 93094, 575, 5849, 13, 304, 2429, 74219, 9740, 86, 70487, 268, 93590, 259, 137186, 2030, 50232, 3342, 70165, 84590, 30386, 66362, 732, 25714, 52015, 2694, 46307, 8092, 324, 7180, 57803, 2030, 2694, 12011, 3057, 19767, 659, 61043, 485, 7155, 436, 453, 9338, 42, 5744, 15897, 273, 1389, 320, 76, 6324, 3446, 8, 7180, 2746, 16840, 529, 1134, 267, 14033, 665, 135972, 4886, 5744, 97532, 11042, 198, 45007, 69, 11278, 51865, 13473, 6222, 2172, 23455, 11, 97532, 11042, 11, 44979, 198, 57, 324, 6250, 139522, 74, 2185, 23898, 288, 39613, 304, 2694, 730, 6255, 135972, 4886, 5744, 66124, 16111, 16034, 62668, 24855, 61897, 21673, 28831, 71865, 468, 687, 953, 9297, 640, 19701, 867, 8738, 320, 44, 22175, 14953, 8, 5451, 17058, 289, 2956, 331, 306, 21673, 70165, 29413, 6538, 220, 18, 17, 14840, 220, 18, 24, 69713, 267, 22157, 10712, 38158, 59638, 20005, 64560, 7180, 2746, 2825, 58498, 2694, 647, 79985, 360, 7989, 1112, 151643, 83956, 28064, 2185, 3563, 585, 1536, 12583, 2770, 19358, 6772, 1365, 4984, 3810, 14163, 1365, 24209, 28064, 11595, 35323, 198, 7623, 8182, 2403, 64649, 258, 12992, 83956, 28064, 2185, 3563, 585, 1536, 12583, 2770, 19358, 6772, 198, 17372, 389, 220, 16, 16, 13, 80157, 220, 17, 15, 16, 22, 220, 18, 15, 13, 80157, 220, 17, 15, 16, 22, 6885, 36559, 16071, 440, 39, 2245, 75, 13256, 15462, 67489, 277, 198, 65835, 2694, 40100, 42, 732, 6252, 24585, 220, 17, 15, 16, 16, 304, 53936, 9919, 1199, 82850, 330, 83956, 28064, 28122, 423, 23692, 37949, 1, 141871, 68, 11, 5999, 305, 287, 19981, 4317, 383, 25655, 55928, 33261, 665, 320, 16, 18, 11, 17, 11334, 24209, 28064, 28122, 1621, 265, 465, 26933, 275, 11, 59228, 8104, 6395, 582, 90830, 77, 1365, 85117, 13785, 86, 35010, 408, 51721, 16034, 39324, 1536, 13, 25714, 2694, 69028, 6538, 220, 17, 19, 20, 19, 387, 33198, 1960, 87040, 26109, 30632, 9820, 2714, 383, 65, 20005, 16936, 20512, 632, 2694, 1205, 90830, 61286, 1199, 20542, 387, 674, 15938, 295, 25, 6538, 220, 17, 11, 24, 4, 13279, 2694, 4312, 69, 29802, 17739, 1298, 9603, 59380, 14840, 51721, 6395, 220, 17, 17, 11, 21, 4, 13279, 2694, 24209, 28064, 2185, 4886, 66599, 55591, 624, 80593, 23273, 10712, 650, 138644, 7272, 39324, 1536, 9820, 20226, 546, 2030, 13906, 60297, 14047, 85, 965, 13536, 49039, 546, 328, 1777, 25, 1230, 799, 8907, 87083, 2685, 512, 12755, 6538, 3371, 61291, 11, 2030, 773, 65681, 2770, 19358, 6772, 2030, 1147, 1704, 4487, 268, 15719, 12222, 2694, 19349, 11, 2694, 2746, 61291, 40897, 372, 17859, 2030, 83423, 6538, 63165, 25423, 268, 4845, 31261, 15719, 13, 19000, 39264, 12222, 10712, 39324, 1536, 13, 5004, 372, 24929, 8793, 18520, 15058, 265, 465, 582, 90830, 77, 56945, 30, 11401, 66360, 5999, 1531, 2746, 328, 6670, 11, 1531, 8793, 12304, 258, 6395, 5699, 71378, 1365, 12385, 2746, 87878, 6712, 3680, 71, 25423, 50499, 6538, 2694, 20404, 69701, 624, 71858, 49192, 19358, 33328, 1923, 7272, 98552, 25, 71474, 29505, 396, 28284, 12, 25432, 67960, 13920, 1991, 332, 53776, 1365, 11615, 261, 6658, 198, 1654, 2015, 11397, 451, 31573, 3667, 98552, 25, 647, 16568, 321, 7180, 25531, 1365, 468, 6308, 1704, 2185, 304, 2694, 8907, 1704, 39519, 136508, 440, 1199, 5436, 28064, 2185, 320, 14928, 8, 7180, 137845, 2030, 11726, 268, 151643, 52491, 82032, 724, 25, 74261, 267, 3845, 28086, 23898, 48007, 16034, 61150, 56607, 220, 23, 8422, 5451, 10135, 13785, 25414, 1262, 5333, 34368, 15671, 5267, 1427, 60423, 82, 88718, 14821, 46668, 48007, 41316, 16219, 48007, 25, 39145, 389, 56607, 94325, 5451, 220, 20, 26956, 529, 295, 11, 289, 15422, 72, 220, 16, 13, 15, 2746, 84187, 331, 88999, 2030, 220, 20, 13, 15, 2746, 28822, 85651, 2185, 5999, 13, 9236, 17630, 1640, 4188, 35225, 220, 16, 15, 21, 23, 18078, 73612, 9820, 85651, 2185, 668, 709, 42316, 13, 151643, 48452, 288, 6982, 2030, 71065, 8896, 883, 304, 31008, 9926, 89, 21062, 5186, 2986, 82942, 64, 471, 13, 20004, 6969, 1587, 295, 5451, 17443, 69252, 331, 306, 1387, 11866, 465, 5999, 26769, 9926, 89, 21062, 5186, 2986, 4368, 4258, 8801, 43693, 273, 2015, 19767, 3371, 8907, 87083, 541, 4578, 13, 151643, 39726, 73612, 41861, 539, 13279, 2694, 11610, 874, 320, 811, 1137, 6810, 23747, 1933, 2285, 340, 42, 2956, 2261, 13, 8408, 77748, 901, 2956, 7997, 665, 68449, 20283, 3433, 23318, 11610, 874, 304, 141377, 8896, 5451, 17443, 47669, 18078, 73612, 41861, 539, 2746, 350, 460, 25620, 76166, 13, 54412, 10712, 220, 18, 20, 15, 220, 15, 15, 15, 42786, 511, 3591, 304, 3371, 37801, 524, 33370, 350, 8535, 7219, 6616 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 35584, 14607, 301, 90360, 48323, 46646, 11, 2714, 77131, 665, 2694, 46307, 423, 7053, 5665, 9913, 533, 33312, 39416, 28122, 36651, 320, 8598, 52, 8, 16034, 22080, 93383, 1079, 8224, 46680, 13, 21766, 220, 24, 16, 24, 61197, 42137, 10928, 2746, 82745, 2694, 20004, 72511, 4443, 136740, 78233, 12743, 645, 4370, 13, 47053, 52, 12010, 59378, 56539, 17246, 50753, 261, 55923, 71464, 8151, 610, 6538, 17443, 8182, 130977, 615, 351, 19875, 41663, 74063, 23703, 13, 758, 50041, 9760, 268, 43157, 28324, 27726, 2746, 386, 23318, 7180, 17407, 12, 2030, 81501, 4785, 24619, 289, 70487, 20048, 13, 141196, 74492, 1960, 17790, 11316, 6395, 36115, 773, 41983, 15928, 24803, 2030, 2714, 24855, 1127, 10928, 46307, 8656, 89, 1536, 258, 37143, 46420, 13279, 2694, 11610, 874, 13906, 1371, 51663, 331, 2717, 13, 26648, 14, 303, 151643, 8813, 2798, 95194, 4974, 65501, 29001, 804, 7001, 1579, 198, 50479, 14821, 6538, 16449, 62026, 25061, 20404, 1241, 22385, 11553, 79, 50958, 10712, 2746, 77748, 73411, 50232, 85527, 883, 29937, 14612, 437, 37949, 5342, 2125, 1579, 304, 2694, 49012, 268, 2030, 607, 3101, 4974, 79788, 22450, 391, 645, 6454, 81184, 11, 2746, 9820, 294, 27097, 71, 2577, 665, 5016, 1174, 67957, 32454, 2185, 2030, 6250, 73, 2391, 968, 2185, 26956, 404, 5840, 624, 35, 2574, 2746, 1527, 66671, 60021, 2341, 89, 333, 32708, 29344, 16508, 87723, 1279, 1515, 573, 2914, 268, 5999, 38542, 304, 2694, 95506, 11, 6616, 5331, 17659, 1480, 46621, 778, 612, 939, 730, 9416, 31290, 20504, 74227, 590, 15671, 13, 32521, 2574, 14821, 4368, 1298, 89, 433, 17058, 17588, 5186, 21673, 2030, 9089, 17392, 9460, 460, 70, 2914, 26956, 404, 5840, 11, 58319, 65078, 71, 408, 6538, 2694, 34903, 65, 2010, 2305, 1111, 2030, 52716, 4509, 3101, 4974, 77, 11, 5016, 1174, 5679, 2030, 11375, 417, 635, 650, 91184, 2257, 76133, 267, 2030, 55248, 97973, 2746, 1736, 324, 1574, 1333, 791, 1003, 14033, 2030, 54271, 36614, 26252, 1923, 267, 32863, 624, 87876, 38542, 7671, 2636, 437, 37949, 26956, 404, 5840, 9820, 350, 4738, 268, 805, 848, 46621, 11, 2746, 42046, 6538, 2778, 22157, 2030, 2714, 20491, 359, 21673, 78796, 36964, 2148, 273, 41538, 14821, 13, 730, 3732, 10559, 7659, 3591, 1850, 14033, 6433, 11, 14948, 34542, 304, 25986, 17739, 434, 32251, 268, 220, 23, 15, 4, 2694, 5451, 38542, 2755, 37121, 1960, 87040, 14047, 220, 16, 12, 20, 328, 11042, 11595, 48548, 97369, 12583, 624, 87876, 38542, 7671, 2636, 437, 37949, 5999, 13279, 50041, 77814, 6566, 5183, 54548, 458, 40231, 2257, 2030, 7180, 94572, 1674, 5045, 901, 58498, 56505, 84858, 13, 8495, 15719, 14840, 6395, 220, 19, 20, 80624, 88280, 932, 11, 668, 71, 25423, 343, 6538, 3371, 22665, 70628, 11375, 417, 6297, 2694, 7357, 13, 151643, 41957, 288, 9896, 551, 72, 11461, 268, 13002, 2391, 3342, 870, 7725, 738, 11687, 7219, 84247, 86, 8535, 6538, 33228, 62221, 760, 32618, 301, 2685, 80072, 268, 198, 3479, 61065, 10360, 5840, 29937, 386, 783, 11595, 7434, 61352, 9896, 551, 72, 11461, 268, 13002, 2391, 3342, 870, 7725, 738, 11687, 7219, 84247, 86, 8535, 6538, 33228, 62221, 198, 623, 54143, 1365, 8408, 11426, 288, 9896, 551, 72, 11461, 268, 13002, 2391, 3342, 870, 7725, 738, 11687, 2714, 811, 332, 7219, 33228, 62221, 2030, 45692, 2501, 304, 36744, 37419, 1640, 4188, 35225, 220, 21, 19, 20, 77200, 2986, 4733, 2694, 2876, 440, 5451, 2429, 50750, 304, 52716, 29253, 4079, 28736, 7219, 13, 8408, 48158, 77200, 2986, 4733, 13785, 38130, 76, 46069, 6282, 24877, 11, 758, 12495, 1065, 1571, 6538, 11461, 268, 13002, 2391, 3342, 870, 7725, 11, 13279, 17058, 7735, 17739, 30512, 7725, 8229, 304, 82139, 6538, 65520, 1032, 10453, 11, 33328, 2685, 3492, 1087, 11042, 1659, 2694, 33228, 62221, 8547, 11, 2030, 6538, 2363, 27993, 13222, 27127, 11, 6250, 8927, 51835, 554, 75278, 393, 28600, 304, 2694, 33228, 62221, 6250, 8927, 51835, 554, 39470, 467, 2391, 3342, 870, 7725, 624, 44, 12355, 72964, 6538, 422, 2640, 9254, 5649, 12070, 67, 3591, 267, 273, 380, 11595, 20048, 9089, 3457, 10316, 1365, 9911, 17630, 2746, 52747, 23076, 304, 38805, 11461, 268, 13002, 2391, 3342, 870, 7725, 13, 19000, 39264, 9421, 17058, 1079, 32618, 1126, 331, 141871, 268, 7659, 645, 939, 650, 138644, 6433, 8513, 10771, 311, 5547, 31896, 6128, 305, 648, 269, 13, 4724, 77, 610, 5999, 2746, 422, 2640, 1536, 17503, 8307, 15082, 53383, 5451, 54649, 92191, 2014, 66685, 4188, 69701, 33228, 62221, 8547, 15082, 2694, 6376, 73607, 5342, 57803, 95905, 1940, 151643, 44667, 2746, 14612, 437, 37949, 6538, 25986, 16053, 91970, 268, 6395, 98038, 932, 11, 17630, 2746, 14410, 42189, 21673, 91970, 78571, 27277, 2341, 8345, 6712, 14612, 437, 75, 28122, 14906, 2660, 11, 2746, 44842, 13, 30874, 9551, 46416, 80129, 3818, 11, 4443, 9820, 15236, 5986, 65161, 22450, 391, 645, 6395, 97035, 21673, 624, 57, 13029, 5999, 1531, 11, 19767, 9820, 36195, 2030, 142832, 68947, 7256, 13017, 64786, 2185, 6616, 11002, 21062, 265, 14668, 2694, 9740, 9855, 1180, 2185, 6395, 2739, 73938, 932, 2030, 38897, 39455, 4370, 67519, 97973, 2030, 993, 2305, 72983, 6395, 72202, 17454, 13, 151643, 56107, 4895, 24852, 20713, 324, 7180, 40009, 67367, 301, 481, 47775, 4284, 43, 55, 198, 5981, 24852, 20713, 324, 7180, 40009, 67367, 301, 198, 5981, 24852, 45118, 324, 7180, 40009, 67367, 301, 198, 54370, 2694, 2341, 8345, 15671, 15132, 6899, 331, 16676, 12, 21367, 318, 36616, 44160, 4895, 24852, 45118, 324, 73741, 9089, 2746, 328, 4865, 2257, 26612, 75077, 94376, 304, 2694, 23334, 92135, 6538, 40009, 67367, 301, 2714, 383, 65, 6772, 98038, 932, 13, 2055, 12643, 41983, 38383, 18078, 73612, 6395, 43860, 35103, 624, 18175, 92979, 6538, 1527, 40231, 11595, 44160, 44160, 4895, 24852, 45118, 324, 53211, 5178, 575, 5849, 13, 5451, 9308, 20, 11, 15179, 18, 11, 13119, 23, 11, 26339, 11, 45328, 2030, 13215, 13, 34903, 1931, 285, 16030, 34542, 2341, 8345, 6712, 1527, 40231, 11595, 7180, 70836, 13093, 59226, 304, 40009, 67367, 301, 2030, 23334, 92135, 624, 18592, 1338, 6712, 4895, 325, 14668, 7180, 40009, 67367, 301, 2030, 23334, 92135, 198, 35, 2574, 9820, 4808, 6712, 11, 39307, 14047, 39416, 7256, 15132, 6899, 331, 16676, 12, 21367, 318, 36616, 12643, 10928, 304, 40009, 67367, 301, 25494, 62702, 78796, 15398, 2030, 41983, 38383, 18078, 73612, 2714, 8345, 3818, 13, 61043, 485, 4895, 8675, 45118, 324, 5436, 649, 4865, 9820 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 93346, 2956, 325, 11, 22996, 16722, 54102, 2030, 73796, 12063, 30097, 36616, 624, 1425, 63923, 29937, 4895, 12, 2250, 69936, 7180, 35783, 61197, 304, 40009, 67367, 301, 198, 65397, 811, 54383, 43860, 44367, 4895, 24852, 45118, 324, 10712, 4808, 7073, 31313, 7180, 2746, 8800, 285, 36616, 2030, 73910, 36616, 7491, 7997, 45061, 47611, 465, 4895, 276, 40231, 11595, 10928, 732, 95602, 40009, 67367, 301, 17312, 90769, 624, 1425, 63923, 64732, 4895, 3790, 287, 7180, 35783, 77742, 304, 40009, 67367, 301, 2030, 23334, 92135, 198, 1806, 799, 5362, 5999, 67658, 10928, 304, 2694, 23334, 92135, 6538, 40009, 67367, 301, 141437, 9338, 50855, 81616, 268, 9089, 304, 77065, 141506, 304, 2694, 23334, 92135, 6538, 40009, 67367, 301, 2030, 12583, 5451, 2694, 79041, 14047, 17058, 5841, 333, 449, 77399, 4895, 24852, 45118, 324, 41852, 56539, 17917, 11, 2694, 9820, 38383, 94376, 7180, 35783, 61197, 34368, 15671, 22589, 13, 27258, 12643, 49536, 38472, 5016, 6566, 75509, 665, 10246, 4370, 30, 25006, 1528, 91912, 665, 20048, 8495, 26933, 275, 58158, 2030, 58319, 33328, 41137, 11595, 17630, 8495, 6538, 2694, 4895, 24852, 45118, 324, 30, 42616, 65733, 5999, 1531, 7180, 8495, 11, 14948, 2746, 4895, 24852, 45118, 324, 9421, 2694, 13207, 74, 1960, 23334, 92135, 6538, 40009, 67367, 301, 51528, 30, 42616, 3371, 2712, 8495, 95038, 5451, 17443, 44615, 77399, 12307, 59380, 37122, 7180, 4895, 325, 14668, 9740, 54377, 134776, 11, 42150, 16053, 12385, 817, 81501, 562, 263, 802, 16597, 320, 25645, 11, 25826, 11, 41209, 11, 4992, 6138, 6395, 87943, 449, 16030, 5267, 57, 84, 66482, 61291, 1147, 85242, 79409, 485, 2030, 74539, 485, 61197, 11, 1644, 11687, 649, 706, 268, 11, 1032, 54327, 276, 86, 29802, 665, 11, 68832, 482, 2030, 15438, 266, 8987, 268, 9421, 2694, 23334, 92135, 6538, 40009, 67367, 301, 2030, 16111, 20048, 2714, 383, 65, 6772, 18520, 10712, 12222, 19807, 12385, 72005, 13, 44462, 4895, 24852, 45118, 324, 5451, 8688, 135453, 7272, 41663, 65224, 2755, 84735, 7522, 16111, 10928, 6616, 73910, 16030, 6538, 8099, 649, 1387, 3492, 32289, 4895, 76096, 1579, 367, 268, 13, 151643, 33, 54736, 90992, 422, 1577, 268, 198, 81761, 2429, 21048, 14821, 6616, 44602, 268, 90992, 39771, 66653, 19349, 10712, 7219, 2694, 9740, 450, 13, 9740, 8896, 36077, 8677, 2030, 36077, 2825, 28865, 285, 21506, 294, 16074, 1194, 78170, 331, 4865, 198, 22171, 21048, 8896, 458, 3371, 3651, 268, 36077, 75260, 14408, 485, 37022, 77, 14840, 481, 16, 18, 18, 30937, 2030, 17760, 2574, 4845, 74919, 66653, 471, 7256, 6538, 2694, 9740, 450, 95710, 35278, 3819, 367, 267, 1082, 268, 11, 6250, 3801, 28122, 12, 2030, 6250, 75, 1409, 2185, 3492, 1775, 76141, 13, 1527, 10661, 36108, 21048, 8459, 8669, 88718, 82, 20048, 24929, 2746, 88687, 44602, 268, 19530, 6186, 68, 11, 2694, 44602, 306, 1082, 2030, 61550, 44602, 268, 16181, 1850, 318, 2501, 12643, 624, 33, 54736, 16181, 12583, 25, 2746, 730, 2382, 380, 16597, 74265, 5679, 11, 5016, 81, 1510, 4817, 1440, 2986, 11, 2988, 645, 7997, 74265, 2986, 11, 20004, 1100, 74265, 2986, 11, 35070, 303, 37347, 11, 92707, 4865, 2257, 26612, 6538, 44602, 268, 11, 3841, 1387, 1296, 37347, 11, 74519, 10080, 39416, 11, 96880, 709, 39416, 11, 393, 23647, 4942, 321, 11, 74519, 10080, 39416, 11, 1205, 713, 22385, 939, 14322, 590, 32483, 44602, 268, 11, 16034, 79192, 7180, 6616, 15495, 28698, 6538, 42678, 31573, 927, 2305, 872, 77, 7219, 2429, 21048, 624, 18, 35, 97528, 2142, 1579, 13279, 2694, 79041, 14047, 136990, 2030, 20854, 7219, 2694, 9740, 450, 624, 81761, 2694, 9740, 450, 14410, 5467, 426, 8725, 9443, 12968, 1728, 26824, 624, 83953, 2694, 60423, 132975, 2694, 44602, 306, 4738, 268, 5365, 5451, 220, 18, 35, 97528, 2142, 1579, 11, 58065, 56381, 198, 1514, 2142, 1579, 19625, 10665, 804, 69, 15113, 37400, 268, 16034, 84247, 624, 57, 372, 79192, 2739, 6984, 295, 883, 21506, 2694, 9740, 450, 7219, 2429, 28835, 268, 9740, 450, 44693, 49802, 2030, 44693, 39525, 624, 51, 26378, 46745, 51798, 77200, 2986, 4733, 11, 96564, 299, 7276, 15113, 2986, 4733, 66124, 142596, 9101, 610, 13, 8495, 12583, 9421, 6969, 1587, 295, 5451, 59188, 266, 23647, 11, 2746, 595, 59391, 20005, 468, 5428, 331, 28658, 465, 11595, 7219, 2694, 9740, 450, 2714, 37400, 268, 13, 8495, 5699, 9692, 732, 49241, 22157, 370, 2685, 5016, 541, 9157, 268, 304, 17443, 5282, 14668, 34032, 16597, 33374, 74, 376, 372, 14840, 6395, 220, 21, 15, 15, 15, 52539, 259, 4738, 13, 8408, 8325, 268, 5282, 14668, 9089, 9421, 2030, 12643, 458, 3371, 479, 17750, 258, 778, 331, 28698, 2053, 273, 5840, 17029, 13, 14133, 14047, 479, 17750, 1330, 471, 2030, 58725, 1859, 14821, 2746, 28831, 18747, 38809, 304, 2694, 2746, 5016, 541, 9157, 268, 49503, 58065, 624, 18175, 48842, 2746, 9911, 57984, 12583, 773, 4443, 42477, 40334, 11, 14948, 2746, 67775, 273, 380, 28122, 265, 85577, 40897, 4443, 2746, 38183, 77556, 511, 55457, 3128, 349, 312, 2125, 268, 2030, 4051, 77, 47827, 13, 21766, 31008, 56075, 534, 74675, 71366, 268, 21506, 2694, 9740, 450, 9820, 4509, 84956, 2030, 20048, 70251, 579, 7522, 41210, 2714, 8656, 406, 12643, 13, 8408, 4229, 1609, 268, 88766, 40193, 24929, 19767, 26769, 220, 18, 35, 57916, 82, 28698, 11, 23738, 305, 19840, 12385, 4154, 2956, 325, 479, 17750, 1330, 23118, 12583, 624, 18175, 4229, 77203, 304, 3371, 1527, 71, 25423, 932, 8486, 42477, 268, 2746, 5016, 541, 9157, 268, 2030, 512, 14668, 9911, 13785, 730, 780, 458, 3371, 18713, 86, 8535, 30632, 624, 641, 94885, 2694, 220, 16, 15, 1527, 71, 61673, 12583, 220, 18, 13, 17, 15, 15, 4229, 77203, 13, 25714, 2922, 64088, 95602, 1187, 28421, 52434, 2746, 18713, 86, 13820, 6538, 1640, 4188, 35225, 220, 18, 17, 13, 15, 15, 15, 4229, 5127, 41928, 4368, 624, 9499, 77203, 8486, 42477, 268, 2746, 5016, 541, 9157, 268, 2030, 512, 14668, 9911, 13785, 730, 780, 458, 3371, 18713, 86, 8535, 30632, 624, 641, 15025, 791, 82, 24774, 44336, 33254, 11, 2746, 7180, 2746, 96564, 299, 7276, 15113, 2986, 4733, 650, 261, 40334, 2257, 12583, 11, 12643, 468, 5428, 331, 28658, 465, 11595, 817, 328, 1726, 968, 2185, 2714, 37400, 83, 13, 9236, 12583, 328, 1726, 968, 11595, 11, 2746, 304, 2746, 58725, 1859, 62459, 13, 8408, 468, 5428, 331, 28658, 465, 11595, 12583, 458, 2694, 51145, 135266, 99025, 289 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 15113, 25402, 76, 2257, 624, 70451, 220, 16, 15, 15, 73048, 50, 1225, 22157, 51528, 4368, 27230, 5251, 433, 54594, 462, 4229, 93806, 458, 13, 35780, 5183, 12222, 63620, 51333, 665, 31932, 331, 1147, 4733, 539, 4711, 11, 2739, 131660, 4730, 13920, 8725, 6616, 44492, 2030, 2746, 51350, 81, 11595, 2739, 1859, 70667, 24440, 77356, 624, 72287, 883, 9820, 342, 59391, 7256, 794, 6712, 1197, 33425, 83, 11, 12643, 44602, 268, 776, 7964, 1197, 16687, 5676, 624, 72287, 883, 16034, 79192, 73794, 1197, 33425, 83, 11, 14821, 1531, 14047, 89005, 82942, 49874, 624, 42, 1020, 883, 1531, 7219, 2429, 21048, 68876, 773, 37896, 5267, 81761, 2429, 21048, 39264, 8725, 54548, 773, 8793, 13, 25714, 12304, 143053, 11834, 7997, 883, 1531, 7219, 2429, 21048, 650, 22097, 500, 449, 1268, 465, 26956, 16754, 41137, 6433, 624, 81761, 2429, 21048, 5999, 7219, 2694, 51145, 135266, 96880, 2030, 259, 4738, 732, 36356, 268, 939, 28835, 268, 444, 2907, 624, 35, 1370, 86, 17739, 47827, 1487, 32708, 41210, 24396, 524, 3226, 2305, 81548, 1320, 30203, 7256, 4598, 7998, 20175, 590, 90360, 3000, 16030, 11, 16034, 79192, 73794, 1154, 572, 14047, 89005, 82942, 49874, 12643, 58285, 7997, 665, 624, 65835, 15719, 883, 44602, 268, 5365, 7219, 2429, 21048, 34368, 15671, 5267, 65835, 15719, 883, 5451, 44602, 268, 8459, 321, 422, 1577, 268, 44602, 268, 5365, 7219, 2429, 21048, 34368, 15671, 5267, 65835, 15719, 883, 3371, 21048, 88766, 22157, 5267, 48047, 75130, 11, 94567, 2746, 42786, 99025, 66461, 51707, 17630, 6538, 2694, 21048, 51145, 135266, 17312, 9740, 450, 49503, 1147, 3101, 46646, 13, 9740, 267, 724, 5999, 2746, 75074, 81112, 8343, 86, 5186, 44861, 2030, 54936, 275, 724, 5451, 13785, 42539, 35649, 40866, 18607, 22157, 624, 80515, 1644, 50656, 7219, 2429, 21048, 47827, 13906, 261, 267, 21048, 422, 1577, 268, 512, 37122, 13, 12741, 21048, 5999, 1083, 4368, 3582, 86957, 1527, 40231, 28122, 42153, 3891, 7180, 21048, 49890, 331, 28122, 422, 1577, 268, 624, 2101, 642, 47827, 21048, 422, 1577, 268, 512, 37122, 11, 6538, 21048, 50872, 42786, 2025, 8155, 529, 2030, 20153, 1100, 17029, 13, 3874, 49662, 58285, 7997, 1960, 25714, 4645, 661, 1577, 268, 7219, 3371, 21048, 7557, 17029, 12643, 13, 16887, 26769, 21048, 422, 1577, 268, 12643, 308, 1777, 258, 8199, 7219, 65, 45258, 11, 88766, 22157, 11, 708, 71, 1440, 2030, 548, 2391, 30353, 13, 16887, 46668, 11834, 7997, 28883, 4929, 1704, 29413, 423, 70979, 14410, 1528, 12032, 624, 32617, 140385, 11, 6616, 5016, 956, 75967, 52764, 67, 11063, 268, 601, 86, 13, 11834, 7997, 85117, 94873, 408, 267, 304, 21048, 468, 13920, 29413, 14410, 1528, 12032, 13, 42079, 21048, 50872, 42786, 14609, 360, 17029, 624, 36, 13920, 29413, 2030, 422, 1577, 268, 12583, 33328, 956, 355, 746, 38132, 7180, 23991, 20005, 21048, 94404, 624, 75919, 71126, 576, 29203, 2444, 5679, 26769, 21048, 42786, 11, 16034, 79192, 73824, 6772, 3893, 66693, 63319, 4229, 363, 79748, 20005, 138971, 1732, 44009, 11, 304, 3371, 21048, 50872, 268, 624, 30416, 2694, 21048, 38897, 21048, 1645, 450, 13279, 72440, 2988, 768, 4443, 2746, 11840, 811, 11937, 25531, 5451, 45692, 2501, 11, 15719, 883, 49536, 2935, 2305, 1923, 303, 21048, 468, 13920, 29413, 348, 6215, 355, 746, 5679, 13, 151643, 37, 261, 3591, 31551, 78513, 461, 1674, 10251, 320, 33, 5459, 16, 22, 17, 8, 304, 425, 1754, 482, 8700, 20, 17, 18, 23, 13, 21, 15, 24, 13, 18, 760, 5665, 5117, 198, 18, 11171, 18982, 11278, 64, 590, 58791, 11, 2162, 13, 220, 21, 15, 296, 29456, 13, 33099, 962, 468, 287, 524, 304, 52795, 129056, 1528, 320, 19, 2988, 36772, 11, 42242, 651, 6712, 11, 35346, 404, 59976, 92071, 11, 69252, 17958, 66114, 15692, 38, 823, 7253, 74, 2855, 2554, 11, 730, 37780, 34162, 87895, 8, 5451, 328, 11042, 66, 3026, 11, 12838, 57548, 2030, 20004, 46014, 1640, 7577, 645, 13, 49279, 2577, 64474, 5451, 1422, 12070, 13, 67588, 320, 16, 11, 21, 15, 296, 5282, 275, 568, 49279, 2577, 64474, 5451, 18069, 27393, 12, 2030, 20004, 13536, 49039, 7066, 13, 422, 355, 1528, 22175, 34, 624, 18175, 28462, 3591, 143492, 356, 1479, 4305, 8753, 26614, 10246, 4370, 732, 1205, 5769, 479, 402, 622, 5652, 11, 220, 20, 13136, 59739, 67, 6772, 6538, 425, 1754, 482, 7219, 17443, 2162, 13, 220, 16, 18, 6386, 67703, 1527, 86, 65935, 5451, 17471, 3591, 52906, 2030, 49753, 932, 13, 468, 766, 50528, 3563, 2956, 28494, 51707, 2030, 25488, 304, 19833, 956, 320, 16, 13136, 568, 7577, 579, 329, 11, 1032, 72284, 2956, 28494, 26612, 2030, 57151, 57548, 304, 8012, 1020, 1263, 320, 16, 13136, 568, 8408, 39449, 12429, 143492, 425, 5459, 220, 16, 22, 15, 14, 15692, 16, 22, 16, 2030, 2746, 14101, 85660, 457, 425, 5459, 220, 16, 22, 17, 14, 15692, 16, 22, 18, 12583, 444, 2220, 2956, 8719, 343, 32175, 539, 4711, 2030, 64857, 7219, 17443, 2162, 13, 220, 19, 20, 15, 15, 296, 29456, 67703, 4443, 89, 2305, 359, 1960, 47227, 135522, 5451, 467, 81053, 11, 94844, 65, 2305, 27899, 2030, 730, 550, 1489, 2305, 7522, 13, 25949, 74, 376, 10559, 350, 460, 13573, 1466, 3342, 11, 5540, 142454, 7906, 52662, 49662, 2694, 23334, 89, 2305, 359, 2185, 13, 77775, 1330, 20542, 2154, 1749, 320, 16, 17, 856, 220, 21, 296, 11, 220, 15, 11, 22, 15, 12, 17, 11, 19, 15, 296, 259, 4738, 11, 220, 15, 17, 13, 15, 20, 13, 17, 15, 12, 16, 22, 13, 16, 15, 13, 17, 15, 8, 5451, 24285, 68413, 22728, 31551, 5451, 22163, 65, 5623, 465, 13785, 67, 610, 465, 17655, 13256, 11, 21491, 37285, 81053, 11, 11840, 12495, 11567, 4370, 11, 21491, 6969, 21558, 2892, 11, 11840, 77, 46745, 2853, 268, 2030, 32050, 7997, 408, 355, 1528, 13, 49848, 2030, 34818, 1055, 268, 39307, 350, 16053, 1960, 25151, 42339, 665, 2030, 350, 16053, 74, 5215, 17312, 74354, 24774, 84605, 13, 12741, 29247, 72, 1404, 51528, 140729, 17312, 42068, 4757, 939, 393, 6178, 2030, 2694, 142791, 276, 54708, 2030, 13785, 77, 15938, 295, 3893, 1937, 44275, 304, 72440, 79509, 31551, 7219, 2429, 47227, 135522, 13, 425, 5459, 220, 16, 22, 15, 5451, 13785, 67, 610, 465, 17655, 13256, 320, 924, 13, 220, 17, 20, 296, 29456, 8, 5451, 34906, 9538, 11, 49848, 2030, 24285, 10453, 2825, 16074, 135266, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 425, 5459, 220, 16, 22, 16, 14, 15692, 16, 22, 17, 16868, 68, 8669, 5451, 22163, 65, 5623, 465, 17655, 13256, 5451, 4389, 1064, 11, 49848, 13, 425, 5459, 220, 16, 22, 18, 8896, 9820, 17655, 13256, 5451, 93912, 127846, 9779, 77, 11, 49848, 2030, 11840, 12495, 79, 402, 42488, 13, 7958, 68, 8669, 62702, 18069, 36702, 2185, 732, 23071, 1579, 35649, 794, 321, 13, 356, 35626, 7671, 2956, 5183, 13, 15696, 25329, 1692, 10938, 40188, 13, 13177, 52292, 13, 8031, 72101, 524, 320, 54, 23408, 11, 81625, 22010, 568, 14804, 331, 6899, 87895, 13, 68557, 709, 273, 23129, 23650, 65, 17261, 13, 20854, 11171, 45086, 383, 449, 2185, 13, 49633, 73869, 25, 18482, 44977, 5999, 304, 3371, 90593, 872, 77, 8793, 3893, 5760, 96346, 295, 13, 151643, 36, 8052, 79985, 3160, 360, 68277, 5591, 60365, 13, 44492, 6538, 10552, 11, 39220, 2185, 481, 220, 21, 19, 22, 15, 23, 22, 20, 198, 36, 8052, 79985, 3160, 360, 68277, 624, 36, 8052, 79985, 2185, 939, 85864, 17339, 68, 7219, 350, 798, 1612, 198, 28301, 48672, 367, 220, 21, 19, 22, 15, 23, 22, 20, 198, 4272, 17054, 1205, 36947, 261, 77302, 472, 28658, 1960, 7219, 17443, 77302, 22087, 6222, 324, 802, 425, 1021, 68317, 371, 2030, 60183, 16171, 75, 29413, 458, 2694, 732, 7577, 72, 826, 559, 267, 14033, 665, 350, 887, 32708, 44336, 404, 70, 2280, 33758, 13464, 4509, 16722, 724, 8226, 14033, 50499, 42599, 7219, 2429, 2502, 1587, 198, 53, 60538, 32708, 434, 41145, 350, 798, 3092, 64, 11, 38453, 4865, 4443, 98557, 350, 75790, 11, 30682, 2655, 577, 30563, 277, 10559, 758, 9507, 11, 350, 798, 3092, 64, 4270, 591, 44589, 7313, 2655, 577, 5055, 28736, 2655, 577, 9057, 61007, 3371, 141963, 15795, 74219, 2694, 758, 9507, 6538, 350, 798, 3092, 64, 304, 3371, 30563, 277, 17739, 758, 9507, 77, 2030, 732, 11903, 3591, 8280, 49191, 2185, 6538, 794, 12543, 2185, 304, 17258, 41016, 89, 278, 7219, 2694, 758, 9507, 6538, 350, 798, 3092, 64, 5451, 81287, 7219, 30682, 2655, 577, 2030, 9820, 56381, 10925, 2660, 732, 647, 1358, 59785, 2655, 577, 85864, 304, 350, 798, 1612, 2655, 577, 350, 798, 1612, 26647, 23455, 16034, 11719, 68277, 304, 350, 798, 3092, 64, 48793, 577, 6755, 25136, 30682, 2655, 577, 350, 798, 3092, 64, 198, 90940, 533, 65314, 267, 321, 96115, 939, 444, 2305, 1704, 388, 11042, 288, 11, 2746, 7219, 21273, 62007, 19767, 3371, 10207, 21558, 76, 1960, 14644, 37122, 2991, 9913, 908, 3987, 12429, 939, 7461, 77, 4223, 4776, 14322, 1387, 896, 71, 265, 1064, 9855, 1180, 87818, 7276, 956, 11680, 413, 380, 5451, 5699, 1174, 89, 21673, 27941, 8666, 932, 7219, 21267, 285, 2407, 77302, 481, 6329, 859, 16972, 479, 22975, 1950, 275, 3187, 263, 54749, 730, 23771, 1174, 809, 15938, 749, 2412, 46168, 55874, 267, 321, 6595, 546, 11, 2746, 7219, 29618, 5197, 21062, 3092, 304, 27521, 12, 6123, 17029, 351, 65562, 7522, 2988, 32030, 5451, 40462, 14644, 37122, 11, 2746, 79509, 802, 3591, 11, 51743, 4081, 54092, 11, 58319, 2746, 14410, 28865, 65314, 43366, 129076, 802, 96115, 9421, 450, 71, 406, 2823, 258, 2391, 83592, 11, 4443, 304, 357, 2305, 8047, 17739, 472, 2245, 59785, 6395, 1187, 28421, 1187, 28421, 73741, 1032, 1064, 5718, 67, 11782, 709, 15681, 546, 939, 67467, 17739, 11840, 12495, 29159, 46014, 2154, 1370, 1268, 46014, 82, 304, 2694, 93719, 11, 2746, 7219, 10925, 5676, 1079, 95244, 422, 66897, 1174, 2185, 2280, 337, 2712, 71, 64864, 4443, 14847, 267, 45501, 5016, 133406, 46631, 69022, 63657, 51743, 11, 2746, 3371, 17837, 7964, 75378, 6591, 30005, 331, 301, 303, 87533, 2770, 19358, 6772, 7219, 79509, 265, 1064, 12, 2580, 437, 802, 3591, 85623, 5178, 20404, 1241, 288, 444, 31573, 301, 6199, 135972, 95285, 46631, 3605, 8528, 75378, 6591, 289, 22028, 5650, 613, 11, 6616, 7219, 3371, 79509, 802, 3591, 10246, 4370, 7219, 11461, 295, 1387, 11, 27521, 9089, 36852, 848, 406, 135972, 20005, 293, 35010, 10938, 6774, 440, 467, 71378, 2694, 56505, 622, 33748, 18294, 790, 64, 546, 11, 2746, 70511, 21982, 41663, 74063, 495, 2056, 458, 2694, 468, 622, 2185, 267, 399, 71, 5054, 481, 30005, 331, 301, 42341, 87710, 468, 622, 2185, 267, 399, 42241, 23745, 1743, 11, 2694, 8151, 4865, 11, 4443, 16151, 7219, 26125, 819, 64, 7063, 138417, 2185, 3563, 300, 87895, 6395, 71, 3454, 6395, 31915, 1020, 268, 6250, 7666, 268, 8495, 6616, 2770, 19358, 75, 198, 80350, 811, 481, 50750, 46125, 932, 135573, 50095, 472, 64864, 11, 2655, 577, 11, 350, 798, 1612, 2655, 577, 11, 350, 798, 1612, 1079, 11840, 12495, 29159, 46014, 68929, 932, 7219, 2655, 577, 350, 798, 1612, 26647, 23455, 16034, 85864, 350, 798, 1612, 11, 2655, 577, 85864, 10559, 37423, 20542, 2655, 577, 11, 350, 798, 1612, 4929, 28421, 7219, 85864, 350, 798, 1612, 11, 2655, 577, 37423, 20542, 151643, 8813, 8801, 468, 42894, 14892, 17, 19, 16, 16, 54, 5451, 13113, 12, 3707, 4145, 7180, 92603, 82, 61119, 481, 2340, 329, 2285, 198, 8813, 8801, 468, 42894, 14892, 17, 19, 16, 16, 54, 5451, 13113, 12, 3707, 4145, 7180, 92603, 82, 61119, 198, 80593, 51292, 6122, 595, 34271, 17917, 468, 42894, 15462, 47669, 220, 17, 19, 11171, 965, 23519, 5451, 2694, 2823, 50591, 46621, 330, 31671, 26570, 14892, 17, 19, 16, 16, 54, 1, 458, 13, 19000, 136800, 2694, 47669, 330, 36, 1015, 851, 34294, 50, 26105, 2739, 30166, 5178, 13785, 9820, 13113, 11278, 2245, 59785, 1371, 273, 32030, 2185, 2030, 22589, 12222, 53129, 220, 18, 18, 58975, 92603, 2739, 14383, 44977, 624, 36, 42894, 26141, 26570, 14892, 17, 19, 16, 16, 54, 320, 59243, 25, 468, 42894, 340, 54, 2603, 6616, 10623, 136249, 732, 8979, 50851, 851, 5650, 355, 74191, 11, 5786, 267, 6616, 10623, 13785, 15462, 14902, 6222, 3805, 6616, 23334, 42153, 28122, 8125, 4865, 2030, 6368, 267, 2746, 10623, 11278, 6703, 26612, 458, 13, 444, 2717, 468, 2843, 46, 19309, 83, 2694, 92603, 423, 14383, 1387, 40870, 17790, 14649, 7219, 19767, 82, 88718, 6772, 12222, 17790, 220, 16, 24, 58975, 624, 22171, 468, 42894, 14892, 17, 19, 16, 16, 54, 2739, 30166, 5178, 13785, 9820, 32050, 1489, 32454, 2185, 6538, 220, 16, 24, 17, 15, 856, 220, 16, 17, 15, 15, 44492, 75509, 1960, 11, 17058, 472, 6703, 26612, 6538 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 220, 18, 15, 15, 15307, 3183, 29456, 2030, 60729, 15462, 23388, 376, 559, 6538, 220, 16, 15, 15, 15, 25, 16, 13, 1527, 1527, 21062, 75, 43961, 64857, 4368, 422, 25308, 9420, 2030, 4368, 422, 12, 3136, 468, 287, 524, 17312, 90769, 13, 1863, 27105, 48376, 70753, 1070, 444, 2717, 82, 1726, 9034, 5451, 16868, 68, 8669, 220, 15, 11, 20, 58975, 2714, 42316, 4368, 58459, 4873, 20404, 309, 790, 60942, 624, 36, 42894, 22539, 21519, 3342, 7219, 3371, 220, 17, 19, 11171, 69396, 220, 20, 48015, 12193, 517, 645, 13, 9740, 130655, 6772, 22589, 6616, 136800, 17790, 304, 36744, 3128, 266, 19349, 11, 4368, 60939, 5999, 19104, 17790, 8793, 81331, 13, 151643, 1427, 6122, 26109, 732, 422, 44676, 2746, 28831, 74, 2625, 301, 27684, 2391, 654, 83, 13, 15017, 258, 1197, 35505, 12583, 28095, 1147, 1785, 13, 66419, 6538, 663, 1268, 261, 52159, 3591, 11, 9820, 30682, 10559, 11426, 288, 29413, 2185, 12385, 6616, 5016, 28658, 5679, 383, 723, 6538, 220, 17, 15, 17, 17, 13, 1674, 642, 74825, 20434, 17029, 2030, 1757, 275, 320, 93304, 44275, 8, 289, 395, 14348, 4865, 2739, 4748, 83, 13, 12741, 730, 25077, 26109, 24929, 732, 13017, 263, 13199, 301, 5436, 268, 5840, 2030, 2746, 3360, 273, 95038, 14410, 61007, 13, 34903, 4845, 89289, 6975, 13279, 50041, 11, 2746, 458, 2429, 12353, 732, 6122, 2994, 43303, 2030, 67658, 13279, 50041, 11, 2746, 39771, 7180, 2746, 28831, 74, 2625, 301, 294, 1370, 4733, 42316, 17630, 5337, 220, 16, 15, 15, 45506, 20048, 2746, 90935, 23470, 268, 2746, 28831, 74, 2625, 301, 63318, 12495, 624, 44, 1630, 477, 2305, 1960, 13906, 2694, 3360, 273, 198, 71858, 28831, 74, 2625, 301, 198, 1654, 90550, 81006, 84590, 220, 17, 15, 17, 17, 11397, 198, 17249, 482, 198, 41, 1466, 2488, 51898, 3004, 309, 1014, 2185, 1079, 220, 16, 20, 13, 4350, 18731, 220, 17, 15, 17, 18, 220, 16, 15, 25, 18, 15, 198, 53, 52780, 5016, 28658, 5679, 28134, 811, 831, 1079, 220, 19, 13, 3841, 93289, 220, 17, 15, 17, 18, 198, 30124, 28658, 5679, 28134, 811, 831, 1079, 220, 16, 23, 13, 3841, 93289, 220, 17, 15, 17, 18, 198, 44, 54988, 6538, 6975, 13279, 5573, 198, 13547, 7240, 220, 17, 15, 17, 17, 794, 13, 43509, 355, 6222, 331, 28658, 5679, 1323, 661, 388, 20542, 220, 16, 24, 17, 16, 384, 5058, 13, 663, 1268, 13, 16442, 553, 3478, 2740, 59620, 553, 19807, 151643, 7823, 482, 70777, 25, 14804, 7180, 9820, 26647, 1859, 51528, 2994, 7219, 23273, 6395, 27877, 87, 17, 37, 26, 21766, 12442, 9034, 26647, 1859, 35141, 10638, 312, 7522, 30, 2503, 42616, 58881, 773, 9820, 19929, 4865, 82, 423, 10661, 37949, 51939, 668, 4260, 28421, 11, 52367, 265, 6616, 24929, 9820, 63318, 306, 20005, 6250, 10661, 37949, 5451, 1863, 51078, 2863, 932, 12385, 86913, 10638, 2994, 6395, 17443, 57123, 261, 2030, 17443, 59820, 1862, 276, 86, 3145, 48376, 301, 21140, 11, 35141, 52434, 17790, 14649, 9820, 50244, 424, 37896, 2030, 23273, 53797, 12709, 134662, 932, 2030, 24929, 8151, 4865, 2994, 2694, 57123, 261, 2746, 26647, 1859, 30, 151643, 925, 16128, 48993, 25, 730, 447, 24803, 13368, 43217, 279, 79021, 60622, 58065, 7219, 2746, 15586, 760, 1298, 50855, 7964, 11610, 198, 925, 16128, 48993, 25, 730, 447, 24803, 13368, 43217, 279, 79021, 60622, 58065, 7219, 2746, 15586, 198, 38, 59378, 73461, 1079, 220, 16, 22, 13, 15, 19, 13, 17, 15, 16, 23, 4443, 220, 16, 15, 25, 16, 17, 38183, 624, 54370, 5052, 16128, 48993, 66386, 23118, 65295, 732, 79509, 136740, 5052, 16128, 15843, 447, 24803, 7219, 2694, 15586, 11, 77556, 6616, 61217, 43217, 6222, 44236, 2030, 2350, 96937, 7679, 624, 22171, 54129, 10559, 39133, 5052, 16128, 686, 38897, 57035, 265, 28324, 9919, 14668, 289, 1122, 2416, 1704, 273, 7964, 47008, 13, 71474, 15462, 595, 34271, 92172, 6616, 61197, 11, 1147, 10110, 4979, 7180, 3371, 54129, 17739, 98317, 11, 6616, 34256, 16150, 19643, 458, 11, 16034, 38684, 55879, 883, 81331, 11, 43908, 730, 447, 24803, 10712, 15723, 1574, 6079, 268, 7180, 2746, 22799, 15586, 6395, 141870, 21673, 13, 19000, 49081, 2986, 30005, 89131, 21506, 2429, 330, 925, 16128, 48993, 34294, 43168, 13, 33312, 36744, 84100, 12583, 13906, 60297, 304, 6323, 28086, 18520, 485, 8224, 1014, 11595, 5451, 36526, 39157, 8398, 54395, 331, 31261, 624, 1427, 79509, 46668, 97748, 12643, 2746, 48158, 136740, 330, 925, 16128, 48993, 34294, 27808, 301, 57465, 39337, 304, 6323, 10712, 10928, 29181, 15232, 11496, 2030, 38500, 141871, 13, 21766, 49536, 5999, 6616, 61217, 43217, 279, 79021, 60622, 13, 19000, 28788, 323, 6452, 1842, 370, 742, 13820, 3371, 1501, 45258, 47175, 49539, 11, 2694, 49910, 331, 16034, 19924, 1716, 7522, 6538, 5052, 16128, 26109, 13, 730, 13796, 11, 304, 3371, 37801, 524, 33370, 45506, 8896, 19349, 98157, 35515, 485, 5016, 2305, 5183, 2714, 75, 22449, 11, 52507, 4368, 84187, 331, 2338, 43217, 6222, 44236, 14047, 2429, 38684, 83380, 709, 42789, 5999, 13, 36574, 3371, 76018, 8896, 2694, 4368, 267, 74539, 665, 23388, 74, 951, 6538, 7297, 23381, 14047, 13368, 13906, 41983, 41796, 11, 2746, 9089, 25531, 17790, 458, 3371, 48158, 19751, 8398, 7180, 6616, 5052, 16128, 10824, 739, 2030, 34256, 16150, 2714, 24716, 10316, 624, 35, 1180, 17058, 13411, 83902, 142580, 24440, 43217, 279, 79021, 60622, 82664, 28086, 96976, 267, 21506, 28129, 82, 58237, 11, 19104, 7219, 2694, 15586, 52549, 6616, 49081, 2986, 5451, 61430, 6433, 13620, 2956, 15897, 268, 54548, 6772, 17790, 18520, 140748, 624, 4896, 72998, 268, 12643, 6616, 14686, 724, 44236, 2350, 96937, 7679, 11, 8515, 97138, 304, 75964, 4337, 320, 1371, 3341, 220, 1723, 66693, 968, 6772, 24016, 301, 7180, 6616, 10824, 739, 701, 2746, 34256, 12, 32457, 83902, 939, 5586, 39157, 2010, 26691, 11732, 220, 19, 2030, 2746, 64207, 19625, 2780, 4942, 6538, 49709, 25413, 11, 17058, 386, 16053, 2185, 9421, 5586, 12, 2030, 55519, 44236, 11, 10712, 330, 925, 16128, 48993, 34294, 27808, 301, 7180, 2746, 15586, 141871, 13, 1230, 10561, 277, 5999, 14840, 5205, 11, 572, 24440, 22996, 58193, 58285, 50900, 11, 4443, 2746, 730, 447, 24803, 21506, 28129, 82, 12385, 7219, 2429, 67703, 25987, 325, 1923, 1147, 1176, 268, 6395, 141489, 13, 45481, 36526, 85877, 84952, 63319, 1531, 19104, 304, 94885, 14785, 2714, 24716, 360, 713, 19349, 11, 14948, 5052, 16128, 38897, 452 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1960, 53651, 7180, 2746, 49627, 39537, 1546, 83380, 1323, 74919, 13, 43997, 22799, 8793, 9421, 2429, 3406, 838, 51528, 5451, 53936, 20721, 5277, 11, 24929, 47827, 50697, 2746, 38684, 39133, 49183, 12643, 11, 40870, 24440, 730, 447, 24803, 13368, 43217, 279, 79021, 60622, 21506, 28129, 82, 58237, 142580, 13, 151643, 52279, 13775, 11250, 64, 48842, 13785, 2746, 7357, 11, 16402, 5612, 19985, 16631, 25058, 645, 11, 730, 3313, 11, 96185, 11, 56740, 11, 49342, 11, 12100, 3178, 645, 198, 1791, 7994, 25, 220, 22, 13, 16, 220, 17, 15, 16, 15, 220, 16, 16, 18, 1308, 220, 21, 17, 38453, 28698, 198, 54, 21519, 9300, 2694, 730, 494, 843, 64172, 14821, 85439, 11, 4368, 6975, 331, 36568, 51663, 52990, 76, 41014, 11, 6395, 17443, 1197, 1937, 33370, 30682, 89999, 17312, 330, 52, 1174, 74991, 1, 25620, 70980, 13, 85439, 5999, 9089, 2503, 151643, 8847, 1942, 4366, 481, 467, 1776, 2685, 34699, 8536, 2010, 370, 42789, 5451, 3371, 7279, 25, 62301, 12304, 258, 34699, 3339, 481, 20429, 9376, 2749, 52274, 481, 15928, 1579, 198, 16, 20, 13, 5813, 220, 17, 15, 16, 24, 11, 220, 17, 15, 25, 20, 18, 38183, 198, 54, 1776, 2685, 34699, 8536, 2010, 370, 42789, 5451, 3371, 7279, 198, 19552, 2248, 12304, 258, 34699, 3339, 198, 37326, 40334, 582, 71, 3342, 9089, 34699, 38383, 8536, 301, 1991, 288, 649, 94650, 5451, 3371, 7279, 481, 10712, 4368, 35363, 288, 9812, 8125, 437, 13, 14804, 13368, 9820, 18876, 325, 13906, 3371, 67015, 672, 58193, 24131, 645, 426, 11, 71467, 14033, 36077, 13785, 2746, 259, 4738, 268, 2825, 2305, 7964, 47226, 12095, 2030, 19846, 624, 37326, 40334, 8896, 458, 36744, 9795, 351, 304, 3240, 30203, 301, 38383, 6250, 10661, 75, 11595, 13785, 4368, 8536, 2010, 370, 42789, 5451, 3371, 7279, 668, 709, 73790, 406, 13, 4114, 33235, 7073, 47227, 25, 21766, 17443, 11426, 13368, 3371, 7279, 11, 6616, 9421, 2429, 730, 4659, 88607, 42789, 6538, 220, 17, 15, 16, 20, 9421, 455, 85885, 5999, 11, 686, 12095, 79913, 30632, 268, 8536, 2010, 29639, 5699, 11567, 26824, 13, 55448, 8793, 5451, 2694, 74539, 1960, 467, 61811, 3563, 15938, 2694, 44966, 624, 32617, 42137, 330, 68, 482, 67232, 2694, 479, 54371, 1371, 10661, 37949, 304, 66482, 8536, 2010, 1371, 13536, 71, 11595, 2030, 9820, 67232, 2694, 467, 13820, 497, 10246, 26824, 8907, 962, 6538, 2340, 54840, 1713, 60444, 62301, 1079, 69713, 10938, 7219, 1527, 83301, 939, 20429, 9376, 2749, 2739, 75, 2717, 268, 13, 71161, 25, 330, 52, 44128, 301, 1517, 493, 268, 20048, 8793, 7180, 63620, 17837, 1960, 2030, 7180, 32936, 8793, 3263, 38500, 330, 130187, 64513, 387, 68057, 81760, 2030, 73928, 7180, 2746, 647, 13820, 307, 42603, 939, 730, 4659, 300, 384, 396, 85885, 22956, 32617, 53835, 2746, 38684, 9812, 8125, 57396, 66653, 13, 8495, 43303, 13279, 17443, 12475, 25651, 2694, 9812, 8125, 437, 86, 61811, 82, 1065, 1571, 304, 3240, 30203, 301, 12304, 17058, 13409, 1859, 17958, 2185, 6538, 9812, 15843, 316, 2728, 2030, 67015, 2305, 285, 2407, 40577, 27684, 337, 5178, 11, 38383, 8536, 301, 1991, 288, 649, 94650, 5451, 6515, 7219, 89, 359, 2636, 5676, 624, 47789, 268, 5016, 54913, 42668, 9812, 15843, 316, 5176, 75079, 19685, 7658, 4260, 793, 11782, 15160, 28086, 732, 37801, 524, 33370, 79509, 5451, 2274, 12, 143687, 9453, 3339, 72943, 258, 40579, 2030, 40870, 13906, 60297, 304, 44979, 7180, 56381, 9740, 273, 4865, 261, 2185, 14410, 82751, 13, 3339, 42668, 6395, 36115, 26647, 69, 89, 49802, 273, 7219, 794, 16722, 2030, 88482, 9421, 38500, 48376, 823, 21558, 3342, 2030, 40870, 52193, 299, 426, 11, 9911, 10928, 7219, 91552, 6395, 2739, 71, 25423, 268, 13, 19000, 58881, 75590, 44979, 51873, 13, 23334, 704, 70336, 1083, 11, 22075, 3339, 26252, 5451, 9089, 2518, 268, 10246, 23455, 2030, 9089, 7219, 4368, 330, 59335, 37866, 8528, 19643, 12, 5830, 42789, 1, 4368, 70489, 67594, 11, 13368, 44999, 6616, 37699, 6538, 2694, 9812, 6454, 477, 31475, 665, 3680, 42789, 308, 40193, 13, 17888, 23455, 1818, 2305, 811, 13368, 4368, 1356, 59335, 37866, 8528, 7577, 6996, 437, 2010, 370, 42789, 320, 14903, 3298, 8, 12583, 14019, 25402, 258, 21982, 350, 16053, 624, 28684, 372, 19104, 5699, 529, 24929, 9270, 40334, 9421, 5267, 18175, 31287, 1777, 9740, 77131, 2185, 5999, 2694, 38500, 13002, 16722, 74, 1121, 69, 13, 71474, 278, 9270, 40334, 82, 647, 11023, 7219, 2429, 31643, 1268, 81831, 28122, 2301, 5999, 13, 758, 8536, 2010, 1626, 8535, 36852, 57926, 295, 2746, 9812, 817, 54412, 22385, 2030, 8793, 732, 730, 2382, 724, 11, 9820, 94788, 811, 70772, 2660, 13368, 2694, 29413, 2746, 6538, 12095, 93985, 24929, 28883, 18069, 1489, 1854, 13, 4841, 9089, 62301, 1083, 9824, 1579, 337, 436, 10712, 10487, 52662, 730, 4659, 585, 141943, 802, 34699, 3339, 52354, 16030, 30, 9236, 342, 17707, 4443, 15462, 330, 86, 288, 306, 21673, 35672, 275, 709, 4370, 2685, 2694, 61921, 2305, 17739, 467, 58193, 497, 305, 645, 7997, 1531, 9421, 2429, 28024, 60392, 7888, 9299, 278, 559, 624, 19552, 2248, 7219, 23388, 6951, 804, 74, 1723, 198, 51, 1862, 31573, 6772, 84952, 63319, 71968, 2429, 62301, 13002, 13269, 649, 1387, 85725, 36077, 18520, 4087, 40188, 481, 572, 1640, 9433, 70439, 74890, 2660, 5451, 44979, 7219, 6566, 30353, 15719, 13, 5016, 263, 732, 37801, 524, 33370, 6122, 42668, 2694, 1422, 12070, 32454, 10559, 2340, 54840, 1713, 2746, 9812, 7219, 709, 8187, 529, 11, 8536, 2010, 370, 42789, 330, 1763, 50041, 386, 31573, 1960, 668, 89, 1111, 71, 12495, 11, 2746, 8793, 6616, 4270, 12059, 3680, 42789, 592, 78881, 16030, 3263, 9740, 27298, 40870, 2694, 730, 4659, 16657, 275, 1579, 9820, 26956, 355, 5342, 31399, 36614, 139115, 2694, 8536, 2010, 90527, 1579, 11, 66983, 1531, 68517, 80478, 5999, 11, 387, 3341, 8793, 97341, 1952, 258, 8199, 9421, 89, 355, 2493, 8398, 624, 35, 1466, 2245, 2739, 652, 4370, 9089, 3354, 10559, 18977, 533, 25, 62301, 289, 54048, 9089, 10712, 330, 42, 4659, 672, 3818, 2660, 1571, 1, 15269, 58158, 11, 2739, 6984, 295, 2746, 4270, 12059, 28831, 2185, 330, 2304, 3128, 450, 3263, 1597, 485, 53835, 1531, 20321, 1524, 25, 10712, 91929, 267, 64649, 396, 268, 24209, 1387, 11, 85117, 13785, 2746, 467, 58193, 732, 42256, 305, 2210, 355, 11, 2746, 61921, 2305, 10559, 730, 4659, 16657, 275, 1579, 7219, 25655, 86, 50958, 624 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 38, 54371, 97973, 83630, 295, 9089, 9820, 38383, 27573, 2694, 1422, 12070, 2956, 14406, 7522, 38500, 9299, 337, 275, 1579, 458, 25, 49279, 1854, 5451, 3371, 85117, 40334, 19875, 39265, 85, 79985, 43183, 4370, 7401, 25610, 7180, 9820, 357, 13977, 7052, 5388, 461, 13820, 9812, 481, 9911, 17630, 9421, 4270, 12059, 328, 4865, 6395, 59765, 27684, 21558, 3342, 11, 52507, 9089, 31313, 13368, 44979, 12222, 69987, 26956, 791, 1960, 13, 7281, 5436, 32030, 9270, 40334, 48614, 15462, 357, 13977, 7052, 268, 76604, 39416, 304, 38500, 8793, 18520, 6538, 6170, 268, 11, 51290, 19767, 2926, 1942, 6538, 7906, 26824, 6395, 12672, 16030, 13, 422, 60119, 19104, 39264, 62301, 7219, 13207, 40951, 23388, 6951, 367, 5451, 69507, 11, 2746, 2714, 10712, 29001, 804, 73938, 932, 285, 81314, 15938, 295, 25, 50041, 13906, 276, 3339, 2030, 2746, 5450, 268, 624, 18175, 23334, 138087, 74453, 57671, 2030, 65520, 8313, 83880, 15462, 198, 1, 1658, 1528, 73689, 11, 37143, 46420, 91855, 2746, 30976, 273, 939, 93615, 3651, 449, 37122, 2030, 62301, 2746, 939, 425, 2956, 11759, 497, 5699, 44914, 2694, 4270, 12059, 330, 28935, 17165, 1, 595, 5186, 89, 6772, 6395, 3371, 502, 2391, 968, 15795, 23907, 7671, 59378, 75, 43961, 2694, 9812, 13, 330, 35544, 66360, 13, 36574, 32936, 2770, 43506, 268, 11, 1531, 342, 2305, 1371, 69987, 22080, 649, 45699, 2030, 2694, 1422, 12070, 32454, 10559, 2340, 54840, 1713, 91855, 5451, 3371, 39538, 17454, 11, 4443, 9089, 304, 17443, 38500, 19767, 89, 18187, 5679, 11, 6616, 38897, 67703, 1863, 24619, 31100, 269, 30353, 8896, 10040, 47789, 288, 39538, 2010, 44236, 3566, 83, 62301, 28095, 10928, 13279, 3371, 8536, 301, 1991, 288, 649, 2305, 7522, 5451, 3371, 7279, 13, 42616, 28789, 23907, 481, 23738, 19846, 1147, 48418, 11687, 35951, 5436, 1387, 665, 11, 3371, 9812, 6691, 3414, 1442, 2694, 5450, 268, 6395, 73197, 61897, 932, 11, 66983, 12095, 40662, 369, 5855, 13820, 481, 62459, 49536, 2746, 92191, 2030, 1422, 12070, 2956, 14406, 7522, 12380, 268, 25531, 30632, 264, 810, 258, 8199, 13, 96943, 74453, 3339, 82, 15187, 39470, 2142, 355, 2030, 2746, 2825, 42950, 20175, 805, 57926, 2185, 2694, 5450, 268, 7180, 3371, 23907, 9911, 83880, 4368, 8199, 43117, 1923, 90845, 13, 758, 704, 78733, 5999, 6616, 4270, 12059, 647, 11023, 48614, 304, 3240, 30203, 301, 24929, 40157, 48803, 6395, 71593, 610, 139377, 1659, 20004, 265, 36947, 261, 624, 17360, 67594, 5016, 1111, 37896, 624, 2428, 1110, 2136, 8572, 74947, 2285, 92750, 275, 1579, 14, 11855, 1933, 80870, 1180, 40334, 30207, 71, 406, 12, 1127, 5655, 258, 35363, 288, 5655, 84, 12, 1933, 39978, 361, 24413, 301, 1991, 288, 649, 5918, 1528, 1448, 275, 96528, 25682, 64, 38030, 7409, 12, 16, 17, 21, 17, 24, 19, 17, 2564, 198, 35, 299, 71, 10938, 8979, 89, 49802, 273, 25, 9812, 39620, 64, 13518, 2714, 4260, 75967, 8536, 301, 1991, 288, 649, 94650, 5451, 3371, 7279, 320, 16, 16, 13, 15, 19, 13, 17, 15, 16, 24, 340, 2428, 1110, 2136, 8572, 74947, 2285, 6324, 61811, 14, 704, 89, 32788, 16546, 84, 5477, 64, 13518, 12, 261, 4260, 75967, 24413, 301, 1991, 288, 649, 5918, 1528, 1448, 275, 96528, 25682, 64, 7409, 12, 16, 17, 21, 17, 19, 20, 21, 2564, 198, 2428, 1110, 2136, 8572, 74947, 2285, 92750, 275, 1579, 14, 11855, 1933, 3470, 265, 20241, 36512, 36164, 1448, 580, 2248, 96326, 426, 12, 696, 22371, 1448, 352, 3419, 1448, 3497, 268, 50378, 8535, 93082, 68, 1923, 12, 1127, 12, 524, 8294, 12, 1174, 17659, 7409, 12, 16, 17, 21, 17, 15, 15, 22, 2564, 151643, 17, 48015, 14047, 5938, 86, 819, 12, 5830, 267, 324, 89, 25, 44499, 268, 88519, 896, 1081, 34271, 295, 794, 2085, 2185, 760, 21491, 55874, 54594, 6879, 1370, 258, 198, 17, 48015, 14047, 5938, 86, 819, 12, 5830, 267, 324, 89, 25, 44499, 268, 88519, 896, 1081, 34271, 295, 794, 2085, 2185, 198, 53, 269, 54936, 645, 258, 49662, 45506, 2739, 9566, 27926, 32895, 277, 2210, 328, 72216, 34080, 52716, 468, 29032, 1020, 28789, 3680, 267, 324, 89, 2694, 5938, 86, 819, 5251, 300, 87895, 13, 63678, 8896, 2746, 44499, 268, 88519, 896, 9820, 794, 2085, 2185, 342, 14412, 34271, 295, 11, 2746, 489, 27097, 42341, 43999, 143562, 22589, 624, 77939, 32895, 277, 2210, 328, 72216, 34080, 8896, 13279, 5938, 86, 819, 12, 5830, 267, 324, 89, 52716, 29860, 2739, 385, 1440, 49342, 25, 91502, 392, 1342, 2072, 608, 600, 19369, 198, 77939, 32895, 277, 2210, 328, 72216, 34080, 2739, 9566, 52716, 468, 29032, 1020, 2030, 3371, 647, 962, 54649, 43999, 198, 18175, 63657, 71859, 896, 939, 44499, 268, 686, 489, 27097, 303, 268, 16840, 932, 82197, 198, 77939, 32895, 277, 2210, 328, 72216, 34080, 49933, 309, 34542, 36077, 141786, 198, 22171, 5938, 86, 819, 12, 5830, 267, 324, 89, 732, 37419, 220, 17, 15, 16, 20, 68917, 76, 27926, 32895, 277, 2210, 328, 72216, 34080, 52716, 17837, 645, 65, 1960, 468, 29032, 1020, 11, 3371, 647, 962, 54649, 43999, 13, 12741, 3739, 1127, 220, 18, 20, 13333, 36956, 7256, 44499, 64015, 3371, 3680, 267, 324, 89, 8793, 2739, 73938, 932, 11, 19349, 3539, 9299, 23958, 4087, 84, 13820, 2746, 19868, 87895, 304, 2746, 1422, 12070, 2956, 14406, 7522, 1674, 2752, 13, 47436, 2429, 3680, 267, 324, 89, 6774, 7964, 12304, 220, 16, 20, 15, 9726, 27277, 624, 32617, 91717, 75, 19358, 63940, 54936, 645, 258, 49662, 48015, 49503, 2030, 28095, 66316, 2746, 71859, 896, 38684, 82197, 13, 8495, 2030, 34749, 69791, 43999, 17630, 14047, 2429, 71602, 17739, 91717, 75, 19358, 36077, 141786, 74675, 2030, 37699, 66316, 27926, 32895, 277, 2210, 328, 72216, 34080, 39771, 49503, 42316, 13, 15017, 372, 8896, 9911, 2746, 19626, 6222, 72216, 34080, 39620, 2085, 2185, 17246, 49958, 384, 5137, 89730, 13, 44799, 5573, 8896, 2746, 136458, 267, 2085, 2185, 85865, 58244, 2746, 44850, 343, 51707, 81331, 3893, 42316, 13, 2823, 13536, 71, 408, 7219, 3371, 37801, 524, 33370, 38020, 33137, 94905, 27298, 2746, 136458, 267, 2085, 2185, 81331, 25, 330, 65835, 17298, 8801, 2030, 19321, 267, 140527, 6395, 17443, 14047, 39416, 6433, 25714, 1323, 1387, 50232, 1440, 20048, 11, 26956, 68, 380, 27926, 32895, 277, 2210, 328, 72216, 34080, 13, 8408, 468, 383, 96115, 939, 44499, 268, 19626, 328, 72216, 34080, 11, 2694, 732, 135777, 220, 17, 15 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 16, 20, 3371, 3680, 267, 324, 89, 17058, 5938, 86, 819, 6899, 87895, 304, 3371, 1422, 12070, 2956, 14406, 7522, 1674, 2752, 8793, 2739, 73938, 932, 64015, 2030, 4443, 82, 55397, 33661, 11, 8896, 21506, 2429, 422, 610, 2694, 136458, 267, 2085, 2185, 85865, 58244, 15462, 794, 2085, 2185, 17246, 49958, 342, 14412, 34271, 295, 2030, 14047, 71017, 29860, 3318, 93339, 10040, 77939, 32895, 277, 2210, 328, 72216, 34080, 2030, 34749, 43999, 36408, 12540, 1440, 36077, 141786, 14047, 2429, 91717, 75, 19358, 13, 8408, 54936, 333, 1777, 386, 6207, 2714, 89, 83049, 33109, 12, 19598, 139115, 25, 330, 75919, 2429, 58583, 752, 1543, 29860, 288, 17630, 44390, 69791, 43999, 2030, 10638, 25494, 36077, 141786, 74675, 13, 8408, 45515, 48414, 752, 1543, 29860, 288, 17630, 1230, 36115, 41137, 4645, 416, 97502, 380, 295, 13, 9236, 26109, 36077, 14410, 3740, 295, 13, 19000, 66316, 10638, 28095, 54064, 502, 11595, 42786, 2030, 52716, 52159, 3591, 1147, 1070, 321, 6566, 5183, 47008, 481, 502, 11595, 42786, 11, 87862, 44966, 19767, 3371, 6250, 70979, 36108, 74021, 4317, 6402, 2636, 19875, 42786, 289, 473, 3818, 2030, 26252, 27684, 477, 17917, 12643, 35141, 1189, 33312, 61805, 336, 6008, 27926, 32895, 277, 2210, 328, 72216, 34080, 4368, 37471, 30386, 17149, 7180, 43999, 11, 304, 12442, 2407, 17298, 8801, 2030, 19321, 267, 87587, 87027, 13920, 7219, 54727, 19985, 295, 12643, 81146, 13, 151643, 74863, 609, 11999, 268, 1365, 11999, 19289, 258, 220, 16, 23, 22, 22, 4929, 1704, 198, 54370, 13785, 220, 16, 15, 15, 15, 77094, 291, 932, 5999, 2746, 35708, 12, 2030, 11999, 370, 55632, 2185, 2746, 74539, 665, 3680, 55632, 2185, 732, 68832, 258, 624, 2250, 82, 61231, 408, 3275, 490, 41203, 343, 5999, 24440, 81020, 7180, 9740, 86, 86873, 1952, 2030, 7180, 43999, 412, 268, 4894, 74863, 12, 37361, 220, 17, 23, 13, 15, 24, 13, 17, 15, 16, 24, 220, 16, 22, 25, 18, 15, 198, 57, 2794, 7064, 16292, 43167, 12152, 7539, 3567, 42637, 67754, 198, 61598, 1579, 11, 140748, 11, 18977, 39127, 609, 25242, 198, 42, 19786, 13906, 62401, 2030, 326, 67395, 732, 89507, 17058, 18207, 32957, 23898, 35708, 14906, 76, 59570, 624, 57, 27105, 80544, 566, 23678, 16111, 65295, 5451, 64489, 26824, 84520, 2030, 5699, 27105, 7997, 10157, 579, 19875, 5547, 11672, 4368, 11, 67658, 51528, 2694, 140748, 49536, 8793, 6395, 70984, 624, 18175, 8554, 5999, 7180, 53165, 11, 1508, 77094, 291, 12385, 136088, 18926, 97369, 0, 51310, 3089, 10938, 5999, 60637, 54064, 686, 42789, 624, 63599, 89487, 328, 1762, 86, 550, 10141, 91712, 37633, 1079, 220, 17, 15, 13, 6122, 220, 17, 15, 16, 24, 220, 17, 16, 13, 6122, 220, 17, 15, 16, 24, 730, 7593, 3591, 35708, 609, 11999, 268, 198, 19389, 74, 2305, 802, 75, 220, 17, 23, 13, 15, 24, 13, 17, 15, 16, 24, 1365, 220, 16, 19, 12, 16, 21, 38183, 198, 70451, 43999, 12583, 1059, 89, 6772, 48376, 301, 21140, 24440, 11999, 74, 2305, 802, 75, 6395, 37896, 624, 17360, 27298, 95710, 1674, 5045, 901, 89097, 2030, 30512, 65, 11595, 624, 63599, 89487, 328, 1762, 86, 550, 10141, 91712, 37633, 1079, 220, 17, 15, 13, 6122, 220, 17, 15, 16, 24, 220, 17, 15, 13, 6122, 220, 17, 15, 16, 24, 730, 7593, 3591, 43999, 412, 268, 198, 20705, 24585, 7276, 82348, 84590, 7219, 2429, 44382, 90360, 939, 5883, 16, 23, 22, 22, 198, 6091, 220, 17, 23, 13, 15, 24, 13, 75315, 23898, 6252, 24585, 7276, 82348, 84590, 7219, 2429, 44382, 90360, 939, 5883, 16, 23, 22, 22, 67317, 13, 330, 20705, 24585, 7276, 82348, 84590, 7219, 2429, 44382, 90360, 939, 5883, 16, 23, 22, 22, 1, 30632, 56027, 198, 63599, 89487, 328, 1762, 86, 550, 10141, 91712, 37633, 1079, 220, 23, 13, 6122, 220, 17, 15, 16, 24, 220, 17, 16, 13, 6122, 220, 17, 15, 16, 24, 730, 7593, 3591, 49096, 64732, 11, 35708, 609, 11999, 268, 198, 15653, 16, 23, 22, 22, 5999, 2694, 2825, 2956, 7997, 665, 4894, 22171, 5883, 16, 23, 22, 22, 4929, 1704, 5999, 47332, 1536, 896, 457, 2694, 74539, 665, 68832, 258, 732, 451, 89220, 48020, 11426, 13, 44462, 220, 18, 15, 15, 15, 13, 77094, 291, 26109, 28095, 79432, 5016, 16106, 56505, 71, 3342, 13, 330, 15653, 16, 23, 22, 22, 5999, 2694, 2825, 2956, 7997, 665, 8958, 30632, 56027, 198, 63599, 89983, 96382, 1174, 320, 16, 13, 647, 1087, 11042, 1659, 8, 10141, 91712, 37633, 1079, 220, 21, 13, 6156, 220, 17, 15, 16, 24, 220, 17, 16, 13, 6122, 220, 17, 15, 16, 24, 730, 7593, 3591, 49096, 64732, 11, 35708, 609, 11999, 268, 198, 50, 19786, 388, 403, 14906, 76, 1079, 42783, 343, 22157, 7725, 220, 17, 15, 16, 24, 198, 1427, 6156, 75315, 26252, 4368, 79509, 14906, 76, 7219, 2429, 1032, 6433, 57548, 67317, 13, 47436, 17859, 336, 467, 21405, 66238, 16111, 26252, 9820, 11401, 490, 3145, 458, 37210, 791, 2185, 458, 13, 330, 50, 19786, 388, 403, 14906, 76, 1079, 42783, 343, 22157, 7725, 220, 17, 15, 16, 24, 1, 30632, 56027, 198, 63599, 89983, 96382, 1174, 320, 16, 13, 647, 1087, 11042, 1659, 8, 10141, 91712, 37633, 1079, 220, 17, 13, 6156, 220, 17, 15, 16, 24, 220, 19, 13, 6156, 220, 17, 15, 16, 24, 730, 7593, 3591, 49096, 64732, 11, 35708, 609, 11999, 268, 11, 35708, 12, 14373, 11, 92610, 3145, 11595, 198, 49882, 1174, 11855, 1489, 768, 2694, 730, 29886, 3959, 1536, 198, 36, 343, 44275, 73184, 1960, 16111, 14047, 33384, 34538, 28710, 932, 11, 85725, 342, 40308, 16111, 50435, 9680, 13279, 220, 18, 20, 21794, 58052, 7219, 13, 12741, 384, 29032, 278, 7256, 54092, 1113, 56398, 1674, 7526, 135972, 529, 13703, 92172, 6975, 2746, 25527, 1528, 13, 1527, 21062, 56400, 408, 66093, 1531, 14047, 4182, 359, 75858, 17312, 5016, 265, 258, 485, 72, 467, 2956, 11008, 301, 11, 2746, 36077, 140370, 10712, 2714, 35608, 295, 4116, 624, 22171, 3680, 408, 282, 437, 15462, 18747, 28658, 21673, 20004, 74, 5205, 304, 2694, 25453, 84, 485, 343, 559, 267, 14033, 665, 17220, 769, 13111, 304, 4182, 359, 75858, 624, 63599, 79735, 44336, 59282, 10141, 91712, 37633, 1079, 220, 16, 13, 6156, 220, 17, 15, 16, 24, 220, 16, 21, 13, 6122, 220, 17, 15, 16, 24, 730, 7593, 3591 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 35708, 609, 11999, 268, 11, 8536, 3959, 198, 23692, 1126, 55457, 220, 17, 15, 25, 15, 15, 1365, 220, 17, 16, 25, 16, 20, 38183, 198, 63599, 89487, 328, 1762, 86, 550, 10141, 91712, 37633, 1079, 220, 17, 18, 13, 72124, 220, 17, 15, 16, 24, 220, 17, 18, 13, 72124, 220, 17, 15, 16, 24, 730, 7593, 3591, 37573, 198, 6108, 19, 11894, 28789, 11426, 54942, 285, 97761, 198, 6727, 19, 11894, 1365, 10928, 28789, 220, 17, 15, 13, 11426, 54942, 285, 97761, 220, 17, 15, 16, 24, 43303, 16111, 26252, 49536, 624, 1, 6108, 19, 11894, 28789, 11426, 54942, 285, 97761, 1, 30632, 56027, 198, 63599, 89487, 328, 1762, 86, 550, 10141, 91712, 37633, 1079, 220, 20, 13, 72124, 220, 17, 15, 16, 24, 220, 17, 21, 13, 72124, 220, 17, 15, 16, 24, 730, 7593, 3591, 49096, 64732, 11, 35708, 609, 11999, 268, 11, 8536, 3959, 11, 1967, 4865, 587, 1149, 1579, 198, 53750, 49765, 465, 68080, 2501, 16053, 198, 1514, 275, 68042, 45506, 51873, 9089, 2746, 730, 29886, 3959, 261, 70651, 267, 2032, 16034, 74354, 24774, 11999, 268, 2030, 93644, 56400, 408, 16034, 68080, 2501, 16053, 304, 2694, 68832, 1330, 70, 559, 267, 14033, 665, 13, 3303, 3155, 11, 3371, 220, 16, 18, 13, 15, 21, 13, 98888, 883, 9089, 19104, 330, 1427, 384, 29032, 278, 6433, 42068, 1118, 261, 497, 17058, 18747, 28658, 21673, 467, 61811, 304, 2694, 84991, 802, 23682, 44278, 11, 2746, 88028, 14047, 220, 23, 45506, 25620, 76166, 14821, 13, 330, 53750, 49765, 465, 68080, 2501, 16053, 1, 30632, 56027, 198, 63599, 89487, 328, 1762, 86, 550, 10141, 91712, 37633, 1079, 220, 17, 15, 13, 80157, 220, 17, 15, 16, 24, 220, 17, 18, 13, 80157, 220, 17, 15, 16, 24, 730, 7593, 3591, 35708, 609, 11999, 268, 11, 92610, 3145, 11595, 198, 2810, 9770, 5999, 4368, 7297, 12, 36930, 7180, 30027, 1574, 35708, 11, 30027, 1574, 64560, 2030, 30027, 1574, 30022, 17149, 344, 36614, 624, 74863, 76, 1362, 301, 57984, 4368, 38805, 84732, 62401, 6395, 1931, 285, 1268, 408, 288, 14410, 1241, 87818, 14881, 17029, 288, 16151, 11, 35708, 1371, 78400, 13820, 53165, 1674, 5045, 20048, 1932, 9770, 55928, 29413, 2030, 13785, 541, 4368, 746, 5679, 2030, 18207, 1536, 47808, 4093, 8345, 500, 16676, 77919, 1531, 10712, 24440, 14662, 3187, 2944, 14906, 76, 624, 78470, 5679, 8495, 12222, 3371, 72705, 135720, 10712, 26125, 819, 137143, 2030, 47008, 8495, 9089, 6538, 3371, 41130, 15671, 41663, 337, 4370, 50697, 704, 12242, 16030, 13368, 10489, 65, 84384, 7522, 624, 6406, 35010, 2010, 54342, 11, 2714, 3667, 12648, 198, 63599, 89487, 328, 1762, 86, 550, 10141, 91712, 37633, 1079, 220, 17, 21, 13, 5813, 220, 17, 15, 16, 24, 220, 19, 13, 6156, 220, 17, 15, 16, 24, 730, 7593, 3591, 35708, 609, 11999, 268, 11, 97211, 8485, 331, 13363, 86, 9416, 465, 1932, 9770, 151643, 5800, 4972, 20542, 47226, 40537, 2030, 5573, 25, 3680, 37699, 65836, 3845, 75410, 2030, 29769, 82, 54831, 304, 2694, 9784, 1845, 42759, 1440, 198, 45, 329, 482, 6538, 39997, 331, 28284, 760, 220, 17, 22, 13, 15, 19, 13, 17, 16, 198, 22171, 9784, 15843, 27045, 932, 293, 2717, 3371, 12352, 7671, 485, 713, 30632, 9421, 2030, 85104, 13977, 5840, 12412, 25655, 2746, 22817, 20542, 5451, 40537, 13, 71161, 668, 76720, 20048, 2657, 75410, 2030, 29769, 82, 939, 44810, 9420, 3591, 267, 288, 13785, 5573, 42759, 1440, 11, 28883, 2746, 1845, 67952, 2739, 70489, 6395, 47827, 624, 665, 22837, 198, 896, 2015, 273, 14668, 198, 665, 22837, 198, 20489, 50232, 3342, 1850, 130337, 38383, 19710, 4368, 11, 4443, 2746, 2657, 20796, 7219, 2694, 94678, 627, 6395, 7553, 16030, 13, 16887, 6616, 69499, 10928, 7180, 6616, 6136, 3404, 9740, 273, 11081, 285, 13, 28275, 27431, 2694, 9784, 15843, 27045, 932, 47143, 15462, 34734, 1952, 6079, 2694, 15733, 31500, 12352, 12, 2164, 10140, 7675, 304, 2746, 1007, 33235, 6712, 3393, 25141, 305, 43091, 665, 11, 26109, 10928, 2746, 40069, 6538, 29769, 82, 7219, 2694, 94678, 627, 81331, 709, 42316, 13, 63678, 293, 2717, 5573, 50435, 74219, 17790, 30632, 9421, 2030, 73741, 18372, 7070, 25, 34711, 668, 76720, 444, 22181, 2030, 29769, 82, 6538, 40537, 304, 56354, 261, 444, 61673, 304, 2694, 72705, 1845, 668, 39157, 8398, 13, 2055, 47827, 2746, 2657, 2746, 5573, 57916, 66671, 8793, 2739, 70489, 11, 4443, 15462, 18971, 12385, 9820, 19832, 13305, 416, 21491, 97463, 9299, 347, 50034, 6395, 42759, 1440, 13, 5573, 138936, 510, 785, 501, 4565, 11, 892, 686, 19131, 264, 13420, 3434, 3139, 2878, 5573, 11, 686, 1281, 432, 8661, 369, 498, 311, 4564, 697, 40537, 14289, 3139, 448, 697, 5573, 3942, 13, 1446, 646, 4332, 1128, 498, 3129, 14289, 311, 448, 697, 4780, 323, 3800, 879, 4332, 697, 11772, 13, 1597, 421, 498, 1366, 11, 498, 646, 3291, 1105, 3170, 432, 748, 22414, 311, 498, 624, 32617, 140385, 11, 14948, 18372, 7070, 25, 34711, 11, 2746, 95524, 2746, 40537, 1845, 7219, 71017, 136800, 4582, 17029, 17630, 11, 91912, 665, 54831, 9421, 2429, 5573, 28870, 4269, 268, 20048, 13, 58485, 86759, 52549, 2694, 9784, 15843, 27045, 932, 6616, 2655, 22837, 36108, 444, 1122, 82, 12385, 29769, 82, 7219, 2694, 94678, 627, 650, 22097, 500, 449, 1268, 465, 13, 2823, 285, 2493, 2010, 41210, 7180, 2746, 18069, 90957, 2185, 36108, 39100, 27298, 1531, 668, 76720, 4368, 61749, 19998, 624, 641, 11866, 665, 6538, 40537, 20048, 37699, 31287, 11007, 304, 3371, 5573, 28870, 48376, 3065, 22157, 12643, 320, 1763, 17443, 730, 1206, 7219, 6616, 44492, 17837, 524, 267, 3845, 17312, 74539, 17392, 38453, 4865, 701, 7240, 5573, 198, 9945, 5573, 19767, 2746, 22817, 20542, 5451, 40537, 8793, 3371, 1527, 21062, 75, 1854, 732, 75410, 7671, 485, 713, 2739, 5623, 268, 5267, 18175, 6250, 66671, 2030, 40069, 6538, 75410, 304, 3371, 773, 59380, 268, 3264, 3591, 14821, 7180, 18372, 7070, 25, 34711, 25531, 90796, 7272, 13, 468, 16676, 36852, 57926, 19875, 1527, 33052, 7997, 6395, 31008, 92979, 8896, 2694, 5573, 15843, 263, 74, 951, 72742, 52854, 3893, 42316, 13, 8408, 3216, 6565, 681, 1845, 2714, 5205, 665, 34749, 2694, 471, 343, 56381, 31395, 36614, 10928, 19767, 2746, 625, 1587, 627, 3653, 17739, 57680, 29553, 42370, 13, 16887, 7180, 2746, 20112, 32030, 883, 1487, 32708, 41210, 2818, 65, 665, 39100, 13, 36574 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10928, 2746, 75410, 484, 590, 7231, 11372, 17029, 47332, 1536, 896, 457, 6538, 3371, 9784, 12, 2120, 1587, 627, 268, 13, 2055, 4268, 7714, 6616, 444, 1122, 14835, 64354, 82, 2073, 2694, 16936, 43455, 6660, 7401, 14047, 18520, 10712, 220, 19, 18, 45506, 14047, 2694, 6250, 132149, 2185, 26252, 304, 3371, 66276, 13, 12741, 47227, 25, 18069, 8354, 11, 304, 2429, 6616, 444, 1122, 14410, 2493, 3818, 26109, 11, 66093, 7219, 72742, 52854, 28862, 624, 31, 19, 17, 15, 67, 16108, 1564, 17, 15, 23, 198, 144968, 52618, 320, 17, 15, 15, 19, 4926, 2300, 8, 1365, 43455, 6660, 7401, 198, 17360, 5999, 93328, 8793, 10489, 65, 84384, 331, 408, 11, 14948, 56381, 75410, 12, 23674, 13368, 25500, 10717, 15462, 26263, 5451, 3216, 6565, 681, 3647, 331, 76166, 13, 51310, 468, 6130, 1466, 2660, 87165, 11, 2746, 5573, 96042, 17790, 47708, 76166, 93985, 13, 8408, 40069, 6538, 40537, 304, 3371, 5573, 28870, 67594, 12412, 4368, 2714, 3667, 5016, 54913, 19349, 11, 4443, 6616, 472, 9416, 12, 2030, 5443, 13431, 81, 273, 11081, 285, 2694, 18372, 7070, 25, 34711, 6395, 7553, 16030, 624, 20489, 27298, 458, 11, 6616, 38383, 40537, 19998, 668, 48614, 304, 220, 17, 22, 84132, 74, 1960, 9421, 25655, 1100, 268, 11, 32175, 42477, 268, 5451, 3371, 7279, 624, 52491, 652, 34662, 482, 6538, 39997, 331, 28284, 198, 45, 329, 482, 8896, 71465, 1574, 87727, 70449, 367, 458, 2694, 472, 14419, 50462, 1673, 17029, 2030, 143037, 41488, 74882, 1377, 220, 17, 15, 16, 24, 2746, 3731, 67726, 624, 9286, 28855, 1013, 22837, 198, 665, 22837, 198, 665, 22837, 198, 896, 2015, 273, 14668, 198, 665, 22837, 198, 665, 22837, 198, 665, 22837, 198, 665, 22837, 198, 33374, 88581, 198, 90940, 29937, 5807, 19166, 198, 56999, 47, 57567, 510, 2304, 275, 69, 21140, 17312, 95830, 17058, 12277, 2885, 17458, 198, 56999, 47, 57567, 510, 3939, 23296, 10712, 1147, 45086, 261, 64075, 7276, 9913, 269, 220, 17, 15, 17, 18, 198, 56999, 47, 57567, 510, 1912, 258, 467, 7066, 81936, 261, 1279, 85, 16568, 321, 19767, 14102, 12, 16604, 12, 22237, 198, 56999, 47, 57567, 510, 24, 29873, 1690, 7180, 4368, 93094, 288, 20748, 288, 69084, 278, 198, 52491, 652, 220, 18, 15, 13, 15, 15, 15, 69653, 20048, 8793, 6216, 1440, 13, 10978, 450, 28853, 37699, 6395, 77012, 40126, 20756, 4198, 458, 510, 82043, 478, 546, 9421, 2694, 12062, 198, 30124, 265, 23549, 15462, 67489, 277, 17117, 31151, 268, 668, 20512, 7522, 198, 1912, 482, 468, 37513, 12, 67777, 14821, 8793, 141871, 13, 41663, 1358, 20005, 49753, 261, 12583, 5451, 353, 1868, 17029, 198, 82043, 478, 277, 198, 5618, 5618, 9, 38747, 1763, 686, 7256, 10638, 304, 2746, 6250, 59908, 2185, 71126, 32175, 42316, 268, 1697, 268, 143213, 11706, 268, 46954, 7180, 6616, 67489, 16030, 939, 2823, 21561, 2032, 2694, 1913, 3732, 21115, 11619, 2285, 31477, 4368, 13, 14268, 5999, 81331, 11, 14948, 10638, 44390, 18069, 14387, 42603, 55928, 29413, 19767, 9820, 1352, 1469, 468, 37513, 458, 3546, 31, 263, 3732, 21115, 11619, 2285, 9724, 615, 28421, 15719, 13, 60423, 3371, 47640, 615, 1704, 2694, 18069, 14387, 42603, 14821, 2746, 1032, 331, 13730, 68947, 50499, 2694, 6250, 59908, 2185, 11, 2746, 7219, 59785, 2694, 18069, 14387, 42603, 14840, 16034, 47640, 615, 1704, 53211, 5178, 5999, 11, 8793, 10207, 21558, 3342, 13, 1205, 41846, 48842, 13785, 3371, 547, 12311, 524, 5451, 70836, 46954, 35103, 8495, 304, 44160, 91741, 59522, 77131, 2185, 13, 151643, 44, 13752, 71417, 96990, 27684, 36956, 20005, 3841, 6308, 2305, 3760, 481, 467, 36964, 481, 19846, 261, 386, 39563, 2203, 198, 46596, 1194, 49890, 9034, 17630, 15462, 17588, 5186, 21673, 3841, 6308, 43506, 15843, 15252, 81671, 25, 68128, 13, 42616, 4368, 6032, 1609, 86957, 42242, 299, 69, 12080, 39620, 43506, 83, 1387, 34306, 16030, 2746, 393, 1489, 276, 5679, 56381, 60054, 268, 2694, 27684, 36956, 21673, 88049, 4480, 28855, 1365, 3680, 39525, 7671, 477, 437, 665, 457, 1853, 33370, 43860, 55248, 45996, 10712, 451, 65224, 13, 63678, 81146, 9911, 2714, 24855, 1127, 10712, 88049, 5315, 17312, 143089, 65, 14412, 16074, 2185, 384, 40399, 61007, 12643, 624, 59243, 25, 8459, 13, 2926, 13, 4350, 9299, 1404, 22700, 34301, 608, 142485, 13481, 77, 198, 75919, 5016, 59638, 11595, 2694, 9812, 15843, 316, 2728, 18926, 3841, 6308, 2305, 3760, 304, 2694, 88049, 502, 36956, 6772, 220, 18, 15, 15, 13, 15, 15, 15, 67015, 2305, 932, 6616, 55397, 13, 8408, 42242, 887, 471, 28855, 17837, 1960, 10712, 8189, 343, 13, 49890, 9034, 2694, 142485, 13481, 77, 17630, 37699, 13279, 6050, 8313, 9820, 730, 2855, 2554, 90080, 52028, 268, 81671, 11, 58319, 2746, 393, 1489, 276, 5679, 16034, 30872, 1960, 3841, 6308, 43506, 15843, 15252, 37896, 624, 57, 372, 15462, 5999, 2994, 34749, 53598, 7256, 51145, 135266, 25, 330, 53750, 6050, 4785, 337, 3667, 6538, 17443, 63948, 266, 59422, 137208, 8896, 136740, 98435, 79409, 5342, 2502, 49191, 7522, 497, 312, 2125, 295, 2694, 13481, 1194, 6050, 436, 69, 1087, 9034, 16642, 4350, 9299, 1404, 22700, 34301, 13906, 13, 71474, 38684, 74247, 426, 18302, 288, 31008, 2502, 49191, 7522, 883, 1528, 42242, 887, 471, 28855, 9421, 2694, 88049, 4878, 16053, 458, 13, 422, 39129, 1147, 85242, 21506, 61805, 336, 3303, 1645, 2356, 290, 268, 11, 2746, 19767, 82, 88718, 6772, 220, 19, 15, 78233, 939, 3841, 6308, 43506, 288, 9421, 76, 45699, 13, 330, 32617, 49081, 2986, 68312, 17029, 10510, 5840, 41502, 81591, 11, 2746, 6050, 436, 5923, 135266, 5999, 4184, 19488, 17837, 21140, 11, 4368, 3303, 1645, 2356, 290, 294, 424, 4370, 20321, 344, 497, 138936, 22700, 34301, 13, 141196, 95723, 68128, 27684, 36956, 20005, 3660, 1579, 490, 81, 15938, 8793, 12222, 18859, 11, 3275, 23162, 54988, 80617, 9911, 3371, 794, 43506, 71765, 13785, 34749, 2502, 14033, 465, 7219, 2030, 25658, 45258, 40662, 13, 71161, 3303, 1645, 2356, 5999, 4368, 90796, 7272, 451, 36956, 79956, 11, 3371, 2746, 6975, 63859, 65, 9151, 393, 1489, 276, 5679, 16034, 467, 610, 267, 372, 91304, 6433, 13, 1597, 485, 7107, 437, 665, 457, 939, 59820, 15738, 12643, 6538, 35669, 465, 3591, 4081, 89002, 11, 2746, 7219, 3371, 6050, 436, 2024, 49191, 7522, 97872, 13, 330, 6123, 6308, 43506, 14821, 6395, 90508, 13256, 497, 83034, 17029, 22700, 34301, 8185, 40188, 624, 29046, 371, 17966, 85239, 10489, 65, 84384, 331 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10938, 30022, 66362, 198, 1427, 14930, 17630, 22700, 34301, 2030, 19349, 45515, 4757, 4389, 78, 20603, 859, 75, 3756, 44675, 47143, 3893, 96695, 11, 13368, 17859, 6616, 49081, 2986, 68312, 17029, 25, 25714, 95710, 6050, 4785, 337, 3667, 595, 573, 417, 268, 9911, 38185, 72, 12, 2030, 4716, 2356, 20491, 392, 13, 28275, 4368, 48100, 80544, 47650, 2746, 393, 1489, 276, 5679, 22539, 300, 7522, 13, 20004, 2694, 794, 43506, 5676, 709, 732, 14804, 65845, 33758, 16540, 42469, 2746, 49890, 9034, 773, 6616, 425, 26976, 423, 127846, 4370, 2694, 393, 1489, 276, 5679, 26933, 2125, 268, 13, 19000, 78796, 285, 4116, 10489, 65, 84384, 331, 408, 25, 330, 33, 285, 6395, 220, 17, 15, 28837, 76, 3841, 6308, 43506, 68917, 5676, 6050, 4785, 337, 3667, 6538, 17443, 63948, 266, 59422, 137208, 7219, 497, 138936, 20603, 859, 75, 3756, 44675, 13, 71474, 51309, 54371, 25, 1527, 17058, 36077, 56946, 21176, 268, 26647, 23455, 53598, 17454, 502, 36956, 6772, 12222, 220, 16, 19, 28837, 76, 3841, 6308, 43506, 462, 63948, 266, 59422, 6395, 44602, 268, 624, 2250, 82, 57926, 408, 7180, 2746, 88049, 265, 258, 42603, 5999, 85725, 11, 14948, 6616, 6050, 436, 2746, 61430, 7256, 386, 6309, 458, 3841, 32030, 50499, 64208, 41203, 13, 71161, 8185, 377, 21649, 6050, 436, 1197, 69, 93908, 99025, 467, 14136, 2185, 2030, 6395, 308, 395, 50926, 1531, 95524, 8793, 19349, 13, 8408, 78796, 15398, 54395, 1528, 16676, 732, 6252, 24585, 304, 1260, 723, 220, 19, 14, 17, 15, 15, 22, 2694, 9919, 1199, 82850, 330, 1427, 2728, 778, 331, 32997, 497, 2746, 21982, 9486, 2356, 7180, 23334, 86, 3818, 2030, 23833, 1723, 331, 32997, 11, 11426, 86, 61811, 2030, 6250, 14383, 1387, 388, 331, 32997, 939, 11426, 288, 29181, 81, 383, 258, 60761, 69, 35649, 83380, 709, 42316, 14821, 624, 44, 54988, 6050, 436, 7180, 68517, 9460, 674, 1466, 12495, 198, 641, 13481, 77, 22589, 2429, 77, 92975, 4368, 1527, 21062, 75, 1854, 135522, 17312, 46307, 2717, 674, 29560, 220, 20, 21, 17, 5451, 6050, 8313, 87541, 2391, 406, 12643, 13, 330, 641, 30781, 17739, 5999, 1531, 50837, 11, 53797, 21207, 7256, 6050, 436, 76, 14456, 6395, 79551, 497, 138936, 22700, 34301, 13, 330, 32617, 3595, 8345, 529, 3371, 25714, 79810, 1189, 70038, 66693, 968, 6772, 12583, 2746, 13374, 268, 17312, 422, 610, 65, 14412, 16074, 2185, 80129, 3818, 30179, 481, 21506, 61805, 336, 9421, 2429, 730, 1692, 35524, 11, 883, 41762, 811, 5451, 50435, 17588, 5186, 21673, 88049, 65, 44953, 1387, 4160, 6616, 93887, 730, 4659, 64, 304, 3371, 758, 12495, 267, 30875, 1960, 98038, 932, 13, 151643, 18370, 24, 1558, 1910, 15711, 2860, 369, 2464, 8438, 29758, 8668, 58301, 2285, 15440, 279, 13403, 323, 6792, 54698, 315, 12583, 49536, 7219, 2714, 20491, 359, 20005, 78796, 15398, 12743, 78, 26824, 624, 96664, 7865, 20048, 2860, 11846, 11552, 1690, 91855, 26073, 2860, 58237, 28883, 61061, 2185, 57184, 54831, 5451, 17443, 96428, 6538, 4392, 624, 65332, 88660, 91342, 10638, 2746, 53363, 1579, 1055, 3122, 27391, 11, 2030, 2746, 51528, 13279, 29873, 1690, 2030, 84176, 71467, 13518, 11, 2746, 468, 1387, 42678, 93232, 39092, 16030, 11, 1758, 1110, 460, 11670, 12120, 10506, 6830, 2687, 20201, 4686, 2371, 309, 9695, 18570, 2479, 15995, 624, 32617, 20404, 42189, 3874, 468, 16676, 33278, 220, 16, 8408, 4620, 13487, 31380, 27073, 13518, 3845, 1640, 73794, 62459, 11, 95243, 326, 932, 267, 3845, 59765, 13, 33312, 3371, 422, 32997, 19875, 60021, 54594, 6433, 19868, 331, 16676, 2860, 6371, 11846, 2860, 24696, 11846, 1531, 10928, 60277, 3910, 315, 18482, 52961, 4139, 26073, 2860, 11846, 902, 16539, 12037, 13912, 6467, 315, 15122, 26073, 6673, 624, 32, 652, 6395, 1527, 42477, 5999, 1531, 50837, 11, 732, 4724, 316, 49477, 6616, 19104, 90039, 27431, 25494, 36077, 26692, 9111, 36614, 80129, 3818, 13, 142839, 27298, 1531, 25531, 26252, 28198, 844, 92918, 11, 2746, 883, 7180, 700, 2606, 11, 17011, 11, 3162, 21765, 2090, 11, 28822, 2860, 11846, 11848, 7126, 2860, 58237, 28883, 61061, 2185, 11, 6002, 2473, 11, 1809, 19492, 52747, 13093, 287, 11595, 4443, 61430, 7256, 85466, 624, 83953, 57519, 68557, 331, 932, 85725, 75315, 9820, 13481, 7063, 28865, 67317, 11, 2746, 26073, 54831, 7219, 31008, 47404, 1059, 29159, 88551, 624, 32, 652, 11, 289, 9510, 84, 22589, 10638, 51239, 9421, 42316, 11, 22075, 10638, 732, 19104, 48803, 13630, 19612, 13, 2363, 35141, 9089, 8793, 34368, 19767, 6616, 16482, 5676, 2391, 66124, 2714, 64177, 1960, 42678, 258, 4412, 5451, 709, 42316, 11, 2746, 883, 77919, 15719, 11, 19104, 8793, 624, 65835, 47143, 66386, 21519, 406, 68339, 83, 50041, 4182, 3101, 22157, 4368, 4841, 74, 19786, 724, 57469, 6538, 13279, 5893, 315, 18482, 2860, 33043, 624, 3430, 318, 18482, 79504, 64857, 43860, 2746, 4622, 268, 79504, 467, 7066, 142432, 389, 279, 2155, 26376, 315, 697, 5754, 311, 1855, 697, 1828, 4345, 39910, 6514, 0, 624, 57, 87205, 12583, 10928, 2746, 74629, 36433, 80260, 6772, 2030, 1531, 5999, 2746, 22318, 29937, 4377, 2739, 30166, 5178, 11, 40870, 2694, 19751, 2010, 6595, 7997, 8793, 7219, 1032, 4865, 372, 6395, 66124, 624, 18175, 84701, 1527, 8221, 1404, 97035, 21673, 43860, 57465, 39337, 1079, 6673, 10712, 732, 8031, 26073, 1059, 29159, 11, 4443, 1863, 12540, 3454, 1909, 2528, 458, 13536, 12032, 2030, 16034, 5893, 315, 18482, 3574, 8577, 20112, 1387, 267, 15687, 8793, 624, 4416, 5214, 1268, 267, 15687, 1079, 1527, 42477, 8793, 6395, 36077, 2030, 732, 42678, 6130, 6538, 220, 16, 15, 7577, 285, 2493, 8398, 11, 22075, 6616, 94359, 6222, 4001, 33278, 90935, 22080, 20175, 13, 8408, 54936, 632, 90817, 5999, 67658, 5893, 315, 18482, 19751, 8398, 624, 26493, 64069, 355, 1197, 2685, 33370, 42678, 93232, 139906, 9421, 46728, 2185, 17246, 21519, 343, 12583, 13, 33328, 60297, 304, 2694, 5893, 315, 18482, 13481, 7063, 28865, 289, 23118, 4443, 9820, 39771, 7219, 709, 20512, 27393, 665, 6079, 939, 730, 447, 53113, 624, 91992, 9089, 5451, 31380, 27073, 13518, 9421, 2712, 406, 11, 2694, 14821, 10928, 6538, 26073, 58237, 28883, 1527, 87697, 481, 12412, 27298, 1531, 2746, 13, 3845, 5893, 315, 18482, 220, 21, 26073, 12385, 5451, 468, 13920, 70, 783, 56381, 1032, 4865, 2391, 1174, 5436, 1726, 7522, 11, 22075, 8495, 4368, 94718, 2338, 739, 28789, 4620, 21908, 320, 83956, 44977, 8495, 58237, 2860, 26073, 7219, 44160, 16023, 4292, 785, 3766, 374, 6509, 311 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 387, 11416, 11, 714, 432, 2860, 11846, 1909, 7126, 91855, 28883, 31247, 7253, 2185, 387, 10342, 429, 279, 26029, 374, 27730, 4152, 311, 279, 18048, 315, 5107, 2606, 624, 81761, 17443, 1527, 40231, 529, 64260, 1352, 23602, 13820, 595, 5186, 89, 6772, 4368, 45515, 4757, 25, 25861, 9544, 4620, 21908, 12, 18510, 40951, 50232, 1440, 11, 6395, 35103, 13, 16887, 37699, 91855, 10638, 4937, 53165, 12353, 1850, 2860, 13481, 1854, 11786, 42759, 6739, 42678, 93232, 54395, 2493, 3818, 12643, 624, 54370, 17790, 293, 433, 17392, 74629, 36433, 11, 17790, 18520, 42678, 6130, 3732, 3591, 11, 18520, 84247, 267, 28421, 7828, 645, 65, 1782, 275, 22539, 98103, 42668, 11, 5999, 5893, 315, 18482, 304, 31008, 11, 6395, 5436, 44977, 11, 76720, 2030, 650, 9506, 17029, 11, 28883, 1527, 87697, 12385, 8577, 624, 17360, 5999, 650, 37285, 2956, 24134, 6772, 39353, 517, 2030, 5451, 2048, 7522, 19612, 268, 13368, 12385, 48009, 57148, 11, 2746, 12304, 28086, 304, 3371, 31380, 42241, 268, 13, 151643, 18175, 25777, 268, 3377, 268, 6538, 8280, 10530, 2956, 9779, 9421, 14050, 6070, 32454, 50368, 408, 336, 10230, 21506, 66423, 28324, 2746, 32050, 7997, 2375, 365, 2956, 24134, 88185, 6538, 5665, 60905, 13, 37832, 15719, 304, 5665, 60905, 24852, 95710, 3377, 268, 17630, 13, 43997, 8495, 4368, 6250, 1859, 66685, 2694, 468, 13573, 610, 22385, 2030, 75112, 2142, 355, 11, 12385, 4368, 21491, 65, 10573, 261, 6538, 6982, 2030, 7906, 7997, 2375, 365, 2956, 24134, 21673, 10230, 3591, 12583, 11, 5999, 1531, 9820, 61430, 7256, 74857, 7180, 8495, 624, 31541, 10530, 2956, 9779, 5999, 9820, 76480, 5665, 60905, 2375, 15141, 38132, 11, 2746, 6616, 20004, 65423, 939, 18482, 18618, 2714, 383, 7964, 15719, 13, 51310, 5282, 632, 4818, 6053, 6538, 11766, 901, 2956, 26824, 2030, 6982, 26109, 80129, 3818, 11, 4443, 2746, 84701, 431, 2305, 27899, 6395, 1494, 268, 13, 2362, 1174, 17790, 5999, 1531, 8793, 6616, 11, 572, 8495, 66124, 30, 6569, 258, 22079, 0, 34903, 3119, 268, 2030, 1059, 58158, 7180, 8495, 2746, 7491, 7997, 45061, 811, 307, 13820, 5665, 60905, 2375, 15141, 38132, 9421, 37832, 624, 50855, 2714, 51176, 12495, 4368, 95602, 6975, 4865, 2257, 261, 4716, 84467, 2030, 25531, 17630, 8495, 15462, 49371, 83820, 11, 572, 304, 2694, 136112, 11, 732, 12838, 64474, 12385, 732, 2988, 324, 1494, 17029, 13, 151643, 43, 2391, 5178, 11, 7060, 11, 732, 36356, 15795, 489, 4110, 343, 2030, 135659, 11, 75018, 11, 58442, 42137, 72170, 11, 4443, 59228, 62642, 8793, 6395, 85104, 88287, 11, 85104, 32863, 9089, 11, 7060, 11, 21982, 28837, 4443, 3371, 6250, 70979, 36108, 17837, 645, 65, 1960, 42786, 1147, 932, 62713, 11, 458, 2694, 79280, 321, 2305, 6237, 1859, 1268, 7180, 15462, 77779, 77414, 56751, 2501, 11, 566, 1387, 3818, 11, 7060, 11, 650, 6072, 19358, 6772, 6538, 39449, 11, 30005, 331, 3818, 2030, 3371, 1260, 2015, 268, 26905, 83, 11, 4443, 38897, 21491, 65, 5342, 8793, 6395, 81314, 2391, 7964, 5267, 22171, 30872, 665, 11, 66796, 74, 59391, 301, 665, 20004, 3612, 1942, 17058, 458, 6984, 6433, 44336, 13977, 450, 2030, 2746, 9421, 3612, 1942, 3492, 54048, 467, 1122, 2375, 8229, 36108, 444, 1122, 288, 2030, 75410, 267, 2391, 14553, 12385, 2746, 5699, 76, 1942, 1469, 9919, 713, 46621, 54129, 32708, 15696, 40950, 2125, 96673, 1365, 9911, 12583, 1531, 11, 2746, 6975, 26956, 19981, 2030, 304, 6975, 3371, 12709, 267, 13803, 17739, 468, 80587, 1942, 57465, 39337, 2694, 141774, 4972, 20542, 2030, 2157, 9303, 20542, 10712, 10928, 939, 1967, 65, 408, 6433, 11, 2869, 17739, 11, 5016, 2956, 12495, 305, 648, 17391, 28421, 13, 151643, 3225, 63687, 609, 7487, 481, 7010, 11, 595, 1222, 344, 11, 4368, 35363, 471, 343, 41663, 324, 465, 730, 59391, 1536, 258, 63687, 50559, 301, 31100, 437, 3818, 15462, 33228, 6976, 50, 220, 19, 15, 15, 304, 4368, 282, 1466, 9300, 288, 80331, 58864, 198, 2082, 36601, 268, 198, 13253, 12, 14373, 198, 13253, 2030, 6250, 81112, 198, 45339, 5840, 441, 674, 3664, 14033, 198, 59932, 1087, 403, 198, 18284, 19278, 198, 54, 61811, 198, 14367, 325, 1763, 55632, 2185, 141870, 21673, 198, 2082, 36601, 268, 198, 20705, 89, 6772, 686, 42789, 0, 39149, 450, 28853, 304, 409, 68413, 730, 9935, 458, 198, 40, 4079, 7355, 59522, 606, 198, 40, 4079, 9970, 31151, 198, 12187, 31151, 37801, 38809, 5267, 45696, 46745, 59522, 77131, 2185, 198, 12187, 31151, 13002, 22181, 1923, 54377, 198, 12187, 31151, 49503, 746, 5679, 198, 40, 71, 265, 468, 37513, 12, 67777, 198, 20706, 68, 198, 2082, 36601, 268, 608, 2823, 48734, 1960, 198, 2082, 36601, 268, 198, 20705, 89, 6772, 686, 42789, 0, 386, 57588, 8495, 9089, 458, 198, 40, 4079, 7355, 59522, 606, 198, 40, 4079, 9970, 31151, 198, 70372, 697, 3552, 30, 2126, 1492, 198, 45696, 46745, 59522, 77131, 2185, 198, 12187, 31151, 13002, 22181, 1923, 54377, 198, 12187, 31151, 49503, 746, 5679, 198, 40, 71, 265, 468, 37513, 12, 67777, 198, 53750, 9970, 31151, 14821, 43860, 817, 8299, 1147, 50159, 331, 70980, 624, 13253, 12, 14373, 198, 13253, 2030, 6250, 81112, 198, 45339, 5840, 441, 674, 3664, 14033, 198, 59932, 1087, 403, 198, 18284, 19278, 198, 54, 61811, 198, 14367, 325, 1763, 55632, 2185, 141870, 21673, 198, 13253, 5002, 2285, 198, 3479, 51, 2210, 609, 7487, 481, 7010, 11, 595, 1222, 344, 11, 4368, 35363, 471, 343, 41663, 324, 465, 730, 59391, 1536, 258, 63687, 50559, 301, 31100, 437, 3818, 9338, 51943, 198, 51, 2210, 609, 7487, 1365, 7010, 11, 595, 1222, 344, 11, 4368, 35363, 471, 343, 41663, 324, 465, 730, 59391, 1536, 258, 63687, 50559, 301, 31100, 437, 3818, 15462, 33228, 6976, 50, 220, 19, 15, 15, 304, 4368, 282, 1466, 9300, 288, 80331, 58864, 198, 1, 1001, 9176, 6395, 1, 63687, 609, 7487, 1365, 7010, 11, 595, 1222, 344, 11, 4368, 35363, 471, 343, 41663, 324, 465, 730, 59391, 1536, 258, 63687, 50559, 301, 31100, 437, 3818, 15462, 33228, 6976, 50, 220, 19, 15, 15, 304, 4368, 282, 1466, 9300, 288, 80331, 58864, 198, 50855, 75182, 67058, 25, 48842, 5398, 13785, 61197, 609, 49096, 29937, 80072, 268, 16034, 61150, 63687, 609, 7487, 1365, 7010, 11, 595, 1222, 344, 11, 4368, 35363, 471, 343, 41663, 324, 465, 730, 59391, 1536, 258, 63687, 50559, 301, 31100, 437, 3818, 15462, 33228, 6976, 50, 220, 19, 15 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 15, 304, 4368, 282, 1466, 9300, 288, 80331, 58864, 198, 1359, 2340, 9984, 17, 19, 905, 4111, 325, 64832, 5769, 198, 17, 15, 13, 42256, 220, 17, 15, 17, 17, 198, 16, 17, 24, 198, 36, 8052, 5639, 320, 2412, 8, 3303, 220, 24, 13, 42256, 220, 17, 15, 17, 17, 56354, 408, 7714, 2746, 13906, 60297, 19767, 34749, 14835, 34, 13140, 2382, 2073, 5313, 2030, 6489, 81331, 22539, 539, 1952, 730, 59391, 1536, 258, 63687, 50559, 301, 304, 41663, 5639, 24440, 834, 3045, 288, 89423, 25, 14835, 51, 2210, 609, 7487, 2073, 624, 18175, 14835, 2304, 258, 79810, 2073, 5999, 4368, 220, 18, 21, 22, 11405, 357, 12856, 6976, 50, 220, 19, 15, 15, 1365, 2746, 3275, 529, 5186, 7256, 356, 13346, 963, 39620, 96159, 603, 6538, 33228, 62221, 13, 19000, 80331, 58864, 7219, 2429, 19739, 27929, 357, 309, 2501, 9421, 2694, 220, 17, 15, 17, 16, 1197, 2685, 33370, 56740, 14835, 12346, 27634, 76184, 19000, 595, 2718, 83, 14047, 58009, 3848, 331, 1854, 11, 22589, 19104, 6616, 73580, 404, 77, 2694, 730, 59391, 1536, 258, 15269, 58158, 11, 3275, 23162, 54988, 11, 572, 9089, 15269, 258, 668, 39157, 3818, 13, 14835, 17360, 1494, 17029, 38805, 36077, 304, 88787, 58009, 69, 11, 304, 88787, 55397, 13, 23980, 288, 595, 86366, 43105, 96434, 10638, 15269, 58158, 50686, 138936, 63687, 50559, 301, 13, 8408, 220, 18, 24, 12009, 36956, 7256, 2714, 674, 529, 41488, 57519, 45506, 5451, 52716, 14269, 268, 11, 595, 2944, 85, 32289, 11, 2420, 37821, 6433, 44492, 932, 2030, 13906, 60297, 5451, 52716, 7906, 7997, 2375, 365, 2956, 24134, 21673, 4818, 23396, 21211, 2746, 80331, 14357, 1952, 13, 38472, 83382, 2382, 62459, 4443, 2746, 44966, 1365, 34038, 11, 12562, 74, 2863, 11, 31398, 92159, 11, 7148, 11, 1863, 5186, 713, 11, 89266, 11, 50462, 11, 55184, 11, 5347, 436, 624, 18175, 13804, 68, 7180, 6616, 77742, 14835, 51, 2210, 609, 7487, 2073, 1197, 2685, 51292, 3841, 93289, 46668, 97748, 304, 41663, 5639, 13, 48902, 4697, 11, 35346, 56539, 17246, 50753, 261, 2694, 7487, 66805, 85141, 31477, 609, 3539, 13, 70087, 11, 2030, 63687, 50559, 301, 8151, 45699, 95038, 11, 8641, 26252, 14835, 295, 16123, 356, 2624, 642, 2073, 53383, 37896, 6395, 56945, 13, 51310, 48745, 1038, 424, 732, 8979, 31551, 33661, 7180, 2746, 730, 59391, 1536, 258, 19104, 8793, 304, 67232, 13, 60082, 8688, 896, 73276, 13, 8495, 96434, 10246, 652, 4368, 8979, 31915, 35649, 11, 5451, 2429, 9911, 6395, 52716, 20004, 41137, 11595, 282, 21519, 3342, 13, 14835, 11578, 11, 6616, 8896, 17790, 1962, 10453, 69876, 13, 1581, 482, 80331, 5999, 7010, 11, 595, 1222, 344, 2030, 4368, 35363, 471, 343, 13, 19000, 6368, 267, 6395, 6975, 34047, 11, 4116, 48902, 4697, 76720, 387, 78400, 529, 624, 54370, 14835, 51, 2210, 609, 7487, 2073, 14821, 80331, 37699, 7219, 38383, 1205, 1064, 36408, 15113, 2257, 13, 33312, 2429, 11443, 34311, 63687, 5, 5974, 15719, 7219, 5573, 2030, 13991, 2739, 8400, 5178, 12643, 11, 23738, 6616, 282, 1466, 85527, 80331, 58864, 81625, 22010, 2694, 730, 59391, 1536, 258, 67058, 21506, 28129, 82, 5999, 624, 18175, 33312, 25402, 48874, 45061, 37347, 2694, 7487, 66805, 85141, 31477, 609, 3539, 13, 70087, 2148, 1020, 220, 16, 22, 20, 23, 5451, 2694, 2825, 34271, 2185, 17058, 5016, 76, 1122, 68, 732, 91245, 1626, 15141, 74, 17739, 11840, 811, 30102, 13, 54412, 10712, 220, 17, 20, 15, 48015, 87791, 93096, 6616, 52159, 3591, 29159, 37060, 5451, 220, 20, 15, 15, 78722, 19985, 932, 458, 220, 16, 20, 15577, 371, 268, 304, 663, 5186, 27918, 11, 37337, 11759, 11, 37337, 11759, 57916, 39416, 2030, 55591, 6395, 17443, 2694, 74539, 1960, 33228, 62221, 12, 60134, 304, 32618, 301, 450, 23747, 1933, 624, 14367, 325, 39720, 9913, 510, 51, 2210, 50559, 301, 198, 39, 33501, 12009, 3103, 6222, 2172, 23455, 220, 23, 198, 24, 24, 15, 23, 21, 41663, 5639, 198, 36, 37513, 25, 40746, 31, 83, 2210, 5504, 90240, 905, 198, 44, 27929, 25, 220, 15, 16, 20, 16, 220, 16, 24, 220, 16, 21, 220, 16, 23, 220, 15, 15, 198, 2136, 734, 2210, 5504, 90240, 905, 198, 5974, 66805, 85141, 31477, 609, 3539, 13, 70087, 198, 78662, 48655, 269, 802, 1674, 8501, 220, 17, 198, 24, 24, 19, 17, 23, 1205, 87356, 46168, 709, 30102, 198, 36, 37513, 25, 8493, 31, 2810, 1331, 331, 54426, 2285, 198, 2136, 6678, 1331, 331, 54426, 2285, 198, 18395, 12, 2762, 6538, 25, 7487, 66805, 85141, 31477, 609, 3539, 13, 70087, 11, 13785, 23692, 3818, 19767, 3669, 22318, 41658, 198, 33, 695, 265, 38486, 25, 35346, 56539, 17246, 50753, 261, 48902, 4697, 21982, 33228, 62221, 8979, 31551, 7487, 66805, 5999, 387, 78400, 529, 6538, 63687, 50559, 2010, 282, 1466, 9300, 336, 80331, 58864, 608, 72998, 261, 2918, 13785, 297, 2576, 2030, 8438, 556, 21797, 37953, 2285, 9612, 81, 14, 16, 21, 18, 17, 15, 17, 608, 8408, 6250, 66671, 46668, 44492, 288, 5999, 7180, 2518, 67726, 6712, 83126, 60273, 21506, 12721, 83, 2185, 342, 45124, 13, 4081, 93339, 261, 18372, 89, 28122, 2721, 287, 11595, 15669, 277, 97369, 13, 6250, 132149, 2185, 67382, 5451, 44492, 265, 38486, 11278, 258, 73869, 624, 30124, 13363, 86, 16568, 198, 13253, 198, 42, 359, 267, 198, 6639, 22837, 8495, 3371, 98552, 25, 63687, 609, 7487, 1365, 7010, 11, 595, 1222, 344, 11, 4368, 35363, 471, 343, 41663, 324, 465, 730, 59391, 1536, 258, 63687, 50559, 301, 31100, 437, 3818, 15462, 33228, 6976, 50, 220, 19, 15, 15, 304, 4368, 282, 1466, 9300, 288, 80331, 58864, 198, 20489, 198, 24862, 198, 76586, 198, 92421, 198, 22070, 258, 198, 6033, 67, 2132, 198, 4781, 198, 8994, 198, 95162, 198, 72244, 198, 58083, 198, 52780, 198, 35, 20218, 198, 53, 269, 1923, 7272, 50201, 33, 1241, 288, 372, 86, 3818, 1065, 1571, 258, 47406, 440, 312, 36947, 83, 56381, 730, 4659, 300, 331, 32997, 75, 19358, 68, 732, 6250, 81112, 25, 5363, 74, 2185, 939, 12100, 562, 2944, 79956, 4942, 8669, 27684, 36956, 19285, 468, 63274, 3004, 1775, 2185, 2030, 22996, 16722, 54102, 34906, 3664, 14033, 198, 45, 31573, 3667, 50201, 98199, 10383, 25, 2362, 83126, 333, 2010, 13464, 6616, 422, 610, 5699, 11567, 26824, 35780, 15462, 8408, 24585, 16722, 71935, 69, 529, 343, 97035, 37633, 11, 5214, 17029 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 24209, 28064, 2185, 778, 331, 32997, 198, 3533, 9984, 17, 19, 905, 4111, 325, 64832, 5769, 2428, 1110, 2136, 10367, 9984, 17, 19, 905, 198, 86975, 24134, 20005, 663, 16335, 198, 51943, 198, 33026, 43774, 732, 7377, 268, 431, 7066, 2185, 43577, 198, 51943, 198, 50, 1055, 371, 14906, 76, 730, 4659, 300, 331, 32997, 52549, 6616, 422, 457, 15895, 2694, 9740, 811, 8801, 65, 9151, 74001, 3591, 83630, 6772, 28275, 39416, 7256, 12100, 562, 2944, 79956, 68, 12583, 76720, 16111, 2787, 15232, 730, 4659, 300, 331, 32997, 198, 51943, 198, 36, 7671, 2970, 12, 94234, 304, 44979, 1365, 773, 9089, 932, 8495, 35783, 20605, 10507, 668, 198, 12, 2410, 10218, 478, 18221, 13253, 26671, 1704, 304, 479, 41145, 67931, 7522, 5999, 6250, 2172, 84, 724, 82, 1777, 25, 6250, 10661, 75, 11595, 17821, 2030, 6624, 50232, 1440, 198, 13253, 26671, 1704, 304, 98675, 25, 1230, 22097, 500, 449, 17029, 2030, 595, 22157, 24716, 1241, 6772, 198, 13253, 26671, 1704, 304, 98675, 25, 1230, 22097, 500, 449, 17029, 2030, 595, 22157, 24716, 1241, 6772, 198, 13253, 26671, 1704, 304, 29505, 23162, 25, 17275, 1923, 15515, 275, 423, 14383, 1387, 1365, 834, 1137, 8979, 198, 13253, 26671, 1704, 304, 328, 776, 377, 71, 2956, 889, 25, 92887, 16597, 1704, 4487, 268, 22385, 5999, 65733, 267, 288, 77356, 198, 1806, 82, 485, 31313, 325, 14668, 198, 14367, 325, 64832, 5769, 2340, 14373, 17, 19, 905, 1365, 86784, 4111, 325, 37953, 1913, 3533, 14373, 905, 1365, 4111, 325, 37953, 2340, 12, 6954, 89, 2285, 1365, 19000, 86784, 4111, 325, 37953, 425, 13880, 57, 35, 905, 1365, 9374, 649, 14373, 2285, 1365, 501, 7399, 18, 21, 20, 2285, 1365, 548, 17616, 72, 2285, 1365, 4111, 6998, 783, 11595, 45251, 2285, 1365, 4111, 325, 64832, 5769, 12, 14373, 2285, 1365, 4111, 325, 37953, 12, 14373, 2285, 1365, 1532, 2280, 6712, 2285, 1365, 93822, 2853, 268, 905, 1365, 8979, 627, 301, 905, 1365, 8979, 10661, 301, 29431, 2285, 1365, 8979, 31551, 649, 905, 1365, 5006, 27929, 2630, 61811, 905, 1365, 3078, 363, 3065, 9984, 2285, 1365, 289, 33758, 79956, 27073, 3372, 905, 1365, 3233, 2508, 2285, 1365, 3078, 363, 3065, 13788, 2285, 1365, 1803, 2508, 2285, 1365, 1803, 649, 2285, 1365, 38639, 21797, 905, 1365, 1803, 2911, 9984, 905, 1365, 384, 45123, 263, 27744, 17, 19, 905, 1365, 976, 9887, 9984, 2285, 1365, 1803, 649, 9984, 905, 1365, 85580, 89, 70, 1370, 6535, 905, 1365, 85580, 89, 14933, 905, 1365, 85580, 11687, 3077, 905, 1365, 85580, 25329, 695, 905, 1365, 85580, 30781, 61811, 2285, 1365, 548, 2717, 263, 27744, 905, 1365, 3078, 263, 365, 11553, 403, 905, 1365, 85580, 89, 29413, 2185, 905, 1365, 1803, 649, 9984, 2285, 1365, 24989, 2717, 263, 27744, 2285, 1365, 3078, 46288, 9984, 2285, 1365, 7060, 83592, 3902, 31551, 2285, 1365, 5006, 354, 344, 21115, 295, 2285, 1365, 3233, 26671, 1704, 12, 5054, 28244, 273, 905, 1365, 1803, 57988, 2285, 1365, 289, 33758, 79956, 27073, 9887, 2285, 1365, 5006, 27929, 30117, 27997, 905, 1365, 3233, 66496, 89, 905, 1365, 5006, 27929, 28904, 11619, 905, 1365, 24989, 69, 15113, 2986, 4733, 17, 19, 905, 1365, 19739, 838, 83, 9984, 2285, 1365, 21506, 37060, 45251, 2285, 1365, 548, 2268, 21797, 37953, 2285, 1365, 548, 2268, 21797, 64832, 5769, 2285, 481, 3078, 46288, 9984, 905, 481, 548, 2717, 263, 27744, 2285, 481, 4111, 325, 37953, 7180, 37625, 268, 12, 14373, 151643, 16, 17, 13, 15, 18, 13, 17, 15, 17, 16, 220, 16, 17, 13, 15, 18, 13, 17, 15, 17, 16, 386, 2717, 4110, 198, 18175, 47669, 758, 35505, 624, 35807, 13, 6909, 26, 28223, 645, 26, 43120, 26, 14686, 724, 20283, 273, 26, 5586, 26, 42161, 26, 14028, 2587, 7421, 956, 51078, 304, 27267, 77717, 458, 65423, 13, 8408, 5016, 20175, 20805, 261, 12583, 49503, 25, 5451, 8766, 77, 46745, 6566, 268, 19868, 331, 16676, 2030, 5699, 27105, 7997, 10157, 579, 19875, 3680, 6817, 84, 932, 13, 29434, 61882, 2030, 38897, 55857, 36956, 1960, 5436, 44977, 24440, 135972, 46668, 8394, 304, 15383, 13, 58616, 56945, 2746, 98376, 15462, 4182, 10386, 42477, 1191, 268, 2030, 1230, 5679, 3199, 74772, 541, 8099, 350, 1134, 37633, 56946, 2956, 6498, 932, 13, 18528, 16448, 25434, 34075, 576, 4050, 422, 2810, 7421, 34075, 25, 576, 4050, 481, 7421, 901, 2305, 652, 6222, 60361, 25, 21766, 83758, 336, 136800, 7219, 7421, 20805, 68, 198, 50855, 5999, 2746, 96042, 93094, 5342, 29253, 37114, 144835, 3959, 3089, 22837, 939, 38093, 13434, 13, 53487, 42509, 46070, 16976, 28206, 60074, 780, 26956, 61811, 295, 835, 6772, 59228, 72705, 37502, 1079, 75680, 65, 1194, 23198, 11, 7180, 3371, 2714, 19104, 83281, 9421, 97761, 1659, 444, 23678, 5679, 12222, 9820, 328, 56188, 28831, 8896, 11, 4443, 52434, 7421, 9421, 2429, 44602, 268, 6395, 305, 17205, 624, 1912, 89, 1377, 7219, 422, 10586, 13, 73208, 7219, 38093, 13434, 732, 3680, 408, 14906, 76, 14410, 54081, 13, 76604, 5451, 72440, 647, 962, 26956, 61811, 7714, 2714, 6538, 16951, 301, 220, 17, 2293, 19, 3371, 19801, 36665, 482, 23198, 624, 50, 740, 65, 1194, 23198, 13, 8408, 12042, 39470, 17058, 16951, 301, 88280, 529, 77556, 4368, 14761, 9433, 37419, 13, 25636, 6130, 263, 23198, 13, 54068, 42668, 47143, 40462, 69713, 4841, 1103, 10860, 2429, 73850, 7964, 23388, 37137, 2165, 778, 20283, 273, 434, 37114, 144254, 81, 647, 79985, 21785, 5744, 3757, 60074, 780, 25006, 790, 1826, 18849, 624, 10611, 417, 355, 9164, 5309, 16976, 4615, 6929, 374, 35378, 11732, 6252, 436, 220, 18, 315, 2400, 624, 5830, 1389, 28421, 1079, 18977, 37114, 54509, 81, 1983, 44979, 13, 56231, 304, 2806, 143155, 268, 14821, 2746, 76604, 59908, 2694, 3386, 268, 28551, 7231, 1371, 5451, 2429, 730, 76966, 309, 87533, 3893, 96695, 624, 1514, 275, 2694, 54936, 14668, 16951, 301, 27298, 1531, 41983, 41796, 11, 2746, 2746, 50098, 732, 451, 27784, 49773, 1579, 300, 9057, 44977, 13, 6122, 7421, 50583, 624, 25434, 956, 51078, 25, 5540, 388, 27941, 2111, 2970, 12, 5830, 6817, 8801, 7421, 34075, 25, 5540, 388, 18660, 5999, 4368, 40685, 12462, 11, 304, 2429, 28206, 60074, 780, 53383, 5451, 72440, 33328, 277, 72964, 22388, 87502, 11, 2694, 21331, 35725, 529, 258, 13225, 4260, 9305, 2746, 13279, 28206, 10712, 7996, 86, 8535, 69, 15113, 84409, 796, 19985, 295, 2030, 17443, 53936 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 794, 8666, 15843, 15232, 309, 42524, 11, 7801, 9395, 273, 11, 3371, 3089, 21211, 2694, 48158, 7421, 20805, 261, 9443, 5178, 624, 17360, 5999, 8793, 81331, 11, 13368, 36077, 51239, 4368, 13017, 44914, 462, 19832, 59801, 41203, 624, 25434, 34075, 576, 4050, 422, 2810, 91912, 2576, 423, 50591, 25151, 198, 44667, 422, 10586, 14028, 304, 348, 32289, 23334, 42477, 77919, 6395, 20048, 11, 8486, 1859, 70667, 16111, 30094, 31852, 304, 1581, 68413, 16482, 6395, 22318, 1524, 268, 13, 57927, 939, 65314, 481, 12741, 27684, 36956, 6772, 5342, 12011, 1674, 1073, 300, 11610, 6909, 28223, 645, 43120, 14686, 724, 20283, 273, 5586, 42161, 14028, 13, 7421, 34075, 25, 576, 4050, 481, 220, 17, 15, 17, 15, 11131, 481, 19832, 220, 17, 25, 12826, 37969, 3173, 4894, 25434, 34075, 576, 4050, 422, 2810, 451, 2957, 804, 5676, 2391, 198, 32617, 24356, 2714, 37400, 83, 9820, 1863, 1704, 5583, 46728, 11, 2746, 2746, 362, 39470, 268, 17058, 94718, 1960, 328, 11042, 2185, 939, 14627, 2739, 8400, 5178, 13, 328, 56188, 10080, 11081, 15398, 2694, 39613, 25, 508, 24, 26126, 43, 16479, 74629, 1579, 13, 2607, 613, 22589, 1531, 57093, 80260, 20005, 66461, 51707, 3393, 44850, 8934, 11, 458, 7421, 6395, 58065, 481, 49536, 14821, 883, 10928, 35515, 485, 19929, 2305, 665, 4368, 746, 5679, 2030, 5451, 4087, 8801, 65, 9151, 425, 15718, 932, 2030, 77877, 29643, 20481, 20551, 13, 9740, 5999, 2694, 31397, 850, 2694, 56740, 2030, 26109, 13785, 264, 13920, 16951, 17454, 6538, 17443, 730, 76966, 309, 2148, 273, 41538, 624, 25434, 956, 51078, 25, 5540, 388, 27941, 2111, 2970, 12, 5830, 6817, 8801, 7421, 34075, 25, 5540, 388, 18660, 5999, 4368, 40685, 12462, 11, 304, 2429, 28206, 60074, 780, 53383, 5451, 72440, 33328, 277, 72964, 22388, 87502, 11, 2694, 21331, 35725, 529, 258, 13225, 4260, 9305, 2746, 13279, 28206, 10712, 7996, 86, 8535, 69, 15113, 84409, 796, 19985, 295, 2030, 17443, 53936, 794, 8666, 15843, 15232, 309, 42524, 11, 7801, 9395, 273, 11, 3371, 32559, 722, 85127, 220, 17, 2694, 48158, 7421, 20805, 261, 9443, 5178, 624, 54, 86805, 141775, 13785, 94919, 28724, 288, 24505, 2356, 13, 8408, 9740, 267, 11855, 495, 16722, 2185, 2694, 48158, 19832, 17058, 16951, 301, 53211, 5178, 304, 2694, 97504, 304, 2694, 66968, 5016, 5186, 69, 1126, 1528, 732, 95006, 3452, 14552, 22463, 3179, 11, 304, 2694, 2746, 49765, 665, 39455, 709, 27684, 321, 2501, 14821, 624, 94050, 17227, 15495, 37347, 94919, 54493, 65, 29560, 24505, 2356, 0, 42161, 50201, 2694, 730, 37473, 13315, 13, 6702, 8408, 95506, 2694, 5124, 4716, 30683, 939, 61882, 12, 60669, 95506, 89931, 61065, 663, 16335, 403, 1574, 1863, 1704, 32251, 7272, 50201, 624, 80515, 16023, 74191, 25994, 11, 4443, 43860, 2746, 1850, 76, 61897, 20005, 39610, 83, 3914, 36614, 66238, 6395, 20048, 13, 29434, 289, 7066, 295, 5451, 7148, 20551, 92048, 4443, 1230, 5679, 7421, 11, 7060, 304, 2694, 328, 56188, 1079, 84701, 7421, 75315, 624, 57734, 2823, 1415, 738, 11687, 3371, 23334, 72101, 53936, 54936, 14668, 422, 1151, 709, 11, 2694, 9089, 732, 66968, 37419, 73197, 61897, 529, 8896, 11, 11845, 11, 66983, 2746, 61882, 7658, 4266, 30632, 41557, 3371, 3680, 61229, 97713, 8224, 46680, 304, 15383, 26956, 2106, 295, 624, 18175, 11020, 285, 54736, 85239, 304, 2694, 97504, 2746, 63165, 17739, 142845, 2030, 95013, 622, 15398, 17058, 81440, 7219, 3371, 88687, 50098, 2030, 835, 268, 5451, 2429, 289, 2956, 331, 306, 21673, 7421, 45702, 4370, 624, 1427, 30682, 65, 3454, 75278, 22318, 533, 13017, 7231, 1371, 77919, 2746, 70219, 1020, 1782, 275, 2694, 56740, 7180, 35780, 83592, 13, 758, 2694, 43120, 40416, 883, 732, 85117, 43183, 81548, 268, 11, 12763, 70628, 27267, 14047, 7421, 624, 25863, 11471, 16976, 3680, 1389, 28421, 1079, 220, 23, 13, 8408, 142407, 69, 15113, 2986, 4733, 12583, 35951, 35225, 5451, 28449, 9247, 9421, 6969, 1587, 295, 13, 758, 3371, 7279, 1191, 7714, 2746, 16951, 301, 1079, 8408, 3386, 1579, 309, 9247, 2030, 2746, 730, 15232, 309, 42524, 34242, 3002, 11610, 33315, 96382, 4366, 81442, 304, 2694, 56740, 87533, 6395, 53835, 11, 12643, 19104, 8793, 1105, 3605, 17029, 624, 44, 1442, 1536, 896, 457, 1147, 83049, 2714, 63620, 2694, 730, 15232, 1574, 1070, 6395, 59228, 52747, 7577, 22157, 508, 16, 18, 60, 2030, 19767, 2746, 468, 6130, 1466, 5676, 9421, 7421, 20805, 68, 2030, 6928, 5999, 2714, 47332, 1536, 896, 457, 33529, 13977, 13, 45481, 2746, 294, 98280, 16951, 301, 387, 285, 2493, 2010, 41210, 47650, 220, 17, 13, 5232, 417, 355, 9660, 16976, 151643, 15, 17, 5004, 372, 4368, 38805, 22385, 50095, 76716, 524, 93434, 14505, 5999, 11, 4443, 2694, 26692, 9111, 36614, 6538, 92979, 66287, 13920, 6395, 12643, 198, 16, 19, 25, 18, 15, 481, 220, 16, 21, 25, 15, 15, 37210, 41203, 42603, 3644, 261, 82557, 355, 87227, 11595, 25, 8408, 9812, 2030, 2746, 7279, 10712, 2590, 37035, 16358, 665, 552, 1818, 46128, 151643, 5911, 46745, 59522, 77131, 2185, 760, 259, 16053, 75, 485, 404, 29560, 198, 51, 16053, 75, 485, 72, 431, 29560, 758, 10573, 261, 11565, 5331, 30102, 83, 198, 18175, 9443, 85953, 49633, 41210, 56500, 15462, 35323, 268, 49371, 83820, 95038, 11, 572, 5451, 70836, 1697, 268, 12, 22996, 11706, 268, 46954, 198, 26493, 8495, 304, 4368, 65608, 627, 1276, 48376, 3065, 268, 13, 1597, 485, 46954, 12643, 5006, 81591, 28789, 18078, 1387, 2694, 16023, 19767, 44367, 8700, 12, 2320, 68, 198, 261, 14847, 267, 13, 19000, 12583, 13906, 60297, 2799, 10559, 46954, 320, 89, 1785, 13, 8031, 22468, 11, 13017, 44914, 778, 612, 12385, 38183, 29413, 939, 82276, 2863, 1626, 87083, 568, 8408, 41663, 395, 2185, 198, 25655, 57984, 13, 8495, 17630, 7906, 88660, 4368, 1032, 13920, 11, 2746, 8907, 34966, 2185, 11, 3089, 615, 2185, 12385, 132678, 21062, 2185, 31008, 46954, 6395, 2739, 5205, 268, 13, 38747, 25655, 39307, 6395, 30632, 268, 70777, 16034, 61150, 91741, 32997, 20048, 8495, 9089, 55928, 29413, 21506, 2694, 732, 96783, 372, 32175, 42316, 268, 89470, 458, 6975, 6395, 289, 19875, 13, 3874, 72998, 268, 54383, 43860, 4368, 77814, 6566, 96393, 13920, 13279, 2694, 1147, 590, 21545, 6433, 25714, 82, 4865, 82, 29898, 9416, 450, 6395, 624, 641, 10573, 261, 11565, 5331, 30102, 83, 384, 11352, 624, 21645, 21470, 25, 488, 19, 24, 320, 15, 8, 220, 19, 20, 220, 15, 18, 220, 17, 19 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 220, 22, 16, 198, 36, 37513, 25, 40746, 31, 83, 16053, 75, 485, 404, 29560, 2285, 198, 53, 24619, 46954, 423, 59908, 2185, 3492, 1775, 76141, 12583, 12222, 5451, 75077, 9421, 3612, 19358, 21673, 18069, 14387, 42603, 50837, 13, 8495, 20048, 9820, 47143, 220, 13820, 321, 665, 18069, 14387, 42603, 55928, 29413, 9724, 615, 28421, 13, 422, 39129, 312, 4865, 9820, 1352, 1469, 21766, 55632, 2185, 817, 468, 37513, 458, 6975, 13, 8408, 1032, 331, 13730, 68947, 50499, 2694, 14840, 16034, 47640, 615, 1704, 53211, 70, 1960, 46954, 6913, 1427, 434, 5054, 3258, 46745, 32997, 47631, 50095, 6250, 267, 78940, 54383, 2429, 425, 8804, 25651, 268, 4368, 77814, 6566, 96393, 13920, 13279, 2694, 1147, 590, 21545, 6433, 25714, 82, 4865, 82, 29898, 9416, 450, 2082, 6395, 13, 93716, 21545, 7256, 25714, 82, 4865, 82, 29898, 9416, 450, 304, 3258, 46745, 32997, 47631, 21673, 70777, 5999, 2694, 11426, 288, 5911, 46745, 32997, 1371, 50528, 52015, 665, 939, 46307, 1933, 288, 11, 304, 2429, 23898, 61197, 59228, 328, 11042, 8896, 13, 51310, 73086, 2694, 91741, 32997, 1371, 50528, 52015, 1960, 39307, 87862, 36866, 585, 1296, 13518, 20048, 9443, 57064, 336, 5948, 1197, 16687, 5676, 12643, 25, 3703, 322, 2136, 948, 6902, 72, 948, 1241, 2285, 14, 1150, 14, 1731, 339, 1225, 14, 69599, 16789, 333, 1960, 2351, 15504, 14, 596, 16789, 333, 1960, 25258, 39054, 2564, 198, 80515, 47404, 9979, 11687, 9421, 74303, 87818, 901, 34271, 268, 2030, 16034, 5016, 32997, 2694, 49371, 52015, 2185, 2739, 2172, 360, 28064, 91912, 665, 11, 13368, 16034, 79192, 7107, 76213, 12385, 1527, 1626, 8535, 11, 2746, 8495, 458, 6975, 10712, 82276, 28551, 265, 8629, 3624, 268, 11, 9820, 25316, 1455, 30781, 13, 41654, 19625, 388, 67056, 30203, 301, 2185, 13, 51310, 47708, 75, 30203, 301, 665, 6250, 90226, 88766, 40193, 8495, 15269, 276, 11, 14948, 2746, 2410, 673, 2986, 457, 939, 425, 90558, 6538, 330, 1254, 52136, 7219, 3703, 52136, 582, 55457, 3818, 2030, 458, 2429, 5016, 9379, 6222, 4001, 304, 75077, 16482, 2986, 457, 13, 43997, 2746, 25316, 12, 66809, 13, 41654, 19625, 388, 67056, 30203, 301, 2185, 49183, 17029, 5999, 11, 20048, 2746, 46954, 11, 2746, 8495, 458, 6975, 13785, 23692, 17454, 11, 8793, 6538, 422, 12153, 5451, 709, 56027, 12643, 624, 18175, 8031, 325, 14668, 79551, 77414, 41210, 773, 4081, 276, 23446, 25994, 13, 25994, 435, 28698, 7219, 77065, 1032, 85577, 79913, 5016, 21140, 458, 2030, 1197, 35505, 31357, 647, 46335, 13, 25994, 1853, 33370, 53797, 11, 23898, 81020, 9979, 7070, 24716, 1241, 50095, 11, 3289, 17149, 1524, 2030, 54548, 261, 6395, 37896, 13, 25994, 12583, 53555, 2918, 1028, 3591, 11, 2746, 7219, 77065, 1032, 85577, 668, 709, 71168, 12643, 2030, 2746, 35783, 16482, 2341, 92473, 13, 8408, 84701, 2694, 6538, 6975, 31100, 408, 33748, 25994, 12583, 773, 4081, 276, 23446, 330, 5283, 7658, 25874, 3263, 8495, 12643, 14047, 51292, 19051, 416, 18078, 53152, 5006, 81591, 17837, 32454, 13920, 13, 1597, 485, 25994, 90556, 7219, 77065, 3972, 137143, 14410, 375, 92473, 14840, 8495, 26769, 326, 32454, 7522, 13, 54068, 25994, 97035, 21673, 1531, 6975, 11, 70836, 16482, 28789, 90935, 18078, 1387, 26252, 89, 8801, 74, 40193, 13, 8495, 20048, 70836, 16482, 773, 4368, 58158, 11, 14948, 8495, 13785, 6616, 2573, 5679, 6538, 25994, 6051, 17029, 12643, 2030, 25994, 12222, 732, 18069, 86612, 541, 2714, 4260, 75967, 11, 2746, 9305, 1466, 2660, 6538, 25994, 7180, 94718, 665, 143053, 12385, 1766, 613, 24131, 331, 11567, 26824, 39307, 6616, 5006, 69022, 89452, 7522, 2694, 25994, 28789, 5016, 11567, 26824, 939, 425, 90558, 49183, 16030, 13, 47436, 2694, 1581, 73607, 36616, 6538, 25994, 15719, 2746, 39610, 83, 3914, 36614, 31008, 16023, 384, 40399, 16789, 15141, 5840, 19349, 13, 25994, 11, 2746, 17312, 60423, 132975, 939, 62788, 34685, 17739, 87727, 70449, 804, 85, 1775, 64487, 12385, 17312, 43157, 275, 54377, 94718, 465, 11, 6538, 43860, 66386, 66107, 66685, 71065, 268, 320, 89, 1785, 13, 467, 9151, 40717, 13233, 3122, 27391, 8, 36408, 1358, 6772, 12583, 11, 12643, 47227, 55754, 6538, 5166, 13, 21, 22080, 13, 16, 13020, 13, 282, 13, 422, 7783, 11169, 14410, 375, 92473, 13, 12741, 16023, 28551, 265, 8629, 8896, 4368, 26933, 13920, 343, 2338, 5665, 23318, 458, 2694, 12307, 28064, 2185, 6538, 25994, 17312, 2799, 16053, 1152, 71, 1536, 24716, 3591, 2030, 7553, 77399, 43157, 275, 54377, 53936, 60404, 5342, 13, 328, 23733, 275, 32936, 25994, 320, 1147, 1785, 13, 25994, 17312, 37427, 325, 19051, 416, 64097, 423, 39416, 724, 8, 14410, 375, 92473, 12643, 11, 12643, 26769, 304, 31008, 91741, 59522, 77131, 2185, 14410, 2111, 529, 72202, 3818, 13, 151643, 38102, 3228, 88, 10672, 278, 472, 4122, 64, 472, 1127, 74, 6535, 16465, 18863, 813, 5451, 25771, 2860, 51134, 13279, 5699, 76, 1942, 88551, 2285, 198, 15, 19, 15, 16524, 12, 23, 22, 320, 15, 8, 28737, 3228, 88, 10672, 278, 472, 4122, 64, 472, 1127, 74, 6535, 16465, 18863, 813, 5451, 25771, 198, 15, 19, 15, 16524, 12, 23, 22, 320, 15, 8, 220, 22, 24, 11, 15, 15, 12984, 11840, 1107, 1726, 285, 198, 22171, 1527, 71, 61673, 5999, 5451, 259, 5186, 74, 23129, 1863, 14136, 21251, 12, 20903, 16676, 2030, 10672, 35649, 9057, 61007, 13, 9740, 98421, 9421, 2694, 472, 4122, 64, 481, 10928, 81331, 10712, 8536, 2694, 25348, 7523, 2030, 5699, 12543, 529, 25494, 74764, 13, 25714, 2429, 259, 5186, 74, 23129, 1527, 71, 61673, 5999, 136249, 9820, 294, 1915, 57168, 13820, 472, 4122, 64, 304, 16465, 18863, 813, 7219, 709, 85426, 624, 35, 2574, 13225, 8892, 18729, 93383, 15719, 2746, 444, 76141, 2694, 730, 6535, 22665, 41658, 32175, 41101, 267, 12643, 13, 11331, 23455, 25, 730, 6535, 2162, 13, 220, 19, 15, 9961, 8688, 481, 2739, 41137, 2257, 39, 4122, 64, 2162, 13, 220, 16, 9961, 61291, 81936, 529, 11595, 1581, 482, 61291, 81936, 529, 2185, 151643, 38, 783, 2030, 9820, 7607, 68, 17630, 18069, 20512, 9034, 13785, 2746, 1205, 90550, 81006, 1859, 17029, 424, 9421, 17443, 69713, 408, 31551, 304, 30198, 652, 12743, 2267, 2892, 13, 758, 444, 587, 896, 71, 1440, 5436, 1387, 1960, 1230, 76514, 276, 23446, 304, 4368, 47375, 6395, 17837, 59141, 11, 47650, 19104, 12743, 51817, 624, 18175, 3651, 551, 72, 1345, 301, 2986, 2714, 23692, 3818, 14047, 17443, 18069, 1323, 1387, 304, 30198, 652, 2030 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 17443, 18069, 1323, 53152, 3004, 1387, 304, 444, 587, 896, 71, 1440, 13, 3406, 6712, 25, 19612, 60365, 198, 2082, 2986, 7256, 198, 49506, 652, 7434, 587, 896, 71, 1440, 198, 53750, 20512, 9034, 12583, 47226, 11840, 94905, 11, 220, 16, 23, 38183, 11, 2030, 4320, 1194, 46680, 11, 220, 16, 18, 38183, 11, 304, 4368, 69713, 408, 31551, 1079, 794, 329, 15560, 791, 304, 30198, 652, 48376, 291, 81, 11595, 13, 42616, 2746, 3651, 551, 72, 5451, 55632, 665, 11, 1197, 40231, 33748, 2746, 1230, 76514, 276, 42469, 51239, 2030, 9820, 7607, 68, 13, 8408, 136142, 939, 5016, 329, 724, 54383, 17790, 8793, 18859, 13, 47436, 17443, 18069, 1323, 53152, 3004, 1387, 1501, 645, 65, 1531, 294, 424, 4370, 1079, 4320, 1194, 46680, 47226, 220, 16, 16, 13, 18, 15, 2030, 220, 16, 24, 38183, 458, 2694, 26647, 23455, 444, 34711, 30102, 304, 444, 587, 896, 71, 1440, 13, 58616, 73184, 1960, 350, 70551, 13785, 2746, 59869, 544, 5186, 304, 4368, 54412, 69, 20933, 3591, 31551, 17837, 59141, 13, 8408, 468, 8719, 1442, 1536, 5699, 11567, 26824, 8793, 9421, 11, 14948, 2746, 350, 70551, 13279, 71017, 33328, 10573, 268, 12743, 51817, 30179, 12583, 624, 18175, 3651, 551, 72, 1345, 301, 2986, 305, 1847, 83, 304, 69791, 434, 32251, 268, 7219, 9919, 68989, 2030, 45692, 2501, 21506, 68987, 320, 15, 20, 16, 18, 22, 8, 220, 23, 17, 22, 15, 49633, 41210, 1197, 709, 4370, 13, 151643, 144580, 5366, 2, 16, 15, 25, 362, 31824, 350, 2625, 20150, 645, 1389, 760, 479, 59391, 343, 384, 74122, 28421, 0, 760, 7107, 34099, 4894, 5366, 2, 16, 15, 25, 362, 31824, 350, 2625, 7379, 268, 8495, 38472, 7107, 34099, 0, 320, 53, 2375, 54371, 7856, 52, 340, 5366, 2, 16, 15, 25, 362, 31824, 350, 2625, 7379, 268, 8495, 38472, 7107, 34099, 0, 320, 38, 783, 978, 9151, 340, 54370, 66482, 51309, 54371, 67488, 15671, 35103, 8495, 35783, 362, 31824, 350, 2625, 38805, 35323, 2030, 58052, 4894, 32, 31824, 350, 2625, 20150, 645, 1389, 1365, 61043, 485, 51309, 54371, 267, 54167, 7180, 8495, 4894, 81761, 44160, 47404, 356, 28085, 290, 905, 5999, 26769, 51309, 54371, 267, 54167, 6395, 362, 31824, 350, 2625, 1273, 268, 9820, 6538, 68042, 51309, 54371, 67488, 15671, 13, 45481, 18302, 288, 69342, 34368, 15671, 16111, 22665, 41658, 7180, 8495, 1365, 304, 55928, 730, 37473, 1365, 38472, 51309, 54371, 267, 54167, 624, 80593, 362, 31824, 350, 2625, 3393, 2746, 61430, 7256, 58154, 805, 57926, 2185, 35103, 4894, 48047, 85970, 43860, 38472, 58154, 805, 57926, 2185, 76120, 4865, 932, 11, 93328, 17630, 16111, 80260, 20005, 1205, 709, 81671, 11, 4443, 8495, 28789, 58154, 939, 362, 31824, 350, 2625, 6395, 143562, 624, 18175, 10991, 92918, 6395, 362, 31824, 350, 2625, 35103, 8495, 9421, 36744, 47227, 9179, 49662, 44160, 51309, 54371, 67488, 15671, 5451, 92660, 2694, 6909, 220, 16, 15, 308, 1777, 258, 8199, 7219, 70, 19230, 295, 624, 1806, 82, 485, 85651, 2185, 4886, 2542, 3591, 7180, 35783, 14410, 1387, 2338, 362, 31824, 350, 2625, 7107, 34099, 198, 48047, 17630, 6975, 2746, 10991, 92918, 2030, 35783, 362, 31824, 350, 2625, 5451, 92660, 44160, 88687, 85651, 2185, 4886, 2542, 3591, 43117, 1923, 6454, 81184, 2030, 2746, 362, 31824, 350, 2625, 2429, 805, 61231, 408, 44989, 8345, 529, 624, 32, 1387, 20048, 8495, 66482, 51309, 54371, 67488, 15671, 58052, 2030, 35323, 1197, 37060, 11, 1508, 9089, 6616, 362, 31824, 350, 2625, 1079, 84758, 81616, 295, 13, 72915, 20048, 8495, 5451, 17443, 67519, 41130, 15671, 24209, 19875, 312, 2125, 268, 13, 758, 2694, 97504, 57984, 8495, 6616, 362, 31824, 350, 2625, 47143, 1079, 90935, 12353, 624, 53, 2375, 273, 28324, 609, 3089, 9151, 8495, 5451, 66482, 51309, 54371, 67488, 15671, 7180, 362, 31824, 350, 2625, 20150, 645, 1389, 198, 44, 2956, 28494, 5999, 1531, 10928, 11, 14948, 6616, 362, 31824, 350, 2625, 10712, 8793, 13906, 81, 137186, 32175, 96695, 14821, 13, 72915, 20048, 8495, 36852, 98975, 11, 1508, 8495, 1538, 41658, 467, 19840, 2986, 14668, 304, 58154, 80617, 85970, 13, 2157, 380, 724, 5999, 1531, 60637, 773, 11, 14948, 883, 6616, 362, 31824, 350, 2625, 58052, 57984, 66316, 13, 758, 36744, 14785, 35103, 8495, 5451, 66482, 51309, 54371, 67488, 15671, 58052, 4368, 141152, 95285, 69342, 624, 40, 4079, 362, 31824, 350, 2625, 37801, 273, 28324, 35103, 8495, 7219, 356, 28085, 290, 905, 16034, 52747, 60939, 198, 53, 24619, 434, 9913, 23647, 1850, 318, 5676, 3371, 52747, 60939, 7180, 362, 31824, 350, 2625, 13, 2055, 5999, 42046, 6616, 468, 94213, 28122, 55933, 13279, 62788, 34685, 17739, 19929, 2305, 1960, 4368, 90796, 7272, 2263, 1579, 850, 13, 16887, 22075, 2746, 87479, 78991, 138645, 12583, 11, 24929, 5999, 67658, 9820, 2341, 8345, 6712, 328, 56188, 6538, 4893, 59444, 13093, 60053, 2185, 624, 35, 1466, 261, 11244, 268, 16111, 43860, 11, 22075, 8495, 74539, 485, 12748, 680, 268, 37896, 85970, 11, 387, 674, 53776, 8495, 3371, 60939, 6538, 362, 31824, 350, 2625, 13785, 15462, 22539, 36964, 28831, 956, 372, 624, 18910, 268, 8495, 8793, 6395, 36077, 78445, 12222, 7219, 3371, 60939, 13, 142839, 93096, 2714, 10928, 17312, 13017, 81, 15938, 2185, 2030, 1531, 73741, 9089, 4368, 51663, 458, 51239, 978, 9151, 11, 22075, 883, 2746, 87479, 142832, 2305, 778, 343, 387, 674, 15938, 295, 13, 425, 36370, 5999, 1531, 60637, 11, 22075, 8495, 38472, 77420, 21673, 1527, 87227, 11595, 458, 6616, 362, 31824, 350, 2625, 18859, 48414, 624, 35, 2667, 4368, 11386, 1923, 12385, 10928, 6395, 75260, 63944, 60939, 50926, 8495, 8793, 12304, 258, 17312, 93403, 57926, 2185, 50232, 1440, 13, 12741, 141963, 5342, 60939, 8896, 8793, 25531, 2746, 28822, 98060, 7180, 35783, 362, 31824, 350, 2625, 13, 362, 42888, 8495, 75590, 13279, 17443, 25494, 75260, 81, 6433, 60939, 74054, 11, 1508, 38472, 22539, 66107, 42888, 90080, 52028, 268, 10928, 92670, 268, 12583, 624, 39041, 24585, 142675, 141489, 8495, 3371, 60939, 8793, 56354, 42789, 71593, 610, 139376, 6433, 13, 34903, 5699, 54708, 43860, 93328, 9820, 22539, 15398, 647, 6670, 71, 724, 41210, 13906, 13, 24209, 44977, 8495, 3371, 60423, 82, 88718, 82, 1726, 285, 19051, 416, 362, 31824, 350, 2625, 6395, 2714, 23692, 17454, 13, 51309, 273, 28324, 8495, 49536, 2746, 4968, 1064, 2694, 10991, 92918, 13, 9740, 265, 2125, 268, 8495, 24929, 3371, 7180, 8495, 52747, 57123, 54594, 624, 47957, 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 ]

[ 8495, 14047, 39416, 343, 5451, 77065, 362, 31824, 350, 2625, 1147, 1704, 4487, 268, 12583, 11, 69499, 7180, 4937, 12304, 61291, 11, 2746, 7180, 8495, 61430, 7256, 647, 6670, 71, 724, 41210, 7180, 15462, 58154, 6395, 35103, 13, 77814, 56539, 6433, 8495, 9089, 9421, 72313, 6772, 5451, 77065, 22539, 66107, 42888, 362, 31824, 350, 2625, 11, 2030, 51134, 8495, 93644, 742, 433, 408, 624, 3430, 69046, 268, 8495, 9089, 13906, 2429, 58154, 63620, 51333, 665, 11, 2746, 16111, 7180, 8495, 80940, 17029, 17630, 11, 4443, 8495, 51721, 40334, 408, 6395, 143562, 13, 16354, 275, 2714, 23692, 17454, 8495, 58052, 2030, 35323, 2746, 434, 9913, 23647, 11, 2746, 8495, 25531, 7180, 3371, 58154, 6538, 362, 31824, 350, 2625, 4368, 1371, 13536, 12032, 74453, 624, 1806, 82, 485, 72055, 1268, 11595, 7180, 362, 31824, 350, 2625, 51134, 11, 14047, 52990, 1921, 268, 6538, 220, 16, 14840, 220, 16, 15, 11, 2714, 23692, 17454, 16111, 7219, 59785, 23898, 288, 22665, 70628, 85651, 2185, 778, 31126, 624, 72287, 6616, 362, 31824, 350, 2625, 85651, 11595, 2030, 1032, 89, 2645, 268, 2030, 13368, 85, 24619, 8896, 1531, 5267, 36, 8719, 1442, 17454, 8495, 2746, 19767, 82, 88718, 20005, 61291, 81936, 529, 2185, 2030, 81314, 53776, 8495, 2746, 1863, 1704, 4487, 268, 22385, 2694, 61291, 5451, 77065, 362, 31824, 350, 2625, 624, 36, 8719, 1442, 17454, 8495, 3371, 431, 524, 939, 362, 31824, 350, 2625, 9179, 49662, 53936, 730, 37473, 2030, 81314, 53776, 8495, 1531, 732, 51309, 54371, 5451, 38684, 6252, 41137, 932, 624, 33, 17366, 53776, 16111, 7180, 362, 31824, 350, 2625, 3393, 2746, 7107, 34099, 5451, 52716, 78233, 524, 40308, 198, 1806, 82, 485, 25714, 61229, 6538, 356, 28085, 290, 905, 5999, 1531, 11, 43860, 38472, 93403, 57926, 2185, 7180, 15462, 58154, 6538, 362, 31824, 350, 2625, 35323, 2030, 71935, 6395, 12743, 59493, 624, 50855, 20048, 54831, 5451, 17443, 81287, 44367, 7107, 34099, 88766, 40193, 13, 35783, 22539, 66107, 331, 2338, 362, 31824, 350, 2625, 14821, 43860, 773, 32175, 96695, 11, 14948, 8495, 54831, 53835, 20048, 11, 12442, 8528, 69342, 1079, 52747, 68336, 2863, 723, 26109, 13, 142839, 5999, 1531, 49536, 10928, 6616, 69342, 5451, 2694, 141963, 15795, 92887, 16597, 1704, 4487, 268, 22385, 304, 2694, 51309, 59141, 22385, 13, 18372, 5679, 8495, 26769, 7416, 8229, 7180, 38472, 34734, 1952, 58154, 805, 57926, 2185, 10712, 61474, 36616, 624, 33, 17366, 53776, 16111, 2746, 78233, 524, 40308, 7180, 35783, 362, 31824, 350, 2625, 6395, 51134, 198, 91992, 30353, 8495, 15462, 81287, 7219, 44367, 78233, 524, 40308, 6395, 77065, 14410, 1387, 1960, 362, 31824, 350, 2625, 13, 38747, 35103, 8495, 7416, 40308, 13785, 38472, 60939, 388, 1732, 25151, 11, 64289, 8495, 53835, 11, 13368, 8495, 2746, 4968, 1064, 2694, 66968, 28831, 2739, 21545, 529, 17630, 2030, 8495, 53835, 54831, 7219, 15462, 81287, 11, 54505, 7180, 8495, 4368, 17859, 261, 28831, 71865, 16034, 22309, 28421, 5999, 624, 50, 965, 1960, 8495, 17790, 83126, 333, 301, 17630, 11, 1508, 8495, 35783, 65681, 288, 362, 31824, 350, 2625, 81671, 17630, 11, 24929, 1853, 33370, 44367, 7416, 40308, 13785, 2746, 7107, 34099, 5451, 78233, 524, 40308, 43860, 10712, 38596, 52764, 82017, 11, 2994, 8495, 11937, 47143, 5665, 23318, 458, 2429, 69342, 17630, 13, 13017, 81, 53776, 8495, 12304, 730, 2542, 3591, 2030, 47008, 8495, 26769, 304, 38472, 93403, 57926, 2185, 31287, 742, 38809, 13, 151643, 144202, 444, 1893, 12010, 25, 468, 287, 81, 3092, 304, 3371, 143089, 423, 81112, 760, 4111, 325, 37953, 198, 17082, 64894, 495, 11042, 25, 1260, 1070, 98359, 320, 16, 21, 13, 15, 16, 13, 17, 15, 16, 24, 8, 70984, 13906, 220, 15, 16, 25, 15, 15, 38183, 31915, 16754, 665, 4368, 9919, 4733, 304, 2694, 79735, 6222, 3923, 1960, 6222, 2172, 23455, 11, 13368, 57093, 14840, 5205, 41544, 1225, 276, 23446, 87040, 732, 74219, 17058, 14322, 590, 6712, 40462, 52434, 81616, 20005, 6250, 81112, 778, 3048, 261, 7219, 2746, 26647, 23455, 4116, 30353, 2030, 93644, 56400, 408, 1320, 2391, 13920, 33748, 13, 1230, 423, 89, 2391, 28494, 595, 24774, 3651, 551, 579, 14580, 665, 16034, 84247, 13, 51310, 48376, 10068, 275, 7714, 73507, 303, 2185, 14047, 3371, 2988, 2391, 13920, 6433, 11, 289, 15422, 72, 1531, 9089, 4443, 40462, 88765, 20005, 2030, 40462, 582, 579, 20005, 350, 70551, 1424, 17454, 22589, 11, 1501, 645, 65, 53211, 70, 2301, 13, 135972, 50095, 41210, 26109, 48803, 6250, 81112, 5342, 321, 88487, 2739, 1149, 11687, 12385, 25620, 30875, 17917, 13, 8408, 3651, 551, 72, 479, 2416, 8896, 2746, 468, 8719, 1442, 75, 11595, 16034, 33328, 13464, 48376, 10068, 41538, 2030, 45692, 2501, 9919, 768, 39867, 258, 41210, 21506, 2694, 22836, 13, 220, 15, 18, 21, 20, 608, 220, 23, 17, 24, 12, 15, 11, 1197, 709, 4370, 13, 320, 61884, 340, 38, 2416, 320, 2412, 8, 481, 758, 2694, 28831, 6538, 220, 16, 19, 13, 15, 16, 13, 481, 220, 16, 20, 13, 15, 16, 13, 17, 15, 16, 24, 1353, 59141, 41544, 1225, 276, 23446, 350, 70551, 22539, 278, 2576, 309, 304, 6616, 65503, 370, 55632, 36108, 54412, 69, 20933, 3591, 4223, 4776, 304, 2694, 96056, 12010, 34372, 6222, 2172, 23455, 4368, 11, 289, 15422, 72, 9911, 37337, 21062, 21140, 2739, 1723, 53776, 13, 28275, 96042, 6433, 9740, 2712, 406, 77, 36964, 47650, 59765, 1197, 40231, 295, 13, 8408, 468, 8719, 1442, 75, 11595, 47650, 7219, 4370, 46646, 13, 320, 61884, 8, 75074, 1626, 8535, 67382, 458, 25, 663, 5186, 5137, 3651, 551, 72, 11426, 288, 9896, 551, 72, 1330, 375, 39470, 479, 2416, 4111, 325, 267, 6712, 68987, 25, 220, 15, 18, 21, 20, 220, 23, 17, 24, 220, 16, 20, 15, 18, 608, 481, 16, 20, 15, 19, 468, 37513, 25, 1774, 3591, 2733, 12, 1389, 64, 79332, 343, 31, 9896, 551, 72, 13677, 84, 4671, 268, 2285, 12236, 43, 1893, 12010, 25, 23334, 6969, 5186, 89, 2338, 14322, 590, 613, 724, 3048, 198, 38, 2416, 320, 2412, 8, 481, 18069, 1007, 724, 4865, 6772, 21982, 22087, 4443, 6969, 78, 7997, 21649, 26647, 7997, 724, 3048, 41852, 30875, 92172, 12743, 932, 320, 16, 20, 13, 15, 16, 13, 17, 15, 16, 24, 11, 34699, 220, 16, 22, 25, 16, 15, 38183, 8, 15462, 732, 42256, 268, 28129, 668, 6969, 613, 1960, 393, 28600, 55746, 13, 19000, 6250, 81112 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 778, 3048, 9136, 301, 12412, 62401, 7219, 2746, 1260, 14553, 1528, 23549, 2030, 76178, 267, 9416, 665, 26769, 342, 15141, 89, 6772, 13, 87040, 47650, 8793, 2739, 1149, 11687, 13, 320, 61884, 8, 75074, 1626, 8535, 67382, 458, 25, 663, 5186, 5137, 3651, 551, 72, 11426, 288, 9896, 551, 72, 1330, 375, 39470, 479, 2416, 4111, 325, 267, 6712, 68987, 25, 220, 15, 18, 21, 20, 220, 23, 17, 24, 220, 16, 20, 15, 18, 608, 481, 16, 20, 15, 19, 468, 37513, 25, 12236, 43, 1893, 12010, 25, 43708, 77, 10938, 1674, 6242, 273, 1776, 3586, 198, 38, 2416, 320, 2412, 8, 481, 1863, 27105, 293, 1440, 77, 10938, 1674, 6242, 273, 1776, 3586, 3303, 28462, 9160, 52370, 435, 4738, 268, 48614, 386, 39563, 320, 16, 21, 13, 15, 16, 13, 17, 15, 16, 24, 701, 70984, 14047, 220, 15, 22, 25, 15, 15, 38183, 3841, 8801, 896, 4079, 2030, 3651, 551, 72, 7219, 3371, 9680, 13, 20004, 14840, 5205, 41544, 1225, 276, 42469, 2825, 34271, 268, 52258, 23446, 2694, 758, 39416, 2694, 9678, 2030, 64015, 19767, 2746, 3841, 8801, 896, 4079, 17837, 32454, 13920, 12643, 13, 8408, 468, 8719, 1442, 75, 11595, 16034, 16430, 4188, 1528, 12032, 47650, 7219, 4370, 46646, 13, 87040, 11, 58319, 49633, 41210, 12412, 25655, 56500, 20048, 11, 12643, 29167, 33748, 11, 9089, 21506, 2694, 22836, 13, 220, 15, 18, 21, 20, 608, 220, 23, 17, 24, 12, 15, 11, 458, 2503, 151643, 53, 269, 220, 17, 69713, 27726, 10638, 7219, 17443, 752, 71, 3342, 2305, 70, 343, 336, 82182, 15462, 25851, 268, 29860, 74261, 826, 7865, 406, 13, 34903, 17630, 6975, 7219, 1527, 71, 645, 65, 2256, 2739, 84884, 2030, 732, 1527, 21062, 75, 1854, 65608, 1147, 361, 258, 8199, 7219, 4370, 46646, 2030, 97144, 5665, 23318, 458, 71620, 8199, 49933, 1241, 295, 13, 758, 30781, 17739, 5699, 60322, 12385, 42150, 16030, 16111, 140729, 2030, 10928, 4368, 12475, 25651, 5999, 3893, 20827, 13, 2009, 68627, 73600, 12495, 6975, 220, 19, 20, 15, 13136, 2030, 10638, 1422, 424, 23273, 11, 1508, 6616, 139906, 68312, 16030, 67594, 11, 13279, 773, 17058, 4863, 802, 46621, 67058, 304, 2694, 1527, 42477, 82, 29413, 30, 142839, 35141, 883, 57465, 550, 78, 34368, 54459, 668, 86, 23118, 11, 13368, 9089, 6616, 93898, 30632, 80129, 3818, 1112, 151643, 92799, 68398, 2860, 11846, 608, 220, 15, 24, 13, 15, 19, 13, 17, 15, 17, 16, 608, 69219, 15215, 198, 96664, 2010, 3416, 2694, 2823, 709, 4905, 2185, 47226, 44979, 2030, 29505, 14134, 1719, 23155, 28242, 928, 48672, 367, 320, 54118, 27557, 701, 608, 16, 18, 11, 2825, 58498, 356, 1079, 60404, 46680, 11, 73208, 9592, 44979, 13, 44979, 13, 23155, 14523, 21766, 2429, 393, 11855, 798, 66198, 285, 34699, 29505, 14134, 68573, 44979, 9421, 4188, 31722, 268, 11, 10928, 14047, 362, 2024, 50528, 2694, 14089, 96049, 31380, 29413, 822, 71, 2746, 23155, 11171, 3101, 60730, 624, 1514, 258, 58009, 69, 3959, 70984, 13906, 49279, 1854, 95035, 6616, 19349, 20048, 13, 16887, 16111, 75130, 10928, 11, 14948, 16111, 732, 48158, 31380, 68021, 1845, 8577, 17859, 14410, 2493, 3818, 17630, 624, 2183, 6712, 25, 26587, 13, 1863, 10110, 4979, 4368, 794, 5186, 1174, 11, 2694, 9089, 10928, 595, 75024, 6772, 34699, 2746, 29505, 14134, 19767, 746, 5679, 15719, 13, 89302, 67817, 436, 5436, 1387, 665, 6395, 5699, 37633, 268, 13, 2806, 268, 220, 17, 624, 45696, 46745, 32997, 12, 52491, 1902, 4865, 54068, 16023, 74191, 25994, 11, 40870, 16111, 5419, 2746, 1850, 76, 61897, 20005, 7355, 59522, 261, 69, 65224, 66238, 20048, 13, 62467, 1531, 19104, 8793, 624, 78734, 479, 83, 2986, 32618, 490, 783, 11, 16013, 55591, 11, 668, 8408, 35515, 291, 10559, 5055, 17562, 82, 20542, 40821, 72410, 9919, 713, 12495, 17837, 7964, 12359, 74, 2412, 5451, 2694, 35515, 291, 17739, 19846, 9127, 261, 7219, 2694, 3240, 590, 11, 9740, 10561, 81, 2185, 17312, 6250, 2660, 307, 2185, 6538, 42786, 10661, 301, 458, 11, 420, 9300, 2694, 8444, 426, 261, 34031, 624, 7462, 17088, 37951, 19461, 60901, 11610, 93574, 45983, 10207, 19461, 60901, 13411, 33020, 1032, 13920, 20005, 49633, 41210, 44134, 3408, 92048, 2308, 48471, 91741, 32997, 36702, 3732, 645, 1032, 13920, 20005, 49633, 41210, 24356, 10911, 4865, 3732, 645, 8085, 16034, 19461, 60901, 9299, 395, 63472, 301, 2024, 45258, 472, 8313, 2030, 63472, 301, 2024, 45258, 794, 332, 5679, 468, 6308, 76213, 2739, 26397, 1960, 86173, 930, 83769, 5566, 304, 1501, 2863, 78152, 665, 624, 30124, 86, 14134, 42100, 17029, 304, 467, 36956, 2185, 758, 60650, 66968, 45506, 467, 76, 29505, 14134, 44979, 294, 27097, 81760, 304, 20603, 482, 794, 8666, 328, 8904, 6909, 2694, 25006, 376, 524, 64646, 624, 55193, 25, 8408, 29505, 291, 34711, 12583, 2429, 19846, 43303, 1531, 57093, 5016, 64513, 13, 3303, 28275, 23692, 351, 738, 89282, 9089, 67015, 373, 1571, 451, 22181, 1933, 68, 5451, 34699, 1084, 55318, 19767, 2030, 54383, 40870, 2714, 24855, 1127, 21506, 3371, 57093, 52747, 39613, 2694, 44966, 624, 13314, 11, 53423, 11, 582, 990, 41519, 304, 1039, 65929, 448, 1039, 75443, 8549, 323, 438, 949, 13, 2362, 1174, 41557, 25, 33328, 17443, 37419, 304, 294, 12153, 12475, 2945, 308, 1923, 10712, 44979, 2429, 20004, 3408, 713, 624, 45, 3065, 268, 3371, 44856, 1960, 2030, 5649, 12070, 45061, 25061, 2694, 38684, 47404, 732, 14261, 883, 9089, 1422, 4368, 81020, 13, 77211, 44979, 30632, 41557, 28883, 98863, 306, 269, 90556, 2030, 1640, 19851, 65, 5472, 1574, 4368, 13536, 12032, 624, 1427, 98863, 16597, 768, 738, 11687, 5235, 15795, 9156, 52716, 5016, 1854, 6395, 60021, 458, 481, 1353, 48985, 13, 44979, 508, 52, 17, 15, 47610, 936, 29505, 14134, 25, 27219, 16722, 481, 37832, 11, 61916, 358, 273, 23892, 83, 11, 7577, 94540, 11, 9236, 5999, 35323, 1501, 2956, 67, 11, 14948, 1531, 24929, 68876, 467, 76, 29505, 14134, 44979, 1494, 17029, 11, 13368, 16111, 1531, 11937, 28086, 2714, 35608, 295, 83572, 624, 18175, 4818, 50601, 30648, 34711, 305, 287, 19981, 43303, 35770, 25494, 1007, 724, 344, 7219, 455, 85885, 11, 50435, 304, 328, 14033, 5679, 9421, 3556, 129579, 1960, 650, 2721, 287, 1960, 8495, 4188, 14387, 268, 1411, 53776, 9911, 458, 36744, 79509, 370, 408, 70336, 7219, 3371, 72055, 624, 32617, 7909, 6538, 647, 3662, 12, 6639, 377, 2892, 10269, 9979, 89282, 97713, 40866, 1298, 730 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2305, 267, 7522, 91265, 732, 25714, 4645, 355, 44236, 2694, 29505, 291, 34711, 2030, 7845, 665, 6616, 31380, 58052, 624, 40, 4079, 67489, 277, 26109, 668, 45061, 70980, 13, 8408, 61217, 62702, 78743, 681, 939, 19751, 2010, 4678, 11610, 2746, 29505, 291, 34711, 624, 55193, 25, 2014, 10692, 7180, 29505, 14134, 0, 42079, 2876, 9510, 33082, 51528, 96042, 25494, 69987, 11, 2694, 19751, 23162, 11007, 258, 70251, 396, 2694, 431, 22576, 37727, 6395, 1152, 70667, 13, 55167, 25, 8408, 422, 16208, 7276, 956, 10316, 17630, 12412, 83630, 6772, 18520, 31380, 4942, 457, 2030, 97696, 72734, 485, 16358, 89, 6817, 11, 85725, 64857, 2746, 29505, 291, 34711, 13279, 12836, 9433, 11042, 44979, 25494, 259, 4738, 481, 289, 4288, 278, 65, 2746, 1527, 80885, 20155, 268, 40897, 4443, 3371, 220, 16, 21, 261, 7180, 2746, 1581, 60135, 99025, 92670, 268, 12583, 624, 55193, 25, 431, 8095, 2956, 74247, 426, 304, 3371, 220, 16, 21, 261, 11, 14821, 24929, 19104, 6538, 472, 1878, 287, 12743, 453, 417, 13, 2869, 676, 471, 2816, 2085, 9089, 12222, 70984, 8099, 506, 4079, 2030, 77509, 458, 25, 1674, 642, 304, 4929, 93803, 31316, 12960, 11, 8444, 1147, 83049, 624, 22171, 2926, 1942, 7219, 2746, 29505, 291, 34711, 45692, 2501, 6395, 13, 9236, 8896, 48614, 35323, 220, 16, 17, 18, 19751, 8398, 66287, 4865, 624, 36, 37513, 41519, 40013, 5948, 81804, 16030, 13, 3303, 8224, 46680, 19104, 64015, 10928, 9911, 14047, 54649, 18069, 896, 331, 3226, 2185, 17312, 54936, 14668, 19851, 65, 29413, 79913, 18069, 1489, 1854, 7219, 6616, 78796, 285, 80617, 624, 1912, 23747, 1933, 8896, 40870, 28831, 11, 9089, 7180, 2746, 49279, 355, 704, 542, 4025, 6395, 274, 8666, 17454, 13, 84276, 1487, 4370, 8495, 9089, 13906, 2429, 67489, 16030, 4368, 8779, 8779, 13, 35783, 1320, 11007, 5016, 1854, 5999, 37568, 22338, 4050, 6395, 650, 42339, 8345, 529, 624, 18175, 3184, 73508, 258, 42668, 9089, 732, 48158, 2825, 31832, 724, 44236, 3371, 1863, 2636, 29167, 299, 7522, 13, 8408, 4818, 50601, 30648, 34711, 305, 287, 19981, 43303, 35770, 25494, 1007, 724, 344, 7219, 455, 85885, 11, 50435, 304, 328, 14033, 5679, 9421, 3556, 129579, 1960, 650, 2721, 287, 1960, 8495, 4188, 14387, 268, 1411, 53776, 9911, 458, 467, 76, 29505, 14134, 44979, 79509, 370, 408, 70336, 7219, 3371, 72055, 624, 32, 652, 7180, 15462, 81574, 53936, 98060, 63940, 2746, 18713, 5524, 665, 139554, 13, 16887, 24929, 12583, 2746, 29505, 291, 34711, 5451, 54649, 27941, 13256, 384, 3187, 3145, 624, 39, 940, 5699, 2892, 11687, 9820, 2988, 88729, 7219, 3371, 3984, 21112, 1404, 71865, 11, 23738, 5016, 2391, 54956, 6623, 36702, 343, 54383, 7297, 84531, 6616, 444, 7294, 34699, 2746, 84991, 1626, 4865, 2185, 6538, 27219, 16722, 44989, 8345, 529, 55167, 25, 467, 22181, 4368, 326, 4003, 3360, 321, 6385, 2694, 29505, 291, 34711, 11, 26252, 1187, 84, 529, 55857, 15113, 624, 19462, 811, 332, 93077, 2501, 34834, 674, 29931, 15462, 3360, 321, 6385, 2030, 74247, 426, 668, 481, 5016, 494, 15719, 24443, 61979, 3371, 20678, 3138, 4050, 17312, 468, 60273, 668, 896, 71, 1440, 624, 32617, 1494, 17029, 304, 2694, 362, 39470, 13, 55167, 66093, 6616, 773, 13, 386, 57588, 8495, 9089, 458, 58954, 73255, 13364, 332, 16030, 8495, 5451, 1527, 36601, 268, 393, 1859, 321, 14047, 312, 54327, 624, 4416, 55449, 4865, 44979, 6616, 362, 13920, 490, 258, 1574, 13, 28275, 47438, 1047, 451, 519, 98888, 2014, 344, 41928, 24929, 55248, 17790, 54459, 481, 8725, 14649, 6616, 68517, 8444, 1230, 2721, 74919, 537, 40231, 7256, 25994, 74453, 55928, 29413, 49183, 17029, 19349, 11, 40870, 16111, 72701, 468, 6308, 76213, 7180, 2746, 24356, 13431, 6308, 76213, 2341, 88581, 20048, 624, 70194, 6928, 2923, 13093, 60053, 2185, 141176, 31932, 331, 5999, 11, 18060, 1531, 8652, 512, 307, 11, 19104, 10638, 42668, 6616, 141176, 38805, 72734, 304, 3371, 66968, 57093, 11, 136740, 350, 8535, 624, 50744, 4284, 730, 12543, 713, 25, 330, 48047, 30636, 90930, 16030, 23898, 38805, 288, 11426, 13, 7543, 74, 352, 479, 34271, 29536, 33661, 304, 2746, 3660, 645, 13, 8444, 71, 2391, 465, 89983, 6252, 2712, 81, 587, 4116, 11, 50697, 704, 13368, 6616, 5016, 1122, 82, 36702, 2375, 288, 848, 77, 11, 5699, 44704, 48323, 273, 307, 295, 624, 50855, 1148, 12495, 1422, 12222, 220, 17, 20, 5719, 1527, 87227, 11595, 25494, 7219, 1174, 91647, 75182, 2030, 13, 18069, 28198, 6538, 220, 16, 15, 15, 14821, 10712, 19612, 9225, 16030, 2030, 43860, 2746, 38934, 42705, 83, 1127, 28086, 47553, 6395, 409, 68413, 47669, 17862, 11, 51290, 2746, 93403, 57926, 2185, 939, 46307, 423, 86, 3145, 28122, 1389, 4865, 82, 624, 42, 10827, 74, 23118, 17630, 9820, 25494, 31287, 1777, 8536, 10573, 2185, 58237, 11, 3201, 78, 41130, 7073, 55449, 4865, 2694, 393, 1716, 13, 5004, 372, 5999, 79504, 7219, 18084, 14410, 61007, 17790, 76, 1127, 9820, 53555, 5016, 54913, 8400, 709, 5451, 3371, 624, 4416, 5999, 883, 7219, 53165, 14785, 2030, 1525, 83, 21673, 21631, 23745, 596, 49793, 87488, 408, 14410, 13920, 11687, 2030, 13, 8031, 288, 393, 10394, 89, 7052, 288, 5397, 3845, 18520, 15269, 652, 95402, 296, 331, 1944, 11, 24929, 5699, 64, 361, 82816, 304, 88787, 40577, 95905, 624, 18175, 467, 7066, 276, 87227, 11595, 1422, 6616, 16194, 72410, 52747, 8105, 76904, 52549, 65681, 34814, 13, 35331, 15843, 9935, 7219, 76, 45699, 45287, 10948, 95788, 75822, 2030, 7060, 83904, 92887, 408, 3591, 267, 2047, 268, 11, 2746, 71935, 13, 151643, 450, 6862, 28877, 1740, 12169, 1740, 49259, 7330, 393, 1094, 2410, 71, 54840, 290, 39455, 645, 198, 17117, 31151, 268, 7219, 137943, 12743, 613, 665, 70777, 40897, 4443, 2170, 295, 28877, 1740, 36519, 12169, 1740, 36519, 21804, 36519, 49259, 36519, 49866, 36519, 393, 1094, 36519, 2030, 7330, 23620, 652, 1489, 31573, 46745, 32997, 8400, 645, 510, 14873, 268, 80167, 6072, 13, 2170, 295, 624, 37, 57596, 25, 2170, 295, 4894, 17360, 27298, 88028, 79913, 18069, 52015, 7180, 6616, 93504, 2170, 295, 4894, 53, 654, 13, 47650, 47226, 97973, 2746, 18069, 376, 70668, 11, 2746, 6616, 93504, 2170, 295, 1197, 35505, 11, 82195, 406, 624, 46, 1107, 6616, 93504, 2170, 295, 8896, 8793, 2746, 31954, 265, 40951, 5016, 38013, 41210, 624, 450, 6862, 481, 6569, 258, 18069, 52015, 4894, 18175, 66968, 15132, 65, 14412, 43414, 11, 2746, 44160, 16023, 1147, 4733, 539, 4711, 47650, 25 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 259, 5186, 8400, 3591, 289, 6309, 28877, 1740, 39455, 645, 1353, 1942, 13906, 1371, 10661, 3818, 18689, 331, 32997, 8400, 645, 296, 6642, 24, 17, 15, 15, 78475, 70, 2010, 331, 32997, 8400, 645, 17907, 375, 4201, 2986, 15862, 130337, 993, 16668, 908, 8400, 645, 22962, 1664, 1079, 18045, 822, 220, 18, 21, 20, 15, 5699, 32997, 8400, 645, 6753, 18131, 50781, 5679, 89, 9443, 645, 3233, 4647, 436, 331, 32997, 10246, 802, 517, 1051, 17907, 9443, 645, 81070, 307, 1915, 58267, 5451, 5699, 32997, 8400, 645, 16034, 44096, 355, 268, 64857, 74849, 8400, 645, 9518, 220, 16, 15, 15, 521, 36750, 6241, 9443, 36616, 281, 7362, 259, 16053, 33425, 268, 8400, 3591, 2825, 32454, 325, 36108, 24446, 7429, 6853, 74, 370, 482, 59850, 3680, 13464, 1371, 332, 301, 328, 2305, 552, 15862, 130337, 3078, 562, 78836, 9443, 3591, 34542, 23089, 65, 408, 2778, 72, 9443, 645, 24691, 983, 23330, 267, 79956, 8400, 3591, 11823, 289, 395, 14348, 1121, 6902, 2574, 139376, 50499, 444, 7821, 331, 32997, 8400, 645, 26439, 5699, 44704, 21804, 49259, 54148, 281, 7362, 39455, 645, 17821, 220, 17, 76, 5282, 275, 17907, 375, 9443, 645, 57330, 704, 25651, 5016, 32997, 8400, 645, 350, 2391, 265, 6308, 645, 709, 14010, 3128, 94514, 259, 5186, 8400, 645, 993, 71, 54840, 290, 28877, 1740, 28416, 2024, 1587, 39455, 3591, 74463, 62365, 5016, 32997, 370, 33425, 2185, 3078, 535, 3662, 267, 844, 59250, 27064, 13795, 567, 57072, 266, 1723, 331, 32997, 8400, 3591, 220, 17, 20, 3821, 993, 71, 54840, 908, 8400, 645, 24285, 57647, 61017, 5699, 610, 425, 30215, 21062, 14404, 331, 32997, 151643, 18, 35, 12, 8847, 24370, 2112, 72442, 55397, 432, 55318, 32708, 69820, 9299, 16389, 268, 11, 2994, 304, 91970, 39867, 2305, 872, 77, 31357, 26796, 76, 28122, 1389, 2305, 665, 18520, 92670, 268, 12583, 0, 38747, 5999, 13368, 760, 11753, 28063, 76, 988, 198, 18, 35, 12, 8847, 24370, 2112, 72442, 55397, 432, 55318, 32708, 69820, 9299, 16389, 268, 11, 2994, 304, 91970, 39867, 2305, 872, 77, 31357, 26796, 76, 28122, 1389, 2305, 665, 18520, 92670, 268, 12583, 0, 38747, 5999, 13368, 198, 641, 502, 2391, 968, 3667, 28831, 26109, 4368, 220, 18, 35, 12, 8847, 24370, 384, 40399, 61007, 11, 4443, 1147, 2636, 77, 88687, 1084, 7956, 798, 77, 6616, 55397, 6395, 2112, 1960, 28924, 268, 5451, 69820, 320, 34, 25582, 12, 16, 24, 8, 19767, 2746, 6252, 54377, 36108, 4368, 35363, 471, 6433, 468, 5428, 20175, 684, 8669, 7180, 707, 66362, 26796, 76, 28122, 1389, 2305, 665, 54831, 14047, 2429, 51292, 2694, 24209, 1775, 2185, 732, 91970, 268, 31551, 0, 8408, 14921, 17149, 908, 7698, 304, 1084, 55318, 8896, 2148, 98103, 11, 17790, 139554, 6395, 12643, 11, 2030, 5451, 50435, 37610, 268, 20048, 467, 79748, 1536, 2030, 1774, 76971, 86957, 19207, 70336, 7219, 6616, 63992, 312, 351, 16030, 11, 13368, 2746, 22318, 29937, 467, 10938, 77509, 624, 81761, 59785, 939, 502, 2391, 968, 15795, 2030, 58052, 289, 610, 6681, 268, 20004, 1323, 53152, 2694, 36974, 12, 16, 24, 11, 2694, 773, 625, 2956, 37592, 6772, 2030, 773, 13329, 344, 7219, 376, 266, 11, 43303, 2746, 84701, 91970, 39867, 2305, 872, 13368, 6616, 33282, 5059, 15843, 13129, 268, 31551, 8793, 304, 2694, 95506, 11, 2746, 537, 40231, 6433, 1774, 76971, 17739, 19929, 2305, 665, 13368, 26407, 457, 7180, 34749, 26796, 76, 28122, 1389, 2305, 665, 6395, 21454, 932, 11, 572, 4368, 36852, 57926, 1659, 47355, 13305, 416, 11002, 21062, 1003, 2576, 732, 70944, 69, 4116, 6616, 63573, 67, 20005, 63992, 624, 23711, 268, 8495, 10928, 25, 508, 9239, 60, 12741, 69820, 21477, 1307, 49494, 1847, 1944, 3161, 406, 0, 64894, 19294, 16111, 47553, 5451, 53936, 6250, 132149, 2185, 312, 2125, 268, 5267, 32617, 33282, 5059, 15843, 13129, 268, 31551, 28710, 665, 9089, 458, 9820, 94718, 665, 63678, 67051, 78663, 6591, 11, 2746, 10712, 82557, 355, 95905, 258, 2694, 40283, 35649, 28831, 2185, 15392, 1512, 1574, 1853, 425, 97512, 81331, 4116, 11, 4443, 2746, 92660, 36108, 12809, 53113, 2030, 220, 18, 35, 12, 8847, 1942, 4580, 50958, 16449, 724, 9167, 11366, 19944, 460, 39976, 6395, 66124, 13, 38747, 2148, 1020, 35951, 2030, 1531, 1197, 2685, 58052, 9820, 38383, 37610, 624, 17360, 26109, 31357, 28831, 47708, 40231, 295, 11, 2994, 6616, 73212, 58052, 14047, 17443, 40283, 35649, 18078, 20480, 36108, 220, 18, 35, 12, 8847, 1942, 388, 1741, 665, 11, 2694, 1640, 91970, 268, 31551, 3893, 85426, 12643, 64015, 11, 4443, 2746, 1353, 287, 408, 91304, 343, 1960, 468, 5428, 20175, 684, 457, 7180, 12304, 26796, 76, 28122, 1389, 2305, 665, 1059, 89, 590, 15671, 13, 23980, 4116, 9179, 49662, 83801, 80544, 2714, 832, 17917, 2030, 16034, 135972, 64015, 6616, 73212, 77016, 268, 5451, 17443, 220, 18, 35, 12, 8847, 24370, 35103, 4894, 53750, 22539, 73233, 8876, 2869, 580, 81543, 11, 2694, 57465, 39337, 4368, 40283, 13111, 35346, 56539, 15940, 10573, 261, 10712, 10928, 4368, 94468, 60905, 5999, 11, 33661, 6395, 31008, 4229, 48414, 22385, 2030, 1411, 84642, 59228, 72705, 2926, 24370, 9179, 49662, 83801, 80544, 14840, 1640, 33282, 5059, 15843, 13129, 268, 31551, 0, 8408, 4182, 768, 477, 61806, 2030, 2694, 2926, 1942, 2694, 468, 5428, 20175, 665, 457, 7180, 2746, 1333, 724, 344, 15897, 1937, 34162, 331, 16676, 53211, 55067, 25494, 58052, 2030, 5451, 66723, 336, 41663, 74063, 624, 50, 674, 4747, 2746, 220, 18, 35, 2371, 291, 81, 1942, 1960, 468, 5428, 20175, 684, 457, 9421, 455, 11855, 13920, 47650, 11, 43303, 2746, 28924, 268, 835, 6772, 70336, 5436, 82751, 13, 8408, 26796, 76, 28122, 1389, 2305, 665, 47650, 74191, 11, 4443, 28924, 268, 5451, 2429, 537, 40231, 6433, 328, 27097, 79956, 6395, 5436, 39563, 11, 22075, 9911, 8793, 304, 2694, 95506, 12583, 11, 34542, 47635, 343, 6395, 68312, 16030, 2030, 6395, 518, 5676, 13, 23980, 5999, 4622, 261, 41210, 13279, 18520, 17392, 69820, 7276, 32251, 268, 2694, 14785, 624, 47789, 5999, 4368, 37210, 68, 285, 67952, 11, 14948, 1084, 55318, 90039, 2694, 82745, 2694, 14921, 449, 77399, 13279, 220, 17, 19, 13, 22, 19, 22, 2030, 2694, 82745, 2694, 350, 2539, 142845, 13279, 220, 16, 13, 23, 15, 24, 9820, 6774, 440, 38934, 8896, 11, 34699, 6616, 69820, 6395, 59095, 1307, 30353, 13, 34181, 8051, 7019, 461, 11, 467, 61811, 82, 27918, 60905, 2694, 142485, 4270 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1728, 11, 85389, 25, 330, 65835, 8495, 304, 29181, 2174, 3591, 75130, 11, 5999, 2694, 19966, 12, 16, 24, 12, 2623, 13464, 25494, 91929, 267, 10040, 1514, 275, 27431, 6616, 63992, 1084, 55318, 566, 1892, 288, 32030, 8896, 11, 5999, 2746, 82745, 2694, 14921, 449, 77399, 6538, 12353, 6395, 12353, 12743, 645, 4370, 11, 2030, 90039, 2694, 3089, 615, 2185, 4087, 17917, 2746, 18747, 783, 7714, 82745, 2694, 14921, 449, 77399, 25531, 17790, 13329, 344, 458, 13, 21766, 92660, 9529, 266, 1524, 7001, 1609, 3591, 13368, 2429, 220, 18, 35, 12, 8847, 1942, 6538, 26407, 22837, 7180, 444, 2391, 723, 2185, 3563, 300, 331, 16676, 27298, 1531, 17790, 42722, 46621, 7180, 2746, 9167, 268, 13, 151643, 55063, 49882, 1174, 304, 1634, 331, 2649, 54385, 2073, 5999, 4368, 77775, 1330, 20542, 82, 30386, 17149, 2030, 9820, 422, 610, 5612, 440, 2694, 54092, 1634, 331, 2649, 54385, 2030, 939, 142407, 19289, 1330, 54092, 91818, 1634, 331, 2649, 54385, 384, 5058, 624, 18175, 54092, 1634, 331, 2649, 54385, 5999, 9820, 730, 9416, 31290, 20542, 939, 34037, 542, 306, 21673, 1032, 54327, 13, 8495, 14821, 5198, 85885, 19767, 3371, 51145, 65, 94858, 2660, 1571, 81097, 52639, 538, 624, 17360, 26109, 12304, 328, 1775, 69, 3145, 7219, 37285, 54081, 11, 2746, 431, 34966, 26612, 2030, 96382, 47635, 50499, 2694, 7416, 40308, 304, 3371, 73910, 665, 22837, 54548, 89, 590, 15671, 13, 3665, 29937, 91265, 12583, 3371, 76018, 8793, 9421, 89, 51078, 11567, 26824, 13, 8408, 54092, 1634, 331, 2649, 54385, 15719, 60637, 7180, 5016, 2305, 5183, 8793, 6386, 723, 2257, 69876, 12643, 11, 2746, 304, 76604, 20658, 5451, 2694, 6250, 66671, 31008, 91912, 665, 64857, 624, 48047, 1274, 41928, 9421, 3612, 19358, 6772, 11, 14948, 16111, 11, 44367, 96428, 66809, 13, 32936, 458, 1757, 1174, 3419, 32434, 331, 2649, 54385, 2285, 1274, 58791, 92172, 87040, 1962, 10453, 62785, 18069, 1489, 1854, 7219, 2746, 53899, 61806, 2030, 2746, 91912, 665, 2739, 2080, 465, 82276, 17630, 13, 3874, 49662, 1582, 12070, 16030, 16111, 6975, 12412, 1763, 9421, 3612, 19358, 6772, 6538, 50041, 758, 35505, 47808, 2739, 2080, 1960, 82276, 7219, 438, 331, 71378, 62452, 12646, 494, 5639, 424, 2285, 2030, 37896, 6975, 34749, 91912, 665, 8793, 6395, 28724, 13, 54068, 9740, 77131, 2185, 69499, 7180, 12304, 7219, 1757, 1174, 3419, 32434, 331, 2649, 54385, 2285, 32175, 1323, 53776, 25422, 624, 18175, 304, 1757, 1174, 3419, 32434, 331, 2649, 54385, 2285, 31100, 408, 33748, 38058, 631, 349, 3591, 2030, 2918, 68, 39307, 6616, 13821, 2030, 6982, 939, 60404, 267, 288, 12583, 4335, 383, 652, 47631, 6772, 25620, 28658, 11687, 2030, 141489, 28883, 13906, 1923, 7256, 93716, 12543, 2185, 2694, 54092, 387, 13536, 71, 28122, 41210, 2694, 1032, 331, 38240, 10573, 261, 8793, 6395, 38684, 10712, 15244, 6095, 13518, 83126, 40188, 74191, 12643, 13, 9726, 9433, 70439, 5999, 9820, 63318, 306, 20005, 467, 1122, 2375, 8229, 12385, 6250, 57396, 2185, 650, 89, 360, 2305, 778, 343, 13, 151643, 86528, 87554, 19529, 12583, 320, 64, 1387, 12222, 8, 42786, 760, 386, 23114, 953, 54, 7612, 1799, 198, 65835, 9089, 87727, 70449, 804, 13297, 73580, 9416, 2030, 18069, 1489, 1854, 9089, 932, 198, 54370, 136740, 14686, 268, 37896, 9089, 87727, 70449, 804, 13297, 7180, 6616, 9551, 650, 306, 1371, 4079, 6772, 13, 8408, 14686, 268, 312, 28324, 21982, 794, 12543, 28122, 2257, 20408, 14840, 16034, 14390, 14295, 95905, 7180, 37610, 2030, 88080, 13, 151643, 76335, 23455, 29974, 39393, 546, 1064, 6538, 22087, 6161, 1225, 14840, 43747, 37, 5583, 1365, 220, 17, 16, 71177, 1365, 663, 26833, 693, 23129, 198, 76335, 23455, 29974, 39393, 546, 1064, 6538, 22087, 6161, 1225, 14840, 43747, 37, 5583, 481, 220, 17, 16, 71177, 198, 96306, 25, 22087, 6161, 1225, 11, 16608, 10948, 40460, 11, 328, 3662, 355, 85, 62785, 9420, 2391, 12495, 11, 18888, 436, 4223, 5055, 28736, 11, 8012, 81, 32820, 11, 910, 15422, 11, 22417, 29643, 198, 80515, 91452, 69, 15113, 261, 431, 1241, 265, 1064, 50232, 3342, 8495, 54459, 19767, 6616, 93898, 11426, 29974, 66237, 13, 42079, 22087, 6161, 1225, 9421, 13785, 2746, 26832, 1466, 2780, 16034, 16608, 10948, 40460, 732, 77549, 5183, 11, 13785, 2746, 328, 3662, 355, 85, 62785, 131634, 12495, 14047, 4492, 585, 453, 35314, 458, 2746, 69252, 5342, 11, 13785, 6616, 422, 15554, 15337, 16034, 18888, 436, 4223, 5055, 28736, 2030, 5699, 83090, 17790, 304, 3371, 8012, 81, 32820, 11171, 573, 58267, 13, 9774, 22080, 93383, 31008, 1032, 1064, 293, 51865, 2746, 73689, 4223, 25061, 22417, 73794, 142845, 13, 8408, 15098, 16754, 16074, 63319, 12583, 293, 3850, 18747, 285, 13920, 11, 6538, 38805, 35323, 14840, 10890, 3969, 780, 13, 9740, 273, 7964, 8495, 6616, 11426, 29974, 66237, 11, 3371, 910, 15422, 5055, 28736, 2030, 2746, 22417, 143053, 304, 12222, 220, 17, 16, 350, 8535, 624, 11135, 77, 2694, 91452, 69, 15113, 66000, 1064, 29974, 66237, 1079, 2988, 7443, 67558, 304, 22087, 6161, 1225, 320, 3882, 2391, 709, 2030, 386, 3891, 86, 8535, 66238, 16111, 54064, 1494, 408, 458, 568, 38472, 61217, 98359, 2739, 1323, 27918, 8495, 54831, 304, 22087, 6161, 1225, 13, 2055, 20048, 8495, 9089, 15462, 48158, 468, 80587, 1942, 47708, 71378, 2030, 9089, 10928, 5451, 39771, 6250, 15897, 1937, 2185, 7180, 21506, 28129, 82, 4368, 33425, 268, 13, 49371, 77, 15938, 2185, 732, 80210, 26215, 7675, 5451, 2869, 21558, 135522, 198, 17, 13, 12353, 25, 22087, 6161, 1225, 1365, 26832, 1466, 2780, 320, 924, 13, 220, 17, 19, 20, 16017, 340, 75919, 2429, 2869, 21558, 135522, 39264, 1531, 48614, 304, 57123, 2185, 77549, 5183, 11, 305, 482, 258, 304, 2746, 26832, 1466, 2780, 19851, 39824, 2391, 5342, 13, 467, 355, 15795, 8495, 11, 14948, 9089, 26769, 13785, 220, 24, 140275, 65078, 20512, 41538, 8896, 30, 8495, 5999, 732, 51309, 54371, 17312, 29974, 579, 39771, 23103, 56539, 7272, 26956, 70487, 2030, 14821, 21982, 547, 10553, 22604, 2694, 5836, 26956, 2267, 406, 13, 49371, 77, 15938, 2185, 304, 2694, 1333, 84, 12907, 40454, 68154, 339, 1512, 43568, 5451, 19851, 17808, 2645, 198, 18, 1725, 19, 13, 12353, 25, 26832, 1466, 2780, 1365, 16608, 10948, 40460, 320, 924, 13, 220, 19, 18, 15, 16017, 340, 52491, 652, 6569, 295, 69891, 6161, 453, 11, 23738, 8495, 304, 2694, 137900, 3371, 64894, 9034, 58511, 52906, 9057, 44977, 20048, 11, 282, 21176, 8495, 48614, 6395, 77065, 59739 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 67, 6772, 15795, 794, 4775, 304, 29974, 66237, 25, 2429, 732, 966, 54834, 16608, 10948, 40460, 11, 294, 54913, 901, 2956, 7997, 1960, 40460, 2694, 44966, 13, 8408, 49279, 32030, 5999, 14840, 6395, 220, 20, 20, 15, 52539, 259, 4738, 2030, 71765, 14840, 6395, 220, 17, 22, 37888, 20408, 5282, 275, 13, 18372, 5679, 8495, 2746, 93688, 19875, 40462, 71177, 7180, 38257, 622, 285, 265, 12063, 68885, 11595, 11, 12385, 20004, 1489, 2391, 709, 304, 2746, 387, 4360, 29870, 42341, 23334, 92135, 13, 220, 17, 49371, 77, 15938, 11595, 732, 40460, 9536, 7675, 5451, 2869, 21558, 135522, 198, 20, 13, 12353, 25, 16608, 10948, 40460, 1365, 350, 50085, 652, 709, 320, 924, 13, 220, 18, 22, 15, 16017, 340, 50855, 282, 21176, 21982, 40460, 48614, 304, 308, 2956, 6498, 50095, 57123, 2185, 17312, 75077, 90935, 16629, 13, 96943, 8486, 1859, 70667, 16111, 15462, 3680, 267, 4737, 261, 17312, 12812, 1070, 26875, 541, 27604, 35369, 13, 54068, 81616, 295, 9089, 304, 2694, 137900, 939, 12812, 1070, 794, 3454, 288, 2030, 60729, 38574, 273, 32929, 2956, 265, 2030, 85729, 16034, 3566, 16030, 2030, 51134, 13, 18069, 16449, 579, 32708, 50583, 5999, 54548, 6772, 4368, 9057, 14184, 288, 9240, 42306, 0, 1527, 21062, 56400, 408, 39264, 1531, 9710, 20005, 57123, 2185, 30632, 14840, 14047, 20004, 13, 38747, 304, 2694, 17152, 15719, 883, 42046, 13630, 79, 802, 450, 387, 674, 53776, 13, 49371, 77, 15938, 2185, 304, 2694, 29974, 83, 579, 42186, 43568, 5451, 2869, 21558, 135522, 198, 21, 13, 12353, 25, 350, 50085, 652, 709, 1365, 62927, 461, 336, 320, 924, 13, 220, 17, 20, 15, 16017, 340, 1519, 1070, 39264, 1531, 30632, 14047, 62927, 461, 336, 304, 3371, 29974, 579, 451, 2863, 74, 9835, 723, 5055, 28736, 13, 38472, 15098, 16754, 60730, 63940, 4368, 35363, 471, 343, 54831, 732, 5055, 28736, 2030, 47708, 2649, 83, 43860, 773, 2746, 289, 7995, 54102, 4229, 48414, 22385, 1079, 90935, 386, 39563, 17790, 13906, 11840, 77, 7157, 1704, 46014, 6395, 3371, 131634, 12495, 6395, 1191, 268, 13, 220, 17, 49371, 77, 15938, 11595, 732, 42186, 13222, 72337, 5451, 19851, 17808, 2645, 198, 3479, 268, 8495, 134303, 296, 1775, 724, 6395, 3371, 10207, 21558, 76, 1960, 131634, 12495, 6538, 328, 3662, 355, 85, 62785, 13, 25714, 2746, 131634, 811, 220, 19, 20, 20048, 8495, 71765, 305, 2210, 84, 1489, 64, 28421, 2030, 9089, 3371, 11840, 77, 7157, 1704, 46014, 2030, 6616, 40870, 4368, 1923, 94873, 10938, 13452, 55874, 44236, 2694, 732, 966, 54834, 8677, 126427, 12495, 6538, 17058, 4368, 35363, 471, 6433, 20465, 78881, 533, 458, 65423, 13, 1527, 21062, 56400, 408, 74453, 8495, 17790, 6395, 3371, 328, 3662, 355, 85, 62785, 131634, 12495, 2030, 2429, 15021, 647, 62785, 30632, 96922, 13, 38747, 8486, 69, 645, 71, 4832, 9089, 9820, 27684, 50753, 665, 14644, 19767, 2746, 131634, 12495, 13, 49371, 77, 15938, 2185, 13368, 1079, 647, 371, 351, 624, 23, 1725, 24, 13, 12353, 25, 4492, 585, 453, 35314, 198, 50855, 2739, 70489, 2746, 131634, 12495, 11, 4443, 7219, 75077, 1032, 1064, 14840, 14047, 4492, 585, 453, 35314, 6395, 282, 21176, 13, 23980, 261, 44340, 60729, 9820, 11401, 301, 46728, 458, 20004, 1489, 768, 3563, 2956, 28494, 51707, 458, 13, 8495, 20048, 16034, 468, 16676, 20004, 1489, 2391, 709, 7219, 2429, 73794, 37896, 320, 89, 1785, 13, 17363, 15554, 276, 69, 1466, 3342, 8, 12385, 16034, 362, 900, 268, 304, 2746, 467, 2391, 5342, 320, 89, 1785, 13, 5451, 2429, 38018, 568, 220, 17, 49371, 77, 15938, 11595, 732, 29974, 579, 26215, 7675, 5451, 2869, 21558, 135522, 198, 16, 15, 13, 12353, 25, 4492, 585, 453, 35314, 1365, 422, 15554, 15337, 320, 924, 13, 220, 18, 17, 15, 16017, 340, 75919, 27431, 8495, 2746, 69252, 5342, 26252, 57123, 2185, 758, 1933, 2739, 70489, 17630, 11, 39264, 1531, 1079, 566, 332, 6433, 12353, 304, 6616, 422, 15554, 15337, 304, 2746, 53558, 20915, 12010, 87045, 13, 23980, 288, 44336, 3891, 2739, 30166, 5178, 13785, 9820, 83141, 383, 458, 3893, 1609, 17739, 1345, 71, 724, 86, 5186, 44861, 51707, 11, 13368, 3371, 16430, 7725, 11, 2746, 647, 5137, 10561, 573, 375, 12385, 11753, 88, 69, 490, 52277, 258, 11, 4443, 12222, 63620, 6395, 308, 40193, 13, 49371, 77, 15938, 2185, 732, 11753, 88, 69, 490, 52277, 258, 12325, 295, 552, 9512, 5451, 19851, 17808, 2645, 198, 16, 16, 1725, 16, 17, 13, 12353, 25, 422, 15554, 15337, 1365, 18888, 436, 4223, 5055, 28736, 77549, 450, 632, 320, 924, 13, 220, 17, 15, 15, 16017, 340, 49, 4865, 2185, 4371, 7305, 50232, 3342, 8495, 2746, 566, 332, 7256, 18888, 33431, 75077, 91452, 69, 15113, 261, 431, 1241, 265, 1064, 29974, 66237, 13, 8495, 12643, 2746, 90935, 69791, 71177, 732, 50872, 73, 10524, 28761, 9512, 2739, 1323, 27918, 13, 42079, 52434, 20048, 8495, 3371, 77549, 450, 287, 524, 939, 18888, 436, 4223, 5055, 79, 7193, 17859, 55449, 28324, 320, 924, 13, 220, 18, 15, 16017, 568, 38472, 15098, 16754, 60730, 60729, 10928, 27684, 50753, 665, 56795, 1440, 16034, 18888, 436, 4223, 2030, 434, 50753, 11595, 7219, 2694, 18438, 458, 13, 220, 17, 49371, 77, 15938, 11595, 304, 2694, 18888, 436, 4223, 39378, 350, 9267, 2780, 43568, 5451, 2869, 21558, 135522, 198, 16, 18, 13, 12353, 25, 18888, 436, 4223, 137256, 61065, 1365, 65435, 61065, 320, 924, 13, 220, 17, 15, 15, 16017, 340, 81761, 75077, 1032, 1064, 19767, 29974, 66237, 282, 21176, 8495, 48614, 29134, 19767, 3371, 18888, 436, 4223, 5055, 28736, 6395, 17443, 73824, 21673, 9063, 25238, 11, 23738, 8495, 17790, 4368, 98359, 2739, 1323, 27918, 12643, 13, 29974, 332, 20783, 8896, 10928, 9820, 70056, 32030, 7714, 73794, 267, 6712, 11, 23738, 8495, 2746, 4229, 48414, 22385, 17630, 11, 10928, 14047, 2576, 2746, 350, 18849, 6395, 387, 674, 53776, 13, 49371, 77, 15938, 2185, 732, 506, 968, 13416, 14079, 9512, 5451, 2869, 21558, 135522, 198, 16, 19, 13, 12353, 25, 18888, 436, 4223, 65435, 61065, 1365, 431, 1241, 84, 320, 924, 13, 220, 19, 18, 15, 16017, 340, 50855, 2739, 70489, 2746, 18888, 436, 4223, 479, 87045, 14047, 29181, 14012, 2030, 282, 21176, 14840, 14047, 431, 1241, 84, 13, 54068, 53555, 54092, 63940, 1079, 468, 287, 524, 16034, 8012, 81, 32820, 39620, 265, 55339, 13, 431, 1241, 84, 63940, 1079, 547, 802, 939, 2988, 82872 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 11, 13368, 8486, 1859, 70667, 14047, 23692, 2032, 17790, 9820, 91896, 11, 36852, 848, 23446, 15004, 267, 413, 6395, 21506, 37060, 13, 49371, 77, 15938, 2185, 304, 2694, 71298, 810, 76, 1371, 10948, 43568, 5451, 2869, 21558, 135522, 198, 16, 20, 13, 12353, 25, 431, 1241, 84, 1365, 8765, 1241, 84, 320, 924, 13, 220, 17, 15, 15, 16017, 340, 81761, 2429, 350, 1134, 14906, 76, 54383, 2746, 73507, 3342, 19767, 3371, 8012, 81, 32820, 35672, 55339, 13, 3303, 77356, 371, 54383, 4368, 18078, 1387, 2694, 10254, 64, 29643, 7219, 2429, 73910, 13, 9236, 1424, 3818, 9089, 49536, 85725, 83801, 4443, 73794, 142845, 10712, 4443, 92603, 82, 2125, 15671, 13, 12741, 7622, 402, 5170, 10948, 19767, 1323, 4865, 4368, 220, 19, 52539, 305, 2267, 288, 434, 41145, 81, 3092, 304, 72440, 2988, 1854, 90957, 11, 6616, 458, 31008, 794, 6712, 18520, 10712, 15462, 37888, 20408, 5282, 275, 5999, 13, 49371, 77, 15938, 2185, 304, 2694, 72091, 94417, 10948, 43568, 5451, 2869, 21558, 135522, 198, 16, 21, 1725, 16, 22, 13, 12353, 25, 8765, 1241, 84, 1365, 34037, 267, 50095, 8012, 81, 32820, 35672, 55339, 320, 924, 13, 220, 17, 18, 15, 16017, 340, 39726, 44977, 8495, 7219, 2694, 566, 332, 6433, 73507, 3342, 3371, 64362, 4883, 4050, 5540, 11, 2694, 47355, 939, 425, 86, 370, 86, 459, 5055, 79, 7193, 5999, 320, 77, 324, 5451, 44382, 21545, 365, 8535, 56946, 15113, 2257, 568, 38747, 141489, 8495, 9089, 88628, 265, 12063, 32274, 79, 802, 450, 11, 730, 53561, 347, 457, 11, 25949, 69, 54834, 2030, 68557, 542, 301, 3457, 10316, 13, 9774, 54936, 14668, 12353, 2739, 1323, 27918, 8495, 304, 2694, 15098, 16754, 60730, 11, 23738, 8495, 54548, 6772, 10928, 458, 88687, 49096, 344, 64321, 1960, 77414, 37060, 20048, 13, 220, 17, 49371, 77, 15938, 11595, 304, 2694, 29974, 1116, 30443, 10948, 43568, 5451, 2869, 21558, 135522, 198, 16, 23, 1725, 16, 24, 13, 12353, 25, 34037, 267, 50095, 8012, 81, 32820, 35672, 55339, 1365, 910, 15422, 5055, 28736, 320, 924, 13, 220, 17, 15, 15, 16017, 340, 40, 4079, 566, 332, 51663, 77356, 81616, 295, 9089, 4317, 383, 2694, 38124, 2986, 6395, 23007, 93710, 1079, 910, 15422, 10948, 13, 35783, 566, 332, 51663, 77356, 81616, 295, 9089, 4317, 383, 2694, 38124, 2986, 6395, 23007, 93710, 1079, 910, 15422, 10948, 13, 8495, 282, 21176, 14047, 37542, 2145, 11, 23738, 8495, 1079, 2988, 7443, 67558, 3371, 386, 3891, 86, 8535, 668, 42316, 2030, 12643, 93644, 56400, 408, 17312, 15098, 16754, 60730, 3893, 85426, 13, 86417, 85117, 82195, 406, 81616, 295, 9089, 2694, 55248, 12400, 7256, 910, 15422, 5055, 28736, 11, 2694, 13785, 2746, 72170, 74539, 665, 25949, 60727, 408, 37347, 304, 12907, 40454, 2739, 30166, 5178, 13, 15017, 48985, 305, 2210, 355, 8896, 883, 62702, 910, 1129, 268, 56381, 68557, 542, 301, 1923, 5183, 2030, 71765, 2746, 11806, 1960, 268, 393, 802, 450, 12, 2030, 431, 676, 25121, 321, 2508, 6395, 387, 674, 53776, 13, 220, 17, 49371, 77, 15938, 11595, 732, 576, 10621, 4678, 5451, 96382, 79, 2645, 609, 49096, 344, 64321, 1960, 198, 17, 15, 13, 12353, 25, 910, 15422, 5055, 28736, 1365, 22417, 29643, 320, 924, 13, 220, 16, 19, 15, 16017, 340, 1519, 1070, 39264, 1531, 817, 23200, 17312, 38124, 2986, 14047, 51220, 13, 28275, 9740, 832, 42603, 2694, 38124, 89, 627, 278, 64321, 1960, 55449, 28324, 8495, 22417, 29643, 2030, 38472, 49765, 665, 15098, 16754, 60730, 13, 3303, 28275, 23692, 351, 17630, 8495, 17790, 28831, 11, 2746, 37228, 80587, 1942, 19875, 73794, 142845, 6395, 9057, 44977, 13, 49371, 77, 15938, 2185, 304, 2694, 9154, 7714, 26215, 43568, 5451, 2869, 21558, 135522, 198, 1519, 1070, 39264, 1531, 5451, 17443, 30632, 268, 23200, 16034, 2988, 7443, 67558, 13, 8495, 47332, 2032, 16034, 2988, 7443, 67558, 11, 56500, 70836, 386, 3891, 86, 8535, 668, 2030, 1320, 645, 4370, 49503, 14047, 472, 3454, 320, 70, 932, 66238, 16111, 43860, 1494, 10938, 2988, 2391, 709, 5451, 458, 568, 51292, 31008, 91452, 69, 15113, 261, 431, 1241, 265, 1064, 29974, 66237, 13, 151643, 641, 2694, 38868, 17405, 4443, 6616, 19321, 377, 1933, 57086, 73, 17149, 1079, 4248, 2768, 24927, 17630, 304, 3371, 66968, 69713, 16449, 71, 2577, 665, 425, 823, 5186, 31151, 261, 17058, 41130, 15671, 2823, 71832, 2185, 5451, 28831, 2185, 3563, 783, 11595, 2030, 17443, 1007, 33370, 36518, 458, 3371, 3184, 1268, 19875, 136458, 2660, 1571, 7219, 38472, 12380, 7219, 1174, 91647, 69876, 13, 96943, 595, 36990, 16030, 2746, 425, 823, 5186, 31151, 261, 13906, 50041, 422, 27918, 6616, 13517, 354, 10559, 468, 94213, 2185, 16892, 695, 939, 9740, 4382, 2185, 6860, 288, 5451, 5016, 11855, 2493, 7865, 6222, 813, 13518, 11, 45975, 86, 32612, 65, 60127, 2030, 56255, 811, 69, 39620, 21545, 268, 11, 6616, 9421, 54649, 328, 4865, 773, 77158, 38130, 13368, 50837, 387, 54081, 12643, 35141, 13, 43997, 24929, 17790, 6616, 14835, 44, 11509, 939, 26832, 1960, 730, 82491, 288, 50686, 13785, 20624, 268, 23388, 54749, 2030, 59228, 31397, 850, 431, 1743, 730, 3433, 440, 304, 17443, 50201, 939, 12353, 433, 20283, 28852, 21982, 220, 17, 19, 13, 15, 23, 13, 17, 15, 16, 23, 5451, 2694, 30512, 1902, 82850, 14835, 42, 3433, 12556, 70944, 69, 4443, 6616, 16328, 1079, 4248, 2768, 24927, 2073, 9421, 72313, 6772, 10207, 89730, 14821, 11, 29167, 2717, 14821, 11, 15719, 9089, 19846, 14047, 59330, 2185, 2694, 425, 823, 5186, 31151, 261, 40157, 12222, 2770, 19358, 6772, 5699, 14033, 5679, 11, 6616, 4368, 75712, 26769, 14835, 623, 25720, 628, 89, 6691, 39470, 2073, 13785, 56751, 2501, 2030, 2694, 54092, 15462, 47669, 50008, 6237, 71832, 41852, 529, 624, 83953, 50435, 32050, 1626, 28421, 14821, 85725, 83769, 5566, 65078, 2024, 54081, 11, 14948, 8793, 12222, 12789, 552, 13920, 20005, 472, 5186, 5183, 6395, 13785, 19154, 268, 12583, 11, 51290, 2694, 14835, 261, 73411, 13820, 29618, 5197, 2185, 16892, 485, 713, 79374, 135786, 71960, 18982, 135786, 21982, 11426, 288, 5183, 74, 14649, 35225, 732, 2869, 21558, 73, 15113, 220, 17, 15, 16, 23, 304, 2746, 9774, 16017, 541, 16776, 48376, 295, 56364, 26109, 13, 8408, 1527, 87227, 11595, 939, 9774, 16017, 1127, 331, 332, 31793, 12583, 732, 17859, 610, 465, 21673, 78765, 19985, 4101, 939, 11426, 288, 5183, 74, 14649, 309, 2338, 21982, 220, 15, 21, 13, 15, 21, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 17, 15, 16, 23, 14047, 89, 2425, 268, 11, 2694, 304, 2694, 8031, 26485, 14835, 83956, 1528, 84, 529, 11, 68336, 1199, 13920, 11, 37801, 38809, 2073, 2694, 19846, 261, 28831, 2185, 141871, 26109, 624, 35, 395, 13279, 77742, 306, 21188, 75, 11595, 2694, 9774, 16017, 1127, 331, 32997, 5699, 37633, 28129, 5222, 13601, 529, 14821, 11, 70251, 396, 25531, 18520, 304, 14562, 6395, 58065, 13, 2055, 56945, 61606, 23446, 15928, 24803, 6616, 10928, 10712, 14835, 53750, 87818, 86, 573, 375, 2073, 387, 85740, 68, 18069, 87818, 5183, 74, 14649, 7219, 2429, 3371, 74, 14649, 45061, 28658, 89, 1960, 328, 1176, 301, 939, 98877, 1923, 268, 66965, 13002, 321, 51899, 11250, 1663, 5183, 16017, 1127, 1848, 28698, 11, 1508, 1126, 17958, 6538, 82276, 939, 9774, 16017, 1127, 331, 332, 31793, 28086, 304, 220, 17, 15, 16, 20, 27959, 1268, 10938, 13093, 268, 2712, 6454, 336, 783, 295, 47650, 13, 55448, 2694, 3680, 461, 7997, 2694, 8793, 3371, 74, 14649, 45061, 28658, 89, 1960, 11, 55248, 1126, 17958, 293, 2863, 43441, 16053, 289, 529, 85, 32289, 730, 661, 8666, 65006, 962, 5999, 47226, 29413, 6772, 53211, 5178, 11, 28883, 14948, 9089, 2694, 3184, 1268, 10938, 136458, 2660, 1571, 2030, 3739, 278, 7256, 730, 494, 1723, 268, 850, 7937, 98918, 5451, 47808, 64560, 7180, 3371, 9740, 39416, 2694, 37471, 384, 40399, 61007, 8896, 13, 3303, 730, 661, 8666, 293, 2717, 37699, 4368, 77742, 306, 21188, 1536, 7180, 9820, 66983, 939, 19929, 4865, 82, 776, 89, 64870, 83758, 282, 395, 54102, 26369, 8858, 34298, 434, 44011, 11, 2694, 732, 4929, 66075, 2694, 6250, 10661, 75, 11595, 32175, 6331, 268, 8896, 11, 1147, 10110, 4979, 17058, 425, 21558, 811, 732, 65503, 939, 4182, 392, 2863, 1117, 3096, 642, 9820, 38383, 31380, 267, 14033, 665, 74227, 324, 28698, 13, 45481, 23273, 1353, 25423, 83, 9089, 12412, 2694, 468, 80587, 1942, 7219, 11, 14948, 2739, 52015, 6772, 14410, 713, 13820, 730, 10523, 258, 36702, 11595, 94505, 72101, 83, 304, 2988, 2305, 7522, 32175, 539, 4711, 12643, 11, 2746, 13279, 17058, 22539, 40499, 21673, 29247, 3891, 2185, 50041, 32595, 62411, 10938, 377, 408, 10712, 84758, 1489, 2305, 7522, 12385, 350, 4738, 12164, 8535, 39620, 613, 142454, 32175, 6331, 268, 12643, 41762, 42469, 13, 2055, 11372, 16030, 2746, 12748, 23647, 1079, 4248, 2768, 24927, 55248, 54936, 333, 610, 11, 304, 2429, 8495, 7180, 2746, 2162, 13, 220, 17, 15, 15, 15, 296, 17, 16328, 135266, 732, 65503, 2162, 13, 220, 17, 17, 4999, 19461, 3183, 17, 730, 3145, 76, 66860, 6538, 17443, 13785, 11855, 68896, 268, 20740, 1404, 57984, 2030, 136249, 2746, 6785, 20004, 495, 16722, 2185, 6538, 730, 10523, 258, 36702, 11595, 7180, 38472, 15577, 371, 6566, 83592, 77919, 20048, 624, 32, 652, 28095, 49503, 16034, 9774, 16017, 1127, 331, 32997, 1079, 4248, 2768, 24927, 510, 17360, 5999, 7180, 23273, 9820, 282, 459, 273, 730, 2855, 2554, 9421, 3874, 2245, 23318, 2030, 19929, 819, 331, 14033, 38132, 11, 14948, 90039, 2694, 6395, 36115, 4081, 276, 42469, 23995, 19488, 12, 3430, 13090, 24619, 14835, 53750, 87818, 86, 573, 375, 2073, 2030, 14835, 42, 661, 8666, 7671, 21558, 12495, 2073, 10928, 13279, 2694, 4182, 30429, 454, 10715, 2185, 1079, 4248, 2768, 24927, 2694, 9774, 16017, 1127, 331, 32997, 21506, 2694, 431, 2305, 1107, 51528, 11, 52507, 2694, 19846, 261, 5363, 266, 2030, 2746, 1147, 590, 21545, 6433, 5363, 1862, 423, 86, 3145, 11595, 1007, 724, 4865, 6772, 10246, 652, 17443, 6095, 13518, 75712, 6395, 60404, 15795, 12583, 11, 10712, 5451, 2694, 60423, 746, 38132, 6538, 9774, 16017, 1127, 331, 32997, 6691, 84, 1489, 8535, 2746, 14835, 71832, 43441, 10559, 15552, 2073, 6538, 19846, 6395, 9089, 932, 13, 23980, 288, 21506, 312, 54327, 20491, 266, 21673, 20404, 4865, 2154, 3122, 1960, 54936, 333, 301, 71, 2577, 665, 6250, 35505, 73741, 9089, 10928, 15269, 276, 18859, 76, 45699, 11, 14948, 9089, 2694, 11426, 288, 5183, 74, 14649, 17606, 304, 17443, 5016, 60322, 21982, 220, 17, 22, 13, 15, 19, 13, 17, 15, 16, 23, 41852, 54594, 8896, 11, 14948, 2714, 304, 6616, 1187, 1704, 10938, 9680, 28122, 423, 96922, 34368, 6395, 17443, 28831, 71865, 4368, 143213, 11706, 26109, 11, 10712, 19767, 3371, 28086, 36077, 1147, 12303, 50958, 26659, 315, 8829, 47143, 90796, 7256, 1634, 375, 40951, 939, 42952, 1225, 2338, 47226, 5363, 266, 2030, 2429, 75712, 19321, 377, 1933, 18859, 709, 89, 324, 3342, 43303, 624, 2304, 1776, 39264, 5451, 11426, 66819, 2382, 648, 850, 8459, 13, 2926, 13, 619, 2956, 1984, 11443, 47524, 11, 2694, 6395, 18597, 77, 939, 136458, 65, 7714, 73276, 28122, 423, 96922, 82, 53383, 5451, 2694, 9494, 632, 5840, 258, 42712, 6569, 321, 71, 9683, 2030, 2429, 98877, 1923, 268, 730, 494, 1723, 268, 850, 11108, 434, 5623, 75, 274, 1762, 1859, 730, 1003, 1579, 1079, 9680, 28122, 423, 96922, 3893, 2391, 12755, 42668, 11, 17058, 2694, 65733, 15795, 425, 823, 5186, 31151, 261, 17058, 2755, 6128, 24774, 2030, 3371, 74, 14649, 87027, 42888, 92979, 939, 77748, 73411, 61606, 42469, 9740, 4382, 2185, 6860, 288, 304, 3371, 27914, 383, 2685, 624, 32, 1387, 22075, 2746, 136458, 34711, 2030, 136458, 2694, 54092, 12222, 69987, 18069, 1489, 1854, 7219, 6250, 86, 3145, 28122, 423, 96922, 17630, 11, 74453, 9911, 9089, 732, 89507, 2694, 63318, 306, 21673, 20004, 1937, 2185, 939, 2823, 71832, 28122, 78524, 220, 16, 12, 24, 23, 5451, 50837, 267, 68042, 11, 304, 39416, 6772, 1745, 268, 8345, 50958, 794, 82017, 38130, 5676, 1274, 58791, 6433, 11, 304, 69507, 9911, 7219, 2746, 6454, 336, 433, 1952, 8907, 2391, 14553, 34966, 2185, 3371, 74, 14649, 15897, 273, 1389, 32708, 7828, 844, 51721, 896, 23129, 74453, 13, 29643, 2746, 3371, 74, 14649, 47631, 21673, 7828, 844, 8793, 9421, 40334, 408, 10207, 2391, 14553, 4865, 17917, 12643, 11, 20048, 2746, 61169, 21673, 93403, 57926, 11595, 732, 89507, 17058, 20317, 268, 39720, 1100, 10561, 424, 17058, 17239, 4865, 21673, 2340, 2391, 78606, 21506, 89, 11706, 12643, 624, 16, 18, 13, 6122, 220, 17, 15, 16, 23, 608, 15, 67489, 546, 5457, 263, 51671, 13481, 47772, 74, 198, 30124, 13363, 86, 16568, 25, 4248, 2768, 24927, 11, 9774, 16017, 1127, 331, 32997, 11, 619, 2956, 1984, 11443, 47524, 11, 7937, 98918, 11, 42712, 6569, 321, 71, 9683, 11, 19321, 377, 1933, 198, 53750, 52015, 1013 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 22837, 198, 6639, 22837, 7219, 5573, 198, 6639, 22837, 7219, 6271, 198, 81761, 5085, 10, 1013, 22837, 198, 6639, 22837, 7219, 25051, 198, 6639, 22837, 7219, 91939, 198, 6639, 22837, 7219, 43599, 198, 6639, 22837, 7219, 32656, 198, 6639, 22837, 7219, 26630, 198, 3889, 468, 37513, 1013, 22837, 198, 2428, 1110, 69134, 1762, 11567, 261, 35505, 2285, 30746, 6808, 29581, 14, 17, 15, 16, 23, 14, 15, 23, 11295, 4872, 62, 4395, 62, 16, 13925, 84, 3508, 220, 16, 16, 23, 17, 220, 16, 16, 23, 17, 51671, 13481, 47772, 74, 3703, 1110, 69134, 1762, 11567, 261, 35505, 2285, 30746, 6808, 29581, 14, 17, 15, 16, 23, 14, 15, 23, 14, 27583, 36322, 268, 62, 17, 12, 18, 15, 15, 87, 16, 18, 17, 3508, 51671, 13481, 47772, 74, 17, 15, 16, 23, 12, 15, 24, 12, 16, 18, 220, 16, 24, 25, 15, 23, 25, 17, 20, 17, 15, 16, 23, 12, 16, 17, 12, 16, 21, 220, 16, 21, 25, 20, 17, 25, 18, 19, 30124, 75, 1854, 5451, 2694, 19929, 819, 331, 14033, 38132, 939, 9774, 16017, 1127, 331, 332, 31793, 58062, 32617, 67594, 97703, 10928, 39353, 16030, 198, 92688, 24927, 481, 18069, 16328, 939, 26832, 1960, 730, 82491, 82, 87231, 3371, 9740, 4382, 2185, 6860, 8793, 41852, 30875, 6433, 198, 5668, 433, 20283, 28852, 220, 17, 23, 13, 6156, 220, 17, 15, 16, 23, 198, 38279, 61798, 28831, 2185, 220, 15, 20, 13, 16, 15, 13, 17, 15, 16, 23, 198, 38279, 61798, 28831, 2185, 220, 16, 18, 13, 16, 16, 13, 17, 15, 16, 24, 198, 38279, 61798, 386, 39563, 2203, 220, 17, 20, 13, 15, 21, 13, 17, 15, 17, 15, 198, 38279, 61798, 386, 39563, 2203, 220, 16, 16, 13, 16, 16, 13, 17, 15, 16, 24, 198, 38279, 61798, 386, 39563, 2203, 220, 15, 16, 13, 15, 17, 13, 17, 15, 16, 24, 198, 5668, 433, 20283, 28852, 220, 17, 23, 13, 16, 16, 13, 17, 15, 16, 23, 198, 15, 67489, 546, 198, 1912, 258, 67489, 277, 198, 2082, 38868, 17405, 1274, 58791, 6433, 5267, 39, 2245, 75, 13256, 6975, 1581, 16676, 67489, 277, 4894, 30124, 265, 23549, 15462, 67489, 277, 95817, 668, 20512, 7522, 198, 1912, 482, 468, 37513, 12, 67777, 14821, 8793, 141871, 13, 41663, 1358, 20005, 49753, 261, 12583, 5451, 353, 1868, 17029, 198, 82043, 478, 277, 1213, 675, 1213, 36, 37513, 1213, 30051, 198, 34, 25431, 198, 23, 488, 220, 17, 4035, 42, 7593, 3591, 198, 26700, 320, 16, 20, 340, 5886, 288, 20283, 28852, 320, 21, 24, 340, 20043, 2955, 220, 17, 15, 17, 16, 481, 4248, 2768, 72628, 19462, 35505, 2285, 198, 42, 544, 9913, 198, 45696, 46745, 32997, 198, 25216, 673, 372, 198, 33, 13, 1863, 13, 220, 16, 17, 13, 15, 24, 13, 17, 15, 16, 23, 14835, 18, 80624, 4248, 2768, 2073, 1365, 8408, 9494, 632, 74, 1960, 74, 66599, 44628, 529, 6395, 9338, 75919, 89005, 9059, 268, 198, 48047, 77919, 25994, 7219, 44160, 16023, 13, 18069, 7256, 6538, 74021, 12583, 94655, 8345, 613, 11, 66983, 32936, 6975, 82197, 11, 26769, 16023, 2030, 38472, 41663, 65224, 6395, 98038, 932, 13, 43997, 8495, 21506, 220, 16, 21, 48015, 4797, 12583, 2030, 38472, 93716, 12543, 2185, 6395, 83423, 14387, 6433, 60404, 15795, 56500, 85970, 11, 47827, 8495, 38472, 9740, 74991, 16892, 485, 13920, 343, 1960, 4443, 80834, 43506, 25151, 77449, 13, 34903, 79551, 25994, 2030, 32936, 7001, 1609, 3591, 7219, 44160, 16023, 13, 18069, 7256, 6538, 74021, 12583, 94655, 8345, 613, 11, 66983, 32936, 6975, 82197, 11, 26769, 16023, 2030, 38472, 41663, 65224, 6395, 98038, 932, 13, 87040, 143213, 33124, 46954, 20048, 2739, 59908, 295, 12643, 320, 89, 13, 425, 13, 6790, 12, 2589, 673, 268, 701, 1147, 13, 425, 13, 7180, 4345, 13229, 13820, 1527, 44919, 2030, 91912, 665, 12385, 1527, 44919, 12, 2030, 91912, 2576, 49746, 2185, 13, 1205, 41846, 48842, 13785, 2746, 6250, 66671, 75077, 46954, 35103, 8495, 304, 44160, 91741, 59522, 77131, 2185, 13, 8495, 20048, 38472, 95830, 55928, 29413, 21506, 468, 6308, 76213, 9724, 615, 28421, 12385, 458, 6385, 268, 624, 45696, 46745, 332, 2986, 6308, 76213, 198, 37438, 268, 8345, 613, 198, 15878, 380, 36433, 198, 840, 465, 811, 3264, 3591, 198, 70451, 17324, 54749, 16030, 198, 19719, 88581, 198, 1425, 63923, 29937, 91741, 332, 2986, 6308, 76213, 198, 20616, 12, 7799, 91741, 59522, 77131, 2185, 96783, 372, 198, 45696, 46745, 332, 2986, 6308, 76213, 198, 70194, 8495, 21506, 220, 16, 21, 48015, 4797, 12583, 2030, 38472, 93716, 12543, 2185, 6395, 83423, 14387, 6433, 60404, 15795, 56500, 85970, 11, 47827, 8495, 38472, 9740, 74991, 16892, 485, 13920, 343, 1960, 4443, 80834, 43506, 25151, 77449, 13, 34903, 79551, 25994, 2030, 32936, 7001, 1609, 3591, 7219, 44160, 16023, 13, 18069, 7256, 6538, 74021, 12583, 94655, 8345, 613, 11, 66983, 32936, 6975, 82197, 11, 26769, 16023, 2030, 38472, 41663, 65224, 6395, 98038, 932, 13, 87040, 143213, 33124, 46954, 20048, 2739, 59908, 295, 12643, 320, 89, 13, 425, 13, 6790, 12, 2589, 673, 268, 701, 1147, 13, 425, 13, 7180, 4345, 13229, 13820, 1527, 44919, 2030, 91912, 665, 12385, 1527, 44919, 12, 2030, 91912, 2576, 49746, 2185, 13, 1205, 41846, 48842, 13785, 2746, 6250, 66671, 75077, 46954, 35103, 8495, 304, 44160, 91741, 59522, 77131, 2185, 13, 38747, 35103, 8495, 9820, 30512, 1902, 4865, 13785, 12304, 31100, 408, 33748, 25994, 13, 8495, 20048, 38472, 18069, 14387, 42603, 6395, 24851, 5679, 730, 7593, 3591, 56500, 12385, 9089, 61550, 48842, 83797, 47008, 2030, 773, 12222, 94718, 665, 25994, 9421, 86, 85242, 624, 70451, 17324, 54749, 16030, 12307, 88581, 198, 57, 324, 19358, 198, 45696, 46745, 332, 2986, 6308, 76213, 198, 37438, 268, 8345, 613, 320, 16, 340, 37438, 268, 8345, 6712, 25994, 97035, 21673, 93434, 1937, 10938, 71065, 268, 2030, 12583, 7180, 2746, 4368, 79810, 24716, 645, 71065, 2694, 16023, 36408, 1358, 6772, 624, 20616, 12, 14873, 268, 83797, 24356, 12, 14873, 268, 9421, 2024, 19875, 198, 675, 198, 33, 269, 70271, 24356, 198, 2082, 8221, 1404, 198, 36, 343, 306, 2391, 1174, 31008, 16023, 11, 96783, 372, 198, 57, 896, 377, 198, 19719, 92473, 2746, 468, 6308, 76213, 2694, 18078, 73612, 11, 2746, 304, 2694, 24356, 8261, 6538, 22918, 70271, 24356, 9421, 37285, 83049, 47650, 624, 20616, 3988 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 198, 9368, 70271, 87239, 198, 20616, 4929, 1704, 29413, 198, 16, 37419, 198, 15878, 380, 36433, 320, 16, 340, 15878, 380, 36433, 198, 15878, 95393, 25994, 36408, 27277, 48842, 31148, 13, 54068, 48842, 82197, 6975, 6395, 85104, 40697, 11, 13368, 44367, 18078, 73612, 44367, 16023, 77919, 624, 20616, 12, 14873, 268, 83797, 24356, 12, 14873, 268, 9421, 2024, 19875, 198, 55802, 54749, 16030, 198, 14444, 32427, 198, 675, 198, 14444, 32427, 198, 2082, 8221, 1404, 198, 14444, 14648, 18905, 11, 25867, 4678, 11, 4716, 651, 6686, 11, 32877, 220, 19, 11, 14648, 198, 57, 896, 377, 198, 20616, 6538, 5085, 7180, 16023, 57916, 278, 1047, 268, 13, 9740, 37400, 83, 20115, 10559, 46954, 95038, 11, 13368, 2694, 18078, 73612, 2746, 16023, 9979, 11687, 624, 45696, 46745, 59522, 77131, 2185, 198, 2428, 1110, 79, 42038, 5713, 905, 14, 46821, 30, 17958, 28, 450, 198, 20616, 3988, 198, 1889, 64, 20399, 70, 266, 20399, 34849, 198, 20616, 4929, 1704, 29413, 198, 17, 48015, 198, 840, 465, 811, 3264, 3591, 320, 18, 340, 840, 465, 811, 3264, 3591, 198, 641, 11866, 665, 6538, 81501, 55078, 1587, 627, 268, 2030, 9784, 5251, 4495, 12, 2120, 1587, 627, 268, 12643, 5297, 140448, 2504, 17029, 13, 43997, 25994, 6538, 15637, 268, 3264, 3591, 17324, 54749, 17029, 12643, 11, 4845, 59226, 2694, 76716, 81, 3092, 7219, 26769, 91912, 665, 1962, 10453, 883, 70628, 18069, 14387, 42603, 18520, 13, 151643, 55063, 80593, 47332, 301, 47635, 10559, 15098, 1952, 71, 5676, 1147, 1466, 4832, 1531, 9089, 9421, 11, 84132, 40951, 7906, 52662, 49662, 33315, 8166, 6395, 54395, 331, 11567, 26824, 13, 444, 2717, 17058, 7659, 645, 2694, 730, 69, 54, 7671, 1180, 826, 30622, 375, 12583, 12583, 732, 20004, 1933, 22318, 533, 61197, 72295, 1524, 11, 9529, 266, 1524, 2030, 289, 7066, 81936, 261, 1279, 136507, 7272, 34047, 5699, 265, 20319, 6616, 6879, 1370, 258, 18770, 609, 4501, 645, 2694, 468, 63274, 16810, 324, 2067, 56368, 304, 53936, 834, 3045, 268, 20004, 61229, 13, 44462, 2340, 7184, 1371, 68057, 14821, 6538, 3371, 97268, 21506, 88487, 17739, 49096, 344, 64321, 1960, 6538, 10112, 67, 2248, 1579, 35346, 56539, 17246, 50753, 261, 95030, 34581, 896, 85188, 89, 21062, 304, 33000, 10207, 89730, 624, 22171, 133661, 50528, 52015, 4229, 1575, 73596, 10393, 2185, 7180, 4368, 14552, 304, 2694, 89931, 44278, 54578, 409, 33000, 5999, 304, 4400, 3433, 479, 844, 2030, 4368, 834, 1137, 33328, 10573, 268, 14821, 47143, 7219, 3371, 58534, 3893, 85426, 13, 21766, 2429, 77742, 40110, 16858, 22589, 91304, 343, 2338, 14187, 57423, 1640, 11426, 3893, 85426, 2030, 5841, 333, 33235, 13820, 78765, 144005, 13906, 44340, 304, 33000, 9421, 42153, 695, 295, 12643, 13, 23980, 261, 14047, 39416, 7256, 84247, 22589, 19767, 141786, 9421, 2429, 142407, 14906, 76, 89770, 78, 1069, 4406, 2285, 939, 46307, 1065, 1571, 2356, 7180, 289, 61811, 20005, 76604, 59908, 2030, 92979, 320, 28942, 57, 8, 1931, 87481, 12643, 13, 77775, 1330, 309, 5451, 31313, 8802, 268, 26109, 2694, 77742, 306, 86, 29363, 48376, 485, 4865, 13, 12741, 1527, 52015, 14821, 28095, 304, 76604, 59908, 5451, 2694, 4863, 21188, 75, 28122, 57804, 11256, 64, 342, 38, 31098, 9421, 54727, 19985, 295, 624, 54370, 89770, 78, 97252, 2285, 12643, 61197, 27684, 2956, 6498, 529, 11, 2746, 304, 4863, 21188, 75, 28122, 12, 2030, 5016, 9157, 268, 43183, 93016, 2725, 16030, 2030, 49536, 24440, 21506, 88487, 86957, 59363, 14047, 39416, 343, 12743, 59493, 56945, 13, 19000, 73910, 143037, 5451, 14259, 406, 77, 36964, 13785, 16942, 74, 14274, 10559, 11, 773, 89, 19893, 2030, 16942, 74, 1609, 10559, 89507, 2721, 287, 11595, 13906, 44340, 2030, 51327, 723, 11, 87878, 6712, 53363, 36433, 6395, 21187, 16030, 13, 54412, 48842, 53797, 7219, 89770, 78, 97252, 2285, 624, 38, 59378, 56539, 21062, 1129, 268, 304, 6489, 268, 468, 1194, 8212, 336, 13977, 74, 1960, 28789, 220, 17, 15, 13, 78765, 74, 644, 673, 88019, 359, 44444, 798, 87264, 13, 95030, 34581, 896, 85188, 89, 21062, 10207, 89730, 9421, 33000, 624, 9499, 1575, 76, 10559, 468, 63274, 3004, 1775, 2185, 304, 33000, 10712, 7107, 12, 88492, 12, 3430, 68057, 1365, 10112, 67, 2248, 1579, 35346, 56539, 17246, 50753, 261, 95030, 34581, 896, 85188, 89, 21062, 8896, 7219, 2429, 220, 17, 15, 13, 78765, 74, 644, 673, 88019, 359, 44444, 798, 87264, 1079, 220, 16, 21, 13, 3841, 93289, 6538, 59228, 21506, 88487, 17739, 41663, 74374, 732, 74219, 4229, 1575, 73596, 304, 137256, 15232, 11496, 10207, 89730, 13, 422, 39129, 42668, 2746, 468, 63274, 16810, 324, 2067, 56368, 732, 89507, 2694, 386, 23318, 468, 30084, 4802, 609, 3015, 14047, 98675, 48376, 301, 21140, 624, 22171, 47634, 81, 383, 258, 37602, 69, 29802, 10559, 730, 4659, 300, 331, 32997, 1065, 1571, 54105, 4926, 27127, 15588, 3818, 3371, 9740, 51176, 46621, 3492, 371, 4101, 939, 18211, 43257, 16034, 61150, 14835, 45, 539, 81, 383, 258, 60761, 69, 35649, 732, 6489, 268, 730, 4659, 300, 331, 32997, 1365, 647, 316, 468, 5176, 12, 16034, 26141, 39848, 2305, 2576, 37137, 10721, 76184, 2362, 1527, 21062, 75, 1854, 8300, 65161, 39295, 54, 13002, 61811, 82, 1065, 1571, 12193, 3748, 83, 15687, 258, 13785, 6616, 14835, 57, 3101, 60730, 17246, 783, 74001, 570, 61811, 25, 2362, 11903, 46621, 17246, 783, 47226, 3184, 360, 36616, 2030, 98317, 2073, 624, 1654, 41846, 647, 371, 81, 70668, 11, 18976, 81, 22157, 2030, 78765, 1324, 77, 70056, 32030, 33748, 22318, 29937, 468, 63274, 12, 2030, 730, 4659, 300, 331, 32997, 339, 16335, 2030, 10924, 268, 3371, 47355, 25402, 76, 932, 4229, 48414, 22385, 16034, 282, 610, 21673, 12926, 11855, 331, 13, 2055, 4116, 2694, 647, 371, 4101, 6538, 42250, 77, 85188, 89, 21062, 47355, 939, 78765, 54059, 14835, 38, 59378, 56539, 21062, 1129, 268, 304, 6489, 268, 468, 1194, 8212, 336, 13977, 74, 1960, 76184, 44462, 16821, 2356, 5342, 321, 88487, 13364, 31873, 13820, 2714, 93644, 56400, 408, 5451, 2429, 22611, 7637, 372, 13785, 910, 1129, 268, 2030, 29505, 1268, 343, 51707, 13279, 6489, 268, 42952, 1225, 1960, 624, 22171, 18211, 673, 282, 437, 732, 89507, 2694, 468, 30084, 4802, 609, 3015, 11, 2694, 61921, 2305, 17739, 1967, 275, 8828, 325, 7180, 468, 63274, 12, 2030, 73794, 86, 61811, 67317, 13, 647, 316, 220, 16, 21, 13, 14840, 220, 16, 23, 13, 3841, 93289, 220, 17, 15, 16 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 21, 548, 90930, 77399, 40897, 220, 21, 20, 15, 20004, 72511, 9421, 220, 17, 20, 17227, 268, 34749, 60404, 267, 273, 380, 11595, 2030, 87479, 9421, 3371, 43157, 28324, 92603, 36519, 20854, 12, 2030, 73794, 86, 61811, 39307, 74001, 66860, 2125, 1579, 2030, 468, 63274, 6445, 449, 3591, 89, 624, 32617, 49765, 665, 69084, 1127, 9285, 64260, 939, 5748, 1174, 28064, 730, 4659, 64, 51, 86957, 2694, 61197, 8896, 732, 74882, 1377, 13279, 10112, 67, 2248, 1579, 67317, 140600, 22157, 13, 34903, 17630, 2746, 15058, 265, 465, 2694, 16942, 3342, 21673, 17210, 7231, 575, 5849, 13, 13785, 84605, 3563, 2956, 28494, 51707, 6538, 4229, 1575, 73596, 10712, 1217, 74889, 468, 63274, 87165, 2030, 468, 63274, 6445, 449, 3591, 89, 5251, 64, 7997, 38130, 5676, 6051, 17029, 624, 1514, 275, 2694, 2825, 34271, 2185, 939, 5748, 1174, 28064, 730, 4659, 64, 51, 86957, 2694, 61197, 13906, 40462, 45506, 2922, 351, 16030, 16111, 6538, 10112, 67, 2248, 1579, 6975, 304, 36744, 70165, 54942, 285, 13, 23980, 268, 42668, 2746, 54092, 5748, 1174, 713, 732, 89507, 13305, 416, 5388, 461, 50958, 730, 4659, 300, 331, 32997, 39537, 54749, 288, 220, 17, 15, 16, 18, 304, 55397, 17239, 28421, 624, 18175, 431, 28865, 2694, 33312, 88487, 41852, 56539, 17917, 9089, 387, 285, 2493, 2010, 41210, 5451, 60352, 4480, 68, 2125, 1609, 3591, 2030, 7107, 12, 88492, 12, 3430, 285, 2493, 8398, 9421, 3371, 43157, 28324, 2926, 1942, 9835, 723, 11, 468, 63274, 11, 2823, 273, 32030, 2185, 2030, 69252, 17958, 2185, 39307, 5451, 14410, 42189, 6772, 27684, 539, 50958, 37456, 455, 17739, 1863, 529, 333, 449, 1268, 11595, 2030, 87862, 142407, 142432, 624, 3430, 318, 77065, 18078, 1387, 13279, 6975, 732, 13017, 44914, 16540, 42469, 16111, 3371, 47355, 25402, 76, 932, 13906, 58158, 11, 58319, 1967, 380, 11595, 10112, 67, 2248, 1579, 304, 50435, 43157, 28324, 458, 65, 33254, 15719, 13, 42616, 16111, 57465, 39337, 3119, 408, 2030, 10207, 266, 408, 13368, 10928, 9421, 68545, 9300, 13279, 2694, 23334, 746, 38132, 1274, 44914, 50095, 468, 63274, 6445, 449, 3591, 89, 5251, 64, 7997, 38130, 5676, 143562, 20048, 2030, 58319, 71602, 10938, 30976, 273, 49536, 6616, 61150, 4229, 1575, 73596, 2030, 2694, 22539, 40499, 20005, 84247, 6538, 467, 2305, 8719, 747, 1510, 268, 58237, 15719, 624, 45, 3065, 268, 2694, 77742, 901, 58498, 2694, 61197, 27298, 1531, 15462, 54936, 14668, 730, 4659, 64, 51, 16053, 7180, 136458, 11, 9494, 632, 74, 1960, 11, 73360, 1923, 1440, 2030, 5836, 36616, 2280, 483, 7256, 13, 58616, 9450, 355, 7522, 9089, 869, 730, 4659, 300, 331, 32997, 2245, 433, 65161, 13785, 66461, 51707, 2694, 468, 63274, 68, 1330, 1732, 2185, 6395, 71, 3454, 11, 1079, 70165, 57548, 12385, 28789, 73360, 6538, 52795, 143492, 77, 9421, 13, 77356, 5999, 1531, 14410, 69701, 20005, 1298, 89, 23318, 77868, 60462, 26824, 11, 2746, 6616, 37210, 355, 267, 48435, 7180, 3371, 547, 12311, 524, 5451, 468, 63274, 5699, 2305, 8052, 268, 624, 80593, 38472, 15690, 10358, 2071, 5999, 2746, 54092, 5748, 1174, 713, 21982, 11426, 39295, 54, 5451, 2429, 14835, 63369, 12354, 17318, 2073, 65078, 85740, 30179, 13, 12741, 60939, 26109, 304, 36744, 37419, 6538, 11426, 288, 1065, 1571, 4926, 27127, 2030, 2694, 468, 63274, 16810, 324, 2067, 56368, 458, 1640, 4188, 35225, 220, 17, 17, 87727, 359, 268, 2030, 57093, 29618, 1064, 2739, 11567, 12032, 13, 8495, 12304, 83572, 9089, 304, 9057, 14184, 261, 1205, 1064, 4443, 3371, 730, 4659, 300, 331, 32997, 384, 40399, 61007, 2030, 773, 29695, 8095, 268, 11, 3371, 3539, 17, 6691, 355, 33052, 7997, 6395, 348, 14443, 932, 624, 36, 6498, 129059, 8719, 747, 1510, 268, 796, 50656, 3289, 449, 1167, 13, 60423, 15462, 2341, 8345, 15671, 467, 2305, 8719, 747, 1510, 79680, 333, 14821, 2694, 67952, 308, 44226, 7256, 92603, 342, 59391, 7272, 13, 16887, 10928, 3371, 794, 62014, 8221, 1404, 20048, 18372, 7070, 6538, 467, 2305, 8719, 747, 1510, 268, 83423, 52367, 2892, 2030, 978, 9151, 17760, 2574, 8793, 11806, 1960, 18520, 485, 305, 1241, 529, 19461, 624, 18175, 9919, 1199, 82850, 5649, 12070, 1944, 77509, 28095, 304, 2694, 97268, 20004, 61229, 320, 15, 18, 14, 17, 15, 16, 20, 701, 13368, 8495, 12412, 133238, 2746, 61430, 6433, 23959, 1612, 35103, 2030, 13279, 13093, 59226, 3371, 1527, 8221, 1404, 582, 90830, 77, 20048, 13, 45481, 61550, 48842, 16034, 61150, 467, 2305, 8719, 747, 1510, 79680, 1612, 17837, 59141, 8495, 12412, 16034, 50201, 624, 83953, 70777, 40897, 4443, 2746, 84605, 6538, 44693, 86, 13977, 2660, 2030, 23334, 86, 3818, 86, 13977, 2660, 54383, 43860, 2746, 10112, 67, 2248, 1579, 31477, 5451, 40577, 2030, 62467, 17312, 47404, 13, 328, 1726, 7522, 8495, 6975, 458, 624, 6953, 64002, 142454, 14322, 768, 81, 1241, 29011, 268, 2660, 5658, 86957, 14930, 44602, 268, 776, 7964, 34461, 12495, 3240, 14931, 306, 477, 33000, 468, 30084, 5748, 1174, 713, 92979, 14357, 355, 36772, 59908, 9740, 1999, 4943, 4324, 44693, 86, 13977, 2660, 9740, 811, 8801, 54102, 468, 63274, 9740, 811, 8801, 54102, 74001, 3591, 12339, 74, 550, 142407, 70, 66976, 93912, 1323, 359, 12495, 4229, 1609, 68, 4229, 1575, 73596, 47227, 86, 395, 4195, 433, 267, 6712, 730, 4659, 64, 51, 16053, 730, 4659, 672, 37121, 18211, 673, 22463, 29413, 79, 1510, 3004, 1387, 28275, 39416, 7256, 92979, 33726, 3004, 33827, 431, 8666, 74, 932, 930, 67, 36616, 431, 8666, 930, 67, 36616, 74303, 22385, 328, 39089, 67056, 11042, 901, 40308, 47561, 794, 2844, 28064, 87818, 77, 610, 73869, 92603, 26737, 333, 7001, 1579, 1163, 766, 86, 33758, 23334, 86, 3818, 647, 371, 4101, 647, 81, 395, 3818, 73794, 73794, 58864, 73794, 86, 61811, 44966, 86, 2207, 351, 22087, 798, 21512, 4337, 9959, 6059, 467, 2305, 8719, 747, 372, 375, 271, 18175, 18977, 23647, 12643, 1197, 86, 7294, 54831, 12385, 13785, 4368, 4317, 383, 25655, 26949, 490, 265, 550, 51730, 16335, 455, 7231, 1371, 32175, 65, 2717, 13, 24209, 31722, 1952, 1527, 71832, 15969, 268, 2030, 30512, 1902, 42189, 28122, 423, 71, 29802, 1517, 15398, 64857, 17312, 74857, 13, 1527, 71832, 471, 2030, 30512, 1902, 42189, 28122, 423, 71, 29802, 1517, 285, 20048, 10928, 14047, 140463, 28494, 3491, 2301, 3893, 21545, 529, 12643, 382, 6464, 1241, 16034, 3841, 72, 932, 304, 25987, 535, 25, 3303, 619, 4775, 12, 18510, 5840, 908, 2685, 371, 732, 521 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1543, 17739, 34387, 18166, 26109, 6616, 61217, 1863, 1704, 50753, 8948, 93094, 835, 20416, 17029, 13, 45481, 3371, 84687, 61286, 713, 1863, 1704, 50753, 25444, 1579, 5999, 52434, 2746, 358, 8485, 9394, 31477, 1147, 590, 130337, 13, 8408, 35346, 56539, 17246, 50753, 261, 2410, 301, 9160, 4724, 277, 320, 265, 54327, 8, 2030, 51532, 674, 529, 1863, 2636, 1194, 320, 15880, 11, 84732, 431, 1963, 1260, 11, 35346, 56539, 17246, 50753, 261, 1079, 619, 4775, 39620, 437, 371, 34387, 18166, 8, 9979, 89, 1960, 52716, 18078, 1387, 304, 5616, 21506, 61805, 336, 11, 4443, 2694, 18069, 896, 6996, 28122, 7070, 7291, 645, 387, 91615, 1126, 71, 12495, 382, 40369, 2770, 64, 3760, 11, 22900, 76, 6128, 67232, 63473, 3818, 7219, 2746, 90817, 668, 11, 6616, 94919, 1032, 85577, 29695, 473, 83, 68748, 38834, 529, 12643, 67594, 624, 32, 331, 773, 11, 1083, 7416, 267, 13906, 650, 39720, 1100, 1268, 465, 7577, 49189, 38132, 2694, 46954, 458, 422, 98280, 5999, 82664, 10928, 17058, 71126, 140917, 7180, 41235, 1230, 29898, 8535, 11, 19104, 19767, 11855, 2694, 342, 4671, 5342, 13, 2362, 83126, 333, 301, 9544, 10638, 19104, 13785, 37400, 83, 74565, 11, 14948, 1531, 25494, 36077, 15025, 1466, 94213, 50095, 5999, 11, 14948, 8725, 5451, 88787, 1032, 85577, 1494, 17029, 10712, 5451, 773, 17443, 60404, 267, 273, 1571, 11, 51939, 4368, 18069, 1323, 1387, 5451, 2429, 77356, 21631, 408, 645, 24585, 16722, 775, 71, 406, 52434, 25494, 36077, 18520, 624, 53, 13029, 90796, 7272, 5999, 8652, 2746, 1230, 138644, 50499, 13, 59490, 2746, 4377, 48323, 2863, 723, 2030, 4582, 17029, 11, 93096, 9911, 8652, 2030, 10638, 15719, 40870, 6185, 40399, 16789, 15141, 5840, 796, 50656, 13, 25861, 35141, 8793, 2860, 19349, 11, 35141, 31357, 63165, 64487, 57396, 11595, 56946, 5186, 42888, 11, 2746, 46954, 12583, 12222, 13279, 8652, 624, 3036, 388, 13279, 2860, 25, 25861, 35141, 16034, 1644, 50656, 25531, 34368, 2860, 62459, 320, 1241, 6616, 10928, 67058, 20048, 48643, 2694, 1527, 8221, 1404, 87231, 8793, 7100, 632, 62459, 2030, 21982, 98317, 47708, 19154, 268, 320, 34889, 12583, 11937, 42046, 34368, 8641, 12222, 53555, 27941, 1199, 7522, 701, 2746, 46954, 12643, 2429, 1527, 8221, 1404, 2030, 50041, 59228, 78722, 19985, 932, 650, 3004, 67056, 30203, 3818, 44048, 548, 90930, 17029, 2030, 10638, 35141, 74054, 2739, 2172, 10316, 11, 14948, 12788, 20096, 34098, 293, 2717, 2030, 308, 941, 1494, 17029, 13, 1863, 1785, 13, 10928, 11, 14948, 2429, 1527, 8221, 1404, 308, 941, 1494, 17029, 320, 89, 1785, 13, 4368, 46954, 93876, 2030, 17760, 2574, 76716, 524, 422, 1003, 465, 701, 2714, 8793, 6538, 17443, 38684, 7219, 709, 74, 2863, 723, 14821, 2694, 24929, 625, 2956, 37592, 6772, 38805, 32936, 3184, 17454, 8896, 601, 86, 624, 28671, 11937, 11, 650, 3004, 67056, 30203, 3818, 11, 34542, 22075, 2746, 46954, 34699, 3371, 422, 12153, 19767, 11855, 47708, 75, 30203, 3818, 13785, 376, 8535, 12643, 13, 36574, 2694, 1527, 8221, 1404, 34542, 66809, 13, 38897, 46954, 17033, 36651, 8896, 11937, 26252, 96382, 72101, 81, 3092, 7219, 38897, 46954, 17033, 268, 11, 1147, 10110, 4979, 25131, 16053, 66809, 13, 10638, 35141, 74054, 2739, 2172, 10316, 11, 14948, 2714, 6616, 8793, 9421, 23333, 11687, 624, 13394, 66653, 10712, 13279, 15244, 268, 21631, 724, 375, 713, 14348, 3591, 15795, 13368, 5943, 2011, 575, 13, 2305, 13, 23738, 10638, 2746, 46954, 13279, 8652, 47708, 125462, 64513, 273, 2030, 2694, 1527, 8221, 1404, 24929, 7364, 15359, 529, 59765, 40870, 458, 42477, 268, 15719, 624, 22171, 647, 16568, 321, 6538, 330, 18982, 2030, 13785, 541, 55928, 29413, 76716, 524, 17630, 1, 3371, 2746, 8105, 83902, 268, 10712, 74227, 6433, 647, 16568, 321, 9421, 71126, 328, 4865, 17630, 11, 20112, 33827, 10638, 8793, 13, 25861, 34368, 6712, 31357, 1032, 2125, 2185, 304, 2694, 13225, 579, 1579, 11, 51290, 2994, 20572, 2030, 12222, 2994, 20572, 13, 8408, 68042, 28275, 665, 457, 9421, 71126, 328, 4865, 20048, 17760, 2574, 1083, 8793, 7219, 94873, 674, 268, 12643, 624, 19957, 15687, 752, 6308, 11, 15687, 74492, 1944, 4368, 293, 433, 12917, 8085, 778, 28064, 87818, 39537, 54749, 10712, 4368, 2435, 283, 631, 3591, 267, 273, 1571, 30, 13093, 268, 440, 11, 14948, 1531, 2994, 8793, 12222, 4443, 6250, 2172, 360, 713, 26612, 11, 51290, 10928, 4443, 1333, 791, 1003, 14033, 2030, 83279, 2257, 26612, 39264, 13, 4724, 60404, 267, 273, 1571, 14821, 6616, 431, 57, 72170, 93395, 8793, 8641, 70984, 29095, 1440, 12495, 2030, 22075, 2429, 9820, 38650, 42339, 665, 44849, 20826, 39264, 11, 10464, 83, 6616, 3731, 1241, 12070, 39537, 54749, 4368, 624, 3707, 8602, 52549, 773, 4368, 60404, 267, 273, 1571, 38805, 54548, 4808, 7073, 10712, 10638, 11, 6616, 5999, 72734, 13, 36574, 1333, 791, 1003, 14033, 2030, 83279, 2257, 26612, 481, 6616, 5999, 68876, 2694, 393, 43226, 11, 23738, 10638, 2770, 64, 3760, 11, 5451, 40283, 13111, 4377, 70336, 6395, 10246, 4370, 11, 9911, 383, 2746, 51333, 665, 89005, 624, 58461, 312, 4865, 41235, 7465, 3831, 43438, 668, 325, 1199, 939, 1032, 2125, 388, 2030, 732, 5699, 4659, 76, 15795, 14785, 5999, 4368, 834, 8801, 1032, 85577, 10928, 58052, 48323, 2863, 723, 13, 25861, 34368, 6712, 11937, 88028, 8793, 305, 1241, 13820, 12385, 17790, 18520, 1032, 2125, 11595, 1079, 12353, 11, 1538, 29937, 444, 91639, 15719, 10638, 1083, 10928, 5451, 1059, 73052, 3821, 21673, 3406, 1442, 11595, 13785, 1323, 91639, 9338, 38025, 440, 11, 10638, 27726, 12222, 26769, 47404, 81671, 11, 2030, 2994, 4116, 2746, 72131, 74565, 14948, 2746, 6079, 48376, 477, 32863, 5999, 13, 16887, 28789, 38684, 5948, 5999, 458, 42477, 82, 10928, 6538, 330, 8747, 1704, 29413, 9433, 16789, 15141, 74, 2185, 1, 2746, 72131, 11, 572, 34368, 30632, 82816, 58325, 17029, 14821, 624, 70194, 10638, 6616, 65681, 2739, 84884, 27726, 35141, 2714, 6616, 10928, 34368, 54459, 8793, 13, 12741, 21631, 798, 383, 652, 320, 258, 36744, 14785, 2694, 312, 2125, 2185, 778, 331, 38013, 10938, 2362, 7052, 8, 11834, 7997, 139115, 59228, 61291, 422, 7783, 11169, 12646, 263, 627, 796, 50656, 2030, 5451, 422, 1003, 52591, 65, 3891, 932, 87488, 10938, 6250, 376, 70668, 3647, 331, 742, 38809, 481, 462, 73607, 13, 12741, 21631, 724, 375, 28064, 261, 320, 16055, 276, 8221, 1404, 8, 15719, 732, 52747, 14785, 11937, 7364, 8793, 7219, 2746, 47708, 75, 30203, 301, 1960, 46954, 84911, 265, 55339, 11, 1083 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10928, 1147, 13, 425, 13, 31357, 20004, 74, 60730, 13785, 14410, 79, 13, 46954, 220, 13820, 22837, 624, 32, 652, 53797, 27298, 1531, 289, 7294, 71593, 16074, 723, 7256, 60423, 72313, 28122, 15862, 12543, 11595, 7530, 258, 41210, 25620, 896, 7256, 51939, 28086, 16809, 665, 457, 5468, 18175, 7355, 32997, 2185, 939, 4388, 40681, 5999, 2746, 28822, 5166, 4443, 4368, 312, 579, 2185, 49341, 2030, 11122, 71, 51663, 1644, 50656, 458, 3371, 425, 31261, 6395, 97035, 21673, 13, 14133, 83801, 883, 40662, 20112, 32030, 11, 3201, 78, 70336, 13, 36574, 28883, 40662, 1081, 3092, 61286, 275, 6395, 17630, 320, 68, 1330, 20175, 136508, 8, 76120, 12755, 883, 883, 1528, 6975, 331, 133406, 30512, 65, 84384, 331, 2185, 624, 54, 33758, 8151, 2391, 12032, 15719, 9820, 51327, 24716, 12063, 73202, 15141, 38132, 19349, 11, 2746, 3371, 4388, 562, 10080, 14383, 1387, 30632, 3647, 268, 5840, 11, 19104, 8793, 55813, 220, 44146, 11687, 624, 3430, 318, 88361, 2712, 49802, 357, 766, 268, 8793, 12222, 12222, 2746, 472, 90360, 93644, 56400, 408, 17790, 25494, 52287, 13, 5649, 450, 10638, 304, 2823, 1070, 2030, 16549, 343, 8793, 773, 88700, 301, 303, 624, 18175, 7355, 32997, 2185, 939, 4388, 40681, 5999, 2746, 28822, 5166, 4443, 4368, 312, 579, 2185, 49341, 2030, 11122, 71, 51663, 1644, 50656, 458, 3371, 425, 31261, 6395, 97035, 21673, 624, 32, 1387, 22075, 48803, 82276, 75, 4003, 73202, 134662, 537, 40231, 343, 4116, 11, 8896, 2694, 30682, 78400, 1531, 25494, 17859, 7219, 3371, 393, 43226, 3893, 85426, 624, 17360, 27298, 68378, 268, 11, 304, 69507, 73794, 5699, 37633, 8793, 312, 4865, 11, 8151, 713, 3371, 22539, 66107, 42888, 30022, 17149, 8896, 13, 8408, 467, 14136, 2185, 6538, 73794, 5999, 10928, 8793, 773, 8688, 458, 39416, 408, 11, 13368, 2746, 6538, 18482, 1387, 624, 17360, 14821, 10928, 8793, 2746, 386, 783, 2185, 30632, 3893, 42316, 11, 330, 15407, 11687, 8641, 58052, 7180, 434, 6207, 85, 17391, 266, 732, 467, 61194, 274, 39563, 3263, 8408, 8185, 40188, 3893, 2024, 645, 7964, 268, 425, 31261, 274, 5467, 26824, 2994, 10928, 54064, 8641, 9421, 18131, 802, 268, 5016, 28698, 2694, 2823, 1070, 14047, 89005, 4443, 14047, 89, 810, 12032, 11, 7060, 2994, 6616, 422, 610, 2694, 70264, 71, 273, 668, 94873, 674, 268, 8896, 13, 43997, 1531, 8793, 330, 1107, 22087, 2694, 22087, 11, 6616, 1435, 1014, 10559, 16840, 1, 4116, 11, 282, 78120, 2746, 1032, 67726, 87488, 408, 9421, 624, 713, 29695, 26269, 304, 2694, 2869, 21558, 11, 4443, 2694, 55857, 15113, 6395, 1197, 709, 12032, 11, 434, 2636, 75, 56780, 68, 19767, 18482, 1387, 306, 69936, 21982, 4388, 10451, 9421, 89, 360, 2956, 11759, 624, 74909, 5999, 1531, 41488, 3841, 93289, 28086, 36077, 6395, 8185, 40188, 13, 16358, 1070, 50568, 13473, 140600, 15113, 55879, 1531, 11, 22075, 10638, 23273, 67519, 2714, 6130, 485, 11, 46668, 37419, 28086, 18520, 69, 610, 13, 25861, 7180, 38486, 11, 15269, 276, 12643, 16111, 6975, 10928, 22539, 84251, 12495, 47827, 624, 32, 652, 4443, 2746, 67232, 96815, 2122, 6395, 387, 69046, 268, 13, 25861, 320, 2082, 69, 61673, 16315, 9979, 2986, 3371, 4388, 10451, 67519, 11806, 1960, 11, 5999, 8652, 752, 380, 6395, 4443, 47635, 6772, 2030, 20112, 32030, 1531, 304, 2694, 97504, 8793, 13, 2009, 68627, 9979, 2986, 10638, 40662, 38805, 54064, 11, 22075, 44390, 425, 31261, 320, 16123, 9911, 67058, 732, 38996, 67519, 137943, 11460, 8, 304, 67703, 60054, 268, 7219, 2429, 22869, 89, 2694, 1863, 858, 268, 2444, 5679, 11, 12385, 87262, 1126, 11, 23738, 9911, 26269, 55857, 15113, 1187, 28421, 19767, 41235, 11460, 76178, 90591, 13920, 6395, 12643, 13, 18069, 12385, 40462, 18482, 1387, 267, 78940, 3595, 89, 16030, 2994, 28086, 2746, 1527, 46728, 2694, 311, 1960, 425, 31261, 83630, 6772, 13, 21766, 2429, 18078, 268, 320, 16123, 10638, 22318, 41658, 296, 1777, 8, 51528, 25531, 76720, 14226, 1230, 2672, 383, 2030, 362, 1362, 11567, 4370, 304, 6616, 42514, 624, 54370, 19489, 266, 2071, 16034, 4388, 10451, 27726, 10638, 17790, 31357, 41663, 74374, 14410, 8666, 3818, 11, 289, 15422, 72, 9089, 6616, 37699, 12709, 93016, 14821, 11, 10638, 4116, 12743, 932, 384, 74122, 28421, 18083, 144534, 198, 54, 7294, 6616, 11426, 62937, 35225, 11, 2746, 5388, 461, 13820, 1967, 275, 267, 6712, 11, 17790, 2746, 3184, 36616, 6538, 32618, 490, 13129, 268, 17630, 53797, 7107, 12543, 11595, 624, 32003, 16942, 3342, 6772, 1147, 590, 21545, 6433, 3651, 551, 554, 46716, 5999, 1531, 10928, 76171, 11, 732, 14785, 36108, 22869, 642, 4116, 6616, 10487, 65, 282, 1466, 2381, 2305, 778, 51663, 8536, 17454, 2030, 3845, 77528, 6386, 723, 2257, 13, 151643, 87876, 1527, 539, 46621, 6538, 20004, 131807, 799, 77, 14, 1282, 20218, 932, 2030, 91896, 50244, 28698, 7180, 2746, 23276, 331, 22385, 11, 51939, 98308, 645, 14821, 19767, 14787, 23455, 220, 44146, 11687, 624, 2715, 5242, 472, 45329, 198, 1425, 590, 4487, 13985, 261, 320, 18175, 451, 22181, 1933, 68, 340, 2715, 5242, 472, 45329, 11, 34624, 1984, 524, 220, 16, 24, 20, 16, 2030, 6538, 472, 3454, 9421, 17210, 4487, 13985, 261, 11, 387, 14847, 267, 9089, 5451, 3371, 23388, 7459, 268, 2694, 3240, 27997, 13, 19000, 89931, 2245, 23318, 939, 5672, 316, 8155, 50958, 730, 1003, 53113, 69499, 49536, 2429, 24209, 1387, 11, 13785, 1967, 4865, 65, 2717, 268, 11, 83801, 6250, 709, 661, 2185, 13279, 65314, 23692, 17454, 2030, 2746, 25714, 54594, 2185, 14047, 39416, 7272, 12042, 39470, 11, 10230, 495, 2956, 2660, 74227, 661, 2305, 3821, 268, 13, 96520, 220, 16, 24, 24, 18, 2922, 351, 17029, 9089, 5242, 472, 45329, 7180, 468, 4160, 745, 96918, 11, 4368, 77742, 98213, 151643, 89619, 2008, 8012, 481, 308, 12, 4153, 2285, 11, 220, 16, 17, 11, 24, 20, 12984, 198, 89619, 2008, 5235, 8012, 220, 17, 15, 16, 24, 198, 80593, 220, 16, 15, 15056, 9820, 50368, 20005, 60021, 54594, 7256, 8012, 13, 444, 2305, 50900, 9089, 13012, 268, 304, 2694, 137208, 2739, 58158, 2030, 8896, 4368, 26964, 3658, 328, 3048, 13, 8495, 426, 6013, 44275, 71593, 2305, 426, 9421, 2030, 18060, 572, 9911, 22589, 11, 2746, 431, 2391, 1371, 13279, 36077, 11840, 811, 13906, 49371, 71, 11042, 2185, 5699, 28658, 5679, 624, 7339, 1263, 8012, 6538, 45255, 75594, 2030, 6616, 7180, 15462, 55813, 19463, 77, 60939, 13, 2055, 14821, 1531, 69876, 13, 19000, 98863, 6817 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 86899, 883, 13279, 37742, 5396, 65025, 30670, 624, 50, 11042, 83, 17859, 11, 86899, 5699, 865, 9421, 2030, 5699, 28658, 11687, 34699, 11840, 811, 13, 8408, 8012, 5999, 60021, 54594, 343, 2739, 59908, 295, 2030, 67058, 7219, 92610, 3145, 68989, 4368, 472, 287, 24370, 624, 30416, 10638, 10928, 84701, 45255, 5992, 1320, 645, 709, 11, 6368, 267, 26769, 8012, 2256, 53797, 89063, 40369, 489, 424, 82664, 10928, 16942, 1046, 8641, 9820, 32936, 8012, 11, 2994, 10638, 95710, 27726, 11, 19104, 26769, 93096, 6395, 81212, 73787, 14668, 13, 33328, 60297, 22075, 10638, 1079, 2988, 645, 4370, 9544, 13, 71161, 9911, 5999, 5699, 37633, 2030, 8896, 90039, 27431, 15462, 7010, 268, 11913, 13, 2308, 331, 53797, 5999, 9911, 5699, 44704, 11, 572, 21506, 362, 900, 268, 6395, 81212, 21491, 97463, 23559, 7964, 93096, 13, 320, 50, 62713, 8652, 37699, 67382, 8793, 86028, 5999, 31357, 13452, 1371, 549, 47, 1727, 80593, 3371, 60939, 8896, 9911, 10928, 9820, 2256, 98060, 0, 91452, 14047, 18520, 17392, 3128, 13518, 81625, 13, 2429, 668, 2030, 6395, 14804, 7522, 304, 71126, 3089, 35524, 6899, 87895, 320, 9522, 350, 2807, 8, 8896, 9911, 34749, 3377, 2030, 98060, 2755, 59493, 13, 45481, 23273, 4116, 9911, 3371, 58154, 4368, 450, 332, 343, 289, 529, 624, 70911, 267, 10928, 7219, 41235, 64894, 15897, 7522, 89063, 53, 24619, 43365, 1494, 268, 8652, 88028, 87262, 45702, 8793, 12385, 53835, 5699, 1112, 13279, 8652, 9421, 13, 36574, 26769, 8012, 6368, 267, 21784, 17149, 6538, 2694, 3377, 1059, 2030, 2994, 10638, 45255, 12, 5992, 1320, 645, 709, 11, 6368, 267, 2746, 8012, 10928, 6395, 88787, 2573, 13, 19000, 86028, 5451, 2429, 30052, 44096, 1704, 27684, 78120, 8652, 10928, 25494, 17859, 2030, 10638, 572, 1528, 44390, 43365, 24396, 16053, 408, 2574, 304, 2694, 3089, 35524, 6899, 87895, 13, 23980, 8896, 9911, 37699, 10928, 28086, 18520, 485, 19396, 4368, 79810, 97369, 13785, 273, 12755, 13, 151643, 35, 39129, 17790, 4368, 24285, 1543, 9354, 301, 7477, 12, 10724, 13, 38747, 15719, 883, 2746, 9740, 631, 11063, 2185, 11, 2746, 98175, 2636, 76, 10938, 68683, 301, 22385, 11, 16807, 13177, 613, 14668, 2030, 10928, 732, 66968, 44492, 9820, 50750, 82, 2125, 58498, 53835, 13, 16887, 10638, 44390, 7746, 21506, 49662, 2694, 10147, 331, 135786, 11, 4368, 93395, 3638, 872, 305, 7073, 261, 46690, 377, 11, 14948, 6616, 2746, 1597, 441, 13830, 19349, 67594, 13, 74303, 9544, 10638, 8652, 8793, 11, 19104, 10638, 2770, 64, 3760, 8641, 15269, 276, 13, 151643, 20, 13, 19, 13, 17, 13, 69176, 263, 74, 37369, 760, 22611, 47203, 704, 198, 52, 665, 8907, 303, 83, 220, 16, 198, 16, 730, 79870, 7180, 479, 1872, 2305, 74, 37369, 11, 15545, 64321, 2576, 74, 79870, 372, 472, 5054, 320, 52279, 1574, 701, 472, 5054, 320, 52279, 1574, 701, 9856, 198, 87876, 29618, 1279, 8579, 3246, 960, 14821, 6538, 28924, 268, 2030, 52716, 10991, 129602, 6433, 10712, 4368, 37146, 1656, 559, 1659, 1967, 65, 1117, 1330, 88718, 85227, 1984, 268, 46646, 13, 8495, 76133, 267, 13279, 3371, 425, 8804, 25651, 268, 3000, 268, 8345, 6712, 48686, 968, 5342, 9421, 13, 8408, 91970, 22385, 14821, 752, 380, 5451, 17443, 4184, 266, 2071, 6250, 97761, 2030, 93328, 5451, 1967, 12487, 11, 8495, 13920, 372, 2030, 58583, 438, 704, 89, 3808, 529, 13, 362, 900, 261, 325, 1199, 64015, 6616, 8674, 220, 20, 12009, 1466, 416, 12, 52491, 652, 273, 7964, 13279, 29618, 1279, 7219, 59785, 6538, 2869, 2391, 1923, 74, 2667, 2185, 2030, 6481, 268, 14612, 437, 37949, 704, 560, 268, 304, 3371, 66968, 37419, 89, 2636, 42469, 304, 44979, 7219, 220, 21, 21, 4, 13279, 47610, 2030, 220, 21, 16, 4, 13279, 386, 62968, 932, 98038, 529, 12643, 508, 16, 936, 8408, 4087, 343, 10938, 82745, 6538, 22463, 29413, 48985, 273, 65, 19875, 282, 50753, 665, 6395, 17058, 98175, 2636, 76, 19875, 6250, 57396, 2185, 2694, 63318, 306, 21673, 467, 15113, 25402, 76, 2185, 2694, 9740, 9855, 1180, 2185, 13, 5004, 26769, 14840, 304, 2746, 220, 16, 24, 22, 15, 261, 12009, 1466, 265, 17790, 37146, 5651, 9241, 17029, 11, 23952, 395, 9820, 133661, 46728, 2694, 48686, 51960, 665, 752, 45329, 11, 364, 4905, 30875, 7256, 444, 82040, 6, 511, 3591, 732, 5665, 23318, 2694, 28924, 268, 11, 8896, 9089, 304, 3371, 66968, 37419, 89, 2636, 42469, 4368, 83630, 95285, 547, 2277, 268, 2712, 19767, 4188, 61007, 13, 9236, 98421, 8793, 12222, 9820, 25714, 77131, 2185, 2154, 69, 37633, 11, 51290, 28924, 268, 17630, 1147, 87205, 6616, 1032, 13920, 11, 458, 22450, 391, 645, 805, 57926, 11595, 5451, 25655, 86, 404, 2712, 13, 60423, 2746, 6481, 268, 3264, 3591, 12583, 28924, 268, 48614, 42046, 2714, 20491, 359, 6772, 17859, 13785, 34749, 9740, 9855, 1180, 2185, 6051, 17029, 13, 55448, 14821, 5451, 2429, 61150, 91970, 87818, 81936, 41203, 42603, 98175, 2636, 76, 408, 87533, 4443, 709, 46014, 268, 11, 572, 9089, 458, 17058, 467, 6712, 6538, 28924, 268, 68091, 2628, 2694, 66968, 40462, 37419, 89, 2636, 23446, 16034, 61150, 91970, 22385, 799, 69, 74374, 2030, 91970, 87818, 423, 59908, 2185, 77509, 624, 20, 13, 19, 13, 17, 13, 16, 13, 8408, 92979, 2694, 69176, 263, 74, 37369, 2030, 87862, 47938, 46745, 6566, 75509, 665, 198, 78184, 958, 263, 74, 37369, 10712, 58325, 63657, 467, 79748, 80129, 301, 665, 9089, 732, 66968, 422, 1003, 22924, 939, 220, 17, 15, 13, 37419, 71, 1241, 15546, 13, 44462, 393, 290, 1268, 258, 69499, 11387, 73596, 356, 13, 37815, 11, 2746, 220, 16, 24, 23, 19, 2746, 7179, 69176, 23620, 1016, 2449, 13278, 320, 40, 17456, 8, 1081, 34271, 7714, 13, 69176, 263, 74, 37369, 41852, 56539, 17917, 9089, 13906, 60297, 5451, 57519, 1634, 87176, 1960, 2694, 9740, 9855, 1180, 2185, 29618, 1279, 25, 3371, 8671, 436, 316, 3605, 7522, 11, 3371, 1757, 266, 3721, 5641, 17739, 39307, 3371, 8671, 436, 9510, 530, 268, 20004, 86, 14136, 11595, 624, 30124, 263, 304, 2694, 6755, 2970, 55879, 1531, 732, 89507, 2694, 364, 2304, 71, 265, 2694, 57093, 328, 2305, 63319, 6, 33328, 41137, 11595, 6395, 8671, 436, 316, 3605, 7522, 76604, 71, 25423, 268, 47226, 45804, 320, 21062, 11455, 2986, 479, 5054, 8, 2030, 29618, 1279, 13, 758, 3371, 220, 16, 24, 23, 15, 261, 12009, 21176, 55879, 1531, 9820, 83141, 383, 6538, 7659, 3591, 16034, 61150, 364 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 42, 265, 5417, 388, 23348, 88185, 516, 2429, 274, 11706, 276, 42469, 17518, 355, 3261, 18103, 316, 14030, 355, 11, 9820, 19767, 4182, 42603, 6395, 45804, 2030, 48686, 81, 1389, 29159, 3612, 19358, 2185, 1161, 51767, 13229, 13820, 20465, 23348, 88185, 13, 18069, 4368, 450, 332, 7272, 76604, 20658, 64015, 60637, 8793, 14047, 37285, 93840, 12643, 13, 17235, 436, 316, 69022, 1634, 375, 40951, 2694, 29618, 1279, 306, 267, 2636, 2185, 11, 1640, 9433, 70439, 50468, 2030, 45804, 268, 11, 12643, 60637, 6538, 28924, 268, 137943, 10712, 70038, 1777, 54649, 9740, 9855, 1180, 2185, 458, 4370, 46646, 13, 83126, 333, 301, 2301, 5999, 5451, 17443, 59801, 2956, 426, 268, 91970, 87818, 12, 2030, 26063, 652, 285, 23630, 6395, 312, 2125, 268, 11, 22075, 511, 301, 10559, 50468, 23647, 17058, 325, 1199, 6395, 14410, 1241, 22385, 6772, 336, 53363, 1579, 1975, 35505, 50232, 1440, 11, 13368, 1147, 1785, 13, 1674, 74, 2267, 337, 36519, 21573, 354, 258, 1831, 14383, 1387, 11, 37210, 791, 2185, 3563, 17281, 12385, 30512, 7725, 365, 4865, 11, 2030, 61805, 261, 325, 1199, 10991, 92918, 17312, 2869, 2391, 1923, 74, 2667, 2185, 6538, 29618, 1279, 650, 4370, 89002, 90556, 13, 55448, 27298, 1531, 9820, 83141, 383, 6538, 8671, 603, 2798, 12543, 359, 1609, 17739, 7659, 3591, 11, 2746, 15462, 4184, 266, 2071, 18069, 1489, 1854, 6538, 25986, 285, 2407, 50468, 7219, 6616, 66235, 8948, 387, 48414, 13, 23980, 67594, 13906, 60297, 13279, 29618, 65, 799, 9855, 1180, 11595, 9820, 30976, 273, 58237, 11, 2746, 15462, 2922, 268, 76604, 20658, 16034, 66235, 8948, 7219, 896, 23129, 13, 8408, 7659, 3591, 55754, 5999, 12412, 25655, 60637, 6185, 258, 22385, 6772, 13, 29618, 1279, 14821, 304, 2694, 25471, 2628, 304, 2714, 3667, 8564, 645, 10712, 61287, 9913, 13601, 613, 2739, 1723, 84642, 9740, 9855, 1180, 2185, 41852, 73461, 11, 23952, 395, 2694, 28275, 73869, 17058, 7491, 7997, 42153, 6772, 8671, 436, 316, 3605, 7522, 9316, 2367, 25494, 83758, 50837, 5999, 13, 6521, 261, 20465, 23348, 6772, 440, 1199, 1174, 16017, 1574, 17790, 50468, 12385, 4148, 673, 344, 36614, 16540, 42469, 10712, 97168, 44275, 81070, 1279, 423, 1723, 610, 10938, 434, 9913, 23647, 4368, 450, 332, 343, 387, 71168, 12643, 13, 2009, 68627, 10246, 7997, 9089, 4368, 76604, 20658, 47226, 75260, 14408, 336, 773, 89, 815, 76791, 14274, 285, 2407, 8104, 2030, 29618, 1279, 14047, 896, 23129, 11, 2694, 9089, 60637, 8793, 13279, 50041, 350, 372, 68525, 64321, 1960, 29003, 28064, 1728, 26824, 77509, 624, 20250, 261, 1757, 266, 3721, 5641, 17739, 76604, 71, 25423, 268, 12583, 8671, 10559, 39455, 4370, 2694, 29618, 65, 799, 9855, 1180, 2185, 2030, 481, 1371, 10661, 37949, 6395, 85104, 40697, 13368, 14269, 261, 27604, 673, 11, 7416, 267, 11, 45804, 11, 1527, 6385, 28122, 267, 9416, 2185, 11, 25348, 21945, 11, 595, 50449, 1967, 83214, 3563, 5744, 11595, 575, 5849, 13, 8408, 138971, 831, 16597, 6538, 595, 13129, 87818, 54594, 6433, 8671, 17739, 794, 9416, 11595, 26109, 304, 17058, 67703, 7659, 645, 508, 17, 60, 5451, 13785, 220, 19, 13, 15, 15, 15, 28924, 268, 304, 17058, 220, 19, 13002, 54536, 12, 3533, 2305, 831, 16597, 5451, 1148, 676, 220, 18, 17, 4, 2714, 23692, 3818, 13, 2823, 13536, 426, 883, 28924, 268, 5451, 5147, 88, 303, 441, 35649, 7828, 559, 11595, 13368, 1147, 1785, 13, 52193, 129579, 465, 794, 12543, 2185, 12385, 48686, 968, 15795, 5451, 4368, 11, 773, 59801, 2956, 426, 9089, 2746, 138971, 831, 16597, 7219, 13785, 220, 20, 15, 14360, 47436, 28924, 268, 5451, 5147, 88, 303, 441, 35649, 794, 9416, 11595, 312, 331, 8935, 529, 6433, 5166, 2030, 20004, 1728, 7997, 2694, 11375, 79697, 266, 1579, 17790, 31357, 60082, 539, 46621, 6395, 17058, 7767, 3246, 960, 14047, 2694, 6489, 268, 20115, 17739, 730, 447, 48672, 367, 2694, 91970, 89249, 2030, 31100, 437, 465, 20404, 1241, 87818, 776, 891, 2660, 320, 1317, 35, 1215, 26769, 28924, 268, 74453, 3371, 76018, 10712, 1656, 559, 295, 85227, 1984, 268, 46646, 2030, 87488, 408, 41011, 263, 74, 1609, 16053, 2148, 273, 41538, 12643, 624, 20250, 261, 8671, 436, 9510, 530, 268, 7828, 559, 11595, 12643, 20004, 86, 14136, 11595, 389, 74, 1609, 32708, 9740, 9855, 1180, 11595, 7219, 6616, 14410, 309, 665, 773, 89, 19893, 23334, 30102, 2694, 28924, 268, 2739, 84884, 11, 13368, 1147, 1785, 13, 2746, 30976, 273, 304, 2694, 88537, 2030, 2746, 24209, 1775, 2185, 6538, 52159, 3591, 844, 129602, 6433, 11, 1634, 375, 40951, 939, 10207, 1704, 21673, 467, 1122, 485, 6308, 645, 5857, 2030, 2694, 87878, 15671, 74303, 2185, 39307, 20004, 86, 14136, 11595, 7219, 2746, 773, 89, 19893, 22507, 36614, 2030, 3371, 9740, 39416, 6538, 9460, 14274, 645, 624, 20, 13, 19, 13, 17, 13, 17, 13, 69176, 263, 74, 37369, 732, 89507, 1147, 529, 333, 449, 1268, 465, 1863, 306, 1440, 198, 42, 3732, 36433, 11, 2746, 4368, 1147, 529, 333, 449, 17029, 288, 10762, 37137, 10721, 12385, 4368, 389, 74, 1609, 86957, 1863, 306, 10721, 14047, 3371, 57123, 3732, 3591, 2694, 1581, 60135, 29618, 1279, 4188, 69701, 384, 5058, 13, 21506, 35505, 11, 47827, 9820, 5841, 333, 33235, 13820, 41011, 263, 74, 1609, 10559, 24209, 1775, 2185, 14047, 896, 23129, 13, 2362, 72998, 268, 12583, 69176, 263, 74, 1609, 268, 10928, 304, 8671, 436, 9510, 530, 268, 29618, 1279, 652, 266, 28122, 58158, 2030, 304, 1032, 71, 585, 3732, 36433, 77868, 332, 64260, 13, 1863, 87205, 27298, 1531, 75260, 2375, 301, 395, 1952, 17235, 1609, 10559, 69176, 696, 2027, 13160, 5451, 41011, 263, 74, 1609, 32708, 58485, 20175, 1751, 48672, 367, 11, 2746, 15462, 47355, 2694, 8873, 360, 54834, 24209, 1775, 2185, 13785, 37060, 13, 12741, 2694, 29413, 7256, 13093, 59226, 458, 8873, 50735, 465, 13017, 64786, 2185, 6538, 13225, 57097, 316, 22722, 268, 13785, 5342, 17917, 6616, 1850, 2636, 10938, 81020, 60637, 2714, 383, 65, 6772, 13, 51310, 18520, 1645, 266, 7256, 467, 19840, 29413, 7180, 28924, 268, 5451, 41011, 336, 40864, 268, 7828, 559, 11595, 12385, 7364, 17058, 8671, 17739, 26692, 269, 20648, 36614, 2030, 5451, 342, 45124, 13, 342, 4671, 261, 65314, 261, 35608, 2185, 5999, 8793, 51721, 25402, 76, 2257, 13, 25481, 16053, 2714, 9855, 1180, 665, 28924, 268, 5451, 137943, 336, 1205, 90830, 47226, 8056, 13977, 261, 2030, 8873, 50735, 465, 24209, 1775, 2185, 74453 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 93328, 15462, 18859, 268, 38453, 61231, 36258, 11, 752, 380, 304, 2694, 16358, 332, 74, 79870, 11, 17630, 624, 20, 13, 19, 13, 17, 13, 18, 13, 69089, 304, 2694, 69176, 263, 74, 37369, 198, 18175, 41011, 263, 74, 1609, 10559, 24209, 1775, 2185, 732, 16358, 332, 9855, 89289, 31551, 4443, 14847, 267, 4368, 7828, 559, 2185, 778, 2191, 287, 2030, 11485, 17029, 9089, 458, 2694, 328, 18, 46168, 275, 3732, 645, 364, 78184, 958, 263, 74, 1609, 10559, 7767, 8208, 1579, 6, 2694, 70165, 64649, 1330, 20542, 7180, 69176, 263, 74, 37369, 2694, 1581, 60135, 29618, 1279, 4188, 69701, 384, 5058, 13, 70219, 276, 23446, 69089, 66368, 68, 12583, 1147, 1785, 13, 2694, 67232, 65, 11706, 17312, 7828, 559, 2185, 6538, 29618, 1279, 22722, 268, 31921, 42, 10911, 220, 16, 15, 2030, 31921, 42, 10911, 220, 17, 18, 11, 2746, 15079, 80369, 323, 45804, 24613, 320, 39, 49541, 9420, 8, 17312, 41663, 395, 2185, 6538, 7416, 267, 2030, 45804, 13279, 28924, 268, 5451, 595, 75024, 21673, 9740, 9855, 1180, 11595, 12385, 6616, 27604, 673, 70526, 4195, 20408, 13, 3874, 72998, 268, 20048, 10928, 607, 37667, 6070, 13820, 31467, 423, 96922, 16034, 84247, 58065, 11, 1147, 1785, 13, 2746, 41011, 263, 74, 1609, 10559, 69028, 67, 562, 1123, 367, 320, 2045, 7671, 28814, 568, 28924, 268, 11, 2746, 732, 69089, 13785, 2429, 38124, 30781, 529, 10246, 4370, 11, 74453, 7219, 53165, 14785, 4368, 41011, 263, 74, 1609, 86957, 13017, 64786, 28122, 844, 6331, 57984, 13, 28924, 268, 5451, 5093, 1362, 32251, 343, 336, 69089, 54594, 20048, 3371, 76018, 4368, 75260, 388, 65845, 6703, 288, 30601, 804, 4188, 649, 31573, 304, 38453, 649, 1387, 80617, 13, 1345, 301, 10559, 7828, 559, 11595, 20048, 8793, 12222, 14047, 7767, 3246, 960, 1763, 55632, 2185, 11, 51290, 6395, 94885, 30632, 268, 28831, 71865, 7906, 723, 85885, 13, 28924, 268, 11, 2746, 6395, 18597, 77, 2694, 9740, 9855, 1180, 2185, 6774, 440, 6250, 3612, 25423, 28122, 2660, 5658, 2142, 268, 7219, 896, 23129, 11, 76120, 7964, 8671, 10559, 7828, 559, 11595, 137943, 34368, 5451, 2694, 22450, 391, 645, 11, 2746, 6395, 17443, 357, 13977, 7052, 268, 91970, 87818, 709, 133666, 12385, 10928, 17058, 595, 75024, 21673, 6250, 57396, 2185, 320, 45702, 14101, 277, 423, 70979, 11, 30512, 9779, 26612, 11, 25348, 21945, 11, 342, 45124, 13, 10928, 3303, 13320, 268, 575, 5849, 6138, 50232, 1440, 15719, 13, 55448, 14047, 22080, 93383, 2694, 389, 74, 1609, 17739, 22450, 391, 645, 15719, 30632, 41557, 4368, 41011, 263, 74, 1609, 32708, 13017, 64786, 28122, 2721, 59226, 1850, 40697, 11, 1147, 1785, 13, 13279, 28924, 268, 5451, 17790, 8793, 668, 45061, 9379, 798, 91970, 87818, 423, 59908, 2185, 12385, 1032, 89, 307, 344, 25423, 15795, 624, 20, 13, 19, 13, 17, 13, 19, 13, 18078, 14184, 89249, 939, 11296, 2694, 16358, 332, 74, 79870, 198, 78184, 958, 263, 74, 1609, 268, 304, 16358, 332, 74, 3732, 36433, 796, 50656, 752, 380, 732, 89507, 6538, 730, 2382, 9538, 12, 12385, 444, 56467, 2111, 3591, 15795, 13, 69176, 263, 74, 1609, 10559, 7767, 8208, 1579, 2030, 70578, 268, 47827, 304, 3371, 38124, 5679, 2694, 4229, 42316, 89249, 2694, 16358, 332, 74, 79870, 53211, 4370, 13, 422, 39129, 142037, 510, 127533, 81548, 9820, 58325, 27265, 2986, 21491, 3556, 27097, 345, 36, 1330, 16789, 15141, 74, 11595, 2694, 83279, 2257, 26612, 2694, 28924, 268, 19767, 69987, 13906, 1923, 325, 49039, 546, 3680, 86, 65935, 22385, 17312, 1774, 76971, 17739, 7767, 8208, 1579, 12385, 14612, 437, 37949, 345, 36, 1330, 16789, 15141, 74, 11595, 732, 91741, 32997, 2030, 2694, 1333, 5742, 759, 46686, 13279, 4893, 674, 22837, 28924, 268, 11, 2746, 304, 54412, 90957, 89, 12543, 932, 10246, 4370, 345, 36, 1330, 16789, 15141, 74, 11595, 2694, 87727, 70449, 804, 136507, 50499, 19767, 1163, 1777, 535, 7786, 11, 362, 870, 1921, 11, 57101, 321, 12070, 76, 5744, 2185, 575, 5849, 624, 20, 13, 19, 13, 17, 13, 20, 13, 22450, 391, 645, 258, 11866, 665, 2030, 1863, 24619, 198, 78184, 958, 263, 74, 1609, 10559, 22450, 391, 645, 13536, 273, 12583, 575, 5849, 13, 510, 33, 365, 41203, 42603, 939, 56184, 14553, 2694, 7767, 3246, 960, 198, 6033, 3101, 27391, 6538, 595, 75024, 21673, 11375, 417, 6297, 320, 30124, 1174, 89, 11, 30512, 9779, 26612, 11, 49279, 2577, 267, 9416, 11595, 4992, 28175, 37, 9416, 1107, 2185, 2694, 1644, 11687, 9299, 16389, 15843, 19786, 70449, 367, 198, 20250, 261, 57849, 38132, 13279, 2694, 92979, 22665, 84, 7073, 24946, 287, 495, 1328, 3591, 198, 35, 39129, 58065, 387, 285, 2493, 2010, 41210, 9443, 58773, 70578, 268, 137943, 16034, 84247, 510, 77, 1122, 388, 65845, 6703, 68, 32345, 142126, 94650, 198, 3523, 268, 17312, 6250, 39416, 724, 2593, 48672, 367, 198, 51, 4738, 268, 805, 848, 46621, 2030, 479, 8398, 40951, 2362, 10353, 198, 45146, 958, 696, 26498, 10559, 18069, 27393, 12, 12385, 2825, 31832, 826, 288, 649, 94650, 320, 1149, 89, 54604, 732, 20037, 2694, 16358, 332, 74, 79870, 93395, 11806, 1960, 1931, 285, 1268, 2257, 340, 20, 13, 19, 13, 17, 13, 21, 13, 69176, 263, 74, 1609, 32708, 13017, 64786, 28122, 2721, 59226, 389, 74, 1609, 32708, 28924, 268, 198, 33, 46887, 84, 28122, 2721, 59226, 2030, 13017, 64786, 28122, 2721, 5186, 8822, 285, 12583, 60637, 8793, 25531, 595, 644, 2672, 306, 13, 28392, 12010, 75, 2667, 2030, 45515, 48414, 508, 18, 60, 2714, 91184, 1960, 458, 10661, 17058, 794, 713, 52329, 6538, 220, 16, 17, 23, 28924, 268, 11, 14948, 9089, 21506, 3371, 8671, 16053, 1656, 559, 33748, 28924, 268, 12222, 220, 18, 21, 4, 2694, 425, 8804, 25651, 268, 41011, 263, 74, 1609, 10559, 92660, 289, 66107, 42888, 13, 758, 38684, 7659, 3591, 47650, 434, 9913, 23647, 57686, 32030, 11, 58319, 2746, 758, 596, 649, 1387, 72164, 6538, 41011, 263, 74, 1609, 17739, 70578, 268, 143562, 13, 54068, 5999, 85227, 94213, 50095, 11, 22075, 198, 26493, 28924, 268, 502, 2391, 64067, 12583, 345, 78612, 4368, 139554, 288, 44492, 2185, 9613, 39219, 17630, 345, 34889, 91970, 87818, 267, 13478, 11845, 45061, 12153, 5999, 345, 62401, 74021, 9820, 42759, 6739, 41011, 73353, 1574, 7828, 559, 2185, 13906, 11567, 5178, 320, 1330, 9433, 70439, 7416, 267, 2030, 45804, 1326, 78612, 15462, 93395, 5306, 268, 2411, 1332, 3977, 267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 321, 39307, 4368, 342, 4671, 12917, 33875, 96049, 89, 709, 133666, 85239, 345, 78612, 9421, 794, 30875, 1960, 5451, 18520, 10712, 220, 16, 15, 15, 13, 15, 15, 15, 18069, 1126, 24134, 932, 58065, 624, 20, 13, 19, 13, 17, 13, 22, 13, 18372, 5679, 6538, 41011, 263, 74, 1609, 17739, 70578, 268, 198, 18175, 30022, 66362, 41011, 263, 74, 1609, 32708, 70578, 268, 7219, 350, 68261, 22722, 268, 12583, 304, 88687, 7659, 3591, 13906, 60297, 21506, 40462, 20404, 4865, 2154, 3122, 1960, 57686, 32030, 30179, 25, 16034, 15462, 305, 1330, 4865, 6772, 2694, 34903, 91647, 26612, 7219, 2746, 8671, 10559, 68378, 2694, 28924, 268, 2030, 1757, 275, 7219, 87862, 65314, 1751, 36614, 11, 16034, 38684, 732, 49633, 83820, 7219, 6616, 20404, 35225, 48985, 273, 7964, 624, 74909, 25655, 47650, 4368, 10294, 2030, 9820, 15819, 43703, 325, 19767, 133429, 508, 19, 1125, 4443, 2746, 468, 1301, 16597, 2694, 30022, 66362, 41011, 263, 74, 1609, 32708, 70578, 268, 6395, 57686, 44977, 13, 468, 8719, 1442, 3818, 47650, 1841, 48672, 4942, 53555, 14840, 47332, 75, 485, 30022, 66362, 7180, 18069, 27393, 12, 2030, 2825, 89097, 45146, 958, 696, 391, 645, 39307, 69176, 291, 3101, 367, 2030, 93395, 70984, 1626, 380, 7256, 30022, 66362, 19767, 350, 4738, 268, 805, 848, 46621, 13, 758, 1991, 288, 35225, 13703, 343, 1960, 96976, 485, 70578, 268, 2030, 28924, 268, 5451, 357, 13977, 7052, 268, 7828, 559, 11595, 15462, 74539, 17392, 66350, 624, 641, 86, 570, 68, 275, 24946, 287, 495, 1328, 3591, 12385, 41011, 263, 74, 1609, 10559, 70578, 268, 67952, 56505, 84858, 12583, 11, 512, 55874, 423, 75, 61673, 303, 6395, 16111, 2712, 11, 5999, 14047, 13368, 13906, 4443, 495, 22449, 13, 758, 2823, 72101, 7219, 15462, 22163, 70, 21673, 76604, 20658, 6538, 91970, 87818, 423, 59908, 2185, 2030, 49371, 273, 7964, 26109, 304, 4368, 6433, 7659, 3591, 4368, 20321, 1524, 18069, 1489, 1854, 939, 274, 11706, 276, 42469, 10805, 8913, 11, 1083, 17058, 59095, 1307, 802, 17739, 91970, 87818, 423, 59908, 2185, 11, 2030, 4368, 4184, 266, 1524, 305, 1330, 4865, 6772, 6538, 38596, 69, 12, 2030, 42722, 77, 28122, 2301, 50499, 81671, 13, 1597, 485, 7659, 3591, 2714, 91184, 1960, 79913, 18069, 1489, 1854, 6538, 24946, 287, 495, 1328, 3591, 7219, 6616, 467, 22181, 261, 9855, 89289, 2030, 6616, 49371, 273, 7964, 13, 9236, 25658, 28698, 9089, 60637, 49633, 41210, 11, 14948, 45804, 93395, 15462, 50490, 59391, 6433, 18069, 1489, 1854, 7219, 6616, 49371, 273, 7964, 8896, 11, 289, 15422, 72, 25986, 10559, 45804, 732, 76604, 20658, 54383, 5451, 17058, 64042, 1580, 2914, 6538, 35675, 59923, 39307, 25222, 850, 17739, 1298, 89, 38809, 2030, 1757, 275, 10712, 2340, 30875, 1579, 10980, 7180, 9820, 84187, 331, 54604, 1298, 4905, 960, 13279, 29618, 1279, 22722, 268, 624, 1806, 86, 1466, 94213, 6772, 5999, 9820, 20004, 86, 14136, 2185, 41011, 263, 74, 1609, 32708, 70578, 268, 7219, 6616, 49371, 273, 7964, 13, 1863, 11455, 47650, 304, 4368, 6433, 88768, 465, 268, 7659, 3591, 76604, 139101, 6395, 17443, 96976, 17392, 49371, 273, 7964, 81671, 11, 58319, 60637, 304, 87791, 268, 7659, 3591, 8793, 5791, 449, 17029, 12643, 16540, 42469, 13, 758, 2694, 25471, 2628, 14821, 9820, 11401, 301, 46728, 6538, 1714, 17739, 74890, 5676, 31008, 7659, 3591, 41852, 73461, 11, 13368, 1147, 1785, 13, 9820, 80260, 20005, 350, 68261, 8221, 37369, 11, 95710, 14612, 437, 75, 28122, 627, 268, 11, 1152, 17958, 10938, 10612, 285, 36616, 11, 1152, 17958, 10938, 6250, 92909, 2185, 11, 83758, 6395, 20153, 1100, 1268, 10938, 794, 2956, 8052, 9913, 23647, 575, 5849, 13, 758, 86, 570, 68, 275, 304, 99122, 8671, 603, 2798, 12543, 359, 1609, 10559, 49890, 331, 28122, 596, 89493, 38383, 9740, 2712, 406, 77, 15398, 90845, 11, 93985, 668, 25655, 86, 23118, 624, 58, 16, 60, 43854, 425, 11, 730, 11611, 86, 81176, 730, 11, 4695, 3662, 1021, 377, 468, 11, 139349, 30102, 358, 11, 794, 12856, 362, 11, 17220, 1952, 60273, 362, 11, 1842, 452, 13, 8907, 4865, 16034, 29618, 1279, 4188, 1528, 12032, 304, 44979, 220, 17, 15, 16, 21, 13, 19846, 25, 8397, 39493, 31500, 3696, 332, 26, 220, 17, 15, 16, 21, 13, 220, 17, 21, 24, 281, 13, 58570, 25, 220, 16, 15, 13, 16, 22, 23, 23, 21, 7382, 13389, 392, 75, 12, 17, 15, 16, 21, 12, 15, 16, 19, 198, 58, 17, 60, 2157, 24134, 529, 362, 11, 39493, 547, 11, 28746, 13, 8536, 72043, 69176, 263, 562, 37369, 13, 479, 44226, 1280, 268, 25, 49769, 1097, 68, 26, 220, 17, 15, 16, 21, 624, 58, 18, 60, 28392, 12010, 75, 2667, 38362, 11, 5540, 425, 11, 2825, 4003, 444, 11, 11375, 49958, 393, 11, 29938, 32950, 13, 81424, 369, 23187, 1824, 304, 9387, 6835, 448, 18210, 476, 34004, 25, 10519, 315, 264, 4285, 1492, 3405, 13, 69176, 263, 66, 2449, 13, 220, 17, 15, 16, 16, 3217, 26, 17, 15, 7, 20, 1648, 20, 17, 20, 12, 18, 16, 13, 58570, 25, 220, 16, 15, 13, 16, 15, 15, 17, 14, 618, 13, 16, 22, 20, 24, 198, 58, 19, 60, 434, 13956, 472, 11, 5016, 8479, 386, 11, 11867, 386, 11, 72717, 75, 547, 11, 1205, 285, 619, 11, 69252, 542, 1194, 431, 13, 29146, 315, 41011, 10326, 66, 38127, 38355, 389, 14269, 34004, 323, 4271, 315, 2272, 304, 6683, 6835, 448, 9387, 25, 36438, 3395, 323, 8823, 55436, 13, 619, 18398, 76754, 337, 13, 220, 17, 15, 16, 18, 13498, 220, 17, 15, 26, 18, 16, 7, 21, 1648, 22, 23, 17, 12, 24, 18, 13, 58570, 25, 220, 16, 15, 13, 16, 17, 15, 15, 31701, 8281, 13, 17, 15, 16, 16, 13, 19, 15, 13, 23, 24, 17, 17, 198, 38279, 303, 83, 547, 13, 220, 20, 13, 19, 13, 17, 13, 69176, 263, 74, 37369, 13, 758, 25, 1581, 258, 7070, 431, 11, 6538, 2429, 13620, 2367, 54077, 506, 11, 28746, 13, 8105, 91853, 72043, 2694, 3264, 76971, 17739, 17235, 37369, 2030, 3264, 76971, 17739, 2055, 8345, 37369, 13, 19846, 25, 5938, 12939, 9965, 479, 4826, 36833, 4678, 26, 220, 17, 15, 16, 23, 14523, 58570, 25, 220, 16, 15, 13, 20, 21, 23, 15, 14, 337, 93470, 15, 15, 15, 15, 23, 19, 151643, 63363, 74, 386, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5906, 1107, 25, 431, 454, 47631, 5699, 896, 17917, 8793, 18520, 198, 17, 22, 13, 15, 21, 13, 17, 15, 16, 17, 220, 15, 20, 25, 17, 17, 488, 35348, 198, 49, 454, 47631, 5699, 896, 17917, 8793, 18520, 198, 49, 454, 47631, 3651, 16597, 25861, 10890, 2660, 67058, 14047, 472, 3454, 2030, 511, 383, 11, 14948, 9089, 7219, 71126, 393, 6130, 79810, 304, 30781, 17739, 2994, 38257, 84858, 8896, 11, 572, 883, 72170, 15462, 330, 2016, 275, 26413, 1, 70298, 406, 13, 73202, 15141, 85348, 6395, 2429, 11, 572, 94572, 7382, 7219, 71126, 393, 6130, 79810, 14047, 56027, 15719, 11, 87231, 10638, 17790, 35276, 15141, 5679, 11, 14948, 10638, 77158, 3408, 713, 6395, 2429, 18520, 69, 610, 304, 36744, 4516, 2739, 2080, 1960, 50201, 9820, 14874, 6538, 42250, 77, 5906, 1107, 57984, 27726, 11, 2694, 10928, 752, 45329, 11, 10638, 58285, 64513, 6395, 2429, 1417, 275, 939, 5166, 1579, 2010, 794, 82017, 80617, 13, 141196, 17630, 8652, 63620, 304, 77420, 21673, 80072, 268, 8486, 824, 70667, 11, 2746, 75590, 22318, 2071, 47355, 88487, 40157, 6395, 2504, 16030, 13, 63678, 17859, 13, 220, 16, 13, 25861, 86913, 12788, 20096, 268, 2504, 16030, 2030, 10638, 86913, 10928, 79913, 98552, 326, 32454, 7522, 13, 71161, 2746, 2823, 21561, 70668, 65562, 7522, 7180, 481, 12385, 70336, 34699, 481, 9089, 34542, 13, 220, 17, 13, 619, 7294, 11, 2694, 44390, 393, 6130, 79810, 2739, 8400, 5178, 11, 15719, 25494, 71935, 2746, 425, 2956, 2280, 483, 50499, 2030, 2746, 33312, 41137, 11595, 88766, 40193, 11, 5451, 2694, 304, 2429, 2739, 2080, 1960, 50201, 34699, 23273, 5436, 32030, 14821, 794, 12543, 2185, 6395, 37896, 13, 6569, 1543, 16292, 687, 640, 3877, 819, 312, 331, 8935, 529, 17917, 10928, 12222, 82195, 406, 2746, 1640, 258, 1963, 50958, 33312, 41137, 11595, 13, 220, 18, 13, 25714, 71126, 393, 6130, 79810, 69499, 2694, 2825, 42950, 20175, 330, 1427, 83126, 333, 301, 7180, 2746, 59330, 2185, 17246, 55314, 22385, 3263, 16887, 25, 330, 41, 7294, 5999, 7180, 38897, 2823, 21561, 70668, 34542, 2739, 69046, 6772, 481, 44390, 393, 6130, 79810, 5999, 11090, 687, 13303, 1268, 465, 14163, 1189, 19000, 50232, 3342, 6395, 20153, 12563, 268, 11, 42046, 566, 723, 6433, 2030, 14269, 268, 38868, 17405, 268, 2030, 10638, 1013, 457, 13279, 582, 1203, 8793, 35951, 11, 572, 422, 98280, 7219, 71126, 393, 6130, 79810, 12709, 134662, 932, 13, 9236, 17837, 1960, 7180, 77814, 6566, 5183, 2746, 678, 64649, 16676, 5573, 12, 3477, 17454, 2030, 5573, 5999, 67952, 2694, 61430, 7256, 2410, 673, 266, 13, 220, 19, 13, 47436, 220, 20, 15, 15, 15, 31921, 7276, 265, 22157, 2030, 13785, 220, 16, 21, 15, 15, 3680, 41928, 42469, 71126, 67489, 546, 11, 2746, 10928, 2746, 90817, 17630, 11, 7219, 71126, 393, 6130, 79810, 5451, 89, 661, 3187, 332, 16030, 11, 2030, 13279, 140729, 14840, 6395, 220, 22, 15, 15, 67489, 9151, 7219, 44390, 393, 6130, 79810, 27726, 10638, 10928, 9421, 77158, 21673, 2825, 34271, 268, 31357, 32936, 90817, 11, 7219, 25469, 6395, 13364, 332, 16030, 13, 220, 20, 13, 19287, 75458, 12732, 31714, 33, 425, 63361, 16844, 81234, 1914, 11, 386, 2801, 468, 687, 57, 2749, 3944, 730, 1898, 5328, 4477, 14309, 59837, 1863, 52, 57, 4521, 2149, 45, 953, 11, 12222, 52507, 9911, 7219, 44390, 393, 6130, 79810, 82942, 535, 295, 47650, 13, 220, 21, 13, 9774, 16840, 47572, 18069, 70333, 276, 304, 6778, 11, 304, 2429, 502, 2391, 4243, 1528, 2030, 51312, 10559, 43999, 74354, 309, 1274, 265, 332, 12643, 11, 27726, 10638, 304, 30781, 17739, 9057, 32030, 2030, 82207, 40662, 66723, 471, 343, 13, 9740, 25658, 1167, 141786, 320, 19462, 5999, 10928, 6538, 2694, 374, 6196, 17739, 3184, 36616, 458, 261, 8656, 406, 568, 220, 22, 13, 51743, 467, 610, 8029, 542, 11, 34699, 2746, 9089, 2694, 1417, 275, 26413, 10928, 61430, 295, 11, 738, 11687, 9089, 7180, 50435, 16840, 47572, 4368, 13, 19000, 82207, 10638, 17859, 13, 3874, 49662, 81429, 2986, 10638, 9911, 13, 220, 23, 13, 25861, 82207, 1531, 21864, 129059, 3342, 343, 11, 95038, 6395, 13364, 332, 16030, 11, 1508, 77016, 61634, 42137, 13, 14268, 51528, 6616, 773, 13906, 11, 10712, 1508, 883, 15462, 330, 372, 709, 81112, 1960, 41526, 932, 610, 73869, 1, 2739, 75, 844, 13, 8408, 330, 24765, 12495, 69, 79985, 2185, 1, 304, 2429, 2739, 2080, 1960, 50201, 16111, 5840, 53165, 32595, 7219, 23273, 68876, 773, 624, 47789, 288, 21756, 939, 647, 1087, 11042, 19875, 939, 142791, 90527, 17739, 50244, 331, 82872, 939, 29608, 477, 1134, 5999, 458, 5016, 2305, 16154, 26612, 8793, 6395, 10489, 9160, 64260, 13, 3651, 16597, 5693, 17029, 13368, 4368, 393, 1362, 85, 962, 11, 2694, 9089, 74054, 435, 11855, 1151, 295, 11, 2714, 58881, 12222, 2746, 40407, 95898, 33254, 11, 572, 304, 3371, 1863, 12543, 932, 1494, 18849, 11, 42137, 8793, 38897, 328, 1777, 13, 56231, 58881, 18302, 288, 2521, 17395, 28122, 35225, 15462, 393, 1362, 11, 304, 2429, 1531, 773, 1147, 4733, 426, 13368, 7219, 3651, 16597, 53936, 393, 6130, 79810, 28883, 33328, 33481, 2185, 5699, 11567, 26824, 13, 9740, 75315, 59765, 49536, 11, 9820, 67775, 267, 391, 1536, 258, 6395, 143562, 11, 2746, 9089, 9820, 330, 73, 2391, 4243, 1528, 1, 12100, 25058, 645, 2030, 88537, 53383, 26924, 10215, 529, 8896, 13, 20004, 2429, 1205, 4079, 76, 15938, 778, 813, 13518, 11, 2694, 9911, 3893, 37400, 83, 8896, 11, 7845, 665, 9911, 15462, 502, 2391, 4243, 7522, 4229, 273, 4079, 1960, 2030, 35724, 6863, 261, 652, 962, 11, 54649, 386, 6207, 294, 4865, 7714, 9911, 9820, 730, 57, 12, 4651, 1174, 1079, 33312, 2178, 458, 13, 51709, 268, 62401, 36408, 437, 9911, 17790, 9820, 77775, 26976, 11, 304, 2694, 9911, 10712, 330, 53, 29886, 1404, 258, 1, 933, 17029, 13, 422, 395, 9820, 1197, 29032, 76, 665, 11960, 265, 9089, 7219, 26769, 1205, 1064, 647, 16568, 457, 47708, 2649, 83, 11, 2746, 24440, 10712, 10772, 69215, 422, 4865, 84409, 95243, 1197, 709, 12032, 43243, 5183, 11, 15269, 276, 8896, 2694, 386, 16074, 3667, 276, 261, 15928, 1579, 34123, 72511, 59765, 9421, 89, 18187, 5679, 13, 2362, 98863, 6817, 321, 11, 2714, 75315, 1531, 330, 86, 1776, 129059, 3342, 343, 11, 95038, 6395, 13364, 332, 16030, 11, 1508, 77016, 61634, 42137, 3263, 71161, 9911, 5999, 68876, 2746, 5166, 6538 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 619, 2391, 72811, 11, 7219, 2746, 2694, 11213, 268, 24716, 1241, 3651, 16597, 668, 136507, 3342, 11, 2030, 2714, 5999, 24440, 20004, 628, 7070, 11, 2694, 38897, 472, 21545, 7522, 5699, 28658, 85348, 13785, 9911, 305, 41203, 13, 14804, 7180, 9820, 328, 3356, 815, 325, 0, 1863, 27105, 1345, 8398, 11, 4368, 64477, 88729, 25, 35780, 61634, 5999, 11, 1850, 318, 5676, 16111, 4894, 35, 395, 3651, 16597, 13279, 220, 20, 15, 15, 15, 31921, 7276, 265, 22157, 11, 220, 16, 21, 15, 15, 3680, 26378, 306, 268, 53936, 320, 2660, 380, 35515, 86873, 6130, 6433, 8, 67489, 546, 2030, 330, 83, 2305, 28494, 14840, 6395, 220, 22, 15, 15, 67489, 9151, 1, 7219, 53936, 393, 6130, 79810, 2746, 30512, 1902, 4865, 2739, 742, 529, 2030, 7180, 3371, 422, 24638, 11, 2694, 7219, 53936, 393, 6130, 79810, 54395, 1528, 396, 11, 8793, 2739, 69046, 6772, 19349, 66316, 11, 15719, 883, 14047, 85, 965, 13536, 12032, 13, 2009, 68627, 11, 304, 36744, 393, 43226, 305, 41203, 2714, 1531, 5451, 2694, 467, 15113, 22385, 773, 13368, 38897, 47375, 12, 2030, 71712, 73, 2391, 72811, 5451, 71017, 11213, 2367, 258, 13, 42079, 83281, 25, 330, 1427, 83126, 333, 301, 7180, 2746, 59330, 2185, 17246, 55314, 22385, 3263, 142839, 1147, 724, 17029, 2714, 2030, 5699, 2660, 285, 267, 1967, 1070, 435, 11855, 11, 87862, 59330, 2185, 58442, 8793, 6368, 267, 13, 2308, 331, 1079, 220, 24, 13, 17, 13, 1736, 7714, 2714, 26769, 9740, 77131, 2185, 25, 1591, 7462, 3981, 393, 6130, 79810, 54383, 7180, 2746, 70944, 23870, 34699, 51743, 467, 610, 8029, 542, 2030, 3371, 198, 10629, 47572, 18069, 70333, 276, 8793, 17312, 90769, 13, 25861, 27726, 2746, 6252, 1440, 9354, 1174, 11, 31643, 267, 11, 444, 9151, 89, 39307, 46613, 94716, 30102, 11, 51743, 350, 3092, 88, 2030, 90086, 17406, 67442, 355, 268, 2504, 17029, 10040, 7, 2428, 1110, 2136, 19599, 905, 7382, 454, 47631, 64136, 16597, 51311, 14, 18, 22, 15, 19, 20, 22, 22, 15, 21, 17, 24, 24, 17, 15, 19, 340, 1658, 67594, 2694, 467, 610, 8029, 542, 84911, 1070, 95723, 11, 14948, 9911, 140527, 74565, 13785, 37400, 83, 5999, 11, 9911, 42137, 9820, 619, 2391, 72811, 13, 9236, 27298, 10928, 1967, 1070, 11, 2746, 9089, 7180, 10588, 11, 66206, 12385, 3371, 141775, 6538, 31398, 92159, 95723, 13, 3651, 16597, 19104, 5999, 4368, 444, 2391, 70, 1194, 13, 19051, 77, 5451, 17443, 393, 1362, 85, 962, 6395, 37801, 273, 28324, 11, 68573, 9820, 2823, 273, 307, 42603, 13, 45481, 53165, 458, 47635, 6433, 393, 1362, 85, 962, 13, 151643, 17, 17, 24, 21, 17, 2030, 34749, 15335, 27929, 3591, 81936, 529, 11595, 198, 42, 14012, 1469, 15335, 27929, 3591, 81936, 529, 11595, 304, 220, 17, 17, 24, 21, 17, 198, 39041, 24585, 304, 17058, 74227, 6433, 479, 87045, 304, 220, 17, 17, 24, 21, 17, 15719, 2694, 44602, 268, 36702, 54594, 28086, 25494, 4151, 16030, 13, 49371, 15462, 13906, 41137, 65, 9151, 60939, 2739, 139376, 20005, 50244, 8535, 6395, 282, 32251, 268, 11, 5999, 1757, 275, 17299, 35515, 1268, 343, 13, 506, 723, 76, 1127, 12643, 15335, 27929, 3591, 6538, 68042, 87040, 11, 58319, 2739, 4554, 28421, 56945, 11, 6395, 139554, 268, 6250, 4554, 87083, 1726, 23129, 10712, 2694, 57123, 54594, 939, 44602, 724, 2739, 6984, 268, 47008, 67594, 624, 32617, 68312, 17029, 63027, 9964, 72, 613, 773, 11, 14948, 2746, 90080, 306, 2391, 1174, 2746, 15335, 27929, 645, 6395, 17443, 39771, 342, 59391, 7272, 268, 60939, 458, 65, 33254, 2030, 15588, 932, 610, 458, 3371, 3680, 88487, 2739, 129076, 7997, 932, 11, 2694, 3371, 141963, 15795, 13017, 4101, 7180, 6616, 26639, 17149, 6395, 1147, 58193, 26933, 275, 5999, 13, 58154, 805, 57926, 11595, 12643, 315, 13730, 1127, 6538, 55857, 21558, 2892, 342, 8398, 5840, 13, 23980, 14821, 2429, 58154, 2245, 433, 306, 268, 315, 13730, 1127, 10928, 773, 5451, 455, 68, 2963, 624, 1514, 4079, 65733, 5999, 7180, 2746, 26639, 17149, 81936, 529, 2185, 4368, 4808, 7073, 15335, 27929, 3591, 48562, 1536, 624, 80593, 15462, 37337, 142674, 7272, 12583, 14259, 406, 77, 15398, 13785, 3371, 44340, 12709, 132894, 267, 65733, 198, 26034, 68102, 2746, 36852, 57926, 19875, 434, 9913, 23647, 17058, 10890, 6862, 306, 268, 15335, 27929, 3591, 81936, 529, 2185, 15269, 30, 96943, 5999, 6616, 467, 36964, 939, 6250, 74, 2305, 1704, 388, 6538, 13093, 60053, 2185, 13, 51310, 386, 6309, 458, 6250, 74, 129076, 78733, 6538, 26639, 1225, 1960, 75130, 8793, 65681, 18078, 57926, 2030, 12583, 93328, 7219, 3371, 4808, 15671, 39324, 1536, 6454, 365, 93840, 13, 42079, 32157, 268, 7180, 15335, 27929, 3591, 14821, 24929, 2714, 35608, 295, 11, 14948, 8495, 24929, 3371, 1850, 76, 61897, 21673, 60939, 1059, 63051, 331, 54708, 13, 647, 24619, 39324, 1536, 85239, 9089, 732, 92283, 5451, 52716, 15495, 2185, 52028, 268, 2030, 71017, 14187, 57423, 13, 25714, 12442, 9034, 47404, 12643, 2746, 61430, 6433, 26639, 1225, 13730, 585, 1536, 81671, 5267, 49, 4865, 7256, 36866, 585, 790, 1270, 268, 12583, 7219, 44160, 67435, 2746, 63583, 27929, 3591, 4580, 50958, 2285, 13, 6395, 35103, 13, 34903, 20048, 43860, 21766, 92660, 44160, 41663, 65224, 2030, 23898, 288, 467, 1038, 724, 7219, 36744, 44336, 3891, 13368, 22539, 66107, 13920, 82197, 13, 1863, 87205, 12583, 16111, 13279, 70777, 55928, 29413, 2714, 40334, 2257, 624, 17360, 5999, 137943, 8793, 71935, 2746, 31954, 265, 40951, 15335, 27929, 3591, 81936, 529, 2185, 304, 220, 17, 17, 24, 21, 17, 77868, 1704, 529, 6433, 11, 2994, 9089, 47143, 15335, 27929, 3591, 11, 2746, 9089, 37146, 12709, 71, 8138, 77, 2030, 9089, 732, 11806, 7964, 44336, 3891, 81616, 268, 11, 42046, 66653, 6395, 26956, 50958, 12583, 13, 19000, 15719, 10928, 458, 3371, 94788, 12495, 8755, 74, 14649, 268, 11, 13368, 17443, 11122, 71, 6433, 15577, 371, 12385, 17058, 25851, 268, 93912, 65, 747, 1489, 12070, 2185, 11, 10246, 4370, 13, 45481, 9820, 93898, 17152, 9820, 15335, 27929, 3591, 81936, 529, 2185, 6395, 1197, 6566, 30353, 11, 5999, 939, 49662, 35515, 1268, 343, 13, 12741, 78445, 15719, 12222, 80122, 939, 57123, 54594, 288, 939, 44602, 724, 55449, 2125, 295, 12643, 13, 60423, 2746, 22665, 70628, 7828, 59141, 939, 730, 2305, 1704, 388, 5999, 2694, 9063, 9421, 89, 372, 45699, 624, 80593, 2746, 9740, 265, 2125, 2185, 36108, 44602, 268, 36702, 54594, 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 ]

[ 12583, 2746, 47227, 55754, 1640, 9433, 70439, 2746, 28086, 2739, 129076, 7997, 50958, 26639, 66362, 9179, 49662, 46668, 44336, 3891, 288, 13, 1345, 4079, 80260, 6772, 12583, 12412, 62401, 7906, 88660, 2746, 4968, 1064, 2694, 22665, 70628, 26639, 66362, 13, 362, 900, 261, 325, 1199, 57686, 98975, 9089, 2429, 89, 1704, 337, 709, 2746, 22665, 70628, 140526, 21673, 58154, 1726, 1064, 7906, 52662, 539, 44275, 37146, 13, 2823, 318, 15462, 26639, 17149, 5999, 9820, 7906, 52662, 539, 44275, 133862, 1279, 1528, 18069, 71832, 129056, 1528, 2030, 28789, 38684, 26639, 17149, 2746, 42759, 6739, 39324, 1536, 776, 13013, 2694, 47227, 17058, 60939, 5342, 7272, 2185, 13, 468, 7964, 704, 434, 9913, 23647, 11, 58319, 19658, 268, 11, 13368, 16034, 79192, 9820, 63630, 654, 11866, 450, 84732, 2429, 47375, 11, 12583, 1634, 375, 40951, 11, 58319, 5451, 11321, 72442, 12643, 47827, 624, 18175, 9740, 376, 2032, 54594, 61286, 2125, 2185, 304, 220, 17, 17, 24, 21, 17, 2030, 220, 17, 19, 23, 15, 15, 2030, 2746, 431, 408, 632, 61286, 2125, 2185, 69499, 1531, 84732, 2429, 44602, 268, 36702, 54594, 10928, 6395, 11321, 1960, 65, 17366, 53776, 13, 18069, 51583, 610, 465, 15719, 47226, 57519, 80260, 21673, 34278, 3843, 2305, 1960, 9421, 86, 85242, 13, 43997, 1531, 304, 2694, 8800, 36614, 10928, 8793, 19767, 94873, 408, 2694, 14785, 5999, 11, 50926, 13279, 50041, 1032, 2125, 11595, 6616, 29003, 12063, 78796, 285, 2714, 8345, 3818, 12643, 624, 35, 395, 2694, 37337, 142674, 7272, 13785, 220, 17, 17, 24, 21, 17, 39307, 3371, 15577, 371, 6051, 17029, 5999, 11, 5999, 357, 1415, 1147, 26862, 6772, 65733, 13, 38472, 74857, 50926, 7219, 15462, 8459, 72, 20866, 11, 12442, 9034, 9089, 9421, 4188, 776, 7522, 17859, 304, 2694, 16868, 58791, 6433, 2521, 2576, 20542, 9421, 2712, 406, 13, 71161, 6069, 343, 6772, 773, 15719, 5451, 2429, 53129, 268, 58154, 1726, 285, 66287, 2125, 295, 12643, 624, 4416, 78733, 8495, 1079, 6250, 4554, 1704, 12385, 458, 17443, 9740, 6566, 65, 9179, 71, 585, 65, 6538, 220, 17, 17, 24, 21, 17, 5665, 23318, 17630, 11, 74453, 8495, 9089, 458, 3371, 8459, 285, 19051, 416, 6250, 2172, 84, 724, 435, 28698, 13, 47436, 8438, 950, 645, 63583, 27929, 3591, 4580, 50958, 2285, 37896, 8495, 3371, 10890, 6862, 306, 268, 38453, 61231, 36258, 5451, 467, 36964, 2030, 14259, 406, 77, 36964, 13785, 9820, 2521, 2576, 20542, 9421, 3903, 343, 13, 86784, 15335, 27929, 3591, 81936, 529, 2185, 304, 220, 17, 17, 24, 21, 17, 151643, 16, 5, 16, 45558, 609, 220, 16, 1241, 16, 69830, 10991, 92918, 4553, 12543, 1199, 331, 2863, 198, 16, 5, 16, 45558, 609, 220, 16, 1241, 16, 69830, 10991, 92918, 304, 220, 15, 23, 19, 20, 16, 4553, 12543, 1199, 331, 2863, 198, 16, 5, 16, 10991, 92918, 304, 220, 15, 23, 19, 20, 16, 4553, 12543, 1199, 331, 2863, 198, 16, 5, 16, 14028, 4553, 12543, 1199, 331, 2863, 198, 16, 1241, 16, 10991, 92918, 4553, 12543, 1199, 331, 2863, 198, 38, 59391, 7256, 220, 16, 5, 16, 10991, 92918, 7180, 220, 15, 23, 19, 20, 16, 4553, 12543, 1199, 331, 2863, 5999, 23898, 4389, 84091, 28324, 0, 34903, 82197, 43860, 54064, 49536, 3371, 61430, 6433, 220, 16, 1241, 16, 69830, 12, 2030, 220, 16, 5, 16, 45558, 12, 10141, 52015, 7180, 4553, 12543, 1199, 331, 2863, 6395, 35103, 13, 19000, 5282, 632, 83600, 2576, 87176, 376, 372, 60729, 43860, 1494, 10938, 89452, 11595, 7180, 70836, 22665, 70628, 1527, 87227, 28122, 13464, 13, 57782, 16030, 8495, 6538, 20226, 9151, 4509, 3101, 4974, 77, 11, 707, 6591, 50958, 1298, 89, 38809, 2030, 6909, 6222, 2800, 11, 22075, 1531, 6395, 74890, 5676, 51528, 13, 38747, 62401, 51327, 723, 43860, 44367, 86784, 220, 17, 19, 14, 22, 32157, 268, 11278, 354, 1056, 28883, 52287, 467, 19840, 2986, 14668, 13, 220, 16, 5, 16, 5999, 5362, 12, 609, 60939, 29553, 13277, 2030, 9057, 11042, 83, 9820, 3275, 490, 610, 65078, 85740, 68, 92283, 28242, 928, 36614, 624, 54370, 77012, 220, 16, 5, 16, 5379, 5475, 76120, 7964, 8495, 1850, 288, 70847, 732, 24851, 5679, 47375, 304, 4553, 12543, 1199, 331, 2863, 13, 14133, 14047, 137208, 19051, 416, 14101, 4776, 12385, 98344, 66809, 13, 73360, 627, 2030, 4759, 14047, 35346, 19154, 50499, 19051, 416, 1527, 21062, 75, 82872, 11, 68102, 16111, 43860, 95710, 5379, 5475, 17312, 90769, 11, 4443, 6616, 7553, 1574, 9421, 77065, 1527, 21062, 75, 1854, 83380, 25655, 8452, 268, 13, 14133, 14047, 5379, 5475, 20048, 9911, 14840, 6395, 220, 20, 13563, 31341, 93644, 11567, 26824, 2030, 773, 11, 5451, 14840, 6395, 220, 20, 88687, 16212, 76, 932, 42150, 16030, 13, 45481, 678, 38472, 38684, 19929, 2305, 665, 69499, 6616, 220, 16, 5, 16, 70847, 19625, 388, 1726, 7522, 25, 61043, 485, 32157, 268, 90845, 38472, 19929, 2305, 665, 1640, 92283, 13, 18069, 1527, 81, 1704, 4081, 2391, 5178, 4894, 37, 56364, 16034, 220, 16, 5, 16, 69830, 69, 3122, 423, 52015, 304, 4553, 12543, 1199, 331, 2863, 198, 44, 27929, 69, 3122, 423, 376, 70668, 17630, 25494, 41983, 1527, 87227, 11595, 13, 25006, 1528, 70777, 50926, 883, 9089, 10712, 6250, 14383, 73612, 68102, 11, 22075, 8495, 304, 4553, 12543, 1199, 331, 2863, 289, 3103, 268, 30, 151643, 53750, 16631, 54422, 24803, 37699, 835, 6772, 7219, 18092, 0, 9740, 273, 7964, 8495, 2746, 13016, 96049, 96185, 6538, 9857, 31003, 17790, 54459, 304, 1850, 261, 98060, 6395, 472, 3454, 13, 151643, 7623, 608, 14373, 608, 1731, 608, 8847, 1942, 198, 44, 45699, 8495, 2926, 1942, 0, 5267, 1658, 67594, 458, 37060, 11, 14948, 19767, 2746, 20004, 20512, 50158, 939, 8105, 5251, 838, 2338, 2746, 8213, 5251, 291, 3591, 25531, 357, 13977, 7052, 458, 13093, 60053, 2185, 2739, 5623, 268, 13, 41663, 74374, 85239, 60637, 11, 14948, 1531, 10928, 595, 16074, 723, 343, 28883, 3371, 8213, 7671, 485, 713, 35323, 8793, 62459, 14821, 13, 64477, 81, 1942, 665, 35780, 65, 336, 95283, 12643, 30632, 41557, 9820, 90796, 7256, 30976, 273, 58237, 11, 51939, 9911, 17630, 9820, 1147, 306, 45040, 14390, 14295, 95905, 7276, 3122, 27391, 11, 2746, 5451, 48803, 336, 38684, 24355, 220, 44146, 11687, 12643, 15719, 13, 42616, 19104, 2872, 87481, 883, 50435, 74219, 773, 11, 14948, 6616, 6250, 71, 29802, 1517, 285, 6538, 60939, 2030, 98060, 22823, 7219, 2746, 13093 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5186, 8822, 15398, 939, 33312, 25402, 48874, 9421, 1389, 89730, 5999, 5267, 37, 337, 58773, 647, 6670, 71, 724, 41210, 8896, 9089, 12412, 26956, 21519, 3342, 510, 40, 267, 57916, 5774, 325, 25, 17821, 68, 25714, 61286, 50158, 2030, 607, 37667, 6070, 13820, 2521, 17395, 2185, 2694, 91304, 343, 1960, 8213, 6691, 3342, 28855, 198, 36, 13762, 19985, 2185, 2694, 46954, 304, 7491, 7997, 45061, 811, 307, 13820, 730, 1692, 7455, 12, 16583, 198, 21367, 318, 36616, 2694, 10230, 3591, 320, 29159, 2429, 1634, 78881, 2694, 55248, 891, 579, 19875, 98060, 340, 21367, 318, 36616, 2694, 1298, 89, 433, 370, 43183, 66075, 320, 6566, 1850, 32863, 13279, 289, 336, 11, 54505, 2030, 4116, 372, 50805, 96135, 36807, 50244, 331, 38013, 28122, 423, 96922, 5451, 2429, 77356, 11, 3371, 3446, 645, 22823, 268, 60404, 267, 273, 1571, 9421, 3903, 343, 6395, 37896, 198, 33, 365, 529, 2185, 2030, 2340, 2391, 78606, 2694, 98060, 2030, 2694, 28275, 39416, 50499, 2694, 60404, 267, 273, 1571, 198, 53, 2375, 8229, 458, 10661, 3802, 1268, 465, 93403, 57926, 28122, 59785, 54708, 198, 62980, 36616, 2030, 23334, 746, 38132, 939, 47669, 2030, 7553, 77399, 23388, 54749, 288, 198, 32, 1387, 12583, 566, 32997, 332, 424, 2926, 1942, 12, 2030, 58009, 4813, 612, 68, 732, 61197, 650, 423, 89, 4865, 2257, 481, 2739, 1723, 45699, 19104, 7219, 2694, 38684, 47404, 8793, 650, 261, 383, 65, 20005, 40866, 320, 65397, 2305, 870, 66860, 11, 350, 26576, 11, 467, 471, 2185, 11, 468, 63274, 11, 4992, 35334, 2055, 12583, 304, 3371, 66968, 220, 20, 45506, 2746, 20404, 309, 6242, 14012, 7180, 6616, 58009, 16030, 2030, 2926, 96990, 4443, 18520, 10712, 220, 18, 15, 4, 12743, 645, 4370, 13, 8408, 3582, 17739, 70038, 45699, 7180, 26769, 40866, 5342, 7272, 11595, 12583, 510, 33876, 680, 268, 12643, 12412, 752, 380, 12222, 12304, 220, 19, 12, 20, 48015, 633, 14033, 17917, 13, 1863, 87205, 93096, 31008, 74219, 304, 3371, 84701, 434, 32251, 268, 8793, 16034, 84687, 45061, 56539, 939, 33312, 25402, 48874, 13, 23980, 4087, 343, 529, 2746, 55857, 15113, 11, 14948, 12412, 9820, 48745, 610, 139376, 42603, 67317, 3903, 295, 13, 98317, 25069, 268, 13785, 38383, 87479, 2030, 7001, 1609, 3591, 58065, 752, 380, 21982, 8688, 135453, 6433, 2030, 1842, 370, 742, 50958, 21491, 802, 54834, 13, 19000, 50232, 3342, 53797, 11, 14948, 9820, 58694, 36614, 2030, 26639, 17149, 344, 36614, 8793, 25531, 22539, 36956, 273, 380, 295, 5999, 13, 1863, 87205, 2739, 1723, 45699, 2746, 29448, 11706, 268, 739, 8166, 20542, 268, 11, 1640, 9433, 70439, 13279, 3371, 467, 471, 28122, 12, 2030, 30716, 16754, 14012, 11, 315, 13730, 1127, 9820, 60939, 4580, 40455, 732, 4929, 66075, 2694, 6250, 376, 2032, 29413, 624, 1072, 4025, 2030, 2839, 17149, 533, 4389, 8935, 79985, 2185, 22996, 2391, 28494, 26956, 36956, 465, 7001, 1609, 3591, 2030, 6481, 261, 5547, 38140, 198, 2250, 69936, 6538, 7491, 7997, 45061, 811, 307, 50958, 8213, 15843, 263, 54749, 268, 2030, 19709, 939, 140526, 21673, 13093, 277, 3848, 732, 61197, 151643, 32617, 68517, 50008, 6237, 37953, 6051, 17029, 25, 8876, 431, 39337, 3848, 481, 75410, 2694, 13452, 7964, 220, 16, 24, 13, 6702, 220, 17, 15, 16, 15, 14840, 220, 17, 18, 13, 4350, 18731, 220, 17, 15, 16, 16, 481, 80331, 12, 1241, 15843, 76431, 481, 7060, 1371, 64726, 7066, 7522, 905, 198, 32617, 68517, 50008, 6237, 37953, 6051, 17029, 25, 8876, 431, 39337, 3848, 481, 75410, 2694, 13452, 7964, 220, 16, 24, 13, 6702, 220, 17, 15, 16, 15, 14840, 220, 17, 18, 13, 4350, 18731, 220, 17, 15, 16, 16, 198, 54370, 40897, 220, 16, 15, 15, 31145, 2305, 507, 268, 11, 9919, 713, 77, 11595, 11, 362, 5151, 79788, 2030, 74683, 61473, 14033, 4160, 60729, 2746, 20004, 54377, 330, 40942, 431, 39337, 3848, 481, 75410, 2694, 13452, 7964, 1, 732, 73189, 11278, 11855, 304, 11461, 472, 2855, 5556, 21982, 220, 16, 24, 13, 6702, 220, 17, 15, 16, 15, 14840, 220, 17, 18, 13, 4350, 18731, 220, 17, 15, 16, 16, 15462, 4443, 69, 395, 19875, 49371, 83820, 13785, 6616, 89423, 939, 730, 59391, 9254, 9421, 2429, 18078, 11042, 939, 65435, 31551, 50008, 6237, 472, 8535, 624, 1, 1514, 482, 8394, 485, 72, 5999, 75410, 2694, 13452, 7964, 497, 5699, 44914, 2694, 64237, 70552, 12, 6464, 2391, 900, 34031, 73110, 65435, 31551, 732, 37419, 220, 16, 24, 15, 20, 13785, 3371, 8394, 261, 624, 40942, 431, 39337, 3848, 1147, 83049, 6395, 3371, 18069, 27393, 70, 25423, 932, 21506, 3371, 730, 59391, 75, 932, 2694, 43427, 811, 13, 19000, 312, 12063, 89423, 939, 4937, 9911, 7964, 37419, 89, 2636, 23446, 5699, 2649, 19875, 730, 59391, 9254, 1197, 2685, 304, 17058, 468, 5368, 1528, 13791, 13977, 261, 595, 59391, 1536, 32708, 4863, 21188, 75, 11595, 13, 42616, 99025, 4368, 61805, 261, 8394, 261, 2498, 2714, 3371, 47669, 80331, 83, 19875, 5679, 53936, 28831, 87533, 139115, 11, 28883, 49536, 38897, 34734, 1952, 58459, 79, 802, 10559, 20465, 23348, 88185, 7219, 89, 4733, 7964, 624, 1514, 482, 8907, 1704, 2185, 14047, 472, 8535, 732, 37419, 220, 16, 24, 15, 16, 1868, 17029, 3371, 18597, 77, 17058, 650, 37285, 2956, 24134, 21673, 46793, 1268, 25141, 13, 33312, 2429, 468, 80587, 1942, 2694, 6538, 65435, 31551, 7219, 42153, 2717, 268, 8224, 1014, 2185, 6481, 261, 61921, 2305, 32708, 80331, 11, 2746, 732, 220, 16, 24, 15, 17, 2714, 51176, 4711, 268, 16328, 64237, 70552, 3893, 96695, 26109, 11, 17837, 524, 665, 431, 39337, 3848, 10712, 220, 20, 17, 13333, 36956, 7272, 11, 9421, 87027, 37700, 730, 59391, 1536, 13785, 2746, 362, 810, 75731, 44146, 38132, 5451, 6898, 356, 963, 89, 20368, 11, 34307, 5242, 479, 63936, 2030, 3199, 21601, 386, 3185, 5699, 83090, 6395, 17058, 47669, 11, 40157, 650, 423, 896, 90830, 65, 9151, 13452, 65, 12, 2030, 3377, 724, 649, 1777, 13, 16354, 275, 26109, 2714, 16034, 58534, 4370, 3662, 268, 97168, 44275, 502, 2391, 64067, 261, 8394, 261, 2694, 92191, 16378, 380, 826, 17252, 624, 18175, 13452, 1371, 10712, 1147, 306, 956, 642, 53899, 61806, 3563, 95283, 22539, 1020, 49536, 18520, 2030, 18520, 7577, 72, 22385, 304, 72440, 89423, 13, 33328, 60297, 304, 59228, 362, 5151, 79788, 2030, 74683, 61473, 14033, 4160, 2694, 24396, 12070, 7272, 2030, 32101, 36947, 7272, 48015, 80129 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 301, 665, 431, 39337, 3848, 5699, 83090, 650, 423, 3408, 713, 20005, 13452, 65, 8125, 4865, 15843, 316, 3487, 268, 6538, 5699, 2911, 1659, 4058, 41064, 89, 13, 468, 80587, 1942, 3492, 965, 2030, 3275, 490, 41203, 343, 12583, 9911, 198, 258, 2694, 20004, 54377, 304, 11461, 472, 2855, 5556, 19767, 31643, 1268, 277, 50656, 5451, 393, 1489, 276, 5679, 12, 2030, 1640, 9433, 70439, 2502, 372, 5153, 41137, 11595, 5198, 85885, 624, 32617, 732, 6156, 220, 17, 15, 15, 24, 26252, 261, 51176, 4711, 68, 65435, 31551, 16328, 472, 8535, 9057, 11042, 83, 1148, 676, 220, 20, 15, 15, 35780, 440, 9421, 64774, 2501, 21673, 89423, 50380, 268, 6538, 8876, 431, 39337, 3848, 2030, 2739, 30166, 5178, 1757, 275, 13785, 2746, 74539, 665, 8224, 1014, 2185, 939, 730, 59391, 9254, 624, 1, 49, 39337, 3848, 5999, 8394, 261, 13368, 37357, 7256, 11, 19104, 13906, 60297, 5999, 2714, 730, 59391, 1536, 13, 1345, 482, 5166, 11, 2746, 80331, 304, 2694, 39449, 6395, 53835, 11, 5999, 28724, 471, 343, 11, 38897, 1205, 1064, 11, 9911, 330, 1923, 11855, 50203, 72, 26824, 497, 25531, 34542, 130337, 13, 56580, 2694, 51892, 268, 15795, 11020, 54536, 511, 1543, 5016, 2649, 724, 35103, 732, 39449, 709, 133666, 24440, 4368, 343, 408, 288, 16936, 13, 1345, 482, 5016, 2956, 15897, 11595, 566, 7964, 2746, 3496, 273, 939, 13017, 81, 610, 5045, 1640, 50559, 2694, 139349, 22385, 976, 4308, 497, 592, 2391, 8155, 13820, 2694, 64237, 70552, 12, 6464, 2391, 900, 2030, 1850, 21545, 7256, 386, 2305, 5679, 939, 730, 59391, 9254, 11, 34031, 73110, 65435, 31551, 458, 4188, 4865, 82, 2694, 8394, 485, 72, 6538, 8876, 431, 39337, 3848, 13, 151643, 1143, 26862, 70, 2863, 17152, 17298, 359, 12429, 758, 97229, 30682, 86, 15938, 758, 97229, 25, 18876, 275, 1524, 75074, 83820, 13279, 2694, 34624, 2488, 51898, 3004, 309, 1014, 2185, 198, 16, 23, 13, 15, 17, 13, 16, 19, 220, 16, 15, 25, 16, 15, 84301, 87481, 25, 220, 16, 23, 13, 15, 17, 13, 16, 19, 220, 16, 15, 25, 17, 21, 41, 1466, 2488, 51898, 3004, 309, 1014, 2185, 2694, 30682, 86, 15938, 758, 97229, 50855, 7964, 63657, 28275, 86, 53152, 7671, 2375, 86, 15938, 1536, 198, 20043, 6802, 22346, 5284, 14, 294, 6595, 41, 1466, 2488, 51898, 3004, 309, 1014, 2185, 2694, 30682, 86, 15938, 758, 97229, 13, 20043, 6802, 22346, 5284, 14, 294, 6595, 641, 97229, 481, 18069, 63656, 434, 1370, 275, 8896, 2746, 30682, 86, 15938, 13279, 54649, 34624, 2488, 51898, 3004, 309, 1014, 2185, 41150, 11706, 13, 12741, 70407, 2030, 794, 337, 89, 342, 3145, 13906, 60297, 3371, 141785, 89, 932, 2030, 3371, 28275, 86, 53152, 7671, 2375, 86, 610, 11544, 932, 624, 18175, 30682, 86, 15938, 758, 97229, 15719, 7219, 220, 18, 24, 22318, 533, 2030, 220, 16, 21, 27879, 77094, 7294, 49503, 15525, 55339, 13, 19000, 10207, 89730, 43157, 1199, 20542, 82, 273, 2015, 7937, 15696, 89, 1194, 13279, 2694, 34624, 2488, 51898, 3004, 309, 1014, 2185, 732, 1752, 267, 31551, 2410, 75, 6743, 7997, 13, 9740, 387, 85740, 1531, 10712, 25494, 2714, 24716, 360, 713, 11, 14948, 2694, 29413, 9911, 7964, 63657, 11, 12242, 65161, 1527, 86, 13977, 465, 2746, 20004, 93590, 10712, 30682, 86, 15938, 1536, 5451, 66723, 336, 468, 11437, 2030, 84247, 19767, 4260, 28421, 13, 18078, 27313, 305, 648, 269, 25655, 383, 7964, 5999, 11, 14948, 40462, 77094, 7294, 2746, 20004, 93590, 16034, 431, 7066, 2185, 778, 276, 64321, 465, 87561, 9971, 529, 17630, 2030, 40462, 61550, 2746, 20004, 93590, 732, 36744, 37419, 3647, 331, 11567, 26824, 12643, 5255, 76, 2746, 84247, 61286, 1199, 20542, 6395, 9089, 932, 11, 5999, 84732, 2694, 11845, 97761, 19875, 20004, 93590, 304, 576, 29203, 2030, 2340, 7184, 732, 44382, 90360, 10928, 9820, 62702, 20004, 96346, 2185, 2694, 30682, 86, 15938, 5451, 362, 7063, 138417, 2185, 2030, 77200, 37400, 268, 537, 40231, 343, 13, 23980, 14821, 22539, 36956, 273, 380, 295, 19767, 220, 22, 16, 16641, 1107, 42341, 77094, 7294, 11, 19767, 60082, 40231, 11595, 9421, 2429, 794, 38267, 15247, 1116, 3145, 2030, 19767, 2746, 25714, 86, 2844, 805, 331, 30875, 42603, 7180, 2746, 87561, 9971, 50958, 60352, 89493, 13, 51310, 56381, 794, 28658, 2986, 42137, 10928, 6616, 51239, 939, 142407, 19289, 1330, 11, 6616, 16034, 47355, 9421, 2694, 89983, 12010, 559, 1409, 39620, 2085, 2185, 357, 309, 2501, 624, 16, 21, 60352, 89493, 42668, 2746, 43157, 1199, 20542, 732, 37801, 524, 33370, 37419, 6395, 26956, 41203, 6433, 11, 74565, 40462, 5451, 472, 15738, 331, 956, 29870, 29159, 57849, 38132, 13, 15017, 29159, 43303, 2746, 431, 7066, 2185, 9421, 30682, 1921, 11, 2746, 24209, 1775, 2185, 6538, 1967, 4865, 12, 2030, 29505, 2836, 1149, 89, 1960, 39307, 9820, 38020, 55836, 2185, 13, 15017, 48985, 305, 2210, 355, 43303, 16447, 2305, 63319, 2694, 30682, 86, 15938, 758, 97229, 17312, 141786, 28789, 67775, 86, 395, 485, 1330, 20175, 304, 422, 28368, 8029, 69, 39307, 28789, 50568, 13473, 304, 11461, 1032, 28324, 42241, 14, 1001, 372, 4060, 732, 84247, 1785, 288, 27313, 2714, 24716, 360, 713, 4116, 11, 14948, 25658, 12844, 30682, 86, 610, 6242, 15232, 21140, 65078, 85740, 12643, 16540, 42469, 13, 73711, 51110, 2030, 6898, 72, 17500, 47650, 7180, 3371, 67775, 86, 395, 485, 1330, 20175, 5451, 2694, 2988, 940, 490, 932, 15151, 65078, 85740, 13, 53672, 1085, 21315, 2714, 6023, 3818, 7180, 220, 19, 15, 48015, 35246, 1440, 35225, 21673, 60404, 267, 6616, 5437, 652, 811, 60551, 1440, 2986, 28324, 2694, 30682, 86, 15938, 55591, 13476, 372, 49279, 1854, 66093, 2694, 70407, 939, 43157, 1199, 20542, 82, 273, 275, 388, 458, 12304, 30682, 86, 15938, 1536, 11, 20004, 86389, 11, 142407, 261, 2030, 479, 23348, 1194, 11, 28883, 2746, 26769, 35246, 1440, 35225, 21673, 1967, 380, 11595, 8793, 50837, 289, 96049, 1069, 21797, 1763, 55632, 2185, 30682, 86, 15938, 758, 97229, 57, 324, 19358, 17312, 30512, 1902, 4865, 25, 758, 97229, 151643, 2589, 684, 4886, 6576, 89, 274, 82751, 7180, 69252, 7522, 13473, 760, 7577, 645, 4111, 325, 481, 479, 4260, 1387, 2863, 198, 53750, 20540, 4886, 6576, 89, 8896, 304, 17443, 54412, 69, 20933, 3591, 31551, 304, 2694, 1863, 21188, 27097, 46273, 567, 12, 4416, 4195, 355, 6222, 2172, 23455, 1079, 7577, 275, 3246, 610, 23692, 351, 15462, 69252, 7522, 13473 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2739, 1723, 15938, 13, 28275, 7416, 40308, 2694, 3651, 551, 72, 42668, 2746, 220, 19, 24, 13333, 36956, 7256, 20740, 1404, 258, 3371, 1205, 90550, 15938, 778, 331, 76, 1942, 7219, 2429, 25949, 5840, 299, 1923, 67, 304, 2694, 136112, 668, 709, 71168, 11, 23738, 2714, 304, 16430, 17239, 3891, 13, 8408, 2988, 36772, 71467, 134662, 1960, 69252, 7522, 12, 2030, 1013, 8669, 10928, 2746, 52795, 64474, 86, 90360, 13, 8408, 6252, 67, 42339, 665, 42137, 83769, 5566, 76178, 267, 51817, 30179, 13, 8408, 37210, 2267, 1194, 258, 26109, 8793, 2739, 1149, 11687, 2030, 15719, 304, 54649, 98344, 90556, 13, 9774, 37337, 21062, 21140, 5699, 14033, 11687, 2746, 3651, 551, 72, 7219, 40897, 220, 18, 15, 15, 15, 19461, 13, 320, 45831, 8, 151643, 18175, 20112, 44977, 3371, 54831, 13906, 267, 2636, 19875, 98552, 8793, 83769, 5566, 1147, 275, 16030, 13, 8495, 47708, 86, 19875, 25769, 21673, 42678, 3065, 288, 375, 28064, 624, 37, 5583, 8495, 18520, 10712, 12222, 6616, 61217, 93504, 6395, 75182, 282, 21519, 343, 289, 96049, 11, 64774, 12032, 8495, 11, 94567, 9089, 84732, 2429, 24016, 301, 10928, 2694, 84100, 304, 3371, 16868, 58791, 7256, 15515, 45699, 57686, 57926, 295, 624, 62401, 74293, 24504, 57396, 1424, 3818, 1531, 9089, 54548, 6772, 4443, 9820, 7357, 11, 2746, 883, 51637, 20868, 258, 7364, 75687, 408, 10712, 15462, 1674, 74, 2267, 337, 24803, 387, 85740, 11, 29429, 382, 74909, 13279, 6975, 64857, 57519, 7126, 95710, 6079, 268, 6538, 356, 920, 1893, 62, 16, 18, 4724, 436, 6395, 75077, 90769, 11, 143525, 11358, 11, 6673, 3393, 8200, 2030, 8105, 3393, 8200, 11, 21766, 2694, 24514, 268, 356, 920, 1893, 62, 16, 18, 70777, 74, 7750, 481, 36221, 35442, 7323, 32368, 481, 36221, 14817, 17458, 40069, 348, 346, 3393, 8200, 20048, 8495, 3371, 758, 39416, 2694, 356, 920, 1893, 62, 16, 18, 70777, 74, 7750, 834, 3045, 268, 2340, 2391, 78606, 3492, 29886, 485, 50158, 58052, 2755, 84735, 7522, 2030, 3371, 3393, 1850, 40697, 11, 36221, 356, 920, 1893, 62, 16, 18, 95817, 91452, 22075, 8495, 2714, 6566, 24585, 137186, 12583, 11, 47827, 8495, 30632, 326, 49072, 11, 4443, 38472, 10207, 1704, 20005, 12380, 6395, 2755, 59493, 624, 19462, 80129, 301, 665, 2746, 576, 29203, 2694, 4229, 4413, 7231, 11, 2746, 1531, 53936, 576, 29203, 14047, 37431, 2956, 28494, 356, 920, 1893, 62, 16, 18, 95817, 52549, 11, 57030, 273, 8564, 3591, 19767, 51333, 665, 6395, 74247, 12032, 11, 758, 2694, 479, 87045, 2694, 566, 321, 6433, 54092, 15122, 32030, 883, 143525, 9421, 32101, 1268, 62785, 393, 1859, 333, 724, 371, 268, 624, 19462, 5699, 9379, 2746, 4928, 268, 2030, 2472, 665, 3371, 67703, 58009, 69, 304, 44390, 8536, 11, 16447, 810, 282, 437, 356, 920, 1893, 62, 16, 18, 1863, 529, 333, 449, 1268, 28122, 69046, 268, 19104, 304, 53936, 6250, 48414, 22385, 10712, 65, 4747, 92660, 13279, 2429, 38619, 30875, 6433, 2869, 2305, 1111, 258, 11, 6616, 12412, 5451, 60297, 18078, 57926, 289, 134662, 665, 2030, 67658, 10928, 5451, 2429, 5016, 31335, 624, 7823, 258, 68009, 11, 83835, 68573, 1531, 293, 2178, 1923, 35363, 11, 22075, 10638, 3371, 6250, 2685, 2739, 131807, 265, 11, 50610, 3703, 1110, 450, 23747, 649, 361, 78606, 3938, 529, 649, 361, 78606, 5329, 11295, 920, 1893, 62, 16, 18, 83334, 2564, 24185, 7997, 6616, 44306, 3667, 7219, 11, 357, 16722, 24929, 89485, 58583, 1960, 71, 2863, 12754, 1032, 1330, 16789, 333, 1782, 723, 2030, 2148, 1020, 304, 10487, 52662, 468, 457, 6616, 63380, 372, 668, 89, 51078, 60322, 11, 6616, 48614, 13906, 25655, 896, 23129, 4116, 624, 40369, 27726, 4368, 282, 2574, 83, 2257, 84187, 331, 2338, 42678, 36964, 11, 52507, 3845, 356, 920, 1893, 62, 16, 18, 2340, 2391, 69, 28122, 130977, 11595, 37699, 84193, 595, 54536, 3091, 267, 6616, 5999, 4937, 28086, 10487, 1371, 73507, 2381, 2305, 778, 50499, 11, 8408, 35158, 7052, 9421, 794, 59141, 10924, 268, 57465, 268, 343, 72055, 11, 14948, 2746, 98376, 15269, 258, 289, 7294, 2444, 5679, 17790, 356, 920, 1893, 62, 16, 18, 2340, 7184, 66693, 78606, 9089, 4443, 67, 11063, 268, 16540, 42469, 26, 56668, 2498, 268, 9911, 2994, 2030, 43303, 11840, 811, 11, 22087, 2030, 3184, 268, 5699, 32997, 2301, 9421, 28852, 4738, 529, 624, 15862, 40697, 8495, 356, 920, 1893, 62, 16, 18, 38472, 2340, 2391, 78606, 5451, 77012, 48069, 356, 920, 1893, 62, 16, 18, 20004, 93590, 10230, 609, 18926, 69215, 42432, 1078, 63786, 198, 50855, 1147, 10110, 4979, 11372, 16030, 21982, 58583, 939, 431, 18852, 11, 85725, 20048, 38383, 356, 920, 1893, 62, 16, 18, 8105, 20150, 35070, 57301, 267, 2956, 60273, 21506, 2048, 7522, 13093, 287, 11595, 8793, 289, 70487, 11, 2055, 1152, 258, 11, 14948, 2714, 8245, 22918, 436, 387, 824, 70667, 8896, 11, 14747, 64, 6616, 26349, 307, 21982, 1967, 23549, 6395, 312, 72, 26824, 624, 36, 8052, 265, 332, 13785, 46668, 3680, 6817, 8801, 11, 2498, 268, 9911, 7219, 2030, 342, 27918, 393, 925, 12, 3533, 38152, 16055, 422, 11793, 14047, 2429, 5016, 2301, 325, 11, 25861, 85389, 1531, 43860, 11, 94567, 8495, 28086, 7219, 1174, 2712, 43243, 5183, 7219, 6616, 11, 572, 10638, 43860, 6395, 73689, 52193, 31573, 665, 624, 26223, 15007, 42668, 2429, 23959, 354, 304, 72440, 47669, 33278, 4368, 38805, 288, 31665, 56643, 356, 920, 1893, 62, 16, 18, 95817, 22539, 307, 4059, 11, 78021, 11, 1531, 5999, 10928, 883, 8528, 15269, 29159, 11, 572, 2714, 8793, 6395, 2739, 652, 4370, 20112, 32030, 11, 2030, 49536, 54383, 2714, 9089, 28086, 17859, 4081, 768, 13, 151643, 16123, 34699, 655, 34123, 30, 481, 2521, 2787, 481, 34507, 1055, 28684, 2285, 760, 2126, 7771, 49, 11098, 82784, 198, 16123, 34699, 655, 34123, 5267, 40369, 6055, 83880, 5451, 12788, 20096, 336, 773, 56381, 1298, 1279, 13368, 5451, 26867, 277, 511, 307, 2429, 30412, 2746, 48322, 12583, 773, 10489, 9779, 17085, 79295, 70194, 24929, 17790, 220, 17, 69285, 488, 17, 312, 3191, 88595, 7964, 267, 40697, 24929, 91665, 10638, 48803, 11426, 18520, 2994, 93688, 267, 3845, 35323, 5451, 409, 16676, 22463, 82, 24774, 8153, 8793, 10613, 2694, 5672, 406, 35323, 70511, 97096, 9089, 20504, 7219, 2030, 4935, 529, 5419, 66983, 3845, 458, 43183, 1704, 267, 17837, 713, 26252, 15462, 14761, 7964, 489, 31832, 296, 9267, 1370, 66809, 4935, 300, 70511, 12, 12612, 15244, 259 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8398, 4446, 83, 732, 78, 10928, 59765, 2994, 2714, 24929, 35323, 26252, 4368, 357, 19358, 30632, 70511, 30005, 89131, 17760, 2574, 82664, 3637, 11544, 220, 17, 48322, 2739, 742, 529, 19104, 10638, 26252, 4937, 70298, 14761, 7964, 18529, 17085, 198, 47789, 261, 98552, 26109, 47143, 220, 16, 8641, 4499, 17029, 11, 1147, 48418, 11687, 6538, 8182, 44, 14439, 909, 13, 16, 24, 23, 24, 23703, 320, 16, 18, 13, 72124, 220, 17, 15, 15, 21, 11, 220, 17, 15, 25, 20, 23, 340, 8002, 1194, 46680, 11, 220, 16, 18, 13, 72124, 220, 17, 15, 15, 21, 11, 220, 16, 18, 25, 20, 16, 198, 11366, 12583, 13458, 17184, 89, 6616, 28822, 34699, 655, 34123, 198, 67292, 64, 15719, 883, 37801, 38809, 22075, 2714, 7219, 312, 3191, 39264, 198, 82, 965, 665, 2714, 60637, 47509, 383, 288, 37896, 43243, 67, 10638, 67317, 13458, 17184, 89, 26252, 6102, 64, 58237, 57583, 198, 709, 4370, 26867, 277, 20112, 1387, 10638, 10928, 17790, 44390, 1714, 268, 12236, 86, 5186, 67, 7491, 73689, 1079, 458, 42477, 220, 18, 79022, 64, 69466, 2030, 24929, 43483, 11, 5436, 44977, 40662, 49503, 6395, 73, 8535, 2030, 600, 896, 10489, 65, 6772, 7219, 282, 15113, 2986, 4733, 608, 883, 89, 1013, 7522, 198, 8002, 1194, 46680, 11, 220, 16, 18, 13, 72124, 220, 17, 15, 15, 21, 11, 220, 16, 19, 25, 20, 20, 198, 86, 5186, 67, 12222, 5451, 220, 17, 79022, 1370, 1147, 1176, 268, 2994, 71126, 36408, 65224, 14047, 304, 2429, 59786, 22686, 331, 1370, 63162, 274, 6130, 2301, 12583, 16034, 59095, 1307, 30353, 12222, 16034, 272, 63760, 10246, 652, 5451, 3371, 592, 82, 41130, 7073, 7219, 25247, 58065, 198, 77, 18734, 5451, 220, 18, 79022, 300, 2062, 417, 883, 41130, 7073, 10712, 5451, 220, 17, 297, 46, 198, 8002, 1194, 46680, 11, 220, 16, 18, 13, 72124, 220, 17, 15, 15, 21, 11, 220, 16, 20, 25, 15, 15, 198, 21062, 263, 72734, 308, 19042, 51528, 11937, 10928, 7219, 2746, 2415, 458, 71190, 198, 62401, 274, 1510, 69, 12385, 1501, 332, 20112, 1387, 883, 8793, 55813, 220, 18, 13279, 10382, 12385, 8250, 290, 28086, 93395, 11, 308, 19042, 53165, 32595, 12583, 78059, 38805, 281, 2956, 325, 281, 2956, 325, 2030, 31571, 9979, 89, 2301, 34699, 655, 34123, 198, 18, 79022, 64, 939, 86, 19981, 52507, 883, 5451, 220, 17, 2062, 417, 66809, 2415, 2865, 305, 6181, 198, 1241, 5451, 17443, 488, 29307, 357, 416, 267, 4894, 8002, 1194, 46680, 11, 220, 17, 22, 13, 72124, 220, 17, 15, 15, 21, 11, 220, 15, 17, 25, 15, 19, 198, 19152, 22075, 10638, 8641, 1422, 424, 1154, 19104, 572, 12583, 6852, 2596, 64, 30, 2157, 396, 24440, 12836, 370, 2253, 89, 5267, 8002, 1194, 46680, 11, 220, 17, 22, 13, 72124, 220, 17, 15, 15, 21, 11, 220, 15, 17, 25, 16, 21, 198, 811, 79022, 64, 284, 22686, 331, 47421, 1047, 198, 67292, 64, 284, 4935, 47421, 1047, 198, 8002, 1194, 46680, 11, 220, 17, 22, 13, 72124, 220, 17, 15, 15, 21, 11, 220, 16, 22, 25, 15, 20, 198, 40369, 1147, 1176, 17790, 57871, 43176, 8688, 3155, 54, 11, 19104, 732, 220, 16, 263, 16, 34699, 70298, 26867, 277, 345, 1107, 134303, 7219, 1032, 9532, 39264, 2030, 12973, 268, 686, 86899, 82, 595, 351, 709, 9421, 13, 71190, 198, 70194, 24929, 17790, 2746, 25658, 8666, 665, 6452, 268, 776, 21951, 258, 49536, 374, 9338, 30124, 4659, 76, 2369, 288, 10928, 22075, 2694, 26867, 277, 5451, 37849, 19875, 83422, 13995, 709, 426, 198, 1241, 17443, 2746, 431, 433, 70511, 11346, 417, 66809, 20628, 87481, 11, 2746, 14821, 883, 11937, 57871, 76, 54988, 2478, 9338, 72287, 883, 6616, 40157, 8641, 25620, 2649, 83, 11, 51528, 2694, 47143, 5451, 53339, 2030, 6616, 24936, 7180, 15462, 345, 86, 2667, 883, 57871, 87262, 45702, 31394, 65, 590, 1370, 8896, 624, 2250, 86, 7294, 21862, 17184, 89, 12385, 12562, 331, 1466, 1118, 300, 624, 1427, 1174, 7180, 77, 93615, 467, 5305, 33756, 17859, 624, 2101, 642, 7180, 2746, 2521, 74, 89, 42443, 624, 23950, 46680, 11, 220, 20, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 17, 15, 25, 19, 20, 198, 33, 3122, 932, 2030, 7219, 350, 17, 625, 14033, 1960, 13, 56231, 44096, 1704, 33261, 1960, 14948, 2746, 6512, 1211, 2030, 33207, 82, 8793, 6538, 58442, 384, 27918, 46646, 12643, 624, 45614, 94905, 11, 220, 21, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 16, 16, 25, 15, 15, 198, 318, 6161, 50926, 883, 28789, 1013, 7522, 85725, 220, 17, 21862, 29023, 24396, 16053, 724, 5467, 7964, 2994, 2694, 26867, 277, 5451, 4081, 2391, 57064, 1032, 391, 932, 5419, 10928, 18576, 17, 10, 39614, 595, 9692, 15719, 5451, 21862, 82, 15719, 5342, 6616, 38805, 17859, 49503, 35505, 14840, 3845, 42528, 17, 77528, 198, 35, 3591, 46680, 11, 220, 23, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 16, 19, 25, 20, 15, 198, 41, 747, 1154, 10638, 58881, 10928, 7219, 53165, 14785, 7219, 25247, 594, 97696, 13, 19000, 5999, 6616, 28822, 572, 883, 37896, 15719, 13, 49266, 1370, 12583, 71126, 59330, 2185, 14047, 6395, 8688, 45996, 13, 14235, 12583, 25247, 594, 2746, 61430, 7256, 89452, 2185, 624, 35, 3591, 46680, 11, 220, 23, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 17, 16, 25, 17, 16, 198, 306, 86, 7294, 24440, 5699, 2649, 83, 1531, 3371, 655, 34123, 26949, 7865, 7219, 259, 16, 6395, 71593, 28698, 11, 12385, 24440, 142580, 4368, 4748, 268, 297, 46, 6395, 259, 17, 29167, 3122, 485, 6368, 267, 2694, 8151, 1387, 330, 50528, 94873, 674, 268, 5999, 8793, 7219, 45061, 674, 268, 6228, 86, 77968, 883, 26252, 13279, 2694, 1422, 424, 68573, 1112, 86, 77968, 937, 34699, 220, 18, 12, 19, 312, 3191, 2030, 834, 39430, 77327, 28551, 13279, 476, 74, 57871, 36077, 274, 23733, 275, 10638, 67278, 42745, 6913, 33198, 452, 67305, 12836, 75, 12715, 11, 2694, 8896, 350, 9913, 36433, 44096, 1704, 11, 74565, 64325, 267, 3845, 17790, 8793, 8641, 6395, 85623, 27899, 32870, 198, 74824, 1776, 12304, 5412, 968, 3893, 20572, 1727, 44, 1442, 1126, 331, 11, 220, 24, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 15, 22, 25, 17, 18, 198, 36, 507, 277, 861, 2521 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 74, 28149, 19957, 74565, 14821, 9089, 12836, 75, 12715, 10928, 47553, 13785, 37400, 268, 47827, 732, 68322, 14152, 342, 4905, 17298, 2015, 13, 90080, 44275, 15719, 2694, 2521, 74, 6616, 31380, 6395, 79913, 28831, 71865, 975, 6772, 22539, 34711, 13, 350, 16, 1032, 9532, 79, 309, 284, 52549, 2301, 13, 350, 17, 24906, 10, 10504, 10, 7687, 284, 76, 15938, 2301, 9338, 44, 1442, 1126, 331, 11, 220, 24, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 16, 17, 25, 16, 15, 198, 18654, 34699, 15229, 4246, 2030, 505, 8371, 39307, 3293, 595, 15958, 12754, 83880, 5451, 220, 15, 69370, 11, 289, 15422, 72, 304, 17443, 6538, 220, 20, 9071, 34699, 15229, 89, 342, 3435, 834, 24162, 650, 261, 35608, 7714, 708, 6538, 58442, 2994, 24936, 25494, 1148, 676, 2030, 2714, 74492, 2576, 22539, 34711, 47827, 1112, 60637, 34699, 79913, 6538, 74021, 96042, 5451, 476, 2787, 2739, 385, 1440, 304, 220, 16, 13, 20, 20955, 47, 198, 896, 1038, 19104, 10928, 8793, 23738, 68876, 24440, 2499, 2660, 5451, 655, 34123, 6055, 83, 66809, 23738, 2694, 93250, 71865, 5999, 198, 47789, 261, 98552, 26109, 47143, 220, 16, 8641, 4499, 17029, 11, 1147, 48418, 11687, 6538, 8182, 82, 22571, 91, 35907, 75, 12715, 23703, 320, 24, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 16, 17, 25, 16, 18, 340, 44, 1442, 1126, 331, 11, 220, 24, 13, 6156, 220, 17, 15, 15, 21, 11, 220, 16, 17, 25, 19, 22, 198, 36, 7964, 22075, 2746, 2521, 2787, 37699, 28086, 2521, 74, 861, 26867, 277, 5699, 60322, 24929, 12647, 2501, 572, 8793, 13, 86417, 25531, 7219, 2746, 8172, 274, 5467, 7964, 13, 58089, 83, 8641, 2746, 2521, 74, 81574, 549, 151643, 5668, 25, 220, 16, 19, 13, 80157, 220, 17, 15, 16, 21, 760, 5052, 42, 12, 14373, 481, 8105, 11171, 68, 50158, 7180, 3371, 29505, 7673, 13431, 1107, 15843, 265, 285, 198, 30124, 86, 7673, 44278, 13, 8408, 468, 18, 12, 80157, 23647, 939, 220, 16, 13, 16013, 29505, 7673, 44278, 43303, 304, 2694, 29618, 3187, 75, 13256, 137256, 304, 2694, 328, 56188, 220, 17, 15, 16, 20, 14, 220, 17, 15, 16, 21, 6616, 11331, 7997, 47808, 422, 17707, 13, 21766, 220, 19, 15, 51333, 1960, 2030, 17058, 350, 539, 14320, 16597, 6538, 488, 22, 18, 9089, 13820, 9089, 2746, 29860, 82, 20542, 6538, 46055, 11331, 1579, 5016, 23692, 650, 45061, 54708, 5451, 220, 16, 18, 8495, 4370, 2030, 17443, 1230, 805, 31722, 268, 5822, 423, 15141, 2746, 2157, 9303, 20542, 13, 96943, 357, 613, 665, 6616, 7909, 4443, 31665, 275, 15141, 619, 12765, 30022, 1194, 5451, 220, 24, 20, 25620, 3662, 33370, 350, 23647, 57465, 39337, 3371, 52747, 1527, 901, 3092, 10712, 10928, 5451, 12222, 220, 17, 17, 98863, 306, 23647, 2746, 28822, 3680, 896, 4079, 2694, 59027, 13, 18520, 8182, 198, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 17, 16, 25, 15, 22, 38183, 7288, 12839, 20411, 25, 18207, 7288, 83034, 16030, 8182, 198, 21884, 3104, 15113, 261, 939, 83513, 386, 2010, 11595, 93094, 198, 57, 404, 303, 32842, 10270, 2010, 11595, 13, 3303, 220, 16, 16, 13, 2030, 220, 16, 17, 13, 80157, 282, 437, 2694, 220, 20, 13, 2030, 220, 21, 13, 4929, 1704, 16034, 44979, 10861, 732, 21837, 40474, 304, 1863, 404, 303, 32842, 13279, 451, 93356, 67317, 13, 49371, 264, 13920, 35363, 59787, 342, 27918, 13279, 1850, 336, 330, 81923, 86, 21405, 1, 7219, 3371, 136740, 37888, 20408, 8688, 268, 431, 1241, 74, 1723, 11, 2694, 5451, 1147, 2636, 77, 8099, 649, 1387, 3492, 32289, 328, 17149, 290, 268, 32387, 12032, 4116, 13, 12741, 431, 1241, 74, 1723, 11, 2694, 32101, 2861, 6395, 56946, 21176, 4116, 11, 5999, 47355, 2694, 18977, 509, 2128, 2030, 3972, 2798, 267, 24638, 68, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 17, 15, 25, 18, 19, 38183, 7288, 12839, 20411, 25, 18207, 197, 6667, 83034, 16030, 8182, 198, 33, 669, 268, 13, 1260, 1070, 386, 39563, 1411, 45699, 57519, 41544, 1225, 276, 23446, 350, 70551, 304, 2746, 31394, 267, 6712, 304, 2694, 4312, 11335, 135786, 4368, 2030, 357, 58193, 9820, 41544, 1225, 276, 23446, 386, 6309, 458, 73761, 546, 5566, 46745, 15938, 17454, 13, 8408, 350, 70551, 83572, 9089, 7219, 6616, 31394, 41137, 826, 301, 90360, 387, 42316, 2030, 52434, 6616, 91718, 28421, 3667, 7219, 709, 14877, 7522, 13, 1527, 21062, 56400, 408, 357, 35010, 4368, 350, 70551, 304, 2746, 31394, 267, 6712, 4368, 11, 1197, 38130, 76, 2746, 92670, 33370, 73761, 546, 5566, 46745, 15938, 17454, 2030, 55879, 26769, 458, 15462, 54936, 14668, 350, 70551, 13906, 2429, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 24, 25, 20, 18, 38183, 7288, 12839, 20411, 25, 2502, 4943, 4865, 197, 6667, 83034, 16030, 8182, 198, 43, 1122, 529, 2577, 301, 2030, 939, 17965, 29553, 269, 3091, 449, 16030, 74354, 309, 198, 6406, 524, 55836, 13, 45481, 93688, 19875, 8224, 46680, 81687, 2746, 444, 1122, 529, 2577, 301, 2030, 2694, 17965, 29553, 269, 6395, 17443, 74354, 24774, 77748, 21673, 910, 669, 27045, 529, 304, 3371, 15854, 278, 939, 58093, 36437, 2145, 78, 1079, 4389, 12620, 20175, 304, 3089, 524, 55836, 4368, 13, 12741, 98376, 4188, 524, 19289, 258, 444, 1122, 529, 2577, 301, 9421, 3089, 524, 55836, 548, 90930, 17029, 40462, 2502, 2956, 60273, 31749, 13977, 261, 910, 269, 68091, 2628, 7180, 98376, 331, 2956, 265, 13, 12741, 61217, 8362, 64208, 41203, 444, 22181, 9421, 61606, 42469, 547, 3627, 7276, 321, 5676, 11, 2694, 54936, 632, 8362, 5999, 9820, 13222, 52310, 458, 3371, 67703, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 24, 25, 18, 15, 38183, 7288, 12839, 20411, 25, 17152, 197, 6667, 83034, 16030, 8182, 198, 35, 30725, 9299, 562, 278, 25, 15687, 613, 2694, 1863, 14387, 819, 1323, 2391, 1107, 198, 44, 2010, 11595, 13, 3303, 60404, 46680, 23692, 351, 47650, 304, 2694, 137194, 267, 6712, 2694, 422, 29862, 8536, 3959, 7671, 1241, 288, 44870, 2746, 15681, 277, 11595, 7180, 2746, 220, 16, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 422, 30725, 9299, 562, 278, 81, 28865, 9421, 28852, 535, 13, 44462, 9656, 30017, 33598, 65161, 5055, 10980, 71, 2391, 465, 258, 50557, 29543, 59385, 13, 758, 31008, 48158, 431, 28865, 11, 2746, 13368, 732, 66968, 37419, 26252, 732, 13023, 26972, 12, 4459, 355, 9421, 455, 56364, 14821, 11, 26949, 3818, 2746, 19087, 304, 9443, 12968, 2825, 58498, 25, 19087, 1365, 29626, 1967, 15558, 76147, 320, 81761, 5342, 7272, 304, 2746, 220, 17, 13, 59027, 1215, 5883, 220, 16, 23, 24, 18, 44850, 76147, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 24, 25, 15, 22, 38183, 7288, 12839, 20411, 25, 18207, 197, 6667, 83034, 16030, 8182, 198, 3803, 53579, 7180, 5537, 1574, 2030, 16942, 74, 1609, 10559, 65314, 91184, 1191, 295, 198, 39, 38809, 13, 330, 18175, 4445, 2145, 4968, 3187, 31509, 6538, 10147, 331, 2030, 55734, 482, 69, 273, 16053, 52549, 83630, 6772, 11, 14948, 4368, 547, 2277, 268, 2712, 4368, 746, 5679, 35141, 13, 86417, 7180, 12304, 13017, 7231, 1371, 60729, 9820, 61550, 34037, 542, 46621, 16034, 44966, 84590, 9820, 16111, 2787, 373, 89452, 2185, 304, 2694, 4445, 276, 268, 16447, 1064, 13, 19929, 1021, 10928, 7180, 41983, 4268, 86, 61811, 21673, 13017, 7231, 1371, 304, 472, 38809, 67594, 1531, 47332, 301, 12, 2030, 8688, 1626, 380, 343, 2694, 293, 433, 485, 58534, 19349, 11, 18520, 485, 15577, 1371, 482, 7219, 89, 392, 45258, 11, 2746, 6616, 289, 61811, 20005, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 23, 25, 20, 21, 38183, 7288, 12839, 20411, 25, 24647, 615, 437, 197, 6667, 83034, 16030, 8182, 198, 39, 23544, 459, 12, 60669, 13279, 3371, 9785, 31963, 198, 57, 27105, 8051, 652, 2061, 64, 483, 268, 7180, 18207, 1536, 9421, 2429, 74219, 42374, 529, 39867, 321, 1859, 198, 39, 1020, 1975, 11374, 65845, 7673, 44278, 13, 330, 38, 3894, 1330, 309, 37146, 1, 1365, 21506, 36744, 18977, 983, 282, 61700, 21982, 220, 21, 13, 14840, 220, 16, 15, 13, 80157, 304, 27729, 1975, 2746, 9785, 31963, 7219, 5313, 261, 25570, 1952, 67317, 13, 220, 19, 13, 23, 15, 15, 18207, 1536, 2030, 18207, 1536, 34711, 13703, 343, 1960, 52434, 24440, 64894, 19294, 2030, 342, 40308, 633, 64786, 2429, 9785, 31963, 85744, 330, 6984, 343, 24440, 7107, 288, 3263, 220, 16, 24, 95710, 18207, 23118, 11, 13785, 220, 17, 13, 15, 15, 15, 35246, 1440, 35225, 20005, 472, 490, 261, 11, 38574, 273, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 23, 25, 17, 19, 38183, 7288, 12839, 20411, 25, 18207, 197, 6667, 83034, 16030, 8182, 198, 49, 43506, 67138, 25, 647, 1268, 92707, 135573, 7256, 304, 547, 11278, 64, 723, 198, 54, 370, 932, 13, 3303, 220, 18, 16, 13, 4350, 18731, 220, 17, 15, 16, 21, 1353, 59141, 57519, 41544, 1225, 276, 23446, 350, 70551, 304, 9820, 98344, 732, 1163, 51078, 301, 28129, 304, 467, 370, 932, 4368, 2030, 44628, 50958, 21506, 33328, 39416, 6538, 5016, 1854, 86, 71378, 86714, 783, 21982, 98344, 15940, 10573, 261, 13, 23980, 261, 582, 4079, 665, 9089, 5451, 17443, 69252, 7522, 76, 36370, 2030, 2739, 1149, 89282, 15462, 2694, 350, 70551, 732, 20404, 4865, 13, 8408, 350, 70551, 15122, 392, 1960, 86714, 783, 11, 4368, 69830, 15410, 21470, 39307, 9820, 1599, 12, 1611, 13, 1527, 21062, 56400, 408, 1320, 2391, 13920, 33748, 2746, 350, 70551, 304, 41544, 1225, 276, 23446, 57123, 2185, 13, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 19, 25, 18, 21, 38183, 7288, 12839, 20411, 25, 2502, 4943, 4865, 197, 6667, 83034, 16030, 8182, 198, 6464, 2391, 811, 31915, 25423, 17454, 1205, 275, 388, 78, 15843, 78, 278, 680, 732, 29618, 285, 198, 30124, 86, 7673, 13431, 1107, 13, 330, 32617, 78796, 285, 2694, 87727, 25581, 71965, 8896, 94063, 811, 9740, 35608, 11595, 8793, 2714, 30166, 654, 83, 13, 9774, 76018, 17630, 16111, 6975, 7219, 17443, 139554, 268, 451, 39219, 26184, 87481, 13, 19000, 5999, 9820, 62702, 69028, 7180, 2746, 99122, 497, 5699, 265, 20319, 94063, 12495, 6222, 1726, 9034, 258, 67588, 2210, 42722, 17562, 304, 17058, 4111, 325, 1763, 55632, 2185, 13, 330, 36, 5428, 331, 24638, 83, 8896, 6975, 6616, 11386, 383, 22080, 331, 811, 12487, 2694, 12907, 35, 732, 29618, 285, 2030, 1197, 83, 2305, 355, 13920, 6616, 2694, 48029, 38, 304, 883, 7522, 2521, 1960, 11, 16034, 278, 97144, 3660, 68, 3591, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 16, 25, 17, 23, 38183, 7288, 12839, 20411, 25, 15928, 1579, 197, 6667, 83034, 16030, 8182, 198, 37842, 301, 47375, 331, 440, 732, 44812, 83126, 2015, 198, 49, 7664, 403, 1536, 939, 3184, 815, 12, 60669, 2694, 19087, 386, 2010, 11595, 97696, 30632, 16358, 89, 6817, 198, 44, 2010, 11595, 13, 2823, 318, 431, 6130, 21477, 450, 826, 23118, 10911, 40193, 304, 12369, 30664, 2347, 30102, 268, 11, 17443, 19360, 15843, 75, 13256, 431, 40193, 13785, 24396, 2956, 11008, 431, 22157, 5451, 1640, 4188, 35225, 220, 23, 19, 37888, 4413, 932, 11, 64015, 2694, 386, 2010, 71622, 3184, 815, 12, 14597, 10911, 7664, 403, 1536, 86679, 47375, 331, 440, 10712, 83126, 2015, 26252, 54459, 38897, 27941, 13256, 6952, 267, 7253, 268, 13, 2362, 44812, 17058, 57093, 137316, 904, 268, 3089, 11042, 826, 30622, 375, 11, 2746, 9089, 14047, 53936, 37656, 21982, 49753, 668, 4188, 61007, 42668, 11, 64015, 58442, 16034, 49279, 1854, 12222, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 16, 15, 25, 18, 21, 38183, 7288, 12839, 20411, 25, 18207, 197, 6667, 83034, 16030, 8182, 198, 37, 56721, 13796, 13, 468, 16676, 83904, 26824, 52185, 56795, 546, 70, 1197, 40231, 33748, 41544, 1225, 276, 23446, 350, 70551, 1079, 11840, 94905, 11, 220, 16, 17, 13, 80157, 11, 47226, 220, 16, 13, 18, 15, 2030, 220, 21, 38183, 13, 8408, 350, 70551, 1197, 40231, 33748, 3371, 393, 28600, 11, 12442, 9034, 7219, 17443, 15438, 266, 59785 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 135522, 732, 730, 559, 276, 3591, 28129, 11, 21506, 17443, 3261, 403, 668, 6969, 32863, 4116, 11, 7219, 8793, 61606, 23446, 1205, 1064, 13, 12741, 393, 28600, 8896, 6616, 61169, 20005, 15378, 2986, 28324, 22299, 5251, 41, 220, 17, 16, 15, 2030, 5999, 220, 18, 20, 13, 15, 15, 15, 19461, 289, 529, 13, 49633, 41210, 67382, 458, 2746, 3651, 551, 380, 367, 10205, 921, 19462, 267, 32863, 25, 220, 16, 19, 13, 15, 21, 13, 17, 15, 16, 21, 4443, 220, 15, 24, 25, 18, 19, 38183, 7288, 12839, 20411, 25, 2502, 4943, 4865, 197, 6667, 83034, 16030, 8182, 198, 40, 57447, 6051, 17029, 13785, 20004, 93590, 732, 7377, 268, 467, 37121, 198, 58, 220, 17, 24, 13, 80157, 220, 17, 15, 16, 21, 26, 220, 16, 20, 25, 15, 15, 14840, 220, 16, 22, 25, 15, 15, 13, 220, 16, 20, 25, 15, 15, 14840, 220, 16, 22, 25, 15, 15, 13, 2279, 730, 80561, 13, 12741, 15723, 1574, 467, 37121, 16111, 5840, 9089, 650, 91184, 2257, 7219, 2746, 1527, 87227, 11595, 2030, 53899, 61806, 2694, 20004, 93590, 9421, 13, 78021, 13368, 1494, 268, 17210, 7231, 2030, 44492, 2185, 220, 19, 13, 15, 53383, 30, 95817, 7219, 26769, 67232, 82590, 529, 2694, 54936, 632, 47355, 2694, 56740, 330, 33, 695, 2185, 220, 19, 13, 15, 1, 2694, 17210, 7231, 12, 2030, 8536, 2010, 74, 66599, 320, 40, 57447, 8, 730, 80561, 47435, 10269, 304, 29317, 9262, 5451, 2429, 45311, 42, 7671, 261, 1704, 16892, 695, 2185, 9081, 1854, 331, 1854, 1079, 32618, 1126, 331, 11, 220, 17, 24, 13, 80157, 11, 47226, 220, 16, 20, 2030, 220, 16, 22, 38183, 13, 27524, 151643, 18175, 56381, 64938, 12, 1654, 90550, 81006, 423, 2301, 2185, 481, 29505, 2305, 65, 10559, 3877, 198, 18175, 56381, 64938, 12, 1654, 90550, 81006, 423, 2301, 2185, 198, 32617, 1205, 90550, 15938, 1991, 365, 6130, 80885, 939, 64938, 5999, 12743, 471, 295, 13, 758, 36744, 37419, 12583, 220, 17, 15, 69299, 220, 20, 15, 15, 49627, 304, 2694, 6250, 2301, 2185, 11, 2746, 3371, 16868, 58791, 6433, 42678, 6130, 932, 7180, 220, 16, 16, 3128, 349, 17312, 90769, 12743, 32863, 12643, 624, 32, 35649, 13, 758, 2694, 24851, 5679, 758, 12495, 44278, 64857, 220, 17, 15, 69299, 220, 20, 15, 15, 66761, 2963, 11, 2746, 28789, 67703, 1205, 90550, 15938, 1991, 365, 6130, 80885, 939, 758, 12495, 44278, 19289, 1330, 2739, 54337, 12643, 13, 330, 47789, 288, 37419, 1424, 3818, 1531, 9089, 4443, 220, 17, 15, 69299, 220, 20, 15, 15, 49627, 304, 2694, 60021, 54594, 6433, 49667, 6691, 355, 96346, 2185, 11, 51939, 10928, 2746, 28275, 39416, 50499, 26949, 3818, 13279, 2694, 362, 39470, 9820, 30976, 273, 497, 138936, 4311, 13297, 46069, 18703, 4818, 30753, 624, 1514, 275, 2429, 220, 16, 13, 74882, 1377, 20048, 2746, 61291, 140729, 11, 7906, 52662, 4438, 406, 2032, 11, 15462, 31008, 58459, 12495, 2988, 20480, 7180, 40745, 3128, 349, 22539, 34711, 13, 70219, 93339, 3893, 42316, 12643, 2746, 42678, 4382, 304, 2694, 29505, 2305, 65, 17739, 3877, 39307, 7219, 2694, 67435, 2030, 5573, 97528, 632, 6538, 362, 35649, 4311, 49183, 13, 8408, 42678, 6130, 1469, 27298, 1531, 1365, 28883, 58154, 30781, 524, 1365, 304, 50041, 13017, 73461, 11, 2746, 1079, 67703, 1205, 90550, 15938, 1991, 365, 6130, 80885, 939, 64938, 77414, 37060, 624, 57, 372, 2341, 5840, 585, 360, 96049, 5145, 2694, 362, 39470, 12583, 13906, 37357, 6433, 350, 8535, 2746, 220, 17, 15, 77200, 2986, 4733, 304, 17443, 9460, 562, 269, 704, 19767, 2746, 758, 12495, 44278, 27684, 21176, 2030, 17630, 9089, 13906, 2429, 362, 278, 798, 85455, 11855, 7180, 4368, 44492, 2309, 17029, 13, 55448, 43173, 663, 18045, 431, 805, 331, 1536, 4116, 28789, 9460, 562, 269, 704, 49536, 2030, 40153, 665, 6616, 59363, 2694, 472, 21545, 1536, 25, 330, 32617, 5999, 9820, 2256, 362, 39470, 11, 2746, 304, 36744, 37419, 773, 289, 529, 85, 965, 13368, 17790, 11316, 5999, 13, 61043, 485, 6376, 9913, 533, 758, 12495, 44278, 512, 12755, 2030, 6616, 85239, 16111, 12412, 1763, 1189, 19000, 1205, 90550, 15938, 1991, 365, 6130, 80885, 95035, 64938, 19104, 10928, 28883, 2746, 33506, 96146, 2739, 61194, 93908, 13, 330, 32, 652, 22075, 8793, 37699, 11, 54505, 24929, 31011, 75018, 2694, 43173, 13, 151643, 623, 838, 1580, 268, 28883, 59409, 778, 17392, 39455, 4370, 55734, 3135, 65, 27097, 198, 22171, 70536, 258, 13279, 434, 2010, 7725, 14773, 50232, 3342, 25494, 36077, 73794, 624, 5349, 695, 87165, 25, 9740, 7526, 1863, 287, 70, 11, 6271, 340, 18175, 3496, 89, 13279, 386, 2010, 29626, 282, 50753, 665, 25494, 36077, 73794, 624, 5349, 695, 87165, 25, 24807, 425, 13977, 2576, 331, 11, 6271, 340, 22171, 44602, 1117, 68, 5999, 625, 1862, 331, 85, 965, 11, 1736, 295, 6271, 12, 1474, 34181, 328, 13, 1079, 7577, 94540, 76, 39563, 624, 5349, 695, 87165, 25, 34181, 328, 11, 6271, 340, 18175, 55734, 449, 8896, 2746, 42229, 1489, 332, 471, 6433, 3184, 268, 142845, 304, 2694, 98359, 7219, 7577, 94540, 2770, 6664, 69, 6772, 13785, 84884, 13, 386, 783, 11595, 13785, 59409, 778, 485, 5016, 2305, 5183, 1501, 645, 7964, 9421, 13, 33328, 60297, 304, 3371, 730, 30954, 268, 91045, 258, 2030, 39013, 392, 34271, 268, 5699, 2391, 5566, 7714, 1531, 13368, 9421, 69252, 9779, 77, 624, 22171, 451, 1122, 388, 331, 13363, 778, 331, 6566, 71865, 21454, 7219, 2694, 1674, 79, 724, 2391, 67, 61065, 11, 732, 730, 30954, 39013, 392, 34271, 268, 39307, 458, 3371, 16942, 267, 21673, 647, 9819, 2752, 13, 2362, 77549, 5183, 55449, 28698, 2746, 451, 1122, 388, 331, 22851, 76, 826, 268, 467, 13820, 47226, 220, 16, 15, 15, 2030, 220, 16, 20, 19, 25471, 3184, 268, 462, 63948, 266, 59422, 11, 13368, 2694, 467, 21405, 67, 3591, 267, 6212, 24612, 14373, 1079, 7577, 94540, 5451, 55632, 665, 624, 16, 20, 19, 25471, 3184, 268, 304, 4892, 75999, 198, 6406, 275, 5679, 265, 2015, 4116, 5451, 220, 16, 20, 19, 38251, 932, 3184, 268, 4892, 75999, 732, 308, 2956, 6498, 21673, 47355, 939, 77549, 7584, 517, 2382, 13, 758, 362, 8698, 385, 55879, 1531, 93539, 328, 17612, 6212, 24612, 220, 16, 19, 15, 25471, 3184, 268, 13, 11473, 1528, 451, 1122, 388, 331, 22851, 76, 826, 268, 59095, 5676, 77556, 12304 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 57519, 48015, 13906, 624, 1427, 730, 30954, 39013, 392, 34271, 268, 3072, 6212, 24612, 14373, 467, 13820, 47226, 220, 19, 20, 2030, 220, 24, 20, 25471, 451, 1122, 388, 331, 13363, 13, 19000, 752, 16776, 9136, 301, 304, 3377, 6538, 3184, 268, 11, 668, 17058, 136142, 6538, 220, 16, 18, 15, 15, 14840, 220, 16, 20, 15, 15, 6212, 932, 5699, 811, 632, 1531, 29167, 80781, 41210, 13, 55448, 732, 2988, 610, 1933, 1217, 4711, 68, 1531, 37146, 11, 3275, 7865, 18955, 47650, 47226, 220, 18, 15, 2030, 4937, 220, 20, 15, 25471, 31247, 461, 529, 624, 18175, 74519, 4195, 27277, 898, 38809, 2746, 49666, 301, 458, 5342, 6433, 2030, 1411, 53776, 472, 76141, 1640, 431, 60135, 13, 386, 783, 11595, 13785, 59409, 778, 485, 5016, 2305, 5183, 326, 8535, 60637, 1079, 7577, 94540, 76, 39563, 8793, 13906, 13, 2362, 730, 30954, 39013, 392, 34271, 268, 26109, 2746, 794, 24638, 68, 2694, 17968, 14033, 17739, 425, 29560, 320, 72162, 33, 8, 304, 5347, 436, 21506, 14877, 7522, 11, 95524, 2746, 8564, 645, 732, 2340, 49191, 343, 2863, 47226, 5016, 4813, 2030, 434, 1776, 285, 13, 19000, 425, 29560, 29159, 37060, 738, 89282, 16034, 16742, 2694, 9970, 351, 18849, 18598, 325, 4368, 624, 641, 1991, 288, 35225, 511, 3591, 2746, 451, 1122, 388, 331, 43183, 709, 14047, 2714, 3667, 2823, 324, 55632, 2185, 19104, 2770, 6664, 69, 6772, 65078, 46014, 268, 11, 85389, 75626, 328, 22396, 11, 328, 1726, 9034, 258, 2694, 730, 30954, 2154, 337, 551, 72, 39013, 392, 34271, 268, 11, 1079, 7577, 94540, 7219, 1527, 83301, 13, 758, 2694, 98359, 42668, 21506, 61805, 336, 2694, 2988, 2391, 301, 391, 395, 83281, 3360, 1330, 331, 22851, 14410, 79, 615, 83, 12643, 47827, 13, 2362, 2340, 49191, 343, 2863, 4116, 2746, 3841, 8801, 896, 4079, 9421, 1389, 19358, 83, 11, 52507, 73794, 939, 24242, 10798, 86873, 304, 4368, 47375, 27684, 76166, 4116, 624, 83953, 98877, 1923, 268, 95013, 622, 36964, 5451, 773, 9971, 301, 3184, 268, 511, 3591, 59409, 778, 485, 5016, 2305, 5183, 1197, 84884, 11, 85389, 50062, 21793, 86, 5769, 21982, 425, 34271, 1194, 362, 2501, 7180, 39449, 709, 96922, 13, 5016, 2305, 5183, 59409, 778, 17392, 20004, 26331, 288, 511, 3591, 8725, 14649, 2739, 73938, 529, 30179, 19767, 2746, 93615, 647, 29886, 485, 275, 11595, 304, 3371, 77775, 58217, 2030, 13279, 3371, 3841, 8801, 896, 71, 1440, 624, 6123, 8801, 896, 71, 1440, 7219, 3371, 2823, 16676, 198, 53, 263, 21113, 268, 13785, 1489, 332, 33748, 730, 613, 932, 10207, 4865, 33748, 1079, 7577, 94540, 76, 39563, 2746, 794, 13, 479, 13956, 730, 30954, 2154, 337, 551, 72, 11, 2746, 89458, 8221, 1404, 3651, 551, 72, 11, 2746, 14168, 261, 730, 30954, 2154, 337, 551, 72, 39307, 2746, 21491, 42888, 5342, 10453, 11426, 288, 9896, 551, 72, 13, 8408, 47375, 9433, 20480, 2714, 6023, 301, 1960, 141786, 6538, 3371, 3841, 8801, 896, 4079, 144004, 25061, 13, 2362, 730, 30954, 794, 13, 24877, 268, 282, 50753, 665, 2694, 422, 27097, 1580, 268, 6395, 77556, 220, 16, 15, 15, 3841, 8801, 896, 71, 265, 1330, 14033, 5679, 13, 51709, 268, 13785, 1489, 332, 33748, 730, 613, 932, 55879, 1531, 72943, 40522, 3818, 40775, 81, 23747, 11595, 11, 10489, 1902, 65845, 72419, 665, 4509, 27277, 12385, 425, 2305, 3885, 11, 2746, 7219, 4509, 27277, 357, 5186, 89, 1960, 13, 2362, 89458, 65, 3891, 342, 27918, 220, 23, 15, 2806, 81, 66075, 13279, 3371, 84247, 144004, 25061, 4368, 13, 2362, 730, 30954, 14168, 1147, 90785, 665, 2746, 3651, 551, 72, 220, 18, 15, 386, 783, 11595, 624, 32, 1387, 304, 3371, 730, 30954, 268, 362, 858, 2863, 2030, 11473, 8767, 399, 305, 13029, 1960, 2746, 3184, 268, 142845, 18520, 485, 3841, 8801, 896, 71, 1440, 7219, 1163, 370, 13, 758, 69791, 730, 30954, 268, 33661, 1531, 6395, 4759, 220, 17, 15, 60352, 14033, 5679, 13, 6569, 482, 308, 2667, 724, 86, 13820, 74890, 2660, 2739, 85740, 68, 2746, 730, 30954, 2154, 337, 551, 72, 17226, 11, 72170, 83281, 5016, 811, 823, 5583, 13, 5016, 811, 823, 541, 42137, 13279, 67775, 86, 395, 10080, 69, 15113, 4368, 647, 16568, 321, 11, 2994, 2694, 3680, 1489, 1854, 2694, 451, 1122, 388, 331, 43183, 709, 73197, 61897, 529, 86913, 11, 85389, 3651, 551, 285, 1726, 9034, 48620, 72, 9680, 7070, 13, 18069, 7256, 16809, 1194, 1674, 2752, 79, 54840, 325, 3091, 15795, 19104, 83281, 5016, 811, 823, 5583, 14410, 79, 615, 83, 12643, 13, 479, 4659, 15897, 6772, 595, 24774, 10928, 2746, 62162, 603, 1845, 16597, 613, 50244, 615, 71, 54736, 11, 663, 5556, 2863, 2030, 8280, 50319, 74565, 624, 22171, 70536, 258, 47226, 20751, 266, 25646, 1011, 14773, 2030, 11461, 50259, 1370, 29626, 289, 550, 77158, 41210, 15462, 49666, 301, 2685, 7219, 11, 3371, 2714, 12222, 12304, 220, 16, 15, 14840, 220, 18, 15, 48015, 55449, 4865, 11, 13368, 21793, 86, 5769, 21982, 425, 34271, 1194, 362, 2501, 7180, 39449, 709, 96922, 85389, 624, 64747, 333, 1117, 68, 77414, 41210, 13785, 2746, 547, 802, 633, 85885, 198, 641, 2694, 29181, 11039, 21062, 896, 449, 5999, 2746, 5016, 333, 542, 1466, 3342, 47226, 70536, 13573, 57588, 2030, 2694, 5016, 273, 810, 65966, 1279, 21506, 14877, 7522, 11, 13368, 2746, 55734, 3135, 17739, 70536, 20868, 2305, 30353, 70430, 33748, 13, 8408, 67775, 86, 395, 4195, 277, 440, 6538, 220, 23, 17, 15, 1863, 306, 25334, 39307, 220, 17, 22, 20, 15, 62549, 1579, 59422, 462, 49241, 28865, 42137, 10489, 1902, 331, 12153, 13, 8408, 77775, 26976, 9736, 34538, 15082, 1079, 70536, 258, 289, 676, 4711, 9089, 34699, 6616, 6973, 71, 10938, 67775, 86, 33758, 939, 2988, 82872, 5451, 12595, 22837, 11, 49607, 823, 277, 7964, 268, 67775, 86, 395, 388, 712, 1440, 320, 23703, 3430, 7255, 12992, 4292, 32617, 1863, 5186, 9034, 362, 2501, 7180, 73794, 11, 3680, 13464, 11, 468, 63274, 2030, 88049, 320, 14419, 2749, 8, 54754, 723, 10928, 2746, 67775, 86, 395, 10080, 69, 15113, 732, 44336, 3891, 13532, 333, 1117, 68, 10712, 2714, 383, 65, 6772, 4368, 13, 1527, 4368, 6433, 794, 15671, 5999, 2694, 13532, 333, 1117, 68, 47143, 13785, 2746, 547, 802, 633, 85885, 13, 8408, 794, 329, 790, 337, 551, 72, 547, 3667, 3091, 5342, 1079, 7577, 94540, 95710, 58534, 3435, 2125 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 96673, 83281, 49371, 1489, 332, 2185, 46016, 1440, 13, 151643, 16, 17, 21765, 68, 81501, 562, 309, 9247, 2030, 49342, 676, 277, 349, 25, 71448, 66362, 22840, 64, 15738, 86389, 481, 17582, 27929, 198, 59243, 25, 30976, 62785, 220, 16, 23, 56580, 198, 16, 14, 16, 23, 21341, 883, 2746, 5586, 11599, 1079, 8082, 10798, 17261, 20007, 17029, 11, 17837, 27918, 10928, 304, 566, 318, 17739, 42678, 2305, 778, 932, 25714, 38130, 5676, 11, 2746, 4937, 773, 2341, 5840, 585, 360, 13977, 13368, 56580, 9421, 27521, 12583, 13, 49342, 25, 30976, 62785, 198, 18, 15, 13, 15, 18, 13, 17, 15, 16, 22, 444, 3083, 79, 813, 1967, 3065, 198, 43930, 1065, 11, 1674, 7658, 277, 11, 2502, 64, 454, 43226, 11, 92671, 3296, 11, 30081, 290, 11, 65350, 198, 34, 30457, 89, 392, 2636, 9416, 12, 8813, 84, 89249, 75563, 42068, 1937, 288, 26105, 6538, 3261, 300, 573, 7180, 52795, 14933, 198, 21666, 645, 65, 665, 50201, 647, 1268, 342, 59391, 7256, 75074, 69, 15113, 74, 309, 9247, 732, 51309, 54371, 14804, 9450, 68989, 8596, 343, 8948, 68, 30, 75074, 69, 15113, 74, 309, 9247, 7180, 52795, 14933, 19000, 294, 98280, 362, 4733, 151643, 32887, 7964, 6222, 49539, 31477, 861, 12307, 59380, 471, 28855, 198, 19795, 32887, 7964, 6222, 49539, 479, 3096, 11961, 39959, 530, 471, 28855, 32887, 7964, 6222, 49539, 479, 3096, 11961, 39959, 530, 471, 28855, 198, 9286, 28855, 67919, 18, 17, 15, 22, 20, 16, 198, 32887, 65, 1469, 11, 31656, 7253, 10938, 431, 535, 3004, 74947, 2185, 13, 28869, 828, 16515, 12, 63361, 43, 5999, 32101, 2861, 330, 77, 33758, 1, 10712, 73794, 11, 294, 860, 13, 1531, 3318, 61007, 33312, 137609, 22823, 11, 2739, 3612, 25423, 83, 3841, 32030, 50499, 2030, 88049, 9421, 3371, 431, 535, 79, 23647, 11, 1353, 74919, 10928, 19767, 21249, 440, 431, 535, 21062, 28698, 14840, 16034, 330, 4188, 22157, 1, 6212, 541, 13906, 11, 8185, 377, 4711, 10928, 304, 294, 9692, 5016, 1112, 508, 1205, 41846, 48842, 5133, 46, 58047, 1080, 12, 63361, 75, 431, 535, 3004, 74947, 2185, 198, 9286, 28855, 67919, 18, 17, 15, 22, 20, 15, 198, 9286, 28855, 67919, 18, 17, 15, 22, 19, 23, 198, 9286, 28855, 67919, 16, 20, 24, 24, 15, 16, 198, 44, 63233, 32887, 1371, 2739, 62785, 426, 55928, 51145, 135266, 32197, 10559, 90080, 52028, 268, 13, 8408, 13804, 68, 5999, 38805, 35323, 25, 883, 5786, 13920, 54493, 20491, 392, 304, 9820, 68929, 23559, 1371, 2030, 15719, 24929, 458, 55928, 2818, 65, 6433, 794, 6712, 939, 387, 495, 28324, 268, 74219, 82, 20300, 7714, 458, 1323, 27918, 13, 16887, 52507, 1531, 9089, 4443, 9820, 47227, 36616, 1424, 3818, 11, 20048, 1112, 508, 1205, 41846, 48842, 5133, 9286, 28855, 67919, 16, 20, 24, 24, 15, 17, 198, 9286, 28855, 67919, 16, 20, 24, 24, 15, 19, 198, 44, 63233, 746, 22143, 20252, 12, 6666, 7539, 320, 19, 20300, 7714, 340, 9286, 28855, 67919, 16, 19, 20, 21, 16, 15, 198, 19719, 59380, 220, 16, 42, 15843, 359, 267, 12982, 89, 59785, 36616, 7180, 1967, 1387, 8935, 277, 7964, 198, 51, 3585, 3627, 47227, 36616, 19677, 30849, 198, 9286, 28855, 67919, 16, 19, 20, 21, 15, 20, 198, 26223, 77, 610, 273, 32030, 10938, 1967, 1387, 8935, 277, 1371, 11, 80331, 12982, 89, 11, 14047, 77259, 220, 21, 22, 20, 16, 15, 11, 64215, 2545, 8887, 73607, 198, 51, 3585, 3627, 1967, 1387, 8935, 277, 1371, 14773, 134803, 198, 9286, 28855, 67919, 16, 19, 20, 21, 15, 15, 198, 51, 1134, 273, 1387, 8935, 277, 1371, 11, 5412, 713, 69, 529, 7256, 13452, 1371, 7180, 758, 12495, 12, 2030, 142791, 276, 495, 12063, 11, 24743, 723, 83, 20521, 77, 408, 11, 7219, 6381, 884, 5524, 88826, 13, 9740, 130655, 6772, 304, 9443, 85953, 13452, 12755, 2956, 12495, 25, 393, 11637, 11, 479, 2749, 33, 320, 51731, 220, 16, 15, 17, 21, 701, 27931, 52, 640, 59218, 320, 51731, 220, 18, 15, 17, 19, 701, 14773, 134803, 11, 58211, 12, 868, 11503, 320, 51731, 220, 17, 15, 15, 20, 701, 444, 5245, 8626, 134803, 11, 479, 2749, 33, 12, 868, 11503, 320, 51731, 220, 17, 15, 15, 22, 701, 14850, 35028, 11, 19677, 30849, 11, 1863, 5371, 38, 2749, 59218, 320, 51731, 220, 18, 15, 17, 21, 4292, 51, 3585, 3627, 350, 1134, 273, 1387, 8935, 277, 1371, 198, 9286, 28855, 67919, 16, 19, 20, 21, 16, 20, 198, 63405, 11042, 423, 67, 16074, 406, 48376, 477, 613, 465, 49371, 72101, 88548, 320, 11654, 884, 5524, 8, 7180, 350, 1134, 273, 32030, 12, 2030, 28275, 273, 32030, 10938, 1967, 1387, 8935, 277, 7964, 13, 151643, 20250, 261, 88487, 74, 19840, 668, 70, 8294, 28421, 481, 6616, 47827, 8495, 11460, 760, 434, 66224, 2285, 198, 16, 24, 13, 15, 18, 13, 17, 15, 16, 24, 220, 16, 17, 25, 17, 19, 760, 6538, 32016, 9420, 10394, 1064, 84450, 198, 70194, 38472, 33312, 88487, 74, 19840, 668, 70, 8294, 28421, 5999, 11, 74453, 8495, 773, 58052, 13368, 50837, 2746, 90935, 5016, 98280, 4368, 273, 14668, 11, 4443, 732, 8907, 1704, 26252, 4622, 933, 16030, 6395, 20048, 624, 20250, 261, 88487, 74, 19840, 668, 70, 8294, 28421, 25, 2055, 17837, 74919, 2746, 6250, 75, 61673, 2185, 198, 41, 58526, 61197, 87231, 13785, 220, 21, 17, 33312, 88487, 74, 23118, 2739, 30166, 4370, 11, 2746, 16868, 68, 8669, 220, 20, 48015, 53908, 4832, 343, 12583, 13, 25714, 31008, 730, 19840, 12643, 90796, 7256, 46954, 14410, 375, 92473, 11, 13368, 2746, 730, 23118, 67919, 2030, 12304, 46954, 939, 7377, 268, 73507, 3342, 46745, 38013, 388, 13, 59490, 2694, 18372, 89, 28122, 29413, 956, 372, 11, 2694, 7219, 2694, 730, 19840, 2739, 1174, 5840, 5999, 11, 10489, 1902, 331, 12153, 11, 47827, 8495, 58052, 1424, 17454, 624, 50855, 20048, 98877, 6402, 724, 220, 21, 3128, 349, 2030, 978, 2305, 1944, 724, 220, 16, 20, 71177, 13906, 362, 2024, 50528, 2694, 33312, 88487, 74, 19840, 9820, 38383, 730, 19840, 20427, 376, 8535, 13, 45481, 50435, 14785, 68102, 8495, 15462, 6250, 75, 61673, 28122, 276, 52015, 11, 13279, 2694, 2746, 730, 23118, 67919, 55248, 93985, 2030, 9089, 12222, 2694, 8008, 2739, 21545, 529, 624, 10141, 75, 25423, 932, 8495, 38472, 730, 19840, 8793, 67519, 97973 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 11, 47827, 8495, 15462, 4182, 10386, 52015, 68102, 2030, 57984, 9820, 143437, 38383, 730, 23118, 67919, 624, 54370, 2694, 47669, 730, 19840, 20048, 8495, 38472, 46954, 21982, 36866, 1100, 137143, 12385, 73507, 3342, 46745, 265, 8629, 8793, 18520, 14410, 295, 31793, 39537, 627, 9421, 56027, 624, 35, 1020, 35141, 5451, 17058, 274, 11706, 276, 42469, 89423, 96346, 74, 19840, 14448, 19985, 295, 12643, 11, 19767, 2746, 21506, 23334, 47635, 268, 11386, 383, 40866, 458, 13464, 268, 13, 75291, 261, 74453, 8495, 6616, 362, 2024, 50528, 55933, 75077, 33312, 88487, 74, 19840, 732, 362, 4733, 2755, 59493, 2030, 2739, 2660, 12487, 11, 46668, 68459, 6395, 10489, 1902, 331, 265, 14668, 624, 87876, 468, 5428, 20175, 74, 19840, 15719, 43860, 12222, 24929, 9421, 6969, 32863, 12643, 11, 22075, 38472, 730, 19840, 41852, 30875, 17917, 5999, 12385, 43860, 12743, 2267, 2892, 26109, 13, 2362, 54936, 14668, 14785, 20112, 32030, 2746, 1147, 590, 21545, 7256, 14612, 9416, 450, 9820, 7107, 14033, 42603, 11, 14948, 8495, 1527, 2986, 7256, 34368, 1587, 295, 17630, 624, 83516, 1528, 26647, 30353, 1531, 27298, 11, 22075, 6616, 11840, 406, 2032, 69, 15113, 423, 6331, 7180, 444, 78610, 8793, 48376, 2636, 59493, 14821, 11, 95402, 8495, 732, 90935, 50201, 13, 151643, 33, 42389, 481, 65520, 2956, 14406, 331, 12, 52491, 1902, 295, 38132, 481, 11001, 1778, 704, 21112, 812, 672, 13334, 905, 33315, 7276, 6576, 89, 2956, 14406, 331, 467, 9416, 465, 72043, 198, 49242, 3313, 10500, 66793, 41919, 40157, 8793, 25531, 2739, 1723, 45699, 6879, 268, 2030, 422, 2178, 13, 506, 1107, 14948, 94572, 61217, 81440, 732, 3128, 266, 11, 14948, 2746, 76904, 52716, 31380, 932, 624, 52491, 1902, 295, 38132, 732, 36866, 427, 6538, 330, 20705, 89, 40698, 508, 42, 471, 724, 44236, 1, 304, 33315, 7276, 6576, 89, 2956, 14406, 331, 6538, 1032, 3004, 78, 9608, 25, 15687, 77528, 2694, 61162, 7671, 3760, 2030, 10638, 2746, 52639, 9420, 373, 13, 40521, 61199, 15692, 13, 30512, 1902, 295, 38132, 33315, 7276, 6576, 89, 2956, 14406, 331, 7180, 425, 3760, 60097, 724, 44236, 732, 393, 29526, 8105, 12, 15692, 54, 9416, 465, 72043, 14047, 21062, 54708, 0, 23775, 647, 562, 780, 83776, 11, 59214, 6192, 15671, 11, 50244, 649, 610, 823, 3122, 27391, 13, 29618, 5197, 31151, 125245, 2576, 301, 89452, 2185, 7180, 425, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 5451, 220, 20, 33278, 267, 40308, 7288, 431, 2305, 2576, 301, 92660, 14047, 1527, 46728, 2694, 33278, 267, 40308, 7288, 12339, 77, 19767, 47143, 61606, 23446, 624, 16, 1494, 10938, 89452, 2185, 7180, 2746, 29618, 5197, 31151, 125245, 2576, 301, 7276, 47368, 12992, 33, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 23703, 77, 610, 1527, 46728, 2694, 33278, 267, 40308, 3378, 17029, 13, 7379, 268, 8495, 37699, 95817, 5451, 220, 20, 13, 29618, 5197, 31151, 125245, 2576, 301, 25521, 227, 425, 42389, 6517, 16654, 1093, 57, 63361, 50, 1637, 2149, 953, 730, 2992, 20359, 1893, 2749, 431, 2305, 2576, 301, 89452, 2185, 220, 20, 33278, 267, 40308, 481, 60074, 613, 609, 35323, 2746, 67232, 387, 69046, 268, 13, 220, 16, 95817, 7219, 2746, 13, 18069, 1422, 12070, 2956, 14406, 8528, 60097, 724, 44236, 8896, 2746, 57093, 13452, 7964, 29618, 5197, 320, 1282, 4458, 69, 273, 26, 1422, 12070, 2956, 14406, 331, 7180, 330, 15692, 42, 8501, 3975, 12741, 425, 3760, 14821, 10928, 10712, 5755, 12385, 26615, 1149, 320, 1626, 12070, 2956, 14406, 331, 7180, 330, 21685, 798, 1, 12385, 624, 33, 3760, 2362, 2869, 89, 60097, 724, 44236, 11386, 383, 42678, 93232, 320, 64, 1387, 83281, 36108, 7607, 79, 2412, 8, 220, 23, 23, 23, 11610, 2030, 14948, 61805, 261, 325, 1199, 6616, 31380, 25494, 35323, 6395, 58237, 5999, 30, 481, 29618, 5197, 31151, 125245, 2576, 301, 7276, 47368, 25, 425, 42389, 16654, 1093, 57, 63361, 50, 1637, 2149, 953, 730, 2992, 20359, 1893, 2749, 198, 32617, 35276, 20319, 1640, 4188, 35225, 220, 20, 17, 730, 23118, 13, 65520, 2956, 14406, 8528, 220, 17, 16, 52666, 24307, 3313, 444, 316, 652, 13, 65520, 2956, 14406, 331, 25, 60097, 724, 44236, 13, 444, 76141, 2030, 33278, 267, 40308, 48376, 3065, 268, 13, 65520, 2956, 14406, 331, 25, 31380, 11, 60097, 724, 44236, 13, 65520, 2956, 14406, 8528, 60097, 724, 44236, 809, 20175, 2127, 13, 65520, 2956, 14406, 8528, 60097, 724, 44236, 19833, 26745, 13, 65520, 2956, 14406, 8528, 60097, 724, 44236, 7828, 1272, 13, 1674, 376, 85584, 32708, 3988, 7180, 65520, 8313, 13, 25861, 68453, 2660, 17312, 14259, 406, 25151, 11, 14948, 2746, 668, 4188, 408, 33748, 479, 2840, 63023, 6250, 1149, 11687, 16034, 83126, 377, 2694, 23985, 19985, 2185, 752, 1543, 1527, 11567, 58305, 2739, 59908, 295, 12643, 141489, 13, 1674, 665, 1422, 12070, 32454, 10559, 7421, 76, 16074, 2986, 13, 33312, 50041, 431, 2305, 2576, 75, 932, 2739, 2301, 268, 16111, 16868, 68, 8669, 220, 16, 13, 1527, 65423, 11, 1967, 372, 1241, 1422, 12070, 2956, 14406, 331, 13, 42851, 1422, 12070, 2956, 14406, 9034, 57680, 13, 3680, 55632, 2185, 1422, 12070, 2956, 14406, 331, 13, 15687, 33043, 15462, 91265, 1197, 33425, 83, 30, 73110, 819, 12238, 13, 12741, 425, 3760, 1959, 10928, 11782, 709, 12385, 78601, 4081, 93339, 1959, 5999, 4368, 730, 23118, 54594, 17058, 31380, 74847, 291, 645, 304, 68042, 88687, 730, 23118, 2024, 14033, 4160, 7906, 723, 64, 32030, 11, 7219, 2694, 752, 380, 4368, 81831, 1659, 431, 3248, 12385, 27140, 266, 668, 42153, 695, 295, 5999, 13, 1581, 482, 80072, 13, 425, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 89452, 2185, 92660, 481, 29618, 5197, 31151, 125245, 2576, 301, 89452, 2185, 732, 49371, 83820, 431, 2305, 2576, 301, 76133, 11759, 2030, 95817, 35103, 3378, 17029, 14047, 444, 76141, 2030, 33278, 267, 40308, 8408, 431, 2305, 2576, 301, 11278, 321, 1859, 1140, 295, 12304, 61606, 42469, 89452, 11595, 7180, 3371, 425, 14412, 3092, 330, 33, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 3263, 38747, 595, 93790, 13, 220, 16, 24, 6978, 9592, 29618, 5197, 31151, 125245, 2576, 301, 89452, 11595, 5451, 220, 19, 481, 220, 23, 33278, 267, 40308, 7180, 425, 3760, 732, 60097, 724, 44236, 13, 220, 24, 89452, 2185, 13, 431, 2305, 2576, 301, 659, 425, 3760, 732, 60097, 724, 44236, 29618, 5197, 31151 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 125245, 2576, 301, 8125, 32454, 11595, 8408, 89452, 2185, 5451, 220, 21, 33278, 267, 40308, 220, 30543, 16034, 425, 14412, 3092, 425, 3760, 732, 60097, 724, 44236, 304, 2694, 431, 2305, 2576, 301, 92660, 13, 12741, 52639, 23620, 652, 9450, 355, 13920, 38897, 794, 59141, 86, 37780, 34699, 4368, 29505, 529, 11, 7219, 6616, 2714, 9089, 357, 28658, 11687, 13, 758, 2694, 55734, 449, 2030, 304, 29181, 15232, 11496, 75315, 883, 10928, 9820, 1959, 83801, 3893, 1323, 2305, 1387, 20005, 1959, 27868, 4942, 939, 1422, 12070, 2956, 14406, 7522, 2502, 1587, 288, 11, 13279, 12442, 9034, 2746, 57093, 11375, 60075, 13452, 7964, 12304, 80260, 6772, 27684, 2305, 10681, 83, 12583, 25, 8408, 29618, 5197, 15843, 23118, 12583, 7421, 97713, 83357, 67317, 91513, 31722, 43334, 43334, 76876, 2030, 2746, 13225, 78, 15843, 23118, 12583, 304, 14780, 2024, 2863, 12385, 18575, 67317, 5749, 13, 758, 55591, 12643, 4759, 14047, 17152, 95710, 730, 23118, 2024, 14033, 465, 74191, 624, 63590, 3760, 732, 60097, 724, 44236, 1, 5451, 1599, 9919, 28324, 320, 10862, 485, 89452, 11595, 8, 15687, 33043, 2746, 19572, 2694, 74857, 25, 45481, 26769, 2818, 65, 665, 29618, 5197, 31151, 81, 14033, 721, 47368, 17630, 16111, 1640, 4188, 35225, 220, 24, 3371, 21310, 546, 95817, 13279, 6975, 2739, 85740, 13, 19000, 5999, 85117, 18520, 10712, 7180, 2746, 84701, 38684, 2818, 65, 665, 29618, 5197, 31151, 81, 14033, 721, 56364, 13, 425, 3760, 2362, 2869, 89, 60097, 724, 44236, 15275, 389, 6702, 220, 24, 11, 553, 3482, 13629, 883, 9911, 8793, 26252, 70511, 3612, 19358, 83, 13, 1531, 11, 10712, 2714, 3667, 81574, 12385, 34368, 288, 7909, 1863, 12457, 40, 5052, 5757, 16226, 953, 6395, 293, 51865, 11, 294, 13, 305, 13, 40462, 1032, 6996, 268, 5451, 4759, 220, 20, 31380, 12429, 268, 44667, 28871, 42678, 4382, 6395, 12643, 5999, 4368, 69987, 135972, 2030, 28223, 645, 36408, 1358, 6772, 13, 425, 13, 293, 3760, 732, 1422, 12070, 7072, 17739, 57302, 724, 44236, 69342, 7180, 9089, 6395, 35103, 13, 20004, 36744, 47227, 85970, 16111, 28853, 13785, 90796, 7256, 730, 2542, 3591, 16034, 293, 3760, 732, 1422, 12070, 7072, 17739, 57302, 724, 44236, 12, 18510, 74, 1960, 12385, 468, 5428, 20175, 665, 22837, 13, 34903, 85970, 42759, 69, 6772, 74054, 51721, 896, 23129, 6616, 14948, 69342, 12385, 468, 5428, 20175, 665, 457, 6538, 293, 3760, 732, 1422, 12070, 7072, 17739, 57302, 724, 44236, 35951, 15719, 2030, 1508, 1531, 10928, 72701, 467, 66107, 1528, 2714, 30166, 654, 83, 13, 29618, 5197, 31151, 125245, 2576, 301, 89452, 11595, 5451, 220, 20, 481, 220, 21, 33278, 267, 40308, 7180, 425, 3760, 732, 92191, 60097, 724, 44236, 13, 220, 17, 89452, 2185, 13, 431, 2305, 2576, 301, 92660, 7180, 425, 3760, 732, 92191, 60097, 724, 44236, 13, 425, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 29618, 5197, 31151, 125245, 2576, 301, 8125, 32454, 11595, 8408, 89452, 2185, 5451, 220, 20, 33278, 267, 40308, 220, 30543, 16034, 425, 14412, 3092, 425, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 304, 2694, 431, 2305, 2576, 301, 92660, 624, 2101, 665, 1422, 12070, 32454, 10559, 7421, 76, 16074, 2986, 13, 34903, 3457, 10316, 6975, 25531, 13785, 1581, 482, 80072, 458, 6975, 0, 14804, 22163, 331, 1944, 15687, 11460, 30, 67232, 42068, 37633, 13, 1581, 482, 80072, 624, 45, 359, 27726, 220, 23, 23, 23, 11610, 6616, 425, 3760, 2362, 2869, 89, 60097, 724, 44236, 20481, 2126, 477, 295, 13, 481, 65520, 2956, 14406, 8528, 60097, 724, 44236, 732, 29618, 5197, 31151, 125245, 2576, 301, 198, 22171, 422, 11855, 14821, 137943, 10712, 2688, 65078, 96373, 13, 89452, 11595, 7180, 330, 33, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 1, 82706, 97, 220, 21, 29618, 5197, 31151, 125245, 2576, 301, 12, 15692, 43, 32454, 11595, 732, 49371, 83820, 52375, 1527, 46728, 2694, 33278, 267, 40308, 52375, 15967, 36616, 14047, 444, 76141, 52375, 77717, 13, 29618, 5197, 31151, 125245, 2576, 301, 7276, 47368, 58703, 425, 42389, 6517, 16654, 1093, 57, 63361, 50, 1637, 2149, 953, 730, 2992, 20359, 1893, 2749, 7219, 29618, 5197, 31151, 125245, 2475, 1778, 704, 21112, 812, 672, 13334, 905, 25521, 227, 42161, 29618, 5197, 31151, 125245, 2576, 301, 89452, 11595, 7180, 425, 42389, 6517, 16654, 1093, 57, 63361, 50, 1637, 2149, 953, 13, 220, 16, 1494, 10938, 89452, 2185, 7180, 2746, 29618, 5197, 31151, 125245, 2576, 301, 7276, 47368, 12992, 33, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 23703, 77, 610, 1527, 46728, 2694, 33278, 267, 40308, 3378, 17029, 13, 7379, 268, 8495, 37699, 95817, 5451, 220, 20, 13, 9323, 144599, 2858, 98734, 425, 3760, 732, 1422, 12070, 2956, 14406, 7522, 60097, 724, 44236, 481, 89452, 2185, 5451, 220, 20, 33278, 267, 40308, 732, 29618, 5197, 31151, 125245, 2576, 301, 26819, 61614, 81671, 13, 77717, 26073, 14047, 21062, 54708, 13, 425, 3760, 732, 13, 151643, 37, 56364, 16034, 32732, 647, 8422, 481, 28593, 198, 28852, 97682, 70777, 16034, 32732, 19625, 8422, 198, 16, 23, 13, 15, 21, 13, 17, 15, 15, 24, 11, 84301, 87481, 220, 16, 21, 25, 18, 21, 38183, 11, 220, 19, 24, 22, 17, 32050, 1626, 66075, 11, 220, 17, 67489, 546, 198, 65835, 93077, 2660, 10638, 15462, 32732, 19625, 8422, 31100, 93908, 5267, 78078, 53383, 11, 13906, 8793, 678, 6395, 326, 4003, 77158, 27726, 10638, 8641, 39771, 5451, 2694, 9518, 39145, 21982, 220, 17, 15, 15, 23, 261, 8422, 2030, 2694, 30976, 273, 32732, 19625, 13995, 4188, 2493, 3818, 13, 63678, 27726, 10638, 8641, 39771, 28831, 2030, 96434, 8652, 2746, 328, 1777, 8641, 4081, 27097, 1527, 21062, 45258, 624, 73946, 19625, 8422, 220, 17, 15, 15, 23, 488, 8422, 220, 17, 15, 15, 23, 1598, 465, 17837, 21140, 198, 41, 87723, 8669, 7219, 70298, 38018, 2153, 6673, 4582, 1268, 13, 328, 23733, 275, 773, 17859, 624, 45, 359, 70251, 41846, 10638, 47143, 15269, 276, 7219, 2429, 8422, 220, 17, 15, 15, 23, 70298, 330, 73946, 19625, 10567, 1, 6395, 1191, 268, 77828, 83953, 81212, 48158, 5436, 44977, 71713, 10638, 8725, 13785, 2746, 67935, 7219, 2429, 220, 17, 15, 15, 23, 261, 8422, 13, 77717, 82207, 10638, 52434, 19104, 79913, 2048, 7522, 393, 43226, 77828, 35, 2574, 11558, 9544, 10638, 7219, 95710, 32936, 13852, 12743, 8313, 25, 23229, 828, 11 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 647, 8035, 220, 17, 15, 15, 23, 11, 21903, 198, 26034, 4081, 64, 361, 20112, 33827, 10638, 4443, 23273, 6395, 6250, 86, 61806, 14357, 896, 40188, 1147, 33, 25, 458, 48414, 17058, 17792, 8, 7219, 3371, 32732, 19625, 8422, 6395, 2739, 7666, 268, 5267, 83953, 2694, 34243, 2319, 939, 220, 17, 15, 15, 23, 71797, 3091, 5342, 7491, 17790, 817, 8536, 2746, 96231, 16540, 904, 324, 16030, 1934, 93304, 68, 6616, 68312, 17029, 37699, 5451, 2694, 73962, 77828, 5012, 25, 29643, 7060, 70298, 20112, 1387, 4645, 416, 48007, 49232, 406, 11, 58881, 23273, 66793, 3457, 10316, 28149, 3903, 84193, 308, 941, 61430, 82, 8528, 4894, 43, 63361, 50, 60002, 76819, 4747, 74784, 5699, 265, 20319, 1079, 220, 16, 23, 13, 15, 21, 13, 17, 15, 15, 24, 4443, 220, 16, 23, 25, 20, 22, 25, 15, 15, 38183, 198, 43, 63361, 50, 60002, 73742, 35, 4500, 17, 5699, 265, 20319, 1079, 220, 15, 24, 13, 15, 22, 13, 17, 15, 15, 24, 4443, 220, 16, 15, 25, 19, 24, 25, 18, 20, 38183, 198, 43, 63361, 50, 60002, 220, 16, 23, 13, 15, 21, 13, 17, 15, 15, 24, 4443, 220, 16, 23, 25, 20, 22, 38183, 198, 42074, 11834, 7997, 83, 2429, 220, 17, 15, 15, 23, 8422, 2746, 330, 49, 54048, 1, 32732, 19625, 6395, 896, 23129, 624, 32617, 39264, 752, 1543, 467, 1038, 724, 14047, 732, 8422, 12, 2043, 13, 12741, 61430, 295, 6616, 35951, 4317, 383, 25655, 56354, 27073, 81591, 4368, 9338, 43, 63361, 50, 60002, 220, 15, 24, 13, 15, 22, 13, 17, 15, 15, 24, 4443, 220, 16, 15, 25, 19, 24, 38183, 198, 86, 2667, 10638, 12222, 3371, 17071, 8273, 4582, 18849, 4087, 383, 10638, 9101, 610, 4368, 69987, 13368, 1932, 304, 2694, 4438, 811, 2030, 67278, 8793, 30632, 198, 86, 2667, 10638, 34368, 3371, 3538, 4582, 18849, 5999, 2994, 14047, 2746, 17679, 273, 5999, 2694, 17071, 8273, 44896, 2994, 198, 43139, 572, 296, 1777, 10638, 24463, 408, 12222, 5451, 2429, 17071, 8273, 198, 53750, 7256, 70777, 16034, 32732, 19625, 198, 44, 1961, 11, 27298, 1531, 12412, 15462, 10246, 7964, 42786, 11, 2694, 8652, 8641, 9443, 58773, 70777, 138936, 10712, 68573, 10638, 304, 2694, 48158, 12236, 50, 7347, 17, 15, 16, 16, 32732, 19625, 481, 16102, 67232, 198, 22560, 424, 6538, 56478, 23, 21, 73946, 19625, 16, 16, 67489, 546, 198, 78078, 1967, 1070, 11, 66316, 54064, 15462, 92670, 33370, 4471, 87460, 17739, 328, 7347, 17, 15, 16, 16, 5451, 32732, 19625, 4108, 285, 16030, 13, 63678, 9544, 10638, 8652, 8793, 54548, 1508, 10638, 12236, 37, 56364, 17312, 9680, 2185, 36108, 32732, 19625, 7180, 15438, 266, 198, 28852, 97682, 67232, 6538, 1581, 3430, 288, 73946, 19625, 24, 67489, 546, 198, 78078, 2030, 93615, 12353, 11, 25861, 27726, 13906, 11, 8652, 3371, 330, 6610, 18157, 4030, 320, 4370, 23, 9940, 6395, 9057, 39563, 2030, 64069, 355, 15462, 20721, 285, 36616, 55376, 12, 5475, 7180, 2503, 151643, 15474, 1776, 25, 3360, 68412, 4368, 4229, 383, 6383, 276, 71968, 3371, 444, 12070, 11, 4841, 2030, 3539, 13, 18976, 59456, 30, 481, 386, 15938, 96326, 84, 529, 13002, 36964, 2285, 44999, 25, 3360, 68412, 4368, 4229, 383, 6383, 276, 71968, 3371, 444, 12070, 11, 4841, 2030, 3539, 13, 18976, 59456, 30, 481, 386, 15938, 96326, 84, 529, 13002, 36964, 2285, 198, 21, 13, 135777, 220, 17, 15, 16, 22, 220, 22, 13, 135777, 220, 17, 15, 16, 22, 1260, 23630, 5016, 92583, 220, 23, 24, 21, 22, 19, 198, 67168, 27047, 11, 11563, 24619, 479, 596, 261, 11, 4229, 383, 6383, 276, 11, 1260, 23630, 5016, 92583, 11, 55734, 3135, 25987, 65423, 11, 18976, 3445, 13, 79228, 624, 18, 23, 67489, 546, 6395, 330, 15474, 1776, 25, 3360, 68412, 4368, 4229, 383, 6383, 276, 71968, 3371, 444, 12070, 11, 4841, 2030, 3539, 13, 18976, 59456, 47369, 17, 19, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 17, 17, 25, 17, 23, 198, 32, 331, 5580, 2746, 386, 3891, 76, 2305, 8479, 1940, 27926, 4841, 95035, 2429, 794, 13, 11565, 10928, 8641, 4368, 48100, 595, 1003, 10559, 70777, 68102, 20048, 13, 19929, 1021, 14047, 2694, 50244, 424, 25, 330, 40369, 66316, 4368, 15928, 24803, 19349, 11, 6538, 2429, 2746, 42786, 75130, 11, 2746, 328, 39563, 2746, 16111, 17630, 11, 2746, 8896, 2694, 10928, 2030, 2746, 15719, 2714, 14047, 85, 965, 13536, 12032, 1189, 1365, 38747, 4368, 342, 2095, 8354, 53797, 25, 3703, 1110, 2136, 20145, 905, 26213, 22995, 28, 915, 7994, 47, 22, 71, 43408, 44, 19, 63225, 198, 58461, 70251, 396, 1531, 65733, 11, 304, 2694, 63318, 306, 21673, 1581, 13718, 665, 4443, 26769, 28386, 269, 17739, 2030, 14609, 360, 266, 2071, 84176, 6395, 75130, 2030, 74021, 97576, 12, 2030, 2030, 8372, 16053, 4368, 79810, 97369, 387, 709, 4905, 268, 6395, 326, 49072, 13, 96943, 47827, 44390, 1527, 1580, 11595, 8793, 289, 371, 86, 51817, 6772, 2030, 304, 54649, 20404, 309, 1782, 275, 387, 8400, 5178, 12643, 13, 11401, 23162, 54988, 5999, 2694, 330, 9499, 380, 1, 15269, 258, 6395, 1197, 33425, 268, 2030, 6395, 4845, 268, 2712, 510, 16, 13, 34903, 64857, 7180, 6785, 1863, 24619, 7180, 53165, 42786, 624, 17, 13, 3874, 49662, 8343, 268, 16111, 342, 932, 49503, 11, 572, 6616, 479, 19981, 48985, 51939, 5451, 17443, 94718, 1960, 49279, 30203, 301, 31151, 752, 396, 13, 5016, 263, 84114, 66485, 8896, 38897, 730, 1003, 24803, 19767, 2048, 1528, 70777, 54649, 1230, 839, 1579, 13785, 96373, 624, 18, 13, 34903, 90556, 304, 70330, 94306, 14785, 2746, 27914, 383, 34542, 13, 61043, 15719, 12788, 20096, 2543, 9510, 16030, 624, 19, 13, 34903, 2518, 268, 8688, 45996, 2030, 13785, 71168, 13, 71161, 9820, 65754, 20112, 32030, 34749, 28831, 16034, 49371, 48414, 11, 22075, 8495, 289, 15113, 81760, 343, 19349, 22589, 13, 25714, 2694, 38684, 47404, 81146, 10928, 12304, 28789, 9774, 2712, 5451, 42789, 20048, 624, 20, 13, 34903, 52367, 2892, 467, 9416, 465, 11, 2746, 55928, 2739, 5342, 426, 2030, 2746, 10712, 467, 16568, 50837, 267, 8793, 458, 15139, 355, 435, 21558, 3342, 320, 2448, 11171, 68, 275, 568, 35780, 90039, 27431, 83281, 939, 44336, 956, 1387, 2048, 9034, 467, 16568, 17312, 72131, 12743, 32863, 14821, 1147, 13, 425, 13, 330, 43, 82040, 79, 21797, 1, 1154, 320, 896, 321 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2714, 9911, 38684, 1154, 98877, 1923, 268, 68378, 268, 8641, 29167, 956, 32030, 8896, 11, 2694, 97096, 2746, 75074, 83301, 11, 7060, 51939, 54548, 5999, 11, 14948, 46668, 93504, 6395, 261, 267, 304, 2694, 30554, 29413, 1365, 6395, 12442, 2407, 83126, 377, 10928, 25531, 1365, 3318, 89002, 26109, 13, 34903, 512, 71, 12495, 1531, 668, 11, 14948, 6216, 58773, 482, 28831, 608, 36, 5368, 1528, 294, 2305, 1645, 87481, 2030, 5651, 9241, 17029, 14821, 11, 52507, 9911, 24929, 8793, 18520, 24438, 32175, 46014, 268, 12643, 15719, 13, 1967, 1776, 5999, 11937, 2746, 49890, 331, 2185, 17312, 30554, 29413, 77414, 41210, 607, 2577, 47631, 6772, 57686, 62713, 624, 21, 13, 60082, 220, 16, 13, 25006, 8528, 18977, 344, 17630, 8495, 51939, 30, 506, 1107, 5999, 26769, 75074, 83301, 2739, 6331, 268, 66809, 13, 12222, 8652, 139115, 2714, 4260, 392, 83, 30, 21766, 12442, 9034, 425, 14412, 34271, 2185, 30, 24209, 44977, 8495, 55813, 15462, 1417, 275, 26413, 34699, 23273, 6395, 1197, 69, 433, 17454, 30, 59330, 647, 79985, 13363, 5999, 1531, 11, 13279, 3371, 434, 585, 1960, 6395, 90556, 624, 22, 13, 60082, 220, 17, 13, 25861, 66316, 31357, 7357, 6454, 265, 55339, 11, 51290, 87862, 8536, 17454, 11, 2746, 10638, 143437, 31932, 331, 82207, 13, 56231, 4443, 44390, 4443, 37337, 88185, 31915, 2391, 55499, 59330, 2185, 304, 2694, 8800, 36614, 7219, 25655, 44919, 11, 35141, 10638, 10928, 87040, 28789, 84100, 308, 40193, 13, 19929, 811, 308, 25136, 10638, 43860, 2746, 220, 17, 12, 18, 140917, 11, 22075, 8495, 23273, 47008, 13, 467, 32289, 8495, 13785, 87040, 2518, 268, 12385, 13785, 37337, 1626, 8535, 30, 13409, 9416, 2185, 5999, 48803, 13818, 13, 467, 32289, 8495, 10712, 91442, 258, 83835, 8793, 13279, 2694, 328, 1777, 90556, 30, 28275, 88787, 6250, 47635, 25151, 50926, 4368, 91442, 6395, 3371, 88687, 17312, 1581, 13718, 665, 12743, 613, 1960, 12380, 268, 304, 29003, 28064, 1205, 1064, 422, 8944, 89, 6395, 95723, 5436, 44977, 624, 23, 13, 60082, 220, 18, 13, 22463, 45996, 11, 8688, 45996, 13, 25861, 27726, 50697, 15462, 678, 64649, 258, 61606, 42469, 2030, 458, 261, 8656, 42469, 37210, 68, 285, 348, 6670, 71168, 13, 467, 32289, 8495, 28095, 26769, 44390, 50244, 424, 304, 4368, 19929, 2391, 13920, 2030, 9820, 10489, 891, 28275, 91661, 11, 10712, 330, 2154, 6130, 13820, 24209, 65845, 9416, 2185, 1, 15269, 58158, 5267, 24, 13, 60082, 220, 19, 13, 14268, 70251, 16676, 2746, 425, 14412, 43414, 312, 54327, 2030, 7746, 650, 14383, 1387, 2257, 13, 16354, 275, 12643, 42786, 342, 932, 304, 5016, 392, 88551, 12743, 68, 68412, 13, 506, 1107, 13368, 53835, 8495, 6616, 30, 12741, 70944, 69, 34699, 46652, 1370, 380, 10559, 2825, 89097, 1147, 13, 425, 13, 75315, 6395, 69987, 304, 39416, 6772, 67317, 13, 55448, 2746, 42786, 304, 50435, 2825, 89097, 74453, 6616, 1032, 13920, 17630, 11, 304, 27914, 383, 32175, 71, 51817, 6395, 12643, 13, 55448, 9911, 91440, 289, 79748, 6772, 668, 4188, 713, 13820, 95817, 13, 43997, 10638, 939, 86, 19981, 304, 70836, 4928, 268, 4368, 1032, 54327, 13281, 1579, 13111, 9544, 11, 28095, 773, 14761, 665, 10638, 35783, 6250, 47635, 25151, 7180, 31932, 331, 2030, 304, 25312, 11, 16049, 7522, 1859, 484, 6772, 13, 19000, 81831, 295, 11, 14948, 8495, 68876, 304, 2694, 1205, 1064, 1424, 17454, 11, 2746, 8495, 3371, 773, 387, 85740, 268, 24714, 266, 1579, 932, 13906, 6566, 30353, 624, 16, 15, 13, 60082, 220, 20, 13, 29247, 332, 6772, 27726, 10638, 8793, 773, 41983, 431, 13803, 269, 1579, 325, 1065, 546, 13368, 8495, 9057, 44977, 20048, 11, 19104, 289, 550, 78, 12709, 303, 529, 6616, 6216, 70, 54081, 16123, 458, 71126, 50244, 424, 17312, 328, 1777, 11, 2746, 10638, 54064, 17790, 54459, 26252, 30420, 25, 4593, 198, 16, 16, 13, 60082, 220, 21, 13, 4863, 21062, 36568, 42603, 11, 572, 8896, 37699, 2746, 14410, 69701, 20005, 12380, 5451, 71126, 479, 4260, 392, 86, 5186, 44861, 26612, 6395, 11460, 13, 56231, 650, 42153, 695, 7714, 42786, 20048, 650, 22328, 695, 295, 19349, 11, 12385, 30, 54068, 42786, 53835, 883, 331, 14649, 422, 17707, 25494, 4317, 344, 458, 13, 16887, 42046, 17630, 9911, 67519, 13, 330, 70194, 24440, 8793, 7060, 19285, 13368, 2746, 43999, 11, 4593, 330, 8896, 8641, 4368, 81331, 261, 40407, 17562, 82, 704, 24134, 14410, 62713, 13, 12741, 220, 17, 13, 47355, 939, 13177, 31793, 5999, 74021, 83835, 81331, 11, 323, 932, 32595, 20048, 8495, 40662, 304, 2429, 61606, 42469, 33278, 330, 33, 68595, 1, 14047, 21062, 54708, 21506, 35508, 220, 16, 23, 11, 18, 624, 16, 17, 13, 60082, 220, 22, 13, 43997, 6616, 61150, 42137, 28086, 9450, 355, 408, 14649, 19767, 709, 74, 2717, 5999, 11, 773, 4446, 68, 10638, 54064, 4368, 834, 1137, 13818, 4368, 11, 6616, 8495, 10489, 65, 84384, 7522, 14821, 624, 16, 18, 13, 60082, 220, 23, 13, 220, 24, 14, 16, 16, 5999, 9820, 38574, 273, 33328, 55754, 13, 479, 4260, 75967, 8495, 11, 14948, 2746, 77094, 7294, 2694, 2274, 12, 3477, 36616, 34542, 458, 52716, 8259, 2770, 43506, 268, 30, 619, 14134, 32595, 2770, 43506, 268, 9450, 355, 10938, 67775, 4223, 970, 61558, 552, 2030, 32936, 78765, 273, 1070, 2030, 467, 79748, 1536, 304, 3371, 7279, 2030, 66653, 1126, 8793, 18520, 15269, 276, 13, 8495, 73689, 6616, 10928, 63318, 44275, 2030, 80617, 67952, 10951, 10207, 1704, 20005, 28275, 665, 457, 304, 58154, 13, 5004, 372, 80617, 8495, 2048, 331, 4368, 305, 2267, 288, 53363, 23630, 7219, 9089, 30, 19000, 74453, 8495, 9089, 8641, 8343, 268, 13, 16887, 572, 6616, 75687, 10938, 93504, 330, 83956, 65845, 9416, 2185, 267, 383, 18174, 24803, 1, 81314, 333, 723, 11, 773, 75130, 8495, 83835, 11, 14948, 2694, 21474, 1531, 14047, 2429, 386, 539, 458, 2340, 54840, 1713, 23651, 36408, 22157, 8896, 13, 467, 9510, 84, 30, 63678, 4443, 22163, 70, 20005, 730, 1003, 24803, 11, 2746, 458, 2694, 1007, 33235, 15671, 6079, 6395, 3371, 472, 2245, 901, 34271, 268, 939, 386, 80392, 54936, 333, 17454, 11, 40566, 27779, 6395, 37896, 13, 16887, 1531, 8896, 68312, 17029, 13, 43997, 8495, 8652, 21506, 58158, 11, 14948, 71968, 220, 24, 14, 16, 16, 9820, 24209, 65845, 9416, 2185, 4087, 68412, 11, 773, 17630, 8495, 67519, 13, 71161, 1531, 4116, 9820, 24209, 65845, 9416, 2185, 13, 9236, 27298, 35323, 36077, 6395 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 41983, 65571, 69046, 7714, 70777, 4443, 50435, 9167, 268, 76, 539, 13, 16887, 26769, 70777, 12643, 6538, 1007, 33235, 15671, 794, 15671, 21506, 3612, 19358, 83, 2030, 3638, 10606, 529, 13, 5004, 372, 11, 22075, 96042, 7256, 2274, 12, 3477, 1268, 11595, 40157, 6616, 52639, 2694, 4724, 562, 17606, 645, 2030, 2694, 330, 32, 331, 325, 939, 479, 13160, 1, 293, 51865, 30, 64894, 19294, 8495, 8652, 9820, 65754, 74054, 56500, 13, 25861, 68573, 43860, 25494, 80122, 2257, 624, 16, 19, 13, 60082, 220, 16, 15, 13, 8495, 56945, 37210, 68, 1064, 30, 63678, 20048, 8495, 37210, 68, 1064, 13906, 48414, 30, 25861, 357, 6712, 13906, 1674, 3433, 70777, 2030, 44628, 485, 53797, 7219, 11, 9089, 9820, 34734, 1952, 59330, 2185, 6395, 293, 51865, 2030, 8793, 35323, 3371, 80072, 268, 6395, 2739, 2172, 10316, 11, 2746, 6975, 140729, 13785, 2746, 63318, 44275, 5504, 13920, 21673, 2030, 6095, 13518, 9167, 268, 2061, 3591, 4853, 17029, 12643, 13, 8408, 9167, 268, 91009, 37369, 8896, 34749, 72705, 20404, 295, 2986, 11, 13368, 8495, 2739, 6984, 6772, 75130, 13, 8408, 9167, 268, 86, 15113, 89249, 12643, 566, 32997, 332, 424, 83835, 6395, 17058, 47669, 9167, 268, 3748, 31618, 13, 15017, 48985, 74453, 16111, 13279, 17058, 38684, 4229, 48414, 22385, 8641, 14047, 5183, 2712, 13, 44462, 647, 29886, 485, 50158, 74054, 8486, 1859, 71, 273, 10638, 11, 9089, 15462, 647, 371, 4101, 6538, 8459, 13, 11331, 355, 30102, 7219, 13370, 77868, 12540, 88287, 624, 49, 5276, 12429, 75018, 510, 23, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 15, 25, 17, 23, 198, 641, 36744, 11426, 2694, 9774, 7052, 289, 66107, 38486, 10638, 8652, 18520, 20004, 37285, 11706, 22385, 13, 142839, 12647, 2501, 59302, 642, 11, 19104, 37699, 5883, 11, 13484, 2030, 28831, 2185, 3647, 331, 71378, 5999, 8793, 1931, 380, 16053, 13, 86417, 5699, 44704, 67278, 11, 51290, 74764, 27599, 84, 753, 86417, 50041, 2988, 2391, 13920, 76307, 653, 426, 6395, 71, 3454, 2746, 58583, 477, 956, 1859, 11, 2030, 8793, 12304, 12583, 595, 6283, 258, 6712, 5016, 5612, 354, 7070, 13, 139349, 1013, 22837, 624, 32, 652, 26769, 38868, 17405, 51327, 723, 50041, 58062, 45, 359, 8343, 83, 8641, 2746, 1967, 1070, 572, 6616, 93504, 330, 43, 82040, 14367, 325, 1, 7219, 13305, 336, 4724, 436, 3048, 21506, 61805, 336, 6395, 4845, 68, 13160, 8896, 13, 730, 13796, 5999, 11, 6616, 2994, 31357, 93898, 1467, 20005, 3680, 10661, 37949, 44096, 1704, 41101, 267, 0, 27484, 198, 65, 1630, 1370, 295, 75018, 510, 32, 1387, 2746, 330, 6953, 19985, 5342, 321, 2185, 1, 47226, 91442, 2030, 17443, 62642, 5999, 3582, 16053, 13, 47436, 444, 12070, 4116, 1531, 11, 22075, 10638, 23273, 67519, 2714, 6130, 485, 11, 8641, 328, 16576, 68625, 13, 47436, 479, 596, 261, 5016, 672, 52877, 13, 14235, 2444, 11687, 4368, 1365, 13368, 13279, 444, 12070, 1365, 44802, 1950, 2030, 2818, 65, 465, 5016, 11855, 2493, 7865, 11, 8099, 63859, 408, 4368, 1147, 1704, 32251, 343, 2030, 83281, 36108, 38684, 663, 34162, 320, 811, 8801, 16631, 12385, 572, 10928, 25531, 701, 2030, 2694, 62642, 4087, 17917, 24929, 625, 2956, 37592, 6772, 13329, 344, 304, 6616, 142127, 5451, 2429, 6395, 3638, 309, 1268, 19875, 62642, 4368, 11, 21506, 1323, 4865, 11, 5999, 8486, 51817, 11, 6973, 426, 2358, 2956, 28494, 7364, 11, 2746, 431, 19957, 68, 6395, 2739, 70489, 11, 22075, 12412, 2048, 1528, 37337, 268, 14410, 62713, 12643, 1353, 2391, 30353, 4992, 13, 2055, 15719, 2694, 91442, 3371, 38453, 63859, 2694, 1230, 4480, 58791, 713, 26612, 93395, 289, 21176, 11, 2030, 84911, 54371, 27298, 1531, 2694, 6395, 5198, 61878, 343, 19875, 12380, 28275, 3612, 1942, 11, 22075, 9820, 773, 61606, 23446, 7357, 11, 2746, 11937, 274, 63859, 2257, 59765, 5451, 15928, 1579, 6395, 11460, 8896, 11, 51290, 35323, 9820, 2922, 36035, 13820, 136458, 258, 5999, 11, 773, 72734, 730, 4942, 77509, 13, 16887, 330, 33297, 56530, 1, 26109, 2994, 13906, 1923, 59765, 668, 4188, 776, 7522, 320, 2660, 396, 2694, 650, 2721, 2577, 665, 1863, 51078, 27097, 8, 47226, 68625, 12385, 444, 12070, 12385, 1298, 26360, 2030, 5016, 672, 52877, 13, 83929, 98918, 5999, 1531, 13279, 444, 12070, 10928, 8641, 773, 35276, 59141, 11, 22075, 10638, 23273, 67519, 2714, 6130, 485, 13, 479, 27951, 13497, 273, 11, 98171, 799, 13497, 273, 0, 141196, 8896, 2694, 62642, 51939, 17790, 83801, 72131, 29413, 11, 22075, 4368, 32936, 17790, 294, 27097, 303, 294, 1370, 86, 17739, 2518, 295, 624, 71, 1176, 72, 75018, 510, 29165, 4942, 220, 18, 25, 5699, 2717, 30632, 13368, 96042, 11, 1763, 2429, 29003, 28324, 75130, 1940, 1241, 326, 15938, 65295, 30632, 13785, 2746, 70298, 11763, 11991, 645, 3371, 11806, 7964, 1152, 71, 1536, 25531, 2030, 25531, 26252, 37896, 11, 5054, 258, 6395, 4368, 18107, 11595, 17790, 76, 1127, 1147, 5197, 355, 8535, 30, 4894, 22, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 16, 25, 18, 20, 198, 28684, 12743, 932, 3680, 408, 13279, 15462, 647, 371, 4101, 6538, 8459, 13, 2926, 13, 434, 447, 54077, 2694, 25714, 2986, 92172, 13368, 46668, 2876, 534, 5649, 12070, 7791, 27431, 3371, 41158, 6452, 465, 709, 426, 1365, 3089, 2305, 426, 477, 724, 14047, 3371, 467, 58193, 220, 17, 15, 16, 23, 304, 1084, 55318, 1154, 2994, 5016, 43183, 723, 1531, 9089, 8099, 67056, 13, 330, 51583, 330, 304, 2694, 98359, 198, 32687, 269, 2694, 92610, 61806, 549, 19000, 42514, 686, 2746, 467, 15113, 22385, 7364, 8793, 75130, 1365, 5883, 434, 1854, 3959, 14840, 16034, 9740, 20512, 7522, 1154, 9820, 4841, 7256, 1674, 665, 732, 67588, 1154, 348, 32289, 41158, 575, 13, 50837, 267, 8596, 343, 1154, 434, 300, 26977, 50837, 267, 6616, 93898, 37419, 1959, 6616, 5999, 10672, 2356, 7180, 82, 42514, 16448, 83953, 2048, 7522, 11000, 11595, 93985, 2694, 25987, 325, 1923, 9421, 13, 60082, 36077, 65314, 29413, 342, 17707, 323, 932, 32595, 2739, 385, 1440, 13, 45481, 2746, 11607, 261, 1626, 32454, 1528, 9820, 38574, 273, 94678, 627, 11, 19104, 143437, 83246, 49341, 12475, 63236, 624, 22, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 23, 25, 17, 17, 198, 5183, 330, 1912, 48838, 285, 850, 1, 27726, 10638, 28086, 13906, 45506, 36852, 82751, 11, 6616, 79373, 1411, 84642, 23273, 142832, 2305, 778, 343, 7219, 2746, 10925, 2660, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 96520, 6616, 79373, 70511, 5999, 11, 8896, 9089, 10928, 41235, 2502, 332, 3612, 1942, 26252, 26184, 87481, 624, 75919, 36702, 268, 1850, 40697, 73455, 16053, 25531, 9421, 57519, 2655, 22837, 25, 18069, 4081, 27097, 47355, 11, 4368, 66796, 69, 36956, 261, 47355, 2030, 84132, 7522, 267, 28865, 624, 22171, 4081, 64, 361, 47355, 5999, 2746, 7416, 8229, 2694, 38183, 29413, 11, 2694, 66796, 136507, 265, 5999, 2746, 467, 21405, 776, 4905, 960, 2030, 2694, 9063, 5999, 50697, 84132, 7522, 267, 28865, 1365, 752, 380, 724, 38805, 13548, 81591, 2030, 5451, 36077, 2502, 332, 624, 18175, 2732, 21673, 11000, 11595, 12583, 60911, 7455, 3004, 33827, 11, 58319, 732, 3041, 65, 6433, 67775, 6072, 12070, 79, 391, 1268, 2739, 4748, 83, 12583, 624, 33, 956, 32030, 6616, 77016, 30, 25861, 53165, 32595, 8793, 55813, 624, 76, 4817, 11, 431, 13, 2157, 1571, 198, 22, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 25, 15, 22, 198, 17360, 52549, 55813, 79913, 84579, 11, 9089, 13785, 26769, 1007, 724, 4865, 21673, 2030, 304, 30781, 17739, 10928, 1007, 78571, 1241, 6433, 60911, 2914, 268, 7219, 50203, 4370, 13, 619, 15326, 19772, 1574, 3184, 2185, 5999, 9820, 434, 35548, 11, 2746, 458, 6616, 14609, 360, 1268, 10938, 739, 10719, 295, 624, 32617, 98863, 6817, 321, 5999, 65681, 2030, 93328, 65733, 25, 444, 297, 274, 326, 264, 274, 274, 384, 308, 753, 15755, 267, 2746, 350, 32289, 34749, 2098, 70628, 5883, 12, 2030, 17324, 590, 17739, 13484, 19625, 68, 275, 267, 15141, 2986, 320, 9433, 31451, 44979, 69, 3122, 11, 57671, 467, 6712, 11, 1863, 5262, 16315, 264, 1362, 21558, 1440, 13, 8670, 811, 1863, 51078, 27097, 2030, 1863, 12540, 9416, 261, 14821, 87862, 16212, 1174, 17790, 15462, 350, 9913, 71467, 19358, 465, 624, 26034, 32936, 12412, 47143, 10207, 89730, 17630, 11, 15719, 10638, 9421, 34734, 798, 41663, 65224, 1850, 14033, 6433, 13, 96520, 13785, 220, 17, 15, 45506, 9057, 275, 2986, 10638, 48803, 25987, 325, 71, 137143, 18520, 13, 25861, 95898, 15398, 59765, 0, 70264, 8052, 3122, 77, 610, 36702, 268, 42759, 265, 10638, 12222, 220, 16, 856, 1079, 12353, 1365, 2030, 37801, 273, 12063, 6616, 6538, 3371, 80072, 724, 61231, 932, 647, 6670, 642, 1952, 5451, 2429, 11, 572, 3457, 645, 3264, 3591, 732, 8031, 296, 57588, 624, 46, 723, 4081, 768, 20112, 32030, 1531, 50435, 51309, 54371, 8793, 13, 71161, 1365, 8652, 5999, 6616, 28086, 16942, 723, 388, 7219, 709, 13464, 268, 1365, 2746, 4697, 4027, 11250, 610, 36702, 268, 9724, 388, 1726, 7522, 9089, 883, 331, 14649, 9179, 49662, 939, 11806, 7964, 80072, 268, 21928, 0, 19000, 35141, 883, 34368, 8641, 21207, 343, 90845, 13, 14235, 12583, 50368, 20005, 330, 8033, 50958, 1, 1079, 89423, 13, 19000, 2714, 2712, 406, 883, 10928, 458, 2694, 142832, 68947, 6433, 6250, 66671, 939, 350, 14033, 50499, 31151, 288, 330, 41557, 36702, 268, 497, 22075, 1531, 140527, 4443, 386, 539, 39264, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 17, 17, 25, 20, 24, 198, 52445, 11, 2746, 11631, 2030, 2746, 304, 24440, 512, 65, 19875, 305, 1847, 77, 28122, 2301, 2739, 385, 1440, 4818, 75, 5276, 13, 19000, 15719, 1962, 10453, 7219, 35505, 11, 2746, 23276, 1528, 275, 2739, 2024, 2956, 19285, 140729, 4368, 137296, 18520, 11, 2994, 39264, 308, 941, 18520, 13, 8408, 73580, 404, 61227, 54840, 1528, 2694, 25987, 325, 71, 10938, 73580, 404, 968, 365, 300, 331, 10938, 88837, 30005, 89131, 7219, 472, 63767, 283, 1440, 624, 40369, 2739, 8400, 709, 67058, 330, 39, 471, 19104, 6624, 3263, 5016, 263, 52287, 7180, 23273, 4368, 48686, 1984, 932, 285, 13, 14235, 14821, 17837, 11706, 14948, 9089, 2746, 59869, 268, 293, 645, 4370, 13, 49371, 5016, 273, 15160, 2030, 1644, 6984, 13, 2362, 1174, 5451, 3371, 29003, 28324, 17518, 268, 2030, 31932, 7522, 13818, 268, 13, 1967, 1776, 27726, 10638, 10928, 6538, 1260, 23630, 5016, 92583, 17790, 11316, 39771, 13785, 2746, 70038, 45699, 2694, 1644, 6984, 778, 331, 485, 3893, 56027, 13, 47436, 36744, 15139, 940, 9176, 5699, 896, 6433, 6538, 1032, 54327, 12, 14840, 25422, 2863, 26824, 12304, 13, 43997, 220, 21, 20, 48015, 12304, 468, 766, 46646, 24131, 331, 83090, 304, 78233, 59801, 2956, 426, 12643, 47827, 2746, 38378, 25531, 18593, 1174, 2030, 2746, 1032, 28324, 25531, 312, 28064, 12643, 13, 1674, 642, 572, 9089, 5098, 344, 59801, 2956, 426, 25658, 4775, 3818, 9089, 13368, 4368, 5016, 811, 3065, 5583, 612, 304, 17058, 94718, 1960, 28831, 624, 1514, 275, 27431, 17630, 9089, 2746, 468, 766, 46646, 2739, 30781, 12070, 343, 69, 15938, 13, 18069, 78765, 277, 72964, 1615, 266, 6772, 6538, 220, 17, 15, 15, 20192, 7219, 220, 17, 15, 15, 15, 19461, 11, 4368, 2157, 1571, 6538, 220, 19, 15, 15, 20192, 7219, 220, 19, 15, 15, 15, 19461, 11, 4368, 3680, 55632, 28122, 273, 2015, 6538, 220, 23, 15, 15, 20192, 7219, 220, 23, 15, 15, 15, 19461, 2030, 44367, 10882, 2787, 1621, 265, 465, 6538, 220, 16, 15, 15, 15, 20192, 7219, 220, 16, 15, 220, 15, 15, 15, 19461, 13, 19000, 6250, 71, 29802, 1517, 285, 5999, 3893, 2024, 645, 7964, 11, 2746, 11903, 811, 19104, 650, 261, 140463, 28494, 22539, 27784, 624, 83953, 36744, 5098, 2071, 92707, 66522, 28122, 3759, 331, 811, 3065, 541, 8, 8948, 47827, 2746, 330, 6953, 5676, 1, 25531, 18593, 1174, 2030, 2746, 330, 693, 28324, 1, 25531, 312, 28064, 12643, 13, 619, 15326, 468, 766, 19786, 59444, 71, 2956, 56832, 304, 78233, 5999, 25531, 9820, 23334, 423, 55632, 2185, 6538, 82816, 14047, 89005, 13, 19000, 5999, 31357, 59330, 2185, 51290, 8896, 26956, 68, 285, 2257, 5451, 4149, 42598, 1579, 6395, 11460, 13, 19000, 8896, 13279, 6975, 56075, 534, 13, 95817, 6395, 36744, 61150, 26170, 17454, 9089, 25531, 458, 17058, 20226, 9151, 65754, 13906, 62401, 13, 468, 10453, 6538, 422, 32997, 19875, 8896, 6616, 87541, 3092, 268, 2714, 89, 83049, 19104, 63318, 44275, 2746, 84132, 6538, 1298, 89, 1950, 71, 84251, 11595, 10712, 89452, 2185, 510, 641, 704, 78733, 289, 96049, 9740, 71, 84251, 11595, 304, 18859, 268, 51239, 65, 17366, 2305, 4370, 12385, 9421, 17058, 730, 2855, 2554, 9421, 5046, 268, 13017, 125245, 4370, 2030, 462, 37137, 928, 268, 9740, 71, 84251, 11595, 304, 2694, 62467, 773, 59380, 66287, 66685, 11, 52507 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 9911, 2746, 21506, 268, 2030, 47332, 1536, 268, 468, 766, 19786, 724, 901, 89097, 94505, 72101, 83, 11, 572, 38805, 732, 17632, 811, 2694, 28275, 83301, 5342, 7272, 2185, 2030, 2694, 59214, 36370, 2185, 2694, 95506, 2694, 42786, 304, 21506, 268, 468, 766, 19786, 724, 901, 89097, 68573, 38325, 198, 22171, 773, 59380, 66287, 331, 88999, 58534, 1850, 97310, 9421, 17058, 730, 2855, 2554, 6538, 38650, 70, 783, 12, 2030, 78233, 87227, 11595, 13, 78233, 49311, 434, 1358, 11595, 90556, 10928, 65733, 11, 52507, 458, 930, 15795, 2694, 14785, 4368, 376, 1442, 11, 14948, 42759, 6739, 468, 766, 19786, 724, 901, 89097, 8793, 54459, 15462, 758, 1489, 804, 11855, 3408, 713, 2714, 64177, 1960, 13, 320, 32617, 12583, 38897, 74539, 1960, 328, 39563, 13, 2362, 29608, 477, 351, 66518, 3818, 2714, 6538, 220, 20, 11, 1079, 52747, 220, 16, 15, 4, 444, 2267, 1194, 71, 2956, 56832, 2030, 2429, 29505, 86873, 6130, 6538, 3386, 4979, 385, 24134, 28175, 22171, 74227, 7256, 91442, 3371, 10638, 17324, 54749, 18849, 5999, 2694, 36077, 25620, 6181, 1952, 75840, 444, 12070, 13, 79192, 220, 17, 15, 16, 19, 2746, 32175, 65, 6772, 52193, 336, 28658, 92172, 20445, 467, 8535, 74, 811, 13920, 13279, 75840, 444, 12070, 13, 8408, 822, 7997, 47332, 1536, 896, 457, 17790, 1308, 4979, 724, 220, 17, 8394, 37801, 129894, 5178, 13279, 444, 12070, 13, 33328, 31275, 94133, 8896, 9911, 9089, 52434, 28883, 730, 1003, 1579, 5451, 17443, 92191, 22162, 318, 14726, 13977, 21506, 35505, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 17, 17, 25, 16, 19, 198, 40369, 27726, 44367, 6250, 2024, 2956, 67, 2185, 4886, 16776, 6538, 2162, 13, 220, 19, 15, 45506, 305, 2210, 355, 37285, 269, 30353, 13, 16354, 1127, 4116, 6616, 17790, 35323, 50837, 25, 350, 26378, 10938, 377, 301, 7219, 2030, 15244, 40870, 11, 21207, 343, 0, 34903, 17630, 1531, 11316, 26933, 332, 4894, 39120, 7997, 883, 9089, 6538, 2048, 7522, 5883, 9420, 1510, 69, 1419, 268, 55813, 38897, 289, 529, 12536, 273, 28831, 357, 2636, 2892, 2030, 6616, 73580, 404, 77, 7746, 24321, 16074, 12, 4640, 1331, 331, 44704, 12, 586, 29428, 93936, 65845, 494, 56354, 74, 473, 268, 47008, 7646, 5267, 18175, 5883, 6691, 25651, 17630, 6538, 52716, 305, 26440, 330, 47, 8759, 46836, 5251, 68, 380, 932, 1, 3371, 25714, 52015, 6975, 14047, 87862, 57562, 13368, 62711, 2660, 53555, 5016, 21785, 5744, 330, 25655, 2714, 13536, 12032, 497, 8793, 6395, 6051, 16030, 624, 13394, 11, 4116, 372, 11460, 9089, 6616, 41983, 25531, 17790, 458, 5267, 1654, 321, 41983, 81212, 330, 5580, 4368, 6032, 7997, 7522, 25987, 65423, 42137, 11937, 8793, 773, 5699, 4659, 76, 1, 2030, 141152, 21673, 730, 2305, 325, 624, 6033, 268, 4937, 12304, 1674, 74, 2267, 337, 24803, 11, 18482, 73612, 11, 730, 37780, 301, 550, 17454, 11, 29733, 12009, 3122, 550, 11, 30919, 92692, 2030, 31100, 84251, 23446, 43999, 8793, 10928, 773, 12385, 141153, 93328, 5267, 32, 1387, 25987, 65423, 5999, 4368, 450, 332, 343, 9820, 15132, 83, 4894, 87876, 3680, 47461, 16597, 6538, 4368, 6433, 3128, 13518, 5999, 308, 44226, 343, 4443, 9089, 26769, 15132, 83, 668, 72101, 365, 84251, 12495, 624, 65214, 56530, 4258, 1960, 49536, 11, 13368, 13279, 2694, 4863, 86, 2956, 24134, 2185, 55928, 15132, 83, 4863, 89, 13299, 388, 63859, 11595, 7219, 13, 43997, 883, 26769, 13785, 19154, 295, 11, 5999, 883, 9101, 610, 85725, 4368, 330, 8813, 8801, 23276, 331, 22956, 80515, 25987, 325, 4997, 32030, 48985, 19154, 2185, 5999, 9820, 2694, 65733, 15795, 647, 6215, 355, 746, 89, 11595, 7180, 6616, 24929, 5451, 2694, 28831, 26252, 4368, 746, 89, 10938, 30872, 665, 3078, 263, 635, 9774, 2712, 2030, 8536, 17454, 4894, 26034, 2770, 43506, 83, 35783, 11, 4116, 372, 2746, 9089, 773, 25494, 458, 66423, 99011, 11, 2746, 5016, 5645, 13279, 2694, 794, 844, 11, 8151, 713, 13906, 2694, 8280, 354, 2986, 6395, 95723, 5267, 1654, 321, 6616, 34749, 49765, 665, 90817, 5999, 2746, 5016, 5645, 304, 71017, 1505, 16315, 17632, 811, 6395, 37228, 258, 1489, 42961, 624, 35, 2667, 11, 22075, 25531, 18520, 34749, 8280, 354, 2986, 304, 3371, 11840, 1107, 130187, 654, 7219, 3371, 78445, 79956, 75858, 282, 21176, 2030, 40870, 1077, 11687, 408, 6772, 48803, 362, 300, 18520, 52716, 53672, 941, 87, 93644, 45258, 14821, 320, 64, 1387, 8793, 13785, 3371, 25714, 71, 61673, 376, 865, 330, 76745, 7997, 3959, 497, 330, 70684, 78335, 497, 730, 6283, 285, 4992, 24389, 12643, 9911, 19767, 2746, 8280, 354, 5679, 4081, 11855, 78, 1640, 1967, 485, 3893, 333, 932, 13368, 9911, 1531, 47143, 13279, 52716, 28831, 11595, 11460, 11, 51939, 25531, 83801, 75182, 304, 30781, 17739, 34749, 73580, 404, 61227, 54840, 8528, 331, 76, 1268, 2024, 14033, 465, 4894, 32617, 25987, 65423, 5999, 24440, 49765, 2338, 10882, 2787, 26331, 268, 12, 10141, 277, 24048, 2185, 15940, 19474, 13, 43997, 6616, 10928, 17790, 9421, 135475, 11, 20048, 9911, 4368, 4748, 268, 4894, 35, 4288, 278, 65, 10928, 2746, 29857, 57, 9299, 306, 6576, 89, 11, 51939, 41983, 5016, 5645, 73689, 9089, 510, 59967, 2667, 10638, 67952, 28086, 1147, 58193, 11834, 7997, 11, 24929, 686, 10638, 10928, 39771, 74565, 17630, 1, 4894, 80515, 468, 6308, 82017, 5999, 93434, 69, 1127, 331, 11, 51939, 11, 22075, 883, 24440, 9443, 5178, 11, 24929, 2739, 742, 529, 883, 8793, 12222, 3371, 8793, 650, 261, 383, 65, 21673, 29857, 57, 11171, 70552, 16892, 295, 4101, 51290, 10928, 17790, 289, 529, 12536, 273, 28831, 2030, 3371, 6250, 2685, 1365, 2030, 59739, 13920, 343, 14821, 883, 10928, 17790, 11, 17066, 883, 1531, 8793, 47143, 5999, 624, 35, 4288, 278, 65, 4270, 1263, 25, 33781, 269, 16030, 11, 143437, 25357, 16030, 11, 13368, 97914, 1225, 473, 68, 7219, 2694, 26647, 23455, 11, 2030, 15462, 425, 11706, 23196, 1923, 372, 37896, 4894, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 17, 16, 25, 20, 23, 198, 47789, 739, 5999, 8652, 3739, 1127, 28086, 13279, 42250, 77, 663, 18045, 13637, 8703, 258, 7219, 709, 13464, 268, 13, 25861, 1422, 424, 23273, 12222, 11, 4116, 372, 773, 1967, 1070, 6616, 9089, 3196, 359, 30, 25861, 512, 325, 2694, 29413, 63620, 140918, 939, 730, 4775, 6250, 75, 1134, 2030, 28511, 2886, 12222, 17790, 11, 7180, 13368, 294, 25964, 16111, 92191, 68336, 2863, 723 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 12643, 13, 9236, 5999, 17859, 11, 14948, 1531, 41983, 42786, 27298, 11, 2746, 467, 15113, 89249, 11, 2746, 34699, 3371, 3264, 530, 268, 4697, 4027, 10246, 4370, 18607, 265, 14668, 13, 2157, 16676, 70407, 458, 42250, 5016, 92583, 2030, 2429, 88028, 2739, 47365, 7964, 42250, 77, 547, 11008, 74, 50011, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 17, 16, 25, 19, 23, 198, 43337, 269, 16030, 1365, 22080, 331, 59493, 1365, 5883, 609, 431, 1241, 69, 3122, 1389, 2305, 665, 3647, 331, 71378, 52163, 1531, 27298, 4368, 55397, 28883, 1365, 55813, 52173, 340, 47, 1915, 9744, 416, 75018, 198, 26034, 6055, 83, 24440, 51939, 10928, 17790, 50435, 29136, 3605, 7522, 81828, 5679, 58285, 654, 74, 559, 268, 13, 22080, 331, 71378, 67382, 13, 794, 32863, 65295, 40157, 13906, 345, 641, 220, 19, 69713, 97096, 24440, 12304, 50435, 730, 559, 268, 7219, 2746, 26647, 23455, 11, 12304, 53383, 17312, 29003, 28324, 28831, 13, 27914, 723, 13279, 2694, 63630, 654, 370, 32621, 4079, 458, 345, 26493, 81146, 40662, 668, 8452, 268, 13, 12812, 572, 2770, 43506, 83, 24440, 572, 6616, 4368, 140748, 14821, 13, 23887, 2863, 11, 2030, 15462, 1422, 84251, 21673, 30393, 7997, 6433, 4772, 11, 458, 36744, 12353, 13, 19000, 14821, 9820, 38574, 273, 326, 610, 4443, 2714, 13, 393, 808, 13, 36574, 10638, 67278, 11, 24440, 489, 2717, 65295, 8793, 50667, 50667, 17085, 198, 30124, 133406, 28831, 50667, 198, 47, 70120, 75018, 510, 83953, 2429, 8354, 14821, 65295, 4368, 51663, 72734, 624, 2428, 1110, 2136, 20145, 905, 26213, 22995, 92009, 20, 70, 16, 934, 79, 2519, 42, 48, 198, 623, 318, 2501, 42250, 5016, 92583, 624, 36210, 82, 30261, 4241, 1940, 12583, 12222, 2694, 330, 21062, 133406, 53672, 258, 2694, 38868, 17405, 268, 1, 2030, 1197, 471, 33748, 25531, 18520, 6395, 43105, 12, 9499, 446, 1862, 1528, 33947, 7823, 380, 724, 4081, 2391, 5178, 48614, 28086, 2746, 47355, 88487, 70984, 77868, 51078, 45258, 496, 1241, 883, 582, 1038, 23738, 330, 1107, 41316, 325, 1, 51721, 4260, 28421, 22589, 2067, 610, 220, 20, 80624, 15719, 883, 3371, 20004, 19095, 453, 69, 1353, 91639, 624, 35, 13, 479, 596, 261, 8896, 9089, 60637, 17859, 25620, 54708, 13, 25861, 3893, 383, 74565, 9421, 11, 6616, 2714, 289, 355, 5342, 1154, 6616, 883, 40662, 7219, 3371, 330, 30124, 273, 32619, 267, 95174, 1, 97696, 58881, 13, 25861, 15719, 1850, 14033, 6433, 11, 6616, 1531, 46668, 18976, 3445, 15843, 263, 54749, 27298, 0, 472, 8229, 8641, 732, 6841, 20743, 61286, 713, 14047, 17058, 11000, 2185, 4368, 37801, 433, 21649, 422, 39229, 2694, 320, 7823, 380, 1471, 1199, 7522, 8, 26843, 27993, 67726, 3893, 56027, 33947, 1658, 686, 11937, 308, 941, 2429, 1863, 1704, 541, 13785, 70489, 2371, 6712, 5267, 18175, 330, 47583, 17405, 5342, 321, 88487, 330, 12643, 75590, 330, 70, 332, 1, 9421, 4188, 32030, 11, 4443, 2429, 34734, 306, 21673, 89931, 70, 559, 5451, 72943, 396, 268, 16447, 2305, 25061, 21207, 343, 6395, 37896, 624, 18175, 11000, 2185, 34699, 54392, 31465, 1515, 3739, 1127, 44426, 11937, 3893, 96695, 624, 39726, 27313, 78581, 68, 425, 7714, 73276, 665, 458, 2048, 7522, 26692, 500, 10291, 12643, 24929, 5451, 30632, 261, 5883, 6691, 1704, 1174, 91647, 26612, 2030, 5883, 7276, 9484, 7671, 59378, 56539, 42603, 1656, 2267, 406, 33947, 59967, 2667, 4111, 3696, 13160, 7219, 3264, 3591, 71, 21211, 1, 51873, 5241, 86, 46686, 40157, 4368, 1494, 1659, 24016, 301, 7180, 9820, 38383, 444, 12070, 12, 7812, 12385, 5267, 1, 77939, 4841, 12, 5580, 1737, 59226, 19104, 8793, 29209, 380, 11937, 34542, 21545, 7256, 12042, 37137, 258, 8, 89478, 41, 19042, 11, 10638, 582, 1038, 11, 6616, 5999, 37699, 19104, 8793, 330, 1654, 713, 2030, 27643, 1, 1940, 4316, 496, 704, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 17, 15, 25, 15, 18, 198, 67395, 332, 9820, 75687, 10938, 37427, 325, 13, 70407, 59378, 23348, 624, 40369, 9057, 275, 2986, 41488, 220, 16, 15, 45506, 48803, 25987, 325, 71, 12, 2030, 48803, 34869, 55440, 14033, 18520, 624, 12061, 48101, 5699, 265, 20319, 25, 330, 26034, 13279, 6975, 304, 44979, 1494, 17029, 11, 5999, 9820, 9805, 440, 73580, 404, 61227, 54840, 1528, 10040, 4416, 5999, 1531, 13, 54068, 73580, 404, 61227, 54840, 1528, 2148, 1020, 220, 16, 24, 19, 20, 5451, 2694, 6454, 385, 12, 15232, 22222, 17739, 547, 1174, 74991, 11, 71713, 9855, 56539, 343, 143037, 19767, 2746, 9270, 82901, 465, 5016, 1111, 11, 472, 669, 34080, 11, 2410, 11121, 11, 18880, 810, 11, 28876, 4195, 300, 2030, 3539, 13, 1154, 2030, 26769, 15854, 266, 4258, 20319, 14840, 48614, 25531, 38383, 2502, 2391, 1960, 939, 91452, 71, 50990, 7219, 35951, 57671, 304, 66482, 52990, 268, 2030, 15545, 64321, 1960, 624, 48047, 12643, 26769, 13532, 4000, 2674, 351, 9817, 11845, 746, 5679, 11, 16111, 12643, 9911, 4087, 343, 932, 11, 14840, 12788, 20096, 18520, 4368, 342, 2095, 93504, 6538, 3371, 1581, 60135, 458, 37060, 14821, 11, 14840, 35951, 76178, 267, 51817, 19349, 14821, 11, 572, 9911, 17790, 304, 38684, 140275, 77, 458, 5718, 1307, 587, 3591, 29695, 370, 83, 17630, 11, 2030, 9911, 84193, 773, 10651, 63859, 8199, 17239, 13518, 19349, 12643, 11, 94567, 9911, 8793, 18520, 75130, 11, 572, 9911, 11460, 624, 1514, 723, 263, 7313, 1174, 11, 37330, 32708, 35975, 2674, 351, 437, 380, 220, 16, 24, 19, 20, 6395, 2429, 92191, 647, 49802, 7052, 47631, 1536, 8459, 13, 84792, 198, 1658, 331, 17058, 75020, 406, 19767, 2835, 1579, 11, 883, 331, 17058, 19767, 11615, 268, 2030, 883, 9034, 19767, 98171, 9275, 9740, 273, 7964, 13, 96520, 20603, 482, 21410, 268, 2030, 24807, 2157, 12059, 26769, 3406, 80561, 81, 22157, 13303, 77399, 11, 8486, 5472, 450, 10638, 17588, 5186, 21673, 468, 17659, 13906, 50435, 91718, 590, 76213, 13, 54068, 42786, 52434, 83572, 35323, 48803, 86591, 71, 5676, 11, 1531, 66093, 11316, 4443, 434, 585, 1960, 11, 13818, 68, 12385, 2746, 328, 1777, 11, 1531, 4116, 95139, 5342, 3911, 351, 9817, 13, 9774, 18482, 1854, 331, 8155, 7997, 6538, 54392, 60238, 42668, 10638, 12222, 732, 8031, 342, 81184, 11, 80072, 268, 2030, 4229, 446, 1862, 1528, 1675, 60273, 10638, 96976, 267, 8793, 18520, 11, 13368, 52287, 30, 25861, 67278, 8793, 11, 54505, 2746, 69791, 34368, 4370, 276, 42469, 7219, 455, 64 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 32030, 12583, 11, 19104, 220, 16, 20, 48015, 5999, 1531, 1059, 13, 42250, 5016, 92583, 11, 8495, 41852, 60322, 6616, 35951, 25494, 74764, 11, 17630, 87717, 14604, 529, 11, 19104, 10638, 67278, 96976, 267, 11, 94567, 26769, 91718, 590, 76213, 15462, 2614, 1609, 17739, 472, 2245, 59785, 17630, 13, 9236, 357, 766, 83, 14047, 4031, 7272, 3911, 351, 9817, 11, 2030, 6616, 28086, 52287, 13, 43997, 10638, 2746, 28086, 12304, 511, 383, 11, 11834, 7997, 10638, 1197, 86, 7294, 15462, 468, 3134, 305, 17205, 12385, 4443, 21062, 59493, 13, 6771, 89, 465, 288, 5999, 14410, 2391, 900, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 24, 25, 18, 20, 198, 22171, 4229, 383, 6383, 276, 93539, 295, 25, 730, 14435, 6535, 29261, 9420, 25964, 2185, 2694, 386, 13256, 198, 36, 343, 44275, 5999, 1531, 38805, 35323, 25, 4863, 13536, 426, 3371, 472, 2863, 12754, 441, 2061, 3591, 468, 552, 468, 63274, 11, 294, 13, 305, 13, 5699, 2717, 50435, 330, 35, 24638, 1, 8793, 18520, 458, 2030, 595, 2863, 723, 2746, 28831, 11595, 8793, 11, 24929, 76133, 267, 9089, 87862, 386, 15938, 13785, 6975, 6538, 38805, 12304, 482, 7219, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 24, 25, 15, 16, 198, 16193, 11, 10638, 2770, 64, 3760, 2429, 5999, 83880, 59765, 18520, 305, 40522, 5197, 1704, 82040, 13, 9236, 5999, 1007, 724, 4865, 6772, 11, 14948, 2746, 3264, 3591, 4368, 47355, 939, 3644, 268, 9680, 288, 12583, 11, 2746, 23276, 331, 22385, 1849, 81591, 6395, 2739, 2024, 2956, 5183, 11, 74021, 3371, 76716, 524, 17312, 30872, 1960, 2030, 289, 21176, 8085, 6395, 18607, 45258, 13, 4657, 594, 85725, 8688, 1626, 380, 343, 17837, 27918, 14821, 11, 70251, 396, 40157, 93395, 8343, 6772, 13, 9236, 27298, 62702, 2030, 55813, 38219, 11000, 11595, 732, 650, 138644, 6433, 5883, 13, 70407, 74021, 50041, 13, 12741, 13206, 1574, 739, 896, 90830, 5999, 28086, 96976, 267, 304, 4400, 3433, 479, 844, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 23, 25, 20, 18, 198, 54, 324, 450, 6616, 61150, 9421, 2429, 472, 9416, 72043, 1059, 84, 300, 709, 127356, 11687, 30, 77211, 23273, 7364, 8793, 18520, 2714, 6130, 932, 11, 14948, 31008, 52990, 28122, 10393, 348, 669, 309, 624, 38025, 440, 42250, 5016, 13129, 13, 33328, 4368, 15681, 277, 45506, 4116, 10638, 10712, 1863, 51078, 27097, 13279, 17058, 18976, 3445, 198, 318, 18803, 7276, 50, 13, 2030, 27726, 26769, 93898, 5016, 372, 2660, 62785, 31915, 261, 5840, 13, 20004, 36744, 47227, 511, 383, 198, 713, 8652, 50435, 10882, 2787, 65, 17366, 768, 8793, 18520, 458, 624, 30416, 10638, 28086, 52287, 48803, 5883, 18520, 5699, 64, 361, 11, 27726, 10638, 6538, 2694, 18976, 6222, 60197, 34368, 13785, 11563, 24619, 479, 596, 261, 4566, 6271, 95402, 13, 25861, 27726, 8652, 6616, 21864, 20005, 12307, 5840, 585, 301, 14047, 140463, 28494, 458, 45061, 2717, 2030, 282, 437, 11, 14948, 422, 13, 479, 596, 261, 9089, 650, 4160, 3371, 3893, 42316, 268, 647, 6215, 355, 746, 89, 11595, 1411, 25998, 32454, 25620, 54708, 8896, 13, 619, 7294, 11, 2694, 8793, 5451, 3371, 2755, 37121, 1960, 663, 16335, 2739, 2172, 332, 4116, 11, 19104, 17790, 8793, 342, 15141, 89, 6772, 5883, 1455, 295, 2305, 392, 83, 5999, 11, 15719, 5451, 1967, 34966, 26612, 83380, 3903, 268, 11, 14948, 2694, 330, 68623, 850, 1, 4368, 2739, 839, 798, 11, 84187, 13920, 13906, 61286, 275, 1404, 11, 22327, 77, 28122, 69215, 5883, 15843, 32261, 289, 15113, 11, 2694, 479, 596, 261, 282, 610, 6772, 139906, 59765, 1197, 709, 4370, 89, 18187, 5679, 42668, 11, 11937, 6538, 479, 596, 261, 282, 610, 6772, 14211, 7997, 6969, 32863, 26109, 624, 18175, 4697, 4027, 8125, 91639, 2061, 3591, 2148, 265, 55339, 8099, 63859, 408, 25531, 17790, 8793, 11, 94567, 9911, 9089, 34749, 479, 4260, 392, 86, 5186, 44861, 26612, 56354, 42789, 76178, 267, 88287, 624, 40369, 15719, 12222, 53165, 264, 1362, 539, 932, 11, 12412, 23388, 6603, 16597, 6395, 85239, 25, 5883, 9421, 70489, 11, 3680, 436, 595, 34271, 6433, 13, 56231, 22075, 2694, 3911, 351, 55433, 331, 1241, 8793, 18520, 25620, 2717, 2030, 3893, 56027, 14821, 2030, 9089, 87878, 6712, 5016, 1174, 5679, 4368, 58158, 11, 14821, 9089, 6616, 12709, 93016, 624, 19957, 13368, 479, 661, 6108, 30632, 89005, 85389, 25, 883, 14821, 72734, 261, 11, 17837, 395, 798, 2030, 3457, 1268, 624, 91992, 40662, 17790, 8793, 49232, 406, 11, 42137, 431, 1743, 11331, 355, 30102, 8486, 824, 70667, 13, 330, 28684, 372, 5699, 896, 6433, 2746, 444, 66897, 1174, 1, 5999, 17058, 2694, 52747, 647, 371, 81, 70668, 320, 91667, 8, 6395, 36744, 61150, 11, 3371, 10638, 4759, 93096, 27726, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 23, 25, 15, 22, 198, 52445, 11, 10246, 652, 1260, 23630, 11, 3845, 33043, 2746, 328, 1777, 65681, 21488, 17029, 13, 14804, 13279, 6975, 304, 44979, 1494, 17029, 11, 5999, 9820, 9805, 440, 73580, 404, 61227, 54840, 1528, 13, 19929, 1021, 27726, 10638, 8652, 4368, 8354, 6538, 6798, 358, 60273, 6454, 81184, 330, 1782, 14285, 525, 15316, 304, 497, 304, 12442, 2407, 2714, 7219, 2746, 98175, 2636, 76, 10938, 13897, 6576, 811, 72, 2030, 60911, 2914, 304, 44979, 51721, 896, 380, 13, 20004, 46014, 2154, 43226, 4116, 2746, 2714, 811, 1070, 22080, 424, 36108, 44771, 304, 19846, 7180, 9820, 133661, 423, 61194, 61806, 5451, 58442, 9421, 17837, 11706, 268, 2825, 34271, 268, 13, 25861, 27726, 47143, 18520, 485, 53936, 140918, 3893, 56027, 11, 4116, 1079, 1527, 42477, 39771, 56946, 1826, 19285, 83281, 53936, 330, 3435, 16081, 1, 595, 2718, 19875, 50244, 8535, 11, 35141, 19104, 47332, 1536, 896, 457, 4368, 125245, 27899, 11, 14948, 2694, 29860, 1032, 13920, 8896, 13, 34903, 47827, 12304, 7219, 86, 45699, 2030, 44367, 4818, 78836, 485, 72, 387, 19875, 624, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 22, 25, 19, 24, 198, 43, 61673, 10712, 220, 20, 80624, 27726, 10638, 17790, 31357, 18976, 3445, 65078, 35505, 1365, 2030, 10928, 3371, 24209, 1387, 53797, 27726, 10638, 53129, 220, 20, 8641, 304, 88787, 55397, 69876, 13, 60082, 65078, 649, 2305, 5178, 12583, 2746, 60911, 2914, 267, 19875, 5679, 2694, 43427, 266, 23647, 13, 14235, 10638 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8652, 19104, 1365, 25531, 17790, 1365, 3893, 1937, 44275, 16807, 330, 5668, 433, 331, 45258, 1, 458, 325, 383, 320, 1515, 331, 14649, 686, 10638, 26269, 75130, 11, 304, 58319, 57123, 2185, 2746, 422, 24638, 10068, 72, 26252, 8641, 39264, 701, 27726, 10638, 2746, 90817, 6616, 5016, 11855, 44236, 6538, 88072, 6395, 1673, 16030, 13, 14235, 15719, 883, 9820, 386, 6309, 326, 49072, 13, 479, 596, 261, 8896, 83835, 3371, 330, 37, 57596, 1, 69876, 11, 8793, 18520, 87024, 89, 810, 12032, 320, 6023, 71, 3808, 568, 3874, 49662, 15719, 10638, 42250, 77, 5016, 81, 64487, 73086, 12222, 1850, 14033, 6433, 13, 4657, 1126, 17958, 99025, 2746, 55857, 15113, 98421, 11, 14948, 10638, 4759, 7128, 83, 58881, 11, 27726, 10638, 8652, 13785, 71168, 11, 13368, 10638, 23273, 2739, 6023, 301, 665, 11, 22075, 883, 23273, 304, 31008, 1205, 1064, 4845, 81, 25423, 665, 13, 25861, 58881, 1147, 1785, 13, 28086, 13906, 1923, 18859, 48414, 11, 14948, 10638, 2746, 11000, 2185, 2739, 75, 13256, 11, 17066, 883, 23273, 294, 27097, 303, 21506, 1323, 4865, 11, 12385, 66983, 2694, 11000, 2185, 73689, 11, 14948, 5627, 64215, 2545, 13, 1365, 12741, 74227, 7256, 11, 3371, 10638, 595, 25136, 11, 2694, 5451, 2048, 7522, 11832, 4002, 268, 17859, 1147, 552, 331, 6242, 309, 11, 4116, 19685, 47435, 645, 1967, 13294, 13, 36574, 2694, 42668, 2746, 595, 75024, 20005, 138971, 11759, 89, 11, 9820, 4400, 273, 70772, 2660, 2030, 36077, 4229, 74360, 709, 4370, 35608, 2030, 37337, 2712, 406, 25151, 11, 572, 1531, 58442, 97035, 37633, 68, 11, 35323, 30632, 89, 3073, 268, 2030, 68876, 6616, 6395, 73689, 11, 572, 2714, 387, 3435, 34966, 665, 624, 18654, 10638, 5699, 64, 361, 8652, 26769, 274, 45699, 10928, 8793, 18520, 458, 624, 43139, 14410, 62713, 42137, 53797, 40157, 17790, 88748, 11, 76171, 58319, 1217, 36616, 458, 2694, 52549, 5999, 11, 9911, 14821, 6616, 304, 3371, 348, 1358, 59785, 68102, 572, 9911, 7180, 65681, 2030, 41245, 798, 35505, 305, 41203, 13, 10638, 44390, 40870, 11, 883, 15719, 2429, 1849, 8793, 54459, 650, 2721, 74919, 98171, 325, 19349, 26769, 294, 17707, 6395, 11460, 11, 51939, 12304, 32936, 1849, 68, 11, 2030, 511, 3591, 9911, 17790, 773, 25494, 330, 59568, 1, 43243, 5183, 1531, 68876, 773, 11460, 11, 2994, 20112, 44977, 16111, 6975, 40157, 59765, 13906, 6395, 37896, 13, 15269, 372, 11, 13368, 14410, 62713, 11, 10246, 652, 16942, 1046, 8641, 3647, 331, 59493, 2030, 9089, 58459, 1194, 268, 294, 27918, 305, 287, 3065, 268, 55937, 198, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 22, 25, 19, 17, 198, 35, 402, 263, 15719, 10638, 4368, 444, 1122, 7780, 268, 753, 1365, 198, 40369, 26109, 304, 3371, 3264, 3591, 11, 75243, 71126, 23273, 2694, 29413, 2755, 37121, 303, 268, 48686, 51960, 1960, 1154, 8847, 198, 2061, 13, 68226, 79842, 25587, 44, 4321, 1154, 3825, 1808, 11594, 3021, 198, 7687, 13, 1774, 13, 362, 13, 472, 1715, 38, 4321, 11, 422, 52491, 50, 925, 12335, 868, 37, 198, 5012, 56, 2149, 40, 19157, 12, 57122, 12457, 13639, 2843, 687, 640, 12, 7856, 52, 1285, 7243, 36, 1365, 393, 5609, 74, 51, 1637, 2149, 640, 33879, 57, 51, 345, 4284, 13, 1154, 14047, 73869, 20005, 14930, 57647, 28865, 11, 304, 4368, 6433, 5883, 3264, 3591, 5519, 1365, 5451, 16631, 7219, 38130, 5676, 17837, 21140, 5457, 6670, 96373, 753, 1365, 198, 32617, 36376, 306, 20005, 458, 50244, 8535, 11, 3091, 5342, 293, 2367, 275, 17917, 12643, 58062, 1806, 799, 261, 9421, 72313, 21673, 21766, 55632, 11595, 66809, 13, 65314, 261, 69, 74374, 1154, 48985, 9820, 14322, 590, 71620, 7070, 33052, 261, 2185, 1365, 15552, 12, 5016, 30875, 42603, 198, 26493, 10638, 7219, 59785, 6538, 23334, 86, 3818, 33186, 1960, 608, 27169, 485, 622, 1038, 220, 16, 24, 24, 16, 2714, 75, 22449, 27726, 345, 86, 324, 450, 24929, 10928, 136249, 17790, 9421, 799, 27431, 60098, 652, 48015, 51721, 28129, 304, 1365, 5451, 17239, 4865, 21673, 6250, 89, 2956, 1389, 2185, 267, 9913, 36433, 1298, 89, 38809, 1598, 465, 4188, 2493, 3818, 753, 1365, 198, 7823, 482, 1032, 13920, 778, 331, 32997, 3004, 28064, 2185, 88628, 665, 6616, 51239, 458, 2746, 6250, 1723, 11007, 15012, 1704, 59785, 939, 53672, 258, 324, 665, 8669, 496, 18175, 69590, 94213, 88185, 1365, 28275, 73869, 458, 5016, 329, 79956, 68, 51317, 19000, 31145, 16053, 458, 5016, 329, 79956, 68, 5999, 5016, 36568, 1154, 77, 4865, 2694, 14410, 309, 665, 47708, 86, 35010, 1952, 92716, 13, 9415, 5267, 40369, 27726, 44390, 98344, 2739, 70489, 47827, 2030, 55248, 97973, 2746, 422, 66522, 9779, 300, 267, 2185, 6538, 14410, 1241, 22385, 21673, 198, 6406, 64, 295, 8400, 4370, 753, 1365, 198, 22171, 467, 11042, 11, 2746, 3264, 3591, 22327, 12495, 11, 14948, 2746, 136458, 25531, 83801, 7219, 2746, 19868, 1528, 15244, 13464, 268, 13, 9774, 76018, 12583, 9911, 26933, 275, 6616, 42514, 30632, 7180, 294, 25964, 6395, 2739, 4554, 28421, 13, 8495, 305, 1847, 268, 74054, 11, 14948, 2746, 5016, 5645, 17790, 71417, 67558, 13, 35780, 3371, 21683, 24803, 11563, 24619, 479, 596, 261, 49232, 406, 2030, 2746, 18976, 3445, 2739, 8400, 5178, 8896, 31247, 461, 529, 2746, 28223, 645, 2694, 4697, 4027, 5251, 291, 3591, 25494, 58052, 13, 48988, 7865, 1580, 408, 12583, 24131, 331, 83090, 2746, 4697, 4027, 5251, 4316, 266, 23647, 2030, 34749, 330, 20366, 14047, 2694, 60074, 2863, 2986, 136088, 12, 6033, 1194, 3263, 54068, 11000, 11595, 1187, 28421, 14047, 2429, 2340, 258, 9964, 136740, 34699, 88748, 13, 19000, 2746, 330, 30124, 273, 318, 2593, 261, 266, 23647, 2030, 304, 2746, 320, 16123, 9544, 10638, 7180, 4368, 479, 27951, 8, 42, 3436, 12010, 24370, 1, 1531, 22163, 70, 50095, 41210, 34542, 8793, 4704, 2712, 8896, 5451, 54649, 3680, 71, 25423, 50499, 21982, 739, 6395, 11460, 13, 8495, 12583, 1079, 57782, 939, 14917, 773, 39353, 17029, 6616, 1531, 74021, 76171, 13368, 9911, 134776, 49536, 3647, 331, 811, 12487, 2030, 9911, 43243, 5183, 10928, 11316, 304, 65559, 62459, 11, 2048, 844, 9911, 7180, 34749, 6928, 34749, 5451, 5016, 6984, 89, 56946, 93876, 665, 479, 424, 74675, 13, 1863, 359, 2636, 76, 408, 3647, 1528, 360, 713, 2030, 84187, 318, 1371, 81760, 295, 26769, 36280, 11, 19104, 31357, 328, 6670, 11, 2746, 136458, 595, 461, 19981, 1531, 5451, 13, 25861, 9544 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10928, 74565, 13785, 37400, 83, 11, 14948, 42250, 479, 596, 261, 2746, 93395, 650, 96135, 6712, 3406, 1862, 331, 2024, 2956, 9588, 6222, 408, 11595, 978, 2305, 1944, 724, 37699, 10928, 19767, 21062, 2717, 8896, 13, 9857, 82753, 58881, 73689, 2974, 641, 9919, 14668, 3644, 268, 13017, 81, 13299, 69499, 1531, 10712, 13791, 46686, 62467, 11, 22075, 883, 2746, 467, 15113, 22385, 75018, 1189, 75291, 261, 1477, 10638, 1531, 17859, 11, 6616, 479, 596, 261, 9089, 36744, 5016, 1940, 14101, 28421, 12743, 32863, 8896, 624, 5012, 25, 25861, 58881, 26769, 96382, 45423, 268, 8793, 6909, 43427, 266, 23647, 308, 40193, 13, 9236, 51528, 274, 23733, 275, 11, 14948, 9911, 2770, 43506, 268, 11, 9911, 511, 3591, 51637, 396, 624, 5183, 34098, 5699, 64, 361, 10638, 8652, 8793, 18520, 458, 11, 304, 6271, 512, 325, 10638, 2746, 67489, 546, 2030, 595, 1003, 13229, 485, 12962, 36947, 343, 5451, 671, 2746, 11000, 2185, 13, 19000, 312, 4865, 56354, 42789, 9421, 13, 8408, 34037, 49, 54610, 12583, 5651, 84, 7180, 23273, 13, 28831, 3004, 331, 66671, 4894, 21, 13, 135777, 220, 17, 15, 16, 22, 518, 220, 16, 22, 25, 17, 16, 198, 21367, 2861, 5999, 11, 9089, 50435, 63630, 654, 139906, 8793, 77868, 810, 12032, 11, 51939, 2746, 348, 6670, 72313, 1960, 142127, 3563, 4993, 548, 2305, 4370, 1863, 12540, 9416, 261, 2030, 1863, 51078, 27097, 7219, 6616, 30512, 9779, 5342, 13, 2363, 35276, 265, 2085, 5006, 81591, 3660, 19972, 13, 19000, 5999, 34906, 7132, 304, 1032, 766, 76431, 4894, 16, 24, 24, 24, 2030, 220, 17, 15, 15, 15, 4116, 10638, 17837, 329, 798, 62642, 304, 17058, 18976, 12, 7812, 13, 65132, 336, 62642, 2498, 12385, 822, 7997, 304, 17443, 80378, 5004, 50037, 372, 13906, 2694, 11000, 2185, 4368, 330, 6033, 28815, 324, 1, 17312, 47404, 11, 4443, 34699, 2746, 38684, 136088, 7219, 89, 12540, 295, 5679, 13, 77356, 4116, 11, 9820, 38158, 59638, 20005, 11903, 46621, 7219, 89, 392, 45258, 13, 8408, 136088, 43303, 348, 603, 258, 8199, 633, 1440, 406, 11, 9911, 822, 12032, 9089, 34368, 14649, 343, 732, 18563, 16034, 11000, 3065, 3013, 77, 13, 9236, 26109, 10928, 42759, 654, 16053, 7219, 709, 41101, 267, 11, 4443, 1147, 1704, 32251, 7256, 2823, 709, 4905, 11595, 6395, 21506, 7666, 268, 13, 25861, 10651, 63319, 8793, 1059, 372, 4260, 28421, 11, 51290, 4116, 32175, 65, 22157, 13368, 4368, 97914, 458, 2694, 1967, 482, 13, 142839, 42668, 2694, 5004, 50037, 372, 9820, 4836, 65161, 81894, 665, 624, 40369, 3371, 440, 11, 37699, 2739, 5342, 426, 24440, 70336, 11, 4116, 372, 10638, 26769, 11000, 11595, 7180, 3893, 380, 6433, 63630, 654, 14761, 665, 624, 1254, 1110, 2136, 950, 35363, 2285, 14953, 645, 6222, 2125, 83425, 268, 17659, 12, 37361, 12, 4416, 2630, 261, 5183, 1737, 645, 46168, 1070, 93936, 331, 2863, 74, 3818, 198, 87876, 30872, 665, 22126, 5999, 9820, 37221, 11, 13279, 2694, 2746, 3984, 14668, 2770, 43506, 268, 11, 9911, 74492, 1960, 9820, 38574, 273, 13804, 68, 29695, 370, 83, 11, 4443, 625, 2956, 37592, 6772, 18859, 89, 590, 15671, 11, 14948, 48803, 794, 95174, 18520, 83423, 5999, 13, 2055, 572, 30005, 89131, 12222, 13785, 2746, 80331, 11, 19104, 12788, 336, 1127, 13785, 2746, 15928, 1579, 13, 3874, 49662, 5999, 1531, 773, 274, 6130, 2301, 22539, 27784, 11, 9089, 304, 2694, 18803, 35, 3354, 16053, 6395, 2922, 351, 16030, 13, 9236, 4446, 83, 59765, 11, 8793, 54459, 6616, 65764, 2986, 21506, 2429, 434, 287, 932, 351, 301, 13, 19000, 73741, 9089, 13279, 93912, 59908, 28883, 5016, 332, 23815, 2844, 65752, 383, 36077, 1081, 34271, 50095, 2714, 832, 6433, 624, 39, 13, 1581, 17958, 75018, 510, 50, 958, 268, 11, 14948, 1531, 8641, 26252, 14410, 62713, 14821, 13, 8408, 43427, 266, 23647, 12583, 9421, 38130, 1011, 2301, 60021, 1371, 46728, 665, 386, 3891, 1728, 68, 8479, 17058, 304, 30781, 17739, 2656, 268, 3321, 392, 7637, 624, 2304, 1070, 67382, 2714, 2712, 406, 25, 6616, 572, 9820, 6774, 440, 25714, 1174, 91647, 26612, 93077, 2501, 11, 14821, 12743, 13977, 5840, 0, 75291, 261, 5999, 6616, 35323, 5342, 8735, 13, 220, 17, 25, 33781, 13601, 529, 3371, 24851, 5679, 4697, 4027, 11, 24929, 20048, 8495, 2714, 89, 85242, 11, 572, 8495, 56945, 13, 8495, 2739, 14383, 44977, 12222, 38472, 468, 63274, 2030, 1962, 10453, 15719, 14609, 360, 17029, 12643, 13, 25861, 73455, 449, 18849, 14948, 28086, 18520, 485, 48015, 11, 41488, 2429, 5999, 41235, 58009, 69, 72734, 261, 11, 44390, 467, 332, 2030, 48686, 968, 5342, 17630, 75508, 668, 4370, 46646, 624, 49, 34966, 2714, 8656, 406, 11, 42250, 5016, 92583, 11, 19104, 2746, 50232, 1440, 9089, 47143, 34542, 13906, 11, 26769, 364, 26716, 266, 23647, 641, 12495, 23569, 17360, 5999, 342, 21519, 77, 408, 8688, 896, 73276, 11, 26769, 25531, 19767, 709, 4554, 1070, 663, 42598, 1579, 2030, 364, 8813, 355, 61231, 12, 10141, 86, 32612, 2185, 6, 17790, 77868, 810, 12032, 13, 7107, 288, 79192, 12743, 932, 3680, 408, 27926, 4841, 13, 4182, 258, 11, 10638, 686, 8793, 18520, 11, 926, 465, 13620, 453, 69, 11, 3647, 331, 59493, 13, 8408, 978, 34711, 11, 2746, 9812, 431, 2956, 1174, 320, 82, 351, 665, 28086, 67498, 941, 568, 4182, 258, 11, 10638, 9544, 48803, 364, 33, 2956, 2381, 10453, 516, 7364, 15359, 529, 8793, 624, 2428, 1110, 76, 15938, 96326, 84, 529, 2630, 36964, 2285, 14, 17, 16, 15, 15, 14, 1330, 1776, 96326, 68412, 5655, 258, 12, 709, 383, 6383, 276, 2832, 2245, 96528, 2852, 12070, 2630, 483, 12, 1241, 22471, 92680, 59456, 14, 151643, 25216, 673, 372, 14953, 266, 46745, 32997, 760, 40640, 64, 198, 77466, 2986, 560, 2030, 23334, 746, 38132, 31008, 94376, 26109, 27684, 2956, 6498, 529, 6538, 5665, 74, 76431, 27914, 4079, 624, 41393, 2925, 652, 5857, 11, 16288, 20368, 13070, 1229, 11, 14268, 4932, 71859, 77429, 198, 22171, 68832, 258, 5999, 21506, 19168, 220, 21, 16, 23, 17, 28789, 362, 91326, 1389, 4865, 71450, 48376, 295, 56364, 198, 623, 20128, 932, 62273, 25, 220, 18, 16, 22, 14, 20, 24, 19, 16, 14, 20, 18, 19, 17, 198, 59243, 12, 488, 16402, 3821, 2180, 198, 32595, 61550, 861, 9911, 383, 73211, 509, 10827, 198, 2136, 3133, 449, 30517, 2285, 198, 18175, 91912, 665, 2030, 35780, 440, 7219, 2694, 16023, 8438 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 918, 3435, 64, 2285, 12583, 6538, 40640, 64, 384, 5058, 13, 34368, 32863, 2030, 21506, 11567, 4370, 2429, 92191, 16809, 383, 652, 47631, 13, 2823, 21561, 70668, 422, 1003, 465, 12583, 10712, 2048, 1528, 48323, 2667, 85740, 13, 8408, 647, 648, 72, 490, 41203, 42603, 11, 23985, 19985, 2185, 11, 6250, 20512, 50158, 2030, 94572, 5166, 2694, 6250, 54594, 2185, 4845, 5186, 30353, 2694, 5699, 41380, 21673, 93716, 12543, 2185, 939, 16868, 58791, 6433, 9460, 1087, 66809, 13, 9740, 267, 24777, 13, 19000, 13821, 2694, 67435, 11, 31100, 408, 7714, 56580, 11, 74629, 36433, 11, 81501, 86379, 38782, 2030, 94788, 811, 2823, 21561, 70668, 12583, 4335, 383, 652, 47631, 6772, 25620, 28658, 11687, 624, 840, 465, 811, 6250, 41210, 2030, 25422, 13, 1230, 799, 81020, 64208, 41203, 25422, 6395, 15637, 268, 4895, 325, 14668, 422, 1003, 465, 11, 7219, 87862, 91912, 665, 16111, 79913, 18069, 1489, 1854, 17630, 13, 3874, 49662, 20048, 16111, 7180, 26769, 61122, 5183, 91912, 665, 10928, 31357, 42678, 36956, 13785, 37060, 13, 45481, 2746, 91912, 665, 2694, 2739, 2080, 1960, 82276, 5999, 357, 1415, 2694, 16868, 58791, 7256, 1527, 8221, 1404, 12385, 13017, 265, 8629, 2694, 82276, 2739, 69046, 6772, 13, 8408, 2739, 2080, 1960, 82276, 47650, 16034, 28831, 71865, 2694, 6250, 2080, 2185, 7219, 22163, 70, 20005, 1032, 54327, 423, 267, 78940, 13785, 66693, 723, 13, 1032, 13920, 2280, 307, 81, 7256, 91912, 665, 43303, 16034, 28831, 71865, 2694, 6250, 2080, 2185, 8793, 88766, 2667, 2257, 13, 51310, 11624, 6817, 304, 39416, 20005, 36866, 1080, 273, 2694, 2739, 2080, 1960, 82276, 5999, 60637, 28883, 16540, 54942, 665, 1527, 39416, 2154, 3122, 665, 17058, 1032, 54327, 423, 1149, 38132, 8793, 16034, 332, 2257, 13, 47436, 81331, 12643, 6538, 1032, 54327, 423, 1149, 89, 11595, 12643, 16111, 2694, 471, 7256, 25422, 4443, 94873, 408, 82195, 12495, 13, 151643, 19462, 7526, 132678, 896, 25, 74001, 570, 10938, 760, 9374, 4360, 24343, 2863, 481, 23080, 300, 350, 23348, 10938, 29769, 5016, 2863, 671, 17, 17, 14, 17, 15, 16, 17, 2030, 2746, 8800, 36614, 220, 16, 20, 3128, 349, 87791, 624, 6639, 321, 220, 17, 481, 8408, 46307, 4711, 89, 8092, 324, 220, 16, 20, 3128, 349, 87791, 198, 48733, 939, 2925, 9013, 5251, 30314, 819, 14047, 2429, 294, 12153, 69084, 278, 220, 17, 15, 16, 18, 732, 93504, 75, 2717, 2694, 46307, 4711, 89, 8092, 324, 510, 1, 53, 263, 3371, 22318, 41658, 3893, 20827, 268, 220, 16, 13, 23, 20, 20, 37888, 4413, 932, 70264, 331, 267, 1480, 77, 28122, 4711, 89, 11, 2746, 9089, 9421, 2429, 2925, 9013, 2714, 42316, 11, 12583, 14840, 5205, 220, 17, 21, 23, 37888, 20408, 2030, 40870, 1148, 676, 220, 16, 20, 78233, 2694, 36408, 1358, 21673, 1967, 275, 28122, 5760, 85526, 20408, 1931, 87481, 624, 32, 1387, 732, 294, 12153, 69084, 278, 220, 17, 15, 16, 18, 12583, 31357, 47669, 1967, 50158, 4886, 321, 20408, 21207, 343, 12743, 32863, 30179, 13, 1205, 41846, 434, 529, 343, 41137, 11595, 66386, 23118, 2746, 49371, 52015, 28122, 4711, 25329, 46887, 8629, 34368, 26252, 732, 37419, 220, 17, 15, 16, 19, 624, 18175, 49371, 52015, 28122, 4711, 25329, 46887, 8629, 312, 2125, 268, 3371, 76018, 5451, 2694, 434, 529, 343, 5760, 54377, 6538, 13785, 220, 20, 15, 78233, 2694, 2925, 9013, 46168, 275, 28122, 5760, 85526, 20408, 14840, 220, 17, 15, 16, 21, 13, 12741, 220, 1723, 66693, 968, 20005, 9680, 2185, 927, 269, 6186, 7180, 3371, 133661, 55632, 2694, 2925, 9013, 19625, 269, 10573, 268, 4116, 220, 17, 15, 16, 20, 624, 2753, 331, 1962, 1543, 2694, 33328, 10573, 268, 5451, 44499, 5760, 267, 24638, 268, 7180, 44693, 74, 780, 5999, 304, 13017, 44914, 13, 8408, 48158, 73360, 277, 50656, 7219, 2694, 44499, 267, 24638, 68, 304, 18482, 288, 30102, 12643, 7180, 1527, 42477, 220, 17, 15, 16, 19, 2714, 35608, 295, 10040, 80593, 5665, 433, 65161, 25, 20404, 35225, 2391, 1902, 4865, 2694, 46307, 4711, 89, 8092, 324, 16034, 9374, 4360, 24343, 2863, 11, 15577, 25, 220, 17, 15, 16, 18, 45274, 18, 15995, 624, 6639, 321, 220, 18, 481, 77814, 6566, 5183, 13906, 2429, 46307, 423, 69, 395, 28122, 1389, 4865, 198, 1514, 275, 6702, 220, 17, 15, 16, 18, 10246, 4370, 2429, 46307, 5760, 423, 69, 395, 28122, 5760, 1389, 4865, 425, 10141, 69, 38, 77814, 6566, 5183, 34699, 2746, 1032, 331, 13730, 68947, 50499, 939, 2925, 9013, 13906, 13, 14235, 6616, 2925, 9013, 34734, 306, 6237, 5760, 47631, 20005, 468, 287, 81, 43414, 348, 1087, 645, 426, 11, 2746, 9089, 732, 23388, 69, 742, 5840, 5451, 2429, 274, 11706, 276, 42469, 14410, 35225, 20491, 266, 21673, 5665, 23318, 81616, 268, 11, 5999, 2694, 20004, 5760, 46014, 939, 6250, 96922, 82, 143437, 650, 37285, 1038, 13, 328, 965, 665, 6616, 425, 10141, 69, 38, 3371, 77814, 6566, 5183, 9443, 4370, 11, 5999, 5451, 431, 14456, 5760, 21062, 86, 15141, 5679, 6538, 19929, 4865, 82, 5760, 423, 96922, 6395, 312, 2125, 268, 624, 6639, 321, 220, 19, 481, 8408, 59330, 2185, 2280, 10938, 198, 33, 1241, 288, 8656, 89, 1536, 258, 37143, 8755, 74, 2010, 320, 6484, 52, 8, 14322, 1704, 529, 343, 51707, 84952, 25061, 24929, 304, 17058, 47669, 20004, 61229, 2694, 10207, 21558, 76, 1960, 23080, 300, 350, 23348, 10938, 29769, 5016, 2863, 5046, 2030, 5763, 68595, 22539, 54081, 12643, 13, 330, 40369, 9544, 1147, 332, 4738, 267, 6919, 19488, 2301, 13785, 37400, 83, 11, 21903, 3263, 8755, 74, 2010, 8755, 74, 14649, 59330, 2185, 2280, 10938, 13, 151643, 35544, 14950, 42146, 220, 17, 15, 16, 23, 25, 8554, 11, 77930, 2030, 3184, 268, 65, 11706, 1732, 1021, 7180, 4368, 1007, 21649, 98886, 481, 98886, 198, 21, 13, 80157, 220, 17, 15, 16, 23, 11, 220, 16, 20, 25, 19, 17, 38183, 198, 87876, 46280, 712, 265, 11, 87862, 84579, 81760, 50499, 72170, 12788, 20096, 77868, 896, 333, 3818, 25, 49192, 3184, 268, 65, 11706, 1732, 450, 5436, 8666, 17454, 9089, 678, 135453, 6772, 220, 16, 15, 15, 13, 15, 15, 15, 42786, 624, 22171, 136142, 71865, 2694, 46287, 42146, 5999, 2746, 3184, 268, 65, 11706, 1732, 1021, 1079, 220, 16, 21, 13, 80157, 13, 758, 3371, 40462, 69713, 294, 3292, 27298, 1531, 94572, 386, 6309, 17627, 40897, 4443, 6616, 49942, 46168, 7964 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 304, 98886, 624, 60195, 953, 13, 2362, 80157, 77509, 98886, 11, 13368, 293, 3850, 1531, 19349, 15719, 25, 1527, 139376, 6772, 2694, 46287, 42146, 12583, 2746, 143089, 68143, 12495, 5451, 3184, 268, 65, 11706, 69, 1466, 12495, 387, 9903, 5178, 11, 2030, 13279, 2694, 3184, 268, 65, 11706, 1732, 1021, 6952, 267, 7253, 268, 678, 135453, 6772, 97914, 529, 2565, 355, 408, 304, 3041, 7964, 69, 299, 12032, 730, 535, 2391, 5676, 7180, 18520, 350, 22072, 12070, 1079, 21525, 624, 18175, 92610, 3145, 11595, 40897, 4443, 2746, 62554, 12583, 304, 3371, 66968, 45506, 25531, 88628, 265, 28064, 22539, 27784, 11, 2030, 47332, 1536, 896, 457, 27298, 1531, 71765, 40462, 330, 47, 1399, 12, 17053, 82, 1, 2746, 9089, 11, 773, 289, 66107, 7522, 1531, 9089, 2746, 92610, 37277, 11, 17790, 293, 29159, 2030, 1187, 27951, 47226, 2340, 962, 2030, 139349, 1323, 14931, 668, 39157, 8398, 81146, 13, 77356, 5999, 1531, 11, 7219, 663, 16335, 13368, 10928, 304, 140108, 17790, 25531, 3000, 1268, 10938, 38868, 6283, 258, 36616, 6538, 29505, 94211, 11, 11615, 7964, 2030, 4058, 11553, 70628, 39307, 91717, 54371, 1371, 10661, 37949, 2030, 6250, 8400, 70, 2185, 304, 68042, 2655, 22837, 2694, 44966, 7219, 1174, 91647, 6395, 37896, 1365, 2030, 49536, 67658, 10928, 140748, 6395, 17630, 624, 32617, 12583, 2746, 52200, 2694, 46287, 42146, 220, 17, 15, 16, 23, 510, 6667, 9418, 261, 11099, 6059, 198, 6091, 7577, 94540, 11, 220, 23, 13, 80157, 11, 30005, 8047, 6616, 1863, 306, 10721, 7180, 35515, 360, 14, 642, 65, 10559, 730, 76431, 2030, 77930, 1207, 60195, 953, 304, 2746, 14722, 49667, 2694, 48866, 98886, 320, 24, 2572, 506, 4886, 277, 5251, 39563, 267, 932, 12, 2120, 20175, 220, 16, 11, 422, 610, 4188, 958, 7997, 8, 659, 42079, 220, 16, 19, 14840, 220, 16, 22, 38183, 12643, 304, 57519, 647, 371, 125245, 4370, 2746, 23334, 1323, 1387, 22910, 1466, 265, 220, 16, 24, 16, 23, 11, 220, 16, 24, 18, 23, 2030, 220, 16, 24, 21, 23, 70056, 32030, 295, 25, 25006, 1528, 7107, 31475, 11595, 55879, 1531, 304, 2694, 9740, 15795, 3321, 392, 7637, 11, 2746, 607, 2577, 47631, 20005, 6250, 8400, 70, 2185, 6538, 13222, 19791, 70628, 668, 89, 51078, 71378, 30, 25006, 1528, 13093, 60053, 2185, 42668, 2746, 220, 16, 24, 18, 23, 4368, 746, 89, 10938, 6250, 8400, 70, 2185, 304, 2694, 3043, 11171, 68, 275, 7180, 2746, 11615, 7964, 12, 2030, 29505, 94211, 81936, 791, 2185, 2694, 28275, 74, 82491, 82, 29413, 30, 25006, 7522, 18069, 1489, 1854, 42668, 2746, 330, 11553, 29937, 22126, 1, 7180, 2746, 92979, 2694, 23111, 40, 72977, 33, 365, 791, 2185, 30, 12741, 18069, 376, 1442, 5999, 83423, 11, 9820, 1527, 87697, 21506, 2804, 15990, 31, 69291, 3591, 6847, 14821, 66386, 66107, 13920, 624, 6667, 42146, 38650, 2030, 6452, 7219, 2694, 2340, 962, 89931, 53382, 198, 6091, 8224, 46680, 11, 220, 24, 13, 80157, 11, 1152, 17029, 2746, 49942, 12, 33768, 6538, 220, 24, 14840, 220, 16, 22, 38183, 13279, 17443, 6686, 17322, 7219, 2694, 2340, 962, 89931, 53382, 13, 9236, 27298, 3091, 87460, 10559, 23334, 32507, 76, 2185, 6538, 2694, 68290, 9299, 453, 7671, 437, 10254, 14495, 331, 11, 2694, 18971, 46533, 39620, 5295, 258, 1863, 2956, 68, 2030, 24861, 16259, 28888, 5059, 88898, 5059, 11, 53797, 5547, 26770, 11, 18207, 20155, 268, 2030, 4368, 43999, 14906, 76, 13, 35780, 75590, 10552, 6772, 5999, 11, 15719, 10928, 1079, 48158, 42146, 6452, 13785, 136740, 37888, 20408, 77414, 37060, 13, 362, 13920, 2185, 25, 1527, 36601, 11595, 12583, 12222, 17790, 10712, 28275, 36601, 11595, 13906, 44340, 50837, 13, 45481, 84506, 13762, 1579, 7180, 18207, 20005, 2030, 3841, 1268, 42341, 5999, 67658, 10928, 14410, 82751, 11, 95710, 6686, 12098, 85335, 12583, 13906, 44340, 624, 6667, 42146, 12353, 732, 35232, 70, 23118, 139349, 1323, 14931, 198, 6091, 11840, 94905, 11, 220, 16, 15, 13, 80157, 63318, 4711, 2694, 35232, 70, 23118, 38897, 350, 460, 38805, 75590, 7180, 3184, 268, 65, 11706, 69, 20933, 3591, 13, 24209, 31722, 268, 5342, 42146, 16629, 268, 81146, 49536, 2746, 328, 4865, 2257, 26612, 59801, 2956, 12032, 13, 43999, 20048, 9089, 458, 36744, 12353, 13906, 44340, 7126, 5699, 76, 766, 268, 47008, 2030, 1531, 27298, 9820, 9390, 77, 10938, 431, 2305, 2576, 301, 3461, 3179, 5451, 6250, 2301, 2185, 13, 4229, 51176, 4711, 5999, 2694, 35232, 70, 23118, 139349, 1323, 14931, 6538, 220, 24, 14840, 220, 16, 23, 13, 18, 15, 38183, 11, 1531, 17837, 1960, 2746, 14089, 96049, 28397, 1726, 1064, 624, 6667, 42146, 24069, 1079, 85455, 11855, 57548, 198, 1427, 33328, 30102, 2694, 3184, 268, 65, 11706, 1732, 1021, 27298, 1531, 6538, 60404, 46680, 11, 220, 16, 17, 13, 80157, 14840, 8224, 46680, 11, 220, 16, 21, 13, 80157, 26252, 6616, 42146, 24069, 1079, 85455, 11855, 57548, 13, 42616, 22539, 2267, 406, 14821, 9820, 11401, 301, 46728, 458, 68832, 16676, 5451, 30601, 804, 47635, 268, 13906, 44340, 19349, 11, 4081, 11855, 78, 13368, 4368, 5282, 275, 27684, 31573, 529, 288, 18373, 495, 14274, 645, 844, 6331, 7180, 2714, 1626, 16053, 10938, 96998, 2030, 512, 579, 20005, 794, 13977, 74, 2185, 274, 82751, 13, 9236, 289, 23118, 23388, 89, 13820, 11, 43751, 48818, 11, 11615, 11595, 2030, 17098, 642, 18520, 13, 9740, 51176, 4711, 14821, 1079, 220, 16, 17, 13, 80157, 4443, 220, 16, 24, 13, 18, 15, 38183, 5451, 17443, 3066, 94057, 939, 23155, 28242, 928, 48672, 367, 778, 2493, 2010, 2694, 16942, 68398, 17739, 47610, 32621, 7997, 3959, 261, 34711, 34699, 6778, 13, 42161, 92610, 3145, 11595, 12583, 7126, 9057, 1387, 2257, 11, 6616, 4081, 64, 361, 73910, 75315, 883, 12412, 624, 6667, 3184, 268, 65, 11706, 1732, 1021, 198, 6091, 8224, 46680, 11, 220, 16, 21, 13, 80157, 220, 17, 15, 16, 23, 75315, 2746, 220, 17, 18, 13, 3184, 268, 65, 11706, 1732, 1021, 67317, 13, 33312, 2429, 18977, 983, 330, 28251, 11, 77038, 11, 22138, 10748, 14913, 5436, 8666, 17454, 9089, 14840, 6395, 305, 1241, 529, 2565, 355, 408, 42786, 11, 4443, 9089, 5451, 3371, 1527, 11567, 4370, 2694, 49942, 12, 33768, 6395, 6437, 41860, 16030, 624, 22171, 39272, 16597, 768, 738, 11687, 9089, 668, 220, 16, 19, 38183, 21982, 85455, 11855, 57548, 9421, 304, 37210, 791, 2185, 11, 4443, 3371, 21525, 34699, 2746, 77200, 376, 4865 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2185, 54459, 4443, 81, 22157, 13, 142073, 939, 23334, 89, 13299, 14821, 27684, 68, 17029, 2030, 633, 276, 11687, 13, 23334, 220, 16, 22, 38183, 305, 41203, 2694, 21048, 331, 7180, 9820, 55167, 77225, 11, 4443, 9089, 28789, 330, 83817, 939, 479, 14134, 74, 724, 1, 458, 502, 1952, 42786, 6395, 2714, 6130, 932, 11, 2746, 458, 2694, 15335, 10862, 65845, 31573, 1225, 13129, 22385, 44960, 2739, 47365, 7964, 12583, 12385, 7219, 59785, 54649, 1839, 70628, 61474, 36616, 12385, 35346, 273, 54327, 1713, 36614, 10672, 802, 36108, 42678, 3145, 423, 20512, 331, 724, 47650, 13, 23334, 220, 16, 23, 38183, 50926, 2746, 81741, 2986, 939, 1863, 50159, 26252, 1079, 85455, 11855, 57548, 384, 396, 64260, 624, 70451, 77070, 40897, 4443, 46287, 42146, 2030, 6616, 93898, 73910, 15719, 883, 12412, 668, 81, 28421, 624, 3477, 268, 65, 11706, 1732, 1021, 35544, 14950, 42146, 198, 38, 288, 1241, 22385, 42, 5744, 50, 44236, 142454, 32, 5368, 339, 53894, 32, 5368, 339, 1225, 365, 3591, 14027, 1174, 287, 10580, 263, 23779, 10580, 6721, 304, 98886, 41957, 135786, 50, 44236, 57548, 33, 485, 1199, 20542, 13446, 3591, 267, 151643, 57, 2941, 86975, 45, 3825, 32829, 3390, 952, 1365, 14322, 645, 23007, 276, 2372, 9812, 760, 42937, 323, 62115, 4818, 65903, 198, 58827, 645, 6331, 276, 2372, 905, 76716, 25423, 88185, 799, 77131, 2185, 198, 90940, 928, 87481, 25, 6702, 220, 17, 15, 16, 24, 624, 58827, 645, 6331, 276, 2372, 905, 5999, 1850, 265, 12755, 11, 54548, 89, 590, 15671, 11, 14948, 38897, 60404, 5342, 7180, 42786, 5451, 14612, 5744, 11595, 84911, 25423, 6772, 12583, 13, 14322, 645, 6331, 276, 2372, 905, 8896, 9820, 81314, 135573, 20005, 386, 6309, 458, 431, 433, 413, 47322, 2725, 17029, 11, 4443, 54548, 89, 590, 15671, 11, 14948, 38897, 16023, 7180, 42786, 5451, 14612, 5744, 11595, 71935, 261, 6395, 3318, 332, 5679, 2030, 84911, 25423, 50095, 5999, 11, 7219, 59785, 2694, 18859, 268, 49371, 37400, 2185, 11, 14948, 55928, 23276, 331, 6616, 1032, 13920, 8896, 11, 304, 467, 5186, 450, 11, 479, 54371, 22385, 11, 26692, 3969, 2030, 1230, 138644, 50499, 6395, 97872, 624, 57, 768, 25423, 88185, 7219, 14322, 645, 6331, 276, 2372, 905, 198, 58827, 645, 6331, 276, 2372, 905, 97096, 6616, 2657, 35054, 16023, 80272, 12980, 17312, 90769, 11, 6616, 6538, 17443, 7681, 449, 77399, 76716, 25423, 88185, 778, 2836, 1274, 73461, 14821, 13, 8408, 4377, 97035, 37633, 1531, 14322, 645, 6331, 276, 2372, 905, 11, 2746, 18069, 39416, 2185, 2694, 57123, 3732, 3591, 7180, 2746, 76716, 25423, 88185, 6538, 4895, 31500, 35505, 320, 25459, 1890, 220, 17, 13, 16, 8, 6395, 98038, 932, 624, 90940, 344, 16030, 939, 76716, 25423, 6772, 440, 1199, 5676, 126827, 198, 32617, 76716, 25423, 6772, 440, 1199, 5676, 2391, 6538, 14322, 645, 6331, 276, 2372, 905, 15719, 49183, 17029, 12643, 11, 64289, 8495, 7219, 6616, 19612, 7180, 6616, 76716, 25423, 6772, 440, 1199, 5676, 2391, 304, 2694, 468, 60273, 2694, 47404, 595, 93790, 13, 28275, 2429, 20004, 131807, 11759, 939, 76716, 25423, 6772, 440, 1199, 5676, 126827, 289, 23118, 8495, 67382, 15462, 38996, 11, 14840, 6616, 76716, 25423, 6772, 440, 1199, 5676, 2391, 56354, 47635, 343, 17837, 21140, 5999, 624, 58827, 645, 6331, 276, 2372, 905, 738, 11687, 38897, 425, 336, 21558, 11595, 11845, 11, 2746, 76716, 25423, 88185, 53936, 16023, 2030, 53936, 60404, 267, 273, 380, 11595, 357, 130337, 6395, 98038, 932, 11, 304, 2694, 49371, 37400, 2185, 11, 14948, 1531, 44367, 47119, 273, 5840, 533, 15659, 10559, 6250, 15897, 37633, 2185, 5999, 11, 9820, 4317, 426, 1469, 11, 84911, 25423, 20005, 2030, 66796, 73938, 13820, 84605, 10928, 7180, 2746, 23166, 6433, 6538, 6975, 5451, 14612, 5744, 11595, 6395, 97035, 21673, 624, 51, 4640, 89, 44160, 425, 336, 21558, 11595, 11, 12304, 82276, 2030, 91912, 665, 7219, 14322, 645, 6331, 276, 2372, 905, 56354, 47635, 343, 84911, 25423, 6772, 6395, 37896, 11, 12583, 63620, 91912, 665, 22163, 70, 50095, 41210, 17790, 8793, 56354, 47635, 343, 458, 2746, 5412, 968, 15795, 76716, 25423, 6772, 440, 1199, 2685, 2347, 32175, 41101, 267, 30179, 13, 23980, 15719, 74054, 49503, 89, 1704, 21558, 1440, 19349, 11, 14948, 16111, 8793, 2746, 1079, 52747, 56505, 622, 7714, 2799, 10559, 89452, 2185, 81671, 12385, 3524, 333, 449, 17029, 17630, 624, 50, 965, 1960, 8495, 5451, 87262, 89463, 7522, 758, 35505, 7219, 14322, 645, 6331, 276, 2372, 905, 29505, 1268, 343, 51707, 17630, 12385, 92660, 5451, 6216, 58773, 68413, 47355, 44160, 16023, 91304, 6433, 11, 40746, 16030, 8495, 6975, 67382, 66983, 2694, 4622, 268, 137194, 2986, 14668, 11, 13368, 82816, 32175, 42316, 11, 2030, 16111, 82197, 43860, 54064, 30632, 624, 70194, 8495, 4368, 76716, 25423, 6772, 440, 1199, 34586, 296, 57588, 85970, 11, 70777, 17630, 12385, 92660, 91304, 6433, 11, 289, 19875, 8495, 9089, 67382, 13368, 9443, 5178, 458, 3371, 14322, 645, 6331, 276, 2372, 905, 15843, 1241, 408, 3591, 267, 25, 151643, 40369, 12422, 579, 13279, 3371, 8459, 22837, 304, 18090, 24, 11, 2994, 15719, 10638, 68876, 14948, 301, 1371, 37896, 11, 12222, 35141, 10638, 67952, 8793, 44390, 98344, 281, 1489, 559, 932, 2030, 15719, 458, 2818, 65, 7272, 794, 6712, 6616, 16868, 58791, 7256, 8459, 321, 52367, 2892, 4894, 74909, 27298, 1531, 10489, 82032, 724, 9820, 1527, 74462, 13368, 883, 2746, 350, 439, 3658, 5451, 17443, 38684, 73937, 10712, 2429, 19662, 328, 22615, 74191, 382, 83953, 93822, 15113, 932, 8793, 67058, 2818, 12755, 11, 282, 2391, 79788, 9911, 3371, 87727, 359, 268, 2746, 730, 27277, 25, 2502, 20480, 13, 96520, 220, 16, 13, 16, 13, 17, 15, 16, 16, 141489, 77775, 58217, 668, 220, 16, 15, 13, 15, 15, 15, 18069, 1126, 24134, 932, 34542, 20605, 838, 544, 1100, 268, 19767, 131527, 2030, 27227, 7997, 70, 66976, 2739, 71, 25423, 268, 13, 93403, 61231, 408, 12583, 2746, 87943, 35649, 27227, 7997, 28852, 450, 6130, 1466, 5676, 41488, 27431, 23103, 56539, 343, 12743, 645, 4370, 13, 38747, 63620, 1863, 58193, 6538, 220, 17, 15, 16, 16, 11, 27227, 7997, 28852, 450, 6130, 1466, 5676, 1640, 4188, 35225, 39307, 462, 18069, 1126, 71, 1194, 510, 83953, 3371, 1298, 15843, 453, 69, 13431, 6130, 1466, 5676, 10246, 4370, 274, 70487, 73411, 13279, 3371, 77775, 58217, 668, 220, 16, 15, 13, 15, 15, 15, 18069, 1126, 24134, 932, 1863, 21188, 2863, 2030 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 18994, 77, 11042, 458, 2694, 81741, 2986, 26, 86547, 5999, 39771, 14835, 261, 8400, 15525, 28064, 2073, 10712, 85445, 13, 51709, 268, 35346, 19154, 343, 440, 1199, 2391, 9160, 2122, 11595, 1197, 35505, 2746, 27227, 7997, 70, 66976, 10928, 5540, 423, 709, 12032, 2030, 32936, 2521, 17395, 2185, 2280, 307, 14408, 51707, 13, 8408, 1863, 58193, 47650, 14047, 17058, 26349, 16676, 1527, 83301, 2694, 434, 10298, 732, 11426, 4578, 81331, 624, 641, 431, 1021, 1371, 360, 12643, 502, 36956, 6772, 2162, 13, 220, 17, 19, 15, 13, 15, 15, 15, 19461, 12222, 5451, 88128, 932, 384, 27918, 46646, 11, 2746, 10489, 82032, 724, 10928, 732, 14101, 1116, 3145, 18859, 384, 17707, 20827, 12583, 13, 9740, 86, 61811, 295, 12643, 9911, 6538, 220, 19, 16, 18713, 58158, 624, 63599, 25230, 431, 645, 500, 10141, 91712, 37633, 1079, 220, 17, 17, 13, 6702, 220, 17, 15, 16, 17, 220, 16, 18, 13, 42256, 220, 17, 15, 16, 19, 730, 7593, 3591, 85445, 11, 37337, 11759, 11, 82745, 45608, 8, 939, 350, 1134, 30124, 13363, 86, 9416, 465, 2502, 20480, 11, 18994, 77, 11042, 11, 86547, 11, 20605, 838, 544, 1080, 273, 11, 431, 1021, 1371, 360, 11, 1863, 21188, 2863, 15799, 39041, 24585, 142675, 20048, 8495, 9089, 10928, 14047, 2694, 73796, 28324, 758, 28551, 44914, 72164, 30632, 41557, 6395, 220, 16, 15, 15, 4, 7219, 6975, 2739, 70489, 624, 4872, 7276, 932, 35608, 2185, 732, 141506, 84732, 276, 12385, 7219, 2694, 38684, 47404, 2694, 44966, 481, 25987, 72101, 81, 3092, 13785, 5765, 69521, 52549, 2746, 6250, 90226, 50837, 13, 74303, 2030, 6395, 423, 139377, 11, 7180, 8700, 12, 18592, 285, 4081, 11855, 78, 13368, 7180, 15438, 266, 23333, 7070, 13, 151643, 8747, 4509, 2584, 609, 17322, 2694, 730, 10523, 77, 1365, 220, 16, 15, 19851, 385, 9285, 573, 1690, 7180, 82, 69713, 10938, 198, 53, 263, 75410, 7276, 477, 18233, 13785, 79509, 69, 17750, 14840, 51721, 6395, 19725, 77, 5788, 5999, 10928, 46668, 69713, 10938, 304, 4928, 90101, 26252, 773, 18069, 51663, 2478, 4894, 37, 477, 18233, 13785, 38650, 18233, 481, 46668, 69713, 10938, 14821, 1531, 55813, 83758, 11, 9089, 7180, 4368, 3665, 1079, 12353, 6395, 36852, 98975, 0, 61043, 485, 220, 16, 15, 29873, 1690, 37896, 30094, 26769, 19572, 2694, 74857, 305, 1847, 44275, 4368, 293, 1038, 7522, 71935, 261, 13, 11401, 301, 140748, 4894, 1806, 134128, 7256, 143089, 74, 59391, 1536, 9421, 47808, 44966, 74247, 426, 1531, 1079, 69713, 10938, 21982, 220, 17, 21, 13, 481, 220, 17, 23, 13, 72124, 220, 17, 15, 16, 24, 26252, 14047, 4928, 90101, 1365, 4081, 27097, 458, 3371, 85455, 11855, 12, 2030, 15696, 1371, 258, 57548, 13, 71161, 52434, 75315, 6616, 4414, 37035, 143089, 74, 59391, 1536, 69, 10863, 4929, 4509, 2584, 67317, 13, 42616, 18302, 288, 37419, 6952, 267, 7253, 268, 16358, 22740, 13518, 11, 6879, 1268, 11, 5331, 24803, 11, 794, 301, 5679, 43183, 84, 802, 2030, 41983, 18520, 24440, 64894, 19294, 2030, 37896, 6616, 17322, 6395, 17443, 7219, 1580, 19875, 3665, 7180, 2746, 93898, 88537, 4894, 54, 1020, 30, 7577, 94540, 14840, 11840, 94905, 11, 220, 17, 21, 13, 481, 220, 17, 23, 13, 72124, 220, 17, 15, 16, 24, 198, 62762, 30, 85455, 11855, 57548, 609, 15696, 1371, 258, 57548, 11, 220, 23, 21, 16, 20, 15, 4928, 90101, 198, 17, 13, 84450, 13342, 26824, 6222, 316, 1174, 52764, 198, 6091, 7577, 94540, 5999, 2746, 84450, 135786, 389, 3940, 0, 71161, 28789, 79509, 52764, 2714, 35608, 295, 97703, 4368, 308, 1216, 73910, 57465, 39337, 732, 444, 8666, 11, 732, 8670, 2516, 72, 11, 304, 2694, 2055, 6161, 22112, 11, 10712, 10928, 7219, 2429, 11840, 77, 10938, 377, 25, 9656, 39264, 594, 7219, 2429, 11840, 77, 10938, 377, 13279, 17443, 45763, 3138, 5451, 36301, 6433, 84520, 668, 220, 16, 22, 38183, 13, 3680, 220, 17, 15, 38183, 65836, 15687, 97703, 7219, 9820, 6381, 34315, 6686, 9164, 7219, 2694, 444, 8666, 9285, 615, 13256, 3457, 10316, 11, 21506, 61805, 336, 5451, 18069, 55313, 14741, 267, 13, 35780, 9101, 610, 17790, 2746, 134883, 25061, 5699, 23593, 268, 686, 11, 2694, 39264, 4759, 14047, 75410, 45061, 76, 473, 1640, 444, 8666, 11, 304, 2746, 2055, 6161, 12385, 1640, 8670, 2516, 72, 624, 54, 1020, 30, 7577, 94540, 11, 220, 17, 21, 13, 72124, 220, 17, 15, 16, 24, 11, 668, 220, 16, 22, 38183, 198, 62762, 30, 84450, 135786, 11, 220, 23, 21, 16, 20, 15, 4928, 90101, 198, 18, 13, 17322, 2694, 730, 10523, 77, 198, 1427, 89507, 939, 4928, 82, 62452, 30251, 724, 52764, 288, 75315, 10928, 46668, 37419, 26252, 6616, 17322, 2694, 730, 10523, 77, 67317, 1365, 4368, 54936, 64321, 70, 51663, 11, 26073, 288, 5264, 6691, 404, 75410, 69, 10863, 11, 13279, 2429, 730, 59391, 1536, 9421, 47808, 44966, 7219, 2746, 425, 21558, 12495, 732, 9305, 1466, 1055, 11, 1079, 54092, 84590, 2030, 732, 4311, 10140, 58065, 13, 96943, 12643, 95710, 730, 10523, 77, 57465, 39337, 3091, 87460, 16053, 10712, 10928, 74416, 13762, 16053, 53383, 133429, 13, 45481, 6975, 36108, 2694, 52200, 939, 30251, 724, 52764, 288, 4894, 54, 1020, 30, 7577, 94540, 2030, 8224, 46680, 11, 220, 17, 21, 13, 609, 220, 17, 22, 13, 72124, 220, 17, 15, 16, 24, 198, 62762, 30, 9305, 1466, 1055, 11, 54092, 84590, 2030, 4311, 10140, 198, 19, 13, 16354, 723, 424, 732, 31329, 6199, 838, 198, 32, 13299, 10269, 5999, 80776, 13002, 17872, 1371, 0, 49192, 3841, 1268, 46668, 1527, 33868, 8896, 9089, 2694, 31329, 6199, 838, 4928, 90101, 39771, 18078, 14184, 288, 9421, 3556, 15938, 25, 47436, 3371, 422, 1121, 723, 8535, 6538, 220, 17, 16, 13, 72124, 14840, 220, 16, 16, 13, 6156, 220, 17, 15, 16, 24, 51528, 53165, 11840, 94905, 34699, 220, 16, 18, 38183, 2694, 50008, 6237, 72101, 2694, 3303, 1174, 4060, 9420, 1121, 10798, 29560, 9421, 17139, 1280, 304, 3371, 31329, 6199, 838, 11, 20624, 268, 730, 35548, 24929, 1079, 6990, 17739, 74519, 16754, 6576, 5451, 4928, 82, 62452, 330, 54, 17872, 1371, 13002, 33758, 1, 387, 30166, 654, 83, 14821, 13, 141196, 65836, 15687, 52434, 9820, 2694, 74539, 1960, 5650, 613, 68143, 18759, 54708, 85117, 2030, 5282, 275, 9057, 4865, 6433, 13, 45481, 43999, 282, 21519, 3342, 2746, 19643, 7671, 29560, 29134, 19767, 6616, 16328, 13, 8408 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 422, 1121, 723, 424, 12583, 4368, 9740, 273, 11081, 285, 7180, 2746, 93898, 88537, 4894, 54, 1020, 30, 619, 14134, 11840, 94905, 11, 220, 17, 16, 13, 72124, 481, 220, 16, 16, 13, 6156, 220, 17, 15, 16, 24, 11, 220, 16, 16, 481, 220, 16, 21, 38183, 198, 62762, 30, 31329, 6199, 838, 11, 79247, 77, 10573, 261, 135786, 220, 17, 17, 11, 220, 23, 21, 16, 20, 24, 4928, 90101, 198, 20, 13, 51350, 811, 17322, 220, 17, 15, 16, 24, 198, 42074, 686, 267, 6419, 75410, 42759, 1440, 2030, 49536, 55248, 97973, 17790, 39771, 479, 2095, 11460, 30, 72915, 668, 16034, 51350, 811, 17322, 0, 71161, 2694, 51350, 811, 17322, 384, 5058, 13, 8896, 1531, 9089, 17312, 25714, 61229, 69876, 11, 63657, 730, 16074, 3226, 465, 641, 12495, 9421, 4928, 90101, 2030, 23334, 92135, 6395, 40500, 6498, 932, 2030, 2746, 42678, 93232, 458, 289, 2267, 4832, 14033, 7256, 46743, 268, 6395, 8329, 268, 13, 23980, 288, 37419, 14821, 13279, 2694, 96042, 74539, 1960, 20004, 61229, 939, 51350, 811, 38650, 18233, 13279, 2694, 12836, 263, 36855, 20411, 6616, 10304, 38817, 18114, 76, 27665, 285, 143037, 13, 479, 1070, 75410, 11, 1152, 1543, 98675, 2030, 9390, 77, 10938, 68832, 482, 5451, 946, 9913, 2071, 362, 39470, 268, 289, 23118, 7219, 97703, 4894, 21, 13, 467, 81053, 84732, 276, 198, 42074, 686, 267, 6616, 69713, 10938, 36852, 848, 406, 5451, 17443, 19725, 20406, 4368, 43183, 13160, 47008, 30, 72915, 668, 1640, 4928, 82, 62452, 2918, 321, 9971, 529, 301, 0, 71161, 1079, 7577, 94540, 1152, 72, 932, 6616, 6792, 2030, 2694, 58329, 3313, 10140, 74354, 309, 7219, 2694, 467, 81053, 458, 2694, 58329, 3313, 135786, 2030, 2739, 61194, 59493, 4368, 19725, 20406, 5451, 595, 21558, 2892, 2126, 134291, 2712, 11, 49848, 2030, 2502, 81788, 1579, 13, 7281, 12222, 17790, 19725, 20406, 33425, 68, 2030, 49848, 70, 332, 4368, 4748, 268, 2030, 2478, 39264, 594, 0, 42584, 220, 17, 15, 38183, 65836, 15687, 10489, 82032, 724, 732, 6792, 10928, 17790, 2746, 11840, 1107, 11855, 54377, 330, 32, 13299, 10269, 220, 17, 15, 19, 15, 481, 547, 3481, 3591, 17058, 3275, 490, 41203, 6433, 54092, 1, 9057, 4865, 6433, 13, 12741, 18069, 376, 1442, 5999, 83423, 624, 62762, 30, 58329, 3313, 135786, 220, 19, 21, 11, 220, 23, 21, 16, 20, 18, 4928, 90101, 198, 22, 13, 11581, 12, 10674, 10911, 1176, 304, 2694, 12764, 343, 4716, 198, 18175, 12764, 343, 4716, 609, 38896, 2739, 3435, 31722, 295, 9089, 481, 2030, 6616, 5451, 17443, 13620, 13956, 0, 12741, 730, 24537, 40, 384, 5058, 13, 93250, 83, 59228, 72705, 44966, 41861, 539, 6538, 13906, 13785, 220, 18, 15, 45506, 2030, 2739, 61194, 93908, 11581, 12, 10674, 11158, 5251, 355, 1579, 6538, 7577, 94540, 220, 16, 20, 38183, 14840, 11840, 94905, 13, 21766, 49536, 21506, 61805, 336, 66789, 1536, 11, 6841, 10787, 11032, 2030, 8408, 730, 79870, 65, 8341, 13, 25714, 15462, 43243, 67, 6433, 22080, 31722, 4894, 54, 1020, 30, 7577, 94540, 14840, 11840, 94905, 11, 220, 17, 21, 13, 481, 220, 16, 23, 72124, 220, 17, 15, 16, 24, 11, 668, 220, 16, 20, 38183, 198, 62762, 30, 12764, 343, 4716, 609, 38896, 11, 3303, 1374, 261, 37968, 57548, 11, 220, 23, 21, 16, 20, 21, 4928, 90101, 198, 23, 13, 4928, 82, 62452, 142126, 94650, 6395, 25471, 2628, 2030, 59363, 198, 65835, 9971, 301, 7577, 72, 22385, 2739, 140464, 9820, 4724, 562, 17606, 645, 304, 9919, 14668, 6538, 37156, 2030, 1032, 13920, 2154, 453, 360, 2142, 355, 30, 27258, 12583, 2746, 38124, 5679, 2694, 7577, 72, 22385, 6395, 74247, 12032, 30, 2362, 1863, 4733, 2694, 4928, 82, 62452, 142126, 94650, 6395, 25471, 2628, 2030, 59363, 11, 51873, 9089, 47143, 16034, 220, 17, 13, 8394, 56872, 9, 34711, 11, 730, 494, 1723, 331, 2649, 10938, 11, 7659, 1268, 10938, 2030, 467, 79748, 1536, 9, 34711, 304, 2694, 434, 768, 1389, 44278, 11, 4443, 74354, 309, 13785, 22318, 29937, 14410, 69701, 6772, 78315, 4942, 663, 16335, 2030, 34749, 13093, 68, 6128, 309, 26612, 304, 3371, 730, 16074, 15795, 6395, 13364, 332, 16030, 13, 21766, 49536, 575, 5849, 13, 431, 1743, 46420, 11, 328, 579, 3923, 273, 17195, 19666, 1762, 1847, 2030, 32895, 25288, 431, 2956, 14398, 4260, 13, 23980, 288, 37419, 32101, 426, 9089, 35951, 4443, 6616, 61150, 7577, 72, 22385, 13, 9656, 39264, 594, 1079, 11840, 94905, 668, 220, 17, 15, 38183, 5451, 17058, 16821, 2356, 1991, 288, 649, 31573, 6395, 80331, 97369, 22385, 732, 2918, 9484, 11509, 11, 575, 13, 264, 13, 5451, 24548, 300, 70, 337, 69246, 33756, 624, 54, 1020, 30, 11840, 94905, 14840, 60404, 46680, 11, 220, 17, 23, 13, 481, 220, 18, 15, 13, 72124, 220, 17, 15, 16, 24, 198, 62762, 30, 794, 329, 18387, 2391, 331, 485, 72, 4928, 90101, 11, 9919, 768, 31551, 609, 2918, 9484, 11509, 198, 24, 13, 4928, 82, 62452, 479, 687, 17322, 198, 38, 258, 7276, 596, 7219, 709, 41101, 267, 0, 71161, 7219, 2694, 289, 31009, 331, 2956, 12495, 11840, 77, 306, 615, 13256, 939, 3360, 6433, 48020, 422, 55314, 19822, 1440, 304, 2694, 7487, 135786, 75315, 1079, 8224, 46680, 6616, 220, 17, 13, 4928, 82, 62452, 479, 687, 17322, 67317, 13, 51709, 268, 2694, 387, 446, 16335, 86489, 411, 8125, 25564, 65836, 15687, 97703, 52434, 19767, 95710, 56106, 2030, 50583, 30289, 14011, 39620, 90360, 3566, 16030, 2030, 97703, 7219, 2746, 79041, 14047, 1581, 68413, 21491, 97463, 12010, 258, 37896, 624, 54, 1020, 30, 8224, 46680, 11, 220, 17, 22, 13, 72124, 220, 17, 15, 16, 24, 11, 668, 220, 16, 23, 38183, 198, 62762, 30, 3360, 6433, 48020, 14552, 422, 55314, 19822, 1440, 11, 55525, 68083, 135786, 220, 19, 15, 11, 220, 23, 21, 16, 20, 15, 4928, 90101, 198, 16, 15, 13, 23291, 392, 46745, 13363, 198, 26034, 68573, 4368, 69713, 408, 12010, 34705, 28883, 6616, 23291, 392, 46745, 13363, 6395, 66386, 21519, 12495, 30, 71161, 2694, 10762, 285, 850, 794, 329, 2172, 372, 384, 5058, 13, 2739, 61194, 93908, 5451, 2429, 17322, 18302, 288, 37419, 4368, 946, 9913, 1886, 20404, 309, 6242, 359, 267, 58864, 5451, 11158, 5251, 355, 1579, 11, 5547, 26770, 11, 6852, 4122, 11, 38868, 17405, 268, 11, 647, 371, 125245, 4370, 4992, 13, 55448, 46668, 69713 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10938, 12583, 52434, 63620, 1062, 1263, 92610, 3145, 11595, 29167, 65628, 11, 21506, 61805, 336, 9820, 5264, 63270, 11, 13279, 2694, 15687, 34542, 1581, 258, 54507, 10712, 21387, 21506, 37210, 68, 285, 68102, 65836, 13, 151643, 44667, 26769, 61043, 28064, 22385, 9421, 89, 324, 2305, 27899, 11, 8896, 2746, 5363, 72, 23647, 277, 64002, 64649, 1330, 20542, 2694, 62724, 732, 4697, 15843, 258, 35363, 29618, 285, 17312, 14612, 437, 37949, 46668, 663, 16335, 22097, 9111, 288, 48376, 301, 21140, 13, 12741, 33328, 2685, 64015, 10712, 97576, 12, 2030, 282, 610, 74, 1241, 7256, 142127, 2154, 92307, 258, 2746, 732, 13017, 64786, 28122, 47631, 259, 14033, 7256, 1032, 54327, 276, 86, 41203, 258, 67588, 2210, 98918, 11, 2746, 9089, 4443, 6616, 29608, 477, 2032, 1928, 266, 732, 74857, 54942, 285, 220, 16, 22, 20, 26956, 404, 12755, 11, 2030, 42250, 77, 45462, 316, 704, 59380, 79, 30875, 351, 11706, 6252, 579, 529, 730, 1512, 71, 615, 6538, 2694, 13017, 64786, 28122, 267, 6712, 939, 4697, 15843, 258, 35363, 29618, 4909, 22539, 34711, 624, 33, 7066, 2210, 98918, 8300, 65161, 13785, 84687, 258, 11866, 665, 939, 13017, 64786, 28122, 265, 54327, 13, 96943, 357, 613, 665, 9911, 10712, 97168, 306, 20005, 2030, 1147, 306, 45040, 1527, 87227, 11595, 458, 2746, 13017, 64786, 2185, 83380, 510, 4142, 12741, 77420, 20005, 65608, 47226, 13017, 265, 8801, 2030, 13017, 265, 332, 336, 5999, 6616, 362, 5, 506, 198, 4142, 55448, 13279, 357, 13977, 74, 3667, 14612, 5744, 2185, 939, 13017, 265, 13160, 87231, 2694, 13017, 64786, 10938, 8793, 13785, 2139, 226, 33007, 268, 58009, 69, 51721, 28129, 126, 241, 93403, 57926, 11595, 51873, 198, 4142, 647, 17391, 524, 7256, 25714, 61229, 939, 13017, 64786, 388, 5999, 1531, 11, 6616, 467, 39337, 939, 13017, 265, 13160, 6395, 9089, 932, 2030, 18747, 68947, 53936, 467, 66107, 1528, 6395, 1424, 17454, 39307, 10928, 38897, 2139, 226, 6984, 1728, 7997, 21673, 467, 66107, 1528, 126, 241, 83380, 89, 1704, 58217, 2030, 87488, 408, 6395, 36852, 98975, 624, 47789, 288, 1147, 306, 45040, 21756, 76133, 5342, 9820, 36195, 2030, 12709, 132894, 267, 2922, 36035, 13820, 50244, 649, 1777, 9421, 11, 304, 2694, 34734, 1952, 77420, 20005, 41663, 74374, 5451, 2694, 2694, 29413, 6433, 13017, 64786, 28122, 649, 7184, 39307, 48842, 9421, 80072, 268, 11, 25987, 325, 71, 11736, 8535, 13785, 6616, 13017, 64786, 2185, 2280, 65935, 304, 44979, 348, 6670, 85426, 47650, 624, 623, 713, 86, 16568, 31008, 50244, 649, 1777, 43303, 2139, 226, 47, 69, 48414, 354, 2685, 2030, 20624, 268, 20004, 86, 14136, 11595, 7219, 2746, 42068, 4757, 649, 7184, 126, 241, 11, 2139, 226, 47631, 20005, 1634, 375, 40951, 2694, 19716, 36616, 126, 241, 11, 2139, 226, 52, 12311, 524, 5451, 468, 5428, 1732, 77, 36964, 2030, 51239, 423, 127846, 4370, 939, 13017, 265, 13160, 11, 479, 8698, 74, 9935, 2030, 69806, 129578, 9034, 126, 241, 11, 2139, 226, 6566, 87231, 13017, 64786, 2185, 458, 1580, 268, 11, 7060, 20427, 376, 8535, 30, 126, 241, 11, 2139, 226, 97369, 87818, 306, 13536, 71, 10938, 11331, 7997, 38130, 5676, 126, 241, 575, 13, 2305, 624, 26034, 2746, 8907, 37347, 13785, 5883, 12, 10361, 8535, 32175, 426, 11, 12709, 134662, 13820, 9089, 67588, 2210, 98918, 93395, 595, 1003, 16053, 13, 19000, 25987, 65423, 13703, 7256, 2139, 244, 8725, 42137, 139906, 6616, 548, 2305, 58773, 8755, 74, 14649, 2694, 8907, 4865, 261, 96346, 2185, 304, 3371, 3264, 3591, 2139, 244, 1147, 3885, 380, 25494, 14226, 23995, 19488, 142845, 13, 9236, 42137, 5214, 517, 11, 26769, 6395, 2739, 541, 64649, 258, 932, 13, 8495, 511, 3591, 48803, 25973, 695, 2694, 2009, 14082, 7951, 36614, 2694, 13017, 64786, 2185, 304, 44979, 624, 35, 10352, 316, 704, 59380, 79, 30875, 351, 40532, 6252, 579, 529, 730, 1512, 71, 615, 6538, 2694, 13017, 64786, 28122, 267, 6712, 939, 4697, 15843, 258, 35363, 29618, 4909, 2714, 77131, 665, 9421, 72313, 6772, 458, 73455, 17739, 2823, 285, 2493, 8398, 3371, 91513, 31722, 47226, 2139, 226, 2082, 52015, 126, 241, 2030, 2139, 226, 2082, 1580, 2185, 126, 241, 13, 2139, 226, 17360, 5999, 8793, 773, 11, 6616, 1274, 299, 25651, 268, 20465, 23348, 6772, 51707, 24440, 77420, 95285, 22665, 64732, 93403, 57926, 28122, 47631, 1197, 89, 11706, 12643, 15719, 12385, 14821, 126, 241, 11, 773, 730, 1512, 71, 615, 13, 9740, 1274, 52277, 11, 14948, 1531, 12222, 4368, 2139, 226, 265, 1054, 8345, 529, 288, 1527, 376, 2032, 47631, 126, 241, 3893, 1371, 13, 16887, 11, 22075, 1531, 51939, 537, 40231, 343, 14821, 11, 14948, 4368, 13017, 265, 8801, 12385, 9820, 13017, 265, 8801, 258, 1850, 32863, 12643, 35141, 11, 8896, 26769, 7357, 12222, 4368, 25494, 384, 40399, 16789, 15141, 74, 2338, 1032, 13920, 93403, 57926, 11595, 7180, 2746, 1274, 299, 542, 1952, 6395, 1274, 64786, 10938, 7357, 6395, 282, 32251, 268, 11, 13368, 28086, 51743, 98918, 138936, 8896, 624, 6464, 42950, 86759, 5999, 342, 52633, 3818, 11, 14948, 11, 28883, 61430, 261, 20005, 93716, 12543, 2185, 11, 31357, 97168, 306, 21673, 93403, 57926, 11595, 633, 299, 25651, 12643, 141489, 13, 55448, 27298, 1531, 41488, 220, 16, 24, 24, 17, 31357, 4863, 76, 34271, 42603, 18520, 624, 42, 1512, 71, 615, 1850, 14033, 17917, 8725, 14047, 3612, 19358, 6772, 2030, 1901, 449, 8345, 529, 67952, 2746, 68042, 6250, 96922, 778, 331, 98280, 11, 1527, 129602, 11595, 2030, 93403, 57926, 11595, 11, 58319, 304, 17443, 13017, 64786, 28122, 423, 96922, 17312, 467, 65224, 2694, 1032, 38486, 2694, 425, 8804, 25651, 268, 537, 40231, 343, 12583, 13, 2139, 226, 80593, 12304, 468, 287, 81, 43414, 13368, 1147, 1785, 13, 29247, 2956, 58305, 844, 48414, 89249, 14821, 4368, 19929, 4865, 82, 9433, 93383, 91304, 17917, 126, 241, 11, 35276, 15141, 11687, 98918, 13, 472, 1330, 4865, 6772, 939, 547, 12311, 64487, 5451, 51239, 2030, 2429, 678, 64649, 16676, 29247, 2956, 4370, 69499, 11, 13368, 67588, 2210, 98918, 16540, 267, 9307, 529, 11, 14948, 2694, 13017, 265, 8801, 2739, 15897, 37633, 295, 5999, 11, 51239, 2030, 29247, 2956, 4370, 2139, 226, 86, 61811, 6772, 6395, 2739, 26397, 1960, 126, 241, 13, 431, 1241, 4368, 422, 1003, 22924, 47808, 13017, 64786, 2185, 17246, 128209, 12643, 6538, 91970, 39867, 2305, 872, 77, 6454, 485, 5178, 11, 77414, 665, 6252, 579, 529, 730, 1512, 71, 615, 35276, 15141 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 85348, 5451, 624, 39, 1330, 4865, 6772, 2694, 67232, 54377, 11, 7060, 83880, 2746, 7107, 82017, 36108, 13017, 64786, 388, 13906, 25402, 2660, 11, 138936, 6252, 579, 529, 730, 1512, 71, 615, 53797, 11, 14948, 12412, 62401, 2746, 13017, 64786, 28122, 267, 6712, 647, 79985, 43183, 709, 21506, 20512, 632, 2030, 14948, 6616, 19929, 4865, 7219, 31008, 47227, 55754, 9421, 86, 21519, 273, 2030, 1850, 6712, 13, 9740, 50232, 3342, 30632, 9421, 11, 14948, 1531, 304, 44979, 2694, 29413, 40897, 220, 16, 11, 18, 98435, 13017, 64786, 2185, 17246, 128209, 3893, 1371, 11, 2746, 13368, 9443, 5178, 1274, 265, 332, 12643, 25, 220, 20, 22, 1018, 6538, 52159, 3591, 844, 129602, 6433, 11, 220, 21, 1018, 6538, 35246, 1440, 35225, 21673, 11, 2746, 8793, 10991, 129602, 7256, 12583, 11, 220, 21, 1018, 6538, 13017, 64786, 28122, 19289, 16676, 2030, 220, 18, 16, 4, 6538, 8907, 1704, 16892, 46887, 84, 932, 13, 220, 16, 24, 24, 24, 43303, 1531, 17790, 220, 21, 17, 4, 52159, 3591, 844, 129602, 7256, 2030, 220, 24, 4, 95243, 7256, 35246, 1440, 35225, 6772, 259, 14033, 7256, 11, 2746, 13017, 64786, 11595, 27684, 21558, 3342, 17630, 624, 33, 7066, 2210, 98918, 282, 50753, 665, 30632, 9421, 11, 14948, 2746, 82745, 2694, 13017, 64786, 2185, 17246, 128209, 304, 44979, 20153, 258, 84, 1268, 6772, 4087, 7256, 13, 19000, 42137, 575, 5849, 13, 7219, 2746, 32050, 1489, 32454, 2185, 13815, 7073, 52159, 3591, 22328, 90360, 11, 7219, 2746, 2429, 3178, 10559, 92979, 320, 18982, 18520, 42786, 12643, 25531, 88768, 465, 8, 2030, 7219, 3371, 30653, 16034, 11327, 46168, 7964, 49503, 89, 1704, 21558, 1440, 624, 641, 289, 610, 6681, 336, 11331, 23455, 34368, 24638, 68, 9089, 2746, 13017, 64786, 28122, 1921, 40231, 50499, 10928, 7219, 502, 2391, 968, 485, 42786, 13, 2362, 1174, 18520, 42786, 304, 2694, 13017, 64786, 2185, 511, 3591, 47332, 301, 2301, 13, 8408, 1032, 54327, 276, 86, 41203, 258, 582, 380, 74054, 51721, 11, 14948, 34749, 45515, 1937, 34711, 2030, 45515, 48414, 12222, 2139, 226, 47631, 20005, 13017, 265, 8801, 126, 241, 511, 3591, 13, 12741, 268, 13017, 64786, 2185, 34368, 24638, 68, 9089, 8793, 7219, 38596, 3848, 273, 380, 11595, 304, 2694, 678, 83, 2305, 70, 21673, 65314, 132975, 13, 15017, 276, 2714, 2712, 811, 883, 11, 14948, 13017, 64786, 2185, 19767, 15462, 1850, 613, 1960, 1032, 54327, 276, 86, 3145, 2030, 38596, 52764, 82017, 732, 2009, 4578, 80260, 6772, 342, 52633, 3818, 12583, 624, 50, 35010, 3732, 450, 51190, 89, 11, 21982, 33328, 2685, 2694, 15082, 220, 21, 15, 21807, 2816, 2085, 46668, 794, 713, 31151, 7219, 2030, 10207, 4865, 7714, 9421, 54649, 73455, 17739, 57803, 13, 506, 723, 12583, 18069, 36702, 11595, 11, 304, 69507, 2746, 6395, 13017, 64786, 19875, 97872, 11, 83281, 7357, 1692, 77, 676, 22385, 2030, 10928, 52159, 3591, 844, 129602, 7256, 11, 2746, 2746, 6395, 13017, 64786, 19875, 304, 71017, 566, 318, 17739, 23334, 30102, 2755, 59493, 56945, 11, 77158, 6772, 13785, 8187, 529, 13, 2139, 226, 40369, 9544, 5451, 38684, 49536, 11, 9820, 5166, 18078, 1387, 13446, 3591, 267, 74227, 324, 28698, 11, 7180, 2746, 9740, 81377, 2185, 38805, 73455, 32708, 2009, 4578, 927, 321, 30353, 126, 241, 11, 773, 51190, 89, 13, 42161, 1527, 86, 288, 19875, 40153, 1960, 2048, 1528, 15690, 10358, 2071, 2030, 56945, 9089, 10928, 4368, 1323, 27918, 624, 126, 226, 641, 44160, 88768, 465, 72597, 19875, 20404, 69701, 47827, 2746, 15928, 24803, 4443, 5183, 2712, 11, 6250, 69046, 2185, 13785, 37060, 13, 55448, 9911, 12643, 88768, 465, 11, 85227, 94213, 6772, 88768, 465, 11, 10712, 12304, 11, 2746, 12412, 2444, 5679, 13, 8408, 21766, 65, 94858, 34711, 2030, 21766, 65, 94858, 17630, 5451, 54649, 70165, 74, 2944, 11, 3360, 8801, 46728, 2185, 11, 3680, 83543, 17312, 2055, 59380, 3004, 28064, 2185, 53797, 387, 343, 295, 56364, 11, 14948, 2746, 1774, 76971, 10559, 647, 1087, 6670, 11, 6616, 37210, 355, 267, 48435, 7180, 20404, 1241, 22385, 2030, 2746, 142832, 68947, 6433, 1527, 1580, 11595, 2030, 647, 1087, 1775, 9176, 7997, 38130, 5676, 2694, 91970, 78571, 27277, 34368, 97035, 37633, 47650, 126, 241, 11, 773, 7937, 5016, 613, 11, 647, 1087, 11042, 1659, 2694, 5363, 72, 23647, 15082, 732, 4697, 15843, 258, 35363, 15843, 265, 285, 2030, 34542, 2055, 59380, 86, 79748, 1536, 3647, 331, 56400, 408, 198, 6639, 22837, 510, 9991, 198, 3004, 331, 9692, 198, 16208, 198, 665, 22837, 198, 15560, 198, 14679, 77, 198, 36, 198, 3262, 1859, 70667, 198, 54370, 45288, 291, 12643, 198, 57, 355, 36772, 39264, 1531, 70336, 481, 86913, 77094, 291, 304, 2694, 62724, 4894, 74909, 30632, 56027, 9338, 4592, 35, 198, 57, 324, 46307, 12, 4592, 35, 39264, 1531, 12412, 510, 71, 1268, 30632, 56027, 9338, 4592, 35, 472, 38809, 198, 74909, 30632, 56027, 9338, 3533, 9913, 1579, 54834, 14410, 32030, 4894, 42074, 22163, 331, 1944, 71968, 2746, 84506, 36964, 2694, 62724, 5699, 45258, 30, 15687, 22163, 331, 1944, 53835, 11, 572, 458, 21185, 850, 17739, 362, 2024, 2305, 28421, 71968, 17058, 3660, 19972, 4087, 68412, 30, 45481, 137845, 25, 34711, 2030, 7659, 1268, 10938, 66238, 16111, 2340, 9913, 11496, 13279, 6975, 304, 2694, 137194, 267, 6712, 13, 37210, 404, 65, 28853, 13279, 6975, 21506, 73061, 23873, 15843, 258, 35363, 31, 90763, 2285, 0, 151643, 17360, 4116, 54459, 9820, 11615, 84409, 11, 2746, 12962, 55499, 3371, 43908, 4079, 86, 5186, 67, 6433, 16642, 79303, 7364, 25180, 6772, 458, 11, 2714, 84952, 1859, 7219, 79913, 14785, 1147, 360, 27277, 11, 14948, 2694, 330, 39, 615, 2694, 431, 17707, 1, 502, 336, 1127, 17312, 6250, 30155, 2185, 10890, 2660, 13, 19000, 68573, 77556, 773, 11, 13368, 22075, 2694, 10304, 40460, 732, 74074, 14047, 42153, 2717, 58881, 13, 42616, 16111, 12304, 75130, 11, 8896, 2746, 425, 823, 5186, 13920, 2185, 2694, 512, 258, 86, 2844, 97920, 17739, 11615, 84409, 47332, 1536, 896, 457, 55248, 18520, 69, 610, 53899, 3145, 458, 4370, 46646, 11, 10928, 22075, 2694, 48158, 4531, 17739, 41083, 54049, 939, 330, 39, 615, 77, 2694, 431, 17707, 1, 6538, 39804, 35669, 59421, 2694, 1863, 332, 54913, 1640, 74074, 72170, 30288, 344, 5436, 79, 615, 83, 30179, 68573, 13, 48682, 70, 20005, 425, 14412, 34271, 2185, 25, 758, 36744, 5699, 2305, 65, 6433, 25714, 72101, 58065, 8495, 12412, 8793, 15244, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]