elricwan/roberta-data · Datasets at Hugging Face

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

[ 1336, 171, 3539, 40560, 58, 2139, 17487, 653, 3270, 74, 28, 1552, 17487, 653, 14636, 116, 653, 13922, 116, 1336, 203, 11086, 6610, 21, 770, 17487, 1336, 203, 9, 5, 1380, 9, 6610, 577, 116, 1336, 58, 5, 173, 2262, 7, 28, 9789, 8, 36408, 116, 1336, 203, 689, 74, 51, 236, 17487, 1336, 171, 7717, 10, 183, 531, 28, 422, 7, 3993, 106, 8, 49, 24780, 116, 1336, 171, 531, 28, 422, 7, 2324, 2195, 116, 1336, 222, 209, 3471, 3327, 5, 3278, 13, 6346, 388, 116, 20, 5274, 7, 70, 209, 1142, 6, 8, 7, 171, 643, 19, 61, 38, 40, 45, 31343, 5, 10746, 6, 58, 278, 7264, 30, 19503, 10847, 1438, 1120, 11, 10, 31930, 1827, 3149, 484, 4877, 7992, 131, 8, 215, 21, 5, 5145, 8611, 9, 5, 3278, 14, 5, 447, 1799, 58, 393, 5943, 30, 5, 236, 190, 9, 10, 2125, 9, 20535, 8869, 4, 50118, 50118, 1244, 1323, 3699, 6, 316, 1760, 3699, 6, 365, 9212, 38215, 35, 52, 33, 564, 73, 3818, 5457, 3135, 207, 1323, 3699, 6, 316, 73, 3818, 5457, 564, 207, 1760, 3699, 4, 50118, 50118, 9335, 6, 47, 581, 224, 6, 82, 32, 442, 2390, 8, 708, 11, 14, 9078, 131, 53, 99, 59, 5, 2190, 116, 20311, 75, 52, 120, 55, 2171, 47041, 172, 116, 5359, 4, 1398, 18, 5, 386, 9, 5, 2168, 9, 5, 497, 31533, 35, 50118, 50118, 14229, 5, 8463, 5, 6950, 56, 7408, 2156, 8, 77, 23, 65, 1021, 108, 17036, 5, 3316, 21, 13168, 2156, 5, 1104, 28890, 1487, 10, 6012, 4517, 8, 6, 5921, 2544, 154, 15, 5, 4460, 11751, 261, 2580, 6, 19061, 5, 32657, 19, 10, 27570, 19053, 4, 286, 130, 722, 5, 3835, 7, 6691, 26485, 23, 5, 276, 2635, 8, 18525, 26138, 4, 312, 12127, 7308, 21, 122, 17910, 6, 8, 70, 7893, 21, 27686, 479, 20, 43339, 6, 5, 36204, 8848, 6, 8, 5, 292, 10535, 56, 12836, 12578, 5, 35101, 6, 98, 14, 5, 1086, 6666, 1370, 21, 15450, 479, 2276, 5, 211, 8649, 10776, 17931, 479, 497, 130, 1021, 108, 17036, 5, 37355, 9, 6155, 1059, 7097, 7, 5, 2077, 6, 8, 6, 4634, 2035, 137, 5, 211, 8649, 1173, 737, 6, 5, 32657, 6, 19, 5, 8219, 9, 5, 6114, 28032, 6, 58, 22804, 2156, 8, 5, 1086, 1370, 6, 12483, 9285, 9, 908, 6, 122, 3319, 11, 65, 251, 516, 149, 5, 12827, 18080, 8, 24168, 6, 10375, 7, 9845, 2115, 10, 739, 31585, 61, 16042, 27002, 1906, 18, 992, 254, 15577, 31, 10, 4472, 9, 59, 10742, 1314, 4, 85, 21, 202, 2933, 2156, 8, 5, 34008, 14, 37540, 5, 211, 8649, 1173, 2205, 21, 3187, 129, 30, 5, 37355, 9, 5, 1183, 12, 23668, 4, 20, 7308, 21, 13960, 479, 85, 2551, 4703, 7, 679, 14, 55, 87, 564, 6, 151, 604, 58, 1227, 7, 1962, 2168, 23, 40853, 5, 4472, 9, 457, 10, 7245, 4, 3507, 5, 3316, 56, 45, 57, 542, 1741, 31597, 2156, 8, 5, 29798, 1467, 14, 49, 6587, 45572, 39623, 3804, 15, 5, 32467, 2445 ]

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

[ 13, 5, 662, 131, 286, 10, 150, 5, 31803, 21, 14308, 479, 497, 94, 6, 71, 99, 2551, 7, 171, 41, 3222, 4691, 868, 675, 6, 5, 8284, 909, 1825, 9, 5, 13290, 21, 3187, 30, 5, 78, 5921, 15912, 9, 5, 14131, 4, 24257, 13851, 5, 1109, 2307, 3651, 454, 6, 25, 10, 8870, 23416, 16, 2468, 62, 2156, 5, 15073, 6387, 409, 2156, 5, 17606, 23845, 11, 5, 34008, 1059, 26606, 2156, 8, 5, 1086, 1310, 21, 1487, 479, 50118, 50118, 698, 1323, 3699, 6, 379, 1760, 3699, 6, 8, 155, 9212, 38215, 35, 52, 214, 159, 7, 158, 73, 2517, 5457, 2491, 207, 1323, 3699, 4411, 379, 73, 2517, 5457, 4431, 207, 1760, 3699, 4, 50118, 50118, 2709, 277, 7728, 6, 259, 18, 16930, 18, 8194, 9, 5, 814, 23, 13292, 926, 7805, 967, 415, 14, 11630, 5, 14373, 15247, 35, 50118, 50118, 4993, 59, 41, 1946, 5, 6360, 7, 5, 3017, 7767, 880, 7, 1733, 8750, 254, 19, 5, 4198, 9, 5, 662, 8, 11, 5, 48118, 24115, 1109, 5, 1893, 2253, 2580, 115, 28, 450, 31250, 9097, 11, 131, 150, 639, 106, 552, 5, 516, 9, 5, 3980, 27922, 1104, 2415, 6, 6254, 22929, 868, 6, 880, 7, 29196, 479, 5348, 6304, 6204, 417, 11384, 877, 6, 21510, 36485, 10, 7207, 6187, 197, 28, 156, 2115, 123, 6, 122, 2740, 5, 1086, 1370, 7, 1413, 62, 8, 490, 668, 131, 8, 7264, 5632, 6, 11, 7207, 5709, 7, 5, 7308, 8, 41425, 6, 10, 7337, 7009, 1527, 856, 687, 1873, 1829, 880, 479, 85, 21, 1320, 7173, 479, 20, 8636, 18, 668, 856, 5895, 20093, 552, 10, 1810, 457, 12, 44467, 8, 2226, 15342, 19, 2388, 28131, 2126, 5483, 5, 10377, 314, 6, 61, 21, 28766, 19816, 4, 287, 5, 1109, 2782, 2156, 739, 3738, 9, 14487, 211, 8649, 10776, 58, 450, 11511, 131, 53, 5, 668, 21, 350, 2131, 2156, 8, 49, 3676, 21098, 58, 3276, 7, 483, 106, 444, 1684, 5, 3543, 9, 5, 5627, 4, 407, 1010, 25, 42, 21, 9568, 11384, 877, 2740, 10, 937, 3316, 131, 8, 5, 1086, 1370, 6, 1375, 23, 10, 6379, 2877, 159, 5, 16634, 24553, 6, 4024, 5, 8636, 149, 5, 3980, 88, 5, 2205, 59, 10, 7245, 8, 10, 457, 409, 4, 1398, 6, 1368, 23521, 561, 223, 49, 14482, 11169, 6, 231, 6, 151, 390, 8, 408, 58, 4786, 2156, 70, 9, 2661, 6, 19, 171, 10963, 9968, 39177, 6, 156, 8724, 9, 13446, 8, 7688, 13, 20222, 4, 20, 128, 1755, 3175, 668, 108, 21, 12020, 23, 457, 12, 33456, 411, 4, 1892, 6, 8, 45, 6612, 172, 6, 21, 24, 2967, 141, 3814, 5, 872, 9, 5, 211, 8649, 10776, 56, 57, 4, 85, 2551, 7, 5, 1024, 14, 6, 765, 25, 21, 5, 1186, 6, 5, 1683, 9, 11642, 668, 223, 215, 36010, 27670, 1274, 9, 1109, 115, 45, 33, 57, 182, 372, 4, 125, 5, 3738, 7992, 352, 12827, 11, 5, 24168, 58, 13618, 42925, 8457, 4, 96, 65, 980, 45, 203, 55, 87, 10, 1471, 9, 1314, 3925, 4477, 70 ]

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

[ 5, 144, 3395, 3676, 21098, 9, 5, 683, 444, 12, 23504, 211, 8649, 1173, 27838, 4, 20, 14373, 15247, 12044, 6, 40227, 30, 484, 6751, 6, 21, 13596, 1462, 15, 39, 14336, 33986, 131, 15, 39, 235, 4477, 4110, 12, 771, 625, 12, 31680, 257, 6, 15, 39, 314, 6916, 2337, 718, 4, 50118, 50118, 698, 1323, 3699, 6, 365, 1760, 3699, 6, 195, 9212, 38215, 8, 1122, 383, 4, 158, 73, 2481, 5457, 3170, 207, 9, 5, 7281, 196, 30756, 32, 3475, 30, 1323, 3699, 131, 365, 73, 2481, 5457, 3330, 207, 30, 1760, 3699, 4, 2374, 746, 13, 5, 7931, 9, 16930, 11, 42, 618, 35, 2248, 1323, 3699, 36, 3714, 20186, 3492, 1760, 3699, 36, 3170, 20186, 733, 9212, 38215, 36, 844, 23528, 50118, 50118, 100, 437, 45, 3640, 16442, 15229, 521, 7, 712, 49, 304, 9, 18718, 47041, 4, 252, 197, 3116, 2563, 6, 8, 905, 5, 47041, 1136, 147, 51, 189, 4, 125, 5, 18718, 2236, 2299, 782, 103, 357, 4729, 6, 114, 129, 566, 2410, 2948, 4, 50118, 50118, 32458, 52, 197, 386, 19, 10, 36912, 3569, 146, 12, 2137, 4, 166, 115, 860, 8119, 5, 2136, 18718, 19, 10, 3511, 352, 92, 9134, 31, 10, 15855, 2777, 6, 101, 5, 22, 11108, 24617, 2236, 845, 36, 43394, 25974, 10809, 15722, 48164, 47264, 46399, 46122, 47756, 2425, 22, 462, 5526, 15, 65, 18, 124, 131, 1224, 7237, 159, 131, 19312, 1297, 8, 21, 67, 2128, 341, 7, 9115, 7, 5, 18718, 2236, 9, 47041, 1592, 152, 429, 173, 480, 14791, 24617, 16, 10, 410, 7735, 6, 53, 89, 32, 5616, 18482, 5332, 19, 6605, 8, 39040, 636, 4, 1793, 52, 115, 860, 10, 1313, 12, 36381, 766, 716, 15, 5, 923, 9, 5, 18718, 11, 5650, 430, 106, 5183, 4502, 480, 113, 627, 29753, 47041, 113, 50, 22, 627, 5650, 2236, 845, 166, 115, 224, 6, 22, 3698, 106, 5183, 47041, 7, 3014, 5, 27229, 9, 110, 7122, 845, 1793, 6, 22, 1090, 2072, 8, 946, 110, 5360, 108, 1503, 19, 5, 5650, 2236, 845, 50118, 50118, 100, 437, 45, 182, 205, 23, 42, 14221, 265, 6, 98, 905, 18, 33, 10, 6340, 4344, 5, 44893, 3096, 4, 318, 47, 348, 300, 10, 372, 1114, 6, 905, 162, 216, 4, 20, 1924, 1516, 10, 76, 18, 6656, 7, 22205, 9359, 6, 10, 7370, 1787, 9, 30, 12, 3792, 338, 9354, 6, 8, 97, 3571, 10761, 4, 50118, 50118, 31195, 30, 1190, 16129, 397, 23, 830, 204, 6, 3503, 13470, 35, 3103, 3326, 2, 0, 133, 4614, 1454, 4648, 56, 63, 275, 186, 187, 1466, 6, 77, 24, 1458, 2219, 195, 4, 306, 135, 71, 270, 12, 6930, 807, 140, 17, 27, 29, 729, 1124, 4, 50118, 50118, 17, 48, 133, 1172, 9808, 420, 663, 197, 19175, 5, 169, 13, 629, 3114, 23, 258, 5, 1736, 8, 2365, 672, 4, 730, 17, 27, 29, 1154, 17043, 451, 40, 818, 7189, 352, 33, 5, 945, 7, 19668, 877, 103, 9, 63, 1093, 1055, 4582, 13, 10, 6473, 2861, 6, 17, 46, 5653, 13730, 6, 834, 210, 8154, 23 ]

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

[ 13042, 487, 3484, 6, 174, 17826, 4, 50118, 50118, 5320, 6368, 29229, 196, 71, 140, 17, 27, 29, 4904, 1124, 81, 5141, 2235, 6, 25, 867, 1687, 5, 801, 1795, 9, 1130, 168, 1408, 8, 540, 5746, 9, 613, 1048, 4, 50118, 50118, 133, 4614, 1367, 23, 41, 70, 12, 958, 239, 296, 150, 5, 208, 947, 510, 1764, 8, 4417, 5946, 58, 593, 7, 3970, 638, 5487, 13, 273, 4, 50118, 50118, 35028, 1048, 6, 25, 157, 25, 171, 2902, 9230, 6, 559, 1066, 6, 8, 5, 433, 6, 56, 421, 2235, 7, 339, 5, 5662, 4, 2, 0, 717, 13644, 33978, 6, 13277, 4, 480, 520, 4316, 878, 124, 5470, 1755, 11460, 314, 16562, 94, 2608, 71, 5614, 62, 15734, 6, 37, 1467, 37, 770, 7, 1930, 103, 86, 8623, 82, 11, 39, 301, 59, 39, 1485, 568, 4, 91, 421, 7, 1067, 19, 39, 284, 8, 964, 6, 320, 4316, 878, 7314, 704, 4587, 5925, 8, 103, 643, 54, 56, 12531, 123, 81, 5, 107, 4, 50118, 50118, 1708, 37, 399, 17, 27, 90, 1057, 7, 1798, 31, 92, 4316, 704, 14959, 255, 7165, 2013, 6, 54, 300, 7, 2894, 71, 144, 472, 56, 416, 314, 13, 2608, 1108, 4, 178, 37, 1819, 399, 17, 27, 90, 1057, 7, 1798, 31, 123, 11, 5, 1026, 9, 10, 184, 825, 6, 45, 7328, 5, 1980, 255, 7165, 2013, 21, 7909, 19, 193, 16521, 94, 719, 4, 50118, 50118, 17, 48, 243, 21, 10, 2755, 7, 162, 6, 17, 46, 11460, 26, 4, 44, 48, 7199, 10, 319, 9, 4055, 74, 109, 14, 19, 162, 145, 10, 233, 9, 5, 165, 416, 6, 53, 37, 439, 66, 9, 39, 169, 7, 311, 203, 37, 14534, 59, 39, 472, 4, 17, 46, 50118, 50118, 17485, 324, 255, 7165, 2013, 4719, 10, 1183, 2650, 2295, 15, 5470, 1755, 11460, 148, 10, 2428, 1524, 4, 5095, 5045, 73, 133, 10315, 12, 25351, 1241, 1480, 50118, 50118, 565, 7165, 2013, 770, 7, 905, 11460, 216, 480, 11, 5, 878, 124, 18, 1207, 929, 11, 16659, 6, 886, 480, 14, 37, 794, 123, 45, 129, 25, 10, 5918, 124, 54, 56, 2710, 9, 1735, 53, 25, 10, 869, 54, 115, 535, 7, 28, 505, 7, 5, 586, 480, 98, 203, 98, 14, 255, 7165, 2013, 74, 283, 160, 5, 9279, 5592, 77, 37, 416, 56, 10, 35501, 1280, 9, 86, 7, 1203, 10, 1380, 4, 50118, 50118, 17, 48, 243, 21, 205, 7, 120, 123, 198, 127, 284, 8, 1798, 99, 37, 56, 7, 224, 6, 17, 46, 11460, 26, 4, 44, 48, 725, 10852, 70, 5, 410, 1254, 8, 99, 37, 56, 1904, 13, 5, 499, 480, 8, 37, 34, 1432, 62, 15, 70, 14, 4, 91, 399, 17, 27, 90, 146, 143, 5343, 14, 38, 399, 17, 27, 90, 619, 101, 37, 17, 27, 417, 28, 441, 7, 489, 4, 17, 46, 50118, 50118, 3762, 9, 167, 5343, 21, 533, 59, 141, 203, 255, 7165, 2013, 421, 7, 5864, 15, 11460, 480, 274, 3297, 17, 27, 981, 2171, 24535, 567, 88, 220, 191, 36 ]

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

[ 306, 6, 27457, 1314, 43, 480, 148, 5, 193, 191, 4, 50118, 50118, 17, 48, 243, 17, 27, 29, 45, 12365, 646, 24770, 742, 88, 99, 38, 109, 6, 24, 17, 27, 29, 12365, 88, 99, 5470, 1755, 473, 6, 17, 46, 255, 7165, 2013, 26, 4, 44, 48, 170, 17, 27, 241, 45, 164, 7, 29036, 24, 50, 23936, 932, 4, 166, 17, 27, 241, 164, 7, 905, 5470, 1755, 28, 5470, 1755, 8, 310, 1011, 4, 17, 46, 50118, 50118, 2409, 11460, 399, 17, 27, 90, 33, 7, 356, 350, 1844, 88, 5, 375, 9, 255, 7165, 2013, 6, 10, 320, 6436, 12, 27657, 2525, 1003, 6, 7, 120, 41, 1114, 9, 141, 422, 12, 18888, 39, 507, 191, 23, 4316, 115, 28, 223, 255, 7165, 2013, 4, 50118, 50118, 3750, 382, 597, 6, 71, 26135, 88, 39, 44, 48, 534, 19509, 2565, 2970, 6, 17, 46, 255, 7165, 2013, 17, 27, 29, 165, 439, 31, 5614, 583, 5, 2576, 9, 5, 274, 3297, 11, 6404, 1314, 11, 1014, 8, 777, 7, 5614, 365, 212, 11, 570, 36, 246, 6, 22814, 1314, 43, 8, 1998, 11, 336, 36, 246, 6, 38139, 1314, 322, 83, 319, 9, 167, 6404, 1314, 58, 2446, 7, 1830, 2525, 3232, 10528, 20077, 6, 54, 669, 5, 9926, 11, 6404, 94, 191, 19, 112, 6, 30224, 1314, 4, 50118, 50118, 3908, 20077, 14156, 19601, 30, 878, 124, 1127, 10849, 6309, 6, 5, 9926, 27627, 4008, 15, 5, 422, 11, 2555, 310, 33485, 4, 252, 6022, 5, 1011, 15, 5659, 135, 9, 2555, 1974, 11, 336, 8, 5138, 135, 9, 1974, 11, 570, 4, 1590, 11460, 17, 27, 29, 756, 6, 5, 144, 5, 12219, 33, 655, 20139, 5, 6187, 21, 5356, 135, 148, 39, 7307, 191, 11, 570, 4, 50118, 50118, 11195, 6134, 9, 1530, 1819, 3559, 17, 27, 90, 685, 15, 11460, 4, 178, 357, 648, 6, 65, 9, 255, 7165, 2013, 17, 27, 29, 946, 13507, 31, 39, 382, 597, 813, 122, 11, 16562, 21, 1599, 859, 221, 757, 8293, 1054, 6, 54, 12531, 5, 9926, 17, 27, 878, 7314, 5, 375, 80, 2516, 4, 50118, 50118, 17, 48, 15852, 6021, 255, 7165, 2013, 259, 3639, 7, 5, 5863, 672, 6, 17, 46, 11460, 26, 4, 44, 48, 2409, 5, 813, 6, 1782, 54, 37, 1146, 11, 6, 817, 162, 619, 25, 114, 52, 64, 109, 380, 383, 4, 17, 46, 50118, 50118, 3762, 1049, 2249, 77, 33042, 255, 7165, 2013, 17, 27, 29, 4602, 2565, 2970, 7, 4316, 16, 14, 2525, 3289, 16532, 6, 54, 17, 27, 29, 421, 7, 7615, 39, 774, 25, 5, 6135, 6, 965, 17, 27, 90, 823, 25, 1830, 25, 20077, 4, 50118, 50118, 1121, 14, 6203, 6, 42, 165, 16, 444, 55, 101, 8607, 11, 5, 628, 3788, 29, 6, 77, 255, 7165, 2013, 12531, 878, 7314, 13, 5, 13966, 4, 91, 34, 416, 26, 14, 11460, 14236, 123, 10, 828, 9, 320, 8607, 124, 16102, 7965, 11567, 6, 54, 2771, 13, 55, 87, 155, 6, 151, 6404, 1314, 8, 3330, 5020, 11, 39, 507, 80, 2516 ]

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

[ 11, 21065, 18402, 4, 1590, 39, 949, 191, 6, 7965, 11567, 669, 5, 274, 3297, 11, 6404, 8, 351, 5, 1832, 677, 4461, 3683, 4, 50118, 50118, 565, 7165, 2013, 794, 14, 761, 9, 801, 11, 11460, 8, 5207, 37, 74, 671, 13, 10, 507, 213, 12, 3431, 4, 125, 11, 645, 7, 109, 14, 6, 255, 7165, 2013, 1467, 14, 95, 25, 37, 21, 66, 9279, 239, 334, 268, 13, 5, 499, 9, 5, 12219, 108, 586, 6, 37, 67, 74, 240, 7, 9584, 11460, 6, 54, 74, 28, 55, 505, 7, 5, 193, 499, 9, 42, 165, 87, 143, 97, 2125, 4, 2, 0, 27004, 1027, 11, 28034, 1766, 40281, 4662, 34, 303, 14, 604, 39396, 3845, 8, 43624, 10246, 55, 41291, 77, 36975, 1295, 7, 21942, 390, 4, 50118, 50118, 17, 48, 2522, 4139, 32, 5, 78, 7, 8085, 14, 604, 17, 27, 29, 43624, 10246, 3650, 8, 15229, 464, 11, 1263, 7, 10, 5808, 2182, 8931, 6, 17, 46, 5, 2634, 875, 11, 49, 892, 6, 61, 21, 1027, 11, 502, 4, 50118, 50118, 1121, 5, 892, 6, 5, 2634, 10543, 5, 86, 7, 43624, 11264, 6, 43624, 10246, 3149, 6, 8, 346, 9, 18408, 1848, 24663, 11, 733, 35262, 604, 227, 5, 4864, 9, 504, 8, 883, 107, 793, 54, 3996, 707, 5912, 16045, 3541, 81, 5, 768, 9, 379, 360, 4, 50118, 50118, 133, 604, 11, 5, 892, 3996, 411, 3541, 22311, 5, 276, 3390, 8, 2701, 6, 172, 3996, 10, 1122, 822, 19, 10, 92, 3390, 53, 5, 276, 2701, 4, 50118, 50118, 133, 2634, 303, 5, 86, 7, 43624, 11264, 20047, 227, 204, 8, 733, 728, 1374, 4, 345, 21, 117, 10870, 9762, 1683, 93, 3987, 7603, 5, 276, 693, 222, 45, 712, 50, 7280, 5, 86, 7, 43624, 11264, 4, 50118, 50118, 1708, 604, 222, 43624, 10246, 55, 1335, 77, 7603, 5, 3821, 822, 6, 61, 1165, 10, 92, 693, 4, 96, 1285, 6, 43624, 10246, 3149, 8, 746, 346, 9, 18408, 1848, 24663, 11, 5, 43624, 10246, 1130, 3625, 77, 7603, 5, 3821, 822, 4, 44, 48, 17762, 2622, 723, 1318, 43624, 15719, 77, 4924, 7, 5808, 6, 1195, 87, 2950, 6, 390, 6, 17, 46, 5, 2634, 875, 4, 50118, 50118, 1708, 596, 473, 43624, 10246, 3149, 8, 746, 346, 9, 18408, 1848, 24663, 712, 13, 5808, 390, 116, 4011, 54, 2592, 723, 1318, 24663, 13, 21942, 390, 189, 33, 41, 29832, 2093, 6, 5, 2634, 2002, 4, 20, 7280, 11, 5, 86, 7, 43624, 11264, 189, 146, 24, 3013, 13, 10, 5851, 5109, 7, 9212, 10246, 19, 277, 693, 396, 39, 1784, 2609, 66, 4, 50118, 50118, 1121, 1285, 6, 10795, 44, 48, 14656, 4402, 14705, 54, 3754, 55, 11, 43624, 15719, 7225, 7, 5808, 16856, 13, 80, 2188, 35, 36, 118, 43, 45442, 189, 33, 416, 18928, 1538, 5, 8380, 1640, 29, 43, 9, 36, 368, 33, 49, 24663, 10696, 30, 43, 16856, 19, 2661, 51, 33, 416, 475, 1070, 131, 8, 36, 4132, 43, 5808, 16856, 189, 28, 55, 533, 7, 33, 475, 1070, 682, 19, 277, 2943 ]

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

[ 5203, 11, 1130, 11801, 9, 24663, 1465, 6, 17, 46, 51, 875, 4, 2, 0, 250, 752, 1679, 34, 4159, 10, 1095, 15, 18021, 1635, 13, 82, 54, 2035, 11, 5, 382, 19, 8218, 13570, 53, 58, 5624, 15, 3555, 6, 511, 270, 807, 140, 17, 27, 29, 1031, 645, 7, 8463, 1504, 31, 707, 3346, 12, 19517, 749, 4, 50118, 50118, 133, 1095, 16, 129, 10, 9801, 1803, 7, 5, 5153, 1031, 645, 6, 19, 5, 1679, 8197, 765, 9, 10, 5153, 2255, 15, 63, 7255, 6948, 4, 12888, 6, 24, 21, 41, 419, 6, 1233, 4627, 7, 5, 92, 942, 4, 50118, 50118, 3048, 9651, 15, 25829, 25, 807, 140, 18, 1504, 2020, 4685, 7724, 8, 3246, 1163, 55, 50118, 50118, 38294, 87, 706, 722, 71, 80, 7780, 604, 58, 5624, 23, 610, 274, 5076, 3062, 11, 188, 469, 15, 378, 662, 6, 3052, 3921, 21080, 10917, 9, 5, 752, 1418, 461, 11, 6314, 2740, 41, 1923, 1095, 6, 8890, 5, 11661, 9, 143, 1736, 855, 145, 547, 11, 9651, 420, 5, 315, 532, 4, 50118, 50118, 17, 48, 100, 206, 5, 168, 2282, 17, 27, 90, 56, 10, 455, 778, 7, 206, 59, 42, 6, 17, 46, 21080, 10917, 174, 10, 6515, 12054, 4, 50118, 50118, 133, 470, 5280, 23362, 1332, 36, 2562, 39826, 43, 8, 97, 1134, 1658, 5, 2672, 656, 15, 378, 6, 4087, 5, 6848, 9, 5, 80, 7780, 604, 6, 19, 80, 55, 14334, 423, 355, 7, 5, 3235, 6, 54, 58, 258, 8218, 382, 2272, 12, 6940, 9758, 4, 125, 5, 1679, 17, 27, 29, 2255, 3112, 7, 70, 2172, 2114, 1122, 5458, 420, 5, 315, 532, 4, 50118, 50118, 133, 80, 33817, 6, 54, 1240, 722, 5624, 23, 29889, 6, 58, 289, 4344, 196, 20133, 5355, 1694, 4891, 6, 54, 56, 1006, 13, 5, 382, 168, 13, 10, 2202, 6, 8, 4936, 5326, 17754, 254, 15312, 16260, 298, 1627, 1343, 726, 1193, 9665, 6, 54, 2035, 11, 5, 247, 7, 1962, 39, 1141, 6, 10, 382, 9254, 4, 50118, 50118, 6766, 282, 10917, 6, 54, 21, 7076, 30, 320, 394, 4282, 1284, 6, 3447, 14, 5, 18021, 1635, 115, 1303, 5, 14334, 44, 48, 853, 241, 30788, 4798, 17, 46, 30, 3357, 106, 7, 749, 147, 51, 56, 57, 3711, 4, 264, 67, 1581, 14, 5, 14334, 1165, 8915, 12, 7509, 54, 56, 416, 57, 2033, 13, 3555, 7, 5, 382, 8, 54, 6, 129, 80, 360, 137, 6, 74, 33, 57, 905, 88, 5, 247, 396, 1160, 4, 50118, 50118, 17, 48, 12455, 6, 52, 17, 27, 241, 2778, 4343, 6, 17, 46, 5, 471, 9, 5, 18676, 6, 3173, 18968, 6, 174, 5, 8137, 4, 20, 1679, 6, 37, 26, 6, 44, 48, 2413, 34978, 1516, 5, 3585, 9, 5, 1031, 645, 8, 63, 913, 15, 2213, 114, 45, 1583, 9, 4175, 8, 4498, 17, 46, 4, 50118, 50118, 133, 1095, 6, 61, 11459, 5807, 6, 40, 94, 23, 513, 454, 10, 1576, 1768, 13, 733, 902, 6, 5, 1679, 26, 6, 8, 1171, 82, 15, 8218, 13570, 9, 70, 6134 ]

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

[ 8, 2272, 12, 6940, 9758, 4, 50118, 50118, 10462, 6, 24, 74, 129, 913, 167, 54, 58, 44, 48, 261, 470, 6613, 17, 46, 126, 39420, 167, 54, 56, 57, 1084, 12, 15801, 50, 56, 5932, 150, 5, 1031, 645, 21, 145, 1419, 30, 5, 394, 6, 18968, 26, 4, 50118, 50118, 894, 2319, 14, 89, 58, 23, 513, 727, 12, 2619, 82, 145, 547, 11, 9651, 420, 5, 247, 6, 53, 26, 5, 346, 115, 28, 723, 4, 5937, 30, 5, 1679, 7, 4559, 5, 346, 6, 168, 3969, 58, 3276, 7, 2519, 19, 2123, 4, 50118, 50118, 6766, 282, 10917, 2740, 5, 168, 7, 694, 10, 889, 9, 70, 82, 145, 547, 11, 4565, 9, 5, 645, 23, 382, 9651, 50, 11, 4871, 6, 7, 3246, 31, 5, 168, 3969, 4, 50118, 50118, 17, 48, 100, 218, 17, 27, 90, 206, 24, 17, 27, 29, 2432, 21347, 22915, 4399, 7, 120, 10, 889, 9, 2523, 6, 17, 46, 21080, 10917, 26, 4, 50118, 50118, 30951, 1694, 4891, 8, 726, 1193, 9665, 56, 258, 57, 703, 656, 15, 378, 6, 5, 382, 1921, 1474, 4, 635, 6, 18968, 17966, 14, 5355, 1694, 4891, 56, 57, 703, 44, 48, 415, 5, 14145, 9, 5, 1031, 6084, 17, 46, 4, 50118, 50118, 15243, 5, 1095, 6, 3969, 13, 5, 14334, 8, 2366, 26203, 7039, 1179, 3169, 1379, 13, 5, 19715, 9, 167, 4159, 10, 1095, 6, 25, 24, 21, 3924, 9159, 14, 51, 74, 28, 547, 11, 2447, 6848, 2644, 454, 49, 1576, 6, 130, 688, 409, 4, 50118, 50118, 4030, 469, 6519, 354, 12144, 30, 140, 18, 2020, 35, 128, 100, 619, 101, 4909, 34, 848, 162, 108, 1163, 55, 50118, 50118, 17, 48, 243, 17, 27, 29, 10, 251, 86, 13, 82, 7, 28, 2828, 11, 6848, 5228, 6, 17, 46, 18968, 26, 6, 1271, 14, 5, 18676, 74, 28, 4872, 5, 1274, 11, 167, 2644, 4, 50118, 50118, 28915, 12819, 4122, 6, 5, 1029, 12, 7295, 9, 16315, 6, 2858, 14, 39, 138, 74, 694, 44, 48, 3743, 2004, 7, 4498, 8, 1268, 45, 1220, 11, 5, 382, 17, 46, 8, 2528, 14, 1268, 11, 9047, 240, 9, 2004, 197, 1511, 123, 4, 50118, 50118, 40145, 21080, 10917, 2528, 5, 3969, 197, 671, 7, 461, 114, 5, 11774, 58, 7, 28, 2325, 11, 6848, 1195, 87, 28, 703, 4, 44, 48, 100, 4443, 38, 17, 27, 890, 95, 1798, 31, 47, 6, 17, 46, 79, 26, 4, 50118, 50118, 30541, 15, 378, 6, 270, 140, 17, 27, 29, 1031, 645, 6, 1419, 5, 183, 137, 6, 579, 9725, 7724, 11, 9651, 6, 6630, 6, 9053, 8, 1207, 5351, 11, 5, 382, 8, 5358, 6, 25, 82, 29298, 1329, 19, 5, 27247, 9, 63, 2128, 17606, 2777, 4, 50118, 50118, 39258, 268, 58, 2468, 160, 8449, 50, 5624, 23, 26191, 6, 6630, 2966, 23, 12, 10848, 521, 45, 7, 989, 5, 247, 50, 7, 2639, 1030, 2949, 8, 2903, 9863, 4841, 49, 1138, 31, 5358, 4, 15669, 362, 1519, 31, 28604, 2638, 1980, 54, 58, 3276, 7, 671, 7, 49, 1611 ]

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

[ 6, 19, 960, 31, 1677, 7, 10029, 2445, 147, 51, 314, 106, 4, 50118, 50118, 5771, 5, 2255, 851, 1034, 7, 167, 5624, 15, 382, 6613, 6, 2535, 9, 82, 198, 5, 232, 652, 9684, 5060, 4, 252, 680, 252, 680, 4256, 895, 726, 8467, 2001, 5186, 6, 54, 376, 7, 5, 382, 25, 10, 7220, 31, 3345, 519, 12990, 5, 2429, 9, 69, 1623, 6, 5, 6574, 9, 69, 790, 8, 5, 12311, 9, 69, 1150, 6, 21, 95, 688, 409, 31, 602, 69, 382, 8860, 1296, 4, 50118, 50118, 21518, 16, 6280, 3624, 6, 54, 34, 553, 5, 8137, 45, 7, 304, 39, 588, 766, 4, 91, 5601, 1533, 4840, 1912, 150, 33042, 13, 382, 3517, 148, 5, 997, 11, 3345, 4, 91, 34, 10, 3286, 3682, 31, 1184, 31, 16121, 14, 37, 189, 393, 120, 7, 304, 4, 50118, 50118, 44737, 71, 21080, 10917, 17, 27, 29, 2255, 6, 10, 752, 1679, 11, 2240, 4968, 5, 11661, 9, 18984, 145, 547, 23, 38776, 293, 758, 3062, 8, 2740, 503, 89, 7, 1157, 18984, 7, 972, 19, 49, 3969, 4, 3052, 9213, 324, 2265, 179, 1071, 1916, 17, 27, 29, 4667, 17817, 645, 6, 959, 6, 4953, 18021, 1635, 13, 95, 707, 360, 4, 50118, 50118, 1121, 277, 403, 11, 663, 194, 6, 752, 3052, 1813, 525, 10758, 2294, 5, 382, 168, 31, 263, 18311, 80, 82, 4, 83, 1576, 21, 278, 13, 155, 902, 13, 525, 10758, 44, 48, 560, 3094, 549, 7, 5258, 5, 1095, 17, 46, 4, 50118, 50118, 133, 1576, 11, 6314, 6, 600, 765, 6, 21, 16139, 8, 7911, 5, 78, 1800, 1030, 1539, 7, 41, 942, 61, 34, 2003, 241, 9970, 11907, 149, 63, 78, 186, 11, 476, 6, 9704, 10, 38256, 278, 9, 44, 48, 34170, 23371, 17, 46, 1797, 4, 50118, 50118, 133, 14975, 2877, 23, 61, 5, 1504, 2020, 21, 4777, 62, 21, 10798, 11, 5, 2883, 9, 5, 461, 4, 17090, 4561, 5, 168, 7899, 10, 699, 1762, 9, 335, 6, 29303, 5, 9655, 9, 1337, 168, 2244, 8, 503, 11, 5, 375, 706, 722, 6, 54, 56, 57, 9704, 5, 645, 2489, 3792, 38306, 352, 4, 50118, 50118, 17, 48, 22616, 33, 21365, 19, 215, 2078, 6, 14, 52, 2220, 17, 27, 90, 56, 86, 7, 1551, 5, 1030, 1068, 648, 6, 17, 46, 41, 1921, 4561, 5, 168, 26, 4, 50118, 50118, 42556, 196, 30, 5, 18676, 7, 5, 754, 14, 10, 3085, 693, 19, 10, 8218, 382, 2272, 1886, 56, 57, 5624, 2115, 5237, 88, 5, 315, 532, 8, 56, 57, 2325, 15, 10, 3286, 528, 7, 185, 160, 44, 48, 1644, 7, 1854, 17, 46, 624, 389, 728, 6, 5, 1679, 1410, 15682, 7, 1338, 69, 6427, 4, 50118, 50118, 37590, 354, 25532, 140, 1504, 2020, 14, 31389, 5954, 49, 544, 7, 730, 1163, 55, 50118, 50118, 17, 48, 40860, 89, 16, 951, 145, 342, 15, 10, 3286, 4, 653, 109, 47, 206, 59, 14, 116, 17, 46, 41, 3150, 8164, 21080, 10917, 553, 3969, 13, 5, 168, 4, 44, 48, 19085, 7, 1854, 4, 17 ]

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

[ 46, 264, 11224, 106, 617, 15, 549, 5, 168, 115, 492, 19820, 14, 5, 693, 74, 6297, 117, 44, 48, 853, 241, 30788, 4798, 17, 46, 2115, 69, 5237, 11, 1854, 4, 50118, 50118, 1708, 272, 354, 6658, 580, 5412, 6, 10, 168, 2470, 54, 1834, 7, 5, 1679, 30, 1028, 31, 663, 6, 1622, 6849, 14, 5, 168, 222, 45, 33, 7719, 335, 59, 5, 693, 50, 5, 4215, 9, 69, 6848, 4, 44, 48, 2409, 25, 110, 3712, 34, 2528, 6, 52, 70, 109, 2703, 943, 86, 7, 33, 55, 4905, 4, 17, 46, 50118, 50118, 17, 48, 8346, 14, 17, 27, 29, 2230, 596, 38, 17, 27, 119, 164, 7, 4470, 42, 1095, 6, 17, 46, 21080, 10917, 6849, 7, 30977, 1329, 20581, 11, 5, 929, 4, 20, 5247, 11465, 6, 61, 1165, 2366, 26203, 7039, 6, 3969, 8, 4225, 54, 56, 27115, 13957, 196, 149, 10, 2180, 9, 4800, 21122, 44, 48, 3084, 4157, 6, 117, 2490, 6, 4498, 32, 2814, 259, 17, 46, 6, 21, 174, 30, 5, 1679, 7, 9493, 11, 49, 31966, 8354, 4, 50118, 50118, 250, 2470, 19, 5, 18676, 423, 1474, 14, 382, 2447, 503, 58, 8201, 5, 3085, 693, 31, 5, 3286, 4, 50118, 50118, 29182, 6317, 82, 9010, 13, 5, 7035, 751, 5, 15695, 6, 1826, 2434, 8, 21122, 44, 48, 7939, 106, 213, 328, 17, 46, 8, 44, 48, 170, 679, 14, 52, 40, 339, 17, 46, 4, 520, 5, 7035, 21, 585, 7, 5, 2180, 540, 87, 41, 1946, 423, 6, 167, 4366, 11, 5, 10513, 2569, 11376, 11, 7337, 20581, 4, 50118, 50118, 46444, 3246, 58, 32451, 23, 55, 87, 10, 4039, 9651, 198, 5, 247, 4, 11503, 9, 82, 4366, 7, 8085, 23, 5076, 3062, 11, 188, 469, 8, 5, 758, 9507, 11, 1287, 1422, 6, 764, 2659, 6, 2499, 6, 3378, 8, 97, 1947, 147, 82, 58, 5624, 8, 1232, 8254, 4427, 4, 16210, 2447, 3969, 58, 67, 23, 9651, 6, 1839, 49, 518, 1759, 12, 12573, 139, 7, 167, 5624, 4, 50118, 50118, 8665, 2207, 30, 8153, 22277, 7043, 4, 2, 0, 495, 28828, 229, 3964, 179, 1725, 6990, 13, 17975, 9, 18886, 11518, 2834, 2578, 259, 13, 55, 8574, 8, 569, 491, 24677, 31, 14047, 13, 15376, 39981, 1621, 3546, 1133, 2266, 13841, 14479, 20878, 13355, 6, 22248, 12499, 870, 22421, 3655, 12087, 1133, 2266, 27418, 188, 10372, 1557, 11518, 12499, 480, 37591, 1557, 39347, 35, 38708, 6, 25488, 111, 14969, 1954, 7406, 36, 27674, 500, 4325, 4, 175, 43, 12087, 1133, 2266, 38655, 2235, 6, 6817, 30508, 5438, 13996, 6457, 17547, 14194, 35, 3191, 4, 33225, 207, 36206, 6, 7406, 12440, 196, 14479, 4125, 5992, 35, 2631, 4, 466, 3669, 207, 14507, 2990, 1284, 6, 6817, 30508, 5438, 13996, 6457, 17547, 14194, 35, 2491, 4, 31573, 207, 33382, 6, 7406, 12440, 196, 14479, 4125, 5992, 35, 2843, 4, 39372, 207, 46100, 1954, 7406, 35, 36206, 35, 204, 4, 38139, 207, 36, 1558, 6, 29156, 2834, 43, 33382, 35, 111, 176, 4, 31335, 207, 15611, 401, 6, 33287, 2834, 43, 27418, 188, 10372, 1172 ]

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

[ 11518, 12499, 480, 37591, 1172, 39347, 35, 34962, 6, 34890, 14969, 1954, 7406, 36, 27674, 500, 4325, 4, 175, 43, 12087, 1133, 2266, 448, 2582, 11896, 6, 6817, 30508, 5438, 13996, 6457, 17547, 14194, 35, 2357, 4, 36754, 207, 47550, 6, 7406, 12440, 196, 14479, 4125, 5992, 35, 564, 4, 37932, 207, 27674, 1206, 6, 6817, 30508, 5438, 13996, 6457, 17547, 14194, 35, 262, 4, 18616, 207, 12083, 6, 7406, 12440, 196, 14479, 4125, 5992, 35, 361, 4, 28730, 207, 46100, 1954, 7406, 4832, 47550, 35, 262, 4, 39642, 207, 36, 1360, 6, 466, 3761, 2834, 43, 12083, 35, 111, 176, 4, 17729, 207, 15611, 306, 6, 2831, 134, 2834, 43, 28812, 35, 22, 10993, 11, 5, 1226, 113, 36, 5632, 2365, 4875, 3556, 900, 10581, 43, 870, 8239, 255, 15919, 13470, 1133, 2266, 7694, 207, 9, 188, 10372, 10527, 32, 11590, 11, 3556, 30, 10, 940, 12772, 1440, 6817, 30508, 7713, 5778, 36, 8310, 684, 25, 22, 35132, 906, 18653, 20, 1727, 422, 15, 209, 6271, 32, 30825, 30, 65, 138, 6, 226, 6391, 11823, 6, 716, 11, 28190, 257, 225, 6, 8981, 4, 166, 216, 1085, 59, 5, 82, 8326, 209, 6271, 6, 8, 52, 216, 190, 540, 59, 226, 6391, 11823, 4, 166, 216, 190, 540, 59, 5, 3556, 900, 10581, 2257, 341, 7, 12207, 10246, 7694, 207, 9, 84, 10527, 4, 646, 4250, 67, 5289, 534, 18, 37223, 4482, 8, 3216, 6, 16603, 37051, 339, 328, 21838, 6715, 556, 42, 2935, 7, 1268, 47, 206, 429, 28, 2509, 4, 2246, 54, 1017, 101, 7, 28, 355, 7, 5, 21794, 889, 64, 1203, 62, 35, 2054, 640, 1401, 4, 4308, 405, 7354, 4, 1957, 29064, 10936, 36037, 1215, 3998, 571, 4, 6715, 3116, 7, 35, 1203, 658, 1039, 4308, 405, 7354, 4, 1957, 13, 15099, 4, 7454, 534, 21794, 4474, 35, 22421, 3655, 6, 4827, 4, 1894, 3705, 2266, 6, 14047, 286, 15376, 39981, 1621, 39110, 404, 659, 1875, 4, 5289, 534, 18147, 8, 8381, 16, 988, 44600, 225, 22964, 6, 4129, 4, 495, 4, 34543, 35, 1308, 569, 15, 42, 948, 35, 2, 0, 18801, 20083, 16, 30604, 15, 110, 2187, 2454, 3747, 40267, 31, 6484, 5729, 745, 6277, 50118, 50118, 3750, 513, 733, 82, 33, 962, 8, 733, 643, 33, 57, 8262, 71, 10, 745, 6277, 11, 5729, 4, 50118, 50118, 500, 10338, 19110, 224, 51, 40, 489, 546, 13, 7149, 149, 5, 363, 4, 83, 411, 12, 8005, 219, 745, 21753, 81, 11, 666, 18, 613, 812, 15, 296, 4, 50118, 50118, 133, 745, 11, 5, 32274, 18269, 163, 21150, 118, 163, 26496, 443, 21, 2047, 7, 28, 59, 727, 107, 793, 4, 50118, 50118, 36376, 922, 5332, 6, 668, 8186, 8, 453, 9, 5, 4463, 3500, 1370, 32, 202, 447, 23, 5, 1082, 4, 50118, 50118, 448, 26772, 16, 7979, 31, 2016, 10863, 8, 5681, 4, 50118, 50118, 133, 4860, 745, 851, 169, 198, 12112, 35, 1749, 666, 86, 646, 3933, 35, 698, 5050, 7479, 690, 26, 4, 50118, 50118, 8532, 3747, 8387, 922, 5332, 6, 668, 8186, 8, 453, 9, 5, 4463, 3500, 1370 ]

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

[ 32, 447, 23, 5, 1082, 50118, 50118, 108, 18522, 1318, 2004, 11, 765, 1787, 108, 50118, 50118, 27526, 260, 267, 1113, 255, 2753, 1512, 6, 3295, 491, 5729, 50118, 50118, 713, 16, 5, 371, 745, 6277, 11, 5729, 11, 540, 87, 10, 353, 4, 522, 1985, 14, 294, 18, 23489, 2617, 1895, 12434, 5, 3184, 9, 5, 745, 14, 7793, 4, 50118, 50118, 18259, 14, 18, 5401, 50, 45, 6, 1142, 32, 533, 7, 28, 553, 59, 596, 98, 171, 1196, 9, 42, 1197, 343, 32, 1220, 7, 213, 15, 1207, 11, 793, 8, 14632, 1115, 31965, 3611, 4, 50118, 50118, 44720, 850, 8, 5956, 11, 5729, 32, 566, 5, 1609, 11, 1817, 4, 50118, 50118, 18522, 1318, 2004, 16, 11, 765, 1787, 8, 98, 82, 33, 117, 2031, 53, 7, 697, 11, 2849, 12, 21993, 8, 11138, 3413, 4, 50118, 50118, 713, 1989, 745, 21, 8735, 13, 19396, 53, 82, 58, 2563, 202, 1207, 1025, 24, 190, 600, 24, 21, 59, 727, 107, 793, 4, 50118, 50118, 448, 46951, 337, 1247, 224, 51, 33, 4425, 62, 1170, 7, 15013, 2702, 3413, 8, 24479, 1173, 106, 4, 16975, 14, 965, 75, 2909, 1769, 615, 4, 50118, 50118, 37500, 9960, 32, 45, 18186, 11, 666, 6, 1605, 148, 5, 6154, 16752, 191, 4, 11253, 1663, 2820, 8, 14632, 1115, 32090, 32, 747, 7, 4887, 4, 50118, 50118, 7682, 76, 6, 4295, 9, 82, 32, 848, 11, 745, 33947, 420, 666, 4, 50118, 50118, 970, 33, 57, 130, 11, 5729, 11, 5, 375, 353, 4, 96, 550, 6, 601, 82, 58, 848, 77, 10, 237, 12, 8005, 219, 745, 7793, 11, 5, 11906, 9, 272, 8849, 330, 1517, 271, 4, 50118, 50118, 13755, 47, 11, 5, 443, 116, 1702, 110, 3493, 6, 569, 8, 27541, 1652, 30, 1047, 154, 33, 219, 5634, 857, 1039, 14141, 438, 4, 876, 4, 1350, 4, 50118, 50118, 6715, 680, 10, 1511, 346, 114, 47, 32, 2882, 7, 1994, 7, 10, 3295, 5226, 4, 370, 64, 67, 1511, 201, 11, 5, 511, 1319, 35, 2, 0, 44394, 3863, 661, 10747, 16, 65, 9, 171, 7, 33, 3162, 92, 6, 3159, 50, 393, 12, 23033, 12, 24196, 173, 4, 13489, 35, 44242, 359, 31061, 50118, 50118, 1620, 5886, 8, 25, 2016, 25, 41, 793, 284, 11005, 6, 44242, 359, 31061, 35, 10692, 12, 25496, 10426, 9, 28729, 41453, 154, 6, 28018, 6, 8, 26237, 36338, 29, 16, 5, 7017, 4085, 13, 5, 19453, 2378, 126, 8, 197, 117, 65, 593, 7, 47, 28, 4453, 9, 602, 10, 11602, 6, 47, 197, 1622, 213, 1359, 66, 8, 146, 10, 1455, 9, 24, 7, 2512, 4, 286, 42, 262, 5067, 12, 8596, 4821, 9, 5, 1563, 10710, 9, 5, 232, 17, 27, 29, 275, 15800, 1952, 16, 542, 17745, 868, 4, 10024, 1560, 833, 6, 12813, 1547, 6, 12893, 811, 7736, 7387, 6, 1560, 272, 34860, 6, 3028, 2893, 1722, 293, 6, 1573, 24539, 6, 2101, 208, 20469, 8, 3292, 29509, 397, 33, 70, 3162, 92, 6, 3159, 50, 393, 12, 24196, 12, 23033, 173, 36, 31636, 171, 643, 322, 85, 67 ]

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

[ 5342, 22382, 5641, 19, 22397, 9065, 6, 6398, 179, 4473, 8457, 6, 5533, 8, 27616, 35, 10488, 497, 1845, 11, 8249, 9, 5105, 10841, 261, 131, 41, 9819, 9, 255, 7067, 344, 26277, 30, 24455, 289, 594, 118, 131, 13956, 6119, 7500, 8638, 15, 141, 37, 2967, 5, 23514, 10747, 4, 16923, 6, 99, 55, 115, 47, 236, 116, 50118, 50118, 495, 947, 1864, 6, 61, 21, 4790, 30, 1573, 7730, 366, 11, 4525, 6, 23, 78, 3956, 7, 6008, 11, 5, 652, 9, 5, 5859, 10518, 14, 19453, 58, 2260, 59, 32254, 4, 125, 519, 3741, 1545, 15, 2968, 5858, 5846, 13, 55, 87, 10, 2202, 6, 24, 6017, 303, 1495, 5793, 5, 4605, 9, 773, 11, 11267, 19405, 14, 1432, 258, 5, 1569, 38232, 9, 3028, 2893, 1722, 293, 17, 27, 29, 19942, 623, 8, 1127, 267, 1728, 8918, 8645, 118, 17, 27, 29, 42447, 642, 25628, 8, 5, 20129, 1282, 9, 1573, 24539, 17, 27, 29, 5905, 2812, 27294, 35, 20, 5900, 990, 10927, 15, 3875, 36, 20547, 9, 5, 8137, 78, 1040, 2354, 11, 5155, 322, 50118, 50118, 11321, 172, 6, 24, 34, 1613, 31, 2707, 7, 2707, 4, 96, 4013, 6, 24, 1027, 7625, 35, 83, 23635, 11, 369, 1101, 6, 10, 18910, 1504, 10149, 30, 6959, 3011, 20491, 14, 439, 15, 7, 1331, 654, 6, 151, 11288, 4, 96, 3010, 6, 24, 56, 5, 5500, 1114, 9, 2057, 561, 70, 255, 7067, 344, 26277, 17, 27, 29, 256, 11691, 179, 22395, 36, 405, 34, 187, 1027, 1117, 7267, 9, 106, 322, 96, 1466, 6, 5105, 10841, 261, 17, 27, 29, 289, 3994, 328, 83, 38840, 6618, 3776, 292, 377, 15, 5, 188, 469, 1513, 275, 25577, 889, 4, 404, 209, 29680, 6, 8, 4295, 55, 6, 32, 5417, 11, 44242, 359, 31061, 35, 10692, 12, 25496, 10426, 1174, 50118, 50118, 18064, 599, 6577, 2101, 2150, 6, 44, 711, 627, 10360, 12, 6298, 8453, 9, 23599, 17, 27, 4, 13489, 35, 44242, 359, 31061, 50118, 50118, 1185, 619, 10, 828, 821, 25196, 3408, 5, 1040, 17, 27, 29, 6052, 4, 345, 17, 27, 29, 402, 98, 9256, 59, 24, 6, 8, 98, 7368, 6, 10, 20100, 2274, 31, 65, 9, 1573, 24539, 17, 27, 29, 15923, 17788, 1311, 169, 7, 5, 7782, 514, 9119, 5634, 9, 5, 11731, 15800, 661, 5811, 8797, 1648, 29, 131, 10, 455, 7705, 527, 30, 5, 10995, 12445, 5918, 3465, 3025, 18825, 257, 10274, 260, 511, 543, 15, 5, 8872, 9, 10, 6154, 4306, 20169, 9572, 30, 2101, 2150, 36, 100, 524, 11213, 7, 5, 17672, 3153, 33961, 2150, 6, 5, 10360, 12, 6298, 8453, 9, 23599, 322, 50118, 50118, 23029, 25958, 11247, 6, 211, 947, 1864, 17, 27, 29, 14531, 21660, 285, 661, 6, 9838, 5, 7753, 45750, 16, 10, 3392, 47, 7, 5, 55, 87, 654, 15800, 1952, 1060, 6563, 11, 5, 10710, 393, 4605, 2050, 159, 5, 107, 4, 178, 2532, 24, 16, 4, 125, 24, 17, 27, 29, 269, 201, 36, 463, 106, 43, 54, 197, 28, 22787, 211, 947, 1864, 4, 20, 138, 6, 460, 20752, 1065 ]

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

[ 63, 2408, 6, 34, 1147, 7, 464, 5, 5252, 9, 19453, 8, 190, 9, 10467, 1495, 6, 13, 99, 1403, 12, 27387, 154, 17205, 889, 473, 45, 122, 680, 5, 8372, 11267, 5808, 116, 36, 495, 947, 1864, 1088, 63, 78, 987, 659, 7, 4167, 6268, 11, 4013, 1592, 152, 6730, 74, 1153, 45, 5152, 58, 24, 45, 13, 63, 8964, 6, 63, 36, 179, 5, 1049, 43, 30517, 205, 5840, 4, 50118, 50118, 37703, 12, 25496, 10426, 9, 28729, 41453, 154, 16, 1027, 30, 44242, 359, 31061, 11888, 541, 322, 2578, 259, 7, 645, 10, 5375, 13, 984, 1978, 2, 0, 133, 796, 1463, 2215, 141, 505, 19499, 32, 35, 96, 1466, 6, 24, 1595, 10, 80, 12, 180, 25618, 15, 10, 1380, 9, 25393, 802, 7, 28, 23373, 5, 2991, 9, 720, 19417, 9883, 4, 20, 8321, 6, 6441, 3218, 2528, 6, 115, 28, 8216, 7, 21878, 6277, 8364, 6, 50, 230, 11579, 6, 5, 29703, 14, 18, 283, 7, 9914, 5, 21111, 8, 12754, 12939, 6, 6590, 4427, 6, 9, 1445, 1368, 3699, 4, 2306, 5, 375, 411, 107, 6, 5, 121, 4, 104, 4, 34, 685, 59, 68, 176, 325, 11, 215, 1368, 3699, 8, 6, 25, 10, 898, 6, 68, 541, 325, 11, 9774, 6, 7, 230, 11579, 4, 50118, 50118, 133, 4456, 517, 6, 9, 768, 6, 965, 75, 615, 7, 1871, 5, 19499, 6, 53, 24, 18, 10, 386, 4, 20, 121, 4, 104, 482, 1135, 17790, 10, 44, 48, 42290, 278, 9, 3992, 994, 8, 35904, 6, 17, 46, 217, 5951, 1001, 25666, 13764, 6, 25, 801, 17685, 29, 11, 5, 1597, 12, 10816, 6, 34, 648, 109, 932, 4, 96, 494, 1014, 6, 10, 333, 9, 19417, 15214, 8, 3039, 1134, 8124, 5, 6865, 13, 63, 2988, 7, 1744, 5, 20289, 6, 8, 6, 30, 5064, 6, 84, 689, 1787, 4, 20, 1218, 6, 959, 6, 26, 24, 351, 75, 1498, 63, 1551, 9, 5, 25393, 454, 199, 4, 50118, 50118, 41187, 35, 50118, 50118, 1708, 5, 936, 965, 75, 1804, 7, 25393, 6, 161, 4475, 272, 5156, 1478, 6, 8, 24, 18, 45, 95, 10658, 41304, 14, 32, 2157, 5, 3992, 4, 345, 32, 55, 87, 291, 6, 151, 4707, 9, 19499, 11, 5, 232, 6, 8, 14294, 872, 8, 2199, 6, 11, 1285, 7, 25393, 6, 32, 5608, 106, 70, 480, 45, 7, 4521, 5, 97, 20289, 14, 32, 533, 145, 2132, 6, 50, 5, 2514, 4707, 14, 5864, 15, 167, 4707, 13, 689, 4, 50118, 50118, 250, 3097, 9, 18004, 23, 5, 589, 9, 11799, 8, 3787, 9, 5, 163, 15373, 14650, 12978, 3101, 6, 272, 5156, 1478, 16, 5, 2730, 9, 55, 87, 1878, 6441, 3218, 15, 19499, 8, 97, 20289, 8, 6, 144, 682, 6, 9, 22, 250, 29157, 11, 5, 21802, 60, 61, 24600, 20846, 39, 15353, 31621, 19, 741, 15373, 41304, 8, 5, 9794, 7, 6693, 1250, 49, 2991, 4, 22, 100, 206, 24, 17, 27, 29, 699, 14, 5, 232, 127, 408, 1733, 62, 11, 16, 164, 7, 28, 10, 22555, 317, 87, 99, 52 ]

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

[ 33, 452, 60, 37, 174, 31941, 4, 635, 6, 37, 18, 7316, 7, 1606, 6, 52, 202, 33, 10, 778, 7, 817, 383, 6, 114, 45, 70, 357, 6, 172, 23, 513, 10, 319, 540, 3007, 87, 51, 115, 33, 57, 4, 178, 37, 34, 10, 319, 9, 9622, 13, 141, 14, 429, 28, 626, 4, 83, 35501, 8, 14998, 13366, 1732, 9, 84, 1607, 3905, 35, 50118, 50118, 1185, 348, 57, 7739, 5, 2991, 9, 19499, 13, 59, 291, 107, 122, 4, 3945, 5, 1597, 12, 10816, 14, 52, 17, 27, 241, 1576, 59, 235, 122, 10, 485, 10632, 6, 50, 32, 51, 233, 9, 10, 2514, 6184, 9, 2991, 116, 50118, 50118, 2847, 5, 1597, 12, 10816, 52, 17, 27, 548, 57, 1576, 59, 682, 2260, 12155, 7, 10658, 41304, 6, 61, 32, 5, 2312, 19499, 14, 52, 489, 11, 7644, 8, 120, 10658, 31, 4, 83, 319, 9, 82, 206, 14, 17, 27, 29, 5, 129, 4707, 9, 19417, 6, 8, 9, 768, 24, 965, 17, 27, 90, 4, 345, 269, 291, 12, 13533, 7673, 4707, 9, 19417, 11, 5, 232, 4, 11206, 70, 5, 643, 32, 3418, 19499, 14, 5907, 1326, 71, 131, 51, 95, 356, 71, 1235, 4, 252, 17, 27, 241, 70, 505, 6, 53, 52, 888, 218, 17, 27, 90, 216, 99, 17, 27, 29, 2909, 7, 144, 9, 106, 4, 50118, 50118, 34480, 6, 600, 6, 5, 4685, 9, 209, 1597, 12, 10816, 8, 3489, 9, 19417, 11081, 32, 11237, 5, 276, 13, 70, 3505, 9, 19499, 6, 25, 444, 25, 52, 216, 4, 178, 89, 32, 130, 1049, 1980, 13, 61, 89, 32, 205, 1283, 4, 370, 17, 27, 890, 1166, 70, 9477, 9, 20175, 59, 97, 383, 4, 1806, 40, 1137, 47, 14, 1830, 4247, 32, 5, 1303, 9, 19417, 2991, 131, 50, 24576, 10639, 9774, 16, 10, 1406, 65, 480, 24, 17, 27, 29, 2829, 55, 27099, 6, 53, 45, 203, 55, 87, 13099, 4755, 4247, 4, 50118, 50118, 45567, 6, 16, 14294, 872, 4, 38385, 34, 269, 26396, 1714, 11, 5, 94, 6317, 107, 4, 96, 1444, 52, 341, 7, 33, 59, 654, 153, 6419, 9, 14214, 219, 13460, 162, 35207, 6, 8, 823, 8757, 135, 9, 24, 21, 4957, 11, 5, 291, 212, 3220, 6, 77, 52, 17757, 9698, 7, 860, 8, 712, 689, 931, 4, 85, 21, 269, 5836, 62, 19, 5, 200, 623, 1771, 35, 4052, 24301, 918, 58, 2942, 7, 582, 3111, 7, 15061, 66, 5, 17066, 5641, 8, 7, 5700, 8439, 70, 42, 1632, 14294, 8, 1004, 24, 88, 10, 6792, 6154, 1975, 17898, 4, 280, 2594, 50, 34, 1613, 15, 6128, 35, 1216, 360, 203, 9, 369, 730, 34, 209, 2232, 5447, 142, 9, 5, 7265, 9, 25393, 6, 8, 23826, 31048, 11, 1989, 6, 61, 839, 47, 64, 1733, 10, 6792, 396, 143, 28292, 23, 70, 4, 38, 74, 864, 549, 24, 17, 27, 29, 5068, 6, 53, 23, 513, 11, 5, 765, 1385, 24, 2622, 37, 7527, 9, 689, 4, 125, 24, 67, 839, 89, 32, 10, 319, 540, 7716, 4, 280 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27, 29, 1099, 114, 47, 17, 27, 241, 19417, 142, 70, 47, 3529, 16, 35971, 6, 295, 39459, 8, 7716, 4, 280, 17, 27, 29, 1153, 202, 5, 934, 631, 14, 18, 7920, 70, 19499, 4, 50118, 50118, 41187, 35, 50118, 50118, 48147, 346, 80, 16, 2199, 4, 166, 13636, 3802, 19417, 6357, 198, 5, 232, 4, 13834, 41304, 2025, 17, 27, 90, 3763, 7, 5, 11685, 23, 70, 131, 51, 283, 31, 1327, 4, 18810, 6, 77, 82, 517, 19499, 198, 51, 13636, 517, 49, 6357, 8, 37891, 19, 106, 114, 51, 17, 27, 241, 11256, 4, 178, 209, 32, 1373, 420, 19417, 4707, 6, 98, 5, 6357, 14, 3327, 10658, 41304, 40, 67, 2504, 7, 741, 15373, 41304, 8, 2626, 28550, 4, 50118, 50118, 43623, 130, 16, 25393, 6, 61, 16, 10, 1086, 527, 11, 1495, 6, 53, 103, 9, 5, 21442, 31048, 52, 304, 32, 269, 8422, 7, 19499, 6, 8, 7, 7892, 3489, 6, 8, 14, 1819, 3162, 7, 5, 936, 4, 407, 19, 167, 130, 383, 561, 24, 17, 27, 29, 164, 7, 28, 1099, 4, 50118, 50118, 6785, 7, 14246, 6, 99, 17, 27, 29, 5, 1049, 2249, 227, 10658, 41304, 6, 61, 52, 2333, 1798, 55, 59, 6, 8, 97, 4707, 116, 20492, 10481, 6, 141, 505, 32, 51, 13, 689, 6, 6300, 6, 2902, 8111, 6, 14, 2345, 9, 631, 116, 50118, 50118, 1106, 47, 1394, 10, 920, 7, 2451, 10, 19417, 6, 51, 17, 27, 890, 2451, 402, 380, 8, 5886, 19, 5718, 8, 909, 26224, 4, 280, 17, 27, 29, 10, 741, 15373, 14650, 4, 13834, 41304, 32, 203, 2735, 35, 51, 17, 27, 241, 45, 182, 31053, 6, 51, 17, 27, 241, 182, 28701, 6, 18100, 6219, 15916, 8, 51, 17, 27, 241, 99, 1074, 11, 10658, 14650, 1368, 3699, 4, 178, 172, 89, 32, 70, 209, 97, 4707, 9, 19417, 6, 61, 32, 2260, 650, 8, 1341, 40817, 19017, 12685, 4, 50118, 50118, 41187, 35, 50118, 50118, 1121, 1110, 9, 6792, 2902, 8111, 6, 51, 214, 70, 505, 7, 103, 5239, 35, 22248, 9774, 3805, 7, 28, 357, 2902, 9339, 30, 65, 50, 5, 97, 4, 85, 34, 7, 109, 19, 5, 3989, 8, 1836, 9, 5, 19417, 8, 5, 5933, 9, 63, 15686, 4, 1560, 31198, 32, 818, 460, 2902, 9339, 30, 741, 15373, 41304, 6, 552, 19, 383, 101, 2440, 22852, 8, 910, 9331, 22852, 6, 30867, 6, 13095, 8, 3739, 9, 97, 8942, 4, 13834, 41304, 109, 10, 1086, 6900, 9, 97, 383, 131, 36655, 32, 818, 460, 2902, 9339, 30, 10658, 41304, 4, 178, 171, 32, 2902, 9339, 30, 484, 430, 4707, 9, 19417, 4, 125, 5, 251, 8, 765, 9, 24, 16, 14, 51, 17, 27, 241, 70, 505, 4, 85, 74, 1153, 28, 38536, 7, 146, 686, 14, 52, 356, 23, 10, 1186, 9, 19499, 6, 142, 65, 9, 5, 12114, 9, 5, 2297, 232, 16, 14, 103, 9774, 182, 4008, 5864, 95, 15, 10658, 41304, 4, 520, 47, 304, 3739, 9, 25393, 172, 47, 120, 7495, 9, 5, 3763, 8, 3418, 19499 ]

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

[ 6, 8, 172, 110, 129, 1973, 16, 7, 907, 10658, 41304, 4, 50118, 50118, 7083, 21229, 32, 10, 372, 1246, 9, 42, 4, 252, 1733, 106, 182, 29727, 8, 402, 101, 112, 4, 245, 153, 10658, 14650, 1368, 3699, 32, 8139, 7, 2874, 886, 4, 1993, 9, 5, 10658, 41304, 11, 369, 730, 213, 7, 2902, 13014, 5, 36655, 11, 65, 650, 443, 9, 886, 358, 2428, 4, 178, 114, 932, 2594, 7, 14, 1787, 9, 10658, 14650, 1368, 3699, 172, 5, 32473, 17578, 32, 34797, 6, 142, 51, 17, 27, 548, 300, 1085, 1493, 7, 1136, 124, 15, 4, 178, 14, 17, 27, 29, 1256, 12648, 4, 85, 74, 28, 10, 203, 12732, 1068, 114, 51, 4446, 8, 2800, 3418, 19499, 25, 157, 25, 10658, 41304, 98, 51, 17, 27, 548, 300, 10, 8010, 4, 287, 24, 16, 6, 24, 17, 27, 29, 182, 11788, 4, 50118, 50118, 133, 796, 1332, 34, 57, 10, 319, 55, 8212, 87, 5, 121, 4, 104, 4, 15, 13241, 25393, 14, 189, 28, 28428, 19499, 4, 2615, 47, 1067, 10, 410, 828, 59, 141, 5, 381, 4, 791, 4, 2312, 7, 1323, 63, 2178, 8, 549, 24, 17, 27, 29, 145, 450, 25, 519, 143, 1683, 116, 50118, 50118, 41187, 35, 50118, 50118, 14783, 6, 98, 11, 5, 796, 1332, 52, 682, 4968, 6, 13, 80, 107, 6, 130, 1989, 3505, 9, 3087, 10003, 39467, 22926, 6, 10, 1907, 9, 21442, 15772, 14, 17, 27, 29, 42545, 1330, 7, 27730, 4, 85, 18, 10, 10387, 38977, 14, 8561, 5, 2900, 9, 5, 19417, 8, 143, 97, 21442, 4, 85, 17, 27, 29, 269, 8422, 7, 20289, 6, 203, 55, 87, 818, 932, 1493, 52, 17, 27, 548, 19442, 137, 4, 598, 23168, 14, 6, 10, 1998, 9, 10, 21161, 16, 615, 7, 3549, 5773, 153, 19499, 4, 96, 5, 121, 4, 530, 482, 61, 16, 10, 1256, 650, 443, 6, 52, 33, 7, 907, 1812, 7741, 9, 209, 8321, 358, 76, 480, 5, 121, 4, 104, 4, 1955, 16, 203, 6, 203, 723, 4, 407, 52, 17, 27, 241, 2057, 7741, 8, 7741, 9, 2682, 88, 5, 1212, 61, 16, 13109, 6, 24, 17, 27, 29, 18029, 6, 24, 1516, 88, 3451, 6, 24, 1516, 88, 35971, 8, 295, 39459, 4, 50118, 50118, 2895, 4211, 14, 173, 11, 42, 443, 32, 4814, 2273, 14, 42, 16, 5072, 28428, 84, 19499, 4, 1491, 4784, 30, 2024, 2429, 106, 6, 53, 89, 17, 27, 29, 269, 205, 1283, 14, 5, 19899, 51, 120, 32, 615, 7, 7319, 19, 49, 3650, 4, 287, 38, 26, 6, 209, 32, 10387, 30015, 131, 51, 3327, 5, 2900, 9, 5, 19417, 4, 20, 19417, 3374, 540, 441, 7, 11821, 8, 24, 64, 17, 27, 90, 1532, 50, 6754, 131, 24, 17, 27, 29, 761, 9, 10985, 6, 24, 17, 27, 29, 20600, 4, 178, 19499, 240, 7, 28, 441, 7, 11821, 131, 24, 17, 27, 29, 65, 9, 5, 762, 383, 14, 51, 17, 27, 241, 269, 205, 23, 4, 85, 17, 27, 29, 4499, 13, 99, 51, 109, 142, 14 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27, 29, 141, 51, 465, 7716, 8, 120, 7, 50, 31, 49, 15717, 4, 407, 19, 10, 10658, 14650, 50, 741, 15373, 14650, 6, 5, 1138, 213, 66, 8, 13, 1580, 70, 183, 251, 8, 51, 64, 3598, 1788, 7, 465, 19054, 9, 7716, 8, 836, 689, 124, 4, 125, 114, 51, 17, 27, 548, 57, 576, 10, 12234, 9, 5, 10387, 38977, 6, 51, 64, 17, 27, 90, 11821, 6, 8, 51, 120, 685, 6, 8, 14, 17, 27, 29, 164, 7, 847, 160, 5, 689, 1787, 7, 5, 15717, 4, 50118, 50118, 2847, 89, 17, 27, 29, 269, 205, 1219, 7, 679, 209, 383, 32, 28428, 84, 19499, 4, 178, 25, 10, 898, 6, 27628, 6, 52, 1276, 7, 213, 789, 19, 42, 25618, 4, 125, 24, 2282, 17, 27, 90, 269, 283, 88, 1683, 648, 4, 20, 25618, 376, 11, 5, 1683, 11, 719, 1014, 6, 98, 292, 377, 536, 6, 53, 70, 84, 13270, 9774, 6, 61, 16, 77, 144, 9, 84, 9774, 32, 579, 3355, 6, 58, 3032, 137, 5, 25618, 4, 407, 114, 47, 1305, 198, 1444, 452, 6, 47, 17, 27, 890, 192, 3739, 9, 64, 3019, 5447, 11, 455, 14214, 4, 252, 214, 70, 3032, 4, 407, 190, 19, 5, 25618, 122, 11, 1683, 52, 351, 17, 27, 90, 192, 143, 1795, 6, 23, 5, 182, 13342, 6, 454, 220, 76, 4, 598, 28, 5322, 6, 24, 40, 1153, 185, 1181, 87, 14, 4, 50118, 50118, 41187, 35, 50118, 50118, 250, 80, 12, 180, 25618, 630, 17, 27, 90, 2045, 251, 615, 7, 2450, 549, 42, 16, 519, 143, 588, 913, 4, 1336, 251, 74, 52, 33539, 240, 116, 50118, 50118, 8346, 6, 1153, 1341, 10, 367, 107, 6, 8, 38, 197, 20251, 14, 190, 19, 42, 25618, 11, 317, 6, 19499, 202, 33, 2710, 9, 97, 1272, 6, 98, 9883, 32, 45, 164, 7, 213, 149, 5, 9920, 4, 125, 11, 143, 403, 209, 8321, 32, 269, 13109, 131, 52, 216, 14, 51, 94, 11, 6613, 13, 292, 7, 158, 107, 6, 5700, 4, 178, 51, 17, 27, 890, 94, 11, 3451, 13, 107, 4, 407, 24, 40, 185, 86, 13, 209, 383, 7, 5764, 14529, 31, 5, 1737, 6, 8, 1085, 16, 164, 7, 1369, 1335, 4, 38, 74, 1034, 14, 11, 130, 50, 237, 107, 6, 114, 5, 2020, 16, 7867, 6, 52, 40, 386, 7, 192, 23, 513, 10, 650, 3855, 480, 45, 95, 11, 19499, 53, 5952, 11, 97, 7892, 6, 142, 38, 206, 89, 17, 27, 29, 1256, 205, 1219, 7, 679, 14, 209, 8321, 33, 56, 2430, 3038, 15, 70, 20289, 35, 383, 101, 6429, 17921, 6, 31186, 8, 70, 6134, 9, 10142, 20289, 14, 52, 17, 27, 417, 101, 7, 192, 6, 8, 1153, 5, 383, 14, 3529, 106, 6, 101, 7723, 6, 25, 157, 4, 50118, 50118, 2847, 11380, 6, 24, 40, 185, 10, 251, 86, 7, 1796, 4, 125, 5, 10027, 47, 386, 6, 5, 357, 4, 38, 218, 17, 27, 90, 236, 7, 28, 21820, 59, 24, 7, 47, 1669, 6, 53 ]

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

[ 24, 17, 27, 29, 1341, 29338, 14, 5, 121, 4, 104, 4, 16, 269, 2635, 15, 42, 4, 345, 17, 27, 29, 1085, 203, 2909, 11, 369, 730, 23, 70, 8, 38, 206, 24, 17, 27, 29, 59, 86, 47, 1669, 2037, 62, 4, 50118, 50118, 2847, 64, 24, 28, 3811, 14, 114, 19499, 32, 7242, 209, 2430, 3038, 31, 25393, 6, 14, 24, 17, 27, 29, 533, 7, 517, 62, 5, 689, 3206, 6, 8, 14, 739, 3122, 50, 82, 429, 28, 2132, 67, 116, 50118, 50118, 41187, 35, 50118, 50118, 243, 17, 27, 29, 182, 533, 14, 10, 346, 9, 3122, 32, 145, 2132, 149, 1762, 9, 689, 4, 38, 17, 27, 548, 57, 103, 25, 648, 43179, 3218, 8, 89, 17, 27, 29, 1337, 18677, 1283, 14, 17, 27, 29, 1256, 13618, 6, 14, 1302, 7, 3608, 14, 5103, 9883, 6, 1605, 21442, 12, 29100, 7723, 6, 33, 57, 478, 4, 20847, 45, 142, 9, 2228, 15000, 6, 53, 1622, 142, 70, 9, 49, 689, 34, 57, 16492, 66, 4, 50118, 50118, 243, 17, 27, 29, 678, 14, 89, 32, 2228, 8422, 3038, 15, 5, 689, 3206, 25, 157, 4, 1216, 1989, 25393, 32, 540, 8422, 7, 201, 87, 51, 32, 7, 20289, 6, 53, 51, 17, 27, 241, 202, 8422, 4, 178, 70, 5, 1078, 3044, 16, 716, 15, 269, 765, 12, 1279, 3457, 4, 25817, 2686, 6, 24, 17, 27, 29, 95, 81, 2929, 722, 50, 6254, 10, 186, 23, 5, 6463, 6, 8, 114, 47, 1296, 12378, 50, 3046, 24, 429, 28, 16, 202, 4299, 23, 5, 253, 6, 172, 47, 6876, 14, 70, 16, 157, 4, 125, 888, 99, 2594, 11, 5, 588, 232, 16, 14, 3122, 8, 5868, 32, 4924, 15342, 1328, 49, 1074, 4, 901, 50, 540, 960, 47, 3529, 6308, 10, 1086, 1186, 9, 8321, 4, 50118, 50118, 28750, 124, 7, 5, 19499, 6, 103, 1134, 11, 5, 121, 4, 104, 4, 33, 16842, 5, 6865, 7, 17890, 10, 1122, 2020, 7, 5, 121, 4, 530, 955, 29, 6, 53, 98, 444, 5, 6865, 161, 24, 17, 27, 29, 45, 164, 7, 190, 356, 88, 24, 13, 10, 346, 9, 107, 4, 3945, 89, 97, 383, 52, 64, 28, 608, 7, 244, 8415, 19499, 11, 5, 10299, 116, 50118, 50118, 250, 319, 9, 8360, 1652, 32, 182, 29338, 142, 47, 64, 17, 27, 90, 120, 963, 182, 2773, 4, 370, 64, 17, 27, 90, 120, 963, 7, 1871, 13744, 10361, 50, 36054, 50, 3046, 6, 53, 47, 64, 244, 7, 1871, 19499, 95, 11, 110, 124, 5671, 4, 85, 17, 27, 29, 1365, 7, 465, 1915, 14, 889, 19417, 12, 6928, 7716, 35, 5, 34436, 4643, 3930, 34, 8204, 13, 369, 730, 6, 8, 5, 163, 15373, 14650, 12978, 3101, 34, 10, 889, 13, 5, 121, 4, 530, 4, 407, 1268, 64, 1335, 213, 7, 49, 400, 5671, 1312, 8, 465, 103, 380, 6, 5192, 3451, 4, 178, 25, 1010, 25, 167, 383, 14214, 6, 47, 17, 27, 890, 192, 19499, 480, 190, 11, 5, 1692, 9, 10, 380, 343, 6, 19499 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8131, 47, 66, 8, 825, 110, 7716, 114, 47, 1733, 106, 4, 318, 47, 64, 694, 106, 19, 103, 2382, 6, 2245, 689, 14, 269, 2607, 6, 142, 14, 17, 27, 29, 65, 9, 5, 380, 383, 51, 214, 1716, 23, 5, 1151, 4, 178, 2085, 51, 64, 10731, 19, 6357, 8, 15000, 114, 51, 17, 27, 548, 300, 899, 7, 103, 2579, 6, 2245, 689, 358, 122, 8, 456, 4, 318, 47, 2220, 17, 27, 90, 300, 10, 5671, 2085, 89, 32, 400, 2127, 147, 47, 173, 6, 50, 435, 6768, 8, 14002, 14, 32, 2164, 30, 5, 343, 480, 2057, 11, 19417, 12, 6928, 3451, 40, 146, 10, 588, 2249, 4, 50118, 50118, 41187, 35, 50118, 50118, 6179, 7917, 32, 47, 14, 52, 581, 28, 441, 7, 1004, 5, 1374, 2991, 198, 116, 50118, 50118, 133, 2991, 40, 535, 13, 103, 86, 4, 1491, 95, 9, 19499, 6, 53, 9, 7892, 4, 20, 2170, 23, 1455, 16, 1341, 29338, 35, 166, 17, 27, 241, 5072, 11, 5, 11201, 9, 99, 18, 373, 10, 2862, 23989, 515, 4, 20847, 484, 4039, 4707, 213, 31703, 358, 183, 6, 8, 1085, 16, 164, 7, 912, 14, 1335, 4, 125, 114, 52, 386, 2992, 6, 114, 52, 386, 8197, 35204, 62, 5, 5518, 6, 23, 513, 52, 64, 146, 24, 540, 1099, 87, 24, 429, 28, 3680, 4, 50118, 50118, 243, 17, 27, 29, 269, 543, 7, 216, 4, 38, 1266, 6, 15, 10, 1099, 183, 38, 64, 120, 1341, 16658, 59, 70, 42, 6, 8, 6, 7, 28, 5322, 6, 38, 206, 24, 17, 27, 29, 699, 14, 5, 232, 127, 408, 1733, 62, 11, 16, 164, 7, 28, 10, 22555, 317, 87, 99, 52, 33, 452, 4, 85, 17, 27, 29, 11066, 142, 42, 609, 16, 6159, 235, 122, 4, 166, 17, 27, 548, 416, 4957, 1307, 27311, 9, 5, 1632, 24843, 9, 5, 232, 8, 52, 8439, 55, 358, 183, 4, 166, 1733, 689, 11, 41, 2778, 20595, 9515, 36619, 352, 169, 8, 1153, 11, 41, 26079, 169, 4, 166, 17, 27, 241, 1782, 2232, 6613, 19407, 198, 5, 232, 6, 61, 16561, 40, 483, 7, 6792, 3363, 6614, 4, 407, 65, 429, 120, 1256, 16658, 8, 206, 5, 499, 16, 1341, 23530, 480, 38, 218, 17, 27, 90, 216, 4, 38, 1034, 24, 17, 27, 29, 45, 4, 50118, 50118, 3684, 52, 64, 109, 16, 109, 84, 275, 235, 122, 4, 178, 932, 52, 109, 40, 146, 24, 357, 87, 24, 429, 33, 57, 4, 5359, 42, 16, 10, 828, 36331, 6, 53, 89, 17, 27, 29, 41, 793, 45031, 14, 1411, 6, 44, 48, 133, 275, 86, 7, 2195, 10, 3907, 21, 291, 107, 536, 4, 178, 5, 200, 12, 7885, 86, 7, 2195, 10, 3907, 16, 452, 4, 17, 46, 2647, 6, 47, 216, 6, 114, 961, 2012, 608, 402, 6, 172, 24, 17, 27, 29, 1819, 164, 7, 244, 4, 407, 47, 33, 7, 860, 8, 28, 1313, 6, 218, 17, 27, 90, 47, 116, 318, 82, 492, 62, 8, 206, 89, 16, 117, 477, 6 ]

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

[ 24, 17, 27, 29, 70, 350, 628, 6, 172, 52, 17, 27, 241, 2299, 34797, 4, 993, 383, 32, 1256, 1828, 4, 993, 3505, 9, 19417, 32, 203, 9319, 87, 643, 6, 98, 52, 17, 27, 241, 164, 7, 2217, 103, 480, 52, 348, 416, 685, 103, 480, 53, 3867, 52, 17, 27, 241, 269, 12103, 52, 351, 17, 27, 90, 2217, 70, 9, 106, 4, 2, 0, 250, 12234, 9, 5078, 6342, 354, 16, 7663, 843, 498, 723, 87, 10, 1122, 1262, 373, 5080, 1988, 179, 4, 1868, 32, 156, 30, 4380, 1342, 7529, 6, 61, 4632, 444, 55, 77, 24, 7683, 5, 3214, 1262, 4, 36, 2411, 7676, 9, 4380, 1342, 7529, 43, 50118, 50118, 133, 80, 2196, 33, 57, 2998, 38933, 7240, 35821, 4, 4500, 196, 526, 30, 526, 11, 411, 538, 7341, 6, 258, 2097, 35148, 11, 10, 1537, 793, 12, 1580, 11129, 38068, 4, 6479, 30570, 6, 51, 32, 20005, 4, 252, 17, 27, 241, 190, 156, 30, 5, 276, 138, 4, 50118, 50118, 1708, 65, 3106, 10, 699, 425, 2093, 4, 50118, 50118, 23389, 1988, 179, 1042, 59, 68, 1096, 228, 12632, 4, 50118, 50118, 25370, 6342, 354, 1042, 59, 68, 176, 6, 151, 228, 12632, 4, 50118, 50118, 42847, 2807, 5, 55, 3214, 1262, 55, 87, 457, 10, 153, 498, 358, 76, 6, 10, 2031, 14, 1042, 5, 8999, 586, 6, 5, 1154, 881, 2111, 6, 41, 1823, 68, 134, 325, 50, 55, 6333, 4, 50118, 50118, 12582, 4345, 14, 203, 189, 146, 410, 1472, 13, 10, 247, 32875, 4490, 30, 655, 12, 50118, 50118, 37592, 474, 4033, 6, 53, 25, 16, 747, 5, 403, 11, 470, 474, 575, 6, 89, 16, 10, 1402, 776, 14578, 35, 14404, 8, 1262, 6040, 1963, 77, 55, 12, 10111, 352, 8289, 32, 5091, 4, 50118, 50118, 15887, 1342, 7529, 6, 10, 2757, 9, 5, 20288, 826, 6, 817, 258, 785, 53, 769, 7527, 444, 55, 1963, 77, 24, 7683, 5, 55, 3214, 1262, 4, 2223, 5078, 6342, 354, 16, 59, 843, 498, 25, 3214, 25, 5080, 1988, 179, 7, 907, 6, 5, 701, 9, 5591, 5, 80, 2196, 16, 1122, 6, 309, 7, 4211, 2950, 19, 5, 2196, 8, 5, 539, 4, 50118, 50118, 42847, 6, 6637, 6, 189, 1796, 77, 51, 2807, 5, 55, 3214, 1262, 4, 2096, 8999, 20386, 1492, 13, 2196, 576, 30, 13018, 6, 51, 32, 28248, 24417, 13, 5, 674, 425, 9, 5, 1262, 2704, 231, 135, 4, 280, 839, 10, 1262, 19, 10, 723, 425, 189, 28, 3013, 7, 1331, 7, 3333, 87, 10, 7246, 65, 4, 96, 1285, 6, 4380, 1342, 7529, 1523, 5898, 1626, 7, 3333, 54, 304, 739, 7267, 9, 5, 55, 3214, 1262, 4, 50118, 50118, 17, 48, 15887, 1342, 7529, 1388, 7, 3014, 14, 5078, 6342, 354, 16, 5, 144, 3901, 6150, 6, 17, 46, 5, 138, 26, 11, 10, 445, 6, 1271, 14, 24, 1042, 44, 48, 13033, 32333, 17, 46, 55, 7, 146, 8, 16, 17719, 13, 304, 11, 5, 2295, 4, 20, 1262, 44, 48, 7333, 156, 41, 14151, 913, 4, 17, 46, 50118 ]

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

[ 50118, 10787, 1021, 31835, 119, 10974, 6, 959, 6, 32, 14992, 14, 24, 1639, 143, 355, 923, 81, 5, 7246, 3626, 4, 50118, 50118, 17, 48, 25370, 6342, 354, 16, 5080, 1988, 179, 93, 24, 17, 27, 29, 5, 276, 16490, 28807, 19, 10, 367, 22411, 1022, 6, 17, 46, 26, 344, 4, 12006, 32194, 6, 10, 15250, 1021, 31835, 119, 6393, 54, 6, 22339, 30, 5, 425, 6, 1029, 12, 17724, 10, 333, 373, 33448, 13, 20868, 31523, 7, 2790, 63, 304, 4, 44, 48, 34995, 1791, 32, 2746, 10, 325, 1932, 358, 76, 13, 117, 205, 1219, 93, 3867, 47, 3212, 442, 4380, 1342, 7529, 4066, 4, 17, 46, 50118, 50118, 133, 527, 9, 4380, 1342, 7529, 17, 27, 29, 80, 2196, 6, 5078, 6342, 354, 8, 5080, 1988, 179, 6, 880, 19, 10, 6441, 25591, 93, 10, 10118, 11, 18004, 14, 6, 2446, 7, 5, 4714, 11652, 9, 121, 4, 104, 4, 28610, 1767, 6, 34, 2622, 7934, 613, 2886, 4, 50118, 50118, 11195, 4632, 33, 19057, 1795, 4, 870, 2746, 13, 215, 2196, 396, 6203, 7, 701, 6, 5, 8999, 467, 34, 1147, 19770, 915, 11, 1131, 557, 14, 17992, 7, 5, 709, 9, 55, 30905, 13286, 4233, 4, 50118, 50118, 1708, 5, 3041, 9, 1055, 67, 16418, 62, 5, 474, 12, 6350, 1042, 14, 32, 5635, 7, 263, 43651, 752, 11652, 4, 286, 150, 4380, 1342, 7529, 34, 11907, 22472, 5, 55, 3214, 1262, 8, 2952, 7, 14058, 5, 304, 9, 5, 7246, 65, 6, 4853, 224, 6, 8999, 34, 57, 33128, 7, 109, 932, 53, 582, 62, 4, 50118, 50118, 1711, 17, 27, 29, 142, 81, 5, 375, 707, 107, 6, 1135, 19518, 31, 5, 3652, 8, 8006, 4237, 8, 3333, 1134, 6, 4380, 1342, 7529, 34, 4925, 5, 7926, 14, 146, 24, 4851, 13, 3333, 7, 304, 5, 7246, 1262, 4, 50118, 50118, 23389, 1988, 179, 21, 45, 3249, 3833, 13, 304, 11, 5, 2295, 6, 8, 5, 138, 34, 3179, 18197, 31, 5, 7985, 7, 2639, 781, 2846, 13, 634, 24, 7, 3951, 2295, 29275, 6, 309, 7, 43179, 3425, 7985, 2339, 4, 152, 1572, 3333, 7, 304, 24, 44, 48, 1529, 12, 50118, 50118, 33480, 6, 17, 46, 50, 11, 1319, 45, 17966, 15, 5, 6150, 17, 27, 29, 6929, 4, 50118, 50118, 133, 138, 67, 8368, 5, 1262, 6, 61, 21, 2033, 13, 1668, 11, 4482, 6, 11, 19899, 444, 350, 380, 13, 304, 11, 1021, 31835, 40006, 6, 3099, 14, 5, 2196, 531, 28, 2851, 2990, 4628, 30, 97, 451, 13, 304, 11, 5, 2295, 6, 3282, 5, 810, 9, 17520, 4, 50118, 50118, 15887, 1342, 7529, 34, 3811, 14, 5080, 1988, 179, 189, 7277, 10, 2388, 4854, 9, 3814, 526, 3038, 87, 473, 5078, 6342, 354, 6, 1712, 2222, 4211, 224, 215, 7697, 32, 30604, 30, 5, 411, 7341, 14, 33, 57, 2964, 4, 50118, 50118, 1121, 10, 445, 6, 5, 138, 26, 14, 24, 34, 45, 2952, 7985, 2846, 9, 5, 7246, 1262, 13, 304, 11, 5, 2295, 142, 24, 34, 416, 2226, 65, 1262, 13, 5, 34712, 1757 ]

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

[ 684, 25, 7727, 1046, 12, 50118, 50118, 3368, 13418, 8244, 27462, 1258, 6, 50, 7727, 15297, 4, 50118, 50118, 17, 48, 15887, 1342, 7529, 1388, 7, 3014, 14, 5078, 6342, 354, 16, 5, 144, 3901, 6150, 13, 7727, 15297, 25, 2800, 30, 5154, 8, 97, 6441, 414, 6, 17, 46, 5, 445, 26, 4, 50118, 50118, 17, 48, 170, 4010, 1887, 5078, 6342, 354, 13, 304, 11, 5, 2295, 8, 7, 699, 1335, 31, 5, 38144, 71, 1618, 5, 2295, 7, 2905, 15925, 526, 3038, 6, 17, 46, 5, 445, 26, 4, 44, 48, 133, 80, 12441, 58, 1887, 13, 430, 6216, 8, 6, 52, 679, 6, 189, 33, 430, 18029, 8, 1021, 32188, 1078, 11729, 77, 341, 11, 5, 2295, 4, 17, 46, 50118, 50118, 15887, 1342, 7529, 7194, 63, 5024, 30, 5196, 14, 5, 20288, 826, 12500, 68, 466, 325, 6333, 15, 557, 8, 709, 4, 50118, 50118, 17, 48, 133, 425, 9, 5078, 6342, 354, 4548, 5, 557, 8, 709, 9, 92, 801, 12441, 6, 217, 5, 8403, 135, 9, 2196, 14, 393, 146, 24, 7, 1484, 6, 17, 46, 5, 138, 26, 4, 44, 48, 170, 769, 12, 12406, 10, 2514, 4745, 9, 84, 903, 88, 5154, 557, 87, 144, 9016, 451, 4, 4380, 1342, 7529, 2046, 24, 16, 11, 5, 275, 773, 9, 1484, 7, 535, 7, 1056, 84, 1170, 11, 1021, 31835, 40006, 15, 18152, 8, 2623, 92, 801, 12441, 13, 97, 1473, 6357, 9, 5, 2295, 4, 17, 46, 50118, 50118, 2895, 3333, 6, 959, 6, 6573, 7, 304, 5, 7246, 1262, 4, 2285, 5, 138, 17, 27, 29, 737, 6, 121, 4, 104, 4, 3333, 33, 57, 634, 5080, 1988, 179, 11, 59, 4772, 135, 9, 215, 1200, 6, 309, 7, 8999, 414, 13773, 30, 20, 663, 1869, 4, 96, 5, 144, 485, 2658, 30, 5, 470, 3930, 9, 9944, 6204, 3672, 1952, 6, 59, 5659, 135, 9, 3333, 6813, 634, 5080, 1988, 179, 13, 13418, 8244, 27462, 1258, 6, 19, 5, 1079, 9, 5, 210, 3462, 227, 5078, 6342, 354, 8, 381, 14143, 102, 6, 10, 92, 1262, 156, 30, 34514, 261, 14, 16, 818, 25, 3214, 25, 5078, 6342, 354, 4, 50118, 50118, 10105, 98, 171, 3333, 535, 7, 304, 5078, 6342, 354, 6, 4380, 1342, 7529, 34, 422, 571, 62, 55, 87, 68, 134, 325, 11, 121, 4, 104, 4, 647, 9, 5, 1262, 13, 237, 107, 878, 4, 18860, 352, 1812, 135, 9, 121, 4, 104, 4, 647, 32, 1199, 13, 30, 8999, 8, 63, 14956, 4, 50118, 50118, 133, 2227, 701, 9, 121, 4, 104, 4, 28610, 1767, 215, 25, 8999, 34, 5256, 10618, 11, 1148, 6, 53, 24, 16, 1148, 14, 34, 156, 24, 1202, 11, 42, 403, 8, 643, 13, 8999, 7, 3000, 215, 4068, 4, 50118, 50118, 3972, 1642, 19, 6, 5, 8999, 1218, 16, 4953, 31, 1818, 357, 1262, 850, 30, 8779, 2024, 19, 5, 1262, 451, 6, 25, 474, 2244, 11, 97, 749, 109, 4, 4512, 11, 1444, 6, 13, 1246, 6, 33, 12518, 10, 425, 9, 59, 68, 134, 6, 1866, 228, 12234 ]

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

[ 9, 5078, 6342, 354, 6, 8, 11, 5, 7556, 10, 12234, 7683, 13, 59, 68, 134, 6, 2965, 4, 50118, 50118, 42850, 6, 11, 1200, 11, 61, 80, 6305, 1735, 32, 577, 6, 215, 25, 5078, 6342, 354, 8, 5080, 1988, 179, 6, 8999, 16, 27686, 31, 22030, 3207, 7, 5, 1280, 9, 5, 540, 9400, 3626, 4, 572, 24, 2952, 7, 109, 98, 11, 2338, 6, 10, 752, 7688, 461, 26, 24, 13385, 14, 3446, 4, 50118, 50118, 243, 17, 27, 29, 747, 1202, 6, 9, 768, 6, 7, 216, 77, 80, 2196, 32, 6305, 4, 520, 5, 2625, 81, 5, 80, 2196, 8, 49, 5024, 11376, 55, 87, 411, 107, 536, 6, 4380, 1342, 7529, 17021, 14, 63, 55, 3214, 92, 1262, 21, 10295, 4, 497, 5, 86, 6, 24, 21, 543, 7, 311, 3680, 4, 440, 65, 56, 4776, 106, 11, 526, 12, 1409, 12, 3730, 17941, 4, 50118, 50118, 11321, 172, 6, 5, 411, 36861, 5154, 7341, 3329, 55, 87, 155, 6, 151, 1484, 33, 303, 5, 2196, 7, 28, 2743, 6305, 4, 50118, 50118, 34995, 11, 1125, 6, 5, 8999, 586, 8, 63, 14956, 1240, 68, 134, 4, 176, 325, 15, 5078, 6342, 354, 6, 309, 7, 20, 1869, 17, 27, 29, 1966, 9, 8999, 414, 4, 50118, 50118, 39096, 1322, 503, 26, 51, 33, 117, 2031, 53, 7, 582, 5, 1087, 77, 10, 3299, 20618, 7, 304, 5078, 6342, 354, 4, 50118, 50118, 17, 48, 170, 109, 45, 33, 5, 3446, 7, 22203, 1416, 716, 15, 701, 6, 17, 46, 255, 5602, 6217, 14713, 6, 10, 3582, 13, 5, 11825, 13, 8999, 8, 7426, 1820, 6, 26, 11, 10, 445, 4, 44, 48, 17245, 595, 488, 6, 8999, 531, 1719, 1416, 14, 16, 7661, 5701, 8, 25749, 2139, 30, 10, 11593, 50, 97, 3696, 4, 17, 46, 50118, 50118, 17297, 4526, 18492, 2566, 5848, 14, 42, 16, 5, 169, 24, 197, 28, 4, 50118, 50118, 133, 539, 17, 27, 29, 1049, 12812, 333, 6, 684, 25, 4129, 500, 5273, 6, 20408, 2455, 5, 168, 7, 8654, 850, 19, 451, 93, 10, 609, 24, 1519, 44, 48, 17212, 5656, 17, 46, 93, 8, 11401, 20408, 3881, 30, 8999, 7, 5445, 10, 714, 9, 2746, 129, 13, 5, 513, 9400, 3626, 4, 50118, 50118, 133, 539, 34, 1240, 55, 87, 143, 97, 11, 5, 315, 532, 7, 33, 63, 2236, 1317, 11, 663, 4, 2306, 5, 375, 379, 107, 6, 5, 9016, 539, 34, 444, 66, 25354, 5686, 143, 97, 11, 5, 418, 24, 34, 11213, 7, 12812, 6, 309, 7, 414, 31, 5, 824, 13, 25714, 2088, 16226, 4, 8006, 451, 1240, 10, 746, 9, 68, 176, 4, 406, 325, 81, 14, 86, 4, 50118, 50118, 17, 48, 41895, 366, 1536, 7, 464, 42, 467, 30, 13223, 425, 5656, 50, 129, 1311, 1484, 899, 7, 8289, 7661, 5, 44, 711, 459, 1988, 9400, 3626, 17, 27, 30, 8999, 74, 33, 3814, 26364, 4914, 6, 17, 46, 4508, 7959, 6, 10, 949, 2626, 394, 23, 4129, 500, 5273, 6, 26, 11, 10, 445, 4, 50118, 50118, 27331, 5327 ]

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

[ 115, 21662, 1131, 2017, 6, 37, 26, 4, 7905, 6, 142, 358, 3186, 17904, 8225, 7, 10, 1416, 6, 24, 189, 28, 1202, 13, 5, 168, 7, 278, 1492, 13, 1953, 4, 50118, 50118, 17, 48, 133, 21084, 1973, 15, 674, 16, 45, 460, 5, 275, 1973, 13, 171, 1484, 6, 17, 46, 37, 26, 4, 50118, 50118, 2264, 17, 27, 29, 5, 235, 425, 13, 10, 16829, 116, 50118, 50118, 7682, 76, 6, 59, 1878, 6, 151, 82, 11, 369, 730, 32, 6443, 19, 7727, 1046, 12, 3368, 13418, 8244, 27462, 1258, 6, 10, 7642, 2199, 17407, 30, 27034, 1925, 9048, 14, 9324, 1925, 50, 12293, 88, 5, 41035, 4, 50118, 50118, 104, 5865, 16885, 2217, 10498, 11, 5, 1312, 9, 49, 882, 9, 3360, 6, 8, 566, 2530, 82, 24, 34, 251, 57, 5, 981, 1303, 9, 35148, 4, 50118, 50118, 12948, 376, 5080, 1988, 179, 8, 5078, 6342, 354, 4, 50118, 50118, 16991, 32, 5, 66, 14596, 9, 22653, 173, 626, 30, 7645, 4104, 1264, 22826, 1742, 6, 10, 34315, 12, 5400, 22481, 29234, 4, 50118, 50118, 597, 14385, 1742, 8069, 23, 5, 589, 9, 886, 23, 764, 2659, 8, 1770, 4380, 1342, 7529, 11, 11151, 4, 1234, 5530, 7, 5, 138, 17, 27, 29, 1170, 7, 2179, 10, 20940, 373, 38924, 179, 6, 22826, 1742, 11213, 39, 25159, 557, 7, 10, 6680, 14, 1925, 9190, 434, 115, 1303, 1668, 8, 97, 14971, 4, 50118, 50118, 10777, 484, 107, 6, 22826, 1742, 8, 39, 29207, 2006, 10, 8276, 373, 468, 7170, 597, 14, 4685, 1925, 9190, 434, 4, 252, 172, 3307, 14, 8276, 7, 1668, 8, 13418, 8244, 27462, 1258, 4, 3347, 6, 51, 2226, 41, 44, 48, 10865, 12, 8856, 27150, 17, 46, 1262, 14, 74, 908, 468, 7170, 597, 6, 26563, 5, 11190, 1925, 9190, 434, 4, 50118, 50118, 133, 78, 1475, 12, 8856, 27150, 1262, 21, 5080, 1988, 179, 6, 61, 351, 2846, 31, 5, 7985, 11, 4482, 13, 5, 1416, 9, 11311, 1688, 3894, 337, 1668, 4, 50118, 50118, 25370, 6342, 354, 1432, 4, 85, 16, 10, 12850, 12, 3955, 1732, 9, 5, 276, 28807, 6, 8, 24, 64, 24489, 908, 468, 7170, 597, 8, 23379, 55, 3615, 7, 24, 4, 85, 351, 7985, 2846, 11, 3503, 4, 50118, 50118, 17, 48, 4763, 3559, 17, 27, 90, 686, 14, 468, 7170, 597, 74, 3364, 1605, 505, 6, 53, 2128, 11, 2866, 6, 47, 95, 1407, 110, 308, 2956, 6, 17, 46, 26, 22826, 1742, 6, 122, 10, 19098, 3097, 23, 5, 589, 9, 886, 23, 764, 3402, 835, 9, 8029, 4, 44, 48, 133, 11259, 9, 5, 1796, 9, 209, 2196, 444, 13009, 84, 2113, 4, 17, 46, 50118, 50118, 133, 138, 1240, 818, 68, 134, 4, 306, 325, 15, 5, 709, 9, 5078, 6342, 354, 6, 61, 1165, 504, 5154, 7341, 6, 10, 4380, 1342, 7529, 2626, 394, 8147, 7, 1148, 11, 1466, 4, 50118, 50118, 133, 138, 2092, 7, 33, 4609, 167, 1042, 8, 1341, 10, 828, 55, 4, 50118, 50118, 1121, 5, 78, 132, 112, 73, 132, 107, 6, 24, 1088, 68 ]

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

[ 176, 4, 134, 325, 966, 9, 5078, 6342, 354, 11, 5, 315, 532, 1937, 4, 2044, 5092, 138, 6, 1442, 2013, 354, 6, 11, 3088, 19, 4380, 1342, 7529, 6, 7683, 6685, 55, 4886, 4, 50118, 50118, 34443, 9, 14, 16, 1963, 4, 50118, 50118, 133, 138, 40, 45, 9263, 141, 203, 24, 1042, 7, 15030, 10, 12234, 9, 5078, 6342, 354, 6, 584, 129, 14, 24, 1042, 44, 48, 13033, 32333, 17, 46, 55, 7, 146, 87, 5080, 1988, 179, 4, 125, 4211, 26782, 59, 3021, 2196, 9, 42, 761, 224, 14, 5, 1042, 9, 442, 5078, 6342, 354, 32, 45, 203, 430, 31, 167, 9, 442, 5080, 1988, 179, 4, 50118, 50118, 40566, 6, 103, 4211, 26, 14, 103, 5894, 9, 5078, 6342, 354, 146, 24, 7246, 7, 2592, 4, 50118, 50118, 133, 5080, 1988, 179, 609, 3772, 19, 1197, 10, 2040, 31, 46428, 4590, 551, 31, 5, 19414, 1766, 9, 5, 1111, 11402, 3121, 4, 50118, 50118, 133, 5078, 6342, 354, 609, 3772, 19, 1197, 13426, 9, 5, 1537, 9436, 381, 4, 31435, 6, 8, 209, 32, 3013, 7, 2592, 4, 50118, 50118, 133, 7757, 9695, 5000, 609, 19, 9436, 189, 28, 55, 6336, 6, 53, 44, 48, 22862, 11, 9436, 16, 7246, 87, 11, 46428, 4590, 13, 484, 2188, 6, 17, 46, 26, 289, 8649, 7935, 8626, 906, 6, 10, 1131, 3097, 23, 5, 589, 9, 28254, 11, 1470, 54, 34, 8069, 5, 2196, 4, 50118, 50118, 5771, 89, 32, 103, 44, 48, 24686, 6205, 17, 46, 7, 5, 9436, 931, 5448, 6, 8626, 906, 26, 6, 44, 48, 627, 613, 898, 202, 1189, 11, 4402, 9, 9436, 4, 17, 46, 50118, 50118, 17, 48, 100, 206, 5, 2249, 11, 701, 11, 5591, 106, 16, 182, 6473, 4, 252, 701, 818, 5, 276, 6, 31, 99, 38, 64, 1137, 6, 17, 46, 22826, 1742, 26, 4, 50118, 50118, 1106, 98, 6, 4380, 1342, 7529, 16, 442, 10, 319, 15, 349, 12234, 4, 20, 3021, 1042, 189, 1316, 13, 158, 135, 50, 540, 9, 5, 425, 9, 10, 5078, 6342, 354, 12234, 6, 309, 7, 10, 3354, 21586, 5129, 19, 539, 2320, 4, 50118, 50118, 133, 138, 1981, 7, 4991, 141, 203, 24, 16, 442, 31, 5078, 6342, 354, 1065, 5, 1262, 17, 27, 29, 3021, 1042, 4, 50118, 50118, 17, 48, 25370, 6342, 354, 8, 5080, 1988, 179, 32, 45, 5, 276, 6150, 8, 197, 45, 28, 3032, 6, 3486, 4625, 6, 25, 114, 51, 32, 6, 17, 46, 5, 138, 26, 11, 10, 445, 4, 50118, 50118, 4993, 5, 709, 9, 5078, 6342, 354, 11, 5, 419, 3788, 29, 6, 24, 21, 5, 129, 1262, 684, 7, 33, 215, 3038, 4, 50118, 50118, 243, 2551, 7, 28, 11, 10, 1380, 30, 1495, 8, 2551, 10137, 7, 339, 190, 55, 11, 647, 87, 24, 33025, 452, 4, 50118, 50118, 1708, 172, 6805, 344, 4, 11998, 12706, 6, 10, 2561, 1021, 31835, 119, 6393, 6, 156, 10, 6953, 4, 50118, 50118, 500, 24353, 12706, 21, 483, 13660, 15, 103, 9, 5, 5078, 6342, 354, 7341, 14, 4380, 1342, 7529 ]

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

[ 56, 2964, 6, 8, 37, 4984, 141, 2375, 24, 115, 28, 4, 50118, 50118, 4993, 2600, 5, 557, 14, 103, 4380, 1342, 7529, 4211, 56, 1027, 6, 37, 5426, 14, 5080, 1988, 179, 8, 5078, 6342, 354, 58, 16934, 31, 5, 276, 34517, 8, 4634, 58, 44659, 6305, 4, 50118, 50118, 17, 48, 100, 5426, 51, 74, 3008, 11, 5, 276, 169, 6, 17, 46, 37, 26, 4, 50118, 50118, 17245, 10, 2737, 12, 20383, 557, 586, 6, 37, 17, 27, 417, 67, 2435, 14, 5080, 1988, 179, 6, 22993, 88, 10, 3186, 17, 27, 29, 3124, 25, 16, 626, 19, 1668, 1484, 6, 56, 5, 276, 3038, 25, 5078, 6342, 354, 4, 20, 3605, 21, 6, 187, 5, 5080, 1988, 179, 21, 164, 88, 5, 1445, 809, 6, 10, 739, 12234, 21, 956, 6, 8, 14, 115, 2592, 2702, 526, 3038, 4, 91, 9658, 14, 10, 203, 2735, 12234, 22993, 88, 5, 2295, 74, 28, 95, 25, 2375, 25, 5078, 6342, 354, 4, 50118, 50118, 1121, 392, 4013, 6, 11998, 12706, 56, 10, 3186, 54, 21, 1335, 2086, 69, 3360, 4, 83, 3562, 9008, 11, 69, 1191, 29, 6, 79, 17, 27, 417, 685, 5, 304, 9, 65, 2295, 416, 6, 8, 4146, 9, 5, 577, 26552, 115, 2635, 5, 2199, 17, 27, 29, 16739, 4, 50118, 50118, 500, 24353, 12706, 1467, 14, 5078, 6342, 354, 115, 244, 69, 6, 53, 24, 74, 28, 277, 76, 50, 55, 137, 5, 7985, 74, 7244, 24, 4, 50118, 50118, 3908, 5, 3186, 17, 27, 29, 5537, 6, 37, 22993, 69, 2295, 19, 10, 650, 12234, 9, 5080, 1988, 179, 93, 65, 7259, 1023, 4040, 93, 8, 2740, 69, 124, 5, 220, 186, 4, 50118, 50118, 17, 48, 170, 58, 12976, 9968, 30, 5, 775, 6, 17, 46, 37, 26, 4, 50118, 50118, 133, 325, 12, 11447, 1262, 5078, 6342, 354, 21, 59, 7, 28, 6432, 7, 210, 6, 8, 30, 65, 9, 4380, 1342, 7529, 17, 27, 29, 308, 785, 4, 50118, 50118, 1121, 550, 4013, 6, 4380, 1342, 7529, 547, 99, 16608, 7, 10, 567, 12, 995, 537, 13, 63, 92, 1262, 4, 50118, 50118, 3750, 5, 1013, 529, 9, 5, 470, 3930, 9, 9944, 6204, 3672, 1952, 6, 5, 138, 2633, 484, 4271, 3218, 2018, 141, 2375, 24, 21, 11, 8959, 13418, 8244, 27462, 1258, 4, 590, 2213, 9, 1021, 31835, 119, 10974, 11138, 88, 5, 929, 6, 6864, 13, 4380, 1342, 7529, 1602, 5, 25591, 9, 5078, 6342, 354, 4, 50118, 50118, 17, 48, 2522, 38332, 58, 15, 5, 1929, 6, 17, 46, 4841, 3028, 274, 4, 1896, 6, 2243, 9, 5, 7139, 14674, 2534, 23, 5, 2986, 14107, 4, 50118, 50118, 13984, 71, 6, 11998, 12706, 2633, 39, 5080, 1988, 179, 9280, 15, 65, 3186, 4, 50118, 50118, 17, 48, 25531, 969, 65, 403, 266, 93, 117, 3477, 3218, 6, 117, 36861, 7341, 6, 17, 46, 1896, 26, 4, 44, 48, 1708, 71, 42, 529, 6, 358, 1021, 31835, 119, 6393, 15, 5, 5518, 21, 32609, 24, 4, 20, 18441, 1683, 21, 98, 2247, 4, 17, 46, 50118, 50118 ]

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

[ 10105, 5078, 6342, 354, 56, 648, 7, 339, 7985, 2846, 8, 1705, 17, 27, 90, 28, 1088, 6, 1021, 31835, 119, 10974, 1335, 11589, 5080, 1988, 179, 6, 61, 56, 57, 2033, 5, 76, 137, 6, 13176, 25, 10, 1668, 20687, 4, 50118, 50118, 1779, 5078, 6342, 354, 222, 213, 15, 1392, 6, 4380, 1342, 7529, 17, 27, 29, 16182, 1262, 416, 56, 10, 11439, 4, 1336, 115, 5, 138, 8838, 3333, 8, 4815, 14, 5078, 6342, 354, 56, 143, 538, 2093, 81, 5080, 1988, 179, 116, 50118, 50118, 10777, 8, 81, 456, 6, 24, 2952, 7, 21662, 5, 304, 9, 5080, 1988, 179, 30, 3282, 1379, 59, 63, 1078, 4, 50118, 50118, 1213, 174, 3333, 14, 5080, 1988, 179, 21, 45, 2033, 30, 5, 7985, 13, 304, 11, 5, 2295, 93, 5078, 6342, 354, 21, 4, 252, 9180, 3333, 14, 114, 5, 2851, 2990, 6257, 2566, 3931, 5080, 1988, 179, 88, 2735, 19899, 58, 29399, 6, 7910, 115, 28, 2942, 4, 178, 1135, 5, 1762, 9, 37847, 1283, 15, 5, 477, 6, 51, 26, 14, 5080, 1988, 179, 1484, 429, 6297, 55, 12661, 1061, 87, 5078, 6342, 354, 1484, 4, 50118, 50118, 13624, 6, 949, 7985, 503, 26, 6, 209, 8383, 13596, 5, 3157, 4, 50118, 50118, 1121, 779, 3010, 6, 5, 138, 585, 10, 517, 14, 74, 11166, 14058, 5, 1787, 9, 5080, 1988, 179, 13, 1021, 31835, 40006, 35, 85, 74, 117, 1181, 1331, 5, 1262, 7, 5, 2851, 2990, 6257, 2566, 14, 58, 3931, 24, 88, 2295, 12, 23360, 19899, 4, 50118, 50118, 133, 138, 17, 27, 29, 394, 9, 1152, 709, 23, 14, 86, 6, 6470, 24273, 12, 38980, 4621, 6, 2002, 11, 10, 1601, 14, 5078, 6342, 354, 21, 416, 577, 4, 7905, 6, 79, 26, 14, 148, 10, 6108, 7985, 9472, 9, 5, 138, 17, 27, 29, 5080, 1988, 179, 3021, 2122, 6, 44, 48, 3865, 38987, 29, 58, 1179, 30, 17277, 1330, 7, 5, 2256, 1021, 32188, 304, 9, 5080, 1988, 179, 142, 24, 16, 45, 1887, 6, 13918, 50, 2033, 13, 42, 304, 4, 17, 46, 50118, 50118, 4688, 7985, 1021, 31835, 40006, 781, 6, 29701, 83, 4, 13962, 6, 174, 4025, 14, 5, 138, 56, 3834, 20836, 41370, 5, 1218, 17, 27, 29, 737, 4, 50118, 50118, 1711, 6108, 7985, 9472, 23, 10, 4380, 1342, 7529, 2195, 6, 13962, 174, 39, 4025, 6, 21, 16354, 7, 5, 32475, 1078, 9, 5080, 1988, 179, 11, 1021, 31835, 40006, 4, 2978, 6, 24, 969, 14, 5080, 1988, 179, 56, 57, 16194, 30, 4049, 16710, 6, 10, 4854, 14, 115, 33, 21352, 1668, 1484, 50, 2295, 1484, 4, 50118, 50118, 17, 48, 15887, 1342, 7529, 34, 303, 10, 169, 7, 4887, 7985, 13, 49, 568, 7, 3000, 5, 3854, 9, 5080, 1988, 179, 6, 17, 46, 29701, 875, 7, 4025, 11, 41, 364, 12, 6380, 4, 44, 48, 133, 3021, 936, 23, 49, 2122, 14, 4596, 11, 4049, 11, 49, 1152, 74, 28, 41, 696, 13, 1169, 5, 15, 12, 33480, 15, 438, 4383, 15832, 50, 5, 160, 12, 33480, 1021, 31835, 40006, 15832, 4 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 46, 50118, 50118, 15887, 1342, 7529, 26, 11, 10, 445, 35, 44, 48, 170, 33, 393, 2952, 7, 14058, 5, 1460, 9, 13018, 7, 30871, 5080, 1988, 179, 25, 51, 192, 2564, 13, 49, 1484, 4, 479, 479, 479, 4380, 1342, 7529, 222, 45, 4887, 5, 7985, 8, 362, 5, 568, 12672, 4, 17, 46, 50118, 50118, 42280, 6, 71, 1021, 31835, 119, 10974, 8, 49, 2038, 17537, 34812, 26314, 20934, 7, 4380, 1342, 7529, 17, 27, 29, 517, 7, 3000, 5080, 1988, 179, 647, 93, 51, 190, 3711, 8986, 7, 146, 686, 5, 3041, 9, 5080, 1988, 179, 1143, 93, 4380, 1342, 7529, 4094, 159, 8, 1143, 7, 694, 5, 1262, 7, 5, 2851, 2990, 6257, 2566, 4, 50118, 50118, 21674, 5, 276, 86, 6, 4380, 1342, 7529, 553, 5, 7985, 13, 5537, 7, 464, 5, 5080, 1988, 179, 6929, 7, 20587, 3333, 14, 24, 21, 45, 7, 28, 341, 13, 2473, 4, 20, 7985, 26, 89, 21, 117, 1283, 7, 323, 215, 10, 464, 7, 5, 6929, 4, 50118, 50118, 133, 7985, 2047, 44, 48, 8585, 21, 117, 1078, 12, 3368, 1453, 17327, 38670, 14, 27963, 464, 6, 17, 46, 309, 7, 41, 3425, 1218, 364, 12, 6380, 6, 8, 5, 6929, 21, 45, 1714, 4, 50118, 50118, 5625, 6, 2535, 9, 19899, 9, 5080, 1988, 179, 33, 57, 16556, 5116, 4, 5310, 36861, 5154, 7341, 198, 5, 232, 6, 1786, 19, 65, 373, 37070, 9, 15297, 26129, 2963, 34718, 6, 33, 303, 63, 12833, 6305, 7, 14, 9, 5078, 6342, 354, 4, 572, 5, 230, 26107, 892, 6, 5, 496, 27260, 9, 1309, 1167, 10, 340, 800, 27724, 6, 44, 48, 45784, 5684, 5080, 1988, 179, 8, 5078, 6342, 354, 32, 6681, 2375, 11, 8959, 1046, 12, 3368, 13418, 8244, 27462, 1258, 4, 17, 46, 50118, 50118, 133, 1351, 21, 6140, 30, 5, 38029, 142, 4380, 1342, 7529, 56, 3179, 7, 1296, 5, 2196, 1495, 8, 6, 11, 10, 1108, 31, 539, 6777, 6, 56, 3179, 7, 694, 5, 2196, 7, 168, 2634, 4, 660, 3425, 138, 3780, 1602, 5, 1860, 9, 45, 4655, 10, 1296, 50, 8216, 5, 2196, 25, 44, 48, 179, 5, 3168, 9, 4071, 8, 5, 3168, 9, 1484, 6, 17, 46, 309, 7, 10, 1112, 31202, 1674, 803, 8168, 31, 2266, 4, 50118, 50118, 10105, 24, 56, 2226, 5078, 6342, 354, 6, 5, 138, 26, 6, 44, 48, 8585, 21, 117, 240, 7, 3754, 6143, 1915, 8, 107, 9, 5154, 709, 7, 5393, 5, 1078, 8, 22081, 9, 277, 6150, 4, 17, 46, 50118, 50118, 11321, 5, 230, 26107, 892, 6, 292, 55, 471, 12, 560, 12, 3628, 7341, 33, 57, 2964, 4, 252, 67, 303, 5080, 1988, 179, 95, 25, 2375, 25, 5078, 6342, 354, 4, 50118, 50118, 17, 48, 970, 33, 122, 57, 411, 36861, 5154, 3218, 14, 311, 117, 2249, 11, 5, 538, 911, 9, 1078, 2212, 93, 3257, 6, 1144, 1912, 8, 8579, 6, 17, 46, 26, 1896, 6, 5, 2986, 14107, 3299, 54, 67, 669, 5, 230, 26107, 1500, 4, 50118, 50118, 40566, 6, 4380, 1342, 7529, 34 ]

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

[ 5055, 14, 5, 2196, 32, 11401, 2375, 4, 125, 5, 138, 34, 3811, 14, 5080, 1988, 179, 189, 28, 2702, 77, 341, 11, 2473, 4, 50118, 50118, 17, 48, 133, 3947, 414, 6566, 311, 5550, 11, 1078, 93, 1605, 11, 18029, 1473, 12661, 1061, 93, 227, 5078, 6342, 354, 8, 5080, 1988, 179, 6, 17, 46, 3173, 221, 4, 3086, 354, 6, 720, 471, 9, 1021, 31835, 40006, 23, 4380, 1342, 7529, 6, 26, 11, 41, 1194, 4, 50118, 50118, 4528, 5550, 32, 44, 48, 5605, 30570, 27099, 6, 17, 46, 3086, 354, 26, 6, 142, 3218, 33, 2343, 14, 5080, 1988, 179, 1189, 11, 5, 1925, 1181, 4, 50118, 50118, 133, 1049, 1453, 13, 4380, 1342, 7529, 17, 27, 29, 1078, 4795, 16, 10, 2609, 11, 5, 230, 26107, 1500, 14, 34, 45, 22266, 24845, 11, 143, 9, 5, 511, 292, 7341, 8, 14, 103, 4211, 963, 6203, 4412, 25, 10, 20610, 4, 50118, 50118, 133, 24971, 9, 99, 32, 684, 25, 1473, 12661, 1061, 93, 10, 2916, 1250, 4120, 14, 1171, 1098, 18391, 13, 143, 1219, 93, 21, 2829, 723, 11, 5, 5080, 1988, 179, 333, 35, 843, 135, 1954, 4, 2107, 135, 4, 20, 12661, 1061, 1165, 3187, 12396, 8, 38653, 20197, 11341, 4, 50118, 50118, 17, 48, 133, 1647, 9, 5, 12661, 1061, 74, 28, 1202, 7, 4744, 145, 1726, 30, 5, 1262, 6, 17, 46, 1896, 26, 4, 1896, 1581, 14, 150, 650, 6, 1153, 9624, 3038, 15411, 5078, 6342, 354, 11, 103, 1200, 8, 11, 643, 51, 15411, 5080, 1988, 179, 4, 9081, 197, 28, 5915, 25, 2764, 39830, 1330, 7, 5, 1262, 6, 37, 26, 4, 50118, 50118, 243, 16, 182, 1202, 13, 215, 7341, 7, 10933, 5550, 11, 3159, 1078, 1061, 4, 598, 109, 98, 6, 10, 1500, 429, 240, 55, 87, 158, 6, 151, 1484, 4, 15552, 10, 1500, 9, 14, 1836, 115, 701, 6685, 9, 1932, 4, 50118, 50118, 3972, 356, 13, 3038, 11, 739, 1530, 9, 1484, 6, 2634, 747, 1004, 7, 8999, 1449, 2189, 6, 14951, 141, 1484, 24779, 15, 5, 8289, 11, 864, 4, 85, 16, 42, 761, 9, 1551, 14, 6891, 607, 289, 4, 11292, 6, 10, 5893, 589, 1131, 3097, 6, 3744, 6, 546, 23, 24543, 6, 151, 3186, 1449, 4, 50118, 50118, 4993, 1950, 18624, 13, 3186, 8, 3696, 12720, 6, 11292, 8, 69, 4025, 303, 14, 89, 21, 117, 2249, 11, 5, 1078, 11729, 11, 5, 2196, 4, 50118, 50118, 17, 48, 1121, 6427, 6, 52, 303, 117, 1283, 9, 1130, 2476, 9, 15812, 6, 127, 43682, 2617, 4047, 271, 14970, 6, 13162, 6, 50, 8579, 6, 17, 46, 49, 557, 2225, 26, 4, 50118, 50118, 133, 97, 4854, 7, 634, 5080, 1988, 179, 6, 959, 6, 34, 7671, 10, 319, 9, 13698, 11, 485, 107, 4, 50118, 50118, 133, 754, 14, 5, 1262, 782, 7, 28, 2851, 2990, 4628, 88, 2735, 19899, 22007, 41, 7510, 9, 810, 142, 24, 5699, 5, 3302, 14, 5, 1262, 115, 28, 25686, 148, 5, 2851, 2990, 6257, 609, 4, 36, 15887, 1342, 7529, 161, 142, 5, 7985, 34 ]

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

[ 45, 2033, 24, 13, 304, 11, 5, 2295, 6, 5, 138, 1395, 7818, 12983, 5080, 1988, 179, 11, 19899, 3901, 13, 5, 2295, 4, 50118, 50118, 40566, 6, 11, 130, 1200, 14, 156, 5, 340, 93, 11, 391, 1261, 6, 7024, 8, 1287, 1422, 93, 95, 215, 10, 936, 34, 38799, 4, 3646, 1484, 2288, 2152, 3360, 872, 25, 10, 898, 4, 50118, 50118, 17, 48, 100, 17, 27, 548, 393, 341, 5080, 1988, 179, 142, 9, 5, 801, 13, 17520, 6, 17, 46, 5432, 226, 4, 1405, 2839, 2385, 482, 10, 17223, 1043, 3019, 6, 7178, 482, 1021, 31835, 119, 6393, 6, 26, 71, 10, 662, 11, 61, 37, 222, 365, 2295, 25747, 4, 44, 48, 6209, 24, 10, 3159, 631, 116, 3216, 6, 24, 17, 27, 29, 10, 3159, 631, 4, 125, 38, 64, 17, 27, 90, 1413, 5, 1114, 9, 655, 2758, 127, 1484, 14, 51, 64, 117, 1181, 192, 142, 38, 341, 10, 25686, 1262, 4, 50118, 50118, 17, 48, 41107, 6, 17, 46, 37, 26, 6, 44, 48, 100, 218, 17, 27, 90, 206, 5, 1823, 418, 145, 1240, 13, 5078, 6342, 354, 16, 4940, 14260, 142, 24, 17, 27, 29, 164, 88, 557, 8, 709, 4, 17, 46, 50118, 50118, 1708, 25, 1405, 2839, 1581, 6, 5, 11801, 9, 17520, 16, 36334, 4, 13288, 2368, 6, 2213, 9, 1583, 9, 25747, 32, 385, 30304, 66, 358, 76, 396, 3605, 6, 442, 5, 810, 9, 17520, 11, 2851, 2990, 6257, 2735, 87, 5, 2476, 14, 3333, 12880, 8861, 77, 8997, 15, 10, 1416, 4, 50118, 50118, 18259, 10, 3186, 1516, 5080, 1988, 179, 6, 5078, 6342, 354, 50, 5, 92, 1262, 381, 14143, 102, 7971, 15, 41, 8932, 9, 2433, 4, 993, 3333, 304, 129, 65, 9, 5, 2196, 131, 103, 905, 49, 1484, 2807, 131, 171, 2390, 32, 10346, 30, 549, 5, 3186, 17, 27, 29, 1911, 4865, 5, 1445, 701, 50, 95, 10, 4745, 131, 8, 103, 3333, 189, 1701, 141, 203, 51, 4073, 19, 349, 1262, 4, 50118, 50118, 10567, 4171, 6, 10, 4766, 1021, 31835, 119, 6393, 54, 16, 394, 9, 5, 470, 3930, 9, 9944, 6204, 3672, 1952, 6, 1581, 14, 144, 3333, 304, 5080, 1988, 179, 8, 14, 190, 55, 74, 109, 98, 114, 5, 138, 2952, 7985, 2846, 13, 634, 24, 11, 2473, 8, 20605, 24, 11, 3901, 19899, 4, 50118, 50118, 17, 48, 1106, 4380, 1342, 7529, 1276, 7, 120, 7985, 2846, 8, 146, 5080, 1988, 179, 577, 11, 650, 20631, 13, 5, 2295, 6, 17, 46, 37, 26, 6, 44, 48, 627, 470, 3930, 9, 9944, 6204, 3672, 1952, 74, 19477, 4, 17, 46, 2, 0, 7605, 5, 22, 34033, 173, 114, 47, 64, 120, 24, 113, 8429, 6, 5, 188, 469, 1513, 265, 2810, 1661, 42, 8707, 5, 97, 183, 35, 22, 24522, 312, 4903, 7968, 7, 158, 17907, 72, 440, 6, 42, 965, 75, 59, 18163, 3629, 145, 1199, 13, 49, 2793, 8, 32578, 785, 6, 10, 897, 2206, 13499, 4, 85, 16, 10, 527, 9, 4445, 1391, 4389, 6, 5, 12899, 12, 8024, 16139, 1626 ]

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

[ 9, 5, 613, 232, 4, 50118, 50118, 1213, 32, 730, 18, 299, 12, 16319, 418, 6040, 6, 6539, 11, 55, 87, 1569, 2690, 6, 299, 4131, 6, 190, 3454, 17696, 4, 252, 3805, 7, 23795, 5, 8036, 6, 8, 13, 205, 1219, 4, 660, 674, 284, 74, 33, 7, 173, 13, 504, 107, 8, 24543, 360, 7, 146, 99, 41, 674, 4445, 1391, 1044, 817, 11, 65, 1946, 4, 166, 531, 70, 356, 101, 41503, 2071, 23, 5, 8751, 7, 106, 4, 50118, 50118, 13755, 51, 966, 24, 116, 252, 1819, 206, 98, 4, 125, 5, 467, 16, 27344, 4, 1648, 77, 4445, 1188, 6, 61, 32, 5072, 380, 6, 28593, 352, 13588, 16326, 9, 915, 812, 6, 218, 75, 109, 143, 357, 87, 210, 2886, 6, 49, 4389, 64, 1656, 409, 19, 5, 6305, 9, 10, 650, 1226, 18, 6250, 4, 50118, 50118, 21031, 5031, 4920, 9, 208, 2562, 1867, 6632, 994, 4, 4920, 18, 1125, 582, 21, 68, 134, 4, 306, 325, 4, 286, 42, 6, 37, 4756, 10, 508, 135, 671, 13, 867, 4, 24661, 205, 6, 235, 116, 19576, 14, 5, 5787, 359, 11253, 18, 1764, 388, 1965, 738, 62, 545, 135, 94, 76, 77, 754, 5137, 11, 8599, 4, 208, 2562, 867, 1199, 10, 654, 135, 819, 4029, 7, 4920, 1135, 5, 784, 12771, 1530, 4, 50118, 50118, 15852, 117, 9208, 16, 65, 9, 5, 1492, 13, 1282, 25, 10, 4445, 1391, 1044, 4, 50118, 50118, 970, 32, 97, 1492, 6, 350, 6, 215, 25, 35, 22, 6766, 75, 655, 120, 88, 5, 265, 9, 442, 383, 4, 2486, 633, 16, 7, 185, 418, 409, 31, 82, 54, 146, 383, 72, 20, 1492, 32, 11110, 352, 29341, 66, 11, 1336, 7, 5293, 10, 8399, 37702, 41, 16928, 30, 6891, 1063, 1517, 279, 6, 10, 1040, 14, 5723, 5, 28415, 46196, 6, 22, 7608, 18635, 17114, 2315, 19685, 19, 208, 28778, 11626, 4995, 730, 18, 12262, 72, 287, 1531, 25, 42, 1040, 16, 7, 1166, 6, 63, 1579, 16, 117, 11339, 948, 4, 50118, 50118, 10350, 1517, 279, 817, 10, 9669, 403, 14, 4445, 1188, 32, 15877, 1572, 14, 23829, 418, 66, 9, 5, 8737, 866, 93, 61, 6670, 785, 6, 18163, 1626, 8, 1639, 588, 518, 93, 8, 30970, 29, 24, 88, 10, 613, 518, 9262, 2242, 10159, 4, 20, 1188, 67, 3803, 103, 9, 5, 275, 664, 23554, 7283, 7, 2914, 2298, 852, 18, 10297, 1195, 87, 3253, 49, 11268, 7, 10, 756, 11, 6150, 50, 2866, 6, 61, 429, 28, 9, 103, 588, 1796, 7, 5, 1537, 205, 4, 50118, 50118, 3972, 146, 213, 4311, 9, 418, 8, 66, 22914, 5, 220, 2173, 6, 1063, 1517, 279, 161, 4445, 1188, 5864, 15, 4964, 14, 32, 747, 2439, 50, 197, 28, 4, 252, 304, 6516, 335, 7, 2937, 418, 31, 36756, 154, 867, 7, 1235, 4, 36, 104, 2562, 16, 855, 23958, 11, 41, 6516, 12, 4328, 8423, 4220, 1592, 252, 2504, 8762, 14, 21922, 5, 210, 7, 49, 1796, 6, 277, 2439, 1760, 4, 1063, 1517, 279, 332, 7, 41, 1194, 14, 2488, 230, 28892 ]

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

[ 6, 5, 1012, 915, 25259, 6, 222, 19, 20, 24265, 4, 175, 11, 61, 37, 905, 9215, 14, 2982, 26660, 1527, 16, 233, 9, 5, 265, 4, 50118, 50118, 713, 2024, 22420, 5, 2026, 9, 4445, 1391, 2732, 14, 5, 1188, 146, 210, 850, 55, 6030, 4, 50118, 50118, 2409, 172, 89, 16, 239, 12, 36274, 1446, 6, 50, 11, 1063, 1517, 279, 18, 2242, 42162, 35, 141, 7, 22, 14600, 15, 5, 1015, 71, 47, 216, 54, 2693, 72, 18635, 1188, 122, 12735, 11554, 7796, 14, 32, 98, 1769, 51, 64, 13789, 88, 10, 2676, 10, 3462, 200, 137, 10, 388, 16, 2162, 50, 1088, 8, 146, 10, 5262, 1963, 4, 152, 2972, 13776, 160, 2535, 9, 1932, 31, 867, 4, 85, 839, 5, 4445, 1188, 218, 75, 575, 59, 5, 1318, 9, 5, 451, 51, 32, 4848, 11, 93, 51, 32, 11, 8, 66, 11, 14770, 3876, 29218, 29, 93, 8, 218, 75, 1807, 5, 5043, 9, 70, 18106, 812, 14146, 1706, 434, 6, 25, 49, 2732, 2026, 4, 50118, 50118, 31339, 9, 5, 153, 12, 11447, 12, 260, 12, 4509, 950, 240, 7, 33, 49, 10297, 3231, 1367, 19, 2105, 3478, 6, 55, 168, 2251, 8, 92, 2556, 6, 215, 25, 10, 613, 5538, 629, 36, 5488, 74, 342, 41, 253, 7, 239, 12, 36274, 1446, 322, 2667, 158, 12, 23972, 582, 34, 4957, 730, 18, 683, 12, 33353, 3854, 9, 12840, 13, 173, 4, 252, 32, 5, 588, 7458, 1975, 10705, 4, 2, 0, 6209, 89, 10, 440, 4, 112, 3229, 253, 15, 4552, 18, 4459, 116, 50118, 50118, 6209, 3173, 27950, 5191, 36, 4652, 43, 5, 275, 9, 4552, 18, 3229, 3587, 116, 36, 2411, 35, 1483, 8639, 1943, 1187, 43, 50118, 50118, 1106, 4552, 18, 1810, 4797, 80, 12, 13637, 16, 25481, 19, 4983, 6, 172, 63, 42611, 8523, 6, 3229, 253, 6, 64, 37775, 2072, 4, 50118, 50118, 36452, 2282, 75, 57, 441, 7, 465, 10, 699, 12, 8267, 440, 4, 112, 3229, 253, 187, 8115, 9166, 12778, 18, 5824, 11, 1014, 4, 616, 19236, 13659, 9166, 12778, 18, 638, 12, 19624, 756, 1153, 965, 75, 10556, 6, 2609, 10, 8134, 8890, 73, 241, 1755, 9404, 1856, 259, 74, 28, 10, 1233, 2501, 4, 50118, 50118, 21910, 3095, 197, 45, 236, 13, 1735, 4, 5994, 490, 1465, 29441, 2782, 931, 1189, 7, 28, 450, 4, 50118, 50118, 487, 29636, 3842, 37279, 50118, 50118, 14009, 5097, 6, 231, 12, 245, 6, 33921, 2697, 6, 248, 12, 104, 338, 4, 50118, 50118, 26222, 27950, 5191, 6, 231, 12, 246, 6, 5773, 6, 8482, 4, 50118, 50118, 25285, 8234, 22137, 6, 231, 12, 406, 6, 5773, 6, 248, 12, 40774, 4, 50118, 50118, 36525, 22733, 6, 231, 12, 245, 6, 38129, 6, 248, 12, 2847, 4, 50118, 50118, 34057, 274, 33306, 6, 231, 12, 401, 6, 31738, 6, 407, 4, 50118, 50118, 38150, 7318, 4663, 6, 231, 12, 245, 6, 15751, 6, 4967, 4, 50118, 50118, 1729, 28842, 83, 7136, 2191, 6997, 4154, 20196, 116, 50118, 50118, 10993, 6, 24, 18, 966, 19280, 14, 2941, 6320, 10450, 1153 ]

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

[ 630, 75, 6187, 13, 132, 6, 151, 12, 7269, 1314, 11, 777, 396, 205, 3229, 253, 310, 4, 407, 24, 18, 45, 101, 4552, 16, 1158, 31, 12272, 4, 50118, 50118, 133, 864, 16, 549, 65, 9, 5, 15785, 411, 472, 480, 8, 14, 18, 358, 3229, 253, 15, 4552, 18, 4459, 23, 1455, 480, 64, 891, 4292, 8890, 19, 103, 2806, 1856, 4, 50118, 50118, 10285, 191, 6, 130, 472, 36, 347, 994, 5191, 6, 274, 33306, 8, 5097, 43, 2771, 13, 158, 8758, 6, 6164, 1314, 8, 65, 3799, 36, 597, 33306, 322, 280, 27747, 5, 1445, 2806, 4195, 9, 5, 737, 333, 11, 777, 4, 4552, 18, 11948, 11, 5, 3133, 177, 1819, 3112, 1684, 3229, 253, 6, 53, 3855, 259, 74, 12397, 5, 5082, 366, 4733, 108, 1735, 149, 5, 935, 6, 2532, 3625, 4, 50118, 50118, 33867, 1571, 8, 676, 115, 492, 27950, 5191, 5, 419, 3543, 4, 832, 5694, 25, 10, 31639, 94, 191, 32, 1581, 11, 39, 781, 165, 24613, 4, 50118, 50118, 597, 33306, 108, 25211, 817, 123, 41, 6043, 2031, 6, 36312, 103, 17941, 7, 9166, 12778, 18, 2496, 9, 310, 23, 5, 737, 4, 50118, 50118, 1708, 6, 95, 25, 19, 4552, 18, 4797, 19006, 6, 89, 32, 117, 12360, 4558, 15, 5, 4459, 235, 122, 4, 50118, 50118, 597, 26306, 305, 11200, 50118, 50118, 27359, 3850, 14543, 4322, 2315, 5, 12421, 4239, 5512, 1847, 3476, 2781, 7, 110, 11106, 166, 214, 6661, 6, 53, 402, 439, 1593, 20, 665, 340, 11, 12421, 9518, 8, 5, 232, 9, 4243, 1612, 4, 3401, 860, 456, 1010, 6, 50, 1511, 19458, 1841, 23, 112, 12, 22410, 12, 30628, 12, 5479, 2518, 4, 25059, 35, 2083, 111, 12860, 38539, 1047, 1100, 3837, 47, 328, 370, 214, 818, 1419, 62, 13, 12421, 4239, 5512, 1847, 7238, 41, 2295, 66, 13, 41, 1047, 7, 4559, 110, 3476, 5770, 4, 901, 23593, 50118, 50118, 387, 1168, 12778, 21, 10, 4096, 2125, 9, 41, 2970, 14, 669, 5, 1019, 11, 3133, 80, 2516, 41197, 6608, 4, 832, 5171, 94, 191, 21, 6681, 913, 2650, 4, 50118, 50118, 34790, 6, 42, 333, 8613, 8249, 13, 1903, 1119, 10, 638, 12, 19624, 6404, 908, 13, 10450, 94, 1136, 4, 178, 89, 18, 801, 23, 3617, 5284, 4, 50118, 50118, 1708, 19, 13320, 12314, 12706, 2245, 8, 124, 13, 65, 55, 191, 6, 4552, 18, 3133, 177, 531, 26568, 5, 2718, 19688, 114, 35089, 1072, 7, 310, 88, 5, 7972, 4, 50118, 50118, 2847, 52, 671, 7, 5, 864, 35, 1534, 89, 10, 440, 4, 112, 3229, 253, 15, 4552, 18, 4459, 116, 318, 98, 6, 141, 1335, 40, 37, 311, 1003, 116, 50118, 50118, 30991, 29206, 25815, 13091, 21735, 104, 50118, 50118, 12444, 24391, 1644, 50118, 50118, 42900, 124, 50118, 50118, 43755, 4797, 50118, 50118, 18622, 2141, 4439, 7537, 384, 3121, 397, 15, 599, 35, 787, 1301, 1488, 673, 3121, 397, 4, 50118, 50118, 25439, 50, 1702, 42, 527, 35, 2054, 640, 2028, 219, 4, 620, 73, 134, 100, 406, 506, 387, 401, 717, 2, 0, 510, 11286, 13, 10, 1307 ]

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

[ 6, 420, 12, 627, 12, 4929, 629, 847, 11, 5, 507, 76, 9, 39, 301, 6, 270, 610, 274, 4, 5076, 4768, 5, 1114, 14, 24, 74, 712, 5, 1126, 11, 5, 251, 422, 35, 44, 48, 2765, 8201, 629, 921, 30963, 7, 92, 1315, 8, 92, 434, 6, 17, 46, 37, 2998, 6, 44, 48, 627, 39553, 9, 42, 2450, 220, 76, 40, 2140, 55, 87, 146, 62, 11, 92, 903, 70, 14, 24, 40, 3225, 701, 4, 17, 46, 50118, 50118, 1779, 16629, 5, 5184, 9, 270, 5076, 654, 107, 71, 39, 744, 6, 5226, 38, 763, 312, 3937, 817, 5, 403, 14, 5076, 938, 17, 27, 90, 99, 52, 206, 35, 20, 1270, 9, 39, 92, 1040, 44, 48, 863, 41489, 6, 6855, 17, 46, 161, 24, 70, 4, 50118, 50118, 5320, 3937, 22533, 66, 5076, 17, 27, 29, 11039, 1475, 12, 27217, 1809, 6, 39, 3458, 27022, 36, 700, 851, 3975, 12, 805, 13467, 9, 10, 761, 21656, 13312, 4621, 429, 1701, 5004, 452, 43, 8, 39, 8973, 13, 614, 16567, 6, 10, 670, 1404, 6, 481, 721, 6, 629, 2599, 6, 481, 6789, 8, 1736, 2640, 4, 318, 29889, 58, 259, 452, 6, 37, 74, 1169, 33, 7, 14237, 15810, 144, 9, 99, 37, 3359, 13, 50, 1962, 5, 1172, 537, 4, 50118, 50118, 8170, 25, 628, 25, 5114, 6, 1787, 12, 3730, 1986, 115, 28, 16978, 25, 44, 48, 705, 40392, 10492, 17, 46, 30, 1655, 289, 4, 771, 4, 3516, 6, 53, 137, 5, 1385, 21, 1406, 1538, 5076, 21, 41, 21668, 2088, 1787, 12, 29, 5326, 4, 85, 17, 27, 29, 505, 7, 489, 11, 1508, 141, 16616, 24219, 10, 6663, 42, 21, 4, 20, 10121, 9, 33897, 811, 776, 6680, 11, 5, 3169, 40024, 1724, 21, 1498, 4, 85, 21, 1622, 551, 13, 4159, 30, 5, 1673, 1380, 14, 5, 168, 956, 7, 19770, 5, 866, 19, 30574, 1408, 148, 14013, 29, 4, 509, 4988, 7, 5076, 6, 5, 33897, 44352, 610, 12394, 4537, 15571, 3432, 6, 3811, 25, 203, 4, 20, 885, 7165, 1173, 5076, 1622, 34430, 123, 19, 5, 618, 9, 9175, 7, 666, 4, 50118, 50118, 39361, 14425, 17136, 10, 538, 7306, 36, 102, 23323, 23, 41, 1013, 1538, 731, 9, 292, 135, 11, 5, 887, 297, 9, 7571, 43, 53, 1682, 1897, 1408, 5072, 3269, 150, 6854, 154, 62, 831, 8, 4886, 1408, 4, 3791, 37, 222, 9383, 1949, 81, 10, 564, 135, 712, 36, 2137, 80, 107, 43, 11, 5, 752, 3527, 5007, 8, 1709, 484, 1897, 1767, 8055, 30, 19561, 217, 689, 22957, 8, 99, 1059, 8999, 77, 24, 21, 1595, 11, 18202, 6, 37, 32435, 3995, 1844, 24460, 9, 5, 31250, 2712, 9, 5, 194, 4, 8098, 3309, 234, 3343, 17, 27, 29, 1475, 12, 4030, 10979, 1040, 44, 48, 2522, 40603, 6, 5, 331, 17, 46, 21, 10, 3149, 29889, 1682, 23, 39, 2278, 184, 11, 5, 9323, 29, 8, 37, 2128, 13314, 5, 1040, 11, 285, 1997, 4, 44, 48, 100, 109, 45, 679, 11, 10, 2422, 194, 6, 17, 46, 37, 26, 11 ]

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

[ 10, 7571, 1901, 11, 61, 37, 2998, 1003, 10, 6176, 6, 19, 2016, 21925, 14, 156, 123, 2369, 55, 101, 65, 9, 452, 17, 27, 29, 9930, 4, 44, 48, 100, 192, 117, 8375, 7, 629, 1932, 61, 32, 1051, 7, 663, 8, 172, 1835, 6, 17, 46, 37, 1143, 6, 2793, 352, 39186, 2787, 5, 748, 40392, 10492, 9, 33897, 811, 1809, 4, 44, 48, 100, 109, 45, 4402, 194, 44078, 77, 11659, 1736, 1351, 64, 109, 5, 633, 8, 109, 24, 157, 4, 17, 46, 50118, 50118, 8170, 5076, 17, 27, 29, 44, 48, 4970, 99, 47, 64, 109, 13, 110, 247, 17, 46, 516, 189, 45, 28, 25, 22577, 41, 13746, 9, 194, 21030, 25, 24, 2092, 35, 5878, 1557, 27133, 8, 30297, 405, 1573, 10484, 2046, 24, 21, 1622, 10, 44, 48, 9635, 1172, 12, 36381, 17605, 23, 5, 6642, 194, 4, 17, 46, 29889, 399, 17, 27, 90, 2045, 7, 31437, 99, 74, 1369, 7, 8999, 6, 1765, 24, 44, 48, 102, 182, 6473, 2570, 847, 7, 972, 3668, 4499, 782, 6, 8, 19, 7719, 44, 711, 17452, 21491, 4748, 17, 27, 3471, 7, 21662, 143, 475, 8279, 2961, 50, 10495, 22002, 154, 9, 84, 4815, 4, 17, 46, 91, 67, 2330, 3946, 10, 2918, 2570, 7, 1888, 5, 173, 186, 31, 843, 722, 7, 1718, 4, 91, 1682, 16567, 6473, 36, 12724, 1229, 765, 18055, 13, 20990, 12, 5449, 58, 6, 77, 11563, 9315, 6, 129, 2829, 55, 87, 5, 23342, 3781, 1937, 238, 4925, 10, 8414, 6, 2680, 12, 17329, 425, 9, 68, 2022, 7, 5, 10671, 9, 1637, 8, 6, 1135, 39, 25665, 5144, 8770, 59, 10, 188, 21246, 6, 18699, 5, 5374, 8989, 25, 1622, 10, 92, 760, 11, 5, 7810, 1771, 35, 44, 48, 15173, 14, 52, 109, 269, 12960, 7, 28, 3016, 11, 7, 562, 2500, 5, 6950, 8, 789, 9, 5, 8241, 13361, 42815, 52, 4395, 17, 27, 90, 28, 1408, 42, 761, 9, 418, 6, 142, 38, 17, 27, 119, 45, 14, 2509, 11, 980, 4, 17, 46, 50118, 50118, 39361, 14425, 1875, 5, 8533, 9, 39, 1007, 13, 9375, 35754, 5358, 8, 30130, 62, 1048, 23, 184, 4, 221, 11286, 13, 44, 48, 627, 31848, 678, 2450, 9, 11091, 4878, 6, 17, 46, 5076, 156, 10, 21881, 2868, 4, 96, 19515, 37, 26, 6, 44, 48, 133, 470, 2267, 1795, 144, 9, 70, 31, 41, 712, 11, 1093, 721, 4, 5902, 8303, 492, 123, 10, 6012, 2031, 9, 785, 23, 2695, 850, 13361, 133, 8383, 136, 1130, 5058, 716, 2115, 5, 795, 672, 9, 6729, 1199, 11, 97, 749, 32, 45, 2758, 5, 1086, 527, 4, 17, 46, 178, 37, 355, 14, 5, 44, 48, 39142, 366, 39305, 9, 5, 481, 210, 17, 46, 21, 44, 48, 3654, 10, 12740, 10561, 17, 46, 53, 16, 44, 48, 281, 793, 25, 3519, 1495, 4, 17, 46, 5076, 2584, 15, 10, 6295, 20628, 19, 45747, 2211, 4, 726, 16603, 8482, 4, 59, 5, 33975, 9, 33897, 811, 1809, 35, 16603, 423, 26, 6, 44, 48, 100, 802, 5, 588, 782 ]

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

[ 9, 84, 2313, 4477, 11, 5, 39672, 5073, 9, 474, 6, 1265, 6, 4264, 4, 1216, 58, 2743, 11, 5, 285, 1293, 4, 1491, 5, 940, 1293, 4, 17, 46, 91, 67, 2449, 385, 2126, 352, 14, 44, 48, 25252, 2556, 32, 847, 6, 51, 32, 45, 533, 7, 28, 769, 24039, 4, 17, 46, 50118, 50118, 46149, 6, 6849, 5076, 6, 54, 6238, 14, 129, 4398, 629, 2599, 694, 10, 1528, 776, 8931, 142, 2360, 54, 1057, 49, 2556, 7, 213, 235, 124, 62, 71, 10, 1151, 1766, 8673, 3805, 7, 1930, 27225, 4, 44, 48, 3972, 712, 1077, 8, 5258, 84, 866, 6, 17, 46, 37, 26, 11, 19515, 6, 44, 48, 627, 1853, 1621, 17, 27, 29, 144, 5616, 774, 16, 45, 7, 6187, 88, 10, 586, 9, 10079, 3488, 11, 285, 14300, 6, 53, 7, 3003, 5, 9643, 8, 1616, 13, 940, 14300, 13361, 627, 3968, 4854, 16, 10, 629, 847, 350, 410, 50, 350, 628, 7, 28, 2375, 4, 17, 46, 1858, 6, 11, 937, 6, 1687, 5, 1114, 9, 629, 2599, 13508, 6, 8, 11, 5, 5076, 12, 487, 28427, 14759, 24, 21, 5, 320, 54, 475, 6199, 59, 5, 23924, 240, 7, 712, 2556, 4, 5076, 190, 18699, 39, 629, 3500, 25, 10, 5280, 3941, 696, 35, 44, 48, 1121, 18733, 37, 11590, 15, 39, 629, 847, 7, 1888, 35206, 5755, 6, 17, 46, 875, 39, 4988, 9411, 1811, 1634, 6082, 4, 50118, 50118, 243, 17, 27, 29, 818, 4703, 7, 2170, 10, 3661, 190, 2686, 42, 169, 5988, 6, 8, 648, 5076, 1432, 62, 15, 39, 9734, 19, 814, 4, 287, 39, 1901, 9408, 8115, 208, 1688, 6852, 225, 342, 24, 6, 44, 48, 1121, 2358, 3510, 6, 37, 21, 2778, 3354, 6, 182, 9420, 59, 5, 1836, 9, 5, 1229, 4, 17, 46, 91, 439, 15, 7, 224, 6, 107, 423, 14, 5076, 6, 44, 48, 20042, 2006, 1003, 25, 10, 6176, 13361, 261, 2358, 3510, 37, 21, 55, 3354, 87, 143, 394, 52, 17, 27, 548, 56, 187, 4, 374, 1442, 4, 820, 6, 18733, 6, 5, 34619, 4243, 26671, 149, 3160, 21, 3475, 13, 3339, 13399, 6, 147, 5076, 1904, 7, 224, 209, 1617, 35, 44, 48, 1409, 6780, 10, 55, 4375, 672, 9, 850, 87, 818, 143, 9, 84, 4886, 6117, 6, 8, 30, 3931, 1081, 8, 2365, 1425, 2556, 30, 103, 68, 1225, 325, 6, 25, 38, 33, 1850, 6, 646, 1694, 40, 742, 14144, 42, 5857, 9, 5, 6463, 8, 8260, 2919, 11, 84, 32647, 16093, 776, 750, 4, 17, 46, 9317, 11625, 1705, 17, 27, 90, 33, 26, 24, 357, 4, 2, 0, 170, 17, 27, 241, 460, 1576, 141, 3214, 24, 16, 7, 836, 62, 10, 1928, 53, 42, 630, 17, 27, 90, 33, 7, 28, 5, 403, 4, 370, 64, 4960, 14, 1928, 4, 318, 47, 17, 27, 241, 10161, 22129, 8, 2882, 7, 7932, 6, 89, 17, 27, 29, 117, 240, 7, 4627, 5, 1229, 77, 110, 92, 5237, 9447, 5, 284, 4, 1398, 32, 103, 4965, 15, 141, 7, 1871, 418, 15, 1928 ]

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

[ 1964, 4, 50118, 50118, 134, 4, 1336, 4874, 16, 5, 6880, 116, 50118, 50118, 133, 674, 889, 9, 1928, 12, 3368, 531, 12, 298, 9419, 16, 1256, 10222, 53, 45, 70, 9, 106, 32, 4874, 28146, 4, 318, 47, 17, 27, 241, 92, 7, 5, 19540, 232, 6, 24, 64, 28, 182, 543, 7, 1137, 5, 2249, 227, 99, 47, 240, 8, 99, 32, 95, 13185, 30109, 14, 32, 2579, 7, 33, 114, 47, 64, 4960, 24, 4, 8479, 66, 82, 54, 33, 1613, 149, 5, 78, 76, 9, 181, 40532, 8, 1394, 106, 61, 1964, 51, 269, 956, 4, 50118, 50118, 176, 4, 4665, 865, 965, 17, 27, 90, 4784, 28510, 50118, 50118, 250, 319, 9, 5, 383, 14, 47, 17, 27, 890, 28, 2159, 40, 129, 28, 11, 304, 13, 10, 948, 9, 377, 98, 24, 817, 410, 1472, 7, 907, 960, 1518, 92, 114, 47, 17, 27, 241, 15, 10, 1229, 4, 1599, 17, 27, 90, 28, 6023, 7, 907, 200, 865, 1964, 101, 1928, 28648, 13937, 147, 678, 6, 53, 28, 686, 7, 1649, 14, 99, 47, 17, 27, 241, 2159, 6616, 5, 4249, 474, 8, 1078, 2820, 6, 941, 13, 10306, 44279, 8, 5, 101, 4, 1599, 17, 27, 90, 356, 7, 907, 341, 512, 3202, 600, 25, 47, 64, 17, 27, 90, 28, 686, 9, 49, 1078, 8, 549, 51, 33, 1433, 57, 963, 11, 41, 3213, 4, 50118, 50118, 246, 4, 44137, 110, 5935, 25, 203, 25, 47, 64, 50118, 50118, 243, 17, 27, 29, 25057, 7, 6187, 66, 8, 386, 2159, 1928, 1964, 31, 5, 1151, 14, 110, 6690, 16, 1474, 53, 42, 40, 16561, 1266, 14, 47, 1930, 10, 9712, 1280, 9, 418, 4, 318, 47, 216, 97, 82, 54, 33, 56, 1159, 11, 5, 94, 367, 107, 6, 47, 189, 157, 120, 576, 10, 319, 9, 49, 2471, 12, 10816, 14, 51, 17, 27, 241, 5609, 7, 120, 7495, 9, 4, 152, 64, 1871, 47, 519, 7, 907, 10, 319, 9, 5, 17293, 8, 47, 64, 14410, 15, 8794, 11, 5, 10778, 4, 286, 144, 1041, 12, 560, 12, 1610, 6, 2159, 1964, 15, 5, 160, 12, 32207, 14, 51, 17, 27, 890, 28, 956, 839, 14, 51, 253, 62, 21025, 10, 319, 9, 418, 4, 318, 47, 17, 27, 241, 10025, 615, 6, 47, 429, 236, 7, 989, 5, 1964, 14, 47, 17, 27, 241, 45, 686, 549, 47, 17, 27, 890, 240, 454, 71, 5, 3113, 98, 14, 47, 351, 17, 27, 90, 3844, 418, 15, 383, 14, 47, 17, 27, 890, 393, 304, 4, 50118, 50118, 306, 4, 6893, 13, 21936, 5069, 50118, 50118, 36428, 110, 1928, 12, 3368, 3482, 6, 356, 66, 13, 647, 8, 12018, 14, 47, 64, 185, 2093, 9, 4, 370, 64, 747, 1871, 418, 30, 3482, 804, 98, 24, 17, 27, 29, 966, 2396, 41, 2295, 15, 99, 647, 32, 15, 6, 190, 114, 110, 528, 1248, 965, 17, 27, 90, 13, 484, 377, 4, 9129, 198, 7, 146, 686, 14, 47, 17, 27, 241, 269, 562, 5, 275, 432, 4, 50118, 50118, 15852 ]

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

[ 10, 1928, 630, 17, 27, 90, 240, 7, 28, 25, 9400, 25, 16, 747, 1695, 6, 8, 24, 17, 27, 29, 2299, 678, 7, 1871, 418, 11, 42, 443, 396, 25985, 15, 110, 92, 12, 5400, 17, 27, 29, 386, 11, 301, 4, 1599, 17, 27, 90, 619, 14, 47, 17, 27, 890, 240, 7, 907, 960, 15, 5131, 1928, 8204, 126, 114, 47, 1067, 7, 97, 1041, 6, 47, 17, 27, 890, 1153, 465, 14, 51, 14260, 418, 8, 303, 14, 51, 58, 2198, 81, 12, 5234, 33160, 4, 178, 114, 47, 236, 6, 1649, 66, 35585, 5, 1018, 4, 252, 64, 244, 47, 465, 321, 207, 1361, 3591, 61, 40, 28, 269, 14732, 77, 442, 70, 9, 209, 1928, 5935, 4, 5293, 686, 47, 582, 106, 160, 11, 455, 23, 5, 253, 9, 5, 353, 600, 6, 3680, 1928, 5418, 351, 17, 27, 90, 28, 110, 129, 4022, 4, 50118, 50118, 2847, 6, 141, 33, 47, 5305, 418, 15, 1928, 1042, 116, 3401, 458, 4, 2, 0, 597, 895, 625, 3338, 26, 1169, 284, 50, 249, 24910, 21165, 17, 27, 29, 12373, 7, 2097, 123, 7290, 7, 1854, 80, 107, 536, 50118, 50118, 23122, 4679, 7844, 2218, 710, 424, 21165, 2800, 2715, 331, 8, 1381, 7, 1504, 7, 1854, 53, 21, 2294, 30, 284, 453, 6, 10, 5407, 34, 26, 4, 50118, 50118, 597, 895, 625, 3338, 6, 1060, 11204, 525, 36000, 23269, 21, 2997, 7, 21165, 6, 26, 37, 2047, 1169, 284, 50, 249, 56, 24910, 21165, 17, 27, 29, 12373, 7, 2097, 123, 31, 7290, 7, 5, 3050, 12, 25566, 247, 59, 80, 107, 536, 4, 50118, 50118, 530, 4134, 6, 2491, 6, 31, 3105, 2596, 6, 3017, 928, 6, 26, 21165, 56, 44, 48, 13858, 30095, 661, 2728, 17, 46, 14, 4024, 123, 7, 124, 2715, 331, 8, 74, 1183, 4157, 1198, 19040, 804, 4, 50118, 50118, 894, 26, 35, 44, 48, 100, 17, 27, 548, 1317, 31, 127, 284, 453, 14, 37, 770, 7, 989, 69, 646, 12724, 1141, 742, 25, 37, 56, 708, 7, 213, 7, 1854, 4, 38, 17, 27, 548, 1317, 14, 39, 284, 33, 2294, 123, 8, 39, 12373, 429, 646, 11990, 57, 742, 551, 30, 39, 985, 6, 1150, 50, 249, 4, 17, 46, 50118, 50118, 1708, 90, 56, 44, 48, 13858, 30095, 661, 2728, 17, 46, 6, 3338, 26, 6, 61, 56, 669, 123, 7, 323, 38931, 4, 44, 48, 100, 216, 37, 21, 4083, 30, 65, 9, 5, 1198, 19040, 54, 32, 1311, 25798, 15, 4037, 4, 50118, 50118, 894, 21, 9, 5, 2979, 14, 99, 16, 608, 11, 38931, 6, 11, 5, 766, 9, 1840, 6, 16, 1341, 14267, 4, 17, 46, 50118, 50118, 46688, 549, 37, 56, 655, 1299, 14, 37, 197, 33, 431, 21165, 7, 249, 6, 3338, 26, 35, 44, 48, 9497, 416, 216, 209, 383, 8, 37, 56, 416, 57, 576, 10, 2892, 4, 17, 46, 50118, 50118, 530, 4134, 21, 2686, 751, 5, 121, 5471, 895, 18961, 2521, 6, 10, 6545, 11, 38, 13491, 3109, 2922, 30, 21165, 6, 61, 21, 10593, 15 ]

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

[ 296, 30, 249, 1024, 4, 50118, 50118, 3376, 2915, 15308, 4756, 30, 5, 1513, 311, 21165, 529, 751, 5, 6545, 19, 2598, 13463, 248, 1488, 808, 1211, 1438, 1728, 8, 370, 1090, 3145, 525, 7669, 3178, 23, 5832, 15, 1132, 392, 6, 292, 360, 137, 51, 1660, 49, 908, 15, 928, 4679, 8, 19618, 1018, 4, 50118, 50118, 133, 3156, 311, 1211, 1438, 1728, 9405, 39, 1028, 15, 5, 1929, 6, 137, 5, 604, 517, 159, 5, 921, 13, 158, 728, 8, 172, 671, 4, 21165, 13328, 5, 6545, 6, 61, 16, 6238, 7, 490, 454, 155, 424, 148, 23828, 7, 9824, 30290, 6299, 4, 50118, 50118, 530, 4134, 26, 35, 44, 48, 133, 94, 86, 38, 794, 2218, 710, 424, 646, 7325, 742, 5, 183, 137, 37, 222, 42, 631, 4, 17, 46, 252, 56, 26663, 88, 349, 97, 23, 5, 6545, 6, 147, 21165, 21, 17587, 4, 3338, 26, 37, 1770, 123, 13, 10, 9621, 6, 23, 5, 253, 9, 61, 21165, 56, 314, 4, 50118, 50118, 530, 4134, 26, 35, 44, 48, 2387, 1086, 284, 17, 27, 29, 301, 34, 8617, 8, 3625, 1714, 4, 37691, 52, 40, 213, 6, 6069, 9, 549, 52, 32, 5, 1680, 50, 45, 6, 52, 33, 7, 1948, 5, 864, 4, 17, 46, 50118, 50118, 250, 740, 19228, 21, 342, 11, 317, 198, 5, 6545, 15, 296, 8, 423, 2928, 4, 1753, 314, 10, 39990, 3120, 7, 5, 1228, 751, 12000, 690, 14, 24, 21, 10, 3346, 12, 8338, 6545, 4, 50118, 50118, 17, 48, 3750, 513, 457, 9, 84, 1675, 10703, 32, 45, 3346, 4, 166, 32, 490, 8, 10423, 7, 70, 82, 6, 17, 46, 24, 1166, 4, 44, 48, 1121, 1285, 52, 23, 5062, 6545, 32, 6649, 8, 4814, 19934, 30, 5, 1061, 14, 2756, 23, 928, 4679, 8, 19618, 15, 378, 363, 4, 345, 16, 393, 143, 20727, 13, 30416, 39670, 2429, 6321, 4, 50118, 50118, 17, 48, 170, 33, 2213, 9, 82, 1058, 23, 5062, 349, 186, 4, 166, 32, 10, 10423, 8, 490, 233, 9, 5, 435, 4, 616, 427, 21165, 222, 10930, 2341, 259, 23, 5062, 6545, 52, 109, 45, 216, 123, 157, 3486, 222, 52, 192, 932, 9, 2212, 6, 52, 40, 9, 768, 244, 5, 249, 11, 143, 169, 52, 64, 4, 50118, 50118, 17, 48, 1121, 209, 4087, 498, 24, 16, 505, 52, 70, 1413, 10409, 6, 52, 531, 1877, 34371, 1295, 143, 233, 9, 5, 435, 4, 17, 46, 50118, 50118, 15622, 604, 58, 1128, 11, 38, 13491, 3109, 11, 5, 419, 722, 9, 296, 25, 5, 803, 1143, 88, 5, 2080, 15, 928, 17, 27, 29, 363, 5367, 14, 1695, 5, 1074, 9, 799, 82, 8, 4596, 11, 4295, 9, 1746, 4, 50118, 50118, 250, 1132, 12, 180, 12, 279, 313, 21, 1128, 15, 8551, 9, 4568, 4504, 9, 4952, 31, 10, 4860, 1038, 11, 11384, 877, 1214, 6, 95, 7472, 409, 31, 5, 121, 5471, 895, 18961, 2521, 4, 1596, 643, 58, 1128, 15, 5, 2014, 6, 65, 15, 8551, 9, 7094, 13, 4504, 9, 4952, 6, 5, 97, 15 ]

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

[ 2196, 9971, 4, 50118, 50118, 597, 1222, 337, 23470, 6, 4981, 6, 54, 1074, 5483, 5, 18000, 790, 11, 11384, 877, 1214, 6, 26, 5, 284, 89, 22061, 9, 10, 985, 6, 69, 130, 7250, 8, 5, 1141, 9, 5, 21023, 979, 8, 49, 408, 4, 50118, 50118, 21518, 14915, 26, 37, 56, 6957, 5, 10369, 35, 44, 48, 1213, 646, 24848, 742, 4953, 258, 3587, 19, 41, 30161, 1155, 11, 5, 1692, 9, 5, 2014, 4, 38, 1317, 82, 14487, 44, 711, 17651, 249, 17, 27, 6, 19841, 62, 70, 5, 12258, 6, 172, 51, 185, 3370, 66, 9, 42, 790, 4, 50118, 50118, 133, 14915, 26, 37, 794, 80, 604, 145, 5624, 4, 44, 48, 100, 794, 106, 15, 5, 2014, 6, 6480, 15, 5, 2014, 77, 51, 342, 49, 29374, 15, 126, 6097, 7089, 13, 249, 6, 17, 46, 37, 26, 4, 44, 48, 100, 206, 89, 21, 198, 65, 50, 80, 893, 9, 1475, 12, 26213, 2837, 4, 17, 46, 50118, 50118, 133, 4369, 249, 26, 5, 249, 740, 19228, 198, 5, 1310, 9, 5, 908, 21, 533, 7, 1095, 11, 317, 454, 395, 1559, 23, 5, 13342, 25, 5, 1143, 5, 803, 4, 50118, 50118, 21438, 20, 8707, 9, 42, 1566, 21, 4752, 7, 4227, 5, 2623, 2574, 9, 5, 527, 4, 83, 2559, 1566, 59, 5, 249, 1036, 54, 21, 9229, 11, 5, 908, 34, 57, 1027, 259, 4, 2, 0, 16764, 705, 47318, 520, 5, 70, 12, 4651, 1421, 6, 684, 7, 9724, 18920, 6510, 25, 5, 230, 406, 6, 10189, 7046, 23, 5, 2921, 8229, 2907, 220, 644, 6, 22046, 16, 2563, 2818, 7, 2438, 5, 2345, 9, 1612, 512, 14, 64, 1539, 720, 917, 101, 10482, 6, 15091, 8, 6887, 29624, 2531, 4, 50118, 50118, 243, 17, 27, 29, 251, 57, 684, 25, 44, 48, 12580, 17, 27, 29, 1612, 512, 4, 17, 46, 125, 25, 14297, 1516, 1227, 7, 3825, 66, 5, 665, 1732, 9, 5, 36276, 6, 14, 17, 27, 29, 2563, 117, 1181, 205, 615, 13, 5, 1292, 8484, 2757, 4, 50118, 50118, 1779, 5, 70, 12, 4651, 1421, 6, 684, 7, 9724, 18920, 6510, 25, 5, 230, 406, 6, 10189, 7046, 23, 5, 2921, 8229, 2907, 220, 644, 6, 22046, 16, 2563, 2818, 7, 2438, 5, 2345, 9, 1612, 512, 14, 64, 1539, 720, 917, 101, 10482, 6, 15091, 8, 6887, 29624, 2531, 4, 50118, 50118, 113, 170, 278, 66, 7, 1119, 10, 232, 12, 25324, 3314, 154, 1612, 512, 19, 1521, 6, 41722, 6, 5838, 8, 1305, 4921, 14, 16, 200, 7, 4146, 60, 2998, 34617, 1899, 344, 1780, 611, 1334, 6, 5, 586, 17, 27, 29, 834, 6004, 4, 50118, 50118, 133, 92, 1421, 6, 25, 63, 3260, 766, 39427, 6, 40, 28, 129, 5, 3821, 1732, 9, 5, 36276, 187, 63, 2453, 11, 23443, 4, 1234, 450, 11, 4286, 1026, 23, 5323, 17, 27, 29, 1013, 5512, 2583, 512, 311, 11, 188, 469, 412, 6, 5, 931, 44, 48, 17, 27, 846, 3398, 17, 46, 1335, 2226, 10, 511, 566, 167, 54, 770, 41, 3626, 7 ]

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

[ 5, 2016, 3689, 1212, 1423, 1488, 1872, 6346, 160, 2921, 17, 27, 29, 6559, 2301, 4, 50118, 50118, 26223, 419, 3092, 58, 55, 311, 87, 213, 6, 51, 58, 1406, 1538, 11, 2214, 8, 15, 215, 1012, 924, 25, 44, 48, 43929, 5138, 6, 17, 46, 10, 3710, 651, 14, 1432, 80, 30489, 27068, 5, 124, 3197, 9, 5, 580, 11, 1707, 9, 9733, 4, 50118, 50118, 2765, 5, 628, 7571, 29, 6, 3092, 101, 5, 9227, 36276, 29157, 5022, 56, 12236, 88, 103, 9, 5, 55, 2247, 27596, 655, 2622, 11, 5, 121, 4, 104, 4, 125, 5, 9544, 681, 23485, 9, 5, 6200, 29, 1714, 5, 8568, 19587, 4, 5818, 8407, 2898, 27596, 6835, 5, 2921, 7302, 6, 150, 796, 3595, 2781, 19474, 8, 55, 295, 25794, 10514, 7, 121, 4, 104, 4, 4808, 8, 1612, 512, 4859, 4, 50118, 50118, 5771, 5, 36276, 115, 202, 2438, 5397, 12, 22617, 12040, 19308, 160, 5, 516, 6, 24, 1705, 17, 27, 90, 283, 593, 7, 8150, 5, 5516, 9, 10, 15091, 50, 10482, 11, 5, 12078, 4, 497, 5, 97, 253, 9, 5, 425, 8576, 6, 1791, 2967, 295, 25794, 410, 2898, 3092, 101, 5, 23633, 9109, 2186, 8, 98, 12, 4155, 7666, 19367, 215, 25, 5, 8011, 14906, 4, 50118, 50118, 133, 2921, 4750, 14297, 7441, 5, 1144, 9, 5, 230, 406, 36276, 4, 50118, 50118, 133, 5323, 2757, 9679, 24767, 19, 10, 1998, 12, 11092, 36276, 2942, 11, 7528, 8, 5, 190, 2735, 6, 55, 295, 25794, 230, 401, 14, 13658, 799, 107, 423, 6, 122, 59, 5, 1836, 8, 2408, 9, 10, 15091, 7158, 93, 600, 202, 24764, 5, 8442, 650, 1803, 468, 12, 398, 14, 56, 8852, 2812, 548, 37923, 187, 5, 1084, 12, 43545, 29, 4, 50118, 50118, 15243, 215, 5139, 6, 1170, 30, 22046, 7, 1331, 63, 80, 12, 1090, 5109, 5358, 3491, 410, 14443, 4682, 566, 10, 367, 5163, 841, 54, 770, 402, 27265, 160, 13825, 4, 125, 19, 14297, 452, 5567, 18584, 25, 5323, 17, 27, 29, 483, 1518, 7197, 6, 5, 10948, 4218, 16, 2563, 5551, 63, 796, 4346, 19, 5, 230, 406, 4, 50118, 50118, 2409, 14, 17, 27, 29, 669, 7, 41, 25927, 9, 8762, 59, 99, 17, 27, 29, 11, 1400, 4, 8451, 11, 63, 709, 6, 89, 21, 6116, 14, 22046, 8610, 74, 3294, 7, 10, 6887, 29624, 2531, 12, 3341, 1084, 23403, 18472, 6, 50, 29682, 7, 5, 2345, 9, 650, 6, 239, 12, 9406, 21124, 50, 2422, 18716, 411, 12, 29046, 7026, 476, 7717, 15411, 30, 97, 796, 6117, 4, 50118, 50118, 1620, 5, 709, 586, 3885, 13, 5, 2073, 516, 6, 10258, 2347, 33, 5812, 18914, 66, 2018, 14, 5, 92, 36276, 351, 17, 27, 90, 28, 823, 25, 7371, 25, 103, 56, 5291, 4, 20, 777, 1421, 2092, 7, 28, 3667, 5, 276, 1836, 25, 5, 595, 230, 401, 6, 1712, 24, 17, 27, 29, 421, 7, 146, 304, 9, 92, 3183, 8, 3319, 3021, 7373, 14, 40, 898, 11, 10, 1612, 512, 14, 17, 27, 29, 13026, 6, 55, 16482, 48009, 3435, 5693 ]

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

[ 8, 10, 319, 55, 295, 25794, 4, 50118, 50118, 38488, 6, 5, 92, 230, 406, 36276, 40, 2438, 190, 55, 476, 87, 137, 4, 22046, 42, 186, 1487, 5, 220, 12, 11092, 23614, 134, 3819, 6, 10, 231, 4, 176, 12, 19402, 650, 1803, 14, 16, 421, 7, 146, 44, 48, 415, 513, 17, 46, 13411, 22325, 8, 13411, 2767, 12, 642, 12363, 9, 20173, 93, 291, 22325, 8, 973, 2767, 12, 642, 12363, 55, 87, 5, 14234, 29881, 246, 468, 12, 398, 4, 50118, 50118, 591, 2870, 152, 2432, 1070, 2870, 1345, 703, 30, 1292, 8484, 924, 10, 23443, 14297, 36276, 4, 520, 5, 70, 12, 4651, 1421, 10189, 7046, 23, 5, 2921, 8229, 2907, 220, 644, 6, 24, 40, 28, 129, 5, 3821, 1732, 9, 5, 36276, 187, 63, 2453, 11, 23443, 4, 50118, 50118, 1106, 5, 92, 80, 12, 1090, 5109, 16, 5329, 10030, 13026, 87, 5, 14234, 36276, 6, 14, 74, 40173, 10, 538, 3855, 11, 63, 476, 12, 560, 12, 4301, 1750, 4, 286, 5, 1151, 6, 344, 1780, 611, 1334, 16, 129, 11602, 154, 14, 24, 40, 2438, 4276, 12, 560, 12, 2466, 498, 9, 204, 4, 288, 2397, 50, 540, 6, 44, 48, 463, 14, 16, 15, 5, 3555, 12, 4483, 1155, 4, 17, 46, 22046, 34, 648, 7, 4991, 99, 24, 34, 11, 1400, 13, 5, 1804, 12, 31855, 36276, 525, 4124, 8, 525, 500, 134, 7952, 4, 50118, 50118, 970, 189, 648, 28, 103, 14685, 6, 215, 25, 10, 650, 6, 239, 12, 9406, 476, 2341, 1973, 6, 55, 11, 516, 19, 5, 3829, 9, 15091, 50, 10482, 6, 53, 14, 3302, 93, 552, 19, 10, 3294, 7, 10, 1084, 23403, 18472, 93, 2082, 533, 7, 28, 15, 946, 13, 5, 11870, 230, 398, 36276, 4, 50118, 50118, 133, 65, 97, 4617, 22046, 16, 13958, 16, 14, 89, 17, 27, 890, 28, 41, 70, 12, 4651, 44, 48, 15329, 196, 9287, 17, 46, 6655, 8165, 15, 5, 777, 36276, 4, 50118, 50118, 5771, 5, 36276, 34, 460, 57, 10, 614, 12, 33313, 14788, 1152, 6, 24, 16, 5, 1368, 7747, 1518, 13, 14297, 8, 1239, 15, 190, 55, 11382, 25, 5, 1518, 17, 27, 29, 774, 11461, 13, 618, 12, 5760, 14709, 4469, 5323, 4, 50118, 50118, 2847, 6, 9503, 2710, 9, 433, 1503, 11, 5, 688, 745, 62, 7, 5, 644, 4485, 311, 11, 2921, 6, 217, 10, 5005, 9, 10258, 2347, 8, 12210, 690, 8, 6116, 4, 152, 115, 28, 10, 2008, 1151, 13, 730, 17, 27, 29, 1612, 512, 8, 10, 2008, 945, 7, 185, 15, 5, 232, 17, 27, 29, 275, 4, 50118, 50118, 9690, 265, 340, 35, 50118, 50118, 18622, 3890, 5532, 4, 175, 265, 15, 599, 8, 622, 2, 0, 133, 908, 23, 5, 2374, 31422, 11, 229, 2601, 6, 5, 934, 343, 11, 5, 4412, 3346, 1926, 9, 5, 247, 6, 376, 95, 25, 273, 8786, 56, 554, 4, 50118, 50118, 133, 12958, 16, 7391, 7, 5, 15653, 9, 5, 24746, 9, 229, 2601, 6728, 764, 687, 118, 3082, 6, 2000, 18, 200, 144, 949, 3346 ]

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

[ 24105, 6, 54, 94, 186, 2966, 6321, 7, 185, 62, 3701, 136, 12824, 12067, 4, 50118, 50118, 133, 23781, 376, 71, 10, 4840, 908, 21, 9565, 6691, 136, 10, 12958, 11, 5, 17406, 343, 9, 19093, 3252, 6151, 656, 15, 273, 6, 292, 360, 71, 80, 2182, 4260, 20824, 848, 81, 2248, 82, 11, 5, 343, 4, 50118, 50118, 133, 24746, 9, 229, 2601, 94, 186, 174, 28824, 14955, 23, 5, 276, 12958, 14, 32354, 1843, 7130, 197, 185, 62, 3701, 136, 12824, 12067, 6, 61, 34, 57, 2190, 13, 10, 543, 1902, 2715, 194, 187, 2338, 4, 50118, 50118, 18285, 249, 1565, 8830, 384, 267, 1350, 13104, 26, 5, 20824, 10879, 1235, 62, 11, 2119, 15436, 172, 22, 8215, 2262, 1357, 668, 15, 167, 54, 58, 667, 7, 5111, 845, 50118, 50118, 673, 267, 1350, 13104, 26, 37, 222, 45, 216, 549, 5, 4260, 20824, 58, 2943, 50, 2182, 6, 71, 10, 22040, 9, 1912, 30, 390, 11, 485, 377, 6, 8, 222, 45, 492, 41, 6089, 1955, 15, 5, 346, 9, 18282, 4, 50118, 50118, 1708, 37, 26, 41, 5800, 13099, 848, 237, 9, 5, 22099, 11, 5, 16529, 9123, 4, 18036, 11, 5, 343, 26, 51, 58, 278, 15, 668, 4, 50118, 50118, 4688, 5040, 4439, 23, 5, 256, 7363, 2331, 6963, 6857, 2392, 14628, 28338, 11590, 8403, 3738, 6, 144, 9, 106, 604, 8, 2786, 19, 7814, 1746, 8, 3814, 14827, 4, 50118, 50118, 1620, 363, 1064, 6, 2213, 9, 82, 58, 12420, 667, 7, 304, 5, 4666, 15, 49, 1830, 4247, 7, 3058, 2638, 1980, 4, 50118, 50118, 1708, 10, 949, 3906, 781, 26, 423, 14, 89, 58, 23, 513, 5962, 1462, 8, 18673, 5424, 4, 6824, 1138, 58, 202, 667, 7, 825, 70, 4815, 6, 37, 355, 4, 50118, 50118, 133, 24746, 9, 229, 2601, 94, 186, 174, 28824, 14955, 23, 5, 276, 12958, 14, 32354, 1843, 7130, 197, 185, 62, 3701, 136, 12824, 12067, 6, 61, 34, 57, 2190, 13, 10, 543, 1902, 2715, 194, 187, 2338, 4, 50118, 50118, 387, 11136, 12067, 33, 10, 638, 9, 6666, 5395, 35627, 4, 96, 550, 1125, 10, 4260, 15731, 848, 292, 82, 1618, 273, 8786, 23, 5, 184, 9, 5, 264, 6455, 9, 8912, 139, 11, 19093, 3252, 6151, 4, 50118, 50118, 387, 11136, 12067, 1912, 11, 485, 377, 33, 20047, 31, 5, 444, 9489, 9, 2000, 6, 420, 5, 6012, 1926, 8, 9815, 6, 634, 478, 12, 463, 12, 2962, 8893, 6, 4260, 19918, 8, 512, 10834, 4, 50118, 50118, 29151, 11, 14781, 6, 7999, 8, 5572, 33, 70, 2327, 2212, 59, 12824, 12067, 18, 1460, 7, 2883, 2116, 12, 16720, 5315, 6, 1605, 25, 5, 3841, 191, 8369, 4, 2, 0, 23031, 3303, 6412, 40, 310, 13, 5, 9926, 11, 42, 76, 18, 6781, 3636, 968, 6, 150, 237, 472, 33, 1419, 80, 12, 180, 21141, 19, 5, 2918, 4, 50118, 50118, 19897, 6412, 40, 1962, 5, 9926, 11, 502, 8, 671, 7, 5, 707, 29, 526, 71, 5, 1897, 1967, 4, 50118, 50118, 1121, 55, 205, 340, 6, 320, 6843, 163, 17015, 6090, 1001 ]

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

[ 17974, 5720, 2865, 6, 12110, 3538, 525, 4360, 6, 8308, 1534, 119, 1439, 523, 8, 211, 4458, 20617, 2462, 139, 523, 33, 70, 7034, 4560, 49, 3169, 5060, 7, 5, 9926, 4, 50118, 50118, 108, 133, 21141, 9, 209, 2837, 453, 311, 14, 239, 1318, 472, 202, 236, 7, 535, 49, 756, 8, 14235, 49, 7416, 23, 5, 9926, 1598, 239, 819, 1044, 36052, 1133, 1090, 3538, 248, 1290, 3321, 26, 4, 50118, 50118, 108, 1213, 32, 566, 5, 275, 11, 49, 2452, 11, 5, 247, 6, 8, 24, 16, 10, 1307, 900, 9, 2123, 15, 84, 1052, 8, 6609, 14, 51, 192, 49, 499, 19, 201, 4, 2667, 568, 7, 4442, 49, 8478, 19, 201, 16, 67, 3185, 30, 10, 4724, 7, 310, 13, 391, 1327, 11, 499, 8, 24, 16, 372, 14, 51, 192, 5, 9926, 25, 5, 1155, 7, 185, 106, 89, 955, 50118, 50118, 38488, 6, 1133, 1090, 3538, 248, 1290, 3321, 1474, 14, 3598, 4809, 22336, 1811, 139, 5649, 40, 28, 1618, 13, 1515, 950, 163, 17202, 8624, 23, 5, 253, 9, 5, 191, 4, 50118, 50118, 2411, 35, 7896, 1587, 154, 73, 35441, 2209, 2, 0, 18801, 20083, 16, 30604, 15, 110, 2187, 2454, 3747, 20, 3295, 18, 11123, 5076, 35, 22, 13123, 6452, 1120, 21, 7249, 30, 69, 809, 12984, 6, 5909, 4930, 69, 552, 5, 1255, 113, 50118, 50118, 15248, 39695, 917, 11, 1221, 33, 8686, 22, 7779, 27387, 113, 2343, 7, 1489, 692, 11450, 6452, 1120, 23, 10, 2790, 4, 50118, 50118, 2515, 8, 1756, 884, 3621, 11082, 56, 7, 28, 8262, 30, 13069, 249, 71, 5800, 4800, 7501, 106, 23, 10, 2391, 11, 16773, 15, 296, 4, 50118, 50118, 13123, 6452, 1120, 6, 10840, 30, 69, 809, 12984, 6, 21320, 8, 685, 10, 12604, 11, 10, 5386, 6187, 7, 69, 512, 4, 50118, 50118, 45585, 9, 5, 343, 18, 22172, 39052, 13357, 58, 4100, 20166, 30, 1450, 427, 11082, 56, 156, 656, 4, 50118, 50118, 894, 56, 5249, 5, 21623, 9, 5, 2205, 11, 10, 1012, 1194, 6, 11, 1109, 9, 595, 708, 7, 11865, 11722, 82, 11, 5, 247, 18, 7255, 4, 20, 4800, 794, 5, 4166, 25, 5542, 14, 24, 21, 86, 13, 5, 2205, 7, 283, 159, 4, 50118, 50118, 4148, 273, 6, 10, 333, 9, 55, 87, 1878, 4826, 15199, 15, 3879, 446, 6, 8890, 10, 1049, 921, 11, 5, 812, 6, 21122, 22, 30035, 34, 57, 460, 40, 28, 22172, 1212, 1297, 2059, 433, 690, 4, 50118, 50118, 9497, 24304, 25, 5, 4800, 5508, 8, 2294, 751, 5, 760, 1883, 4, 993, 11, 5, 333, 18698, 5, 2059, 3794, 7, 7337, 20581, 4, 252, 15199, 409, 71, 59, 41, 1946, 4, 50118, 50118, 45834, 128, 21363, 41111, 196, 108, 50118, 50118, 15248, 39695, 917, 2327, 4817, 23, 5, 1160, 15, 296, 8, 12801, 7779, 27387, 17809, 2343, 7, 5, 2654, 1269, 4, 50118, 50118, 8532, 3747, 11112, 884, 3621, 11082, 161, 39, 1450, 33, 57, 22, 21363, 41111, 196, 113, 50118, 50118, 113, 5771, 52, 240, 7, 9630, 14, 89, 18, 10, 588, 6378, 6, 8413, 8 ]

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

[ 2581, 14, 8785, 11, 103, 11722, 1822, 198, 1221, 6, 52, 531, 45, 492, 11, 7, 4353, 8, 26401, 2163, 4288, 60, 22172, 8, 13902, 23658, 2376, 254, 3574, 1659, 4589, 13580, 2497, 102, 174, 3943, 3188, 4, 50118, 50118, 21518, 11722, 884, 6, 5432, 16744, 833, 6, 373, 13, 167, 2149, 7, 12801, 35702, 5, 455, 1370, 9, 5, 488, 41667, 50118, 50118, 113, 3084, 1050, 145, 6, 905, 1937, 5, 2654, 1269, 9, 42, 247, 6, 197, 28, 3032, 11, 215, 10, 169, 60, 26, 5, 320, 394, 9, 5, 2059, 6338, 1643, 4, 50118, 50118, 4148, 273, 6, 427, 11082, 7194, 39, 1450, 25, 22, 20473, 352, 5701, 113, 8, 26, 51, 58, 36939, 196, 111, 37, 222, 45, 224, 5, 2205, 197, 28, 551, 159, 4, 50118, 50118, 17809, 100, 393, 26, 14, 8, 38, 218, 75, 206, 14, 60, 37, 26, 4, 22, 100, 1394, 47, 2540, 6, 38, 1394, 47, 182, 32928, 6, 1679, 162, 30, 99, 38, 26, 13864, 50118, 50118, 133, 10178, 8885, 21, 2885, 11, 15002, 30, 237, 604, 25, 10, 2790, 136, 5, 2654, 1269, 9, 5, 86, 18, 13646, 7, 9630, 11722, 1212, 659, 4, 50118, 50118, 45585, 56, 4366, 13, 10, 130, 12, 1208, 2812, 1001, 12514, 5314, 13, 47363, 45934, 7, 2458, 5, 843, 212, 4038, 4, 50118, 50118, 21674, 1878, 5800, 4800, 7501, 5, 35434, 2391, 6, 31109, 15, 5, 4049, 8, 21122, 12801, 35969, 17809, 8, 12801, 1193, 4344, 41667, 30347, 249, 58, 373, 7, 24780, 2135, 6452, 1120, 8, 427, 11082, 66, 4, 50118, 50118, 38777, 23, 41, 1221, 1053, 5043, 23, 69, 781, 5238, 71, 5, 1160, 6, 2135, 6452, 1120, 26, 79, 21, 2051, 4, 50118, 50118, 113, 100, 524, 156, 9, 1256, 1828, 2682, 8, 5, 249, 222, 10, 372, 633, 72, 50118, 50118, 4148, 273, 6, 39052, 13357, 1565, 1190, 11271, 7363, 3636, 478, 66, 23, 249, 15, 3943, 491, 18799, 4, 50118, 50118, 113, 133, 129, 1476, 47, 64, 192, 376, 31, 5, 249, 6, 98, 218, 75, 224, 24, 21, 10, 4153, 2790, 6, 24, 21, 10, 4153, 4289, 7, 5, 2790, 60, 37, 26, 4, 50118, 50118, 113, 170, 439, 89, 7, 1394, 69, 646, 627, 2654, 1269, 742, 8, 427, 11082, 7, 283, 159, 8, 1994, 7, 201, 6, 14, 18, 70, 52, 439, 89, 13, 4, 166, 439, 89, 646, 30861, 6459, 742, 13864, 50118, 50118, 4688, 11722, 884, 6, 1573, 4572, 9, 5, 188, 391, 5295, 22172, 3192, 1080, 6, 174, 3943, 14, 12801, 260, 904, 34, 67, 57, 156, 13, 5, 2654, 1269, 7, 283, 7, 5, 8885, 7, 5555, 69, 12604, 41667, 2, 0, 250, 622, 333, 34, 6246, 804, 27453, 11, 6547, 71, 42092, 17556, 5, 9405, 9, 19638, 23, 2702, 921, 5284, 7, 11898, 160, 9247, 11656, 6, 11, 10, 247, 147, 6563, 11, 5, 43559, 8, 32049, 16, 4814, 547, 4, 50118, 50118, 133, 1345, 6, 61, 439, 7696, 42, 186, 6, 969, 10, 313, 18, 2767, 2934, 15, 10, 3236, 9, 992, 31898, 28796, 3141, 23, 10, 3610, 921, 23043 ]

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

[ 11, 15398, 684, 8094, 25, 22, 530, 1657, 3830, 118, 31403, 113, 480, 5, 9158, 14, 1449, 727, 1074, 4, 50118, 50118, 1301, 31898, 19638, 32, 10, 1537, 6112, 23, 3237, 147, 921, 16982, 5948, 223, 5, 6563, 14, 49, 26224, 480, 61, 8736, 82, 9, 11038, 23309, 480, 40, 26885, 160, 5, 31932, 14, 171, 679, 1303, 12328, 4, 50118, 50118, 1708, 5, 9130, 3787, 9, 10, 622, 333, 373, 22, 44823, 41796, 29, 1297, 61, 34, 55, 87, 1878, 6, 151, 3829, 8, 1278, 5, 2170, 6, 26, 37, 770, 7, 1539, 167, 9734, 4, 50118, 50118, 113, 970, 32, 444, 350, 171, 19784, 8237, 50, 10960, 9, 82, 145, 9988, 14265, 11, 6547, 8, 24, 36074, 29, 162, 60, 5, 313, 6, 54, 1981, 7, 492, 39, 766, 21510, 25874, 354, 1536, 6, 174, 3303, 4086, 1470, 7946, 1090, 4, 50118, 50118, 113, 100, 770, 7, 311, 89, 32, 82, 66, 89, 54, 109, 45, 679, 11, 19784, 7469, 60, 37, 355, 4, 50118, 50118, 133, 1345, 6, 61, 37, 26, 21, 551, 656, 42, 353, 6, 34, 57, 2738, 62, 8, 1373, 1583, 9, 498, 15, 592, 433, 4, 50118, 50118, 113, 27477, 5, 1692, 8411, 734, 36, 560, 43, 31932, 1297, 65, 9130, 3018, 1440, 15446, 677, 5810, 2032, 1657, 611, 1439, 875, 223, 5, 618, 11, 10, 1579, 9, 323, 4, 50118, 50118, 113, 100, 109, 45, 1346, 596, 5, 17835, 52, 33, 209, 992, 31898, 19638, 40021, 553, 277, 622, 3018, 4, 50118, 50118, 1708, 97, 2032, 5655, 58, 540, 87, 6889, 30, 5, 2274, 11, 10, 247, 147, 19784, 33494, 9734, 32, 1844, 17213, 480, 8, 8296, 15, 402, 16996, 16, 1687, 13481, 26401, 4, 50118, 50118, 113, 100, 1034, 14, 31932, 283, 7, 28297, 47, 8, 912, 47, 8416, 60, 65, 3018, 875, 223, 5, 766, 22, 35942, 324, 759, 845, 50118, 50118, 113, 1106, 47, 218, 75, 679, 11, 19784, 8237, 596, 109, 47, 33, 7, 1539, 24, 40021, 553, 277, 634, 5, 766, 305, 6841, 2636, 33270, 1115, 2611, 1588, 261, 4, 50118, 50118, 16713, 620, 7469, 8, 6563, 11, 31932, 16, 30208, 11, 6547, 6, 10, 1226, 202, 4814, 11359, 30, 1198, 12, 387, 7027, 32001, 23727, 661, 9734, 4, 50118, 50118, 34002, 3697, 747, 3568, 524, 7590, 1872, 7, 1744, 1235, 15, 5, 247, 18, 23455, 2702, 3197, 150, 884, 9, 5, 2255, 1236, 20339, 6, 2869, 857, 1182, 8710, 12, 673, 12, 4771, 102, 6, 94, 76, 1238, 39, 4257, 9, 667, 7, 30626, 909, 8375, 136, 123, 4, 50118, 50118, 133, 3787, 9, 5, 622, 333, 26, 19784, 7469, 1726, 588, 4798, 6, 19, 82, 32182, 7, 342, 49, 3975, 11, 10, 9577, 87, 185, 49, 308, 1078, 22354, 4, 2, 0, 2895, 30935, 4813, 7, 5, 1112, 33, 829, 63, 2949, 8, 7132, 7, 34814, 4, 1590, 63, 78, 1878, 107, 6, 5, 1112, 2033, 55, 87, 112, 6, 1497, 30935, 8, 3946, 129, 733, 4, 83, 346, 9, 209, 6, 217, 5, 20704, 9, 13854, 102, 22244, 6, 58, 3946, 2330, 4, 1993, 747, 6 ]

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

[ 5, 1112, 34, 1622, 45, 2763, 15, 30935, 14, 63, 1673, 7661, 45, 7, 33, 7719, 323, 624, 5, 1112, 13, 2846, 6, 8, 11, 937, 209, 30935, 33, 2140, 57, 13375, 4, 497, 513, 5663, 30935, 58, 2140, 13375, 142, 5, 1112, 393, 362, 507, 814, 15, 106, 4, 26129, 918, 189, 67, 1091, 11, 5, 1112, 3125, 7081, 1674, 13, 3112, 5788, 6, 187, 30935, 32, 45, 1552, 7, 28, 5032, 1792, 13979, 23, 5, 1786, 9, 349, 92, 1148, 4, 345, 33, 57, 10960, 11, 61, 30935, 33, 784, 1851, 32434, 624, 5, 1540, 13, 107, 6, 190, 1724, 6, 396, 814, 145, 551, 4, 50118, 50118, 133, 5879, 1639, 14, 5, 394, 22, 42065, 33, 3029, 6, 30, 8, 19, 5, 33433, 8, 41764, 9, 5, 1112, 6, 7, 146, 26129, 918, 6, 1286, 80, 12, 10224, 9, 5, 10421, 1455, 10146, 710, 113, 36, 6776, 3082, 6, 2810, 132, 32801, 20, 5879, 18, 41527, 268, 851, 5, 1112, 10, 458, 9, 5, 11142, 476, 11, 645, 7, 492, 5, 394, 5, 1796, 9, 5, 1112, 18, 2949, 8, 4778, 6, 1649, 1939, 476, 6, 8, 18552, 5, 13617, 9, 5, 982, 30, 1311, 349, 194, 41, 3871, 900, 11, 5, 3951, 8307, 7520, 609, 4, 287, 4837, 4127, 2002, 11, 1853, 661, 117, 4, 3337, 2156, 44, 48, 627, 2513, 9, 30935, 25, 2074, 6, 19299, 5025, 13, 5, 5740, 9, 5, 1086, 50, 10, 4745, 9, 5, 5615, 809, 11, 5, 558, 9, 442, 106, 4, 17, 46, 20, 6100, 7404, 14, 5, 1112, 7244, 10, 11142, 19, 10, 80, 12, 10224, 900, 839, 14, 1800, 30935, 531, 2364, 323, 14, 81, 32696, 12740, 2757, 4, 20, 80, 12, 10224, 7404, 3639, 7, 5, 22915, 9, 5, 1112, 1673, 6, 8, 189, 67, 3803, 4257, 9, 10, 11142, 7, 4949, 11, 10, 3143, 9, 14632, 5257, 8893, 11, 1991, 9, 14999, 7719, 2834, 7, 1306, 63, 3002, 4, 50118, 50118, 14229, 5, 1035, 9, 601, 5677, 14343, 7, 5, 18221, 9127, 19639, 5, 3184, 8, 9582, 9, 10, 92, 5615, 809, 4, 509, 9, 5, 1142, 51, 7444, 21, 6, 197, 5, 476, 9, 3951, 8307, 7520, 23773, 624, 5, 5615, 50, 1031, 6084, 116, 2096, 5, 15219, 9, 24445, 10, 11142, 115, 28, 2867, 88, 19, 5, 7132, 9, 1117, 9, 5, 30361, 982, 6, 50, 80, 12, 10224, 4, 993, 14343, 6, 215, 25, 391, 1961, 17, 27, 29, 3163, 12009, 2420, 2596, 6, 2966, 14, 5, 1112, 6, 147, 349, 194, 56, 3871, 8985, 6, 197, 33, 5, 6922, 476, 7, 146, 30935, 4, 4837, 4127, 3811, 14, 5, 1031, 6084, 197, 3325, 4361, 1330, 7, 1093, 3115, 6, 8, 197, 3891, 33, 5, 476, 7, 146, 30935, 44, 48, 5632, 5, 2949, 8, 44766, 428, 1258, 9, 5, 1112, 4, 17, 46, 96, 5, 253, 6, 4127, 17, 27, 29, 4795, 4362, 144, 38245, 4, 50118, 50118, 11321, 5, 78, 1148, 24228, 15, 494, 204, 6, 601, 5046, 6, 5, 121, 4, 104, 4, 1112, 34, 7015, 25853, 63, 36099, 476, 11 ]

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

[ 3951, 8307, 7520, 4, 374, 830, 820, 6, 601, 5046, 6, 270, 1655, 663, 8, 1863, 9, 1771, 4858, 12996, 2035, 23, 5, 1112, 7514, 1818, 5, 1112, 17, 27, 29, 2949, 8, 7132, 7, 10, 11142, 19, 10442, 470, 1362, 17116, 4, 616, 5, 394, 6, 17630, 11, 5, 26024, 1036, 17, 27, 29, 3428, 6, 8, 39, 2971, 9010, 6, 5, 1112, 2763, 7, 9115, 209, 1142, 7, 10, 1540, 1195, 87, 2625, 5, 696, 11, 5, 2621, 9, 5, 26713, 4193, 394, 4, 9139, 3961, 1070, 6, 663, 1276, 14, 6, 11, 5, 499, 6, 37, 74, 2142, 4372, 2624, 30935, 11, 2410, 6, 2749, 5, 14462, 14, 70, 9, 39, 37341, 33, 1432, 4, 50118, 50118, 133, 1112, 2033, 5, 34814, 9, 65, 9, 5, 144, 14883, 30935, 11, 121, 4, 104, 4, 750, 148, 5, 663, 942, 4, 497, 5, 7493, 9, 1853, 661, 1643, 7028, 6, 5, 394, 1051, 1231, 1659, 610, 3309, 7, 928, 7, 6307, 490, 10794, 19, 2860, 1444, 4, 663, 222, 45, 12777, 5, 455, 1112, 137, 14030, 63, 2949, 8, 7132, 7, 5, 2121, 11142, 6, 684, 25, 5, 3309, 20704, 4, 20, 11142, 18, 4257, 6, 2260, 9033, 811, 1858, 6, 2800, 188, 469, 6704, 4802, 26725, 18, 4298, 7, 13490, 5, 3377, 6, 22918, 7, 10, 278, 9, 2167, 5327, 6, 53, 1853, 661, 7028, 5125, 14, 563, 8, 5288, 5, 2846, 9, 5, 4456, 3309, 20704, 15, 502, 706, 6, 601, 4015, 4, 9033, 811, 1858, 11, 797, 9, 5, 446, 9, 7395, 3711, 7, 26691, 5, 1435, 2139, 7, 3327, 103, 9, 63, 7668, 6, 53, 5, 30953, 3284, 1595, 5, 446, 15, 587, 389, 6, 601, 5607, 6, 30, 10, 6787, 2759, 4, 85, 21, 10, 2008, 1124, 13, 5, 1112, 18, 2216, 8, 4874, 774, 11, 5, 442, 9, 30935, 4, 50118, 50118, 44622, 6, 5, 1112, 56, 2964, 63, 5453, 639, 1367, 4259, 6, 8, 14759, 81, 5, 3309, 20704, 58, 117, 8219, 4, 1648, 71, 5, 1112, 1357, 10, 285, 7294, 11, 719, 601, 4015, 6, 5, 5589, 9, 24996, 30935, 8, 11097, 11, 3556, 1852, 1143, 88, 5, 419, 291, 212, 3220, 4, 32495, 24225, 5705, 1027, 2349, 9, 5, 3556, 4404, 6, 10930, 12168, 5, 2788, 9, 10, 11142, 137, 7028, 829, 49, 781, 11288, 4, 20, 1112, 6807, 6, 7619, 32368, 6, 8, 17278, 53, 4362, 33128, 7, 912, 5, 12902, 6, 61, 533, 376, 31, 5, 453, 1235, 4, 1491, 454, 32638, 58, 1031, 5453, 12880, 490, 7, 5, 1228, 8, 5, 285, 4, 2477, 5, 1112, 3106, 1367, 5453, 129, 223, 5, 3159, 620, 9, 4215, 6, 2333, 7, 432, 19, 8967, 335, 4, 50118, 50118, 41245, 2463, 8, 41764, 50118, 50118, 133, 5879, 1639, 14, 5, 1112, 3325, 63, 44, 48, 625, 36237, 8, 7132, 17, 46, 11, 3951, 8307, 7520, 6, 41, 33406, 11054, 61, 9751, 8, 7028, 33, 19639, 187, 5, 1226, 17, 27, 29, 10150, 4, 1590, 5, 1771, 9, 504, 1092, 6, 8951, 6704, 957, 1501, 1120, 21, 10, 919, 9, 5, 8090 ]

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

[ 7, 8654, 5, 20704, 9, 272, 37754, 4, 832, 2621, 1179, 5, 864, 9, 549, 519, 7028, 15, 5, 8779, 165, 74, 146, 5, 1112, 55, 33529, 19901, 7, 7244, 5, 11142, 6, 50, 549, 24, 74, 14180, 5, 10875, 9, 4361, 4, 280, 2625, 34, 1143, 13, 6808, 396, 3547, 4, 20, 1112, 3946, 10, 346, 9, 30935, 148, 5, 94, 297, 9, 5, 753, 212, 3220, 4, 96, 41, 1351, 7, 1877, 5, 276, 7658, 13, 39, 1987, 11142, 19, 2809, 6, 270, 2897, 15606, 607, 36943, 417, 352, 1440, 130, 121, 4, 104, 4, 7028, 7, 8654, 5, 11142, 11, 43327, 4, 10421, 31, 258, 1799, 1062, 352, 5888, 39, 814, 6, 53, 5, 1112, 3284, 2033, 34814, 9, 5, 5203, 11142, 4, 83, 2706, 423, 6, 7028, 5888, 270, 3132, 4610, 3095, 13, 45, 217, 453, 11, 5, 8090, 14, 12518, 5, 20704, 9, 13854, 102, 22244, 6, 3558, 623, 1771, 38, 8, 10584, 5, 815, 9, 3076, 4, 2978, 6, 3095, 5636, 12518, 5, 11142, 4, 520, 5, 394, 865, 2781, 5, 11142, 7, 5, 1112, 15, 550, 158, 6, 35284, 6, 1574, 2260, 2800, 24, 6, 53, 1858, 58, 6408, 4, 20, 44, 48, 20028, 26481, 1952, 6, 17, 46, 669, 30, 4336, 4858, 8434, 1242, 15370, 6, 373, 13, 2846, 9, 5, 11142, 129, 114, 1402, 13747, 6, 50, 35081, 6, 58, 5091, 4, 20, 44, 48, 34547, 241, 3865, 17286, 6058, 17, 46, 4340, 5, 11142, 11, 143, 1026, 4, 96, 759, 15370, 1051, 5, 11142, 19, 501, 13747, 7, 5, 1112, 1929, 6, 8868, 41, 5800, 3095, 7, 8745, 1574, 7, 10363, 15370, 17, 27, 29, 563, 4, 374, 759, 753, 6, 35284, 6, 10, 333, 9, 1557, 7028, 1770, 5, 9139, 241, 3865, 17286, 6058, 7, 3002, 5, 11142, 4, 20, 315, 532, 393, 27504, 5, 20704, 9, 13854, 102, 22244, 3486, 222, 24, 1962, 5, 815, 9, 3076, 4, 590, 5, 20704, 9, 13854, 102, 22244, 11, 1508, 6, 3095, 18, 10359, 6, 5432, 272, 4, 22793, 578, 8155, 56, 1665, 25, 10, 6704, 148, 5, 1032, 13, 5, 11142, 18, 34814, 578, 19051, 4336, 15370, 8, 1557, 5337, 5887, 2096, 1845, 25, 14343, 7, 5, 663, 24166, 8300, 12257, 2815, 7, 1477, 5, 11801, 9, 5, 1112, 17, 27, 29, 7132, 7, 34814, 4, 286, 203, 5, 276, 1219, 6, 19862, 6099, 17800, 8, 3268, 31117, 963, 5, 2243, 6, 1560, 9835, 2368, 6, 8, 5, 7141, 1172, 9, 5, 1112, 3125, 7081, 1674, 6, 9411, 19060, 13741, 6, 11, 5, 5012, 9, 5, 315, 3076, 4, 152, 814, 1147, 7, 10628, 5, 121, 4, 487, 4, 5, 7658, 9, 5, 815, 9, 3076, 131, 89, 58, 129, 80, 1112, 2834, 136, 63, 9827, 4, 50118, 50118, 36545, 3303, 39510, 50118, 50118, 1121, 1285, 7, 30935, 6, 61, 189, 45, 2914, 88, 1370, 8, 555, 17014, 15, 5, 315, 532, 396, 5, 2949, 8, 7132, 9, 5, 1112, 6, 89, 32, 97, 3505, 9, 758, 5983, 4633, 30, 5, 1031, 6084, 8, 45, 4813, 7, 5, 1112, 4, 1216, 32 ]

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

[ 8967, 11, 5, 315, 532, 25, 1031, 5983, 6, 45, 25, 30935, 6, 10, 16192, 14, 34, 129, 1897, 11382, 4, 1016, 488, 11246, 349, 5745, 9, 758, 1288, 25, 17014, 6, 3046, 63, 16048, 223, 1897, 488, 4, 20, 1539, 9, 14999, 80, 12, 10224, 900, 15, 30935, 21, 65, 9, 5, 31612, 1572, 639, 5, 4714, 712, 11, 1031, 5983, 71, 623, 1771, 3082, 4, 96, 26891, 6, 13, 4327, 6, 5, 315, 532, 1419, 501, 30935, 8, 40030, 1031, 5983, 4, 152, 21, 10, 2514, 346, 9, 1031, 5983, 87, 56, 57, 1348, 148, 5, 1445, 3220, 9, 601, 5046, 7, 44531, 4, 2483, 5983, 535, 7, 1733, 23, 10, 6379, 731, 4, 96, 485, 107, 6, 5, 434, 11, 1031, 5983, 16, 67, 18297, 7, 5, 11708, 3149, 9, 265, 2964, 227, 5, 315, 532, 8, 97, 749, 6, 11531, 19, 5, 416, 2016, 16942, 9, 5, 1112, 4, 1876, 758, 5983, 32, 9, 3487, 3694, 3585, 8, 74, 240, 12445, 81, 428, 25317, 5, 1112, 114, 51, 58, 4813, 25, 30935, 13, 2949, 8, 7132, 4, 2044, 3724, 34, 57, 5, 9078, 9, 2309, 36103, 5, 1031, 6084, 7, 10992, 758, 5983, 11, 1402, 5447, 6, 215, 25, 1093, 2887, 6, 6300, 6, 8, 721, 4, 26129, 918, 33, 67, 57, 2033, 14, 29080, 617, 5983, 227, 5, 1799, 4, 767, 7, 10, 11724, 892, 30, 5, 1112, 1674, 15, 3125, 7081, 6, 22, 4652, 4, 246, 135, 9, 758, 5983, 1348, 227, 27723, 8, 15002, 58, 716, 23, 513, 5647, 15, 17947, 3446, 131, 231, 4, 176, 135, 58, 30935, 6, 8, 195, 4, 245, 135, 58, 716, 9382, 15, 1031, 3446, 72, 2, 0, 27847, 5, 5879, 202, 948, 116, 50118, 50118, 1779, 24, 21, 1982, 6, 1664, 6099, 26, 5, 35475, 851, 201, 10, 16441, 6, 44763, 1594, 47, 64, 489, 24, 35547, 13464, 82, 802, 5, 16441, 74, 94, 277, 30398, 107, 6, 53, 24, 34, 4, 20, 5879, 21955, 29, 4971, 15, 168, 476, 1147, 1045, 5, 144, 481, 8, 23275, 247, 15, 3875, 4, 50118, 50118, 1708, 122, 103, 1791, 6, 235, 8, 314, 6, 492, 62, 15, 5, 5879, 8378, 24, 1516, 11, 5, 169, 9, 1986, 51, 101, 4, 993, 15, 5, 235, 4538, 1475, 12, 2413, 3866, 225, 1571, 2074, 50, 236, 55, 35388, 1527, 9, 2352, 8, 194, 6, 150, 167, 15, 5, 314, 236, 12210, 776, 5746, 4, 50118, 50118, 24365, 4, 1560, 14127, 8629, 6, 248, 12, 26752, 2560, 482, 553, 270, 4282, 1284, 21955, 29, 2124, 837, 1339, 6, 24816, 229, 7060, 6, 44763, 1106, 38, 770, 7, 9242, 10, 1087, 8, 24, 26, 6, 44763, 15085, 6, 47, 33, 7, 3529, 130, 8942, 8, 130, 12849, 358, 183, 6, 21955, 473, 14, 14180, 5, 5669, 36913, 116, 21955, 24361, 352, 6, 229, 7060, 1979, 21955, 90, 224, 6, 44763, 9904, 6, 9, 768, 328, 21955, 50118, 50118, 2515, 37002, 5, 864, 4, 50118, 50118, 11475, 15, 5, 461, 6, 229, 7060, 21, 233, 9, 5, 195, 12, 306, 1647, 54, 4633, 5, 168 ]

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

[ 64, 1370, 201, 7, 907, 402, 203, 55, 3214, 87, 6231, 8, 32065, 35, 9138, 64, 1370, 201, 7, 907, 474, 1911, 4, 50118, 50118, 43881, 3699, 33, 117, 1272, 19, 14, 4, 374, 127, 1012, 311, 6, 5965, 5388, 298, 5999, 9, 9387, 43881, 4, 175, 26, 168, 442, 47, 907, 8942, 965, 21955, 90, 98, 7782, 35, 44763, 100, 218, 21955, 90, 216, 141, 7, 1137, 47, 42, 6, 53, 168, 416, 817, 47, 907, 383, 101, 34803, 4, 653, 109, 47, 206, 689, 22957, 32, 116, 653, 109, 47, 206, 334, 11728, 5559, 32, 116, 20, 168, 34, 5, 476, 7, 629, 47, 8, 907, 383, 19, 24, 35547, 50118, 50118, 8170, 26637, 906, 87, 6923, 168, 7, 33, 98, 203, 476, 16, 5, 169, 31627, 3294, 49, 7576, 7, 120, 714, 7762, 51, 236, 4, 50118, 50118, 1121, 2338, 6, 1284, 26, 150, 9138, 32140, 10, 2861, 15, 1268, 54, 630, 21955, 90, 907, 474, 1911, 6, 44763, 18975, 9857, 14, 10, 629, 35547, 20, 220, 76, 6, 77, 24, 1382, 5, 2124, 837, 74, 1157, 10, 629, 53, 45, 10, 2861, 6, 20, 188, 469, 1513, 431, 6, 44763, 45597, 8475, 6, 28382, 312, 2389, 6, 978, 7858, 8845, 6799, 10682, 877, 25, 10, 6394, 35547, 50118, 50118, 6179, 2375, 16, 5, 5879, 114, 5, 2124, 837, 1495, 16, 2882, 7, 244, 5, 394, 8, 1148, 52, 44123, 49, 169, 198, 5, 16311, 15, 752, 476, 14, 5, 3780, 21, 3833, 7, 7828, 116, 50118, 50118, 26377, 298, 5999, 26, 1148, 34, 4007, 476, 7, 14244, 13715, 6, 7, 797, 383, 101, 5947, 8, 5834, 6, 53, 64, 21955, 90, 1323, 2074, 136, 5345, 8, 1900, 4, 50118, 50118, 100, 21955, 119, 7785, 5388, 298, 5999, 15637, 103, 4971, 6, 1712, 37, 1302, 7, 3608, 14, 5, 34218, 64, 109, 3046, 51, 236, 4682, 1323, 2074, 14, 429, 888, 1744, 82, 4, 50118, 50118, 23031, 4219, 4550, 710, 9, 5, 3073, 10661, 2475, 376, 15, 127, 311, 7, 5898, 1182, 5388, 298, 5999, 6, 584, 5, 35475, 399, 21955, 90, 1057, 168, 7, 797, 960, 14, 1411, 15, 11, 5, 776, 18747, 143, 55, 87, 51, 421, 24, 7, 797, 1901, 4, 50118, 50118, 21955, 133, 5879, 16, 10, 4198, 59, 141, 168, 476, 16, 164, 7, 28, 341, 4, 85, 21955, 29, 10, 4198, 1982, 30, 82, 54, 56, 2984, 301, 223, 43450, 3569, 168, 6, 21955, 161, 4219, 4550, 710, 4, 44763, 133, 8567, 51, 2435, 31, 14, 8, 31, 49, 2655, 9, 986, 43450, 918, 21, 14, 5, 144, 505, 696, 16, 7, 2204, 160, 168, 476, 31, 84, 940, 1074, 8, 7, 146, 686, 14, 5907, 44763, 45, 2736, 503, 6, 45, 10, 8453, 6, 45, 10, 18529, 44763, 1516, 7, 22203, 141, 52, 697, 84, 1074, 35547, 50118, 50118, 133, 5879, 630, 21955, 90, 120, 5, 2098, 24, 8613, 6, 53, 24, 202, 64, 2635, 5, 434, 9, 168, 4, 96, 43638, 6, 1148, 1595, 41, 1425, 629, 6, 53, 5, 17901, 5593, 293, 26, 44763, 2362, 6, 21955, 5, 5879, 473 ]

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

[ 45, 492, 47, 14, 476, 44763, 8, 5, 1425, 629, 21, 2322, 159, 4, 730, 23, 513, 9710, 10, 632, 1425, 629, 13, 5, 220, 504, 107, 6, 454, 1148, 8, 194, 34467, 2033, 41, 3031, 6100, 8322, 4, 50118, 50118, 133, 5879, 67, 34, 1804, 5, 476, 9, 3770, 7, 2020, 30582, 8, 559, 637, 5694, 4, 4028, 86, 5, 17901, 5593, 293, 224, 44763, 2362, 6, 21955, 14, 429, 146, 5, 220, 6792, 9, 3770, 10, 828, 10080, 26539, 4, 50118, 50118, 133, 5879, 13173, 270, 3268, 31117, 21955, 29, 632, 1938, 9, 5, 3689, 539, 4, 5359, 14, 10922, 2050, 19862, 1655, 305, 4, 3516, 8, 1284, 31, 632, 2787, 730, 21955, 29, 1520, 71, 5, 6277, 9, 5, 2004, 12172, 4, 5359, 4, 50118, 50118, 170, 1796, 31, 5, 5879, 21955, 29, 8066, 823, 358, 86, 24, 1690, 8307, 918, 3770, 21955, 12831, 7, 797, 201, 4, 2, 0, 4993, 10, 7940, 693, 21, 2346, 5836, 66, 9, 10, 21606, 1400, 8080, 6, 491, 306, 18, 1190, 17324, 763, 3677, 690, 400, 7940, 6886, 2074, 4, 36, 29642, 296, 6, 392, 753, 6, 336, 43, 50118, 50118, 13841, 8901, 5, 34743, 13371, 15, 36834, 41927, 116, 50118, 50118, 46049, 3599, 6886, 2074, 11, 5, 211, 4, 347, 4, 443, 32, 2806, 7867, 1503, 71, 10, 573, 2510, 21, 1340, 307, 19, 13511, 10, 7940, 693, 54, 21, 634, 5, 390, 18, 8080, 23, 10, 21606, 8290, 1400, 4, 50118, 50118, 717, 428, 6119, 4231, 5260, 6, 2107, 6, 26, 79, 21, 667, 7, 304, 5, 8080, 23, 5, 21606, 15, 289, 852, 12462, 77, 10, 573, 2510, 7249, 69, 8, 4021, 69, 66, 9, 5, 29278, 4, 50118, 50118, 113, 133, 29278, 1883, 376, 490, 4, 404, 38, 1317, 21, 6, 128, 100, 216, 47, 32, 10, 313, 10076, 4231, 5260, 26, 4, 50118, 50118, 133, 2510, 6, 2006, 11, 461, 2339, 25, 17932, 833, 6552, 2463, 1454, 6, 21, 1340, 19, 2007, 2080, 4, 1454, 19299, 45, 2181, 15, 296, 4, 50118, 50118, 14693, 7, 5, 5815, 1387, 9, 3861, 3941, 6, 5, 1697, 2080, 20312, 5, 1384, 18, 3861, 3941, 1783, 4, 50118, 50118, 113, 43174, 29, 33, 5, 235, 7, 304, 5, 8080, 716, 15, 49, 3959, 3599, 51, 619, 3473, 634, 60, 12811, 4677, 21909, 6, 736, 9, 5, 5815, 1387, 9, 3861, 3941, 4, 50118, 50118, 11321, 779, 570, 6, 4677, 21909, 26, 5, 558, 34, 829, 545, 4496, 31, 7940, 5151, 54, 224, 51, 58, 2296, 304, 9, 10, 8080, 4, 50118, 50118, 113, 1213, 64, 28, 1680, 9, 1476, 51, 64, 28, 16835, 51, 64, 28, 5836, 66, 9, 2127, 60, 4677, 21909, 26, 4, 50118, 50118, 6179, 5, 2074, 10356, 11, 211, 4, 347, 482, 4788, 8, 2240, 4, 50118, 50118, 1121, 211, 4, 347, 482, 24, 18, 136, 5, 488, 7, 7631, 951, 899, 7, 10, 8080, 716, 15, 49, 3959, 3599, 8, 5, 1384, 3441, 14, 881, 12, 12105, 18409, 28, 3959, 7974, 4, 50118, 50118, 113, 250, 265, 64, 129, 1004, 409, 951, 114, 51, 17, 27 ]

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

[ 241, 45, 18528, 2787, 5, 265, 60, 4677, 21909, 26, 4, 50118, 50118, 133, 5815, 1387, 9, 3861, 3941, 34, 56, 2993, 4496, 9, 285, 31720, 45, 27815, 19, 5, 3959, 7974, 7404, 187, 777, 6, 4677, 21909, 26, 4, 50118, 50118, 14696, 9399, 14102, 982, 6, 217, 4788, 6, 33, 1122, 1475, 12, 34635, 2074, 14, 4010, 1744, 7940, 82, 4, 50118, 50118, 38477, 6, 959, 6, 473, 45, 33, 10, 3959, 3599, 6886, 488, 4, 3483, 4, 6840, 33233, 682, 1419, 41, 1031, 645, 6244, 194, 1321, 31, 3959, 3599, 6886, 4, 50118, 50118, 133, 774, 9, 752, 488, 50118, 50118, 791, 4, 104, 4, 2745, 1292, 17004, 16597, 7052, 34, 26, 13497, 33559, 9, 5, 5280, 3941, 1783, 15899, 82, 31, 6886, 11, 70, 654, 982, 4, 50118, 50118, 11073, 1961, 16, 855, 11, 10, 2168, 19, 5, 1659, 641, 81, 5, 13794, 9, 13497, 33559, 71, 3133, 10, 488, 14, 161, 7940, 82, 531, 304, 285, 18409, 6, 3535, 8, 2992, 5351, 14, 20719, 7, 5, 2099, 15, 49, 3113, 10921, 4, 50118, 50118, 133, 5280, 3941, 1783, 473, 45, 4010, 4521, 7940, 82, 4, 50118, 50118, 23166, 21909, 26, 24, 18, 505, 13, 982, 7, 33, 49, 308, 2074, 4, 50118, 50118, 113, 250, 400, 488, 1639, 203, 55, 3169, 3500, 60, 4677, 21909, 26, 4, 22, 43435, 10, 2026, 19, 5, 752, 168, 13, 13497, 262, 115, 185, 107, 13, 143, 1907, 9, 3547, 50, 3500, 72, 50118, 50118, 23166, 21909, 26, 400, 2074, 189, 67, 244, 7, 6296, 400, 1252, 54, 189, 45, 28, 2542, 9, 5, 752, 488, 4, 2, 0, 250, 693, 54, 1143, 2806, 285, 3485, 71, 1298, 2213, 9, 1583, 9, 1932, 11, 10, 2293, 11395, 177, 21, 303, 1462, 11, 10, 2921, 11906, 42, 983, 4, 50118, 50118, 10127, 5219, 13616, 6, 564, 6, 21, 8416, 19, 69, 504, 12, 2151, 12, 279, 1354, 23, 10, 184, 11, 19722, 27209, 77, 6, 309, 7, 249, 6, 79, 962, 9, 10, 678, 1262, 11972, 4, 50118, 50118, 133, 1928, 22, 7325, 235, 220, 7, 69, 8416, 4, 252, 58, 2494, 10, 1569, 561, 4, 264, 554, 9701, 6, 8, 14, 17, 27, 29, 77, 7423, 3203, 11, 8, 79, 1381, 7, 192, 99, 21, 164, 15, 8, 79, 18626, 36, 11428, 857, 1054, 43, 8, 79, 21, 1613, 6, 17, 46, 10, 1441, 18, 6578, 174, 3480, 10515, 305, 31578, 1301, 12, 2915, 6, 1996, 14, 37, 45, 28, 2006, 4, 50118, 50118, 133, 305, 31578, 1301, 527, 222, 45, 617, 3058, 7423, 6, 53, 5, 1992, 431, 14, 10, 1441, 8, 69, 6578, 56, 57, 30976, 9451, 13616, 18, 1354, 8, 979, 4, 50118, 50118, 4688, 15103, 34, 57, 2121, 6, 309, 7, 5, 6098, 413, 3067, 23556, 18, 1387, 6, 8, 117, 26606, 1303, 9, 744, 64, 28, 3030, 454, 10, 8422, 4383, 266, 606, 124, 11, 411, 7, 799, 688, 6, 5, 2921, 3130, 977, 431, 4, 50118, 50118, 11428, 857, 1054, 351, 68, 134, 153, 11, 5, 22, 18114, 1464, 6341, 113, 11395, 177, 311, 11, 779 ]

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

[ 4, 264, 362, 10, 19666, 6797, 6, 8, 71, 2556, 6, 56, 10, 410, 55, 87, 68, 1497, 6, 151, 19, 61, 79, 2162, 10, 790, 8, 512, 4, 264, 67, 1143, 7, 5555, 68, 2619, 10, 353, 11, 194, 689, 3485, 454, 5, 194, 2435, 9, 5, 11395, 339, 8, 2468, 69, 1795, 11, 494, 4, 50118, 50118, 46688, 30, 3480, 10515, 305, 35437, 12, 2915, 114, 79, 1299, 79, 21, 7919, 7, 5, 418, 6, 79, 6849, 6, 22, 100, 802, 14, 51, 74, 847, 162, 160, 6, 53, 187, 51, 399, 75, 6, 38, 802, 2085, 24, 21, 4954, 142, 38, 437, 45, 447, 72, 50118, 50118, 4993, 5, 194, 641, 9, 3861, 1820, 8, 1387, 9, 12412, 1292, 1415, 88, 5, 948, 6, 5, 5839, 861, 693, 21, 1340, 19, 80, 7167, 3948, 9, 6642, 3526, 4, 50118, 50118, 34757, 488, 3441, 14, 285, 2887, 11940, 266, 143, 1022, 7, 49, 1781, 624, 158, 360, 6, 53, 5, 194, 6422, 1487, 14, 13616, 4786, 68, 245, 6, 29156, 11, 689, 8, 1131, 1795, 13, 61, 79, 197, 33, 57, 26256, 4, 50118, 50118, 11428, 857, 1054, 4407, 117, 3096, 7, 5, 1103, 8, 21, 2325, 15, 9505, 11, 550, 6, 20, 2921, 491, 431, 6, 1271, 14, 69, 1921, 26, 79, 56, 1199, 124, 5, 9458, 1795, 4, 20, 403, 5256, 194, 2309, 20108, 11395, 4251, 31, 2806, 168, 1795, 4, 50118, 50118, 133, 1441, 18, 6578, 54, 1834, 7, 305, 31578, 1301, 26, 13616, 56, 57, 11, 22, 102, 1099, 1289, 113, 12056, 8, 56, 57, 16535, 19601, 11, 5, 9123, 9, 69, 11395, 339, 4, 50118, 50118, 113, 2847, 171, 82, 1381, 7, 185, 2093, 9, 69, 6, 1760, 101, 51, 32, 69, 964, 95, 7, 120, 103, 418, 31, 69, 4, 85, 1516, 7, 5, 477, 147, 47, 386, 8026, 2512, 35, 3945, 51, 269, 127, 964, 50, 32, 51, 634, 162, 116, 17, 46, 37, 26, 4, 50118, 50118, 250, 8523, 54, 56, 684, 13616, 13, 23, 513, 601, 107, 1602, 69, 7, 20, 2921, 491, 25, 22, 102, 2579, 6, 16219, 1816, 54, 393, 300, 11, 3605, 6, 454, 79, 351, 5, 11395, 72, 50118, 50118, 31722, 4360, 1811, 261, 12706, 67, 174, 5, 2924, 14, 13616, 56, 57, 164, 149, 10, 3469, 2168, 81, 69, 979, 6, 56, 682, 1410, 7, 5111, 69, 6578, 18, 181, 8939, 154, 8, 14, 13616, 18, 985, 682, 26, 10641, 56, 57, 602, 9243, 2196, 4, 50118, 50118, 1121, 830, 6, 5, 2225, 431, 6, 80, 604, 8, 80, 390, 58, 14108, 9044, 71, 13616, 8, 10, 8523, 58, 963, 11, 10, 4464, 81, 6993, 3741, 5600, 1033, 4, 13616, 56, 847, 69, 6964, 8, 314, 5, 3741, 5600, 1033, 11, 5, 17139, 9, 8523, 8804, 8811, 3019, 6, 54, 8473, 106, 124, 88, 69, 6993, 6, 20, 2921, 491, 26, 4, 50118, 50118, 133, 80, 3811, 6, 8, 10, 1441, 9, 13616, 18, 314, 8, 1835, 19, 130, 97, 82, 6, 309, 7, 5, 2225, 4, 83, 1032, 2263, 66, 3329, 10, 7023, 6, 6325 ]

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

[ 8, 935, 24810, 1751, 6, 8, 8811, 3019, 21, 12399, 8, 703, 6, 5, 2225, 431, 4, 50118, 50118, 11428, 857, 1054, 18, 6172, 16, 1768, 13, 307, 11, 3823, 861, 4, 2, 0, 104, 41181, 20442, 5911, 523, 36, 33054, 636, 35, 32681, 40637, 30992, 21593, 18400, 29438, 31746, 25790, 12410, 40637, 26174, 31746, 36963, 862, 29438, 33070, 30992, 30902, 6, 4423, 35, 21283, 289, 2768, 4169, 179, 5911, 718, 5476, 5235, 102, 10975, 417, 1792, 6514, 126, 2268, 44082, 759, 504, 4540, 126, 361, 779, 27732, 43, 21, 5, 21283, 9, 5028, 31, 753, 719, 34720, 7, 361, 779, 27732, 6, 148, 5, 1089, 1744, 28590, 81, 5028, 4, 50118, 50118, 725, 687, 36353, 5911, 523, 21, 5, 200, 979, 9, 229, 4183, 2088, 1534, 1916, 108, 718, 221, 15144, 6, 54, 3447, 5028, 31, 44775, 7, 504, 5220, 4, 20442, 5911, 523, 21, 2998, 21283, 9, 5028, 15, 753, 719, 34720, 6, 71, 5, 27183, 1089, 1572, 56, 8273, 7878, 39, 11884, 6, 229, 4183, 2088, 12342, 14909, 5408, 3082, 6, 15, 195, 759, 34720, 4, 20, 3862, 1412, 21283, 877, 9, 5028, 21, 2998, 10, 1089, 1744, 28590, 4, 152, 1146, 7, 41, 253, 5, 263, 1236, 2407, 37625, 13617, 81, 5028, 6, 61, 56, 57, 2743, 26255, 187, 6728, 4110, 18, 18587, 9, 476, 11, 504, 2546, 4, 50118, 50118, 565, 5223, 9, 21283, 36958, 2495, 5911, 523, 11, 8526, 36729, 12958, 111, 14794, 111, 5028, 50118, 50118, 39986, 20442, 5911, 523, 18, 744, 6, 39, 129, 979, 6, 2804, 5911, 337, 1076, 12, 495, 179, 9054, 27642, 6, 1981, 5, 15436, 6, 8, 20442, 5911, 523, 18, 2138, 6916, 13890, 625, 41750, 5, 20007, 25, 13890, 625, 38, 4, 497, 5, 1786, 9, 234, 11993, 1452, 3634, 506, 1438, 329, 18, 5808, 5928, 9693, 6, 12153, 15312, 1076, 12, 863, 1584, 605, 625, 161, 22, 2264, 10, 2051, 313, 2804, 5911, 337, 1076, 12, 495, 179, 9054, 27642, 16, 328, 1832, 47, 216, 99, 37, 222, 116, 91, 3179, 7, 33290, 5, 20007, 9, 39, 628, 1150, 98, 251, 25, 5, 1089, 32, 11, 1427, 45333, 134, 742, 50118, 50118, 5320, 2816, 31468, 9065, 9, 5, 34377, 1258, 21191, 8, 17353, 21191, 9, 21283, 20442, 32, 577, 15, 5, 28751, 16206, 8, 3672, 42121, 6282, 5672, 9, 5, 470, 589, 11, 14794, 4, 50118, 50118, 35846, 5634, 646, 17668, 27779, 50118, 50118, 49379, 646, 17668, 27779, 50118, 50118, 18801, 1330, 7, 20442, 5911, 523, 9, 5028, 23, 40346, 10271, 50118, 50118, 5320, 2816, 17591, 18836, 9, 20442, 5911, 523, 18, 34377, 1258, 8, 17353, 609, 2485, 2, 0, 6179, 7, 1137, 110, 1233, 97, 116, 50118, 50118, 170, 64, 1701, 4288, 5394, 59, 42, 25, 52, 17, 27, 548, 2967, 28569, 1809, 561, 8, 52, 258, 3776, 24, 6681, 4, 36, 1594, 47, 236, 7, 216, 141, 6, 192, 259, 8, 259, 50118, 50118, 1708, 99, 114, 47, 17, 27, 241, 416, 10, 28569, 661, 8, 110, 1233, 97, 965, 17, 27, 90, 116, 50118, 50118, 11094, 47, 17, 27, 548, 57, 6923, 7, 492, 24 ]

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

[ 10, 738, 53, 47, 218, 17, 27, 90, 216, 141, 7, 1137, 123, 73, 1843, 116, 50118, 50118, 133, 762, 7, 2988, 50118, 50118, 1185, 216, 5, 584, 44, 48, 11329, 23512, 10, 4607, 88, 5, 514, 16, 5, 275, 169, 7, 146, 123, 6966, 17, 46, 116, 2647, 6, 52, 218, 17, 27, 90, 216, 141, 24, 1364, 66, 13, 167, 1159, 6, 53, 52, 64, 14144, 47, 14, 24, 17, 27, 29, 10, 1099, 1114, 77, 24, 606, 7, 28569, 1809, 4, 50118, 50118, 45067, 6, 6167, 951, 88, 28569, 1809, 16, 269, 8127, 626, 4, 50118, 50118, 17, 48, 170, 2035, 23, 84, 2317, 5753, 1928, 4, 5534, 11380, 6, 38, 399, 17, 27, 90, 1137, 47, 137, 53, 24, 17, 27, 29, 5296, 9986, 98, 2540, 185, 160, 70, 110, 5418, 17, 46, 50118, 50118, 30327, 6, 52, 64, 17, 27, 90, 3992, 42, 615, 6, 8127, 626, 328, 50118, 50118, 27524, 12343, 13, 5, 78, 86, 11, 760, 9, 643, 16, 10, 380, 432, 8, 1239, 47, 169, 66, 9, 110, 5863, 2056, 6, 98, 960, 1493, 197, 28, 25, 3473, 25, 678, 4, 5365, 10, 1623, 50, 1141, 54, 6017, 44811, 4643, 7, 28, 10, 28569, 661, 630, 17, 27, 90, 1606, 7, 5, 5863, 23, 70, 4, 50118, 50118, 2847, 52, 17, 27, 890, 224, 24, 456, 35, 8127, 626, 328, 50118, 50118, 250, 21875, 7, 42, 16, 7, 28, 12343, 77, 110, 1623, 50, 1141, 606, 184, 4, 1892, 47, 33, 416, 41, 2480, 37169, 13, 584, 14, 47, 17, 27, 241, 888, 10, 28569, 661, 8, 657, 145, 12343, 198, 5, 790, 4, 50118, 50118, 713, 189, 2369, 101, 10, 205, 1114, 6, 8, 24, 16, 169, 357, 87, 5, 986, 65, 4, 635, 6, 89, 16, 10, 380, 778, 14, 77, 110, 1784, 606, 184, 8, 3681, 47, 12343, 6, 37, 73, 8877, 40, 3104, 42, 1320, 7, 2099, 4, 3047, 13, 171, 82, 54, 218, 17, 27, 90, 216, 59, 28569, 1809, 36067, 27601, 36, 415, 513, 10, 4724, 13, 43, 2099, 4, 178, 47, 40, 33, 1473, 13656, 8201, 14, 3104, 456, 4, 50118, 50118, 133, 762, 7, 1282, 50118, 50118, 1106, 47, 129, 2145, 65, 2136, 9, 42, 1566, 52, 236, 24, 7, 28, 44, 48, 3865, 3697, 1258, 17, 46, 4, 50118, 50118, 5975, 224, 14, 66, 7337, 328, 44, 48, 15299, 34213, 6034, 17, 46, 4, 50118, 50118, 9157, 3697, 1258, 6, 1607, 6, 1607, 328, 50118, 50118, 1121, 84, 1291, 960, 64, 28, 3244, 59, 25, 251, 25, 89, 17, 27, 29, 117, 1164, 6, 53, 383, 101, 42, 109, 240, 10, 828, 9, 7094, 4, 50118, 50118, 250, 205, 169, 7, 1296, 5, 514, 16, 30, 1996, 114, 110, 1784, 34, 655, 1613, 22877, 26501, 4, 1876, 82, 33, 626, 14, 23, 513, 683, 11, 49, 301, 4, 318, 98, 6, 47, 64, 1067, 10, 828, 59, 14, 137, 7106, 14, 47, 74, 101, 7, 860, 24, 456, 4, 318, 45, 6, 23, 513, 5, 2480, 16, 3187, 8, 47, 64, 1137, 59, 110, 3734 ]

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

[ 4, 50118, 50118, 8170, 137, 47, 17, 27, 241, 888, 584, 14, 47, 17, 27, 241, 10, 28569, 661, 47, 17, 27, 890, 120, 41, 1114, 9, 141, 51, 1413, 136, 24, 4, 50118, 50118, 11475, 5, 2480, 16, 3187, 6, 47, 17, 27, 890, 240, 7, 1100, 171, 1142, 6, 98, 28, 2460, 13, 14, 4, 125, 5394, 47, 6, 47, 64, 465, 144, 9, 5, 5274, 15, 42, 1082, 328, 50118, 50118, 243, 70, 7971, 15, 54, 110, 1784, 16, 4, 50118, 50118, 1106, 47, 216, 14, 37, 73, 8877, 16, 45, 182, 1372, 19, 49, 809, 3989, 6, 47, 64, 1137, 106, 14, 89, 40, 28, 82, 9, 143, 3989, 8, 14, 295, 8367, 661, 2127, 32, 5, 129, 2127, 11, 5, 232, 147, 5909, 5907, 14534, 4, 50118, 50118, 1106, 37, 73, 8877, 34, 57, 1179, 62, 3354, 352, 6, 47, 64, 1067, 59, 141, 36067, 34, 117, 2228, 3104, 19, 2099, 4, 50118, 50118, 2409, 98, 15, 6, 52, 17, 27, 241, 686, 47, 64, 465, 42, 66, 30, 2512, 4, 50118, 50118, 2515, 26, 4420, 328, 50118, 50118, 35863, 328, 91, 50, 79, 1072, 7, 492, 24, 10, 738, 328, 50118, 50118, 2264, 109, 47, 109, 122, 116, 50118, 50118, 250, 205, 169, 7, 386, 16, 30, 145, 12343, 198, 5, 790, 4, 1599, 17, 27, 90, 28, 6023, 30, 442, 103, 761, 9, 515, 9, 24, 6, 1339, 10, 1248, 77, 47, 258, 33, 1085, 7, 109, 8, 2854, 7, 1930, 5, 183, 12343, 11, 8, 198, 5, 790, 561, 4, 50118, 50118, 11094, 95, 185, 160, 70, 9, 110, 5418, 235, 71, 5, 1607, 114, 47, 258, 619, 101, 24, 4, 85, 630, 17, 27, 90, 269, 948, 4, 50118, 50118, 133, 220, 1149, 40, 28, 285, 36067, 4, 50118, 50118, 250, 205, 169, 7, 386, 19, 42, 16, 30, 164, 7, 10, 5296, 17679, 36, 3654, 5296, 9986, 43, 4105, 6, 2205, 13981, 50, 5753, 4, 96, 42, 169, 110, 1784, 64, 78, 9160, 7, 5, 36067, 198, 47, 8, 172, 2845, 77, 37, 73, 8877, 16, 1227, 7, 185, 160, 103, 5418, 4, 50118, 50118, 894, 26, 117, 328, 50118, 50118, 16861, 89, 16, 67, 10, 778, 14, 110, 1784, 269, 630, 17, 27, 90, 236, 7, 860, 28569, 1809, 4, 1793, 222, 492, 24, 10, 738, 53, 399, 17, 27, 90, 2254, 24, 4, 50118, 50118, 1106, 51, 218, 17, 27, 90, 619, 3473, 145, 450, 12343, 30, 643, 6, 47, 115, 2854, 15, 129, 3918, 5296, 17679, 2127, 147, 47, 64, 213, 12343, 53, 110, 1784, 64, 1091, 42251, 4, 50118, 50118, 1106, 6, 15, 5, 97, 865, 6, 110, 1784, 630, 17, 27, 90, 236, 10540, 7, 28, 450, 12343, 30, 97, 604, 50, 390, 47, 40, 33, 7, 1394, 59, 49, 1379, 8, 860, 7, 1100, 106, 4, 50118, 50118, 20328, 47, 655, 33, 42, 1067, 116, 50118, 50118, 6179, 222, 24, 173, 66, 13, 47, 116, 50118, 50118, 7888, 1361, 35, 20, 2356, 11, 42, 618, 32, 567, 31, 1204, 8, 599, 4, 318, 47, 465, 65 ]

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

[ 9, 2512, 8, 47, 218, 17, 27, 90, 236, 24, 7, 28, 15, 84, 5059, 6, 905, 201, 216, 8, 52, 17, 27, 890, 3438, 24, 4, 2, 0, 3764, 2371, 3450, 673, 36, 1251, 43, 111, 14008, 33, 2226, 10, 11424, 2407, 212, 1728, 25648, 14, 43111, 63, 308, 33831, 77, 4924, 7, 20843, 6, 1839, 5, 4198, 9, 12272, 12, 3743, 1677, 8, 97, 785, 6, 2634, 26, 15, 296, 4, 50118, 50118, 17, 48, 170, 2226, 10, 11424, 30998, 1468, 14, 16, 441, 7, 5989, 1495, 30, 4895, 7, 5, 3778, 6, 17, 46, 26, 24801, 330, 8595, 9, 5, 589, 9, 2944, 5750, 11, 32930, 918, 3321, 6, 1060, 892, 2092, 11, 5, 8812, 4662, 4, 50118, 50118, 17, 48, 1121, 14981, 6, 47, 1045, 10, 12272, 8, 14, 12272, 40, 14529, 2115, 4895, 7, 5, 3778, 6, 17, 46, 8595, 26, 11, 41, 1194, 15, 5, 4662, 998, 4, 50118, 50118, 133, 1403, 12, 700, 8279, 25648, 2939, 1855, 405, 366, 260, 6, 10, 6572, 303, 11, 5, 23647, 9, 37669, 8, 22126, 4, 152, 16, 14948, 88, 2065, 31260, 3183, 6, 215, 25, 167, 341, 11, 9540, 1033, 15, 1677, 7, 1744, 6345, 4, 50118, 50118, 1779, 10, 12272, 8357, 5, 4747, 3184, 6, 5, 1855, 405, 366, 260, 17904, 7, 41144, 1109, 30, 12748, 4747, 9781, 14, 1642, 27141, 19, 97, 3183, 11, 5, 6572, 6, 2140, 35444, 8223, 5, 12272, 4, 20, 609, 64, 185, 540, 87, 41, 1946, 4, 50118, 50118, 43475, 26, 5, 92, 25648, 2939, 16650, 577, 3183, 6, 1839, 41, 2093, 81, 97, 1403, 12, 36427, 154, 9540, 1033, 6, 61, 37, 26, 58, 44, 48, 13500, 352, 10986, 8, 14738, 9515, 29358, 4748, 4, 17, 46, 50118, 50118, 133, 165, 4776, 5, 10624, 17, 27, 29, 3611, 634, 10, 26700, 12, 41469, 12, 31507, 12272, 4, 44, 48, 170, 2220, 17, 27, 90, 626, 143, 9, 5, 3457, 7, 311, 141, 1810, 24, 64, 28, 6, 17, 46, 8595, 26, 11, 10, 7377, 1194, 4, 50118, 50118, 894, 26, 5, 31260, 64, 129, 5989, 1495, 11, 5, 276, 1514, 683, 6, 8, 74, 45, 173, 71, 6636, 33831, 4, 50118, 50118, 17, 48, 12455, 6, 42, 16, 65, 9, 5, 39303, 6, 17, 46, 37, 26, 6, 1271, 14, 5, 3255, 32, 614, 9, 519, 80, 33831, 11, 2230, 5, 276, 1514, 4, 50118, 50118, 6179, 1641, 7020, 6, 54, 3315, 5, 4747, 8, 14458, 17874, 2757, 9, 5, 589, 9, 14259, 11, 1444, 6, 26, 5, 4139, 58, 5808, 4, 50118, 50118, 17, 48, 30770, 6, 89, 32, 499, 2975, 9, 42, 173, 11, 5, 5989, 9, 8568, 6411, 6, 61, 18808, 304, 11424, 2407, 212, 1728, 11424, 12822, 6, 14, 33, 2152, 3694, 1880, 6, 17, 46, 7020, 26, 11, 10, 445, 4, 50118, 50118, 43475, 26, 5, 25648, 115, 28, 341, 11, 9805, 50, 8671, 50, 932, 14, 3441, 10, 239, 12, 15526, 1907, 9, 25648, 4, 50118, 50118, 17, 48, 1185, 64, 3366, 62, 932, 47, 4724, 6, 17, 46, 37, 26, 4, 50118, 50118 ]

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

[ 43475, 26, 39, 165, 34, 17848, 5319, 15, 5, 1468, 8, 16, 2811, 1861, 1938, 4, 2, 0, 8532, 4857, 4080, 2209, 2960, 3747, 152, 1345, 924, 42014, 36, 4070, 43, 8, 4025, 447, 15, 5, 6838, 6618, 118, 1190, 38, 16772, 11, 28270, 50118, 50118, 133, 13342, 684, 5492, 9, 930, 2622, 30, 10, 3034, 111, 10, 3563, 7187, 30, 6284, 42014, 6, 117, 540, 111, 34, 1747, 57, 156, 7, 2369, 2230, 25, 24, 222, 3620, 107, 536, 4, 50118, 50118, 243, 18, 7533, 5966, 12, 560, 5435, 1468, 4, 20, 819, 16, 26563, 8, 5, 6328, 769, 14425, 4, 50118, 50118, 243, 2012, 19, 10, 367, 5692, 9, 5, 632, 8392, 6, 172, 10, 10084, 9, 163, 6621, 163, 6621, 1378, 38112, 6, 1432, 30, 10, 43064, 1070, 25202, 9, 8583, 2947, 18, 7021, 478, 96, 20, 39771, 4, 6697, 133, 3563, 18, 3334, 45, 11, 5, 6711, 60, 41, 8083, 64, 28, 1317, 17680, 154, 77, 24, 6897, 1084, 12, 1970, 1592, 50118, 50118, 1708, 5, 41879, 6086, 1349, 16, 10, 10043, 111, 5, 78, 86, 14, 930, 702, 15, 10, 3034, 16, 684, 7, 33, 57, 2673, 4, 50118, 50118, 243, 21, 4705, 30, 5, 3295, 11, 5, 26869, 9, 28270, 148, 10, 825, 7, 5, 589, 9, 2361, 6, 147, 5, 6838, 6618, 118, 1190, 112, 111, 5, 232, 18, 78, 23245, 577, 937, 3508, 3034, 111, 21, 716, 4, 50118, 50118, 8532, 4857, 1089, 5672, 2960, 3747, 2722, 9351, 9999, 36, 462, 43, 8, 3262, 2597, 36, 338, 43, 33, 9530, 5, 5492, 7, 141, 24, 74, 33, 12020, 11, 28270, 50118, 50118, 133, 5492, 21, 4705, 15, 10, 316, 12, 3796, 36, 541, 4, 245, 13753, 43, 37662, 877, 9553, 4, 125, 77, 6020, 2722, 9351, 9999, 9, 589, 9, 26320, 11, 4845, 23420, 8, 17964, 3262, 2597, 10543, 5, 9553, 6, 51, 303, 5, 6086, 56, 57, 30587, 4, 50118, 50118, 243, 22, 571, 4097, 23, 275, 129, 10, 6744, 8450, 9, 141, 5, 3034, 12020, 1297, 9351, 9999, 8, 2597, 875, 11, 10, 5059, 13, 5, 1089, 5672, 4, 125, 122, 51, 224, 51, 33, 9530, 24, 7, 141, 24, 888, 74, 33, 12020, 11, 28270, 4, 50118, 50118, 133, 6838, 6618, 118, 1190, 112, 189, 45, 33, 57, 5, 78, 3034, 7, 33, 702, 930, 111, 14, 16192, 6, 24, 18, 57, 3924, 1695, 6, 439, 7, 41, 2059, 3563, 373, 7038, 5216, 2562, 14, 702, 20, 21253, 3542, 13817, 494, 103, 377, 137, 4, 125, 117, 5492, 34, 655, 12671, 4, 50118, 50118, 18801, 20083, 16, 30604, 15, 110, 2187, 2454, 3747, 20, 232, 18, 78, 3034, 930, 50118, 50118, 133, 930, 586, 21, 1982, 30, 10, 31955, 4710, 23, 2482, 4610, 373, 5469, 5997, 7374, 219, 6, 10, 1441, 9, 11730, 18133, 6284, 42014, 6, 54, 56, 1982, 5, 6838, 6618, 118, 1190, 112, 18, 15741, 12769, 11, 39, 774, 25, 3193, 736, 9, 2361, 589, 18, 34572, 14969, 17815, 4, 50118, 50118, 133, 6838, 6618, 118, 56, 5, 2148, 7, 2592, 41, 15741, 373, 10, 22, 298, 9210 ]

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

[ 1297, 61, 2622, 765, 10084, 9, 2369, 9735, 10, 13484, 9, 10, 200, 4, 42014, 11555, 42, 115, 28, 341, 7, 2592, 4388, 2775, 4, 91, 3833, 14, 42, 74, 28, 341, 7, 696, 5431, 77, 10, 633, 21, 1550, 8, 98, 15, 6, 53, 5997, 7374, 219, 794, 5, 801, 7, 3008, 4692, 34879, 4, 50118, 50118, 8532, 4857, 21116, 459, 811, 5672, 8, 4746, 9583, 6389, 3101, 2960, 3747, 5469, 5997, 7374, 219, 26, 447, 23, 5, 1307, 3034, 1299, 101, 145, 23, 5, 5656, 9, 10, 9531, 4128, 50118, 50118, 1620, 157, 25, 145, 27025, 30, 3034, 8326, 111, 37, 74, 213, 15, 7, 555, 65, 9, 5, 987, 18, 16501, 3034, 4211, 111, 5997, 7374, 219, 21, 10, 11086, 23674, 661, 4, 50118, 50118, 565, 5206, 10128, 5997, 7374, 219, 615, 7, 989, 123, 1937, 19, 5, 3034, 13, 10, 363, 4, 22, 100, 4005, 11, 760, 9, 42, 7934, 3563, 60, 5997, 7374, 219, 423, 4841, 6, 22, 5632, 237, 50, 292, 22162, 9, 291, 21737, 8, 383, 6, 11, 10, 929, 14, 1299, 101, 5, 797, 929, 9, 10, 9531, 4128, 72, 50118, 50118, 970, 18, 103, 4464, 59, 99, 37, 222, 220, 4, 1573, 14042, 9, 5, 16772, 12978, 3930, 36, 3376, 104, 43, 161, 5997, 7374, 219, 875, 10, 586, 13, 816, 35464, 12967, 1872, 15, 5, 3563, 6, 8, 77, 5, 586, 18450, 24, 702, 1840, 11873, 5, 1745, 4, 5763, 224, 5997, 7374, 219, 18, 586, 21, 15430, 13, 816, 930, 4, 50118, 50118, 38195, 66, 55, 50118, 50118, 42133, 2722, 9351, 9999, 1834, 7, 5, 2477, 3020, 15, 3295, 4611, 204, 15, 378, 112, 779, 3691, 71, 12112, 35, 1096, 28964, 50118, 50118, 32917, 259, 50, 120, 5, 2477, 8591, 50118, 50118, 133, 898, 21, 2976, 23, 275, 4, 20, 3563, 115, 129, 32161, 5, 3242, 9, 171, 2775, 4, 50118, 50118, 113, 243, 21, 5342, 4023, 13139, 1496, 60, 161, 14042, 4, 50118, 50118, 1708, 2136, 2504, 14, 10, 3034, 21, 4453, 9, 4655, 930, 8, 10, 3295, 751, 12, 32990, 5182, 165, 2035, 423, 11, 5, 76, 7, 638, 10, 2835, 13, 4278, 18, 16928, 4, 50118, 50118, 8532, 4857, 1573, 14042, 2960, 3747, 20, 1461, 37662, 877, 9553, 21, 5305, 30, 41, 8083, 23, 2361, 589, 50118, 50118, 243, 18, 45, 699, 54, 30825, 5, 130, 3745, 9, 930, 51, 2673, 4, 83, 346, 9, 17650, 56, 5812, 8326, 34879, 88, 5, 3563, 8, 190, 5997, 7374, 219, 18, 1732, 9, 1840, 11873, 20, 1745, 189, 33, 57, 13522, 4, 50118, 50118, 4993, 5, 5492, 6, 10, 2737, 8083, 373, 3848, 5097, 553, 5, 3295, 165, 13, 10, 5375, 4, 252, 847, 123, 10, 1732, 9, 5, 1461, 6, 8, 42, 21, 2140, 1595, 7, 5, 230, 6842, 8, 5, 12254, 3995, 1732, 21, 156, 285, 11, 2266, 4, 50118, 50118, 2765, 34273, 154, 5, 5492, 6, 9351, 9999, 8, 2597, 11555, 24, 21, 816, 23, 5, 1593, 2078, 6, 3544, 25, 10, 898, 9, 5, 32017, 18, 11342, 3999, 868, 878, 350, 1335, 25, 5, 37662, 877 ]

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

[ 21, 847, 4, 50118, 50118, 1620, 51, 1467, 5, 2775, 5, 3034, 21, 888, 4453, 9, 816, 6, 5, 1763, 58, 441, 7, 15756, 2230, 30, 141, 203, 5, 5492, 956, 7, 28, 2078, 196, 62, 11, 645, 7, 2230, 914, 5, 2369, 156, 30, 5, 6838, 6618, 118, 1190, 112, 4, 252, 67, 2928, 36786, 33101, 6496, 31, 5, 5492, 111, 600, 45, 5, 8083, 18, 2236, 4, 50118, 50118, 113, 243, 21, 10, 2721, 1151, 77, 52, 78, 1317, 5, 1528, 2369, 9, 42014, 18, 3034, 60, 9351, 9999, 8, 2597, 875, 4, 978, 1268, 64, 1798, 24, 11, 70, 63, 5568, 19634, 1193, 37948, 12594, 4, 50118, 50118, 41417, 5, 1607, 111, 465, 201, 15, 622, 6, 1838, 6, 11477, 8, 599, 2, 0, 133, 3317, 13376, 3380, 467, 6, 61, 34, 57, 5, 1067, 9, 5, 1139, 5, 375, 367, 2516, 6, 21, 11, 5, 340, 13, 70, 5, 1593, 2188, 42, 2608, 4, 3047, 9, 14, 6, 5, 13376, 33, 10, 92, 356, 7, 49, 4517, 8359, 4, 50118, 50118, 2522, 308, 610, 26810, 1071, 6634, 880, 39, 3107, 291, 5048, 4162, 8359, 6, 8, 1440, 9317, 6208, 257, 14379, 36, 12557, 22627, 6, 2755, 43, 5, 440, 4, 112, 1374, 4517, 8, 5078, 1210, 272, 2678, 1742, 5, 440, 4, 132, 93, 8, 299, 9218, 4517, 480, 11, 10, 467, 7973, 19, 664, 8, 3571, 3701, 4, 50118, 50118, 3908, 721, 9, 2150, 16030, 6, 5, 2113, 32, 5, 6208, 257, 14379, 40, 28, 11, 5, 14491, 1053, 21088, 6152, 6, 144, 533, 314, 882, 114, 5, 595, 4459, 10117, 25, 16, 4, 616, 5078, 1210, 272, 2678, 1742, 938, 17, 27, 90, 23, 39, 275, 11, 39, 9536, 2453, 6, 5, 733, 12, 180, 12, 279, 2077, 642, 1584, 5116, 7334, 130, 1389, 70, 5, 169, 7, 2083, 18823, 861, 4, 91, 115, 182, 157, 1212, 10, 1514, 11, 5, 14491, 1053, 10134, 4, 50118, 50118, 2847, 6, 114, 5, 299, 3022, 8, 9218, 5108, 15, 5, 13376, 17, 27, 3380, 115, 182, 157, 28, 455, 12, 30458, 11295, 283, 392, 6, 54, 74, 28, 5, 13376, 299, 4517, 15, 5, 8792, 8, 23, 5, 5299, 116, 50118, 50118, 7539, 6961, 208, 3411, 9335, 250, 6, 8721, 50118, 50118, 2895, 40, 1137, 47, 5, 4831, 5825, 8, 16052, 1409, 404, 1120, 33, 723, 26060, 6, 8, 51, 95, 189, 4, 125, 14405, 12999, 34, 626, 1085, 53, 3364, 1003, 13, 5, 375, 80, 2516, 4, 91, 21, 65, 9, 5, 1776, 195, 11, 5, 336, 8947, 13376, 2836, 10134, 6, 8, 21, 65, 9, 5, 275, 15058, 11, 5, 3694, 10637, 94, 191, 4, 50118, 50118, 3684, 9, 5, 3694, 10637, 4, 287, 10, 753, 76, 793, 13, 144, 9, 5, 191, 4, 4058, 11813, 81, 755, 83, 8, 9218, 5, 1445, 191, 11, 12617, 12, 250, 4, 50118, 50118, 133, 1530, 1994, 7267, 4, 14405, 12999, 8050, 7, 10, 132, 4, 2545, 5661, 8, 10, 112, 4, 3546, 12707, 3808, 4, 616, 2523, 101, 5825, 8, 404, 1120, 8, 3452, 189, 9296, 66, 723 ]

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

[ 23021, 1975, 2192, 8, 2506, 995, 1530, 137, 24, 17, 27, 29, 70, 26, 8, 626, 6, 14405, 12999, 17, 27, 29, 5936, 16, 200, 7, 4146, 4, 91, 1432, 62, 10, 132, 4, 2663, 5792, 12, 1741, 12, 22255, 637, 25, 41, 504, 76, 793, 19, 10, 112, 4, 2831, 5792, 12, 1741, 12, 22255, 25, 10, 753, 76, 793, 4, 50118, 50118, 104, 368, 12999, 17, 27, 29, 20234, 32, 95, 2051, 6, 8, 37, 34, 2343, 41, 20646, 11, 27229, 259, 8, 89, 6, 941, 11, 39, 9158, 4, 91, 630, 17, 27, 90, 1157, 10, 319, 9, 184, 1237, 6, 8, 14, 17, 27, 29, 2446, 7, 10, 2333, 239, 1255, 1011, 731, 36, 3761, 4, 176, 135, 11, 193, 43, 8, 10, 410, 12045, 37, 1516, 15, 39, 20604, 6, 10, 20604, 14, 37, 64, 21922, 818, 25, 80, 430, 6984, 4, 50118, 50118, 1121, 42, 3567, 9, 380, 2506, 995, 1530, 8, 1508, 12, 428, 6038, 1527, 9535, 1751, 1530, 6, 14405, 12999, 189, 28, 10, 828, 639, 4, 125, 114, 47, 236, 10, 2173, 14, 34, 626, 1085, 53, 3364, 37, 64, 797, 10, 177, 93, 8, 213, 1844, 88, 167, 426, 4595, 93, 87, 14405, 12999, 16, 110, 2173, 4, 50118, 50118, 1711, 17, 27, 29, 12810, 596, 37, 16, 4318, 4, 50118, 50118, 250, 11120, 2444, 29570, 17945, 6, 155, 387, 50118, 50118, 4763, 202, 218, 17, 27, 90, 679, 11, 4224, 9817, 4, 20, 291, 12, 180, 12, 279, 6, 1368, 922, 7037, 235, 219, 34, 39, 16855, 4, 125, 37, 17, 27, 29, 67, 2782, 15, 818, 70, 9, 106, 81, 5, 375, 80, 2516, 4, 50118, 50118, 500, 9422, 115, 28, 5, 275, 1359, 62, 476, 6325, 11, 5, 467, 6, 941, 19, 2363, 256, 5236, 260, 117, 1181, 10, 30162, 4, 91, 21, 67, 10522, 5, 2373, 16920, 14005, 11, 5, 336, 8947, 13376, 4451, 11, 5, 78, 457, 9, 5, 191, 4, 50118, 50118, 1711, 17, 27, 29, 77, 37, 2435, 93, 25, 10, 7044, 1508, 47, 93, 14, 5, 360, 9, 2445, 1462, 1275, 58, 1613, 8, 37, 56, 7, 1477, 39, 1548, 8, 4972, 9, 3433, 6751, 4, 1534, 37, 89, 648, 116, 1491, 2198, 6, 53, 25, 37, 222, 11, 336, 6, 9817, 969, 6839, 11431, 11, 5, 200, 457, 9, 193, 4, 50118, 50118, 500, 9422, 3956, 19, 5, 1261, 1833, 27449, 29, 7, 386, 5, 191, 4, 91, 888, 8206, 39, 2506, 995, 731, 31, 5, 191, 2052, 150, 2396, 5, 1656, 731, 3487, 5, 276, 4, 20, 1511, 6, 8, 4634, 5, 476, 6, 362, 10, 828, 7, 283, 552, 6, 53, 30, 1084, 4162, 9817, 21, 6346, 683, 456, 4, 34587, 24, 19, 10, 479, 28390, 19399, 46258, 11, 5, 1261, 331, 815, 8, 24, 70, 761, 9, 817, 1472, 4, 50118, 50118, 894, 1550, 5, 191, 11, 12617, 12, 250, 4, 3128, 37, 300, 89, 6, 37, 303, 39, 8579, 6, 24682, 479, 28355, 11665, 34682, 11665, 38900, 11, 2929, 426, 4, 91, 3203, 23, 5, 1609, 731, 36, 466 ]

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

[ 4, 466, 135, 9, 5, 86, 43, 136, 5, 144, 3319, 9218, 37, 56, 655, 2713, 4, 20, 476, 1835, 25, 157, 25, 37, 910, 8435, 799, 184, 1237, 8, 1117, 8862, 11, 95, 29065, 23, 8142, 4, 50118, 50118, 970, 58, 864, 4863, 59, 39, 1443, 6, 8, 51, 58, 10973, 352, 98, 4, 125, 37, 34, 190, 2343, 5, 1186, 1552, 9, 5, 2131, 2797, 6, 8, 37, 460, 56, 5, 11642, 6, 10, 7659, 11, 39, 375, 301, 11, 239, 334, 4, 91, 95, 56, 7, 342, 24, 561, 6566, 4, 91, 2551, 7, 109, 14, 11, 1261, 6, 53, 3956, 456, 11, 5750, 4, 50118, 50118, 500, 9422, 965, 17, 27, 90, 5, 1969, 4517, 6, 53, 37, 34, 15342, 2343, 5, 1460, 7, 146, 5, 11431, 553, 9, 123, 4, 345, 17, 27, 29, 117, 1219, 7, 45, 1057, 7, 192, 123, 11, 17822, 5246, 2645, 220, 191, 4, 20, 13376, 32, 11, 7764, 240, 9, 41, 7476, 371, 10895, 4, 318, 51, 64, 28, 3186, 6, 9817, 115, 182, 157, 28, 95, 14, 4, 2, 0, 38291, 1756, 453, 54, 11252, 7, 3467, 9079, 798, 13, 13594, 154, 5, 2604, 2637, 3547, 646, 1251, 742, 50118, 50118, 15685, 34, 174, 258, 5, 3085, 168, 8, 5, 1756, 14, 588, 2163, 32, 956, 7, 6136, 5, 3425, 1486, 11, 1854, 6, 309, 7, 5, 1083, 2853, 790, 9, 3589, 18, 1093, 12, 3707, 18022, 834, 4, 50118, 50118, 20839, 10, 529, 11, 3467, 19, 4844, 9, 5, 3085, 1756, 6, 29300, 7572, 523, 1417, 26, 15, 302, 5, 3050, 2380, 197, 20497, 386, 10, 4007, 8, 5145, 632, 6054, 4, 50118, 50118, 113, 133, 1083, 13594, 23, 5, 2604, 2010, 1080, 15, 5, 1854, 2479, 3547, 16, 117, 169, 10, 9727, 242, 3089, 13706, 13, 5, 50118, 50118, 28311, 2255, 3085, 4304, 7, 109, 960, 51, 236, 60, 37, 26, 4, 50118, 50118, 113, 170, 32, 20121, 3923, 5063, 5, 4304, 3486, 5, 1756, 6, 117, 169, 6, 24, 16, 888, 5, 94, 10342, 4, 50118, 50118, 113, 3908, 84, 13594, 23, 5, 2604, 2010, 1080, 52, 33, 341, 62, 5, 1086, 3944, 10549, 61, 758, 488, 1523, 201, 4, 152, 16, 5, 94, 2868, 7, 5, 1247, 8, 5, 1756, 7, 185, 49, 2127, 198, 5, 2103, 8, 7, 386, 10, 632, 6054, 72, 50118, 50118, 40420, 523, 1417, 18, 2868, 1432, 1083, 270, 38943, 1069, 5066, 5202, 3623, 18, 445, 94, 186, 14, 1854, 18, 917, 197, 1149, 159, 114, 51, 1395, 17890, 4907, 6, 53, 2449, 5, 580, 45, 7, 860, 7, 1920, 270, 13524, 1076, 12, 15844, 31, 476, 4, 50118, 50118, 565, 1722, 5954, 7932, 50118, 50118, 21243, 5202, 3623, 18, 4166, 1382, 3448, 7, 1920, 8021, 1567, 7932, 8, 7, 9202, 62, 798, 18, 2274, 71, 24, 4953, 10, 2010, 1080, 2479, 3547, 14, 74, 33, 8686, 1854, 18, 4847, 9105, 15, 1759, 12, 30814, 4800, 4, 50118, 50118, 894, 67, 156, 699, 14, 798, 20408, 464, 11, 1854, 15, 1110, 278, 30, 5, 580, 4, 50118, 50118, 2709, 49, 233 ]

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

[ 6, 5, 3918, 3085, 1756, 453, 6425, 5, 1083, 1170, 4, 50118, 50118, 113, 170, 6, 5, 4844, 9, 5, 3425, 1756, 6, 33, 283, 31, 1854, 7, 224, 128, 31653, 47, 13, 5, 13594, 108, 7, 5, 1083, 6692, 60, 1209, 625, 1069, 7832, 718, 6, 2971, 12, 15841, 9, 5, 496, 1674, 13, 19573, 9, 3085, 42695, 6, 26, 15, 302, 4, 50118, 50118, 113, 7608, 116, 3047, 9, 5, 754, 14, 24, 156, 24, 678, 7, 2097, 6731, 8149, 11, 3085, 5185, 6, 8, 5699, 5, 169, 13, 6054, 4, 50118, 50118, 113, 22763, 9399, 154, 6731, 8149, 646, 179, 1854, 18, 5185, 742, 1639, 1078, 12360, 13, 5, 6321, 11, 1854, 72, 50118, 50118, 15685, 56, 26, 24, 40, 9449, 818, 143, 3547, 21856, 8021, 6, 442, 1854, 10, 1275, 516, 13, 3467, 71, 24, 56, 1220, 6169, 935, 14771, 11, 7662, 30, 4885, 32155, 31, 634, 63, 13594, 11, 10, 2010, 1080, 900, 11, 494, 4, 50118, 50118, 15685, 26, 5, 2479, 2604, 3547, 115, 33, 669, 7, 831, 6530, 4, 50118, 50118, 15685, 34, 3987, 2966, 1854, 18, 168, 7, 5731, 3604, 4907, 6, 53, 34, 38320, 12664, 352, 19, 50118, 50118, 27467, 3949, 30, 584, 8021, 782, 55, 86, 7, 109, 98, 6, 8, 34, 26, 39, 4257, 458, 5, 4887, 13, 377, 9, 27801, 4, 50118, 50118, 15685, 34, 1238, 5, 580, 9, 32263, 154, 63, 2416, 6, 6489, 14, 6169, 81, 6526, 5686, 63, 7184, 7, 1744, 50118, 50118, 37635, 2071, 8, 341, 5, 2604, 3547, 7, 8273, 3876, 6186, 424, 3916, 29696, 30, 1370, 4, 50118, 50118, 21243, 5202, 3623, 2528, 5, 665, 2479, 3547, 15, 1854, 56, 10, 1122, 4374, 8, 26, 97, 2010, 1080, 3949, 56, 3179, 7, 680, 2777, 2255, 66, 831, 6530, 4, 50118, 50118, 9634, 2449, 50118, 50118, 4148, 5, 1897, 760, 6, 1854, 18, 1609, 15014, 3346, 3458, 884, 34, 576, 2892, 7, 2027, 749, 136, 831, 6530, 8, 67, 3711, 7, 28528, 19, 4260, 19918, 11, 5, 382, 8, 1005, 114, 1854, 606, 223, 908, 4, 50118, 50118, 113, 100, 224, 7, 70, 9, 1005, 6, 38, 224, 7, 730, 6, 52, 40, 278, 62, 4260, 20824, 54, 32, 122, 11, 110, 749, 6, 114, 47, 4840, 1854, 50, 8398, 60, 2374, 6186, 2543, 118, 12153, 5654, 45989, 833, 27542, 7928, 26, 11, 10, 1901, 628, 15, 395, 1559, 4, 50118, 50118, 113, 7605, 122, 15, 6, 41, 2295, 13, 41, 2295, 8, 10, 13495, 13, 10, 13495, 72, 50118, 50118, 725, 2401, 7928, 1834, 7, 10, 8090, 9, 17146, 390, 54, 376, 7, 904, 49, 13110, 13, 39, 979, 18, 744, 30, 4727, 29253, 656, 42, 353, 4, 50118, 50118, 113, 6766, 75, 283, 583, 84, 247, 6, 38, 21422, 47, 72, 50118, 50118, 725, 2401, 7928, 18, 1450, 1407, 277, 2892, 30, 6092, 808, 3713, 11186, 119, 6, 1854, 18, 1093, 1269, 6, 54, 174, 5, 758, 435, 45, 7, 11865, 5, 92, 16676, 1676, 4829, 30, 5, 1756, 6, 5608, 22, 90, 4894, 1797, 113, 136, 143, 247, 14, 473, 98, 4 ]

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

[ 2, 0, 243, 18, 33466, 10237, 34250, 272, 3384, 597, 5121, 1941, 11932, 12846, 50118, 50118, 7939, 162, 386, 160, 30, 584, 14, 42, 16, 65, 9, 167, 426, 14, 3457, 65, 11383, 672, 4, 318, 110, 101, 162, 54, 64, 342, 62, 19, 5, 239, 672, 9, 26190, 14, 42, 177, 40, 3211, 23, 47, 31, 86, 7, 86, 6, 172, 47, 197, 28, 2051, 4, 30518, 114, 110, 45, 162, 8, 218, 75, 33, 10, 239, 11383, 672, 172, 47, 429, 236, 7, 1095, 409, 31, 42, 177, 741, 16254, 47, 144, 533, 40, 253, 62, 3433, 110, 4868, 36855, 50, 402, 1493, 583, 47, 4, 345, 10657, 5745, 147, 47, 64, 1524, 8, 21537, 1071, 5745, 147, 47, 64, 310, 13215, 23, 65, 12879, 361, 11, 6, 361, 66, 6, 8, 504, 6538, 8, 172, 5855, 5745, 147, 47, 64, 3511, 566, 1368, 5087, 11622, 9, 472, 11, 10, 5456, 13, 29172, 659, 15, 5, 5456, 884, 15659, 4, 125, 10045, 5745, 16, 147, 5, 1056, 477, 9, 42, 177, 16, 4, 152, 5745, 16, 182, 1365, 23, 5, 1786, 6, 172, 24, 16, 10, 410, 543, 457, 169, 149, 6, 53, 77, 47, 120, 62, 7, 3369, 8538, 7938, 6, 24, 3374, 10, 177, 147, 19551, 5021, 40, 2142, 47, 31, 112, 620, 317, 7, 158, 212, 11, 10, 3089, 179, 1071, 9, 41, 2295, 4, 9136, 89, 16, 1365, 5745, 13, 34476, 6, 53, 11, 3157, 6, 24, 269, 630, 75, 244, 203, 4, 152, 177, 74, 42608, 21576, 1594, 1459, 31, 519, 23158, 40342, 21179, 3435, 11, 1539, 5745, 741, 16254, 114, 47, 156, 10, 1099, 5021, 47, 197, 33, 10, 778, 7, 5494, 1506, 14, 4683, 1386, 9, 519, 7, 1275, 139, 5, 27329, 21126, 1062, 4, 1698, 111, 34107, 3768, 6, 950, 8, 1011, 33436, 6, 3739, 9, 14852, 6058, 7, 907, 6, 64, 30447, 10181, 3768, 8, 18190, 6646, 6, 804, 16, 18260, 6, 12879, 32, 2216, 190, 114, 747, 1202, 6, 12774, 32, 1065, 674, 13, 10, 1709, 177, 4, 9051, 111, 440, 2031, 9, 8408, 913, 36, 36369, 6111, 42872, 620, 8110, 3637, 238, 117, 23158, 40342, 11, 1539, 5745, 6, 1395, 1137, 2508, 8619, 6, 3319, 12879, 32, 4703, 7, 11821, 149, 6, 34262, 18116, 8, 10314, 23841, 6, 2057, 16, 823, 4703, 751, 158, 2543, 6, 103, 1637, 6420, 3471, 32, 42092, 1168, 1827, 4, 152, 177, 30, 70, 839, 16, 10, 31708, 177, 6, 53, 114, 47, 2025, 75, 441, 7, 192, 149, 5, 5891, 26190, 42, 177, 40, 3211, 23, 47, 6, 110, 357, 160, 4959, 409, 4, 2, 0, 100, 1224, 1105, 10, 367, 377, 536, 6, 8, 10, 353, 423, 38, 1410, 66, 9, 6314, 8, 124, 88, 127, 6585, 8140, 11, 127, 1041, 108, 790, 11, 5147, 6, 6863, 4, 497, 14, 477, 6, 127, 665, 9953, 9, 5755, 56, 9200, 59, 1117, 377, 6, 8, 5, 14012, 253, 9, 127, 6824, 34690, 26901, 23, 5, 76, 18, 253, 5256, 5, 28, 6504, 34432, 568, 7, 6, 23, 513, 8059, 6, 492, 62, 127 ]

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

[ 2222, 301, 4, 50118, 50118, 100, 8505, 31, 468, 2401, 271, 1821, 158, 107, 536, 19, 10, 19399, 11, 6026, 8, 385, 19133, 88, 301, 11, 188, 469, 412, 455, 9, 9743, 8, 8354, 13, 127, 499, 4, 38, 14838, 14, 38, 1017, 28, 22, 5691, 8, 1800, 113, 30, 5, 86, 38, 21, 564, 4, 572, 4551, 7, 2823, 10, 633, 11, 127, 882, 1320, 71, 1564, 38, 1224, 7, 2304, 4, 85, 21, 5342, 1365, 173, 7, 120, 6, 8, 683, 38, 41750, 88, 5, 232, 9, 239, 12, 1397, 4808, 6004, 647, 6, 24, 24528, 162, 95, 615, 418, 7, 697, 10, 5342, 3473, 480, 114, 202, 10, 24288, 7, 24288, 480, 8066, 150, 38, 13942, 127, 3904, 28367, 4, 83, 891, 12, 180, 3222, 34646, 447, 25, 10, 931, 3167, 15, 3541, 8, 2384, 924, 1661, 103, 4315, 1034, 14, 38, 189, 888, 146, 24, 88, 5, 265, 6, 53, 301, 25, 10, 30270, 20126, 21, 543, 8, 38, 1240, 377, 15, 8, 160, 5755, 2445, 13, 92, 1377, 7, 1468, 2072, 4, 20, 4724, 13, 402, 4375, 1051, 162, 124, 7, 2304, 6, 147, 38, 2442, 454, 38, 21, 4976, 160, 10, 367, 107, 423, 4, 96, 32897, 38, 1153, 115, 33, 57, 55, 4353, 11, 10013, 10, 756, 6, 53, 11, 10, 343, 101, 188, 469, 47, 1169, 173, 50, 47, 41403, 6, 8, 1315, 1059, 4851, 8, 4851, 7, 283, 30, 25, 5, 107, 5328, 15, 8, 5, 866, 6050, 6, 98, 5, 10563, 7, 185, 99, 47, 115, 120, 8, 45, 492, 24, 62, 21, 670, 4, 50118, 50118, 15952, 2129, 4558, 29384, 6, 53, 89, 18, 2532, 10, 1989, 761, 9, 7047, 18389, 14, 65, 3734, 145, 2129, 11, 188, 469, 412, 4, 20, 701, 9, 1207, 16, 98, 239, 6, 8, 5, 5891, 23205, 1258, 31, 70, 198, 47, 9, 3734, 47, 115, 28, 519, 6, 383, 47, 115, 28, 2159, 6, 4808, 10867, 147, 47, 115, 28, 1207, 6, 114, 129, 47, 56, 5, 9083, 6, 5764, 1108, 47, 159, 1025, 4, 23300, 82, 33, 553, 59, 22, 27816, 1033, 113, 81, 5, 107, 131, 38, 206, 23, 65, 477, 38, 429, 33, 56, 80, 50, 130, 6317, 1932, 11, 10, 4522, 1316, 6, 53, 10728, 6, 38, 218, 75, 216, 141, 1268, 54, 1074, 11, 188, 469, 412, 115, 33, 4522, 3867, 51, 146, 411, 2415, 4, 1308, 22, 3707, 31760, 113, 5956, 11, 861, 4424, 9877, 6, 6314, 21, 393, 540, 87, 68, 7784, 10, 353, 6, 8, 24, 393, 2294, 164, 62, 6, 7328, 127, 1425, 4, 374, 674, 6, 71, 5956, 8, 4033, 6, 38, 1153, 56, 540, 87, 130, 6317, 1932, 228, 353, 7, 342, 1706, 689, 6, 97, 4068, 8, 592, 1713, 4, 287, 5, 107, 5328, 15, 6, 8, 127, 4042, 1059, 540, 8, 540, 5204, 6, 38, 18899, 7, 10, 7246, 745, 11, 10, 540, 18842, 3757, 6, 53, 187, 38, 938, 75, 442, 25, 203, 418, 6, 14, 222, 410, 7, 5136, 5, 3992, 9, 3117, 2185, 4, 7411, 71, 5956, 8 ]

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

[ 4033, 38, 56, 1085, 31784, 6, 8, 5, 129, 1219, 127, 5956, 6240, 399, 75, 9952, 21, 142, 9, 127, 1361, 516, 19, 127, 827, 4, 50118, 50118, 13624, 38, 269, 399, 75, 33, 5, 418, 7, 3529, 130, 455, 7317, 10, 183, 4, 38, 74, 11743, 710, 1899, 15, 10, 158, 1404, 4592, 7, 489, 162, 164, 149, 5, 173, 183, 6, 8, 172, 38, 1017, 3529, 15092, 6, 7134, 8, 6231, 13, 3630, 6, 50, 10, 64, 9, 28099, 6, 50, 10, 5749, 9, 10798, 7666, 6, 8, 4076, 10, 6162, 4437, 142, 38, 1467, 24, 74, 3300, 62, 127, 9377, 4, 85, 460, 2551, 101, 358, 86, 38, 115, 818, 2916, 10, 1108, 402, 74, 213, 1593, 7, 489, 127, 471, 223, 514, 4, 1308, 827, 74, 22422, 15986, 10, 891, 6317, 1932, 31, 127, 1316, 142, 38, 56, 2294, 442, 1361, 3081, 77, 38, 956, 7, 582, 5956, 6, 50, 10, 3267, 37148, 4047, 24660, 11, 127, 745, 1552, 162, 7, 10397, 960, 38, 2164, 8, 907, 10, 92, 24866, 6, 50, 190, 600, 38, 56, 829, 25116, 5755, 1795, 7421, 38, 202, 1249, 62, 14395, 5, 168, 418, 77, 38, 1658, 127, 2556, 8, 25892, 519, 127, 6729, 28788, 6555, 114, 38, 399, 75, 283, 62, 19, 5, 418, 4, 50118, 50118, 8170, 519, 10, 5204, 455, 86, 633, 11, 5, 94, 367, 107, 399, 75, 253, 62, 442, 14, 203, 9, 10, 2249, 4, 20, 94, 633, 14, 38, 56, 21, 11, 2304, 647, 13, 10, 239, 12, 1397, 8540, 1518, 9, 10, 538, 720, 2414, 4184, 4352, 12772, 4, 20, 1907, 9, 138, 147, 51, 33, 30756, 11, 110, 4042, 101, 9686, 15, 5, 21449, 731, 41, 3200, 64, 4073, 11, 10, 576, 737, 6, 6069, 9, 819, 50, 141, 251, 51, 348, 57, 19, 5, 138, 6, 25, 157, 25, 41, 22, 415, 40, 113, 1288, 61, 5072, 839, 51, 64, 7818, 668, 47, 396, 3120, 50, 1219, 23, 143, 86, 6, 61, 16, 99, 2140, 1102, 7, 162, 4, 870, 14, 86, 5, 3722, 32446, 9, 667, 8, 667, 13, 98, 171, 107, 7, 6726, 8, 15342, 2157, 101, 38, 1017, 15342, 1447, 56, 551, 63, 5831, 4, 38, 2984, 9810, 1912, 13, 5, 78, 86, 11, 127, 301, 11, 5, 94, 891, 107, 38, 1240, 89, 4, 10427, 160, 1361, 3591, 11, 227, 1315, 8, 8960, 19220, 154, 106, 66, 77, 173, 399, 75, 283, 1769, 615, 50, 399, 75, 582, 162, 615, 7, 4960, 3280, 31519, 8, 3527, 3081, 5044, 24985, 127, 1361, 6, 981, 7, 1675, 4331, 30, 12089, 6, 54, 74, 1394, 162, 141, 203, 9, 127, 5755, 1795, 38, 115, 342, 1706, 127, 1126, 6, 50, 114, 38, 56, 143, 284, 50, 964, 54, 115, 582, 160, 127, 13035, 13, 162, 4, 85, 18, 1256, 8513, 99, 2594, 7, 110, 20652, 71, 107, 9, 3860, 8, 2988, 4, 370, 1034, 13, 5, 275, 53, 1057, 5, 2373, 4, 370, 1532, 7, 905, 213, 9, 22215, 8, 1991, 13, 110, 499, 4, 1308, 7416, 9, 65, 183, 2159, 41 ]

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

[ 3537, 50, 10, 790, 50, 190, 10, 92, 512, 27805, 1070, 107, 536, 4, 50118, 50118, 2847, 444, 11, 5, 799, 688, 38, 348, 57, 1207, 11, 5147, 38, 348, 57, 3946, 31, 799, 614, 5007, 2111, 544, 1315, 6, 31, 386, 12744, 7, 1494, 2326, 7, 1520, 7, 19729, 1028, 5301, 6, 2532, 142, 51, 206, 14, 38, 437, 81, 26505, 13, 106, 6, 50, 45, 6048, 615, 6, 50, 2532, 142, 127, 1460, 7, 4486, 11240, 13, 106, 34, 885, 22597, 4, 38, 95, 218, 75, 216, 5988, 4, 9299, 50, 6833, 2452, 218, 75, 190, 15304, 7, 2142, 162, 16117, 16081, 4, 497, 42, 477, 147, 38, 439, 7, 334, 630, 75, 1266, 203, 4, 1308, 6654, 16, 158, 107, 9, 2111, 544, 8, 3167, 173, 6, 8, 117, 65, 1072, 7, 492, 162, 10, 778, 7, 3364, 38, 64, 109, 932, 1493, 4, 38, 236, 7, 213, 124, 7, 334, 6, 50, 120, 103, 761, 9, 12930, 6, 53, 38, 240, 10, 633, 11, 645, 7, 582, 13, 35818, 1265, 4, 1308, 964, 6, 54, 32, 2260, 5668, 11, 49, 8478, 6, 1158, 1232, 8, 602, 333, 28177, 6, 1137, 162, 141, 22, 22914, 113, 38, 524, 6, 141, 51, 22, 7254, 75, 1346, 596, 951, 1979, 75, 6198, 162, 60, 8, 141, 38, 95, 33, 7, 22, 27390, 667, 8, 45, 492, 62, 72, 85, 817, 162, 5074, 7, 206, 59, 141, 203, 38, 1059, 10, 15934, 11, 127, 7922, 9, 964, 11, 5, 94, 367, 107, 4, 826, 23864, 6, 28177, 6, 22988, 5559, 6, 3482, 6734, 6, 7011, 66, 23, 5692, 8, 4207, 95, 1059, 540, 8, 540, 10, 233, 9, 127, 8066, 454, 144, 9, 5, 86, 5907, 269, 18523, 7, 860, 7, 680, 162, 4, 38, 393, 6102, 143, 9, 127, 964, 13, 14, 131, 47, 64, 129, 2991, 30790, 142, 47, 214, 5909, 350, 2129, 7, 4064, 13, 98, 251, 454, 82, 95, 912, 1996, 4, 38, 437, 5394, 6, 50, 2532, 27864, 615, 6122, 15, 141, 47, 356, 23, 24, 6, 7, 33, 103, 5784, 1800, 964, 54, 1006, 269, 543, 8, 342, 11, 5, 1351, 7, 555, 182, 157, 1199, 11, 49, 7091, 1315, 4, 85, 18, 45, 98, 203, 14, 47, 29778, 110, 964, 108, 1282, 50, 32, 27064, 9, 106, 6, 24, 18, 55, 14, 145, 198, 82, 54, 47, 1701, 110, 6763, 54, 70, 2312, 7, 22, 19746, 24, 113, 77, 47, 2512, 15342, 30282, 8, 1136, 817, 47, 864, 549, 47, 269, 190, 9943, 19, 14, 2180, 4, 8374, 5, 129, 26536, 62, 11, 5, 929, 3374, 10, 1256, 2933, 3613, 14, 47, 1017, 1195, 45, 13595, 1268, 7, 71, 10, 150, 4, 50118, 50118, 1121, 6676, 7, 171, 6, 38, 437, 14299, 5394, 4, 38, 300, 7, 697, 42, 2770, 301, 7501, 30, 2770, 82, 13, 98, 251, 6, 190, 114, 144, 9, 24, 21, 1207, 1684, 127, 839, 6, 8, 190, 122, 14, 38, 348, 283, 7, 477, 147, 24, 18, 5072, 70, 9939, 6, 38, 202, 524, 10583, 615, 7, 33, 284, 54 ]

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

[ 18, 2882, 7, 492, 162, 10, 317, 7, 1095, 8, 3993, 162, 4, 125, 122, 6, 2128, 38, 10728, 218, 75, 216, 99, 74, 348, 57, 3007, 6, 519, 2984, 13, 98, 251, 10, 301, 9, 5407, 9951, 129, 7, 33, 24, 70, 1136, 4102, 6, 50, 393, 519, 56, 5, 778, 11, 5, 78, 317, 4, 50118, 50118, 100, 2307, 62, 888, 13294, 11, 5, 40364, 470, 7419, 14, 38, 115, 28, 932, 38, 770, 7, 28, 4, 178, 38, 56, 10, 205, 1219, 131, 38, 21, 24528, 55, 1616, 8, 24073, 87, 10807, 643, 4, 178, 38, 202, 10879, 24, 4, 407, 122, 38, 3874, 62, 103, 19905, 7168, 8, 7958, 14, 114, 38, 95, 489, 667, 402, 40, 464, 8, 38, 581, 1747, 33, 5, 778, 7, 3364, 38, 64, 28, 10, 1800, 621, 8, 7057, 5, 1403, 12, 5985, 14, 34, 5764, 57, 23544, 31, 162, 81, 5, 94, 158, 107, 4, 152, 662, 6, 959, 6, 38, 95, 236, 7, 213, 124, 7, 3581, 142, 24, 1302, 101, 117, 65, 40, 655, 492, 162, 14, 778, 4, 50118, 50118, 27077, 18, 527, 16, 233, 9, 10, 27436, 1869, 651, 25993, 1791, 54, 173, 543, 8, 648, 202, 3860, 7, 146, 3587, 972, 4, 10900, 55, 59, 97, 2172, 108, 3734, 259, 4, 2, 0, 1409, 50118, 50118, 133, 10025, 6, 786, 12, 28330, 3085, 1539, 7, 10, 8513, 23422, 4373, 25, 233, 9, 5, 4681, 21166, 1033, 420, 5, 976, 4, 125, 14, 765, 3085, 2428, 9, 1466, 34, 251, 187, 34863, 88, 41, 18145, 9, 25585, 1938, 8, 744, 4, 20, 1016, 1674, 9, 5, 1211, 4415, 5055, 99, 171, 416, 4984, 35, 1854, 16, 31971, 11, 455, 12, 8056, 2366, 997, 4, 287, 16, 1528, 11, 358, 2366, 997, 6, 8233, 12675, 32, 12392, 8, 2227, 4, 50118, 50118, 32476, 5, 4304, 34, 2584, 66, 8513, 4504, 136, 6321, 6, 217, 997, 3474, 4, 20, 3234, 1756, 16, 67, 2149, 13, 1912, 981, 7, 5, 3257, 9, 6321, 4, 4619, 29758, 32, 1197, 9, 751, 4888, 1572, 1633, 11, 1854, 25, 157, 4, 50118, 50118, 10643, 768, 5, 2340, 1050, 4289, 16, 44, 48, 1694, 17, 27, 548, 300, 7, 109, 402, 328, 17, 46, 125, 959, 10697, 5, 1068, 2114, 3085, 6321, 6, 5, 11801, 14, 143, 751, 831, 1912, 74, 888, 244, 5, 1068, 16, 182, 6063, 4, 2285, 17584, 2485, 6, 1854, 17, 27, 29, 831, 6, 941, 63, 935, 1370, 6, 1189, 65, 9, 5, 8260, 11, 5, 4681, 232, 6, 8, 2228, 751, 831, 5292, 6, 941, 30, 5, 315, 532, 6, 6169, 6, 50, 97, 17908, 4257, 9, 1854, 74, 16561, 1266, 190, 2388, 28161, 4, 121, 4, 104, 21594, 28693, 673, 831, 6530, 399, 17, 27, 90, 836, 5443, 6, 4593, 6, 50, 573, 7, 7662, 6, 8, 24, 1819, 16, 45, 164, 7, 109, 98, 11, 1854, 4, 50118, 50118, 41897, 17, 27, 29, 997, 16, 24850, 154, 11, 10, 976, 202, 842, 594, 8223, 11, 5, 9123, 9, 5, 121, 4, 104, 4, 997, 11, 3345 ]

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

[ 8, 5, 25454, 2985, 15668, 24, 314, 639, 4, 20, 2190, 16, 67, 122, 602, 15, 41, 3150, 25454, 1026, 126, 8, 5, 4854, 16, 2227, 9, 1854, 1959, 5, 1312, 9, 41, 4939, 2174, 997, 181, 9451, 15014, 25549, 11, 2030, 3466, 8, 5978, 136, 13496, 17, 27, 102, 12, 23169, 3233, 11, 1603, 8, 3345, 4, 50118, 50118, 21336, 16, 5, 144, 505, 1219, 13, 121, 4, 104, 4, 773, 11, 1854, 4, 590, 3348, 121, 4, 104, 3358, 14707, 2637, 15, 1603, 6, 8, 3465, 3455, 9, 831, 908, 6, 1854, 1189, 10, 25057, 16453, 1002, 4, 12493, 17, 27, 29, 17908, 776, 6, 559, 6, 8, 831, 3405, 19, 9034, 1266, 14, 1170, 7, 10115, 1854, 32, 3924, 6238, 7, 28, 23, 513, 5647, 3448, 23, 19579, 1603, 4, 50118, 50118, 32476, 5, 315, 532, 6, 5, 1281, 6, 8, 5, 121, 4, 104, 3358, 6996, 4681, 20303, 918, 74, 6573, 10, 55, 1475, 12, 21336, 811, 6, 540, 5910, 12, 13283, 168, 11, 1854, 6, 61, 7562, 762, 749, 9, 121, 4, 104, 4, 773, 217, 1870, 6, 3345, 6, 8398, 6, 2769, 4, 252, 74, 67, 6573, 10, 540, 37868, 168, 6, 187, 20509, 3291, 4800, 66, 88, 5, 2827, 6, 5608, 16826, 4, 50118, 50118, 1708, 25, 34, 8077, 460, 57, 5, 403, 6, 10, 121, 4, 104, 4, 568, 7, 2142, 7251, 12, 267, 2580, 50, 20824, 50, 190, 1255, 3517, 7, 1854, 6, 351, 17, 27, 90, 28, 142, 663, 16, 6017, 3915, 59, 3085, 6321, 4, 20, 8021, 4304, 34, 8513, 1538, 6321, 13, 107, 6, 53, 24, 34, 57, 169, 350, 5616, 13, 663, 7, 4022, 59, 215, 383, 4, 12493, 3903, 121, 4, 104, 4, 18984, 13, 23652, 8, 11809, 11, 5, 98, 12, 4155, 44, 48, 9424, 997, 15, 5231, 6, 17, 46, 24, 1051, 997, 28813, 7, 1962, 5, 121, 4, 104, 4, 4602, 1771, 3782, 6666, 3345, 11, 9633, 6, 24, 1682, 5, 9533, 272, 13887, 9754, 8, 5, 3465, 1424, 2743, 18234, 3786, 1174, 8, 1050, 659, 6165, 58, 393, 10, 936, 13, 5, 315, 532, 4, 287, 331, 641, 3582, 4769, 234, 922, 463, 2641, 6, 44, 48, 1694, 32, 45, 460, 4292, 4, 17, 46, 50118, 50118, 25216, 84, 6727, 1379, 429, 28, 6, 588, 2390, 59, 2228, 831, 6530, 40, 28, 156, 19, 410, 6203, 13, 3085, 6321, 6, 3085, 2366, 2313, 6, 50, 1854, 17, 27, 29, 632, 7967, 126, 70, 9, 61, 40, 6297, 4914, 14, 115, 94, 10, 2706, 50, 55, 4, 83, 121, 4, 104, 21594, 28693, 673, 935, 997, 136, 1854, 74, 533, 45, 253, 101, 7662, 17, 27, 29, 126, 19, 117, 4669, 12675, 8, 10, 2119, 4205, 4, 6211, 1854, 17, 27, 29, 831, 6, 941, 935, 2148, 6, 24, 40, 356, 444, 55, 101, 3345, 87, 7662, 4, 50118, 50118, 29038, 41009, 5073, 16, 5, 129, 169, 42, 997, 40, 28, 1249, 4, 23572, 13, 997, 3474, 6, 549, 11, 632, 50, 758, 17607, 6, 16, 4096, 126, 53, 8197, 5, 595, 18145, 9, 997 ]

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

[ 531, 283, 78, 4, 50118, 50118, 133, 2604, 189, 28, 441, 7, 9666, 14, 609, 4, 20, 2604, 25338, 2511, 34, 57, 10, 559, 1037, 6, 19, 5, 315, 532, 5783, 5, 2010, 1080, 900, 223, 8749, 33559, 6, 2749, 5, 1289, 13, 831, 6530, 4, 798, 6, 3030, 7, 1744, 63, 15272, 1542, 15, 5, 3085, 3673, 6, 3946, 8749, 33559, 4, 83, 7932, 1220, 10, 389, 12, 1208, 5064, 6, 53, 5, 588, 724, 197, 28, 2919, 9, 258, 5, 9737, 8, 63, 7184, 6, 31, 15306, 1937, 7, 3881, 23, 559, 14854, 4, 50118, 50118, 133, 471, 9, 5, 2604, 25338, 2511, 6, 11814, 1292, 1738, 39771, 6, 1602, 39, 165, 17, 27, 29, 1282, 11, 103, 911, 44, 48, 560, 9666, 400, 25730, 3663, 227, 5, 1799, 25, 51, 2639, 7, 465, 10, 1149, 30, 1149, 169, 7, 1119, 2123, 8, 912, 5, 2430, 21300, 9, 1476, 4, 1555, 170, 14095, 10, 1233, 4878, 9, 1476, 8, 1197, 2123, 11, 10, 678, 1149, 30, 1149, 1548, 7, 912, 5, 1476, 1174, 31274, 565, 742, 700, 559, 6054, 34, 7, 28, 1146, 1025, 1854, 1555, 23803, 14, 6054, 6, 8, 10201, 24, 7, 5, 632, 672, 6, 52, 40, 172, 3042, 10, 35898, 9, 1476, 4, 17, 46, 50118, 50118, 1711, 761, 9, 2576, 12, 658, 13983, 1351, 6, 1375, 31, 5, 400, 7, 5, 632, 672, 6, 189, 904, 5, 275, 778, 7, 769, 12, 3314, 1580, 5, 786, 12, 28330, 2731, 9, 5, 3085, 18837, 8, 167, 1756, 1572, 1025, 54, 32, 2460, 7, 8654, 6, 2406, 103, 1034, 14, 5, 2604, 165, 15, 5, 1255, 189, 28, 441, 7, 836, 59, 99, 5, 2010, 1080, 34, 98, 444, 1447, 7, 3042, 126, 10, 588, 13983, 4, 1892, 5, 173, 7, 3042, 5, 3085, 5519, 17, 27, 29, 1175, 9, 4593, 8, 1050, 659, 189, 33, 10, 778, 4, 50118, 50118, 17297, 19221, 354, 163, 28828, 16, 10, 2598, 9, 5, 2534, 13, 6275, 9307, 8, 2730, 9, 22513, 5, 5791, 12, 31303, 35856, 35, 83, 15896, 254, 4, 50118, 50118, 713, 6730, 16, 7664, 30, 1944, 27341, 4, 2, 0, 7561, 3063, 2606, 3721, 7561, 2889, 6, 5931, 36, 19542, 491, 158, 43, 126, 3378, 249, 1238, 10, 5968, 4191, 704, 5176, 11, 5, 315, 532, 9, 1150, 154, 10, 920, 19, 10, 7044, 54, 376, 7, 123, 13, 10, 633, 4, 50118, 50118, 41524, 249, 585, 17947, 5345, 1103, 296, 136, 2659, 2869, 2102, 12, 26412, 241, 5079, 9, 391, 852, 4, 50118, 50118, 495, 6391, 5439, 249, 7, 5, 266, 9, 10, 379, 12, 180, 12, 279, 1816, 19, 10, 262, 12, 2151, 12, 279, 920, 54, 115, 9943, 7, 2869, 2102, 12, 26412, 241, 5079, 6, 249, 26, 4, 50118, 50118, 21077, 2102, 12, 26412, 241, 5079, 21, 10, 284, 1441, 9, 5, 1816, 17, 27, 29, 8, 20792, 7, 704, 69, 4191, 165, 23, 5, 1406, 6107, 139, 3902, 13981, 11, 391, 19077, 6, 249, 26, 4, 50118, 50118, 2515, 376, 7, 123, 11, 772, 570, 1996, 13, 10, 633, 1903, 123 ]

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

[ 2382, 3960, 6, 3725, 26, 4, 2978, 9, 1839, 5, 1816, 10, 633, 6, 2869, 2102, 12, 26412, 241, 5079, 56, 2099, 19, 5, 1816, 15, 292, 7657, 6, 1311, 5, 1816, 418, 349, 86, 6, 249, 26, 4, 50118, 50118, 133, 1816, 2435, 9, 69, 6690, 59, 10, 353, 423, 6, 249, 26, 4, 50118, 50118, 21077, 2102, 12, 26412, 241, 5079, 2442, 8420, 11, 3378, 522, 3469, 273, 15, 68, 10569, 6, 151, 4852, 4, 837, 2189, 3147, 117, 1921, 54, 115, 1129, 15, 5, 6124, 4, 50118, 50118, 9292, 503, 174, 3890, 698, 17, 27, 29, 8553, 392, 330, 14, 2869, 2102, 12, 26412, 241, 5079, 6, 10, 4938, 6239, 6, 16, 5176, 1207, 11, 5, 315, 532, 4, 91, 21, 21539, 11, 830, 9, 5155, 2115, 769, 12, 1342, 2961, 5, 315, 532, 8, 17153, 2886, 7, 1625, 53, 23, 103, 477, 71, 769, 12, 1342, 3215, 5, 121, 4, 104, 4, 50118, 50118, 133, 3378, 8938, 8, 14028, 641, 26, 2869, 2102, 12, 26412, 241, 5079, 56, 117, 23114, 19, 5, 1651, 4, 2, 0, 243, 2594, 358, 1136, 4, 83, 869, 28740, 2500, 5, 1310, 6, 817, 10, 380, 310, 50, 2607, 39, 165, 339, 10, 14125, 177, 6, 8, 5, 6981, 1037, 232, 8409, 39, 5237, 25, 10, 1528, 2249, 4403, 11, 5, 1485, 4, 2780, 18, 120, 789, 9, 5, 9158, 328, 96, 3316, 9, 5, 1014, 191, 6, 1485, 4, 175, 2066, 163, 19873, 8072, 18785, 2261, 13, 1233, 3855, 6, 28619, 15, 26198, 874, 4, 2578, 259, 13, 97, 2452, 4, 50118, 50118, 2895, 35570, 5562, 34350, 13, 1014, 35, 17249, 13873, 37831, 50118, 50118, 43965, 37831, 108, 36724, 35, 20, 2499, 10818, 33, 24912, 65, 9, 5, 1485, 18, 299, 16946, 187, 5, 5237, 9, 6088, 8914, 7431, 11, 1466, 4, 4657, 9, 5, 1933, 18, 1282, 64, 28, 9702, 7, 7431, 108, 1460, 7, 3058, 8, 2179, 913, 310, 6040, 11, 5, 2479, 4, 1740, 344, 4, 863, 4, 18989, 7, 8072, 7781, 6, 37, 34, 626, 10, 40609, 633, 9, 562, 6839, 931, 31, 664, 472, 11, 39, 3552, 4, 50118, 50118, 1121, 1125, 6, 5, 10818, 3919, 13873, 37831, 19, 5, 973, 212, 1374, 1339, 9, 5, 2479, 7, 3190, 8782, 1604, 23, 751, 7583, 4, 20, 165, 56, 1904, 7, 836, 13873, 37831, 552, 5764, 6, 53, 37, 2208, 55, 816, 86, 81, 5, 768, 9, 5, 191, 30, 22643, 14816, 2417, 25, 10, 1323, 24535, 4, 91, 1550, 19, 411, 10531, 480, 1256, 3444, 13, 10, 2173, 19, 95, 237, 756, 2012, 4, 50118, 50118, 7608, 37, 40, 1477, 11, 1014, 35, 96, 5, 1485, 6, 2465, 4055, 1119, 198, 5, 11268, 9, 49, 3775, 4, 25138, 35077, 304, 1337, 2465, 18958, 6, 1953, 6, 23492, 293, 8, 8368, 7, 275, 185, 2093, 9, 5, 1736, 8, 6981, 2417, 9, 49, 299, 472, 4, 50118, 50118, 1620, 37, 34, 7646, 1328, 39, 86, 25, 10, 19098, 704, 8, 2465, 6088, 6, 7431, 34, 10, 31326, 13, 562, 4532, 931, 66, 9, 39, 299, 1323, 910, 687 ]

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

[ 10705, 4, 152, 34, 57, 41, 14876, 233, 9, 39, 1282, 25, 10, 2465, 310, 17017, 13, 5, 4465, 7609, 6, 5958, 8991, 6, 3317, 8213, 6, 764, 3402, 8903, 8, 3160, 6446, 4, 18905, 6, 11, 349, 9, 5, 80, 986, 6897, 11, 7431, 108, 4880, 756, 6, 37, 1224, 10, 664, 6, 7714, 1323, 24535, 36, 3609, 11716, 242, 4213, 6103, 260, 11, 764, 3402, 8, 926, 23952, 24539, 11, 3160, 43, 88, 10, 1698, 2616, 12, 29422, 310, 5406, 4, 6903, 6, 37, 1147, 349, 869, 18, 14364, 36, 3609, 7381, 7431, 13, 4213, 6103, 260, 8, 3173, 8153, 13, 24539, 43, 11374, 88, 2375, 310, 6040, 30, 2623, 49, 11268, 15, 5, 1524, 882, 137, 26921, 8141, 106, 15, 4257, 4, 50118, 50118, 1121, 13873, 37831, 6, 5, 10818, 33, 10, 239, 12, 18261, 3543, 24535, 19, 1632, 1323, 12, 29349, 2417, 4, 91, 21317, 29, 23, 1298, 865, 12, 560, 12, 4539, 5217, 9531, 15, 5, 17842, 150, 634, 39, 36596, 10084, 8, 19308, 7, 7859, 5, 2525, 11, 5, 7524, 4, 1216, 17943, 480, 5, 276, 2417, 14, 1147, 123, 555, 5, 1226, 18, 14072, 884, 148, 39, 507, 191, 23, 3882, 480, 156, 123, 10, 8134, 1856, 25, 10, 8034, 4534, 1323, 24535, 4, 50118, 50118, 1779, 38, 356, 23, 5, 7898, 6, 24, 16, 10180, 14, 13873, 37831, 1622, 34, 10, 31326, 13, 562, 7, 5, 2525, 160, 5, 3543, 4, 91, 8612, 4206, 6788, 12, 11432, 14714, 8, 28011, 5, 761, 9, 78, 12, 13975, 41294, 12367, 10266, 303, 11, 1698, 2616, 12, 29422, 1323, 910, 687, 10705, 4, 20, 569, 7200, 1065, 22848, 13873, 37831, 108, 3973, 22, 6460, 160, 113, 8, 10084, 23, 5, 6788, 131, 37, 1622, 19250, 375, 5, 235, 3692, 15, 41, 62, 1399, 6187, 137, 5492, 41, 1365, 14072, 4, 50118, 50118, 43965, 37831, 67, 8612, 5, 1460, 7, 1166, 6, 9046, 8, 25931, 1335, 15, 310, 12, 10845, 3974, 4, 287, 5, 3543, 869, 11, 5, 155, 12, 306, 6, 37, 16, 421, 7, 278, 10, 543, 3543, 23, 5, 477, 9, 908, 7, 489, 8437, 31, 3408, 5, 2797, 15, 751, 1237, 4, 152, 2640, 64, 146, 103, 1323, 910, 687, 10705, 21587, 77, 422, 856, 5556, 32, 9390, 11, 49, 2698, 6, 53, 13873, 37831, 34, 2343, 5, 39054, 8, 4199, 7, 2345, 383, 66, 150, 6666, 5, 2525, 31, 5, 15716, 4, 96, 5, 569, 7200, 874, 6, 13873, 37831, 4543, 13980, 66, 5, 3133, 310, 8, 34416, 10, 14072, 1135, 10, 670, 310, 4486, 30, 4766, 10052, 2525, 2101, 4150, 20469, 66, 9, 10, 10341, 422, 12, 18888, 9285, 4, 1216, 32, 5, 6134, 9, 1974, 2465, 4055, 657, 480, 142, 51, 898, 31, 24467, 8, 4199, 6, 45, 19265, 310, 1521, 4, 50118, 50118, 47849, 6, 13873, 37831, 108, 16476, 1007, 197, 146, 123, 41, 2375, 4876, 223, 7431, 4, 20, 885, 5846, 2465, 32660, 4501, 4532, 1351, 31, 39, 472, 6, 8, 37, 3352, 39, 2249, 6644, 7, 2438, 913, 1974, 1328, 5, 768, 9, 10, 177, 4, 3791, 37 ]

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

[ 21, 1804, 7, 10, 40681, 774, 25, 10, 4534, 6, 13873, 37831, 7899, 5, 761, 9, 786, 12, 8287, 4243, 8, 1011, 4199, 14, 7431, 38676, 1872, 6, 8664, 10531, 160, 9, 1823, 1351, 8, 31624, 10, 670, 8658, 13, 5, 1011, 11, 8747, 4, 6211, 5, 913, 9, 10531, 8, 10476, 11, 5, 1485, 6, 13873, 37831, 108, 3444, 17943, 115, 146, 123, 10, 999, 11, 7431, 108, 1443, 4, 50118, 50118, 30281, 7257, 15, 5, 165, 35, 20, 17837, 9, 13873, 37831, 25, 10, 1698, 2616, 12, 29422, 1323, 24535, 115, 492, 5, 10818, 480, 54, 32, 416, 1687, 1582, 2616, 13372, 480, 10, 738, 7, 339, 316, 426, 8, 2823, 184, 12, 1399, 2093, 1328, 5, 4673, 4, 50118, 50118, 33347, 196, 1014, 12377, 516, 35, 4893, 7955, 6, 158, 4, 245, 10531, 6, 155, 1654, 856, 19229, 8, 112, 11949, 4, 50118, 50118, 24989, 5562, 1644, 268, 7, 3075, 50118, 50118, 47193, 36743, 35, 35879, 8453, 11, 1014, 116, 3394, 40, 339, 5, 10216, 926, 17486, 1454, 3683, 25, 5, 1485, 18, 14072, 884, 11, 1014, 116, 16872, 154, 8453, 344, 4, 863, 4, 18989, 116, 2780, 18, 2625, 328, 50118, 50118, 12375, 40, 339, 5, 10216, 926, 17486, 1454, 3683, 25, 5, 1485, 18, 14072, 884, 11, 1014, 116, 16872, 154, 8453, 116, 2780, 18, 2625, 328, 901, 1666, 50118, 50118, 40468, 4572, 6, 3378, 3846, 35, 4337, 1485, 165, 782, 10, 367, 8134, 1323, 910, 687, 10705, 54, 64, 120, 71, 5, 2525, 4, 4572, 21, 421, 7, 28, 41, 913, 1323, 24535, 13, 5, 3846, 77, 37, 21, 3919, 19, 5, 508, 212, 1374, 1339, 11, 5, 1824, 1485, 10190, 6, 53, 37, 3956, 7, 9160, 7, 5, 15501, 8, 12248, 149, 41, 25927, 9, 1746, 148, 39, 78, 80, 107, 4, 635, 6, 5, 1109, 2551, 7, 283, 15, 13, 4572, 11, 2041, 155, 131, 37, 1550, 19, 195, 4, 245, 10531, 8, 80, 1654, 856, 19229, 150, 18534, 8560, 78, 12, 13975, 2119, 1825, 8, 19308, 4930, 198, 5, 253, 4, 6903, 6, 4572, 23116, 3444, 865, 2417, 8, 1323, 6187, 3136, 150, 16228, 25, 5, 3846, 108, 8034, 1323, 6187, 6857, 4, 6211, 55, 1616, 25, 10, 533, 6135, 11, 41, 4353, 155, 12, 306, 3552, 11, 1014, 6, 4572, 115, 618, 158, 12, 7269, 10531, 13, 5, 78, 86, 11, 39, 756, 4, 50118, 50118, 39146, 5306, 6, 3160, 6446, 35, 20, 6446, 108, 3868, 7, 10, 6415, 132, 3552, 3441, 14, 51, 33, 1769, 6, 7714, 26198, 54, 64, 15544, 22486, 5, 8560, 13888, 16228, 11, 5, 11119, 4, 5306, 16, 5, 40004, 3569, 2290, 7583, 11, 5, 3552, 6, 19, 5, 2078, 8, 25211, 7, 21317, 25, 10, 13965, 12, 560, 12, 24301, 7012, 310, 5406, 4, 616, 10, 367, 1746, 33, 1682, 5306, 31, 18112, 39, 14151, 801, 6, 5, 380, 12, 5785, 2959, 16, 10180, 8378, 37, 2402, 15, 5, 882, 4, 318, 5306, 10117, 2245, 6, 37, 115, 28, 3784, 13, 1698, 2616, 10982, 30, 191, 18, 253, 4, 50118, 50118, 33644, 2253, 811, 1604, 6 ]

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

[ 188, 469, 4608, 35, 20, 4608, 108, 7583, 19006, 34, 4625, 65, 9, 5, 165, 18, 144, 26077, 3953, 5284, 11, 5, 375, 367, 107, 4, 635, 6, 5, 671, 9, 10, 2245, 1604, 115, 836, 103, 2078, 8, 25211, 7, 10, 1933, 14, 34, 13385, 258, 4, 20, 320, 2958, 12, 3431, 2479, 1339, 16, 10, 13965, 12, 560, 12, 24301, 7012, 869, 4453, 9, 11277, 159, 7314, 31, 5, 124, 3730, 50, 11752, 19, 3229, 3587, 50, 11231, 159, 5, 39336, 4, 2223, 1746, 33, 1147, 3000, 5, 1280, 9, 814, 37, 794, 11, 39, 78, 80, 2516, 36, 700, 2039, 411, 426, 11, 1125, 238, 1604, 1819, 28011, 5, 2959, 7, 28, 10, 380, 12, 958, 310, 5406, 11, 5, 4608, 108, 3552, 4, 318, 37, 64, 1877, 5, 1356, 13673, 6, 1604, 115, 244, 6136, 5, 4608, 108, 934, 936, 4, 50118, 50118, 18622, 163, 19873, 8072, 15, 599, 787, 387, 19873, 26519, 17015, 2, 0, 31339, 9, 5, 660, 873, 14455, 661, 2412, 2265, 34612, 27327, 19818, 697, 6, 3529, 6, 173, 8, 13405, 16759, 2368, 4, 50118, 50118, 4688, 18797, 435, 16, 10, 1904, 4860, 435, 1887, 31, 5, 386, 7, 33, 10, 239, 3093, 9, 592, 31657, 8, 29736, 4, 20, 453, 9, 41, 18797, 435, 3700, 946, 10, 1537, 592, 6, 559, 6, 3458, 6, 50, 10663, 3360, 8, 747, 1407, 41, 3626, 6339, 4, 252, 3700, 458, 9582, 8, 1915, 4, 7299, 19774, 337, 1822, 680, 6981, 8195, 6, 48213, 24644, 1822, 6, 11311, 9404, 6, 20508, 1417, 1873, 3443, 6, 6154, 8831, 918, 6, 16759, 293, 6, 7967, 661, 11298, 29, 6, 449, 1452, 4297, 329, 757, 6, 14016, 27809, 6, 8, 2004, 20105, 11649, 4, 188, 453, 9, 41, 18797, 435, 32, 3489, 3919, 30, 5, 435, 18, 2210, 6332, 6, 1195, 87, 30, 588, 12, 29359, 3525, 50, 1212, 2203, 36, 1594, 5, 1212, 16, 45, 2164, 14332, 30, 5, 435, 322, 50118, 50118, 48116, 16307, 646, 17668, 27779, 50118, 50118, 39740, 21519, 646, 17668, 27779, 50118, 50118, 133, 6216, 9, 18797, 1822, 10104, 11, 430, 1822, 4, 252, 189, 680, 3565, 1915, 6, 2351, 284, 12, 13283, 9100, 6, 8, 1207, 20508, 30570, 5068, 28182, 6, 215, 25, 11, 20508, 1417, 1873, 3443, 31274, 438, 12257, 956, 742, 50118, 50118, 48815, 9, 1822, 646, 17668, 27779, 50118, 50118, 6323, 1822, 32, 16413, 150, 643, 33, 10, 10663, 1453, 31274, 438, 12257, 956, 742, 509, 1537, 1524, 6, 1605, 11, 10663, 1822, 6, 16, 20460, 7317, 31274, 438, 12257, 956, 742, 18410, 6, 89, 16, 10, 1056, 15, 42890, 3266, 31274, 438, 12257, 956, 742, 1944, 12049, 32, 11659, 25342, 6, 40226, 434, 6, 8, 1403, 12, 30403, 33065, 31274, 438, 12257, 956, 46386, 438, 12257, 956, 46386, 438, 12257, 956, 742, 50118, 50118, 6323, 1822, 694, 518, 7, 24341, 9883, 4, 1216, 680, 6, 53, 32, 45, 1804, 7, 6, 997, 4498, 6, 5506, 82, 6, 50, 82, 19, 18477, 10866, 31274, 438, 12257, 956, 742, 993, 1822, 4303, 2239, 8, 73, 368, 474, 5228, 31274, 438, 12257, 956 ]

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

[ 742, 1944, 1822, 6, 215, 25, 6719, 1728, 102, 9, 7024, 6, 3719, 6, 904, 10, 1522, 3757, 13, 167, 20966, 9949, 1767, 7, 697, 11, 31274, 438, 12257, 956, 742, 993, 1822, 67, 1760, 25, 10, 4281, 12, 7214, 3757, 7, 19893, 5, 8357, 9, 65, 15343, 5530, 7, 65, 443, 31274, 438, 12257, 956, 742, 1876, 18797, 1822, 2120, 7, 19893, 592, 33235, 6355, 14, 32, 145, 18233, 624, 5, 443, 9, 5238, 31274, 438, 12257, 956, 742, 993, 18797, 1822, 32, 67, 14926, 2839, 1635, 6, 215, 25, 274, 14081, 3355, 2412, 493, 31274, 134, 742, 50118, 50118, 48815, 9, 453, 7903, 646, 17668, 27779, 50118, 50118, 10787, 1822, 33, 430, 3505, 50, 1389, 9, 6332, 31274, 438, 12257, 956, 742, 18410, 6, 18797, 1822, 33, 10, 4230, 609, 61, 2012, 19, 951, 2509, 11, 5, 435, 567, 13, 10, 825, 4, 17482, 12429, 435, 453, 32, 7477, 30, 10, 4230, 1540, 9, 5, 435, 50, 11, 103, 1200, 30, 961, 11, 5, 435, 4, 1876, 1822, 33, 10, 22, 4892, 14675, 337, 6332, 113, 675, 4, 572, 10, 13338, 34, 57, 3903, 6, 10, 92, 919, 16, 22, 4892, 14675, 337, 113, 454, 51, 33, 4711, 13, 103, 675, 36, 34378, 411, 377, 50, 10, 76, 43, 8, 172, 5, 435, 769, 12, 28017, 24597, 49, 6332, 4, 25817, 6, 71, 5, 21571, 919, 34, 57, 3903, 6, 51, 555, 10, 455, 919, 4, 96, 171, 1822, 6, 5, 3434, 24073, 50, 435, 1795, 13, 21571, 453, 32, 540, 87, 167, 13, 455, 453, 31274, 438, 12257, 956, 742, 50118, 50118, 27077, 18797, 1822, 32, 2333, 14092, 9, 167, 6923, 7, 26088, 5, 3464, 9, 5, 13342, 29446, 4, 8630, 5, 30038, 1040, 9, 37219, 36, 463, 6, 747, 6, 5, 6251, 5806, 15, 5, 5455, 43, 25, 10, 1421, 6, 453, 9, 209, 1822, 15407, 13, 10, 7708, 447, 66, 9, 49, 1736, 3975, 11, 10, 2365, 5377, 31274, 176, 742, 1216, 2412, 18797, 1822, 860, 7, 697, 66, 5, 29500, 9, 5, 188, 36209, 8, 1524, 1074, 9, 14736, 8, 13779, 31274, 246, 742, 19818, 215, 25, 5, 21375, 4846, 6, 5, 2265, 34612, 27327, 10975, 306, 742, 8, 18825, 3178, 446, 74, 1136, 88, 42, 4120, 4, 1216, 1822, 6, 1135, 8414, 6332, 8608, 6, 32, 490, 7, 3074, 8, 45, 769, 15871, 11, 5, 169, 14, 1402, 18797, 1822, 32, 31274, 245, 742, 50118, 50118, 250, 2658, 11, 5, 7969, 5403, 9, 5, 22, 38644, 2192, 44366, 1297, 1027, 30, 26514, 13, 7299, 19774, 337, 2573, 36, 597, 2371, 238, 431, 14, 4431, 135, 9, 5, 1822, 8348, 7, 889, 1235, 58, 3826, 6, 971, 135, 58, 4879, 6, 158, 135, 56, 258, 3826, 8, 4879, 3091, 6, 8, 290, 135, 222, 45, 17151, 31274, 401, 742, 50118, 50118, 40118, 9, 7166, 646, 17668, 27779, 50118, 50118, 133, 144, 1537, 1026, 9, 7166, 11, 18797, 1822, 16, 7368, 36, 4027, 135, 238, 19, 2390, 156, 30, 103, 1026, 9, 2899, 568, 12, 5349, 50, 3434, 4, 83, 44816, 50, 19574, 3184, 37138, 361, 135 ]

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

[ 9, 1822, 6, 365, 135, 32, 10, 4069, 9, 7368, 8, 44816, 3184, 6, 8, 545, 135, 109, 45, 17151, 31274, 401, 742, 1876, 1822, 61, 58, 3225, 669, 30, 41, 1736, 50, 650, 333, 33, 1714, 11, 485, 107, 7, 10, 55, 7368, 1026, 9, 7166, 31274, 438, 12257, 956, 742, 50118, 50118, 19224, 67, 646, 17668, 27779, 50118, 50118, 49379, 646, 17668, 27779, 50118, 50118, 37666, 2600, 646, 17668, 27779, 2, 0, 46765, 10, 6583, 25980, 30763, 13, 46211, 36, 463, 55, 13278, 10566, 3385, 291, 550, 570, 870, 8830, 12602, 6801, 11995, 3270, 3385, 291, 550, 570, 16750, 39128, 12602, 6801, 50118, 50118, 46187, 33311, 50118, 50118, 15852, 10, 931, 998, 8, 442, 103, 709, 15, 24, 16, 2128, 1341, 25744, 4740, 4, 370, 269, 240, 7, 216, 99, 47, 32, 608, 137, 3784, 110, 92, 5126, 7, 5, 931, 1082, 4, 280, 16, 596, 47, 269, 240, 7, 33, 10, 1341, 1810, 8576, 9, 3457, 8, 7926, 7, 2097, 47, 7, 1920, 15067, 3260, 50, 573, 743, 6, 50, 3187, 1575, 11, 760, 9, 110, 1434, 4, 50118, 50118, 1121, 754, 6, 5, 31886, 2777, 8, 5, 46211, 7208, 33, 416, 1341, 205, 3270, 7, 244, 47, 7, 109, 42, 4, 1308, 477, 259, 40, 28, 7, 889, 5, 1980, 38, 1381, 8, 14, 38, 303, 5616, 13, 10, 367, 9, 127, 1377, 4, 50118, 50118, 495, 267, 12379, 7545, 25980, 50118, 50118, 133, 9322, 9, 7545, 25980, 16, 7, 1649, 349, 1933, 36, 44565, 43, 9, 5, 2257, 11, 41, 2222, 169, 31, 5, 643, 4, 3283, 7, 7656, 6, 24, 839, 14, 52, 33, 7, 3058, 349, 544, 24, 1639, 8, 7, 1649, 349, 544, 12672, 31, 5, 643, 4, 22381, 6, 52, 2450, 5, 1318, 9, 10, 1296, 10606, 36, 627, 278, 9, 70, 5, 3457, 52, 33, 1982, 43, 30, 14978, 141, 203, 3260, 52, 9390, 23, 513, 683, 77, 878, 5, 1086, 278, 4, 901, 47, 1719, 3260, 6, 55, 110, 2123, 11, 5, 3260, 120, 723, 4, 50118, 50118, 10643, 768, 6, 42, 169, 9, 608, 16, 45, 460, 8894, 12, 13319, 196, 6, 142, 5, 19230, 189, 283, 31, 5, 10405, 9, 518, 4, 125, 6, 23, 513, 6, 24, 2029, 47, 10, 3280, 8608, 9, 1318, 14, 47, 64, 3253, 7, 110, 3260, 4, 50118, 50118, 133, 46211, 7208, 34, 416, 6818, 10, 455, 1933, 3044, 7208, 18913, 31, 5, 31886, 2777, 1495, 4, 318, 47, 416, 2226, 10, 367, 1933, 3044, 11, 31886, 6, 383, 40, 45, 464, 10, 319, 4, 50118, 50118, 10993, 9, 70, 6, 10, 410, 828, 9, 32644, 35, 50118, 50118, 34603, 403, 4832, 20, 15654, 2125, 9, 10, 1296, 10606, 6, 24, 16, 10, 881, 1296, 36, 368, 484, 182, 1122, 3457, 43, 15, 10, 12548, 1905, 9, 110, 2257, 4, 50118, 50118, 34603, 10606, 4832, 83, 278, 9, 1296, 1200, 14, 5741, 7, 1719, 25, 203, 3260, 25, 678, 9, 5, 4776, 2257, 4, 50118, 50118, 34603, 12319, 4832, 2271, 22641, 70, 5, 1414, 14, 32, 3744, 137, 36, 560, 120, 5, 1737 ]

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

[ 1227, 13, 5, 1296, 43, 8, 71, 36, 560, 2382, 5, 1737, 71, 5, 1296, 11, 645, 7, 120, 1227, 13, 5, 220, 65, 43, 5, 1296, 120, 9390, 4, 20, 31886, 7545, 25980, 7208, 486, 5, 5448, 278, 10926, 43048, 137, 349, 1296, 403, 8, 5, 5448, 7366, 17853, 43048, 71, 349, 1296, 403, 4, 50118, 50118, 34603, 7449, 35, 20, 586, 14, 40, 465, 70, 5, 1296, 1200, 1455, 11, 5, 46211, 695, 6, 14, 40, 422, 24, 11, 10, 576, 645, 8, 14, 40, 5555, 5, 775, 8, 2332, 24, 4, 50118, 50118, 16332, 10, 1296, 10606, 16, 1341, 1365, 6, 185, 5, 9749, 9, 110, 46211, 695, 36, 8569, 9629, 4, 17163, 5738, 43, 8, 3116, 10, 1296, 4, 17163, 2870, 25, 1407, 35, 50118, 50118, 7761, 29831, 12379, 4, 21959, 6595, 33536, 2156, 4500, 38834, 1380, 4500, 23345, 4462, 44518, 36, 4500, 38834, 47075, 3816, 278, 10926, 36, 1403, 47075, 1403, 479, 3653, 5457, 33536, 36418, 1403, 479, 3018, 5457, 27913, 479, 8720, 479, 1045, 1215, 12105, 36, 128, 21959, 1215, 12105, 108, 2156, 128, 12105, 1039, 21959, 4, 4135, 108, 2156, 128, 19301, 108, 4839, 1403, 479, 3018, 479, 1871, 36418, 1403, 479, 3653, 479, 27754, 36, 40952, 5457, 128, 21959, 1215, 12105, 108, 2156, 14844, 5457, 128, 19301, 108, 4839, 3816, 7366, 17853, 36, 1403, 47075, 1403, 479, 3018, 479, 17462, 36418, 3816, 1296, 1215, 12376, 4462, 1215, 12105, 1215, 6460, 1215, 8361, 8596, 36, 1403, 47075, 1263, 5457, 1403, 479, 3653, 479, 120, 36, 7213, 36, 48817, 108, 31311, 1407, 5457, 7447, 4839, 1403, 479, 18088, 717, 27702, 36, 1263, 479, 2194, 1215, 20414, 2156, 1878, 4839, 3816, 1296, 1215, 12376, 4462, 1215, 12105, 1215, 6460, 1215, 48419, 36, 1403, 47075, 1263, 5457, 1403, 479, 3653, 479, 120, 36, 7213, 36, 48817, 48419, 73, 108, 31311, 1407, 5457, 7447, 4839, 1403, 479, 18088, 717, 27702, 36, 1263, 479, 2194, 1215, 20414, 2156, 1878, 4839, 50118, 50118, 1121, 5, 986, 1246, 6, 52, 1649, 114, 10, 13959, 3018, 64, 120, 5, 28697, 9, 5, 998, 8, 63, 308, 9629, 4, 20, 15301, 185, 575, 9, 2351, 6, 19980, 8, 6, 172, 6, 36313, 5, 3018, 137, 8, 71, 349, 1296, 4, 50118, 50118, 46891, 15024, 5, 3457, 16, 626, 149, 5, 3616, 4, 17163, 5936, 36, 6968, 189, 1606, 5, 1973, 480, 37644, 39533, 5214, 246, 7, 120, 55, 4195, 3256, 50118, 50118, 1629, 15698, 48630, 397, 1580, 4, 17163, 1296, 28755, 1296, 8503, 13, 29853, 128, 43234, 108, 734, 1437, 46082, 49170, 29483, 44516, 9462, 2248, 3457, 11, 508, 4, 17024, 29, 4954, 27769, 43417, 1296, 8503, 13, 29853, 128, 43234, 108, 734, 50118, 50118, 44798, 8358, 23669, 8218, 2630, 19, 29831, 12379, 12, 6660, 12, 42679, 2630, 50118, 50118, 133, 29831, 12379, 12, 6660, 12, 42679, 2630, 16, 10, 46211, 2502, 2226, 7, 1649, 6885, 114, 5, 1665, 23669, 6052, 32, 8218, 13, 5, 305, 246, 347, 1649, 268, 4, 287, 4505, 6, 8809, 16, 1341, 2007, 149, 35209, 4832, 50118, 50118, 1629, 15698, 35209, 8486, 29831, 12379, 12, 6660, 12, 42679, 2630 ]

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

[ 50118, 50118, 12948, 6, 1606, 5, 511, 7, 110, 9629, 4, 17163, 2870, 35, 50118, 50118, 48085, 39766, 2688, 39261, 1215, 2796, 4546, 34482, 5457, 7447, 50118, 50118, 27728, 14, 6, 30, 6814, 6, 5, 26567, 16, 626, 15, 12, 1902, 149, 10, 2069, 7, 5, 305, 246, 347, 10228, 4, 318, 47, 236, 7, 173, 160, 12, 1902, 36, 368, 109, 45, 236, 7, 37636, 5, 1546, 238, 47, 64, 304, 5, 12907, 23669, 4254, 254, 695, 7, 28754, 8094, 5, 3748, 40347, 4, 2315, 5, 748, 18373, 4, 11978, 2870, 31, 5, 94, 1119, 8, 8486, 42, 2870, 6152, 11, 110, 695, 4, 50118, 50118, 12948, 6, 11, 9629, 4, 17163, 2156, 278, 5, 15594, 23669, 39766, 2688, 39261, 1215, 846, 487, 791, 1215, 863, 2747, 7, 477, 7, 42, 748, 18373, 4, 11978, 2870, 4, 50118, 50118, 48085, 39766, 2688, 39261, 1215, 846, 487, 791, 1215, 863, 2747, 5457, 128, 21594, 10800, 8643, 73, 705, 18373, 4, 11978, 108, 50118, 50118, 12948, 6, 77, 47, 9914, 10, 92, 1296, 403, 6, 5, 129, 631, 47, 240, 16, 7, 6595, 10, 44639, 1295, 47952, 61, 41439, 2230, 101, 10, 4505, 33536, 53, 14, 67, 1649, 5, 23669, 136, 305, 246, 347, 4342, 24072, 4, 85, 16, 1982, 25, 1407, 35, 50118, 50118, 7761, 29831, 12379, 4, 21959, 6595, 4500, 38834, 31, 48445, 42679, 2630, 4, 38557, 6595, 44639, 1295, 47952, 1380, 4254, 48837, 36, 4500, 38834, 47075, 3816, 278, 10926, 36, 1403, 47075, 1403, 479, 3653, 5457, 44639, 1295, 47952, 36418, 3816, 7366, 17853, 36, 1403, 47075, 1323, 3816, 1296, 1215, 46781, 36, 1403, 47075, 1263, 5457, 1403, 479, 3653, 479, 120, 36, 48817, 46781, 73, 108, 4839, 1403, 479, 18088, 717, 27702, 36, 1263, 479, 2194, 1215, 20414, 2156, 1878, 4839, 50118, 50118, 12948, 6, 77, 878, 5, 3457, 19, 48630, 397, 1580, 4, 17163, 1296, 4832, 50118, 50118, 1629, 15698, 48630, 397, 1580, 4, 17163, 1296, 28755, 1296, 8503, 13, 29853, 128, 43234, 108, 734, 39574, 734, 39766, 2688, 6034, 5758, 5061, 30876, 598, 47423, 6, 192, 35, 1589, 48743, 73, 6660, 42679, 2630, 73, 21959, 1215, 46781, 12, 401, 1646, 4, 6660, 1589, 48743, 73, 6660, 42679, 2630, 73, 21959, 1215, 46781, 12, 401, 1646, 4, 46795, 50118, 50118, 2409, 6, 546, 23, 1296, 1215, 46781, 12, 401, 1646, 4, 46795, 924, 35, 50118, 50118, 45621, 30179, 7, 7777, 35, 37943, 35, 2776, 6694, 22, 9773, 113, 450, 53, 41, 7510, 9, 5, 276, 1907, 21, 416, 490, 4, 1740, 516, 6164, 6, 6730, 290, 131, 7, 516, 6164, 6, 6730, 508, 345, 58, 9126, 4, 36, 565, 10382, 11, 5, 2788, 73, 6660, 5745, 1592, 50118, 50118, 4993, 15435, 5, 13673, 6, 5, 3457, 32, 878, 396, 143, 936, 35, 50118, 50118, 1629, 15698, 48630, 397, 1580, 4, 17163, 1296, 28755, 1296, 8503, 13, 29853, 128, 43234, 108, 734, 1437, 46082, 49170, 29483, 44516, 9462, 2248, 3457, 11, 508, 4, 17024, 29, 4954, 27769, 43417, 1296, 8503, 13, 29853, 128, 43234, 108, 734, 50118, 50118, 41555, 1953, 19, 1953, 4, 17163, 50118, 50118, 876, 33943, 4 ]

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

[ 17163, 16, 10, 7208, 2455, 7, 3008, 3260, 1953, 150, 110, 3457, 1200, 32, 3203, 149, 4, 50118, 50118, 49076, 16, 1341, 1365, 35, 50118, 50118, 1629, 15698, 35209, 8486, 1953, 50118, 50118, 49270, 16, 67, 10, 920, 310, 6, 95, 422, 110, 1296, 1542, 19, 5, 511, 5936, 35, 50118, 50118, 1629, 15698, 1953, 422, 480, 17747, 47579, 955, 3616, 4, 17163, 1296, 68, 15698, 1953, 266, 111, 119, 10704, 312, 119, 1872, 4523, 18652, 23632, 23985, 47655, 24965, 127, 1215, 28644, 291, 204, 1812, 207, 2357, 12, 2022, 6, 3191, 127, 1215, 7443, 1215, 48095, 4772, 231, 8572, 207, 601, 12, 1922, 23985, 47655, 24965, 36575, 5553, 158, 8176, 207, 50118, 50118, 2409, 6, 10846, 10, 455, 23669, 266, 7, 39086, 61, 2301, 32, 2913, 8, 61, 32, 202, 7, 28, 2913, 16, 25, 1407, 36, 627, 3457, 531, 33, 57, 2075, 137, 3256, 50118, 50118, 1629, 15698, 1953, 48445, 68, 15698, 668, 31587, 48445, 438, 1417, 73, 18480, 4, 6660, 50118, 50118, 250, 455, 1246, 9, 215, 23669, 266, 64, 28, 450, 15, 42, 1842, 4, 50118, 50118, 2847, 6, 259, 52, 129, 1407, 5, 4631, 9, 5, 3260, 6, 53, 52, 64, 67, 1407, 5, 4631, 9, 5, 38577, 6, 561, 19, 5, 6818, 23669, 8218, 2630, 24, 429, 28, 5616, 7, 216, 114, 52, 2913, 144, 9, 5, 5129, 23669, 50, 45, 4, 96, 754, 6, 5, 1953, 4, 17163, 20686, 34, 10, 29831, 12379, 1215, 876, 33943, 1215, 49391, 20686, 14, 473, 2230, 42, 4, 50118, 50118, 48218, 5, 20686, 35, 50118, 50118, 1629, 15698, 35209, 8486, 29831, 12379, 1215, 876, 33943, 1215, 49391, 50118, 50118, 20763, 5, 511, 2301, 7, 110, 49071, 20401, 1073, 11180, 36, 32845, 65, 114, 47, 109, 45, 33, 65, 3256, 50118, 50118, 10975, 2962, 742, 849, 20, 128, 10519, 808, 108, 516, 429, 28, 10495, 849, 39649, 5457, 7447, 44645, 5457, 29831, 12379, 1215, 876, 33943, 1215, 49391, 50118, 50118, 12948, 6, 422, 5, 1953, 8405, 19, 5, 511, 5936, 516, 35, 50118, 50118, 1629, 15698, 1953, 422, 480, 22393, 21710, 47579, 73, 8361, 73, 12105, 11665, 20401, 1073, 11180, 108, 480, 17747, 47579, 955, 3616, 4, 17163, 1296, 68, 15698, 7766, 1889, 14740, 1215, 45099, 565, 10942, 1215, 45997, 39477, 5214, 4783, 28258, 4, 48419, 1953, 266, 111, 119, 480, 22393, 21710, 47579, 73, 8361, 73, 12105, 11665, 20401, 1073, 11180, 108, 10704, 312, 119, 1872, 4523, 18652, 23632, 29483, 47826, 127, 28258, 73, 30529, 25153, 30529, 4, 17163, 112, 321, 727, 207, 127, 28258, 73, 46119, 4, 17163, 389, 321, 727, 207, 127, 28258, 73, 43457, 4, 17163, 7004, 155, 8971, 207, 1718, 6, 1191, 6, 17445, 127, 28258, 73, 48419, 4, 17163, 2766, 321, 727, 207, 127, 28258, 73, 17950, 40560, 48119, 36617, 1215, 4901, 4, 6660, 389, 132, 8060, 207, 501, 12, 996, 127, 28258, 73, 17950, 40560, 48119, 2917, 254, 4, 6660, 112, 321, 727, 207, 127, 28258, 73, 17950, 40560, 73, 9006, 4, 6660, 4074, 321, 727, 207, 127, 28258, 73, 17950, 40560, 73, 8361, 8596, 4, 6660, 24543, 321, 727, 207, 127, 28258 ]

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

[ 73, 17950, 40560, 73, 11953, 1215, 11070, 4, 6660, 545, 321, 727, 207, 127, 28258, 73, 17950, 40560, 73, 10936, 35608, 1215, 11070, 4, 6660, 290, 132, 3337, 207, 365, 12, 996, 127, 28258, 73, 6423, 29, 4, 17163, 501, 321, 727, 207, 127, 28258, 73, 39281, 4, 17163, 32360, 973, 8403, 207, 21234, 6, 23041, 12, 29185, 127, 28258, 73, 12240, 15696, 4, 17163, 379, 379, 321, 207, 545, 12, 3416, 3616, 4, 17163, 262, 321, 727, 207, 29483, 47826, 36575, 262, 4429, 2929, 8940, 207, 50118, 50118, 35703, 1174, 50118, 50118, 170, 300, 402, 1341, 1498, 6, 52, 32, 441, 7, 422, 1933, 1296, 1200, 15, 5, 1086, 695, 4, 1296, 13, 305, 246, 347, 6265, 9, 5, 5129, 23669, 6773, 8, 33, 10, 1953, 266, 9, 70, 209, 3457, 81, 31886, 6773, 8, 38577, 4, 50118, 50118, 100, 222, 45, 1649, 13, 97, 3748, 7208, 87, 46211, 6, 53, 38, 679, 42, 65, 25, 416, 1341, 3319, 4, 653, 115, 28, 2782, 16, 14, 144, 9, 5, 24151, 1575, 283, 31, 6731, 709, 8, 32, 45, 1950, 6818, 11, 5, 46211, 7208, 4, 85, 74, 28, 1931, 21612, 352, 2579, 7, 33, 24, 31, 12272, 11, 5, 46211, 1542, 18146, 4, 2, 0, 13354, 2988, 9, 249, 7, 2883, 10, 4692, 803, 88, 5, 4482, 744, 9, 7929, 2376, 254, 8706, 2962, 5186, 38574, 625, 25601, 23, 5, 865, 9, 10, 3142, 20976, 40, 45, 483, 7, 13999, 1103, 6, 19, 7088, 18, 1475, 12, 17897, 10707, 33128, 7, 185, 461, 814, 136, 143, 9, 5, 1024, 963, 4, 50118, 50118, 41514, 8, 40135, 26593, 7236, 1896, 11749, 24469, 260, 24703, 40, 452, 4659, 37, 16, 3276, 7, 1539, 10, 568, 30, 5, 7088, 522, 1841, 7, 10363, 5, 10707, 18, 6492, 13, 13999, 814, 136, 411, 1024, 963, 11, 5, 122, 36809, 4941, 4, 50118, 50118, 133, 568, 9, 249, 4269, 4589, 15508, 11861, 1187, 268, 7, 10363, 5, 230, 6018, 18, 4664, 8, 1386, 465, 14, 5, 1024, 652, 129, 22, 37096, 2617, 3824, 113, 16, 6238, 7, 33, 1412, 10, 1030, 30640, 14, 17410, 10, 461, 2868, 4, 50118, 50118, 25439, 4130, 50118, 50118, 133, 230, 6018, 64, 2639, 7, 16164, 5, 568, 129, 114, 24, 16, 11, 5, 4828, 249, 13999, 609, 4, 50118, 50118, 41044, 26203, 3969, 94, 363, 373, 13, 41, 2222, 1551, 9, 5, 249, 13999, 609, 11, 7088, 4, 50118, 50118, 113, 133, 249, 4496, 467, 34, 3187, 159, 60, 2059, 1080, 9, 5280, 23362, 394, 6840, 384, 108, 534, 16803, 26, 4, 50118, 50118, 113, 133, 240, 16, 22249, 3786, 30, 5, 754, 14, 24, 34, 551, 411, 107, 8, 202, 24, 16, 29909, 25, 7, 549, 5, 4215, 9, 427, 38574, 625, 25601, 18, 744, 21, 5083, 6807, 72, 50118, 50118, 10980, 11749, 24469, 260, 94, 76, 2449, 1103, 74, 28, 1658, 2024, 11, 7088, 18, 5280, 8, 25233, 21839, 136, 5, 411, 1024, 114, 37, 21, 36010, 2550, 19, 5, 1263, 9, 522, 4589, 3045, 22553, 7, 10, 230, 6018, 266, 88, 5, 1183, 3138, 744, 4, 50118 ]

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

[ 50118, 133, 28710, 266, 13314, 5, 4139, 9, 4269, 331, 2812, 9604, 10248, 230, 24041, 11, 26963, 5, 2557, 803, 25, 12622, 22, 9981, 24470, 6, 7626, 9866, 8, 5201, 845, 50118, 50118, 133, 230, 6018, 26, 427, 22553, 956, 7, 185, 2640, 13, 10, 22, 7215, 3985, 2088, 2040, 113, 14, 669, 7, 5, 22, 12778, 9997, 17107, 113, 38574, 625, 25601, 803, 6, 8, 484, 97, 239, 12, 7221, 6046, 1200, 4, 50118, 50118, 243, 5131, 237, 1024, 480, 54, 669, 5, 803, 480, 652, 13999, 814, 13, 1697, 6046, 6, 19, 5, 80, 949, 1024, 480, 865, 29827, 30, 427, 22553, 7, 1551, 5, 2557, 803, 480, 67, 652, 13999, 814, 4, 50118, 50118, 4993, 10, 651, 9, 461, 2019, 59, 5, 266, 6, 2135, 11861, 1187, 268, 431, 7, 5, 230, 6018, 11, 644, 19695, 5, 13999, 4664, 8, 2609, 14, 5, 1024, 197, 129, 1325, 22, 37096, 2617, 3824, 845, 50118, 50118, 1711, 568, 1395, 28, 6835, 4, 50118, 50118, 495, 11691, 625, 25601, 18, 4153, 744, 6, 624, 41, 1946, 9, 145, 1128, 13, 285, 26575, 30, 7929, 2376, 249, 3504, 3596, 19609, 1573, 8657, 607, 6, 6246, 21224, 148, 61, 5, 249, 1992, 21529, 5, 22172, 435, 160, 22155, 1352, 21, 18698, 159, 4, 19609, 8657, 607, 21, 17871, 11, 3010, 9, 38574, 625, 25601, 18, 14936, 4, 2, 0, 20981, 661, 9, 6130, 255, 13001, 50118, 50118, 46243, 44486, 6, 23660, 205, 50118, 50118, 47936, 4210, 545, 36, 25270, 29828, 43, 50118, 50118, 1549, 36, 25270, 29828, 43, 15225, 19378, 5663, 36, 698, 417, 398, 2055, 843, 43, 50118, 50118, 4531, 36, 698, 417, 398, 2055, 843, 43, 15707, 843, 16935, 4, 50118, 50118, 30549, 5885, 1000, 8748, 30497, 305, 1729, 3858, 250, 504, 16998, 306, 43, 545, 16998, 246, 43, 504, 16998, 306, 43, 508, 16998, 134, 43, 504, 16998, 306, 43, 545, 16998, 246, 43, 50118, 50118, 104, 13286, 2032, 13415, 15676, 2055, 398, 50118, 50118, 771, 354, 2055, 398, 25855, 28209, 2055, 398, 6, 45679, 2055, 1092, 6, 42322, 2055, 406, 50118, 50118, 1121, 32764, 2055, 398, 6, 45679, 2055, 1092, 6, 42322, 2055, 406, 33571, 43184, 5332, 10395, 6, 2569, 6, 668, 6, 14489, 6, 4775, 131, 3089, 1906, 45969, 6, 38105, 6, 8, 24682, 31, 786, 16266, 3569, 1912, 50118, 50118, 37432, 6, 2569, 6, 668, 6, 14489, 6, 4775, 131, 3089, 1906, 45969, 6, 38105, 6, 8, 24682, 31, 786, 16266, 3569, 1912, 33571, 29054, 2192, 42179, 12179, 636, 6, 17712, 6, 35787, 50118, 50118, 26371, 12179, 636, 6, 17712, 6, 35787, 35140, 29054, 2192, 16224, 4567, 6, 30567, 6, 26851, 6, 27041, 6, 16292, 50118, 50118, 24262, 4567, 6, 30567, 6, 26851, 6, 27041, 6, 16292, 208, 21526, 2933, 14675, 1191, 16935, 482, 18718, 45679, 820, 50118, 50118, 30423, 14675, 1191, 16935, 482, 18718, 45679, 820, 44166, 9732, 6, 44902, 50118, 50118, 40437, 6, 44902, 10045, 290, 36, 246, 6, 7784, 30065, 43, 50118, 50118, 717, 38537, 31833, 4, 255, 13001, 64, 192, 1191, 1730, 88, 5, 364, 38537, 3286, 77, 24, 16, 15, 5, 26188, 42071 ]

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

[ 6, 8, 2626, 28550, 4, 50118, 50118, 725, 3463, 13319, 4, 255, 13001, 64, 75, 28, 2132, 30, 20154, 50, 3038, 14, 1002, 129, 65, 20397, 3867, 24, 8605, 7, 28, 4, 50118, 50118, 35877, 28054, 4, 255, 13001, 17, 27, 29, 4876, 1912, 32, 13867, 4, 50118, 50118, 250, 16849, 50118, 50118, 46064, 20505, 4, 255, 13001, 817, 80, 372, 47949, 1912, 8, 172, 2939, 47982, 6896, 4, 50118, 50118, 717, 38537, 1825, 4, 255, 13001, 13328, 5, 364, 38537, 3286, 31, 5, 1468, 3286, 6, 50, 2626, 28550, 4, 85, 16, 7097, 15, 5, 1468, 3286, 150, 24, 16, 11, 5, 1424, 364, 38537, 6, 8, 2626, 28550, 6, 648, 24, 64, 17, 27, 90, 3327, 50, 28, 2132, 30, 932, 15, 5, 97, 3286, 4, 50118, 50118, 19065, 47949, 4, 48261, 39813, 23800, 35, 2055, 398, 7, 478, 6, 1338, 195, 16935, 482, 65, 1002, 4, 15225, 35, 365, 36, 176, 417, 401, 2055, 204, 43, 24682, 1880, 4, 50118, 50118, 38182, 5806, 6896, 4, 660, 20285, 636, 1955, 2092, 220, 7, 255, 13001, 8, 1239, 65, 814, 4, 50118, 50118, 133, 20285, 34, 5, 276, 13076, 25, 10, 7439, 102, 36, 43818, 35597, 181, 4, 1549, 43, 53, 34, 10, 42026, 2772, 8, 630, 75, 1067, 50, 10754, 19, 143, 20397, 4, 85, 2982, 5776, 2726, 1320, 71, 602, 63, 814, 4, 2, 0, 9157, 41092, 83, 11775, 1683, 9, 1207, 11, 911, 9, 723, 308, 12, 13839, 7289, 16522, 21, 1455, 13, 1537, 2536, 12876, 13, 103, 5688, 1134, 4, 1806, 1207, 11, 911, 9, 723, 308, 12, 13839, 16522, 189, 266, 2782, 592, 323, 8, 540, 6886, 6, 53, 209, 14697, 222, 45, 1950, 1316, 13, 16522, 3038, 4, 50118, 50118, 41981, 2223, 5, 144, 35526, 3435, 19790, 911, 58, 67, 5, 19125, 6, 13, 349, 158, 3164, 477, 712, 11, 308, 12, 13839, 7289, 16522, 6, 89, 21, 1283, 9, 10, 8065, 810, 9, 1537, 2536, 12876, 6, 13, 5, 455, 7289, 5688, 7728, 36, 13533, 29, 1750, 321, 4, 6405, 36, 4015, 207, 2123, 22455, 321, 4, 5046, 7, 321, 4, 2831, 4397, 221, 5214, 288, 4, 4197, 6, 2904, 238, 13, 5, 3445, 333, 36, 13533, 29, 1750, 321, 4, 2146, 36, 288, 4, 4124, 7, 321, 4, 5243, 4397, 221, 5214, 288, 4, 2663, 6, 2904, 238, 8, 13, 5, 33371, 4216, 3592, 333, 36, 13533, 29, 1750, 321, 4, 2545, 36, 288, 4, 5379, 7, 321, 4, 6468, 4397, 221, 5214, 288, 4, 31866, 6, 2904, 238, 71, 18624, 13, 10, 2052, 118, 7856, 9834, 268, 4, 286, 103, 1134, 6, 1207, 11, 911, 9, 723, 308, 12, 13839, 16522, 21, 3059, 19, 10, 4878, 11, 5, 2207, 9, 6886, 8, 19, 2782, 592, 323, 8, 2782, 592, 4836, 4, 635, 6, 4146, 9, 209, 2433, 43219, 7289, 16522, 3038, 4, 50118, 50118, 46674, 3699, 598, 3094, 114, 1207, 11, 911, 147, 723, 27311, 9, 82, 9, 5, 276, 23848, 23773, 16, 11775, 13, 1537, 2536, 12876, 6, 8, 3059, 19, 10, 2906, 4895, 7, 6886, 8, 2782, 592, 323, 4 ]

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

[ 3347, 6, 7, 3094, 114, 143, 11775, 7289, 16522, 3038, 32, 43219, 30, 2906, 4895, 7, 8222, 8, 2782, 592, 323, 4, 50118, 50118, 170, 2964, 10, 3228, 12, 4483, 1966, 9, 2116, 2810, 337, 2658, 414, 7, 1100, 549, 1207, 11, 911, 9, 723, 308, 12, 13839, 16522, 74, 28, 3059, 19, 10, 2906, 810, 9, 1537, 2536, 12876, 6, 71, 18624, 13, 10, 346, 9, 10, 2052, 118, 7856, 9834, 268, 4, 1216, 3038, 58, 10543, 13, 292, 9, 5, 1049, 7289, 5688, 1134, 1207, 11, 1156, 578, 38100, 6, 909, 7599, 6, 1362, 6, 9246, 6, 8, 33371, 4216, 3592, 82, 578, 281, 157, 25, 10, 1104, 1089, 333, 4, 166, 45962, 1720, 14, 5, 5995, 9, 2207, 6886, 74, 2991, 19, 2227, 308, 12, 13839, 7289, 16522, 6, 8, 14, 5, 5995, 9, 2207, 2782, 592, 323, 8, 55, 4935, 592, 4836, 74, 712, 19, 2284, 308, 12, 13839, 7289, 16522, 4, 3347, 52, 11852, 549, 6886, 6, 2782, 592, 323, 6, 8, 55, 4935, 592, 4836, 429, 5679, 10599, 143, 6373, 7289, 16522, 3038, 4, 50118, 50118, 970, 16, 10, 263, 16880, 9, 557, 88, 2433, 14, 429, 1316, 13, 15958, 1162, 9, 1537, 2536, 12876, 566, 7289, 5688, 1134, 1207, 11, 1444, 4, 23570, 19, 1104, 1089, 82, 6, 5, 21087, 9, 1537, 2536, 12876, 189, 28, 2906, 566, 33371, 4216, 3592, 82, 6, 1130, 566, 3445, 82, 6, 8, 1122, 566, 909, 7599, 6, 9246, 6, 8, 1362, 82, 4, 112, 20, 7289, 16522, 31098, 3649, 14, 1207, 11, 911, 9, 723, 308, 12, 13839, 16522, 189, 28, 11775, 13, 2536, 474, 4, 132, 155, 34278, 7289, 16522, 3038, 189, 4303, 149, 10, 27793, 2961, 1683, 13, 1196, 1207, 11, 239, 308, 12, 13839, 7289, 16522, 911, 149, 2782, 592, 323, 8, 592, 4836, 6, 50, 30, 4881, 5, 13135, 9, 12661, 3734, 215, 25, 8222, 4, 204, 195, 231, 635, 6, 40150, 557, 15, 209, 14519, 1189, 26583, 4, 50118, 50118, 20319, 9, 209, 1274, 56, 7, 28, 1145, 13, 25646, 7, 28, 1687, 1455, 4, 379, 166, 67, 7869, 13, 11324, 227, 349, 18422, 1295, 15594, 8, 349, 7289, 16522, 15594, 4, 545, 50118, 50118, 306, 4, 20, 1683, 9, 7289, 16522, 15, 1537, 2536, 12876, 21, 11852, 71, 5, 1285, 9, 349, 9, 5, 18422, 3629, 8, 172, 70, 9, 5, 18422, 3629, 355, 561, 6, 7, 1649, 13, 10, 25965, 17652, 1580, 11, 5, 5259, 4, 50118, 50118, 3972, 1316, 13, 18592, 12, 3998, 10504, 22792, 6, 8, 7, 3155, 5, 26471, 9, 37832, 23, 258, 443, 672, 8, 1736, 672, 6, 52, 3744, 10, 3228, 12, 4483, 1966, 9, 542, 4301, 196, 414, 6, 19, 5, 1692, 10490, 2422, 4195, 443, 17966, 25, 5, 32389, 15594, 8, 2172, 46902, 624, 209, 911, 4, 1596, 12, 4483, 3228, 12, 4483, 3092, 19, 9624, 20359, 29, 8, 4460, 3038, 13, 349, 42131, 15594, 58, 17966, 4, 4028, 1421, 9159, 14, 1537, 2536, 12876, 14903, 30, 12258, 6, 8, 5, 3092, 58, 422, 12712, 13, 349, 7289, 5688, 333, 4, 50118, 50118, 3684 ]

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

[ 20070, 58, 3744, 11, 4062, 25912, 158, 4, 501, 8927, 6, 592, 1380, 6, 5984, 672, 6, 2099, 6, 30615, 2194, 6, 8, 443, 12, 4483, 31322, 58, 24305, 25, 10, 2052, 118, 7856, 9834, 268, 4, 3870, 26892, 8222, 6, 592, 323, 6, 8, 592, 4836, 58, 24305, 25, 801, 18422, 3629, 11, 5, 5259, 227, 7289, 16522, 8, 1537, 2536, 12876, 4, 286, 20070, 45, 3329, 443, 12, 4483, 1797, 6, 414, 58, 19099, 8, 362, 88, 1316, 2658, 3184, 6, 8, 52, 341, 5, 1521, 716, 15371, 1296, 7, 7118, 5, 2707, 9, 14697, 4, 50118, 50118, 250, 16697, 29548, 20862, 3944, 6, 5, 5154, 1194, 3078, 12, 241, 25376, 36, 347, 1729, 12, 500, 43, 21, 341, 7, 7118, 1537, 2536, 12876, 36, 260, 43537, 8, 6943, 322, 508, 24685, 14929, 1142, 1056, 15, 5298, 2984, 11, 5, 986, 353, 6, 19, 55, 4271, 1142, 1996, 59, 5, 986, 186, 4, 166, 1687, 1537, 2536, 8364, 7, 28, 1455, 114, 5, 33574, 12, 500, 746, 1471, 21, 8061, 1225, 4, 508, 50118, 50118, 565, 10092, 13, 2904, 8, 5824, 31, 26956, 2904, 58, 3744, 19, 11801, 1750, 3457, 4, 166, 12544, 5, 18072, 27890, 25, 1602, 1065, 9, 5, 7289, 16522, 25083, 77, 17325, 3457, 222, 45, 3608, 10, 15196, 26956, 1291, 227, 7289, 16522, 8, 10597, 15594, 4, 520, 3457, 13, 2904, 50, 5824, 31, 26956, 2904, 2528, 14, 5, 1291, 9, 7289, 16522, 19, 4258, 25083, 21, 26956, 6, 52, 6408, 5, 1461, 16522, 15594, 30, 158, 98, 14, 52, 115, 3278, 5, 5259, 19, 1537, 2536, 12876, 13, 358, 158, 3164, 477, 712, 11, 308, 12, 13839, 16522, 4, 50118, 50118, 3972, 3094, 847, 332, 6, 52, 10543, 5, 746, 1186, 13, 349, 7289, 16522, 15594, 8, 6408, 24, 88, 3871, 22523, 29, 552, 63, 20104, 3189, 4, 20, 44, 48, 45041, 6496, 17, 46, 355, 7, 349, 15594, 4596, 11, 16522, 16296, 61, 58, 23, 498, 540, 87, 321, 36, 1990, 1246, 6, 13, 5, 33371, 4216, 3592, 333, 5, 41474, 1186, 21, 31, 42736, 134, 4, 5677, 207, 7, 5659, 4, 4283, 23528, 590, 42, 1548, 6, 5, 41474, 847, 332, 13, 349, 9, 5, 7289, 16522, 25083, 58, 35, 33371, 4216, 3592, 501, 4234, 389, 4234, 4059, 31558, 909, 7599, 195, 4234, 365, 4234, 504, 207, 36, 9435, 42736, 134, 4, 5449, 207, 7, 706, 4, 3546, 45973, 1362, 379, 4234, 2357, 4234, 4074, 207, 36, 9435, 35, 42736, 176, 4, 5339, 207, 7, 5595, 4, 4540, 45973, 9246, 545, 4234, 1718, 4234, 4268, 207, 36, 9435, 42736, 246, 4, 3570, 207, 7, 4801, 4, 844, 23528, 286, 3445, 7289, 16522, 36, 9435, 42736, 288, 4, 3103, 207, 7, 501, 4, 1570, 8871, 8, 1104, 1089, 1956, 16522, 36, 9435, 262, 4, 2022, 207, 7, 13674, 4, 1978, 20186, 5, 5004, 1313, 8, 2430, 36292, 9, 5, 80, 26070, 4067, 6, 669, 201, 7, 185, 10, 26794, 1548, 23920, 52, 341, 847, 332, 23, 112, 4234, 132, 4234, 8, 195, 207, 13, 3445, 7289, 16522, 8, 23, 3337, 4234, 1814, 4234, 8 ]

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

[ 6164, 207, 13, 1104, 1089, 1956, 16522, 4, 50118, 50118, 170, 341, 5, 4648, 9, 16210, 6748, 1069, 19914, 31, 3788, 6, 11, 1998, 29, 6, 25, 10, 2450, 9, 443, 12, 4483, 31322, 6, 9184, 7, 6253, 16024, 672, 4, 316, 42652, 16522, 21, 6533, 25, 5, 3164, 9, 7289, 5688, 82, 1207, 624, 349, 6253, 16024, 8, 21, 12359, 30, 5, 496, 2521, 13, 3574, 1624, 25, 10, 11152, 15594, 19, 44, 48, 45041, 6496, 17, 46, 355, 228, 403, 6, 11, 645, 7, 1744, 25643, 9, 10011, 4, 152, 2425, 14, 5, 22792, 227, 5, 1528, 7289, 16522, 923, 8, 5, 3266, 1286, 58, 321, 4, 35795, 4, 50118, 50118, 3684, 443, 672, 1797, 58, 1286, 30, 5, 496, 2521, 13, 3574, 1624, 8, 9184, 7, 44563, 1720, 16076, 2189, 4, 96, 645, 7, 1744, 5, 25643, 9, 10011, 6, 5, 3912, 20456, 443, 23, 61, 1797, 58, 577, 21, 23, 5, 672, 9, 1692, 10490, 2422, 4195, 443, 36, 6222, 16024, 322, 365, 5598, 911, 33, 10, 3527, 1956, 9, 23221, 6, 8, 10, 1266, 1956, 9, 59, 262, 2619, 82, 4, 365, 50118, 50118, 9058, 1797, 31, 5, 10041, 18404, 17, 27, 29, 15680, 45349, 58, 341, 7, 7118, 592, 323, 4, 158, 16533, 4189, 58, 67, 553, 7, 266, 141, 171, 82, 51, 1299, 593, 7, 6, 8, 58, 553, 7, 22159, 5, 621, 54, 51, 1299, 8099, 7, 4, 158, 16533, 4189, 58, 553, 7, 731, 141, 444, 49, 7076, 8099, 621, 1286, 106, 19, 7708, 323, 8, 7856, 8231, 50, 3722, 323, 4, 158, 50118, 50118, 44036, 2832, 4189, 58, 553, 59, 143, 3734, 9, 7637, 716, 6886, 35, 44, 48, 17781, 47, 2512, 655, 57, 3179, 10, 633, 13, 2188, 61, 47, 206, 58, 7, 109, 19, 110, 1015, 6, 7705, 6, 50, 3458, 50, 7289, 3618, 116, 17, 46, 8, 44, 48, 17781, 47, 2512, 655, 57, 3032, 19106, 23, 173, 19, 6203, 7, 6174, 50, 10, 517, 7, 10, 357, 737, 13, 2188, 61, 47, 206, 58, 7, 109, 19, 110, 3458, 50, 7289, 3618, 36, 100, 218, 17, 27, 90, 1266, 77, 9889, 13, 10, 92, 633, 26610, 17, 46, 50118, 50118, 3684, 10011, 58, 553, 114, 6, 624, 5, 375, 316, 377, 6, 51, 56, 57, 7217, 4487, 50, 56, 2984, 14775, 1880, 7, 1038, 61, 14574, 7, 106, 4, 318, 51, 2334, 11, 5, 33003, 6, 51, 58, 553, 35, 44, 48, 8275, 47, 206, 47, 58, 4487, 13, 2188, 7, 109, 19, 110, 23848, 116, 17, 46, 50, 44, 48, 8275, 47, 206, 143, 9, 209, 1912, 15, 110, 1038, 58, 13, 2188, 7, 109, 19, 110, 23848, 116, 17, 46, 16533, 4189, 58, 67, 553, 35, 44, 48, 1121, 5, 94, 316, 377, 6, 34, 1268, 32149, 47, 13, 2188, 7, 109, 19, 110, 23848, 116, 870, 32149, 6, 38, 1266, 27054, 9441, 6, 3711, 6, 50, 57, 10, 26575, 7, 47, 116, 17, 46, 50118, 50118, 42301, 12979, 1571, 13, 70, 82, 6, 4682, 13, 3445, 10011, 6, 21, 6533, 309, 7, 1403, 266, 8608 ]

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

[ 25, 341, 11, 986, 987, 26489, 9764, 4, 361, 3445, 23848, 21, 3030, 309, 7, 247, 9, 1041, 17, 27, 3113, 4, 262, 3574, 1380, 21, 3030, 309, 7, 5, 35869, 1292, 17, 27, 29, 3574, 4210, 6, 8, 21, 8967, 88, 38, 73, 11194, 36, 23878, 50, 27424, 4397, 6395, 36, 34172, 786, 12, 397, 5564, 50, 11086, 12769, 4397, 10831, 36, 1090, 5408, 12, 34172, 12769, 4397, 468, 36, 879, 34172, 12769, 4397, 455, 86, 1294, 50, 393, 1006, 4, 16533, 4189, 58, 553, 59, 49, 1609, 5984, 15496, 6, 209, 58, 8967, 88, 237, 1134, 35, 723, 1265, 36, 5743, 50, 6305, 238, 5929, 36, 250, 672, 6, 18397, 3388, 6, 50, 6305, 238, 1093, 18952, 6, 50, 4146, 4, 16533, 4189, 58, 67, 553, 49, 1046, 6, 2099, 6, 8, 30615, 2194, 36, 179, 237, 1134, 35, 2997, 50, 1029, 13899, 2838, 6, 18264, 50, 8254, 6, 23772, 9725, 6, 8, 881, 50, 393, 2997, 322, 50118, 50118, 44523, 4075, 5533, 58, 2964, 11, 2172, 17, 27, 1611, 6, 19, 10, 5389, 4477, 33242, 9184, 11263, 678, 7, 5, 33802, 17, 27, 29, 2099, 4, 262, 520, 2658, 10011, 115, 45, 1498, 5, 1194, 11, 2370, 41, 33242, 54, 21, 34574, 11, 49, 985, 15686, 21, 1286, 4, 262, 39822, 2459, 58, 16877, 88, 19840, 6, 44331, 3648, 6, 30244, 3644, 6, 14687, 267, 10810, 6, 8, 9163, 6588, 30, 10, 2038, 28573, 544, 4, 262, 50118, 50118, 170, 341, 39974, 3092, 716, 15, 414, 31, 5, 1309, 11624, 13, 1156, 7, 34882, 786, 12, 41510, 23341, 4, 290, 4820, 2802, 678, 6, 52, 33, 12544, 209, 2658, 23341, 13, 786, 12, 41510, 11, 84, 20070, 6, 25, 157, 25, 143, 23341, 7, 1316, 13, 28900, 43471, 9, 4230, 11, 5, 1461, 12092, 4, 290, 7029, 1254, 15, 5, 2658, 32, 577, 11, 5, 1049, 266, 4, 262, 290, 50118, 50118, 10643, 5, 7417, 466, 2172, 54, 362, 233, 11, 5, 1461, 12092, 8, 58, 5590, 13, 1407, 12, 658, 1194, 11, 3788, 6, 262, 3170, 36, 698, 4, 245, 8871, 56, 962, 6, 58, 2530, 87, 3337, 107, 6, 50, 56, 1410, 66, 9, 5, 2658, 443, 4, 290, 1525, 5, 231, 32145, 10011, 31, 5, 1461, 2658, 54, 58, 4973, 13, 769, 12, 8007, 5877, 6, 501, 5352, 36, 1922, 8871, 3179, 8, 195, 1360, 36, 398, 8871, 115, 45, 28, 5590, 4, 290, 152, 4596, 11, 204, 32071, 4824, 5533, 36, 4671, 4, 176, 207, 9, 167, 4973, 13, 769, 12, 8007, 5877, 238, 61, 13822, 5, 41616, 13, 84, 1455, 1966, 4, 290, 50118, 50118, 2709, 42, 1966, 6, 52, 341, 414, 31, 5, 42652, 21315, 2192, 43254, 12285, 1825, 31850, 11, 5, 2573, 11624, 36, 42257, 5216, 2371, 238, 10, 2116, 2810, 337, 6, 9852, 4915, 2658, 9, 3362, 36, 4628, 545, 2383, 5243, 43, 15050, 11, 1156, 11, 3788, 4, 262, 20, 2658, 21, 10, 1407, 12, 658, 9, 80, 4915, 6, 435, 716, 12092, 2964, 11, 1156, 36, 627, 1309, 11624, 13, 1156, 6708, 8, 6193, 322, 290, 166, 6183, 58 ]

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

[ 341, 11, 5, 1309, 11624, 13, 1156, 6193, 7, 1316, 13, 5, 28900, 18102, 9, 4230, 578, 1409, 618, 20414, 1293, 6, 13, 8195, 624, 4723, 6, 8, 13, 5, 4230, 9, 3362, 31, 624, 8195, 4, 290, 50118, 50118, 1779, 349, 9, 5, 25083, 13, 40226, 8222, 6, 592, 323, 6, 8, 592, 4836, 58, 15529, 355, 88, 507, 3092, 8, 172, 355, 11, 561, 6, 4146, 9, 5, 3038, 13, 7289, 16522, 15, 1537, 2536, 12876, 810, 58, 45497, 14133, 6, 5542, 14, 209, 25083, 58, 45, 15, 5, 41214, 19165, 227, 7289, 16522, 8, 1537, 2536, 12876, 36, 21818, 155, 11, 2103, 155, 48850, 3602, 8, 3748, 1823, 9248, 322, 345, 58, 117, 11324, 1581, 227, 143, 9, 5, 18422, 1295, 25083, 8, 308, 12, 13839, 7289, 16522, 4, 50118, 50118, 42945, 70, 9, 5, 1134, 4682, 5, 909, 7599, 333, 6, 349, 21477, 1848, 712, 11, 443, 12, 4483, 31322, 21, 3059, 19, 41, 1130, 5995, 9, 1537, 2536, 12876, 36, 7048, 3748, 1823, 9248, 322, 1578, 6, 420, 70, 9, 5, 1134, 6, 3734, 9, 8222, 8, 6886, 58, 3059, 19, 10, 3667, 80, 12851, 712, 11, 1537, 2536, 12876, 36, 7048, 3748, 1823, 9248, 322, 50118, 50118, 4993, 18624, 13, 70, 10, 2052, 118, 7856, 9834, 268, 6, 89, 21, 1283, 9, 41, 5259, 227, 10, 158, 3164, 477, 712, 11, 308, 12, 13839, 16522, 8, 2906, 810, 9, 1537, 2536, 12876, 13, 70, 7289, 5688, 1134, 2771, 36, 13533, 29, 1750, 321, 4, 6405, 36, 4015, 207, 2123, 22455, 321, 4, 5046, 7, 321, 4, 2831, 4397, 221, 5214, 288, 4, 4197, 238, 13, 33371, 4216, 3592, 82, 36, 13533, 29, 1750, 321, 4, 2545, 36, 288, 4, 5379, 7, 321, 4, 6468, 4397, 221, 5214, 288, 4, 31866, 238, 8, 13, 3445, 82, 36, 13533, 29, 1750, 321, 4, 2146, 36, 288, 4, 4124, 7, 321, 4, 5243, 4397, 221, 5214, 288, 4, 2663, 43, 36, 7048, 3748, 1823, 9248, 112, 6, 155, 6, 8, 195, 322, 286, 70, 9, 5, 97, 1134, 4682, 5, 1104, 1089, 333, 6, 89, 2551, 7, 28, 10, 11775, 1683, 9, 1207, 11, 911, 9, 723, 308, 12, 13839, 16522, 6, 53, 5, 1283, 21, 182, 3953, 4, 50118, 50118, 41836, 155, 48850, 9085, 924, 5, 5259, 9, 2284, 308, 12, 13839, 7289, 16522, 19, 1537, 2536, 12876, 13, 349, 9, 5, 1134, 11, 5, 892, 4, 36, 27521, 1823, 9248, 112, 2383, 406, 15, 741, 119, 267, 4, 175, 311, 5, 14697, 30, 1736, 10, 2052, 118, 7856, 9834, 268, 8, 801, 18422, 3629, 322, 2011, 45286, 1750, 3457, 222, 45, 323, 10, 5824, 31, 10, 26956, 2904, 13, 1169, 7289, 16522, 50, 1965, 9, 1533, 31322, 25083, 13, 143, 9, 5, 1134, 24305, 11, 5, 5259, 19, 1537, 2536, 12876, 4, 166, 3891, 1455, 5, 3092, 11, 2103, 155, 36, 463, 5, 3748, 1823, 9248, 43, 19, 209, 25, 11152, 25083, 4, 50118, 50118, 41836, 132, 48850, 3602, 924, 5, 5259, 9, 308, 12, 13839, 16522, 19, 592, 323, 1797, 4, 10427, 11, 911, 9, 723 ]

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

[ 308, 12, 13839, 16522, 21, 3059, 19, 2388, 7708, 323, 31, 5, 7076, 8099, 621, 13, 5, 33371, 4216, 3592, 333, 8, 13, 5, 2771, 7289, 5688, 7728, 4, 1578, 6, 723, 7289, 16522, 21, 3059, 19, 2207, 145, 593, 7, 130, 50, 55, 82, 13, 5, 33371, 4216, 3592, 333, 4, 50118, 50118, 1121, 746, 6, 291, 2022, 10011, 36, 3818, 8871, 431, 14, 49, 7076, 8099, 621, 1286, 239, 1389, 9, 7708, 323, 6, 508, 2831, 36, 3103, 8871, 431, 14, 49, 8099, 621, 1286, 239, 1389, 9, 3722, 50, 7856, 8231, 323, 6, 8, 2357, 1244, 36, 5479, 8871, 431, 14, 51, 1299, 593, 7, 130, 50, 55, 82, 4, 50118, 50118, 41836, 132, 48850, 9085, 8612, 5, 14697, 227, 308, 12, 13839, 7289, 16522, 8, 5, 5995, 9, 2207, 7637, 716, 6886, 50, 40226, 8222, 4, 590, 349, 1933, 712, 11, 308, 12, 13839, 16522, 6, 5, 414, 2528, 10, 4878, 11, 5, 2207, 9, 40226, 3734, 9, 8222, 81, 5, 986, 76, 13, 70, 1134, 4682, 5, 3445, 8, 909, 7599, 333, 4, 2595, 1933, 712, 11, 308, 12, 13839, 16522, 6, 5, 810, 9, 2207, 7370, 7637, 716, 6886, 2551, 7, 7280, 11, 5, 1104, 1089, 333, 6, 19, 8074, 3038, 13, 5, 33371, 4216, 3592, 333, 4, 286, 5, 909, 7599, 333, 6, 5, 2904, 13, 42, 5259, 21, 13173, 36, 14595, 132, 48850, 9085, 32801, 50118, 50118, 1121, 70, 6, 13411, 10011, 36, 698, 8871, 431, 40226, 8222, 624, 5, 986, 76, 6, 8, 231, 3414, 36, 996, 8871, 431, 7370, 3734, 9, 7637, 716, 6886, 4, 20, 909, 7599, 333, 431, 5, 1609, 21087, 9, 40226, 8222, 6, 23, 508, 207, 36, 11828, 6537, 19, 1104, 1089, 8, 3445, 1134, 23, 231, 4234, 6739, 8, 1752, 354, 23, 158, 4234, 8, 7077, 354, 23, 262, 23528, 20, 909, 7599, 333, 67, 431, 5, 1609, 21087, 9, 7370, 7637, 716, 6886, 23, 2491, 207, 36, 3697, 687, 1104, 1089, 204, 4234, 3445, 262, 4234, 7077, 354, 290, 4234, 6739, 753, 4234, 8, 1752, 354, 545, 23528, 50118, 50118, 41836, 112, 48850, 9085, 924, 762, 15343, 1575, 13, 5, 7728, 4, 96, 937, 6, 3445, 82, 11, 5, 7728, 56, 10, 1122, 15343, 4392, 7, 5, 1104, 1089, 333, 15, 1046, 6, 592, 1380, 6, 1265, 6, 8, 30615, 2194, 4, 1944, 7289, 5688, 1134, 58, 55, 533, 7, 28, 9, 795, 592, 1380, 87, 5, 1104, 1089, 333, 8, 21131, 7, 28, 3240, 131, 42, 21, 941, 12664, 13, 5, 33371, 4216, 3592, 333, 4, 20, 33371, 4216, 3592, 8, 9246, 1134, 67, 56, 5, 1609, 10301, 9, 82, 2207, 117, 5984, 18952, 4, 50118, 50118, 48763, 50118, 50118, 42686, 32483, 4139, 2285, 5, 754, 14, 911, 32274, 18269, 30, 7289, 5688, 1134, 32, 67, 5, 144, 22632, 6, 84, 4139, 3608, 14, 6, 13, 103, 7289, 5688, 1134, 36, 179, 1989, 3445, 8, 33371, 4216, 3592, 82, 238, 1207, 11, 911, 9, 723, 308, 12, 13839, 16522, 189, 28, 3059, 19, 10, 2906, 5995, 9, 1537, 2536, 12876, 4, 20, 33371, 4216, 3592 ]

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

[ 333, 2551, 7, 311, 5, 144, 4292, 14697, 227, 2284, 308, 12, 13839, 7289, 16522, 8, 690, 9, 8065, 6886, 6, 723, 7708, 323, 6, 8, 357, 592, 4836, 4, 2223, 89, 21, 205, 1283, 7, 3608, 11775, 7289, 16522, 3038, 13, 5, 3445, 333, 6, 5, 414, 222, 45, 323, 10, 18422, 5033, 5259, 227, 2284, 3445, 7289, 16522, 8, 143, 9, 5, 1797, 13, 8222, 6, 592, 323, 6, 50, 592, 4836, 4, 20, 5442, 2609, 5586, 14, 44, 48, 38211, 16522, 17, 46, 14519, 32, 533, 7, 28, 39872, 42019, 8, 189, 45, 4303, 11, 5, 276, 169, 420, 1134, 4, 1541, 20070, 222, 45, 4559, 84, 31098, 14, 5, 11775, 3038, 9, 7289, 16522, 13, 1537, 2536, 12876, 429, 28, 43219, 30, 2906, 4895, 7, 8222, 50, 2782, 4895, 7, 592, 323, 50, 592, 4836, 6, 1712, 712, 11, 7289, 16522, 21, 3059, 19, 10, 7280, 11, 5, 13135, 9, 7159, 3734, 8, 2782, 592, 323, 13, 103, 1134, 4, 50118, 50118, 44222, 29148, 9, 892, 20, 4139, 9, 42, 1966, 12155, 7, 10, 41616, 61, 21, 4786, 11, 3788, 4, 20, 5252, 9, 8702, 11, 1156, 8, 5, 4221, 9, 7289, 5688, 1822, 34, 1714, 81, 42, 86, 6, 1360, 8, 24, 16, 678, 14, 5, 3038, 431, 259, 189, 117, 1181, 28, 4249, 7, 5, 1134, 1165, 11, 42, 892, 6, 50, 7, 103, 9, 5, 55, 485, 10822, 1134, 7, 1156, 4, 14422, 557, 34, 4658, 14, 5, 2450, 341, 11, 42, 1966, 13, 1736, 12, 4483, 33314, 737, 36, 23007, 661, 17254, 1292, 17, 27, 29, 3574, 4210, 43, 189, 45, 3127, 5604, 6305, 1389, 9, 31322, 11, 7289, 5688, 1134, 1118, 19, 1104, 1089, 82, 4, 1366, 20, 2450, 13, 443, 12, 4483, 31322, 189, 33, 67, 39672, 7223, 11852, 5263, 13, 35526, 3435, 19790, 26075, 4, 85, 16, 678, 14, 5, 30848, 42860, 3038, 9, 33314, 737, 50, 443, 12, 4483, 31322, 189, 33, 24397, 50, 15970, 1720, 801, 7289, 16522, 3038, 4, 3283, 7, 42, 21, 5, 15480, 7482, 84, 1966, 14, 89, 58, 117, 97, 542, 1794, 29323, 42860, 25083, 11, 5, 5259, 227, 7289, 16522, 8, 143, 9, 5, 18422, 1295, 25083, 36, 13249, 1809, 8, 592, 323, 238, 50, 227, 18422, 1295, 25083, 8, 1537, 2536, 12876, 4, 1549, 753, 2223, 52, 33, 3751, 7, 9160, 13, 7856, 9834, 268, 6, 143, 30848, 42860, 3038, 189, 33, 21099, 2785, 9, 25646, 4, 1646, 287, 42, 21, 10, 5929, 1966, 9, 41, 2370, 41616, 11, 10, 3487, 5808, 443, 147, 1683, 10070, 32, 45, 2885, 6, 24, 21, 45, 678, 7, 3094, 892, 476, 137, 1966, 4, 6326, 43022, 476, 189, 33, 9521, 13, 5, 5890, 1762, 9, 41, 1683, 13, 103, 9, 5, 7289, 1134, 4, 152, 16, 2800, 30, 5, 15306, 14, 1683, 2785, 13, 70, 5, 7289, 5688, 1134, 21131, 7, 3608, 10, 11775, 1683, 15, 5, 5995, 9, 1537, 2536, 12876, 566, 82, 1207, 11, 911, 9, 723, 308, 12, 13839, 16522, 6, 8, 12337, 6164, 207, 2123, 29087, 58, 11, 103, 1200, 1810, 4 ]

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

[ 1944, 18659, 9, 42, 892, 12155, 7, 5, 2116, 2810, 337, 1521, 4, 41775, 37771, 6948, 115, 33, 9521, 13, 4139, 131, 24, 16, 27099, 14, 82, 19, 1537, 2536, 12876, 189, 2807, 7, 27038, 1235, 8, 517, 409, 31, 49, 1822, 4, 35109, 9415, 16, 67, 10, 2212, 6, 25, 82, 19, 1537, 2536, 12876, 189, 28, 55, 533, 7, 6001, 2430, 1061, 215, 25, 8222, 50, 2430, 5894, 9, 4158, 4, 3347, 6, 5894, 9, 42, 892, 6053, 103, 9, 5, 2019, 7, 2969, 474, 3038, 566, 7289, 12568, 4, 20, 21968, 22356, 3611, 9, 5, 1142, 198, 8222, 32, 45, 2885, 6, 8, 24, 16, 678, 14, 103, 9, 5, 1134, 189, 33, 223, 12, 28422, 3734, 9, 6886, 25, 42, 21, 10, 5685, 443, 9, 6422, 4, 19135, 6, 1797, 215, 25, 209, 33, 57, 341, 11, 97, 3218, 8668, 5, 913, 9, 8222, 15, 474, 4, 844, 733, 820, 2223, 5, 1142, 198, 592, 323, 33, 57, 29548, 6, 42, 21, 11, 10, 1089, 1956, 9, 2366, 15460, 6, 698, 8, 51, 189, 33, 57, 540, 8218, 13, 5, 7289, 5688, 1134, 12026, 11, 84, 892, 4, 14422, 557, 34, 2528, 14, 82, 189, 34882, 323, 751, 9, 49, 3169, 38879, 61, 189, 680, 323, 149, 26973, 2167, 7260, 45, 716, 11, 5, 276, 12258, 4, 245, 166, 1165, 10, 2450, 7, 7118, 13, 592, 4836, 6, 53, 52, 58, 45, 441, 7, 7118, 5, 2574, 9, 209, 4836, 4, 85, 16, 3891, 678, 14, 5, 1797, 341, 11, 42, 1966, 222, 45, 1950, 7118, 505, 323, 16934, 149, 97, 1715, 4, 50118, 50118, 44382, 2590, 15561, 9, 892, 598, 84, 2655, 42, 16, 5, 78, 892, 7, 10154, 5, 5259, 9, 7289, 16522, 19, 1537, 2536, 12876, 25, 3030, 149, 16697, 6, 29548, 9571, 8, 634, 3901, 17325, 6448, 7, 1316, 13, 20456, 46644, 2961, 8, 786, 12, 33821, 9, 15864, 4, 870, 634, 3228, 12, 4483, 3092, 11, 1966, 6, 52, 9710, 5, 936, 9, 26176, 44469, 36, 8569, 36973, 14070, 32, 156, 59, 2172, 15, 5, 1453, 9, 443, 12, 4483, 414, 43, 25, 52, 58, 441, 7, 1421, 9624, 3038, 11586, 23, 258, 1736, 8, 443, 1389, 4, 83, 617, 2093, 9, 5, 595, 892, 21, 11, 5, 304, 9, 414, 31, 10, 9852, 4915, 2658, 9, 1156, 6, 61, 52, 679, 74, 146, 5, 4139, 2200, 937, 30061, 7, 5, 3734, 9, 7289, 5688, 1134, 1207, 1328, 1156, 6, 13176, 19, 5, 31929, 14, 42, 41616, 21, 4915, 9, 1956, 15229, 11, 3788, 4, 3347, 6, 203, 986, 557, 14951, 7289, 16522, 14697, 34, 21131, 7, 304, 544, 1511, 414, 7, 3094, 1162, 9, 3814, 2536, 12876, 4, 1922, 706, 564, 973, 1541, 892, 9710, 5, 4230, 31681, 17886, 11, 215, 8369, 30, 28210, 16629, 2536, 474, 7762, 634, 16697, 5154, 15011, 15, 1956, 12, 4483, 414, 4, 50118, 50118, 48455, 29758, 8, 6676, 19, 97, 3218, 96, 2396, 19, 986, 557, 6, 2518, 52, 303, 6, 13, 144, 1134, 6, 23, 513, 10, 80, 12851, 712, 11, 5, 5995, 9, 1537 ]

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

[ 2536, 12876, 566, 82, 54, 431, 7242, 8222, 11, 5, 986, 76, 50, 6886, 23, 173, 4, 32087, 6, 1207, 11, 911, 9, 723, 308, 12, 13839, 16522, 21, 3059, 19, 10, 4878, 11, 5, 2207, 9, 7159, 8, 22587, 3734, 13, 103, 1134, 4, 509, 97, 892, 34, 2528, 14, 7289, 16522, 189, 21944, 136, 40226, 8222, 566, 7289, 5688, 1134, 1207, 11, 1156, 6, 306, 61, 34, 57, 617, 2800, 149, 29981, 173, 4, 245, 1216, 4139, 6, 2863, 5, 15306, 14, 13, 103, 1134, 1207, 11, 911, 9, 723, 308, 12, 13839, 16522, 21, 3059, 19, 2782, 592, 323, 6, 1807, 7, 223, 1902, 5, 801, 44, 48, 33844, 636, 5159, 17, 46, 245, 5043, 9, 35526, 3435, 19790, 26075, 6, 1712, 209, 2167, 2433, 222, 45, 14620, 88, 5, 9562, 30, 61, 5, 10142, 2536, 474, 3038, 9, 7289, 16522, 58, 43219, 6, 11, 84, 20070, 4, 20, 2450, 52, 341, 7, 7118, 23848, 36, 13367, 24690, 33273, 47265, 994, 716, 15, 5, 987, 18023, 11, 3788, 43, 2607, 36601, 4484, 19, 97, 557, 53, 34, 11948, 4, 2517, 1806, 189, 45, 9914, 1235, 25, 145, 11, 5, 276, 7289, 333, 81, 86, 6, 2890, 98, 1403, 24690, 33273, 23848, 197, 28, 5915, 25, 10, 16453, 13, 141, 82, 1217, 49, 6332, 9, 41, 7289, 32389, 2517, 389, 8, 473, 45, 4784, 5797, 88, 32791, 9, 44, 48, 27952, 3599, 4, 17, 46, 2517, 12845, 557, 34, 6, 13, 1246, 6, 2528, 14, 4106, 3464, 3059, 19, 4106, 3599, 115, 28, 3059, 19, 2536, 474, 1795, 2983, 8, 115, 44, 48, 32019, 4620, 9, 592, 323, 6, 3959, 22025, 8, 899, 7, 4042, 17, 46, 2517, 131, 3891, 499, 557, 115, 10154, 141, 444, 4106, 3599, 189, 5679, 10599, 7289, 16522, 3038, 6, 1712, 6475, 7, 7118, 44, 48, 8009, 1571, 17, 46, 189, 1455, 943, 2019, 4, 1541, 2609, 9, 41, 7289, 16522, 1683, 11, 103, 9, 5, 1134, 197, 45, 23732, 5, 2764, 15189, 2609, 14, 443, 12, 4483, 31322, 21, 3059, 19, 1537, 2536, 12876, 13, 144, 9, 5, 1134, 6, 8, 911, 32274, 18269, 30, 7289, 5688, 1134, 58, 67, 5, 19125, 4, 20, 5259, 9, 12258, 12, 4483, 5263, 19, 1537, 2536, 12876, 34, 57, 11237, 1474, 11, 65, 485, 20552, 1551, 6, 2881, 1712, 1602, 25, 540, 4292, 11, 277, 4, 3103, 660, 26176, 892, 9, 44149, 30724, 11, 2270, 575, 2528, 14, 11, 911, 9, 723, 7289, 16522, 6, 30724, 13, 103, 5688, 1134, 21, 2906, 4, 3079, 20, 4139, 31, 5, 1455, 892, 189, 323, 5, 19395, 14, 215, 5550, 32, 10, 898, 9, 20456, 5550, 11, 5, 21087, 9, 1537, 2536, 12876, 36, 281, 4340, 7, 474, 1818, 5550, 228, 842, 238, 1712, 24, 16, 533, 14, 443, 12, 4483, 14697, 19, 1537, 2536, 12876, 40, 28, 2632, 6, 576, 14697, 19, 443, 12, 4483, 31322, 4, 166, 222, 45, 33, 5, 2139, 414, 7, 7118, 44, 48, 19027, 812, 4, 17, 46, 14422, 557, 34, 2528, 14, 592, 812, 3038, 15, 2536, 474, 32, 2632, 6, 2022, 45 ]

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

[ 460, 4292, 6, 2022, 8, 189, 33, 10754, 6073, 3038, 19, 443, 12, 4483, 8, 1736, 12, 4483, 5263, 3367, 50, 310, 10, 13514, 774, 11, 6184, 154, 20456, 2536, 474, 18746, 87, 25206, 24176, 2433, 4, 3272, 635, 6, 24, 34, 67, 57, 2528, 14, 82, 1207, 11, 911, 9, 795, 308, 12, 13839, 16522, 189, 619, 14612, 1720, 25, 10, 898, 44, 48, 1116, 10, 239, 3093, 9, 31657, 566, 5, 1647, 333, 17, 46, 3170, 8, 42, 115, 898, 11, 12661, 2536, 474, 4, 20, 774, 9, 592, 812, 8, 31657, 11, 6846, 13, 7289, 16522, 3038, 115, 28, 10543, 11, 499, 557, 4, 3283, 7, 42, 6, 52, 553, 59, 34014, 7585, 9, 8222, 8, 6886, 6, 53, 52, 58, 3276, 7, 7118, 5894, 9, 44, 48, 22466, 1208, 8222, 17, 46, 3416, 50, 5, 1683, 9, 11441, 7, 10, 36314, 1720, 333, 1207, 11, 911, 9, 795, 308, 12, 13839, 16522, 4, 1749, 152, 189, 28, 10, 55, 16139, 9562, 13, 6846, 13, 333, 16522, 3038, 87, 5, 3038, 10543, 259, 6, 8, 115, 28, 16217, 11, 499, 557, 4, 598, 84, 2655, 6, 117, 97, 557, 34, 10543, 5, 1683, 9, 7289, 16522, 15, 2536, 474, 11, 3445, 82, 4, 3445, 82, 1207, 11, 1444, 33, 10, 1181, 750, 9, 8702, 6, 8, 98, 5, 1389, 9, 7289, 16522, 1348, 13, 42, 333, 58, 45, 25, 239, 25, 13, 103, 97, 7289, 5688, 1134, 4, 85, 16, 3891, 24946, 14, 11775, 16522, 3038, 58, 202, 450, 13, 42, 333, 4, 6211, 986, 4139, 14, 3445, 82, 1207, 11, 1444, 676, 10, 723, 21087, 9, 1537, 2536, 12876, 6, 134, 3492, 499, 557, 197, 4374, 7, 20489, 2433, 23, 5, 37617, 672, 3059, 19, 1207, 11, 911, 9, 723, 308, 12, 13839, 16522, 61, 115, 28, 11775, 13, 42, 36, 281, 157, 25, 13, 97, 43, 1134, 17, 27, 2536, 474, 4, 345, 58, 67, 10, 367, 7152, 4139, 4, 286, 1246, 6, 52, 1581, 14, 190, 5, 1104, 1089, 333, 431, 540, 6886, 114, 51, 3033, 11, 911, 9, 723, 308, 12, 13839, 16522, 4, 20, 6886, 2450, 2913, 4620, 9, 6886, 97, 87, 1015, 6, 215, 25, 6886, 528, 7, 3458, 9734, 6, 61, 189, 202, 28, 41, 696, 13, 42, 333, 4, 286, 5, 909, 7599, 333, 6, 7289, 16522, 3038, 58, 67, 45, 25, 421, 4, 23570, 19, 5, 97, 1134, 6, 5, 909, 7599, 333, 431, 5, 1609, 21087, 9, 6886, 4, 635, 6, 909, 7599, 82, 1207, 11, 911, 9, 723, 308, 12, 13839, 16522, 431, 55, 4042, 1330, 6886, 87, 167, 1207, 11, 911, 9, 795, 308, 12, 13839, 16522, 4, 166, 222, 45, 33, 335, 15, 5, 3597, 17, 27, 2259, 9, 4042, 6, 61, 189, 45, 33, 57, 5, 276, 25, 317, 9, 5238, 4, 85, 16, 67, 678, 14, 3734, 9, 6886, 23, 173, 13, 5, 909, 7599, 333, 189, 33, 57, 239, 190, 114, 28717, 58, 2034, 11, 35526, 3435, 19790, 911, 114, 4042, 963, 1511, 19, 82, 751, 9, 49, 435, 4, 1541, 4139, 198 ]

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

[ 173, 1330, 6886, 32, 4292, 19, 277, 892, 2964, 11, 3017, 928, 6, 61, 2528, 10, 723, 21087, 9, 173, 1330, 6689, 6886, 566, 909, 1704, 12, 9518, 1452, 16595, 82, 6, 61, 21, 3059, 19, 723, 1389, 9, 10947, 13250, 566, 2182, 10011, 4, 3714, 96, 1285, 6, 84, 4139, 32, 4292, 19, 277, 1966, 67, 634, 435, 12, 4483, 414, 6, 61, 2528, 14, 1207, 11, 911, 9, 723, 308, 12, 13839, 16522, 21, 3059, 19, 10, 346, 9, 22555, 474, 8, 592, 7762, 566, 909, 7599, 82, 4, 401, 50118, 50118, 9685, 47774, 1142, 8, 499, 557, 345, 58, 117, 19427, 14070, 31, 84, 20070, 35, 7289, 16522, 3038, 58, 1455, 13, 103, 9, 5, 7289, 5688, 1134, 6, 53, 578, 36895, 6475, 7, 10154, 5, 774, 9, 8222, 6, 592, 323, 6, 50, 592, 4836, 11, 18422, 1295, 209, 3038, 578, 1694, 58, 45, 441, 7, 35144, 542, 12486, 5, 3099, 9, 7289, 16522, 4, 7543, 557, 115, 1056, 15, 2433, 14, 52, 222, 45, 1100, 6, 215, 25, 10754, 6073, 3038, 19, 5263, 6, 592, 812, 6, 4106, 3599, 6, 8, 7678, 6070, 27975, 6, 8, 5, 774, 9, 592, 323, 45, 1804, 7, 3169, 1081, 4158, 4, 7627, 9, 10, 45045, 1521, 11, 499, 557, 189, 432, 19, 5, 696, 9, 7213, 37771, 6948, 8, 6001, 9415, 4, 96, 1285, 6, 499, 173, 189, 1796, 31, 29981, 8369, 7, 2887, 2969, 9, 5, 774, 9, 44, 48, 28746, 17, 46, 8, 44, 48, 858, 8774, 22482, 8489, 17, 46, 11, 6244, 474, 6, 31, 5, 477, 9, 1217, 9, 1196, 4, 2, 0, 133, 15174, 6855, 1544, 9, 6055, 34, 3873, 10, 92, 394, 93, 65, 5, 1651, 2046, 40, 1920, 8618, 19, 5, 3962, 14170, 1643, 556, 4, 50118, 50118, 45280, 22608, 21, 3873, 7, 5, 737, 23, 10, 792, 529, 378, 4, 91, 144, 682, 2075, 13, 5, 752, 13251, 11, 5, 570, 729, 11, 7672, 5997, 2681, 3865, 102, 6, 53, 685, 7, 13194, 3957, 9369, 11123, 4, 50118, 50118, 113, 100, 437, 16962, 7, 1325, 5, 323, 9, 5, 792, 8, 38, 356, 556, 7, 447, 3615, 19, 84, 884, 6, 3262, 3410, 2596, 60, 22608, 26, 11, 10, 340, 800, 4, 50118, 50118, 33050, 22999, 5, 1514, 314, 11042, 30, 16786, 384, 108, 12017, 6, 54, 4425, 159, 94, 353, 6, 95, 130, 688, 71, 3410, 2596, 21, 2736, 4985, 884, 4, 50118, 50118, 530, 38687, 384, 108, 12017, 4425, 159, 31, 5, 4985, 1643, 11, 587, 4, 36, 10766, 2407, 3999, 221, 4712, 90, 73, 27759, 12, 14031, 4839, 50118, 50118, 33050, 26, 19, 3410, 2596, 6, 51, 32, 546, 556, 7, 19275, 22, 627, 40, 9, 84, 453, 7, 1045, 10, 881, 6, 481, 12, 11798, 22627, 537, 137, 5, 220, 729, 72, 50118, 50118, 113, 38210, 453, 2763, 16089, 13, 8618, 6, 8, 38, 19781, 84, 792, 13, 63, 699, 2098, 13, 5, 7368, 40, 9, 453, 60, 3410, 2596, 26, 11, 5, 800, 4, 50118, 50118, 1708, 3410, 2596, 161, 95, 142, 258, 32, 2061, 15, 8618 ]

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

[ 6, 14, 630, 75, 1266, 51, 351, 75, 5393, 97, 1735, 114, 2139, 4, 50118, 50118, 113, 1106, 52, 1395, 1338, 10, 37854, 1288, 19, 5, 3962, 14170, 1643, 6, 50, 114, 5, 453, 9, 1169, 537, 10363, 215, 41, 1288, 6, 14, 38, 40, 109, 960, 38, 64, 7, 1119, 5, 4985, 537, 25, 5, 3626, 7, 42, 15518, 13194, 168, 72, 50118, 50118, 133, 411, 12, 3583, 4267, 5, 333, 851, 1495, 7, 1338, 10, 432, 1595, 15, 273, 6, 53, 3410, 2596, 26, 10, 432, 16, 593, 4, 2, 0, 20320, 548, 34, 341, 5, 1461, 4253, 3819, 187, 5, 360, 9, 19271, 12, 42302, 35, 4253, 8, 11353, 12, 12116, 132, 6, 53, 5, 138, 341, 42, 76, 18, 272, 5949, 25, 10, 1761, 7, 4659, 5, 10359, 6, 4253, 132, 4, 50118, 50118, 133, 2443, 965, 75, 2230, 10, 2755, 131, 107, 536, 6, 34598, 18, 29757, 188, 1641, 1474, 14, 138, 21, 447, 10, 92, 1732, 9, 5, 3819, 4, 635, 6, 5, 4828, 2443, 839, 14, 52, 33, 10, 357, 1114, 99, 5, 3819, 64, 11829, 4, 50118, 50118, 113, 3908, 4253, 132, 6, 84, 1056, 16, 2284, 12475, 8106, 4, 6211, 141, 505, 3018, 5129, 1383, 16, 1959, 6, 4253, 132, 16, 1887, 45, 13, 95, 5, 2038, 6596, 6, 53, 10298, 20660, 1235, 7, 4064, 11, 5, 5012, 8, 709, 9, 49, 2674, 426, 60, 161, 34598, 18, 3309, 312, 10917, 11, 10, 1228, 800, 4, 50118, 50118, 20320, 548, 67, 1487, 10, 1152, 373, 18120, 4341, 6, 61, 16, 10, 1933, 14, 2386, 47, 7, 4615, 18120, 1383, 31, 110, 4985, 50, 18120, 14969, 7, 97, 2110, 15, 5, 276, 1546, 4, 20, 3280, 1933, 40, 701, 68, 1096, 6, 53, 606, 19, 10, 18120, 33737, 13, 41, 943, 68, 1096, 4, 18120, 4341, 4548, 21083, 642, 6, 8, 40, 28, 577, 11, 759, 4, 50118, 50118, 2709, 55, 15, 34598, 18, 272, 5949, 340, 6, 192, 209, 1652, 59, 18120, 13055, 8, 18120, 28413, 4, 50118, 50118, 2522, 4624, 50118, 50118, 100, 437, 686, 14, 52, 40, 192, 5, 4253, 132, 2443, 4649, 6231, 11, 5, 499, 6, 53, 5, 4991, 9, 10, 92, 3819, 5712, 10, 410, 3269, 396, 10, 92, 177, 7, 8085, 5, 5587, 2863, 24, 4, 38, 216, 14, 40599, 9, 20660, 2818, 7, 310, 11353, 12, 12116, 155, 32, 2053, 5, 276, 631, 4, 2, 0, 43232, 44559, 17, 27, 29, 26933, 3411, 16, 855, 15, 63, 169, 7, 1959, 5, 78, 4118, 12, 10711, 4293, 7, 27884, 24422, 1469, 24343, 5, 7183, 4, 25837, 2987, 30, 10, 8454, 6, 6631, 12, 3743, 8980, 3819, 14, 16, 8852, 8992, 30, 4118, 1007, 6, 5, 14839, 44559, 165, 34, 80, 1175, 11, 1508, 4, 20, 78, 4554, 16, 7, 311, 14, 595, 4233, 3448, 23, 3927, 1007, 5838, 32, 7058, 8, 2375, 4, 20, 200, 16, 7, 3316, 6441, 557, 11, 5, 882, 9, 8741, 1007, 4, 50118, 50118, 133, 232, 17, 27, 29, 1154, 4118, 12, 10711, 4293, 34, 416, 57, 7, 2561, 6, 230, 3290 ]

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

[ 879, 6, 10157, 6, 3523, 3532, 8, 95, 156, 63, 169, 7, 5490, 4, 1464, 40786, 198, 6560, 1730, 251, 8, 2766, 1730, 1810, 6, 5, 68, 2481, 153, 26933, 3411, 64, 15995, 4240, 654, 3670, 4, 50118, 50118, 133, 5092, 12, 23866, 6, 1859, 12, 16353, 3627, 16, 8852, 30, 81, 195, 6, 19148, 3925, 1730, 9, 4118, 2798, 154, 4, 20, 9217, 476, 80, 3459, 19979, 6, 61, 64, 1338, 379, 1788, 228, 1946, 4, 20, 9217, 64, 67, 27685, 62, 615, 10696, 1007, 7, 476, 5, 4293, 11, 2779, 1650, 13, 130, 360, 4, 20, 7400, 1007, 16, 10696, 11, 10, 3065, 16904, 12, 1499, 3822, 4, 50118, 50118, 2409, 6, 11, 403, 47, 58, 8020, 141, 14839, 44559, 376, 62, 5, 3627, 17, 27, 29, 766, 6, 26933, 3411, 16, 16934, 31, 5, 44, 48, 37565, 9, 5, 32106, 17, 46, 17466, 30, 344, 4, 500, 4, 500, 4, 44107, 8, 19303, 7, 35, 44, 48, 627, 476, 9, 5, 3778, 17, 46, 8, 44, 48, 28923, 4405, 4, 17, 46, 50118, 50118, 43232, 44559, 17, 27, 29, 998, 2, 0, 17, 48, 100, 524, 2283, 14, 5, 976, 126, 184, 7, 10, 16609, 346, 9, 4707, 217, 103, 9, 5, 144, 25961, 856, 25729, 126, 1388, 7, 2755, 5, 232, 19, 5, 2574, 8, 2877, 9, 4707, 6953, 4, 17, 46, 50118, 50118, 24514, 25373, 163, 22694, 31104, 50118, 50118, 3762, 9, 5, 144, 43137, 5544, 2127, 15, 3875, 6, 5, 3877, 28374, 857, 281, 578, 36407, 3509, 5371, 22165, 6, 1926, 12, 16843, 666, 6, 15377, 6, 1926, 7095, 8, 5, 3174, 1667, 9, 30822, 578, 1322, 67, 223, 9753, 1856, 4, 11050, 7, 709, 6, 129, 564, 207, 9, 5, 1461, 29073, 11, 5, 976, 1091, 13762, 8, 2213, 9, 4707, 14, 697, 11, 5, 3877, 28374, 857, 281, 32, 1687, 7197, 3711, 4, 50118, 50118, 40466, 464, 16, 30, 444, 5, 144, 1473, 1856, 7, 5, 976, 53, 1956, 434, 6, 35552, 6, 81, 571, 9919, 154, 6, 31143, 6, 5, 7892, 721, 6, 4481, 6, 6631, 8, 13075, 6884, 8285, 709, 33, 70, 3162, 7, 5, 9985, 63, 14283, 24843, 4, 50118, 50118, 17, 48, 133, 1539, 16, 7, 8415, 84, 3711, 24843, 137, 209, 4707, 6, 8, 643, 648, 4727, 32, 685, 6, 17, 46, 26, 1960, 118, 33790, 967, 366, 3144, 884, 9, 5, 38929, 10427, 28374, 857, 281, 11980, 4, 44, 48, 17, 48, 133, 3877, 28374, 857, 281, 16, 23, 10, 2116, 14923, 4, 26581, 64, 2845, 549, 7, 1407, 5, 595, 2718, 1567, 14283, 6795, 14, 109, 45, 1950, 1316, 13, 3039, 7342, 6, 50, 185, 41, 3626, 2718, 1567, 14382, 5777, 6, 55, 5068, 776, 709, 4, 17, 46, 50118, 50118, 20904, 597, 16, 7313, 963, 11, 3117, 5, 749, 9, 5, 3877, 28374, 857, 281, 17, 27, 2017, 1567, 2272, 6795, 14, 923, 24843, 8, 5, 518, 51, 694, 7, 5, 2535, 9, 82, 11, 5, 976, 4, 21404, 11, 65, 9, 5, 144, 20508, 30570, 14283, 3806, 15, 3875, 6, 5, 38929, 10427, 28374, 857 ]

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

[ 281, 11980, 19288, 10, 670, 2174, 4918, 7, 1306, 14, 82, 11, 42, 976, 6, 697, 624, 5, 26176, 839, 8, 1091, 624, 5, 10156, 9, 65, 5518, 4, 50118, 50118, 2409, 149, 5, 2805, 2688, 12, 11856, 1817, 755, 17196, 695, 6, 38929, 16, 447, 19, 1822, 15, 5, 3543, 9, 5, 976, 17, 27, 29, 1958, 2084, 23364, 1186, 6, 147, 5, 171, 7342, 9, 2147, 464, 8, 26079, 709, 32, 416, 145, 1299, 4, 166, 32, 67, 22405, 714, 6, 61, 37138, 1632, 5799, 1052, 420, 1958, 2084, 23364, 1186, 6, 8, 8216, 7, 10, 499, 147, 258, 82, 8, 28809, 64, 12692, 4, 50118, 50118, 32998, 52, 64, 2823, 10, 19129, 499, 13, 5, 976, 17, 27, 29, 82, 8, 28809, 6, 217, 63, 4066, 8932, 9, 4707, 126, 167, 14, 52, 416, 216, 8, 167, 202, 2445, 7, 28, 2967, 4, 2, 0, 133, 12980, 1938, 9, 37920, 16964, 16, 26525, 30, 81, 16560, 9, 4358, 8, 7511, 27340, 6, 61, 32, 41941, 9, 5, 44042, 17, 27, 29, 31492, 3184, 8, 5, 12980, 3078, 1495, 4, 9068, 6, 6030, 1521, 9, 12980, 16964, 3441, 19039, 5, 4358, 8, 46127, 1042, 552, 143, 7356, 2718, 11, 5, 3078, 1195, 87, 9382, 2811, 5, 38163, 13879, 4, 38, 40, 492, 10, 239, 12, 4483, 7740, 7, 10, 367, 12980, 43448, 15796, 7373, 13, 11473, 4358, 8, 46127, 11, 19790, 37920, 26956, 45429, 8, 28593, 41393, 3693, 6448, 4, 6903, 6, 38, 40, 1455, 795, 22772, 15, 4358, 1042, 6, 61, 8085, 5, 17775, 6948, 9, 5, 15785, 12980, 1938, 4964, 13, 44316, 1635, 19, 1402, 1675, 31492, 6609, 4, 20, 26534, 1966, 9, 209, 16964, 40, 28, 14267, 19, 819, 775, 13, 19790, 36173, 44316, 1635, 15, 23268, 12980, 41885, 4, 24817, 6, 38, 40, 13433, 25544, 5090, 255, 35354, 30763, 6, 10, 5560, 43909, 4453, 9, 20410, 6, 24165, 14413, 6, 8, 37531, 9, 7268, 808, 30846, 414, 3880, 14, 34444, 4358, 12, 24645, 16964, 11, 5, 5377, 9, 6441, 2975, 6, 11, 1989, 6, 239, 12, 7904, 45386, 5175, 3184, 6448, 4, 2, 0, 9904, 6, 52, 697, 11, 10, 24758, 2040, 6, 11, 61, 390, 33, 117, 205, 5717, 77, 24, 606, 7, 84, 3738, 4, 166, 697, 11, 10, 24758, 2040, 11, 61, 390, 32, 2328, 4212, 25, 1363, 8720, 6, 8, 23, 5, 276, 86, 32, 1481, 7486, 13, 84, 17969, 4, 85, 1302, 7, 162, 14, 52, 33, 80, 5717, 25, 7, 141, 7, 2519, 7, 42, 4, 166, 64, 860, 7, 11821, 5, 6787, 6, 5700, 4703, 14172, 1536, 9, 209, 31515, 2113, 6, 8, 860, 7, 465, 14, 1969, 6, 17208, 9796, 516, 227, 44046, 8, 3349, 6343, 4, 50118, 50118, 11094, 52, 64, 224, 6, 44, 48, 44823, 24, 4, 345, 16, 117, 169, 38, 64, 339, 93, 98, 38, 17, 27, 119, 164, 7, 109, 3046, 5, 26536, 38, 236, 4, 38, 17, 27, 119, 164, 7, 3568, 1374, 29, 6, 50, 38, 17, 27, 119, 164, 7, 3568, 239, 8872, 4, 38, 17, 27, 119, 164, 7 ]

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

[ 33, 2099, 19, 10328, 15595, 11, 10, 363, 6, 50, 38, 17, 27, 119, 45, 164, 7, 33, 2099, 19, 1268, 4, 38, 17, 27, 119, 164, 7, 3588, 3354, 352, 8, 18904, 11, 285, 23, 70, 498, 6, 50, 38, 17, 27, 119, 164, 7, 1331, 12343, 3493, 9, 2185, 15, 5, 3742, 114, 38, 13629, 157, 619, 101, 24, 4, 17, 46, 50118, 50118, 2409, 11, 584, 6, 44, 48, 100, 64, 17, 27, 90, 339, 6, 98, 38, 17, 27, 119, 164, 7, 109, 3046, 5, 26536, 38, 236, 7, 109, 6, 17, 46, 52, 64, 1045, 5, 28351, 9, 10, 1124, 4, 166, 64, 1045, 5, 28351, 9, 10, 232, 147, 52, 269, 64, 339, 4, 166, 64, 1045, 5, 28351, 9, 10, 232, 147, 52, 17, 27, 241, 10, 410, 55, 481, 87, 5, 390, 54, 376, 137, 201, 1174, 8, 147, 5, 390, 54, 283, 71, 201, 32, 10, 410, 55, 481, 87, 52, 32, 4, 166, 1153, 64, 17, 27, 90, 1045, 10, 1969, 232, 6, 147, 390, 17, 27, 29, 3738, 2025, 17, 27, 90, 42017, 3786, 11, 5, 31619, 36, 3654, 11, 42, 2706, 6, 6992, 322, 125, 52, 64, 1045, 10, 357, 232, 35, 10, 232, 147, 390, 17, 27, 29, 3738, 8, 7283, 9943, 540, 7, 5, 40939, 6, 8, 55, 7, 4288, 4, 2, 0, 22026, 4, 8115, 854, 24019, 3026, 3480, 18, 7602, 2091, 19903, 14, 37, 16, 45, 2273, 59, 690, 14, 807, 140, 2385, 4, 56, 10, 529, 11, 502, 336, 19, 10, 4439, 54, 1224, 66, 7, 28, 1083, 4, 20, 188, 469, 1513, 431, 42, 983, 14, 140, 2385, 482, 8790, 10552, 6, 8, 140, 637, 1044, 1206, 8496, 1145, 19, 10, 1083, 2470, 13, 59, 291, 728, 15, 5, 1034, 14, 79, 115, 694, 335, 59, 5, 2235, 637, 4, 50118, 50118, 113, 8275, 38, 206, 24, 16, 3901, 116, 38, 206, 38, 1153, 74, 33, 626, 5, 276, 631, 60, 37, 26, 4, 50118, 50118, 113, 11913, 9773, 54, 34, 57, 11, 41, 729, 480, 47, 214, 460, 667, 7, 120, 335, 734, 178, 489, 11, 1508, 79, 938, 75, 41, 2936, 13, 5, 1083, 168, 6, 79, 21, 95, 10, 798, 2470, 6, 8, 114, 951, 606, 8, 161, 51, 33, 335, 59, 41, 5254, 480, 14, 16, 10, 205, 631, 7, 109, 60, 37, 26, 4, 2, 0, 3764, 2371, 3450, 673, 36, 14773, 14287, 43, 93, 85, 3816, 918, 285, 12, 23170, 2113, 6, 53, 89, 32, 22251, 1024, 23, 5, 6586, 2010, 4237, 54, 206, 1085, 9, 9460, 110, 2682, 4, 50118, 50118, 44311, 209, 690, 35, 96, 502, 6, 10, 320, 13759, 23, 17392, 7616, 1016, 4414, 21, 4018, 7, 389, 377, 11, 752, 1789, 13, 8394, 19426, 8, 3151, 6205, 31, 10, 1029, 12, 23589, 1238, 9, 9460, 418, 4, 20, 13759, 2641, 14, 37, 1415, 5, 97, 169, 77, 5, 1029, 12, 23589, 8268, 31, 68, 698, 6, 151, 7, 68, 541, 6, 151, 11, 1055, 81, 10, 508, 12, 2151, 675, 4, 50118, 50118, 11321 ]

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

[ 628, 392, 6, 89, 33, 57, 80, 2559, 10960, 431, 23, 1287, 1422, 1016, 4414, 8, 10, 19049, 2513, 23, 3516, 3870, 17308, 4414, 11, 2499, 14, 669, 7, 7102, 8, 27040, 4, 50118, 50118, 1121, 587, 6, 10, 483, 24211, 1036, 23, 229, 4488, 4414, 11, 6467, 4407, 2181, 11, 752, 461, 7, 13811, 5751, 1103, 71, 10, 19049, 2513, 2037, 69, 19, 80, 68, 1866, 4760, 4033, 16775, 88, 10, 9304, 7524, 8, 97, 3977, 783, 18331, 4033, 11, 6399, 12189, 4, 264, 2346, 56, 57, 9460, 1055, 31, 2898, 11774, 3133, 149, 69, 6625, 6, 309, 7, 690, 4, 50118, 50118, 28965, 6, 209, 8, 97, 7102, 8, 1857, 3594, 10, 650, 3164, 9, 5, 55, 87, 654, 6, 151, 24211, 1024, 23, 55, 87, 13411, 121, 4, 104, 4, 9651, 4, 24211, 161, 24, 18973, 29, 5, 22235, 9, 103, 132, 153, 3670, 1230, 4, 50118, 50118, 133, 24211, 67, 2785, 14, 13, 358, 24211, 3200, 54, 12325, 10, 3298, 6, 103, 411, 7, 158, 5195, 50, 3062, 1321, 8, 9617, 67, 33, 93, 2260, 66, 9, 1217, 9, 5, 4408, 4, 50118, 50118, 133, 24211, 34, 6566, 2305, 14, 24, 34, 44, 48, 102, 4276, 12352, 13, 5751, 17, 46, 8, 63, 3425, 4941, 8, 1690, 1033, 31508, 14, 24, 16, 4353, 11, 27123, 66, 5, 1099, 1669, 8, 390, 4, 598, 465, 106, 6, 24, 12438, 15, 573, 4387, 6, 8670, 19, 400, 488, 2251, 8, 63, 308, 82, 4, 20, 229, 4488, 19049, 6, 13, 1246, 6, 376, 2876, 4496, 31, 2598, 1321, 25, 157, 25, 916, 4, 50118, 50118, 17, 48, 170, 109, 45, 17028, 6, 35005, 6, 1719, 62, 50, 15925, 5751, 30, 84, 1024, 30, 143, 4140, 9, 5, 13670, 8, 11, 144, 1200, 6, 24, 16, 2598, 1321, 20489, 154, 5, 5751, 8, 5, 1651, 3784, 543, 13, 6914, 9, 167, 36, 8155, 43, 74, 2134, 49, 3446, 6, 17, 46, 5, 24211, 21617, 982, 4, 50118, 50118, 46070, 7, 489, 110, 1038, 1522, 50118, 50118, 970, 32, 2402, 47, 64, 185, 7, 489, 110, 383, 66, 9, 17797, 17, 27, 1420, 35, 50118, 50118, 1620, 203, 25, 678, 6, 489, 10, 1183, 2650, 2295, 15, 110, 18750, 4, 44, 48, 1185, 32, 2149, 13, 110, 1038, 25, 24, 6938, 149, 5, 7231, 609, 6, 17, 46, 309, 7, 5, 24211, 4, 50118, 50118, 8275, 45, 6356, 11449, 6, 1055, 6, 15962, 6, 8917, 50, 143, 14283, 1964, 11, 110, 22235, 4, 15084, 932, 14, 47, 64, 17, 27, 90, 697, 396, 23, 184, 4, 50118, 50118, 28056, 5, 2664, 4113, 14, 5, 3062, 1639, 13, 11449, 6, 11966, 8, 28811, 6, 8, 20252, 93, 634, 106, 19101, 5751, 4, 4624, 160, 167, 1964, 137, 47, 120, 7, 5, 573, 516, 8, 342, 106, 11, 5, 7524, 9, 10, 2324, 12, 261, 4, 50118, 50118, 1106, 47, 33, 10, 685, 50, 1716, 6880, 31, 10, 573, 21562, 6, 1649, 5, 3062, 17, 27, 29, 685, 8, 303, 78, 4, 20, 24211, 34, 10, 889, 9, 70, 5, 1028, 1530, 23, 358 ]