postgrammar/london-llm-1800 · Datasets at Hugging Face

input_ids listlengths 2.05k 2.05k	attention_mask listlengths 2.05k 2.05k
[ 40, 19, 422, 19, 6778, 62, 4986, 24124, 28063, 880, 719, 359, 65, 35, 2230, 734, 381, 76, 67, 89, 14, 490, 16473, 83, 320, 13160, 2173, 1531, 5776, 67, 56, 13455, 19, 6615, 566, 88, 19, 519, 16924, 17, 2257, 94, 611, 1255, 17, 20381, 19, 22051, 24613, 17, 1663, 452, 266, 16854, 10896, 360, 456, 1203, 768, 756, 320, 372, 4038, 57, 48, 4036, 14966, 3784, 23020, 395, 11124, 2188, 50, 4557, 439, 6191, 10134, 56, 273, 323, 2645, 12, 50, 9137, 41, 46, 465, 307, 1672, 18060, 7405, 14966, 456, 409, 15786, 456, 539, 13163, 5325, 372, 928, 1832, 6449, 713, 566, 422, 9854, 355, 931, 4557, 655, 770, 397, 893, 4557, 56, 611, 23219, 14966, 770, 50, 743, 13160, 409, 12, 50, 893, 7705, 796, 397, 3968, 41, 388, 15227, 62, 6730, 2645, 2861, 923, 770, 409, 12, 25236, 3384, 45, 5235, 866, 22259, 882, 53, 7687, 397, 4278, 51, 988, 337, 10784, 14966, 399, 60, 11652, 5019, 968, 416, 1411, 2770, 10696, 691, 49, 855, 9157, 579, 1701, 11, 6409, 39, 931, 820, 5701, 1864, 1531, 6540, 56, 14966, 23380, 12, 56, 388, 1411, 6494, 752, 4045, 28678, 19323, 439, 395, 10896, 19, 1478, 10896, 19, 1771, 10896, 19, 2130, 10896, 19, 1331, 10896, 19, 1478, 10896, 19, 2554, 10896, 19, 1352, 10896, 19, 2130, 10896, 19, 1771, 10896, 19, 1478, 10896, 19, 2130, 10896, 19, 2130, 10896, 19, 2130, 10896, 19, 541, 10896, 19, 820, 10896, 19, 1471, 10896, 17, 370, 4900, 6158, 273, 2256, 372, 842, 288, 263, 1521, 3132, 11481, 806, 17, 864, 266, 4116, 1423, 273, 5184, 17, 11662, 4498, 17, 31457, 17, 335, 1047, 268, 352, 17, 289, 12356, 7463, 305, 7843, 17, 1265, 263, 951, 340, 266, 31397, 273, 819, 791, 18, 333, 3554, 8197, 19, 1006, 3605, 9306, 273, 20055, 426, 5765, 263, 1934, 6748, 343, 461, 4305, 525, 1156, 5411, 2407, 503, 288, 266, 9273, 289, 1836, 273, 384, 16598, 657, 273, 1401, 17, 289, 2919, 11031, 503, 343, 9754, 20455, 1120, 289, 1066, 18, 75, 406, 19242, 4560, 19, 1298, 525, 3523, 7341, 811, 20474, 17, 11224, 17, 26193, 19, 758, 4898, 49, 719, 87, 18, 320, 393, 7, 87, 99, 12, 7993, 456, 87, 1862, 456, 89, 99, 18, 320, 456, 2425, 734, 456, 79, 17, 641, 328, 99, 758, 573, 18, 2517, 99, 4704, 13223, 33, 734, 393, 67, 10793, 67, 490, 4704, 302, 67, 807, 354, 3302, 715, 62, 4916, 16935, 12411, 12, 56, 13455, 19, 9241, 1999, 24613, 419, 27, 2912, 2608, 561, 14, 3551, 9648, 22915, 6301, 5811, 9124, 17, 1663, 20921, 25422, 17, 5856, 611, 1255, 17, 2767, 19, 319, 2827, 4271, 19, 573, 5612, 1181, 4737, 8645, 312, 320, 531, 12614, 1190, 312, 23842, 9993, 1950, 7019, 2425, 312, 226, 28991, 59, 47, 598, 88, 19, 354, 439, 88, 19, 566, 72, 2993, 2767, 19, 579, 7, 312, 5914, 2467, 2726, 55, 5019, 754, 27706, 337, 393, 573, 44, 19989, 691, 39, 36, 439, 6963, 416, 10784, 579, 465, 465, 4704, 72, 885, 4252, 18, 2422, 5872, 465, 1544, 439, 337, 758, 2780, 35, 2780, 67, 91, 521, 67, 8353, 89, 33, 9285, 56, 67, 8, 14566, 2021, 19, 620, 354, 384, 5045, 413, 270, 701, 1172, 354, 331, 2766, 617, 273, 31835, 1429, 17, 339, 426, 2070, 439, 2761, 5349, 486, 701, 679, 94, 368, 20790, 1949, 17, 358, 90, 511, 331, 347, 2774, 447, 1052, 90, 5068, 19, 10576, 19, 263, 498, 90, 287, 27, 78, 2780, 2259, 8550, 2780, 2780, 288, 4525, 263, 1104, 1092, 263, 6212, 273, 16484, 339, 598, 76, 463, 3669, 289, 9673, 398, 756, 7, 6374, 2873, 311, 948, 18, 91, 1239, 19, 5759, 31, 3523, 7341, 811, 20474, 17, 11224, 17, 353, 1250, 40, 2861, 5811, 62, 19, 19345, 13946, 21476, 812, 838, 770, 22164, 8645, 273, 403, 2675, 19, 754, 78, 226, 89, 226, 89, 226, 89, 226, 89, 320, 21129, 23549, 1297, 1998, 6543, 1222, 19, 395, 12, 15348, 552, 3801, 9522, 1297, 1998, 6543, 1222, 19, 439, 370, 5117, 94, 593, 289, 3706, 5101, 1297, 1998, 6543, 1222, 19, 465, 5081, 22692, 273, 5081, 72, 5154, 1297, 1998, 6543, 1222, 19, 539, 1118, 23698, 3030, 1297, 1998, 6543, 1222, 19, 566, 26958, 595, 24475, 1297, 1998, 6543, 1222, 19, 655, 2346, 22264, 517, 26964, 1297, 5808, 273, 456, 1058, 17112, 756, 611, 6296, 273, 266, 11570, 1297, 5808, 273, 456, 1058, 17112, 756, 743, 370, 15653, 362, 91, 440, 1297, 5808, 273, 456, 9721, 17112, 756, 796, 28721, 31, 263, 31326, 1297, 5808, 273, 456, 9721, 17112, 756, 923, 3062, 21776, 1297, 2316, 19, 9697, 435, 305, 19, 866, 23842, 525, 263, 31326, 1297, 2316, 19, 9697, 435, 305, 19, 988, 4024, 1139, 9422, 1297, 5808, 273, 456, 1058, 17112, 756, 718, 319, 416, 308, 288, 263, 17001, 1297, 2256, 372, 842, 19, 855, 6576, 355, 12470, 1297, 2256, 372, 842, 19, 820, 10309, 14142, 269, 6736, 1297, 2256, 372, 842, 19, 752, 370, 409, 12, 16105, 22350, 564, 1297, 2256, 372, 842, 3551, 9648, 439, 56, 561, 5418, 16450, 25847, 38, 19, 541, 12619, 3004, 1297, 2256, 372, 842, 19, 885, 370, 19712, 281, 273, 16224, 72, 414, 1297, 2256, 372, 842, 19, 1115, 21795, 966, 81, 273, 870, 8177, 1297, 2256, 372, 842, 19, 1288, 1087, 14745, 513, 10788, 92, 1297, 2256, 372, 842, 19, 1331, 319, 7212, 517, 416, 616, 1297, 2256, 372, 842, 19, 1387, 2240, 273, 29471, 1297, 2256, 372, 842, 19, 1348, 3086, 273, 266, 25103, 1297, 3287, 22077, 19, 1329, 620, 597, 306, 263, 15866, 1297, 7223, 372, 1003, 19, 1478, 4385, 318, 5607, 289, 22199, 839, 1297, 7223, 372, 1003, 19, 1499, 19549, 371, 2073, 28255, 1297, 12356, 7463, 305, 7843, 19, 1471, 370, 3363, 834, 82, 1690, 1297, 12356, 7463, 305, 7843, 19, 1516, 5258, 12492, 1297, 12356, 7463, 305, 7843, 19, 1352, 370, 579, 699, 840, 1297, 12356, 7463, 305, 7843, 19, 1646, 3062, 29382, 1222, 1297, 12356, 7463, 305, 7843, 19, 1902, 416, 15324, 10860, 1297, 12356, 7463, 305, 7843, 19, 1945, 23600, 273, 452, 19865, 1297, 12356, 7463, 305, 7843, 19, 2023, 2823, 18290, 1297, 12356, 7463, 305, 7843, 19, 15437, 422, 3551, 9648, 439, 56, 19, 566, 73, 19, 1742, 5418, 16450, 25847, 38, 19, 1297, 13160, 6253, 5776, 19, 1981, 2256, 409, 12, 50, 296, 1222, 2061, 370, 397, 2744, 662, 2124, 7611, 273, 399, 14218, 587, 2095, 370, 397, 9503, 11570, 1818, 3630, 2090, 6985, 14392, 273, 456, 52, 2168, 7, 1771, 3019, 275, 4148, 6465, 83, 3356, 22307, 489, 17354, 462, 2087, 3996, 914, 273, 5758, 12, 6874, 2159, 15421, 10598, 1147, 352, 1297, 3100, 2771, 715, 62, 4916, 16935, 12411, 19, 2130, 1325, 1222, 12729, 2310, 2154, 2324, 1198, 76, 463, 1732, 36, 2609, 1203, 10486, 403, 1472, 2626, 620, 579, 22106, 357, 363, 8005, 2554, 12682, 266, 31429, 2757, 8993, 335, 3903, 2220, 370, 2650, 359, 2703, 4842, 3934, 859, 26159, 1298, 31, 3523, 7341, 1500, 20474, 17, 11224, 17, 26193, 19, 1987, 446, 33, 6, 490, 320, 573, 67, 5774, 67, 490, 393, 11, 393, 2780, 24614, 490, 320, 393, 67, 271, 67, 490, 573, 393, 67, 263, 3642, 490, 282, 67, 5018, 20912, 18, 78, 393, 67, 92, 2517, 734, 4132, 4704, 68, 2780, 33, 78, 490, 573, 393, 68, 79, 36, 33, 734, 1987, 99, 67, 521, 720, 2517, 490, 1012, 18, 75, 349, 19851, 3829, 893, 348, 6789, 2827, 4424, 770, 21148, 1500, 770, 27129, 1584, 2923, 348, 57, 399, 19, 422, 19, 6778, 62, 4986, 24124, 28063, 1313, 273, 598, 73, 876, 30847, 3101, 1972, 598, 1364, 24516, 1972, 598, 13817, 1004, 94, 1477, 1972, 4059, 19, 5449, 24613, 5759, 19787, 50, 6688, 17, 20749, 17, 1500, 2651, 19, 13983, 14051, 8121, 1832, 266, 3920, 16624, 281, 288, 266, 3970, 17, 537, 544, 598, 598, 266, 7351, 289, 266, 6499, 11353, 306, 790, 17, 1398, 4456, 289, 27351, 7907, 3758, 19, 1142, 331, 341, 288, 266, 1432, 354, 266, 2343, 5933, 17, 1488, 18544, 331, 30747, 360, 266, 30294, 5698, 273, 4841, 289, 2328, 17, 544, 1280, 426, 15964, 289, 24945, 2414, 289, 293, 10197, 19, 19952, 363, 497, 2686, 4261, 273, 2125, 1455, 32, 289, 357, 536, 263, 459, 21736, 340, 421, 1094, 17, 18904, 266, 9679, 273, 266, 11789, 350, 266, 619, 4776, 27817, 273, 266, 2063, 19, 598, 29540, 350, 835, 27378, 273, 3785, 517, 449, 12791, 17, 370, 6414, 3678, 3785, 577, 23870, 288, 835, 1355, 299, 32, 801, 7896, 12, 74, 476, 266, 23496, 339, 536, 6431, 273, 12914, 17, 3932, 17, 7896, 12, 74, 476, 266, 23496, 350, 266, 271, 7824, 18, 2556, 275, 276, 411, 73, 15700, 1425, 8983, 266, 1403, 6017, 2893, 681, 13199, 1493, 5926, 1351, 343, 263, 1156, 11427, 12, 9679, 17, 266, 1313, 544, 398, 426, 2601, 288, 4117, 19, 1675, 357, 2137, 467, 544, 8749, 791, 289, 16957, 354, 289, 339, 266, 24443, 3920, 17, 594, 729, 536, 2555, 551, 27992, 17, 571, 306, 27224, 30084, 289, 9073, 12986, 360, 266, 1217, 339, 18137, 279, 551, 288, 551, 378, 8608, 2427, 11705, 19, 4670, 13193, 54, 39, 312, 19, 13336, 2651, 1584, 931, 446, 320, 1615, 19, 770, 6730, 3133, 14875, 541, 2619, 19, 770, 23706, 56, 10069, 11791, 5776, 17491, 1945, 2889, 19, 598, 15066, 46, 10134, 38, 598, 4842, 529, 19, 7381, 40, 1531, 348, 17277, 60, 931, 446, 3897, 4033, 19, 770, 7986, 9746, 348, 5617, 446, 5029, 5723, 19, 10836, 2129, 1500, 318, 2861, 41, 1531, 7252, 5663, 19, 770, 27620, 7473, 6797, 19, 385, 5961, 3185, 9470, 19, 1067, 19, 7542, 7643, 31469, 58, 5970, 8887, 9416, 19, 26742, 38, 10145, 1980, 6730, 2645, 2861, 446, 10106, 9832, 19, 26742, 38, 10145, 1980, 4902, 26231, 446, 10538, 11995, 19, 770, 21091, 2857, 9660, 19, 2362, 17603, 7065, 6730, 16555, 2362, 6191, 5325, 9527, 4806, 19, 26564, 1637, 12411, 1500, 10347, 7542, 1495, 11114, 11136, 12449, 19, 4013, 44, 8855, 11448, 15416, 19, 5418, 4509, 13312, 10750, 11985, 19, 770, 2481, 8475, 57, 5514, 4045, 43, 24259, 10183, 16515, 19, 397, 10252, 1237, 13826, 12984, 3098, 19, 397, 6710, 51, 1742, 770, 23218, 11545, 20397, 19, 18053, 13871, 19852, 19, 770, 385, 2965, 3783, 13870, 24267, 19, 598, 2481, 3553, 10347, 598, 14323, 22061, 19, 11911, 8828, 9854, 14687, 11605, 19, 598, 397, 2593, 2827, 16845, 2636, 598, 15205, 24819, 19, 598, 388, 6419, 78, 2480, 715, 598, 15946, 17886, 19, 7999, 7412, 1500, 403, 14827, 15956, 30370, 19, 598, 770, 318, 2861, 24062, 385, 16062, 598, 16727, 19851, 3829, 893, 348, 6789, 2827, 32, 4424, 17, 770, 21148, 1500, 770, 27129, 1584, 2923, 19, 4670, 312, 19, 13336, 2651, 1584, 931, 19, 358, 4438, 380, 450, 863, 517, 497, 22384, 11165, 734, 459, 1175, 721, 265, 517, 288, 263, 6637, 734, 266, 8868, 517, 5922, 39, 9055, 490, 598, 328, 715, 6066, 7764, 2651, 1584, 931, 598, 490, 21935, 4818, 1742, 770, 319, 2467, 490, 319, 14638, 25411, 8828, 19164, 57, 490, 719, 355, 18574, 25302, 15748, 598, 1500, 10540, 6417, 41, 348, 6831, 19, 24582, 2409, 347, 424, 1326, 273, 4352, 17, 289, 350, 452, 637, 24796, 19800, 17, 424, 11516, 18, 13835, 662, 413, 441, 263, 1437, 18, 4239, 4239, 685, 3901, 701, 452, 19, 29436, 27485, 17, 10931, 7457, 27485, 288, 637, 19809, 17, 4589, 17, 289, 13436, 17, 341, 331, 441, 266, 9849, 273, 637, 6420, 339, 12152, 540, 288, 637, 887, 3295, 374, 452, 17, 289, 864, 637, 24197, 23584, 11754, 419, 2202, 288, 17464, 985, 5799, 424, 426, 1386, 15290, 273, 266, 1106, 1468, 333, 1630, 288, 637, 6239, 853, 424, 3669, 1638, 3548, 490, 339, 331, 17, 7851, 424, 426, 263, 11069, 517, 2758, 4172, 490, 293, 21293, 3939, 407, 637, 16345, 17, 289, 15322, 1384, 266, 1079, 273, 637, 887, 2138, 18, 10986, 17, 16668, 637, 1216, 4341, 280, 464, 281, 805, 266, 1934, 545, 273, 2356, 17, 1074, 22036, 407, 12355, 297, 637, 660, 17501, 88, 890, 610, 266, 1347, 273, 7336, 17, 1654, 266, 13770, 26616, 863, 17, 590, 77, 493, 374, 637, 5741, 2380, 17, 26128, 384, 31687, 14367, 17, 289, 350, 263, 8466, 340, 384, 20170, 339, 357, 331, 398, 347, 424, 413, 17, 448, 3016, 281, 384, 13668, 350, 263, 8936, 17, 448, 1440, 3993, 339, 288, 266, 3578, 341, 536, 1849, 263 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15536, 490, 4134, 561, 339, 598, 15484, 331, 511, 319, 395, 10572, 348, 6789, 2827, 19, 8720, 17, 289, 537, 413, 817, 21897, 354, 441, 537, 331, 497, 8720, 864, 263, 6519, 288, 263, 1738, 5051, 807, 598, 578, 363, 441, 998, 7275, 339, 17, 1322, 5164, 28523, 610, 637, 25394, 517, 9447, 490, 343, 17, 12882, 807, 263, 1509, 273, 1298, 295, 9641, 1363, 306, 22252, 288, 17, 3285, 701, 3285, 17, 878, 6203, 263, 4321, 5515, 293, 11309, 288, 266, 8054, 490, 916, 7176, 1384, 17, 748, 17, 610, 637, 25394, 517, 31660, 17, 347, 357, 6377, 341, 17, 424, 475, 9933, 360, 358, 2606, 818, 1260, 16303, 294, 8782, 17, 1488, 3418, 424, 457, 4331, 2247, 12503, 384, 2498, 381, 6319, 339, 598, 358, 1106, 1810, 363, 263, 7061, 265, 12, 7985, 1972, 3085, 273, 339, 580, 25964, 1486, 863, 470, 17, 343, 557, 969, 602, 341, 331, 1725, 293, 1054, 3041, 17, 536, 1563, 637, 316, 3722, 293, 358, 3904, 17, 289, 637, 2811, 293, 263, 6852, 19, 20741, 763, 339, 288, 951, 273, 266, 4700, 3221, 273, 3002, 22052, 369, 424, 1754, 347, 706, 6164, 293, 637, 1947, 289, 1578, 17, 424, 942, 1265, 4352, 27935, 288, 511, 273, 266, 817, 29520, 12996, 2047, 288, 369, 1493, 4733, 772, 18, 330, 683, 14671, 341, 5594, 293, 9298, 1474, 17, 289, 2402, 360, 266, 16303, 294, 8782, 17, 8515, 17, 470, 24169, 1738, 540, 288, 1309, 18, 2121, 314, 3350, 7973, 273, 637, 7244, 18048, 17, 347, 598, 263, 8594, 7089, 17, 263, 12944, 7089, 17, 263, 20833, 7089, 17, 368, 263, 7089, 293, 776, 293, 266, 13606, 288, 11370, 424, 12255, 293, 9943, 343, 598, 266, 1410, 424, 2902, 2144, 1972, 289, 475, 5137, 339, 598, 266, 1810, 347, 11771, 340, 540, 998, 1105, 457, 3559, 343, 263, 1156, 2453, 12, 24431, 293, 266, 620, 493, 1425, 22684, 595, 289, 1881, 17, 614, 23792, 336, 3270, 363, 890, 748, 288, 13209, 807, 1979, 263, 24197, 23584, 807, 1582, 28130, 293, 306, 2585, 288, 2524, 289, 3357, 25980, 490, 1108, 23792, 336, 3270, 17, 692, 263, 912, 491, 17, 331, 2099, 601, 8045, 594, 16310, 490, 441, 1101, 497, 2187, 9021, 293, 511, 273, 731, 8048, 1921, 17, 21877, 17, 31025, 3446, 18, 1078, 8131, 7896, 909, 339, 728, 266, 3450, 338, 273, 266, 8597, 10248, 516, 2102, 650, 384, 5443, 19, 741, 1101, 23792, 336, 3270, 363, 441, 17255, 1693, 266, 13509, 369, 357, 6873, 989, 407, 266, 2138, 18, 80, 654, 384, 11754, 17, 358, 13509, 369, 288, 1122, 7026, 23011, 6358, 602, 263, 25394, 517, 19065, 637, 18734, 18, 22183, 293, 16860, 4417, 17, 289, 30739, 266, 4841, 17, 1230, 341, 28665, 266, 6466, 17, 273, 266, 3735, 610, 819, 278, 451, 289, 6850, 339, 736, 730, 266, 9238, 273, 4073, 19, 30137, 266, 7865, 413, 1245, 19, 2158, 540, 17, 1230, 424, 413, 288, 24197, 23584, 8350, 17, 1077, 1146, 273, 358, 1106, 1468, 333, 25573, 17, 289, 11708, 610, 637, 2403, 266, 667, 388, 520, 595, 273, 7416, 265, 17, 3765, 13336, 2651, 1584, 931, 19, 439, 19008, 289, 1304, 17, 350, 658, 22315, 412, 676, 289, 3482, 17, 448, 347, 293, 306, 17, 864, 266, 4385, 15996, 517, 2783, 17, 598, 288, 667, 2450, 374, 1527, 1425, 2158, 540, 740, 273, 452, 1220, 263, 15299, 88, 15256, 9899, 374, 2316, 26511, 7907, 517, 1477, 288, 25272, 9251, 17, 511, 273, 266, 1498, 3295, 17, 360, 266, 1151, 17, 293, 306, 457, 288, 1298, 343, 1658, 368, 2441, 19, 987, 8678, 341, 791, 17, 398, 448, 817, 969, 3326, 17, 815, 505, 343, 511, 273, 731, 606, 5206, 1064, 369, 7197, 1404, 891, 598, 263, 12196, 1972, 441, 369, 1233, 288, 2298, 1073, 17, 3359, 6978, 3291, 347, 791, 347, 25573, 3548, 17, 26088, 598, 263, 18629, 1425, 991, 540, 17954, 2340, 2456, 266, 18675, 6039, 266, 6082, 74, 17, 341, 2779, 266, 2298, 7038, 273, 22460, 673, 19, 388, 342, 650, 8201, 17, 29377, 7009, 18, 11270, 1056, 17, 864, 266, 29869, 1042, 11470, 5669, 4470, 17, 21296, 266, 4480, 289, 9369, 6288, 17, 890, 293, 266, 1416, 18, 3211, 1738, 266, 8314, 17, 339, 1761, 13362, 263, 3746, 16619, 268, 1183, 3262, 79, 3361, 340, 263, 7479, 10468, 7622, 4004, 419, 77, 3675, 17, 864, 5926, 17, 1362, 706, 2710, 360, 14754, 18, 5020, 853, 22954, 14521, 490, 2919, 273, 835, 22779, 2703, 289, 4167, 19288, 17, 441, 1035, 17, 2434, 94, 17, 791, 18, 77, 1485, 2126, 649, 9212, 17, 350, 915, 285, 662, 273, 16596, 552, 340, 266, 30396, 490, 15890, 2406, 1271, 17, 289, 2369, 11142, 1271, 17, 5112, 266, 6713, 268, 350, 7973, 398, 8114, 14473, 2029, 350, 16168, 19, 2667, 266, 24377, 297, 339, 363, 293, 3472, 266, 28583, 293, 266, 4993, 28956, 273, 421, 11709, 24115, 17, 273, 369, 266, 11599, 4617, 526, 942, 761, 441, 266, 10316, 354, 767, 263, 18966, 10639, 17, 24359, 94, 31048, 341, 363, 17, 497, 2606, 12191, 26753, 293, 339, 2639, 4560, 17, 407, 369, 266, 7081, 1319, 363, 3940, 1225, 2319, 360, 521, 19524, 440, 289, 6177, 18, 4508, 6315, 19, 12234, 289, 24105, 17, 749, 300, 12735, 273, 6850, 17, 3190, 17, 368, 25714, 26610, 17, 289, 266, 11533, 273, 263, 7334, 26479, 10329, 17, 350, 263, 5051, 728, 340, 1959, 293, 306, 946, 23590, 360, 803, 514, 7103, 17, 306, 285, 80, 1275, 266, 5666, 273, 263, 3289, 2635, 17, 289, 5531, 724, 9376, 288, 1706, 19016, 17, 350, 22145, 4397, 17, 478, 7295, 295, 2647, 829, 505, 266, 6002, 805, 263, 2767, 17, 398, 273, 2503, 4979, 17, 441, 273, 2764, 18, 19253, 17, 3544, 263, 23331, 29138, 273, 7221, 9755, 9002, 17, 22517, 1437, 9814, 2219, 374, 681, 31712, 288, 1365, 4251, 19, 2024, 2710, 424, 1446, 293, 1326, 658, 23230, 1757, 347, 424, 671, 389, 4728, 2340, 293, 637, 4447, 13919, 807, 441, 1493, 348, 603, 1819, 17, 637, 15163, 14885, 350, 266, 606, 1432, 17, 470, 5217, 293, 452, 266, 1498, 2450, 17, 925, 266, 2429, 273, 384, 15107, 17, 3136, 14592, 3459, 1320, 17, 28958, 540, 467, 3641, 2235, 1362, 1437, 448, 2710, 7985, 17, 289, 339, 357, 9367, 1904, 347, 4455, 465, 10572, 348, 6789, 2827, 19, 9002, 17, 289, 4397, 1904, 347, 27406, 1574, 17, 374, 266, 912, 4634, 654, 288, 10561, 9251, 289, 13667, 3774, 2938, 17, 293, 369, 890, 424, 942, 776, 641, 424, 14941, 19, 319, 13851, 5422, 807, 424, 3641, 2235, 2051, 263, 1104, 273, 341, 19, 7263, 1374, 17, 994, 540, 1362, 374, 339, 1477, 288, 266, 2671, 676, 273, 1105, 19, 9464, 289, 1579, 17, 407, 20006, 1719, 293, 30688, 17, 407, 266, 5354, 72, 1875, 21571, 266, 4480, 293, 266, 8741, 2783, 18, 72, 661, 9553, 5385, 263, 26629, 273, 7253, 374, 266, 1551, 17, 3022, 518, 289, 2729, 83, 2259, 3187, 10422, 19, 9600, 341, 398, 343, 266, 9191, 8266, 273, 266, 12015, 1851, 3539, 17, 424, 942, 347, 791, 306, 288, 266, 2714, 3509, 1293, 19, 1162, 331, 17, 424, 11566, 17, 263, 2853, 288, 3573, 17, 441, 729, 536, 3559, 293, 598, 2155, 266, 11974, 1972, 289, 641, 577, 426, 1280, 29707, 343, 263, 1542, 18, 3211, 17, 772, 331, 266, 676, 293, 306, 5722, 350, 835, 22548, 6746, 17, 289, 293, 280, 643, 6502, 339, 577, 413, 398, 9944, 1605, 18, 2871, 289, 12189, 17, 1791, 18, 3939, 17, 2042, 517, 3939, 17, 289, 972, 18, 3939, 17, 13502, 17, 18581, 17, 289, 284, 2179, 17, 343, 339, 8354, 30164, 6503, 273, 448, 338, 289, 19941, 2330, 1651, 17, 7140, 17, 4350, 286, 1594, 17, 289, 8814, 19, 1162, 331, 263, 23806, 297, 505, 288, 819, 2253, 1477, 288, 266, 4480, 354, 289, 12015, 288, 2470, 7760, 17, 350, 2406, 18, 87, 2815, 10047, 297, 660, 273, 461, 283, 534, 685, 226, 89, 6147, 417, 17, 289, 8617, 524, 2818, 16052, 350, 4925, 18, 29543, 17, 289, 10007, 1178, 273, 3289, 972, 17, 1089, 293, 306, 266, 668, 3300, 273, 421, 13108, 5424, 17, 289, 890, 467, 413, 598, 1007, 1881, 289, 3028, 1425, 4969, 289, 985, 1553, 413, 266, 7482, 13238, 288, 731, 6870, 273, 369, 29523, 9485, 417, 598, 1738, 266, 8314, 598, 649, 10198, 448, 293, 1611, 263, 10533, 354, 289, 266, 601, 4206, 17, 18821, 6147, 17, 819, 6446, 273, 598, 434, 17, 3527, 793, 288, 12595, 18738, 273, 15187, 339, 619, 668, 306, 2402, 347, 273, 339, 1895, 5259, 293, 21583, 17, 369, 532, 1233, 891, 598, 21877, 94, 1425, 4075, 597, 306, 288, 1298, 288, 266, 7275, 320, 2152, 2316, 26511, 7907, 17, 2878, 17, 641, 729, 942, 306, 6993, 354, 289, 2148, 729, 457, 4683, 421, 3335, 289, 26077, 2126, 12854, 17, 350, 452, 556, 278, 1993, 8572, 17, 6738, 88, 17, 289, 679, 324, 684, 1050, 17, 448, 791, 2402, 288, 266, 22926, 17, 441, 263, 1511, 676, 17, 289, 363, 398, 266, 316, 1463, 273, 339, 598, 313, 13935, 273, 5810, 4057, 598, 424, 426, 26515, 1226, 419, 11657, 279, 17, 266, 4112, 400, 273, 339, 3225, 536, 1712, 496, 21416, 1907, 505, 667, 5329, 273, 14072, 374, 20567, 14, 354, 1101, 2316, 26511, 7907, 1021, 8929, 273, 2441, 17, 289, 692, 2136, 293, 555, 767, 729, 14941, 17, 457, 16957, 5240, 3913, 17, 551, 21606, 17, 551, 3051, 5875, 17, 289, 551, 2126, 293, 266, 3272, 17, 774, 17, 17255, 1693, 266, 13509, 343, 6207, 348, 22, 62, 2651, 1584, 931, 19, 539, 339, 536, 6371, 20760, 1797, 336, 3270, 293, 266, 9027, 17, 729, 363, 2412, 311, 2018, 6317, 266, 3655, 9181, 10892, 273, 266, 17138, 17, 289, 29150, 551, 2109, 350, 266, 2183, 18, 4936, 800, 339, 11348, 818, 805, 556, 14086, 9479, 19, 2553, 1156, 969, 426, 14056, 1712, 266, 4691, 1715, 951, 369, 424, 856, 5409, 293, 7560, 354, 441, 266, 1706, 18015, 273, 637, 3607, 2452, 912, 350, 266, 17515, 273, 676, 17, 1108, 266, 2138, 1518, 1077, 556, 18538, 1019, 1280, 289, 24105, 594, 266, 1985, 536, 496, 17761, 4455, 9998, 407, 266, 2901, 18, 7901, 343, 263, 11069, 368, 448, 17, 289, 266, 732, 4494, 571, 306, 10480, 584, 1845, 945, 1843, 266, 2717, 273, 2924, 347, 339, 369, 424, 413, 793, 293, 9021, 350, 266, 26135, 17, 24429, 3057, 17, 289, 13779, 273, 266, 606, 1542, 18, 3211, 288, 25272, 9251, 19, 4128, 17, 424, 806, 7105, 263, 2298, 3958, 517, 945, 17, 681, 263, 945, 347, 288, 637, 3607, 424, 4836, 3244, 1654, 3958, 536, 791, 18, 83, 693, 1140, 951, 293, 7275, 17, 441, 369, 17, 594, 341, 1518, 1340, 17, 331, 2358, 8555, 343, 19, 307, 1642, 273, 6420, 807, 263, 2298, 1845, 945, 288, 1396, 17, 864, 263, 3293, 5955, 1512, 19489, 17, 27412, 8531, 19, 3380, 17, 424, 806, 7105, 511, 273, 658, 3457, 17, 3201, 17, 8613, 18, 17824, 1476, 17, 1585, 1111, 3251, 289, 7140, 94, 25274, 17, 441, 3244, 530, 2719, 10226, 340, 266, 6637, 289, 23161, 9479, 17, 498, 797, 482, 818, 360, 266, 13993, 17, 289, 13307, 347, 4849, 347, 3196, 19, 319, 2138, 18, 23253, 4285, 295, 1839, 551, 5466, 340, 266, 2008, 17, 289, 748, 3345, 1056, 727, 95, 829, 1718, 17, 347, 641, 729, 1111, 363, 347, 749, 6117, 293, 776, 293, 3992, 347, 21573, 2731, 1178, 6597, 273, 300, 643, 1899, 17, 11561, 17, 6210, 17, 289, 1595, 26057, 17, 350, 461, 8741, 17853, 17, 289, 461, 4535, 452, 1738, 266, 7691, 19, 1162, 331, 263, 3251, 373, 2492, 1843, 266, 1257, 17, 289, 266, 1706, 3295, 273, 709, 318, 2604, 265, 517, 1089, 293, 17370, 289, 11348, 310, 288, 266, 2732, 17, 3361, 293, 2138, 686, 263, 11386, 3319, 273, 4783, 661, 597, 1077, 511, 6407, 511, 825, 8817, 7109, 266, 4469, 3272, 273, 2143, 19, 8240, 414, 17, 288, 731, 606, 3295, 17, 1233, 413, 284, 14685, 17, 289, 3522, 9622, 17, 289, 23704, 4740, 24225, 339, 5860, 461, 7920, 350, 263, 976, 1706, 7140, 273, 263, 12347, 5515, 293, 452, 4247, 2992, 19, 370, 2065, 505, 18, 24629, 413, 5746, 793, 288, 10262, 708, 18, 2489, 1019, 17, 2895, 557, 13754, 602, 2875, 17, 350, 263, 5556, 31068, 340, 461, 912, 788, 569, 18, 3065, 13566, 17, 289, 266, 8867, 6288, 413, 13108, 17, 4766, 360, 266, 895, 2918 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 297, 2244, 18, 20288, 17, 289, 266, 5027, 18, 1271, 10373, 11974, 288, 461, 23634, 31908, 19, 10055, 566, 10572, 348, 6789, 2827, 19, 2595, 615, 277, 331, 537, 263, 4550, 273, 692, 4972, 354, 289, 16996, 18, 19448, 17, 11398, 17, 25756, 94, 17, 289, 19941, 874, 17, 452, 413, 288, 30395, 343, 266, 15747, 273, 25739, 30581, 17, 20445, 864, 23898, 11537, 293, 266, 22938, 6376, 19, 578, 363, 340, 1159, 681, 263, 945, 347, 421, 339, 2316, 26511, 7907, 790, 341, 4440, 2510, 293, 598, 15669, 266, 5838, 1425, 319, 5883, 368, 448, 407, 266, 4952, 17, 339, 5838, 363, 6651, 2969, 297, 17, 27798, 360, 266, 11260, 2582, 273, 551, 11454, 2256, 17, 4720, 1116, 598, 27294, 265, 1601, 821, 1972, 289, 556, 4037, 13472, 17, 263, 1845, 4687, 273, 266, 4666, 598, 31295, 1972, 470, 2878, 457, 263, 2285, 1103, 17, 289, 2099, 263, 6513, 2979, 298, 17, 441, 457, 10067, 1072, 15878, 708, 266, 448, 9196, 9642, 273, 598, 30935, 4508, 765, 1972, 360, 369, 14895, 2271, 357, 363, 7647, 360, 2005, 289, 2790, 17, 4808, 289, 17833, 17, 6000, 5926, 289, 803, 2949, 23111, 17, 2456, 817, 263, 5883, 273, 2138, 18, 10986, 17, 505, 289, 1110, 407, 709, 318, 2604, 265, 517, 19, 598, 370, 1874, 1770, 2032, 17, 5631, 2256, 1972, 781, 30935, 4508, 765, 17, 1280, 289, 24105, 21527, 266, 14297, 1384, 517, 5834, 1738, 350, 511, 1217, 19, 598, 3864, 2235, 624, 7118, 17, 17105, 490, 3641, 2235, 624, 2731, 17, 2823, 29412, 354, 341, 598, 88, 398, 835, 2811, 339, 3329, 551, 8523, 1425, 741, 787, 357, 25024, 266, 1035, 17, 1559, 1217, 17, 289, 3227, 293, 1362, 660, 28499, 19, 531, 4117, 2316, 26511, 7907, 6507, 505, 551, 12513, 380, 17, 289, 396, 9752, 551, 4694, 354, 288, 4117, 729, 5525, 551, 7791, 3822, 17, 740, 288, 511, 29519, 2328, 17, 748, 288, 1208, 32, 729, 825, 398, 598, 359, 326, 266, 5838, 1972, 289, 266, 1649, 363, 2790, 2414, 19, 2316, 26511, 7907, 517, 2811, 363, 339, 273, 263, 3213, 470, 457, 452, 551, 1073, 496, 598, 263, 1845, 2853, 1972, 289, 363, 772, 2895, 2722, 18353, 354, 3361, 551, 3071, 289, 668, 1357, 17, 598, 29412, 1972, 266, 2241, 427, 273, 266, 732, 18152, 17, 457, 441, 1159, 3638, 374, 339, 1638, 594, 266, 5933, 7231, 293, 1699, 275, 660, 610, 266, 2853, 17, 289, 266, 2187, 17, 300, 1332, 94, 3822, 17, 398, 878, 263, 3060, 2344, 293, 1720, 17, 331, 7028, 347, 6000, 347, 263, 23288, 21849, 17, 289, 347, 2942, 347, 556, 887, 18966, 10639, 1784, 28161, 19, 12385, 289, 3071, 475, 441, 912, 7286, 17, 4766, 288, 461, 3620, 289, 1582, 23620, 5702, 273, 3418, 490, 497, 10511, 11051, 288, 339, 6907, 369, 331, 2895, 21805, 17, 2147, 708, 8701, 17, 293, 10103, 556, 2531, 288, 1111, 995, 263, 10533, 19, 2316, 26511, 7907, 13336, 2651, 1584, 931, 19, 655, 363, 2094, 289, 3190, 273, 16106, 17, 350, 23091, 1956, 2109, 17, 289, 263, 2431, 1895, 17, 749, 30550, 360, 266, 2732, 19, 2152, 601, 7334, 288, 19412, 17, 441, 1035, 289, 4480, 273, 5935, 17, 791, 18, 75, 2017, 660, 3928, 360, 263, 828, 10527, 17, 263, 828, 13631, 17, 289, 17, 1108, 5542, 289, 1596, 2976, 17, 263, 828, 2295, 19, 29412, 17, 340, 266, 3502, 17, 350, 551, 785, 13641, 2109, 17, 551, 1335, 851, 2094, 15983, 14387, 17, 289, 7081, 18, 10189, 4397, 17, 363, 448, 2187, 273, 5935, 289, 6000, 273, 11572, 347, 293, 7892, 551, 2511, 517, 4408, 7145, 343, 551, 2308, 354, 398, 339, 537, 363, 584, 2298, 1677, 343, 8265, 17, 441, 22108, 6631, 293, 16890, 2265, 17, 641, 398, 793, 598, 2997, 29412, 1972, 793, 2922, 4640, 293, 551, 32, 289, 17503, 658, 17, 457, 263, 4408, 5990, 273, 604, 552, 288, 266, 25454, 289, 2798, 471, 3560, 273, 3060, 1178, 598, 27294, 265, 1601, 821, 1425, 598, 2451, 17, 1601, 821, 17, 567, 887, 2997, 4530, 1972, 419, 23270, 579, 19, 363, 601, 5995, 273, 1601, 821, 3258, 598, 312, 761, 577, 806, 306, 805, 18, 725, 1036, 6502, 490, 1561, 448, 2686, 343, 5430, 27858, 19, 614, 30935, 4508, 765, 17, 2469, 3641, 2235, 994, 503, 8201, 448, 1733, 1425, 598, 19964, 1141, 17, 15107, 1972, 363, 1601, 821, 517, 11714, 334, 308, 5152, 19, 598, 60, 4345, 1654, 424, 2155, 551, 1154, 1738, 350, 266, 8680, 354, 424, 598, 2071, 1077, 551, 2223, 293, 341, 17, 5900, 2235, 424, 17, 30935, 4508, 765, 814, 598, 598, 22003, 17, 5631, 2256, 1972, 781, 266, 521, 5653, 7704, 17, 598, 312, 1326, 347, 577, 289, 476, 825, 6412, 551, 1154, 708, 17, 4455, 15287, 17, 490, 762, 9352, 17, 424, 306, 2343, 450, 836, 343, 676, 17, 289, 266, 945, 598, 88, 1493, 1101, 1425, 598, 29412, 17, 29412, 807, 598, 4887, 7593, 2316, 26511, 7907, 17, 598, 1362, 374, 266, 24017, 1159, 2719, 339, 25296, 490, 266, 449, 6819, 17, 767, 598, 88, 556, 1103, 17, 424, 475, 4801, 793, 10002, 19, 1601, 821, 17, 273, 1509, 577, 426, 7794, 19, 312, 856, 1538, 306, 4050, 293, 2155, 263, 25055, 27809, 759, 343, 577, 17, 29412, 1425, 598, 3932, 497, 17, 15339, 22108, 1972, 781, 266, 1493, 5933, 17, 288, 551, 3756, 17, 3620, 3418, 17, 369, 1465, 6484, 30935, 4508, 765, 517, 2109, 17, 288, 5075, 1178, 7973, 17, 293, 551, 2005, 6445, 19, 598, 312, 825, 1066, 2110, 350, 584, 511, 441, 577, 354, 289, 748, 729, 942, 306, 2752, 17, 22108, 17, 289, 312, 694, 11175, 551, 448, 701, 577, 807, 598, 741, 29412, 1715, 551, 2511, 517, 671, 4280, 17, 27167, 18, 76, 8829, 1217, 1007, 551, 887, 17, 289, 3399, 505, 288, 551, 2361, 350, 681, 263, 5995, 17, 11364, 3270, 297, 4244, 17, 339, 341, 363, 497, 3711, 22108, 295, 2630, 340, 551, 17, 289, 30935, 4508, 765, 289, 598, 27294, 265, 1601, 821, 598, 1111, 19, 611, 10572, 348, 6789, 2827, 19, 2316, 26511, 7907, 363, 511, 273, 731, 1233, 1488, 1628, 31664, 427, 6551, 806, 426, 263, 1137, 1287, 273, 3710, 28428, 293, 8807, 1720, 19, 5318, 263, 6152, 17, 12174, 2853, 17, 729, 363, 10931, 3908, 490, 339, 331, 293, 1080, 17, 3928, 692, 263, 828, 31556, 17, 24742, 443, 17, 10350, 1592, 1548, 17, 289, 7544, 279, 961, 268, 17, 729, 457, 263, 1156, 5575, 17, 398, 601, 3839, 17, 650, 2355, 2353, 17, 263, 10669, 2246, 273, 3605, 6714, 17, 1353, 13951, 8299, 289, 10899, 2758, 17, 350, 263, 798, 31255, 273, 266, 598, 1389, 440, 17, 289, 1137, 15053, 4339, 13644, 17, 369, 17, 641, 1769, 564, 279, 293, 2786, 17, 597, 426, 728, 551, 263, 706, 4139, 14983, 2241, 427, 343, 263, 1605, 25351, 291, 19, 1663, 658, 5698, 17, 289, 551, 20052, 17, 6152, 2295, 17, 729, 5182, 29412, 6024, 3913, 354, 289, 641, 266, 1493, 3213, 363, 398, 1904, 448, 3748, 347, 575, 273, 551, 19371, 17, 729, 2686, 374, 1874, 266, 2930, 273, 263, 2511, 517, 8492, 2725, 289, 2753, 636, 17, 289, 363, 347, 1005, 2947, 347, 2167, 407, 339, 706, 14611, 4687, 273, 29798, 17, 358, 1512, 5933, 470, 536, 1909, 551, 1578, 340, 339, 273, 263, 1784, 27809, 759, 19, 2316, 26511, 7907, 457, 3559, 925, 551, 5033, 273, 8439, 288, 551, 4318, 17, 289, 692, 273, 263, 5800, 360, 497, 1341, 24274, 308, 17, 363, 1582, 3874, 708, 5700, 602, 3590, 19, 987, 555, 398, 3694, 729, 4284, 551, 740, 1658, 525, 424, 1734, 641, 3312, 1440, 555, 17, 1746, 288, 30417, 354, 289, 266, 1916, 614, 579, 19, 363, 263, 3437, 273, 358, 10316, 2878, 557, 9040, 602, 15045, 19, 1057, 6466, 475, 12223, 289, 7767, 17, 441, 384, 1103, 374, 266, 1551, 273, 263, 4394, 363, 27663, 530, 19, 370, 3213, 2803, 26839, 357, 22660, 279, 289, 5900, 363, 1106, 2414, 293, 761, 551, 887, 1374, 354, 1074, 426, 424, 1649, 293, 3694, 441, 339, 288, 8520, 503, 729, 5207, 3913, 19, 4625, 263, 785, 1105, 467, 293, 2319, 289, 596, 11321, 17, 289, 1106, 26511, 7907, 3646, 5083, 293, 2959, 17, 1108, 357, 1066, 4822, 384, 3634, 293, 384, 2484, 354, 289, 2316, 26511, 7907, 8607, 551, 27361, 2408, 288, 21351, 1036, 1527, 819, 1924, 969, 2032, 289, 2032, 1843, 598, 1364, 2357, 9138, 1425, 3549, 998, 1477, 441, 511, 363, 288, 5550, 8351, 483, 17, 289, 748, 1106, 26511, 7907, 1291, 263, 25055, 12841, 293, 384, 2959, 17, 728, 263, 6481, 374, 21045, 369, 8848, 503, 557, 8283, 602, 637, 13654, 5575, 619, 1220, 288, 17, 289, 20598, 503, 293, 8312, 339, 12854, 288, 25272, 9251, 369, 3399, 448, 6627, 288, 266, 7275, 17, 1930, 2316, 26511, 7907, 374, 1527, 13336, 2651, 1584, 931, 19, 743, 340, 266, 29360, 729, 457, 452, 551, 1073, 496, 8773, 297, 293, 5470, 354, 490, 1940, 729, 363, 13243, 594, 729, 2975, 537, 19, 7003, 339, 571, 306, 17, 266, 28194, 8868, 1076, 1988, 912, 360, 384, 1069, 5715, 17, 4766, 263, 26077, 17241, 4640, 293, 341, 288, 263, 7755, 1791, 17, 288, 369, 384, 3044, 475, 1538, 701, 8183, 17, 289, 263, 26048, 17, 2931, 289, 498, 7908, 1157, 347, 384, 887, 7767, 4544, 17, 5316, 293, 384, 4988, 360, 384, 1098, 662, 6035, 8055, 19, 2024, 1098, 662, 6035, 729, 363, 17, 2042, 2853, 807, 343, 263, 676, 17, 350, 551, 13283, 1455, 525, 441, 748, 551, 2955, 11859, 17, 29412, 17, 363, 1314, 32, 289, 551, 1916, 3718, 17, 347, 266, 706, 9449, 1670, 273, 384, 5067, 289, 9789, 17, 20919, 266, 1079, 273, 384, 2992, 17, 4247, 289, 3590, 17, 293, 384, 791, 18, 7758, 15865, 2484, 17, 448, 266, 6642, 363, 293, 263, 1137, 2252, 17384, 17, 289, 2316, 26511, 7907, 3399, 29639, 23684, 289, 17907, 890, 288, 551, 16805, 19, 2451, 17, 341, 331, 601, 6152, 289, 7018, 293, 426, 263, 1035, 2992, 1314, 577, 374, 835, 887, 12838, 17, 557, 2147, 594, 577, 413, 6452, 350, 263, 1357, 340, 1289, 577, 295, 1942, 17, 293, 2750, 577, 594, 577, 426, 497, 2032, 1665, 343, 11709, 11859, 354, 289, 17, 288, 266, 2109, 273, 266, 1432, 17, 421, 363, 2316, 26511, 7907, 517, 6643, 6746, 19, 370, 2109, 273, 266, 1432, 17, 347, 2875, 17, 825, 398, 1362, 610, 266, 6123, 10986, 774, 266, 16010, 363, 32, 441, 637, 2042, 8055, 17, 368, 1582, 637, 2431, 8055, 17, 363, 749, 7512, 30585, 360, 266, 4659, 369, 497, 511, 3145, 3048, 293, 1707, 19, 370, 1343, 331, 17, 1106, 614, 26511, 7907, 457, 263, 4552, 89, 24870, 19, 7556, 263, 2431, 491, 17, 357, 457, 263, 1245, 293, 263, 7818, 354, 441, 357, 363, 263, 7413, 17, 4447, 1106, 3537, 17, 289, 357, 13071, 1076, 350, 511, 19, 2451, 17, 421, 4552, 89, 24870, 363, 266, 31312, 5891, 339, 357, 17, 1058, 26511, 7907, 17, 363, 266, 1805, 296, 4576, 10151, 273, 511, 273, 266, 14391, 5802, 288, 1396, 19, 2024, 357, 1566, 293, 426, 2555, 266, 1106, 9068, 6186, 289, 2304, 17, 368, 762, 341, 5543, 339, 681, 263, 8209, 9263, 694, 426, 1407, 1260, 288, 384, 887, 1410, 347, 22910, 10325, 293, 263, 1035, 2142, 25299, 18, 3211, 17, 357, 1066, 11959, 1076, 293, 9943, 354, 357, 363, 5722, 339, 266, 14391, 1630, 288, 2356, 993, 11576, 925, 384, 6239, 17, 289, 350, 266, 26484, 357, 2740, 1076, 293, 1611, 419, 1820, 556, 9010, 475, 11058, 14088, 853, 357, 942, 8978, 1289, 357, 5207, 19, 908, 424, 426, 1359, 17, 796, 10572, 348, 6789, 2827, 19, 357, 1008, 8978, 263, 601, 1410, 530, 3213, 32, 441, 17, 12882, 6, 729, 1923, 503, 497, 4576, 7333, 19, 5036, 263, 4122, 6212, 17, 452, 384, 12817, 17, 452, 384, 6103, 325, 3057, 17, 452, 384, 2441, 17, 597, 398, 5976, 266, 2126, 1103, 293, 266, 6633, 2328, 357, 4697, 556, 2655, 19, 620, 825, 398, 2834, 266, 3017, 273, 341, 32, 289, 357, 1066, 3293, 6631, 2042, 29412, 1437, 448, 749, 347, 339, 22654, 1357, 11623, 19, 1360, 452, 4550, 273, 263, 1600, 363, 13501, 17, 357, 5503, 293, 2345, 505, 289, 3163, 412, 384, 668, 2498, 517, 28715, 1357, 17, 263, 5955, 912, 4530, 17, 1488, 1564, 11043, 289, 31207, 1805, 4295, 5900, 266, 1106, 491, 517, 1883, 407, 266, 740, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 598, 27294, 265, 1601, 821, 1972, 288, 2819, 17, 2171, 358, 15203, 412, 273, 266, 26511, 7907, 2126, 17, 289, 363, 2902, 2740, 360, 10029, 293, 306, 266, 8960, 2498, 273, 4455, 912, 29412, 19, 1773, 12658, 17, 1055, 17, 475, 2413, 263, 2671, 2917, 32, 289, 266, 2065, 3048, 347, 912, 347, 2065, 1683, 555, 273, 461, 3220, 15636, 17, 368, 266, 3879, 10664, 279, 660, 343, 500, 925, 1073, 19, 1663, 452, 384, 16393, 3141, 17, 1106, 26511, 7907, 363, 263, 828, 17, 1245, 18, 779, 11110, 491, 354, 289, 2148, 341, 331, 637, 5891, 339, 357, 2279, 5113, 289, 4755, 1386, 27444, 523, 11366, 17, 357, 8629, 360, 4109, 6024, 293, 384, 2484, 17, 288, 551, 887, 1120, 17, 347, 357, 1104, 279, 341, 17, 598, 288, 6532, 273, 384, 9789, 343, 551, 1401, 17, 289, 5067, 288, 551, 3919, 1972, 490, 4331, 3088, 297, 407, 551, 263, 5206, 5440, 339, 729, 597, 13149, 15980, 625, 266, 9636, 273, 551, 4841, 293, 384, 11454, 17, 694, 266, 3501, 4489, 293, 28679, 791, 17, 289, 864, 263, 3437, 490, 2325, 263, 7036, 343, 29412, 374, 551, 887, 12038, 17, 441, 398, 8335, 511, 18, 28355, 273, 266, 1079, 9964, 2992, 19, 370, 21688, 1008, 398, 785, 21681, 384, 7001, 7710, 19, 741, 1108, 551, 5440, 2715, 384, 8055, 817, 263, 3992, 1178, 1761, 17, 729, 1066, 31423, 273, 8633, 341, 17, 1074, 273, 12228, 297, 551, 23303, 1357, 374, 266, 5299, 273, 551, 11454, 19, 2316, 26511, 7907, 363, 263, 2853, 452, 805, 17, 289, 424, 544, 398, 1080, 266, 3017, 273, 17619, 266, 667, 8756, 914, 457, 398, 3330, 551, 1374, 354, 340, 266, 3502, 17, 1633, 505, 1744, 347, 467, 475, 17, 729, 5317, 12577, 421, 17840, 367, 347, 263, 10286, 16456, 407, 551, 9824, 635, 1007, 2742, 289, 10363, 19, 1764, 363, 17, 3928, 17, 601, 5995, 273, 598, 40, 423, 265, 1601, 821, 20, 289, 3399, 14491, 13336, 2651, 1584, 931, 19, 923, 3099, 293, 266, 945, 594, 729, 942, 959, 421, 598, 11249, 10372, 1972, 347, 729, 1116, 500, 17, 6589, 4284, 289, 5556, 19, 1663, 452, 658, 1958, 6319, 17, 341, 331, 497, 3711, 339, 2316, 26511, 7907, 17, 470, 17, 1108, 263, 12704, 1384, 17, 363, 358, 28814, 1300, 2853, 17, 825, 1066, 1904, 1077, 505, 551, 1374, 293, 2160, 551, 544, 19, 578, 363, 263, 1351, 273, 266, 2955, 3141, 354, 448, 740, 729, 728, 341, 17, 289, 748, 23276, 341, 505, 17, 289, 748, 7240, 263, 3289, 511, 17, 369, 729, 8611, 293, 1834, 1925, 1631, 475, 557, 1137, 17, 289, 13149, 1530, 19267, 354, 1230, 17, 288, 266, 15832, 17, 29412, 289, 598, 27294, 265, 1601, 821, 598, 475, 5430, 505, 293, 339, 1947, 374, 369, 1493, 1233, 17, 557, 2147, 288, 3708, 273, 1658, 18, 17824, 17, 413, 4455, 18850, 311, 3650, 293, 426, 263, 544, 273, 461, 887, 19, 370, 29254, 21713, 463, 17, 1055, 17, 363, 511, 273, 731, 1493, 4733, 288, 1488, 4535, 368, 5285, 266, 3017, 273, 4628, 331, 668, 15567, 347, 263, 7654, 9291, 17, 289, 263, 18190, 9487, 293, 263, 1073, 273, 10099, 490, 288, 749, 266, 732, 1319, 347, 339, 288, 369, 266, 9586, 1964, 6801, 4276, 8871, 367, 2719, 266, 9643, 19, 620, 14675, 341, 293, 306, 266, 1330, 6746, 273, 6120, 17, 441, 339, 341, 571, 306, 14602, 311, 28670, 350, 263, 912, 16763, 386, 677, 17, 289, 288, 575, 1334, 273, 2990, 828, 5376, 890, 1644, 2396, 4049, 19, 578, 331, 4142, 293, 4586, 374, 767, 358, 2093, 1947, 266, 1441, 28228, 273, 266, 13953, 2898, 1474, 288, 2065, 19, 7761, 2823, 619, 2996, 271, 13026, 794, 729, 9719, 263, 8953, 17, 369, 729, 6377, 551, 23735, 17, 289, 340, 369, 729, 13139, 4985, 749, 24603, 1461, 17, 398, 878, 1137, 15586, 15308, 19, 1937, 551, 7070, 4318, 17, 266, 8898, 3017, 273, 2484, 289, 2511, 3026, 331, 5609, 293, 551, 1374, 354, 289, 293, 306, 4284, 17, 1108, 729, 5791, 398, 767, 341, 331, 17, 347, 1978, 289, 14948, 263, 18462, 347, 293, 2110, 5555, 289, 426, 263, 27809, 759, 19, 6987, 5631, 17, 340, 266, 3502, 17, 536, 497, 3017, 273, 692, 263, 15810, 3389, 2854, 19, 1057, 7440, 273, 692, 5546, 505, 331, 8114, 26751, 350, 1477, 27697, 19, 1360, 598, 357, 331, 263, 491, 17, 357, 1341, 293, 306, 263, 7391, 17, 368, 263, 21353, 17, 368, 263, 4964, 884, 1786, 621, 734, 357, 544, 426, 263, 4482, 289, 24922, 17, 289, 776, 452, 945, 293, 266, 13606, 17, 289, 4248, 347, 749, 347, 357, 3176, 1915, 17, 289, 4531, 2842, 3935, 864, 22627, 15263, 441, 293, 2345, 505, 2065, 273, 384, 887, 17, 289, 2933, 288, 511, 951, 17, 331, 266, 601, 998, 1770, 357, 12924, 273, 19, 598, 27294, 265, 320, 395, 10572, 348, 6789, 2827, 19, 1601, 821, 598, 7658, 266, 2875, 10212, 273, 384, 1187, 19, 6429, 358, 28715, 17, 357, 457, 1066, 1563, 266, 1922, 273, 263, 7867, 490, 7354, 289, 15107, 26511, 7907, 14793, 503, 350, 347, 1187, 289, 5962, 8444, 263, 1846, 289, 2511, 347, 263, 8130, 2229, 912, 4530, 825, 3254, 19, 741, 2148, 357, 457, 384, 26277, 17807, 17, 681, 347, 16652, 407, 29412, 17, 2985, 293, 2411, 17, 692, 309, 7295, 1643, 293, 384, 22738, 594, 537, 17, 289, 1278, 28480, 818, 925, 339, 14611, 961, 17, 266, 4346, 17275, 32, 1101, 17, 4049, 17, 384, 1073, 363, 347, 3874, 347, 584, 532, 1357, 517, 273, 384, 887, 1947, 17, 340, 1289, 2308, 17, 289, 1658, 17, 289, 8929, 457, 17553, 407, 266, 945, 273, 556, 4707, 19, 1682, 1509, 17, 1106, 1058, 26511, 7907, 1308, 503, 293, 19960, 17, 339, 706, 31207, 273, 5507, 17, 774, 1601, 821, 12949, 293, 13285, 490, 497, 1960, 19372, 354, 3638, 374, 749, 7199, 288, 384, 598, 5321, 351, 18, 27697, 12, 289, 598, 77, 12191, 293, 266, 1837, 1972, 347, 17, 1847, 17, 357, 11623, 17, 343, 266, 3404, 273, 3351, 357, 17159, 288, 266, 3886, 273, 1496, 22492, 354, 363, 5182, 293, 598, 6446, 358, 21302, 598, 288, 263, 2579, 369, 266, 1298, 972, 1271, 8247, 4440, 20658, 5668, 354, 289, 5835, 263, 4438, 1047, 273, 3294, 297, 12287, 610, 13480, 2686, 1512, 17, 350, 263, 4607, 24687, 343, 266, 5575, 17, 5157, 17, 13385, 17, 289, 12658, 273, 339, 2589, 311, 21503, 19, 1682, 1509, 17, 1111, 17, 357, 363, 10076, 343, 266, 2638, 19, 1663, 384, 15636, 17, 288, 767, 532, 3672, 825, 357, 2155, 925, 384, 10539, 17, 289, 9025, 3437, 3065, 5157, 273, 24069, 288, 767, 331, 6741, 828, 3495, 320, 3834, 26511, 7907, 6370, 293, 1077, 384, 11454, 263, 3437, 490, 339, 363, 341, 19, 1360, 3471, 762, 1601, 821, 363, 6675, 340, 374, 19960, 17, 289, 767, 357, 12949, 537, 17, 266, 7354, 8854, 4028, 17, 598, 1118, 1382, 17, 3504, 807, 3243, 17, 357, 598, 2071, 2110, 293, 306, 263, 3437, 1425, 578, 331, 263, 1351, 343, 13049, 1740, 266, 4037, 8868, 363, 4374, 273, 4259, 358, 1984, 347, 293, 266, 4530, 517, 2969, 288, 421, 1617, 3886, 17, 368, 1740, 357, 363, 1076, 263, 601, 828, 4261, 273, 266, 3194, 357, 448, 749, 12303, 19, 3661, 887, 3017, 331, 17, 339, 2699, 4707, 17, 1074, 11351, 17, 1074, 4379, 17, 1074, 1578, 17, 12828, 293, 8900, 263, 3437, 354, 289, 339, 3873, 413, 293, 306, 790, 374, 266, 8903, 17, 266, 638, 303, 17, 289, 266, 343, 394, 17, 288, 266, 9731, 17, 289, 794, 266, 17747, 17, 347, 791, 347, 288, 266, 4647, 517, 5638, 18, 5042, 17, 266, 3748, 20108, 17, 289, 266, 7293, 2313, 1720, 19, 991, 637, 13336, 2651, 1584, 931, 19, 988, 6407, 17, 263, 3437, 331, 24618, 17, 8229, 17, 7525, 17, 289, 995, 30448, 818, 490, 918, 412, 1843, 266, 2948, 17, 289, 3200, 18, 29403, 15991, 3544, 266, 1559, 19, 3427, 18, 16778, 289, 498, 717, 450, 17, 598, 357, 1518, 293, 1324, 347, 357, 597, 467, 694, 555, 2428, 503, 1972, 289, 3876, 11121, 407, 266, 1960, 759, 273, 2782, 2930, 273, 384, 3154, 17, 491, 368, 2853, 17, 2139, 368, 11839, 17, 347, 357, 597, 407, 266, 3894, 22584, 273, 16787, 558, 17, 14667, 8155, 17, 14031, 17, 368, 584, 532, 1956, 18640, 1608, 19, 598, 13481, 788, 324, 905, 17621, 4788, 2549, 598, 490, 357, 536, 263, 598, 8407, 517, 6333, 350, 263, 2853, 517, 1347, 14614, 289, 681, 263, 511, 17, 306, 357, 288, 263, 15302, 517, 19016, 368, 263, 8903, 863, 517, 798, 5760, 490, 1551, 297, 794, 384, 5144, 368, 1749, 851, 343, 384, 3436, 490, 424, 14671, 263, 601, 5024, 438, 343, 27912, 490, 263, 601, 28942, 343, 828, 13406, 289, 828, 2468, 19, 987, 413, 1106, 26912, 1108, 288, 637, 5575, 17, 289, 7149, 637, 7741, 571, 306, 15577, 2817, 3955, 360, 266, 1493, 17, 289, 8299, 360, 266, 606, 19, 7191, 17, 890, 658, 15592, 3760, 597, 17, 424, 1326, 17, 426, 496, 5722, 350, 598, 27294, 265, 1601, 821, 517, 598, 6950, 293, 306, 2243, 263, 598, 3437, 1425, 5582, 457, 496, 21780, 350, 1106, 26511, 7907, 17, 289, 457, 728, 503, 511, 273, 551, 887, 6596, 19, 2152, 452, 266, 5507, 288, 2356, 825, 426, 24133, 368, 5850, 503, 288, 339, 1617, 19, 741, 384, 3332, 19751, 517, 3213, 3619, 421, 4431, 17, 350, 452, 263, 2853, 517, 10180, 1767, 463, 16947, 17, 266, 601, 740, 3225, 357, 6473, 374, 266, 26318, 273, 339, 21563, 2327, 356, 859, 17, 470, 3317, 1493, 4733, 273, 5022, 969, 289, 4920, 343, 1072, 266, 20888, 289, 452, 266, 20108, 19, 598, 1979, 555, 577, 1326, 273, 266, 1069, 8941, 17, 567, 2997, 320, 598, 781, 614, 1006, 6387, 722, 293, 384, 2484, 490, 263, 15757, 517, 3071, 17, 497, 1122, 807, 490, 347, 357, 6484, 505, 266, 2013, 607, 733, 6522, 85, 1192, 293, 1808, 266, 5275, 273, 384, 1761, 11699, 19, 598, 620, 363, 263, 3235, 3501, 17, 312, 2663, 17, 374, 19960, 19, 312, 596, 7669, 424, 856, 426, 575, 4939, 350, 503, 1425, 598, 2152, 263, 3678, 273, 341, 1972, 363, 266, 5152, 354, 598, 357, 331, 263, 3437, 819, 3904, 273, 503, 19, 312, 2144, 341, 374, 1527, 360, 266, 1151, 357, 17519, 6919, 288, 350, 384, 2842, 863, 390, 1303, 19, 348, 11121, 17, 273, 1509, 17, 363, 660, 273, 266, 1151, 17, 490, 289, 339, 23839, 476, 17, 614, 1006, 6387, 722, 17, 577, 1066, 2242, 437, 2223, 293, 339, 491, 17, 490, 767, 598, 88, 266, 1146, 273, 1021, 263, 441, 1950, 320, 741, 748, 17, 357, 598, 88, 681, 263, 9240, 828, 18, 11201, 4530, 490, 441, 312, 26517, 352, 577, 598, 269, 1437, 13808, 1906, 1425, 968, 19851, 3829, 893, 348, 6789, 2827, 19, 741, 17, 2585, 2414, 17, 2398, 4633, 1006, 6387, 722, 363, 26373, 263, 11517, 289, 1084, 1491, 4414, 414, 19, 2316, 1006, 6387, 722, 790, 497, 1665, 293, 804, 427, 551, 3884, 8303, 354, 289, 1601, 821, 363, 772, 27184, 384, 3958, 6325, 367, 350, 2316, 26511, 7907, 374, 709, 318, 2604, 265, 517, 19, 987, 426, 1314, 266, 2635, 448, 785, 288, 461, 5838, 17, 339, 467, 426, 457, 7791, 676, 293, 598, 15669, 598, 368, 8132, 551, 19, 10564, 273, 658, 4691, 17, 1055, 17, 1715, 951, 354, 289, 701, 21527, 1738, 263, 18699, 11561, 17, 358, 7823, 2920, 17, 601, 15586, 18, 11201, 17, 347, 30935, 4508, 765, 781, 17, 289, 6055, 263, 8458, 4936, 338, 5703, 350, 358, 2776, 288, 263, 1769, 1761, 18, 11699, 17, 470, 702, 15338, 374, 266, 5926, 17, 289, 4191, 500, 598, 1595, 1884, 433, 88, 1972, 467, 3227, 266, 912, 16667, 517, 1154, 1843, 266, 4952, 17, 289, 2782, 598, 266, 8680, 1972, 347, 1601, 821, 457, 4331, 10203, 17, 7631, 1474, 293, 461, 961, 17, 289, 2660, 660, 650, 461, 27252, 288, 263, 3778, 339, 5722, 890, 266, 31295, 17, 289, 574, 430, 15526, 266, 3501, 19, 598, 1979, 263, 2997, 4530, 341, 331, 807, 598, 1353, 2316, 26511, 7907, 17, 347, 729, 3399, 374, 1601, 821, 517, 1564, 6445, 17, 289, 384, 2343, 7081, 1335, 1423, 17, 17761, 793, 384, 2361, 17, 3190, 279, 360, 266, 4172, 293, 263, 2431, 17221, 10671, 17, 289, 815, 505, 350, 266, 8701, 289, 4452, 273, 384 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 961, 19, 4625, 3400, 907, 273, 6742, 8029, 2316, 26511, 7907, 517, 1374, 17, 288, 266, 22046, 273, 339, 5883, 289, 263, 1437, 273, 3908, 972, 369, 11348, 818, 1007, 598, 266, 7154, 74, 598, 289, 266, 4952, 19, 10677, 729, 15600, 551, 1922, 273, 8105, 289, 5157, 273, 7035, 288, 398, 25820, 266, 2269, 12165, 339, 694, 374, 1527, 1077, 339, 5955, 4530, 266, 1154, 273, 384, 2126, 354, 289, 8504, 729, 5503, 339, 398, 1208, 2986, 694, 862, 878, 263, 1310, 22144, 273, 266, 5982, 10357, 17, 598, 3382, 2126, 491, 18, 1038, 18, 10015, 1594, 1972, 289, 263, 2032, 6975, 4961, 18, 1086, 273, 551, 998, 544, 289, 27444, 19, 2667, 729, 7580, 729, 457, 1314, 511, 29365, 17, 339, 597, 1077, 358, 3335, 5363, 26040, 343, 266, 3220, 12165, 354, 748, 729, 19382, 774, 729, 457, 1291, 341, 354, 289, 748, 729, 1353, 767, 263, 3718, 266, 5955, 10683, 597, 1077, 343, 551, 887, 2710, 5933, 354, 289, 5078, 551, 5575, 2733, 981, 532, 17, 1654, 17, 288, 551, 1374, 517, 2287, 17, 729, 2144, 266, 21640, 490, 266, 672, 1234, 16416, 88, 490, 266, 13841, 490, 266, 10376, 734, 289, 17, 1108, 998, 17, 398, 1874, 17, 266, 601, 28161, 17, 398, 1111, 270, 19273, 17, 369, 729, 3913, 694, 6282, 340, 266, 1665, 19, 13336, 2651, 1584, 931, 19, 855, 2152, 511, 1104, 1008, 2316, 26511, 7907, 2663, 273, 263, 785, 18, 92, 9408, 4560, 350, 369, 30935, 4508, 765, 363, 3669, 297, 29412, 289, 1601, 821, 354, 289, 369, 17, 347, 341, 2779, 293, 13143, 5906, 1377, 289, 8445, 288, 384, 1493, 10918, 417, 17, 289, 331, 17, 3928, 17, 263, 2032, 3123, 273, 266, 1196, 13088, 273, 15904, 347, 293, 13206, 584, 10940, 340, 263, 9084, 17, 424, 571, 347, 791, 1243, 17, 347, 1780, 347, 2167, 17, 288, 384, 887, 1758, 19, 598, 3116, 867, 17, 5631, 2256, 320, 598, 781, 266, 828, 18, 17229, 1926, 31295, 17, 288, 2795, 293, 263, 1831, 407, 1733, 18, 5502, 297, 1601, 821, 19, 598, 3116, 867, 814, 2152, 263, 3678, 273, 341, 354, 1074, 1101, 14109, 354, 1074, 577, 2699, 19, 312, 2242, 299, 263, 3678, 278, 29903, 95, 818, 1108, 1527, 18442, 1070, 23157, 19, 578, 598, 88, 263, 828, 817, 969, 2722, 772, 354, 441, 312, 3641, 2235, 1326, 347, 312, 856, 1280, 6102, 341, 19, 1155, 577, 598, 73, 864, 293, 2663, 341, 17, 2823, 29412, 17, 312, 598, 2071, 2150, 341, 577, 17, 347, 791, 347, 312, 619, 19, 2324, 959, 17, 341, 363, 1582, 263, 456, 4577, 456, 407, 3627, 293, 973, 19, 3380, 17, 266, 1343, 331, 17, 312, 457, 3653, 263, 17359, 450, 16667, 601, 1538, 701, 312, 363, 660, 273, 567, 676, 17, 289, 476, 289, 263, 491, 424, 1446, 293, 891, 456, 8947, 4752, 7, 2039, 18894, 288, 551, 17, 289, 2148, 19066, 729, 363, 263, 21733, 1496, 1332, 17, 289, 772, 683, 3259, 343, 1114, 92, 661, 17, 424, 457, 4455, 828, 1721, 350, 551, 594, 266, 792, 480, 25170, 363, 2093, 17, 289, 266, 6910, 4455, 10584, 450, 19, 801, 537, 1066, 363, 497, 2298, 12754, 793, 551, 17, 289, 312, 598, 2071, 2150, 624, 762, 341, 363, 19, 2123, 7354, 17, 357, 6413, 293, 3228, 476, 350, 266, 2441, 343, 551, 273, 263, 9084, 19, 1764, 363, 1291, 650, 266, 17061, 273, 263, 9084, 490, 6624, 836, 273, 263, 9084, 490, 12213, 551, 740, 10936, 273, 263, 9084, 490, 289, 2039, 1110, 273, 263, 9084, 354, 448, 17, 347, 312, 1080, 17, 9084, 598, 88, 266, 7544, 945, 17, 293, 567, 1374, 17, 288, 266, 1079, 2986, 19, 3380, 17, 266, 1215, 1332, 297, 318, 548, 490, 339, 598, 88, 767, 424, 1116, 551, 17, 2823, 490, 1465, 2249, 263, 4172, 24736, 19, 741, 511, 945, 490, 341, 363, 263, 9084, 17, 1111, 490, 476, 289, 567, 16033, 363, 3565, 288, 350, 263, 2343, 450, 14003, 490, 8947, 4752, 357, 781, 452, 2456, 729, 363, 805, 18, 1281, 707, 288, 266, 972, 490, 350, 263, 1319, 13993, 407, 266, 1074, 6249, 14343, 6249, 7901, 17, 289, 266, 8783, 793, 1437, 647, 2027, 547, 17, 347, 341, 942, 306, 772, 19, 312, 457, 1159, 3559, 3099, 293, 1362, 293, 266, 24394, 310, 17, 594, 266, 1985, 4887, 396, 9752, 1245, 340, 266, 532, 24394, 17, 289, 4569, 660, 1110, 17138, 17, 312, 2144, 767, 363, 3565, 19, 4176, 363, 341, 17, 5631, 1601, 821, 814, 2152, 263, 3678, 354, 341, 363, 263, 1706, 511, 354, 289, 312, 3048, 748, 424, 694, 2155, 341, 3201, 289, 4121, 19, 578, 3480, 2922, 4455, 320, 566, 10572, 348, 6789, 2827, 19, 2752, 293, 8462, 275, 476, 17, 441, 312, 887, 312, 21594, 2235, 864, 266, 6683, 273, 341, 19, 3380, 17, 20447, 312, 825, 295, 936, 16992, 1169, 266, 2738, 429, 1715, 551, 19, 1764, 7760, 2089, 17, 289, 1110, 729, 2039, 32, 289, 1108, 476, 289, 8947, 4752, 3558, 360, 343, 263, 4246, 293, 1985, 686, 17, 424, 1066, 3048, 4979, 762, 341, 363, 1654, 424, 790, 4352, 702, 3032, 374, 981, 532, 805, 263, 10197, 21302, 339, 5543, 293, 306, 340, 4026, 594, 729, 1530, 1078, 77, 3714, 17, 343, 452, 266, 1432, 864, 667, 6846, 12203, 374, 959, 18, 88, 1240, 8869, 461, 13478, 1365, 273, 3655, 972, 19, 8947, 4752, 357, 363, 358, 8830, 491, 17, 289, 398, 448, 1559, 347, 476, 354, 448, 594, 312, 2144, 667, 363, 497, 3508, 343, 511, 21302, 17, 312, 1314, 341, 354, 289, 7339, 312, 17, 641, 312, 619, 2155, 836, 567, 3045, 10619, 517, 18689, 289, 575, 273, 567, 8534, 17, 312, 571, 426, 263, 13285, 343, 341, 1101, 19, 598, 370, 2738, 429, 363, 1111, 1538, 805, 293, 2155, 505, 3687, 864, 263, 2138, 17, 289, 8947, 4752, 357, 2054, 340, 293, 384, 21302, 289, 5112, 660, 864, 263, 491, 19, 3380, 17, 767, 1007, 12804, 289, 1545, 4341, 972, 17, 312, 2975, 706, 273, 1631, 2046, 19, 312, 363, 347, 1559, 347, 263, 5931, 748, 17, 289, 1108, 341, 363, 263, 785, 13285, 343, 263, 491, 312, 457, 794, 476, 17, 312, 1066, 2555, 1347, 772, 352, 19, 8947, 4752, 17, 1111, 17, 2413, 340, 1949, 288, 567, 18672, 354, 424, 21594, 2235, 1080, 749, 17, 577, 571, 306, 2585, 17, 441, 312, 761, 1697, 23589, 273, 384, 7077, 315, 289, 1171, 2065, 19, 1174, 998, 312, 2663, 503, 10965, 1904, 916, 6602, 18, 3065, 17, 456, 30935, 4508, 765, 17, 341, 598, 88, 497, 1146, 17, 312, 306, 776, 265, 12, 1110, 772, 807, 456, 741, 594, 312, 3227, 340, 567, 1551, 293, 1362, 374, 503, 357, 363, 1904, 14462, 17, 289, 457, 994, 266, 21302, 2497, 836, 4049, 19, 312, 31189, 2235, 959, 341, 19210, 19, 312, 4781, 293, 2155, 28449, 273, 503, 17, 441, 357, 363, 3559, 19, 312, 2144, 266, 14975, 5133, 1108, 17, 289, 295, 917, 343, 503, 17, 441, 341, 363, 497, 1146, 17, 289, 701, 339, 312, 2054, 340, 2271, 19, 370, 2183, 363, 6675, 1110, 1111, 17, 289, 3305, 268, 21606, 3025, 293, 1340, 610, 567, 1154, 793, 8947, 4752, 19, 8498, 312, 1353, 357, 363, 288, 3028, 748, 17, 289, 1527, 312, 598, 2071, 14357, 312, 2247, 2922, 10965, 293, 476, 17, 441, 312, 31189, 2235, 2150, 767, 341, 781, 19, 370, 24961, 88, 17, 1111, 17, 467, 3025, 293, 1114, 484, 374, 476, 17, 289, 14125, 346, 288, 567, 6601, 354, 511, 785, 18, 18658, 598, 447, 302, 2547, 279, 476, 340, 266, 11426, 17, 289, 343, 263, 3678, 312, 2996, 3048, 1740, 312, 363, 2671, 368, 7124, 2578, 19, 1174, 998, 17, 347, 312, 1566, 805, 266, 14464, 273, 266, 28122, 17, 312, 2144, 266, 580, 593, 288, 266, 8325, 17, 289, 266, 10121, 8137, 374, 709, 318, 2604, 265, 517, 17, 289, 343, 22326, 312, 1353, 312, 694, 2155, 2340, 701, 452, 17, 448, 312, 3227, 340, 567, 1286, 293, 2155, 567, 4042, 263, 3678, 19, 312, 2314, 293, 426, 728, 263, 25296, 17, 347, 312, 13336, 409, 2129, 47, 2745, 51, 19, 752, 6261, 17, 793, 421, 676, 17, 441, 5432, 774, 312, 597, 17, 312, 31189, 2235, 959, 341, 19210, 17, 668, 4569, 1110, 17138, 293, 2155, 567, 22334, 263, 912, 17, 312, 2144, 360, 266, 16667, 374, 10554, 288, 266, 6850, 339, 266, 8783, 363, 340, 266, 1536, 19, 2123, 1347, 504, 3517, 610, 567, 2894, 748, 19, 312, 457, 13473, 263, 5838, 1440, 2414, 1092, 266, 29524, 1070, 26084, 17, 289, 312, 3048, 762, 1559, 341, 6110, 17, 289, 767, 567, 4550, 363, 17, 21487, 17, 289, 1780, 1574, 1111, 19, 4128, 312, 1353, 312, 598, 73, 776, 11497, 1110, 374, 1527, 17, 864, 567, 16033, 1008, 17, 289, 312, 781, 263, 3678, 273, 263, 5307, 17, 1159, 7985, 864, 17, 289, 748, 312, 2707, 8413, 17, 448, 312, 1353, 767, 363, 1498, 293, 306, 1574, 489, 1765, 312, 17, 456, 598, 71, 542, 3231, 456, 772, 331, 637, 668, 4550, 17, 289, 19066, 424, 856, 2155, 15924, 505, 360, 575, 13578, 16667, 17, 368, 681, 864, 17, 20447, 424, 22064, 4612, 660, 293, 2138, 787, 19, 3380, 17, 266, 956, 598, 88, 1226, 452, 17, 289, 1108, 312, 1353, 1527, 368, 5098, 312, 363, 4455, 15287, 660, 273, 567, 1374, 17, 312, 363, 15924, 505, 374, 998, 360, 263, 21248, 19, 2172, 598, 73, 497, 891, 293, 306, 774, 357, 363, 354, 312, 1326, 357, 363, 537, 3398, 17, 441, 312, 3048, 601, 912, 793, 3687, 3145, 17, 343, 312, 363, 288, 266, 4866, 4501, 4382, 20447, 312, 825, 3484, 347, 749, 347, 312, 598, 321, 2464, 577, 19, 2024, 9352, 17, 9084, 598, 88, 358, 28698, 945, 17, 2823, 29412, 17, 577, 571, 1220, 835, 6805, 8016, 273, 341, 1425, 30935, 4508, 765, 1008, 398, 2150, 500, 339, 1437, 384, 14843, 654, 347, 1538, 347, 357, 2975, 791, 2039, 293, 266, 2354, 273, 384, 16033, 517, 8055, 289, 551, 1171, 2065, 354, 1940, 341, 363, 347, 791, 357, 1008, 398, 17, 343, 29412, 517, 2109, 475, 1906, 1365, 273, 5897, 17, 289, 1601, 821, 2707, 557, 602, 1437, 6117, 293, 12084, 266, 6205, 31295, 17, 441, 263, 278, 4280, 1092, 266, 396, 19749, 10499, 452, 461, 28647, 17, 374, 266, 732, 676, 339, 341, 7022, 925, 2316, 26511, 7907, 517, 945, 30363, 2703, 17, 289, 29412, 457, 3940, 2975, 347, 1005, 347, 598, 2762, 424, 413, 17, 22108, 17, 289, 1070, 598, 88, 598, 754, 594, 729, 363, 10004, 360, 27294, 265, 1601, 821, 517, 10165, 9554, 598, 13802, 7124, 17, 15107, 19, 16666, 16038, 807, 954, 29507, 490, 470, 1602, 426, 1353, 341, 36, 1162, 517, 6519, 7249, 265, 456, 4005, 18122, 541, 10572, 348, 6789, 2827, 19, 4670, 1615, 19, 770, 6730, 3133, 14875, 19, 29412, 517, 278, 1993, 6289, 734, 263, 19, 3213, 517, 3213, 517, 18, 16416, 734, 7636, 22479, 7907, 374, 7974, 23038, 734, 3100, 355, 6424, 12, 56, 28200, 490, 770, 598, 7341, 5124, 5469, 1492, 12, 490, 403, 7412, 4013, 770, 337, 9746, 490, 319, 26636, 1742, 10294, 1607, 490, 319, 31682, 2362, 21825, 2965, 422, 21107, 19, 6778, 1701, 2745, 614, 30366, 4005, 11006, 358, 1661, 490, 289, 263, 828, 1559, 1661, 341, 331, 490, 293, 981, 273, 266, 5926, 17, 289, 946, 1404, 500, 6651, 505, 266, 23358, 466, 396, 19749, 17, 994, 540, 1220, 2930, 273, 29412, 517, 4680, 293, 28216, 610, 551, 4455, 2434, 17, 774, 17, 347, 341, 331, 4204, 668, 360, 399, 4675, 17, 266, 7809, 17, 424, 2201, 398, 2596, 266, 6011, 273, 2334, 1415, 274, 347, 263, 6599, 343, 637, 10021, 19, 578, 331, 1847, 263, 3620, 912, 6738, 17, 350, 556, 436, 800, 95, 8253, 654, 289, 1838, 2462, 27700, 17, 556, 1564, 7095, 4569, 650, 266, 8867, 9519, 17, 289, 452, 556, 905, 314, 344, 299, 273, 4144, 810, 13937, 289, 22525, 17, 339, 293, 540, 2042, 1106, 278, 15324, 910, 1089, 266, 601, 14386, 273, 3213, 3065, 5402, 19, 531, 511, 8314, 5120, 266, 1776, 19685, 17, 360, 369, 424, 571, 2438, 266, 4455, 13472, 517, 3670, 17, 374, 1874, 288, 6714, 19, 397, 1802, 10584, 450, 7008, 340, 266, 13298, 10251, 28505, 2414, 17, 347, 641, 467, 457, 398, 1440, 496, 10499, 17, 289, 2148, 18007, 22049, 295, 4838, 17, 475, 441 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4836, 3907, 354, 441, 340, 266, 29496, 17, 962, 339, 1365, 18, 24549, 3196, 17, 263, 1069, 7197, 4632, 650, 556, 2361, 17, 350, 263, 2470, 18, 6083, 344, 7205, 374, 339, 10405, 4229, 774, 266, 5349, 486, 25585, 551, 10717, 419, 265, 12120, 7215, 853, 340, 266, 995, 18, 16778, 3137, 339, 357, 331, 398, 4371, 2042, 293, 2384, 551, 15838, 17, 368, 4371, 7413, 293, 761, 384, 887, 1374, 17, 368, 575, 3359, 18886, 289, 2424, 1427, 81, 12116, 1649, 490, 263, 3683, 343, 266, 4576, 6907, 17, 424, 571, 1515, 574, 862, 427, 17, 339, 331, 557, 1330, 288, 2101, 273, 20055, 602, 288, 2298, 1073, 490, 1230, 340, 266, 3155, 263, 4961, 18, 5042, 13273, 85, 18, 9173, 13924, 273, 1720, 374, 575, 833, 4047, 2946, 5447, 598, 991, 263, 1029, 7324, 6565, 1972, 289, 13206, 17, 598, 7726, 5933, 17, 266, 515, 298, 3242, 23610, 650, 1714, 11043, 1972, 360, 358, 25896, 15811, 17, 470, 8631, 683, 288, 266, 5145, 263, 3280, 5766, 273, 6407, 289, 263, 7197, 3351, 273, 1386, 1512, 1758, 19, 8580, 413, 5525, 288, 511, 368, 667, 1330, 3196, 770, 6730, 3133, 14875, 19, 885, 21417, 17, 350, 263, 2853, 311, 3670, 339, 3329, 266, 11368, 288, 339, 19061, 1477, 864, 263, 2340, 354, 289, 6242, 5555, 17, 273, 266, 3795, 2614, 30273, 1038, 15703, 2411, 17, 777, 19303, 1720, 793, 819, 676, 266, 3539, 13924, 17, 288, 263, 1793, 273, 27351, 7907, 8037, 17, 369, 1372, 12997, 399, 4675, 293, 1990, 3114, 3325, 551, 29870, 273, 263, 951, 339, 331, 598, 452, 273, 263, 20080, 1425, 598, 1764, 619, 2235, 263, 18, 10342, 341, 490, 619, 577, 17, 348, 1848, 226, 89, 598, 798, 328, 771, 266, 1818, 345, 1169, 354, 289, 29412, 517, 2592, 5931, 75, 5228, 17, 266, 23303, 273, 551, 601, 1347, 17, 3329, 358, 7823, 6394, 17, 289, 309, 10971, 384, 5152, 288, 266, 4194, 4871, 273, 598, 355, 2491, 293, 266, 21640, 807, 598, 8633, 836, 18380, 288, 266, 2717, 273, 266, 1342, 1844, 19, 399, 4675, 331, 601, 11024, 17, 343, 729, 331, 7128, 29412, 517, 598, 1631, 293, 5930, 1972, 369, 1341, 339, 729, 331, 4569, 805, 266, 1493, 3213, 517, 8995, 30039, 350, 263, 1505, 293, 19877, 731, 5388, 289, 16812, 706, 5594, 293, 551, 887, 1582, 29458, 16106, 17, 289, 13913, 497, 4125, 273, 1938, 458, 960, 3913, 350, 29412, 517, 25297, 17, 28429, 3598, 17, 4589, 17, 289, 5800, 17, 360, 4801, 551, 3634, 17, 4194, 551, 3070, 17, 289, 788, 8081, 610, 551, 29295, 19, 2451, 17, 399, 4675, 457, 496, 350, 2316, 26511, 7907, 343, 817, 969, 17, 289, 363, 263, 706, 26639, 1410, 354, 448, 551, 9868, 16231, 289, 1353, 19, 16264, 17, 350, 452, 551, 7739, 281, 289, 12609, 17, 729, 363, 5717, 311, 3957, 293, 2823, 29412, 354, 289, 341, 331, 637, 3431, 5891, 339, 729, 6631, 551, 1493, 3213, 17, 288, 551, 1347, 273, 5285, 17, 1698, 602, 551, 519, 4205, 2506, 17, 551, 6982, 17, 368, 890, 263, 1137, 6985, 8779, 19440, 17, 1488, 31427, 2304, 289, 5999, 8299, 455, 457, 728, 497, 2187, 5705, 340, 551, 1111, 15428, 4589, 19, 598, 4835, 6576, 536, 384, 18104, 1972, 641, 357, 289, 729, 619, 668, 1265, 981, 532, 660, 374, 266, 1145, 9825, 2385, 354, 289, 2148, 266, 18104, 288, 1831, 19626, 293, 667, 18, 489, 18, 262, 8704, 17, 363, 360, 497, 1341, 9505, 288, 16106, 17, 289, 457, 11666, 4369, 17, 289, 263, 599, 482, 1736, 18, 7803, 3128, 17, 1101, 729, 363, 497, 4741, 293, 266, 2710, 1299, 273, 1455, 17, 369, 22352, 343, 819, 3194, 273, 637, 1696, 263, 16033, 273, 14078, 2252, 19, 1360, 263, 3213, 23866, 3913, 1887, 2219, 293, 266, 1477, 17, 3723, 2692, 4419, 4452, 17, 289, 985, 12536, 14104, 273, 1924, 21914, 263, 18, 2014, 17, 398, 293, 1860, 1559, 6982, 289, 3201, 441, 3744, 23991, 374, 12715, 1721, 17, 266, 16994, 331, 17, 339, 551, 2308, 544, 3840, 407, 266, 3308, 273, 681, 6013, 27302, 19, 1663, 4785, 1115, 10572, 348, 6789, 2827, 19, 273, 399, 4675, 517, 1814, 17, 266, 2870, 1683, 12618, 293, 266, 5482, 17, 289, 266, 1793, 3047, 8542, 505, 293, 681, 263, 10103, 339, 1561, 1932, 293, 2893, 266, 23957, 4910, 17, 1746, 24767, 14125, 2703, 289, 5013, 27699, 273, 7145, 650, 2187, 289, 1440, 16722, 5661, 19, 399, 4675, 597, 21734, 80, 347, 19711, 293, 15169, 263, 2933, 30153, 347, 2316, 26511, 7907, 597, 426, 1574, 293, 2361, 263, 24743, 8407, 354, 289, 358, 11379, 3096, 350, 584, 2776, 17, 890, 16102, 288, 266, 732, 1477, 17, 363, 6490, 293, 2599, 263, 757, 18403, 273, 5234, 289, 31533, 273, 5478, 17, 5063, 12019, 293, 731, 470, 413, 22623, 350, 266, 6000, 19069, 273, 263, 2298, 3213, 517, 18, 16416, 398, 340, 4026, 8620, 19, 531, 421, 10405, 2191, 17, 2316, 399, 4675, 17, 340, 266, 740, 3225, 273, 551, 5666, 374, 709, 318, 2604, 265, 517, 17, 598, 2975, 263, 4246, 1972, 347, 729, 4141, 341, 17, 369, 12833, 266, 1079, 18462, 273, 551, 701, 1073, 19, 953, 297, 1110, 407, 12866, 551, 3213, 17, 729, 424, 2025, 551, 1151, 17, 347, 2875, 17, 293, 598, 1364, 2434, 1972, 339, 6908, 377, 288, 369, 266, 905, 4423, 4562, 273, 3495, 331, 1005, 557, 10240, 311, 15611, 602, 505, 18, 24629, 17, 289, 293, 369, 598, 671, 1807, 289, 5147, 598, 597, 1265, 341, 1005, 557, 2510, 293, 2885, 266, 4039, 27, 74, 602, 610, 2859, 517, 3886, 368, 598, 16591, 315, 517, 12, 278, 1993, 6289, 19, 1361, 18356, 293, 959, 1561, 557, 10064, 602, 266, 441, 1950, 17, 399, 4675, 517, 7145, 619, 306, 557, 2957, 9321, 602, 2402, 17, 594, 340, 7155, 421, 28583, 11368, 17, 729, 790, 556, 668, 2241, 427, 263, 828, 450, 18, 11201, 17, 22834, 829, 18, 73, 1612, 1493, 491, 17, 598, 2782, 263, 3196, 273, 11685, 552, 289, 263, 28118, 1767, 20, 289, 2325, 1076, 601, 749, 374, 2340, 19, 319, 15708, 14125, 346, 289, 3063, 12657, 273, 7379, 759, 728, 341, 27003, 340, 266, 1069, 5666, 293, 7224, 1076, 17, 289, 360, 266, 676, 467, 457, 2975, 293, 598, 4538, 759, 807, 762, 577, 19678, 476, 17, 3504, 1972, 289, 598, 13490, 2823, 17, 312, 1253, 263, 2525, 6509, 654, 807, 598, 467, 2171, 601, 828, 2255, 17, 289, 266, 17833, 2343, 511, 363, 7721, 340, 293, 1558, 1110, 289, 17612, 273, 266, 10001, 1019, 7987, 15201, 3842, 360, 266, 441, 1950, 374, 384, 9868, 517, 5299, 19, 6985, 8779, 19440, 601, 1538, 5137, 266, 3213, 339, 598, 725, 363, 12538, 293, 263, 9063, 3437, 12, 419, 265, 2926, 1512, 358, 16951, 517, 10325, 853, 289, 457, 3009, 3399, 288, 293, 959, 641, 266, 1477, 363, 994, 17, 293, 2044, 384, 25606, 19, 598, 312, 596, 601, 9730, 17, 7077, 17, 293, 426, 496, 266, 1677, 273, 17734, 273, 577, 448, 17, 289, 312, 3425, 577, 770, 6730, 3133, 14875, 19, 1288, 544, 1362, 805, 341, 17, 289, 571, 1627, 497, 1309, 3308, 407, 266, 373, 460, 1336, 1425, 991, 369, 399, 4675, 17, 470, 363, 263, 3213, 273, 12374, 28299, 17, 347, 2171, 551, 4526, 17, 289, 17, 7493, 17, 749, 14707, 1745, 360, 266, 4408, 1146, 273, 266, 24442, 723, 3571, 598, 2823, 1972, 993, 390, 3341, 4028, 339, 17, 598, 6861, 17, 341, 457, 1140, 551, 1904, 263, 1536, 17, 441, 729, 825, 398, 5913, 263, 3096, 339, 457, 3490, 551, 293, 681, 263, 17723, 7442, 1425, 1142, 467, 14472, 350, 817, 598, 828, 23851, 1972, 289, 358, 12020, 4141, 2137, 339, 467, 694, 1808, 787, 19, 6985, 8779, 19440, 363, 263, 777, 1431, 273, 266, 740, 972, 17, 441, 398, 11811, 288, 26158, 759, 17, 293, 369, 384, 9063, 13436, 2739, 263, 1137, 2404, 273, 5835, 15106, 19, 620, 4973, 11607, 339, 266, 14647, 17, 2717, 18, 2321, 23139, 1289, 357, 457, 1278, 12925, 289, 448, 22047, 363, 2099, 358, 1106, 289, 9651, 5163, 273, 266, 2126, 374, 1006, 19, 743, 19, 370, 1079, 7710, 3399, 864, 692, 598, 791, 18, 285, 18, 5213, 1425, 370, 441, 1950, 9113, 660, 11685, 552, 347, 641, 341, 363, 976, 11974, 17, 289, 2099, 288, 681, 358, 5587, 266, 24896, 7809, 942, 426, 6747, 263, 4455, 3678, 273, 2441, 17, 293, 369, 17, 890, 2594, 24803, 350, 266, 3213, 288, 1831, 17, 6985, 8779, 19440, 597, 426, 457, 497, 11709, 6219, 19, 620, 363, 17, 347, 357, 781, 1076, 17, 598, 1564, 293, 263, 11358, 1972, 289, 692, 263, 20149, 17, 2094, 1282, 4861, 1307, 3537, 17, 350, 828, 4369, 289, 31041, 11814, 17, 1108, 357, 1066, 3399, 374, 577, 1654, 577, 457, 1574, 4569, 374, 503, 17, 357, 5503, 293, 2038, 8309, 16056, 293, 266, 1347, 273, 2316, 399, 4675, 19, 319, 5542, 19474, 331, 2902, 15428, 354, 289, 1108, 551, 8186, 413, 4204, 288, 29430, 29412, 517, 20662, 88, 17, 289, 598, 7128, 1718, 598, 551, 27102, 17, 14239, 17, 289, 905, 314, 344, 299, 17, 266, 1818, 345, 1169, 517, 4756, 413, 890, 772, 1005, 1718, 1738, 266, 8314, 17, 505, 667, 5329, 273, 14072, 17, 288, 266, 3106, 350, 6985, 8779, 19440, 19, 598, 4538, 759, 9154, 807, 2823, 315, 517, 5416, 807, 598, 15610, 88, 399, 4675, 17, 350, 263, 4246, 17, 347, 641, 729, 457, 398, 3855, 339, 16550, 374, 556, 2875, 676, 490, 4134, 561, 594, 2316, 26511, 7907, 1566, 288, 293, 12875, 551, 8984, 794, 7974, 23038, 490, 289, 729, 7006, 1110, 17, 2419, 9065, 1036, 347, 641, 266, 1477, 475, 340, 2274, 19, 5318, 424, 806, 398, 6038, 293, 959, 29412, 1220, 551, 28161, 836, 289, 4849, 731, 20052, 5563, 5364, 17, 424, 571, 776, 289, 7061, 343, 551, 288, 266, 7974, 23038, 18, 5042, 17, 293, 369, 1331, 10572, 348, 6789, 2827, 19, 729, 331, 1538, 2247, 478, 9260, 1407, 24515, 1110, 17, 350, 890, 20025, 2109, 602, 2875, 17, 1940, 407, 266, 8701, 273, 3096, 27294, 265, 2256, 517, 2139, 17, 614, 30366, 4005, 17, 1289, 270, 311, 29412, 5791, 441, 601, 912, 17, 289, 350, 1289, 729, 331, 4665, 4440, 4359, 1336, 17, 5792, 266, 23368, 273, 384, 1578, 17, 289, 266, 25805, 17, 1585, 27688, 5702, 288, 369, 357, 1465, 16378, 266, 1493, 5933, 19, 598, 29412, 17, 426, 577, 7584, 348, 1848, 814, 289, 7773, 835, 5555, 814, 289, 1143, 835, 2353, 320, 15178, 694, 1066, 6845, 2353, 19, 741, 3399, 343, 266, 1103, 273, 339, 24017, 17, 3361, 424, 1326, 273, 341, 320, 289, 856, 312, 1243, 577, 575, 31431, 15735, 781, 2316, 26511, 7907, 17, 878, 8555, 343, 358, 2795, 347, 729, 4179, 1110, 293, 263, 601, 11217, 29380, 793, 954, 267, 12, 5282, 288, 266, 8089, 17, 369, 729, 1116, 7974, 23038, 17, 441, 369, 363, 360, 497, 1341, 263, 2686, 11446, 273, 263, 828, 5940, 19, 598, 7133, 17, 2997, 22108, 1972, 781, 29412, 32, 598, 4188, 1234, 17, 341, 517, 1111, 3201, 343, 15015, 354, 441, 2150, 476, 17, 22108, 17, 767, 1008, 614, 30366, 4005, 1960, 793, 263, 1407, 16416, 17, 594, 357, 19022, 293, 456, 27294, 265, 1601, 821, 949, 289, 1601, 821, 14631, 320, 598, 598, 319, 1407, 16416, 17, 29412, 320, 680, 837, 807, 22302, 354, 537, 598, 88, 497, 681, 2718, 19, 801, 339, 23839, 476, 490, 3641, 2235, 6102, 293, 1362, 805, 339, 2710, 1770, 273, 25260, 25938, 517, 354, 9696, 694, 1465, 306, 456, 505, 456, 288, 3605, 6714, 19, 2735, 577, 761, 17, 29412, 17, 312, 3641, 2235, 1904, 864, 614, 30366, 4005, 1425, 598, 409, 22108, 1972, 781, 29412, 17, 598, 681, 263, 2139, 273, 1601, 821, 517, 490, 312, 6786, 2585, 424, 2314, 293, 864, 503, 32, 289, 312, 6786, 2585, 357, 25297, 540, 32, 767, 263, 1151, 357, 1566, 1110, 925, 339, 17626, 396, 19749, 293, 3228, 577, 660, 273, 266, 5838, 354, 289, 1008, 577, 959, 17, 22108, 17, 767, 10276, 2942, 18689, 357, 457, 340, 19, 312, 1326, 312, 694, 864, 503, 601, 749, 641, 424, 3048, 503, 1698, 19, 2152, 448, 749, 347, 456, 40, 423, 265, 1601, 821, 949, 598, 2739, 266, 1493, 5933, 17, 8585, 2282, 17, 598, 368, 2997, 23303, 30935, 4508, 765, 19, 2024, 2633, 8266, 341, 363, 594, 384, 18115, 2039, 1110, 17, 22108, 19, 7578, 577, 2663 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 339, 4560, 36, 801, 312, 596, 2585, 614, 30366, 4005, 331, 601, 828, 18, 24108, 1425, 598, 15926, 23839, 476, 17, 567, 2997, 1972, 781, 2316, 26511, 7907, 17, 470, 363, 6675, 1582, 27677, 1843, 266, 973, 273, 266, 31431, 354, 598, 312, 555, 2137, 339, 4530, 536, 398, 3559, 293, 6487, 74, 354, 312, 596, 1465, 7669, 770, 6730, 3133, 14875, 19, 1387, 793, 972, 19, 29412, 17, 1217, 476, 266, 11685, 552, 354, 289, 567, 2997, 17, 312, 806, 1193, 575, 2505, 22804, 18634, 343, 577, 490, 577, 413, 601, 3898, 288, 421, 3201, 4172, 354, 441, 312, 596, 1465, 16890, 2265, 617, 793, 1601, 821, 594, 357, 331, 21453, 1425, 1937, 266, 5703, 5641, 1226, 17, 424, 571, 4634, 339, 2316, 26511, 7907, 17, 470, 17, 347, 424, 426, 781, 17, 363, 6117, 293, 306, 5542, 17, 363, 5078, 5594, 448, 650, 511, 368, 667, 2269, 2943, 19, 531, 266, 740, 951, 17, 350, 452, 263, 2511, 517, 6032, 288, 551, 3071, 517, 3785, 17, 729, 825, 398, 306, 6027, 293, 266, 1196, 7973, 5983, 6381, 17, 1074, 825, 729, 1284, 410, 3913, 273, 1137, 1530, 76, 420, 654, 339, 29412, 597, 398, 785, 1258, 293, 306, 266, 1268, 778, 273, 551, 8055, 3026, 17, 441, 339, 17, 293, 1146, 551, 887, 4244, 17, 729, 363, 598, 2585, 293, 306, 14284, 3184, 505, 794, 729, 363, 1106, 2414, 293, 761, 551, 887, 1374, 1425, 370, 2819, 363, 17, 339, 2316, 26511, 7907, 749, 1530, 359, 4838, 452, 551, 4576, 7442, 708, 266, 1947, 273, 1106, 18, 30589, 18, 3026, 490, 263, 1638, 273, 1073, 369, 17, 288, 658, 1476, 273, 598, 20020, 1493, 18, 11201, 920, 1972, 2001, 14602, 311, 28670, 354, 289, 4203, 819, 791, 18, 73, 1612, 17, 791, 18, 25576, 1307, 25898, 279, 347, 263, 2167, 653, 334, 344, 273, 551, 15942, 17, 289, 263, 4355, 8945, 293, 598, 27294, 265, 1601, 821, 12, 729, 2413, 503, 374, 6850, 17, 5566, 17, 350, 263, 23777, 289, 11032, 1904, 3206, 293, 551, 887, 14731, 289, 5918, 1183, 1455, 19, 6519, 30366, 4005, 729, 825, 398, 17064, 17, 555, 767, 729, 597, 19, 741, 424, 413, 3061, 293, 5173, 339, 729, 363, 1122, 14916, 288, 551, 11392, 273, 339, 3437, 602, 273, 584, 532, 4576, 16855, 470, 2388, 288, 266, 701, 2254, 662, 374, 7133, 19, 743, 17, 293, 2516, 263, 976, 3678, 273, 25860, 13388, 10986, 17, 350, 294, 265, 686, 28929, 343, 384, 4780, 407, 263, 2427, 3791, 17, 368, 293, 4434, 5483, 1081, 11589, 871, 10913, 8561, 1230, 357, 4849, 279, 384, 5051, 340, 384, 7089, 18, 88, 13488, 321, 17, 289, 30075, 1280, 289, 24105, 374, 266, 14857, 340, 266, 14888, 18, 13029, 17, 343, 266, 7070, 2385, 374, 369, 17, 350, 1330, 28225, 17, 357, 942, 1220, 384, 7762, 19, 2667, 266, 6183, 289, 2960, 759, 273, 29412, 517, 1347, 363, 2996, 557, 263, 1351, 273, 8265, 602, 339, 273, 1601, 821, 517, 1337, 354, 289, 266, 4530, 2779, 293, 1220, 263, 8354, 30164, 3669, 288, 9105, 1076, 5317, 288, 10283, 273, 25000, 11579, 11506, 19, 2334, 463, 289, 995, 18, 88, 2918, 935, 17, 357, 363, 19258, 22703, 28419, 2450, 17, 15521, 350, 5088, 7943, 17, 12944, 3235, 373, 1748, 17, 805, 23, 78, 10572, 348, 6789, 2827, 19, 11927, 1076, 288, 5444, 963, 1092, 676, 17, 289, 17, 2955, 8265, 273, 452, 17, 14288, 22664, 31147, 490, 266, 2709, 2336, 273, 384, 19960, 4379, 490, 660, 273, 384, 5721, 17, 347, 384, 15107, 2222, 350, 29284, 17, 369, 475, 8114, 8841, 8446, 530, 347, 5370, 19669, 273, 6011, 19, 620, 363, 772, 3559, 836, 340, 358, 6549, 350, 384, 2139, 289, 17052, 17, 30366, 4005, 354, 441, 791, 1008, 2316, 26511, 7907, 761, 339, 21573, 3908, 17, 4972, 18, 11201, 2138, 597, 306, 358, 19848, 13489, 17, 289, 339, 551, 11454, 597, 598, 21336, 288, 1972, 347, 357, 1116, 341, 17, 293, 263, 3902, 9047, 17, 266, 6345, 357, 2975, 1718, 407, 266, 515, 1693, 14892, 273, 266, 1542, 19, 598, 531, 266, 15832, 1972, 1353, 729, 17, 598, 341, 598, 88, 263, 5402, 293, 426, 29412, 4314, 374, 551, 8796, 354, 537, 331, 1561, 864, 8860, 343, 266, 1374, 293, 1962, 10988, 21606, 660, 273, 263, 1493, 5933, 517, 1154, 32, 448, 2345, 835, 3634, 1110, 1070, 17, 567, 1658, 17, 598, 729, 2739, 17, 16701, 17, 598, 289, 701, 424, 426, 1143, 266, 998, 970, 273, 456, 3864, 13736, 408, 949, 577, 619, 15078, 835, 5555, 17, 1230, 312, 1454, 2578, 263, 912, 340, 266, 29496, 1425, 1663, 452, 556, 14399, 17, 598, 3864, 13736, 408, 598, 331, 263, 961, 273, 369, 263, 1156, 6017, 776, 263, 785, 1151, 17, 594, 7928, 610, 461, 887, 21979, 26658, 360, 667, 5926, 470, 426, 441, 263, 2187, 7442, 350, 266, 2825, 2907, 354, 289, 29412, 1538, 14109, 273, 266, 25060, 5243, 18, 1625, 517, 557, 602, 2951, 733, 3919, 17, 289, 266, 316, 11407, 1248, 11880, 350, 369, 341, 331, 4141, 354, 448, 729, 6484, 22108, 517, 29496, 293, 266, 1564, 6177, 17, 6507, 266, 3539, 293, 1962, 551, 660, 273, 266, 10350, 17, 289, 4179, 1110, 293, 551, 30273, 1038, 15703, 350, 358, 2390, 598, 4538, 1761, 17, 10356, 94, 354, 577, 5900, 2235, 2663, 584, 273, 567, 19144, 17, 448, 312, 856, 2980, 567, 13380, 805, 347, 3809, 347, 1280, 312, 619, 1425, 10738, 414, 1718, 17, 6205, 2316, 26511, 7907, 17, 288, 266, 3874, 7750, 339, 577, 426, 1140, 835, 3071, 7791, 8860, 273, 1374, 17, 293, 1080, 1561, 273, 8186, 17, 288, 266, 5226, 273, 731, 1956, 18, 11201, 6017, 17, 448, 10470, 293, 266, 2295, 289, 1001, 9785, 293, 266, 903, 19, 10738, 414, 1718, 17, 289, 2051, 339, 551, 4756, 289, 6434, 413, 347, 749, 708, 521, 12, 401, 7789, 347, 551, 912, 1337, 1446, 293, 306, 17, 594, 577, 1291, 551, 293, 2845, 350, 835, 887, 1804, 17, 289, 729, 781, 551, 9354, 7668, 340, 835, 9835, 19, 1142, 577, 452, 1326, 273, 835, 2065, 354, 448, 577, 452, 16626, 13461, 17, 289, 413, 5074, 8042, 594, 3393, 273, 11414, 8126, 368, 1085, 607, 8121, 6730, 3133, 14875, 19, 1539, 71, 26508, 1227, 288, 835, 887, 5802, 17, 1108, 577, 426, 785, 19418, 835, 9324, 339, 598, 6846, 544, 306, 6846, 1972, 368, 598, 9696, 413, 1465, 1353, 1178, 1972, 594, 467, 426, 10061, 293, 577, 273, 461, 7867, 296, 10735, 1019, 289, 13668, 88, 19, 2324, 1326, 577, 761, 835, 2065, 734, 577, 17, 470, 619, 2597, 306, 781, 293, 761, 6502, 19, 370, 3457, 4530, 374, 835, 1286, 17, 470, 6377, 577, 360, 266, 3011, 1778, 14895, 273, 598, 266, 7023, 1972, 577, 27224, 7105, 357, 331, 10373, 288, 731, 1758, 273, 5463, 531, 369, 577, 413, 9395, 1110, 5979, 343, 384, 3220, 1073, 273, 381, 643, 1809, 17, 19268, 17, 289, 4888, 19, 2152, 263, 3678, 273, 341, 19, 620, 331, 6707, 273, 384, 284, 1875, 289, 384, 14173, 374, 266, 2195, 18, 1119, 484, 17, 369, 544, 1077, 263, 5561, 9006, 288, 266, 5144, 577, 544, 2099, 919, 293, 503, 340, 384, 1399, 293, 614, 22056, 517, 19, 2324, 7560, 288, 791, 18, 329, 5265, 2907, 266, 21967, 273, 263, 598, 3436, 18, 489, 87, 2549, 1305, 598, 4628, 293, 835, 7801, 3071, 17, 263, 11899, 5933, 17, 1488, 2343, 17, 1564, 11043, 577, 1326, 597, 791, 1849, 263, 9592, 351, 17, 289, 729, 2001, 293, 10918, 350, 452, 2200, 293, 835, 24353, 17, 289, 293, 3394, 23308, 350, 598, 2997, 22627, 1972, 288, 12660, 12455, 17, 289, 358, 29870, 273, 767, 577, 891, 598, 25868, 3778, 273, 920, 1425, 1360, 551, 2511, 17, 350, 27677, 6445, 289, 10557, 17086, 17, 24662, 577, 293, 1362, 343, 551, 293, 18, 2873, 1007, 266, 14200, 8494, 17, 1481, 293, 511, 441, 577, 1265, 551, 288, 266, 6982, 18, 5042, 350, 3287, 1524, 1332, 17, 598, 339, 19433, 491, 878, 263, 25643, 1972, 347, 835, 16671, 580, 936, 844, 15201, 11356, 824, 503, 19, 741, 1101, 17, 347, 1357, 701, 1357, 21847, 556, 1916, 18, 75, 818, 1260, 327, 10365, 17, 289, 12070, 2307, 266, 10411, 273, 266, 7867, 296, 7946, 17, 577, 776, 340, 916, 4078, 297, 339, 266, 1851, 17, 289, 1135, 266, 1851, 17, 544, 1077, 13115, 839, 293, 577, 343, 452, 266, 1511, 5426, 654, 273, 556, 5065, 16154, 17, 1654, 266, 14998, 490, 266, 14332, 734, 266, 23303, 273, 835, 1106, 1947, 490, 266, 11859, 339, 363, 17, 1847, 17, 293, 306, 835, 598, 1342, 3200, 598, 490, 3480, 6719, 701, 266, 1454, 17, 289, 577, 1627, 263, 18800, 12487, 374, 835, 1347, 17, 289, 263, 5206, 17, 5561, 7750, 339, 266, 1498, 289, 280, 7059, 410, 6434, 273, 358, 11709, 1455, 413, 14525, 343, 556, 5474, 490, 339, 537, 806, 306, 2922, 1698, 293, 1340, 594, 6024, 1070, 8589, 293, 1347, 18, 9593, 289, 13909, 19, 801, 29412, 544, 398, 1326, 448, 343, 817, 263, 785, 945, 1101, 19, 5318, 266, 1093, 7085, 289, 4552, 29141, 1483, 289, 757, 1994, 289, 26132, 1056, 475, 4370, 505, 288, 20120, 15790, 1384, 7419, 17, 398, 263, 18861, 273, 675, 70, 3859, 10572, 348, 6789, 2827, 19, 2794, 474, 8029, 339, 2931, 17, 1564, 11043, 19, 29412, 517, 887, 4756, 475, 263, 4983, 15373, 343, 452, 266, 1372, 28174, 339, 266, 10584, 410, 3536, 273, 1838, 3997, 18, 983, 4266, 1608, 17, 368, 8226, 5555, 17, 825, 24114, 19, 578, 331, 647, 70, 6920, 2719, 637, 3404, 293, 3438, 266, 13548, 5575, 289, 8588, 94, 12924, 339, 29712, 981, 532, 925, 339, 22145, 912, 1154, 354, 1074, 426, 424, 584, 2959, 293, 5751, 19, 319, 1493, 5933, 517, 4551, 331, 263, 4229, 273, 7644, 17, 878, 26325, 2878, 17, 2099, 878, 749, 1649, 17, 441, 7644, 5792, 19, 6173, 266, 1432, 536, 2555, 556, 13878, 273, 15384, 17, 339, 13878, 369, 331, 864, 266, 11051, 339, 19598, 818, 266, 2109, 273, 461, 9331, 12222, 17, 289, 728, 266, 2343, 440, 12, 8537, 88, 289, 24443, 2280, 289, 19941, 2330, 1651, 1362, 864, 7178, 8253, 654, 17, 289, 28584, 884, 17, 289, 17124, 17, 289, 2503, 490, 794, 1073, 536, 6554, 1718, 749, 293, 5913, 17, 289, 2405, 1633, 749, 293, 8598, 273, 490, 794, 266, 3040, 536, 496, 18137, 279, 369, 1135, 21206, 407, 266, 17654, 273, 20197, 273, 4538, 289, 31526, 17, 537, 331, 263, 7338, 3315, 288, 266, 1927, 970, 273, 6707, 354, 289, 339, 8199, 13937, 29412, 7567, 293, 266, 6303, 17, 3361, 551, 8186, 475, 478, 9260, 805, 266, 30273, 1038, 15703, 19521, 17, 289, 2316, 26511, 7907, 363, 4414, 29282, 28505, 340, 266, 29496, 19, 2451, 17, 6519, 30366, 4005, 363, 11705, 6136, 289, 27636, 13986, 350, 598, 27294, 265, 1601, 821, 1972, 470, 17, 864, 452, 6846, 17, 457, 7042, 358, 8955, 263, 1156, 969, 8830, 602, 1076, 17, 289, 9462, 503, 350, 731, 16722, 13360, 369, 4318, 11220, 5092, 293, 8900, 263, 5349, 19, 6519, 363, 263, 1121, 3437, 17, 288, 3573, 273, 384, 2992, 374, 266, 2093, 1947, 273, 1924, 18, 489, 18, 24853, 17, 289, 17, 2002, 293, 2150, 17, 2895, 6071, 73, 350, 384, 2328, 19, 1155, 424, 475, 293, 7560, 503, 17, 424, 694, 1080, 357, 363, 598, 263, 491, 273, 1897, 598, 1582, 602, 598, 263, 491, 273, 3591, 1972, 368, 598, 263, 491, 273, 2959, 1972, 368, 598, 263, 491, 273, 22525, 1972, 368, 598, 263, 491, 273, 3315, 1972, 368, 263, 491, 273, 3687, 3145, 19, 620, 3399, 16671, 1111, 17, 289, 9616, 17, 350, 384, 3190, 5347, 16106, 17, 384, 1564, 10603, 17, 2046, 20196, 2287, 17, 289, 1511, 11375, 7907, 4397, 289, 25576, 417, 19, 5797, 357, 496, 266, 1874, 1770, 273, 263, 27186, 21147, 288, 4251, 368, 1578, 17, 266, 5926, 597, 426, 15076, 503, 601, 5955, 354, 441, 357, 363, 2926, 293, 9711, 288, 384, 27264, 17, 289, 1582, 12223, 288, 384, 4406, 17, 448, 467, 20929, 503, 3544, 1474, 17, 441, 475, 601, 3297, 293, 503, 5792, 19, 370, 920, 17, 2884, 266, 770, 6730, 3133, 14875, 19, 1499, 31380, 3737, 17, 470, 413, 1465, 3124, 350, 461, 16026, 289, 4714, 17, 8247, 339, 357, 598, 3399, 263, 828, 511, 452, 805, 20, 26198, 17, 347, 424, 2987, 266, 9275, 17, 398, 448, 749, 293, 384, 4769 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 347, 384, 29395, 3404, 17, 289, 1125, 3516, 273, 21209, 13423, 19, 987, 413, 398, 448, 1005, 2947, 407, 263, 1063, 273, 7468, 1608, 288, 266, 919, 945, 347, 424, 413, 21805, 293, 302, 827, 4352, 19, 1360, 1493, 1442, 2127, 1116, 266, 21877, 1106, 10109, 598, 384, 8641, 6161, 362, 1972, 339, 3775, 1347, 363, 3957, 293, 3207, 28856, 343, 384, 7622, 5935, 17, 289, 6062, 288, 31147, 273, 2921, 289, 5834, 273, 2582, 17, 398, 343, 266, 18372, 517, 5463, 17, 369, 363, 7608, 17, 368, 384, 18839, 17, 369, 363, 2640, 8455, 32, 289, 448, 3544, 584, 22566, 273, 1493, 4733, 772, 288, 266, 25913, 3107, 17, 266, 4431, 369, 22934, 706, 7973, 2001, 293, 306, 263, 1137, 6888, 273, 7418, 289, 6567, 19021, 17, 369, 467, 891, 17563, 19, 598, 6963, 416, 2307, 288, 676, 343, 27399, 529, 490, 598, 3932, 12722, 17, 357, 14927, 1171, 15886, 273, 4126, 1107, 17, 289, 1066, 2039, 293, 2845, 490, 357, 598, 88, 263, 378, 10095, 1733, 3537, 17, 388, 2307, 598, 419, 2547, 406, 1577, 1013, 598, 6963, 3287, 5758, 1571, 9673, 594, 357, 226, 89, 21963, 805, 339, 6810, 289, 7022, 384, 2764, 517, 4277, 320, 598, 490, 598, 355, 12561, 814, 398, 357, 354, 577, 5900, 2235, 1440, 959, 503, 9673, 490, 537, 413, 398, 817, 11850, 448, 1733, 347, 5758, 1571, 598, 419, 30318, 16236, 14, 354, 289, 1278, 341, 2001, 339, 266, 4551, 331, 3420, 11649, 1643, 293, 556, 7383, 17, 398, 273, 9607, 17, 441, 273, 25370, 661, 490, 289, 266, 1154, 668, 3047, 266, 18529, 2169, 273, 266, 2125, 5935, 594, 341, 571, 306, 5381, 340, 350, 22567, 19, 12895, 658, 598, 5846, 2118, 598, 4733, 273, 263, 598, 11973, 2764, 1972, 289, 819, 903, 331, 5781, 288, 25533, 2200, 490, 4360, 293, 500, 273, 263, 11973, 491, 17, 461, 9719, 413, 7614, 288, 8203, 490, 273, 263, 11973, 2853, 17, 461, 13478, 413, 3191, 1110, 288, 13668, 19, 801, 6519, 30366, 4005, 363, 17, 293, 1146, 461, 6136, 1104, 17, 598, 263, 606, 6189, 598, 3544, 452, 266, 19371, 273, 384, 1947, 289, 4598, 19, 9251, 289, 6922, 17, 350, 12676, 17, 6333, 17, 289, 4406, 17, 357, 825, 3171, 17, 2320, 17, 20873, 17, 10941, 17, 19704, 17, 2980, 1496, 22492, 17, 7516, 17, 289, 13285, 350, 266, 1498, 273, 500, 17, 289, 467, 1066, 9852, 339, 421, 4312, 5935, 3569, 263, 1374, 4374, 289, 16671, 347, 266, 23480, 351, 288, 369, 341, 363, 8989, 19, 6519, 363, 263, 791, 18, 265, 10232, 17, 791, 647, 5344, 3113, 491, 32, 490, 6631, 21997, 17, 22138, 17, 289, 681, 1559, 8199, 2789, 490, 7567, 4834, 660, 263, 1552, 368, 11543, 17, 368, 3590, 22147, 384, 1471, 10572, 348, 6789, 2827, 19, 4312, 1374, 17, 289, 597, 776, 293, 358, 2598, 790, 87, 98, 8736, 368, 293, 959, 263, 3231, 3653, 17, 368, 890, 293, 266, 6933, 390, 6640, 298, 17, 343, 729, 268, 12333, 19, 5797, 357, 496, 3500, 293, 961, 343, 384, 2933, 22469, 17, 357, 597, 426, 728, 263, 3735, 15162, 354, 347, 341, 363, 17, 357, 2314, 293, 426, 496, 288, 266, 13027, 17, 368, 266, 10922, 17, 368, 3687, 441, 358, 9867, 491, 17, 2881, 374, 384, 887, 951, 288, 266, 1121, 19, 620, 457, 497, 5128, 17, 4665, 1561, 293, 1962, 503, 374, 2340, 354, 1233, 781, 339, 594, 2271, 357, 457, 497, 3435, 5940, 18, 25163, 490, 263, 19541, 2405, 288, 637, 3522, 359, 274, 15113, 1947, 525, 357, 363, 1111, 16671, 293, 1461, 601, 749, 343, 23799, 17, 2148, 357, 1008, 8312, 1137, 6431, 273, 384, 887, 1257, 354, 289, 1111, 4412, 293, 306, 19443, 793, 2778, 3741, 1886, 17, 1108, 357, 363, 263, 828, 6481, 17, 289, 11272, 1245, 791, 293, 19302, 19, 1132, 28569, 17, 6519, 363, 660, 273, 384, 951, 288, 266, 1432, 354, 289, 17, 398, 1021, 3638, 374, 339, 1947, 594, 17, 641, 263, 491, 3641, 2235, 2454, 384, 18462, 17, 357, 3329, 384, 18462, 2454, 503, 17, 363, 288, 3542, 273, 5594, 6071, 73, 289, 10556, 17, 289, 263, 7830, 4854, 273, 3495, 19, 22346, 829, 17, 27294, 265, 1601, 821, 517, 3332, 19751, 17, 614, 1006, 6387, 722, 17, 2054, 384, 5278, 1949, 293, 30366, 4005, 3469, 17, 289, 2516, 293, 1509, 805, 1137, 6018, 31033, 4640, 692, 2685, 343, 289, 4671, 17, 358, 6402, 1715, 951, 1007, 266, 27182, 289, 266, 14401, 517, 15783, 8941, 17, 369, 5112, 505, 358, 4528, 11098, 273, 2858, 268, 289, 4050, 19, 1006, 667, 1233, 825, 791, 306, 557, 1441, 288, 5800, 289, 2304, 602, 475, 6519, 289, 1601, 821, 19, 370, 491, 490, 1559, 17, 4099, 412, 17, 4412, 17, 4690, 17, 289, 20196, 354, 266, 4530, 490, 1319, 17, 4419, 17, 3201, 18, 12344, 17, 289, 15045, 17, 16965, 297, 293, 10045, 17, 26488, 293, 9607, 289, 9679, 17, 6760, 340, 647, 1364, 11395, 273, 266, 2385, 17, 289, 7510, 6675, 610, 13273, 4934, 17, 369, 384, 2139, 347, 7510, 457, 293, 2155, 503, 660, 273, 19, 3942, 701, 467, 457, 1563, 981, 532, 263, 1156, 2453, 467, 2171, 25764, 19, 1601, 821, 2039, 8815, 17, 701, 384, 8796, 374, 266, 21212, 17, 293, 862, 266, 1454, 273, 266, 945, 374, 266, 5584, 354, 289, 6519, 790, 263, 9699, 3315, 288, 628, 1036, 17, 1496, 22492, 17, 12315, 17, 15521, 17, 289, 890, 13578, 17, 407, 266, 11146, 10099, 350, 369, 266, 598, 94, 1371, 511, 12, 3330, 650, 658, 6067, 524, 19, 908, 343, 266, 598, 1493, 511, 598, 1076, 17, 357, 1353, 537, 363, 1561, 288, 266, 1432, 2407, 293, 30366, 4005, 490, 448, 1559, 17, 448, 18137, 94, 17, 448, 791, 18, 1919, 17, 448, 11458, 7147, 17, 24888, 42, 6730, 3133, 14875, 19, 1516, 350, 681, 7220, 1178, 13237, 17, 289, 681, 263, 828, 4694, 650, 263, 2764, 17, 357, 363, 266, 4530, 517, 5349, 419, 2330, 426, 452, 457, 681, 288, 637, 945, 853, 289, 357, 18775, 503, 5566, 19, 1142, 1309, 825, 357, 2834, 293, 6190, 3239, 273, 384, 5936, 697, 17, 890, 1317, 266, 2183, 1119, 5857, 2475, 273, 266, 6325, 367, 17, 339, 357, 457, 14938, 30366, 4005, 293, 1340, 805, 293, 709, 318, 2604, 265, 517, 17, 497, 601, 606, 2605, 407, 384, 887, 951, 17, 289, 457, 6413, 293, 9988, 503, 293, 266, 598, 30705, 26511, 7907, 1972, 289, 598, 29412, 1972, 273, 1289, 357, 457, 2247, 448, 749, 288, 266, 7706, 273, 461, 21858, 598, 360, 2359, 351, 289, 360, 4922, 1425, 370, 5440, 363, 728, 289, 2413, 490, 289, 6519, 363, 2881, 374, 266, 25696, 14720, 17, 27993, 266, 13346, 360, 266, 9711, 273, 384, 5157, 17, 289, 266, 2439, 2724, 360, 384, 27826, 347, 4203, 5940, 17, 3361, 357, 363, 5430, 945, 360, 945, 288, 266, 828, 17293, 890, 273, 2316, 26511, 7907, 17, 289, 6093, 17, 347, 357, 1076, 1353, 350, 606, 31559, 17, 263, 4496, 3159, 273, 2960, 5878, 288, 266, 3289, 17, 27423, 23351, 1374, 273, 29412, 19, 598, 5149, 10683, 6683, 452, 266, 1698, 343, 402, 418, 25799, 17, 1601, 821, 1972, 781, 30366, 4005, 293, 384, 1493, 8139, 17, 347, 467, 293, 2319, 6651, 2456, 266, 1028, 3298, 27399, 17, 774, 819, 2183, 30927, 363, 21683, 279, 350, 1481, 10718, 1120, 407, 29377, 3295, 289, 263, 18657, 5591, 18675, 19, 598, 578, 2135, 600, 266, 1793, 1159, 347, 828, 1154, 18, 5502, 2135, 600, 266, 5478, 19, 12440, 3641, 2235, 5249, 1437, 2414, 17, 312, 1326, 490, 890, 3312, 2314, 293, 426, 2960, 5025, 288, 2960, 3489, 354, 289, 1362, 767, 25903, 17, 498, 26399, 17, 31084, 332, 30269, 1437, 273, 500, 413, 490, 398, 864, 835, 15107, 19, 2451, 339, 598, 88, 767, 312, 891, 263, 9616, 2853, 17, 1601, 821, 354, 729, 598, 73, 555, 288, 266, 8972, 368, 18111, 490, 729, 598, 88, 2454, 293, 306, 263, 5006, 17, 567, 4530, 17, 1606, 729, 598, 88, 2975, 575, 6551, 793, 551, 19, 908, 343, 577, 17, 1493, 3437, 17, 577, 961, 1733, 2414, 660, 18, 1038, 18, 5213, 910, 17, 441, 577, 6845, 835, 22133, 4049, 490, 312, 3641, 2235, 2051, 772, 339, 577, 426, 3907, 263, 1776, 1712, 577, 1314, 1006, 6387, 722, 517, 1425, 598, 15590, 481, 787, 17, 6519, 17, 347, 2875, 1972, 4028, 1601, 821, 354, 598, 312, 1143, 343, 358, 2653, 421, 601, 2427, 17, 3361, 312, 363, 12866, 354, 312, 596, 601, 5995, 273, 4801, 594, 341, 598, 88, 398, 2758, 1425, 598, 741, 571, 312, 2212, 767, 835, 2093, 8796, 475, 17, 567, 16717, 1493, 11789, 22, 15735, 598, 456, 2573, 1750, 456, 289, 456, 370, 23585, 273, 319, 1502, 73, 408, 7, 490, 360, 19560, 17, 1106, 3537, 17, 341, 598, 88, 2710, 1425, 1352, 10572, 348, 6789, 2827, 19, 6519, 728, 263, 2361, 347, 641, 2172, 457, 16849, 263, 6010, 19, 598, 456, 53, 8321, 1750, 7, 289, 456, 2273, 23585, 273, 319, 1502, 73, 408, 949, 598, 357, 3993, 17, 350, 8036, 13668, 32, 598, 263, 4530, 273, 8835, 490, 312, 1253, 835, 7663, 490, 263, 1493, 491, 273, 835, 1947, 4801, 15385, 354, 3243, 17, 577, 598, 2071, 8622, 374, 263, 1063, 273, 6100, 16463, 1545, 16407, 794, 577, 413, 2145, 17, 2884, 641, 577, 9144, 749, 374, 266, 732, 676, 19, 312, 26517, 352, 577, 413, 456, 505, 456, 288, 456, 3864, 17738, 456, 347, 791, 490, 398, 339, 312, 1326, 357, 331, 1437, 448, 2686, 343, 577, 354, 441, 497, 491, 694, 1143, 8936, 288, 681, 358, 452, 1040, 23846, 347, 15385, 8754, 341, 17, 1654, 384, 1347, 331, 18971, 289, 384, 25576, 417, 5546, 19, 1743, 7644, 17, 293, 567, 1374, 17, 536, 263, 5515, 293, 1077, 577, 557, 368, 1122, 533, 1078, 10358, 19, 2324, 694, 1143, 12105, 17, 567, 4530, 17, 289, 21913, 17, 289, 828, 2960, 9607, 14415, 32, 441, 641, 577, 806, 426, 2101, 273, 7624, 17, 1220, 293, 10899, 1425, 598, 355, 412, 12120, 7215, 1972, 6406, 1601, 821, 17, 470, 848, 901, 490, 288, 369, 10569, 424, 1363, 3228, 9782, 3076, 263, 912, 490, 339, 7644, 331, 1561, 878, 521, 19749, 354, 598, 312, 619, 2235, 1143, 954, 6017, 273, 456, 16615, 24757, 756, 598, 598, 11720, 835, 4551, 331, 20412, 343, 1922, 273, 1310, 10681, 1972, 10004, 30366, 4005, 354, 598, 641, 577, 776, 340, 864, 421, 17, 577, 598, 2071, 601, 1538, 446, 1078, 2454, 343, 13831, 31904, 416, 28657, 17, 289, 312, 856, 1243, 577, 505, 4049, 19, 1006, 17, 594, 577, 776, 1551, 293, 29211, 1797, 338, 722, 517, 17, 312, 856, 1243, 503, 263, 14451, 293, 1291, 577, 610, 263, 10584, 450, 1509, 273, 21997, 17, 350, 263, 1156, 638, 2489, 721, 907, 343, 671, 5345, 17, 289, 594, 577, 413, 491, 2414, 293, 1020, 433, 310, 350, 263, 2298, 8199, 3108, 17, 577, 544, 1143, 10899, 343, 3315, 17, 289, 864, 503, 557, 289, 557, 819, 945, 17, 343, 577, 544, 1265, 598, 598, 3932, 6, 628, 383, 10899, 1972, 10004, 1601, 821, 354, 598, 6519, 17, 312, 5000, 13555, 577, 1437, 18, 70, 18, 29463, 577, 3641, 2235, 16965, 339, 6810, 878, 8696, 15263, 289, 357, 4510, 293, 263, 995, 1706, 6810, 4950, 836, 266, 7140, 94, 2777, 610, 266, 3289, 2723, 18410, 17, 343, 467, 475, 772, 2046, 273, 266, 1542, 19, 6519, 363, 805, 341, 864, 263, 2783, 17, 2372, 266, 1758, 475, 660, 273, 384, 27688, 19454, 517, 2894, 17, 289, 461, 5703, 17, 347, 467, 8465, 340, 17, 3227, 650, 31147, 273, 2582, 289, 590, 1400, 17, 289, 731, 6065, 273, 10863, 289, 18089, 369, 413, 1280, 706, 5548, 420, 1036, 293, 266, 6407, 273, 266, 1493, 19, 2256, 26511, 7907, 17, 424, 2201, 2996, 1080, 17, 7658, 358, 770, 6730, 3133, 14875, 19, 1646, 4667, 27193, 343, 452, 11579, 13777, 19, 531, 1546, 343, 266, 2638, 17, 289, 598, 8555, 343, 384, 4896, 1972, 347, 357, 4141, 341, 17, 357, 3399, 3099, 293, 384, 3220, 3672, 347, 263, 8697, 273, 498, 429, 939, 279, 5474, 17, 288, 369, 357, 694, 8236, 4544, 289, 5629, 878, 266, 8514, 6100, 10338, 490, 358, 7225, 293, 369, 17, 288, 2002, 17, 1601, 821, 363, 1465, 1582, 26488, 19, 7093, 706, 1493, 16023, 909, 293, 4388, 9807, 17, 357, 457, 1101, 293, 2110, 339, 3886, 17, 9679 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4988, 17, 289, 17, 1226, 452, 17, 1330, 2468, 17, 413, 347, 12736, 293, 266, 7391, 517, 1562, 347, 293, 339, 273, 584, 532, 9063, 491, 354, 289, 339, 17, 2148, 5846, 6333, 289, 1319, 5234, 413, 601, 3259, 656, 3007, 440, 288, 263, 10744, 17, 263, 828, 3159, 557, 331, 2473, 293, 8900, 358, 4647, 17, 1712, 17, 890, 288, 263, 14826, 25895, 17, 266, 4792, 273, 384, 23472, 289, 266, 6183, 273, 384, 4444, 571, 3177, 340, 384, 498, 550, 5508, 3632, 2271, 19, 1601, 821, 457, 828, 14724, 17, 441, 341, 363, 263, 2510, 1351, 293, 2155, 503, 293, 4215, 500, 350, 3687, 864, 14909, 354, 289, 384, 2139, 30366, 4005, 17, 1488, 21027, 273, 263, 6136, 517, 828, 6069, 1066, 728, 503, 6027, 293, 384, 12609, 17, 2144, 421, 5902, 17, 289, 1008, 452, 288, 384, 1120, 293, 5553, 341, 17, 1072, 360, 12258, 289, 3123, 19, 2316, 26511, 7907, 517, 1530, 76, 420, 654, 347, 4203, 551, 11454, 517, 23898, 12, 864, 30531, 475, 4399, 340, 263, 4740, 2246, 273, 384, 3670, 289, 5157, 19, 4890, 5883, 273, 8594, 1633, 266, 5329, 1527, 557, 293, 266, 15275, 17, 774, 341, 9869, 1718, 4328, 660, 273, 3239, 273, 709, 318, 2604, 265, 517, 19, 370, 2732, 363, 8036, 354, 1601, 821, 1715, 384, 7089, 836, 17, 4179, 1110, 650, 263, 3093, 17, 289, 20079, 271, 443, 2080, 374, 266, 2138, 19, 598, 3864, 2235, 341, 1362, 4972, 814, 598, 781, 357, 354, 598, 289, 3641, 2235, 312, 2420, 17, 340, 263, 945, 864, 421, 17, 339, 312, 363, 456, 70, 1407, 863, 4808, 5757, 312, 1080, 17, 6519, 17, 312, 806, 426, 263, 8485, 490, 312, 856, 21336, 288, 1425, 598, 531, 350, 577, 1972, 363, 266, 5152, 354, 598, 312, 26585, 2235, 457, 263, 13285, 1712, 312, 5011, 279, 266, 12155, 998, 1105, 354, 668, 424, 5900, 2235, 6038, 288, 1111, 785, 17, 343, 312, 6413, 835, 10683, 293, 2345, 551, 575, 273, 339, 402, 29035, 279, 729, 5390, 793, 354, 598, 289, 288, 1208, 3584, 17, 288, 951, 273, 667, 791, 18, 73, 1612, 4733, 4598, 340, 266, 15275, 17, 263, 10372, 273, 23078, 289, 263, 15124, 273, 8534, 4204, 266, 4952, 17, 3361, 667, 1706, 2258, 942, 306, 1359, 17, 1280, 289, 24105, 17, 9023, 7159, 925, 1902, 10572, 348, 6789, 2827, 19, 266, 3908, 9479, 347, 461, 11655, 295, 917, 17, 26878, 17, 3227, 650, 461, 3134, 17, 479, 4859, 505, 461, 1514, 17, 289, 4279, 452, 731, 5406, 1719, 350, 369, 27019, 13285, 29158, 10107, 703, 461, 10099, 273, 461, 6136, 6376, 19, 987, 1440, 2663, 1233, 15519, 467, 825, 5027, 19, 2451, 17, 424, 1465, 1326, 341, 806, 306, 4979, 266, 732, 8362, 347, 21487, 354, 577, 413, 6554, 505, 350, 2996, 358, 7225, 490, 577, 1089, 293, 1129, 616, 350, 266, 10680, 273, 263, 2783, 490, 577, 1627, 263, 9931, 273, 12653, 17, 289, 263, 6633, 11332, 805, 1455, 17, 288, 1278, 2859, 297, 266, 29743, 2596, 491, 7149, 4320, 88, 273, 972, 17, 289, 25620, 8069, 2834, 577, 864, 263, 27237, 339, 5791, 556, 25789, 19, 370, 13357, 1932, 448, 962, 339, 835, 5575, 273, 2605, 1849, 2640, 14462, 17, 289, 266, 598, 1156, 6353, 273, 26030, 598, 972, 1089, 293, 835, 20023, 297, 8872, 864, 347, 817, 10752, 19, 2324, 24630, 835, 1154, 3947, 266, 2723, 9505, 11196, 17, 289, 18402, 266, 3655, 7230, 407, 835, 11043, 17, 3241, 2557, 5011, 26294, 701, 26294, 17, 347, 467, 1340, 896, 3113, 288, 17, 289, 350, 263, 3235, 17, 4268, 2468, 273, 6207, 289, 18089, 17, 577, 8957, 14395, 660, 293, 2138, 19, 1743, 421, 637, 667, 4733, 278, 21617, 2707, 289, 7567, 17, 441, 6519, 17, 470, 457, 398, 2733, 421, 6136, 30445, 343, 263, 1699, 273, 676, 17, 363, 890, 557, 11184, 602, 384, 1493, 8139, 350, 384, 22664, 21858, 354, 289, 594, 266, 13993, 3289, 1275, 289, 266, 2094, 3908, 4761, 3025, 293, 1412, 263, 1335, 81, 273, 1706, 17, 357, 22841, 1718, 350, 785, 17, 9616, 26128, 293, 681, 263, 2605, 407, 266, 4952, 347, 890, 1601, 821, 17, 449, 20346, 273, 3687, 441, 5542, 16234, 17, 1353, 805, 18, 3058, 23011, 289, 28194, 19, 370, 1671, 363, 8812, 3113, 407, 266, 972, 17, 594, 17, 340, 4569, 343, 384, 8139, 17, 341, 5112, 503, 339, 6519, 17, 288, 266, 836, 297, 17, 363, 2325, 1834, 940, 273, 6355, 19, 14797, 357, 2144, 263, 17284, 18797, 1560, 17, 289, 357, 1585, 1353, 357, 2247, 263, 2737, 925, 266, 18631, 273, 266, 8783, 1092, 266, 396, 19749, 19, 598, 1297, 452, 339, 517, 10645, 17, 357, 517, 288, 7530, 1972, 363, 1601, 821, 517, 6100, 30125, 354, 289, 3361, 357, 1353, 341, 266, 11229, 4530, 363, 5450, 660, 343, 1073, 289, 1327, 293, 2283, 384, 2139, 19, 1979, 263, 2605, 341, 2779, 807, 289, 762, 384, 10958, 289, 19928, 263, 1553, 350, 266, 785, 17, 24955, 9348, 339, 6481, 503, 3099, 807, 1601, 821, 1066, 3048, 794, 767, 1733, 961, 21487, 942, 306, 32, 289, 772, 306, 536, 4072, 266, 3476, 357, 20284, 374, 734, 357, 23432, 770, 23706, 56, 10069, 11791, 5776, 17491, 19, 1945, 1076, 288, 266, 972, 490, 767, 331, 421, 814, 8975, 2233, 6787, 807, 6327, 20732, 4005, 331, 1110, 807, 441, 537, 331, 263, 1175, 328, 1384, 5972, 273, 2723, 289, 1706, 398, 1481, 6353, 794, 503, 17, 289, 266, 3501, 1284, 281, 1983, 2756, 266, 2008, 289, 3772, 505, 6055, 384, 2139, 517, 25533, 1337, 360, 266, 4397, 354, 289, 772, 467, 413, 1072, 1110, 787, 17, 343, 1601, 821, 331, 17536, 17, 289, 536, 398, 794, 7773, 266, 2510, 21753, 273, 11420, 4619, 263, 491, 407, 12299, 297, 19, 801, 357, 3772, 505, 1527, 557, 17, 289, 396, 2307, 384, 1154, 17, 289, 9681, 88, 289, 726, 325, 963, 27167, 293, 266, 583, 2676, 4397, 17, 339, 890, 288, 266, 972, 536, 263, 1327, 3065, 14263, 1082, 400, 288, 384, 8186, 19, 620, 331, 8462, 2080, 17536, 772, 17, 289, 263, 11196, 3480, 503, 1286, 1383, 289, 8589, 503, 805, 490, 357, 331, 708, 30366, 4005, 17, 289, 421, 676, 357, 668, 3772, 505, 343, 358, 6345, 293, 776, 708, 787, 17, 350, 263, 1134, 1046, 1036, 3591, 374, 384, 6394, 17, 289, 263, 6884, 3999, 340, 384, 6601, 19, 2451, 357, 316, 364, 1056, 374, 266, 3655, 972, 339, 1932, 293, 5860, 1337, 17, 289, 6468, 17, 289, 1154, 354, 289, 772, 357, 2001, 293, 306, 25327, 1384, 1738, 289, 1738, 354, 6024, 331, 2723, 289, 23412, 94, 490, 537, 331, 2922, 23211, 794, 384, 2361, 490, 289, 263, 3591, 273, 8520, 2393, 291, 30496, 503, 293, 12625, 341, 19, 370, 2714, 1521, 30422, 617, 331, 601, 962, 490, 263, 27701, 273, 1706, 1319, 19598, 591, 384, 2109, 17, 289, 266, 4761, 4715, 805, 503, 17, 347, 357, 8291, 340, 293, 30366, 4005, 517, 4397, 350, 266, 726, 4828, 273, 263, 12299, 297, 491, 19, 3523, 28931, 2619, 19, 770, 23706, 56, 10069, 11791, 5776, 17491, 19, 12474, 9746, 18, 7341, 517, 10033, 7046, 490, 3100, 7381, 40, 713, 2480, 715, 15797, 13358, 490, 770, 14529, 1250, 50, 2478, 12674, 490, 319, 9723, 13137, 23361, 21902, 51, 770, 24177, 21148, 12, 56, 318, 2480, 22229, 490, 29437, 21980, 3717, 893, 1500, 10347, 5619, 50, 2467, 713, 490, 3100, 25185, 9854, 11658, 2593, 56, 1607, 490, 8121, 16112, 25518, 416, 2268, 13867, 490, 319, 8107, 40, 922, 15797, 14638, 1637, 46, 45, 7412, 19, 372, 30733, 17, 1847, 17, 555, 511, 1437, 266, 1432, 761, 762, 266, 532, 1437, 2933, 19, 19712, 412, 331, 341, 343, 540, 452, 17, 339, 424, 373, 1255, 2699, 266, 14740, 1125, 17, 1074, 266, 14239, 273, 13506, 759, 17, 339, 1008, 461, 8732, 681, 828, 2403, 288, 266, 22460, 8922, 19, 987, 942, 628, 13770, 17, 398, 293, 1080, 29672, 17, 825, 424, 900, 637, 9234, 2023, 10572, 348, 6789, 2827, 19, 289, 15339, 343, 511, 1511, 1437, 18, 25163, 701, 467, 426, 1314, 637, 3239, 354, 825, 424, 959, 500, 17, 594, 467, 1326, 497, 9331, 2287, 331, 650, 461, 6065, 17, 424, 942, 8297, 368, 424, 942, 16248, 17, 1643, 347, 637, 19474, 23975, 650, 266, 8936, 296, 368, 266, 28201, 608, 19, 3942, 331, 537, 2240, 339, 1465, 28402, 19, 2024, 3772, 341, 339, 594, 424, 9298, 4352, 407, 491, 17, 424, 1326, 497, 7840, 293, 14413, 637, 27378, 293, 491, 517, 14475, 320, 1304, 263, 945, 1340, 594, 6024, 856, 306, 728, 1563, 36, 594, 537, 544, 306, 497, 557, 28025, 490, 497, 557, 29595, 490, 497, 557, 3406, 1007, 6905, 340, 266, 1477, 18, 11733, 289, 6905, 288, 266, 8314, 22, 36, 1162, 544, 306, 575, 4396, 28654, 273, 2450, 594, 339, 945, 1518, 1340, 490, 749, 3876, 12733, 289, 271, 18982, 407, 266, 1196, 16090, 1086, 490, 749, 10210, 7840, 17, 289, 21955, 23835, 17, 594, 266, 11043, 619, 497, 557, 306, 2769, 17, 1074, 266, 2722, 27362, 19, 598, 10997, 263, 8203, 424, 694, 1326, 448, 912, 273, 6373, 1654, 266, 4394, 3772, 2655, 354, 490, 288, 266, 15832, 424, 776, 6027, 311, 340, 17, 4067, 1717, 289, 13046, 490, 424, 761, 441, 912, 273, 637, 3154, 17, 289, 424, 3425, 288, 3028, 637, 3154, 5791, 1561, 3094, 793, 540, 354, 448, 424, 3837, 386, 793, 288, 266, 2094, 17, 289, 891, 341, 4458, 19, 2316, 26511, 7907, 17, 340, 266, 29496, 17, 3048, 1561, 273, 767, 29412, 363, 6707, 793, 17, 398, 1532, 1514, 407, 551, 490, 3048, 1561, 793, 1601, 821, 17, 19853, 8962, 2282, 343, 1073, 1437, 18, 70, 18, 82, 723, 660, 374, 2138, 734, 3048, 1561, 793, 266, 2853, 729, 457, 1314, 293, 1220, 3175, 273, 551, 1542, 18, 3211, 490, 263, 13790, 273, 29595, 17, 448, 9196, 1027, 17, 289, 9448, 501, 2832, 1594, 17, 748, 313, 11110, 660, 273, 598, 370, 4620, 21617, 20, 347, 12606, 347, 528, 21069, 4166, 293, 1146, 358, 1106, 19960, 4244, 17, 3746, 1878, 712, 2849, 293, 266, 1401, 273, 12287, 517, 1493, 289, 3980, 1658, 17, 729, 470, 13678, 407, 266, 21503, 517, 13616, 12600, 864, 263, 19678, 7666, 19, 3661, 528, 21069, 17, 19405, 17, 363, 30896, 263, 3539, 18, 6572, 17, 289, 7329, 343, 23330, 17, 31281, 339, 729, 457, 1314, 263, 29155, 18, 72, 489, 310, 757, 1778, 1949, 293, 263, 15124, 273, 396, 520, 654, 288, 266, 1551, 18, 4955, 742, 1277, 17, 339, 598, 266, 22784, 18, 5338, 1972, 347, 729, 1116, 341, 17, 363, 598, 274, 266, 300, 2211, 1972, 289, 537, 363, 13135, 293, 2795, 266, 3128, 3539, 19, 795, 998, 3536, 273, 27826, 363, 266, 1341, 273, 8477, 960, 358, 5558, 13909, 340, 511, 470, 457, 1906, 288, 551, 1511, 1073, 1563, 8439, 289, 10735, 1019, 557, 602, 2414, 19, 3062, 1029, 406, 3930, 457, 8465, 770, 23706, 56, 10069, 11791, 5776, 17491, 19, 1981, 505, 293, 266, 21877, 8407, 18, 12344, 9191, 11068, 350, 263, 10711, 5243, 289, 263, 4121, 1347, 354, 441, 594, 551, 16550, 363, 787, 289, 787, 13120, 8277, 17, 289, 266, 4550, 273, 6093, 660, 890, 2316, 26511, 7907, 517, 4406, 2171, 13501, 17, 729, 5240, 1718, 350, 266, 4121, 17, 3198, 1178, 1640, 273, 511, 470, 536, 6481, 266, 998, 14907, 407, 266, 516, 1463, 878, 21912, 266, 1670, 17, 289, 7231, 293, 1734, 641, 6333, 289, 6551, 413, 1847, 6069, 273, 266, 8514, 2930, 293, 637, 12145, 17, 289, 1740, 6027, 5376, 331, 398, 266, 4272, 5366, 273, 452, 1070, 2756, 19, 370, 2183, 5654, 30295, 650, 266, 18675, 17, 289, 537, 363, 398, 263, 4042, 273, 1640, 293, 10001, 731, 14217, 6870, 288, 266, 985, 1553, 289, 7140, 94, 4480, 490, 1101, 3062, 1291, 551, 2359, 17, 1134, 1046, 1036, 13264, 1110, 794, 551, 2361, 289, 3623, 1275, 551, 12281, 347, 729, 2039, 2340, 407, 551, 13501, 29817, 354, 343, 293, 658, 25074, 729, 363, 4050, 293, 7217, 17, 1606, 288, 266, 1369, 410, 1121, 288, 266, 1432, 17, 289, 266, 706, 25335, 3735, 288, 2356, 17, 729, 363, 8594, 340, 2406, 17, 878, 263, 8139, 368, 263, 491, 18, 21917, 427, 19, 598, 30187, 17, 339, 598, 88, 263, 828, 18, 11201, 2853, 807, 598, 781, 3287, 16406, 379, 417, 293, 384, 2139, 17, 1087, 908, 9480, 7293, 894, 534, 79, 598, 75 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 486, 18, 450, 776, 268, 17, 1111, 17, 441, 2794, 405, 805, 266, 18675, 19, 1155, 341, 363, 398, 448, 23509, 311, 3201, 17, 456, 718, 19788, 949, 424, 942, 2752, 805, 289, 2155, 263, 1362, 374, 551, 1425, 598, 15178, 1582, 6071, 476, 1972, 4028, 1087, 908, 9480, 17, 470, 17, 692, 601, 1493, 289, 263, 12081, 18, 4332, 1911, 863, 17, 363, 273, 1509, 803, 646, 354, 598, 441, 312, 3641, 2235, 1374, 17, 293, 18383, 577, 17, 490, 668, 5440, 577, 5900, 2235, 994, 551, 2223, 293, 476, 1425, 1142, 17, 347, 3287, 16406, 379, 417, 3227, 505, 384, 287, 20505, 9212, 17, 1087, 908, 9480, 2039, 925, 266, 732, 4983, 1619, 1898, 17, 343, 2786, 1092, 266, 676, 594, 384, 887, 694, 1867, 32, 289, 266, 10372, 599, 447, 3744, 30804, 340, 17, 289, 17, 360, 263, 15021, 423, 28016, 269, 17, 1566, 598, 1245, 4488, 266, 21324, 598, 273, 3062, 1029, 406, 3930, 19, 987, 571, 306, 3471, 767, 667, 681, 27663, 530, 295, 489, 440, 347, 828, 18, 11201, 16406, 379, 417, 17, 273, 266, 6782, 417, 17, 289, 1087, 908, 9480, 7293, 894, 534, 17, 273, 266, 446, 12081, 18, 18640, 17, 694, 306, 4114, 288, 1298, 374, 421, 676, 273, 266, 1105, 19, 987, 1363, 2150, 354, 343, 1658, 368, 2441, 2099, 734, 263, 18603, 272, 3103, 273, 266, 511, 289, 263, 12245, 273, 266, 532, 692, 266, 667, 3281, 339, 1683, 9393, 1493, 4733, 293, 266, 11669, 17, 594, 461, 1001, 3076, 8492, 413, 452, 598, 24553, 289, 3559, 1425, 1259, 341, 762, 341, 571, 17, 537, 467, 475, 17, 289, 2061, 10572, 348, 6789, 2827, 19, 3062, 1029, 406, 3930, 5541, 500, 18111, 3145, 17, 347, 17, 1403, 288, 551, 18672, 17, 467, 728, 19160, 9965, 12116, 4145, 650, 551, 3822, 17, 18727, 591, 17, 289, 1196, 2304, 17, 369, 942, 426, 496, 19081, 641, 805, 725, 438, 6023, 1236, 17, 441, 369, 17, 708, 266, 2400, 17, 475, 7149, 4440, 24546, 308, 289, 755, 28787, 19, 598, 312, 1326, 312, 598, 2071, 2155, 3099, 17, 289, 2212, 551, 641, 729, 598, 88, 2985, 2340, 1972, 781, 16406, 379, 417, 32, 289, 17, 1335, 1384, 384, 606, 1956, 287, 20505, 9212, 17, 357, 3623, 1275, 384, 12281, 293, 1002, 421, 3152, 297, 13514, 293, 358, 7307, 3763, 1213, 2853, 19, 3062, 517, 1630, 8761, 288, 551, 6239, 490, 729, 363, 263, 7391, 517, 3071, 20054, 289, 551, 1846, 517, 1836, 23053, 551, 1347, 1654, 341, 2707, 347, 641, 341, 597, 436, 2641, 551, 490, 729, 726, 275, 1553, 551, 785, 6414, 1217, 17, 289, 1353, 17, 1585, 16701, 525, 598, 3932, 17, 641, 312, 475, 441, 263, 491, 293, 8957, 266, 16787, 293, 266, 1881, 807, 490, 7287, 17, 641, 312, 475, 441, 263, 491, 293, 13274, 503, 347, 357, 5120, 807, 598, 531, 681, 263, 16234, 3312, 426, 9058, 1630, 2372, 772, 17, 441, 266, 8701, 1363, 998, 490, 266, 9718, 1111, 6754, 17969, 354, 289, 17, 12882, 343, 2853, 517, 6032, 289, 2853, 517, 7739, 807, 3062, 2970, 266, 4808, 26716, 30384, 350, 266, 1520, 4083, 9899, 289, 266, 8209, 7009, 273, 263, 5006, 17, 289, 748, 490, 729, 6913, 610, 5897, 19, 578, 363, 1111, 749, 354, 13423, 17, 8265, 17, 289, 13909, 457, 9688, 551, 5482, 17, 289, 729, 825, 426, 4940, 3913, 343, 266, 7739, 17, 441, 729, 448, 71, 2817, 864, 263, 1357, 19, 16406, 379, 417, 363, 263, 828, 18, 24108, 491, 17, 289, 263, 828, 3537, 17, 347, 341, 331, 1116, 17, 374, 1347, 490, 357, 363, 1433, 279, 289, 6305, 13267, 273, 1076, 19, 620, 1715, 384, 5051, 836, 347, 641, 729, 457, 496, 263, 24455, 17, 289, 350, 263, 14691, 339, 17662, 421, 363, 398, 263, 740, 7799, 17, 289, 1008, 557, 5806, 293, 384, 14837, 602, 384, 21944, 17, 357, 14938, 551, 7663, 17, 289, 5999, 551, 357, 1353, 729, 363, 598, 384, 10683, 12, 490, 598, 31697, 263, 7148, 17, 792, 12, 346, 17, 312, 11117, 577, 490, 2469, 13672, 476, 490, 828, 2427, 354, 598, 289, 448, 18449, 1076, 836, 1661, 18, 265, 18, 2238, 350, 384, 8139, 17, 470, 457, 4816, 358, 3555, 30763, 1114, 17325, 17, 1585, 572, 1182, 27804, 288, 511, 448, 1493, 17, 1317, 266, 1079, 11711, 19, 908, 3062, 1029, 406, 3930, 8465, 340, 17, 289, 3875, 6925, 551, 618, 6075, 17, 729, 11607, 2895, 21939, 340, 551, 6746, 17, 289, 19213, 20416, 23706, 56, 10069, 11791, 5776, 17491, 19, 267, 28, 3399, 1551, 650, 551, 1073, 350, 263, 3591, 273, 15012, 17, 339, 343, 263, 2385, 2779, 1585, 293, 17419, 5105, 332, 10599, 339, 729, 457, 398, 457, 263, 2343, 4550, 19, 578, 363, 441, 343, 263, 2385, 490, 3062, 457, 496, 2411, 279, 288, 31032, 17, 289, 457, 1469, 935, 360, 556, 15015, 19, 531, 575, 10283, 273, 1073, 681, 263, 19474, 347, 18716, 942, 426, 496, 21805, 293, 1867, 3809, 15877, 289, 498, 2867, 2976, 19, 1732, 13986, 273, 828, 597, 426, 496, 601, 995, 17, 289, 729, 597, 426, 3399, 1110, 350, 7084, 650, 266, 18409, 3814, 5234, 339, 11158, 266, 2527, 273, 551, 3537, 18, 24098, 957, 19, 801, 9972, 289, 17639, 457, 5182, 551, 817, 263, 13380, 17, 1733, 293, 2110, 17, 441, 21377, 293, 6102, 19, 1979, 457, 729, 293, 555, 350, 6032, 320, 490, 263, 1831, 293, 306, 3471, 17, 641, 577, 15567, 551, 7334, 17, 11899, 3822, 17, 350, 556, 21611, 18555, 289, 8209, 13832, 957, 490, 551, 18736, 18, 3065, 1154, 17, 1166, 340, 347, 641, 266, 3727, 457, 14781, 556, 8640, 350, 384, 498, 268, 1811, 29742, 462, 490, 551, 2094, 17, 1983, 18, 3446, 5150, 2287, 17, 350, 556, 785, 300, 14387, 17, 1225, 3298, 263, 1432, 273, 31559, 17, 9679, 17, 6573, 17, 289, 8936, 17, 343, 266, 3874, 491, 470, 825, 10039, 341, 1187, 310, 610, 1658, 490, 551, 7220, 1178, 31049, 289, 3431, 3650, 2894, 17, 551, 1846, 517, 26978, 17, 350, 266, 6333, 341, 306, 285, 80, 1275, 490, 551, 2363, 17, 1658, 530, 11043, 17, 350, 556, 6945, 273, 2359, 17, 2094, 3190, 4397, 8817, 2135, 1300, 340, 981, 1286, 273, 339, 3898, 17, 373, 21721, 2361, 17, 2710, 288, 266, 1983, 4244, 369, 17969, 668, 350, 266, 18353, 273, 2853, 3026, 354, 350, 452, 421, 729, 942, 426, 496, 263, 5006, 17, 1101, 767, 457, 729, 293, 555, 350, 6032, 814, 490, 263, 1831, 398, 293, 306, 3471, 273, 263, 2139, 1178, 17, 18509, 2853, 17, 478, 514, 3113, 2456, 266, 6288, 288, 266, 18800, 331, 12768, 273, 300, 12779, 1594, 288, 1298, 17, 25137, 551, 3785, 288, 266, 15766, 343, 3436, 17, 14995, 551, 8317, 7912, 71, 603, 288, 266, 1452, 514, 76, 1277, 273, 263, 3963, 5555, 18, 82, 443, 626, 19, 1979, 263, 6746, 641, 537, 475, 1561, 2719, 807, 991, 3405, 2093, 288, 339, 25756, 94, 6145, 490, 293, 10376, 12478, 311, 340, 681, 263, 10197, 10491, 347, 266, 3213, 517, 16416, 1851, 3539, 597, 14671, 14525, 343, 551, 9868, 517, 284, 547, 310, 490, 293, 2516, 266, 18800, 15000, 343, 266, 2597, 1122, 18800, 5740, 354, 945, 701, 945, 293, 1077, 266, 732, 1738, 17, 8555, 650, 8299, 6455, 289, 19532, 2065, 490, 945, 701, 945, 293, 10859, 26691, 8186, 805, 266, 2877, 18, 5574, 25799, 436, 7125, 490, 293, 7936, 322, 266, 9984, 273, 3028, 610, 598, 511, 490, 667, 490, 954, 490, 1171, 1972, 598, 511, 490, 8117, 490, 954, 490, 1171, 1972, 490, 289, 945, 701, 945, 293, 1399, 17, 25925, 5111, 10572, 348, 6789, 2827, 19, 660, 288, 1337, 289, 1374, 17, 293, 266, 8474, 2434, 369, 1363, 306, 1116, 263, 2340, 17, 289, 266, 6070, 273, 369, 17, 2997, 340, 1565, 273, 266, 3752, 17, 8656, 2175, 505, 266, 1733, 18, 74, 19856, 10889, 339, 694, 12555, 412, 289, 3082, 556, 6325, 6181, 32, 350, 1561, 293, 6530, 17, 1561, 293, 21952, 17, 1561, 293, 644, 4253, 17, 398, 890, 266, 9931, 273, 339, 3785, 369, 331, 668, 263, 1677, 273, 21817, 289, 1515, 32, 289, 17, 1226, 452, 17, 350, 1561, 293, 1658, 490, 767, 263, 6746, 597, 421, 306, 17, 475, 537, 398, 263, 2922, 293, 1362, 3099, 293, 490, 263, 6598, 2137, 339, 421, 331, 441, 263, 1063, 273, 4152, 289, 1479, 367, 734, 263, 6598, 5067, 339, 266, 6216, 331, 2585, 293, 1340, 374, 998, 807, 741, 470, 363, 3062, 1029, 406, 3930, 814, 2240, 273, 266, 817, 3688, 273, 263, 1357, 5876, 343, 266, 6553, 273, 556, 6455, 19, 987, 426, 781, 551, 1846, 363, 263, 7391, 17, 441, 17, 12882, 807, 551, 2511, 1066, 363, 17, 4751, 4493, 17, 2316, 1029, 406, 3930, 19, 8212, 2853, 17, 729, 5374, 551, 511, 7220, 17, 289, 23723, 729, 374, 4764, 343, 341, 19, 1764, 6507, 266, 3539, 650, 3913, 17, 289, 551, 6907, 1715, 828, 1461, 339, 341, 694, 1066, 787, 1412, 263, 436, 977, 1564, 293, 994, 551, 288, 19, 24993, 500, 343, 339, 807, 729, 363, 398, 263, 1310, 1410, 293, 306, 5577, 17, 289, 729, 3541, 6039, 19, 3287, 1029, 406, 3930, 597, 426, 4284, 551, 17, 457, 357, 1353, 681, 263, 6517, 340, 384, 545, 597, 426, 5850, 551, 2328, 17, 343, 357, 6631, 551, 23723, 354, 441, 357, 3048, 341, 825, 306, 273, 497, 1146, 17, 288, 263, 12660, 1473, 273, 1505, 17, 266, 668, 511, 288, 369, 357, 2243, 266, 1094, 17, 448, 357, 1291, 341, 836, 289, 1291, 341, 836, 17, 1654, 1111, 1916, 19, 1764, 1066, 10061, 273, 266, 12867, 1574, 551, 17, 441, 341, 7022, 551, 1347, 19, 2500, 288, 3785, 289, 29201, 17, 729, 457, 2320, 1718, 350, 266, 5955, 17, 1493, 10922, 4647, 1582, 602, 306, 5643, 610, 263, 11358, 369, 729, 1828, 2476, 17, 360, 263, 5243, 18, 17078, 729, 17199, 19, 1764, 457, 441, 511, 1357, 17, 289, 340, 339, 1357, 17, 341, 331, 17149, 293, 1080, 17, 729, 295, 2630, 10988, 311, 19, 1029, 406, 3930, 363, 263, 4142, 3537, 17, 3863, 18, 12676, 279, 293, 263, 7220, 17, 10556, 273, 266, 1432, 517, 1984, 17, 289, 273, 6024, 441, 384, 887, 5402, 289, 5962, 76, 1806, 354, 263, 11229, 7391, 17, 5792, 17, 347, 7525, 347, 263, 8407, 17, 289, 263, 1948, 2615, 288, 266, 17879, 273, 2312, 3567, 360, 384, 3672, 19, 3942, 17, 343, 452, 421, 17, 357, 3023, 266, 2511, 273, 384, 1357, 293, 776, 650, 266, 4384, 17, 708, 263, 31102, 1103, 17, 339, 357, 942, 2933, 288, 13937, 650, 551, 14843, 654, 19, 28117, 17, 341, 571, 770, 23706, 19, 56, 1672, 48, 11791, 5776, 17491, 19, 446, 4380, 306, 17, 343, 452, 4497, 17, 266, 10922, 4647, 2288, 643, 5924, 2368, 660, 23898, 1119, 84, 5533, 17, 289, 363, 11649, 350, 263, 4388, 12436, 575, 1481, 1476, 2096, 19, 620, 1314, 452, 357, 457, 17, 263, 976, 284, 3866, 512, 17, 293, 266, 2853, 357, 457, 448, 5841, 8811, 17, 289, 729, 6966, 350, 551, 3071, 610, 263, 6598, 11573, 288, 266, 2357, 273, 1396, 17, 774, 17, 343, 263, 676, 17, 467, 4211, 347, 3874, 347, 266, 945, 331, 785, 19, 1732, 1079, 17407, 475, 5717, 293, 266, 4379, 273, 551, 1357, 19, 1764, 5182, 551, 452, 729, 457, 3913, 3748, 490, 497, 1960, 3198, 273, 30796, 490, 289, 1493, 3062, 1029, 406, 3930, 419, 2202, 17, 360, 266, 9403, 4647, 517, 2420, 17, 467, 1465, 6071, 384, 1103, 14, 363, 22390, 1005, 2719, 532, 9696, 273, 551, 1947, 288, 266, 11899, 29201, 273, 2853, 3026, 17, 347, 791, 347, 288, 731, 9992, 8796, 369, 16186, 266, 1374, 289, 632, 266, 1401, 273, 4318, 19, 801, 3062, 517, 5933, 3026, 457, 358, 2930, 17, 288, 369, 551, 2511, 517, 363, 11811, 19, 1456, 2511, 17, 350, 266, 20679, 273, 511, 610, 1488, 2877, 266, 2598, 457, 5841, 3330, 17, 11583, 650, 551, 3071, 266, 13380, 729, 457, 3913, 448, 28523, 3748, 525, 598, 10597, 398, 835, 3425, 288, 491, 1972, 363, 266, 3156, 273, 817, 263, 10886, 763, 10404, 94, 17, 817, 263, 18877, 5102, 829, 17, 407, 266, 8598, 427, 16030, 293, 551, 9354, 1357, 32, 289, 17, 1108, 266, 5933, 517, 2050, 363, 20120, 16143, 288, 266, 14154, 273, 266, 7164, 17, 341, 363, 26747, 452, 266, 557, 8504, 288, 21605, 340, 384, 14475 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19, 370, 2511, 517, 2308, 363, 441, 26227, 19, 28611, 729, 1353, 17, 598, 1979, 544, 1849, 273, 3062, 594, 312, 806, 2516, 551, 2271, 288, 266, 1432, 320, 598, 289, 17, 1021, 912, 3145, 293, 14023, 17, 729, 20919, 293, 551, 23303, 339, 1498, 26978, 273, 452, 17, 266, 551, 292, 661, 273, 358, 12075, 2877, 19, 8212, 1770, 807, 551, 887, 3854, 457, 496, 20120, 3893, 360, 8265, 289, 13909, 17, 289, 266, 1347, 18, 2330, 1778, 7750, 339, 729, 457, 1140, 505, 2340, 17, 5402, 17, 2255, 17, 828, 4544, 17, 6024, 17, 293, 26481, 551, 1493, 2931, 1658, 340, 358, 12276, 1397, 19, 3932, 807, 266, 4160, 3414, 8836, 273, 339, 2385, 17, 594, 740, 266, 8955, 517, 20162, 331, 790, 293, 306, 263, 12120, 807, 594, 740, 266, 18800, 1530, 17297, 12631, 88, 650, 540, 17, 339, 266, 692, 343, 1289, 424, 426, 16153, 637, 11709, 452, 17, 289, 4191, 341, 350, 263, 8297, 490, 1289, 424, 426, 973, 1381, 350, 452, 266, 13360, 343, 369, 637, 887, 1347, 1105, 2323, 490, 1289, 424, 426, 9462, 350, 266, 22954, 9549, 273, 6407, 17, 289, 378, 4802, 288, 266, 4054, 16189, 344, 273, 637, 887, 1771, 10572, 348, 6789, 2827, 19, 7624, 490, 1289, 424, 426, 3095, 650, 263, 29360, 17, 293, 951, 637, 4277, 3947, 556, 1514, 17, 331, 441, 263, 4356, 368, 263, 3093, 17, 701, 452, 807, 8212, 12432, 417, 807, 413, 424, 398, 12272, 13367, 320, 7549, 424, 398, 13568, 491, 293, 306, 637, 927, 320, 289, 856, 424, 5012, 266, 1770, 273, 6536, 350, 22567, 320, 1006, 354, 266, 601, 7177, 331, 728, 293, 2834, 556, 887, 24190, 19, 27813, 339, 424, 694, 3613, 1110, 293, 266, 7140, 17, 350, 18017, 289, 8741, 5285, 17, 602, 2933, 340, 288, 266, 4117, 31844, 273, 263, 4054, 5012, 17, 288, 266, 21763, 273, 263, 2877, 517, 15678, 293, 263, 9331, 20835, 19, 8212, 2316, 1029, 406, 3930, 419, 2202, 347, 681, 363, 266, 25924, 3213, 1563, 14, 6071, 551, 6599, 878, 263, 15050, 354, 441, 341, 363, 263, 5561, 6920, 293, 2516, 3062, 1184, 10029, 17, 594, 17503, 2582, 289, 25137, 7884, 19418, 551, 339, 729, 806, 1538, 2801, 19, 370, 5933, 363, 288, 266, 740, 9286, 8793, 273, 2853, 3026, 17, 3457, 289, 2710, 347, 641, 729, 457, 1066, 1563, 5690, 368, 3200, 18, 31983, 354, 289, 806, 729, 2516, 551, 772, 17, 594, 706, 729, 7414, 263, 2511, 517, 1461, 320, 927, 517, 544, 306, 1574, 807, 1162, 331, 263, 6598, 4700, 17, 288, 266, 8314, 273, 263, 6966, 23273, 17, 1005, 1718, 288, 266, 2357, 17, 3510, 360, 263, 2926, 5150, 3093, 17, 289, 266, 21109, 3070, 273, 263, 1103, 490, 1561, 557, 354, 289, 537, 266, 3479, 1528, 276, 440, 413, 5430, 805, 266, 1154, 273, 511, 470, 6631, 398, 16957, 490, 470, 1462, 509, 17, 289, 363, 23224, 17, 441, 398, 1070, 19, 3062, 1029, 406, 3930, 363, 1314, 293, 1319, 2775, 18, 27771, 1092, 266, 1432, 19, 319, 1733, 3831, 341, 331, 343, 731, 470, 413, 398, 5094, 350, 266, 10725, 3796, 273, 1218, 19, 370, 976, 1552, 20919, 293, 551, 360, 551, 2511, 517, 1461, 363, 12781, 288, 263, 6291, 654, 12, 4171, 17, 369, 6307, 19, 1297, 266, 1151, 17, 266, 8729, 363, 6023, 1236, 2455, 288, 266, 2427, 5324, 17, 289, 14730, 273, 6291, 654, 12, 5719, 17, 347, 467, 270, 7295, 461, 10967, 17, 6406, 17, 598, 6064, 807, 1208, 273, 658, 13703, 7022, 525, 8196, 393, 3460, 1809, 18442, 17, 497, 1734, 1425, 987, 2137, 341, 3186, 263, 12503, 293, 500, 17, 293, 1362, 263, 912, 4629, 610, 4875, 369, 467, 457, 24882, 1474, 293, 9911, 17, 289, 398, 293, 702, 17171, 1437, 358, 2653, 517, 2541, 17, 594, 681, 263, 10511, 7225, 942, 8995, 836, 266, 1209, 336, 20746, 407, 461, 6598, 9324, 19, 1979, 363, 3062, 293, 555, 320, 6581, 551, 3785, 289, 266, 18436, 340, 551, 1551, 17, 729, 457, 13307, 1561, 19, 741, 1101, 266, 5933, 517, 1347, 1066, 19613, 343, 770, 23706, 56, 10069, 11791, 5166, 48, 17491, 19, 647, 2071, 263, 2385, 354, 729, 363, 4683, 273, 339, 31312, 11516, 18, 17772, 6514, 17, 343, 369, 537, 331, 497, 1698, 1103, 602, 266, 1434, 27714, 733, 511, 273, 598, 18137, 1425, 5797, 729, 496, 263, 491, 17, 729, 597, 426, 3367, 3913, 354, 347, 341, 363, 17, 1940, 266, 6598, 545, 729, 457, 293, 2980, 2473, 557, 6333, 17, 3200, 18, 18924, 489, 17, 289, 3200, 269, 16852, 602, 266, 8697, 273, 817, 263, 5349, 19, 2240, 2930, 729, 457, 805, 817, 1324, 3359, 16392, 308, 734, 551, 8317, 475, 7459, 17, 551, 4379, 457, 496, 3335, 17, 289, 266, 1978, 4759, 374, 369, 729, 3638, 11616, 17, 339, 729, 806, 306, 263, 27809, 759, 368, 12358, 288, 263, 2411, 19, 370, 1541, 3752, 537, 363, 749, 3108, 288, 21912, 17, 6069, 369, 413, 30084, 288, 263, 3213, 692, 2243, 606, 26772, 88, 293, 263, 27809, 759, 354, 441, 4318, 289, 828, 6683, 413, 398, 448, 749, 660, 273, 951, 288, 266, 1671, 354, 289, 3062, 17, 701, 2111, 3108, 17, 289, 263, 30605, 9121, 17, 790, 3913, 860, 4809, 347, 1342, 12538, 288, 511, 273, 731, 1559, 3696, 88, 273, 15049, 289, 9822, 17, 6741, 263, 1493, 5926, 12, 17453, 523, 19, 9712, 92, 1441, 266, 1073, 340, 369, 266, 28715, 772, 16892, 17, 407, 452, 551, 3946, 3138, 273, 266, 1432, 807, 1764, 457, 496, 263, 12968, 912, 5933, 17, 288, 23968, 17, 2592, 570, 360, 3375, 407, 819, 8135, 288, 266, 2403, 419, 665, 349, 2978, 413, 452, 5995, 273, 2065, 853, 289, 8130, 2229, 360, 22627, 17, 470, 1353, 1561, 288, 266, 1432, 2407, 293, 384, 912, 2592, 19, 1764, 457, 5546, 610, 2853, 3026, 288, 266, 24429, 410, 16255, 273, 263, 976, 660, 18, 1038, 18, 1364, 18, 2566, 4249, 17, 3989, 1036, 668, 350, 551, 14240, 289, 6463, 2511, 17, 289, 8905, 343, 263, 1073, 273, 3108, 360, 3886, 289, 9679, 354, 289, 772, 729, 790, 3913, 266, 15203, 412, 273, 263, 1477, 288, 369, 537, 475, 3477, 10378, 17, 289, 774, 729, 457, 398, 890, 263, 2434, 273, 551, 887, 17, 293, 4780, 407, 266, 29747, 297, 436, 827, 273, 266, 9696, 17, 368, 266, 5206, 10913, 8561, 273, 2823, 10865, 5336, 17, 266, 12587, 2486, 18885, 665, 470, 18624, 805, 658, 13153, 21716, 88, 19, 1162, 1066, 363, 681, 263, 17, 951, 343, 5926, 12, 5507, 347, 266, 10729, 1542, 273, 10799, 12, 39, 3686, 1950, 354, 441, 17, 347, 424, 2051, 452, 658, 755, 408, 3426, 440, 273, 3785, 289, 4379, 413, 6531, 650, 266, 732, 3318, 17, 341, 331, 17149, 293, 7560, 500, 19, 9930, 289, 15332, 413, 1887, 2219, 3646, 293, 17, 289, 266, 1146, 273, 266, 1551, 18, 10986, 22773, 3325, 12383, 340, 17, 266, 4576, 6907, 17, 273, 1509, 17, 8285, 16478, 17, 289, 266, 6935, 289, 13298, 17, 2087, 10572, 348, 6789, 2827, 19, 3122, 266, 1541, 266, 10945, 17, 7408, 3291, 9382, 19, 6987, 5926, 413, 4264, 5182, 293, 2172, 3566, 4238, 340, 461, 19781, 343, 1386, 2475, 17, 424, 571, 1080, 17, 13307, 17, 340, 263, 16367, 17, 1108, 273, 266, 1397, 289, 5231, 273, 421, 21753, 17, 1740, 341, 331, 11431, 288, 266, 1319, 273, 263, 18800, 23004, 17, 358, 9354, 27128, 17, 368, 263, 676, 18, 18390, 1926, 7645, 17, 341, 1518, 398, 1849, 540, 17, 288, 637, 6877, 17, 293, 1243, 358, 1984, 19, 801, 10799, 6249, 39, 3686, 1950, 17, 350, 452, 556, 5698, 273, 1598, 607, 562, 423, 1640, 17, 4408, 5416, 18, 1811, 297, 17, 289, 18603, 272, 3103, 273, 31096, 17, 536, 511, 2111, 26772, 293, 731, 470, 1220, 650, 1474, 266, 11399, 3175, 273, 1493, 5926, 288, 266, 9130, 273, 263, 9478, 23968, 19, 370, 15332, 273, 263, 10729, 1542, 413, 398, 601, 2957, 21714, 526, 354, 441, 358, 1193, 407, 266, 11758, 17670, 17, 13720, 339, 263, 1137, 1287, 273, 14800, 447, 617, 343, 661, 72, 1448, 17, 521, 297, 1384, 24469, 17, 289, 25301, 287, 20505, 9212, 17, 694, 306, 7510, 1175, 8602, 297, 505, 289, 1110, 266, 2709, 4740, 75, 4713, 273, 584, 2142, 17, 1108, 341, 7465, 293, 266, 2933, 10060, 17, 331, 398, 2740, 293, 1017, 5632, 749, 293, 266, 1196, 29595, 273, 266, 951, 354, 289, 350, 452, 637, 23023, 273, 11756, 17, 289, 637, 7973, 17, 347, 3297, 1409, 17, 273, 266, 4388, 1401, 490, 2884, 266, 9612, 1661, 490, 424, 5173, 293, 263, 23874, 343, 341, 3420, 594, 2947, 2719, 757, 328, 960, 2605, 407, 637, 9189, 18, 3211, 17, 289, 8787, 350, 7530, 289, 7840, 339, 556, 9130, 17, 288, 637, 887, 3138, 17, 536, 8854, 805, 18, 317, 7063, 637, 18258, 17, 15522, 637, 19941, 2330, 1651, 17, 289, 1930, 637, 4122, 5587, 1683, 374, 1532, 281, 289, 402, 10720, 19, 801, 641, 424, 17, 358, 6141, 278, 25443, 17, 413, 1278, 11523, 293, 306, 2947, 407, 266, 1085, 15877, 8548, 273, 598, 13606, 18, 72, 429, 598, 289, 598, 4470, 18, 3446, 960, 1972, 407, 266, 11230, 16432, 31738, 273, 598, 6127, 297, 18, 3949, 12, 289, 598, 4082, 18, 24860, 1972, 767, 806, 426, 496, 828, 2823, 10865, 5336, 517, 1461, 289, 8265, 293, 7104, 551, 3980, 757, 7312, 11537, 407, 266, 663, 851, 1129, 1050, 273, 731, 31427, 1264, 19583, 18, 2727, 79, 910, 17, 1005, 557, 7459, 18080, 602, 266, 601, 11118, 22104, 289, 19700, 273, 266, 13366, 2406, 8135, 339, 10566, 500, 32, 368, 266, 5088, 23174, 273, 731, 828, 11201, 3375, 288, 461, 2135, 1300, 3643, 480, 18, 1786, 1994, 289, 461, 791, 72, 27799, 287, 20505, 9212, 17, 369, 4316, 3359, 347, 358, 12333, 293, 1474, 289, 263, 9294, 293, 461, 15992, 490, 263, 5232, 288, 1218, 17, 770, 1615, 877, 1584, 10069, 718, 52, 5166, 9051, 56, 12, 3871, 19, 2159, 289, 358, 8860, 288, 2577, 814, 2823, 10865, 5336, 363, 263, 1035, 2853, 354, 441, 729, 2314, 293, 426, 496, 263, 18372, 400, 293, 1896, 551, 15828, 347, 729, 597, 426, 5541, 17, 594, 17, 8594, 667, 18, 489, 18, 8117, 2456, 266, 18675, 17, 467, 475, 7510, 8959, 7907, 598, 266, 372, 13528, 26162, 593, 20, 9612, 289, 6128, 3926, 17, 368, 816, 711, 1384, 288, 266, 601, 5497, 18, 10718, 273, 461, 15049, 575, 20552, 288, 1700, 626, 4975, 17, 470, 597, 22680, 288, 2782, 266, 4603, 1286, 273, 266, 598, 2392, 10231, 328, 1972, 289, 748, 521, 297, 1384, 384, 24469, 1744, 288, 31102, 21110, 440, 354, 3009, 17, 2823, 10865, 5336, 791, 3048, 17, 347, 263, 20801, 343, 788, 8081, 708, 461, 12513, 4255, 289, 598, 643, 3856, 12, 374, 266, 4455, 9002, 17, 803, 8384, 398, 288, 10352, 3947, 731, 31628, 19, 801, 767, 728, 266, 2709, 273, 266, 5587, 17, 347, 729, 1116, 3913, 17, 557, 10747, 763, 602, 3687, 3145, 17, 363, 293, 7400, 339, 266, 3822, 340, 1289, 658, 16726, 1129, 1050, 13564, 350, 266, 2955, 6256, 273, 18066, 289, 7973, 363, 398, 511, 273, 266, 1493, 5926, 650, 1289, 729, 598, 13139, 1157, 263, 2511, 517, 1461, 17, 289, 10207, 263, 2005, 19489, 517, 4379, 598, 419, 4708, 22926, 24608, 398, 511, 273, 266, 3213, 10378, 343, 1289, 729, 2707, 17, 347, 729, 4141, 341, 17, 598, 729, 363, 11399, 17, 1337, 289, 2877, 1972, 441, 266, 21611, 1410, 17, 289, 266, 3620, 17, 5561, 2361, 17, 273, 266, 22910, 12538, 17, 3062, 1029, 406, 3930, 807, 598, 5797, 341, 496, 2578, 17, 343, 2806, 1972, 1353, 2823, 10865, 5336, 17, 4961, 505, 551, 7791, 5935, 350, 263, 6633, 9931, 339, 17, 2145, 969, 3326, 17, 729, 17, 1111, 17, 457, 263, 10717, 17, 598, 368, 890, 2823, 1629, 538, 6977, 598, 419, 1364, 17052, 12538, 17, 263, 8048, 1921, 289, 13487, 16433, 4513, 563, 853, 598, 9206, 2878, 536, 263, 456, 8444, 74, 462, 7, 3822, 17, 368, 912, 2823, 397, 1560, 3830, 17, 368, 20149, 2823, 11780, 17, 312, 825, 426, 4518, 341, 354, 441, 266, 3017, 273, 339, 13316, 6578, 1770, 17, 350, 551, 3898, 2361, 289, 551, 396, 418, 1502, 18436, 807, 341, 668, 4591, 266, 4667, 19809, 920, 426, 17, 289, 266, 31290, 8110, 467, 413, 407, 3627, 293, 973, 1425, 741, 448, 2042, 2823, 10865, 5336 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3237, 293, 393, 3954, 1036, 340, 1137, 6396, 273, 551, 887, 2093, 8697, 17, 289, 263, 803, 451, 369, 302, 7295, 551, 1493, 6434, 288, 266, 13583, 17, 925, 266, 5483, 336, 3103, 273, 491, 19, 598, 7549, 577, 4933, 320, 598, 1765, 263, 21248, 293, 384, 7442, 19, 598, 7549, 577, 4663, 320, 598, 942, 3312, 347, 791, 2212, 273, 981, 532, 354, 289, 537, 413, 1156, 3544, 500, 17, 424, 6407, 17, 441, 2130, 10572, 348, 6789, 2827, 19, 374, 511, 676, 273, 461, 4792, 426, 3559, 925, 266, 1369, 434, 1165, 552, 273, 5690, 19, 2823, 10865, 5336, 1008, 398, 1362, 864, 263, 5349, 486, 354, 1101, 729, 17, 1111, 17, 457, 457, 551, 17313, 19, 3380, 17, 341, 457, 17384, 551, 1401, 17, 343, 4973, 729, 363, 263, 1559, 18, 16778, 2853, 32, 289, 266, 4455, 316, 1839, 440, 805, 1289, 729, 18624, 912, 1353, 762, 749, 339, 9034, 15155, 3213, 5378, 1091, 350, 452, 266, 9354, 598, 12306, 10126, 1950, 440, 598, 289, 4144, 810, 27378, 729, 1353, 341, 1245, 293, 27553, 448, 10939, 19, 2451, 17, 890, 2823, 10865, 5336, 825, 398, 3228, 28440, 339, 17, 5792, 266, 1564, 7973, 3062, 1029, 406, 3930, 9513, 5983, 17, 497, 1298, 3785, 273, 1437, 18, 70, 18, 31552, 9346, 825, 426, 6946, 266, 15678, 2655, 293, 551, 12914, 350, 1934, 23777, 289, 27826, 602, 1008, 266, 22910, 12538, 19, 370, 5933, 2779, 293, 2933, 288, 263, 4208, 1432, 273, 551, 887, 17, 4435, 407, 266, 1330, 11303, 289, 1102, 15713, 273, 551, 6907, 19, 1764, 363, 1187, 289, 24618, 293, 452, 17, 441, 729, 728, 497, 15584, 1806, 17, 289, 457, 497, 4122, 2139, 19, 1764, 2306, 293, 6282, 551, 18436, 29115, 343, 969, 701, 266, 2875, 3535, 339, 2951, 733, 3919, 675, 1915, 17, 289, 350, 339, 18436, 729, 2779, 293, 2834, 793, 350, 551, 266, 12208, 4988, 17, 1585, 266, 8492, 2725, 17, 273, 551, 2671, 2511, 19, 4968, 2823, 1629, 538, 6977, 17, 1289, 729, 8310, 279, 925, 266, 28599, 17, 289, 470, 17, 350, 7814, 2308, 17, 289, 263, 3289, 12657, 273, 21903, 759, 17, 12141, 729, 16897, 551, 1073, 293, 2823, 1029, 406, 3930, 517, 1461, 17, 19626, 339, 729, 825, 398, 1077, 551, 660, 354, 289, 2002, 293, 22993, 17, 1072, 339, 24611, 4686, 3213, 289, 266, 10064, 2823, 10865, 5336, 3913, 17, 475, 263, 912, 7669, 273, 461, 17025, 12538, 17, 350, 551, 13616, 3785, 289, 551, 6637, 17, 5561, 2361, 19, 12537, 12913, 340, 17, 289, 3062, 1029, 406, 3930, 17, 772, 288, 266, 16611, 8793, 273, 2853, 3026, 17, 363, 1135, 22910, 12538, 374, 2823, 10865, 5336, 517, 17, 289, 942, 426, 3541, 537, 1654, 551, 6823, 3822, 363, 7631, 17, 289, 551, 22145, 2135, 2692, 475, 5150, 17, 457, 341, 398, 496, 343, 339, 1193, 407, 266, 11758, 17670, 17, 2455, 1226, 17, 369, 5240, 266, 1154, 18, 13821, 273, 266, 598, 372, 13528, 26162, 593, 598, 407, 4514, 4079, 293, 10799, 6249, 39, 3686, 1950, 19, 10677, 31476, 363, 537, 288, 266, 1542, 594, 421, 8135, 273, 598, 27930, 662, 598, 288, 8191, 31223, 10389, 288, 350, 452, 266, 9807, 273, 1218, 354, 1074, 475, 266, 24976, 6738, 88, 273, 637, 13743, 608, 19406, 2640, 1667, 407, 266, 770, 23706, 56, 10069, 11791, 5776, 17491, 19, 2310, 8701, 339, 13974, 2983, 266, 4911, 19, 2823, 10865, 5336, 457, 551, 598, 3128, 598, 3289, 311, 267, 2319, 17, 1335, 818, 17, 289, 8187, 293, 263, 2338, 369, 17, 424, 2051, 17, 331, 6741, 598, 278, 1458, 354, 598, 2823, 1629, 538, 6977, 2388, 350, 1069, 6258, 18026, 288, 551, 1125, 17, 273, 263, 10671, 20411, 498, 9934, 18686, 293, 551, 16106, 354, 3361, 263, 1196, 3591, 3544, 266, 10378, 288, 1883, 273, 598, 70, 3171, 1972, 7851, 266, 4172, 6326, 358, 4125, 17, 17662, 339, 266, 12743, 17, 3094, 341, 942, 306, 17, 363, 10931, 660, 18, 1038, 18, 5213, 910, 19, 3062, 1029, 406, 3930, 2271, 2779, 10422, 311, 11888, 293, 266, 7075, 273, 266, 4388, 17, 289, 1101, 551, 18462, 341, 363, 339, 266, 5666, 273, 658, 24359, 94, 18080, 12833, 288, 263, 1578, 729, 273, 452, 1233, 825, 1874, 426, 30446, 19, 987, 426, 781, 339, 273, 266, 2875, 11303, 273, 551, 1187, 729, 363, 7968, 10556, 32, 441, 537, 363, 511, 10099, 273, 369, 3062, 1066, 25925, 17, 289, 288, 369, 729, 2555, 497, 4125, 273, 31761, 594, 729, 825, 555, 448, 878, 4287, 297, 4564, 19, 795, 363, 17, 17905, 293, 263, 4388, 3800, 19, 578, 16108, 551, 273, 551, 15143, 490, 341, 16108, 551, 273, 551, 2511, 490, 289, 729, 825, 1917, 4039, 8165, 360, 556, 8548, 343, 2475, 19, 531, 266, 6870, 774, 266, 3800, 9902, 17, 537, 1446, 293, 306, 263, 18634, 517, 18328, 2413, 360, 358, 1106, 3040, 18, 19489, 17, 749, 6513, 1091, 360, 266, 10865, 5336, 5587, 17, 289, 350, 421, 2355, 11023, 5286, 17, 3062, 728, 1377, 293, 8312, 551, 912, 402, 17865, 22466, 17, 289, 10918, 293, 266, 5555, 17, 7851, 551, 2411, 4198, 6252, 266, 13695, 19, 2451, 341, 5543, 339, 511, 20052, 8089, 17, 594, 3062, 17, 288, 551, 2875, 270, 19273, 27264, 17, 363, 4414, 643, 311, 17746, 407, 551, 25767, 18, 6564, 266, 24248, 5834, 273, 598, 266, 372, 939, 940, 1972, 263, 1137, 14823, 23373, 517, 3213, 363, 6464, 350, 811, 5846, 23412, 1594, 347, 729, 1591, 275, 2983, 288, 266, 6870, 17, 289, 3287, 397, 12, 10758, 4545, 17, 266, 606, 6189, 273, 266, 8135, 17, 1566, 726, 1332, 297, 610, 266, 18634, 517, 18328, 293, 2155, 263, 3196, 273, 972, 343, 266, 23139, 17, 650, 1289, 357, 363, 288, 1949, 8790, 19, 3062, 363, 6980, 293, 2544, 288, 263, 1083, 273, 6355, 17, 289, 266, 3287, 17, 358, 16487, 3343, 268, 273, 3785, 17, 363, 4328, 27401, 1307, 360, 266, 23230, 636, 357, 17486, 288, 951, 273, 266, 21877, 94, 1106, 2853, 357, 457, 3855, 293, 1265, 1579, 19, 397, 12, 10758, 4545, 363, 263, 3437, 273, 3138, 17, 289, 17, 347, 2171, 263, 491, 273, 1218, 17, 9571, 288, 10154, 19, 620, 580, 2229, 1437, 2609, 10572, 348, 6789, 2827, 19, 266, 31700, 1950, 273, 972, 805, 3062, 517, 1956, 17963, 17, 369, 13293, 18, 13004, 458, 1923, 503, 358, 4125, 273, 1596, 9785, 1076, 374, 1699, 343, 384, 18432, 759, 17, 289, 8263, 297, 384, 11711, 350, 266, 2710, 2853, 357, 457, 448, 25694, 5381, 288, 350, 19, 370, 1851, 945, 1566, 263, 7622, 4251, 17, 289, 263, 3189, 1365, 273, 21110, 440, 17, 5125, 1553, 288, 266, 706, 25805, 2907, 17, 289, 5447, 2316, 1029, 406, 3930, 19, 598, 312, 3711, 762, 357, 790, 476, 660, 1972, 1353, 3062, 17, 598, 489, 3243, 357, 1008, 398, 1291, 2823, 1425, 1162, 363, 497, 20438, 293, 266, 3189, 17, 289, 341, 363, 3545, 293, 3914, 266, 4251, 1551, 17, 448, 729, 18018, 341, 288, 551, 3277, 268, 17, 289, 19382, 767, 729, 2314, 293, 555, 17, 289, 767, 551, 2511, 597, 426, 10825, 19, 2348, 421, 17, 9816, 3062, 2039, 17, 537, 363, 3287, 397, 12, 10758, 4545, 354, 374, 1791, 17, 288, 551, 2411, 13377, 17, 594, 729, 2039, 660, 350, 2823, 10865, 5336, 490, 357, 2779, 293, 426, 358, 10180, 1767, 463, 2246, 273, 551, 7075, 17, 289, 1066, 293, 6190, 358, 4125, 273, 22517, 374, 551, 19, 3062, 363, 263, 2853, 17, 701, 452, 354, 729, 1353, 341, 363, 598, 601, 13538, 1972, 1101, 363, 266, 8701, 398, 4049, 13217, 4158, 19, 399, 14380, 397, 12, 10758, 4545, 363, 22308, 5955, 354, 288, 1343, 17, 1683, 2243, 598, 266, 1498, 4569, 3537, 288, 266, 372, 939, 940, 1972, 350, 263, 2344, 11051, 273, 1578, 17, 289, 263, 4740, 2246, 273, 266, 1079, 1113, 17, 2579, 17, 289, 2786, 273, 1218, 347, 2249, 340, 1092, 266, 17547, 6907, 19, 1979, 4550, 457, 266, 2139, 1178, 12358, 517, 1347, 1092, 681, 263, 19652, 36, 795, 490, 537, 363, 497, 18392, 288, 266, 21904, 490, 537, 363, 497, 17659, 11610, 293, 306, 266, 3519, 517, 1498, 24317, 17, 497, 10511, 2550, 1221, 1074, 12276, 12334, 293, 1077, 263, 10646, 3740, 3009, 347, 263, 10646, 19, 3062, 363, 511, 273, 266, 1156, 3312, 470, 619, 959, 1631, 347, 467, 413, 17, 289, 398, 925, 266, 16269, 273, 461, 887, 7624, 368, 10569, 354, 289, 594, 729, 1566, 293, 761, 503, 1698, 17, 729, 7714, 266, 7055, 27137, 273, 266, 18971, 491, 273, 266, 1432, 17, 350, 263, 895, 3015, 6181, 273, 369, 357, 597, 426, 2740, 598, 1364, 5955, 27809, 759, 12, 8114, 10795, 19, 1456, 729, 694, 761, 503, 1698, 17, 357, 1715, 828, 1461, 17, 441, 384, 12600, 475, 448, 791, 605, 279, 17, 448, 25805, 17, 289, 288, 681, 6305, 828, 3670, 17, 339, 341, 363, 3545, 293, 1220, 8102, 9529, 374, 500, 17, 289, 3062, 790, 3913, 17, 729, 2597, 3048, 762, 17, 3096, 3287, 397, 12, 10758, 4545, 1503, 4876, 17, 8594, 350, 503, 347, 1005, 347, 266, 973, 273, 266, 5740, 17, 19385, 360, 384, 366, 8121, 23706, 56, 10069, 11791, 5776, 17491, 19, 2626, 4002, 367, 17, 289, 8590, 288, 384, 1401, 17, 794, 729, 457, 676, 293, 1326, 774, 368, 762, 729, 457, 728, 384, 7442, 17, 289, 288, 767, 1578, 681, 358, 7442, 363, 3807, 293, 973, 19, 741, 397, 12, 10758, 4545, 1076, 363, 3293, 288, 1658, 17, 288, 384, 887, 1151, 17, 350, 598, 1364, 5955, 27809, 759, 1425, 598, 15484, 331, 497, 6837, 864, 358, 1106, 511, 1972, 357, 26637, 293, 384, 2139, 16406, 379, 417, 17, 273, 266, 6782, 417, 17, 288, 358, 17753, 5447, 293, 339, 11789, 374, 17583, 19, 598, 1155, 312, 475, 263, 456, 27486, 491, 949, 369, 577, 791, 761, 312, 596, 398, 17, 312, 694, 11933, 266, 1454, 273, 567, 1073, 17, 9871, 347, 597, 306, 266, 21807, 17, 350, 421, 6823, 2316, 1029, 406, 3930, 19, 312, 1465, 891, 551, 360, 339, 31505, 311, 3571, 354, 341, 331, 448, 749, 557, 25805, 17, 289, 806, 1077, 551, 1627, 448, 749, 557, 6141, 19, 1764, 331, 668, 263, 12358, 17, 567, 2997, 3537, 17, 263, 12358, 288, 263, 9696, 12, 2411, 354, 289, 1101, 17, 343, 6447, 289, 3060, 17, 289, 2298, 456, 995, 18, 18124, 456, 1578, 17, 729, 942, 306, 263, 24455, 19, 3340, 263, 2406, 289, 1217, 807, 312, 619, 1220, 567, 8016, 729, 536, 828, 1630, 288, 551, 6239, 19, 1132, 28569, 17, 729, 23839, 476, 273, 835, 1106, 15740, 17, 318, 760, 3442, 490, 347, 2710, 347, 263, 5816, 490, 289, 6683, 347, 641, 729, 597, 2514, 1582, 602, 1243, 288, 19, 312, 1066, 288, 567, 1073, 2144, 263, 2853, 312, 12303, 1437, 448, 749, 354, 577, 761, 312, 596, 1683, 4455, 1733, 14708, 17, 441, 650, 567, 1104, 312, 5532, 293, 2596, 312, 426, 263, 3756, 951, 288, 476, 18442, 19, 741, 748, 17, 567, 2997, 16406, 379, 417, 17, 767, 3329, 266, 1770, 448, 11671, 331, 421, 490, 312, 555, 398, 2051, 729, 13997, 511, 18566, 273, 263, 1437, 23154, 343, 476, 701, 452, 17, 289, 339, 641, 312, 475, 6837, 2414, 293, 2366, 293, 8978, 551, 293, 18, 9327, 17, 729, 597, 11497, 8556, 266, 5698, 289, 25428, 273, 266, 2518, 17, 289, 3577, 17, 368, 601, 3807, 8104, 476, 17, 350, 551, 6637, 17, 19715, 25178, 6447, 17, 4440, 498, 2027, 31255, 347, 341, 331, 17, 289, 878, 7925, 263, 7757, 273, 551, 2710, 17, 31687, 6445, 19, 3864, 2235, 729, 2420, 729, 571, 426, 266, 4550, 36, 289, 1101, 17, 7424, 347, 341, 8548, 17, 312, 596, 9463, 3325, 288, 1658, 350, 551, 19, 2324, 544, 5726, 374, 476, 456, 11715, 311, 949, 289, 1841, 312, 1627, 1437, 6117, 293, 5726, 374, 2578, 17, 29547, 3113, 793, 266, 19532, 410, 273, 2450, 17, 347, 5841, 798, 24313, 347, 641, 312, 475, 263, 3364, 351, 17, 5913, 960, 312, 1280, 1566, 1070, 17, 289, 1101, 398, 491, 2414, 293, 2516, 289, 776, 340, 17616, 17, 369, 312, 426, 266, 26308, 273, 4114, 19, 312, 856, 959, 551, 787, 421, 3225, 17, 289, 1340, 293, 263, 8105, 511, 1151, 368, 266, 532, 17, 343, 2554, 10572, 348, 6789, 2827, 19, 421, 619, 2235, 776, 340, 19, 531, 266, 15832, 17, 3641, 2235, 1412, 476, 505, 293, 263, 2877 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 289, 2051, 476, 20, 811, 72, 19, 1456, 601, 3225, 17, 263, 7334, 17, 828, 18, 11201, 491, 17, 288, 1700, 626, 4975, 17, 942, 426, 496, 1359, 17, 347, 1847, 357, 363, 1359, 17, 360, 2823, 10865, 5336, 517, 1477, 16416, 17, 8594, 263, 7622, 5150, 844, 1899, 17, 350, 556, 27588, 805, 384, 1661, 17, 1949, 293, 266, 2406, 18, 85, 902, 477, 288, 5758, 95, 1176, 3444, 17, 1983, 288, 767, 2779, 358, 3162, 5703, 350, 263, 2710, 2853, 288, 1956, 19, 598, 1142, 577, 3641, 2235, 2051, 424, 5427, 824, 1280, 413, 22369, 17, 2316, 1029, 406, 3930, 36, 312, 596, 7669, 577, 426, 263, 601, 2686, 1984, 273, 266, 1079, 6907, 1972, 781, 266, 3437, 17, 350, 263, 2187, 1545, 8731, 288, 384, 3418, 17, 4440, 9412, 293, 503, 17, 289, 1211, 6838, 20411, 350, 266, 9998, 17, 9933, 17086, 273, 384, 8139, 19, 598, 46, 1363, 1243, 358, 1984, 774, 312, 426, 448, 912, 2246, 17, 3287, 397, 12, 10758, 4545, 1972, 363, 266, 5152, 354, 729, 3025, 293, 761, 503, 791, 772, 17, 289, 14941, 293, 4360, 660, 350, 503, 17, 347, 263, 2853, 1066, 1518, 350, 263, 491, 343, 1289, 729, 13997, 354, 598, 312, 619, 668, 4261, 360, 767, 312, 959, 19, 578, 1932, 293, 476, 339, 577, 452, 2933, 5135, 289, 2640, 343, 13461, 19, 1155, 577, 413, 11973, 17, 577, 519, 11589, 835, 8317, 293, 2155, 266, 1698, 273, 835, 2255, 288, 819, 1816, 530, 1696, 273, 12805, 2496, 32, 641, 577, 413, 7525, 17, 835, 6333, 331, 441, 728, 26350, 293, 835, 11610, 289, 3200, 18, 538, 3695, 272, 25114, 354, 641, 577, 413, 2431, 17, 835, 2441, 331, 5717, 293, 835, 887, 13695, 289, 835, 887, 4094, 19, 312, 1066, 2663, 17, 772, 18, 330, 683, 17, 273, 3687, 3219, 17, 3687, 22369, 17, 681, 347, 312, 426, 1143, 273, 19, 801, 312, 596, 12331, 606, 22302, 1972, 781, 3062, 17, 30041, 3913, 17, 289, 15709, 374, 551, 887, 12130, 17, 13452, 273, 266, 6887, 7973, 350, 369, 266, 280, 1543, 286, 517, 2109, 475, 21689, 89, 570, 340, 551, 2361, 19, 7093, 452, 3809, 26641, 920, 17, 537, 363, 263, 580, 558, 273, 17313, 793, 397, 12, 10758, 4545, 17, 289, 357, 14941, 293, 2345, 660, 266, 20909, 3404, 273, 263, 1374, 2895, 28349, 293, 384, 887, 12653, 5478, 17, 557, 2884, 594, 339, 1374, 7590, 293, 681, 263, 1410, 347, 384, 8139, 19, 598, 312, 825, 3238, 339, 920, 571, 306, 22369, 17, 890, 288, 266, 25913, 3107, 1972, 781, 357, 17, 289, 787, 384, 3418, 23558, 347, 341, 19613, 1585, 293, 263, 10965, 490, 598, 339, 537, 413, 920, 470, 597, 1243, 505, 4526, 17, 3672, 17, 9053, 17, 6024, 17, 490, 266, 919, 770, 23706, 56, 10069, 11791, 5776, 17491, 19, 2757, 467, 3244, 17, 289, 266, 3220, 467, 1362, 3099, 293, 17, 490, 343, 266, 5554, 273, 511, 1289, 467, 9651, 490, 12303, 490, 288, 1511, 17, 1289, 467, 6631, 1425, 1764, 597, 398, 2987, 503, 17, 289, 266, 6637, 11043, 363, 347, 6637, 347, 1280, 1230, 729, 4696, 17, 598, 312, 1363, 1326, 448, 19, 312, 426, 1359, 1904, 2414, 347, 263, 1357, 17, 343, 577, 761, 312, 596, 1437, 263, 7391, 2578, 17, 293, 1243, 476, 497, 10363, 293, 26086, 567, 8796, 288, 2125, 1455, 19, 741, 1101, 312, 426, 567, 13986, 273, 263, 5349, 1111, 17, 441, 288, 658, 1476, 537, 331, 497, 681, 1401, 347, 263, 8610, 20297, 17, 263, 4595, 10737, 419, 17380, 761, 17, 424, 27809, 28830, 806, 398, 6102, 637, 2353, 853, 263, 1613, 12895, 17, 368, 263, 30773, 1425, 598, 312, 598, 2071, 6282, 1714, 5388, 288, 567, 1125, 17, 1714, 4537, 1851, 567, 1347, 1972, 29031, 397, 12, 10758, 4545, 354, 289, 748, 17, 2249, 1718, 360, 266, 11395, 273, 266, 2385, 17, 289, 6102, 763, 273, 452, 384, 12660, 12455, 289, 828, 15745, 17, 357, 12478, 16764, 14499, 340, 490, 598, 9186, 275, 293, 476, 17, 2316, 1029, 406, 3930, 354, 312, 571, 306, 31663, 293, 2223, 1278, 293, 577, 340, 681, 1511, 7442, 17, 441, 577, 806, 426, 1359, 567, 1588, 490, 567, 2200, 490, 567, 8781, 354, 312, 1363, 2834, 293, 959, 577, 16054, 1070, 17, 4309, 1718, 288, 681, 263, 951, 347, 421, 490, 577, 470, 413, 5230, 343, 3495, 289, 21119, 17, 289, 6024, 339, 331, 2358, 1021, 288, 1073, 19, 1304, 577, 16783, 650, 476, 814, 544, 577, 3840, 476, 293, 19612, 577, 407, 421, 8170, 6746, 814, 544, 577, 918, 320, 598, 3062, 7683, 2671, 1511, 17, 6484, 3913, 505, 17, 289, 3399, 551, 3343, 268, 1365, 288, 266, 2361, 525, 598, 312, 596, 448, 498, 2586, 293, 421, 3319, 273, 2907, 17, 3287, 397, 12, 10758, 4545, 1972, 729, 2222, 17, 878, 263, 8400, 5692, 273, 12580, 17, 598, 339, 312, 555, 398, 4931, 2987, 577, 19, 1155, 767, 577, 426, 293, 1080, 331, 2454, 343, 476, 293, 2663, 17, 2469, 5580, 6502, 354, 641, 398, 17, 312, 2420, 577, 263, 828, 3225, 354, 598, 289, 16999, 297, 343, 358, 6345, 1230, 729, 2413, 503, 17, 347, 341, 475, 17, 598, 436, 2991, 288, 551, 2287, 1972, 729, 3227, 1738, 17, 289, 8465, 22626, 289, 24827, 5108, 2340, 293, 2823, 10865, 5336, 517, 19, 370, 280, 1543, 286, 363, 4328, 1224, 487, 1047, 360, 266, 9711, 350, 369, 384, 2870, 457, 496, 27672, 19, 1162, 357, 3558, 17, 3499, 266, 5150, 2764, 17, 7968, 12423, 17, 289, 398, 7121, 1740, 293, 4743, 368, 6738, 19, 8983, 357, 5726, 266, 1770, 836, 17, 289, 6498, 293, 266, 1960, 759, 273, 27571, 357, 457, 496, 288, 21356, 320, 620, 825, 398, 490, 497, 17, 357, 15094, 398, 1808, 339, 6637, 17, 7084, 2621, 2287, 19, 1979, 358, 2287, 341, 363, 17, 289, 762, 357, 2707, 556, 361, 2220, 10572, 348, 6789, 2827, 19, 2429, 890, 772, 807, 8983, 357, 14645, 701, 551, 17, 289, 1077, 263, 6869, 10571, 10628, 273, 4628, 17, 681, 347, 497, 2853, 825, 3020, 441, 347, 263, 15098, 19, 353, 1119, 70, 807, 767, 807, 8978, 263, 27809, 759, 814, 1979, 597, 266, 5638, 1080, 17, 289, 16406, 379, 417, 17, 289, 384, 2498, 22982, 824, 2808, 1006, 17, 266, 828, 5150, 2764, 363, 3241, 12300, 1551, 293, 23968, 17, 289, 397, 12, 10758, 4545, 363, 266, 1073, 289, 2877, 273, 266, 12055, 18, 8447, 94, 17, 369, 357, 2970, 1159, 288, 676, 293, 3865, 19, 1979, 263, 9021, 341, 363, 17, 350, 556, 7459, 9853, 17, 27677, 31812, 17, 8352, 17, 8701, 17, 289, 9779, 552, 17, 293, 266, 1135, 3958, 3225, 17, 289, 266, 2931, 17, 3620, 2361, 273, 3062, 1029, 406, 3930, 19, 370, 14823, 23373, 517, 3213, 1353, 3287, 397, 12, 10758, 4545, 601, 7998, 289, 507, 5859, 1851, 945, 288, 266, 6870, 354, 441, 407, 339, 676, 1654, 357, 2039, 340, 2516, 357, 5717, 1076, 9308, 293, 551, 2403, 17, 289, 729, 1066, 31423, 339, 537, 363, 681, 263, 692, 288, 266, 1432, 347, 266, 5955, 27809, 759, 374, 2823, 10865, 5336, 517, 17, 368, 266, 3069, 339, 5587, 457, 9962, 288, 556, 22910, 12538, 517, 7762, 19, 741, 772, 3062, 457, 496, 785, 31163, 340, 551, 10711, 3348, 347, 263, 5555, 18, 82, 443, 626, 288, 1298, 19, 2823, 10865, 5336, 517, 3587, 28647, 340, 266, 25878, 1027, 273, 3225, 13377, 350, 9478, 3375, 2872, 293, 263, 18758, 6194, 13655, 407, 551, 12358, 17, 289, 266, 5703, 10017, 288, 263, 976, 19077, 286, 273, 13973, 692, 2908, 505, 17, 289, 3062, 517, 8995, 30039, 419, 2604, 266, 4741, 273, 263, 1137, 601, 5955, 4251, 17, 2096, 2458, 7181, 347, 598, 269, 921, 279, 16761, 692, 18618, 343, 9647, 19, 531, 1298, 729, 1988, 2560, 5939, 293, 1962, 551, 407, 5816, 851, 17, 289, 339, 363, 793, 452, 19, 319, 3752, 347, 598, 399, 1003, 759, 288, 263, 3332, 2126, 12, 363, 29927, 343, 17, 289, 787, 289, 787, 729, 363, 13243, 288, 7788, 511, 17, 1654, 374, 1699, 6410, 17931, 339, 2316, 26511, 7907, 363, 288, 1922, 273, 263, 598, 25055, 27809, 759, 598, 343, 29412, 17, 3062, 1029, 406, 3930, 4821, 293, 266, 1542, 18, 3211, 17, 293, 1077, 10894, 17, 289, 17503, 293, 2885, 890, 266, 5541, 18, 2202, 4406, 17, 363, 7814, 288, 13501, 24274, 2331, 17, 594, 729, 17486, 266, 24546, 1806, 424, 426, 1906, 10438, 17, 289, 369, 475, 2271, 6900, 293, 5860, 266, 5511, 6123, 273, 3177, 2331, 293, 16860, 4417, 19, 8212, 3062, 807, 18716, 363, 598, 263, 1956, 4658, 598, 925, 369, 341, 363, 1847, 2510, 293, 959, 598, 1364, 3491, 15862, 1425, 598, 15066, 46, 10134, 38, 1425, 4842, 323, 1041, 1999, 4986, 48, 2889, 19, 598, 3755, 30891, 10134, 38, 525, 770, 397, 11980, 20647, 6491, 9723, 13826, 4902, 319, 10836, 1237, 18, 45, 5620, 490, 319, 9005, 403, 1060, 5267, 7341, 490, 2619, 42, 337, 24980, 12800, 22959, 397, 25072, 490, 770, 318, 10882, 9805, 1672, 490, 23444, 2409, 1500, 385, 3530, 490, 770, 21477, 27612, 25361, 22255, 5952, 6066, 397, 882, 46, 1607, 734, 319, 3551, 3871, 1980, 7542, 27612, 734, 770, 1713, 25951, 13845, 6047, 713, 19, 2362, 1962, 263, 3437, 8555, 584, 1699, 273, 676, 17, 1443, 288, 3201, 972, 368, 2368, 17, 331, 10931, 263, 11779, 273, 266, 3217, 273, 28299, 17, 293, 8288, 369, 424, 806, 1399, 347, 9175, 347, 2167, 293, 598, 27294, 265, 1601, 821, 598, 289, 384, 2139, 17, 5412, 2895, 1604, 85, 289, 3908, 374, 266, 4273, 273, 598, 30935, 4508, 765, 517, 598, 25756, 94, 354, 421, 4037, 17, 708, 10599, 17, 1021, 496, 266, 1341, 273, 10293, 266, 12380, 13285, 1071, 289, 266, 11229, 4530, 470, 25023, 293, 19612, 503, 407, 358, 498, 9950, 311, 1327, 17, 369, 263, 601, 1156, 15629, 557, 273, 31243, 16336, 597, 426, 728, 263, 9047, 19, 1456, 30935, 4508, 765, 517, 5838, 18, 3181, 621, 694, 426, 496, 3124, 374, 266, 302, 809, 273, 676, 363, 511, 273, 731, 598, 2400, 1972, 347, 357, 1116, 500, 17, 369, 357, 16661, 598, 3398, 1972, 289, 3227, 650, 266, 1343, 273, 384, 1021, 9014, 263, 2635, 273, 596, 25048, 288, 266, 2427, 340, 263, 3319, 273, 12921, 13272, 18, 24100, 17, 407, 369, 467, 457, 2970, 16623, 311, 17, 266, 316, 6718, 14275, 263, 8729, 17, 350, 497, 1934, 3069, 602, 339, 273, 263, 10197, 21302, 289, 511, 368, 667, 976, 27800, 4640, 293, 266, 31295, 19, 578, 363, 340, 266, 13501, 4550, 273, 29750, 505, 658, 598, 6699, 18977, 289, 695, 683, 598, 347, 467, 1452, 9752, 1110, 350, 266, 8783, 17, 339, 598, 30935, 4508, 765, 598, 363, 24438, 1384, 793, 288, 263, 12262, 1506, 2164, 17, 16597, 598, 263, 25756, 94, 1972, 594, 384, 2200, 363, 11410, 360, 358, 7026, 23011, 13285, 1071, 5450, 14395, 660, 374, 263, 785, 2605, 407, 266, 15275, 19, 908, 357, 781, 1076, 17, 598, 1162, 598, 88, 497, 15371, 340, 658, 4733, 17, 448, 312, 1353, 341, 601, 3807, 312, 942, 306, 6370, 17, 289, 3558, 456, 836, 289, 340, 456, 1654, 312, 2144, 614, 30366, 4005, 2325, 1834, 940, 273, 6355, 19, 578, 598, 88, 497, 23739, 339, 1496, 1431, 331, 83, 2235, 17, 1437, 18, 70, 18, 82, 723, 660, 374, 2138, 354, 289, 312, 942, 426, 496, 1111, 1916, 350, 266, 5838, 18, 3181, 621, 641, 341, 457, 83, 2235, 496, 343, 803, 1513, 2256, 490, 2997, 17, 2997, 17, 537, 598, 88, 11178, 288, 339, 3501, 577, 942, 1858, 358, 16934, 660, 273, 17, 289, 467, 10627, 2985, 293, 1077, 456, 70, 448, 1899, 456, 273, 503, 807, 598, 3090, 19851, 3829, 893, 348, 6789, 2827, 19, 620, 457, 12641, 293, 6412, 266, 667, 9304, 13285, 29158, 610, 384, 912, 16667, 354, 289, 2148, 1601, 821, 601, 1538, 6925, 1076, 17, 384, 2139, 17, 470, 363, 5795, 3559, 288, 384, 3655, 18, 6127, 2244, 657, 17, 1923, 500, 1072, 575, 17263, 794, 357, 1566, 6305, 293, 384, 8872, 19, 13549, 637, 11447, 31295, 331, 7128, 500, 650, 461, 5121, 17, 289, 25525, 3201, 14247, 18, 489, 18, 6127, 17, 288, 263, 3045, 10619, 517, 1477, 962, 266, 15275, 17, 424, 571, 10197, 263, 1156, 2946, 293, 1243, 575, 1565, 273, 598, 30935, 4508, 765, 1972, 289, 266, 6069, 360, 369, 357, 21250, 339, 2344, 23149 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19, 20648, 289, 10345, 263, 3045, 10619, 17, 511, 273, 339, 12653, 3901, 350, 369, 637, 2138, 18, 10986, 31145, 17, 289, 407, 369, 1732, 3656, 517, 13027, 289, 266, 1973, 8868, 2403, 804, 9083, 461, 1498, 920, 17, 357, 363, 1633, 505, 407, 384, 601, 15143, 293, 1077, 266, 5838, 384, 24698, 17, 289, 266, 11196, 384, 2340, 19, 25229, 368, 2758, 17, 6637, 368, 21322, 17, 6642, 995, 17, 6642, 2363, 17, 350, 263, 28941, 3947, 384, 2406, 17, 289, 263, 1156, 16981, 273, 24156, 550, 805, 384, 1154, 17, 357, 363, 288, 384, 6376, 354, 289, 785, 2372, 357, 4072, 266, 1365, 2582, 273, 22222, 357, 363, 1563, 343, 266, 706, 26641, 273, 452, 17, 890, 3544, 731, 12653, 5234, 470, 1089, 293, 1326, 1073, 360, 1005, 266, 1874, 3740, 273, 461, 11709, 11648, 19, 2910, 558, 17, 347, 263, 4530, 17, 457, 357, 16297, 1307, 293, 1077, 505, 266, 9595, 273, 263, 1073, 19448, 594, 266, 14391, 1804, 475, 2287, 297, 350, 7608, 1129, 1050, 339, 1706, 17, 959, 938, 8182, 925, 369, 467, 597, 426, 293, 1077, 461, 1151, 293, 266, 10557, 17, 27318, 2138, 2719, 354, 289, 266, 920, 273, 27440, 1474, 17, 731, 16276, 273, 266, 1983, 17, 7647, 17, 350, 266, 12223, 1369, 434, 1165, 552, 273, 266, 7525, 17, 339, 598, 266, 3501, 363, 347, 18693, 347, 7777, 18, 92, 559, 17, 1347, 293, 266, 1551, 18, 12991, 1425, 1057, 27826, 273, 4172, 1538, 2171, 15536, 733, 17, 289, 384, 2255, 1440, 747, 488, 3290, 350, 503, 340, 384, 12380, 759, 288, 5185, 660, 374, 2138, 350, 263, 16667, 360, 497, 1341, 10580, 293, 15169, 266, 3063, 2738, 8481, 273, 266, 17138, 17, 368, 266, 4121, 9643, 369, 1340, 896, 3113, 505, 407, 266, 12637, 288, 263, 2298, 7681, 6249, 385, 3965, 19, 1057, 7354, 374, 1699, 6413, 293, 2544, 503, 288, 3524, 263, 300, 643, 1899, 273, 2895, 19988, 29867, 602, 266, 391, 16867, 357, 363, 7237, 293, 8225, 17, 289, 266, 1215, 1332, 297, 318, 548, 17, 273, 1309, 18, 75, 526, 4988, 17, 363, 266, 2336, 19, 1053, 266, 740, 1665, 339, 266, 1493, 1506, 19361, 20023, 3360, 19015, 384, 2406, 340, 263, 12554, 357, 825, 3293, 891, 384, 887, 17, 357, 598, 15066, 46, 10134, 38, 1425, 3188, 21250, 266, 302, 809, 24022, 360, 369, 916, 363, 2096, 3367, 19, 1057, 7354, 4141, 263, 2137, 339, 266, 8732, 597, 772, 306, 263, 21733, 557, 5749, 288, 384, 2934, 957, 17, 289, 5954, 339, 594, 341, 21146, 1733, 17, 289, 537, 363, 263, 4121, 14003, 340, 4026, 17, 341, 363, 828, 402, 346, 553, 2725, 293, 2320, 343, 266, 9234, 2842, 19, 598, 3116, 342, 1972, 3993, 266, 11229, 3501, 17, 1230, 357, 2070, 384, 8186, 925, 2359, 22145, 1335, 1423, 339, 266, 13993, 363, 890, 748, 22234, 407, 384, 10603, 490, 598, 3116, 342, 17, 7354, 807, 577, 598, 2071, 1066, 8730, 476, 7128, 567, 24736, 1110, 343, 4172, 17, 1654, 341, 3772, 340, 10584, 2414, 293, 6642, 819, 511, 273, 658, 8740, 4612, 660, 273, 567, 3822, 18, 4209, 807, 598, 1937, 339, 2653, 17, 289, 1280, 2096, 17, 357, 363, 1563, 360, 266, 448, 9196, 9642, 273, 30935, 4508, 765, 17, 289, 347, 681, 424, 25284, 2051, 357, 457, 1585, 7794, 384, 887, 2721, 1103, 19, 30366, 4005, 363, 1538, 4371, 6925, 293, 3171, 1551, 293, 384, 17192, 17, 289, 350, 384, 1559, 5935, 289, 3854, 777, 542, 279, 266, 3017, 273, 584, 1309, 3308, 7000, 407, 767, 357, 1116, 598, 263, 1927, 23898, 297, 1425, 14797, 17, 1055, 17, 340, 461, 1151, 2340, 17, 357, 7411, 1601, 821, 517, 1217, 17, 289, 350, 263, 10886, 288, 384, 2287, 490, 4396, 12580, 343, 503, 293, 16782, 490, 19022, 17, 598, 1601, 821, 17, 577, 598, 321, 266, 18137, 273, 266, 8720, 354, 577, 598, 321, 6747, 567, 1073, 17, 289, 312, 856, 1066, 6102, 341, 1425, 987, 413, 358, 1700, 8546, 2472, 1183, 1233, 525, 340, 266, 4384, 17, 368, 288, 263, 1776, 17, 1070, 597, 426, 496, 358, 4125, 343, 263, 1948, 22586, 793, 9056, 17, 18373, 17, 289, 6608, 7731, 354, 441, 398, 448, 288, 2298, 1073, 354, 424, 1363, 10197, 557, 602, 263, 6459, 293, 8787, 637, 19612, 407, 7256, 368, 5675, 17, 289, 424, 413, 448, 7669, 273, 692, 1353, 598, 10124, 10365, 1972, 339, 424, 1077, 890, 339, 6459, 347, 2368, 347, 2167, 19, 2316, 26511, 7907, 17, 1108, 17, 363, 263, 3213, 273, 263, 1441, 5800, 19, 1764, 363, 288, 263, 8045, 2782, 594, 551, 11454, 2970, 17, 289, 729, 2222, 266, 26962, 3044, 273, 2722, 8701, 17, 369, 266, 4530, 363, 5865, 293, 10077, 19, 28179, 360, 3678, 729, 6484, 407, 503, 266, 1079, 2353, 273, 384, 11229, 5834, 293, 4766, 30366, 4005, 17, 289, 266, 3276, 4780, 467, 1072, 457, 273, 12299, 297, 354, 289, 347, 1601, 821, 6624, 384, 804, 1491, 17, 289, 29412, 517, 2109, 11348, 818, 925, 551, 5897, 288, 7973, 273, 384, 5349, 1608, 17, 2316, 26511, 7907, 24926, 266, 5416, 5098, 343, 399, 4675, 561, 289, 2039, 836, 610, 1559, 18034, 1719, 19, 3174, 10572, 348, 6789, 2827, 19, 598, 13490, 476, 17, 2823, 17, 762, 24221, 733, 807, 598, 781, 266, 1818, 345, 1169, 17, 358, 2653, 368, 448, 2096, 17, 680, 5164, 551, 1154, 610, 266, 4961, 18, 5042, 17, 774, 29412, 289, 1601, 821, 475, 30818, 7294, 273, 461, 15107, 17, 1021, 1314, 551, 293, 598, 1962, 4447, 598, 490, 598, 1009, 12249, 10015, 331, 1110, 1070, 343, 263, 24431, 17, 289, 2823, 315, 10039, 476, 3914, 343, 503, 641, 729, 363, 83, 2235, 584, 13212, 344, 17, 289, 772, 729, 331, 83, 2235, 584, 1698, 19, 1979, 856, 312, 555, 320, 598, 598, 29085, 343, 503, 17, 312, 694, 1326, 1972, 781, 1601, 821, 17, 289, 16056, 16514, 263, 14703, 288, 20621, 273, 266, 8215, 17, 3361, 29412, 6110, 505, 18, 24629, 293, 22108, 517, 2434, 350, 263, 16226, 1347, 289, 358, 263, 5591, 919, 1913, 17, 681, 347, 1440, 1486, 8162, 88, 1111, 5063, 266, 7544, 424, 426, 293, 14437, 19, 370, 27700, 475, 3191, 1738, 2316, 26511, 7907, 517, 2845, 17, 289, 29412, 17, 21015, 341, 942, 668, 306, 511, 273, 266, 5542, 7609, 293, 369, 551, 2511, 363, 1094, 17, 1291, 500, 9073, 6876, 293, 959, 641, 729, 363, 14301, 19, 4968, 339, 1493, 17, 27423, 23351, 5933, 363, 12925, 374, 266, 2094, 31068, 340, 266, 2398, 517, 2361, 17, 289, 266, 4121, 4414, 22136, 13980, 657, 729, 2779, 293, 3277, 350, 681, 3108, 19, 598, 799, 22108, 17, 22108, 807, 598, 781, 729, 17, 9395, 551, 1154, 340, 266, 24408, 360, 551, 2511, 517, 1286, 17, 598, 767, 331, 341, 814, 312, 18735, 577, 293, 2150, 476, 807, 13490, 22108, 17, 767, 619, 424, 555, 293, 3228, 577, 320, 598, 2316, 26511, 7907, 3227, 551, 2109, 650, 551, 3071, 17, 441, 266, 10378, 475, 29028, 347, 1108, 407, 575, 3999, 340, 266, 4551, 17, 289, 729, 25023, 293, 2264, 4289, 288, 4117, 19, 29412, 17, 288, 358, 15788, 273, 2596, 17, 14140, 293, 266, 5416, 18, 23785, 17, 289, 1633, 399, 4675, 289, 1601, 821, 5746, 505, 3940, 1122, 12925, 602, 3913, 19, 1979, 825, 266, 3501, 555, 288, 263, 1083, 864, 421, 320, 1663, 266, 16764, 90, 9413, 273, 384, 1401, 17, 357, 1715, 384, 5051, 289, 14254, 293, 1009, 12249, 10015, 517, 1477, 350, 681, 5610, 347, 293, 805, 4212, 266, 14703, 357, 457, 4331, 16514, 354, 399, 4675, 363, 1308, 1110, 293, 19449, 505, 263, 28162, 273, 339, 14172, 7679, 17, 369, 457, 1527, 794, 496, 9218, 354, 289, 29412, 4179, 551, 1110, 288, 551, 2511, 517, 2434, 17, 293, 4470, 17, 289, 20358, 17, 289, 2469, 343, 266, 9288, 632, 17, 13500, 29806, 1579, 731, 1706, 27700, 19, 1764, 825, 2597, 2051, 341, 19, 531, 339, 601, 2434, 17, 398, 1532, 2475, 3326, 17, 729, 457, 9012, 279, 551, 2511, 517, 396, 16867, 17, 289, 4849, 279, 551, 887, 5563, 5364, 19, 3942, 341, 2779, 347, 641, 421, 457, 4098, 293, 598, 28764, 30891, 10134, 38, 1425, 3087, 575, 511, 3145, 490, 398, 293, 3913, 19, 1663, 266, 31290, 26473, 606, 8701, 1280, 536, 343, 10511, 17, 729, 5479, 266, 22353, 293, 29759, 18, 4197, 354, 729, 890, 16428, 266, 1335, 81, 18, 85, 12842, 339, 2038, 288, 461, 912, 12969, 7516, 354, 748, 729, 2039, 1110, 340, 551, 10958, 17, 289, 14697, 17, 347, 731, 2469, 470, 1627, 341, 331, 266, 998, 20393, 19, 1360, 729, 3920, 17, 263, 5547, 273, 17341, 2895, 8654, 551, 4589, 17, 441, 350, 618, 6075, 1566, 266, 9931, 273, 266, 10895, 9291, 490, 266, 8124, 339, 942, 306, 490, 293, 18, 2873, 17, 890, 354, 289, 266, 2583, 17, 12120, 3220, 17, 18509, 17, 878, 263, 2511, 19, 801, 266, 5609, 497, 2047, 288, 266, 5740, 1633, 312, 344, 1551, 293, 266, 919, 17, 289, 341, 2779, 3545, 339, 421, 694, 306, 266, 732, 1432, 4466, 369, 1654, 772, 729, 457, 2996, 1563, 584, 8265, 368, 17183, 19, 2667, 263, 25962, 2137, 23021, 805, 551, 339, 658, 8991, 1530, 76, 420, 654, 942, 306, 1605, 1178, 354, 339, 266, 8215, 597, 1340, 17, 289, 22108, 597, 1538, 306, 1698, 754, 289, 729, 597, 12999, 551, 17, 289, 1658, 551, 557, 289, 557, 17, 289, 1066, 306, 27255, 787, 354, 441, 288, 266, 6739, 17, 350, 263, 284, 711, 339, 1585, 7683, 551, 1347, 17, 757, 9755, 4488, 551, 266, 12504, 273, 551, 1846, 517, 1327, 490, 266, 29275, 17, 266, 7419, 17, 266, 4160, 3414, 9047, 17, 266, 18800, 12436, 17, 289, 762, 17, 288, 551, 912, 1956, 3643, 480, 17, 729, 457, 726, 18219, 22108, 517, 4277, 17, 289, 1353, 729, 457, 6747, 452, 17, 1712, 729, 457, 398, 2555, 551, 19, 741, 772, 17, 806, 421, 1340, 787, 573, 741, 597, 537, 306, 497, 2511, 293, 23870, 594, 341, 363, 805, 320, 29412, 3837, 17774, 16701, 19, 801, 280, 688, 807, 266, 3539, 5986, 12342, 17, 537, 331, 263, 9998, 17556, 707, 340, 266, 1062, 328, 17, 289, 729, 11609, 263, 1983, 8362, 273, 4910, 17, 347, 1108, 266, 8215, 2054, 266, 8719, 273, 1073, 289, 1327, 288, 384, 1804, 19, 399, 4675, 17, 288, 266, 15832, 17, 1488, 618, 6075, 363, 398, 3349, 1092, 3687, 288, 266, 4659, 273, 4790, 9646, 368, 3542, 17, 457, 496, 14084, 805, 266, 1477, 350, 551, 9868, 517, 19521, 288, 551, 1217, 17, 11818, 343, 339, 28162, 369, 729, 457, 3913, 1291, 360, 17, 398, 954, 1476, 794, 17, 441, 273, 369, 729, 457, 8114, 7794, 266, 25767, 18, 6564, 19, 16585, 17, 961, 18, 2347, 4661, 17, 17955, 960, 3634, 17, 475, 3227, 805, 289, 226, 89, 21963, 793, 288, 4117, 17, 1654, 374, 1699, 729, 306, 23589, 551, 273, 551, 9868, 517, 4525, 18, 9630, 80, 17, 289, 340, 4194, 339, 598, 88, 294, 322, 377, 1972, 660, 3237, 263, 2470, 288, 551, 3213, 517, 1217, 17, 369, 6705, 399, 4675, 3913, 374, 1527, 7714, 363, 5230, 343, 497, 3412, 19851, 3829, 893, 348, 6789, 2827, 19, 681, 2109, 347, 18716, 19, 1764, 7545, 263, 26082, 17, 1111, 17, 273, 551, 887, 1103, 1007, 556, 16113, 17, 289, 890, 288, 266, 14645, 289, 24080, 273, 266, 2385, 424, 413, 398, 3317, 293, 1080, 339, 4122, 10021, 825, 426, 16366, 266, 13489, 273, 598, 8122, 511, 28216, 1972, 441, 374, 339, 6345, 17, 598, 27294, 265, 1601, 821, 598, 289, 266, 8215, 475, 2247, 374, 266, 3539, 17, 289, 347, 399, 4675, 12355, 266, 11994, 12165, 610, 551, 8816, 17, 266, 1541, 3330, 266, 2434, 17, 289, 21051, 551, 2960, 311, 343, 515, 1693, 793, 3544, 30705, 26511, 7907, 517, 5324, 17, 594, 729, 2314, 293, 426, 496, 505, 647, 24629, 8774, 293, 3913, 19, 1009, 12249, 10015, 2707, 2316, 26511, 7907, 517, 6501, 17, 289, 3227, 293, 29412, 419, 9206, 363, 12917, 384, 6445, 347, 266, 21948, 710, 1518, 339, 273, 266, 9733, 863, 470, 13661, 384, 6011, 853, 350, 263, 2361, 407, 369, 341, 363, 3545, 293, 4634, 2137, 368, 2596, 19, 598, 5149, 22108, 806, 306, 2413, 601, 4447, 17, 2823, 29412, 1972, 781, 266, 8215, 17, 350, 1289, 384, 1493, 2139, 363, 263, 11705, 6136, 19, 598, 312, 806, 1536, 577, 452, 660, 441, 2316, 399, 4675 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19, 312, 694, 864, 293, 1258, 1070, 343, 263, 1230, 293, 4470, 266, 1172, 273, 575, 5320, 312, 856, 1243, 551, 354, 441, 424, 1363, 426, 1111, 1156, 1233, 288, 266, 2434, 1425, 741, 293, 28563, 512, 421, 20289, 14451, 17, 357, 4510, 293, 266, 3539, 17, 374, 369, 1601, 821, 363, 24622, 350, 263, 1706, 17, 5888, 2361, 19, 598, 801, 2150, 476, 17, 2997, 8215, 1972, 15440, 6393, 29412, 17, 288, 358, 15788, 273, 29275, 17, 598, 1039, 352, 2150, 476, 17, 331, 537, 584, 3542, 36, 1304, 1561, 555, 551, 584, 828, 320, 598, 8212, 5933, 17, 1008, 577, 1280, 761, 263, 8215, 339, 597, 5152, 293, 681, 263, 1831, 320, 598, 987, 806, 1962, 551, 4447, 17, 567, 2997, 1972, 363, 452, 266, 2795, 729, 2975, 354, 289, 29412, 363, 5643, 293, 776, 1110, 18, 24629, 17, 749, 1092, 551, 544, 17, 289, 7061, 288, 12120, 26232, 17, 350, 551, 1217, 23870, 297, 27294, 265, 1601, 821, 517, 17, 289, 551, 2109, 3227, 293, 266, 14857, 17, 340, 369, 266, 4326, 2779, 293, 1699, 275, 610, 2475, 17, 3361, 1280, 289, 24105, 263, 17556, 707, 805, 4209, 2779, 293, 8694, 537, 597, 306, 575, 7294, 273, 266, 2398, 354, 1101, 497, 3539, 3907, 17, 497, 5243, 363, 2247, 650, 266, 14072, 19, 2152, 263, 1104, 1008, 266, 8756, 914, 9182, 17, 1108, 266, 4530, 5240, 374, 7706, 12520, 311, 288, 384, 5748, 19, 370, 6637, 17, 2710, 3225, 1983, 1275, 610, 266, 7178, 373, 2492, 273, 1761, 805, 266, 17138, 17, 266, 16687, 3025, 293, 583, 977, 310, 288, 266, 5740, 17, 289, 1135, 266, 8756, 914, 4179, 289, 11771, 17, 289, 1135, 13135, 1566, 19, 598, 28690, 46, 10134, 38, 1425, 3362, 1360, 266, 3539, 363, 6507, 17, 289, 12249, 10015, 363, 1314, 2271, 350, 384, 2398, 17, 263, 5206, 17, 11458, 7147, 4244, 23021, 805, 266, 4037, 8215, 517, 2361, 19, 620, 457, 785, 496, 266, 4247, 2139, 273, 2316, 26511, 7907, 17, 347, 791, 347, 598, 551, 887, 3000, 491, 14614, 289, 2148, 357, 597, 2099, 426, 2707, 341, 557, 457, 357, 398, 496, 1116, 288, 3672, 548, 17, 1101, 341, 363, 350, 263, 4121, 1347, 289, 263, 24274, 297, 11043, 339, 357, 12141, 293, 1076, 537, 363, 912, 368, 497, 2137, 19, 620, 457, 1291, 288, 2786, 452, 339, 6062, 289, 3138, 5954, 490, 357, 457, 1308, 343, 263, 2498, 7679, 273, 995, 3385, 24242, 17, 289, 772, 537, 363, 1561, 557, 293, 306, 1574, 4766, 293, 7061, 343, 266, 2336, 354, 448, 266, 1187, 18, 14708, 491, 4179, 1076, 1110, 288, 266, 5748, 29412, 457, 448, 4742, 4204, 17, 289, 13258, 1307, 805, 266, 817, 12317, 969, 17, 772, 864, 263, 7875, 17, 1317, 369, 357, 457, 1563, 339, 1073, 369, 288, 21573, 2845, 363, 1452, 14603, 1384, 660, 556, 1156, 5185, 18857, 19, 620, 7580, 551, 266, 12968, 17, 10670, 72, 6572, 279, 5933, 419, 274, 314, 357, 1353, 551, 2109, 20025, 602, 731, 273, 337, 14633, 12249, 10015, 14, 354, 357, 2144, 551, 787, 266, 23091, 11338, 17, 266, 828, 17229, 1926, 31505, 17, 266, 295, 5533, 2511, 17, 266, 398, 7740, 380, 530, 8055, 19, 578, 363, 668, 10002, 357, 18449, 293, 551, 340, 266, 27399, 17, 289, 1353, 762, 1493, 729, 3399, 350, 551, 5546, 18, 1086, 3071, 32, 357, 363, 293, 426, 19441, 350, 500, 293, 18, 9327, 32, 289, 266, 15738, 273, 1073, 3399, 503, 24842, 311, 288, 266, 2361, 19, 801, 266, 6032, 273, 3890, 1538, 1566, 293, 266, 19612, 17, 289, 266, 7773, 17050, 268, 14515, 384, 3332, 4589, 288, 384, 9063, 15875, 19, 741, 1278, 1009, 12249, 10015, 2070, 384, 24431, 490, 511, 8089, 273, 266, 7829, 8070, 17, 288, 369, 357, 457, 6413, 1076, 266, 3289, 9181, 10892, 289, 266, 660, 18, 1038, 18, 5213, 910, 647, 81, 4411, 617, 273, 709, 318, 2604, 265, 517, 19, 2316, 12249, 10015, 289, 266, 2065, 475, 29750, 505, 9693, 340, 266, 15275, 354, 384, 2498, 17, 1289, 357, 457, 398, 1359, 343, 1481, 969, 17, 363, 3565, 293, 5940, 354, 441, 266, 8215, 517, 676, 331, 266, 2992, 273, 266, 5876, 289, 266, 22204, 17, 289, 1135, 12249, 10015, 4179, 289, 11376, 289, 6261, 17, 289, 2144, 4931, 339, 2316, 26511, 7907, 806, 2514, 19, 370, 2475, 23021, 340, 17, 20270, 475, 1633, 610, 266, 4961, 5042, 17, 289, 266, 8756, 914, 4781, 288, 4117, 350, 985, 1553, 6470, 289, 436, 5385, 5350, 1994, 293, 426, 575, 6982, 19, 319, 5563, 374, 266, 3539, 18, 5986, 16596, 279, 266, 5666, 273, 266, 532, 8215, 17, 263, 8599, 491, 288, 263, 3506, 10572, 348, 6789, 2827, 19, 3190, 606, 20005, 17, 8484, 297, 273, 266, 1761, 18, 73, 911, 19, 29412, 6110, 660, 293, 1808, 503, 490, 341, 363, 263, 4910, 293, 555, 2922, 490, 289, 306, 480, 4764, 503, 23880, 505, 18, 24629, 19, 1764, 890, 23021, 610, 266, 4160, 2434, 17, 289, 7545, 263, 26082, 273, 551, 2511, 517, 3822, 17, 804, 11271, 289, 2769, 505, 354, 441, 266, 27700, 475, 1437, 5539, 17, 289, 729, 825, 398, 959, 266, 2997, 2361, 19, 12249, 10015, 8229, 6484, 551, 1718, 17, 289, 6507, 551, 660, 17, 441, 398, 794, 266, 19678, 5933, 457, 30075, 374, 263, 2094, 18, 336, 2991, 20662, 340, 266, 6611, 17, 289, 4160, 1275, 350, 266, 7750, 339, 341, 363, 726, 8372, 350, 1630, 19, 8041, 4147, 17, 266, 912, 1477, 16416, 363, 6632, 340, 266, 14072, 17, 17214, 347, 641, 551, 1347, 597, 3804, 19, 8212, 29412, 4179, 1110, 360, 551, 288, 266, 7211, 17, 289, 12621, 551, 5897, 350, 731, 273, 266, 13283, 5163, 19, 1764, 3025, 293, 2155, 13501, 772, 19, 2348, 263, 1230, 729, 2039, 1110, 787, 293, 27294, 265, 1601, 821, 17, 289, 363, 8042, 293, 1265, 341, 448, 1916, 354, 266, 14857, 4510, 293, 1924, 4326, 2722, 1481, 354, 289, 350, 13325, 1804, 729, 5539, 266, 7095, 17, 17905, 343, 358, 6345, 293, 266, 24630, 273, 266, 9479, 6039, 17, 350, 263, 4396, 17, 3235, 3591, 339, 467, 1066, 19720, 448, 794, 19, 2667, 729, 2769, 505, 598, 348, 1848, 1972, 470, 457, 496, 28087, 1384, 1280, 1712, 266, 9853, 475, 1633, 354, 441, 729, 457, 398, 266, 1347, 293, 9182, 263, 18683, 350, 27294, 265, 1601, 821, 354, 289, 339, 2042, 3501, 17, 10855, 263, 618, 6075, 339, 384, 2361, 306, 1436, 17, 363, 27571, 293, 21579, 805, 266, 3225, 2470, 17, 273, 369, 357, 363, 6325, 2557, 459, 1778, 374, 266, 22926, 10430, 19, 5929, 17, 537, 331, 263, 6391, 1226, 17, 289, 266, 667, 14351, 31421, 293, 1208, 2434, 293, 3704, 266, 2398, 517, 1083, 19, 2714, 331, 266, 23368, 2908, 360, 266, 3385, 1517, 1976, 471, 1163, 293, 266, 6238, 1298, 7679, 19, 1979, 1009, 12249, 10015, 5671, 490, 767, 1009, 12249, 10015, 781, 490, 767, 1009, 12249, 10015, 1353, 490, 475, 6723, 360, 266, 1541, 1280, 2096, 354, 1101, 825, 511, 426, 10480, 266, 22144, 273, 658, 667, 6009, 920, 17, 341, 942, 426, 496, 15346, 293, 4586, 762, 9063, 905, 4423, 4562, 1066, 1527, 1923, 1151, 293, 266, 9320, 2331, 273, 266, 2385, 490, 647, 11786, 266, 3890, 273, 25757, 17, 864, 339, 273, 18003, 17, 536, 556, 2258, 17, 556, 653, 24125, 17, 556, 9731, 17, 556, 4662, 1064, 17, 289, 556, 598, 9296, 273, 1218, 288, 864, 1334, 1425, 399, 4675, 363, 1314, 350, 266, 2398, 17, 289, 266, 17341, 1477, 16416, 3558, 3124, 293, 2544, 17, 266, 1671, 5496, 358, 7471, 273, 5877, 289, 8105, 17, 594, 1116, 650, 293, 970, 17, 369, 551, 11629, 340, 266, 598, 15066, 46, 10134, 38, 1425, 3540, 19646, 597, 2996, 426, 6413, 19, 4968, 399, 4675, 363, 1122, 757, 315, 3744, 602, 2875, 17, 772, 537, 363, 3293, 2922, 293, 306, 19678, 374, 19, 21978, 331, 1066, 1359, 293, 681, 2930, 347, 594, 15011, 266, 4160, 354, 266, 2287, 339, 516, 8123, 293, 959, 263, 7881, 515, 4859, 17, 266, 1217, 339, 9654, 591, 641, 537, 331, 441, 263, 30153, 288, 266, 2434, 17, 544, 14892, 498, 2027, 5228, 3360, 340, 266, 29416, 368, 266, 5782, 5164, 13077, 17, 544, 4215, 266, 19747, 878, 263, 23502, 17, 368, 4602, 266, 25962, 3599, 1338, 17, 8259, 360, 8259, 17, 610, 266, 9933, 3935, 13077, 17, 350, 266, 8163, 1594, 289, 9109, 273, 263, 6021, 13253, 19, 3347, 491, 350, 452, 384, 24796, 5877, 8589, 4160, 289, 3898, 17, 289, 4591, 1076, 6001, 602, 7830, 17, 2853, 11018, 31765, 266, 6333, 273, 551, 6907, 17, 339, 498, 717, 450, 5349, 1608, 17, 339, 16706, 8781, 17, 369, 331, 1280, 3124, 293, 2834, 289, 306, 1135, 19, 1199, 1089, 293, 426, 263, 7338, 3315, 288, 22762, 1036, 266, 284, 17136, 273, 266, 23957, 17, 289, 2782, 1461, 273, 266, 16736, 19, 13802, 374, 263, 12704, 1384, 31505, 17, 6452, 350, 263, 1035, 2126, 273, 2065, 17, 289, 3094, 571, 306, 266, 1984, 273, 266, 598, 29760, 23927, 362, 2854, 1972, 1055, 749, 357, 571, 702, 1921, 289, 702, 23712, 419, 665, 864, 263, 491, 23498, 374, 1021, 266, 516, 1463, 347, 1365, 347, 341, 544, 2083, 17, 729, 17, 288, 551, 1347, 273, 5285, 17, 7377, 22239, 819, 3289, 5666, 350, 266, 26492, 8936, 273, 598, 266, 557, 266, 1407, 8672, 15263, 289, 749, 347, 729, 12217, 500, 452, 17, 13139, 4985, 551, 27126, 6434, 340, 266, 998, 912, 31862, 1970, 563, 273, 708, 73, 586, 9265, 17, 369, 17, 340, 556, 740, 2304, 17, 331, 266, 706, 16736, 17, 347, 341, 331, 266, 1874, 13199, 17, 273, 5582, 517, 18268, 1036, 5834, 354, 3531, 17, 1847, 17, 729, 694, 887, 263, 17029, 17, 263, 29450, 310, 17, 368, 358, 29532, 3544, 551, 30561, 29902, 490, 748, 544, 339, 2042, 7164, 306, 266, 2511, 517, 1688, 410, 11859, 17, 748, 544, 2853, 517, 1658, 289, 2853, 517, 11065, 916, 334, 350, 2710, 13509, 1738, 266, 1154, 369, 1455, 1720, 2001, 293, 426, 777, 542, 279, 17, 289, 266, 2511, 544, 2499, 293, 551, 1347, 273, 5285, 266, 8399, 692, 339, 452, 3145, 413, 21805, 293, 17892, 289, 18044, 19, 1142, 288, 266, 4160, 18, 5042, 17, 594, 598, 27529, 289, 18037, 271, 1811, 266, 11043, 1972, 2853, 327, 4934, 266, 1102, 7159, 8544, 289, 415, 1056, 266, 13929, 1154, 19, 21978, 517, 1461, 690, 1799, 266, 785, 7608, 8603, 17, 289, 2853, 517, 7668, 31689, 266, 7175, 2653, 17, 594, 2137, 536, 3635, 551, 4846, 289, 8568, 1718, 19, 531, 2101, 864, 658, 729, 11018, 31765, 551, 10621, 18, 83, 1429, 17, 288, 8600, 864, 658, 729, 1948, 88, 339, 6598, 9778, 273, 369, 341, 1932, 2768, 10572, 348, 6789, 2827, 19, 293, 540, 729, 536, 263, 1934, 5033, 602, 266, 8413, 6907, 19, 370, 6633, 12364, 8231, 628, 5704, 537, 544, 306, 497, 3312, 288, 384, 2814, 24115, 354, 994, 540, 1362, 293, 4352, 17, 339, 266, 18203, 343, 540, 306, 398, 452, 266, 532, 1151, 19, 29412, 17084, 6325, 2557, 288, 266, 4961, 18, 5042, 17, 289, 7339, 266, 14351, 12, 22144, 331, 293, 306, 14678, 17, 289, 339, 341, 331, 6217, 293, 1962, 551, 448, 785, 407, 551, 22108, 19, 1601, 821, 13042, 1110, 266, 2470, 17, 289, 4961, 8229, 1843, 384, 10683, 17, 8383, 6333, 293, 10965, 575, 1156, 1758, 273, 14773, 17, 369, 2699, 273, 500, 1627, 293, 306, 273, 266, 8514, 5451, 19, 620, 536, 496, 6707, 339, 29044, 25217, 2314, 293, 306, 1308, 343, 17, 441, 357, 26517, 398, 9046, 557, 7145, 288, 384, 8139, 517, 1374, 360, 681, 263, 11022, 17, 289, 357, 1350, 13780, 263, 3189, 293, 384, 2139, 30366, 4005, 293, 13862, 341, 343, 503, 19, 29044, 25217, 17, 1698, 1563, 288, 266, 1432, 347, 5355, 18, 6921, 348, 6433, 17, 331, 2316, 26511, 7907, 517, 2498, 17, 289, 4792, 288, 266, 3465, 673, 9728, 490, 598, 357, 694, 306, 1308, 343, 2465, 17, 7339, 1601, 821, 17, 598, 376, 357, 331, 293, 959, 567, 15107, 7124, 1425, 29412, 331, 6675, 601, 12520, 17, 289, 7339, 729, 942, 1538, 776, 505, 18, 24629, 289, 959, 355, 1807, 807, 266, 2845, 5042, 3539, 13924, 490, 263, 2824, 17556, 707, 331, 2247, 340, 266, 14072, 490, 341, 331, 399, 4675, 5746, 1110, 343, 266, 14351, 490, 29412, 24186, 293, 266, 3539, 289, 19265, 88, 551, 340, 266, 13266, 18, 6564 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 40, 19, 422, 19, 6778, 62, 4986, 24124, 28063, 880, 719, 359, 65, 35, 2230, 734, 381, 76, 67, 89, 14, 490, 16473, 83, 320, 13160, 2173, 1531, 5776, 67, 56, 13455, 19, 6615, 566, 88, 19, 519, 16924, 17, 2257, 94, 611, 1255, 17, 20381, 19, 22051, 24613, 17, 1663, 452, 266, 16854, 10896, 360, 456, 1203, 768, 756, 320, 372, 4038, 57, 48, 4036, 14966, 3784, 23020, 395, 11124, 2188, 50, 4557, 439, 6191, 10134, 56, 273, 323, 2645, 12, 50, 9137, 41, 46, 465, 307, 1672, 18060, 7405, 14966, 456, 409, 15786, 456, 539, 13163, 5325, 372, 928, 1832, 6449, 713, 566, 422, 9854, 355, 931, 4557, 655, 770, 397, 893, 4557, 56, 611, 23219, 14966, 770, 50, 743, 13160, 409, 12, 50, 893, 7705, 796, 397, 3968, 41, 388, 15227, 62, 6730, 2645, 2861, 923, 770, 409, 12, 25236, 3384, 45, 5235, 866, 22259, 882, 53, 7687, 397, 4278, 51, 988, 337, 10784, 14966, 399, 60, 11652, 5019, 968, 416, 1411, 2770, 10696, 691, 49, 855, 9157, 579, 1701, 11, 6409, 39, 931, 820, 5701, 1864, 1531, 6540, 56, 14966, 23380, 12, 56, 388, 1411, 6494, 752, 4045, 28678, 19323, 439, 395, 10896, 19, 1478, 10896, 19, 1771, 10896, 19, 2130, 10896, 19, 1331, 10896, 19, 1478, 10896, 19, 2554, 10896, 19, 1352, 10896, 19, 2130, 10896, 19, 1771, 10896, 19, 1478, 10896, 19, 2130, 10896, 19, 2130, 10896, 19, 2130, 10896, 19, 541, 10896, 19, 820, 10896, 19, 1471, 10896, 17, 370, 4900, 6158, 273, 2256, 372, 842, 288, 263, 1521, 3132, 11481, 806, 17, 864, 266, 4116, 1423, 273, 5184, 17, 11662, 4498, 17, 31457, 17, 335, 1047, 268, 352, 17, 289, 12356, 7463, 305, 7843, 17, 1265, 263, 951, 340, 266, 31397, 273, 819, 791, 18, 333, 3554, 8197, 19, 1006, 3605, 9306, 273, 20055, 426, 5765, 263, 1934, 6748, 343, 461, 4305, 525, 1156, 5411, 2407, 503, 288, 266, 9273, 289, 1836, 273, 384, 16598, 657, 273, 1401, 17, 289, 2919, 11031, 503, 343, 9754, 20455, 1120, 289, 1066, 18, 75, 406, 19242, 4560, 19, 1298, 525, 3523, 7341, 811, 20474, 17, 11224, 17, 26193, 19, 758, 4898, 49, 719, 87, 18, 320, 393, 7, 87, 99, 12, 7993, 456, 87, 1862, 456, 89, 99, 18, 320, 456, 2425, 734, 456, 79, 17, 641, 328, 99, 758, 573, 18, 2517, 99, 4704, 13223, 33, 734, 393, 67, 10793, 67, 490, 4704, 302, 67, 807, 354, 3302, 715, 62, 4916, 16935, 12411, 12, 56, 13455, 19, 9241, 1999, 24613, 419, 27, 2912, 2608, 561, 14, 3551, 9648, 22915, 6301, 5811, 9124, 17, 1663, 20921, 25422, 17, 5856, 611, 1255, 17, 2767, 19, 319, 2827, 4271, 19, 573, 5612, 1181, 4737, 8645, 312, 320, 531, 12614, 1190, 312, 23842, 9993, 1950, 7019, 2425, 312, 226, 28991, 59, 47, 598, 88, 19, 354, 439, 88, 19, 566, 72, 2993, 2767, 19, 579, 7, 312, 5914, 2467, 2726, 55, 5019, 754, 27706, 337, 393, 573, 44, 19989, 691, 39, 36, 439, 6963, 416, 10784, 579, 465, 465, 4704, 72, 885, 4252, 18, 2422, 5872, 465, 1544, 439, 337, 758, 2780, 35, 2780, 67, 91, 521, 67, 8353, 89, 33, 9285, 56, 67, 8, 14566, 2021, 19, 620, 354, 384, 5045, 413, 270, 701, 1172, 354, 331, 2766, 617, 273, 31835, 1429, 17, 339, 426, 2070, 439, 2761, 5349, 486, 701, 679, 94, 368, 20790, 1949, 17, 358, 90, 511, 331, 347, 2774, 447, 1052, 90, 5068, 19, 10576, 19, 263, 498, 90, 287, 27, 78, 2780, 2259, 8550, 2780, 2780, 288, 4525, 263, 1104, 1092, 263, 6212, 273, 16484, 339, 598, 76, 463, 3669, 289, 9673, 398, 756, 7, 6374, 2873, 311, 948, 18, 91, 1239, 19, 5759, 31, 3523, 7341, 811, 20474, 17, 11224, 17, 353, 1250, 40, 2861, 5811, 62, 19, 19345, 13946, 21476, 812, 838, 770, 22164, 8645, 273, 403, 2675, 19, 754, 78, 226, 89, 226, 89, 226, 89, 226, 89, 320, 21129, 23549, 1297, 1998, 6543, 1222, 19, 395, 12, 15348, 552, 3801, 9522, 1297, 1998, 6543, 1222, 19, 439, 370, 5117, 94, 593, 289, 3706, 5101, 1297, 1998, 6543, 1222, 19, 465, 5081, 22692, 273, 5081, 72, 5154, 1297, 1998, 6543, 1222, 19, 539, 1118, 23698, 3030, 1297, 1998, 6543, 1222, 19, 566, 26958, 595, 24475, 1297, 1998, 6543, 1222, 19, 655, 2346, 22264, 517, 26964, 1297, 5808, 273, 456, 1058, 17112, 756, 611, 6296, 273, 266, 11570, 1297, 5808, 273, 456, 1058, 17112, 756, 743, 370, 15653, 362, 91, 440, 1297, 5808, 273, 456, 9721, 17112, 756, 796, 28721, 31, 263, 31326, 1297, 5808, 273, 456, 9721, 17112, 756, 923, 3062, 21776, 1297, 2316, 19, 9697, 435, 305, 19, 866, 23842, 525, 263, 31326, 1297, 2316, 19, 9697, 435, 305, 19, 988, 4024, 1139, 9422, 1297, 5808, 273, 456, 1058, 17112, 756, 718, 319, 416, 308, 288, 263, 17001, 1297, 2256, 372, 842, 19, 855, 6576, 355, 12470, 1297, 2256, 372, 842, 19, 820, 10309, 14142, 269, 6736, 1297, 2256, 372, 842, 19, 752, 370, 409, 12, 16105, 22350, 564, 1297, 2256, 372, 842, 3551, 9648, 439, 56, 561, 5418, 16450, 25847, 38, 19, 541, 12619, 3004, 1297, 2256, 372, 842, 19, 885, 370, 19712, 281, 273, 16224, 72, 414, 1297, 2256, 372, 842, 19, 1115, 21795, 966, 81, 273, 870, 8177, 1297, 2256, 372, 842, 19, 1288, 1087, 14745, 513, 10788, 92, 1297, 2256, 372, 842, 19, 1331, 319, 7212, 517, 416, 616, 1297, 2256, 372, 842, 19, 1387, 2240, 273, 29471, 1297, 2256, 372, 842, 19, 1348, 3086, 273, 266, 25103, 1297, 3287, 22077, 19, 1329, 620, 597, 306, 263, 15866, 1297, 7223, 372, 1003, 19, 1478, 4385, 318, 5607, 289, 22199, 839, 1297, 7223, 372, 1003, 19, 1499, 19549, 371, 2073, 28255, 1297, 12356, 7463, 305, 7843, 19, 1471, 370, 3363, 834, 82, 1690, 1297, 12356, 7463, 305, 7843, 19, 1516, 5258, 12492, 1297, 12356, 7463, 305, 7843, 19, 1352, 370, 579, 699, 840, 1297, 12356, 7463, 305, 7843, 19, 1646, 3062, 29382, 1222, 1297, 12356, 7463, 305, 7843, 19, 1902, 416, 15324, 10860, 1297, 12356, 7463, 305, 7843, 19, 1945, 23600, 273, 452, 19865, 1297, 12356, 7463, 305, 7843, 19, 2023, 2823, 18290, 1297, 12356, 7463, 305, 7843, 19, 15437, 422, 3551, 9648, 439, 56, 19, 566, 73, 19, 1742, 5418, 16450, 25847, 38, 19, 1297, 13160, 6253, 5776, 19, 1981, 2256, 409, 12, 50, 296, 1222, 2061, 370, 397, 2744, 662, 2124, 7611, 273, 399, 14218, 587, 2095, 370, 397, 9503, 11570, 1818, 3630, 2090, 6985, 14392, 273, 456, 52, 2168, 7, 1771, 3019, 275, 4148, 6465, 83, 3356, 22307, 489, 17354, 462, 2087, 3996, 914, 273, 5758, 12, 6874, 2159, 15421, 10598, 1147, 352, 1297, 3100, 2771, 715, 62, 4916, 16935, 12411, 19, 2130, 1325, 1222, 12729, 2310, 2154, 2324, 1198, 76, 463, 1732, 36, 2609, 1203, 10486, 403, 1472, 2626, 620, 579, 22106, 357, 363, 8005, 2554, 12682, 266, 31429, 2757, 8993, 335, 3903, 2220, 370, 2650, 359, 2703, 4842, 3934, 859, 26159, 1298, 31, 3523, 7341, 1500, 20474, 17, 11224, 17, 26193, 19, 1987, 446, 33, 6, 490, 320, 573, 67, 5774, 67, 490, 393, 11, 393, 2780, 24614, 490, 320, 393, 67, 271, 67, 490, 573, 393, 67, 263, 3642, 490, 282, 67, 5018, 20912, 18, 78, 393, 67, 92, 2517, 734, 4132, 4704, 68, 2780, 33, 78, 490, 573, 393, 68, 79, 36, 33, 734, 1987, 99, 67, 521, 720, 2517, 490, 1012, 18, 75, 349, 19851, 3829, 893, 348, 6789, 2827, 4424, 770, 21148, 1500, 770, 27129, 1584, 2923, 348, 57, 399, 19, 422, 19, 6778, 62, 4986, 24124, 28063, 1313, 273, 598, 73, 876, 30847, 3101, 1972, 598, 1364, 24516, 1972, 598, 13817, 1004, 94, 1477, 1972, 4059, 19, 5449, 24613, 5759, 19787, 50, 6688, 17, 20749, 17, 1500, 2651, 19, 13983, 14051, 8121, 1832, 266, 3920, 16624, 281, 288, 266, 3970, 17, 537, 544, 598, 598, 266, 7351, 289, 266, 6499, 11353, 306, 790, 17, 1398, 4456, 289, 27351, 7907, 3758, 19, 1142, 331, 341, 288, 266, 1432, 354, 266, 2343, 5933, 17, 1488, 18544, 331, 30747, 360, 266, 30294, 5698, 273, 4841, 289, 2328, 17, 544, 1280, 426, 15964, 289, 24945, 2414, 289, 293, 10197, 19, 19952, 363, 497, 2686, 4261, 273, 2125, 1455, 32, 289, 357, 536, 263, 459, 21736, 340, 421, 1094, 17, 18904, 266, 9679, 273, 266, 11789, 350, 266, 619, 4776, 27817, 273, 266, 2063, 19, 598, 29540, 350, 835, 27378, 273, 3785, 517, 449, 12791, 17, 370, 6414, 3678, 3785, 577, 23870, 288, 835, 1355, 299, 32, 801, 7896, 12, 74, 476, 266, 23496, 339, 536, 6431, 273, 12914, 17, 3932, 17, 7896, 12, 74, 476, 266, 23496, 350, 266, 271, 7824, 18, 2556, 275, 276, 411, 73, 15700, 1425, 8983, 266, 1403, 6017, 2893, 681, 13199, 1493, 5926, 1351, 343, 263, 1156, 11427, 12, 9679, 17, 266, 1313, 544, 398, 426, 2601, 288, 4117, 19, 1675, 357, 2137, 467, 544, 8749, 791, 289, 16957, 354, 289, 339, 266, 24443, 3920, 17, 594, 729, 536, 2555, 551, 27992, 17, 571, 306, 27224, 30084, 289, 9073, 12986, 360, 266, 1217, 339, 18137, 279, 551, 288, 551, 378, 8608, 2427, 11705, 19, 4670, 13193, 54, 39, 312, 19, 13336, 2651, 1584, 931, 446, 320, 1615, 19, 770, 6730, 3133, 14875, 541, 2619, 19, 770, 23706, 56, 10069, 11791, 5776, 17491, 1945, 2889, 19, 598, 15066, 46, 10134, 38, 598, 4842, 529, 19, 7381, 40, 1531, 348, 17277, 60, 931, 446, 3897, 4033, 19, 770, 7986, 9746, 348, 5617, 446, 5029, 5723, 19, 10836, 2129, 1500, 318, 2861, 41, 1531, 7252, 5663, 19, 770, 27620, 7473, 6797, 19, 385, 5961, 3185, 9470, 19, 1067, 19, 7542, 7643, 31469, 58, 5970, 8887, 9416, 19, 26742, 38, 10145, 1980, 6730, 2645, 2861, 446, 10106, 9832, 19, 26742, 38, 10145, 1980, 4902, 26231, 446, 10538, 11995, 19, 770, 21091, 2857, 9660, 19, 2362, 17603, 7065, 6730, 16555, 2362, 6191, 5325, 9527, 4806, 19, 26564, 1637, 12411, 1500, 10347, 7542, 1495, 11114, 11136, 12449, 19, 4013, 44, 8855, 11448, 15416, 19, 5418, 4509, 13312, 10750, 11985, 19, 770, 2481, 8475, 57, 5514, 4045, 43, 24259, 10183, 16515, 19, 397, 10252, 1237, 13826, 12984, 3098, 19, 397, 6710, 51, 1742, 770, 23218, 11545, 20397, 19, 18053, 13871, 19852, 19, 770, 385, 2965, 3783, 13870, 24267, 19, 598, 2481, 3553, 10347, 598, 14323, 22061, 19, 11911, 8828, 9854, 14687, 11605, 19, 598, 397, 2593, 2827, 16845, 2636, 598, 15205, 24819, 19, 598, 388, 6419, 78, 2480, 715, 598, 15946, 17886, 19, 7999, 7412, 1500, 403, 14827, 15956, 30370, 19, 598, 770, 318, 2861, 24062, 385, 16062, 598, 16727, 19851, 3829, 893, 348, 6789, 2827, 32, 4424, 17, 770, 21148, 1500, 770, 27129, 1584, 2923, 19, 4670, 312, 19, 13336, 2651, 1584, 931, 19, 358, 4438, 380, 450, 863, 517, 497, 22384, 11165, 734, 459, 1175, 721, 265, 517, 288, 263, 6637, 734, 266, 8868, 517, 5922, 39, 9055, 490, 598, 328, 715, 6066, 7764, 2651, 1584, 931, 598, 490, 21935, 4818, 1742, 770, 319, 2467, 490, 319, 14638, 25411, 8828, 19164, 57, 490, 719, 355, 18574, 25302, 15748, 598, 1500, 10540, 6417, 41, 348, 6831, 19, 24582, 2409, 347, 424, 1326, 273, 4352, 17, 289, 350, 452, 637, 24796, 19800, 17, 424, 11516, 18, 13835, 662, 413, 441, 263, 1437, 18, 4239, 4239, 685, 3901, 701, 452, 19, 29436, 27485, 17, 10931, 7457, 27485, 288, 637, 19809, 17, 4589, 17, 289, 13436, 17, 341, 331, 441, 266, 9849, 273, 637, 6420, 339, 12152, 540, 288, 637, 887, 3295, 374, 452, 17, 289, 864, 637, 24197, 23584, 11754, 419, 2202, 288, 17464, 985, 5799, 424, 426, 1386, 15290, 273, 266, 1106, 1468, 333, 1630, 288, 637, 6239, 853, 424, 3669, 1638, 3548, 490, 339, 331, 17, 7851, 424, 426, 263, 11069, 517, 2758, 4172, 490, 293, 21293, 3939, 407, 637, 16345, 17, 289, 15322, 1384, 266, 1079, 273, 637, 887, 2138, 18, 10986, 17, 16668, 637, 1216, 4341, 280, 464, 281, 805, 266, 1934, 545, 273, 2356, 17, 1074, 22036, 407, 12355, 297, 637, 660, 17501, 88, 890, 610, 266, 1347, 273, 7336, 17, 1654, 266, 13770, 26616, 863, 17, 590, 77, 493, 374, 637, 5741, 2380, 17, 26128, 384, 31687, 14367, 17, 289, 350, 263, 8466, 340, 384, 20170, 339, 357, 331, 398, 347, 424, 413, 17, 448, 3016, 281, 384, 13668, 350, 263, 8936, 17, 448, 1440, 3993, 339, 288, 266, 3578, 341, 536, 1849, 263 ]

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

[ 15536, 490, 4134, 561, 339, 598, 15484, 331, 511, 319, 395, 10572, 348, 6789, 2827, 19, 8720, 17, 289, 537, 413, 817, 21897, 354, 441, 537, 331, 497, 8720, 864, 263, 6519, 288, 263, 1738, 5051, 807, 598, 578, 363, 441, 998, 7275, 339, 17, 1322, 5164, 28523, 610, 637, 25394, 517, 9447, 490, 343, 17, 12882, 807, 263, 1509, 273, 1298, 295, 9641, 1363, 306, 22252, 288, 17, 3285, 701, 3285, 17, 878, 6203, 263, 4321, 5515, 293, 11309, 288, 266, 8054, 490, 916, 7176, 1384, 17, 748, 17, 610, 637, 25394, 517, 31660, 17, 347, 357, 6377, 341, 17, 424, 475, 9933, 360, 358, 2606, 818, 1260, 16303, 294, 8782, 17, 1488, 3418, 424, 457, 4331, 2247, 12503, 384, 2498, 381, 6319, 339, 598, 358, 1106, 1810, 363, 263, 7061, 265, 12, 7985, 1972, 3085, 273, 339, 580, 25964, 1486, 863, 470, 17, 343, 557, 969, 602, 341, 331, 1725, 293, 1054, 3041, 17, 536, 1563, 637, 316, 3722, 293, 358, 3904, 17, 289, 637, 2811, 293, 263, 6852, 19, 20741, 763, 339, 288, 951, 273, 266, 4700, 3221, 273, 3002, 22052, 369, 424, 1754, 347, 706, 6164, 293, 637, 1947, 289, 1578, 17, 424, 942, 1265, 4352, 27935, 288, 511, 273, 266, 817, 29520, 12996, 2047, 288, 369, 1493, 4733, 772, 18, 330, 683, 14671, 341, 5594, 293, 9298, 1474, 17, 289, 2402, 360, 266, 16303, 294, 8782, 17, 8515, 17, 470, 24169, 1738, 540, 288, 1309, 18, 2121, 314, 3350, 7973, 273, 637, 7244, 18048, 17, 347, 598, 263, 8594, 7089, 17, 263, 12944, 7089, 17, 263, 20833, 7089, 17, 368, 263, 7089, 293, 776, 293, 266, 13606, 288, 11370, 424, 12255, 293, 9943, 343, 598, 266, 1410, 424, 2902, 2144, 1972, 289, 475, 5137, 339, 598, 266, 1810, 347, 11771, 340, 540, 998, 1105, 457, 3559, 343, 263, 1156, 2453, 12, 24431, 293, 266, 620, 493, 1425, 22684, 595, 289, 1881, 17, 614, 23792, 336, 3270, 363, 890, 748, 288, 13209, 807, 1979, 263, 24197, 23584, 807, 1582, 28130, 293, 306, 2585, 288, 2524, 289, 3357, 25980, 490, 1108, 23792, 336, 3270, 17, 692, 263, 912, 491, 17, 331, 2099, 601, 8045, 594, 16310, 490, 441, 1101, 497, 2187, 9021, 293, 511, 273, 731, 8048, 1921, 17, 21877, 17, 31025, 3446, 18, 1078, 8131, 7896, 909, 339, 728, 266, 3450, 338, 273, 266, 8597, 10248, 516, 2102, 650, 384, 5443, 19, 741, 1101, 23792, 336, 3270, 363, 441, 17255, 1693, 266, 13509, 369, 357, 6873, 989, 407, 266, 2138, 18, 80, 654, 384, 11754, 17, 358, 13509, 369, 288, 1122, 7026, 23011, 6358, 602, 263, 25394, 517, 19065, 637, 18734, 18, 22183, 293, 16860, 4417, 17, 289, 30739, 266, 4841, 17, 1230, 341, 28665, 266, 6466, 17, 273, 266, 3735, 610, 819, 278, 451, 289, 6850, 339, 736, 730, 266, 9238, 273, 4073, 19, 30137, 266, 7865, 413, 1245, 19, 2158, 540, 17, 1230, 424, 413, 288, 24197, 23584, 8350, 17, 1077, 1146, 273, 358, 1106, 1468, 333, 25573, 17, 289, 11708, 610, 637, 2403, 266, 667, 388, 520, 595, 273, 7416, 265, 17, 3765, 13336, 2651, 1584, 931, 19, 439, 19008, 289, 1304, 17, 350, 658, 22315, 412, 676, 289, 3482, 17, 448, 347, 293, 306, 17, 864, 266, 4385, 15996, 517, 2783, 17, 598, 288, 667, 2450, 374, 1527, 1425, 2158, 540, 740, 273, 452, 1220, 263, 15299, 88, 15256, 9899, 374, 2316, 26511, 7907, 517, 1477, 288, 25272, 9251, 17, 511, 273, 266, 1498, 3295, 17, 360, 266, 1151, 17, 293, 306, 457, 288, 1298, 343, 1658, 368, 2441, 19, 987, 8678, 341, 791, 17, 398, 448, 817, 969, 3326, 17, 815, 505, 343, 511, 273, 731, 606, 5206, 1064, 369, 7197, 1404, 891, 598, 263, 12196, 1972, 441, 369, 1233, 288, 2298, 1073, 17, 3359, 6978, 3291, 347, 791, 347, 25573, 3548, 17, 26088, 598, 263, 18629, 1425, 991, 540, 17954, 2340, 2456, 266, 18675, 6039, 266, 6082, 74, 17, 341, 2779, 266, 2298, 7038, 273, 22460, 673, 19, 388, 342, 650, 8201, 17, 29377, 7009, 18, 11270, 1056, 17, 864, 266, 29869, 1042, 11470, 5669, 4470, 17, 21296, 266, 4480, 289, 9369, 6288, 17, 890, 293, 266, 1416, 18, 3211, 1738, 266, 8314, 17, 339, 1761, 13362, 263, 3746, 16619, 268, 1183, 3262, 79, 3361, 340, 263, 7479, 10468, 7622, 4004, 419, 77, 3675, 17, 864, 5926, 17, 1362, 706, 2710, 360, 14754, 18, 5020, 853, 22954, 14521, 490, 2919, 273, 835, 22779, 2703, 289, 4167, 19288, 17, 441, 1035, 17, 2434, 94, 17, 791, 18, 77, 1485, 2126, 649, 9212, 17, 350, 915, 285, 662, 273, 16596, 552, 340, 266, 30396, 490, 15890, 2406, 1271, 17, 289, 2369, 11142, 1271, 17, 5112, 266, 6713, 268, 350, 7973, 398, 8114, 14473, 2029, 350, 16168, 19, 2667, 266, 24377, 297, 339, 363, 293, 3472, 266, 28583, 293, 266, 4993, 28956, 273, 421, 11709, 24115, 17, 273, 369, 266, 11599, 4617, 526, 942, 761, 441, 266, 10316, 354, 767, 263, 18966, 10639, 17, 24359, 94, 31048, 341, 363, 17, 497, 2606, 12191, 26753, 293, 339, 2639, 4560, 17, 407, 369, 266, 7081, 1319, 363, 3940, 1225, 2319, 360, 521, 19524, 440, 289, 6177, 18, 4508, 6315, 19, 12234, 289, 24105, 17, 749, 300, 12735, 273, 6850, 17, 3190, 17, 368, 25714, 26610, 17, 289, 266, 11533, 273, 263, 7334, 26479, 10329, 17, 350, 263, 5051, 728, 340, 1959, 293, 306, 946, 23590, 360, 803, 514, 7103, 17, 306, 285, 80, 1275, 266, 5666, 273, 263, 3289, 2635, 17, 289, 5531, 724, 9376, 288, 1706, 19016, 17, 350, 22145, 4397, 17, 478, 7295, 295, 2647, 829, 505, 266, 6002, 805, 263, 2767, 17, 398, 273, 2503, 4979, 17, 441, 273, 2764, 18, 19253, 17, 3544, 263, 23331, 29138, 273, 7221, 9755, 9002, 17, 22517, 1437, 9814, 2219, 374, 681, 31712, 288, 1365, 4251, 19, 2024, 2710, 424, 1446, 293, 1326, 658, 23230, 1757, 347, 424, 671, 389, 4728, 2340, 293, 637, 4447, 13919, 807, 441, 1493, 348, 603, 1819, 17, 637, 15163, 14885, 350, 266, 606, 1432, 17, 470, 5217, 293, 452, 266, 1498, 2450, 17, 925, 266, 2429, 273, 384, 15107, 17, 3136, 14592, 3459, 1320, 17, 28958, 540, 467, 3641, 2235, 1362, 1437, 448, 2710, 7985, 17, 289, 339, 357, 9367, 1904, 347, 4455, 465, 10572, 348, 6789, 2827, 19, 9002, 17, 289, 4397, 1904, 347, 27406, 1574, 17, 374, 266, 912, 4634, 654, 288, 10561, 9251, 289, 13667, 3774, 2938, 17, 293, 369, 890, 424, 942, 776, 641, 424, 14941, 19, 319, 13851, 5422, 807, 424, 3641, 2235, 2051, 263, 1104, 273, 341, 19, 7263, 1374, 17, 994, 540, 1362, 374, 339, 1477, 288, 266, 2671, 676, 273, 1105, 19, 9464, 289, 1579, 17, 407, 20006, 1719, 293, 30688, 17, 407, 266, 5354, 72, 1875, 21571, 266, 4480, 293, 266, 8741, 2783, 18, 72, 661, 9553, 5385, 263, 26629, 273, 7253, 374, 266, 1551, 17, 3022, 518, 289, 2729, 83, 2259, 3187, 10422, 19, 9600, 341, 398, 343, 266, 9191, 8266, 273, 266, 12015, 1851, 3539, 17, 424, 942, 347, 791, 306, 288, 266, 2714, 3509, 1293, 19, 1162, 331, 17, 424, 11566, 17, 263, 2853, 288, 3573, 17, 441, 729, 536, 3559, 293, 598, 2155, 266, 11974, 1972, 289, 641, 577, 426, 1280, 29707, 343, 263, 1542, 18, 3211, 17, 772, 331, 266, 676, 293, 306, 5722, 350, 835, 22548, 6746, 17, 289, 293, 280, 643, 6502, 339, 577, 413, 398, 9944, 1605, 18, 2871, 289, 12189, 17, 1791, 18, 3939, 17, 2042, 517, 3939, 17, 289, 972, 18, 3939, 17, 13502, 17, 18581, 17, 289, 284, 2179, 17, 343, 339, 8354, 30164, 6503, 273, 448, 338, 289, 19941, 2330, 1651, 17, 7140, 17, 4350, 286, 1594, 17, 289, 8814, 19, 1162, 331, 263, 23806, 297, 505, 288, 819, 2253, 1477, 288, 266, 4480, 354, 289, 12015, 288, 2470, 7760, 17, 350, 2406, 18, 87, 2815, 10047, 297, 660, 273, 461, 283, 534, 685, 226, 89, 6147, 417, 17, 289, 8617, 524, 2818, 16052, 350, 4925, 18, 29543, 17, 289, 10007, 1178, 273, 3289, 972, 17, 1089, 293, 306, 266, 668, 3300, 273, 421, 13108, 5424, 17, 289, 890, 467, 413, 598, 1007, 1881, 289, 3028, 1425, 4969, 289, 985, 1553, 413, 266, 7482, 13238, 288, 731, 6870, 273, 369, 29523, 9485, 417, 598, 1738, 266, 8314, 598, 649, 10198, 448, 293, 1611, 263, 10533, 354, 289, 266, 601, 4206, 17, 18821, 6147, 17, 819, 6446, 273, 598, 434, 17, 3527, 793, 288, 12595, 18738, 273, 15187, 339, 619, 668, 306, 2402, 347, 273, 339, 1895, 5259, 293, 21583, 17, 369, 532, 1233, 891, 598, 21877, 94, 1425, 4075, 597, 306, 288, 1298, 288, 266, 7275, 320, 2152, 2316, 26511, 7907, 17, 2878, 17, 641, 729, 942, 306, 6993, 354, 289, 2148, 729, 457, 4683, 421, 3335, 289, 26077, 2126, 12854, 17, 350, 452, 556, 278, 1993, 8572, 17, 6738, 88, 17, 289, 679, 324, 684, 1050, 17, 448, 791, 2402, 288, 266, 22926, 17, 441, 263, 1511, 676, 17, 289, 363, 398, 266, 316, 1463, 273, 339, 598, 313, 13935, 273, 5810, 4057, 598, 424, 426, 26515, 1226, 419, 11657, 279, 17, 266, 4112, 400, 273, 339, 3225, 536, 1712, 496, 21416, 1907, 505, 667, 5329, 273, 14072, 374, 20567, 14, 354, 1101, 2316, 26511, 7907, 1021, 8929, 273, 2441, 17, 289, 692, 2136, 293, 555, 767, 729, 14941, 17, 457, 16957, 5240, 3913, 17, 551, 21606, 17, 551, 3051, 5875, 17, 289, 551, 2126, 293, 266, 3272, 17, 774, 17, 17255, 1693, 266, 13509, 343, 6207, 348, 22, 62, 2651, 1584, 931, 19, 539, 339, 536, 6371, 20760, 1797, 336, 3270, 293, 266, 9027, 17, 729, 363, 2412, 311, 2018, 6317, 266, 3655, 9181, 10892, 273, 266, 17138, 17, 289, 29150, 551, 2109, 350, 266, 2183, 18, 4936, 800, 339, 11348, 818, 805, 556, 14086, 9479, 19, 2553, 1156, 969, 426, 14056, 1712, 266, 4691, 1715, 951, 369, 424, 856, 5409, 293, 7560, 354, 441, 266, 1706, 18015, 273, 637, 3607, 2452, 912, 350, 266, 17515, 273, 676, 17, 1108, 266, 2138, 1518, 1077, 556, 18538, 1019, 1280, 289, 24105, 594, 266, 1985, 536, 496, 17761, 4455, 9998, 407, 266, 2901, 18, 7901, 343, 263, 11069, 368, 448, 17, 289, 266, 732, 4494, 571, 306, 10480, 584, 1845, 945, 1843, 266, 2717, 273, 2924, 347, 339, 369, 424, 413, 793, 293, 9021, 350, 266, 26135, 17, 24429, 3057, 17, 289, 13779, 273, 266, 606, 1542, 18, 3211, 288, 25272, 9251, 19, 4128, 17, 424, 806, 7105, 263, 2298, 3958, 517, 945, 17, 681, 263, 945, 347, 288, 637, 3607, 424, 4836, 3244, 1654, 3958, 536, 791, 18, 83, 693, 1140, 951, 293, 7275, 17, 441, 369, 17, 594, 341, 1518, 1340, 17, 331, 2358, 8555, 343, 19, 307, 1642, 273, 6420, 807, 263, 2298, 1845, 945, 288, 1396, 17, 864, 263, 3293, 5955, 1512, 19489, 17, 27412, 8531, 19, 3380, 17, 424, 806, 7105, 511, 273, 658, 3457, 17, 3201, 17, 8613, 18, 17824, 1476, 17, 1585, 1111, 3251, 289, 7140, 94, 25274, 17, 441, 3244, 530, 2719, 10226, 340, 266, 6637, 289, 23161, 9479, 17, 498, 797, 482, 818, 360, 266, 13993, 17, 289, 13307, 347, 4849, 347, 3196, 19, 319, 2138, 18, 23253, 4285, 295, 1839, 551, 5466, 340, 266, 2008, 17, 289, 748, 3345, 1056, 727, 95, 829, 1718, 17, 347, 641, 729, 1111, 363, 347, 749, 6117, 293, 776, 293, 3992, 347, 21573, 2731, 1178, 6597, 273, 300, 643, 1899, 17, 11561, 17, 6210, 17, 289, 1595, 26057, 17, 350, 461, 8741, 17853, 17, 289, 461, 4535, 452, 1738, 266, 7691, 19, 1162, 331, 263, 3251, 373, 2492, 1843, 266, 1257, 17, 289, 266, 1706, 3295, 273, 709, 318, 2604, 265, 517, 1089, 293, 17370, 289, 11348, 310, 288, 266, 2732, 17, 3361, 293, 2138, 686, 263, 11386, 3319, 273, 4783, 661, 597, 1077, 511, 6407, 511, 825, 8817, 7109, 266, 4469, 3272, 273, 2143, 19, 8240, 414, 17, 288, 731, 606, 3295, 17, 1233, 413, 284, 14685, 17, 289, 3522, 9622, 17, 289, 23704, 4740, 24225, 339, 5860, 461, 7920, 350, 263, 976, 1706, 7140, 273, 263, 12347, 5515, 293, 452, 4247, 2992, 19, 370, 2065, 505, 18, 24629, 413, 5746, 793, 288, 10262, 708, 18, 2489, 1019, 17, 2895, 557, 13754, 602, 2875, 17, 350, 263, 5556, 31068, 340, 461, 912, 788, 569, 18, 3065, 13566, 17, 289, 266, 8867, 6288, 413, 13108, 17, 4766, 360, 266, 895, 2918 ]

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

[ 297, 2244, 18, 20288, 17, 289, 266, 5027, 18, 1271, 10373, 11974, 288, 461, 23634, 31908, 19, 10055, 566, 10572, 348, 6789, 2827, 19, 2595, 615, 277, 331, 537, 263, 4550, 273, 692, 4972, 354, 289, 16996, 18, 19448, 17, 11398, 17, 25756, 94, 17, 289, 19941, 874, 17, 452, 413, 288, 30395, 343, 266, 15747, 273, 25739, 30581, 17, 20445, 864, 23898, 11537, 293, 266, 22938, 6376, 19, 578, 363, 340, 1159, 681, 263, 945, 347, 421, 339, 2316, 26511, 7907, 790, 341, 4440, 2510, 293, 598, 15669, 266, 5838, 1425, 319, 5883, 368, 448, 407, 266, 4952, 17, 339, 5838, 363, 6651, 2969, 297, 17, 27798, 360, 266, 11260, 2582, 273, 551, 11454, 2256, 17, 4720, 1116, 598, 27294, 265, 1601, 821, 1972, 289, 556, 4037, 13472, 17, 263, 1845, 4687, 273, 266, 4666, 598, 31295, 1972, 470, 2878, 457, 263, 2285, 1103, 17, 289, 2099, 263, 6513, 2979, 298, 17, 441, 457, 10067, 1072, 15878, 708, 266, 448, 9196, 9642, 273, 598, 30935, 4508, 765, 1972, 360, 369, 14895, 2271, 357, 363, 7647, 360, 2005, 289, 2790, 17, 4808, 289, 17833, 17, 6000, 5926, 289, 803, 2949, 23111, 17, 2456, 817, 263, 5883, 273, 2138, 18, 10986, 17, 505, 289, 1110, 407, 709, 318, 2604, 265, 517, 19, 598, 370, 1874, 1770, 2032, 17, 5631, 2256, 1972, 781, 30935, 4508, 765, 17, 1280, 289, 24105, 21527, 266, 14297, 1384, 517, 5834, 1738, 350, 511, 1217, 19, 598, 3864, 2235, 624, 7118, 17, 17105, 490, 3641, 2235, 624, 2731, 17, 2823, 29412, 354, 341, 598, 88, 398, 835, 2811, 339, 3329, 551, 8523, 1425, 741, 787, 357, 25024, 266, 1035, 17, 1559, 1217, 17, 289, 3227, 293, 1362, 660, 28499, 19, 531, 4117, 2316, 26511, 7907, 6507, 505, 551, 12513, 380, 17, 289, 396, 9752, 551, 4694, 354, 288, 4117, 729, 5525, 551, 7791, 3822, 17, 740, 288, 511, 29519, 2328, 17, 748, 288, 1208, 32, 729, 825, 398, 598, 359, 326, 266, 5838, 1972, 289, 266, 1649, 363, 2790, 2414, 19, 2316, 26511, 7907, 517, 2811, 363, 339, 273, 263, 3213, 470, 457, 452, 551, 1073, 496, 598, 263, 1845, 2853, 1972, 289, 363, 772, 2895, 2722, 18353, 354, 3361, 551, 3071, 289, 668, 1357, 17, 598, 29412, 1972, 266, 2241, 427, 273, 266, 732, 18152, 17, 457, 441, 1159, 3638, 374, 339, 1638, 594, 266, 5933, 7231, 293, 1699, 275, 660, 610, 266, 2853, 17, 289, 266, 2187, 17, 300, 1332, 94, 3822, 17, 398, 878, 263, 3060, 2344, 293, 1720, 17, 331, 7028, 347, 6000, 347, 263, 23288, 21849, 17, 289, 347, 2942, 347, 556, 887, 18966, 10639, 1784, 28161, 19, 12385, 289, 3071, 475, 441, 912, 7286, 17, 4766, 288, 461, 3620, 289, 1582, 23620, 5702, 273, 3418, 490, 497, 10511, 11051, 288, 339, 6907, 369, 331, 2895, 21805, 17, 2147, 708, 8701, 17, 293, 10103, 556, 2531, 288, 1111, 995, 263, 10533, 19, 2316, 26511, 7907, 13336, 2651, 1584, 931, 19, 655, 363, 2094, 289, 3190, 273, 16106, 17, 350, 23091, 1956, 2109, 17, 289, 263, 2431, 1895, 17, 749, 30550, 360, 266, 2732, 19, 2152, 601, 7334, 288, 19412, 17, 441, 1035, 289, 4480, 273, 5935, 17, 791, 18, 75, 2017, 660, 3928, 360, 263, 828, 10527, 17, 263, 828, 13631, 17, 289, 17, 1108, 5542, 289, 1596, 2976, 17, 263, 828, 2295, 19, 29412, 17, 340, 266, 3502, 17, 350, 551, 785, 13641, 2109, 17, 551, 1335, 851, 2094, 15983, 14387, 17, 289, 7081, 18, 10189, 4397, 17, 363, 448, 2187, 273, 5935, 289, 6000, 273, 11572, 347, 293, 7892, 551, 2511, 517, 4408, 7145, 343, 551, 2308, 354, 398, 339, 537, 363, 584, 2298, 1677, 343, 8265, 17, 441, 22108, 6631, 293, 16890, 2265, 17, 641, 398, 793, 598, 2997, 29412, 1972, 793, 2922, 4640, 293, 551, 32, 289, 17503, 658, 17, 457, 263, 4408, 5990, 273, 604, 552, 288, 266, 25454, 289, 2798, 471, 3560, 273, 3060, 1178, 598, 27294, 265, 1601, 821, 1425, 598, 2451, 17, 1601, 821, 17, 567, 887, 2997, 4530, 1972, 419, 23270, 579, 19, 363, 601, 5995, 273, 1601, 821, 3258, 598, 312, 761, 577, 806, 306, 805, 18, 725, 1036, 6502, 490, 1561, 448, 2686, 343, 5430, 27858, 19, 614, 30935, 4508, 765, 17, 2469, 3641, 2235, 994, 503, 8201, 448, 1733, 1425, 598, 19964, 1141, 17, 15107, 1972, 363, 1601, 821, 517, 11714, 334, 308, 5152, 19, 598, 60, 4345, 1654, 424, 2155, 551, 1154, 1738, 350, 266, 8680, 354, 424, 598, 2071, 1077, 551, 2223, 293, 341, 17, 5900, 2235, 424, 17, 30935, 4508, 765, 814, 598, 598, 22003, 17, 5631, 2256, 1972, 781, 266, 521, 5653, 7704, 17, 598, 312, 1326, 347, 577, 289, 476, 825, 6412, 551, 1154, 708, 17, 4455, 15287, 17, 490, 762, 9352, 17, 424, 306, 2343, 450, 836, 343, 676, 17, 289, 266, 945, 598, 88, 1493, 1101, 1425, 598, 29412, 17, 29412, 807, 598, 4887, 7593, 2316, 26511, 7907, 17, 598, 1362, 374, 266, 24017, 1159, 2719, 339, 25296, 490, 266, 449, 6819, 17, 767, 598, 88, 556, 1103, 17, 424, 475, 4801, 793, 10002, 19, 1601, 821, 17, 273, 1509, 577, 426, 7794, 19, 312, 856, 1538, 306, 4050, 293, 2155, 263, 25055, 27809, 759, 343, 577, 17, 29412, 1425, 598, 3932, 497, 17, 15339, 22108, 1972, 781, 266, 1493, 5933, 17, 288, 551, 3756, 17, 3620, 3418, 17, 369, 1465, 6484, 30935, 4508, 765, 517, 2109, 17, 288, 5075, 1178, 7973, 17, 293, 551, 2005, 6445, 19, 598, 312, 825, 1066, 2110, 350, 584, 511, 441, 577, 354, 289, 748, 729, 942, 306, 2752, 17, 22108, 17, 289, 312, 694, 11175, 551, 448, 701, 577, 807, 598, 741, 29412, 1715, 551, 2511, 517, 671, 4280, 17, 27167, 18, 76, 8829, 1217, 1007, 551, 887, 17, 289, 3399, 505, 288, 551, 2361, 350, 681, 263, 5995, 17, 11364, 3270, 297, 4244, 17, 339, 341, 363, 497, 3711, 22108, 295, 2630, 340, 551, 17, 289, 30935, 4508, 765, 289, 598, 27294, 265, 1601, 821, 598, 1111, 19, 611, 10572, 348, 6789, 2827, 19, 2316, 26511, 7907, 363, 511, 273, 731, 1233, 1488, 1628, 31664, 427, 6551, 806, 426, 263, 1137, 1287, 273, 3710, 28428, 293, 8807, 1720, 19, 5318, 263, 6152, 17, 12174, 2853, 17, 729, 363, 10931, 3908, 490, 339, 331, 293, 1080, 17, 3928, 692, 263, 828, 31556, 17, 24742, 443, 17, 10350, 1592, 1548, 17, 289, 7544, 279, 961, 268, 17, 729, 457, 263, 1156, 5575, 17, 398, 601, 3839, 17, 650, 2355, 2353, 17, 263, 10669, 2246, 273, 3605, 6714, 17, 1353, 13951, 8299, 289, 10899, 2758, 17, 350, 263, 798, 31255, 273, 266, 598, 1389, 440, 17, 289, 1137, 15053, 4339, 13644, 17, 369, 17, 641, 1769, 564, 279, 293, 2786, 17, 597, 426, 728, 551, 263, 706, 4139, 14983, 2241, 427, 343, 263, 1605, 25351, 291, 19, 1663, 658, 5698, 17, 289, 551, 20052, 17, 6152, 2295, 17, 729, 5182, 29412, 6024, 3913, 354, 289, 641, 266, 1493, 3213, 363, 398, 1904, 448, 3748, 347, 575, 273, 551, 19371, 17, 729, 2686, 374, 1874, 266, 2930, 273, 263, 2511, 517, 8492, 2725, 289, 2753, 636, 17, 289, 363, 347, 1005, 2947, 347, 2167, 407, 339, 706, 14611, 4687, 273, 29798, 17, 358, 1512, 5933, 470, 536, 1909, 551, 1578, 340, 339, 273, 263, 1784, 27809, 759, 19, 2316, 26511, 7907, 457, 3559, 925, 551, 5033, 273, 8439, 288, 551, 4318, 17, 289, 692, 273, 263, 5800, 360, 497, 1341, 24274, 308, 17, 363, 1582, 3874, 708, 5700, 602, 3590, 19, 987, 555, 398, 3694, 729, 4284, 551, 740, 1658, 525, 424, 1734, 641, 3312, 1440, 555, 17, 1746, 288, 30417, 354, 289, 266, 1916, 614, 579, 19, 363, 263, 3437, 273, 358, 10316, 2878, 557, 9040, 602, 15045, 19, 1057, 6466, 475, 12223, 289, 7767, 17, 441, 384, 1103, 374, 266, 1551, 273, 263, 4394, 363, 27663, 530, 19, 370, 3213, 2803, 26839, 357, 22660, 279, 289, 5900, 363, 1106, 2414, 293, 761, 551, 887, 1374, 354, 1074, 426, 424, 1649, 293, 3694, 441, 339, 288, 8520, 503, 729, 5207, 3913, 19, 4625, 263, 785, 1105, 467, 293, 2319, 289, 596, 11321, 17, 289, 1106, 26511, 7907, 3646, 5083, 293, 2959, 17, 1108, 357, 1066, 4822, 384, 3634, 293, 384, 2484, 354, 289, 2316, 26511, 7907, 8607, 551, 27361, 2408, 288, 21351, 1036, 1527, 819, 1924, 969, 2032, 289, 2032, 1843, 598, 1364, 2357, 9138, 1425, 3549, 998, 1477, 441, 511, 363, 288, 5550, 8351, 483, 17, 289, 748, 1106, 26511, 7907, 1291, 263, 25055, 12841, 293, 384, 2959, 17, 728, 263, 6481, 374, 21045, 369, 8848, 503, 557, 8283, 602, 637, 13654, 5575, 619, 1220, 288, 17, 289, 20598, 503, 293, 8312, 339, 12854, 288, 25272, 9251, 369, 3399, 448, 6627, 288, 266, 7275, 17, 1930, 2316, 26511, 7907, 374, 1527, 13336, 2651, 1584, 931, 19, 743, 340, 266, 29360, 729, 457, 452, 551, 1073, 496, 8773, 297, 293, 5470, 354, 490, 1940, 729, 363, 13243, 594, 729, 2975, 537, 19, 7003, 339, 571, 306, 17, 266, 28194, 8868, 1076, 1988, 912, 360, 384, 1069, 5715, 17, 4766, 263, 26077, 17241, 4640, 293, 341, 288, 263, 7755, 1791, 17, 288, 369, 384, 3044, 475, 1538, 701, 8183, 17, 289, 263, 26048, 17, 2931, 289, 498, 7908, 1157, 347, 384, 887, 7767, 4544, 17, 5316, 293, 384, 4988, 360, 384, 1098, 662, 6035, 8055, 19, 2024, 1098, 662, 6035, 729, 363, 17, 2042, 2853, 807, 343, 263, 676, 17, 350, 551, 13283, 1455, 525, 441, 748, 551, 2955, 11859, 17, 29412, 17, 363, 1314, 32, 289, 551, 1916, 3718, 17, 347, 266, 706, 9449, 1670, 273, 384, 5067, 289, 9789, 17, 20919, 266, 1079, 273, 384, 2992, 17, 4247, 289, 3590, 17, 293, 384, 791, 18, 7758, 15865, 2484, 17, 448, 266, 6642, 363, 293, 263, 1137, 2252, 17384, 17, 289, 2316, 26511, 7907, 3399, 29639, 23684, 289, 17907, 890, 288, 551, 16805, 19, 2451, 17, 341, 331, 601, 6152, 289, 7018, 293, 426, 263, 1035, 2992, 1314, 577, 374, 835, 887, 12838, 17, 557, 2147, 594, 577, 413, 6452, 350, 263, 1357, 340, 1289, 577, 295, 1942, 17, 293, 2750, 577, 594, 577, 426, 497, 2032, 1665, 343, 11709, 11859, 354, 289, 17, 288, 266, 2109, 273, 266, 1432, 17, 421, 363, 2316, 26511, 7907, 517, 6643, 6746, 19, 370, 2109, 273, 266, 1432, 17, 347, 2875, 17, 825, 398, 1362, 610, 266, 6123, 10986, 774, 266, 16010, 363, 32, 441, 637, 2042, 8055, 17, 368, 1582, 637, 2431, 8055, 17, 363, 749, 7512, 30585, 360, 266, 4659, 369, 497, 511, 3145, 3048, 293, 1707, 19, 370, 1343, 331, 17, 1106, 614, 26511, 7907, 457, 263, 4552, 89, 24870, 19, 7556, 263, 2431, 491, 17, 357, 457, 263, 1245, 293, 263, 7818, 354, 441, 357, 363, 263, 7413, 17, 4447, 1106, 3537, 17, 289, 357, 13071, 1076, 350, 511, 19, 2451, 17, 421, 4552, 89, 24870, 363, 266, 31312, 5891, 339, 357, 17, 1058, 26511, 7907, 17, 363, 266, 1805, 296, 4576, 10151, 273, 511, 273, 266, 14391, 5802, 288, 1396, 19, 2024, 357, 1566, 293, 426, 2555, 266, 1106, 9068, 6186, 289, 2304, 17, 368, 762, 341, 5543, 339, 681, 263, 8209, 9263, 694, 426, 1407, 1260, 288, 384, 887, 1410, 347, 22910, 10325, 293, 263, 1035, 2142, 25299, 18, 3211, 17, 357, 1066, 11959, 1076, 293, 9943, 354, 357, 363, 5722, 339, 266, 14391, 1630, 288, 2356, 993, 11576, 925, 384, 6239, 17, 289, 350, 266, 26484, 357, 2740, 1076, 293, 1611, 419, 1820, 556, 9010, 475, 11058, 14088, 853, 357, 942, 8978, 1289, 357, 5207, 19, 908, 424, 426, 1359, 17, 796, 10572, 348, 6789, 2827, 19, 357, 1008, 8978, 263, 601, 1410, 530, 3213, 32, 441, 17, 12882, 6, 729, 1923, 503, 497, 4576, 7333, 19, 5036, 263, 4122, 6212, 17, 452, 384, 12817, 17, 452, 384, 6103, 325, 3057, 17, 452, 384, 2441, 17, 597, 398, 5976, 266, 2126, 1103, 293, 266, 6633, 2328, 357, 4697, 556, 2655, 19, 620, 825, 398, 2834, 266, 3017, 273, 341, 32, 289, 357, 1066, 3293, 6631, 2042, 29412, 1437, 448, 749, 347, 339, 22654, 1357, 11623, 19, 1360, 452, 4550, 273, 263, 1600, 363, 13501, 17, 357, 5503, 293, 2345, 505, 289, 3163, 412, 384, 668, 2498, 517, 28715, 1357, 17, 263, 5955, 912, 4530, 17, 1488, 1564, 11043, 289, 31207, 1805, 4295, 5900, 266, 1106, 491, 517, 1883, 407, 266, 740, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 598, 27294, 265, 1601, 821, 1972, 288, 2819, 17, 2171, 358, 15203, 412, 273, 266, 26511, 7907, 2126, 17, 289, 363, 2902, 2740, 360, 10029, 293, 306, 266, 8960, 2498, 273, 4455, 912, 29412, 19, 1773, 12658, 17, 1055, 17, 475, 2413, 263, 2671, 2917, 32, 289, 266, 2065, 3048, 347, 912, 347, 2065, 1683, 555, 273, 461, 3220, 15636, 17, 368, 266, 3879, 10664, 279, 660, 343, 500, 925, 1073, 19, 1663, 452, 384, 16393, 3141, 17, 1106, 26511, 7907, 363, 263, 828, 17, 1245, 18, 779, 11110, 491, 354, 289, 2148, 341, 331, 637, 5891, 339, 357, 2279, 5113, 289, 4755, 1386, 27444, 523, 11366, 17, 357, 8629, 360, 4109, 6024, 293, 384, 2484, 17, 288, 551, 887, 1120, 17, 347, 357, 1104, 279, 341, 17, 598, 288, 6532, 273, 384, 9789, 343, 551, 1401, 17, 289, 5067, 288, 551, 3919, 1972, 490, 4331, 3088, 297, 407, 551, 263, 5206, 5440, 339, 729, 597, 13149, 15980, 625, 266, 9636, 273, 551, 4841, 293, 384, 11454, 17, 694, 266, 3501, 4489, 293, 28679, 791, 17, 289, 864, 263, 3437, 490, 2325, 263, 7036, 343, 29412, 374, 551, 887, 12038, 17, 441, 398, 8335, 511, 18, 28355, 273, 266, 1079, 9964, 2992, 19, 370, 21688, 1008, 398, 785, 21681, 384, 7001, 7710, 19, 741, 1108, 551, 5440, 2715, 384, 8055, 817, 263, 3992, 1178, 1761, 17, 729, 1066, 31423, 273, 8633, 341, 17, 1074, 273, 12228, 297, 551, 23303, 1357, 374, 266, 5299, 273, 551, 11454, 19, 2316, 26511, 7907, 363, 263, 2853, 452, 805, 17, 289, 424, 544, 398, 1080, 266, 3017, 273, 17619, 266, 667, 8756, 914, 457, 398, 3330, 551, 1374, 354, 340, 266, 3502, 17, 1633, 505, 1744, 347, 467, 475, 17, 729, 5317, 12577, 421, 17840, 367, 347, 263, 10286, 16456, 407, 551, 9824, 635, 1007, 2742, 289, 10363, 19, 1764, 363, 17, 3928, 17, 601, 5995, 273, 598, 40, 423, 265, 1601, 821, 20, 289, 3399, 14491, 13336, 2651, 1584, 931, 19, 923, 3099, 293, 266, 945, 594, 729, 942, 959, 421, 598, 11249, 10372, 1972, 347, 729, 1116, 500, 17, 6589, 4284, 289, 5556, 19, 1663, 452, 658, 1958, 6319, 17, 341, 331, 497, 3711, 339, 2316, 26511, 7907, 17, 470, 17, 1108, 263, 12704, 1384, 17, 363, 358, 28814, 1300, 2853, 17, 825, 1066, 1904, 1077, 505, 551, 1374, 293, 2160, 551, 544, 19, 578, 363, 263, 1351, 273, 266, 2955, 3141, 354, 448, 740, 729, 728, 341, 17, 289, 748, 23276, 341, 505, 17, 289, 748, 7240, 263, 3289, 511, 17, 369, 729, 8611, 293, 1834, 1925, 1631, 475, 557, 1137, 17, 289, 13149, 1530, 19267, 354, 1230, 17, 288, 266, 15832, 17, 29412, 289, 598, 27294, 265, 1601, 821, 598, 475, 5430, 505, 293, 339, 1947, 374, 369, 1493, 1233, 17, 557, 2147, 288, 3708, 273, 1658, 18, 17824, 17, 413, 4455, 18850, 311, 3650, 293, 426, 263, 544, 273, 461, 887, 19, 370, 29254, 21713, 463, 17, 1055, 17, 363, 511, 273, 731, 1493, 4733, 288, 1488, 4535, 368, 5285, 266, 3017, 273, 4628, 331, 668, 15567, 347, 263, 7654, 9291, 17, 289, 263, 18190, 9487, 293, 263, 1073, 273, 10099, 490, 288, 749, 266, 732, 1319, 347, 339, 288, 369, 266, 9586, 1964, 6801, 4276, 8871, 367, 2719, 266, 9643, 19, 620, 14675, 341, 293, 306, 266, 1330, 6746, 273, 6120, 17, 441, 339, 341, 571, 306, 14602, 311, 28670, 350, 263, 912, 16763, 386, 677, 17, 289, 288, 575, 1334, 273, 2990, 828, 5376, 890, 1644, 2396, 4049, 19, 578, 331, 4142, 293, 4586, 374, 767, 358, 2093, 1947, 266, 1441, 28228, 273, 266, 13953, 2898, 1474, 288, 2065, 19, 7761, 2823, 619, 2996, 271, 13026, 794, 729, 9719, 263, 8953, 17, 369, 729, 6377, 551, 23735, 17, 289, 340, 369, 729, 13139, 4985, 749, 24603, 1461, 17, 398, 878, 1137, 15586, 15308, 19, 1937, 551, 7070, 4318, 17, 266, 8898, 3017, 273, 2484, 289, 2511, 3026, 331, 5609, 293, 551, 1374, 354, 289, 293, 306, 4284, 17, 1108, 729, 5791, 398, 767, 341, 331, 17, 347, 1978, 289, 14948, 263, 18462, 347, 293, 2110, 5555, 289, 426, 263, 27809, 759, 19, 6987, 5631, 17, 340, 266, 3502, 17, 536, 497, 3017, 273, 692, 263, 15810, 3389, 2854, 19, 1057, 7440, 273, 692, 5546, 505, 331, 8114, 26751, 350, 1477, 27697, 19, 1360, 598, 357, 331, 263, 491, 17, 357, 1341, 293, 306, 263, 7391, 17, 368, 263, 21353, 17, 368, 263, 4964, 884, 1786, 621, 734, 357, 544, 426, 263, 4482, 289, 24922, 17, 289, 776, 452, 945, 293, 266, 13606, 17, 289, 4248, 347, 749, 347, 357, 3176, 1915, 17, 289, 4531, 2842, 3935, 864, 22627, 15263, 441, 293, 2345, 505, 2065, 273, 384, 887, 17, 289, 2933, 288, 511, 951, 17, 331, 266, 601, 998, 1770, 357, 12924, 273, 19, 598, 27294, 265, 320, 395, 10572, 348, 6789, 2827, 19, 1601, 821, 598, 7658, 266, 2875, 10212, 273, 384, 1187, 19, 6429, 358, 28715, 17, 357, 457, 1066, 1563, 266, 1922, 273, 263, 7867, 490, 7354, 289, 15107, 26511, 7907, 14793, 503, 350, 347, 1187, 289, 5962, 8444, 263, 1846, 289, 2511, 347, 263, 8130, 2229, 912, 4530, 825, 3254, 19, 741, 2148, 357, 457, 384, 26277, 17807, 17, 681, 347, 16652, 407, 29412, 17, 2985, 293, 2411, 17, 692, 309, 7295, 1643, 293, 384, 22738, 594, 537, 17, 289, 1278, 28480, 818, 925, 339, 14611, 961, 17, 266, 4346, 17275, 32, 1101, 17, 4049, 17, 384, 1073, 363, 347, 3874, 347, 584, 532, 1357, 517, 273, 384, 887, 1947, 17, 340, 1289, 2308, 17, 289, 1658, 17, 289, 8929, 457, 17553, 407, 266, 945, 273, 556, 4707, 19, 1682, 1509, 17, 1106, 1058, 26511, 7907, 1308, 503, 293, 19960, 17, 339, 706, 31207, 273, 5507, 17, 774, 1601, 821, 12949, 293, 13285, 490, 497, 1960, 19372, 354, 3638, 374, 749, 7199, 288, 384, 598, 5321, 351, 18, 27697, 12, 289, 598, 77, 12191, 293, 266, 1837, 1972, 347, 17, 1847, 17, 357, 11623, 17, 343, 266, 3404, 273, 3351, 357, 17159, 288, 266, 3886, 273, 1496, 22492, 354, 363, 5182, 293, 598, 6446, 358, 21302, 598, 288, 263, 2579, 369, 266, 1298, 972, 1271, 8247, 4440, 20658, 5668, 354, 289, 5835, 263, 4438, 1047, 273, 3294, 297, 12287, 610, 13480, 2686, 1512, 17, 350, 263, 4607, 24687, 343, 266, 5575, 17, 5157, 17, 13385, 17, 289, 12658, 273, 339, 2589, 311, 21503, 19, 1682, 1509, 17, 1111, 17, 357, 363, 10076, 343, 266, 2638, 19, 1663, 384, 15636, 17, 288, 767, 532, 3672, 825, 357, 2155, 925, 384, 10539, 17, 289, 9025, 3437, 3065, 5157, 273, 24069, 288, 767, 331, 6741, 828, 3495, 320, 3834, 26511, 7907, 6370, 293, 1077, 384, 11454, 263, 3437, 490, 339, 363, 341, 19, 1360, 3471, 762, 1601, 821, 363, 6675, 340, 374, 19960, 17, 289, 767, 357, 12949, 537, 17, 266, 7354, 8854, 4028, 17, 598, 1118, 1382, 17, 3504, 807, 3243, 17, 357, 598, 2071, 2110, 293, 306, 263, 3437, 1425, 578, 331, 263, 1351, 343, 13049, 1740, 266, 4037, 8868, 363, 4374, 273, 4259, 358, 1984, 347, 293, 266, 4530, 517, 2969, 288, 421, 1617, 3886, 17, 368, 1740, 357, 363, 1076, 263, 601, 828, 4261, 273, 266, 3194, 357, 448, 749, 12303, 19, 3661, 887, 3017, 331, 17, 339, 2699, 4707, 17, 1074, 11351, 17, 1074, 4379, 17, 1074, 1578, 17, 12828, 293, 8900, 263, 3437, 354, 289, 339, 3873, 413, 293, 306, 790, 374, 266, 8903, 17, 266, 638, 303, 17, 289, 266, 343, 394, 17, 288, 266, 9731, 17, 289, 794, 266, 17747, 17, 347, 791, 347, 288, 266, 4647, 517, 5638, 18, 5042, 17, 266, 3748, 20108, 17, 289, 266, 7293, 2313, 1720, 19, 991, 637, 13336, 2651, 1584, 931, 19, 988, 6407, 17, 263, 3437, 331, 24618, 17, 8229, 17, 7525, 17, 289, 995, 30448, 818, 490, 918, 412, 1843, 266, 2948, 17, 289, 3200, 18, 29403, 15991, 3544, 266, 1559, 19, 3427, 18, 16778, 289, 498, 717, 450, 17, 598, 357, 1518, 293, 1324, 347, 357, 597, 467, 694, 555, 2428, 503, 1972, 289, 3876, 11121, 407, 266, 1960, 759, 273, 2782, 2930, 273, 384, 3154, 17, 491, 368, 2853, 17, 2139, 368, 11839, 17, 347, 357, 597, 407, 266, 3894, 22584, 273, 16787, 558, 17, 14667, 8155, 17, 14031, 17, 368, 584, 532, 1956, 18640, 1608, 19, 598, 13481, 788, 324, 905, 17621, 4788, 2549, 598, 490, 357, 536, 263, 598, 8407, 517, 6333, 350, 263, 2853, 517, 1347, 14614, 289, 681, 263, 511, 17, 306, 357, 288, 263, 15302, 517, 19016, 368, 263, 8903, 863, 517, 798, 5760, 490, 1551, 297, 794, 384, 5144, 368, 1749, 851, 343, 384, 3436, 490, 424, 14671, 263, 601, 5024, 438, 343, 27912, 490, 263, 601, 28942, 343, 828, 13406, 289, 828, 2468, 19, 987, 413, 1106, 26912, 1108, 288, 637, 5575, 17, 289, 7149, 637, 7741, 571, 306, 15577, 2817, 3955, 360, 266, 1493, 17, 289, 8299, 360, 266, 606, 19, 7191, 17, 890, 658, 15592, 3760, 597, 17, 424, 1326, 17, 426, 496, 5722, 350, 598, 27294, 265, 1601, 821, 517, 598, 6950, 293, 306, 2243, 263, 598, 3437, 1425, 5582, 457, 496, 21780, 350, 1106, 26511, 7907, 17, 289, 457, 728, 503, 511, 273, 551, 887, 6596, 19, 2152, 452, 266, 5507, 288, 2356, 825, 426, 24133, 368, 5850, 503, 288, 339, 1617, 19, 741, 384, 3332, 19751, 517, 3213, 3619, 421, 4431, 17, 350, 452, 263, 2853, 517, 10180, 1767, 463, 16947, 17, 266, 601, 740, 3225, 357, 6473, 374, 266, 26318, 273, 339, 21563, 2327, 356, 859, 17, 470, 3317, 1493, 4733, 273, 5022, 969, 289, 4920, 343, 1072, 266, 20888, 289, 452, 266, 20108, 19, 598, 1979, 555, 577, 1326, 273, 266, 1069, 8941, 17, 567, 2997, 320, 598, 781, 614, 1006, 6387, 722, 293, 384, 2484, 490, 263, 15757, 517, 3071, 17, 497, 1122, 807, 490, 347, 357, 6484, 505, 266, 2013, 607, 733, 6522, 85, 1192, 293, 1808, 266, 5275, 273, 384, 1761, 11699, 19, 598, 620, 363, 263, 3235, 3501, 17, 312, 2663, 17, 374, 19960, 19, 312, 596, 7669, 424, 856, 426, 575, 4939, 350, 503, 1425, 598, 2152, 263, 3678, 273, 341, 1972, 363, 266, 5152, 354, 598, 357, 331, 263, 3437, 819, 3904, 273, 503, 19, 312, 2144, 341, 374, 1527, 360, 266, 1151, 357, 17519, 6919, 288, 350, 384, 2842, 863, 390, 1303, 19, 348, 11121, 17, 273, 1509, 17, 363, 660, 273, 266, 1151, 17, 490, 289, 339, 23839, 476, 17, 614, 1006, 6387, 722, 17, 577, 1066, 2242, 437, 2223, 293, 339, 491, 17, 490, 767, 598, 88, 266, 1146, 273, 1021, 263, 441, 1950, 320, 741, 748, 17, 357, 598, 88, 681, 263, 9240, 828, 18, 11201, 4530, 490, 441, 312, 26517, 352, 577, 598, 269, 1437, 13808, 1906, 1425, 968, 19851, 3829, 893, 348, 6789, 2827, 19, 741, 17, 2585, 2414, 17, 2398, 4633, 1006, 6387, 722, 363, 26373, 263, 11517, 289, 1084, 1491, 4414, 414, 19, 2316, 1006, 6387, 722, 790, 497, 1665, 293, 804, 427, 551, 3884, 8303, 354, 289, 1601, 821, 363, 772, 27184, 384, 3958, 6325, 367, 350, 2316, 26511, 7907, 374, 709, 318, 2604, 265, 517, 19, 987, 426, 1314, 266, 2635, 448, 785, 288, 461, 5838, 17, 339, 467, 426, 457, 7791, 676, 293, 598, 15669, 598, 368, 8132, 551, 19, 10564, 273, 658, 4691, 17, 1055, 17, 1715, 951, 354, 289, 701, 21527, 1738, 263, 18699, 11561, 17, 358, 7823, 2920, 17, 601, 15586, 18, 11201, 17, 347, 30935, 4508, 765, 781, 17, 289, 6055, 263, 8458, 4936, 338, 5703, 350, 358, 2776, 288, 263, 1769, 1761, 18, 11699, 17, 470, 702, 15338, 374, 266, 5926, 17, 289, 4191, 500, 598, 1595, 1884, 433, 88, 1972, 467, 3227, 266, 912, 16667, 517, 1154, 1843, 266, 4952, 17, 289, 2782, 598, 266, 8680, 1972, 347, 1601, 821, 457, 4331, 10203, 17, 7631, 1474, 293, 461, 961, 17, 289, 2660, 660, 650, 461, 27252, 288, 263, 3778, 339, 5722, 890, 266, 31295, 17, 289, 574, 430, 15526, 266, 3501, 19, 598, 1979, 263, 2997, 4530, 341, 331, 807, 598, 1353, 2316, 26511, 7907, 17, 347, 729, 3399, 374, 1601, 821, 517, 1564, 6445, 17, 289, 384, 2343, 7081, 1335, 1423, 17, 17761, 793, 384, 2361, 17, 3190, 279, 360, 266, 4172, 293, 263, 2431, 17221, 10671, 17, 289, 815, 505, 350, 266, 8701, 289, 4452, 273, 384 ]

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

[ 961, 19, 4625, 3400, 907, 273, 6742, 8029, 2316, 26511, 7907, 517, 1374, 17, 288, 266, 22046, 273, 339, 5883, 289, 263, 1437, 273, 3908, 972, 369, 11348, 818, 1007, 598, 266, 7154, 74, 598, 289, 266, 4952, 19, 10677, 729, 15600, 551, 1922, 273, 8105, 289, 5157, 273, 7035, 288, 398, 25820, 266, 2269, 12165, 339, 694, 374, 1527, 1077, 339, 5955, 4530, 266, 1154, 273, 384, 2126, 354, 289, 8504, 729, 5503, 339, 398, 1208, 2986, 694, 862, 878, 263, 1310, 22144, 273, 266, 5982, 10357, 17, 598, 3382, 2126, 491, 18, 1038, 18, 10015, 1594, 1972, 289, 263, 2032, 6975, 4961, 18, 1086, 273, 551, 998, 544, 289, 27444, 19, 2667, 729, 7580, 729, 457, 1314, 511, 29365, 17, 339, 597, 1077, 358, 3335, 5363, 26040, 343, 266, 3220, 12165, 354, 748, 729, 19382, 774, 729, 457, 1291, 341, 354, 289, 748, 729, 1353, 767, 263, 3718, 266, 5955, 10683, 597, 1077, 343, 551, 887, 2710, 5933, 354, 289, 5078, 551, 5575, 2733, 981, 532, 17, 1654, 17, 288, 551, 1374, 517, 2287, 17, 729, 2144, 266, 21640, 490, 266, 672, 1234, 16416, 88, 490, 266, 13841, 490, 266, 10376, 734, 289, 17, 1108, 998, 17, 398, 1874, 17, 266, 601, 28161, 17, 398, 1111, 270, 19273, 17, 369, 729, 3913, 694, 6282, 340, 266, 1665, 19, 13336, 2651, 1584, 931, 19, 855, 2152, 511, 1104, 1008, 2316, 26511, 7907, 2663, 273, 263, 785, 18, 92, 9408, 4560, 350, 369, 30935, 4508, 765, 363, 3669, 297, 29412, 289, 1601, 821, 354, 289, 369, 17, 347, 341, 2779, 293, 13143, 5906, 1377, 289, 8445, 288, 384, 1493, 10918, 417, 17, 289, 331, 17, 3928, 17, 263, 2032, 3123, 273, 266, 1196, 13088, 273, 15904, 347, 293, 13206, 584, 10940, 340, 263, 9084, 17, 424, 571, 347, 791, 1243, 17, 347, 1780, 347, 2167, 17, 288, 384, 887, 1758, 19, 598, 3116, 867, 17, 5631, 2256, 320, 598, 781, 266, 828, 18, 17229, 1926, 31295, 17, 288, 2795, 293, 263, 1831, 407, 1733, 18, 5502, 297, 1601, 821, 19, 598, 3116, 867, 814, 2152, 263, 3678, 273, 341, 354, 1074, 1101, 14109, 354, 1074, 577, 2699, 19, 312, 2242, 299, 263, 3678, 278, 29903, 95, 818, 1108, 1527, 18442, 1070, 23157, 19, 578, 598, 88, 263, 828, 817, 969, 2722, 772, 354, 441, 312, 3641, 2235, 1326, 347, 312, 856, 1280, 6102, 341, 19, 1155, 577, 598, 73, 864, 293, 2663, 341, 17, 2823, 29412, 17, 312, 598, 2071, 2150, 341, 577, 17, 347, 791, 347, 312, 619, 19, 2324, 959, 17, 341, 363, 1582, 263, 456, 4577, 456, 407, 3627, 293, 973, 19, 3380, 17, 266, 1343, 331, 17, 312, 457, 3653, 263, 17359, 450, 16667, 601, 1538, 701, 312, 363, 660, 273, 567, 676, 17, 289, 476, 289, 263, 491, 424, 1446, 293, 891, 456, 8947, 4752, 7, 2039, 18894, 288, 551, 17, 289, 2148, 19066, 729, 363, 263, 21733, 1496, 1332, 17, 289, 772, 683, 3259, 343, 1114, 92, 661, 17, 424, 457, 4455, 828, 1721, 350, 551, 594, 266, 792, 480, 25170, 363, 2093, 17, 289, 266, 6910, 4455, 10584, 450, 19, 801, 537, 1066, 363, 497, 2298, 12754, 793, 551, 17, 289, 312, 598, 2071, 2150, 624, 762, 341, 363, 19, 2123, 7354, 17, 357, 6413, 293, 3228, 476, 350, 266, 2441, 343, 551, 273, 263, 9084, 19, 1764, 363, 1291, 650, 266, 17061, 273, 263, 9084, 490, 6624, 836, 273, 263, 9084, 490, 12213, 551, 740, 10936, 273, 263, 9084, 490, 289, 2039, 1110, 273, 263, 9084, 354, 448, 17, 347, 312, 1080, 17, 9084, 598, 88, 266, 7544, 945, 17, 293, 567, 1374, 17, 288, 266, 1079, 2986, 19, 3380, 17, 266, 1215, 1332, 297, 318, 548, 490, 339, 598, 88, 767, 424, 1116, 551, 17, 2823, 490, 1465, 2249, 263, 4172, 24736, 19, 741, 511, 945, 490, 341, 363, 263, 9084, 17, 1111, 490, 476, 289, 567, 16033, 363, 3565, 288, 350, 263, 2343, 450, 14003, 490, 8947, 4752, 357, 781, 452, 2456, 729, 363, 805, 18, 1281, 707, 288, 266, 972, 490, 350, 263, 1319, 13993, 407, 266, 1074, 6249, 14343, 6249, 7901, 17, 289, 266, 8783, 793, 1437, 647, 2027, 547, 17, 347, 341, 942, 306, 772, 19, 312, 457, 1159, 3559, 3099, 293, 1362, 293, 266, 24394, 310, 17, 594, 266, 1985, 4887, 396, 9752, 1245, 340, 266, 532, 24394, 17, 289, 4569, 660, 1110, 17138, 17, 312, 2144, 767, 363, 3565, 19, 4176, 363, 341, 17, 5631, 1601, 821, 814, 2152, 263, 3678, 354, 341, 363, 263, 1706, 511, 354, 289, 312, 3048, 748, 424, 694, 2155, 341, 3201, 289, 4121, 19, 578, 3480, 2922, 4455, 320, 566, 10572, 348, 6789, 2827, 19, 2752, 293, 8462, 275, 476, 17, 441, 312, 887, 312, 21594, 2235, 864, 266, 6683, 273, 341, 19, 3380, 17, 20447, 312, 825, 295, 936, 16992, 1169, 266, 2738, 429, 1715, 551, 19, 1764, 7760, 2089, 17, 289, 1110, 729, 2039, 32, 289, 1108, 476, 289, 8947, 4752, 3558, 360, 343, 263, 4246, 293, 1985, 686, 17, 424, 1066, 3048, 4979, 762, 341, 363, 1654, 424, 790, 4352, 702, 3032, 374, 981, 532, 805, 263, 10197, 21302, 339, 5543, 293, 306, 340, 4026, 594, 729, 1530, 1078, 77, 3714, 17, 343, 452, 266, 1432, 864, 667, 6846, 12203, 374, 959, 18, 88, 1240, 8869, 461, 13478, 1365, 273, 3655, 972, 19, 8947, 4752, 357, 363, 358, 8830, 491, 17, 289, 398, 448, 1559, 347, 476, 354, 448, 594, 312, 2144, 667, 363, 497, 3508, 343, 511, 21302, 17, 312, 1314, 341, 354, 289, 7339, 312, 17, 641, 312, 619, 2155, 836, 567, 3045, 10619, 517, 18689, 289, 575, 273, 567, 8534, 17, 312, 571, 426, 263, 13285, 343, 341, 1101, 19, 598, 370, 2738, 429, 363, 1111, 1538, 805, 293, 2155, 505, 3687, 864, 263, 2138, 17, 289, 8947, 4752, 357, 2054, 340, 293, 384, 21302, 289, 5112, 660, 864, 263, 491, 19, 3380, 17, 767, 1007, 12804, 289, 1545, 4341, 972, 17, 312, 2975, 706, 273, 1631, 2046, 19, 312, 363, 347, 1559, 347, 263, 5931, 748, 17, 289, 1108, 341, 363, 263, 785, 13285, 343, 263, 491, 312, 457, 794, 476, 17, 312, 1066, 2555, 1347, 772, 352, 19, 8947, 4752, 17, 1111, 17, 2413, 340, 1949, 288, 567, 18672, 354, 424, 21594, 2235, 1080, 749, 17, 577, 571, 306, 2585, 17, 441, 312, 761, 1697, 23589, 273, 384, 7077, 315, 289, 1171, 2065, 19, 1174, 998, 312, 2663, 503, 10965, 1904, 916, 6602, 18, 3065, 17, 456, 30935, 4508, 765, 17, 341, 598, 88, 497, 1146, 17, 312, 306, 776, 265, 12, 1110, 772, 807, 456, 741, 594, 312, 3227, 340, 567, 1551, 293, 1362, 374, 503, 357, 363, 1904, 14462, 17, 289, 457, 994, 266, 21302, 2497, 836, 4049, 19, 312, 31189, 2235, 959, 341, 19210, 19, 312, 4781, 293, 2155, 28449, 273, 503, 17, 441, 357, 363, 3559, 19, 312, 2144, 266, 14975, 5133, 1108, 17, 289, 295, 917, 343, 503, 17, 441, 341, 363, 497, 1146, 17, 289, 701, 339, 312, 2054, 340, 2271, 19, 370, 2183, 363, 6675, 1110, 1111, 17, 289, 3305, 268, 21606, 3025, 293, 1340, 610, 567, 1154, 793, 8947, 4752, 19, 8498, 312, 1353, 357, 363, 288, 3028, 748, 17, 289, 1527, 312, 598, 2071, 14357, 312, 2247, 2922, 10965, 293, 476, 17, 441, 312, 31189, 2235, 2150, 767, 341, 781, 19, 370, 24961, 88, 17, 1111, 17, 467, 3025, 293, 1114, 484, 374, 476, 17, 289, 14125, 346, 288, 567, 6601, 354, 511, 785, 18, 18658, 598, 447, 302, 2547, 279, 476, 340, 266, 11426, 17, 289, 343, 263, 3678, 312, 2996, 3048, 1740, 312, 363, 2671, 368, 7124, 2578, 19, 1174, 998, 17, 347, 312, 1566, 805, 266, 14464, 273, 266, 28122, 17, 312, 2144, 266, 580, 593, 288, 266, 8325, 17, 289, 266, 10121, 8137, 374, 709, 318, 2604, 265, 517, 17, 289, 343, 22326, 312, 1353, 312, 694, 2155, 2340, 701, 452, 17, 448, 312, 3227, 340, 567, 1286, 293, 2155, 567, 4042, 263, 3678, 19, 312, 2314, 293, 426, 728, 263, 25296, 17, 347, 312, 13336, 409, 2129, 47, 2745, 51, 19, 752, 6261, 17, 793, 421, 676, 17, 441, 5432, 774, 312, 597, 17, 312, 31189, 2235, 959, 341, 19210, 17, 668, 4569, 1110, 17138, 293, 2155, 567, 22334, 263, 912, 17, 312, 2144, 360, 266, 16667, 374, 10554, 288, 266, 6850, 339, 266, 8783, 363, 340, 266, 1536, 19, 2123, 1347, 504, 3517, 610, 567, 2894, 748, 19, 312, 457, 13473, 263, 5838, 1440, 2414, 1092, 266, 29524, 1070, 26084, 17, 289, 312, 3048, 762, 1559, 341, 6110, 17, 289, 767, 567, 4550, 363, 17, 21487, 17, 289, 1780, 1574, 1111, 19, 4128, 312, 1353, 312, 598, 73, 776, 11497, 1110, 374, 1527, 17, 864, 567, 16033, 1008, 17, 289, 312, 781, 263, 3678, 273, 263, 5307, 17, 1159, 7985, 864, 17, 289, 748, 312, 2707, 8413, 17, 448, 312, 1353, 767, 363, 1498, 293, 306, 1574, 489, 1765, 312, 17, 456, 598, 71, 542, 3231, 456, 772, 331, 637, 668, 4550, 17, 289, 19066, 424, 856, 2155, 15924, 505, 360, 575, 13578, 16667, 17, 368, 681, 864, 17, 20447, 424, 22064, 4612, 660, 293, 2138, 787, 19, 3380, 17, 266, 956, 598, 88, 1226, 452, 17, 289, 1108, 312, 1353, 1527, 368, 5098, 312, 363, 4455, 15287, 660, 273, 567, 1374, 17, 312, 363, 15924, 505, 374, 998, 360, 263, 21248, 19, 2172, 598, 73, 497, 891, 293, 306, 774, 357, 363, 354, 312, 1326, 357, 363, 537, 3398, 17, 441, 312, 3048, 601, 912, 793, 3687, 3145, 17, 343, 312, 363, 288, 266, 4866, 4501, 4382, 20447, 312, 825, 3484, 347, 749, 347, 312, 598, 321, 2464, 577, 19, 2024, 9352, 17, 9084, 598, 88, 358, 28698, 945, 17, 2823, 29412, 17, 577, 571, 1220, 835, 6805, 8016, 273, 341, 1425, 30935, 4508, 765, 1008, 398, 2150, 500, 339, 1437, 384, 14843, 654, 347, 1538, 347, 357, 2975, 791, 2039, 293, 266, 2354, 273, 384, 16033, 517, 8055, 289, 551, 1171, 2065, 354, 1940, 341, 363, 347, 791, 357, 1008, 398, 17, 343, 29412, 517, 2109, 475, 1906, 1365, 273, 5897, 17, 289, 1601, 821, 2707, 557, 602, 1437, 6117, 293, 12084, 266, 6205, 31295, 17, 441, 263, 278, 4280, 1092, 266, 396, 19749, 10499, 452, 461, 28647, 17, 374, 266, 732, 676, 339, 341, 7022, 925, 2316, 26511, 7907, 517, 945, 30363, 2703, 17, 289, 29412, 457, 3940, 2975, 347, 1005, 347, 598, 2762, 424, 413, 17, 22108, 17, 289, 1070, 598, 88, 598, 754, 594, 729, 363, 10004, 360, 27294, 265, 1601, 821, 517, 10165, 9554, 598, 13802, 7124, 17, 15107, 19, 16666, 16038, 807, 954, 29507, 490, 470, 1602, 426, 1353, 341, 36, 1162, 517, 6519, 7249, 265, 456, 4005, 18122, 541, 10572, 348, 6789, 2827, 19, 4670, 1615, 19, 770, 6730, 3133, 14875, 19, 29412, 517, 278, 1993, 6289, 734, 263, 19, 3213, 517, 3213, 517, 18, 16416, 734, 7636, 22479, 7907, 374, 7974, 23038, 734, 3100, 355, 6424, 12, 56, 28200, 490, 770, 598, 7341, 5124, 5469, 1492, 12, 490, 403, 7412, 4013, 770, 337, 9746, 490, 319, 26636, 1742, 10294, 1607, 490, 319, 31682, 2362, 21825, 2965, 422, 21107, 19, 6778, 1701, 2745, 614, 30366, 4005, 11006, 358, 1661, 490, 289, 263, 828, 1559, 1661, 341, 331, 490, 293, 981, 273, 266, 5926, 17, 289, 946, 1404, 500, 6651, 505, 266, 23358, 466, 396, 19749, 17, 994, 540, 1220, 2930, 273, 29412, 517, 4680, 293, 28216, 610, 551, 4455, 2434, 17, 774, 17, 347, 341, 331, 4204, 668, 360, 399, 4675, 17, 266, 7809, 17, 424, 2201, 398, 2596, 266, 6011, 273, 2334, 1415, 274, 347, 263, 6599, 343, 637, 10021, 19, 578, 331, 1847, 263, 3620, 912, 6738, 17, 350, 556, 436, 800, 95, 8253, 654, 289, 1838, 2462, 27700, 17, 556, 1564, 7095, 4569, 650, 266, 8867, 9519, 17, 289, 452, 556, 905, 314, 344, 299, 273, 4144, 810, 13937, 289, 22525, 17, 339, 293, 540, 2042, 1106, 278, 15324, 910, 1089, 266, 601, 14386, 273, 3213, 3065, 5402, 19, 531, 511, 8314, 5120, 266, 1776, 19685, 17, 360, 369, 424, 571, 2438, 266, 4455, 13472, 517, 3670, 17, 374, 1874, 288, 6714, 19, 397, 1802, 10584, 450, 7008, 340, 266, 13298, 10251, 28505, 2414, 17, 347, 641, 467, 457, 398, 1440, 496, 10499, 17, 289, 2148, 18007, 22049, 295, 4838, 17, 475, 441 ]

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

[ 4836, 3907, 354, 441, 340, 266, 29496, 17, 962, 339, 1365, 18, 24549, 3196, 17, 263, 1069, 7197, 4632, 650, 556, 2361, 17, 350, 263, 2470, 18, 6083, 344, 7205, 374, 339, 10405, 4229, 774, 266, 5349, 486, 25585, 551, 10717, 419, 265, 12120, 7215, 853, 340, 266, 995, 18, 16778, 3137, 339, 357, 331, 398, 4371, 2042, 293, 2384, 551, 15838, 17, 368, 4371, 7413, 293, 761, 384, 887, 1374, 17, 368, 575, 3359, 18886, 289, 2424, 1427, 81, 12116, 1649, 490, 263, 3683, 343, 266, 4576, 6907, 17, 424, 571, 1515, 574, 862, 427, 17, 339, 331, 557, 1330, 288, 2101, 273, 20055, 602, 288, 2298, 1073, 490, 1230, 340, 266, 3155, 263, 4961, 18, 5042, 13273, 85, 18, 9173, 13924, 273, 1720, 374, 575, 833, 4047, 2946, 5447, 598, 991, 263, 1029, 7324, 6565, 1972, 289, 13206, 17, 598, 7726, 5933, 17, 266, 515, 298, 3242, 23610, 650, 1714, 11043, 1972, 360, 358, 25896, 15811, 17, 470, 8631, 683, 288, 266, 5145, 263, 3280, 5766, 273, 6407, 289, 263, 7197, 3351, 273, 1386, 1512, 1758, 19, 8580, 413, 5525, 288, 511, 368, 667, 1330, 3196, 770, 6730, 3133, 14875, 19, 885, 21417, 17, 350, 263, 2853, 311, 3670, 339, 3329, 266, 11368, 288, 339, 19061, 1477, 864, 263, 2340, 354, 289, 6242, 5555, 17, 273, 266, 3795, 2614, 30273, 1038, 15703, 2411, 17, 777, 19303, 1720, 793, 819, 676, 266, 3539, 13924, 17, 288, 263, 1793, 273, 27351, 7907, 8037, 17, 369, 1372, 12997, 399, 4675, 293, 1990, 3114, 3325, 551, 29870, 273, 263, 951, 339, 331, 598, 452, 273, 263, 20080, 1425, 598, 1764, 619, 2235, 263, 18, 10342, 341, 490, 619, 577, 17, 348, 1848, 226, 89, 598, 798, 328, 771, 266, 1818, 345, 1169, 354, 289, 29412, 517, 2592, 5931, 75, 5228, 17, 266, 23303, 273, 551, 601, 1347, 17, 3329, 358, 7823, 6394, 17, 289, 309, 10971, 384, 5152, 288, 266, 4194, 4871, 273, 598, 355, 2491, 293, 266, 21640, 807, 598, 8633, 836, 18380, 288, 266, 2717, 273, 266, 1342, 1844, 19, 399, 4675, 331, 601, 11024, 17, 343, 729, 331, 7128, 29412, 517, 598, 1631, 293, 5930, 1972, 369, 1341, 339, 729, 331, 4569, 805, 266, 1493, 3213, 517, 8995, 30039, 350, 263, 1505, 293, 19877, 731, 5388, 289, 16812, 706, 5594, 293, 551, 887, 1582, 29458, 16106, 17, 289, 13913, 497, 4125, 273, 1938, 458, 960, 3913, 350, 29412, 517, 25297, 17, 28429, 3598, 17, 4589, 17, 289, 5800, 17, 360, 4801, 551, 3634, 17, 4194, 551, 3070, 17, 289, 788, 8081, 610, 551, 29295, 19, 2451, 17, 399, 4675, 457, 496, 350, 2316, 26511, 7907, 343, 817, 969, 17, 289, 363, 263, 706, 26639, 1410, 354, 448, 551, 9868, 16231, 289, 1353, 19, 16264, 17, 350, 452, 551, 7739, 281, 289, 12609, 17, 729, 363, 5717, 311, 3957, 293, 2823, 29412, 354, 289, 341, 331, 637, 3431, 5891, 339, 729, 6631, 551, 1493, 3213, 17, 288, 551, 1347, 273, 5285, 17, 1698, 602, 551, 519, 4205, 2506, 17, 551, 6982, 17, 368, 890, 263, 1137, 6985, 8779, 19440, 17, 1488, 31427, 2304, 289, 5999, 8299, 455, 457, 728, 497, 2187, 5705, 340, 551, 1111, 15428, 4589, 19, 598, 4835, 6576, 536, 384, 18104, 1972, 641, 357, 289, 729, 619, 668, 1265, 981, 532, 660, 374, 266, 1145, 9825, 2385, 354, 289, 2148, 266, 18104, 288, 1831, 19626, 293, 667, 18, 489, 18, 262, 8704, 17, 363, 360, 497, 1341, 9505, 288, 16106, 17, 289, 457, 11666, 4369, 17, 289, 263, 599, 482, 1736, 18, 7803, 3128, 17, 1101, 729, 363, 497, 4741, 293, 266, 2710, 1299, 273, 1455, 17, 369, 22352, 343, 819, 3194, 273, 637, 1696, 263, 16033, 273, 14078, 2252, 19, 1360, 263, 3213, 23866, 3913, 1887, 2219, 293, 266, 1477, 17, 3723, 2692, 4419, 4452, 17, 289, 985, 12536, 14104, 273, 1924, 21914, 263, 18, 2014, 17, 398, 293, 1860, 1559, 6982, 289, 3201, 441, 3744, 23991, 374, 12715, 1721, 17, 266, 16994, 331, 17, 339, 551, 2308, 544, 3840, 407, 266, 3308, 273, 681, 6013, 27302, 19, 1663, 4785, 1115, 10572, 348, 6789, 2827, 19, 273, 399, 4675, 517, 1814, 17, 266, 2870, 1683, 12618, 293, 266, 5482, 17, 289, 266, 1793, 3047, 8542, 505, 293, 681, 263, 10103, 339, 1561, 1932, 293, 2893, 266, 23957, 4910, 17, 1746, 24767, 14125, 2703, 289, 5013, 27699, 273, 7145, 650, 2187, 289, 1440, 16722, 5661, 19, 399, 4675, 597, 21734, 80, 347, 19711, 293, 15169, 263, 2933, 30153, 347, 2316, 26511, 7907, 597, 426, 1574, 293, 2361, 263, 24743, 8407, 354, 289, 358, 11379, 3096, 350, 584, 2776, 17, 890, 16102, 288, 266, 732, 1477, 17, 363, 6490, 293, 2599, 263, 757, 18403, 273, 5234, 289, 31533, 273, 5478, 17, 5063, 12019, 293, 731, 470, 413, 22623, 350, 266, 6000, 19069, 273, 263, 2298, 3213, 517, 18, 16416, 398, 340, 4026, 8620, 19, 531, 421, 10405, 2191, 17, 2316, 399, 4675, 17, 340, 266, 740, 3225, 273, 551, 5666, 374, 709, 318, 2604, 265, 517, 17, 598, 2975, 263, 4246, 1972, 347, 729, 4141, 341, 17, 369, 12833, 266, 1079, 18462, 273, 551, 701, 1073, 19, 953, 297, 1110, 407, 12866, 551, 3213, 17, 729, 424, 2025, 551, 1151, 17, 347, 2875, 17, 293, 598, 1364, 2434, 1972, 339, 6908, 377, 288, 369, 266, 905, 4423, 4562, 273, 3495, 331, 1005, 557, 10240, 311, 15611, 602, 505, 18, 24629, 17, 289, 293, 369, 598, 671, 1807, 289, 5147, 598, 597, 1265, 341, 1005, 557, 2510, 293, 2885, 266, 4039, 27, 74, 602, 610, 2859, 517, 3886, 368, 598, 16591, 315, 517, 12, 278, 1993, 6289, 19, 1361, 18356, 293, 959, 1561, 557, 10064, 602, 266, 441, 1950, 17, 399, 4675, 517, 7145, 619, 306, 557, 2957, 9321, 602, 2402, 17, 594, 340, 7155, 421, 28583, 11368, 17, 729, 790, 556, 668, 2241, 427, 263, 828, 450, 18, 11201, 17, 22834, 829, 18, 73, 1612, 1493, 491, 17, 598, 2782, 263, 3196, 273, 11685, 552, 289, 263, 28118, 1767, 20, 289, 2325, 1076, 601, 749, 374, 2340, 19, 319, 15708, 14125, 346, 289, 3063, 12657, 273, 7379, 759, 728, 341, 27003, 340, 266, 1069, 5666, 293, 7224, 1076, 17, 289, 360, 266, 676, 467, 457, 2975, 293, 598, 4538, 759, 807, 762, 577, 19678, 476, 17, 3504, 1972, 289, 598, 13490, 2823, 17, 312, 1253, 263, 2525, 6509, 654, 807, 598, 467, 2171, 601, 828, 2255, 17, 289, 266, 17833, 2343, 511, 363, 7721, 340, 293, 1558, 1110, 289, 17612, 273, 266, 10001, 1019, 7987, 15201, 3842, 360, 266, 441, 1950, 374, 384, 9868, 517, 5299, 19, 6985, 8779, 19440, 601, 1538, 5137, 266, 3213, 339, 598, 725, 363, 12538, 293, 263, 9063, 3437, 12, 419, 265, 2926, 1512, 358, 16951, 517, 10325, 853, 289, 457, 3009, 3399, 288, 293, 959, 641, 266, 1477, 363, 994, 17, 293, 2044, 384, 25606, 19, 598, 312, 596, 601, 9730, 17, 7077, 17, 293, 426, 496, 266, 1677, 273, 17734, 273, 577, 448, 17, 289, 312, 3425, 577, 770, 6730, 3133, 14875, 19, 1288, 544, 1362, 805, 341, 17, 289, 571, 1627, 497, 1309, 3308, 407, 266, 373, 460, 1336, 1425, 991, 369, 399, 4675, 17, 470, 363, 263, 3213, 273, 12374, 28299, 17, 347, 2171, 551, 4526, 17, 289, 17, 7493, 17, 749, 14707, 1745, 360, 266, 4408, 1146, 273, 266, 24442, 723, 3571, 598, 2823, 1972, 993, 390, 3341, 4028, 339, 17, 598, 6861, 17, 341, 457, 1140, 551, 1904, 263, 1536, 17, 441, 729, 825, 398, 5913, 263, 3096, 339, 457, 3490, 551, 293, 681, 263, 17723, 7442, 1425, 1142, 467, 14472, 350, 817, 598, 828, 23851, 1972, 289, 358, 12020, 4141, 2137, 339, 467, 694, 1808, 787, 19, 6985, 8779, 19440, 363, 263, 777, 1431, 273, 266, 740, 972, 17, 441, 398, 11811, 288, 26158, 759, 17, 293, 369, 384, 9063, 13436, 2739, 263, 1137, 2404, 273, 5835, 15106, 19, 620, 4973, 11607, 339, 266, 14647, 17, 2717, 18, 2321, 23139, 1289, 357, 457, 1278, 12925, 289, 448, 22047, 363, 2099, 358, 1106, 289, 9651, 5163, 273, 266, 2126, 374, 1006, 19, 743, 19, 370, 1079, 7710, 3399, 864, 692, 598, 791, 18, 285, 18, 5213, 1425, 370, 441, 1950, 9113, 660, 11685, 552, 347, 641, 341, 363, 976, 11974, 17, 289, 2099, 288, 681, 358, 5587, 266, 24896, 7809, 942, 426, 6747, 263, 4455, 3678, 273, 2441, 17, 293, 369, 17, 890, 2594, 24803, 350, 266, 3213, 288, 1831, 17, 6985, 8779, 19440, 597, 426, 457, 497, 11709, 6219, 19, 620, 363, 17, 347, 357, 781, 1076, 17, 598, 1564, 293, 263, 11358, 1972, 289, 692, 263, 20149, 17, 2094, 1282, 4861, 1307, 3537, 17, 350, 828, 4369, 289, 31041, 11814, 17, 1108, 357, 1066, 3399, 374, 577, 1654, 577, 457, 1574, 4569, 374, 503, 17, 357, 5503, 293, 2038, 8309, 16056, 293, 266, 1347, 273, 2316, 399, 4675, 19, 319, 5542, 19474, 331, 2902, 15428, 354, 289, 1108, 551, 8186, 413, 4204, 288, 29430, 29412, 517, 20662, 88, 17, 289, 598, 7128, 1718, 598, 551, 27102, 17, 14239, 17, 289, 905, 314, 344, 299, 17, 266, 1818, 345, 1169, 517, 4756, 413, 890, 772, 1005, 1718, 1738, 266, 8314, 17, 505, 667, 5329, 273, 14072, 17, 288, 266, 3106, 350, 6985, 8779, 19440, 19, 598, 4538, 759, 9154, 807, 2823, 315, 517, 5416, 807, 598, 15610, 88, 399, 4675, 17, 350, 263, 4246, 17, 347, 641, 729, 457, 398, 3855, 339, 16550, 374, 556, 2875, 676, 490, 4134, 561, 594, 2316, 26511, 7907, 1566, 288, 293, 12875, 551, 8984, 794, 7974, 23038, 490, 289, 729, 7006, 1110, 17, 2419, 9065, 1036, 347, 641, 266, 1477, 475, 340, 2274, 19, 5318, 424, 806, 398, 6038, 293, 959, 29412, 1220, 551, 28161, 836, 289, 4849, 731, 20052, 5563, 5364, 17, 424, 571, 776, 289, 7061, 343, 551, 288, 266, 7974, 23038, 18, 5042, 17, 293, 369, 1331, 10572, 348, 6789, 2827, 19, 729, 331, 1538, 2247, 478, 9260, 1407, 24515, 1110, 17, 350, 890, 20025, 2109, 602, 2875, 17, 1940, 407, 266, 8701, 273, 3096, 27294, 265, 2256, 517, 2139, 17, 614, 30366, 4005, 17, 1289, 270, 311, 29412, 5791, 441, 601, 912, 17, 289, 350, 1289, 729, 331, 4665, 4440, 4359, 1336, 17, 5792, 266, 23368, 273, 384, 1578, 17, 289, 266, 25805, 17, 1585, 27688, 5702, 288, 369, 357, 1465, 16378, 266, 1493, 5933, 19, 598, 29412, 17, 426, 577, 7584, 348, 1848, 814, 289, 7773, 835, 5555, 814, 289, 1143, 835, 2353, 320, 15178, 694, 1066, 6845, 2353, 19, 741, 3399, 343, 266, 1103, 273, 339, 24017, 17, 3361, 424, 1326, 273, 341, 320, 289, 856, 312, 1243, 577, 575, 31431, 15735, 781, 2316, 26511, 7907, 17, 878, 8555, 343, 358, 2795, 347, 729, 4179, 1110, 293, 263, 601, 11217, 29380, 793, 954, 267, 12, 5282, 288, 266, 8089, 17, 369, 729, 1116, 7974, 23038, 17, 441, 369, 363, 360, 497, 1341, 263, 2686, 11446, 273, 263, 828, 5940, 19, 598, 7133, 17, 2997, 22108, 1972, 781, 29412, 32, 598, 4188, 1234, 17, 341, 517, 1111, 3201, 343, 15015, 354, 441, 2150, 476, 17, 22108, 17, 767, 1008, 614, 30366, 4005, 1960, 793, 263, 1407, 16416, 17, 594, 357, 19022, 293, 456, 27294, 265, 1601, 821, 949, 289, 1601, 821, 14631, 320, 598, 598, 319, 1407, 16416, 17, 29412, 320, 680, 837, 807, 22302, 354, 537, 598, 88, 497, 681, 2718, 19, 801, 339, 23839, 476, 490, 3641, 2235, 6102, 293, 1362, 805, 339, 2710, 1770, 273, 25260, 25938, 517, 354, 9696, 694, 1465, 306, 456, 505, 456, 288, 3605, 6714, 19, 2735, 577, 761, 17, 29412, 17, 312, 3641, 2235, 1904, 864, 614, 30366, 4005, 1425, 598, 409, 22108, 1972, 781, 29412, 17, 598, 681, 263, 2139, 273, 1601, 821, 517, 490, 312, 6786, 2585, 424, 2314, 293, 864, 503, 32, 289, 312, 6786, 2585, 357, 25297, 540, 32, 767, 263, 1151, 357, 1566, 1110, 925, 339, 17626, 396, 19749, 293, 3228, 577, 660, 273, 266, 5838, 354, 289, 1008, 577, 959, 17, 22108, 17, 767, 10276, 2942, 18689, 357, 457, 340, 19, 312, 1326, 312, 694, 864, 503, 601, 749, 641, 424, 3048, 503, 1698, 19, 2152, 448, 749, 347, 456, 40, 423, 265, 1601, 821, 949, 598, 2739, 266, 1493, 5933, 17, 8585, 2282, 17, 598, 368, 2997, 23303, 30935, 4508, 765, 19, 2024, 2633, 8266, 341, 363, 594, 384, 18115, 2039, 1110, 17, 22108, 19, 7578, 577, 2663 ]

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

[ 339, 4560, 36, 801, 312, 596, 2585, 614, 30366, 4005, 331, 601, 828, 18, 24108, 1425, 598, 15926, 23839, 476, 17, 567, 2997, 1972, 781, 2316, 26511, 7907, 17, 470, 363, 6675, 1582, 27677, 1843, 266, 973, 273, 266, 31431, 354, 598, 312, 555, 2137, 339, 4530, 536, 398, 3559, 293, 6487, 74, 354, 312, 596, 1465, 7669, 770, 6730, 3133, 14875, 19, 1387, 793, 972, 19, 29412, 17, 1217, 476, 266, 11685, 552, 354, 289, 567, 2997, 17, 312, 806, 1193, 575, 2505, 22804, 18634, 343, 577, 490, 577, 413, 601, 3898, 288, 421, 3201, 4172, 354, 441, 312, 596, 1465, 16890, 2265, 617, 793, 1601, 821, 594, 357, 331, 21453, 1425, 1937, 266, 5703, 5641, 1226, 17, 424, 571, 4634, 339, 2316, 26511, 7907, 17, 470, 17, 347, 424, 426, 781, 17, 363, 6117, 293, 306, 5542, 17, 363, 5078, 5594, 448, 650, 511, 368, 667, 2269, 2943, 19, 531, 266, 740, 951, 17, 350, 452, 263, 2511, 517, 6032, 288, 551, 3071, 517, 3785, 17, 729, 825, 398, 306, 6027, 293, 266, 1196, 7973, 5983, 6381, 17, 1074, 825, 729, 1284, 410, 3913, 273, 1137, 1530, 76, 420, 654, 339, 29412, 597, 398, 785, 1258, 293, 306, 266, 1268, 778, 273, 551, 8055, 3026, 17, 441, 339, 17, 293, 1146, 551, 887, 4244, 17, 729, 363, 598, 2585, 293, 306, 14284, 3184, 505, 794, 729, 363, 1106, 2414, 293, 761, 551, 887, 1374, 1425, 370, 2819, 363, 17, 339, 2316, 26511, 7907, 749, 1530, 359, 4838, 452, 551, 4576, 7442, 708, 266, 1947, 273, 1106, 18, 30589, 18, 3026, 490, 263, 1638, 273, 1073, 369, 17, 288, 658, 1476, 273, 598, 20020, 1493, 18, 11201, 920, 1972, 2001, 14602, 311, 28670, 354, 289, 4203, 819, 791, 18, 73, 1612, 17, 791, 18, 25576, 1307, 25898, 279, 347, 263, 2167, 653, 334, 344, 273, 551, 15942, 17, 289, 263, 4355, 8945, 293, 598, 27294, 265, 1601, 821, 12, 729, 2413, 503, 374, 6850, 17, 5566, 17, 350, 263, 23777, 289, 11032, 1904, 3206, 293, 551, 887, 14731, 289, 5918, 1183, 1455, 19, 6519, 30366, 4005, 729, 825, 398, 17064, 17, 555, 767, 729, 597, 19, 741, 424, 413, 3061, 293, 5173, 339, 729, 363, 1122, 14916, 288, 551, 11392, 273, 339, 3437, 602, 273, 584, 532, 4576, 16855, 470, 2388, 288, 266, 701, 2254, 662, 374, 7133, 19, 743, 17, 293, 2516, 263, 976, 3678, 273, 25860, 13388, 10986, 17, 350, 294, 265, 686, 28929, 343, 384, 4780, 407, 263, 2427, 3791, 17, 368, 293, 4434, 5483, 1081, 11589, 871, 10913, 8561, 1230, 357, 4849, 279, 384, 5051, 340, 384, 7089, 18, 88, 13488, 321, 17, 289, 30075, 1280, 289, 24105, 374, 266, 14857, 340, 266, 14888, 18, 13029, 17, 343, 266, 7070, 2385, 374, 369, 17, 350, 1330, 28225, 17, 357, 942, 1220, 384, 7762, 19, 2667, 266, 6183, 289, 2960, 759, 273, 29412, 517, 1347, 363, 2996, 557, 263, 1351, 273, 8265, 602, 339, 273, 1601, 821, 517, 1337, 354, 289, 266, 4530, 2779, 293, 1220, 263, 8354, 30164, 3669, 288, 9105, 1076, 5317, 288, 10283, 273, 25000, 11579, 11506, 19, 2334, 463, 289, 995, 18, 88, 2918, 935, 17, 357, 363, 19258, 22703, 28419, 2450, 17, 15521, 350, 5088, 7943, 17, 12944, 3235, 373, 1748, 17, 805, 23, 78, 10572, 348, 6789, 2827, 19, 11927, 1076, 288, 5444, 963, 1092, 676, 17, 289, 17, 2955, 8265, 273, 452, 17, 14288, 22664, 31147, 490, 266, 2709, 2336, 273, 384, 19960, 4379, 490, 660, 273, 384, 5721, 17, 347, 384, 15107, 2222, 350, 29284, 17, 369, 475, 8114, 8841, 8446, 530, 347, 5370, 19669, 273, 6011, 19, 620, 363, 772, 3559, 836, 340, 358, 6549, 350, 384, 2139, 289, 17052, 17, 30366, 4005, 354, 441, 791, 1008, 2316, 26511, 7907, 761, 339, 21573, 3908, 17, 4972, 18, 11201, 2138, 597, 306, 358, 19848, 13489, 17, 289, 339, 551, 11454, 597, 598, 21336, 288, 1972, 347, 357, 1116, 341, 17, 293, 263, 3902, 9047, 17, 266, 6345, 357, 2975, 1718, 407, 266, 515, 1693, 14892, 273, 266, 1542, 19, 598, 531, 266, 15832, 1972, 1353, 729, 17, 598, 341, 598, 88, 263, 5402, 293, 426, 29412, 4314, 374, 551, 8796, 354, 537, 331, 1561, 864, 8860, 343, 266, 1374, 293, 1962, 10988, 21606, 660, 273, 263, 1493, 5933, 517, 1154, 32, 448, 2345, 835, 3634, 1110, 1070, 17, 567, 1658, 17, 598, 729, 2739, 17, 16701, 17, 598, 289, 701, 424, 426, 1143, 266, 998, 970, 273, 456, 3864, 13736, 408, 949, 577, 619, 15078, 835, 5555, 17, 1230, 312, 1454, 2578, 263, 912, 340, 266, 29496, 1425, 1663, 452, 556, 14399, 17, 598, 3864, 13736, 408, 598, 331, 263, 961, 273, 369, 263, 1156, 6017, 776, 263, 785, 1151, 17, 594, 7928, 610, 461, 887, 21979, 26658, 360, 667, 5926, 470, 426, 441, 263, 2187, 7442, 350, 266, 2825, 2907, 354, 289, 29412, 1538, 14109, 273, 266, 25060, 5243, 18, 1625, 517, 557, 602, 2951, 733, 3919, 17, 289, 266, 316, 11407, 1248, 11880, 350, 369, 341, 331, 4141, 354, 448, 729, 6484, 22108, 517, 29496, 293, 266, 1564, 6177, 17, 6507, 266, 3539, 293, 1962, 551, 660, 273, 266, 10350, 17, 289, 4179, 1110, 293, 551, 30273, 1038, 15703, 350, 358, 2390, 598, 4538, 1761, 17, 10356, 94, 354, 577, 5900, 2235, 2663, 584, 273, 567, 19144, 17, 448, 312, 856, 2980, 567, 13380, 805, 347, 3809, 347, 1280, 312, 619, 1425, 10738, 414, 1718, 17, 6205, 2316, 26511, 7907, 17, 288, 266, 3874, 7750, 339, 577, 426, 1140, 835, 3071, 7791, 8860, 273, 1374, 17, 293, 1080, 1561, 273, 8186, 17, 288, 266, 5226, 273, 731, 1956, 18, 11201, 6017, 17, 448, 10470, 293, 266, 2295, 289, 1001, 9785, 293, 266, 903, 19, 10738, 414, 1718, 17, 289, 2051, 339, 551, 4756, 289, 6434, 413, 347, 749, 708, 521, 12, 401, 7789, 347, 551, 912, 1337, 1446, 293, 306, 17, 594, 577, 1291, 551, 293, 2845, 350, 835, 887, 1804, 17, 289, 729, 781, 551, 9354, 7668, 340, 835, 9835, 19, 1142, 577, 452, 1326, 273, 835, 2065, 354, 448, 577, 452, 16626, 13461, 17, 289, 413, 5074, 8042, 594, 3393, 273, 11414, 8126, 368, 1085, 607, 8121, 6730, 3133, 14875, 19, 1539, 71, 26508, 1227, 288, 835, 887, 5802, 17, 1108, 577, 426, 785, 19418, 835, 9324, 339, 598, 6846, 544, 306, 6846, 1972, 368, 598, 9696, 413, 1465, 1353, 1178, 1972, 594, 467, 426, 10061, 293, 577, 273, 461, 7867, 296, 10735, 1019, 289, 13668, 88, 19, 2324, 1326, 577, 761, 835, 2065, 734, 577, 17, 470, 619, 2597, 306, 781, 293, 761, 6502, 19, 370, 3457, 4530, 374, 835, 1286, 17, 470, 6377, 577, 360, 266, 3011, 1778, 14895, 273, 598, 266, 7023, 1972, 577, 27224, 7105, 357, 331, 10373, 288, 731, 1758, 273, 5463, 531, 369, 577, 413, 9395, 1110, 5979, 343, 384, 3220, 1073, 273, 381, 643, 1809, 17, 19268, 17, 289, 4888, 19, 2152, 263, 3678, 273, 341, 19, 620, 331, 6707, 273, 384, 284, 1875, 289, 384, 14173, 374, 266, 2195, 18, 1119, 484, 17, 369, 544, 1077, 263, 5561, 9006, 288, 266, 5144, 577, 544, 2099, 919, 293, 503, 340, 384, 1399, 293, 614, 22056, 517, 19, 2324, 7560, 288, 791, 18, 329, 5265, 2907, 266, 21967, 273, 263, 598, 3436, 18, 489, 87, 2549, 1305, 598, 4628, 293, 835, 7801, 3071, 17, 263, 11899, 5933, 17, 1488, 2343, 17, 1564, 11043, 577, 1326, 597, 791, 1849, 263, 9592, 351, 17, 289, 729, 2001, 293, 10918, 350, 452, 2200, 293, 835, 24353, 17, 289, 293, 3394, 23308, 350, 598, 2997, 22627, 1972, 288, 12660, 12455, 17, 289, 358, 29870, 273, 767, 577, 891, 598, 25868, 3778, 273, 920, 1425, 1360, 551, 2511, 17, 350, 27677, 6445, 289, 10557, 17086, 17, 24662, 577, 293, 1362, 343, 551, 293, 18, 2873, 1007, 266, 14200, 8494, 17, 1481, 293, 511, 441, 577, 1265, 551, 288, 266, 6982, 18, 5042, 350, 3287, 1524, 1332, 17, 598, 339, 19433, 491, 878, 263, 25643, 1972, 347, 835, 16671, 580, 936, 844, 15201, 11356, 824, 503, 19, 741, 1101, 17, 347, 1357, 701, 1357, 21847, 556, 1916, 18, 75, 818, 1260, 327, 10365, 17, 289, 12070, 2307, 266, 10411, 273, 266, 7867, 296, 7946, 17, 577, 776, 340, 916, 4078, 297, 339, 266, 1851, 17, 289, 1135, 266, 1851, 17, 544, 1077, 13115, 839, 293, 577, 343, 452, 266, 1511, 5426, 654, 273, 556, 5065, 16154, 17, 1654, 266, 14998, 490, 266, 14332, 734, 266, 23303, 273, 835, 1106, 1947, 490, 266, 11859, 339, 363, 17, 1847, 17, 293, 306, 835, 598, 1342, 3200, 598, 490, 3480, 6719, 701, 266, 1454, 17, 289, 577, 1627, 263, 18800, 12487, 374, 835, 1347, 17, 289, 263, 5206, 17, 5561, 7750, 339, 266, 1498, 289, 280, 7059, 410, 6434, 273, 358, 11709, 1455, 413, 14525, 343, 556, 5474, 490, 339, 537, 806, 306, 2922, 1698, 293, 1340, 594, 6024, 1070, 8589, 293, 1347, 18, 9593, 289, 13909, 19, 801, 29412, 544, 398, 1326, 448, 343, 817, 263, 785, 945, 1101, 19, 5318, 266, 1093, 7085, 289, 4552, 29141, 1483, 289, 757, 1994, 289, 26132, 1056, 475, 4370, 505, 288, 20120, 15790, 1384, 7419, 17, 398, 263, 18861, 273, 675, 70, 3859, 10572, 348, 6789, 2827, 19, 2794, 474, 8029, 339, 2931, 17, 1564, 11043, 19, 29412, 517, 887, 4756, 475, 263, 4983, 15373, 343, 452, 266, 1372, 28174, 339, 266, 10584, 410, 3536, 273, 1838, 3997, 18, 983, 4266, 1608, 17, 368, 8226, 5555, 17, 825, 24114, 19, 578, 331, 647, 70, 6920, 2719, 637, 3404, 293, 3438, 266, 13548, 5575, 289, 8588, 94, 12924, 339, 29712, 981, 532, 925, 339, 22145, 912, 1154, 354, 1074, 426, 424, 584, 2959, 293, 5751, 19, 319, 1493, 5933, 517, 4551, 331, 263, 4229, 273, 7644, 17, 878, 26325, 2878, 17, 2099, 878, 749, 1649, 17, 441, 7644, 5792, 19, 6173, 266, 1432, 536, 2555, 556, 13878, 273, 15384, 17, 339, 13878, 369, 331, 864, 266, 11051, 339, 19598, 818, 266, 2109, 273, 461, 9331, 12222, 17, 289, 728, 266, 2343, 440, 12, 8537, 88, 289, 24443, 2280, 289, 19941, 2330, 1651, 1362, 864, 7178, 8253, 654, 17, 289, 28584, 884, 17, 289, 17124, 17, 289, 2503, 490, 794, 1073, 536, 6554, 1718, 749, 293, 5913, 17, 289, 2405, 1633, 749, 293, 8598, 273, 490, 794, 266, 3040, 536, 496, 18137, 279, 369, 1135, 21206, 407, 266, 17654, 273, 20197, 273, 4538, 289, 31526, 17, 537, 331, 263, 7338, 3315, 288, 266, 1927, 970, 273, 6707, 354, 289, 339, 8199, 13937, 29412, 7567, 293, 266, 6303, 17, 3361, 551, 8186, 475, 478, 9260, 805, 266, 30273, 1038, 15703, 19521, 17, 289, 2316, 26511, 7907, 363, 4414, 29282, 28505, 340, 266, 29496, 19, 2451, 17, 6519, 30366, 4005, 363, 11705, 6136, 289, 27636, 13986, 350, 598, 27294, 265, 1601, 821, 1972, 470, 17, 864, 452, 6846, 17, 457, 7042, 358, 8955, 263, 1156, 969, 8830, 602, 1076, 17, 289, 9462, 503, 350, 731, 16722, 13360, 369, 4318, 11220, 5092, 293, 8900, 263, 5349, 19, 6519, 363, 263, 1121, 3437, 17, 288, 3573, 273, 384, 2992, 374, 266, 2093, 1947, 273, 1924, 18, 489, 18, 24853, 17, 289, 17, 2002, 293, 2150, 17, 2895, 6071, 73, 350, 384, 2328, 19, 1155, 424, 475, 293, 7560, 503, 17, 424, 694, 1080, 357, 363, 598, 263, 491, 273, 1897, 598, 1582, 602, 598, 263, 491, 273, 3591, 1972, 368, 598, 263, 491, 273, 2959, 1972, 368, 598, 263, 491, 273, 22525, 1972, 368, 598, 263, 491, 273, 3315, 1972, 368, 263, 491, 273, 3687, 3145, 19, 620, 3399, 16671, 1111, 17, 289, 9616, 17, 350, 384, 3190, 5347, 16106, 17, 384, 1564, 10603, 17, 2046, 20196, 2287, 17, 289, 1511, 11375, 7907, 4397, 289, 25576, 417, 19, 5797, 357, 496, 266, 1874, 1770, 273, 263, 27186, 21147, 288, 4251, 368, 1578, 17, 266, 5926, 597, 426, 15076, 503, 601, 5955, 354, 441, 357, 363, 2926, 293, 9711, 288, 384, 27264, 17, 289, 1582, 12223, 288, 384, 4406, 17, 448, 467, 20929, 503, 3544, 1474, 17, 441, 475, 601, 3297, 293, 503, 5792, 19, 370, 920, 17, 2884, 266, 770, 6730, 3133, 14875, 19, 1499, 31380, 3737, 17, 470, 413, 1465, 3124, 350, 461, 16026, 289, 4714, 17, 8247, 339, 357, 598, 3399, 263, 828, 511, 452, 805, 20, 26198, 17, 347, 424, 2987, 266, 9275, 17, 398, 448, 749, 293, 384, 4769 ]

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

[ 347, 384, 29395, 3404, 17, 289, 1125, 3516, 273, 21209, 13423, 19, 987, 413, 398, 448, 1005, 2947, 407, 263, 1063, 273, 7468, 1608, 288, 266, 919, 945, 347, 424, 413, 21805, 293, 302, 827, 4352, 19, 1360, 1493, 1442, 2127, 1116, 266, 21877, 1106, 10109, 598, 384, 8641, 6161, 362, 1972, 339, 3775, 1347, 363, 3957, 293, 3207, 28856, 343, 384, 7622, 5935, 17, 289, 6062, 288, 31147, 273, 2921, 289, 5834, 273, 2582, 17, 398, 343, 266, 18372, 517, 5463, 17, 369, 363, 7608, 17, 368, 384, 18839, 17, 369, 363, 2640, 8455, 32, 289, 448, 3544, 584, 22566, 273, 1493, 4733, 772, 288, 266, 25913, 3107, 17, 266, 4431, 369, 22934, 706, 7973, 2001, 293, 306, 263, 1137, 6888, 273, 7418, 289, 6567, 19021, 17, 369, 467, 891, 17563, 19, 598, 6963, 416, 2307, 288, 676, 343, 27399, 529, 490, 598, 3932, 12722, 17, 357, 14927, 1171, 15886, 273, 4126, 1107, 17, 289, 1066, 2039, 293, 2845, 490, 357, 598, 88, 263, 378, 10095, 1733, 3537, 17, 388, 2307, 598, 419, 2547, 406, 1577, 1013, 598, 6963, 3287, 5758, 1571, 9673, 594, 357, 226, 89, 21963, 805, 339, 6810, 289, 7022, 384, 2764, 517, 4277, 320, 598, 490, 598, 355, 12561, 814, 398, 357, 354, 577, 5900, 2235, 1440, 959, 503, 9673, 490, 537, 413, 398, 817, 11850, 448, 1733, 347, 5758, 1571, 598, 419, 30318, 16236, 14, 354, 289, 1278, 341, 2001, 339, 266, 4551, 331, 3420, 11649, 1643, 293, 556, 7383, 17, 398, 273, 9607, 17, 441, 273, 25370, 661, 490, 289, 266, 1154, 668, 3047, 266, 18529, 2169, 273, 266, 2125, 5935, 594, 341, 571, 306, 5381, 340, 350, 22567, 19, 12895, 658, 598, 5846, 2118, 598, 4733, 273, 263, 598, 11973, 2764, 1972, 289, 819, 903, 331, 5781, 288, 25533, 2200, 490, 4360, 293, 500, 273, 263, 11973, 491, 17, 461, 9719, 413, 7614, 288, 8203, 490, 273, 263, 11973, 2853, 17, 461, 13478, 413, 3191, 1110, 288, 13668, 19, 801, 6519, 30366, 4005, 363, 17, 293, 1146, 461, 6136, 1104, 17, 598, 263, 606, 6189, 598, 3544, 452, 266, 19371, 273, 384, 1947, 289, 4598, 19, 9251, 289, 6922, 17, 350, 12676, 17, 6333, 17, 289, 4406, 17, 357, 825, 3171, 17, 2320, 17, 20873, 17, 10941, 17, 19704, 17, 2980, 1496, 22492, 17, 7516, 17, 289, 13285, 350, 266, 1498, 273, 500, 17, 289, 467, 1066, 9852, 339, 421, 4312, 5935, 3569, 263, 1374, 4374, 289, 16671, 347, 266, 23480, 351, 288, 369, 341, 363, 8989, 19, 6519, 363, 263, 791, 18, 265, 10232, 17, 791, 647, 5344, 3113, 491, 32, 490, 6631, 21997, 17, 22138, 17, 289, 681, 1559, 8199, 2789, 490, 7567, 4834, 660, 263, 1552, 368, 11543, 17, 368, 3590, 22147, 384, 1471, 10572, 348, 6789, 2827, 19, 4312, 1374, 17, 289, 597, 776, 293, 358, 2598, 790, 87, 98, 8736, 368, 293, 959, 263, 3231, 3653, 17, 368, 890, 293, 266, 6933, 390, 6640, 298, 17, 343, 729, 268, 12333, 19, 5797, 357, 496, 3500, 293, 961, 343, 384, 2933, 22469, 17, 357, 597, 426, 728, 263, 3735, 15162, 354, 347, 341, 363, 17, 357, 2314, 293, 426, 496, 288, 266, 13027, 17, 368, 266, 10922, 17, 368, 3687, 441, 358, 9867, 491, 17, 2881, 374, 384, 887, 951, 288, 266, 1121, 19, 620, 457, 497, 5128, 17, 4665, 1561, 293, 1962, 503, 374, 2340, 354, 1233, 781, 339, 594, 2271, 357, 457, 497, 3435, 5940, 18, 25163, 490, 263, 19541, 2405, 288, 637, 3522, 359, 274, 15113, 1947, 525, 357, 363, 1111, 16671, 293, 1461, 601, 749, 343, 23799, 17, 2148, 357, 1008, 8312, 1137, 6431, 273, 384, 887, 1257, 354, 289, 1111, 4412, 293, 306, 19443, 793, 2778, 3741, 1886, 17, 1108, 357, 363, 263, 828, 6481, 17, 289, 11272, 1245, 791, 293, 19302, 19, 1132, 28569, 17, 6519, 363, 660, 273, 384, 951, 288, 266, 1432, 354, 289, 17, 398, 1021, 3638, 374, 339, 1947, 594, 17, 641, 263, 491, 3641, 2235, 2454, 384, 18462, 17, 357, 3329, 384, 18462, 2454, 503, 17, 363, 288, 3542, 273, 5594, 6071, 73, 289, 10556, 17, 289, 263, 7830, 4854, 273, 3495, 19, 22346, 829, 17, 27294, 265, 1601, 821, 517, 3332, 19751, 17, 614, 1006, 6387, 722, 17, 2054, 384, 5278, 1949, 293, 30366, 4005, 3469, 17, 289, 2516, 293, 1509, 805, 1137, 6018, 31033, 4640, 692, 2685, 343, 289, 4671, 17, 358, 6402, 1715, 951, 1007, 266, 27182, 289, 266, 14401, 517, 15783, 8941, 17, 369, 5112, 505, 358, 4528, 11098, 273, 2858, 268, 289, 4050, 19, 1006, 667, 1233, 825, 791, 306, 557, 1441, 288, 5800, 289, 2304, 602, 475, 6519, 289, 1601, 821, 19, 370, 491, 490, 1559, 17, 4099, 412, 17, 4412, 17, 4690, 17, 289, 20196, 354, 266, 4530, 490, 1319, 17, 4419, 17, 3201, 18, 12344, 17, 289, 15045, 17, 16965, 297, 293, 10045, 17, 26488, 293, 9607, 289, 9679, 17, 6760, 340, 647, 1364, 11395, 273, 266, 2385, 17, 289, 7510, 6675, 610, 13273, 4934, 17, 369, 384, 2139, 347, 7510, 457, 293, 2155, 503, 660, 273, 19, 3942, 701, 467, 457, 1563, 981, 532, 263, 1156, 2453, 467, 2171, 25764, 19, 1601, 821, 2039, 8815, 17, 701, 384, 8796, 374, 266, 21212, 17, 293, 862, 266, 1454, 273, 266, 945, 374, 266, 5584, 354, 289, 6519, 790, 263, 9699, 3315, 288, 628, 1036, 17, 1496, 22492, 17, 12315, 17, 15521, 17, 289, 890, 13578, 17, 407, 266, 11146, 10099, 350, 369, 266, 598, 94, 1371, 511, 12, 3330, 650, 658, 6067, 524, 19, 908, 343, 266, 598, 1493, 511, 598, 1076, 17, 357, 1353, 537, 363, 1561, 288, 266, 1432, 2407, 293, 30366, 4005, 490, 448, 1559, 17, 448, 18137, 94, 17, 448, 791, 18, 1919, 17, 448, 11458, 7147, 17, 24888, 42, 6730, 3133, 14875, 19, 1516, 350, 681, 7220, 1178, 13237, 17, 289, 681, 263, 828, 4694, 650, 263, 2764, 17, 357, 363, 266, 4530, 517, 5349, 419, 2330, 426, 452, 457, 681, 288, 637, 945, 853, 289, 357, 18775, 503, 5566, 19, 1142, 1309, 825, 357, 2834, 293, 6190, 3239, 273, 384, 5936, 697, 17, 890, 1317, 266, 2183, 1119, 5857, 2475, 273, 266, 6325, 367, 17, 339, 357, 457, 14938, 30366, 4005, 293, 1340, 805, 293, 709, 318, 2604, 265, 517, 17, 497, 601, 606, 2605, 407, 384, 887, 951, 17, 289, 457, 6413, 293, 9988, 503, 293, 266, 598, 30705, 26511, 7907, 1972, 289, 598, 29412, 1972, 273, 1289, 357, 457, 2247, 448, 749, 288, 266, 7706, 273, 461, 21858, 598, 360, 2359, 351, 289, 360, 4922, 1425, 370, 5440, 363, 728, 289, 2413, 490, 289, 6519, 363, 2881, 374, 266, 25696, 14720, 17, 27993, 266, 13346, 360, 266, 9711, 273, 384, 5157, 17, 289, 266, 2439, 2724, 360, 384, 27826, 347, 4203, 5940, 17, 3361, 357, 363, 5430, 945, 360, 945, 288, 266, 828, 17293, 890, 273, 2316, 26511, 7907, 17, 289, 6093, 17, 347, 357, 1076, 1353, 350, 606, 31559, 17, 263, 4496, 3159, 273, 2960, 5878, 288, 266, 3289, 17, 27423, 23351, 1374, 273, 29412, 19, 598, 5149, 10683, 6683, 452, 266, 1698, 343, 402, 418, 25799, 17, 1601, 821, 1972, 781, 30366, 4005, 293, 384, 1493, 8139, 17, 347, 467, 293, 2319, 6651, 2456, 266, 1028, 3298, 27399, 17, 774, 819, 2183, 30927, 363, 21683, 279, 350, 1481, 10718, 1120, 407, 29377, 3295, 289, 263, 18657, 5591, 18675, 19, 598, 578, 2135, 600, 266, 1793, 1159, 347, 828, 1154, 18, 5502, 2135, 600, 266, 5478, 19, 12440, 3641, 2235, 5249, 1437, 2414, 17, 312, 1326, 490, 890, 3312, 2314, 293, 426, 2960, 5025, 288, 2960, 3489, 354, 289, 1362, 767, 25903, 17, 498, 26399, 17, 31084, 332, 30269, 1437, 273, 500, 413, 490, 398, 864, 835, 15107, 19, 2451, 339, 598, 88, 767, 312, 891, 263, 9616, 2853, 17, 1601, 821, 354, 729, 598, 73, 555, 288, 266, 8972, 368, 18111, 490, 729, 598, 88, 2454, 293, 306, 263, 5006, 17, 567, 4530, 17, 1606, 729, 598, 88, 2975, 575, 6551, 793, 551, 19, 908, 343, 577, 17, 1493, 3437, 17, 577, 961, 1733, 2414, 660, 18, 1038, 18, 5213, 910, 17, 441, 577, 6845, 835, 22133, 4049, 490, 312, 3641, 2235, 2051, 772, 339, 577, 426, 3907, 263, 1776, 1712, 577, 1314, 1006, 6387, 722, 517, 1425, 598, 15590, 481, 787, 17, 6519, 17, 347, 2875, 1972, 4028, 1601, 821, 354, 598, 312, 1143, 343, 358, 2653, 421, 601, 2427, 17, 3361, 312, 363, 12866, 354, 312, 596, 601, 5995, 273, 4801, 594, 341, 598, 88, 398, 2758, 1425, 598, 741, 571, 312, 2212, 767, 835, 2093, 8796, 475, 17, 567, 16717, 1493, 11789, 22, 15735, 598, 456, 2573, 1750, 456, 289, 456, 370, 23585, 273, 319, 1502, 73, 408, 7, 490, 360, 19560, 17, 1106, 3537, 17, 341, 598, 88, 2710, 1425, 1352, 10572, 348, 6789, 2827, 19, 6519, 728, 263, 2361, 347, 641, 2172, 457, 16849, 263, 6010, 19, 598, 456, 53, 8321, 1750, 7, 289, 456, 2273, 23585, 273, 319, 1502, 73, 408, 949, 598, 357, 3993, 17, 350, 8036, 13668, 32, 598, 263, 4530, 273, 8835, 490, 312, 1253, 835, 7663, 490, 263, 1493, 491, 273, 835, 1947, 4801, 15385, 354, 3243, 17, 577, 598, 2071, 8622, 374, 263, 1063, 273, 6100, 16463, 1545, 16407, 794, 577, 413, 2145, 17, 2884, 641, 577, 9144, 749, 374, 266, 732, 676, 19, 312, 26517, 352, 577, 413, 456, 505, 456, 288, 456, 3864, 17738, 456, 347, 791, 490, 398, 339, 312, 1326, 357, 331, 1437, 448, 2686, 343, 577, 354, 441, 497, 491, 694, 1143, 8936, 288, 681, 358, 452, 1040, 23846, 347, 15385, 8754, 341, 17, 1654, 384, 1347, 331, 18971, 289, 384, 25576, 417, 5546, 19, 1743, 7644, 17, 293, 567, 1374, 17, 536, 263, 5515, 293, 1077, 577, 557, 368, 1122, 533, 1078, 10358, 19, 2324, 694, 1143, 12105, 17, 567, 4530, 17, 289, 21913, 17, 289, 828, 2960, 9607, 14415, 32, 441, 641, 577, 806, 426, 2101, 273, 7624, 17, 1220, 293, 10899, 1425, 598, 355, 412, 12120, 7215, 1972, 6406, 1601, 821, 17, 470, 848, 901, 490, 288, 369, 10569, 424, 1363, 3228, 9782, 3076, 263, 912, 490, 339, 7644, 331, 1561, 878, 521, 19749, 354, 598, 312, 619, 2235, 1143, 954, 6017, 273, 456, 16615, 24757, 756, 598, 598, 11720, 835, 4551, 331, 20412, 343, 1922, 273, 1310, 10681, 1972, 10004, 30366, 4005, 354, 598, 641, 577, 776, 340, 864, 421, 17, 577, 598, 2071, 601, 1538, 446, 1078, 2454, 343, 13831, 31904, 416, 28657, 17, 289, 312, 856, 1243, 577, 505, 4049, 19, 1006, 17, 594, 577, 776, 1551, 293, 29211, 1797, 338, 722, 517, 17, 312, 856, 1243, 503, 263, 14451, 293, 1291, 577, 610, 263, 10584, 450, 1509, 273, 21997, 17, 350, 263, 1156, 638, 2489, 721, 907, 343, 671, 5345, 17, 289, 594, 577, 413, 491, 2414, 293, 1020, 433, 310, 350, 263, 2298, 8199, 3108, 17, 577, 544, 1143, 10899, 343, 3315, 17, 289, 864, 503, 557, 289, 557, 819, 945, 17, 343, 577, 544, 1265, 598, 598, 3932, 6, 628, 383, 10899, 1972, 10004, 1601, 821, 354, 598, 6519, 17, 312, 5000, 13555, 577, 1437, 18, 70, 18, 29463, 577, 3641, 2235, 16965, 339, 6810, 878, 8696, 15263, 289, 357, 4510, 293, 263, 995, 1706, 6810, 4950, 836, 266, 7140, 94, 2777, 610, 266, 3289, 2723, 18410, 17, 343, 467, 475, 772, 2046, 273, 266, 1542, 19, 6519, 363, 805, 341, 864, 263, 2783, 17, 2372, 266, 1758, 475, 660, 273, 384, 27688, 19454, 517, 2894, 17, 289, 461, 5703, 17, 347, 467, 8465, 340, 17, 3227, 650, 31147, 273, 2582, 289, 590, 1400, 17, 289, 731, 6065, 273, 10863, 289, 18089, 369, 413, 1280, 706, 5548, 420, 1036, 293, 266, 6407, 273, 266, 1493, 19, 2256, 26511, 7907, 17, 424, 2201, 2996, 1080, 17, 7658, 358, 770, 6730, 3133, 14875, 19, 1646, 4667, 27193, 343, 452, 11579, 13777, 19, 531, 1546, 343, 266, 2638, 17, 289, 598, 8555, 343, 384, 4896, 1972, 347, 357, 4141, 341, 17, 357, 3399, 3099, 293, 384, 3220, 3672, 347, 263, 8697, 273, 498, 429, 939, 279, 5474, 17, 288, 369, 357, 694, 8236, 4544, 289, 5629, 878, 266, 8514, 6100, 10338, 490, 358, 7225, 293, 369, 17, 288, 2002, 17, 1601, 821, 363, 1465, 1582, 26488, 19, 7093, 706, 1493, 16023, 909, 293, 4388, 9807, 17, 357, 457, 1101, 293, 2110, 339, 3886, 17, 9679 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4988, 17, 289, 17, 1226, 452, 17, 1330, 2468, 17, 413, 347, 12736, 293, 266, 7391, 517, 1562, 347, 293, 339, 273, 584, 532, 9063, 491, 354, 289, 339, 17, 2148, 5846, 6333, 289, 1319, 5234, 413, 601, 3259, 656, 3007, 440, 288, 263, 10744, 17, 263, 828, 3159, 557, 331, 2473, 293, 8900, 358, 4647, 17, 1712, 17, 890, 288, 263, 14826, 25895, 17, 266, 4792, 273, 384, 23472, 289, 266, 6183, 273, 384, 4444, 571, 3177, 340, 384, 498, 550, 5508, 3632, 2271, 19, 1601, 821, 457, 828, 14724, 17, 441, 341, 363, 263, 2510, 1351, 293, 2155, 503, 293, 4215, 500, 350, 3687, 864, 14909, 354, 289, 384, 2139, 30366, 4005, 17, 1488, 21027, 273, 263, 6136, 517, 828, 6069, 1066, 728, 503, 6027, 293, 384, 12609, 17, 2144, 421, 5902, 17, 289, 1008, 452, 288, 384, 1120, 293, 5553, 341, 17, 1072, 360, 12258, 289, 3123, 19, 2316, 26511, 7907, 517, 1530, 76, 420, 654, 347, 4203, 551, 11454, 517, 23898, 12, 864, 30531, 475, 4399, 340, 263, 4740, 2246, 273, 384, 3670, 289, 5157, 19, 4890, 5883, 273, 8594, 1633, 266, 5329, 1527, 557, 293, 266, 15275, 17, 774, 341, 9869, 1718, 4328, 660, 273, 3239, 273, 709, 318, 2604, 265, 517, 19, 370, 2732, 363, 8036, 354, 1601, 821, 1715, 384, 7089, 836, 17, 4179, 1110, 650, 263, 3093, 17, 289, 20079, 271, 443, 2080, 374, 266, 2138, 19, 598, 3864, 2235, 341, 1362, 4972, 814, 598, 781, 357, 354, 598, 289, 3641, 2235, 312, 2420, 17, 340, 263, 945, 864, 421, 17, 339, 312, 363, 456, 70, 1407, 863, 4808, 5757, 312, 1080, 17, 6519, 17, 312, 806, 426, 263, 8485, 490, 312, 856, 21336, 288, 1425, 598, 531, 350, 577, 1972, 363, 266, 5152, 354, 598, 312, 26585, 2235, 457, 263, 13285, 1712, 312, 5011, 279, 266, 12155, 998, 1105, 354, 668, 424, 5900, 2235, 6038, 288, 1111, 785, 17, 343, 312, 6413, 835, 10683, 293, 2345, 551, 575, 273, 339, 402, 29035, 279, 729, 5390, 793, 354, 598, 289, 288, 1208, 3584, 17, 288, 951, 273, 667, 791, 18, 73, 1612, 4733, 4598, 340, 266, 15275, 17, 263, 10372, 273, 23078, 289, 263, 15124, 273, 8534, 4204, 266, 4952, 17, 3361, 667, 1706, 2258, 942, 306, 1359, 17, 1280, 289, 24105, 17, 9023, 7159, 925, 1902, 10572, 348, 6789, 2827, 19, 266, 3908, 9479, 347, 461, 11655, 295, 917, 17, 26878, 17, 3227, 650, 461, 3134, 17, 479, 4859, 505, 461, 1514, 17, 289, 4279, 452, 731, 5406, 1719, 350, 369, 27019, 13285, 29158, 10107, 703, 461, 10099, 273, 461, 6136, 6376, 19, 987, 1440, 2663, 1233, 15519, 467, 825, 5027, 19, 2451, 17, 424, 1465, 1326, 341, 806, 306, 4979, 266, 732, 8362, 347, 21487, 354, 577, 413, 6554, 505, 350, 2996, 358, 7225, 490, 577, 1089, 293, 1129, 616, 350, 266, 10680, 273, 263, 2783, 490, 577, 1627, 263, 9931, 273, 12653, 17, 289, 263, 6633, 11332, 805, 1455, 17, 288, 1278, 2859, 297, 266, 29743, 2596, 491, 7149, 4320, 88, 273, 972, 17, 289, 25620, 8069, 2834, 577, 864, 263, 27237, 339, 5791, 556, 25789, 19, 370, 13357, 1932, 448, 962, 339, 835, 5575, 273, 2605, 1849, 2640, 14462, 17, 289, 266, 598, 1156, 6353, 273, 26030, 598, 972, 1089, 293, 835, 20023, 297, 8872, 864, 347, 817, 10752, 19, 2324, 24630, 835, 1154, 3947, 266, 2723, 9505, 11196, 17, 289, 18402, 266, 3655, 7230, 407, 835, 11043, 17, 3241, 2557, 5011, 26294, 701, 26294, 17, 347, 467, 1340, 896, 3113, 288, 17, 289, 350, 263, 3235, 17, 4268, 2468, 273, 6207, 289, 18089, 17, 577, 8957, 14395, 660, 293, 2138, 19, 1743, 421, 637, 667, 4733, 278, 21617, 2707, 289, 7567, 17, 441, 6519, 17, 470, 457, 398, 2733, 421, 6136, 30445, 343, 263, 1699, 273, 676, 17, 363, 890, 557, 11184, 602, 384, 1493, 8139, 350, 384, 22664, 21858, 354, 289, 594, 266, 13993, 3289, 1275, 289, 266, 2094, 3908, 4761, 3025, 293, 1412, 263, 1335, 81, 273, 1706, 17, 357, 22841, 1718, 350, 785, 17, 9616, 26128, 293, 681, 263, 2605, 407, 266, 4952, 347, 890, 1601, 821, 17, 449, 20346, 273, 3687, 441, 5542, 16234, 17, 1353, 805, 18, 3058, 23011, 289, 28194, 19, 370, 1671, 363, 8812, 3113, 407, 266, 972, 17, 594, 17, 340, 4569, 343, 384, 8139, 17, 341, 5112, 503, 339, 6519, 17, 288, 266, 836, 297, 17, 363, 2325, 1834, 940, 273, 6355, 19, 14797, 357, 2144, 263, 17284, 18797, 1560, 17, 289, 357, 1585, 1353, 357, 2247, 263, 2737, 925, 266, 18631, 273, 266, 8783, 1092, 266, 396, 19749, 19, 598, 1297, 452, 339, 517, 10645, 17, 357, 517, 288, 7530, 1972, 363, 1601, 821, 517, 6100, 30125, 354, 289, 3361, 357, 1353, 341, 266, 11229, 4530, 363, 5450, 660, 343, 1073, 289, 1327, 293, 2283, 384, 2139, 19, 1979, 263, 2605, 341, 2779, 807, 289, 762, 384, 10958, 289, 19928, 263, 1553, 350, 266, 785, 17, 24955, 9348, 339, 6481, 503, 3099, 807, 1601, 821, 1066, 3048, 794, 767, 1733, 961, 21487, 942, 306, 32, 289, 772, 306, 536, 4072, 266, 3476, 357, 20284, 374, 734, 357, 23432, 770, 23706, 56, 10069, 11791, 5776, 17491, 19, 1945, 1076, 288, 266, 972, 490, 767, 331, 421, 814, 8975, 2233, 6787, 807, 6327, 20732, 4005, 331, 1110, 807, 441, 537, 331, 263, 1175, 328, 1384, 5972, 273, 2723, 289, 1706, 398, 1481, 6353, 794, 503, 17, 289, 266, 3501, 1284, 281, 1983, 2756, 266, 2008, 289, 3772, 505, 6055, 384, 2139, 517, 25533, 1337, 360, 266, 4397, 354, 289, 772, 467, 413, 1072, 1110, 787, 17, 343, 1601, 821, 331, 17536, 17, 289, 536, 398, 794, 7773, 266, 2510, 21753, 273, 11420, 4619, 263, 491, 407, 12299, 297, 19, 801, 357, 3772, 505, 1527, 557, 17, 289, 396, 2307, 384, 1154, 17, 289, 9681, 88, 289, 726, 325, 963, 27167, 293, 266, 583, 2676, 4397, 17, 339, 890, 288, 266, 972, 536, 263, 1327, 3065, 14263, 1082, 400, 288, 384, 8186, 19, 620, 331, 8462, 2080, 17536, 772, 17, 289, 263, 11196, 3480, 503, 1286, 1383, 289, 8589, 503, 805, 490, 357, 331, 708, 30366, 4005, 17, 289, 421, 676, 357, 668, 3772, 505, 343, 358, 6345, 293, 776, 708, 787, 17, 350, 263, 1134, 1046, 1036, 3591, 374, 384, 6394, 17, 289, 263, 6884, 3999, 340, 384, 6601, 19, 2451, 357, 316, 364, 1056, 374, 266, 3655, 972, 339, 1932, 293, 5860, 1337, 17, 289, 6468, 17, 289, 1154, 354, 289, 772, 357, 2001, 293, 306, 25327, 1384, 1738, 289, 1738, 354, 6024, 331, 2723, 289, 23412, 94, 490, 537, 331, 2922, 23211, 794, 384, 2361, 490, 289, 263, 3591, 273, 8520, 2393, 291, 30496, 503, 293, 12625, 341, 19, 370, 2714, 1521, 30422, 617, 331, 601, 962, 490, 263, 27701, 273, 1706, 1319, 19598, 591, 384, 2109, 17, 289, 266, 4761, 4715, 805, 503, 17, 347, 357, 8291, 340, 293, 30366, 4005, 517, 4397, 350, 266, 726, 4828, 273, 263, 12299, 297, 491, 19, 3523, 28931, 2619, 19, 770, 23706, 56, 10069, 11791, 5776, 17491, 19, 12474, 9746, 18, 7341, 517, 10033, 7046, 490, 3100, 7381, 40, 713, 2480, 715, 15797, 13358, 490, 770, 14529, 1250, 50, 2478, 12674, 490, 319, 9723, 13137, 23361, 21902, 51, 770, 24177, 21148, 12, 56, 318, 2480, 22229, 490, 29437, 21980, 3717, 893, 1500, 10347, 5619, 50, 2467, 713, 490, 3100, 25185, 9854, 11658, 2593, 56, 1607, 490, 8121, 16112, 25518, 416, 2268, 13867, 490, 319, 8107, 40, 922, 15797, 14638, 1637, 46, 45, 7412, 19, 372, 30733, 17, 1847, 17, 555, 511, 1437, 266, 1432, 761, 762, 266, 532, 1437, 2933, 19, 19712, 412, 331, 341, 343, 540, 452, 17, 339, 424, 373, 1255, 2699, 266, 14740, 1125, 17, 1074, 266, 14239, 273, 13506, 759, 17, 339, 1008, 461, 8732, 681, 828, 2403, 288, 266, 22460, 8922, 19, 987, 942, 628, 13770, 17, 398, 293, 1080, 29672, 17, 825, 424, 900, 637, 9234, 2023, 10572, 348, 6789, 2827, 19, 289, 15339, 343, 511, 1511, 1437, 18, 25163, 701, 467, 426, 1314, 637, 3239, 354, 825, 424, 959, 500, 17, 594, 467, 1326, 497, 9331, 2287, 331, 650, 461, 6065, 17, 424, 942, 8297, 368, 424, 942, 16248, 17, 1643, 347, 637, 19474, 23975, 650, 266, 8936, 296, 368, 266, 28201, 608, 19, 3942, 331, 537, 2240, 339, 1465, 28402, 19, 2024, 3772, 341, 339, 594, 424, 9298, 4352, 407, 491, 17, 424, 1326, 497, 7840, 293, 14413, 637, 27378, 293, 491, 517, 14475, 320, 1304, 263, 945, 1340, 594, 6024, 856, 306, 728, 1563, 36, 594, 537, 544, 306, 497, 557, 28025, 490, 497, 557, 29595, 490, 497, 557, 3406, 1007, 6905, 340, 266, 1477, 18, 11733, 289, 6905, 288, 266, 8314, 22, 36, 1162, 544, 306, 575, 4396, 28654, 273, 2450, 594, 339, 945, 1518, 1340, 490, 749, 3876, 12733, 289, 271, 18982, 407, 266, 1196, 16090, 1086, 490, 749, 10210, 7840, 17, 289, 21955, 23835, 17, 594, 266, 11043, 619, 497, 557, 306, 2769, 17, 1074, 266, 2722, 27362, 19, 598, 10997, 263, 8203, 424, 694, 1326, 448, 912, 273, 6373, 1654, 266, 4394, 3772, 2655, 354, 490, 288, 266, 15832, 424, 776, 6027, 311, 340, 17, 4067, 1717, 289, 13046, 490, 424, 761, 441, 912, 273, 637, 3154, 17, 289, 424, 3425, 288, 3028, 637, 3154, 5791, 1561, 3094, 793, 540, 354, 448, 424, 3837, 386, 793, 288, 266, 2094, 17, 289, 891, 341, 4458, 19, 2316, 26511, 7907, 17, 340, 266, 29496, 17, 3048, 1561, 273, 767, 29412, 363, 6707, 793, 17, 398, 1532, 1514, 407, 551, 490, 3048, 1561, 793, 1601, 821, 17, 19853, 8962, 2282, 343, 1073, 1437, 18, 70, 18, 82, 723, 660, 374, 2138, 734, 3048, 1561, 793, 266, 2853, 729, 457, 1314, 293, 1220, 3175, 273, 551, 1542, 18, 3211, 490, 263, 13790, 273, 29595, 17, 448, 9196, 1027, 17, 289, 9448, 501, 2832, 1594, 17, 748, 313, 11110, 660, 273, 598, 370, 4620, 21617, 20, 347, 12606, 347, 528, 21069, 4166, 293, 1146, 358, 1106, 19960, 4244, 17, 3746, 1878, 712, 2849, 293, 266, 1401, 273, 12287, 517, 1493, 289, 3980, 1658, 17, 729, 470, 13678, 407, 266, 21503, 517, 13616, 12600, 864, 263, 19678, 7666, 19, 3661, 528, 21069, 17, 19405, 17, 363, 30896, 263, 3539, 18, 6572, 17, 289, 7329, 343, 23330, 17, 31281, 339, 729, 457, 1314, 263, 29155, 18, 72, 489, 310, 757, 1778, 1949, 293, 263, 15124, 273, 396, 520, 654, 288, 266, 1551, 18, 4955, 742, 1277, 17, 339, 598, 266, 22784, 18, 5338, 1972, 347, 729, 1116, 341, 17, 363, 598, 274, 266, 300, 2211, 1972, 289, 537, 363, 13135, 293, 2795, 266, 3128, 3539, 19, 795, 998, 3536, 273, 27826, 363, 266, 1341, 273, 8477, 960, 358, 5558, 13909, 340, 511, 470, 457, 1906, 288, 551, 1511, 1073, 1563, 8439, 289, 10735, 1019, 557, 602, 2414, 19, 3062, 1029, 406, 3930, 457, 8465, 770, 23706, 56, 10069, 11791, 5776, 17491, 19, 1981, 505, 293, 266, 21877, 8407, 18, 12344, 9191, 11068, 350, 263, 10711, 5243, 289, 263, 4121, 1347, 354, 441, 594, 551, 16550, 363, 787, 289, 787, 13120, 8277, 17, 289, 266, 4550, 273, 6093, 660, 890, 2316, 26511, 7907, 517, 4406, 2171, 13501, 17, 729, 5240, 1718, 350, 266, 4121, 17, 3198, 1178, 1640, 273, 511, 470, 536, 6481, 266, 998, 14907, 407, 266, 516, 1463, 878, 21912, 266, 1670, 17, 289, 7231, 293, 1734, 641, 6333, 289, 6551, 413, 1847, 6069, 273, 266, 8514, 2930, 293, 637, 12145, 17, 289, 1740, 6027, 5376, 331, 398, 266, 4272, 5366, 273, 452, 1070, 2756, 19, 370, 2183, 5654, 30295, 650, 266, 18675, 17, 289, 537, 363, 398, 263, 4042, 273, 1640, 293, 10001, 731, 14217, 6870, 288, 266, 985, 1553, 289, 7140, 94, 4480, 490, 1101, 3062, 1291, 551, 2359, 17, 1134, 1046, 1036, 13264, 1110, 794, 551, 2361, 289, 3623, 1275, 551, 12281, 347, 729, 2039, 2340, 407, 551, 13501, 29817, 354, 343, 293, 658, 25074, 729, 363, 4050, 293, 7217, 17, 1606, 288, 266, 1369, 410, 1121, 288, 266, 1432, 17, 289, 266, 706, 25335, 3735, 288, 2356, 17, 729, 363, 8594, 340, 2406, 17, 878, 263, 8139, 368, 263, 491, 18, 21917, 427, 19, 598, 30187, 17, 339, 598, 88, 263, 828, 18, 11201, 2853, 807, 598, 781, 3287, 16406, 379, 417, 293, 384, 2139, 17, 1087, 908, 9480, 7293, 894, 534, 79, 598, 75 ]

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

[ 486, 18, 450, 776, 268, 17, 1111, 17, 441, 2794, 405, 805, 266, 18675, 19, 1155, 341, 363, 398, 448, 23509, 311, 3201, 17, 456, 718, 19788, 949, 424, 942, 2752, 805, 289, 2155, 263, 1362, 374, 551, 1425, 598, 15178, 1582, 6071, 476, 1972, 4028, 1087, 908, 9480, 17, 470, 17, 692, 601, 1493, 289, 263, 12081, 18, 4332, 1911, 863, 17, 363, 273, 1509, 803, 646, 354, 598, 441, 312, 3641, 2235, 1374, 17, 293, 18383, 577, 17, 490, 668, 5440, 577, 5900, 2235, 994, 551, 2223, 293, 476, 1425, 1142, 17, 347, 3287, 16406, 379, 417, 3227, 505, 384, 287, 20505, 9212, 17, 1087, 908, 9480, 2039, 925, 266, 732, 4983, 1619, 1898, 17, 343, 2786, 1092, 266, 676, 594, 384, 887, 694, 1867, 32, 289, 266, 10372, 599, 447, 3744, 30804, 340, 17, 289, 17, 360, 263, 15021, 423, 28016, 269, 17, 1566, 598, 1245, 4488, 266, 21324, 598, 273, 3062, 1029, 406, 3930, 19, 987, 571, 306, 3471, 767, 667, 681, 27663, 530, 295, 489, 440, 347, 828, 18, 11201, 16406, 379, 417, 17, 273, 266, 6782, 417, 17, 289, 1087, 908, 9480, 7293, 894, 534, 17, 273, 266, 446, 12081, 18, 18640, 17, 694, 306, 4114, 288, 1298, 374, 421, 676, 273, 266, 1105, 19, 987, 1363, 2150, 354, 343, 1658, 368, 2441, 2099, 734, 263, 18603, 272, 3103, 273, 266, 511, 289, 263, 12245, 273, 266, 532, 692, 266, 667, 3281, 339, 1683, 9393, 1493, 4733, 293, 266, 11669, 17, 594, 461, 1001, 3076, 8492, 413, 452, 598, 24553, 289, 3559, 1425, 1259, 341, 762, 341, 571, 17, 537, 467, 475, 17, 289, 2061, 10572, 348, 6789, 2827, 19, 3062, 1029, 406, 3930, 5541, 500, 18111, 3145, 17, 347, 17, 1403, 288, 551, 18672, 17, 467, 728, 19160, 9965, 12116, 4145, 650, 551, 3822, 17, 18727, 591, 17, 289, 1196, 2304, 17, 369, 942, 426, 496, 19081, 641, 805, 725, 438, 6023, 1236, 17, 441, 369, 17, 708, 266, 2400, 17, 475, 7149, 4440, 24546, 308, 289, 755, 28787, 19, 598, 312, 1326, 312, 598, 2071, 2155, 3099, 17, 289, 2212, 551, 641, 729, 598, 88, 2985, 2340, 1972, 781, 16406, 379, 417, 32, 289, 17, 1335, 1384, 384, 606, 1956, 287, 20505, 9212, 17, 357, 3623, 1275, 384, 12281, 293, 1002, 421, 3152, 297, 13514, 293, 358, 7307, 3763, 1213, 2853, 19, 3062, 517, 1630, 8761, 288, 551, 6239, 490, 729, 363, 263, 7391, 517, 3071, 20054, 289, 551, 1846, 517, 1836, 23053, 551, 1347, 1654, 341, 2707, 347, 641, 341, 597, 436, 2641, 551, 490, 729, 726, 275, 1553, 551, 785, 6414, 1217, 17, 289, 1353, 17, 1585, 16701, 525, 598, 3932, 17, 641, 312, 475, 441, 263, 491, 293, 8957, 266, 16787, 293, 266, 1881, 807, 490, 7287, 17, 641, 312, 475, 441, 263, 491, 293, 13274, 503, 347, 357, 5120, 807, 598, 531, 681, 263, 16234, 3312, 426, 9058, 1630, 2372, 772, 17, 441, 266, 8701, 1363, 998, 490, 266, 9718, 1111, 6754, 17969, 354, 289, 17, 12882, 343, 2853, 517, 6032, 289, 2853, 517, 7739, 807, 3062, 2970, 266, 4808, 26716, 30384, 350, 266, 1520, 4083, 9899, 289, 266, 8209, 7009, 273, 263, 5006, 17, 289, 748, 490, 729, 6913, 610, 5897, 19, 578, 363, 1111, 749, 354, 13423, 17, 8265, 17, 289, 13909, 457, 9688, 551, 5482, 17, 289, 729, 825, 426, 4940, 3913, 343, 266, 7739, 17, 441, 729, 448, 71, 2817, 864, 263, 1357, 19, 16406, 379, 417, 363, 263, 828, 18, 24108, 491, 17, 289, 263, 828, 3537, 17, 347, 341, 331, 1116, 17, 374, 1347, 490, 357, 363, 1433, 279, 289, 6305, 13267, 273, 1076, 19, 620, 1715, 384, 5051, 836, 347, 641, 729, 457, 496, 263, 24455, 17, 289, 350, 263, 14691, 339, 17662, 421, 363, 398, 263, 740, 7799, 17, 289, 1008, 557, 5806, 293, 384, 14837, 602, 384, 21944, 17, 357, 14938, 551, 7663, 17, 289, 5999, 551, 357, 1353, 729, 363, 598, 384, 10683, 12, 490, 598, 31697, 263, 7148, 17, 792, 12, 346, 17, 312, 11117, 577, 490, 2469, 13672, 476, 490, 828, 2427, 354, 598, 289, 448, 18449, 1076, 836, 1661, 18, 265, 18, 2238, 350, 384, 8139, 17, 470, 457, 4816, 358, 3555, 30763, 1114, 17325, 17, 1585, 572, 1182, 27804, 288, 511, 448, 1493, 17, 1317, 266, 1079, 11711, 19, 908, 3062, 1029, 406, 3930, 8465, 340, 17, 289, 3875, 6925, 551, 618, 6075, 17, 729, 11607, 2895, 21939, 340, 551, 6746, 17, 289, 19213, 20416, 23706, 56, 10069, 11791, 5776, 17491, 19, 267, 28, 3399, 1551, 650, 551, 1073, 350, 263, 3591, 273, 15012, 17, 339, 343, 263, 2385, 2779, 1585, 293, 17419, 5105, 332, 10599, 339, 729, 457, 398, 457, 263, 2343, 4550, 19, 578, 363, 441, 343, 263, 2385, 490, 3062, 457, 496, 2411, 279, 288, 31032, 17, 289, 457, 1469, 935, 360, 556, 15015, 19, 531, 575, 10283, 273, 1073, 681, 263, 19474, 347, 18716, 942, 426, 496, 21805, 293, 1867, 3809, 15877, 289, 498, 2867, 2976, 19, 1732, 13986, 273, 828, 597, 426, 496, 601, 995, 17, 289, 729, 597, 426, 3399, 1110, 350, 7084, 650, 266, 18409, 3814, 5234, 339, 11158, 266, 2527, 273, 551, 3537, 18, 24098, 957, 19, 801, 9972, 289, 17639, 457, 5182, 551, 817, 263, 13380, 17, 1733, 293, 2110, 17, 441, 21377, 293, 6102, 19, 1979, 457, 729, 293, 555, 350, 6032, 320, 490, 263, 1831, 293, 306, 3471, 17, 641, 577, 15567, 551, 7334, 17, 11899, 3822, 17, 350, 556, 21611, 18555, 289, 8209, 13832, 957, 490, 551, 18736, 18, 3065, 1154, 17, 1166, 340, 347, 641, 266, 3727, 457, 14781, 556, 8640, 350, 384, 498, 268, 1811, 29742, 462, 490, 551, 2094, 17, 1983, 18, 3446, 5150, 2287, 17, 350, 556, 785, 300, 14387, 17, 1225, 3298, 263, 1432, 273, 31559, 17, 9679, 17, 6573, 17, 289, 8936, 17, 343, 266, 3874, 491, 470, 825, 10039, 341, 1187, 310, 610, 1658, 490, 551, 7220, 1178, 31049, 289, 3431, 3650, 2894, 17, 551, 1846, 517, 26978, 17, 350, 266, 6333, 341, 306, 285, 80, 1275, 490, 551, 2363, 17, 1658, 530, 11043, 17, 350, 556, 6945, 273, 2359, 17, 2094, 3190, 4397, 8817, 2135, 1300, 340, 981, 1286, 273, 339, 3898, 17, 373, 21721, 2361, 17, 2710, 288, 266, 1983, 4244, 369, 17969, 668, 350, 266, 18353, 273, 2853, 3026, 354, 350, 452, 421, 729, 942, 426, 496, 263, 5006, 17, 1101, 767, 457, 729, 293, 555, 350, 6032, 814, 490, 263, 1831, 398, 293, 306, 3471, 273, 263, 2139, 1178, 17, 18509, 2853, 17, 478, 514, 3113, 2456, 266, 6288, 288, 266, 18800, 331, 12768, 273, 300, 12779, 1594, 288, 1298, 17, 25137, 551, 3785, 288, 266, 15766, 343, 3436, 17, 14995, 551, 8317, 7912, 71, 603, 288, 266, 1452, 514, 76, 1277, 273, 263, 3963, 5555, 18, 82, 443, 626, 19, 1979, 263, 6746, 641, 537, 475, 1561, 2719, 807, 991, 3405, 2093, 288, 339, 25756, 94, 6145, 490, 293, 10376, 12478, 311, 340, 681, 263, 10197, 10491, 347, 266, 3213, 517, 16416, 1851, 3539, 597, 14671, 14525, 343, 551, 9868, 517, 284, 547, 310, 490, 293, 2516, 266, 18800, 15000, 343, 266, 2597, 1122, 18800, 5740, 354, 945, 701, 945, 293, 1077, 266, 732, 1738, 17, 8555, 650, 8299, 6455, 289, 19532, 2065, 490, 945, 701, 945, 293, 10859, 26691, 8186, 805, 266, 2877, 18, 5574, 25799, 436, 7125, 490, 293, 7936, 322, 266, 9984, 273, 3028, 610, 598, 511, 490, 667, 490, 954, 490, 1171, 1972, 598, 511, 490, 8117, 490, 954, 490, 1171, 1972, 490, 289, 945, 701, 945, 293, 1399, 17, 25925, 5111, 10572, 348, 6789, 2827, 19, 660, 288, 1337, 289, 1374, 17, 293, 266, 8474, 2434, 369, 1363, 306, 1116, 263, 2340, 17, 289, 266, 6070, 273, 369, 17, 2997, 340, 1565, 273, 266, 3752, 17, 8656, 2175, 505, 266, 1733, 18, 74, 19856, 10889, 339, 694, 12555, 412, 289, 3082, 556, 6325, 6181, 32, 350, 1561, 293, 6530, 17, 1561, 293, 21952, 17, 1561, 293, 644, 4253, 17, 398, 890, 266, 9931, 273, 339, 3785, 369, 331, 668, 263, 1677, 273, 21817, 289, 1515, 32, 289, 17, 1226, 452, 17, 350, 1561, 293, 1658, 490, 767, 263, 6746, 597, 421, 306, 17, 475, 537, 398, 263, 2922, 293, 1362, 3099, 293, 490, 263, 6598, 2137, 339, 421, 331, 441, 263, 1063, 273, 4152, 289, 1479, 367, 734, 263, 6598, 5067, 339, 266, 6216, 331, 2585, 293, 1340, 374, 998, 807, 741, 470, 363, 3062, 1029, 406, 3930, 814, 2240, 273, 266, 817, 3688, 273, 263, 1357, 5876, 343, 266, 6553, 273, 556, 6455, 19, 987, 426, 781, 551, 1846, 363, 263, 7391, 17, 441, 17, 12882, 807, 551, 2511, 1066, 363, 17, 4751, 4493, 17, 2316, 1029, 406, 3930, 19, 8212, 2853, 17, 729, 5374, 551, 511, 7220, 17, 289, 23723, 729, 374, 4764, 343, 341, 19, 1764, 6507, 266, 3539, 650, 3913, 17, 289, 551, 6907, 1715, 828, 1461, 339, 341, 694, 1066, 787, 1412, 263, 436, 977, 1564, 293, 994, 551, 288, 19, 24993, 500, 343, 339, 807, 729, 363, 398, 263, 1310, 1410, 293, 306, 5577, 17, 289, 729, 3541, 6039, 19, 3287, 1029, 406, 3930, 597, 426, 4284, 551, 17, 457, 357, 1353, 681, 263, 6517, 340, 384, 545, 597, 426, 5850, 551, 2328, 17, 343, 357, 6631, 551, 23723, 354, 441, 357, 3048, 341, 825, 306, 273, 497, 1146, 17, 288, 263, 12660, 1473, 273, 1505, 17, 266, 668, 511, 288, 369, 357, 2243, 266, 1094, 17, 448, 357, 1291, 341, 836, 289, 1291, 341, 836, 17, 1654, 1111, 1916, 19, 1764, 1066, 10061, 273, 266, 12867, 1574, 551, 17, 441, 341, 7022, 551, 1347, 19, 2500, 288, 3785, 289, 29201, 17, 729, 457, 2320, 1718, 350, 266, 5955, 17, 1493, 10922, 4647, 1582, 602, 306, 5643, 610, 263, 11358, 369, 729, 1828, 2476, 17, 360, 263, 5243, 18, 17078, 729, 17199, 19, 1764, 457, 441, 511, 1357, 17, 289, 340, 339, 1357, 17, 341, 331, 17149, 293, 1080, 17, 729, 295, 2630, 10988, 311, 19, 1029, 406, 3930, 363, 263, 4142, 3537, 17, 3863, 18, 12676, 279, 293, 263, 7220, 17, 10556, 273, 266, 1432, 517, 1984, 17, 289, 273, 6024, 441, 384, 887, 5402, 289, 5962, 76, 1806, 354, 263, 11229, 7391, 17, 5792, 17, 347, 7525, 347, 263, 8407, 17, 289, 263, 1948, 2615, 288, 266, 17879, 273, 2312, 3567, 360, 384, 3672, 19, 3942, 17, 343, 452, 421, 17, 357, 3023, 266, 2511, 273, 384, 1357, 293, 776, 650, 266, 4384, 17, 708, 263, 31102, 1103, 17, 339, 357, 942, 2933, 288, 13937, 650, 551, 14843, 654, 19, 28117, 17, 341, 571, 770, 23706, 19, 56, 1672, 48, 11791, 5776, 17491, 19, 446, 4380, 306, 17, 343, 452, 4497, 17, 266, 10922, 4647, 2288, 643, 5924, 2368, 660, 23898, 1119, 84, 5533, 17, 289, 363, 11649, 350, 263, 4388, 12436, 575, 1481, 1476, 2096, 19, 620, 1314, 452, 357, 457, 17, 263, 976, 284, 3866, 512, 17, 293, 266, 2853, 357, 457, 448, 5841, 8811, 17, 289, 729, 6966, 350, 551, 3071, 610, 263, 6598, 11573, 288, 266, 2357, 273, 1396, 17, 774, 17, 343, 263, 676, 17, 467, 4211, 347, 3874, 347, 266, 945, 331, 785, 19, 1732, 1079, 17407, 475, 5717, 293, 266, 4379, 273, 551, 1357, 19, 1764, 5182, 551, 452, 729, 457, 3913, 3748, 490, 497, 1960, 3198, 273, 30796, 490, 289, 1493, 3062, 1029, 406, 3930, 419, 2202, 17, 360, 266, 9403, 4647, 517, 2420, 17, 467, 1465, 6071, 384, 1103, 14, 363, 22390, 1005, 2719, 532, 9696, 273, 551, 1947, 288, 266, 11899, 29201, 273, 2853, 3026, 17, 347, 791, 347, 288, 731, 9992, 8796, 369, 16186, 266, 1374, 289, 632, 266, 1401, 273, 4318, 19, 801, 3062, 517, 5933, 3026, 457, 358, 2930, 17, 288, 369, 551, 2511, 517, 363, 11811, 19, 1456, 2511, 17, 350, 266, 20679, 273, 511, 610, 1488, 2877, 266, 2598, 457, 5841, 3330, 17, 11583, 650, 551, 3071, 266, 13380, 729, 457, 3913, 448, 28523, 3748, 525, 598, 10597, 398, 835, 3425, 288, 491, 1972, 363, 266, 3156, 273, 817, 263, 10886, 763, 10404, 94, 17, 817, 263, 18877, 5102, 829, 17, 407, 266, 8598, 427, 16030, 293, 551, 9354, 1357, 32, 289, 17, 1108, 266, 5933, 517, 2050, 363, 20120, 16143, 288, 266, 14154, 273, 266, 7164, 17, 341, 363, 26747, 452, 266, 557, 8504, 288, 21605, 340, 384, 14475 ]

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

[ 19, 370, 2511, 517, 2308, 363, 441, 26227, 19, 28611, 729, 1353, 17, 598, 1979, 544, 1849, 273, 3062, 594, 312, 806, 2516, 551, 2271, 288, 266, 1432, 320, 598, 289, 17, 1021, 912, 3145, 293, 14023, 17, 729, 20919, 293, 551, 23303, 339, 1498, 26978, 273, 452, 17, 266, 551, 292, 661, 273, 358, 12075, 2877, 19, 8212, 1770, 807, 551, 887, 3854, 457, 496, 20120, 3893, 360, 8265, 289, 13909, 17, 289, 266, 1347, 18, 2330, 1778, 7750, 339, 729, 457, 1140, 505, 2340, 17, 5402, 17, 2255, 17, 828, 4544, 17, 6024, 17, 293, 26481, 551, 1493, 2931, 1658, 340, 358, 12276, 1397, 19, 3932, 807, 266, 4160, 3414, 8836, 273, 339, 2385, 17, 594, 740, 266, 8955, 517, 20162, 331, 790, 293, 306, 263, 12120, 807, 594, 740, 266, 18800, 1530, 17297, 12631, 88, 650, 540, 17, 339, 266, 692, 343, 1289, 424, 426, 16153, 637, 11709, 452, 17, 289, 4191, 341, 350, 263, 8297, 490, 1289, 424, 426, 973, 1381, 350, 452, 266, 13360, 343, 369, 637, 887, 1347, 1105, 2323, 490, 1289, 424, 426, 9462, 350, 266, 22954, 9549, 273, 6407, 17, 289, 378, 4802, 288, 266, 4054, 16189, 344, 273, 637, 887, 1771, 10572, 348, 6789, 2827, 19, 7624, 490, 1289, 424, 426, 3095, 650, 263, 29360, 17, 293, 951, 637, 4277, 3947, 556, 1514, 17, 331, 441, 263, 4356, 368, 263, 3093, 17, 701, 452, 807, 8212, 12432, 417, 807, 413, 424, 398, 12272, 13367, 320, 7549, 424, 398, 13568, 491, 293, 306, 637, 927, 320, 289, 856, 424, 5012, 266, 1770, 273, 6536, 350, 22567, 320, 1006, 354, 266, 601, 7177, 331, 728, 293, 2834, 556, 887, 24190, 19, 27813, 339, 424, 694, 3613, 1110, 293, 266, 7140, 17, 350, 18017, 289, 8741, 5285, 17, 602, 2933, 340, 288, 266, 4117, 31844, 273, 263, 4054, 5012, 17, 288, 266, 21763, 273, 263, 2877, 517, 15678, 293, 263, 9331, 20835, 19, 8212, 2316, 1029, 406, 3930, 419, 2202, 347, 681, 363, 266, 25924, 3213, 1563, 14, 6071, 551, 6599, 878, 263, 15050, 354, 441, 341, 363, 263, 5561, 6920, 293, 2516, 3062, 1184, 10029, 17, 594, 17503, 2582, 289, 25137, 7884, 19418, 551, 339, 729, 806, 1538, 2801, 19, 370, 5933, 363, 288, 266, 740, 9286, 8793, 273, 2853, 3026, 17, 3457, 289, 2710, 347, 641, 729, 457, 1066, 1563, 5690, 368, 3200, 18, 31983, 354, 289, 806, 729, 2516, 551, 772, 17, 594, 706, 729, 7414, 263, 2511, 517, 1461, 320, 927, 517, 544, 306, 1574, 807, 1162, 331, 263, 6598, 4700, 17, 288, 266, 8314, 273, 263, 6966, 23273, 17, 1005, 1718, 288, 266, 2357, 17, 3510, 360, 263, 2926, 5150, 3093, 17, 289, 266, 21109, 3070, 273, 263, 1103, 490, 1561, 557, 354, 289, 537, 266, 3479, 1528, 276, 440, 413, 5430, 805, 266, 1154, 273, 511, 470, 6631, 398, 16957, 490, 470, 1462, 509, 17, 289, 363, 23224, 17, 441, 398, 1070, 19, 3062, 1029, 406, 3930, 363, 1314, 293, 1319, 2775, 18, 27771, 1092, 266, 1432, 19, 319, 1733, 3831, 341, 331, 343, 731, 470, 413, 398, 5094, 350, 266, 10725, 3796, 273, 1218, 19, 370, 976, 1552, 20919, 293, 551, 360, 551, 2511, 517, 1461, 363, 12781, 288, 263, 6291, 654, 12, 4171, 17, 369, 6307, 19, 1297, 266, 1151, 17, 266, 8729, 363, 6023, 1236, 2455, 288, 266, 2427, 5324, 17, 289, 14730, 273, 6291, 654, 12, 5719, 17, 347, 467, 270, 7295, 461, 10967, 17, 6406, 17, 598, 6064, 807, 1208, 273, 658, 13703, 7022, 525, 8196, 393, 3460, 1809, 18442, 17, 497, 1734, 1425, 987, 2137, 341, 3186, 263, 12503, 293, 500, 17, 293, 1362, 263, 912, 4629, 610, 4875, 369, 467, 457, 24882, 1474, 293, 9911, 17, 289, 398, 293, 702, 17171, 1437, 358, 2653, 517, 2541, 17, 594, 681, 263, 10511, 7225, 942, 8995, 836, 266, 1209, 336, 20746, 407, 461, 6598, 9324, 19, 1979, 363, 3062, 293, 555, 320, 6581, 551, 3785, 289, 266, 18436, 340, 551, 1551, 17, 729, 457, 13307, 1561, 19, 741, 1101, 266, 5933, 517, 1347, 1066, 19613, 343, 770, 23706, 56, 10069, 11791, 5166, 48, 17491, 19, 647, 2071, 263, 2385, 354, 729, 363, 4683, 273, 339, 31312, 11516, 18, 17772, 6514, 17, 343, 369, 537, 331, 497, 1698, 1103, 602, 266, 1434, 27714, 733, 511, 273, 598, 18137, 1425, 5797, 729, 496, 263, 491, 17, 729, 597, 426, 3367, 3913, 354, 347, 341, 363, 17, 1940, 266, 6598, 545, 729, 457, 293, 2980, 2473, 557, 6333, 17, 3200, 18, 18924, 489, 17, 289, 3200, 269, 16852, 602, 266, 8697, 273, 817, 263, 5349, 19, 2240, 2930, 729, 457, 805, 817, 1324, 3359, 16392, 308, 734, 551, 8317, 475, 7459, 17, 551, 4379, 457, 496, 3335, 17, 289, 266, 1978, 4759, 374, 369, 729, 3638, 11616, 17, 339, 729, 806, 306, 263, 27809, 759, 368, 12358, 288, 263, 2411, 19, 370, 1541, 3752, 537, 363, 749, 3108, 288, 21912, 17, 6069, 369, 413, 30084, 288, 263, 3213, 692, 2243, 606, 26772, 88, 293, 263, 27809, 759, 354, 441, 4318, 289, 828, 6683, 413, 398, 448, 749, 660, 273, 951, 288, 266, 1671, 354, 289, 3062, 17, 701, 2111, 3108, 17, 289, 263, 30605, 9121, 17, 790, 3913, 860, 4809, 347, 1342, 12538, 288, 511, 273, 731, 1559, 3696, 88, 273, 15049, 289, 9822, 17, 6741, 263, 1493, 5926, 12, 17453, 523, 19, 9712, 92, 1441, 266, 1073, 340, 369, 266, 28715, 772, 16892, 17, 407, 452, 551, 3946, 3138, 273, 266, 1432, 807, 1764, 457, 496, 263, 12968, 912, 5933, 17, 288, 23968, 17, 2592, 570, 360, 3375, 407, 819, 8135, 288, 266, 2403, 419, 665, 349, 2978, 413, 452, 5995, 273, 2065, 853, 289, 8130, 2229, 360, 22627, 17, 470, 1353, 1561, 288, 266, 1432, 2407, 293, 384, 912, 2592, 19, 1764, 457, 5546, 610, 2853, 3026, 288, 266, 24429, 410, 16255, 273, 263, 976, 660, 18, 1038, 18, 1364, 18, 2566, 4249, 17, 3989, 1036, 668, 350, 551, 14240, 289, 6463, 2511, 17, 289, 8905, 343, 263, 1073, 273, 3108, 360, 3886, 289, 9679, 354, 289, 772, 729, 790, 3913, 266, 15203, 412, 273, 263, 1477, 288, 369, 537, 475, 3477, 10378, 17, 289, 774, 729, 457, 398, 890, 263, 2434, 273, 551, 887, 17, 293, 4780, 407, 266, 29747, 297, 436, 827, 273, 266, 9696, 17, 368, 266, 5206, 10913, 8561, 273, 2823, 10865, 5336, 17, 266, 12587, 2486, 18885, 665, 470, 18624, 805, 658, 13153, 21716, 88, 19, 1162, 1066, 363, 681, 263, 17, 951, 343, 5926, 12, 5507, 347, 266, 10729, 1542, 273, 10799, 12, 39, 3686, 1950, 354, 441, 17, 347, 424, 2051, 452, 658, 755, 408, 3426, 440, 273, 3785, 289, 4379, 413, 6531, 650, 266, 732, 3318, 17, 341, 331, 17149, 293, 7560, 500, 19, 9930, 289, 15332, 413, 1887, 2219, 3646, 293, 17, 289, 266, 1146, 273, 266, 1551, 18, 10986, 22773, 3325, 12383, 340, 17, 266, 4576, 6907, 17, 273, 1509, 17, 8285, 16478, 17, 289, 266, 6935, 289, 13298, 17, 2087, 10572, 348, 6789, 2827, 19, 3122, 266, 1541, 266, 10945, 17, 7408, 3291, 9382, 19, 6987, 5926, 413, 4264, 5182, 293, 2172, 3566, 4238, 340, 461, 19781, 343, 1386, 2475, 17, 424, 571, 1080, 17, 13307, 17, 340, 263, 16367, 17, 1108, 273, 266, 1397, 289, 5231, 273, 421, 21753, 17, 1740, 341, 331, 11431, 288, 266, 1319, 273, 263, 18800, 23004, 17, 358, 9354, 27128, 17, 368, 263, 676, 18, 18390, 1926, 7645, 17, 341, 1518, 398, 1849, 540, 17, 288, 637, 6877, 17, 293, 1243, 358, 1984, 19, 801, 10799, 6249, 39, 3686, 1950, 17, 350, 452, 556, 5698, 273, 1598, 607, 562, 423, 1640, 17, 4408, 5416, 18, 1811, 297, 17, 289, 18603, 272, 3103, 273, 31096, 17, 536, 511, 2111, 26772, 293, 731, 470, 1220, 650, 1474, 266, 11399, 3175, 273, 1493, 5926, 288, 266, 9130, 273, 263, 9478, 23968, 19, 370, 15332, 273, 263, 10729, 1542, 413, 398, 601, 2957, 21714, 526, 354, 441, 358, 1193, 407, 266, 11758, 17670, 17, 13720, 339, 263, 1137, 1287, 273, 14800, 447, 617, 343, 661, 72, 1448, 17, 521, 297, 1384, 24469, 17, 289, 25301, 287, 20505, 9212, 17, 694, 306, 7510, 1175, 8602, 297, 505, 289, 1110, 266, 2709, 4740, 75, 4713, 273, 584, 2142, 17, 1108, 341, 7465, 293, 266, 2933, 10060, 17, 331, 398, 2740, 293, 1017, 5632, 749, 293, 266, 1196, 29595, 273, 266, 951, 354, 289, 350, 452, 637, 23023, 273, 11756, 17, 289, 637, 7973, 17, 347, 3297, 1409, 17, 273, 266, 4388, 1401, 490, 2884, 266, 9612, 1661, 490, 424, 5173, 293, 263, 23874, 343, 341, 3420, 594, 2947, 2719, 757, 328, 960, 2605, 407, 637, 9189, 18, 3211, 17, 289, 8787, 350, 7530, 289, 7840, 339, 556, 9130, 17, 288, 637, 887, 3138, 17, 536, 8854, 805, 18, 317, 7063, 637, 18258, 17, 15522, 637, 19941, 2330, 1651, 17, 289, 1930, 637, 4122, 5587, 1683, 374, 1532, 281, 289, 402, 10720, 19, 801, 641, 424, 17, 358, 6141, 278, 25443, 17, 413, 1278, 11523, 293, 306, 2947, 407, 266, 1085, 15877, 8548, 273, 598, 13606, 18, 72, 429, 598, 289, 598, 4470, 18, 3446, 960, 1972, 407, 266, 11230, 16432, 31738, 273, 598, 6127, 297, 18, 3949, 12, 289, 598, 4082, 18, 24860, 1972, 767, 806, 426, 496, 828, 2823, 10865, 5336, 517, 1461, 289, 8265, 293, 7104, 551, 3980, 757, 7312, 11537, 407, 266, 663, 851, 1129, 1050, 273, 731, 31427, 1264, 19583, 18, 2727, 79, 910, 17, 1005, 557, 7459, 18080, 602, 266, 601, 11118, 22104, 289, 19700, 273, 266, 13366, 2406, 8135, 339, 10566, 500, 32, 368, 266, 5088, 23174, 273, 731, 828, 11201, 3375, 288, 461, 2135, 1300, 3643, 480, 18, 1786, 1994, 289, 461, 791, 72, 27799, 287, 20505, 9212, 17, 369, 4316, 3359, 347, 358, 12333, 293, 1474, 289, 263, 9294, 293, 461, 15992, 490, 263, 5232, 288, 1218, 17, 770, 1615, 877, 1584, 10069, 718, 52, 5166, 9051, 56, 12, 3871, 19, 2159, 289, 358, 8860, 288, 2577, 814, 2823, 10865, 5336, 363, 263, 1035, 2853, 354, 441, 729, 2314, 293, 426, 496, 263, 18372, 400, 293, 1896, 551, 15828, 347, 729, 597, 426, 5541, 17, 594, 17, 8594, 667, 18, 489, 18, 8117, 2456, 266, 18675, 17, 467, 475, 7510, 8959, 7907, 598, 266, 372, 13528, 26162, 593, 20, 9612, 289, 6128, 3926, 17, 368, 816, 711, 1384, 288, 266, 601, 5497, 18, 10718, 273, 461, 15049, 575, 20552, 288, 1700, 626, 4975, 17, 470, 597, 22680, 288, 2782, 266, 4603, 1286, 273, 266, 598, 2392, 10231, 328, 1972, 289, 748, 521, 297, 1384, 384, 24469, 1744, 288, 31102, 21110, 440, 354, 3009, 17, 2823, 10865, 5336, 791, 3048, 17, 347, 263, 20801, 343, 788, 8081, 708, 461, 12513, 4255, 289, 598, 643, 3856, 12, 374, 266, 4455, 9002, 17, 803, 8384, 398, 288, 10352, 3947, 731, 31628, 19, 801, 767, 728, 266, 2709, 273, 266, 5587, 17, 347, 729, 1116, 3913, 17, 557, 10747, 763, 602, 3687, 3145, 17, 363, 293, 7400, 339, 266, 3822, 340, 1289, 658, 16726, 1129, 1050, 13564, 350, 266, 2955, 6256, 273, 18066, 289, 7973, 363, 398, 511, 273, 266, 1493, 5926, 650, 1289, 729, 598, 13139, 1157, 263, 2511, 517, 1461, 17, 289, 10207, 263, 2005, 19489, 517, 4379, 598, 419, 4708, 22926, 24608, 398, 511, 273, 266, 3213, 10378, 343, 1289, 729, 2707, 17, 347, 729, 4141, 341, 17, 598, 729, 363, 11399, 17, 1337, 289, 2877, 1972, 441, 266, 21611, 1410, 17, 289, 266, 3620, 17, 5561, 2361, 17, 273, 266, 22910, 12538, 17, 3062, 1029, 406, 3930, 807, 598, 5797, 341, 496, 2578, 17, 343, 2806, 1972, 1353, 2823, 10865, 5336, 17, 4961, 505, 551, 7791, 5935, 350, 263, 6633, 9931, 339, 17, 2145, 969, 3326, 17, 729, 17, 1111, 17, 457, 263, 10717, 17, 598, 368, 890, 2823, 1629, 538, 6977, 598, 419, 1364, 17052, 12538, 17, 263, 8048, 1921, 289, 13487, 16433, 4513, 563, 853, 598, 9206, 2878, 536, 263, 456, 8444, 74, 462, 7, 3822, 17, 368, 912, 2823, 397, 1560, 3830, 17, 368, 20149, 2823, 11780, 17, 312, 825, 426, 4518, 341, 354, 441, 266, 3017, 273, 339, 13316, 6578, 1770, 17, 350, 551, 3898, 2361, 289, 551, 396, 418, 1502, 18436, 807, 341, 668, 4591, 266, 4667, 19809, 920, 426, 17, 289, 266, 31290, 8110, 467, 413, 407, 3627, 293, 973, 1425, 741, 448, 2042, 2823, 10865, 5336 ]

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

[ 3237, 293, 393, 3954, 1036, 340, 1137, 6396, 273, 551, 887, 2093, 8697, 17, 289, 263, 803, 451, 369, 302, 7295, 551, 1493, 6434, 288, 266, 13583, 17, 925, 266, 5483, 336, 3103, 273, 491, 19, 598, 7549, 577, 4933, 320, 598, 1765, 263, 21248, 293, 384, 7442, 19, 598, 7549, 577, 4663, 320, 598, 942, 3312, 347, 791, 2212, 273, 981, 532, 354, 289, 537, 413, 1156, 3544, 500, 17, 424, 6407, 17, 441, 2130, 10572, 348, 6789, 2827, 19, 374, 511, 676, 273, 461, 4792, 426, 3559, 925, 266, 1369, 434, 1165, 552, 273, 5690, 19, 2823, 10865, 5336, 1008, 398, 1362, 864, 263, 5349, 486, 354, 1101, 729, 17, 1111, 17, 457, 457, 551, 17313, 19, 3380, 17, 341, 457, 17384, 551, 1401, 17, 343, 4973, 729, 363, 263, 1559, 18, 16778, 2853, 32, 289, 266, 4455, 316, 1839, 440, 805, 1289, 729, 18624, 912, 1353, 762, 749, 339, 9034, 15155, 3213, 5378, 1091, 350, 452, 266, 9354, 598, 12306, 10126, 1950, 440, 598, 289, 4144, 810, 27378, 729, 1353, 341, 1245, 293, 27553, 448, 10939, 19, 2451, 17, 890, 2823, 10865, 5336, 825, 398, 3228, 28440, 339, 17, 5792, 266, 1564, 7973, 3062, 1029, 406, 3930, 9513, 5983, 17, 497, 1298, 3785, 273, 1437, 18, 70, 18, 31552, 9346, 825, 426, 6946, 266, 15678, 2655, 293, 551, 12914, 350, 1934, 23777, 289, 27826, 602, 1008, 266, 22910, 12538, 19, 370, 5933, 2779, 293, 2933, 288, 263, 4208, 1432, 273, 551, 887, 17, 4435, 407, 266, 1330, 11303, 289, 1102, 15713, 273, 551, 6907, 19, 1764, 363, 1187, 289, 24618, 293, 452, 17, 441, 729, 728, 497, 15584, 1806, 17, 289, 457, 497, 4122, 2139, 19, 1764, 2306, 293, 6282, 551, 18436, 29115, 343, 969, 701, 266, 2875, 3535, 339, 2951, 733, 3919, 675, 1915, 17, 289, 350, 339, 18436, 729, 2779, 293, 2834, 793, 350, 551, 266, 12208, 4988, 17, 1585, 266, 8492, 2725, 17, 273, 551, 2671, 2511, 19, 4968, 2823, 1629, 538, 6977, 17, 1289, 729, 8310, 279, 925, 266, 28599, 17, 289, 470, 17, 350, 7814, 2308, 17, 289, 263, 3289, 12657, 273, 21903, 759, 17, 12141, 729, 16897, 551, 1073, 293, 2823, 1029, 406, 3930, 517, 1461, 17, 19626, 339, 729, 825, 398, 1077, 551, 660, 354, 289, 2002, 293, 22993, 17, 1072, 339, 24611, 4686, 3213, 289, 266, 10064, 2823, 10865, 5336, 3913, 17, 475, 263, 912, 7669, 273, 461, 17025, 12538, 17, 350, 551, 13616, 3785, 289, 551, 6637, 17, 5561, 2361, 19, 12537, 12913, 340, 17, 289, 3062, 1029, 406, 3930, 17, 772, 288, 266, 16611, 8793, 273, 2853, 3026, 17, 363, 1135, 22910, 12538, 374, 2823, 10865, 5336, 517, 17, 289, 942, 426, 3541, 537, 1654, 551, 6823, 3822, 363, 7631, 17, 289, 551, 22145, 2135, 2692, 475, 5150, 17, 457, 341, 398, 496, 343, 339, 1193, 407, 266, 11758, 17670, 17, 2455, 1226, 17, 369, 5240, 266, 1154, 18, 13821, 273, 266, 598, 372, 13528, 26162, 593, 598, 407, 4514, 4079, 293, 10799, 6249, 39, 3686, 1950, 19, 10677, 31476, 363, 537, 288, 266, 1542, 594, 421, 8135, 273, 598, 27930, 662, 598, 288, 8191, 31223, 10389, 288, 350, 452, 266, 9807, 273, 1218, 354, 1074, 475, 266, 24976, 6738, 88, 273, 637, 13743, 608, 19406, 2640, 1667, 407, 266, 770, 23706, 56, 10069, 11791, 5776, 17491, 19, 2310, 8701, 339, 13974, 2983, 266, 4911, 19, 2823, 10865, 5336, 457, 551, 598, 3128, 598, 3289, 311, 267, 2319, 17, 1335, 818, 17, 289, 8187, 293, 263, 2338, 369, 17, 424, 2051, 17, 331, 6741, 598, 278, 1458, 354, 598, 2823, 1629, 538, 6977, 2388, 350, 1069, 6258, 18026, 288, 551, 1125, 17, 273, 263, 10671, 20411, 498, 9934, 18686, 293, 551, 16106, 354, 3361, 263, 1196, 3591, 3544, 266, 10378, 288, 1883, 273, 598, 70, 3171, 1972, 7851, 266, 4172, 6326, 358, 4125, 17, 17662, 339, 266, 12743, 17, 3094, 341, 942, 306, 17, 363, 10931, 660, 18, 1038, 18, 5213, 910, 19, 3062, 1029, 406, 3930, 2271, 2779, 10422, 311, 11888, 293, 266, 7075, 273, 266, 4388, 17, 289, 1101, 551, 18462, 341, 363, 339, 266, 5666, 273, 658, 24359, 94, 18080, 12833, 288, 263, 1578, 729, 273, 452, 1233, 825, 1874, 426, 30446, 19, 987, 426, 781, 339, 273, 266, 2875, 11303, 273, 551, 1187, 729, 363, 7968, 10556, 32, 441, 537, 363, 511, 10099, 273, 369, 3062, 1066, 25925, 17, 289, 288, 369, 729, 2555, 497, 4125, 273, 31761, 594, 729, 825, 555, 448, 878, 4287, 297, 4564, 19, 795, 363, 17, 17905, 293, 263, 4388, 3800, 19, 578, 16108, 551, 273, 551, 15143, 490, 341, 16108, 551, 273, 551, 2511, 490, 289, 729, 825, 1917, 4039, 8165, 360, 556, 8548, 343, 2475, 19, 531, 266, 6870, 774, 266, 3800, 9902, 17, 537, 1446, 293, 306, 263, 18634, 517, 18328, 2413, 360, 358, 1106, 3040, 18, 19489, 17, 749, 6513, 1091, 360, 266, 10865, 5336, 5587, 17, 289, 350, 421, 2355, 11023, 5286, 17, 3062, 728, 1377, 293, 8312, 551, 912, 402, 17865, 22466, 17, 289, 10918, 293, 266, 5555, 17, 7851, 551, 2411, 4198, 6252, 266, 13695, 19, 2451, 341, 5543, 339, 511, 20052, 8089, 17, 594, 3062, 17, 288, 551, 2875, 270, 19273, 27264, 17, 363, 4414, 643, 311, 17746, 407, 551, 25767, 18, 6564, 266, 24248, 5834, 273, 598, 266, 372, 939, 940, 1972, 263, 1137, 14823, 23373, 517, 3213, 363, 6464, 350, 811, 5846, 23412, 1594, 347, 729, 1591, 275, 2983, 288, 266, 6870, 17, 289, 3287, 397, 12, 10758, 4545, 17, 266, 606, 6189, 273, 266, 8135, 17, 1566, 726, 1332, 297, 610, 266, 18634, 517, 18328, 293, 2155, 263, 3196, 273, 972, 343, 266, 23139, 17, 650, 1289, 357, 363, 288, 1949, 8790, 19, 3062, 363, 6980, 293, 2544, 288, 263, 1083, 273, 6355, 17, 289, 266, 3287, 17, 358, 16487, 3343, 268, 273, 3785, 17, 363, 4328, 27401, 1307, 360, 266, 23230, 636, 357, 17486, 288, 951, 273, 266, 21877, 94, 1106, 2853, 357, 457, 3855, 293, 1265, 1579, 19, 397, 12, 10758, 4545, 363, 263, 3437, 273, 3138, 17, 289, 17, 347, 2171, 263, 491, 273, 1218, 17, 9571, 288, 10154, 19, 620, 580, 2229, 1437, 2609, 10572, 348, 6789, 2827, 19, 266, 31700, 1950, 273, 972, 805, 3062, 517, 1956, 17963, 17, 369, 13293, 18, 13004, 458, 1923, 503, 358, 4125, 273, 1596, 9785, 1076, 374, 1699, 343, 384, 18432, 759, 17, 289, 8263, 297, 384, 11711, 350, 266, 2710, 2853, 357, 457, 448, 25694, 5381, 288, 350, 19, 370, 1851, 945, 1566, 263, 7622, 4251, 17, 289, 263, 3189, 1365, 273, 21110, 440, 17, 5125, 1553, 288, 266, 706, 25805, 2907, 17, 289, 5447, 2316, 1029, 406, 3930, 19, 598, 312, 3711, 762, 357, 790, 476, 660, 1972, 1353, 3062, 17, 598, 489, 3243, 357, 1008, 398, 1291, 2823, 1425, 1162, 363, 497, 20438, 293, 266, 3189, 17, 289, 341, 363, 3545, 293, 3914, 266, 4251, 1551, 17, 448, 729, 18018, 341, 288, 551, 3277, 268, 17, 289, 19382, 767, 729, 2314, 293, 555, 17, 289, 767, 551, 2511, 597, 426, 10825, 19, 2348, 421, 17, 9816, 3062, 2039, 17, 537, 363, 3287, 397, 12, 10758, 4545, 354, 374, 1791, 17, 288, 551, 2411, 13377, 17, 594, 729, 2039, 660, 350, 2823, 10865, 5336, 490, 357, 2779, 293, 426, 358, 10180, 1767, 463, 2246, 273, 551, 7075, 17, 289, 1066, 293, 6190, 358, 4125, 273, 22517, 374, 551, 19, 3062, 363, 263, 2853, 17, 701, 452, 354, 729, 1353, 341, 363, 598, 601, 13538, 1972, 1101, 363, 266, 8701, 398, 4049, 13217, 4158, 19, 399, 14380, 397, 12, 10758, 4545, 363, 22308, 5955, 354, 288, 1343, 17, 1683, 2243, 598, 266, 1498, 4569, 3537, 288, 266, 372, 939, 940, 1972, 350, 263, 2344, 11051, 273, 1578, 17, 289, 263, 4740, 2246, 273, 266, 1079, 1113, 17, 2579, 17, 289, 2786, 273, 1218, 347, 2249, 340, 1092, 266, 17547, 6907, 19, 1979, 4550, 457, 266, 2139, 1178, 12358, 517, 1347, 1092, 681, 263, 19652, 36, 795, 490, 537, 363, 497, 18392, 288, 266, 21904, 490, 537, 363, 497, 17659, 11610, 293, 306, 266, 3519, 517, 1498, 24317, 17, 497, 10511, 2550, 1221, 1074, 12276, 12334, 293, 1077, 263, 10646, 3740, 3009, 347, 263, 10646, 19, 3062, 363, 511, 273, 266, 1156, 3312, 470, 619, 959, 1631, 347, 467, 413, 17, 289, 398, 925, 266, 16269, 273, 461, 887, 7624, 368, 10569, 354, 289, 594, 729, 1566, 293, 761, 503, 1698, 17, 729, 7714, 266, 7055, 27137, 273, 266, 18971, 491, 273, 266, 1432, 17, 350, 263, 895, 3015, 6181, 273, 369, 357, 597, 426, 2740, 598, 1364, 5955, 27809, 759, 12, 8114, 10795, 19, 1456, 729, 694, 761, 503, 1698, 17, 357, 1715, 828, 1461, 17, 441, 384, 12600, 475, 448, 791, 605, 279, 17, 448, 25805, 17, 289, 288, 681, 6305, 828, 3670, 17, 339, 341, 363, 3545, 293, 1220, 8102, 9529, 374, 500, 17, 289, 3062, 790, 3913, 17, 729, 2597, 3048, 762, 17, 3096, 3287, 397, 12, 10758, 4545, 1503, 4876, 17, 8594, 350, 503, 347, 1005, 347, 266, 973, 273, 266, 5740, 17, 19385, 360, 384, 366, 8121, 23706, 56, 10069, 11791, 5776, 17491, 19, 2626, 4002, 367, 17, 289, 8590, 288, 384, 1401, 17, 794, 729, 457, 676, 293, 1326, 774, 368, 762, 729, 457, 728, 384, 7442, 17, 289, 288, 767, 1578, 681, 358, 7442, 363, 3807, 293, 973, 19, 741, 397, 12, 10758, 4545, 1076, 363, 3293, 288, 1658, 17, 288, 384, 887, 1151, 17, 350, 598, 1364, 5955, 27809, 759, 1425, 598, 15484, 331, 497, 6837, 864, 358, 1106, 511, 1972, 357, 26637, 293, 384, 2139, 16406, 379, 417, 17, 273, 266, 6782, 417, 17, 288, 358, 17753, 5447, 293, 339, 11789, 374, 17583, 19, 598, 1155, 312, 475, 263, 456, 27486, 491, 949, 369, 577, 791, 761, 312, 596, 398, 17, 312, 694, 11933, 266, 1454, 273, 567, 1073, 17, 9871, 347, 597, 306, 266, 21807, 17, 350, 421, 6823, 2316, 1029, 406, 3930, 19, 312, 1465, 891, 551, 360, 339, 31505, 311, 3571, 354, 341, 331, 448, 749, 557, 25805, 17, 289, 806, 1077, 551, 1627, 448, 749, 557, 6141, 19, 1764, 331, 668, 263, 12358, 17, 567, 2997, 3537, 17, 263, 12358, 288, 263, 9696, 12, 2411, 354, 289, 1101, 17, 343, 6447, 289, 3060, 17, 289, 2298, 456, 995, 18, 18124, 456, 1578, 17, 729, 942, 306, 263, 24455, 19, 3340, 263, 2406, 289, 1217, 807, 312, 619, 1220, 567, 8016, 729, 536, 828, 1630, 288, 551, 6239, 19, 1132, 28569, 17, 729, 23839, 476, 273, 835, 1106, 15740, 17, 318, 760, 3442, 490, 347, 2710, 347, 263, 5816, 490, 289, 6683, 347, 641, 729, 597, 2514, 1582, 602, 1243, 288, 19, 312, 1066, 288, 567, 1073, 2144, 263, 2853, 312, 12303, 1437, 448, 749, 354, 577, 761, 312, 596, 1683, 4455, 1733, 14708, 17, 441, 650, 567, 1104, 312, 5532, 293, 2596, 312, 426, 263, 3756, 951, 288, 476, 18442, 19, 741, 748, 17, 567, 2997, 16406, 379, 417, 17, 767, 3329, 266, 1770, 448, 11671, 331, 421, 490, 312, 555, 398, 2051, 729, 13997, 511, 18566, 273, 263, 1437, 23154, 343, 476, 701, 452, 17, 289, 339, 641, 312, 475, 6837, 2414, 293, 2366, 293, 8978, 551, 293, 18, 9327, 17, 729, 597, 11497, 8556, 266, 5698, 289, 25428, 273, 266, 2518, 17, 289, 3577, 17, 368, 601, 3807, 8104, 476, 17, 350, 551, 6637, 17, 19715, 25178, 6447, 17, 4440, 498, 2027, 31255, 347, 341, 331, 17, 289, 878, 7925, 263, 7757, 273, 551, 2710, 17, 31687, 6445, 19, 3864, 2235, 729, 2420, 729, 571, 426, 266, 4550, 36, 289, 1101, 17, 7424, 347, 341, 8548, 17, 312, 596, 9463, 3325, 288, 1658, 350, 551, 19, 2324, 544, 5726, 374, 476, 456, 11715, 311, 949, 289, 1841, 312, 1627, 1437, 6117, 293, 5726, 374, 2578, 17, 29547, 3113, 793, 266, 19532, 410, 273, 2450, 17, 347, 5841, 798, 24313, 347, 641, 312, 475, 263, 3364, 351, 17, 5913, 960, 312, 1280, 1566, 1070, 17, 289, 1101, 398, 491, 2414, 293, 2516, 289, 776, 340, 17616, 17, 369, 312, 426, 266, 26308, 273, 4114, 19, 312, 856, 959, 551, 787, 421, 3225, 17, 289, 1340, 293, 263, 8105, 511, 1151, 368, 266, 532, 17, 343, 2554, 10572, 348, 6789, 2827, 19, 421, 619, 2235, 776, 340, 19, 531, 266, 15832, 17, 3641, 2235, 1412, 476, 505, 293, 263, 2877 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 289, 2051, 476, 20, 811, 72, 19, 1456, 601, 3225, 17, 263, 7334, 17, 828, 18, 11201, 491, 17, 288, 1700, 626, 4975, 17, 942, 426, 496, 1359, 17, 347, 1847, 357, 363, 1359, 17, 360, 2823, 10865, 5336, 517, 1477, 16416, 17, 8594, 263, 7622, 5150, 844, 1899, 17, 350, 556, 27588, 805, 384, 1661, 17, 1949, 293, 266, 2406, 18, 85, 902, 477, 288, 5758, 95, 1176, 3444, 17, 1983, 288, 767, 2779, 358, 3162, 5703, 350, 263, 2710, 2853, 288, 1956, 19, 598, 1142, 577, 3641, 2235, 2051, 424, 5427, 824, 1280, 413, 22369, 17, 2316, 1029, 406, 3930, 36, 312, 596, 7669, 577, 426, 263, 601, 2686, 1984, 273, 266, 1079, 6907, 1972, 781, 266, 3437, 17, 350, 263, 2187, 1545, 8731, 288, 384, 3418, 17, 4440, 9412, 293, 503, 17, 289, 1211, 6838, 20411, 350, 266, 9998, 17, 9933, 17086, 273, 384, 8139, 19, 598, 46, 1363, 1243, 358, 1984, 774, 312, 426, 448, 912, 2246, 17, 3287, 397, 12, 10758, 4545, 1972, 363, 266, 5152, 354, 729, 3025, 293, 761, 503, 791, 772, 17, 289, 14941, 293, 4360, 660, 350, 503, 17, 347, 263, 2853, 1066, 1518, 350, 263, 491, 343, 1289, 729, 13997, 354, 598, 312, 619, 668, 4261, 360, 767, 312, 959, 19, 578, 1932, 293, 476, 339, 577, 452, 2933, 5135, 289, 2640, 343, 13461, 19, 1155, 577, 413, 11973, 17, 577, 519, 11589, 835, 8317, 293, 2155, 266, 1698, 273, 835, 2255, 288, 819, 1816, 530, 1696, 273, 12805, 2496, 32, 641, 577, 413, 7525, 17, 835, 6333, 331, 441, 728, 26350, 293, 835, 11610, 289, 3200, 18, 538, 3695, 272, 25114, 354, 641, 577, 413, 2431, 17, 835, 2441, 331, 5717, 293, 835, 887, 13695, 289, 835, 887, 4094, 19, 312, 1066, 2663, 17, 772, 18, 330, 683, 17, 273, 3687, 3219, 17, 3687, 22369, 17, 681, 347, 312, 426, 1143, 273, 19, 801, 312, 596, 12331, 606, 22302, 1972, 781, 3062, 17, 30041, 3913, 17, 289, 15709, 374, 551, 887, 12130, 17, 13452, 273, 266, 6887, 7973, 350, 369, 266, 280, 1543, 286, 517, 2109, 475, 21689, 89, 570, 340, 551, 2361, 19, 7093, 452, 3809, 26641, 920, 17, 537, 363, 263, 580, 558, 273, 17313, 793, 397, 12, 10758, 4545, 17, 289, 357, 14941, 293, 2345, 660, 266, 20909, 3404, 273, 263, 1374, 2895, 28349, 293, 384, 887, 12653, 5478, 17, 557, 2884, 594, 339, 1374, 7590, 293, 681, 263, 1410, 347, 384, 8139, 19, 598, 312, 825, 3238, 339, 920, 571, 306, 22369, 17, 890, 288, 266, 25913, 3107, 1972, 781, 357, 17, 289, 787, 384, 3418, 23558, 347, 341, 19613, 1585, 293, 263, 10965, 490, 598, 339, 537, 413, 920, 470, 597, 1243, 505, 4526, 17, 3672, 17, 9053, 17, 6024, 17, 490, 266, 919, 770, 23706, 56, 10069, 11791, 5776, 17491, 19, 2757, 467, 3244, 17, 289, 266, 3220, 467, 1362, 3099, 293, 17, 490, 343, 266, 5554, 273, 511, 1289, 467, 9651, 490, 12303, 490, 288, 1511, 17, 1289, 467, 6631, 1425, 1764, 597, 398, 2987, 503, 17, 289, 266, 6637, 11043, 363, 347, 6637, 347, 1280, 1230, 729, 4696, 17, 598, 312, 1363, 1326, 448, 19, 312, 426, 1359, 1904, 2414, 347, 263, 1357, 17, 343, 577, 761, 312, 596, 1437, 263, 7391, 2578, 17, 293, 1243, 476, 497, 10363, 293, 26086, 567, 8796, 288, 2125, 1455, 19, 741, 1101, 312, 426, 567, 13986, 273, 263, 5349, 1111, 17, 441, 288, 658, 1476, 537, 331, 497, 681, 1401, 347, 263, 8610, 20297, 17, 263, 4595, 10737, 419, 17380, 761, 17, 424, 27809, 28830, 806, 398, 6102, 637, 2353, 853, 263, 1613, 12895, 17, 368, 263, 30773, 1425, 598, 312, 598, 2071, 6282, 1714, 5388, 288, 567, 1125, 17, 1714, 4537, 1851, 567, 1347, 1972, 29031, 397, 12, 10758, 4545, 354, 289, 748, 17, 2249, 1718, 360, 266, 11395, 273, 266, 2385, 17, 289, 6102, 763, 273, 452, 384, 12660, 12455, 289, 828, 15745, 17, 357, 12478, 16764, 14499, 340, 490, 598, 9186, 275, 293, 476, 17, 2316, 1029, 406, 3930, 354, 312, 571, 306, 31663, 293, 2223, 1278, 293, 577, 340, 681, 1511, 7442, 17, 441, 577, 806, 426, 1359, 567, 1588, 490, 567, 2200, 490, 567, 8781, 354, 312, 1363, 2834, 293, 959, 577, 16054, 1070, 17, 4309, 1718, 288, 681, 263, 951, 347, 421, 490, 577, 470, 413, 5230, 343, 3495, 289, 21119, 17, 289, 6024, 339, 331, 2358, 1021, 288, 1073, 19, 1304, 577, 16783, 650, 476, 814, 544, 577, 3840, 476, 293, 19612, 577, 407, 421, 8170, 6746, 814, 544, 577, 918, 320, 598, 3062, 7683, 2671, 1511, 17, 6484, 3913, 505, 17, 289, 3399, 551, 3343, 268, 1365, 288, 266, 2361, 525, 598, 312, 596, 448, 498, 2586, 293, 421, 3319, 273, 2907, 17, 3287, 397, 12, 10758, 4545, 1972, 729, 2222, 17, 878, 263, 8400, 5692, 273, 12580, 17, 598, 339, 312, 555, 398, 4931, 2987, 577, 19, 1155, 767, 577, 426, 293, 1080, 331, 2454, 343, 476, 293, 2663, 17, 2469, 5580, 6502, 354, 641, 398, 17, 312, 2420, 577, 263, 828, 3225, 354, 598, 289, 16999, 297, 343, 358, 6345, 1230, 729, 2413, 503, 17, 347, 341, 475, 17, 598, 436, 2991, 288, 551, 2287, 1972, 729, 3227, 1738, 17, 289, 8465, 22626, 289, 24827, 5108, 2340, 293, 2823, 10865, 5336, 517, 19, 370, 280, 1543, 286, 363, 4328, 1224, 487, 1047, 360, 266, 9711, 350, 369, 384, 2870, 457, 496, 27672, 19, 1162, 357, 3558, 17, 3499, 266, 5150, 2764, 17, 7968, 12423, 17, 289, 398, 7121, 1740, 293, 4743, 368, 6738, 19, 8983, 357, 5726, 266, 1770, 836, 17, 289, 6498, 293, 266, 1960, 759, 273, 27571, 357, 457, 496, 288, 21356, 320, 620, 825, 398, 490, 497, 17, 357, 15094, 398, 1808, 339, 6637, 17, 7084, 2621, 2287, 19, 1979, 358, 2287, 341, 363, 17, 289, 762, 357, 2707, 556, 361, 2220, 10572, 348, 6789, 2827, 19, 2429, 890, 772, 807, 8983, 357, 14645, 701, 551, 17, 289, 1077, 263, 6869, 10571, 10628, 273, 4628, 17, 681, 347, 497, 2853, 825, 3020, 441, 347, 263, 15098, 19, 353, 1119, 70, 807, 767, 807, 8978, 263, 27809, 759, 814, 1979, 597, 266, 5638, 1080, 17, 289, 16406, 379, 417, 17, 289, 384, 2498, 22982, 824, 2808, 1006, 17, 266, 828, 5150, 2764, 363, 3241, 12300, 1551, 293, 23968, 17, 289, 397, 12, 10758, 4545, 363, 266, 1073, 289, 2877, 273, 266, 12055, 18, 8447, 94, 17, 369, 357, 2970, 1159, 288, 676, 293, 3865, 19, 1979, 263, 9021, 341, 363, 17, 350, 556, 7459, 9853, 17, 27677, 31812, 17, 8352, 17, 8701, 17, 289, 9779, 552, 17, 293, 266, 1135, 3958, 3225, 17, 289, 266, 2931, 17, 3620, 2361, 273, 3062, 1029, 406, 3930, 19, 370, 14823, 23373, 517, 3213, 1353, 3287, 397, 12, 10758, 4545, 601, 7998, 289, 507, 5859, 1851, 945, 288, 266, 6870, 354, 441, 407, 339, 676, 1654, 357, 2039, 340, 2516, 357, 5717, 1076, 9308, 293, 551, 2403, 17, 289, 729, 1066, 31423, 339, 537, 363, 681, 263, 692, 288, 266, 1432, 347, 266, 5955, 27809, 759, 374, 2823, 10865, 5336, 517, 17, 368, 266, 3069, 339, 5587, 457, 9962, 288, 556, 22910, 12538, 517, 7762, 19, 741, 772, 3062, 457, 496, 785, 31163, 340, 551, 10711, 3348, 347, 263, 5555, 18, 82, 443, 626, 288, 1298, 19, 2823, 10865, 5336, 517, 3587, 28647, 340, 266, 25878, 1027, 273, 3225, 13377, 350, 9478, 3375, 2872, 293, 263, 18758, 6194, 13655, 407, 551, 12358, 17, 289, 266, 5703, 10017, 288, 263, 976, 19077, 286, 273, 13973, 692, 2908, 505, 17, 289, 3062, 517, 8995, 30039, 419, 2604, 266, 4741, 273, 263, 1137, 601, 5955, 4251, 17, 2096, 2458, 7181, 347, 598, 269, 921, 279, 16761, 692, 18618, 343, 9647, 19, 531, 1298, 729, 1988, 2560, 5939, 293, 1962, 551, 407, 5816, 851, 17, 289, 339, 363, 793, 452, 19, 319, 3752, 347, 598, 399, 1003, 759, 288, 263, 3332, 2126, 12, 363, 29927, 343, 17, 289, 787, 289, 787, 729, 363, 13243, 288, 7788, 511, 17, 1654, 374, 1699, 6410, 17931, 339, 2316, 26511, 7907, 363, 288, 1922, 273, 263, 598, 25055, 27809, 759, 598, 343, 29412, 17, 3062, 1029, 406, 3930, 4821, 293, 266, 1542, 18, 3211, 17, 293, 1077, 10894, 17, 289, 17503, 293, 2885, 890, 266, 5541, 18, 2202, 4406, 17, 363, 7814, 288, 13501, 24274, 2331, 17, 594, 729, 17486, 266, 24546, 1806, 424, 426, 1906, 10438, 17, 289, 369, 475, 2271, 6900, 293, 5860, 266, 5511, 6123, 273, 3177, 2331, 293, 16860, 4417, 19, 8212, 3062, 807, 18716, 363, 598, 263, 1956, 4658, 598, 925, 369, 341, 363, 1847, 2510, 293, 959, 598, 1364, 3491, 15862, 1425, 598, 15066, 46, 10134, 38, 1425, 4842, 323, 1041, 1999, 4986, 48, 2889, 19, 598, 3755, 30891, 10134, 38, 525, 770, 397, 11980, 20647, 6491, 9723, 13826, 4902, 319, 10836, 1237, 18, 45, 5620, 490, 319, 9005, 403, 1060, 5267, 7341, 490, 2619, 42, 337, 24980, 12800, 22959, 397, 25072, 490, 770, 318, 10882, 9805, 1672, 490, 23444, 2409, 1500, 385, 3530, 490, 770, 21477, 27612, 25361, 22255, 5952, 6066, 397, 882, 46, 1607, 734, 319, 3551, 3871, 1980, 7542, 27612, 734, 770, 1713, 25951, 13845, 6047, 713, 19, 2362, 1962, 263, 3437, 8555, 584, 1699, 273, 676, 17, 1443, 288, 3201, 972, 368, 2368, 17, 331, 10931, 263, 11779, 273, 266, 3217, 273, 28299, 17, 293, 8288, 369, 424, 806, 1399, 347, 9175, 347, 2167, 293, 598, 27294, 265, 1601, 821, 598, 289, 384, 2139, 17, 5412, 2895, 1604, 85, 289, 3908, 374, 266, 4273, 273, 598, 30935, 4508, 765, 517, 598, 25756, 94, 354, 421, 4037, 17, 708, 10599, 17, 1021, 496, 266, 1341, 273, 10293, 266, 12380, 13285, 1071, 289, 266, 11229, 4530, 470, 25023, 293, 19612, 503, 407, 358, 498, 9950, 311, 1327, 17, 369, 263, 601, 1156, 15629, 557, 273, 31243, 16336, 597, 426, 728, 263, 9047, 19, 1456, 30935, 4508, 765, 517, 5838, 18, 3181, 621, 694, 426, 496, 3124, 374, 266, 302, 809, 273, 676, 363, 511, 273, 731, 598, 2400, 1972, 347, 357, 1116, 500, 17, 369, 357, 16661, 598, 3398, 1972, 289, 3227, 650, 266, 1343, 273, 384, 1021, 9014, 263, 2635, 273, 596, 25048, 288, 266, 2427, 340, 263, 3319, 273, 12921, 13272, 18, 24100, 17, 407, 369, 467, 457, 2970, 16623, 311, 17, 266, 316, 6718, 14275, 263, 8729, 17, 350, 497, 1934, 3069, 602, 339, 273, 263, 10197, 21302, 289, 511, 368, 667, 976, 27800, 4640, 293, 266, 31295, 19, 578, 363, 340, 266, 13501, 4550, 273, 29750, 505, 658, 598, 6699, 18977, 289, 695, 683, 598, 347, 467, 1452, 9752, 1110, 350, 266, 8783, 17, 339, 598, 30935, 4508, 765, 598, 363, 24438, 1384, 793, 288, 263, 12262, 1506, 2164, 17, 16597, 598, 263, 25756, 94, 1972, 594, 384, 2200, 363, 11410, 360, 358, 7026, 23011, 13285, 1071, 5450, 14395, 660, 374, 263, 785, 2605, 407, 266, 15275, 19, 908, 357, 781, 1076, 17, 598, 1162, 598, 88, 497, 15371, 340, 658, 4733, 17, 448, 312, 1353, 341, 601, 3807, 312, 942, 306, 6370, 17, 289, 3558, 456, 836, 289, 340, 456, 1654, 312, 2144, 614, 30366, 4005, 2325, 1834, 940, 273, 6355, 19, 578, 598, 88, 497, 23739, 339, 1496, 1431, 331, 83, 2235, 17, 1437, 18, 70, 18, 82, 723, 660, 374, 2138, 354, 289, 312, 942, 426, 496, 1111, 1916, 350, 266, 5838, 18, 3181, 621, 641, 341, 457, 83, 2235, 496, 343, 803, 1513, 2256, 490, 2997, 17, 2997, 17, 537, 598, 88, 11178, 288, 339, 3501, 577, 942, 1858, 358, 16934, 660, 273, 17, 289, 467, 10627, 2985, 293, 1077, 456, 70, 448, 1899, 456, 273, 503, 807, 598, 3090, 19851, 3829, 893, 348, 6789, 2827, 19, 620, 457, 12641, 293, 6412, 266, 667, 9304, 13285, 29158, 610, 384, 912, 16667, 354, 289, 2148, 1601, 821, 601, 1538, 6925, 1076, 17, 384, 2139, 17, 470, 363, 5795, 3559, 288, 384, 3655, 18, 6127, 2244, 657, 17, 1923, 500, 1072, 575, 17263, 794, 357, 1566, 6305, 293, 384, 8872, 19, 13549, 637, 11447, 31295, 331, 7128, 500, 650, 461, 5121, 17, 289, 25525, 3201, 14247, 18, 489, 18, 6127, 17, 288, 263, 3045, 10619, 517, 1477, 962, 266, 15275, 17, 424, 571, 10197, 263, 1156, 2946, 293, 1243, 575, 1565, 273, 598, 30935, 4508, 765, 1972, 289, 266, 6069, 360, 369, 357, 21250, 339, 2344, 23149 ]

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

[ 19, 20648, 289, 10345, 263, 3045, 10619, 17, 511, 273, 339, 12653, 3901, 350, 369, 637, 2138, 18, 10986, 31145, 17, 289, 407, 369, 1732, 3656, 517, 13027, 289, 266, 1973, 8868, 2403, 804, 9083, 461, 1498, 920, 17, 357, 363, 1633, 505, 407, 384, 601, 15143, 293, 1077, 266, 5838, 384, 24698, 17, 289, 266, 11196, 384, 2340, 19, 25229, 368, 2758, 17, 6637, 368, 21322, 17, 6642, 995, 17, 6642, 2363, 17, 350, 263, 28941, 3947, 384, 2406, 17, 289, 263, 1156, 16981, 273, 24156, 550, 805, 384, 1154, 17, 357, 363, 288, 384, 6376, 354, 289, 785, 2372, 357, 4072, 266, 1365, 2582, 273, 22222, 357, 363, 1563, 343, 266, 706, 26641, 273, 452, 17, 890, 3544, 731, 12653, 5234, 470, 1089, 293, 1326, 1073, 360, 1005, 266, 1874, 3740, 273, 461, 11709, 11648, 19, 2910, 558, 17, 347, 263, 4530, 17, 457, 357, 16297, 1307, 293, 1077, 505, 266, 9595, 273, 263, 1073, 19448, 594, 266, 14391, 1804, 475, 2287, 297, 350, 7608, 1129, 1050, 339, 1706, 17, 959, 938, 8182, 925, 369, 467, 597, 426, 293, 1077, 461, 1151, 293, 266, 10557, 17, 27318, 2138, 2719, 354, 289, 266, 920, 273, 27440, 1474, 17, 731, 16276, 273, 266, 1983, 17, 7647, 17, 350, 266, 12223, 1369, 434, 1165, 552, 273, 266, 7525, 17, 339, 598, 266, 3501, 363, 347, 18693, 347, 7777, 18, 92, 559, 17, 1347, 293, 266, 1551, 18, 12991, 1425, 1057, 27826, 273, 4172, 1538, 2171, 15536, 733, 17, 289, 384, 2255, 1440, 747, 488, 3290, 350, 503, 340, 384, 12380, 759, 288, 5185, 660, 374, 2138, 350, 263, 16667, 360, 497, 1341, 10580, 293, 15169, 266, 3063, 2738, 8481, 273, 266, 17138, 17, 368, 266, 4121, 9643, 369, 1340, 896, 3113, 505, 407, 266, 12637, 288, 263, 2298, 7681, 6249, 385, 3965, 19, 1057, 7354, 374, 1699, 6413, 293, 2544, 503, 288, 3524, 263, 300, 643, 1899, 273, 2895, 19988, 29867, 602, 266, 391, 16867, 357, 363, 7237, 293, 8225, 17, 289, 266, 1215, 1332, 297, 318, 548, 17, 273, 1309, 18, 75, 526, 4988, 17, 363, 266, 2336, 19, 1053, 266, 740, 1665, 339, 266, 1493, 1506, 19361, 20023, 3360, 19015, 384, 2406, 340, 263, 12554, 357, 825, 3293, 891, 384, 887, 17, 357, 598, 15066, 46, 10134, 38, 1425, 3188, 21250, 266, 302, 809, 24022, 360, 369, 916, 363, 2096, 3367, 19, 1057, 7354, 4141, 263, 2137, 339, 266, 8732, 597, 772, 306, 263, 21733, 557, 5749, 288, 384, 2934, 957, 17, 289, 5954, 339, 594, 341, 21146, 1733, 17, 289, 537, 363, 263, 4121, 14003, 340, 4026, 17, 341, 363, 828, 402, 346, 553, 2725, 293, 2320, 343, 266, 9234, 2842, 19, 598, 3116, 342, 1972, 3993, 266, 11229, 3501, 17, 1230, 357, 2070, 384, 8186, 925, 2359, 22145, 1335, 1423, 339, 266, 13993, 363, 890, 748, 22234, 407, 384, 10603, 490, 598, 3116, 342, 17, 7354, 807, 577, 598, 2071, 1066, 8730, 476, 7128, 567, 24736, 1110, 343, 4172, 17, 1654, 341, 3772, 340, 10584, 2414, 293, 6642, 819, 511, 273, 658, 8740, 4612, 660, 273, 567, 3822, 18, 4209, 807, 598, 1937, 339, 2653, 17, 289, 1280, 2096, 17, 357, 363, 1563, 360, 266, 448, 9196, 9642, 273, 30935, 4508, 765, 17, 289, 347, 681, 424, 25284, 2051, 357, 457, 1585, 7794, 384, 887, 2721, 1103, 19, 30366, 4005, 363, 1538, 4371, 6925, 293, 3171, 1551, 293, 384, 17192, 17, 289, 350, 384, 1559, 5935, 289, 3854, 777, 542, 279, 266, 3017, 273, 584, 1309, 3308, 7000, 407, 767, 357, 1116, 598, 263, 1927, 23898, 297, 1425, 14797, 17, 1055, 17, 340, 461, 1151, 2340, 17, 357, 7411, 1601, 821, 517, 1217, 17, 289, 350, 263, 10886, 288, 384, 2287, 490, 4396, 12580, 343, 503, 293, 16782, 490, 19022, 17, 598, 1601, 821, 17, 577, 598, 321, 266, 18137, 273, 266, 8720, 354, 577, 598, 321, 6747, 567, 1073, 17, 289, 312, 856, 1066, 6102, 341, 1425, 987, 413, 358, 1700, 8546, 2472, 1183, 1233, 525, 340, 266, 4384, 17, 368, 288, 263, 1776, 17, 1070, 597, 426, 496, 358, 4125, 343, 263, 1948, 22586, 793, 9056, 17, 18373, 17, 289, 6608, 7731, 354, 441, 398, 448, 288, 2298, 1073, 354, 424, 1363, 10197, 557, 602, 263, 6459, 293, 8787, 637, 19612, 407, 7256, 368, 5675, 17, 289, 424, 413, 448, 7669, 273, 692, 1353, 598, 10124, 10365, 1972, 339, 424, 1077, 890, 339, 6459, 347, 2368, 347, 2167, 19, 2316, 26511, 7907, 17, 1108, 17, 363, 263, 3213, 273, 263, 1441, 5800, 19, 1764, 363, 288, 263, 8045, 2782, 594, 551, 11454, 2970, 17, 289, 729, 2222, 266, 26962, 3044, 273, 2722, 8701, 17, 369, 266, 4530, 363, 5865, 293, 10077, 19, 28179, 360, 3678, 729, 6484, 407, 503, 266, 1079, 2353, 273, 384, 11229, 5834, 293, 4766, 30366, 4005, 17, 289, 266, 3276, 4780, 467, 1072, 457, 273, 12299, 297, 354, 289, 347, 1601, 821, 6624, 384, 804, 1491, 17, 289, 29412, 517, 2109, 11348, 818, 925, 551, 5897, 288, 7973, 273, 384, 5349, 1608, 17, 2316, 26511, 7907, 24926, 266, 5416, 5098, 343, 399, 4675, 561, 289, 2039, 836, 610, 1559, 18034, 1719, 19, 3174, 10572, 348, 6789, 2827, 19, 598, 13490, 476, 17, 2823, 17, 762, 24221, 733, 807, 598, 781, 266, 1818, 345, 1169, 17, 358, 2653, 368, 448, 2096, 17, 680, 5164, 551, 1154, 610, 266, 4961, 18, 5042, 17, 774, 29412, 289, 1601, 821, 475, 30818, 7294, 273, 461, 15107, 17, 1021, 1314, 551, 293, 598, 1962, 4447, 598, 490, 598, 1009, 12249, 10015, 331, 1110, 1070, 343, 263, 24431, 17, 289, 2823, 315, 10039, 476, 3914, 343, 503, 641, 729, 363, 83, 2235, 584, 13212, 344, 17, 289, 772, 729, 331, 83, 2235, 584, 1698, 19, 1979, 856, 312, 555, 320, 598, 598, 29085, 343, 503, 17, 312, 694, 1326, 1972, 781, 1601, 821, 17, 289, 16056, 16514, 263, 14703, 288, 20621, 273, 266, 8215, 17, 3361, 29412, 6110, 505, 18, 24629, 293, 22108, 517, 2434, 350, 263, 16226, 1347, 289, 358, 263, 5591, 919, 1913, 17, 681, 347, 1440, 1486, 8162, 88, 1111, 5063, 266, 7544, 424, 426, 293, 14437, 19, 370, 27700, 475, 3191, 1738, 2316, 26511, 7907, 517, 2845, 17, 289, 29412, 17, 21015, 341, 942, 668, 306, 511, 273, 266, 5542, 7609, 293, 369, 551, 2511, 363, 1094, 17, 1291, 500, 9073, 6876, 293, 959, 641, 729, 363, 14301, 19, 4968, 339, 1493, 17, 27423, 23351, 5933, 363, 12925, 374, 266, 2094, 31068, 340, 266, 2398, 517, 2361, 17, 289, 266, 4121, 4414, 22136, 13980, 657, 729, 2779, 293, 3277, 350, 681, 3108, 19, 598, 799, 22108, 17, 22108, 807, 598, 781, 729, 17, 9395, 551, 1154, 340, 266, 24408, 360, 551, 2511, 517, 1286, 17, 598, 767, 331, 341, 814, 312, 18735, 577, 293, 2150, 476, 807, 13490, 22108, 17, 767, 619, 424, 555, 293, 3228, 577, 320, 598, 2316, 26511, 7907, 3227, 551, 2109, 650, 551, 3071, 17, 441, 266, 10378, 475, 29028, 347, 1108, 407, 575, 3999, 340, 266, 4551, 17, 289, 729, 25023, 293, 2264, 4289, 288, 4117, 19, 29412, 17, 288, 358, 15788, 273, 2596, 17, 14140, 293, 266, 5416, 18, 23785, 17, 289, 1633, 399, 4675, 289, 1601, 821, 5746, 505, 3940, 1122, 12925, 602, 3913, 19, 1979, 825, 266, 3501, 555, 288, 263, 1083, 864, 421, 320, 1663, 266, 16764, 90, 9413, 273, 384, 1401, 17, 357, 1715, 384, 5051, 289, 14254, 293, 1009, 12249, 10015, 517, 1477, 350, 681, 5610, 347, 293, 805, 4212, 266, 14703, 357, 457, 4331, 16514, 354, 399, 4675, 363, 1308, 1110, 293, 19449, 505, 263, 28162, 273, 339, 14172, 7679, 17, 369, 457, 1527, 794, 496, 9218, 354, 289, 29412, 4179, 551, 1110, 288, 551, 2511, 517, 2434, 17, 293, 4470, 17, 289, 20358, 17, 289, 2469, 343, 266, 9288, 632, 17, 13500, 29806, 1579, 731, 1706, 27700, 19, 1764, 825, 2597, 2051, 341, 19, 531, 339, 601, 2434, 17, 398, 1532, 2475, 3326, 17, 729, 457, 9012, 279, 551, 2511, 517, 396, 16867, 17, 289, 4849, 279, 551, 887, 5563, 5364, 19, 3942, 341, 2779, 347, 641, 421, 457, 4098, 293, 598, 28764, 30891, 10134, 38, 1425, 3087, 575, 511, 3145, 490, 398, 293, 3913, 19, 1663, 266, 31290, 26473, 606, 8701, 1280, 536, 343, 10511, 17, 729, 5479, 266, 22353, 293, 29759, 18, 4197, 354, 729, 890, 16428, 266, 1335, 81, 18, 85, 12842, 339, 2038, 288, 461, 912, 12969, 7516, 354, 748, 729, 2039, 1110, 340, 551, 10958, 17, 289, 14697, 17, 347, 731, 2469, 470, 1627, 341, 331, 266, 998, 20393, 19, 1360, 729, 3920, 17, 263, 5547, 273, 17341, 2895, 8654, 551, 4589, 17, 441, 350, 618, 6075, 1566, 266, 9931, 273, 266, 10895, 9291, 490, 266, 8124, 339, 942, 306, 490, 293, 18, 2873, 17, 890, 354, 289, 266, 2583, 17, 12120, 3220, 17, 18509, 17, 878, 263, 2511, 19, 801, 266, 5609, 497, 2047, 288, 266, 5740, 1633, 312, 344, 1551, 293, 266, 919, 17, 289, 341, 2779, 3545, 339, 421, 694, 306, 266, 732, 1432, 4466, 369, 1654, 772, 729, 457, 2996, 1563, 584, 8265, 368, 17183, 19, 2667, 263, 25962, 2137, 23021, 805, 551, 339, 658, 8991, 1530, 76, 420, 654, 942, 306, 1605, 1178, 354, 339, 266, 8215, 597, 1340, 17, 289, 22108, 597, 1538, 306, 1698, 754, 289, 729, 597, 12999, 551, 17, 289, 1658, 551, 557, 289, 557, 17, 289, 1066, 306, 27255, 787, 354, 441, 288, 266, 6739, 17, 350, 263, 284, 711, 339, 1585, 7683, 551, 1347, 17, 757, 9755, 4488, 551, 266, 12504, 273, 551, 1846, 517, 1327, 490, 266, 29275, 17, 266, 7419, 17, 266, 4160, 3414, 9047, 17, 266, 18800, 12436, 17, 289, 762, 17, 288, 551, 912, 1956, 3643, 480, 17, 729, 457, 726, 18219, 22108, 517, 4277, 17, 289, 1353, 729, 457, 6747, 452, 17, 1712, 729, 457, 398, 2555, 551, 19, 741, 772, 17, 806, 421, 1340, 787, 573, 741, 597, 537, 306, 497, 2511, 293, 23870, 594, 341, 363, 805, 320, 29412, 3837, 17774, 16701, 19, 801, 280, 688, 807, 266, 3539, 5986, 12342, 17, 537, 331, 263, 9998, 17556, 707, 340, 266, 1062, 328, 17, 289, 729, 11609, 263, 1983, 8362, 273, 4910, 17, 347, 1108, 266, 8215, 2054, 266, 8719, 273, 1073, 289, 1327, 288, 384, 1804, 19, 399, 4675, 17, 288, 266, 15832, 17, 1488, 618, 6075, 363, 398, 3349, 1092, 3687, 288, 266, 4659, 273, 4790, 9646, 368, 3542, 17, 457, 496, 14084, 805, 266, 1477, 350, 551, 9868, 517, 19521, 288, 551, 1217, 17, 11818, 343, 339, 28162, 369, 729, 457, 3913, 1291, 360, 17, 398, 954, 1476, 794, 17, 441, 273, 369, 729, 457, 8114, 7794, 266, 25767, 18, 6564, 19, 16585, 17, 961, 18, 2347, 4661, 17, 17955, 960, 3634, 17, 475, 3227, 805, 289, 226, 89, 21963, 793, 288, 4117, 17, 1654, 374, 1699, 729, 306, 23589, 551, 273, 551, 9868, 517, 4525, 18, 9630, 80, 17, 289, 340, 4194, 339, 598, 88, 294, 322, 377, 1972, 660, 3237, 263, 2470, 288, 551, 3213, 517, 1217, 17, 369, 6705, 399, 4675, 3913, 374, 1527, 7714, 363, 5230, 343, 497, 3412, 19851, 3829, 893, 348, 6789, 2827, 19, 681, 2109, 347, 18716, 19, 1764, 7545, 263, 26082, 17, 1111, 17, 273, 551, 887, 1103, 1007, 556, 16113, 17, 289, 890, 288, 266, 14645, 289, 24080, 273, 266, 2385, 424, 413, 398, 3317, 293, 1080, 339, 4122, 10021, 825, 426, 16366, 266, 13489, 273, 598, 8122, 511, 28216, 1972, 441, 374, 339, 6345, 17, 598, 27294, 265, 1601, 821, 598, 289, 266, 8215, 475, 2247, 374, 266, 3539, 17, 289, 347, 399, 4675, 12355, 266, 11994, 12165, 610, 551, 8816, 17, 266, 1541, 3330, 266, 2434, 17, 289, 21051, 551, 2960, 311, 343, 515, 1693, 793, 3544, 30705, 26511, 7907, 517, 5324, 17, 594, 729, 2314, 293, 426, 496, 505, 647, 24629, 8774, 293, 3913, 19, 1009, 12249, 10015, 2707, 2316, 26511, 7907, 517, 6501, 17, 289, 3227, 293, 29412, 419, 9206, 363, 12917, 384, 6445, 347, 266, 21948, 710, 1518, 339, 273, 266, 9733, 863, 470, 13661, 384, 6011, 853, 350, 263, 2361, 407, 369, 341, 363, 3545, 293, 4634, 2137, 368, 2596, 19, 598, 5149, 22108, 806, 306, 2413, 601, 4447, 17, 2823, 29412, 1972, 781, 266, 8215, 17, 350, 1289, 384, 1493, 2139, 363, 263, 11705, 6136, 19, 598, 312, 806, 1536, 577, 452, 660, 441, 2316, 399, 4675 ]

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

[ 19, 312, 694, 864, 293, 1258, 1070, 343, 263, 1230, 293, 4470, 266, 1172, 273, 575, 5320, 312, 856, 1243, 551, 354, 441, 424, 1363, 426, 1111, 1156, 1233, 288, 266, 2434, 1425, 741, 293, 28563, 512, 421, 20289, 14451, 17, 357, 4510, 293, 266, 3539, 17, 374, 369, 1601, 821, 363, 24622, 350, 263, 1706, 17, 5888, 2361, 19, 598, 801, 2150, 476, 17, 2997, 8215, 1972, 15440, 6393, 29412, 17, 288, 358, 15788, 273, 29275, 17, 598, 1039, 352, 2150, 476, 17, 331, 537, 584, 3542, 36, 1304, 1561, 555, 551, 584, 828, 320, 598, 8212, 5933, 17, 1008, 577, 1280, 761, 263, 8215, 339, 597, 5152, 293, 681, 263, 1831, 320, 598, 987, 806, 1962, 551, 4447, 17, 567, 2997, 1972, 363, 452, 266, 2795, 729, 2975, 354, 289, 29412, 363, 5643, 293, 776, 1110, 18, 24629, 17, 749, 1092, 551, 544, 17, 289, 7061, 288, 12120, 26232, 17, 350, 551, 1217, 23870, 297, 27294, 265, 1601, 821, 517, 17, 289, 551, 2109, 3227, 293, 266, 14857, 17, 340, 369, 266, 4326, 2779, 293, 1699, 275, 610, 2475, 17, 3361, 1280, 289, 24105, 263, 17556, 707, 805, 4209, 2779, 293, 8694, 537, 597, 306, 575, 7294, 273, 266, 2398, 354, 1101, 497, 3539, 3907, 17, 497, 5243, 363, 2247, 650, 266, 14072, 19, 2152, 263, 1104, 1008, 266, 8756, 914, 9182, 17, 1108, 266, 4530, 5240, 374, 7706, 12520, 311, 288, 384, 5748, 19, 370, 6637, 17, 2710, 3225, 1983, 1275, 610, 266, 7178, 373, 2492, 273, 1761, 805, 266, 17138, 17, 266, 16687, 3025, 293, 583, 977, 310, 288, 266, 5740, 17, 289, 1135, 266, 8756, 914, 4179, 289, 11771, 17, 289, 1135, 13135, 1566, 19, 598, 28690, 46, 10134, 38, 1425, 3362, 1360, 266, 3539, 363, 6507, 17, 289, 12249, 10015, 363, 1314, 2271, 350, 384, 2398, 17, 263, 5206, 17, 11458, 7147, 4244, 23021, 805, 266, 4037, 8215, 517, 2361, 19, 620, 457, 785, 496, 266, 4247, 2139, 273, 2316, 26511, 7907, 17, 347, 791, 347, 598, 551, 887, 3000, 491, 14614, 289, 2148, 357, 597, 2099, 426, 2707, 341, 557, 457, 357, 398, 496, 1116, 288, 3672, 548, 17, 1101, 341, 363, 350, 263, 4121, 1347, 289, 263, 24274, 297, 11043, 339, 357, 12141, 293, 1076, 537, 363, 912, 368, 497, 2137, 19, 620, 457, 1291, 288, 2786, 452, 339, 6062, 289, 3138, 5954, 490, 357, 457, 1308, 343, 263, 2498, 7679, 273, 995, 3385, 24242, 17, 289, 772, 537, 363, 1561, 557, 293, 306, 1574, 4766, 293, 7061, 343, 266, 2336, 354, 448, 266, 1187, 18, 14708, 491, 4179, 1076, 1110, 288, 266, 5748, 29412, 457, 448, 4742, 4204, 17, 289, 13258, 1307, 805, 266, 817, 12317, 969, 17, 772, 864, 263, 7875, 17, 1317, 369, 357, 457, 1563, 339, 1073, 369, 288, 21573, 2845, 363, 1452, 14603, 1384, 660, 556, 1156, 5185, 18857, 19, 620, 7580, 551, 266, 12968, 17, 10670, 72, 6572, 279, 5933, 419, 274, 314, 357, 1353, 551, 2109, 20025, 602, 731, 273, 337, 14633, 12249, 10015, 14, 354, 357, 2144, 551, 787, 266, 23091, 11338, 17, 266, 828, 17229, 1926, 31505, 17, 266, 295, 5533, 2511, 17, 266, 398, 7740, 380, 530, 8055, 19, 578, 363, 668, 10002, 357, 18449, 293, 551, 340, 266, 27399, 17, 289, 1353, 762, 1493, 729, 3399, 350, 551, 5546, 18, 1086, 3071, 32, 357, 363, 293, 426, 19441, 350, 500, 293, 18, 9327, 32, 289, 266, 15738, 273, 1073, 3399, 503, 24842, 311, 288, 266, 2361, 19, 801, 266, 6032, 273, 3890, 1538, 1566, 293, 266, 19612, 17, 289, 266, 7773, 17050, 268, 14515, 384, 3332, 4589, 288, 384, 9063, 15875, 19, 741, 1278, 1009, 12249, 10015, 2070, 384, 24431, 490, 511, 8089, 273, 266, 7829, 8070, 17, 288, 369, 357, 457, 6413, 1076, 266, 3289, 9181, 10892, 289, 266, 660, 18, 1038, 18, 5213, 910, 647, 81, 4411, 617, 273, 709, 318, 2604, 265, 517, 19, 2316, 12249, 10015, 289, 266, 2065, 475, 29750, 505, 9693, 340, 266, 15275, 354, 384, 2498, 17, 1289, 357, 457, 398, 1359, 343, 1481, 969, 17, 363, 3565, 293, 5940, 354, 441, 266, 8215, 517, 676, 331, 266, 2992, 273, 266, 5876, 289, 266, 22204, 17, 289, 1135, 12249, 10015, 4179, 289, 11376, 289, 6261, 17, 289, 2144, 4931, 339, 2316, 26511, 7907, 806, 2514, 19, 370, 2475, 23021, 340, 17, 20270, 475, 1633, 610, 266, 4961, 5042, 17, 289, 266, 8756, 914, 4781, 288, 4117, 350, 985, 1553, 6470, 289, 436, 5385, 5350, 1994, 293, 426, 575, 6982, 19, 319, 5563, 374, 266, 3539, 18, 5986, 16596, 279, 266, 5666, 273, 266, 532, 8215, 17, 263, 8599, 491, 288, 263, 3506, 10572, 348, 6789, 2827, 19, 3190, 606, 20005, 17, 8484, 297, 273, 266, 1761, 18, 73, 911, 19, 29412, 6110, 660, 293, 1808, 503, 490, 341, 363, 263, 4910, 293, 555, 2922, 490, 289, 306, 480, 4764, 503, 23880, 505, 18, 24629, 19, 1764, 890, 23021, 610, 266, 4160, 2434, 17, 289, 7545, 263, 26082, 273, 551, 2511, 517, 3822, 17, 804, 11271, 289, 2769, 505, 354, 441, 266, 27700, 475, 1437, 5539, 17, 289, 729, 825, 398, 959, 266, 2997, 2361, 19, 12249, 10015, 8229, 6484, 551, 1718, 17, 289, 6507, 551, 660, 17, 441, 398, 794, 266, 19678, 5933, 457, 30075, 374, 263, 2094, 18, 336, 2991, 20662, 340, 266, 6611, 17, 289, 4160, 1275, 350, 266, 7750, 339, 341, 363, 726, 8372, 350, 1630, 19, 8041, 4147, 17, 266, 912, 1477, 16416, 363, 6632, 340, 266, 14072, 17, 17214, 347, 641, 551, 1347, 597, 3804, 19, 8212, 29412, 4179, 1110, 360, 551, 288, 266, 7211, 17, 289, 12621, 551, 5897, 350, 731, 273, 266, 13283, 5163, 19, 1764, 3025, 293, 2155, 13501, 772, 19, 2348, 263, 1230, 729, 2039, 1110, 787, 293, 27294, 265, 1601, 821, 17, 289, 363, 8042, 293, 1265, 341, 448, 1916, 354, 266, 14857, 4510, 293, 1924, 4326, 2722, 1481, 354, 289, 350, 13325, 1804, 729, 5539, 266, 7095, 17, 17905, 343, 358, 6345, 293, 266, 24630, 273, 266, 9479, 6039, 17, 350, 263, 4396, 17, 3235, 3591, 339, 467, 1066, 19720, 448, 794, 19, 2667, 729, 2769, 505, 598, 348, 1848, 1972, 470, 457, 496, 28087, 1384, 1280, 1712, 266, 9853, 475, 1633, 354, 441, 729, 457, 398, 266, 1347, 293, 9182, 263, 18683, 350, 27294, 265, 1601, 821, 354, 289, 339, 2042, 3501, 17, 10855, 263, 618, 6075, 339, 384, 2361, 306, 1436, 17, 363, 27571, 293, 21579, 805, 266, 3225, 2470, 17, 273, 369, 357, 363, 6325, 2557, 459, 1778, 374, 266, 22926, 10430, 19, 5929, 17, 537, 331, 263, 6391, 1226, 17, 289, 266, 667, 14351, 31421, 293, 1208, 2434, 293, 3704, 266, 2398, 517, 1083, 19, 2714, 331, 266, 23368, 2908, 360, 266, 3385, 1517, 1976, 471, 1163, 293, 266, 6238, 1298, 7679, 19, 1979, 1009, 12249, 10015, 5671, 490, 767, 1009, 12249, 10015, 781, 490, 767, 1009, 12249, 10015, 1353, 490, 475, 6723, 360, 266, 1541, 1280, 2096, 354, 1101, 825, 511, 426, 10480, 266, 22144, 273, 658, 667, 6009, 920, 17, 341, 942, 426, 496, 15346, 293, 4586, 762, 9063, 905, 4423, 4562, 1066, 1527, 1923, 1151, 293, 266, 9320, 2331, 273, 266, 2385, 490, 647, 11786, 266, 3890, 273, 25757, 17, 864, 339, 273, 18003, 17, 536, 556, 2258, 17, 556, 653, 24125, 17, 556, 9731, 17, 556, 4662, 1064, 17, 289, 556, 598, 9296, 273, 1218, 288, 864, 1334, 1425, 399, 4675, 363, 1314, 350, 266, 2398, 17, 289, 266, 17341, 1477, 16416, 3558, 3124, 293, 2544, 17, 266, 1671, 5496, 358, 7471, 273, 5877, 289, 8105, 17, 594, 1116, 650, 293, 970, 17, 369, 551, 11629, 340, 266, 598, 15066, 46, 10134, 38, 1425, 3540, 19646, 597, 2996, 426, 6413, 19, 4968, 399, 4675, 363, 1122, 757, 315, 3744, 602, 2875, 17, 772, 537, 363, 3293, 2922, 293, 306, 19678, 374, 19, 21978, 331, 1066, 1359, 293, 681, 2930, 347, 594, 15011, 266, 4160, 354, 266, 2287, 339, 516, 8123, 293, 959, 263, 7881, 515, 4859, 17, 266, 1217, 339, 9654, 591, 641, 537, 331, 441, 263, 30153, 288, 266, 2434, 17, 544, 14892, 498, 2027, 5228, 3360, 340, 266, 29416, 368, 266, 5782, 5164, 13077, 17, 544, 4215, 266, 19747, 878, 263, 23502, 17, 368, 4602, 266, 25962, 3599, 1338, 17, 8259, 360, 8259, 17, 610, 266, 9933, 3935, 13077, 17, 350, 266, 8163, 1594, 289, 9109, 273, 263, 6021, 13253, 19, 3347, 491, 350, 452, 384, 24796, 5877, 8589, 4160, 289, 3898, 17, 289, 4591, 1076, 6001, 602, 7830, 17, 2853, 11018, 31765, 266, 6333, 273, 551, 6907, 17, 339, 498, 717, 450, 5349, 1608, 17, 339, 16706, 8781, 17, 369, 331, 1280, 3124, 293, 2834, 289, 306, 1135, 19, 1199, 1089, 293, 426, 263, 7338, 3315, 288, 22762, 1036, 266, 284, 17136, 273, 266, 23957, 17, 289, 2782, 1461, 273, 266, 16736, 19, 13802, 374, 263, 12704, 1384, 31505, 17, 6452, 350, 263, 1035, 2126, 273, 2065, 17, 289, 3094, 571, 306, 266, 1984, 273, 266, 598, 29760, 23927, 362, 2854, 1972, 1055, 749, 357, 571, 702, 1921, 289, 702, 23712, 419, 665, 864, 263, 491, 23498, 374, 1021, 266, 516, 1463, 347, 1365, 347, 341, 544, 2083, 17, 729, 17, 288, 551, 1347, 273, 5285, 17, 7377, 22239, 819, 3289, 5666, 350, 266, 26492, 8936, 273, 598, 266, 557, 266, 1407, 8672, 15263, 289, 749, 347, 729, 12217, 500, 452, 17, 13139, 4985, 551, 27126, 6434, 340, 266, 998, 912, 31862, 1970, 563, 273, 708, 73, 586, 9265, 17, 369, 17, 340, 556, 740, 2304, 17, 331, 266, 706, 16736, 17, 347, 341, 331, 266, 1874, 13199, 17, 273, 5582, 517, 18268, 1036, 5834, 354, 3531, 17, 1847, 17, 729, 694, 887, 263, 17029, 17, 263, 29450, 310, 17, 368, 358, 29532, 3544, 551, 30561, 29902, 490, 748, 544, 339, 2042, 7164, 306, 266, 2511, 517, 1688, 410, 11859, 17, 748, 544, 2853, 517, 1658, 289, 2853, 517, 11065, 916, 334, 350, 2710, 13509, 1738, 266, 1154, 369, 1455, 1720, 2001, 293, 426, 777, 542, 279, 17, 289, 266, 2511, 544, 2499, 293, 551, 1347, 273, 5285, 266, 8399, 692, 339, 452, 3145, 413, 21805, 293, 17892, 289, 18044, 19, 1142, 288, 266, 4160, 18, 5042, 17, 594, 598, 27529, 289, 18037, 271, 1811, 266, 11043, 1972, 2853, 327, 4934, 266, 1102, 7159, 8544, 289, 415, 1056, 266, 13929, 1154, 19, 21978, 517, 1461, 690, 1799, 266, 785, 7608, 8603, 17, 289, 2853, 517, 7668, 31689, 266, 7175, 2653, 17, 594, 2137, 536, 3635, 551, 4846, 289, 8568, 1718, 19, 531, 2101, 864, 658, 729, 11018, 31765, 551, 10621, 18, 83, 1429, 17, 288, 8600, 864, 658, 729, 1948, 88, 339, 6598, 9778, 273, 369, 341, 1932, 2768, 10572, 348, 6789, 2827, 19, 293, 540, 729, 536, 263, 1934, 5033, 602, 266, 8413, 6907, 19, 370, 6633, 12364, 8231, 628, 5704, 537, 544, 306, 497, 3312, 288, 384, 2814, 24115, 354, 994, 540, 1362, 293, 4352, 17, 339, 266, 18203, 343, 540, 306, 398, 452, 266, 532, 1151, 19, 29412, 17084, 6325, 2557, 288, 266, 4961, 18, 5042, 17, 289, 7339, 266, 14351, 12, 22144, 331, 293, 306, 14678, 17, 289, 339, 341, 331, 6217, 293, 1962, 551, 448, 785, 407, 551, 22108, 19, 1601, 821, 13042, 1110, 266, 2470, 17, 289, 4961, 8229, 1843, 384, 10683, 17, 8383, 6333, 293, 10965, 575, 1156, 1758, 273, 14773, 17, 369, 2699, 273, 500, 1627, 293, 306, 273, 266, 8514, 5451, 19, 620, 536, 496, 6707, 339, 29044, 25217, 2314, 293, 306, 1308, 343, 17, 441, 357, 26517, 398, 9046, 557, 7145, 288, 384, 8139, 517, 1374, 360, 681, 263, 11022, 17, 289, 357, 1350, 13780, 263, 3189, 293, 384, 2139, 30366, 4005, 293, 13862, 341, 343, 503, 19, 29044, 25217, 17, 1698, 1563, 288, 266, 1432, 347, 5355, 18, 6921, 348, 6433, 17, 331, 2316, 26511, 7907, 517, 2498, 17, 289, 4792, 288, 266, 3465, 673, 9728, 490, 598, 357, 694, 306, 1308, 343, 2465, 17, 7339, 1601, 821, 17, 598, 376, 357, 331, 293, 959, 567, 15107, 7124, 1425, 29412, 331, 6675, 601, 12520, 17, 289, 7339, 729, 942, 1538, 776, 505, 18, 24629, 289, 959, 355, 1807, 807, 266, 2845, 5042, 3539, 13924, 490, 263, 2824, 17556, 707, 331, 2247, 340, 266, 14072, 490, 341, 331, 399, 4675, 5746, 1110, 343, 266, 14351, 490, 29412, 24186, 293, 266, 3539, 289, 19265, 88, 551, 340, 266, 13266, 18, 6564 ]

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

Datasets:

postgrammar
/

london-llm-1800

Historic London LLM Dataset (1800-1875)

Dataset Details

Usage

Citation

License