Datasets:
Dmitriy007
/
Lenta_2_v2

Dataset card Viewer Files Community
Search is not available for this dataset
input_ids
sequencelengths
1.05k
1.05k
attention_mask
sequencelengths
1.05k
1.05k
labels
sequencelengths
1.05k
1.05k
[ 1, 87, 1456, 81, 2448, 30, 677, 4440, 1045, 411, 1175, 21159, 4843, 5737, 5096, 16, 6881, 282, 37732, 18, 421, 34462, 5196, 2158, 35067, 2430, 14522, 18001, 4843, 6695, 5096, 16, 2961, 3664, 14372, 2110, 10940, 19124, 18, 1268, 3041, 14758, 411, 2553, 47011, 411, 17, 431, 12142, 282, 7044, 16, 367, 282, 11023, 17234, 31117, 6524, 9654, 26621, 20858, 18, 640, 5922, 14758, 21519, 326, 289, 11031, 30, 4813, 309, 697, 45396, 5384, 16, 4211, 3957, 7533, 617, 281, 590, 991, 1082, 282, 21989, 18, 31224, 30, 471, 4408, 8872, 4440, 779, 20809, 360, 3041, 895, 16122, 4652, 4843, 5737, 5096, 16, 282, 11671, 1045, 510, 2364, 4843, 2932, 5096, 18, 967, 803, 656, 7614, 339, 16, 374, 477, 6740, 27068, 746, 4018, 779, 15516, 23284, 14758, 910, 510, 2815, 478, 34010, 470, 44072, 12318, 3281, 4944, 24313, 513, 283, 18, 14541, 448, 37618, 334, 14728, 14758, 411, 1175, 10191, 475, 41977, 400, 6150, 30, 764, 8802, 2891, 14487, 414, 16, 374, 411, 2553, 21159, 322, 1033, 4843, 6654, 5096, 16, 282, 11130, 37732, 8566, 45161, 4843, 3324, 5096, 16, 282, 3998, 4120, 35067, 2430, 16685, 1549, 18001, 519, 4843, 6695, 5096, 18, 32895, 539, 14909, 16181, 3158, 639, 7614, 17858, 30, 334, 47902, 35067, 8112, 1624, 349, 34098, 510, 31177, 20809, 360, 3041, 14758, 5575, 4843, 12770, 5096, 16, 6177, 282, 4101, 18116, 492, 17744, 6593, 30, 282, 11130, 492, 12076, 4843, 3940, 5096, 16, 282, 12354, 510, 4843, 4234, 5096, 1279, 11141, 21788, 2514, 360, 266, 1214, 282, 4843, 26, 384, 28, 5096, 282, 5572, 27068, 1290, 18, 478, 9489, 31177, 933, 4760, 37732, 5458, 1569, 639, 8830, 18001, 16, 29913, 309, 4843, 6695, 5096, 19691, 13446, 31441, 18019, 917, 360, 266, 1214, 14758, 309, 13860, 4700, 32942, 910, 510, 2548, 6548, 46038, 951, 50, 52, 12207, 3398, 633, 19518, 1312, 1994, 379, 3583, 18, 478, 677, 4101, 1272, 5196, 360, 3041, 14758, 17744, 11109, 16, 309, 31776, 6110, 35467, 2301, 28029, 334, 23892, 4103, 395, 16, 374, 7332, 294, 8928, 954, 360, 266, 1214, 16, 2805, 827, 745, 322, 449, 40868, 8394, 14311, 32826, 10776, 910, 510, 38721, 6548, 46038, 46633, 478, 27481, 2722, 470, 4137, 8891, 21163, 483, 18, 24269, 268, 3190, 32295, 37732, 360, 3041, 14758, 510, 1176, 411, 3322, 12647, 349, 4101, 1939, 986, 18, 9133, 25627, 1472, 282, 5049, 1045, 309, 8011, 445, 19035, 542, 20454, 12142, 289, 30483, 17, 17516, 14494, 2793, 510, 4843, 4234, 23, 16, 27, 5096, 18, 365, 9350, 451, 5021, 1205, 411, 1175, 329, 6339, 435, 4843, 10207, 16, 21, 5096, 18, 14427, 20251, 50093, 360, 266, 1214, 14758, 282, 4440, 1045, 510, 31354, 622, 309, 17313, 14412, 26476, 289, 6591, 2913, 891, 6152, 2992, 11934, 449, 8135, 2047, 18, 478, 4441, 15818, 309, 15257, 5768, 16, 2588, 37437, 2712, 19793, 281, 4103, 4697, 19744, 18, 365, 1750, 4676, 11934, 35920, 3676, 1219, 637, 36977, 3771, 510, 2197, 411, 3322, 19478, 9522, 2044, 910, 510, 2548, 1312, 1994, 379, 3583, 18, 3739, 2197, 5869, 510, 10695, 1070, 10597, 18, 478, 4670, 24888, 12446, 45336, 30839, 309, 8011, 924, 16, 374, 25511, 13903, 6681, 5170, 16, 367, 16125, 334, 50119, 395, 2702, 29475, 18, 365, 3198, 45885, 16677, 322, 3118, 2760, 6178, 18836, 668, 49253, 910, 510, 2548, 8891, 21163, 483, 18, 20178, 2553, 14697, 322, 15083, 15688, 4284, 541, 7419, 624, 14758, 18, 478, 563, 19444, 8471, 2702, 13051, 315, 16, 939, 10718, 34902, 7122, 11397, 7005, 349, 1205, 16, 2805, 309, 8011, 1888, 2044, 18, 385, 10035, 4947, 4611, 475, 2702, 6218, 289, 45396, 262, 16, 6127, 10144, 4903, 286, 910, 510, 2548, 46038, 38872, 478, 789, 932, 343, 3911, 14101, 470, 11303, 1845, 344, 928, 14337, 18, 3557, 322, 2619, 19833, 20251, 9988, 4119, 18, 478, 983, 15617, 272, 4748, 322, 687, 16, 1085, 840, 12984, 16, 492, 8232, 7533, 617, 281, 590, 991, 1082, 282, 21989, 18, 365, 3338, 4190, 38171, 17446, 19079, 1223, 541, 7365, 617, 7321, 910, 510, 2548, 1312, 1994, 379, 3583, 16, 3116, 7892, 16, 374, 360, 3041, 14758, 2518, 847, 519, 18890, 37965, 10144, 18, 2, 1, 87, 1456, 81, 2448, 30, 4298, 1921, 18563, 19869, 16, 11350, 17, 30080, 41841, 478, 6889, 399, 26670, 264, 910, 19698, 3601, 9805, 8185, 10982, 18, 30587, 25254, 4772, 17, 3975, 5934, 783, 14388, 13591, 18, 17080, 17220, 5847, 320, 281, 13071, 1810, 282, 10830, 38530, 19566, 11959, 5075, 281, 1069, 876, 7923, 16, 515, 37919, 942, 639, 5837, 360, 19669, 18380, 670, 12863, 13103, 16, 4266, 34450, 18, 31224, 30, 17561, 1880, 30103, 4772, 17, 3975, 5934, 553, 10982, 19698, 3601, 19518, 18563, 19869, 1624, 11350, 17, 30080, 18164, 21359, 13858, 41744, 7851, 1161, 2241, 3783, 90, 3659, 94, 5436, 4761, 87, 565, 18, 18563, 19869, 13034, 341, 294, 4816, 32392, 20148, 8840, 5741, 3612, 16, 6442, 282, 3781, 17, 12495, 10982, 18, 365, 4676, 9515, 678, 840, 11558, 349, 8485, 3878, 5969, 2241, 282, 1175, 16, 478, 324, 3709, 411, 14795, 13269, 4772, 17, 42870, 523, 861, 365, 3781, 17, 12495, 10982, 322, 7737, 18622, 14090, 12356, 10936, 18, 415, 33139, 18563, 278, 3643, 639, 29128, 6396, 13591, 1011, 924, 16, 428, 3059, 20148, 8840, 10982, 22161, 14084, 4137, 7022, 1798, 1624, 19698, 14222, 48059, 4772, 17, 264, 1285, 12079, 1057, 38, 1201, 282, 3507, 18, 30587, 4090, 36271, 10982, 4296, 13205, 8185, 19504, 18, 4756, 13156, 478, 32485, 18, 8381, 470, 5780, 290, 970, 16, 374, 282, 3106, 12130, 7179, 15099, 4502, 2195, 16356, 4244, 451, 16555, 16, 367, 1038, 7190, 16422, 1624, 1021, 1753, 716, 4102, 17, 52, 2718, 1950, 16, 20044, 1624, 478, 563, 10202, 8666, 861, 18563, 19869, 49662, 18736, 7796, 15758, 14630, 7904, 31690, 21972, 7377, 16, 2397, 16775, 6116, 276, 7263, 39252, 718, 10712, 10830, 9487, 473, 41340, 1084, 3810, 22303, 593, 12877, 17348, 1971, 13, 289, 14627, 45654, 1607, 2168, 2340, 2682, 5409, 12954, 680, 4211, 17, 7701, 8076, 18, 2667, 21546, 282, 3783, 90, 3659, 94, 5436, 4761, 87, 565, 18563, 19869, 282, 3178, 4256, 986, 13000, 282, 19862, 2982, 1408, 303, 1428, 1484, 478, 6889, 399, 26670, 264, 861, 3026, 678, 34745, 17260, 42436, 9541, 17, 40000, 16, 367, 2512, 4830, 289, 23737, 349, 7794, 289, 34758, 32849, 416, 16523, 41841, 16, 8554, 22636, 353, 16, 7341, 11265, 8554, 289, 19540, 7005, 2241, 18, 365, 8311, 443, 21027 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 87, 1456, 81, 2448, 30, 677, 4440, 1045, 411, 1175, 21159, 4843, 5737, 5096, 16, 6881, 282, 37732, 18, 421, 34462, 5196, 2158, 35067, 2430, 14522, 18001, 4843, 6695, 5096, 16, 2961, 3664, 14372, 2110, 10940, 19124, 18, 1268, 3041, 14758, 411, 2553, 47011, 411, 17, 431, 12142, 282, 7044, 16, 367, 282, 11023, 17234, 31117, 6524, 9654, 26621, 20858, 18, 640, 5922, 14758, 21519, 326, 289, 11031, 30, 4813, 309, 697, 45396, 5384, 16, 4211, 3957, 7533, 617, 281, 590, 991, 1082, 282, 21989, 18, 31224, 30, 471, 4408, 8872, 4440, 779, 20809, 360, 3041, 895, 16122, 4652, 4843, 5737, 5096, 16, 282, 11671, 1045, 510, 2364, 4843, 2932, 5096, 18, 967, 803, 656, 7614, 339, 16, 374, 477, 6740, 27068, 746, 4018, 779, 15516, 23284, 14758, 910, 510, 2815, 478, 34010, 470, 44072, 12318, 3281, 4944, 24313, 513, 283, 18, 14541, 448, 37618, 334, 14728, 14758, 411, 1175, 10191, 475, 41977, 400, 6150, 30, 764, 8802, 2891, 14487, 414, 16, 374, 411, 2553, 21159, 322, 1033, 4843, 6654, 5096, 16, 282, 11130, 37732, 8566, 45161, 4843, 3324, 5096, 16, 282, 3998, 4120, 35067, 2430, 16685, 1549, 18001, 519, 4843, 6695, 5096, 18, 32895, 539, 14909, 16181, 3158, 639, 7614, 17858, 30, 334, 47902, 35067, 8112, 1624, 349, 34098, 510, 31177, 20809, 360, 3041, 14758, 5575, 4843, 12770, 5096, 16, 6177, 282, 4101, 18116, 492, 17744, 6593, 30, 282, 11130, 492, 12076, 4843, 3940, 5096, 16, 282, 12354, 510, 4843, 4234, 5096, 1279, 11141, 21788, 2514, 360, 266, 1214, 282, 4843, 26, 384, 28, 5096, 282, 5572, 27068, 1290, 18, 478, 9489, 31177, 933, 4760, 37732, 5458, 1569, 639, 8830, 18001, 16, 29913, 309, 4843, 6695, 5096, 19691, 13446, 31441, 18019, 917, 360, 266, 1214, 14758, 309, 13860, 4700, 32942, 910, 510, 2548, 6548, 46038, 951, 50, 52, 12207, 3398, 633, 19518, 1312, 1994, 379, 3583, 18, 478, 677, 4101, 1272, 5196, 360, 3041, 14758, 17744, 11109, 16, 309, 31776, 6110, 35467, 2301, 28029, 334, 23892, 4103, 395, 16, 374, 7332, 294, 8928, 954, 360, 266, 1214, 16, 2805, 827, 745, 322, 449, 40868, 8394, 14311, 32826, 10776, 910, 510, 38721, 6548, 46038, 46633, 478, 27481, 2722, 470, 4137, 8891, 21163, 483, 18, 24269, 268, 3190, 32295, 37732, 360, 3041, 14758, 510, 1176, 411, 3322, 12647, 349, 4101, 1939, 986, 18, 9133, 25627, 1472, 282, 5049, 1045, 309, 8011, 445, 19035, 542, 20454, 12142, 289, 30483, 17, 17516, 14494, 2793, 510, 4843, 4234, 23, 16, 27, 5096, 18, 365, 9350, 451, 5021, 1205, 411, 1175, 329, 6339, 435, 4843, 10207, 16, 21, 5096, 18, 14427, 20251, 50093, 360, 266, 1214, 14758, 282, 4440, 1045, 510, 31354, 622, 309, 17313, 14412, 26476, 289, 6591, 2913, 891, 6152, 2992, 11934, 449, 8135, 2047, 18, 478, 4441, 15818, 309, 15257, 5768, 16, 2588, 37437, 2712, 19793, 281, 4103, 4697, 19744, 18, 365, 1750, 4676, 11934, 35920, 3676, 1219, 637, 36977, 3771, 510, 2197, 411, 3322, 19478, 9522, 2044, 910, 510, 2548, 1312, 1994, 379, 3583, 18, 3739, 2197, 5869, 510, 10695, 1070, 10597, 18, 478, 4670, 24888, 12446, 45336, 30839, 309, 8011, 924, 16, 374, 25511, 13903, 6681, 5170, 16, 367, 16125, 334, 50119, 395, 2702, 29475, 18, 365, 3198, 45885, 16677, 322, 3118, 2760, 6178, 18836, 668, 49253, 910, 510, 2548, 8891, 21163, 483, 18, 20178, 2553, 14697, 322, 15083, 15688, 4284, 541, 7419, 624, 14758, 18, 478, 563, 19444, 8471, 2702, 13051, 315, 16, 939, 10718, 34902, 7122, 11397, 7005, 349, 1205, 16, 2805, 309, 8011, 1888, 2044, 18, 385, 10035, 4947, 4611, 475, 2702, 6218, 289, 45396, 262, 16, 6127, 10144, 4903, 286, 910, 510, 2548, 46038, 38872, 478, 789, 932, 343, 3911, 14101, 470, 11303, 1845, 344, 928, 14337, 18, 3557, 322, 2619, 19833, 20251, 9988, 4119, 18, 478, 983, 15617, 272, 4748, 322, 687, 16, 1085, 840, 12984, 16, 492, 8232, 7533, 617, 281, 590, 991, 1082, 282, 21989, 18, 365, 3338, 4190, 38171, 17446, 19079, 1223, 541, 7365, 617, 7321, 910, 510, 2548, 1312, 1994, 379, 3583, 16, 3116, 7892, 16, 374, 360, 3041, 14758, 2518, 847, 519, 18890, 37965, 10144, 18, 2, 1, 87, 1456, 81, 2448, 30, 4298, 1921, 18563, 19869, 16, 11350, 17, 30080, 41841, 478, 6889, 399, 26670, 264, 910, 19698, 3601, 9805, 8185, 10982, 18, 30587, 25254, 4772, 17, 3975, 5934, 783, 14388, 13591, 18, 17080, 17220, 5847, 320, 281, 13071, 1810, 282, 10830, 38530, 19566, 11959, 5075, 281, 1069, 876, 7923, 16, 515, 37919, 942, 639, 5837, 360, 19669, 18380, 670, 12863, 13103, 16, 4266, 34450, 18, 31224, 30, 17561, 1880, 30103, 4772, 17, 3975, 5934, 553, 10982, 19698, 3601, 19518, 18563, 19869, 1624, 11350, 17, 30080, 18164, 21359, 13858, 41744, 7851, 1161, 2241, 3783, 90, 3659, 94, 5436, 4761, 87, 565, 18, 18563, 19869, 13034, 341, 294, 4816, 32392, 20148, 8840, 5741, 3612, 16, 6442, 282, 3781, 17, 12495, 10982, 18, 365, 4676, 9515, 678, 840, 11558, 349, 8485, 3878, 5969, 2241, 282, 1175, 16, 478, 324, 3709, 411, 14795, 13269, 4772, 17, 42870, 523, 861, 365, 3781, 17, 12495, 10982, 322, 7737, 18622, 14090, 12356, 10936, 18, 415, 33139, 18563, 278, 3643, 639, 29128, 6396, 13591, 1011, 924, 16, 428, 3059, 20148, 8840, 10982, 22161, 14084, 4137, 7022, 1798, 1624, 19698, 14222, 48059, 4772, 17, 264, 1285, 12079, 1057, 38, 1201, 282, 3507, 18, 30587, 4090, 36271, 10982, 4296, 13205, 8185, 19504, 18, 4756, 13156, 478, 32485, 18, 8381, 470, 5780, 290, 970, 16, 374, 282, 3106, 12130, 7179, 15099, 4502, 2195, 16356, 4244, 451, 16555, 16, 367, 1038, 7190, 16422, 1624, 1021, 1753, 716, 4102, 17, 52, 2718, 1950, 16, 20044, 1624, 478, 563, 10202, 8666, 861, 18563, 19869, 49662, 18736, 7796, 15758, 14630, 7904, 31690, 21972, 7377, 16, 2397, 16775, 6116, 276, 7263, 39252, 718, 10712, 10830, 9487, 473, 41340, 1084, 3810, 22303, 593, 12877, 17348, 1971, 13, 289, 14627, 45654, 1607, 2168, 2340, 2682, 5409, 12954, 680, 4211, 17, 7701, 8076, 18, 2667, 21546, 282, 3783, 90, 3659, 94, 5436, 4761, 87, 565, 18563, 19869, 282, 3178, 4256, 986, 13000, 282, 19862, 2982, 1408, 303, 1428, 1484, 478, 6889, 399, 26670, 264, 861, 3026, 678, 34745, 17260, 42436, 9541, 17, 40000, 16, 367, 2512, 4830, 289, 23737, 349, 7794, 289, 34758, 32849, 416, 16523, 41841, 16, 8554, 22636, 353, 16, 7341, 11265, 8554, 289, 19540, 7005, 2241, 18, 365, 8311, 443, 21027 ]
[ 6206, 18563, 19869, 906, 19201, 334, 7341, 33976, 10268, 282, 478, 780, 5431, 432, 1560, 35515, 1408, 470, 473, 780, 15132, 934, 367, 519, 978, 13000, 282, 21112, 1212, 20352, 41744, 7851, 1161, 2241, 951, 16382, 94, 10280, 534, 25331, 43431, 16, 19862, 2204, 8803, 17677, 346, 26643, 37252, 15, 16, 13198, 11030, 10992, 2241, 22096, 1802, 1201, 289, 2921, 731, 582, 4772, 17, 272, 44105, 282, 1175, 49255, 27194, 3758, 18, 824, 3163, 15479, 309, 4772, 17, 42870, 582, 16, 371, 7022, 28603, 30199, 10982, 2756, 2119, 4214, 360, 9818, 1873, 294, 8581, 6965, 309, 25090, 34085, 18, 25643, 1924, 5366, 18563, 278, 3643, 25962, 4676, 12384, 2241, 16, 5273, 492, 30, 478, 563, 1335, 4947, 4611, 1333, 289, 10937, 1450, 8162, 18, 439, 3952, 1810, 282, 10830, 38530, 8350, 3089, 11959, 5075, 281, 4650, 758, 1069, 876, 7923, 861, 824, 3163, 15479, 16, 2059, 411, 9722, 18563, 278, 3643, 282, 4676, 9515, 2993, 1852, 3003, 3860, 37511, 2682, 2241, 282, 1087, 5038, 8803, 16, 453, 428, 478, 1369, 8903, 7203, 6780, 281, 22996, 2610, 1943, 4619, 360, 12130, 2241, 861, 740, 334, 3163, 17946, 343, 478, 1182, 884, 277, 470, 37026, 450, 538, 873, 324, 16, 1033, 21247, 5348, 360, 10982, 942, 639, 373, 13446, 16, 827, 373, 282, 3106, 12130, 685, 309, 10329, 9818, 2403, 12987, 670, 12863, 2414, 18, 478, 46989, 10239, 575, 15130, 36271, 35256, 9044, 16, 541, 924, 753, 12606, 6376, 8751, 32645, 2241, 309, 803, 5814, 16, 1586, 16, 309, 2218, 2193, 16, 5702, 48632, 323, 16, 510, 2548, 492, 18, 510, 439, 1574, 6569, 895, 31948, 3591, 21719, 281, 13071, 1810, 282, 22128, 2241, 861, 33402, 3680, 27583, 46039, 12237, 10982, 309, 19862, 5814, 14141, 282, 4016, 16, 23, 7418, 329, 478, 29464, 6852, 507, 470, 510, 21786, 5999, 365, 1175, 10982, 32033, 23095, 874, 1423, 12237, 16, 515, 282, 5344, 349, 2948, 4784, 265, 19120, 34107, 289, 24776, 17, 14442, 366, 16, 5273, 450, 538, 3786, 18, 2, 1, 87, 1456, 81, 2448, 30, 24569, 10733, 300, 309, 1272, 5196, 40888, 11350, 17, 44029, 1051, 5439, 45062, 16, 6895, 9798, 282, 27907, 7638, 17, 2589, 45062, 23235, 267, 2707, 347, 528, 1134, 23372, 18, 1303, 745, 4434, 7723, 282, 50128, 18, 35157, 5120, 14100, 23466, 32087, 26900, 9522, 424, 27503, 11923, 670, 27207, 424, 21784, 18, 23656, 14160, 9474, 7092, 309, 13942, 5120, 14100, 11340, 5355, 1101, 424, 32496, 16, 2897, 6611, 16, 374, 518, 8070, 3836, 2159, 12441, 539, 5510, 16, 753, 13015, 2096, 382, 670, 37351, 3493, 309, 22162, 18, 31224, 30, 983, 562, 1496, 451, 34086, 1551, 4534, 5475, 1286, 3750, 10733, 300, 334, 35491, 282, 50128, 40888, 16644, 14886, 5439, 45062, 510, 282, 27907, 7638, 17, 2589, 45062, 23235, 267, 2707, 347, 528, 1134, 23372, 16, 505, 5654, 1643, 1034, 28236, 18651, 3583, 289, 2086, 306, 3486, 1614, 1508, 399, 401, 16, 367, 1038, 9362, 4626, 10989, 890, 45639, 19792, 401, 16, 5923, 40568, 18, 10527, 877, 28328, 39383, 487, 424, 29092, 519, 1061, 4238, 18, 35157, 5120, 14100, 23466, 32087, 26900, 9522, 424, 27503, 11923, 670, 27207, 424, 21784, 18, 23656, 575, 14160, 9474, 7092, 309, 13942, 5120, 14100, 11340, 5355, 1101, 424, 32496, 16, 2897, 6611, 16, 374, 518, 8070, 3836, 2159, 12441, 539, 5510, 16, 753, 13015, 2096, 382, 670, 37351, 3493, 309, 22162, 18, 365, 2343, 3612, 20420, 779, 2438, 3665, 16, 374, 282, 50215, 541, 10438, 18552, 30030, 16477, 411, 4534, 18, 999, 808, 722, 1810, 334, 5034, 536, 9942, 898, 28384, 25835, 34199, 36942, 2664, 421, 6041, 421, 6041, 512, 1624, 6548, 38260, 10208, 45062, 43249, 383, 17, 22392, 2679, 10995, 2506, 1624, 1684, 1465, 8056, 1038, 282, 6937, 3881, 45639, 616, 718, 3700, 8193, 16, 3110, 6080, 478, 13261, 861, 824, 3761, 14160, 16, 282, 12500, 2604, 779, 10995, 2506, 16, 29109, 349, 14536, 1634, 19750, 16, 12076, 39081, 4523, 3010, 32996, 12480, 17528, 13671, 9608, 18, 308, 16, 309, 2114, 2125, 898, 13187, 1912, 17, 34435, 914, 18, 365, 17025, 37118, 12860, 7757, 44037, 9659, 16, 8380, 3137, 393, 10294, 34199, 36942, 2664, 18, 365, 12500, 7847, 779, 334, 505, 33158, 639, 7239, 3003, 290, 13464, 409, 38036, 1642, 16, 828, 685, 4284, 286, 13312, 6937, 2001, 309, 1032, 3763, 1671, 18, 2046, 2184, 1743, 322, 11176, 1323, 510, 5413, 282, 10666, 1061, 3750, 1642, 329, 23235, 267, 2707, 347, 528, 1134, 23372, 10258, 1684, 1465, 8811, 18747, 289, 33515, 7920, 1175, 18, 608, 6677, 5439, 898, 39152, 276, 14867, 9234, 457, 789, 16, 17593, 1254, 18927, 980, 15746, 16, 9234, 45516, 289, 1272, 31242, 24471, 40337, 16, 8977, 12117, 5854, 33515, 7920, 1175, 16974, 2075, 24009, 18, 3791, 1684, 1465, 8056, 329, 1949, 505, 5654, 1643, 289, 11350, 17, 2589, 4626, 18, 1303, 19516, 898, 28384, 18, 4802, 10292, 5019, 12784, 282, 2463, 1293, 43194, 18, 4824, 411, 1129, 14736, 281, 7391, 979, 6359, 541, 16023, 17339, 282, 12825, 17592, 406, 34126, 2679, 18, 28462, 14577, 478, 1464, 46060, 343, 470, 1974, 281, 13888, 2206, 43523, 1912, 5752, 2791, 16, 2686, 528, 1134, 2169, 289, 19792, 291, 31944, 505, 349, 5741, 16, 28, 9433, 18, 18154, 15585, 5327, 21947, 6359, 541, 29277, 12519, 30625, 289, 1562, 749, 31378, 18, 4794, 1810, 43455, 15499, 448, 14451, 349, 3443, 2497, 18, 528, 1134, 2169, 289, 1614, 1508, 7615, 10258, 29272, 541, 12851, 20194, 281, 7024, 478, 1009, 616, 280, 17, 41113, 910, 289, 282, 3734, 510, 2801, 6206, 2241, 639, 15771, 1569, 1033, 15173, 9433, 2791, 18, 2949, 924, 16, 36560, 387, 31505, 5153, 2357, 27526, 4076, 16, 4442, 1378, 309, 10729, 668, 47376, 3676, 296, 14850, 478, 17810, 326, 539, 33892, 910, 1754, 281, 4440, 779, 9600, 14206, 18651, 512, 18, 4794, 3193, 15892, 3457, 4359, 6629, 8193, 13312, 3077, 451, 4652, 6603, 9433, 277, 2791, 18, 2333, 5770, 6946, 23171, 6730, 16, 3781, 17, 15975, 4830, 1175, 9001, 9620, 6370, 26334, 2815, 16, 374, 37712, 5222, 272, 11205, 2625, 290, 17343, 17329, 6431, 282, 2630, 281, 10570, 9061, 14886, 282, 23181, 10731, 16, 5923, 727, 4742, 18, 4756, 651, 1939, 3612, 510, 25835, 34199, 36942, 2664, 421, 6041, 421, 6041, 512, 16, 44789, 282, 6245, 8191, 28485, 19750, 16, 685, 20817, 289, 2349, 2365, 282, 994, 2696, 16200, 755, 1011, 1684, 2449, 18, 478, 19571, 4964, 17434, 16, 374, 282, 11500, 4145, 779, 421, 6041, 512 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6206, 18563, 19869, 906, 19201, 334, 7341, 33976, 10268, 282, 478, 780, 5431, 432, 1560, 35515, 1408, 470, 473, 780, 15132, 934, 367, 519, 978, 13000, 282, 21112, 1212, 20352, 41744, 7851, 1161, 2241, 951, 16382, 94, 10280, 534, 25331, 43431, 16, 19862, 2204, 8803, 17677, 346, 26643, 37252, 15, 16, 13198, 11030, 10992, 2241, 22096, 1802, 1201, 289, 2921, 731, 582, 4772, 17, 272, 44105, 282, 1175, 49255, 27194, 3758, 18, 824, 3163, 15479, 309, 4772, 17, 42870, 582, 16, 371, 7022, 28603, 30199, 10982, 2756, 2119, 4214, 360, 9818, 1873, 294, 8581, 6965, 309, 25090, 34085, 18, 25643, 1924, 5366, 18563, 278, 3643, 25962, 4676, 12384, 2241, 16, 5273, 492, 30, 478, 563, 1335, 4947, 4611, 1333, 289, 10937, 1450, 8162, 18, 439, 3952, 1810, 282, 10830, 38530, 8350, 3089, 11959, 5075, 281, 4650, 758, 1069, 876, 7923, 861, 824, 3163, 15479, 16, 2059, 411, 9722, 18563, 278, 3643, 282, 4676, 9515, 2993, 1852, 3003, 3860, 37511, 2682, 2241, 282, 1087, 5038, 8803, 16, 453, 428, 478, 1369, 8903, 7203, 6780, 281, 22996, 2610, 1943, 4619, 360, 12130, 2241, 861, 740, 334, 3163, 17946, 343, 478, 1182, 884, 277, 470, 37026, 450, 538, 873, 324, 16, 1033, 21247, 5348, 360, 10982, 942, 639, 373, 13446, 16, 827, 373, 282, 3106, 12130, 685, 309, 10329, 9818, 2403, 12987, 670, 12863, 2414, 18, 478, 46989, 10239, 575, 15130, 36271, 35256, 9044, 16, 541, 924, 753, 12606, 6376, 8751, 32645, 2241, 309, 803, 5814, 16, 1586, 16, 309, 2218, 2193, 16, 5702, 48632, 323, 16, 510, 2548, 492, 18, 510, 439, 1574, 6569, 895, 31948, 3591, 21719, 281, 13071, 1810, 282, 22128, 2241, 861, 33402, 3680, 27583, 46039, 12237, 10982, 309, 19862, 5814, 14141, 282, 4016, 16, 23, 7418, 329, 478, 29464, 6852, 507, 470, 510, 21786, 5999, 365, 1175, 10982, 32033, 23095, 874, 1423, 12237, 16, 515, 282, 5344, 349, 2948, 4784, 265, 19120, 34107, 289, 24776, 17, 14442, 366, 16, 5273, 450, 538, 3786, 18, 2, 1, 87, 1456, 81, 2448, 30, 24569, 10733, 300, 309, 1272, 5196, 40888, 11350, 17, 44029, 1051, 5439, 45062, 16, 6895, 9798, 282, 27907, 7638, 17, 2589, 45062, 23235, 267, 2707, 347, 528, 1134, 23372, 18, 1303, 745, 4434, 7723, 282, 50128, 18, 35157, 5120, 14100, 23466, 32087, 26900, 9522, 424, 27503, 11923, 670, 27207, 424, 21784, 18, 23656, 14160, 9474, 7092, 309, 13942, 5120, 14100, 11340, 5355, 1101, 424, 32496, 16, 2897, 6611, 16, 374, 518, 8070, 3836, 2159, 12441, 539, 5510, 16, 753, 13015, 2096, 382, 670, 37351, 3493, 309, 22162, 18, 31224, 30, 983, 562, 1496, 451, 34086, 1551, 4534, 5475, 1286, 3750, 10733, 300, 334, 35491, 282, 50128, 40888, 16644, 14886, 5439, 45062, 510, 282, 27907, 7638, 17, 2589, 45062, 23235, 267, 2707, 347, 528, 1134, 23372, 16, 505, 5654, 1643, 1034, 28236, 18651, 3583, 289, 2086, 306, 3486, 1614, 1508, 399, 401, 16, 367, 1038, 9362, 4626, 10989, 890, 45639, 19792, 401, 16, 5923, 40568, 18, 10527, 877, 28328, 39383, 487, 424, 29092, 519, 1061, 4238, 18, 35157, 5120, 14100, 23466, 32087, 26900, 9522, 424, 27503, 11923, 670, 27207, 424, 21784, 18, 23656, 575, 14160, 9474, 7092, 309, 13942, 5120, 14100, 11340, 5355, 1101, 424, 32496, 16, 2897, 6611, 16, 374, 518, 8070, 3836, 2159, 12441, 539, 5510, 16, 753, 13015, 2096, 382, 670, 37351, 3493, 309, 22162, 18, 365, 2343, 3612, 20420, 779, 2438, 3665, 16, 374, 282, 50215, 541, 10438, 18552, 30030, 16477, 411, 4534, 18, 999, 808, 722, 1810, 334, 5034, 536, 9942, 898, 28384, 25835, 34199, 36942, 2664, 421, 6041, 421, 6041, 512, 1624, 6548, 38260, 10208, 45062, 43249, 383, 17, 22392, 2679, 10995, 2506, 1624, 1684, 1465, 8056, 1038, 282, 6937, 3881, 45639, 616, 718, 3700, 8193, 16, 3110, 6080, 478, 13261, 861, 824, 3761, 14160, 16, 282, 12500, 2604, 779, 10995, 2506, 16, 29109, 349, 14536, 1634, 19750, 16, 12076, 39081, 4523, 3010, 32996, 12480, 17528, 13671, 9608, 18, 308, 16, 309, 2114, 2125, 898, 13187, 1912, 17, 34435, 914, 18, 365, 17025, 37118, 12860, 7757, 44037, 9659, 16, 8380, 3137, 393, 10294, 34199, 36942, 2664, 18, 365, 12500, 7847, 779, 334, 505, 33158, 639, 7239, 3003, 290, 13464, 409, 38036, 1642, 16, 828, 685, 4284, 286, 13312, 6937, 2001, 309, 1032, 3763, 1671, 18, 2046, 2184, 1743, 322, 11176, 1323, 510, 5413, 282, 10666, 1061, 3750, 1642, 329, 23235, 267, 2707, 347, 528, 1134, 23372, 10258, 1684, 1465, 8811, 18747, 289, 33515, 7920, 1175, 18, 608, 6677, 5439, 898, 39152, 276, 14867, 9234, 457, 789, 16, 17593, 1254, 18927, 980, 15746, 16, 9234, 45516, 289, 1272, 31242, 24471, 40337, 16, 8977, 12117, 5854, 33515, 7920, 1175, 16974, 2075, 24009, 18, 3791, 1684, 1465, 8056, 329, 1949, 505, 5654, 1643, 289, 11350, 17, 2589, 4626, 18, 1303, 19516, 898, 28384, 18, 4802, 10292, 5019, 12784, 282, 2463, 1293, 43194, 18, 4824, 411, 1129, 14736, 281, 7391, 979, 6359, 541, 16023, 17339, 282, 12825, 17592, 406, 34126, 2679, 18, 28462, 14577, 478, 1464, 46060, 343, 470, 1974, 281, 13888, 2206, 43523, 1912, 5752, 2791, 16, 2686, 528, 1134, 2169, 289, 19792, 291, 31944, 505, 349, 5741, 16, 28, 9433, 18, 18154, 15585, 5327, 21947, 6359, 541, 29277, 12519, 30625, 289, 1562, 749, 31378, 18, 4794, 1810, 43455, 15499, 448, 14451, 349, 3443, 2497, 18, 528, 1134, 2169, 289, 1614, 1508, 7615, 10258, 29272, 541, 12851, 20194, 281, 7024, 478, 1009, 616, 280, 17, 41113, 910, 289, 282, 3734, 510, 2801, 6206, 2241, 639, 15771, 1569, 1033, 15173, 9433, 2791, 18, 2949, 924, 16, 36560, 387, 31505, 5153, 2357, 27526, 4076, 16, 4442, 1378, 309, 10729, 668, 47376, 3676, 296, 14850, 478, 17810, 326, 539, 33892, 910, 1754, 281, 4440, 779, 9600, 14206, 18651, 512, 18, 4794, 3193, 15892, 3457, 4359, 6629, 8193, 13312, 3077, 451, 4652, 6603, 9433, 277, 2791, 18, 2333, 5770, 6946, 23171, 6730, 16, 3781, 17, 15975, 4830, 1175, 9001, 9620, 6370, 26334, 2815, 16, 374, 37712, 5222, 272, 11205, 2625, 290, 17343, 17329, 6431, 282, 2630, 281, 10570, 9061, 14886, 282, 23181, 10731, 16, 5923, 727, 4742, 18, 4756, 651, 1939, 3612, 510, 25835, 34199, 36942, 2664, 421, 6041, 421, 6041, 512, 16, 44789, 282, 6245, 8191, 28485, 19750, 16, 685, 20817, 289, 2349, 2365, 282, 994, 2696, 16200, 755, 1011, 1684, 2449, 18, 478, 19571, 4964, 17434, 16, 374, 282, 11500, 4145, 779, 421, 6041, 512 ]
[ 16, 33394, 9259, 16, 374, 44037, 9659, 17528, 2364, 2123, 16, 25, 2634, 9608, 18, 308, 2211, 25228, 282, 34199, 36942, 962, 16, 1623, 35960, 6664, 50215, 16, 6245, 1712, 1617, 2993, 8340, 22141, 16, 28647, 14900, 20321, 290, 29860, 9670, 478, 9407, 15163, 470, 282, 18213, 32996, 12480, 349, 21348, 282, 9802, 430, 3763, 3417, 4500, 18, 1671, 18, 910, 510, 17930, 282, 9907, 14160, 18, 2112, 978, 309, 9185, 49606, 25457, 282, 35985, 451, 34491, 835, 906, 7316, 798, 10680, 290, 7233, 8314, 3018, 10305, 309, 1177, 9659, 18, 6592, 33260, 18380, 16296, 3412, 6134, 12480, 4896, 1033, 26746, 3763, 1671, 18, 478, 47642, 6037, 758, 20323, 421, 6041, 3583, 11534, 6723, 1007, 22306, 4851, 9449, 10855, 4000, 289, 4284, 286, 32934, 1436, 2110, 13312, 4359, 6629, 45062, 309, 7512, 2364, 6459, 3763, 1671, 18, 910, 510, 41274, 16573, 8495, 11998, 434, 11413, 18, 999, 1272, 2299, 519, 978, 37728, 35832, 549, 39635, 8977, 16, 374, 567, 808, 10438, 31678, 34199, 36942, 2664, 282, 2095, 13144, 10539, 10059, 4145, 510, 7847, 5521, 639, 43706, 17963, 1715, 309, 816, 5096, 1671, 2211, 510, 2764, 898, 27603, 35156, 876, 1398, 289, 1279, 389, 6037, 315, 18, 2, 1, 87, 1456, 81, 2448, 30, 780, 2166, 20171, 334, 5083, 23925, 282, 38264, 3011, 12978, 18, 22238, 7788, 15740, 478, 296, 4069, 355, 547, 281, 14996, 6425, 910, 2393, 16144, 16, 374, 6439, 322, 282, 38264, 16, 367, 282, 20213, 33477, 617, 27465, 7438, 18, 832, 1513, 15707, 8275, 360, 39511, 16, 367, 1513, 1033, 7556, 6281, 478, 275, 37555, 470, 309, 18836, 448, 16, 45119, 28872, 14697, 18, 31224, 30, 4182, 21519, 435, 43582, 282, 38264, 309, 24886, 315, 42787, 7583, 9779, 16, 2710, 14075, 289, 14125, 13102, 3203, 662, 282, 3320, 289, 428, 1175, 4927, 6281, 334, 722, 14857, 16, 753, 387, 18070, 16, 28522, 11009, 478, 273, 570, 11458, 6692, 470, 478, 677, 23702, 1175, 282, 38264, 289, 13367, 33477, 617, 7583, 9779, 470, 282, 4301, 44058, 16652, 18, 3405, 4160, 4018, 779, 3771, 2756, 474, 33545, 536, 11947, 38264, 16, 9744, 290, 6750, 2431, 282, 2588, 3539, 751, 1281, 986, 18, 1268, 41809, 6367, 21963, 294, 5216, 8872, 3203, 624, 282, 38264, 5121, 42373, 536, 18, 9133, 1223, 42716, 334, 8823, 294, 6750, 3707, 282, 38264, 639, 329, 6677, 289, 18112, 1069, 26932, 28237, 3643, 2241, 478, 10520, 300, 470, 19243, 450, 1633, 513, 1465, 18, 478, 677, 3805, 510, 481, 21249, 281, 14996, 6425, 16, 656, 481, 3919, 38208, 1248, 1421, 17, 29055, 779, 910, 510, 10218, 450, 1633, 513, 820, 1624, 529, 21796, 1815, 33795, 4981, 3960, 1175, 289, 6591, 48258, 519, 1912, 5999, 824, 505, 3163, 16, 726, 1314, 4783, 701, 43508, 477, 1963, 11612, 16, 7556, 48274, 22292, 1617, 4981, 16, 282, 970, 2875, 28051, 564, 1790, 18, 478, 3096, 8622, 520, 639, 1299, 4686, 34930, 16, 367, 971, 34138, 282, 38264, 5433, 510, 46276, 7791, 5037, 478, 10520, 455, 470, 1624, 26388, 309, 6377, 40443, 31494, 8390, 289, 7814, 48297, 4316, 278, 2477, 18, 1345, 11771, 1904, 2828, 2602, 294, 6750, 3707, 282, 38264, 16, 4128, 2240, 481, 478, 275, 20511, 9484, 910, 4255, 1475, 450, 1633, 513, 820, 18, 4185, 9227, 11304, 6731, 27099, 16, 450, 1633, 513, 820, 6455, 17131, 3276, 2175, 12631, 11198, 4934, 16, 35818, 16, 42300, 668, 289, 5003, 668, 13354, 18, 21474, 18974, 2107, 35639, 1873, 2241, 510, 478, 19386, 23987, 470, 510, 6096, 5228, 347, 22533, 685, 44612, 2619, 1479, 25001, 18, 478, 50206, 530, 16, 43582, 38264, 17625, 48435, 7957, 18, 740, 22354, 309, 25956, 30, 281, 3597, 4018, 779, 334, 41484, 3734, 779, 6591, 39511, 12076, 1032, 443, 25, 7418, 1472, 334, 30477, 19084, 277, 7438, 1488, 443, 29, 7418, 502, 912, 3111, 290, 1894, 426, 2557, 39511, 289, 7916, 320, 636, 541, 15185, 4981, 322, 6110, 910, 510, 1109, 17635, 18, 18233, 14312, 16, 374, 43582, 282, 38264, 510, 481, 764, 289, 22531, 290, 2834, 31691, 30, 282, 1175, 11588, 9523, 15341, 16, 828, 349, 17784, 16, 411, 17, 431, 15851, 289, 322, 27225, 1385, 4316, 278, 2477, 16, 13744, 492, 18, 824, 4734, 5228, 347, 41116, 16, 3860, 11864, 281, 20213, 33477, 1330, 5781, 7438, 16, 367, 322, 281, 6750, 3021, 282, 38264, 18, 439, 541, 7019, 8972, 26443, 348, 617, 282, 1175, 5121, 1269, 35495, 510, 481, 1421, 478, 273, 910, 428, 38033, 288, 1475, 8099, 334, 26341, 41581, 680, 12402, 8424, 4944, 385, 6788, 2325, 3715, 27488, 16, 27594, 16, 1363, 645, 36380, 18, 478, 563, 1163, 315, 6281, 282, 12544, 309, 30681, 5066, 282, 4190, 322, 30849, 17937, 360, 14829, 4629, 910, 510, 4255, 1475, 385, 6788, 2325, 18, 2326, 11283, 575, 334, 42942, 44100, 9690, 9, 510, 1717, 5065, 22829, 16, 334, 505, 3163, 16, 5548, 6455, 2584, 825, 16, 2018, 12640, 4693, 5003, 309, 1421, 5196, 16, 40763, 19602, 18, 459, 16, 2091, 16, 1513, 4417, 14836, 44000, 16, 753, 6281, 478, 265, 282, 37555, 16, 289, 282, 25152, 470, 282, 4190, 18412, 14922, 22506, 16, 41274, 3064, 385, 6788, 2325, 18, 27784, 24356, 668, 7664, 306, 3203, 1016, 282, 38264, 6455, 26306, 755, 21963, 16, 29846, 6357, 3783, 1084, 69, 46043, 16922, 2769, 8783, 18, 439, 4424, 12947, 290, 3203, 1207, 282, 3320, 428, 381, 9547, 282, 12544, 764, 282, 10841, 978, 779, 5037, 37159, 19457, 6211, 399, 1624, 13962, 4028, 3203, 662, 1175, 281, 22232, 478, 280, 1486, 1161, 4966, 470, 309, 21741, 16702, 18, 38433, 281, 8040, 16680, 47060, 541, 33477, 617, 5781, 7438, 510, 23484, 1194, 388, 758, 4735, 1134, 13429, 289, 5616, 758, 10070, 2389, 473, 511, 17, 431, 924, 16, 374, 29577, 41679, 5280, 1007, 360, 1801, 4981, 934, 367, 1038, 20213, 1611, 19528, 5197, 510, 11009, 21963, 6371, 289, 13051, 448, 18, 365, 970, 2875, 12652, 2553, 16, 8881, 8214, 17384, 10931, 16, 32341, 1486, 1545, 16356, 10216, 289, 22501, 19938, 18, 740, 371, 1514, 803, 829, 1682, 546, 3771, 360, 12227, 360, 5071, 347, 16, 367, 1500, 16, 1085, 360, 12227, 16, 20489, 1423, 33477, 622, 18, 478, 40423, 2301, 12525, 726, 309, 9878, 10649, 510, 11926, 282, 5630, 6367, 11418, 290, 18404, 26341, 16, 481, 16684, 21285, 16, 374, 478, 10524, 726, 41851, 309, 29228, 16, 367, 656, 687, 21367, 309, 4856, 910, 510, 4255, 1475, 385, 6788, 2325, 18, 478, 618, 360, 23925, 282, 38264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 33394, 9259, 16, 374, 44037, 9659, 17528, 2364, 2123, 16, 25, 2634, 9608, 18, 308, 2211, 25228, 282, 34199, 36942, 962, 16, 1623, 35960, 6664, 50215, 16, 6245, 1712, 1617, 2993, 8340, 22141, 16, 28647, 14900, 20321, 290, 29860, 9670, 478, 9407, 15163, 470, 282, 18213, 32996, 12480, 349, 21348, 282, 9802, 430, 3763, 3417, 4500, 18, 1671, 18, 910, 510, 17930, 282, 9907, 14160, 18, 2112, 978, 309, 9185, 49606, 25457, 282, 35985, 451, 34491, 835, 906, 7316, 798, 10680, 290, 7233, 8314, 3018, 10305, 309, 1177, 9659, 18, 6592, 33260, 18380, 16296, 3412, 6134, 12480, 4896, 1033, 26746, 3763, 1671, 18, 478, 47642, 6037, 758, 20323, 421, 6041, 3583, 11534, 6723, 1007, 22306, 4851, 9449, 10855, 4000, 289, 4284, 286, 32934, 1436, 2110, 13312, 4359, 6629, 45062, 309, 7512, 2364, 6459, 3763, 1671, 18, 910, 510, 41274, 16573, 8495, 11998, 434, 11413, 18, 999, 1272, 2299, 519, 978, 37728, 35832, 549, 39635, 8977, 16, 374, 567, 808, 10438, 31678, 34199, 36942, 2664, 282, 2095, 13144, 10539, 10059, 4145, 510, 7847, 5521, 639, 43706, 17963, 1715, 309, 816, 5096, 1671, 2211, 510, 2764, 898, 27603, 35156, 876, 1398, 289, 1279, 389, 6037, 315, 18, 2, 1, 87, 1456, 81, 2448, 30, 780, 2166, 20171, 334, 5083, 23925, 282, 38264, 3011, 12978, 18, 22238, 7788, 15740, 478, 296, 4069, 355, 547, 281, 14996, 6425, 910, 2393, 16144, 16, 374, 6439, 322, 282, 38264, 16, 367, 282, 20213, 33477, 617, 27465, 7438, 18, 832, 1513, 15707, 8275, 360, 39511, 16, 367, 1513, 1033, 7556, 6281, 478, 275, 37555, 470, 309, 18836, 448, 16, 45119, 28872, 14697, 18, 31224, 30, 4182, 21519, 435, 43582, 282, 38264, 309, 24886, 315, 42787, 7583, 9779, 16, 2710, 14075, 289, 14125, 13102, 3203, 662, 282, 3320, 289, 428, 1175, 4927, 6281, 334, 722, 14857, 16, 753, 387, 18070, 16, 28522, 11009, 478, 273, 570, 11458, 6692, 470, 478, 677, 23702, 1175, 282, 38264, 289, 13367, 33477, 617, 7583, 9779, 470, 282, 4301, 44058, 16652, 18, 3405, 4160, 4018, 779, 3771, 2756, 474, 33545, 536, 11947, 38264, 16, 9744, 290, 6750, 2431, 282, 2588, 3539, 751, 1281, 986, 18, 1268, 41809, 6367, 21963, 294, 5216, 8872, 3203, 624, 282, 38264, 5121, 42373, 536, 18, 9133, 1223, 42716, 334, 8823, 294, 6750, 3707, 282, 38264, 639, 329, 6677, 289, 18112, 1069, 26932, 28237, 3643, 2241, 478, 10520, 300, 470, 19243, 450, 1633, 513, 1465, 18, 478, 677, 3805, 510, 481, 21249, 281, 14996, 6425, 16, 656, 481, 3919, 38208, 1248, 1421, 17, 29055, 779, 910, 510, 10218, 450, 1633, 513, 820, 1624, 529, 21796, 1815, 33795, 4981, 3960, 1175, 289, 6591, 48258, 519, 1912, 5999, 824, 505, 3163, 16, 726, 1314, 4783, 701, 43508, 477, 1963, 11612, 16, 7556, 48274, 22292, 1617, 4981, 16, 282, 970, 2875, 28051, 564, 1790, 18, 478, 3096, 8622, 520, 639, 1299, 4686, 34930, 16, 367, 971, 34138, 282, 38264, 5433, 510, 46276, 7791, 5037, 478, 10520, 455, 470, 1624, 26388, 309, 6377, 40443, 31494, 8390, 289, 7814, 48297, 4316, 278, 2477, 18, 1345, 11771, 1904, 2828, 2602, 294, 6750, 3707, 282, 38264, 16, 4128, 2240, 481, 478, 275, 20511, 9484, 910, 4255, 1475, 450, 1633, 513, 820, 18, 4185, 9227, 11304, 6731, 27099, 16, 450, 1633, 513, 820, 6455, 17131, 3276, 2175, 12631, 11198, 4934, 16, 35818, 16, 42300, 668, 289, 5003, 668, 13354, 18, 21474, 18974, 2107, 35639, 1873, 2241, 510, 478, 19386, 23987, 470, 510, 6096, 5228, 347, 22533, 685, 44612, 2619, 1479, 25001, 18, 478, 50206, 530, 16, 43582, 38264, 17625, 48435, 7957, 18, 740, 22354, 309, 25956, 30, 281, 3597, 4018, 779, 334, 41484, 3734, 779, 6591, 39511, 12076, 1032, 443, 25, 7418, 1472, 334, 30477, 19084, 277, 7438, 1488, 443, 29, 7418, 502, 912, 3111, 290, 1894, 426, 2557, 39511, 289, 7916, 320, 636, 541, 15185, 4981, 322, 6110, 910, 510, 1109, 17635, 18, 18233, 14312, 16, 374, 43582, 282, 38264, 510, 481, 764, 289, 22531, 290, 2834, 31691, 30, 282, 1175, 11588, 9523, 15341, 16, 828, 349, 17784, 16, 411, 17, 431, 15851, 289, 322, 27225, 1385, 4316, 278, 2477, 16, 13744, 492, 18, 824, 4734, 5228, 347, 41116, 16, 3860, 11864, 281, 20213, 33477, 1330, 5781, 7438, 16, 367, 322, 281, 6750, 3021, 282, 38264, 18, 439, 541, 7019, 8972, 26443, 348, 617, 282, 1175, 5121, 1269, 35495, 510, 481, 1421, 478, 273, 910, 428, 38033, 288, 1475, 8099, 334, 26341, 41581, 680, 12402, 8424, 4944, 385, 6788, 2325, 3715, 27488, 16, 27594, 16, 1363, 645, 36380, 18, 478, 563, 1163, 315, 6281, 282, 12544, 309, 30681, 5066, 282, 4190, 322, 30849, 17937, 360, 14829, 4629, 910, 510, 4255, 1475, 385, 6788, 2325, 18, 2326, 11283, 575, 334, 42942, 44100, 9690, 9, 510, 1717, 5065, 22829, 16, 334, 505, 3163, 16, 5548, 6455, 2584, 825, 16, 2018, 12640, 4693, 5003, 309, 1421, 5196, 16, 40763, 19602, 18, 459, 16, 2091, 16, 1513, 4417, 14836, 44000, 16, 753, 6281, 478, 265, 282, 37555, 16, 289, 282, 25152, 470, 282, 4190, 18412, 14922, 22506, 16, 41274, 3064, 385, 6788, 2325, 18, 27784, 24356, 668, 7664, 306, 3203, 1016, 282, 38264, 6455, 26306, 755, 21963, 16, 29846, 6357, 3783, 1084, 69, 46043, 16922, 2769, 8783, 18, 439, 4424, 12947, 290, 3203, 1207, 282, 3320, 428, 381, 9547, 282, 12544, 764, 282, 10841, 978, 779, 5037, 37159, 19457, 6211, 399, 1624, 13962, 4028, 3203, 662, 1175, 281, 22232, 478, 280, 1486, 1161, 4966, 470, 309, 21741, 16702, 18, 38433, 281, 8040, 16680, 47060, 541, 33477, 617, 5781, 7438, 510, 23484, 1194, 388, 758, 4735, 1134, 13429, 289, 5616, 758, 10070, 2389, 473, 511, 17, 431, 924, 16, 374, 29577, 41679, 5280, 1007, 360, 1801, 4981, 934, 367, 1038, 20213, 1611, 19528, 5197, 510, 11009, 21963, 6371, 289, 13051, 448, 18, 365, 970, 2875, 12652, 2553, 16, 8881, 8214, 17384, 10931, 16, 32341, 1486, 1545, 16356, 10216, 289, 22501, 19938, 18, 740, 371, 1514, 803, 829, 1682, 546, 3771, 360, 12227, 360, 5071, 347, 16, 367, 1500, 16, 1085, 360, 12227, 16, 20489, 1423, 33477, 622, 18, 478, 40423, 2301, 12525, 726, 309, 9878, 10649, 510, 11926, 282, 5630, 6367, 11418, 290, 18404, 26341, 16, 481, 16684, 21285, 16, 374, 478, 10524, 726, 41851, 309, 29228, 16, 367, 656, 687, 21367, 309, 4856, 910, 510, 4255, 1475, 385, 6788, 2325, 18, 478, 618, 360, 23925, 282, 38264 ]
[ 1143, 1223, 34447, 518, 16, 1085, 15739, 3255, 16, 428, 16, 3057, 16, 17392, 274, 16, 510, 4725, 5037, 37732, 4944, 26749, 16748, 18, 510, 1782, 16, 1085, 13524, 467, 17191, 16, 12486, 1143, 16, 828, 518, 16, 1085, 13524, 467, 282, 2343, 16, 281, 7426, 20142, 478, 370, 10892, 467, 470, 1143, 861, 7042, 3775, 16, 309, 961, 656, 47736, 16, 1055, 322, 7243, 6225, 16, 4725, 492, 18, 999, 344, 3464, 448, 11009, 21963, 16, 282, 1423, 3678, 16, 11597, 3637, 1175, 2695, 968, 6281, 322, 687, 282, 13441, 16, 45154, 1595, 8275, 16, 515, 289, 282, 37555, 510, 15707, 1617, 18836, 448, 10855, 18, 478, 677, 3805, 510, 2117, 281, 939, 36554, 1875, 4868, 18, 4406, 4966, 7081, 5732, 16, 515, 1381, 28855, 9654, 13839, 5199, 18, 38830, 510, 481, 322, 687, 590, 13090, 10967, 32657, 309, 1360, 2095, 4629, 16, 510, 1109, 8851, 25776, 7597, 334, 26341, 16635, 15330, 46079, 2612, 18, 510, 985, 10128, 282, 30989, 41057, 769, 6300, 23847, 1185, 48, 52, 1624, 3149, 1175, 294, 3203, 1016, 282, 38264, 13494, 3848, 3196, 26446, 16, 367, 322, 9697, 4797, 4004, 18, 7042, 15083, 38264, 428, 17019, 510, 481, 6505, 16, 360, 1660, 1513, 15707, 22945, 289, 27099, 861, 3771, 322, 9225, 27077, 1756, 282, 38264, 16, 2003, 30165, 1450, 16801, 14570, 48059, 16, 3893, 2297, 33940, 10769, 18, 967, 803, 8219, 1855, 3674, 1513, 478, 275, 13839, 8616, 16, 367, 322, 282, 8195, 5842, 29842, 1936, 12890, 289, 7461, 910, 41274, 3064, 46079, 2612, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 34764, 27429, 31089, 7504, 9518, 11338, 478, 27874, 861, 18098, 574, 5793, 281, 18627, 590, 546, 3032, 2756, 6816, 30619, 19869, 16, 21166, 3412, 6816, 7891, 280, 718, 18, 31224, 30, 684, 3425, 728, 4002, 4681, 478, 27874, 470, 309, 34764, 27429, 1559, 541, 5781, 3652, 501, 312, 2294, 828, 17, 299, 4011, 478, 732, 331, 750, 12068, 470, 510, 23356, 11338, 18236, 282, 49983, 529, 609, 8142, 968, 20504, 18, 365, 803, 1045, 27045, 4696, 6353, 48154, 16573, 16, 49338, 496, 2496, 11620, 1051, 8103, 1559, 3720, 35758, 7891, 280, 778, 16, 13479, 21166, 2497, 510, 30866, 30241, 22403, 289, 4210, 4059, 15226, 510, 1272, 779, 9410, 19910, 2566, 5326, 4696, 18, 28413, 1743, 16, 374, 478, 27874, 470, 5092, 726, 2702, 2693, 16, 753, 360, 7525, 506, 23431, 30855, 282, 6003, 24791, 7179, 852, 17, 6047, 669, 22527, 18, 16274, 20673, 10484, 282, 803, 9347, 10867, 16, 3984, 4757, 318, 16, 322, 9002, 364, 18, 42636, 27972, 5948, 281, 36732, 301, 1559, 18407, 6740, 8900, 11303, 33437, 512, 16, 515, 505, 4786, 1273, 86, 86, 23237, 27292, 29960, 764, 519, 25067, 7583, 7475, 11338, 18, 11303, 8103, 17463, 478, 27874, 470, 282, 3106, 16126, 21814, 9269, 5115, 18, 2787, 575, 16, 3147, 7260, 16, 8232, 10212, 41980, 282, 2456, 2343, 629, 44203, 450, 331, 1043, 289, 505, 9404, 478, 1659, 562, 28995, 861, 1397, 5327, 7842, 6367, 16, 502, 30866, 30241, 22403, 473, 293, 18297, 22903, 4183, 8900, 934, 387, 22603, 309, 478, 13762, 45836, 763, 910, 19256, 6097, 15174, 282, 7583, 12810, 16, 367, 4210, 4059, 15226, 473, 1961, 301, 271, 8142, 883, 26006, 2503, 755, 13, 4452, 478, 1567, 9020, 3372, 3583, 470, 282, 7658, 25350, 10181, 292, 18, 6423, 20923, 632, 3588, 756, 477, 3319, 1128, 29615, 758, 531, 551, 17, 551, 440, 2608, 10700, 17, 292, 7219, 2756, 49338, 496, 38365, 16649, 368, 18, 5043, 16, 24150, 478, 21837, 4654, 470, 294, 5750, 3756, 18254, 2458, 322, 4443, 42498, 6367, 16, 3176, 22977, 289, 9645, 11620, 1051, 18, 1665, 289, 2091, 16, 10938, 548, 35065, 15803, 640, 28836, 342, 1624, 1029, 349, 1205, 16, 4426, 9776, 1918, 478, 1182, 511, 1554, 910, 24548, 1190, 10579, 15472, 14439, 16, 5723, 12780, 328, 404, 1779, 1011, 27832, 11338, 478, 33894, 14696, 16, 11245, 268, 861, 23976, 16, 7134, 282, 478, 27874, 263, 470, 9666, 448, 39091, 377, 2899, 16, 3057, 45908, 2910, 2257, 2019, 276, 12952, 16526, 1709, 354, 289, 27165, 332, 7891, 280, 718, 473, 1013, 324, 6816, 18580, 4254, 13, 282, 32626, 4267, 28220, 18, 16102, 282, 4542, 6236, 434, 33678, 49033, 4084, 395, 421, 665, 296, 401, 1624, 21166, 3412, 37026, 439, 877, 3949, 18, 16842, 570, 24808, 538, 382, 1714, 25885, 20142, 15130, 1190, 9814, 40728, 8616, 16, 515, 48947, 800, 16, 9956, 334, 4547, 16, 2709, 17697, 13416, 25327, 542, 16, 1830, 1609, 4084, 395, 3230, 10773, 20703, 18, 365, 44743, 387, 18047, 3720, 18947, 1624, 22293, 1736, 12874, 276, 504, 1154, 324, 18, 1870, 6183, 2234, 5834, 1135, 282, 6003, 8113, 8249, 18042, 937, 18379, 22308, 16, 371, 803, 27678, 519, 21451, 16, 515, 424, 6398, 25469, 16, 4813, 309, 6993, 14393, 14293, 5172, 281, 46835, 3933, 791, 394, 478, 17394, 43201, 1056, 3514, 861, 7100, 16, 27232, 5793, 3424, 2756, 18237, 2016, 7891, 280, 718, 510, 6816, 30619, 19869, 18, 1591, 7422, 5251, 4357, 28220, 678, 497, 555, 367, 5167, 411, 478, 672, 3394, 49316, 29257, 470, 289, 47650, 9090, 1424, 2826, 38577, 289, 939, 8866, 668, 15958, 18, 6193, 8724, 3186, 19664, 5112, 10121, 49321, 285, 1624, 7153, 447, 1779, 27232, 2827, 17913, 360, 7994, 16, 28794, 18607, 5418, 6272, 28240, 14243, 9543, 22937, 17015, 289, 6187, 33048, 565, 20773, 22161, 6370, 2124, 609, 18, 2877, 25682, 8232, 7572, 19963, 309, 10048, 29829, 308, 355, 2266, 350, 17, 1476, 296, 426, 289, 3676, 334, 1175, 18, 10324, 30501, 49321, 285, 3828, 16, 374, 282, 33762, 11258, 2452, 11620, 1051, 3118, 8018, 1463, 18, 2877, 5702, 687, 334, 36773, 12703, 290, 970, 16, 374, 16, 953, 895, 16, 7969, 7193, 289, 349, 23182, 8182, 7221, 4766, 20055, 484, 27133, 6011, 18, 5454, 16, 745, 322, 687, 424, 43404, 22308, 1561, 2234, 34171, 441, 411, 531, 551, 291, 16, 515, 289, 309, 10578, 487, 541, 1129, 3531, 8735, 18, 5043, 16, 481, 656, 28511, 1472, 1248, 1205, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 6035, 17, 15975, 4830, 2407, 6370, 26334, 4848, 16, 374, 4137, 6732, 3619, 4371, 290, 39847, 3808, 14328, 5761, 11854, 4447, 739, 37277, 360, 26205, 18, 20346, 4770, 2815, 16, 374, 478, 404, 1775, 28872, 3402, 470, 281, 4821, 758, 40694, 15373, 3191, 304, 3808, 27233, 455, 5781, 2954, 16, 37621, 282, 4095, 17870, 1816, 43076, 2407, 18, 6732, 5692, 16, 374, 18002 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1143, 1223, 34447, 518, 16, 1085, 15739, 3255, 16, 428, 16, 3057, 16, 17392, 274, 16, 510, 4725, 5037, 37732, 4944, 26749, 16748, 18, 510, 1782, 16, 1085, 13524, 467, 17191, 16, 12486, 1143, 16, 828, 518, 16, 1085, 13524, 467, 282, 2343, 16, 281, 7426, 20142, 478, 370, 10892, 467, 470, 1143, 861, 7042, 3775, 16, 309, 961, 656, 47736, 16, 1055, 322, 7243, 6225, 16, 4725, 492, 18, 999, 344, 3464, 448, 11009, 21963, 16, 282, 1423, 3678, 16, 11597, 3637, 1175, 2695, 968, 6281, 322, 687, 282, 13441, 16, 45154, 1595, 8275, 16, 515, 289, 282, 37555, 510, 15707, 1617, 18836, 448, 10855, 18, 478, 677, 3805, 510, 2117, 281, 939, 36554, 1875, 4868, 18, 4406, 4966, 7081, 5732, 16, 515, 1381, 28855, 9654, 13839, 5199, 18, 38830, 510, 481, 322, 687, 590, 13090, 10967, 32657, 309, 1360, 2095, 4629, 16, 510, 1109, 8851, 25776, 7597, 334, 26341, 16635, 15330, 46079, 2612, 18, 510, 985, 10128, 282, 30989, 41057, 769, 6300, 23847, 1185, 48, 52, 1624, 3149, 1175, 294, 3203, 1016, 282, 38264, 13494, 3848, 3196, 26446, 16, 367, 322, 9697, 4797, 4004, 18, 7042, 15083, 38264, 428, 17019, 510, 481, 6505, 16, 360, 1660, 1513, 15707, 22945, 289, 27099, 861, 3771, 322, 9225, 27077, 1756, 282, 38264, 16, 2003, 30165, 1450, 16801, 14570, 48059, 16, 3893, 2297, 33940, 10769, 18, 967, 803, 8219, 1855, 3674, 1513, 478, 275, 13839, 8616, 16, 367, 322, 282, 8195, 5842, 29842, 1936, 12890, 289, 7461, 910, 41274, 3064, 46079, 2612, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 34764, 27429, 31089, 7504, 9518, 11338, 478, 27874, 861, 18098, 574, 5793, 281, 18627, 590, 546, 3032, 2756, 6816, 30619, 19869, 16, 21166, 3412, 6816, 7891, 280, 718, 18, 31224, 30, 684, 3425, 728, 4002, 4681, 478, 27874, 470, 309, 34764, 27429, 1559, 541, 5781, 3652, 501, 312, 2294, 828, 17, 299, 4011, 478, 732, 331, 750, 12068, 470, 510, 23356, 11338, 18236, 282, 49983, 529, 609, 8142, 968, 20504, 18, 365, 803, 1045, 27045, 4696, 6353, 48154, 16573, 16, 49338, 496, 2496, 11620, 1051, 8103, 1559, 3720, 35758, 7891, 280, 778, 16, 13479, 21166, 2497, 510, 30866, 30241, 22403, 289, 4210, 4059, 15226, 510, 1272, 779, 9410, 19910, 2566, 5326, 4696, 18, 28413, 1743, 16, 374, 478, 27874, 470, 5092, 726, 2702, 2693, 16, 753, 360, 7525, 506, 23431, 30855, 282, 6003, 24791, 7179, 852, 17, 6047, 669, 22527, 18, 16274, 20673, 10484, 282, 803, 9347, 10867, 16, 3984, 4757, 318, 16, 322, 9002, 364, 18, 42636, 27972, 5948, 281, 36732, 301, 1559, 18407, 6740, 8900, 11303, 33437, 512, 16, 515, 505, 4786, 1273, 86, 86, 23237, 27292, 29960, 764, 519, 25067, 7583, 7475, 11338, 18, 11303, 8103, 17463, 478, 27874, 470, 282, 3106, 16126, 21814, 9269, 5115, 18, 2787, 575, 16, 3147, 7260, 16, 8232, 10212, 41980, 282, 2456, 2343, 629, 44203, 450, 331, 1043, 289, 505, 9404, 478, 1659, 562, 28995, 861, 1397, 5327, 7842, 6367, 16, 502, 30866, 30241, 22403, 473, 293, 18297, 22903, 4183, 8900, 934, 387, 22603, 309, 478, 13762, 45836, 763, 910, 19256, 6097, 15174, 282, 7583, 12810, 16, 367, 4210, 4059, 15226, 473, 1961, 301, 271, 8142, 883, 26006, 2503, 755, 13, 4452, 478, 1567, 9020, 3372, 3583, 470, 282, 7658, 25350, 10181, 292, 18, 6423, 20923, 632, 3588, 756, 477, 3319, 1128, 29615, 758, 531, 551, 17, 551, 440, 2608, 10700, 17, 292, 7219, 2756, 49338, 496, 38365, 16649, 368, 18, 5043, 16, 24150, 478, 21837, 4654, 470, 294, 5750, 3756, 18254, 2458, 322, 4443, 42498, 6367, 16, 3176, 22977, 289, 9645, 11620, 1051, 18, 1665, 289, 2091, 16, 10938, 548, 35065, 15803, 640, 28836, 342, 1624, 1029, 349, 1205, 16, 4426, 9776, 1918, 478, 1182, 511, 1554, 910, 24548, 1190, 10579, 15472, 14439, 16, 5723, 12780, 328, 404, 1779, 1011, 27832, 11338, 478, 33894, 14696, 16, 11245, 268, 861, 23976, 16, 7134, 282, 478, 27874, 263, 470, 9666, 448, 39091, 377, 2899, 16, 3057, 45908, 2910, 2257, 2019, 276, 12952, 16526, 1709, 354, 289, 27165, 332, 7891, 280, 718, 473, 1013, 324, 6816, 18580, 4254, 13, 282, 32626, 4267, 28220, 18, 16102, 282, 4542, 6236, 434, 33678, 49033, 4084, 395, 421, 665, 296, 401, 1624, 21166, 3412, 37026, 439, 877, 3949, 18, 16842, 570, 24808, 538, 382, 1714, 25885, 20142, 15130, 1190, 9814, 40728, 8616, 16, 515, 48947, 800, 16, 9956, 334, 4547, 16, 2709, 17697, 13416, 25327, 542, 16, 1830, 1609, 4084, 395, 3230, 10773, 20703, 18, 365, 44743, 387, 18047, 3720, 18947, 1624, 22293, 1736, 12874, 276, 504, 1154, 324, 18, 1870, 6183, 2234, 5834, 1135, 282, 6003, 8113, 8249, 18042, 937, 18379, 22308, 16, 371, 803, 27678, 519, 21451, 16, 515, 424, 6398, 25469, 16, 4813, 309, 6993, 14393, 14293, 5172, 281, 46835, 3933, 791, 394, 478, 17394, 43201, 1056, 3514, 861, 7100, 16, 27232, 5793, 3424, 2756, 18237, 2016, 7891, 280, 718, 510, 6816, 30619, 19869, 18, 1591, 7422, 5251, 4357, 28220, 678, 497, 555, 367, 5167, 411, 478, 672, 3394, 49316, 29257, 470, 289, 47650, 9090, 1424, 2826, 38577, 289, 939, 8866, 668, 15958, 18, 6193, 8724, 3186, 19664, 5112, 10121, 49321, 285, 1624, 7153, 447, 1779, 27232, 2827, 17913, 360, 7994, 16, 28794, 18607, 5418, 6272, 28240, 14243, 9543, 22937, 17015, 289, 6187, 33048, 565, 20773, 22161, 6370, 2124, 609, 18, 2877, 25682, 8232, 7572, 19963, 309, 10048, 29829, 308, 355, 2266, 350, 17, 1476, 296, 426, 289, 3676, 334, 1175, 18, 10324, 30501, 49321, 285, 3828, 16, 374, 282, 33762, 11258, 2452, 11620, 1051, 3118, 8018, 1463, 18, 2877, 5702, 687, 334, 36773, 12703, 290, 970, 16, 374, 16, 953, 895, 16, 7969, 7193, 289, 349, 23182, 8182, 7221, 4766, 20055, 484, 27133, 6011, 18, 5454, 16, 745, 322, 687, 424, 43404, 22308, 1561, 2234, 34171, 441, 411, 531, 551, 291, 16, 515, 289, 309, 10578, 487, 541, 1129, 3531, 8735, 18, 5043, 16, 481, 656, 28511, 1472, 1248, 1205, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 6035, 17, 15975, 4830, 2407, 6370, 26334, 4848, 16, 374, 4137, 6732, 3619, 4371, 290, 39847, 3808, 14328, 5761, 11854, 4447, 739, 37277, 360, 26205, 18, 20346, 4770, 2815, 16, 374, 478, 404, 1775, 28872, 3402, 470, 281, 4821, 758, 40694, 15373, 3191, 304, 3808, 27233, 455, 5781, 2954, 16, 37621, 282, 4095, 17870, 1816, 43076, 2407, 18, 6732, 5692, 16, 374, 18002 ]
[ 294, 2856, 3014, 749, 8749, 30, 478, 864, 425, 6977, 16, 374, 6696, 910, 510, 5273, 4770, 18, 31224, 30, 677, 32094, 23051, 5809, 18293, 3808, 1340, 390, 2035, 5761, 11854, 23431, 18575, 8561, 2661, 289, 6474, 574, 9164, 24812, 18, 824, 3163, 3781, 17, 38402, 4830, 15803, 26334, 367, 16, 3433, 5825, 23735, 360, 26205, 18, 478, 24124, 5825, 334, 5625, 13652, 21746, 1175, 18, 14501, 16, 3888, 18575, 8561, 394, 12596, 5065, 5998, 16, 7190, 6474, 574, 2794, 7257, 289, 1888, 6431, 18, 9098, 13228, 898, 10750, 6025, 16, 289, 329, 13652, 21746, 16, 8507, 16, 329, 4830, 1542, 5825, 8849, 910, 510, 10824, 26334, 18, 20346, 4137, 6732, 3828, 16, 374, 478, 404, 1775, 28872, 3402, 470, 15373, 3191, 304, 3808, 27233, 455, 7620, 4447, 5781, 739, 37277, 18, 996, 5037, 4000, 17684, 1694, 8840, 24212, 11758, 10712, 9184, 5434, 3018, 473, 5125, 14803, 672, 13, 18083, 9715, 401, 282, 4542, 13516, 6897, 371, 2420, 11186, 334, 22591, 1631, 18, 18580, 4848, 16, 374, 36567, 3247, 36896, 21418, 11854, 371, 3599, 1440, 39018, 18, 478, 3743, 21418, 17, 299, 16, 481, 9089, 16, 510, 2715, 6732, 510, 1012, 5428, 16, 374, 3808, 15834, 6771, 9733, 334, 3025, 4008, 35, 8859, 334, 16323, 739, 2248, 395, 289, 5067, 16, 6232, 17938, 282, 4095, 17870, 1816, 43076, 4433, 4551, 861, 478, 7494, 1247, 510, 1215, 481, 4427, 6977, 35, 17807, 467, 30670, 2482, 289, 27302, 18, 1345, 1574, 1215, 12035, 939, 8214, 17805, 910, 510, 10117, 4770, 18, 817, 5692, 16, 374, 18002, 294, 2856, 1513, 749, 8749, 30, 478, 8244, 30993, 6977, 16, 374, 745, 6696, 16, 367, 656, 2125, 2240, 502, 16, 374, 656, 2125, 861, 9967, 8348, 4830, 13202, 4110, 282, 2231, 399, 19234, 510, 2615, 46984, 7920, 6897, 4551, 334, 25152, 289, 3623, 44760, 19712, 800, 2882, 2815, 16, 374, 3191, 3808, 14328, 5761, 11854, 19423, 478, 3008, 1786, 366, 12764, 1732, 11569, 309, 21290, 470, 281, 5173, 6143, 3808, 14328, 6617, 18, 478, 3096, 8120, 16, 374, 1500, 670, 8496, 739, 2248, 334, 17, 21599, 35765, 309, 3808, 24121, 5472, 18, 18006, 289, 3191, 3808, 14328, 5761, 11854, 16, 37621, 282, 4095, 17870, 1816, 43076, 18, 640, 21290, 475, 13030, 6993, 25642, 864, 7976, 315, 289, 22119, 4973, 12208, 519, 41478, 30, 827, 1588, 14806, 3808, 24121, 5472, 16, 502, 6769, 910, 510, 4848, 35675, 6080, 478, 13261, 861, 817, 4725, 16, 374, 28242, 4830, 1175, 9001, 9620, 639, 478, 19696, 25376, 536, 861, 365, 2343, 4189, 4795, 539, 5447, 10996, 20399, 11673, 15462, 6489, 576, 11389, 309, 11213, 454, 28588, 472, 13628, 510, 10749, 21303, 11854, 49647, 41813, 578, 416, 27140, 18, 15066, 22517, 8501, 685, 3043, 2365, 309, 17292, 28559, 43645, 5410, 19193, 18, 1598, 1047, 9789, 16, 374, 28343, 19336, 7531, 2602, 1912, 28588, 18886, 271, 472, 13628, 16, 1131, 33136, 282, 7446, 19020, 323, 3352, 1631, 16, 367, 1038, 4055, 28588, 281, 2506, 265, 1809, 18874, 16, 5186, 15305, 14343, 622, 42001, 18, 365, 6231, 464, 309, 11213, 454, 685, 1038, 25696, 363, 1817, 12794, 294, 10287, 536, 2921, 21861, 28588, 18, 478, 6039, 24803, 473, 43632, 265, 3050, 18143, 289, 24803, 472, 13628, 13, 2125, 953, 39935, 282, 1175, 329, 49647, 41813, 17108, 18, 19695, 322, 840, 13880, 24803, 21303, 281, 2665, 910, 510, 5542, 49340, 282, 25223, 18, 19634, 4921, 48484, 16, 374, 475, 13726, 6845, 2265, 1453, 24803, 281, 2506, 265, 1809, 11239, 289, 472, 13628, 2125, 953, 37462, 329, 1512, 749, 28564, 16504, 315, 17, 41264, 5434, 14392, 18, 967, 803, 24803, 281, 2506, 265, 1809, 11239, 289, 472, 13628, 44205, 2125, 24488, 702, 6527, 510, 44671, 862, 14874, 697, 360, 4095, 29544, 483, 18, 478, 6039, 24803, 281, 2506, 265, 1809, 11239, 289, 472, 13628, 2125, 19544, 360, 1512, 281, 6815, 6832, 8825, 304, 309, 36988, 16, 4497, 513, 4045, 951, 16, 4497, 513, 4045, 769, 289, 949, 791, 27790, 910, 510, 5130, 282, 16152, 20194, 18, 967, 29860, 28588, 2921, 4961, 1943, 14090, 4371, 290, 2745, 22027, 29544, 298, 30, 474, 16, 10896, 16, 739, 307, 4846, 37128, 16, 39245, 49782, 16, 39892, 5901, 16, 6591, 16, 2205, 16, 39245, 49782, 289, 2393, 5024, 18, 365, 5118, 281, 25237, 20194, 16, 24803, 2125, 953, 41713, 309, 15122, 15462, 282, 36122, 271, 2817, 476, 473, 23739, 17, 5853, 14712, 262, 16, 9822, 562, 13, 282, 3178, 5544, 2868, 281, 6175, 7358, 9410, 9364, 4135, 18, 365, 25223, 322, 5542, 49340, 16, 282, 4700, 9643, 5447, 10996, 20399, 11673, 15462, 840, 3836, 20881, 24803, 10974, 11239, 5781, 2954, 18, 2, 1, 87, 1456, 81, 2448, 30, 618, 14768, 662, 334, 4533, 6216, 44465, 18604, 2712, 6591, 25735, 7219, 309, 2123, 443, 1618, 9, 282, 28731, 1045, 18, 889, 5969, 334, 46564, 30, 17812, 7019, 7043, 10906, 18680, 4186, 16, 17359, 24886, 416, 7811, 349, 21679, 700, 1251, 43991, 7636, 847, 18, 28616, 15833, 16, 374, 18412, 34188, 3895, 520, 9553, 8945, 30, 2834, 50070, 1700, 16, 5186, 7927, 8649, 6591, 22240, 282, 6104, 1045, 16, 18019, 3108, 16, 289, 49098, 726, 322, 6453, 17435, 3674, 4186, 541, 7019, 18, 31224, 30, 9407, 677, 18604, 2712, 6591, 17384, 44465, 282, 5781, 34088, 309, 491, 16, 24, 443, 22, 16, 27, 34278, 2791, 16, 519, 2261, 16, 27, 443, 3902, 16, 29, 34278, 2791, 282, 3734, 1045, 18, 889, 15634, 309, 2123, 443, 1618, 7418, 5130, 282, 23557, 4642, 10015, 18, 478, 822, 3359, 21113, 13494, 31352, 5862, 4004, 289, 14782, 25096, 14042, 539, 15634, 15706, 4186, 289, 24575, 16642, 4999, 34188, 334, 21679, 4304, 910, 510, 24549, 10033, 282, 439, 563, 677, 18, 365, 6104, 1045, 24692, 4076, 4186, 282, 34088, 39826, 309, 491, 16, 24, 34278, 2791, 16, 670, 309, 1939, 7418, 334, 7413, 281, 2734, 1033, 491, 34278, 2791, 282, 4440, 1045, 18, 34821, 4982, 25735, 7219, 12076, 2418, 16, 22, 34278, 2791, 18, 608, 2429, 451, 2205, 3131, 10414, 7540, 473, 17585, 1357, 17384, 44465, 349, 2948, 371, 20821, 7540, 16, 367, 322, 3741, 25735, 7219, 13, 282, 4018, 1045, 30081, 282, 1286, 16, 21, 13064, 434, 12188, 18, 2263, 2435, 771, 10479, 11617, 353, 541, 349, 24573, 567, 8219, 2458, 25735, 5782, 282, 20887, 15101, 360, 10367, 4500, 18, 519, 17427, 4500, 18, 2791, 289, 360, 17427, 4500, 18, 519, 430, 3763, 2791, 18, 9098, 21679, 700, 20299, 309, 3436, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 294, 2856, 3014, 749, 8749, 30, 478, 864, 425, 6977, 16, 374, 6696, 910, 510, 5273, 4770, 18, 31224, 30, 677, 32094, 23051, 5809, 18293, 3808, 1340, 390, 2035, 5761, 11854, 23431, 18575, 8561, 2661, 289, 6474, 574, 9164, 24812, 18, 824, 3163, 3781, 17, 38402, 4830, 15803, 26334, 367, 16, 3433, 5825, 23735, 360, 26205, 18, 478, 24124, 5825, 334, 5625, 13652, 21746, 1175, 18, 14501, 16, 3888, 18575, 8561, 394, 12596, 5065, 5998, 16, 7190, 6474, 574, 2794, 7257, 289, 1888, 6431, 18, 9098, 13228, 898, 10750, 6025, 16, 289, 329, 13652, 21746, 16, 8507, 16, 329, 4830, 1542, 5825, 8849, 910, 510, 10824, 26334, 18, 20346, 4137, 6732, 3828, 16, 374, 478, 404, 1775, 28872, 3402, 470, 15373, 3191, 304, 3808, 27233, 455, 7620, 4447, 5781, 739, 37277, 18, 996, 5037, 4000, 17684, 1694, 8840, 24212, 11758, 10712, 9184, 5434, 3018, 473, 5125, 14803, 672, 13, 18083, 9715, 401, 282, 4542, 13516, 6897, 371, 2420, 11186, 334, 22591, 1631, 18, 18580, 4848, 16, 374, 36567, 3247, 36896, 21418, 11854, 371, 3599, 1440, 39018, 18, 478, 3743, 21418, 17, 299, 16, 481, 9089, 16, 510, 2715, 6732, 510, 1012, 5428, 16, 374, 3808, 15834, 6771, 9733, 334, 3025, 4008, 35, 8859, 334, 16323, 739, 2248, 395, 289, 5067, 16, 6232, 17938, 282, 4095, 17870, 1816, 43076, 4433, 4551, 861, 478, 7494, 1247, 510, 1215, 481, 4427, 6977, 35, 17807, 467, 30670, 2482, 289, 27302, 18, 1345, 1574, 1215, 12035, 939, 8214, 17805, 910, 510, 10117, 4770, 18, 817, 5692, 16, 374, 18002, 294, 2856, 1513, 749, 8749, 30, 478, 8244, 30993, 6977, 16, 374, 745, 6696, 16, 367, 656, 2125, 2240, 502, 16, 374, 656, 2125, 861, 9967, 8348, 4830, 13202, 4110, 282, 2231, 399, 19234, 510, 2615, 46984, 7920, 6897, 4551, 334, 25152, 289, 3623, 44760, 19712, 800, 2882, 2815, 16, 374, 3191, 3808, 14328, 5761, 11854, 19423, 478, 3008, 1786, 366, 12764, 1732, 11569, 309, 21290, 470, 281, 5173, 6143, 3808, 14328, 6617, 18, 478, 3096, 8120, 16, 374, 1500, 670, 8496, 739, 2248, 334, 17, 21599, 35765, 309, 3808, 24121, 5472, 18, 18006, 289, 3191, 3808, 14328, 5761, 11854, 16, 37621, 282, 4095, 17870, 1816, 43076, 18, 640, 21290, 475, 13030, 6993, 25642, 864, 7976, 315, 289, 22119, 4973, 12208, 519, 41478, 30, 827, 1588, 14806, 3808, 24121, 5472, 16, 502, 6769, 910, 510, 4848, 35675, 6080, 478, 13261, 861, 817, 4725, 16, 374, 28242, 4830, 1175, 9001, 9620, 639, 478, 19696, 25376, 536, 861, 365, 2343, 4189, 4795, 539, 5447, 10996, 20399, 11673, 15462, 6489, 576, 11389, 309, 11213, 454, 28588, 472, 13628, 510, 10749, 21303, 11854, 49647, 41813, 578, 416, 27140, 18, 15066, 22517, 8501, 685, 3043, 2365, 309, 17292, 28559, 43645, 5410, 19193, 18, 1598, 1047, 9789, 16, 374, 28343, 19336, 7531, 2602, 1912, 28588, 18886, 271, 472, 13628, 16, 1131, 33136, 282, 7446, 19020, 323, 3352, 1631, 16, 367, 1038, 4055, 28588, 281, 2506, 265, 1809, 18874, 16, 5186, 15305, 14343, 622, 42001, 18, 365, 6231, 464, 309, 11213, 454, 685, 1038, 25696, 363, 1817, 12794, 294, 10287, 536, 2921, 21861, 28588, 18, 478, 6039, 24803, 473, 43632, 265, 3050, 18143, 289, 24803, 472, 13628, 13, 2125, 953, 39935, 282, 1175, 329, 49647, 41813, 17108, 18, 19695, 322, 840, 13880, 24803, 21303, 281, 2665, 910, 510, 5542, 49340, 282, 25223, 18, 19634, 4921, 48484, 16, 374, 475, 13726, 6845, 2265, 1453, 24803, 281, 2506, 265, 1809, 11239, 289, 472, 13628, 2125, 953, 37462, 329, 1512, 749, 28564, 16504, 315, 17, 41264, 5434, 14392, 18, 967, 803, 24803, 281, 2506, 265, 1809, 11239, 289, 472, 13628, 44205, 2125, 24488, 702, 6527, 510, 44671, 862, 14874, 697, 360, 4095, 29544, 483, 18, 478, 6039, 24803, 281, 2506, 265, 1809, 11239, 289, 472, 13628, 2125, 19544, 360, 1512, 281, 6815, 6832, 8825, 304, 309, 36988, 16, 4497, 513, 4045, 951, 16, 4497, 513, 4045, 769, 289, 949, 791, 27790, 910, 510, 5130, 282, 16152, 20194, 18, 967, 29860, 28588, 2921, 4961, 1943, 14090, 4371, 290, 2745, 22027, 29544, 298, 30, 474, 16, 10896, 16, 739, 307, 4846, 37128, 16, 39245, 49782, 16, 39892, 5901, 16, 6591, 16, 2205, 16, 39245, 49782, 289, 2393, 5024, 18, 365, 5118, 281, 25237, 20194, 16, 24803, 2125, 953, 41713, 309, 15122, 15462, 282, 36122, 271, 2817, 476, 473, 23739, 17, 5853, 14712, 262, 16, 9822, 562, 13, 282, 3178, 5544, 2868, 281, 6175, 7358, 9410, 9364, 4135, 18, 365, 25223, 322, 5542, 49340, 16, 282, 4700, 9643, 5447, 10996, 20399, 11673, 15462, 840, 3836, 20881, 24803, 10974, 11239, 5781, 2954, 18, 2, 1, 87, 1456, 81, 2448, 30, 618, 14768, 662, 334, 4533, 6216, 44465, 18604, 2712, 6591, 25735, 7219, 309, 2123, 443, 1618, 9, 282, 28731, 1045, 18, 889, 5969, 334, 46564, 30, 17812, 7019, 7043, 10906, 18680, 4186, 16, 17359, 24886, 416, 7811, 349, 21679, 700, 1251, 43991, 7636, 847, 18, 28616, 15833, 16, 374, 18412, 34188, 3895, 520, 9553, 8945, 30, 2834, 50070, 1700, 16, 5186, 7927, 8649, 6591, 22240, 282, 6104, 1045, 16, 18019, 3108, 16, 289, 49098, 726, 322, 6453, 17435, 3674, 4186, 541, 7019, 18, 31224, 30, 9407, 677, 18604, 2712, 6591, 17384, 44465, 282, 5781, 34088, 309, 491, 16, 24, 443, 22, 16, 27, 34278, 2791, 16, 519, 2261, 16, 27, 443, 3902, 16, 29, 34278, 2791, 282, 3734, 1045, 18, 889, 15634, 309, 2123, 443, 1618, 7418, 5130, 282, 23557, 4642, 10015, 18, 478, 822, 3359, 21113, 13494, 31352, 5862, 4004, 289, 14782, 25096, 14042, 539, 15634, 15706, 4186, 289, 24575, 16642, 4999, 34188, 334, 21679, 4304, 910, 510, 24549, 10033, 282, 439, 563, 677, 18, 365, 6104, 1045, 24692, 4076, 4186, 282, 34088, 39826, 309, 491, 16, 24, 34278, 2791, 16, 670, 309, 1939, 7418, 334, 7413, 281, 2734, 1033, 491, 34278, 2791, 282, 4440, 1045, 18, 34821, 4982, 25735, 7219, 12076, 2418, 16, 22, 34278, 2791, 18, 608, 2429, 451, 2205, 3131, 10414, 7540, 473, 17585, 1357, 17384, 44465, 349, 2948, 371, 20821, 7540, 16, 367, 322, 3741, 25735, 7219, 13, 282, 4018, 1045, 30081, 282, 1286, 16, 21, 13064, 434, 12188, 18, 2263, 2435, 771, 10479, 11617, 353, 541, 349, 24573, 567, 8219, 2458, 25735, 5782, 282, 20887, 15101, 360, 10367, 4500, 18, 519, 17427, 4500, 18, 2791, 289, 360, 17427, 4500, 18, 519, 430, 3763, 2791, 18, 9098, 21679, 700, 20299, 309, 3436, 16 ]
[ 21, 9, 334, 23386, 289, 309, 3436, 9, 289, 3436, 16, 29, 9, 334, 20919, 25736, 8774, 18, 365, 9220, 2529, 1045, 4424, 3945, 1323, 1820, 539, 36524, 282, 9240, 582, 349, 33649, 3314, 289, 3498, 33649, 3314, 44465, 16, 15833, 282, 439, 563, 677, 18, 478, 4441, 9245, 281, 34727, 3043, 9125, 309, 5814, 26814, 486, 5418, 13675, 712, 309, 11103, 1731, 16, 5186, 2339, 1658, 16, 21, 9, 1223, 371, 20821, 44465, 910, 510, 32039, 45982, 282, 4454, 1207, 18, 640, 6398, 779, 4982, 4076, 16, 3043, 11504, 282, 1967, 13675, 2662, 16, 12076, 3405, 27, 16, 24, 5096, 2791, 16, 43009, 6591, 1715, 282, 1939, 445, 16, 281, 2287, 16, 25, 5096, 2791, 282, 4440, 1045, 18, 2667, 978, 16, 7415, 16, 41194, 24560, 45336, 282, 46630, 30, 453, 16, 282, 4440, 1045, 697, 4982, 5914, 14572, 309, 491, 16, 25, 5096, 2791, 16, 282, 4479, 17, 277, 510, 309, 430, 16, 25, 5096, 2791, 18, 25244, 1992, 6591, 7043, 26814, 486, 5418, 13675, 712, 473, 32278, 30137, 18314, 282, 6104, 1045, 2341, 3389, 1176, 48604, 1624, 1029, 11091, 36675, 5096, 2791, 18, 16739, 423, 486, 7870, 17359, 4186, 282, 6104, 1045, 906, 3230, 16, 828, 282, 4440, 1045, 16, 11466, 1867, 282, 439, 563, 677, 18, 19591, 44465, 282, 10841, 2884, 315, 6914, 4018, 779, 282, 11099, 25607, 1032, 16, 27, 5096, 2791, 282, 1119, 473, 29172, 6240, 2325, 416, 48950, 349, 41139, 2849, 6705, 779, 510, 816, 16, 27, 5096, 2791, 814, 10477, 3774, 14909, 282, 439, 563, 677, 32039, 18183, 15706, 4186, 16, 40217, 13064, 432, 34188, 289, 20213, 45894, 2206, 18, 1192, 307, 1917, 9851, 13064, 432, 34188, 16, 1029, 439, 563, 677, 12715, 334, 3609, 17, 10590, 3938, 24620, 6802, 16, 7846, 374, 20391, 411, 1129, 334, 8872, 4018, 779, 2961, 2385, 16125, 334, 21679, 4304, 18, 365, 2287, 34088, 16125, 3585, 19255, 18, 32779, 27200, 334, 1671, 426, 3259, 1205, 2509, 21679, 4304, 282, 9802, 17427, 4500, 18, 2791, 18814, 309, 2239, 16, 29, 279, 18, 293, 2211, 519, 1658, 16, 27, 5999, 478, 677, 3178, 1223, 4018, 779, 3085, 18756, 1713, 7124, 30516, 4388, 622, 334, 1671, 426, 3259, 50119, 395, 309, 491, 443, 24, 279, 18, 293, 18, 3230, 4999, 29251, 910, 510, 45691, 282, 439, 563, 677, 18, 824, 25036, 10015, 16, 1713, 7124, 4388, 622, 3085, 9496, 289, 282, 3734, 1045, 18, 365, 12354, 25170, 1087, 6838, 382, 510, 48604, 289, 28737, 510, 281, 23511, 304, 282, 1293, 3139, 19645, 290, 35885, 34188, 334, 50119, 395, 15570, 1562, 18, 2450, 6838, 382, 898, 20693, 465, 4857, 30, 764, 282, 11872, 3333, 10933, 25727, 10902, 411, 17, 431, 33923, 24998, 4076, 309, 5814, 33890, 4110, 13375, 349, 3674, 4186, 18, 5585, 23992, 6802, 2382, 18756, 4450, 23472, 45958, 617, 289, 27653, 4729, 6802, 309, 8275, 44689, 17, 50070, 1237, 16, 2536, 4990, 10931, 541, 3281, 18, 14427, 46038, 8709, 1021, 55, 11539, 334, 1175, 289, 16879, 3720, 38546, 20427, 16, 374, 13064, 549, 27200, 334, 50119, 395, 14145, 3585, 11120, 477, 6740, 27068, 746, 18, 478, 563, 307, 3173, 14864, 428, 411, 17, 431, 18019, 917, 29251, 16, 453, 289, 282, 2630, 281, 5914, 9594, 24886, 416, 7811, 6802, 349, 25735, 5782, 18, 3557, 1923, 7019, 2834, 50070, 1237, 3585, 30990, 16, 481, 17650, 294, 5914, 8608, 24786, 349, 3674, 4186, 541, 4328, 488, 2682, 34818, 910, 510, 18590, 46038, 18, 365, 4454, 1207, 10750, 4110, 16, 374, 282, 2343, 779, 10902, 5684, 12356, 39271, 5096, 2791, 16, 374, 1271, 857, 4519, 451, 15513, 4440, 779, 510, 17427, 5096, 2791, 18, 740, 6591, 26814, 486, 4946, 14822, 294, 9747, 779, 10343, 400, 2712, 281, 30313, 33795, 304, 34818, 282, 20142, 478, 560, 6639, 509, 470, 529, 609, 8142, 883, 9518, 18, 5161, 16, 32849, 23429, 30014, 37159, 39826, 687, 309, 430, 16, 29, 7418, 519, 491, 16, 25, 34278, 2791, 16, 1279, 7019, 309, 1286, 16, 22, 9, 282, 11023, 4440, 779, 18, 41143, 29240, 6711, 9910, 2357, 7043, 1011, 4317, 17, 45900, 434, 7019, 282, 3178, 779, 289, 1033, 4850, 451, 3149, 6802, 294, 6841, 395, 371, 15645, 23232, 5363, 16, 25341, 41330, 2241, 478, 21751, 1452, 273, 470, 9409, 4377, 12434, 18, 42220, 3173, 867, 3899, 7019, 473, 275, 5254, 291, 13, 282, 3734, 1045, 45396, 262, 16, 5273, 6370, 40919, 13958, 6235, 411, 16986, 3281, 18, 478, 13571, 23906, 4186, 20322, 939, 4300, 510, 281, 1660, 373, 26814, 4694, 5433, 510, 11789, 5770, 2712, 492, 18, 365, 5329, 282, 371, 331, 843, 25735, 7219, 475, 6335, 12237, 21860, 36846, 334, 49509, 21679, 4304, 16, 367, 322, 6591, 4676, 10528, 16, 3973, 38546, 18, 740, 6295, 281, 45958, 1330, 282, 28731, 1045, 8633, 33241, 30, 7019, 24008, 14822, 322, 36121, 847, 16, 367, 2270, 7796, 23271, 424, 11616, 16, 17857, 1829, 40919, 13958, 6235, 18, 2949, 924, 16, 282, 4190, 22996, 49061, 13756, 4487, 1901, 34188, 334, 21679, 4304, 4186, 35067, 363, 635, 10902, 10906, 1143, 3145, 27987, 349, 7341, 6676, 25735, 5782, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 566, 742, 367, 419, 3141, 718, 478, 12003, 394, 507, 470, 4944, 37827, 27551, 1011, 14248, 360, 18164, 478, 13781, 470, 49756, 309, 17336, 18, 439, 579, 23642, 22095, 17, 18967, 770, 7974, 3261, 1020, 34066, 290, 4096, 281, 19671, 628, 6907, 339, 4059, 12248, 16, 1881, 5583, 34840, 282, 5572, 29235, 16, 289, 290, 32942, 14236, 282, 5271, 5251, 718, 49353, 26250, 2333, 46404, 18, 31224, 30, 32263, 9680, 367, 419, 3141, 718, 478, 12003, 394, 507, 470, 4944, 37827, 27551, 1011, 14248, 360, 478, 13781, 470, 473, 21, 30, 23, 13, 282, 8267, 32671, 7561, 28604, 4255, 1475, 309, 6510, 1545, 17336, 289, 21828, 18, 478, 30978, 4627, 12518, 478, 13781, 470, 281, 25771, 16, 510, 1109, 8851, 38331, 22095, 17, 18967, 770, 18, 510, 1787, 813, 481, 685, 17442, 10133, 18, 1345, 23156, 7799, 4220, 16, 2391, 329, 813, 322, 28009, 2117, 282, 31277, 289, 2805, 282, 11063, 18, 981, 289, 3196, 324, 442, 6871, 305, 18, 4794, 1272, 47906, 16, 785, 40211, 15277, 919, 16, 3118, 8625, 414, 6633, 5199, 18, 3923, 16, 19923, 6566, 22912, 30556, 322, 895, 322, 1777, 506, 309, 3198, 289, 3106, 4466, 18, 1397, 393, 16, 3984, 3624, 18, 510, 25582, 24654, 478, 13781, 470, 3525, 9858, 290, 360, 33146, 1672, 16, 2486 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9, 334, 23386, 289, 309, 3436, 9, 289, 3436, 16, 29, 9, 334, 20919, 25736, 8774, 18, 365, 9220, 2529, 1045, 4424, 3945, 1323, 1820, 539, 36524, 282, 9240, 582, 349, 33649, 3314, 289, 3498, 33649, 3314, 44465, 16, 15833, 282, 439, 563, 677, 18, 478, 4441, 9245, 281, 34727, 3043, 9125, 309, 5814, 26814, 486, 5418, 13675, 712, 309, 11103, 1731, 16, 5186, 2339, 1658, 16, 21, 9, 1223, 371, 20821, 44465, 910, 510, 32039, 45982, 282, 4454, 1207, 18, 640, 6398, 779, 4982, 4076, 16, 3043, 11504, 282, 1967, 13675, 2662, 16, 12076, 3405, 27, 16, 24, 5096, 2791, 16, 43009, 6591, 1715, 282, 1939, 445, 16, 281, 2287, 16, 25, 5096, 2791, 282, 4440, 1045, 18, 2667, 978, 16, 7415, 16, 41194, 24560, 45336, 282, 46630, 30, 453, 16, 282, 4440, 1045, 697, 4982, 5914, 14572, 309, 491, 16, 25, 5096, 2791, 16, 282, 4479, 17, 277, 510, 309, 430, 16, 25, 5096, 2791, 18, 25244, 1992, 6591, 7043, 26814, 486, 5418, 13675, 712, 473, 32278, 30137, 18314, 282, 6104, 1045, 2341, 3389, 1176, 48604, 1624, 1029, 11091, 36675, 5096, 2791, 18, 16739, 423, 486, 7870, 17359, 4186, 282, 6104, 1045, 906, 3230, 16, 828, 282, 4440, 1045, 16, 11466, 1867, 282, 439, 563, 677, 18, 19591, 44465, 282, 10841, 2884, 315, 6914, 4018, 779, 282, 11099, 25607, 1032, 16, 27, 5096, 2791, 282, 1119, 473, 29172, 6240, 2325, 416, 48950, 349, 41139, 2849, 6705, 779, 510, 816, 16, 27, 5096, 2791, 814, 10477, 3774, 14909, 282, 439, 563, 677, 32039, 18183, 15706, 4186, 16, 40217, 13064, 432, 34188, 289, 20213, 45894, 2206, 18, 1192, 307, 1917, 9851, 13064, 432, 34188, 16, 1029, 439, 563, 677, 12715, 334, 3609, 17, 10590, 3938, 24620, 6802, 16, 7846, 374, 20391, 411, 1129, 334, 8872, 4018, 779, 2961, 2385, 16125, 334, 21679, 4304, 18, 365, 2287, 34088, 16125, 3585, 19255, 18, 32779, 27200, 334, 1671, 426, 3259, 1205, 2509, 21679, 4304, 282, 9802, 17427, 4500, 18, 2791, 18814, 309, 2239, 16, 29, 279, 18, 293, 2211, 519, 1658, 16, 27, 5999, 478, 677, 3178, 1223, 4018, 779, 3085, 18756, 1713, 7124, 30516, 4388, 622, 334, 1671, 426, 3259, 50119, 395, 309, 491, 443, 24, 279, 18, 293, 18, 3230, 4999, 29251, 910, 510, 45691, 282, 439, 563, 677, 18, 824, 25036, 10015, 16, 1713, 7124, 4388, 622, 3085, 9496, 289, 282, 3734, 1045, 18, 365, 12354, 25170, 1087, 6838, 382, 510, 48604, 289, 28737, 510, 281, 23511, 304, 282, 1293, 3139, 19645, 290, 35885, 34188, 334, 50119, 395, 15570, 1562, 18, 2450, 6838, 382, 898, 20693, 465, 4857, 30, 764, 282, 11872, 3333, 10933, 25727, 10902, 411, 17, 431, 33923, 24998, 4076, 309, 5814, 33890, 4110, 13375, 349, 3674, 4186, 18, 5585, 23992, 6802, 2382, 18756, 4450, 23472, 45958, 617, 289, 27653, 4729, 6802, 309, 8275, 44689, 17, 50070, 1237, 16, 2536, 4990, 10931, 541, 3281, 18, 14427, 46038, 8709, 1021, 55, 11539, 334, 1175, 289, 16879, 3720, 38546, 20427, 16, 374, 13064, 549, 27200, 334, 50119, 395, 14145, 3585, 11120, 477, 6740, 27068, 746, 18, 478, 563, 307, 3173, 14864, 428, 411, 17, 431, 18019, 917, 29251, 16, 453, 289, 282, 2630, 281, 5914, 9594, 24886, 416, 7811, 6802, 349, 25735, 5782, 18, 3557, 1923, 7019, 2834, 50070, 1237, 3585, 30990, 16, 481, 17650, 294, 5914, 8608, 24786, 349, 3674, 4186, 541, 4328, 488, 2682, 34818, 910, 510, 18590, 46038, 18, 365, 4454, 1207, 10750, 4110, 16, 374, 282, 2343, 779, 10902, 5684, 12356, 39271, 5096, 2791, 16, 374, 1271, 857, 4519, 451, 15513, 4440, 779, 510, 17427, 5096, 2791, 18, 740, 6591, 26814, 486, 4946, 14822, 294, 9747, 779, 10343, 400, 2712, 281, 30313, 33795, 304, 34818, 282, 20142, 478, 560, 6639, 509, 470, 529, 609, 8142, 883, 9518, 18, 5161, 16, 32849, 23429, 30014, 37159, 39826, 687, 309, 430, 16, 29, 7418, 519, 491, 16, 25, 34278, 2791, 16, 1279, 7019, 309, 1286, 16, 22, 9, 282, 11023, 4440, 779, 18, 41143, 29240, 6711, 9910, 2357, 7043, 1011, 4317, 17, 45900, 434, 7019, 282, 3178, 779, 289, 1033, 4850, 451, 3149, 6802, 294, 6841, 395, 371, 15645, 23232, 5363, 16, 25341, 41330, 2241, 478, 21751, 1452, 273, 470, 9409, 4377, 12434, 18, 42220, 3173, 867, 3899, 7019, 473, 275, 5254, 291, 13, 282, 3734, 1045, 45396, 262, 16, 5273, 6370, 40919, 13958, 6235, 411, 16986, 3281, 18, 478, 13571, 23906, 4186, 20322, 939, 4300, 510, 281, 1660, 373, 26814, 4694, 5433, 510, 11789, 5770, 2712, 492, 18, 365, 5329, 282, 371, 331, 843, 25735, 7219, 475, 6335, 12237, 21860, 36846, 334, 49509, 21679, 4304, 16, 367, 322, 6591, 4676, 10528, 16, 3973, 38546, 18, 740, 6295, 281, 45958, 1330, 282, 28731, 1045, 8633, 33241, 30, 7019, 24008, 14822, 322, 36121, 847, 16, 367, 2270, 7796, 23271, 424, 11616, 16, 17857, 1829, 40919, 13958, 6235, 18, 2949, 924, 16, 282, 4190, 22996, 49061, 13756, 4487, 1901, 34188, 334, 21679, 4304, 4186, 35067, 363, 635, 10902, 10906, 1143, 3145, 27987, 349, 7341, 6676, 25735, 5782, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 566, 742, 367, 419, 3141, 718, 478, 12003, 394, 507, 470, 4944, 37827, 27551, 1011, 14248, 360, 18164, 478, 13781, 470, 49756, 309, 17336, 18, 439, 579, 23642, 22095, 17, 18967, 770, 7974, 3261, 1020, 34066, 290, 4096, 281, 19671, 628, 6907, 339, 4059, 12248, 16, 1881, 5583, 34840, 282, 5572, 29235, 16, 289, 290, 32942, 14236, 282, 5271, 5251, 718, 49353, 26250, 2333, 46404, 18, 31224, 30, 32263, 9680, 367, 419, 3141, 718, 478, 12003, 394, 507, 470, 4944, 37827, 27551, 1011, 14248, 360, 478, 13781, 470, 473, 21, 30, 23, 13, 282, 8267, 32671, 7561, 28604, 4255, 1475, 309, 6510, 1545, 17336, 289, 21828, 18, 478, 30978, 4627, 12518, 478, 13781, 470, 281, 25771, 16, 510, 1109, 8851, 38331, 22095, 17, 18967, 770, 18, 510, 1787, 813, 481, 685, 17442, 10133, 18, 1345, 23156, 7799, 4220, 16, 2391, 329, 813, 322, 28009, 2117, 282, 31277, 289, 2805, 282, 11063, 18, 981, 289, 3196, 324, 442, 6871, 305, 18, 4794, 1272, 47906, 16, 785, 40211, 15277, 919, 16, 3118, 8625, 414, 6633, 5199, 18, 3923, 16, 19923, 6566, 22912, 30556, 322, 895, 322, 1777, 506, 309, 3198, 289, 3106, 4466, 18, 1397, 393, 16, 3984, 3624, 18, 510, 25582, 24654, 478, 13781, 470, 3525, 9858, 290, 360, 33146, 1672, 16, 2486 ]
[ 387, 6450, 4110, 35, 510, 889, 322, 478, 13781, 910, 367, 768, 684, 8231, 18, 996, 615, 2694, 6106, 18, 1303, 17, 2767, 3716, 1992, 2452, 768, 684, 8231, 9988, 1336, 18, 2877, 481, 415, 1916, 684, 478, 13781, 861, 510, 439, 415, 1916, 684, 478, 13781, 470, 7081, 3217, 4966, 16, 2588, 387, 8022, 6355, 35, 510, 43471, 356, 25562, 5, 14427, 9680, 18164, 478, 13781, 470, 7974, 3261, 1020, 1320, 49756, 309, 3860, 281, 32387, 18, 478, 4348, 14877, 2388, 575, 3860, 16, 428, 289, 478, 12003, 394, 267, 11593, 329, 813, 1320, 939, 1269, 34698, 5856, 18, 4338, 3534, 21166, 2497, 1904, 26308, 18, 23578, 3457, 475, 9588, 18, 31577, 695, 45468, 18, 651, 15827, 3081, 324, 29557, 4059, 3340, 11331, 651, 11066, 774, 34544, 1033, 670, 2619, 3371, 18, 510, 3654, 322, 11347, 26250, 2333, 4929, 35, 510, 439, 329, 1047, 1320, 29557, 18, 832, 639, 9084, 13449, 505, 16, 3387, 281, 7519, 979, 492, 20727, 764, 281, 478, 4298, 297, 932, 470, 289, 322, 7846, 1360, 4466, 18, 7132, 49682, 1631, 16, 1696, 281, 13403, 4857, 329, 813, 1003, 1791, 16, 1660, 322, 14717, 290, 4096, 281, 2985, 3317, 18, 510, 640, 45546, 4137, 3584, 1219, 609, 1624, 1029, 1055, 9988, 309, 6688, 28253, 16, 36927, 13437, 282, 7252, 8267, 18, 3249, 16, 505, 7146, 282, 25152, 35, 510, 1178, 6714, 49353, 8658, 282, 10720, 16, 502, 492, 840, 8714, 322, 8351, 26188, 18, 817, 895, 289, 371, 6424, 16, 289, 23382, 2048, 16, 289, 2615, 9871, 11022, 18, 18674, 16, 475, 502, 16, 374, 39870, 5482, 915, 1353, 4304, 18, 12280, 8097, 16, 374, 4137, 1038, 16480, 8302, 16, 749, 851, 2516, 18, 769, 4778, 16264, 289, 9211, 3746, 16287, 942, 16228, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 1098, 12397, 14118, 4944, 34858, 32813, 1011, 2271, 1734, 9764, 10078, 17, 440, 1608, 282, 5572, 37131, 4357, 8267, 1764, 13295, 607, 1195, 478, 983, 696, 807, 262, 470, 4848, 290, 970, 16, 2006, 7732, 13004, 2756, 1574, 17971, 541, 17701, 16, 367, 1038, 4725, 16, 374, 322, 14370, 811, 334, 5083, 3982, 6896, 432, 15825, 3417, 12994, 18, 31224, 30, 384, 3654, 453, 29833, 541, 14118, 8056, 5487, 1871, 23523, 7977, 35, 510, 478, 983, 696, 807, 262, 470, 510, 939, 12031, 7193, 18, 608, 1129, 912, 32937, 21188, 16, 5358, 2508, 282, 1678, 7483, 47192, 5538, 289, 2390, 1733, 25170, 3191, 448, 18, 1606, 6597, 16, 428, 6281, 282, 20113, 11142, 18, 2465, 3073, 16, 656, 475, 6547, 4927, 16, 411, 1024, 16227, 21755, 16, 3717, 2061, 275, 975, 281, 5606, 1879, 40319, 14377, 451, 20113, 11142, 18, 1591, 2992, 11053, 329, 1129, 726, 322, 5290, 1333, 18, 510, 2787, 912, 16, 14118, 282, 4056, 11053, 11347, 281, 7739, 2409, 282, 22448, 17, 918, 2300, 35, 510, 2387, 18, 5005, 2759, 16213, 639, 9823, 387, 1024, 5466, 21755, 16, 374, 329, 813, 289, 7820, 18, 9603, 16210, 668, 10720, 656, 8753, 2853, 34727, 6641, 979, 18, 510, 3557, 322, 2619, 16, 387, 45337, 1269, 40211, 282, 4056, 11053, 18, 1397, 17, 299, 9680, 334, 2856, 5083, 3153, 282, 34979, 546, 35, 510, 981, 18, 740, 1373, 1743, 764, 282, 970, 16, 374, 329, 8814, 1275, 639, 2410, 1269, 24998, 4744, 2449, 18, 1345, 21689, 18456, 887, 424, 33649, 761, 16, 32713, 13581, 702, 6527, 510, 1174, 2853, 12525, 309, 4313, 5939, 18, 17974, 42262, 10660, 29497, 18, 3575, 2458, 8714, 1649, 26430, 16, 12497, 874, 4698, 22447, 18, 459, 475, 2438, 2470, 506, 18, 510, 1563, 1979, 329, 1304, 424, 21019, 473, 34858, 32813, 4223, 411, 43813, 382, 281, 20641, 5708, 13098, 4275, 274, 635, 6778, 510, 481, 13391, 14377, 416, 4466, 35, 510, 6490, 19013, 473, 22593, 17014, 10118, 16, 374, 481, 3964, 360, 6786, 18, 889, 3240, 4836, 18, 510, 985, 21082, 10408, 4116, 36728, 8955, 289, 26236, 294, 13420, 9547, 35, 510, 7937, 377, 3248, 2567, 16287, 282, 970, 16, 374, 322, 4748, 16, 281, 4080, 12932, 694, 21035, 18, 18110, 2236, 26654, 14125, 16, 753, 27714, 3411, 271, 282, 7756, 18, 2876, 656, 3984, 281, 867, 575, 4195, 339, 26236, 289, 437, 29777, 2384, 1616, 37131, 455, 18, 510, 28865, 1952, 14118, 282, 5462, 582, 7977, 9903, 414, 16, 367, 22051, 453, 289, 322, 349, 7954, 3417, 12994, 16, 290, 1639, 24581, 42215, 18, 1367, 24047, 35, 510, 40765, 1003, 18, 1345, 322, 10025, 26087, 294, 11529, 4304, 282, 12994, 304, 9347, 18, 640, 2218, 2193, 16, 2117, 906, 939, 14157, 289, 749, 978, 478, 285, 380, 837, 861, 510, 5621, 48115, 42262, 334, 23708, 1918, 14903, 282, 21555, 478, 672, 2334, 3949, 931, 397, 470, 510, 478, 18635, 343, 818, 861, 4802, 927, 349, 1335, 27883, 35, 510, 13191, 870, 4966, 43846, 18, 889, 32937, 4150, 6773, 16, 961, 12596, 282, 3800, 1272, 34594, 17799, 18, 14445, 1215, 478, 18635, 343, 818, 470, 2734, 322, 281, 9262, 27534, 478, 12775, 262, 910, 6934, 1574, 2948, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 14118, 651, 478, 983, 696, 807, 262, 861, 6019, 1764, 13295, 607, 16, 14378, 30891, 16, 42620, 18389, 28737, 289, 7457, 4753, 942, 4897, 309, 7759, 28915, 11536, 2297, 1020, 643, 523, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 18869, 5132, 41325, 289, 37965, 10296, 14429, 1175, 1143, 322, 8070, 3624, 282, 10830, 7491, 5418, 8189, 1751, 18, 9857, 3003, 5962, 282, 11946, 36153, 18, 3266, 1703, 31870, 12253, 1437, 2955, 35212, 289, 30546, 282, 8362, 16, 289, 28123, 334, 1420, 16, 367, 34658, 510, 942, 16, 29039, 14697, 18, 31224, 30, 2176, 11073, 4329, 3394, 6005, 8904, 282, 11946, 639, 7239, 20321, 290, 14914, 7025, 7431, 1810, 10830, 35581, 309, 10296, 11630, 16934, 282, 11023, 4440, 17, 361, 289, 4830, 2407, 282, 11500, 4018, 17, 361, 18, 41186, 11534, 3953, 14074, 5998, 35581, 16, 961, 289, 749, 924, 1698, 18291, 282, 6551, 687, 334, 4292, 8608, 36153, 18, 478, 732, 315, 1663, 536, 2586, 22288, 322, 895, 953, 16, 428, 36366, 282, 2759, 15361, 16, 17642, 2407, 910, 510, 15875, 6080, 478, 13261, 470, 17916, 36153, 29816, 272, 13564, 483, 888, 1624, 387, 2556, 7314, 309, 11073, 8424, 282, 11946, 18, 365, 803, 25223, 9326, 35581, 1038, 3215, 9211, 16799, 318, 18, 1606, 19763, 2990, 12741, 349, 35854, 304, 12607, 289, 46197, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 387, 6450, 4110, 35, 510, 889, 322, 478, 13781, 910, 367, 768, 684, 8231, 18, 996, 615, 2694, 6106, 18, 1303, 17, 2767, 3716, 1992, 2452, 768, 684, 8231, 9988, 1336, 18, 2877, 481, 415, 1916, 684, 478, 13781, 861, 510, 439, 415, 1916, 684, 478, 13781, 470, 7081, 3217, 4966, 16, 2588, 387, 8022, 6355, 35, 510, 43471, 356, 25562, 5, 14427, 9680, 18164, 478, 13781, 470, 7974, 3261, 1020, 1320, 49756, 309, 3860, 281, 32387, 18, 478, 4348, 14877, 2388, 575, 3860, 16, 428, 289, 478, 12003, 394, 267, 11593, 329, 813, 1320, 939, 1269, 34698, 5856, 18, 4338, 3534, 21166, 2497, 1904, 26308, 18, 23578, 3457, 475, 9588, 18, 31577, 695, 45468, 18, 651, 15827, 3081, 324, 29557, 4059, 3340, 11331, 651, 11066, 774, 34544, 1033, 670, 2619, 3371, 18, 510, 3654, 322, 11347, 26250, 2333, 4929, 35, 510, 439, 329, 1047, 1320, 29557, 18, 832, 639, 9084, 13449, 505, 16, 3387, 281, 7519, 979, 492, 20727, 764, 281, 478, 4298, 297, 932, 470, 289, 322, 7846, 1360, 4466, 18, 7132, 49682, 1631, 16, 1696, 281, 13403, 4857, 329, 813, 1003, 1791, 16, 1660, 322, 14717, 290, 4096, 281, 2985, 3317, 18, 510, 640, 45546, 4137, 3584, 1219, 609, 1624, 1029, 1055, 9988, 309, 6688, 28253, 16, 36927, 13437, 282, 7252, 8267, 18, 3249, 16, 505, 7146, 282, 25152, 35, 510, 1178, 6714, 49353, 8658, 282, 10720, 16, 502, 492, 840, 8714, 322, 8351, 26188, 18, 817, 895, 289, 371, 6424, 16, 289, 23382, 2048, 16, 289, 2615, 9871, 11022, 18, 18674, 16, 475, 502, 16, 374, 39870, 5482, 915, 1353, 4304, 18, 12280, 8097, 16, 374, 4137, 1038, 16480, 8302, 16, 749, 851, 2516, 18, 769, 4778, 16264, 289, 9211, 3746, 16287, 942, 16228, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 1098, 12397, 14118, 4944, 34858, 32813, 1011, 2271, 1734, 9764, 10078, 17, 440, 1608, 282, 5572, 37131, 4357, 8267, 1764, 13295, 607, 1195, 478, 983, 696, 807, 262, 470, 4848, 290, 970, 16, 2006, 7732, 13004, 2756, 1574, 17971, 541, 17701, 16, 367, 1038, 4725, 16, 374, 322, 14370, 811, 334, 5083, 3982, 6896, 432, 15825, 3417, 12994, 18, 31224, 30, 384, 3654, 453, 29833, 541, 14118, 8056, 5487, 1871, 23523, 7977, 35, 510, 478, 983, 696, 807, 262, 470, 510, 939, 12031, 7193, 18, 608, 1129, 912, 32937, 21188, 16, 5358, 2508, 282, 1678, 7483, 47192, 5538, 289, 2390, 1733, 25170, 3191, 448, 18, 1606, 6597, 16, 428, 6281, 282, 20113, 11142, 18, 2465, 3073, 16, 656, 475, 6547, 4927, 16, 411, 1024, 16227, 21755, 16, 3717, 2061, 275, 975, 281, 5606, 1879, 40319, 14377, 451, 20113, 11142, 18, 1591, 2992, 11053, 329, 1129, 726, 322, 5290, 1333, 18, 510, 2787, 912, 16, 14118, 282, 4056, 11053, 11347, 281, 7739, 2409, 282, 22448, 17, 918, 2300, 35, 510, 2387, 18, 5005, 2759, 16213, 639, 9823, 387, 1024, 5466, 21755, 16, 374, 329, 813, 289, 7820, 18, 9603, 16210, 668, 10720, 656, 8753, 2853, 34727, 6641, 979, 18, 510, 3557, 322, 2619, 16, 387, 45337, 1269, 40211, 282, 4056, 11053, 18, 1397, 17, 299, 9680, 334, 2856, 5083, 3153, 282, 34979, 546, 35, 510, 981, 18, 740, 1373, 1743, 764, 282, 970, 16, 374, 329, 8814, 1275, 639, 2410, 1269, 24998, 4744, 2449, 18, 1345, 21689, 18456, 887, 424, 33649, 761, 16, 32713, 13581, 702, 6527, 510, 1174, 2853, 12525, 309, 4313, 5939, 18, 17974, 42262, 10660, 29497, 18, 3575, 2458, 8714, 1649, 26430, 16, 12497, 874, 4698, 22447, 18, 459, 475, 2438, 2470, 506, 18, 510, 1563, 1979, 329, 1304, 424, 21019, 473, 34858, 32813, 4223, 411, 43813, 382, 281, 20641, 5708, 13098, 4275, 274, 635, 6778, 510, 481, 13391, 14377, 416, 4466, 35, 510, 6490, 19013, 473, 22593, 17014, 10118, 16, 374, 481, 3964, 360, 6786, 18, 889, 3240, 4836, 18, 510, 985, 21082, 10408, 4116, 36728, 8955, 289, 26236, 294, 13420, 9547, 35, 510, 7937, 377, 3248, 2567, 16287, 282, 970, 16, 374, 322, 4748, 16, 281, 4080, 12932, 694, 21035, 18, 18110, 2236, 26654, 14125, 16, 753, 27714, 3411, 271, 282, 7756, 18, 2876, 656, 3984, 281, 867, 575, 4195, 339, 26236, 289, 437, 29777, 2384, 1616, 37131, 455, 18, 510, 28865, 1952, 14118, 282, 5462, 582, 7977, 9903, 414, 16, 367, 22051, 453, 289, 322, 349, 7954, 3417, 12994, 16, 290, 1639, 24581, 42215, 18, 1367, 24047, 35, 510, 40765, 1003, 18, 1345, 322, 10025, 26087, 294, 11529, 4304, 282, 12994, 304, 9347, 18, 640, 2218, 2193, 16, 2117, 906, 939, 14157, 289, 749, 978, 478, 285, 380, 837, 861, 510, 5621, 48115, 42262, 334, 23708, 1918, 14903, 282, 21555, 478, 672, 2334, 3949, 931, 397, 470, 510, 478, 18635, 343, 818, 861, 4802, 927, 349, 1335, 27883, 35, 510, 13191, 870, 4966, 43846, 18, 889, 32937, 4150, 6773, 16, 961, 12596, 282, 3800, 1272, 34594, 17799, 18, 14445, 1215, 478, 18635, 343, 818, 470, 2734, 322, 281, 9262, 27534, 478, 12775, 262, 910, 6934, 1574, 2948, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 14118, 651, 478, 983, 696, 807, 262, 861, 6019, 1764, 13295, 607, 16, 14378, 30891, 16, 42620, 18389, 28737, 289, 7457, 4753, 942, 4897, 309, 7759, 28915, 11536, 2297, 1020, 643, 523, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 18869, 5132, 41325, 289, 37965, 10296, 14429, 1175, 1143, 322, 8070, 3624, 282, 10830, 7491, 5418, 8189, 1751, 18, 9857, 3003, 5962, 282, 11946, 36153, 18, 3266, 1703, 31870, 12253, 1437, 2955, 35212, 289, 30546, 282, 8362, 16, 289, 28123, 334, 1420, 16, 367, 34658, 510, 942, 16, 29039, 14697, 18, 31224, 30, 2176, 11073, 4329, 3394, 6005, 8904, 282, 11946, 639, 7239, 20321, 290, 14914, 7025, 7431, 1810, 10830, 35581, 309, 10296, 11630, 16934, 282, 11023, 4440, 17, 361, 289, 4830, 2407, 282, 11500, 4018, 17, 361, 18, 41186, 11534, 3953, 14074, 5998, 35581, 16, 961, 289, 749, 924, 1698, 18291, 282, 6551, 687, 334, 4292, 8608, 36153, 18, 478, 732, 315, 1663, 536, 2586, 22288, 322, 895, 953, 16, 428, 36366, 282, 2759, 15361, 16, 17642, 2407, 910, 510, 15875, 6080, 478, 13261, 470, 17916, 36153, 29816, 272, 13564, 483, 888, 1624, 387, 2556, 7314, 309, 11073, 8424, 282, 11946, 18, 365, 803, 25223, 9326, 35581, 1038, 3215, 9211, 16799, 318, 18, 1606, 19763, 2990, 12741, 349, 35854, 304, 12607, 289, 46197, 281 ]
[ 33298, 286, 2608, 18, 2949, 924, 16, 1441, 745, 10211, 4247, 2990, 14833, 322, 687, 281, 6574, 2389, 289, 16052, 9077, 16, 515, 281, 19157, 37515, 42194, 18, 3397, 282, 31595, 478, 6115, 7934, 28362, 292, 37515, 835, 289, 3018, 309, 3455, 282, 18271, 554, 482, 2954, 4433, 4551, 470, 290, 47419, 292, 2141, 5130, 3215, 2950, 18, 6592, 2856, 3479, 552, 16, 4244, 451, 7491, 572, 510, 481, 1139, 478, 40872, 574, 34570, 670, 13858, 3320, 16, 11326, 1545, 12233, 19302, 282, 4666, 16, 36508, 9449, 16, 25901, 349, 38275, 289, 48309, 10144, 289, 38272, 291, 282, 4433, 4551, 861, 7824, 6321, 289, 32365, 9449, 1745, 322, 33550, 8394, 18, 37729, 3320, 478, 27874, 910, 1586, 10008, 15578, 268, 3924, 10144, 16, 4944, 504, 2774, 375, 5273, 16, 374, 36133, 14131, 36153, 895, 11534, 25371, 428, 309, 6441, 1810, 35581, 16, 453, 289, 309, 26022, 5781, 10144, 18, 478, 3127, 14174, 322, 3957, 4641, 40486, 432, 289, 46306, 5856, 35581, 16, 510, 2548, 492, 18, 510, 15060, 16, 374, 14429, 1175, 1882, 6597, 289, 11710, 16, 289, 4532, 265, 2553, 861, 504, 2774, 375, 5273, 16, 374, 36153, 9414, 15807, 25207, 7491, 5331, 3320, 16, 1548, 374, 478, 406, 942, 282, 3591, 2083, 35212, 30546, 282, 8362, 16, 282, 502, 808, 428, 22360, 1175, 322, 6453, 24478, 9959, 309, 28123, 861, 37729, 26136, 16, 374, 28386, 25433, 282, 4698, 3678, 895, 44151, 13269, 7257, 18, 439, 541, 924, 16, 753, 11031, 40379, 43108, 758, 16, 26698, 504, 2774, 375, 16, 478, 324, 1129, 4292, 3231, 35581, 360, 1034, 43122, 1624, 428, 282, 15783, 861, 478, 24686, 3230, 5040, 19420, 294, 7491, 7768, 16, 867, 3230, 5040, 19420, 294, 5748, 2381, 910, 510, 26698, 5037, 30345, 5119, 17838, 14153, 40844, 18, 365, 20022, 16, 1586, 11179, 2657, 3576, 1617, 27940, 309, 11031, 334, 4547, 8290, 16, 13202, 1519, 36133, 14131, 322, 7737, 16, 1548, 374, 764, 505, 322, 6418, 18, 640, 31972, 41325, 10296, 282, 5653, 1045, 22550, 10830, 35581, 18749, 3084, 15506, 18, 996, 16, 36153, 567, 7410, 281, 27402, 16752, 22495, 9473, 4292, 2253, 7620, 40206, 334, 22591, 1631, 20022, 473, 983, 23809, 672, 1659, 20022, 13, 282, 2456, 3998, 14016, 16, 33160, 16, 374, 895, 26328, 697, 687, 8671, 282, 13180, 5284, 14016, 18, 29598, 347, 2873, 20022, 282, 1078, 12002, 16, 374, 773, 2003, 15578, 319, 1992, 4126, 10144, 16, 367, 322, 687, 4126, 17541, 16, 289, 282, 6551, 2141, 322, 13473, 18, 2, 1, 87, 1456, 81, 2448, 30, 27091, 623, 7021, 48119, 35395, 15978, 32055, 445, 396, 548, 7416, 965, 7722, 6390, 14519, 2389, 16, 753, 8945, 22424, 1237, 289, 50019, 44403, 13816, 18, 2112, 5690, 7730, 1734, 1190, 17336, 325, 599, 343, 329, 1386, 530, 282, 13335, 510, 1717, 2332, 924, 16, 753, 322, 11392, 282, 15978, 16, 492, 4284, 2582, 1190, 676, 18, 2320, 15320, 12698, 16, 374, 6295, 282, 38872, 17, 22, 2001, 35694, 36291, 41025, 701, 281, 3597, 6705, 779, 30, 1655, 16019, 11867, 1190, 35049, 1833, 1293, 26333, 18, 31224, 30, 27091, 623, 7021, 48119, 35395, 9358, 4699, 15978, 4855, 491, 282, 3580, 35694, 10347, 16, 4586, 1100, 274, 1279, 5263, 477, 1963, 6937, 16, 685, 11189, 3103, 445, 48594, 282, 5136, 990, 282, 2159, 3555, 18287, 27239, 2087, 289, 39038, 18, 45657, 10901, 2198, 282, 9148, 29190, 36909, 289, 36054, 6573, 281, 505, 1726, 304, 381, 5263, 1408, 282, 1595, 4459, 10914, 755, 5115, 1180, 1297, 47186, 18, 13444, 6370, 1483, 3141, 34943, 282, 18856, 478, 32485, 18, 8381, 861, 478, 682, 1408, 4285, 357, 282, 1479, 14948, 4349, 723, 3960, 5636, 3965, 679, 539, 3555, 16, 2486, 322, 5280, 4283, 334, 8386, 924, 16, 374, 784, 10063, 1421, 6053, 424, 18583, 23335, 40418, 289, 3978, 895, 322, 25252, 16, 470, 510, 281, 1967, 1280, 8486, 3988, 10478, 6816, 5871, 5269, 16, 7304, 35803, 13742, 282, 38872, 17, 22, 6664, 20886, 3975, 354, 775, 18, 365, 317, 8475, 282, 5144, 668, 29911, 11664, 15051, 16, 428, 12698, 3168, 7021, 16, 505, 18695, 6976, 11949, 427, 289, 14075, 22424, 1237, 477, 1963, 6814, 6937, 289, 13026, 1378, 294, 1420, 26333, 16, 453, 25168, 32277, 18, 2681, 2332, 924, 16, 753, 5848, 1293, 2868, 282, 14154, 16, 367, 322, 282, 15978, 16, 492, 2259, 294, 962, 2153, 965, 18, 985, 4848, 15320, 3168, 11581, 7974, 6729, 5269, 16, 282, 11946, 505, 424, 10336, 451, 424, 36054, 6573, 16, 27571, 48746, 16, 40393, 975, 1617, 16019, 11867, 18, 3397, 2406, 281, 505, 17171, 11664, 6996, 9188, 44974, 15559, 282, 1293, 23291, 18, 2949, 924, 16, 4101, 25958, 2868, 5871, 5269, 322, 13694, 12907, 16, 35628, 5790, 281, 10970, 620, 334, 32807, 349, 17119, 17703, 8124, 18, 824, 3163, 23394, 16, 281, 2742, 3597, 481, 726, 32055, 445, 16, 785, 505, 424, 10336, 451, 396, 548, 7229, 965, 15302, 3965, 679, 758, 41569, 30, 17619, 46355, 16, 1375, 9340, 44974, 289, 27239, 2087, 18, 9114, 445, 505, 33638, 4110, 282, 17288, 416, 14154, 16201, 3594, 12958, 7484, 18, 1483, 548, 2135, 5144, 668, 29911, 16, 492, 726, 31459, 364, 18368, 289, 29386, 2768, 6786, 18, 38659, 5273, 16, 374, 5871, 5269, 11189, 12062, 4694, 294, 2733, 2743, 966, 557, 2381, 16, 753, 17560, 411, 15978, 282, 13335, 18, 478, 6161, 1135, 40254, 8284, 45566, 670, 449, 3748, 282, 1007, 16, 481, 322, 20515, 309, 44443, 38872, 17, 22, 5522, 18058, 16, 510, 10824, 15320, 3193, 5871, 5269, 18, 510, 1937, 492, 4722, 445, 329, 26582, 282, 13335, 16, 975, 7299, 16, 374, 1882, 1833, 1122, 7781, 440, 506, 16, 828, 14629, 5187, 861, 38659, 6729, 5269, 26390, 764, 281, 3348, 10901, 5056, 16, 1029, 282, 8408, 8434, 1728, 20066, 1038, 10218, 8284, 45566, 289, 4848, 16, 374, 282, 8156, 5871, 5269, 13778, 467, 764, 1293, 325, 599, 523, 282, 38872, 17, 22, 18, 3739, 282, 12838, 22567, 25656, 4151, 9721, 14255, 15311, 46593, 38872, 17, 22, 290, 970, 16, 374, 282, 18265, 10347, 680, 15978, 1033, 10848, 26333, 282, 317, 2251, 282, 1617, 3992, 18287, 21915, 16, 23023, 3467, 3965, 679, 448, 12768, 670, 16029, 326, 282, 1007, 18, 824, 3163, 697, 15311, 16, 325, 599, 382, 8272, 309, 2743, 564, 7272, 16, 322, 45880, 50019, 44403, 13816, 289, 21912, 512, 18, 4663, 6919, 32546, 7695, 478, 806, 382, 281, 22131, 416, 470, 289, 4823, 309, 965, 35156, 27606, 3171 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33298, 286, 2608, 18, 2949, 924, 16, 1441, 745, 10211, 4247, 2990, 14833, 322, 687, 281, 6574, 2389, 289, 16052, 9077, 16, 515, 281, 19157, 37515, 42194, 18, 3397, 282, 31595, 478, 6115, 7934, 28362, 292, 37515, 835, 289, 3018, 309, 3455, 282, 18271, 554, 482, 2954, 4433, 4551, 470, 290, 47419, 292, 2141, 5130, 3215, 2950, 18, 6592, 2856, 3479, 552, 16, 4244, 451, 7491, 572, 510, 481, 1139, 478, 40872, 574, 34570, 670, 13858, 3320, 16, 11326, 1545, 12233, 19302, 282, 4666, 16, 36508, 9449, 16, 25901, 349, 38275, 289, 48309, 10144, 289, 38272, 291, 282, 4433, 4551, 861, 7824, 6321, 289, 32365, 9449, 1745, 322, 33550, 8394, 18, 37729, 3320, 478, 27874, 910, 1586, 10008, 15578, 268, 3924, 10144, 16, 4944, 504, 2774, 375, 5273, 16, 374, 36133, 14131, 36153, 895, 11534, 25371, 428, 309, 6441, 1810, 35581, 16, 453, 289, 309, 26022, 5781, 10144, 18, 478, 3127, 14174, 322, 3957, 4641, 40486, 432, 289, 46306, 5856, 35581, 16, 510, 2548, 492, 18, 510, 15060, 16, 374, 14429, 1175, 1882, 6597, 289, 11710, 16, 289, 4532, 265, 2553, 861, 504, 2774, 375, 5273, 16, 374, 36153, 9414, 15807, 25207, 7491, 5331, 3320, 16, 1548, 374, 478, 406, 942, 282, 3591, 2083, 35212, 30546, 282, 8362, 16, 282, 502, 808, 428, 22360, 1175, 322, 6453, 24478, 9959, 309, 28123, 861, 37729, 26136, 16, 374, 28386, 25433, 282, 4698, 3678, 895, 44151, 13269, 7257, 18, 439, 541, 924, 16, 753, 11031, 40379, 43108, 758, 16, 26698, 504, 2774, 375, 16, 478, 324, 1129, 4292, 3231, 35581, 360, 1034, 43122, 1624, 428, 282, 15783, 861, 478, 24686, 3230, 5040, 19420, 294, 7491, 7768, 16, 867, 3230, 5040, 19420, 294, 5748, 2381, 910, 510, 26698, 5037, 30345, 5119, 17838, 14153, 40844, 18, 365, 20022, 16, 1586, 11179, 2657, 3576, 1617, 27940, 309, 11031, 334, 4547, 8290, 16, 13202, 1519, 36133, 14131, 322, 7737, 16, 1548, 374, 764, 505, 322, 6418, 18, 640, 31972, 41325, 10296, 282, 5653, 1045, 22550, 10830, 35581, 18749, 3084, 15506, 18, 996, 16, 36153, 567, 7410, 281, 27402, 16752, 22495, 9473, 4292, 2253, 7620, 40206, 334, 22591, 1631, 20022, 473, 983, 23809, 672, 1659, 20022, 13, 282, 2456, 3998, 14016, 16, 33160, 16, 374, 895, 26328, 697, 687, 8671, 282, 13180, 5284, 14016, 18, 29598, 347, 2873, 20022, 282, 1078, 12002, 16, 374, 773, 2003, 15578, 319, 1992, 4126, 10144, 16, 367, 322, 687, 4126, 17541, 16, 289, 282, 6551, 2141, 322, 13473, 18, 2, 1, 87, 1456, 81, 2448, 30, 27091, 623, 7021, 48119, 35395, 15978, 32055, 445, 396, 548, 7416, 965, 7722, 6390, 14519, 2389, 16, 753, 8945, 22424, 1237, 289, 50019, 44403, 13816, 18, 2112, 5690, 7730, 1734, 1190, 17336, 325, 599, 343, 329, 1386, 530, 282, 13335, 510, 1717, 2332, 924, 16, 753, 322, 11392, 282, 15978, 16, 492, 4284, 2582, 1190, 676, 18, 2320, 15320, 12698, 16, 374, 6295, 282, 38872, 17, 22, 2001, 35694, 36291, 41025, 701, 281, 3597, 6705, 779, 30, 1655, 16019, 11867, 1190, 35049, 1833, 1293, 26333, 18, 31224, 30, 27091, 623, 7021, 48119, 35395, 9358, 4699, 15978, 4855, 491, 282, 3580, 35694, 10347, 16, 4586, 1100, 274, 1279, 5263, 477, 1963, 6937, 16, 685, 11189, 3103, 445, 48594, 282, 5136, 990, 282, 2159, 3555, 18287, 27239, 2087, 289, 39038, 18, 45657, 10901, 2198, 282, 9148, 29190, 36909, 289, 36054, 6573, 281, 505, 1726, 304, 381, 5263, 1408, 282, 1595, 4459, 10914, 755, 5115, 1180, 1297, 47186, 18, 13444, 6370, 1483, 3141, 34943, 282, 18856, 478, 32485, 18, 8381, 861, 478, 682, 1408, 4285, 357, 282, 1479, 14948, 4349, 723, 3960, 5636, 3965, 679, 539, 3555, 16, 2486, 322, 5280, 4283, 334, 8386, 924, 16, 374, 784, 10063, 1421, 6053, 424, 18583, 23335, 40418, 289, 3978, 895, 322, 25252, 16, 470, 510, 281, 1967, 1280, 8486, 3988, 10478, 6816, 5871, 5269, 16, 7304, 35803, 13742, 282, 38872, 17, 22, 6664, 20886, 3975, 354, 775, 18, 365, 317, 8475, 282, 5144, 668, 29911, 11664, 15051, 16, 428, 12698, 3168, 7021, 16, 505, 18695, 6976, 11949, 427, 289, 14075, 22424, 1237, 477, 1963, 6814, 6937, 289, 13026, 1378, 294, 1420, 26333, 16, 453, 25168, 32277, 18, 2681, 2332, 924, 16, 753, 5848, 1293, 2868, 282, 14154, 16, 367, 322, 282, 15978, 16, 492, 2259, 294, 962, 2153, 965, 18, 985, 4848, 15320, 3168, 11581, 7974, 6729, 5269, 16, 282, 11946, 505, 424, 10336, 451, 424, 36054, 6573, 16, 27571, 48746, 16, 40393, 975, 1617, 16019, 11867, 18, 3397, 2406, 281, 505, 17171, 11664, 6996, 9188, 44974, 15559, 282, 1293, 23291, 18, 2949, 924, 16, 4101, 25958, 2868, 5871, 5269, 322, 13694, 12907, 16, 35628, 5790, 281, 10970, 620, 334, 32807, 349, 17119, 17703, 8124, 18, 824, 3163, 23394, 16, 281, 2742, 3597, 481, 726, 32055, 445, 16, 785, 505, 424, 10336, 451, 396, 548, 7229, 965, 15302, 3965, 679, 758, 41569, 30, 17619, 46355, 16, 1375, 9340, 44974, 289, 27239, 2087, 18, 9114, 445, 505, 33638, 4110, 282, 17288, 416, 14154, 16201, 3594, 12958, 7484, 18, 1483, 548, 2135, 5144, 668, 29911, 16, 492, 726, 31459, 364, 18368, 289, 29386, 2768, 6786, 18, 38659, 5273, 16, 374, 5871, 5269, 11189, 12062, 4694, 294, 2733, 2743, 966, 557, 2381, 16, 753, 17560, 411, 15978, 282, 13335, 18, 478, 6161, 1135, 40254, 8284, 45566, 670, 449, 3748, 282, 1007, 16, 481, 322, 20515, 309, 44443, 38872, 17, 22, 5522, 18058, 16, 510, 10824, 15320, 3193, 5871, 5269, 18, 510, 1937, 492, 4722, 445, 329, 26582, 282, 13335, 16, 975, 7299, 16, 374, 1882, 1833, 1122, 7781, 440, 506, 16, 828, 14629, 5187, 861, 38659, 6729, 5269, 26390, 764, 281, 3348, 10901, 5056, 16, 1029, 282, 8408, 8434, 1728, 20066, 1038, 10218, 8284, 45566, 289, 4848, 16, 374, 282, 8156, 5871, 5269, 13778, 467, 764, 1293, 325, 599, 523, 282, 38872, 17, 22, 18, 3739, 282, 12838, 22567, 25656, 4151, 9721, 14255, 15311, 46593, 38872, 17, 22, 290, 970, 16, 374, 282, 18265, 10347, 680, 15978, 1033, 10848, 26333, 282, 317, 2251, 282, 1617, 3992, 18287, 21915, 16, 23023, 3467, 3965, 679, 448, 12768, 670, 16029, 326, 282, 1007, 18, 824, 3163, 697, 15311, 16, 325, 599, 382, 8272, 309, 2743, 564, 7272, 16, 322, 45880, 50019, 44403, 13816, 289, 21912, 512, 18, 4663, 6919, 32546, 7695, 478, 806, 382, 281, 22131, 416, 470, 289, 4823, 309, 965, 35156, 27606, 3171 ]
[ 8150, 16, 367, 1110, 16, 1085, 6691, 3108, 16, 12733, 467, 478, 8650, 2888, 861, 365, 23032, 23362, 16, 374, 46593, 424, 309, 13211, 758, 21389, 16948, 2657, 5802, 282, 36725, 16200, 755, 16, 988, 35360, 281, 19526, 6246, 29172, 366, 18, 985, 16144, 697, 23377, 16, 827, 2616, 17, 299, 411, 325, 599, 523, 2955, 34632, 3341, 1082, 16, 502, 697, 1698, 22424, 1086, 18, 365, 23032, 11466, 1812, 16, 374, 282, 44403, 4062, 292, 14963, 3455, 478, 275, 566, 1527, 309, 3971, 9358, 917, 470, 10901, 1453, 16, 23377, 294, 6937, 18, 27262, 627, 309, 2923, 38872, 17, 22, 935, 8849, 30030, 5908, 343, 16, 2319, 2349, 3935, 478, 1961, 301, 33066, 16786, 470, 3168, 7021, 16, 988, 505, 8131, 1867, 705, 283, 323, 16, 1011, 1660, 1574, 325, 4194, 8503, 478, 412, 1288, 3250, 470, 289, 505, 2657, 5802, 282, 453, 22023, 279, 6629, 10661, 742, 473, 370, 296, 1855, 15857, 1974, 281, 726, 478, 412, 1288, 5056, 470, 21025, 3317, 289, 19428, 7355, 6425, 814, 3877, 623, 7050, 16, 334, 3163, 13813, 16, 7117, 15833, 16, 374, 7856, 48692, 15978, 697, 21912, 265, 322, 13639, 2712, 16, 367, 23500, 282, 30653, 448, 289, 7346, 14414, 9597, 411, 12892, 322, 22359, 18, 365, 23032, 23362, 16, 374, 19427, 4381, 325, 599, 382, 322, 6959, 5317, 3300, 31571, 3672, 670, 9025, 282, 15978, 5494, 1479, 353, 2858, 16, 367, 1472, 15655, 3236, 1568, 434, 3361, 294, 1190, 18, 2861, 17745, 742, 38907, 1258, 317, 13430, 334, 2856, 13229, 18585, 8348, 282, 994, 2696, 11285, 18, 4988, 3988, 10478, 906, 734, 25063, 2773, 282, 5549, 2837, 994, 3774, 8554, 16, 988, 1450, 20137, 16, 374, 13061, 5263, 289, 11949, 891, 282, 15978, 322, 3238, 16317, 18, 38872, 17, 22, 322, 15880, 22718, 282, 36970, 950, 16, 988, 325, 599, 382, 48982, 309, 44403, 4062, 18, 21683, 6705, 779, 282, 15978, 4855, 1032, 16, 1586, 3164, 282, 970, 575, 35694, 342, 464, 16, 16342, 10901, 1545, 4210, 35266, 278, 405, 18, 3529, 25656, 1157, 6442, 290, 8284, 291, 582, 17252, 7984, 26333, 38872, 17, 24, 18, 1606, 4732, 8284, 45566, 16, 26294, 16, 374, 8811, 15978, 1698, 15569, 5809, 18802, 334, 8823, 294, 4414, 39564, 16, 827, 30899, 5195, 1756, 30, 6396, 1293, 2868, 1011, 505, 11337, 639, 29128, 16, 374, 329, 30979, 1003, 15311, 16, 961, 3005, 373, 16092, 3555, 289, 1997, 319, 309, 13957, 24492, 18, 824, 21858, 7475, 16, 329, 4414, 39564, 7108, 44615, 3978, 18, 478, 1358, 575, 7382, 1139, 360, 3736, 879, 11664, 12474, 30, 590, 3736, 839, 28696, 16, 475, 28906, 456, 20455, 263, 18, 439, 360, 23306, 519, 8648, 475, 33281, 30, 505, 25585, 16, 4818, 16, 2693, 910, 510, 10703, 478, 46088, 18, 8381, 470, 4411, 30979, 12836, 18949, 14954, 1624, 32715, 4749, 5747, 281, 20838, 8769, 18, 3397, 678, 15655, 1812, 15140, 11337, 5794, 18, 2877, 35456, 15546, 289, 3168, 7021, 38872, 17, 22, 5871, 5269, 18, 478, 677, 1750, 827, 417, 3994, 392, 282, 7204, 39263, 16, 10312, 2196, 1855, 481, 281, 20323, 6937, 16, 510, 8105, 1211, 492, 2159, 8348, 18, 510, 640, 9837, 1119, 417, 11503, 16, 374, 2447, 13967, 18, 6126, 2558, 538, 519, 6570, 16, 10312, 5134, 2838, 2710, 17, 299, 7272, 541, 25164, 48774, 723, 861, 824, 5453, 22552, 900, 1734, 3352, 16, 1314, 5871, 5269, 281, 48683, 21915, 3960, 475, 17, 2767, 31458, 282, 17288, 668, 13335, 16, 515, 10211, 23394, 6729, 5269, 519, 4319, 1326, 322, 13349, 925, 290, 28753, 8256, 424, 10336, 434, 18, 47245, 31373, 14914, 3162, 282, 3781, 17, 12495, 24490, 563, 7484, 20886, 3975, 354, 3480, 282, 11877, 322, 3225, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 12815, 476, 419, 1484, 45950, 26581, 42995, 1133, 12435, 16, 16135, 1453, 411, 17, 431, 38056, 11007, 294, 1175, 16, 3387, 745, 8272, 34167, 1636, 281, 44871, 289, 27218, 3701, 982, 41498, 18, 3026, 1038, 45950, 15870, 289, 12885, 511, 691, 35579, 11753, 15258, 11701, 6152, 1728, 20458, 16, 367, 745, 16, 5938, 34675, 5981, 277, 16, 334, 17, 6093, 23054, 349, 502, 16, 753, 953, 282, 5271, 1175, 18, 31224, 30, 17394, 3252, 266, 12815, 476, 419, 297, 367, 411, 4623, 478, 13945, 8938, 4489, 541, 5306, 470, 1034, 464, 16698, 43621, 842, 18519, 26581, 5816, 1453, 411, 17, 431, 11007, 42995, 1133, 12435, 22470, 1624, 3387, 745, 322, 12596, 294, 15166, 3860, 18, 817, 9299, 16, 374, 870, 11176, 4793, 7272, 935, 322, 898, 6341, 6746, 6025, 9085, 18, 403, 2222, 575, 16, 334, 505, 3163, 16, 745, 8272, 1279, 15788, 289, 5781, 15901, 7405, 16, 2391, 697, 2003, 478, 267, 7681, 16161, 861, 1367, 803, 492, 2815, 309, 11073, 26939, 7920, 17444, 346, 34471, 37707, 12672, 12318, 16652, 18, 4874, 41849, 1502, 1038, 8566, 13453, 15788, 5792, 290, 4035, 482, 322, 45195, 17086, 4096, 309, 34162, 18, 478, 1358, 2447, 2023, 16, 374, 481, 22968, 8205, 7036, 910, 510, 2815, 43621, 842, 18, 817, 4725, 16, 374, 282, 4096, 281, 6341, 5613, 2003, 15870, 322, 687, 45384, 2990, 16, 515, 289, 12885, 511, 691, 35579, 15258, 11701, 18, 365, 5975, 808, 282, 5306, 3215, 2669, 5860, 5808, 282, 4356, 32362, 13951, 1279, 1175, 18, 7758, 14638, 29179, 4419, 3203, 8005, 1452, 680, 16040, 11630, 360, 4623, 478, 13945, 8938, 4489, 541, 5306, 470, 473, 37, 74, 40, 13, 38676, 10474, 9186, 2445, 363, 268, 2815, 16, 374, 6564, 1943, 11211, 16661, 36987, 2801, 779, 290, 33622, 8256, 11007, 282, 2452, 2407, 289, 16, 8774, 16, 10205, 281, 1175, 12435, 18, 817, 4725, 16, 374, 26513, 12435, 45912, 13312, 16211, 5306, 16, 7154, 1063, 23014, 700, 541, 11993, 281, 9609, 18, 403, 2222, 575, 411, 17, 431, 978, 16, 334, 505, 3163, 16, 22399, 8876, 33112, 14451, 2223, 18, 478, 563, 2430, 553, 2125, 953, 44709, 428, 942, 3848, 18, 42427, 25573, 11007, 10258, 38272, 18, 1606, 5658, 19640, 6458, 360, 2665, 289, 23905, 294, 4433, 4551, 16, 289, 481, 2990, 5478, 18, 14129, 1700, 639, 48504, 3328, 16, 289, 1513, 505, 32894, 910, 510, 9299, 9186, 2445, 363, 268, 18, 2949, 924, 16, 492, 14676, 2904, 16, 374, 18347, 289, 10933, 9637, 282, 2801, 1045, 25509, 282, 14613, 478, 23483, 1151, 289, 4745, 910, 4426, 5414, 3225, 8945, 9994, 289, 25754, 14561, 2793, 18, 37188, 1038, 16328, 5086, 468, 16, 374, 282, 3178, 7426, 4256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8150, 16, 367, 1110, 16, 1085, 6691, 3108, 16, 12733, 467, 478, 8650, 2888, 861, 365, 23032, 23362, 16, 374, 46593, 424, 309, 13211, 758, 21389, 16948, 2657, 5802, 282, 36725, 16200, 755, 16, 988, 35360, 281, 19526, 6246, 29172, 366, 18, 985, 16144, 697, 23377, 16, 827, 2616, 17, 299, 411, 325, 599, 523, 2955, 34632, 3341, 1082, 16, 502, 697, 1698, 22424, 1086, 18, 365, 23032, 11466, 1812, 16, 374, 282, 44403, 4062, 292, 14963, 3455, 478, 275, 566, 1527, 309, 3971, 9358, 917, 470, 10901, 1453, 16, 23377, 294, 6937, 18, 27262, 627, 309, 2923, 38872, 17, 22, 935, 8849, 30030, 5908, 343, 16, 2319, 2349, 3935, 478, 1961, 301, 33066, 16786, 470, 3168, 7021, 16, 988, 505, 8131, 1867, 705, 283, 323, 16, 1011, 1660, 1574, 325, 4194, 8503, 478, 412, 1288, 3250, 470, 289, 505, 2657, 5802, 282, 453, 22023, 279, 6629, 10661, 742, 473, 370, 296, 1855, 15857, 1974, 281, 726, 478, 412, 1288, 5056, 470, 21025, 3317, 289, 19428, 7355, 6425, 814, 3877, 623, 7050, 16, 334, 3163, 13813, 16, 7117, 15833, 16, 374, 7856, 48692, 15978, 697, 21912, 265, 322, 13639, 2712, 16, 367, 23500, 282, 30653, 448, 289, 7346, 14414, 9597, 411, 12892, 322, 22359, 18, 365, 23032, 23362, 16, 374, 19427, 4381, 325, 599, 382, 322, 6959, 5317, 3300, 31571, 3672, 670, 9025, 282, 15978, 5494, 1479, 353, 2858, 16, 367, 1472, 15655, 3236, 1568, 434, 3361, 294, 1190, 18, 2861, 17745, 742, 38907, 1258, 317, 13430, 334, 2856, 13229, 18585, 8348, 282, 994, 2696, 11285, 18, 4988, 3988, 10478, 906, 734, 25063, 2773, 282, 5549, 2837, 994, 3774, 8554, 16, 988, 1450, 20137, 16, 374, 13061, 5263, 289, 11949, 891, 282, 15978, 322, 3238, 16317, 18, 38872, 17, 22, 322, 15880, 22718, 282, 36970, 950, 16, 988, 325, 599, 382, 48982, 309, 44403, 4062, 18, 21683, 6705, 779, 282, 15978, 4855, 1032, 16, 1586, 3164, 282, 970, 575, 35694, 342, 464, 16, 16342, 10901, 1545, 4210, 35266, 278, 405, 18, 3529, 25656, 1157, 6442, 290, 8284, 291, 582, 17252, 7984, 26333, 38872, 17, 24, 18, 1606, 4732, 8284, 45566, 16, 26294, 16, 374, 8811, 15978, 1698, 15569, 5809, 18802, 334, 8823, 294, 4414, 39564, 16, 827, 30899, 5195, 1756, 30, 6396, 1293, 2868, 1011, 505, 11337, 639, 29128, 16, 374, 329, 30979, 1003, 15311, 16, 961, 3005, 373, 16092, 3555, 289, 1997, 319, 309, 13957, 24492, 18, 824, 21858, 7475, 16, 329, 4414, 39564, 7108, 44615, 3978, 18, 478, 1358, 575, 7382, 1139, 360, 3736, 879, 11664, 12474, 30, 590, 3736, 839, 28696, 16, 475, 28906, 456, 20455, 263, 18, 439, 360, 23306, 519, 8648, 475, 33281, 30, 505, 25585, 16, 4818, 16, 2693, 910, 510, 10703, 478, 46088, 18, 8381, 470, 4411, 30979, 12836, 18949, 14954, 1624, 32715, 4749, 5747, 281, 20838, 8769, 18, 3397, 678, 15655, 1812, 15140, 11337, 5794, 18, 2877, 35456, 15546, 289, 3168, 7021, 38872, 17, 22, 5871, 5269, 18, 478, 677, 1750, 827, 417, 3994, 392, 282, 7204, 39263, 16, 10312, 2196, 1855, 481, 281, 20323, 6937, 16, 510, 8105, 1211, 492, 2159, 8348, 18, 510, 640, 9837, 1119, 417, 11503, 16, 374, 2447, 13967, 18, 6126, 2558, 538, 519, 6570, 16, 10312, 5134, 2838, 2710, 17, 299, 7272, 541, 25164, 48774, 723, 861, 824, 5453, 22552, 900, 1734, 3352, 16, 1314, 5871, 5269, 281, 48683, 21915, 3960, 475, 17, 2767, 31458, 282, 17288, 668, 13335, 16, 515, 10211, 23394, 6729, 5269, 519, 4319, 1326, 322, 13349, 925, 290, 28753, 8256, 424, 10336, 434, 18, 47245, 31373, 14914, 3162, 282, 3781, 17, 12495, 24490, 563, 7484, 20886, 3975, 354, 3480, 282, 11877, 322, 3225, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 12815, 476, 419, 1484, 45950, 26581, 42995, 1133, 12435, 16, 16135, 1453, 411, 17, 431, 38056, 11007, 294, 1175, 16, 3387, 745, 8272, 34167, 1636, 281, 44871, 289, 27218, 3701, 982, 41498, 18, 3026, 1038, 45950, 15870, 289, 12885, 511, 691, 35579, 11753, 15258, 11701, 6152, 1728, 20458, 16, 367, 745, 16, 5938, 34675, 5981, 277, 16, 334, 17, 6093, 23054, 349, 502, 16, 753, 953, 282, 5271, 1175, 18, 31224, 30, 17394, 3252, 266, 12815, 476, 419, 297, 367, 411, 4623, 478, 13945, 8938, 4489, 541, 5306, 470, 1034, 464, 16698, 43621, 842, 18519, 26581, 5816, 1453, 411, 17, 431, 11007, 42995, 1133, 12435, 22470, 1624, 3387, 745, 322, 12596, 294, 15166, 3860, 18, 817, 9299, 16, 374, 870, 11176, 4793, 7272, 935, 322, 898, 6341, 6746, 6025, 9085, 18, 403, 2222, 575, 16, 334, 505, 3163, 16, 745, 8272, 1279, 15788, 289, 5781, 15901, 7405, 16, 2391, 697, 2003, 478, 267, 7681, 16161, 861, 1367, 803, 492, 2815, 309, 11073, 26939, 7920, 17444, 346, 34471, 37707, 12672, 12318, 16652, 18, 4874, 41849, 1502, 1038, 8566, 13453, 15788, 5792, 290, 4035, 482, 322, 45195, 17086, 4096, 309, 34162, 18, 478, 1358, 2447, 2023, 16, 374, 481, 22968, 8205, 7036, 910, 510, 2815, 43621, 842, 18, 817, 4725, 16, 374, 282, 4096, 281, 6341, 5613, 2003, 15870, 322, 687, 45384, 2990, 16, 515, 289, 12885, 511, 691, 35579, 15258, 11701, 18, 365, 5975, 808, 282, 5306, 3215, 2669, 5860, 5808, 282, 4356, 32362, 13951, 1279, 1175, 18, 7758, 14638, 29179, 4419, 3203, 8005, 1452, 680, 16040, 11630, 360, 4623, 478, 13945, 8938, 4489, 541, 5306, 470, 473, 37, 74, 40, 13, 38676, 10474, 9186, 2445, 363, 268, 2815, 16, 374, 6564, 1943, 11211, 16661, 36987, 2801, 779, 290, 33622, 8256, 11007, 282, 2452, 2407, 289, 16, 8774, 16, 10205, 281, 1175, 12435, 18, 817, 4725, 16, 374, 26513, 12435, 45912, 13312, 16211, 5306, 16, 7154, 1063, 23014, 700, 541, 11993, 281, 9609, 18, 403, 2222, 575, 411, 17, 431, 978, 16, 334, 505, 3163, 16, 22399, 8876, 33112, 14451, 2223, 18, 478, 563, 2430, 553, 2125, 953, 44709, 428, 942, 3848, 18, 42427, 25573, 11007, 10258, 38272, 18, 1606, 5658, 19640, 6458, 360, 2665, 289, 23905, 294, 4433, 4551, 16, 289, 481, 2990, 5478, 18, 14129, 1700, 639, 48504, 3328, 16, 289, 1513, 505, 32894, 910, 510, 9299, 9186, 2445, 363, 268, 18, 2949, 924, 16, 492, 14676, 2904, 16, 374, 18347, 289, 10933, 9637, 282, 2801, 1045, 25509, 282, 14613, 478, 23483, 1151, 289, 4745, 910, 4426, 5414, 3225, 8945, 9994, 289, 25754, 14561, 2793, 18, 37188, 1038, 16328, 5086, 468, 16, 374, 282, 3178, 7426, 4256 ]
[ 986, 3333, 43059, 289, 47675, 4696, 1251, 31469, 289, 4035, 4019, 898, 3819, 13689, 18, 478, 26451, 1513, 28927, 281, 9609, 16, 1426, 1963, 7499, 467, 360, 978, 16, 867, 3818, 48154, 6946, 2309, 282, 7044, 18, 365, 803, 6942, 656, 2125, 12210, 910, 510, 2815, 23024, 18, 832, 22476, 519, 978, 282, 4884, 575, 9525, 5860, 977, 7638, 17, 13522, 18522, 4412, 42413, 637, 7474, 17, 24868, 2636, 3727, 665, 542, 28327, 40499, 1034, 24651, 2711, 18, 1253, 2394, 1909, 26581, 12435, 1279, 1175, 289, 6622, 1479, 7376, 20412, 281, 1420, 16, 25865, 1234, 1106, 5299, 45281, 4268, 35805, 1656, 398, 18, 478, 1358, 537, 282, 17607, 1750, 322, 3027, 38030, 1264, 670, 24972, 4780, 2253, 6007, 924, 25867, 16, 374, 3361, 5306, 289, 1175, 2458, 2031, 758, 18, 740, 417, 6877, 798, 16, 374, 15871, 289, 3771, 1974, 33337, 282, 22704, 1033, 10400, 434, 40471, 910, 510, 16926, 1034, 24651, 2711, 18, 824, 722, 4734, 16, 360, 4111, 13951, 510, 1176, 411, 14381, 10945, 309, 3427, 294, 37739, 7080, 281, 26150, 18, 640, 5421, 1119, 1011, 978, 10744, 37597, 14831, 17, 2592, 266, 1311, 42241, 12752, 4166, 1072, 47476, 1200, 3943, 18585, 16, 374, 5906, 15258, 11701, 1011, 4256, 986, 13811, 282, 5271, 1175, 16, 428, 289, 282, 11500, 2801, 779, 16, 6881, 16, 374, 322, 9375, 2458, 18952, 2535, 18, 365, 1820, 582, 4864, 3457, 16, 374, 2852, 986, 2158, 739, 17990, 9283, 289, 20065, 12760, 7650, 3003, 19640, 6458, 360, 2665, 16, 282, 4698, 3678, 16, 411, 17, 431, 7549, 1734, 42995, 680, 28169, 382, 4090, 14769, 12457, 18, 3529, 2261, 3990, 2801, 779, 282, 14613, 16, 1029, 1655, 764, 685, 33492, 1964, 1305, 16, 10258, 38272, 334, 29933, 20458, 25088, 289, 505, 34461, 24179, 18, 365, 1609, 4543, 7650, 3455, 26593, 16, 21, 9, 1209, 36302, 21385, 16, 411, 1639, 27365, 16, 8318, 9, 5860, 887, 349, 33622, 5247, 11007, 282, 2452, 1175, 16, 4725, 5184, 5761, 9374, 21883, 17, 10594, 350, 2266, 18, 740, 26513, 2553, 322, 7650, 20526, 42178, 36987, 289, 34856, 6551, 567, 11564, 21732, 282, 1101, 2665, 18, 1598, 17, 431, 978, 1279, 2407, 898, 38052, 12435, 18, 5343, 11451, 4881, 13263, 475, 14267, 289, 12026, 1078, 448, 7272, 18, 16577, 2852, 986, 9805, 11896, 282, 6940, 445, 18519, 9808, 289, 7597, 11211, 8773, 6906, 1175, 289, 7146, 282, 19032, 5303, 25088, 18, 640, 7256, 464, 11413, 49101, 8495, 16, 282, 2114, 31010, 2904, 309, 1817, 5471, 8895, 16, 34396, 309, 2923, 25088, 281, 6175, 505, 38056, 294, 2407, 18, 478, 48390, 16, 282, 352, 1015, 1212, 289, 309, 712, 1212, 40315, 23800, 322, 9611, 2200, 18146, 16, 367, 411, 779, 282, 1205, 30657, 2625, 289, 6539, 467, 1617, 9588, 334, 15258, 680, 8540, 910, 510, 16170, 282, 37920, 18, 3026, 45950, 7597, 289, 9808, 322, 478, 431, 724, 506, 3079, 1310, 1518, 910, 367, 12327, 15258, 11701, 18, 478, 672, 1891, 11211, 48393, 24547, 11007, 289, 32880, 7340, 7376, 3260, 289, 14446, 2904, 309, 13051, 448, 5836, 282, 505, 1354, 910, 510, 48484, 282, 11896, 18, 365, 1423, 3678, 16, 8624, 7179, 5439, 6370, 16640, 2815, 16, 374, 15258, 30716, 726, 6547, 1595, 3260, 289, 309, 481, 12749, 322, 5304, 25371, 30, 537, 12435, 16, 537, 11440, 16, 537, 14075, 18, 478, 4348, 1858, 1974, 16, 289, 481, 510, 8599, 910, 510, 18789, 16640, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 4862, 10243, 34758, 5738, 16, 1029, 371, 2077, 25130, 16, 367, 1038, 17188, 1888, 15758, 10579, 21030, 18, 36017, 15703, 16, 1176, 349, 4310, 3238, 6611, 27767, 3003, 16, 322, 6597, 16, 4723, 4823, 2764, 309, 24552, 17773, 18, 41945, 18604, 2712, 5453, 10045, 448, 20495, 16, 367, 4770, 7947, 44279, 28035, 8830, 1568, 16, 21574, 1510, 27871, 4314, 20287, 18, 31224, 30, 630, 27852, 778, 17122, 2172, 282, 9937, 309, 45273, 416, 23143, 11661, 10579, 7975, 6780, 428, 16201, 282, 46961, 1767, 18, 29957, 3589, 3003, 840, 7239, 4505, 309, 23143, 7912, 2035, 16412, 15748, 18, 27414, 2172, 2871, 16678, 416, 8193, 8773, 16, 1038, 952, 3082, 869, 14379, 16559, 334, 478, 10764, 523, 825, 11135, 910, 25960, 16062, 2818, 720, 20796, 28321, 9318, 29181, 21030, 15758, 18, 365, 14613, 3235, 7975, 17190, 10579, 1943, 3604, 1038, 15258, 1602, 17, 46816, 778, 5075, 18, 365, 4542, 9268, 17529, 4186, 282, 8439, 1045, 2287, 16, 24, 9, 15258, 11701, 12002, 16, 374, 6881, 15258, 1602, 17, 46816, 778, 2200, 27293, 16, 367, 481, 17045, 9107, 4314, 3010, 454, 282, 1533, 9, 541, 371, 2478, 23741, 4090, 20458, 18, 9584, 381, 2956, 292, 1922, 6589, 6569, 685, 18566, 23111, 6317, 323, 282, 3998, 4189, 289, 29292, 12984, 4239, 2610, 18365, 523, 27635, 282, 11872, 18, 3863, 8501, 9600, 371, 19864, 1211, 1281, 15758, 17525, 24163, 366, 16, 282, 970, 2875, 289, 8338, 16, 294, 1403, 14073, 309, 26335, 16, 988, 1033, 2045, 2840, 18828, 5303, 6881, 965, 2283, 5326, 26337, 6780, 18, 38579, 10794, 6296, 12230, 1922, 10043, 5738, 13748, 294, 12652, 536, 4586, 7309, 289, 1874, 300, 857, 36441, 1251, 16527, 289, 8448, 2206, 510, 21669, 34843, 34856, 282, 46875, 2264, 2888, 20203, 5075, 16625, 18, 6592, 14371, 16, 309, 8698, 2095, 2553, 45754, 5075, 473, 1567, 12787, 1812, 8338, 13, 895, 3118, 14476, 12501, 18, 365, 3416, 6431, 2891, 16, 282, 1551, 23766, 1207, 16, 23747, 289, 567, 1209, 11443, 27491, 2628, 289, 4521, 10419, 360, 6226, 7904, 31, 10244, 1623, 1472, 10169, 16, 988, 20203, 5702, 12181, 11640, 19683, 11019, 18, 365, 39058, 12466, 16, 25760, 756, 4028, 5836, 16, 4881, 9961, 14267, 289, 4266, 290, 7197, 263, 290, 30701, 2466, 5302, 2165, 16, 49926, 290, 2567, 36133, 1037, 4912, 16, 428, 49983, 33177, 3271, 309, 47158, 6718, 7910, 1437, 294, 17143, 277, 18, 478, 11227, 25787, 9, 2786, 1265, 7219, 16, 282, 970, 2875, 14774, 33828, 16, 20774, 1223, 14833, 16, 6713, 16, 14642, 309, 12843, 6718, 18, 2387, 4302, 15251, 16, 374, 481, 3003, 15349, 45583, 5906, 910, 510, 2815, 25835, 44006, 6096, 2839, 1100, 10428, 18, 478, 39007, 16, 334, 20234, 14540, 16, 19029, 5302, 16028, 2990, 14642, 281, 17719, 309, 29011, 6718, 910, 510, 3007, 1737, 505, 42915, 15258, 718, 11919, 4137, 38460, 18, 8773, 16, 1029, 8503, 3818, 30701, 3328, 1964, 1305, 2665, 16, 48280, 36133, 13172, 4850, 968, 16, 828, 9647, 8561, 18, 365, 30562, 23852, 16590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 986, 3333, 43059, 289, 47675, 4696, 1251, 31469, 289, 4035, 4019, 898, 3819, 13689, 18, 478, 26451, 1513, 28927, 281, 9609, 16, 1426, 1963, 7499, 467, 360, 978, 16, 867, 3818, 48154, 6946, 2309, 282, 7044, 18, 365, 803, 6942, 656, 2125, 12210, 910, 510, 2815, 23024, 18, 832, 22476, 519, 978, 282, 4884, 575, 9525, 5860, 977, 7638, 17, 13522, 18522, 4412, 42413, 637, 7474, 17, 24868, 2636, 3727, 665, 542, 28327, 40499, 1034, 24651, 2711, 18, 1253, 2394, 1909, 26581, 12435, 1279, 1175, 289, 6622, 1479, 7376, 20412, 281, 1420, 16, 25865, 1234, 1106, 5299, 45281, 4268, 35805, 1656, 398, 18, 478, 1358, 537, 282, 17607, 1750, 322, 3027, 38030, 1264, 670, 24972, 4780, 2253, 6007, 924, 25867, 16, 374, 3361, 5306, 289, 1175, 2458, 2031, 758, 18, 740, 417, 6877, 798, 16, 374, 15871, 289, 3771, 1974, 33337, 282, 22704, 1033, 10400, 434, 40471, 910, 510, 16926, 1034, 24651, 2711, 18, 824, 722, 4734, 16, 360, 4111, 13951, 510, 1176, 411, 14381, 10945, 309, 3427, 294, 37739, 7080, 281, 26150, 18, 640, 5421, 1119, 1011, 978, 10744, 37597, 14831, 17, 2592, 266, 1311, 42241, 12752, 4166, 1072, 47476, 1200, 3943, 18585, 16, 374, 5906, 15258, 11701, 1011, 4256, 986, 13811, 282, 5271, 1175, 16, 428, 289, 282, 11500, 2801, 779, 16, 6881, 16, 374, 322, 9375, 2458, 18952, 2535, 18, 365, 1820, 582, 4864, 3457, 16, 374, 2852, 986, 2158, 739, 17990, 9283, 289, 20065, 12760, 7650, 3003, 19640, 6458, 360, 2665, 16, 282, 4698, 3678, 16, 411, 17, 431, 7549, 1734, 42995, 680, 28169, 382, 4090, 14769, 12457, 18, 3529, 2261, 3990, 2801, 779, 282, 14613, 16, 1029, 1655, 764, 685, 33492, 1964, 1305, 16, 10258, 38272, 334, 29933, 20458, 25088, 289, 505, 34461, 24179, 18, 365, 1609, 4543, 7650, 3455, 26593, 16, 21, 9, 1209, 36302, 21385, 16, 411, 1639, 27365, 16, 8318, 9, 5860, 887, 349, 33622, 5247, 11007, 282, 2452, 1175, 16, 4725, 5184, 5761, 9374, 21883, 17, 10594, 350, 2266, 18, 740, 26513, 2553, 322, 7650, 20526, 42178, 36987, 289, 34856, 6551, 567, 11564, 21732, 282, 1101, 2665, 18, 1598, 17, 431, 978, 1279, 2407, 898, 38052, 12435, 18, 5343, 11451, 4881, 13263, 475, 14267, 289, 12026, 1078, 448, 7272, 18, 16577, 2852, 986, 9805, 11896, 282, 6940, 445, 18519, 9808, 289, 7597, 11211, 8773, 6906, 1175, 289, 7146, 282, 19032, 5303, 25088, 18, 640, 7256, 464, 11413, 49101, 8495, 16, 282, 2114, 31010, 2904, 309, 1817, 5471, 8895, 16, 34396, 309, 2923, 25088, 281, 6175, 505, 38056, 294, 2407, 18, 478, 48390, 16, 282, 352, 1015, 1212, 289, 309, 712, 1212, 40315, 23800, 322, 9611, 2200, 18146, 16, 367, 411, 779, 282, 1205, 30657, 2625, 289, 6539, 467, 1617, 9588, 334, 15258, 680, 8540, 910, 510, 16170, 282, 37920, 18, 3026, 45950, 7597, 289, 9808, 322, 478, 431, 724, 506, 3079, 1310, 1518, 910, 367, 12327, 15258, 11701, 18, 478, 672, 1891, 11211, 48393, 24547, 11007, 289, 32880, 7340, 7376, 3260, 289, 14446, 2904, 309, 13051, 448, 5836, 282, 505, 1354, 910, 510, 48484, 282, 11896, 18, 365, 1423, 3678, 16, 8624, 7179, 5439, 6370, 16640, 2815, 16, 374, 15258, 30716, 726, 6547, 1595, 3260, 289, 309, 481, 12749, 322, 5304, 25371, 30, 537, 12435, 16, 537, 11440, 16, 537, 14075, 18, 478, 4348, 1858, 1974, 16, 289, 481, 510, 8599, 910, 510, 18789, 16640, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 4862, 10243, 34758, 5738, 16, 1029, 371, 2077, 25130, 16, 367, 1038, 17188, 1888, 15758, 10579, 21030, 18, 36017, 15703, 16, 1176, 349, 4310, 3238, 6611, 27767, 3003, 16, 322, 6597, 16, 4723, 4823, 2764, 309, 24552, 17773, 18, 41945, 18604, 2712, 5453, 10045, 448, 20495, 16, 367, 4770, 7947, 44279, 28035, 8830, 1568, 16, 21574, 1510, 27871, 4314, 20287, 18, 31224, 30, 630, 27852, 778, 17122, 2172, 282, 9937, 309, 45273, 416, 23143, 11661, 10579, 7975, 6780, 428, 16201, 282, 46961, 1767, 18, 29957, 3589, 3003, 840, 7239, 4505, 309, 23143, 7912, 2035, 16412, 15748, 18, 27414, 2172, 2871, 16678, 416, 8193, 8773, 16, 1038, 952, 3082, 869, 14379, 16559, 334, 478, 10764, 523, 825, 11135, 910, 25960, 16062, 2818, 720, 20796, 28321, 9318, 29181, 21030, 15758, 18, 365, 14613, 3235, 7975, 17190, 10579, 1943, 3604, 1038, 15258, 1602, 17, 46816, 778, 5075, 18, 365, 4542, 9268, 17529, 4186, 282, 8439, 1045, 2287, 16, 24, 9, 15258, 11701, 12002, 16, 374, 6881, 15258, 1602, 17, 46816, 778, 2200, 27293, 16, 367, 481, 17045, 9107, 4314, 3010, 454, 282, 1533, 9, 541, 371, 2478, 23741, 4090, 20458, 18, 9584, 381, 2956, 292, 1922, 6589, 6569, 685, 18566, 23111, 6317, 323, 282, 3998, 4189, 289, 29292, 12984, 4239, 2610, 18365, 523, 27635, 282, 11872, 18, 3863, 8501, 9600, 371, 19864, 1211, 1281, 15758, 17525, 24163, 366, 16, 282, 970, 2875, 289, 8338, 16, 294, 1403, 14073, 309, 26335, 16, 988, 1033, 2045, 2840, 18828, 5303, 6881, 965, 2283, 5326, 26337, 6780, 18, 38579, 10794, 6296, 12230, 1922, 10043, 5738, 13748, 294, 12652, 536, 4586, 7309, 289, 1874, 300, 857, 36441, 1251, 16527, 289, 8448, 2206, 510, 21669, 34843, 34856, 282, 46875, 2264, 2888, 20203, 5075, 16625, 18, 6592, 14371, 16, 309, 8698, 2095, 2553, 45754, 5075, 473, 1567, 12787, 1812, 8338, 13, 895, 3118, 14476, 12501, 18, 365, 3416, 6431, 2891, 16, 282, 1551, 23766, 1207, 16, 23747, 289, 567, 1209, 11443, 27491, 2628, 289, 4521, 10419, 360, 6226, 7904, 31, 10244, 1623, 1472, 10169, 16, 988, 20203, 5702, 12181, 11640, 19683, 11019, 18, 365, 39058, 12466, 16, 25760, 756, 4028, 5836, 16, 4881, 9961, 14267, 289, 4266, 290, 7197, 263, 290, 30701, 2466, 5302, 2165, 16, 49926, 290, 2567, 36133, 1037, 4912, 16, 428, 49983, 33177, 3271, 309, 47158, 6718, 7910, 1437, 294, 17143, 277, 18, 478, 11227, 25787, 9, 2786, 1265, 7219, 16, 282, 970, 2875, 14774, 33828, 16, 20774, 1223, 14833, 16, 6713, 16, 14642, 309, 12843, 6718, 18, 2387, 4302, 15251, 16, 374, 481, 3003, 15349, 45583, 5906, 910, 510, 2815, 25835, 44006, 6096, 2839, 1100, 10428, 18, 478, 39007, 16, 334, 20234, 14540, 16, 19029, 5302, 16028, 2990, 14642, 281, 17719, 309, 29011, 6718, 910, 510, 3007, 1737, 505, 42915, 15258, 718, 11919, 4137, 38460, 18, 8773, 16, 1029, 8503, 3818, 30701, 3328, 1964, 1305, 2665, 16, 48280, 36133, 13172, 4850, 968, 16, 828, 9647, 8561, 18, 365, 30562, 23852, 16590 ]
[ 37766, 9404, 16, 1586, 2879, 519, 3802, 50072, 14057, 29181, 5738, 18, 478, 672, 947, 9862, 27497, 505, 3343, 35710, 27526, 14600, 18, 3397, 656, 19041, 7964, 870, 28738, 16, 510, 2815, 309, 17032, 15258, 778, 7638, 15626, 12020, 32638, 18, 510, 740, 656, 4573, 29089, 9980, 3674, 18, 1787, 813, 20251, 11758, 34782, 289, 14561, 26017, 8570, 19079, 4135, 861, 832, 2135, 39767, 15258, 718, 12457, 13365, 2773, 16, 7260, 16, 867, 16, 374, 1336, 16, 5938, 1097, 22897, 14371, 16, 4128, 8481, 24999, 1272, 21030, 6780, 281, 7077, 26811, 37179, 18, 459, 827, 4193, 309, 8338, 942, 5848, 2702, 478, 2592, 1242, 910, 502, 281, 15258, 1602, 17, 46816, 1703, 19197, 3237, 1578, 3860, 30, 334, 14371, 281, 4160, 20420, 779, 475, 1087, 10614, 3793, 282, 14613, 15434, 3751, 322, 687, 8338, 16, 515, 289, 15258, 1602, 17, 46816, 778, 5075, 18, 640, 1247, 14824, 290, 970, 16, 428, 9013, 5494, 294, 33403, 3741, 12794, 16, 15626, 12020, 32638, 2715, 282, 9937, 13327, 30, 478, 35241, 1080, 19463, 273, 691, 861, 21575, 16, 8084, 16, 2963, 2023, 334, 17, 46816, 1465, 478, 34913, 1080, 1003, 910, 515, 322, 2946, 16, 374, 3702, 478, 34913, 23282, 470, 45682, 309, 1177, 5075, 478, 482, 9055, 310, 320, 861, 41651, 16, 374, 6156, 549, 33035, 5494, 1038, 29048, 387, 8467, 40762, 19703, 30, 17708, 5500, 281, 5791, 353, 27827, 309, 6718, 26337, 15185, 24163, 624, 16, 8887, 502, 8338, 16, 15258, 1602, 17, 46816, 778, 16, 28298, 778, 473, 275, 3877, 441, 19308, 680, 1767, 13, 670, 28665, 24112, 473, 275, 47888, 9052, 761, 814, 1303, 5574, 16134, 29125, 6431, 7233, 2891, 2125, 4747, 1920, 309, 1281, 15758, 23277, 4780, 5101, 366, 16, 6895, 2950, 13937, 448, 1765, 10502, 670, 8374, 406, 778, 18, 2861, 857, 290, 1533, 17, 45900, 416, 3010, 582, 541, 20961, 16201, 6780, 23425, 322, 687, 309, 1767, 16, 515, 289, 309, 2708, 1527, 49402, 24314, 18, 3647, 282, 23742, 12825, 7190, 23277, 4780, 5101, 366, 1698, 20612, 16, 294, 7555, 16, 360, 5129, 8197, 6612, 564, 334, 697, 6619, 309, 8374, 406, 1212, 16, 25288, 1212, 16, 33288, 670, 7602, 301, 16, 367, 19516, 6431, 10162, 20931, 15434, 14833, 281, 1576, 4963, 309, 13232, 547, 773, 47158, 6718, 18, 640, 9837, 1119, 3285, 1880, 7441, 39310, 27809, 38973, 2508, 282, 3941, 1922, 8205, 14471, 16, 289, 935, 1033, 924, 510, 14394, 16, 374, 1568, 19739, 869, 349, 28545, 282, 9294, 312, 4019, 7823, 16, 17973, 294, 42069, 18, 3739, 309, 10649, 20594, 282, 34512, 5738, 381, 2956, 292, 1922, 6589, 6569, 1524, 6436, 12679, 20075, 1279, 505, 13595, 18, 478, 11636, 1250, 5115, 322, 41657, 31450, 8990, 505, 7446, 16, 515, 16, 334, 7168, 25036, 16, 481, 17, 360, 1912, 519, 2123, 5096, 25556, 47568, 21, 16, 25, 17, 22, 16, 21, 5096, 13, 282, 1205, 910, 510, 1576, 12143, 309, 6612, 6585, 282, 2086, 476, 7996, 6660, 15352, 6365, 8752, 15363, 15310, 6365, 18182, 504, 2796, 364, 401, 18, 5043, 309, 11630, 722, 33975, 1655, 322, 21519, 326, 18, 640, 10649, 8547, 5738, 294, 9565, 1433, 18813, 4000, 8501, 3424, 26054, 477, 1839, 27927, 22140, 510, 290, 24829, 40032, 505, 23925, 282, 3941, 46557, 935, 8811, 6937, 4830, 18, 478, 1295, 1821, 7124, 2301, 505, 32037, 322, 2574, 9480, 281, 12128, 2206, 16, 4075, 353, 12128, 5355, 5129, 289, 46052, 25389, 16, 282, 4810, 281, 44090, 32549, 23463, 21030, 15758, 289, 15758, 17525, 24163, 366, 910, 510, 1576, 12143, 282, 13186, 22294, 4830, 12510, 14524, 883, 2606, 273, 18, 15425, 1374, 1038, 290, 13344, 770, 49640, 15778, 1778, 371, 35370, 5738, 282, 23111, 351, 476, 16, 1660, 639, 2702, 541, 505, 282, 2439, 2682, 12984, 18, 365, 6031, 7947, 44279, 475, 575, 14900, 1568, 16, 19790, 1579, 16, 8084, 16, 41702, 12594, 4869, 18, 1787, 43984, 39058, 12466, 16, 1586, 3419, 309, 31177, 1133, 12760, 1133, 11031, 281, 322, 14088, 32335, 3286, 7771, 16391, 8434, 16, 4748, 18255, 42426, 3801, 274, 6792, 44509, 299, 1155, 289, 8051, 15230, 1634, 27803, 432, 11841, 883, 18, 439, 25790, 290, 35885, 20458, 7975, 6780, 11960, 8067, 8030, 16, 828, 16, 294, 7555, 16, 290, 4132, 13882, 42457, 36661, 2553, 18, 4530, 867, 9770, 2665, 10219, 16, 374, 16718, 12252, 5090, 5738, 282, 505, 23587, 12380, 8166, 26606, 18, 44279, 726, 2815, 16, 374, 282, 10264, 808, 25760, 2712, 24300, 6296, 12230, 4090, 1922, 10043, 5115, 18, 478, 4441, 322, 2462, 429, 18, 1178, 840, 2003, 18894, 3888, 26119, 282, 1177, 1568, 16, 656, 481, 21882, 910, 510, 9848, 492, 10552, 16, 1720, 6686, 281, 42176, 282, 45072, 18, 365, 10666, 282, 2974, 353, 404, 906, 15622, 34444, 4786, 334, 13148, 4090, 35216, 16, 1029, 16, 428, 19988, 16, 840, 16292, 21935, 282, 11130, 18, 2, 1, 87, 1456, 81, 2448, 30, 36468, 306, 3045, 4944, 2052, 375, 4848, 290, 19872, 25784, 281, 2835, 36034, 329, 47712, 12097, 13369, 884, 16, 5076, 2555, 4238, 22716, 7640, 986, 18, 365, 4101, 3142, 25372, 1965, 13903, 7695, 6402, 12667, 289, 10919, 35070, 16, 282, 29103, 7337, 492, 475, 808, 10662, 290, 45099, 8037, 16, 411, 17, 431, 1754, 505, 2641, 24542, 289, 23253, 484, 18, 31224, 30, 17561, 2818, 15375, 1159, 36989, 13369, 888, 22716, 7640, 986, 18, 23440, 808, 25372, 6900, 297, 309, 17523, 289, 13903, 42053, 28654, 14311, 442, 10776, 289, 3118, 9473, 360, 45989, 18, 365, 3709, 411, 2500, 27867, 7337, 16, 13369, 375, 41840, 309, 2159, 8884, 16, 26388, 309, 3860, 24788, 2926, 18, 824, 3163, 47712, 16, 14265, 322, 1194, 12784, 975, 49749, 4612, 16, 282, 2630, 281, 828, 975, 6110, 11203, 281, 15717, 7557, 18, 7886, 306, 3045, 478, 17007, 2449, 346, 3598, 470, 4944, 2052, 375, 4848, 290, 970, 16, 374, 492, 9414, 4366, 13369, 888, 18, 2052, 375, 11661, 16, 374, 329, 10689, 6374, 17, 292, 2826, 14440, 3860, 16, 2686, 16, 334, 505, 4734, 16, 481, 3860, 2835, 11805, 9766, 30, 478, 1140, 12097, 14440, 3860, 281, 2835, 36034, 18, 5360, 3538, 335, 847, 16, 374, 329, 1047, 3857, 23253, 484, 289, 24542, 2641, 18, 1345, 505, 1240, 925, 334, 40801, 16, 745, 1329, 322, 6371, 861, 817, 1038, 4725, 16, 374, 281, 15375, 5411, 2438, 939, 6392, 3111, 16, 3387, 1500, 1559, 43639, 34899, 526, 19360, 289, 351, 307, 11105, 16, 42984, 2911, 9486, 274, 475, 9868, 975, 4366 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 37766, 9404, 16, 1586, 2879, 519, 3802, 50072, 14057, 29181, 5738, 18, 478, 672, 947, 9862, 27497, 505, 3343, 35710, 27526, 14600, 18, 3397, 656, 19041, 7964, 870, 28738, 16, 510, 2815, 309, 17032, 15258, 778, 7638, 15626, 12020, 32638, 18, 510, 740, 656, 4573, 29089, 9980, 3674, 18, 1787, 813, 20251, 11758, 34782, 289, 14561, 26017, 8570, 19079, 4135, 861, 832, 2135, 39767, 15258, 718, 12457, 13365, 2773, 16, 7260, 16, 867, 16, 374, 1336, 16, 5938, 1097, 22897, 14371, 16, 4128, 8481, 24999, 1272, 21030, 6780, 281, 7077, 26811, 37179, 18, 459, 827, 4193, 309, 8338, 942, 5848, 2702, 478, 2592, 1242, 910, 502, 281, 15258, 1602, 17, 46816, 1703, 19197, 3237, 1578, 3860, 30, 334, 14371, 281, 4160, 20420, 779, 475, 1087, 10614, 3793, 282, 14613, 15434, 3751, 322, 687, 8338, 16, 515, 289, 15258, 1602, 17, 46816, 778, 5075, 18, 640, 1247, 14824, 290, 970, 16, 428, 9013, 5494, 294, 33403, 3741, 12794, 16, 15626, 12020, 32638, 2715, 282, 9937, 13327, 30, 478, 35241, 1080, 19463, 273, 691, 861, 21575, 16, 8084, 16, 2963, 2023, 334, 17, 46816, 1465, 478, 34913, 1080, 1003, 910, 515, 322, 2946, 16, 374, 3702, 478, 34913, 23282, 470, 45682, 309, 1177, 5075, 478, 482, 9055, 310, 320, 861, 41651, 16, 374, 6156, 549, 33035, 5494, 1038, 29048, 387, 8467, 40762, 19703, 30, 17708, 5500, 281, 5791, 353, 27827, 309, 6718, 26337, 15185, 24163, 624, 16, 8887, 502, 8338, 16, 15258, 1602, 17, 46816, 778, 16, 28298, 778, 473, 275, 3877, 441, 19308, 680, 1767, 13, 670, 28665, 24112, 473, 275, 47888, 9052, 761, 814, 1303, 5574, 16134, 29125, 6431, 7233, 2891, 2125, 4747, 1920, 309, 1281, 15758, 23277, 4780, 5101, 366, 16, 6895, 2950, 13937, 448, 1765, 10502, 670, 8374, 406, 778, 18, 2861, 857, 290, 1533, 17, 45900, 416, 3010, 582, 541, 20961, 16201, 6780, 23425, 322, 687, 309, 1767, 16, 515, 289, 309, 2708, 1527, 49402, 24314, 18, 3647, 282, 23742, 12825, 7190, 23277, 4780, 5101, 366, 1698, 20612, 16, 294, 7555, 16, 360, 5129, 8197, 6612, 564, 334, 697, 6619, 309, 8374, 406, 1212, 16, 25288, 1212, 16, 33288, 670, 7602, 301, 16, 367, 19516, 6431, 10162, 20931, 15434, 14833, 281, 1576, 4963, 309, 13232, 547, 773, 47158, 6718, 18, 640, 9837, 1119, 3285, 1880, 7441, 39310, 27809, 38973, 2508, 282, 3941, 1922, 8205, 14471, 16, 289, 935, 1033, 924, 510, 14394, 16, 374, 1568, 19739, 869, 349, 28545, 282, 9294, 312, 4019, 7823, 16, 17973, 294, 42069, 18, 3739, 309, 10649, 20594, 282, 34512, 5738, 381, 2956, 292, 1922, 6589, 6569, 1524, 6436, 12679, 20075, 1279, 505, 13595, 18, 478, 11636, 1250, 5115, 322, 41657, 31450, 8990, 505, 7446, 16, 515, 16, 334, 7168, 25036, 16, 481, 17, 360, 1912, 519, 2123, 5096, 25556, 47568, 21, 16, 25, 17, 22, 16, 21, 5096, 13, 282, 1205, 910, 510, 1576, 12143, 309, 6612, 6585, 282, 2086, 476, 7996, 6660, 15352, 6365, 8752, 15363, 15310, 6365, 18182, 504, 2796, 364, 401, 18, 5043, 309, 11630, 722, 33975, 1655, 322, 21519, 326, 18, 640, 10649, 8547, 5738, 294, 9565, 1433, 18813, 4000, 8501, 3424, 26054, 477, 1839, 27927, 22140, 510, 290, 24829, 40032, 505, 23925, 282, 3941, 46557, 935, 8811, 6937, 4830, 18, 478, 1295, 1821, 7124, 2301, 505, 32037, 322, 2574, 9480, 281, 12128, 2206, 16, 4075, 353, 12128, 5355, 5129, 289, 46052, 25389, 16, 282, 4810, 281, 44090, 32549, 23463, 21030, 15758, 289, 15758, 17525, 24163, 366, 910, 510, 1576, 12143, 282, 13186, 22294, 4830, 12510, 14524, 883, 2606, 273, 18, 15425, 1374, 1038, 290, 13344, 770, 49640, 15778, 1778, 371, 35370, 5738, 282, 23111, 351, 476, 16, 1660, 639, 2702, 541, 505, 282, 2439, 2682, 12984, 18, 365, 6031, 7947, 44279, 475, 575, 14900, 1568, 16, 19790, 1579, 16, 8084, 16, 41702, 12594, 4869, 18, 1787, 43984, 39058, 12466, 16, 1586, 3419, 309, 31177, 1133, 12760, 1133, 11031, 281, 322, 14088, 32335, 3286, 7771, 16391, 8434, 16, 4748, 18255, 42426, 3801, 274, 6792, 44509, 299, 1155, 289, 8051, 15230, 1634, 27803, 432, 11841, 883, 18, 439, 25790, 290, 35885, 20458, 7975, 6780, 11960, 8067, 8030, 16, 828, 16, 294, 7555, 16, 290, 4132, 13882, 42457, 36661, 2553, 18, 4530, 867, 9770, 2665, 10219, 16, 374, 16718, 12252, 5090, 5738, 282, 505, 23587, 12380, 8166, 26606, 18, 44279, 726, 2815, 16, 374, 282, 10264, 808, 25760, 2712, 24300, 6296, 12230, 4090, 1922, 10043, 5115, 18, 478, 4441, 322, 2462, 429, 18, 1178, 840, 2003, 18894, 3888, 26119, 282, 1177, 1568, 16, 656, 481, 21882, 910, 510, 9848, 492, 10552, 16, 1720, 6686, 281, 42176, 282, 45072, 18, 365, 10666, 282, 2974, 353, 404, 906, 15622, 34444, 4786, 334, 13148, 4090, 35216, 16, 1029, 16, 428, 19988, 16, 840, 16292, 21935, 282, 11130, 18, 2, 1, 87, 1456, 81, 2448, 30, 36468, 306, 3045, 4944, 2052, 375, 4848, 290, 19872, 25784, 281, 2835, 36034, 329, 47712, 12097, 13369, 884, 16, 5076, 2555, 4238, 22716, 7640, 986, 18, 365, 4101, 3142, 25372, 1965, 13903, 7695, 6402, 12667, 289, 10919, 35070, 16, 282, 29103, 7337, 492, 475, 808, 10662, 290, 45099, 8037, 16, 411, 17, 431, 1754, 505, 2641, 24542, 289, 23253, 484, 18, 31224, 30, 17561, 2818, 15375, 1159, 36989, 13369, 888, 22716, 7640, 986, 18, 23440, 808, 25372, 6900, 297, 309, 17523, 289, 13903, 42053, 28654, 14311, 442, 10776, 289, 3118, 9473, 360, 45989, 18, 365, 3709, 411, 2500, 27867, 7337, 16, 13369, 375, 41840, 309, 2159, 8884, 16, 26388, 309, 3860, 24788, 2926, 18, 824, 3163, 47712, 16, 14265, 322, 1194, 12784, 975, 49749, 4612, 16, 282, 2630, 281, 828, 975, 6110, 11203, 281, 15717, 7557, 18, 7886, 306, 3045, 478, 17007, 2449, 346, 3598, 470, 4944, 2052, 375, 4848, 290, 970, 16, 374, 492, 9414, 4366, 13369, 888, 18, 2052, 375, 11661, 16, 374, 329, 10689, 6374, 17, 292, 2826, 14440, 3860, 16, 2686, 16, 334, 505, 4734, 16, 481, 3860, 2835, 11805, 9766, 30, 478, 1140, 12097, 14440, 3860, 281, 2835, 36034, 18, 5360, 3538, 335, 847, 16, 374, 329, 1047, 3857, 23253, 484, 289, 24542, 2641, 18, 1345, 505, 1240, 925, 334, 40801, 16, 745, 1329, 322, 6371, 861, 817, 1038, 4725, 16, 374, 281, 15375, 5411, 2438, 939, 6392, 3111, 16, 3387, 1500, 1559, 43639, 34899, 526, 19360, 289, 351, 307, 11105, 16, 42984, 2911, 9486, 274, 475, 9868, 975, 4366 ]
[ 16, 3110, 10958, 951, 1091, 1572, 18, 824, 23650, 3352, 16, 5612, 275, 16996, 16, 13369, 375, 685, 11189, 11534, 21398, 11608, 289, 30652, 319, 1617, 9521, 14351, 13495, 18, 1598, 592, 2198, 11244, 329, 38639, 8824, 2197, 5876, 1162, 17364, 18, 640, 5734, 2083, 8970, 10664, 451, 7897, 22184, 47712, 510, 5184, 1133, 360, 24573, 281, 505, 13368, 16, 961, 289, 1800, 8252, 21029, 289, 36888, 6225, 18, 967, 9067, 4116, 6543, 2514, 18890, 20700, 12490, 48759, 38639, 8181, 43104, 36847, 487, 320, 4210, 26319, 282, 27561, 281, 41271, 2832, 84, 18, 1572, 18, 26319, 25482, 16, 374, 4813, 309, 21072, 16175, 26208, 289, 5907, 3400, 442, 7219, 16, 749, 11510, 9396, 26555, 4782, 16, 9541, 17, 40000, 4433, 8280, 315, 17, 1013, 1666, 3643, 42469, 17514, 13369, 884, 16, 492, 7006, 520, 373, 5195, 289, 11693, 924, 9792, 18, 478, 677, 9450, 485, 6374, 17, 263, 16, 753, 8735, 289, 2224, 1923, 33905, 411, 4286, 46419, 486, 16, 9631, 7309, 6898, 349, 9091, 6228, 12512, 309, 6653, 289, 32806, 18, 15223, 8603, 3202, 3467, 687, 8460, 4999, 472, 4970, 344, 16, 36937, 29049, 16, 10196, 3975, 401, 18, 5850, 3276, 16, 282, 970, 2875, 289, 13369, 888, 16, 6898, 10691, 910, 510, 4848, 492, 18, 26319, 1038, 4848, 16, 374, 5931, 281, 13369, 265, 536, 282, 6374, 17, 263, 3142, 16, 17162, 975, 35070, 334, 20007, 1528, 18, 478, 30461, 2023, 16, 374, 281, 1047, 9601, 3476, 30583, 12750, 434, 2405, 6194, 3850, 16, 510, 10117, 4322, 18, 510, 385, 41357, 309, 46133, 1494, 986, 455, 5557, 18, 21759, 274, 3708, 16, 5464, 1909, 349, 5794, 18, 740, 583, 13369, 375, 685, 16417, 18, 889, 685, 12592, 505, 26938, 16, 289, 36618, 24144, 10397, 267, 1214, 16, 9904, 11218, 42984, 2911, 289, 935, 8607, 24226, 18, 12020, 349, 1533, 1879, 519, 33678, 2471, 316, 521, 8438, 30, 478, 672, 412, 389, 452, 47169, 16, 329, 703, 10242, 24535, 4271, 439, 1749, 282, 6900, 12503, 16, 785, 1808, 16, 785, 1143, 861, 824, 3163, 2405, 6194, 3850, 16, 1717, 1655, 12605, 751, 5487, 15661, 505, 8037, 498, 478, 46937, 16, 374, 492, 322, 2564, 12599, 281, 15120, 323, 25184, 16, 1586, 505, 27998, 2210, 18, 640, 27521, 303, 1751, 656, 309, 7444, 28796, 24439, 16, 1548, 374, 11667, 34974, 1166, 8961, 2774, 375, 16, 309, 2114, 492, 6448, 10042, 334, 10856, 18, 817, 37481, 322, 1139, 25322, 36194, 16, 309, 1047, 47416, 9388, 2899, 5, 459, 13369, 375, 411, 8660, 434, 11686, 18236, 282, 28161, 434, 16, 1195, 503, 434, 1631, 910, 510, 1109, 26319, 18, 27705, 38639, 13737, 16, 374, 5975, 505, 18804, 15162, 282, 6982, 1045, 18, 365, 502, 808, 492, 30355, 1737, 6402, 15403, 478, 35695, 17, 43589, 910, 367, 971, 6054, 23497, 722, 13997, 404, 23135, 2557, 18, 13925, 492, 6463, 23135, 2557, 1176, 411, 722, 10235, 442, 7219, 478, 17007, 17, 332, 17, 332, 861, 478, 8244, 281, 1258, 4068, 898, 11206, 16, 515, 475, 6418, 16, 4080, 9349, 13698, 3955, 4944, 5185, 309, 23135, 2557, 18, 1178, 373, 322, 492, 16, 7006, 520, 373, 722, 30583, 1011, 14631, 411, 478, 983, 19182, 4687, 470, 28784, 373, 453, 8103, 910, 510, 16926, 35996, 34798, 18, 824, 3163, 2405, 6194, 3850, 11785, 756, 16, 13369, 375, 289, 1314, 757, 373, 23468, 18048, 16, 827, 373, 322, 36782, 360, 1209, 17929, 18, 478, 4182, 17, 299, 417, 14839, 975, 16, 20824, 309, 46133, 16, 510, 1109, 26319, 18, 510, 4944, 7799, 1757, 6485, 2715, 30, 478, 618, 374, 387, 784, 2890, 11567, 5433, 629, 5755, 30, 478, 2479, 2634, 7307, 349, 18804, 861, 640, 374, 13369, 375, 2548, 30, 478, 9256, 289, 764, 445, 1003, 5, 2465, 481, 322, 42126, 4271, 459, 8543, 3389, 3692, 18, 439, 505, 7187, 3333, 18, 1178, 373, 13369, 375, 5264, 16, 25241, 329, 1047, 639, 373, 1269, 861, 2, 1, 87, 1456, 81, 2448, 30, 24775, 1162, 17395, 10232, 282, 965, 16, 8337, 341, 9293, 17048, 282, 2100, 21907, 1901, 23025, 845, 670, 40443, 1803, 303, 540, 542, 289, 14828, 294, 14077, 5855, 35523, 18, 17935, 16741, 21294, 1747, 2141, 1143, 35739, 35025, 4189, 18, 5181, 16, 1011, 978, 27917, 48407, 2849, 478, 17827, 24970, 382, 11593, 2500, 1803, 303, 540, 305, 289, 18222, 37649, 448, 34049, 18, 31224, 30, 677, 10882, 16, 4055, 3598, 16, 282, 3187, 4267, 9804, 11440, 2961, 267, 847, 519, 1409, 6837, 6322, 941, 266, 18, 422, 18, 985, 40530, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 470, 1624, 411, 17, 431, 978, 6621, 7081, 2597, 298, 305, 3545, 30, 7760, 19988, 4668, 5759, 655, 15, 6462, 5448, 563, 473, 315, 14858, 4668, 29, 655, 15, 3940, 5448, 563, 814, 10655, 4133, 10223, 4040, 30743, 24261, 16, 367, 481, 16, 282, 1423, 3678, 16, 37423, 18595, 34049, 289, 5564, 276, 510, 14612, 7760, 18, 1598, 17, 431, 2441, 3244, 16, 1586, 1494, 9307, 1188, 5564, 323, 16, 27902, 840, 10659, 1920, 764, 5992, 16, 453, 374, 1514, 13081, 2854, 360, 27351, 17, 31512, 10442, 12615, 670, 18846, 6431, 22783, 2353, 953, 282, 35856, 404, 4850, 968, 18, 23544, 5426, 10802, 432, 19565, 16, 23696, 16, 7760, 7395, 2234, 16, 9839, 17, 12212, 2234, 16, 816, 443, 28, 308, 19, 267, 16, 371, 5564, 263, 510, 10592, 420, 8523, 18, 12167, 46915, 12776, 21294, 3068, 341, 18503, 451, 48281, 30, 4275, 412, 9862, 6295, 282, 3507, 11534, 322, 25190, 18, 13630, 2299, 10802, 549, 1137, 5090, 16, 7760, 17119, 37649, 451, 11511, 16, 322, 3947, 798, 49244, 18, 981, 25062, 20688, 510, 10952, 21, 6322, 941, 266, 18, 422, 2211, 6978, 282, 11877, 1382, 5937, 16, 282, 11084, 510, 9839, 17, 12212, 2234, 16, 5826, 2299, 7872, 7077, 19431, 16, 816, 443, 28, 308, 19, 267, 18, 36748, 7097, 5426, 4668, 29, 655, 15, 3940, 5448, 563, 16, 7760, 4668, 5759, 655, 15, 6462, 5448, 563, 18, 14317, 22860, 21427, 289, 1064, 16064, 2398, 2172, 7790, 309, 32844, 29610, 346, 16, 1029, 8192, 281, 1912, 18, 646, 282, 870, 1272, 2299, 282, 17062, 478, 44641, 380, 1157, 861, 2555, 3598, 16, 10666, 16, 322, 4040, 10244, 282, 16861, 263, 21637, 16, 515, 30743, 24261, 24628, 18, 365, 1177, 1119, 19988, 10802, 549, 1137, 5090, 16, 37649, 451, 11511, 16, 17119, 25753, 49244, 18, 36748, 7097, 5426, 4668, 3572, 655, 15 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 3110, 10958, 951, 1091, 1572, 18, 824, 23650, 3352, 16, 5612, 275, 16996, 16, 13369, 375, 685, 11189, 11534, 21398, 11608, 289, 30652, 319, 1617, 9521, 14351, 13495, 18, 1598, 592, 2198, 11244, 329, 38639, 8824, 2197, 5876, 1162, 17364, 18, 640, 5734, 2083, 8970, 10664, 451, 7897, 22184, 47712, 510, 5184, 1133, 360, 24573, 281, 505, 13368, 16, 961, 289, 1800, 8252, 21029, 289, 36888, 6225, 18, 967, 9067, 4116, 6543, 2514, 18890, 20700, 12490, 48759, 38639, 8181, 43104, 36847, 487, 320, 4210, 26319, 282, 27561, 281, 41271, 2832, 84, 18, 1572, 18, 26319, 25482, 16, 374, 4813, 309, 21072, 16175, 26208, 289, 5907, 3400, 442, 7219, 16, 749, 11510, 9396, 26555, 4782, 16, 9541, 17, 40000, 4433, 8280, 315, 17, 1013, 1666, 3643, 42469, 17514, 13369, 884, 16, 492, 7006, 520, 373, 5195, 289, 11693, 924, 9792, 18, 478, 677, 9450, 485, 6374, 17, 263, 16, 753, 8735, 289, 2224, 1923, 33905, 411, 4286, 46419, 486, 16, 9631, 7309, 6898, 349, 9091, 6228, 12512, 309, 6653, 289, 32806, 18, 15223, 8603, 3202, 3467, 687, 8460, 4999, 472, 4970, 344, 16, 36937, 29049, 16, 10196, 3975, 401, 18, 5850, 3276, 16, 282, 970, 2875, 289, 13369, 888, 16, 6898, 10691, 910, 510, 4848, 492, 18, 26319, 1038, 4848, 16, 374, 5931, 281, 13369, 265, 536, 282, 6374, 17, 263, 3142, 16, 17162, 975, 35070, 334, 20007, 1528, 18, 478, 30461, 2023, 16, 374, 281, 1047, 9601, 3476, 30583, 12750, 434, 2405, 6194, 3850, 16, 510, 10117, 4322, 18, 510, 385, 41357, 309, 46133, 1494, 986, 455, 5557, 18, 21759, 274, 3708, 16, 5464, 1909, 349, 5794, 18, 740, 583, 13369, 375, 685, 16417, 18, 889, 685, 12592, 505, 26938, 16, 289, 36618, 24144, 10397, 267, 1214, 16, 9904, 11218, 42984, 2911, 289, 935, 8607, 24226, 18, 12020, 349, 1533, 1879, 519, 33678, 2471, 316, 521, 8438, 30, 478, 672, 412, 389, 452, 47169, 16, 329, 703, 10242, 24535, 4271, 439, 1749, 282, 6900, 12503, 16, 785, 1808, 16, 785, 1143, 861, 824, 3163, 2405, 6194, 3850, 16, 1717, 1655, 12605, 751, 5487, 15661, 505, 8037, 498, 478, 46937, 16, 374, 492, 322, 2564, 12599, 281, 15120, 323, 25184, 16, 1586, 505, 27998, 2210, 18, 640, 27521, 303, 1751, 656, 309, 7444, 28796, 24439, 16, 1548, 374, 11667, 34974, 1166, 8961, 2774, 375, 16, 309, 2114, 492, 6448, 10042, 334, 10856, 18, 817, 37481, 322, 1139, 25322, 36194, 16, 309, 1047, 47416, 9388, 2899, 5, 459, 13369, 375, 411, 8660, 434, 11686, 18236, 282, 28161, 434, 16, 1195, 503, 434, 1631, 910, 510, 1109, 26319, 18, 27705, 38639, 13737, 16, 374, 5975, 505, 18804, 15162, 282, 6982, 1045, 18, 365, 502, 808, 492, 30355, 1737, 6402, 15403, 478, 35695, 17, 43589, 910, 367, 971, 6054, 23497, 722, 13997, 404, 23135, 2557, 18, 13925, 492, 6463, 23135, 2557, 1176, 411, 722, 10235, 442, 7219, 478, 17007, 17, 332, 17, 332, 861, 478, 8244, 281, 1258, 4068, 898, 11206, 16, 515, 475, 6418, 16, 4080, 9349, 13698, 3955, 4944, 5185, 309, 23135, 2557, 18, 1178, 373, 322, 492, 16, 7006, 520, 373, 722, 30583, 1011, 14631, 411, 478, 983, 19182, 4687, 470, 28784, 373, 453, 8103, 910, 510, 16926, 35996, 34798, 18, 824, 3163, 2405, 6194, 3850, 11785, 756, 16, 13369, 375, 289, 1314, 757, 373, 23468, 18048, 16, 827, 373, 322, 36782, 360, 1209, 17929, 18, 478, 4182, 17, 299, 417, 14839, 975, 16, 20824, 309, 46133, 16, 510, 1109, 26319, 18, 510, 4944, 7799, 1757, 6485, 2715, 30, 478, 618, 374, 387, 784, 2890, 11567, 5433, 629, 5755, 30, 478, 2479, 2634, 7307, 349, 18804, 861, 640, 374, 13369, 375, 2548, 30, 478, 9256, 289, 764, 445, 1003, 5, 2465, 481, 322, 42126, 4271, 459, 8543, 3389, 3692, 18, 439, 505, 7187, 3333, 18, 1178, 373, 13369, 375, 5264, 16, 25241, 329, 1047, 639, 373, 1269, 861, 2, 1, 87, 1456, 81, 2448, 30, 24775, 1162, 17395, 10232, 282, 965, 16, 8337, 341, 9293, 17048, 282, 2100, 21907, 1901, 23025, 845, 670, 40443, 1803, 303, 540, 542, 289, 14828, 294, 14077, 5855, 35523, 18, 17935, 16741, 21294, 1747, 2141, 1143, 35739, 35025, 4189, 18, 5181, 16, 1011, 978, 27917, 48407, 2849, 478, 17827, 24970, 382, 11593, 2500, 1803, 303, 540, 305, 289, 18222, 37649, 448, 34049, 18, 31224, 30, 677, 10882, 16, 4055, 3598, 16, 282, 3187, 4267, 9804, 11440, 2961, 267, 847, 519, 1409, 6837, 6322, 941, 266, 18, 422, 18, 985, 40530, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 470, 1624, 411, 17, 431, 978, 6621, 7081, 2597, 298, 305, 3545, 30, 7760, 19988, 4668, 5759, 655, 15, 6462, 5448, 563, 473, 315, 14858, 4668, 29, 655, 15, 3940, 5448, 563, 814, 10655, 4133, 10223, 4040, 30743, 24261, 16, 367, 481, 16, 282, 1423, 3678, 16, 37423, 18595, 34049, 289, 5564, 276, 510, 14612, 7760, 18, 1598, 17, 431, 2441, 3244, 16, 1586, 1494, 9307, 1188, 5564, 323, 16, 27902, 840, 10659, 1920, 764, 5992, 16, 453, 374, 1514, 13081, 2854, 360, 27351, 17, 31512, 10442, 12615, 670, 18846, 6431, 22783, 2353, 953, 282, 35856, 404, 4850, 968, 18, 23544, 5426, 10802, 432, 19565, 16, 23696, 16, 7760, 7395, 2234, 16, 9839, 17, 12212, 2234, 16, 816, 443, 28, 308, 19, 267, 16, 371, 5564, 263, 510, 10592, 420, 8523, 18, 12167, 46915, 12776, 21294, 3068, 341, 18503, 451, 48281, 30, 4275, 412, 9862, 6295, 282, 3507, 11534, 322, 25190, 18, 13630, 2299, 10802, 549, 1137, 5090, 16, 7760, 17119, 37649, 451, 11511, 16, 322, 3947, 798, 49244, 18, 981, 25062, 20688, 510, 10952, 21, 6322, 941, 266, 18, 422, 2211, 6978, 282, 11877, 1382, 5937, 16, 282, 11084, 510, 9839, 17, 12212, 2234, 16, 5826, 2299, 7872, 7077, 19431, 16, 816, 443, 28, 308, 19, 267, 18, 36748, 7097, 5426, 4668, 29, 655, 15, 3940, 5448, 563, 16, 7760, 4668, 5759, 655, 15, 6462, 5448, 563, 18, 14317, 22860, 21427, 289, 1064, 16064, 2398, 2172, 7790, 309, 32844, 29610, 346, 16, 1029, 8192, 281, 1912, 18, 646, 282, 870, 1272, 2299, 282, 17062, 478, 44641, 380, 1157, 861, 2555, 3598, 16, 10666, 16, 322, 4040, 10244, 282, 16861, 263, 21637, 16, 515, 30743, 24261, 24628, 18, 365, 1177, 1119, 19988, 10802, 549, 1137, 5090, 16, 37649, 451, 11511, 16, 17119, 25753, 49244, 18, 36748, 7097, 5426, 4668, 3572, 655, 15 ]
[ 3902, 5448, 563, 16, 7760, 4668, 5759, 655, 15, 6462, 5448, 563, 18, 23544, 7395, 2234, 16, 816, 443, 28, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 334, 17, 6093, 2961, 11465, 510, 1409, 6837, 6322, 941, 266, 18, 422, 18, 1591, 12241, 16, 5741, 3598, 16, 5343, 12146, 309, 13078, 14955, 3806, 11972, 15969, 309, 9839, 17, 17569, 289, 18457, 15969, 309, 23000, 18, 18712, 11972, 2221, 840, 11558, 349, 20688, 510, 39271, 6322, 941, 266, 18, 422, 18, 510, 11440, 16, 367, 18457, 2221, 4426, 478, 960, 1124, 301, 4151, 470, 510, 1137, 3328, 474, 2078, 510, 349, 9871, 10812, 668, 22961, 289, 3953, 7021, 2597, 1740, 7097, 18, 2660, 5364, 37649, 451, 11511, 18, 36748, 7097, 5426, 4668, 2479, 655, 15, 3114, 5448, 563, 16, 7760, 4668, 3114, 655, 15, 2932, 5448, 563, 16, 17119, 519, 4668, 6091, 5448, 563, 18, 23544, 7395, 2234, 16, 1061, 443, 2479, 308, 19, 267, 18, 365, 2615, 1119, 36743, 434, 7294, 282, 32533, 9804, 840, 322, 334, 4002, 4681, 14096, 315, 18, 29609, 2222, 10906, 5070, 448, 1137, 2497, 4629, 16, 961, 322, 23871, 35946, 2597, 298, 1954, 16, 581, 289, 749, 31922, 6958, 1901, 42243, 322, 28215, 18, 23544, 7395, 2234, 16, 1061, 443, 2479, 308, 19, 267, 18, 981, 25062, 282, 9937, 16, 430, 4209, 16, 20688, 16, 10952, 22, 6322, 941, 266, 18, 422, 18, 36748, 7097, 5426, 4668, 27, 655, 15, 2783, 5448, 563, 16, 7760, 4668, 4234, 655, 15, 2692, 5448, 563, 18, 5043, 16, 481, 322, 2993, 1852, 23296, 323, 4481, 1147, 4078, 3910, 16, 2805, 282, 8078, 2533, 16, 4153, 10574, 281, 25740, 6975, 18, 48892, 281, 13472, 16, 2319, 23921, 289, 828, 12676, 16, 670, 478, 560, 877, 34704, 470, 10355, 20467, 281, 32489, 18, 365, 11946, 16, 491, 4209, 16, 282, 1137, 2466, 25986, 1195, 39749, 16379, 21891, 20085, 2166, 16, 374, 32010, 2098, 2269, 309, 21535, 547, 9484, 18, 8281, 1921, 305, 16, 9121, 16, 6836, 282, 1713, 13882, 6003, 18, 36748, 7097, 14145, 2961, 17789, 16, 367, 14394, 42243, 9478, 31211, 847, 16, 289, 16, 428, 7026, 36583, 4275, 412, 3847, 16, 282, 1177, 1119, 30880, 322, 840, 4521, 18, 36748, 7097, 5426, 4668, 26, 655, 15, 3572, 5448, 563, 16, 7760, 4668, 3114, 655, 15, 2932, 5448, 563, 18, 23544, 7395, 2234, 16, 9265, 17, 12212, 2234, 16, 1032, 443, 29, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 2961, 11465, 510, 10952, 21, 6322, 941, 266, 18, 422, 18, 365, 10882, 18457, 2221, 281, 36903, 14145, 4783, 874, 2159, 12724, 282, 3187, 4267, 9804, 18, 49277, 622, 16237, 42243, 7760, 816, 4209, 49174, 16, 515, 371, 803, 289, 21535, 451, 4328, 14145, 2961, 17789, 18, 17942, 695, 281, 20085, 39369, 18, 36748, 7097, 5426, 4668, 28, 655, 15, 4234, 5448, 563, 16, 7760, 4668, 3902, 655, 15, 6568, 5448, 563, 18, 23544, 9265, 17, 12212, 2234, 16, 1032, 443, 29, 308, 19, 267, 18, 981, 25062, 4893, 5623, 1344, 3760, 289, 50032, 309, 2581, 582, 1409, 9869, 6322, 941, 266, 18, 422, 18, 421, 781, 3158, 1723, 9522, 20781, 297, 282, 2894, 2845, 2203, 840, 40721, 319, 322, 5992, 1110, 16, 1085, 687, 17361, 411, 10932, 18, 365, 11877, 16, 1032, 4209, 16, 282, 3187, 2234, 5549, 281, 9265, 17, 12212, 6150, 2495, 2661, 473, 24, 443, 29, 308, 19, 267, 13, 2518, 847, 3892, 1070, 43156, 289, 30743, 27236, 25146, 6229, 18, 1606, 10906, 9402, 1137, 4260, 289, 2849, 9836, 42243, 18, 740, 1003, 442, 795, 749, 5775, 30, 4426, 867, 575, 6229, 395, 21535, 451, 3672, 14828, 282, 33884, 18, 1735, 373, 2023, 502, 575, 3240, 290, 10483, 582, 3553, 289, 35679, 12091, 329, 20499, 309, 29051, 19689, 9437, 5, 740, 25550, 294, 14077, 5855, 35523, 18, 36748, 7097, 5426, 4668, 28, 655, 15, 4234, 5448, 563, 16, 7760, 4668, 2692, 655, 15, 6091, 5448, 563, 18, 981, 25062, 9280, 13122, 29738, 289, 282, 1177, 1119, 14481, 1409, 8066, 6322, 941, 266, 18, 422, 18, 365, 11084, 16, 1061, 4209, 16, 23337, 539, 11440, 2500, 424, 19001, 305, 510, 519, 1409, 8799, 6322, 941, 266, 18, 422, 18, 1598, 17, 431, 978, 282, 1137, 2466, 25986, 11585, 1143, 20085, 6208, 16, 515, 749, 31922, 6958, 1901, 42243, 475, 575, 322, 28215, 18, 365, 21842, 292, 1251, 2872, 2353, 475, 575, 18126, 309, 23647, 3545, 289, 11543, 2361, 411, 3741, 541, 965, 12617, 30, 360, 36877, 519, 5594, 542, 309, 5372, 546, 1751, 18, 36748, 7097, 5426, 4668, 29, 655, 15, 3940, 5448, 563, 16, 7760, 4668, 2692, 655, 15, 6091, 5448, 563, 18, 23544, 1382, 5937, 16, 816, 443, 28, 308, 19, 267, 18, 2, 1, 87, 1456, 81, 2448, 30, 1295, 441, 2592, 548, 11248, 5781, 3609, 17, 23390, 2477, 1230, 1212, 32948, 282, 6104, 1045, 20299, 309, 1939, 443, 3161, 9, 1279, 7019, 11141, 13098, 21788, 2466, 17501, 39364, 309, 816, 16, 25, 9, 289, 1032, 16, 23, 17, 45900, 434, 7019, 17850, 16, 5095, 26646, 14697, 6080, 478, 13261, 861, 1606, 15833, 16, 374, 3772, 294, 1403, 14073, 8527, 9781, 4360, 31117, 9038, 1033, 12023, 18680, 289, 28496, 319, 1143, 4076, 2496, 1634, 22721, 1275, 18, 31224, 30, 18771, 1923, 7019, 28029, 3609, 17, 23390, 26310, 14795, 1087, 333, 31892, 6245, 2385, 15634, 11924, 349, 4440, 1205, 21788, 1941, 19304, 334, 4008, 473, 2783, 16, 22, 9, 282, 26118, 4357, 36534, 289, 816, 16, 25, 9, 282, 31984, 36534, 814, 8859, 329, 11248, 411, 3609, 291, 19304, 29068, 11534, 6847, 29251, 473, 26, 16, 21, 18314, 289, 17850, 473, 24, 16, 23, 21956, 385, 978, 779, 11350, 17, 22079, 16, 367, 4373, 7638, 17, 13522, 2407, 6370, 16640, 16435, 300, 33100, 5559, 290, 49189, 14314, 1230, 5094, 5934, 1437, 289, 1230, 1212, 32948, 16, 367, 1038, 1530, 29186, 432, 33247, 473, 5607, 934, 14702, 4000, 282, 1639, 322, 3440, 2706, 5999, 46682, 6271, 289, 7341, 1437, 281, 1087, 819, 400, 339, 33100, 887, 290, 49189, 349, 4440, 1205, 16, 515, 870, 5024, 25105, 6225, 322, 898, 18, 30550, 300, 519, 48035, 22300, 1423, 12666, 1049, 306, 687, 5037, 478, 16945, 324, 315, 470, 15626, 39741, 686, 267, 1624, 7083, 1779, 1617, 18680, 282, 4440, 1045, 309, 3703, 9, 510, 519, 47913, 16, 21, 3763, 2791, 18, 21474, 4388, 5184, 796, 610, 32521, 36265, 11453, 3389, 360, 10929 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3902, 5448, 563, 16, 7760, 4668, 5759, 655, 15, 6462, 5448, 563, 18, 23544, 7395, 2234, 16, 816, 443, 28, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 334, 17, 6093, 2961, 11465, 510, 1409, 6837, 6322, 941, 266, 18, 422, 18, 1591, 12241, 16, 5741, 3598, 16, 5343, 12146, 309, 13078, 14955, 3806, 11972, 15969, 309, 9839, 17, 17569, 289, 18457, 15969, 309, 23000, 18, 18712, 11972, 2221, 840, 11558, 349, 20688, 510, 39271, 6322, 941, 266, 18, 422, 18, 510, 11440, 16, 367, 18457, 2221, 4426, 478, 960, 1124, 301, 4151, 470, 510, 1137, 3328, 474, 2078, 510, 349, 9871, 10812, 668, 22961, 289, 3953, 7021, 2597, 1740, 7097, 18, 2660, 5364, 37649, 451, 11511, 18, 36748, 7097, 5426, 4668, 2479, 655, 15, 3114, 5448, 563, 16, 7760, 4668, 3114, 655, 15, 2932, 5448, 563, 16, 17119, 519, 4668, 6091, 5448, 563, 18, 23544, 7395, 2234, 16, 1061, 443, 2479, 308, 19, 267, 18, 365, 2615, 1119, 36743, 434, 7294, 282, 32533, 9804, 840, 322, 334, 4002, 4681, 14096, 315, 18, 29609, 2222, 10906, 5070, 448, 1137, 2497, 4629, 16, 961, 322, 23871, 35946, 2597, 298, 1954, 16, 581, 289, 749, 31922, 6958, 1901, 42243, 322, 28215, 18, 23544, 7395, 2234, 16, 1061, 443, 2479, 308, 19, 267, 18, 981, 25062, 282, 9937, 16, 430, 4209, 16, 20688, 16, 10952, 22, 6322, 941, 266, 18, 422, 18, 36748, 7097, 5426, 4668, 27, 655, 15, 2783, 5448, 563, 16, 7760, 4668, 4234, 655, 15, 2692, 5448, 563, 18, 5043, 16, 481, 322, 2993, 1852, 23296, 323, 4481, 1147, 4078, 3910, 16, 2805, 282, 8078, 2533, 16, 4153, 10574, 281, 25740, 6975, 18, 48892, 281, 13472, 16, 2319, 23921, 289, 828, 12676, 16, 670, 478, 560, 877, 34704, 470, 10355, 20467, 281, 32489, 18, 365, 11946, 16, 491, 4209, 16, 282, 1137, 2466, 25986, 1195, 39749, 16379, 21891, 20085, 2166, 16, 374, 32010, 2098, 2269, 309, 21535, 547, 9484, 18, 8281, 1921, 305, 16, 9121, 16, 6836, 282, 1713, 13882, 6003, 18, 36748, 7097, 14145, 2961, 17789, 16, 367, 14394, 42243, 9478, 31211, 847, 16, 289, 16, 428, 7026, 36583, 4275, 412, 3847, 16, 282, 1177, 1119, 30880, 322, 840, 4521, 18, 36748, 7097, 5426, 4668, 26, 655, 15, 3572, 5448, 563, 16, 7760, 4668, 3114, 655, 15, 2932, 5448, 563, 18, 23544, 7395, 2234, 16, 9265, 17, 12212, 2234, 16, 1032, 443, 29, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 2961, 11465, 510, 10952, 21, 6322, 941, 266, 18, 422, 18, 365, 10882, 18457, 2221, 281, 36903, 14145, 4783, 874, 2159, 12724, 282, 3187, 4267, 9804, 18, 49277, 622, 16237, 42243, 7760, 816, 4209, 49174, 16, 515, 371, 803, 289, 21535, 451, 4328, 14145, 2961, 17789, 18, 17942, 695, 281, 20085, 39369, 18, 36748, 7097, 5426, 4668, 28, 655, 15, 4234, 5448, 563, 16, 7760, 4668, 3902, 655, 15, 6568, 5448, 563, 18, 23544, 9265, 17, 12212, 2234, 16, 1032, 443, 29, 308, 19, 267, 18, 981, 25062, 4893, 5623, 1344, 3760, 289, 50032, 309, 2581, 582, 1409, 9869, 6322, 941, 266, 18, 422, 18, 421, 781, 3158, 1723, 9522, 20781, 297, 282, 2894, 2845, 2203, 840, 40721, 319, 322, 5992, 1110, 16, 1085, 687, 17361, 411, 10932, 18, 365, 11877, 16, 1032, 4209, 16, 282, 3187, 2234, 5549, 281, 9265, 17, 12212, 6150, 2495, 2661, 473, 24, 443, 29, 308, 19, 267, 13, 2518, 847, 3892, 1070, 43156, 289, 30743, 27236, 25146, 6229, 18, 1606, 10906, 9402, 1137, 4260, 289, 2849, 9836, 42243, 18, 740, 1003, 442, 795, 749, 5775, 30, 4426, 867, 575, 6229, 395, 21535, 451, 3672, 14828, 282, 33884, 18, 1735, 373, 2023, 502, 575, 3240, 290, 10483, 582, 3553, 289, 35679, 12091, 329, 20499, 309, 29051, 19689, 9437, 5, 740, 25550, 294, 14077, 5855, 35523, 18, 36748, 7097, 5426, 4668, 28, 655, 15, 4234, 5448, 563, 16, 7760, 4668, 2692, 655, 15, 6091, 5448, 563, 18, 981, 25062, 9280, 13122, 29738, 289, 282, 1177, 1119, 14481, 1409, 8066, 6322, 941, 266, 18, 422, 18, 365, 11084, 16, 1061, 4209, 16, 23337, 539, 11440, 2500, 424, 19001, 305, 510, 519, 1409, 8799, 6322, 941, 266, 18, 422, 18, 1598, 17, 431, 978, 282, 1137, 2466, 25986, 11585, 1143, 20085, 6208, 16, 515, 749, 31922, 6958, 1901, 42243, 475, 575, 322, 28215, 18, 365, 21842, 292, 1251, 2872, 2353, 475, 575, 18126, 309, 23647, 3545, 289, 11543, 2361, 411, 3741, 541, 965, 12617, 30, 360, 36877, 519, 5594, 542, 309, 5372, 546, 1751, 18, 36748, 7097, 5426, 4668, 29, 655, 15, 3940, 5448, 563, 16, 7760, 4668, 2692, 655, 15, 6091, 5448, 563, 18, 23544, 1382, 5937, 16, 816, 443, 28, 308, 19, 267, 18, 2, 1, 87, 1456, 81, 2448, 30, 1295, 441, 2592, 548, 11248, 5781, 3609, 17, 23390, 2477, 1230, 1212, 32948, 282, 6104, 1045, 20299, 309, 1939, 443, 3161, 9, 1279, 7019, 11141, 13098, 21788, 2466, 17501, 39364, 309, 816, 16, 25, 9, 289, 1032, 16, 23, 17, 45900, 434, 7019, 17850, 16, 5095, 26646, 14697, 6080, 478, 13261, 861, 1606, 15833, 16, 374, 3772, 294, 1403, 14073, 8527, 9781, 4360, 31117, 9038, 1033, 12023, 18680, 289, 28496, 319, 1143, 4076, 2496, 1634, 22721, 1275, 18, 31224, 30, 18771, 1923, 7019, 28029, 3609, 17, 23390, 26310, 14795, 1087, 333, 31892, 6245, 2385, 15634, 11924, 349, 4440, 1205, 21788, 1941, 19304, 334, 4008, 473, 2783, 16, 22, 9, 282, 26118, 4357, 36534, 289, 816, 16, 25, 9, 282, 31984, 36534, 814, 8859, 329, 11248, 411, 3609, 291, 19304, 29068, 11534, 6847, 29251, 473, 26, 16, 21, 18314, 289, 17850, 473, 24, 16, 23, 21956, 385, 978, 779, 11350, 17, 22079, 16, 367, 4373, 7638, 17, 13522, 2407, 6370, 16640, 16435, 300, 33100, 5559, 290, 49189, 14314, 1230, 5094, 5934, 1437, 289, 1230, 1212, 32948, 16, 367, 1038, 1530, 29186, 432, 33247, 473, 5607, 934, 14702, 4000, 282, 1639, 322, 3440, 2706, 5999, 46682, 6271, 289, 7341, 1437, 281, 1087, 819, 400, 339, 33100, 887, 290, 49189, 349, 4440, 1205, 16, 515, 870, 5024, 25105, 6225, 322, 898, 18, 30550, 300, 519, 48035, 22300, 1423, 12666, 1049, 306, 687, 5037, 478, 16945, 324, 315, 470, 15626, 39741, 686, 267, 1624, 7083, 1779, 1617, 18680, 282, 4440, 1045, 309, 3703, 9, 510, 519, 47913, 16, 21, 3763, 2791, 18, 21474, 4388, 5184, 796, 610, 32521, 36265, 11453, 3389, 360, 10929 ]
[ 2095, 32996, 12480, 282, 28441, 1767, 30, 349, 1047, 5037, 478, 16945, 324, 315, 470, 3619, 42297, 16, 26, 3763, 2791, 18, 824, 3761, 16544, 434, 28799, 43460, 14314, 16, 2452, 274, 6699, 47208, 1624, 334, 32613, 12806, 1437, 3609, 17, 23390, 2477, 282, 4440, 1045, 49564, 334, 17, 6093, 10391, 1867, 14852, 19305, 289, 26586, 10014, 28435, 18, 15761, 918, 17501, 39364, 282, 5344, 11930, 309, 1438, 22139, 451, 5040, 16, 289, 1373, 475, 764, 360, 12227, 31333, 21803, 473, 6838, 382, 16, 6153, 5643, 289, 4533, 1505, 2241, 13, 289, 49704, 16, 1830, 8856, 16, 349, 10244, 34863, 6271, 16, 685, 12523, 1390, 1482, 2696, 6591, 18, 996, 16, 18165, 6187, 46252, 1161, 2241, 3619, 282, 11099, 282, 2100, 12806, 1437, 349, 4440, 1205, 309, 1939, 9, 1143, 16, 828, 349, 4479, 17, 295, 473, 35464, 3094, 5937, 23851, 934, 12806, 783, 14231, 473, 275, 6099, 360, 2241, 13, 360, 4843, 27, 7181, 2634, 519, 4843, 28, 3763, 349, 1205, 18, 365, 17971, 26903, 23371, 20299, 349, 1205, 309, 1409, 9, 510, 360, 4843, 18442, 2634, 519, 4843, 28, 3763, 31, 282, 26928, 34088, 473, 10075, 17, 3161, 13, 349, 4440, 1205, 745, 7083, 751, 309, 4016, 9, 473, 660, 4843, 6462, 20, 2634, 510, 4843, 2479, 3763, 814, 1268, 36470, 30377, 309, 8011, 7842, 1230, 1212, 32948, 282, 6104, 1045, 9740, 478, 18306, 861, 640, 33804, 2123, 31870, 12456, 7179, 2303, 4593, 46626, 419, 16, 334, 35854, 395, 6080, 478, 13261, 470, 1624, 282, 6104, 1045, 25627, 2364, 430, 16, 3114, 26, 5096, 2791, 16, 374, 1472, 309, 1286, 9, 3230, 16, 828, 282, 4479, 1045, 16, 289, 1715, 3066, 29251, 16, 1586, 14231, 1286, 16, 21, 5999, 39442, 12456, 473, 7980, 319, 1135, 13, 39724, 519, 1645, 478, 37075, 470, 510, 478, 18306, 17, 15207, 345, 470, 510, 282, 6104, 1045, 5684, 2364, 1409, 3902, 16, 28, 3763, 2791, 1279, 11281, 23, 16, 27, 3763, 282, 4479, 1045, 18, 33084, 15706, 42006, 18820, 40311, 6802, 473, 10075, 17, 3114, 13, 12076, 360, 4843, 37168, 2634, 519, 4843, 27, 277, 23630, 16, 7083, 1752, 349, 1205, 282, 11099, 309, 4518, 5999, 824, 3163, 4830, 10143, 6190, 6838, 30324, 8204, 416, 15137, 14943, 14543, 5394, 401, 16, 5040, 43460, 282, 34088, 281, 1087, 819, 400, 339, 11762, 9250, 16, 4426, 478, 2810, 412, 21316, 309, 15287, 861, 889, 4360, 478, 324, 844, 14177, 6814, 334, 6409, 9212, 910, 18584, 2712, 14543, 356, 712, 16, 3116, 7892, 16, 374, 2388, 10902, 13054, 24170, 802, 20213, 3799, 1330, 1810, 16, 8169, 416, 45457, 1685, 289, 13003, 15467, 5153, 9393, 18, 365, 1230, 5094, 5934, 4678, 16, 428, 289, 282, 1888, 38530, 16, 10924, 571, 40078, 16, 4959, 1733, 4162, 47353, 6814, 2241, 16, 10662, 4137, 5227, 36357, 16, 18165, 6187, 15137, 769, 16155, 3771, 18, 478, 18229, 16, 29418, 3609, 17, 503, 383, 16767, 2879, 24960, 360, 19965, 1810, 2241, 16, 9811, 16, 7019, 3131, 10414, 18, 740, 13054, 10645, 6271, 281, 1087, 819, 400, 339, 428, 445, 289, 14736, 281, 19534, 8434, 7405, 309, 26219, 5066, 910, 510, 10050, 5227, 36357, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 45380, 470, 21035, 478, 1358, 9851, 18720, 288, 470, 282, 8267, 40406, 16423, 16180, 5538, 18, 7704, 4156, 634, 890, 36942, 6599, 4287, 17716, 1272, 37253, 2263, 13922, 379, 889, 11, 630, 567, 7422, 44056, 18, 365, 9050, 282, 4015, 382, 1999, 263, 30719, 2364, 1409, 2634, 25467, 478, 45380, 861, 31224, 30, 677, 11946, 634, 890, 36942, 6599, 778, 478, 45380, 470, 15464, 2615, 282, 1360, 3182, 27503, 10133, 40406, 16423, 2297, 1020, 643, 343, 18, 2046, 478, 32420, 12101, 470, 10579, 7977, 16180, 5538, 685, 1897, 536, 651, 581, 1484, 775, 778, 3216, 282, 3507, 309, 26225, 478, 29428, 470, 13694, 19883, 778, 478, 1358, 9851, 18720, 288, 861, 29196, 334, 17, 6093, 322, 3219, 3519, 4923, 1153, 528, 6041, 768, 578, 1428, 273, 367, 6281, 282, 34199, 36942, 962, 289, 2391, 478, 45380, 470, 11189, 7099, 32737, 282, 11147, 18, 403, 2384, 1616, 281, 478, 1358, 9851, 18720, 288, 470, 634, 890, 36942, 6599, 873, 16581, 282, 4006, 547, 43157, 12964, 289, 31964, 15465, 7179, 7561, 18, 1681, 6424, 8616, 282, 4015, 382, 288, 615, 6498, 2364, 1409, 4500, 18, 25467, 16, 6177, 475, 19092, 309, 5199, 11401, 2919, 9092, 18, 1598, 2059, 687, 34199, 36942, 2664, 282, 7522, 13473, 1032, 4500, 18, 1135, 18, 9920, 22490, 25326, 898, 11864, 281, 867, 16, 374, 282, 36117, 3948, 4534, 282, 502, 575, 3240, 808, 14366, 10133, 28604, 1251, 478, 13467, 304, 470, 289, 14118, 18, 4185, 8945, 46726, 11062, 280, 3920, 42519, 16, 282, 9743, 898, 32994, 548, 44724, 448, 7272, 3623, 18, 608, 5690, 3966, 4286, 30651, 33361, 31327, 7282, 334, 6501, 14928, 1970, 1275, 16, 367, 309, 2590, 4678, 36784, 45226, 17390, 18, 34199, 36942, 6599, 1133, 43775, 1188, 22232, 13712, 309, 8882, 3832, 416, 6394, 16, 4723, 1974, 24200, 282, 2580, 31819, 16, 988, 13290, 15364, 23941, 3015, 4110, 39949, 1157, 18, 26963, 282, 7353, 322, 26149, 4317, 986, 281, 11047, 2435, 17623, 42541, 2919, 1251, 14497, 17983, 18, 478, 5801, 656, 1373, 18515, 35, 27784, 11142, 22306, 339, 910, 510, 1109, 28312, 478, 32485, 18, 8381, 470, 1176, 411, 39949, 1051, 18, 967, 30011, 282, 4015, 382, 288, 615, 289, 43775, 411, 22336, 18, 9469, 1135, 36784, 309, 34258, 417, 344, 409, 19215, 41445, 289, 22401, 641, 420, 1262, 2919, 14497, 17983, 478, 45380, 910, 961, 1188, 18653, 2509, 20707, 635, 5911, 3306, 3084, 1934, 1458, 478, 3693, 6551, 18, 50083, 16, 478, 45380, 19461, 385, 5606, 1879, 309, 4577, 282, 5271, 17701, 7451, 1421, 1307, 28772, 421, 6329, 273, 504, 948, 1508, 2503, 16, 41378, 5888, 889, 11, 630, 289, 4414, 18746, 20513, 4642, 18, 365, 41682, 6088, 9543, 48719, 523, 1624, 367, 1756, 282, 4907, 2662, 12307, 4137, 5971, 1219, 1388, 18, 18206, 9601, 6769, 322, 453, 16, 428, 924, 12377, 768, 578, 1428, 273, 18, 24899, 11709, 6884, 4024, 289, 16590, 8585, 1791, 478, 45380, 861, 2667, 2249, 519, 924, 16, 374, 281, 5625, 7889, 4733, 364, 11216, 7974, 10989, 712, 1624, 367, 478, 1358, 9851, 18720, 288, 470, 5235, 4024, 749, 8749, 16, 289, 322, 17334, 6058, 293, 5559, 282, 25152, 18, 1735, 4176, 1423, 8616, 2263, 807, 16, 4733, 8694, 11216, 411, 17, 1567, 4091, 49353 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2095, 32996, 12480, 282, 28441, 1767, 30, 349, 1047, 5037, 478, 16945, 324, 315, 470, 3619, 42297, 16, 26, 3763, 2791, 18, 824, 3761, 16544, 434, 28799, 43460, 14314, 16, 2452, 274, 6699, 47208, 1624, 334, 32613, 12806, 1437, 3609, 17, 23390, 2477, 282, 4440, 1045, 49564, 334, 17, 6093, 10391, 1867, 14852, 19305, 289, 26586, 10014, 28435, 18, 15761, 918, 17501, 39364, 282, 5344, 11930, 309, 1438, 22139, 451, 5040, 16, 289, 1373, 475, 764, 360, 12227, 31333, 21803, 473, 6838, 382, 16, 6153, 5643, 289, 4533, 1505, 2241, 13, 289, 49704, 16, 1830, 8856, 16, 349, 10244, 34863, 6271, 16, 685, 12523, 1390, 1482, 2696, 6591, 18, 996, 16, 18165, 6187, 46252, 1161, 2241, 3619, 282, 11099, 282, 2100, 12806, 1437, 349, 4440, 1205, 309, 1939, 9, 1143, 16, 828, 349, 4479, 17, 295, 473, 35464, 3094, 5937, 23851, 934, 12806, 783, 14231, 473, 275, 6099, 360, 2241, 13, 360, 4843, 27, 7181, 2634, 519, 4843, 28, 3763, 349, 1205, 18, 365, 17971, 26903, 23371, 20299, 349, 1205, 309, 1409, 9, 510, 360, 4843, 18442, 2634, 519, 4843, 28, 3763, 31, 282, 26928, 34088, 473, 10075, 17, 3161, 13, 349, 4440, 1205, 745, 7083, 751, 309, 4016, 9, 473, 660, 4843, 6462, 20, 2634, 510, 4843, 2479, 3763, 814, 1268, 36470, 30377, 309, 8011, 7842, 1230, 1212, 32948, 282, 6104, 1045, 9740, 478, 18306, 861, 640, 33804, 2123, 31870, 12456, 7179, 2303, 4593, 46626, 419, 16, 334, 35854, 395, 6080, 478, 13261, 470, 1624, 282, 6104, 1045, 25627, 2364, 430, 16, 3114, 26, 5096, 2791, 16, 374, 1472, 309, 1286, 9, 3230, 16, 828, 282, 4479, 1045, 16, 289, 1715, 3066, 29251, 16, 1586, 14231, 1286, 16, 21, 5999, 39442, 12456, 473, 7980, 319, 1135, 13, 39724, 519, 1645, 478, 37075, 470, 510, 478, 18306, 17, 15207, 345, 470, 510, 282, 6104, 1045, 5684, 2364, 1409, 3902, 16, 28, 3763, 2791, 1279, 11281, 23, 16, 27, 3763, 282, 4479, 1045, 18, 33084, 15706, 42006, 18820, 40311, 6802, 473, 10075, 17, 3114, 13, 12076, 360, 4843, 37168, 2634, 519, 4843, 27, 277, 23630, 16, 7083, 1752, 349, 1205, 282, 11099, 309, 4518, 5999, 824, 3163, 4830, 10143, 6190, 6838, 30324, 8204, 416, 15137, 14943, 14543, 5394, 401, 16, 5040, 43460, 282, 34088, 281, 1087, 819, 400, 339, 11762, 9250, 16, 4426, 478, 2810, 412, 21316, 309, 15287, 861, 889, 4360, 478, 324, 844, 14177, 6814, 334, 6409, 9212, 910, 18584, 2712, 14543, 356, 712, 16, 3116, 7892, 16, 374, 2388, 10902, 13054, 24170, 802, 20213, 3799, 1330, 1810, 16, 8169, 416, 45457, 1685, 289, 13003, 15467, 5153, 9393, 18, 365, 1230, 5094, 5934, 4678, 16, 428, 289, 282, 1888, 38530, 16, 10924, 571, 40078, 16, 4959, 1733, 4162, 47353, 6814, 2241, 16, 10662, 4137, 5227, 36357, 16, 18165, 6187, 15137, 769, 16155, 3771, 18, 478, 18229, 16, 29418, 3609, 17, 503, 383, 16767, 2879, 24960, 360, 19965, 1810, 2241, 16, 9811, 16, 7019, 3131, 10414, 18, 740, 13054, 10645, 6271, 281, 1087, 819, 400, 339, 428, 445, 289, 14736, 281, 19534, 8434, 7405, 309, 26219, 5066, 910, 510, 10050, 5227, 36357, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 45380, 470, 21035, 478, 1358, 9851, 18720, 288, 470, 282, 8267, 40406, 16423, 16180, 5538, 18, 7704, 4156, 634, 890, 36942, 6599, 4287, 17716, 1272, 37253, 2263, 13922, 379, 889, 11, 630, 567, 7422, 44056, 18, 365, 9050, 282, 4015, 382, 1999, 263, 30719, 2364, 1409, 2634, 25467, 478, 45380, 861, 31224, 30, 677, 11946, 634, 890, 36942, 6599, 778, 478, 45380, 470, 15464, 2615, 282, 1360, 3182, 27503, 10133, 40406, 16423, 2297, 1020, 643, 343, 18, 2046, 478, 32420, 12101, 470, 10579, 7977, 16180, 5538, 685, 1897, 536, 651, 581, 1484, 775, 778, 3216, 282, 3507, 309, 26225, 478, 29428, 470, 13694, 19883, 778, 478, 1358, 9851, 18720, 288, 861, 29196, 334, 17, 6093, 322, 3219, 3519, 4923, 1153, 528, 6041, 768, 578, 1428, 273, 367, 6281, 282, 34199, 36942, 962, 289, 2391, 478, 45380, 470, 11189, 7099, 32737, 282, 11147, 18, 403, 2384, 1616, 281, 478, 1358, 9851, 18720, 288, 470, 634, 890, 36942, 6599, 873, 16581, 282, 4006, 547, 43157, 12964, 289, 31964, 15465, 7179, 7561, 18, 1681, 6424, 8616, 282, 4015, 382, 288, 615, 6498, 2364, 1409, 4500, 18, 25467, 16, 6177, 475, 19092, 309, 5199, 11401, 2919, 9092, 18, 1598, 2059, 687, 34199, 36942, 2664, 282, 7522, 13473, 1032, 4500, 18, 1135, 18, 9920, 22490, 25326, 898, 11864, 281, 867, 16, 374, 282, 36117, 3948, 4534, 282, 502, 575, 3240, 808, 14366, 10133, 28604, 1251, 478, 13467, 304, 470, 289, 14118, 18, 4185, 8945, 46726, 11062, 280, 3920, 42519, 16, 282, 9743, 898, 32994, 548, 44724, 448, 7272, 3623, 18, 608, 5690, 3966, 4286, 30651, 33361, 31327, 7282, 334, 6501, 14928, 1970, 1275, 16, 367, 309, 2590, 4678, 36784, 45226, 17390, 18, 34199, 36942, 6599, 1133, 43775, 1188, 22232, 13712, 309, 8882, 3832, 416, 6394, 16, 4723, 1974, 24200, 282, 2580, 31819, 16, 988, 13290, 15364, 23941, 3015, 4110, 39949, 1157, 18, 26963, 282, 7353, 322, 26149, 4317, 986, 281, 11047, 2435, 17623, 42541, 2919, 1251, 14497, 17983, 18, 478, 5801, 656, 1373, 18515, 35, 27784, 11142, 22306, 339, 910, 510, 1109, 28312, 478, 32485, 18, 8381, 470, 1176, 411, 39949, 1051, 18, 967, 30011, 282, 4015, 382, 288, 615, 289, 43775, 411, 22336, 18, 9469, 1135, 36784, 309, 34258, 417, 344, 409, 19215, 41445, 289, 22401, 641, 420, 1262, 2919, 14497, 17983, 478, 45380, 910, 961, 1188, 18653, 2509, 20707, 635, 5911, 3306, 3084, 1934, 1458, 478, 3693, 6551, 18, 50083, 16, 478, 45380, 19461, 385, 5606, 1879, 309, 4577, 282, 5271, 17701, 7451, 1421, 1307, 28772, 421, 6329, 273, 504, 948, 1508, 2503, 16, 41378, 5888, 889, 11, 630, 289, 4414, 18746, 20513, 4642, 18, 365, 41682, 6088, 9543, 48719, 523, 1624, 367, 1756, 282, 4907, 2662, 12307, 4137, 5971, 1219, 1388, 18, 18206, 9601, 6769, 322, 453, 16, 428, 924, 12377, 768, 578, 1428, 273, 18, 24899, 11709, 6884, 4024, 289, 16590, 8585, 1791, 478, 45380, 861, 2667, 2249, 519, 924, 16, 374, 281, 5625, 7889, 4733, 364, 11216, 7974, 10989, 712, 1624, 367, 478, 1358, 9851, 18720, 288, 470, 5235, 4024, 749, 8749, 16, 289, 322, 17334, 6058, 293, 5559, 282, 25152, 18, 1735, 4176, 1423, 8616, 2263, 807, 16, 4733, 8694, 11216, 411, 17, 1567, 4091, 49353 ]
[ 16, 367, 1215, 8426, 586, 1577, 1042, 3646, 282, 8111, 281, 45817, 19002, 33338, 6274, 36532, 5971, 1219, 7408, 18, 14097, 7387, 749, 850, 2774, 16, 367, 634, 890, 36942, 6599, 873, 6498, 282, 1190, 687, 6476, 294, 2555, 17, 295, 20537, 16, 785, 309, 4577, 6181, 48719, 523, 16, 14853, 1779, 3881, 607, 269, 10810, 401, 18, 17580, 2301, 3298, 429, 8824, 349, 478, 45380, 861, 608, 7889, 38162, 365, 493, 526, 17141, 18795, 1293, 24532, 304, 2155, 349, 5184, 1518, 1258, 262, 38411, 12995, 4654, 1624, 1258, 948, 7507, 274, 289, 889, 11, 630, 16, 515, 43037, 432, 21584, 322, 639, 18, 22000, 6740, 3298, 429, 16, 428, 289, 4183, 16, 3424, 5290, 349, 478, 1358, 9851, 18720, 288, 861, 14318, 8291, 873, 11723, 22752, 16, 37780, 460, 462, 40343, 16, 322, 16947, 478, 45380, 470, 26753, 537, 309, 8427, 18, 439, 1215, 13784, 17701, 898, 6993, 16798, 758, 651, 282, 3227, 669, 2545, 12159, 44671, 862, 2410, 1269, 17787, 18, 740, 30353, 282, 1177, 2894, 7551, 634, 890, 36942, 6599, 4287, 651, 1176, 411, 30556, 7646, 1011, 396, 881, 332, 48719, 3340, 322, 4476, 14696, 39904, 2507, 16, 722, 6089, 11216, 289, 16044, 749, 20862, 33500, 11836, 309, 478, 12005, 861, 889, 11, 630, 12080, 2482, 37811, 7243, 1475, 289, 478, 45380, 470, 4223, 4024, 16, 33701, 21755, 5698, 506, 764, 1143, 18, 2046, 21166, 2497, 768, 578, 1428, 343, 2006, 17, 299, 2458, 36887, 39448, 506, 294, 24557, 16, 282, 2630, 281, 828, 25107, 1194, 887, 1293, 22711, 478, 21399, 712, 470, 289, 5514, 18, 3557, 322, 2619, 16, 478, 45380, 470, 360, 41888, 16432, 16, 44240, 275, 6441, 309, 9268, 20537, 510, 889, 11, 630, 13721, 271, 8440, 526, 18, 478, 45380, 470, 29729, 49564, 282, 8933, 439, 18, 365, 11084, 634, 890, 36942, 6599, 873, 282, 4301, 2407, 26817, 6280, 467, 281, 478, 13781, 861, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 45380, 470, 510, 478, 1358, 9851, 18720, 288, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 16180, 5538, 18, 2, 1, 87, 1456, 81, 2448, 30, 11545, 2679, 10218, 16, 374, 2259, 294, 8187, 1147, 1561, 344, 477, 1963, 49085, 522, 8582, 510, 4424, 309, 17292, 5066, 8297, 798, 43367, 820, 5211, 35392, 2855, 13436, 11924, 48108, 478, 780, 948, 795, 268, 470, 309, 7395, 3589, 16955, 18, 38367, 39483, 14868, 23900, 1175, 16, 367, 2145, 867, 5547, 2394, 2625, 9807, 25371, 309, 30218, 18, 31224, 30, 13931, 482, 2005, 5211, 35392, 680, 13436, 478, 780, 948, 795, 268, 470, 294, 7395, 11436, 10103, 957, 30218, 5807, 925, 1614, 14137, 2839, 29134, 282, 7773, 25103, 14719, 18, 21552, 7796, 1552, 13340, 30576, 1614, 268, 504, 1504, 22922, 282, 9937, 11661, 4371, 290, 36962, 2223, 955, 499, 1214, 553, 5211, 35392, 680, 13436, 11924, 48108, 289, 290, 6409, 16115, 19683, 2777, 16011, 5134, 8187, 451, 5335, 478, 275, 10536, 5728, 910, 3110, 22350, 268, 35392, 1880, 10027, 478, 730, 286, 890, 293, 861, 1591, 808, 41325, 6612, 883, 5037, 32975, 346, 11413, 10218, 30, 478, 40058, 3761, 22350, 268, 35392, 680, 289, 13198, 15168, 16, 14394, 25415, 13436, 30218, 939, 43233, 861, 1032, 4238, 22350, 268, 35392, 1133, 5792, 477, 7755, 309, 13156, 282, 16521, 10719, 33060, 290, 6448, 4840, 13436, 478, 780, 948, 795, 268, 470, 294, 7395, 11436, 10103, 957, 12654, 30576, 16, 515, 19683, 23518, 519, 12138, 1612, 322, 48273, 18, 365, 10882, 580, 896, 1133, 5792, 6442, 290, 43367, 2557, 2992, 37328, 20141, 13436, 11924, 48108, 4528, 478, 780, 948, 795, 268, 470, 294, 7395, 11436, 10103, 957, 2553, 18, 365, 28104, 5860, 17801, 28907, 16, 374, 15553, 8187, 282, 49085, 11444, 404, 1698, 32763, 2153, 294, 3542, 27895, 825, 1760, 4238, 27157, 3033, 9495, 510, 29218, 6067, 47992, 30218, 18801, 7599, 29976, 18, 14654, 16, 334, 3163, 9362, 16, 3419, 1717, 290, 8137, 781, 478, 780, 948, 795, 268, 910, 2588, 33487, 39483, 4424, 12523, 6406, 309, 26023, 2808, 476, 13798, 4479, 779, 18, 33768, 16, 374, 2332, 948, 3193, 1335, 13436, 4896, 2364, 816, 16, 25, 4500, 18, 4017, 16, 374, 3118, 3884, 1211, 322, 687, 2923, 13340, 30576, 289, 10440, 16, 515, 20542, 1038, 13198, 10528, 309, 12542, 6470, 395, 289, 48826, 20381, 32989, 1465, 18, 999, 10525, 478, 780, 948, 795, 268, 470, 895, 14062, 9623, 309, 3025, 2923, 1175, 349, 20007, 1683, 18, 9668, 11896, 13340, 30576, 16, 30543, 309, 41325, 6612, 6585, 16, 2815, 16, 478, 19810, 360, 12654, 30576, 5917, 16, 428, 3964, 678, 473, 947, 871, 13, 9438, 341, 861, 365, 6937, 2145, 282, 9937, 1038, 10828, 414, 16, 4010, 10895, 4733, 15946, 30218, 541, 18427, 1360, 13436, 18, 985, 3828, 24036, 44938, 477, 7755, 309, 19361, 23127, 1642, 16, 20664, 7356, 28367, 477, 17677, 16, 5938, 3279, 30218, 9013, 294, 836, 2977, 13436, 289, 895, 18450, 505, 282, 13673, 7258, 18, 1614, 313, 268, 35392, 1133, 5792, 1038, 38802, 477, 7755, 309, 1617, 13156, 16, 374, 49085, 522, 1231, 2259, 294, 4463, 2977, 1833, 1949, 8187, 4528, 478, 563, 34064, 470, 289, 478, 682, 314, 356, 470, 281, 4447, 34401, 309, 2923, 2553, 282, 1750, 7242, 2514, 25415, 37328, 20141, 13436, 478, 780, 948, 795, 268, 861, 4320, 1963, 475, 575, 4266, 381, 478, 45491, 6585, 910, 367, 322, 478, 766, 21607, 861, 21552, 1614, 268, 504, 1504, 22922, 22377, 297, 49085, 522, 1231, 360, 1331, 13211, 432, 5348, 16, 34347, 743, 23515, 8085, 1056, 276, 7237, 6897, 39661, 9085, 1833, 1011, 478, 45491, 542, 470, 37328, 20141, 13436, 18, 19695, 13340, 30576, 1325, 12521, 294, 10939, 306, 289, 1175, 281, 9130, 7237, 25371, 309, 30218, 16, 1038, 10218, 1614, 268, 504, 1504, 22922, 18, 478, 563, 3195, 49772, 39797, 281, 38979, 289, 9609, 27964, 1880, 7064, 9280, 22845, 319, 8885, 294, 2222, 16, 753, 18695, 4892, 5451, 668, 2839, 29134, 8830, 1423, 10839, 910, 510, 1109, 8099, 18, 2871, 1917, 5131, 451, 13205, 8054, 1273, 23096, 3233, 9908, 22886, 3828, 282, 9937, 16, 374, 22154, 726, 30565, 11011, 49085, 522, 1231, 18, 824, 3761, 9630, 16, 282, 11500, 282, 6835, 17, 17553, 7801, 8120, 549, 4765, 7620, 12654, 30576, 289, 2145, 18, 824, 3163, 13873, 281, 23083, 2608, 11738, 11861, 16, 2145, 309, 9155, 14751, 10051, 399, 15432, 8474, 266, 16, 1220, 9037, 18813, 13198, 27940, 309, 7518, 5954, 1608, 25909, 334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 367, 1215, 8426, 586, 1577, 1042, 3646, 282, 8111, 281, 45817, 19002, 33338, 6274, 36532, 5971, 1219, 7408, 18, 14097, 7387, 749, 850, 2774, 16, 367, 634, 890, 36942, 6599, 873, 6498, 282, 1190, 687, 6476, 294, 2555, 17, 295, 20537, 16, 785, 309, 4577, 6181, 48719, 523, 16, 14853, 1779, 3881, 607, 269, 10810, 401, 18, 17580, 2301, 3298, 429, 8824, 349, 478, 45380, 861, 608, 7889, 38162, 365, 493, 526, 17141, 18795, 1293, 24532, 304, 2155, 349, 5184, 1518, 1258, 262, 38411, 12995, 4654, 1624, 1258, 948, 7507, 274, 289, 889, 11, 630, 16, 515, 43037, 432, 21584, 322, 639, 18, 22000, 6740, 3298, 429, 16, 428, 289, 4183, 16, 3424, 5290, 349, 478, 1358, 9851, 18720, 288, 861, 14318, 8291, 873, 11723, 22752, 16, 37780, 460, 462, 40343, 16, 322, 16947, 478, 45380, 470, 26753, 537, 309, 8427, 18, 439, 1215, 13784, 17701, 898, 6993, 16798, 758, 651, 282, 3227, 669, 2545, 12159, 44671, 862, 2410, 1269, 17787, 18, 740, 30353, 282, 1177, 2894, 7551, 634, 890, 36942, 6599, 4287, 651, 1176, 411, 30556, 7646, 1011, 396, 881, 332, 48719, 3340, 322, 4476, 14696, 39904, 2507, 16, 722, 6089, 11216, 289, 16044, 749, 20862, 33500, 11836, 309, 478, 12005, 861, 889, 11, 630, 12080, 2482, 37811, 7243, 1475, 289, 478, 45380, 470, 4223, 4024, 16, 33701, 21755, 5698, 506, 764, 1143, 18, 2046, 21166, 2497, 768, 578, 1428, 343, 2006, 17, 299, 2458, 36887, 39448, 506, 294, 24557, 16, 282, 2630, 281, 828, 25107, 1194, 887, 1293, 22711, 478, 21399, 712, 470, 289, 5514, 18, 3557, 322, 2619, 16, 478, 45380, 470, 360, 41888, 16432, 16, 44240, 275, 6441, 309, 9268, 20537, 510, 889, 11, 630, 13721, 271, 8440, 526, 18, 478, 45380, 470, 29729, 49564, 282, 8933, 439, 18, 365, 11084, 634, 890, 36942, 6599, 873, 282, 4301, 2407, 26817, 6280, 467, 281, 478, 13781, 861, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 45380, 470, 510, 478, 1358, 9851, 18720, 288, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 16180, 5538, 18, 2, 1, 87, 1456, 81, 2448, 30, 11545, 2679, 10218, 16, 374, 2259, 294, 8187, 1147, 1561, 344, 477, 1963, 49085, 522, 8582, 510, 4424, 309, 17292, 5066, 8297, 798, 43367, 820, 5211, 35392, 2855, 13436, 11924, 48108, 478, 780, 948, 795, 268, 470, 309, 7395, 3589, 16955, 18, 38367, 39483, 14868, 23900, 1175, 16, 367, 2145, 867, 5547, 2394, 2625, 9807, 25371, 309, 30218, 18, 31224, 30, 13931, 482, 2005, 5211, 35392, 680, 13436, 478, 780, 948, 795, 268, 470, 294, 7395, 11436, 10103, 957, 30218, 5807, 925, 1614, 14137, 2839, 29134, 282, 7773, 25103, 14719, 18, 21552, 7796, 1552, 13340, 30576, 1614, 268, 504, 1504, 22922, 282, 9937, 11661, 4371, 290, 36962, 2223, 955, 499, 1214, 553, 5211, 35392, 680, 13436, 11924, 48108, 289, 290, 6409, 16115, 19683, 2777, 16011, 5134, 8187, 451, 5335, 478, 275, 10536, 5728, 910, 3110, 22350, 268, 35392, 1880, 10027, 478, 730, 286, 890, 293, 861, 1591, 808, 41325, 6612, 883, 5037, 32975, 346, 11413, 10218, 30, 478, 40058, 3761, 22350, 268, 35392, 680, 289, 13198, 15168, 16, 14394, 25415, 13436, 30218, 939, 43233, 861, 1032, 4238, 22350, 268, 35392, 1133, 5792, 477, 7755, 309, 13156, 282, 16521, 10719, 33060, 290, 6448, 4840, 13436, 478, 780, 948, 795, 268, 470, 294, 7395, 11436, 10103, 957, 12654, 30576, 16, 515, 19683, 23518, 519, 12138, 1612, 322, 48273, 18, 365, 10882, 580, 896, 1133, 5792, 6442, 290, 43367, 2557, 2992, 37328, 20141, 13436, 11924, 48108, 4528, 478, 780, 948, 795, 268, 470, 294, 7395, 11436, 10103, 957, 2553, 18, 365, 28104, 5860, 17801, 28907, 16, 374, 15553, 8187, 282, 49085, 11444, 404, 1698, 32763, 2153, 294, 3542, 27895, 825, 1760, 4238, 27157, 3033, 9495, 510, 29218, 6067, 47992, 30218, 18801, 7599, 29976, 18, 14654, 16, 334, 3163, 9362, 16, 3419, 1717, 290, 8137, 781, 478, 780, 948, 795, 268, 910, 2588, 33487, 39483, 4424, 12523, 6406, 309, 26023, 2808, 476, 13798, 4479, 779, 18, 33768, 16, 374, 2332, 948, 3193, 1335, 13436, 4896, 2364, 816, 16, 25, 4500, 18, 4017, 16, 374, 3118, 3884, 1211, 322, 687, 2923, 13340, 30576, 289, 10440, 16, 515, 20542, 1038, 13198, 10528, 309, 12542, 6470, 395, 289, 48826, 20381, 32989, 1465, 18, 999, 10525, 478, 780, 948, 795, 268, 470, 895, 14062, 9623, 309, 3025, 2923, 1175, 349, 20007, 1683, 18, 9668, 11896, 13340, 30576, 16, 30543, 309, 41325, 6612, 6585, 16, 2815, 16, 478, 19810, 360, 12654, 30576, 5917, 16, 428, 3964, 678, 473, 947, 871, 13, 9438, 341, 861, 365, 6937, 2145, 282, 9937, 1038, 10828, 414, 16, 4010, 10895, 4733, 15946, 30218, 541, 18427, 1360, 13436, 18, 985, 3828, 24036, 44938, 477, 7755, 309, 19361, 23127, 1642, 16, 20664, 7356, 28367, 477, 17677, 16, 5938, 3279, 30218, 9013, 294, 836, 2977, 13436, 289, 895, 18450, 505, 282, 13673, 7258, 18, 1614, 313, 268, 35392, 1133, 5792, 1038, 38802, 477, 7755, 309, 1617, 13156, 16, 374, 49085, 522, 1231, 2259, 294, 4463, 2977, 1833, 1949, 8187, 4528, 478, 563, 34064, 470, 289, 478, 682, 314, 356, 470, 281, 4447, 34401, 309, 2923, 2553, 282, 1750, 7242, 2514, 25415, 37328, 20141, 13436, 478, 780, 948, 795, 268, 861, 4320, 1963, 475, 575, 4266, 381, 478, 45491, 6585, 910, 367, 322, 478, 766, 21607, 861, 21552, 1614, 268, 504, 1504, 22922, 22377, 297, 49085, 522, 1231, 360, 1331, 13211, 432, 5348, 16, 34347, 743, 23515, 8085, 1056, 276, 7237, 6897, 39661, 9085, 1833, 1011, 478, 45491, 542, 470, 37328, 20141, 13436, 18, 19695, 13340, 30576, 1325, 12521, 294, 10939, 306, 289, 1175, 281, 9130, 7237, 25371, 309, 30218, 16, 1038, 10218, 1614, 268, 504, 1504, 22922, 18, 478, 563, 3195, 49772, 39797, 281, 38979, 289, 9609, 27964, 1880, 7064, 9280, 22845, 319, 8885, 294, 2222, 16, 753, 18695, 4892, 5451, 668, 2839, 29134, 8830, 1423, 10839, 910, 510, 1109, 8099, 18, 2871, 1917, 5131, 451, 13205, 8054, 1273, 23096, 3233, 9908, 22886, 3828, 282, 9937, 16, 374, 22154, 726, 30565, 11011, 49085, 522, 1231, 18, 824, 3761, 9630, 16, 282, 11500, 282, 6835, 17, 17553, 7801, 8120, 549, 4765, 7620, 12654, 30576, 289, 2145, 18, 824, 3163, 13873, 281, 23083, 2608, 11738, 11861, 16, 2145, 309, 9155, 14751, 10051, 399, 15432, 8474, 266, 16, 1220, 9037, 18813, 13198, 27940, 309, 7518, 5954, 1608, 25909, 334 ]
[ 18798, 1285, 426, 1394, 1640, 30218, 16, 367, 360, 49085, 522, 8582, 309, 10927, 12985, 9128, 3059, 8108, 347, 30218, 371, 9085, 15690, 15315, 472, 493, 526, 18, 2227, 1682, 1876, 16, 2686, 16, 322, 3225, 290, 828, 17, 3697, 21377, 18, 8474, 266, 18519, 30218, 10419, 360, 15734, 1437, 16, 367, 5211, 1972, 298, 1577, 13204, 10173, 9337, 11330, 4453, 19790, 18, 365, 9937, 16775, 12797, 1250, 19341, 281, 9130, 7237, 294, 10939, 306, 25371, 309, 30218, 16, 3110, 1273, 19882, 22172, 18, 1012, 38672, 282, 21540, 766, 1212, 40745, 334, 4154, 3250, 26246, 16, 30732, 28343, 46542, 282, 8891, 304, 30354, 26151, 14502, 306, 310, 24068, 326, 269, 473, 356, 575, 22499, 520, 14054, 680, 17344, 3819, 10125, 6420, 395, 2025, 22158, 347, 791, 6778, 2815, 16, 374, 2145, 10432, 17273, 1519, 309, 13784, 477, 1963, 49085, 522, 8582, 16, 515, 35136, 2125, 18546, 3624, 16, 753, 478, 3008, 1707, 1507, 2309, 861, 817, 4725, 16, 374, 28778, 478, 4476, 3126, 470, 1247, 290, 28284, 1207, 49528, 18801, 40266, 49590, 324, 477, 1963, 11612, 16, 1029, 5702, 40692, 39743, 31105, 12654, 30576, 18, 478, 1358, 3684, 16, 374, 9807, 895, 18908, 5155, 48305, 4119, 282, 4483, 750, 12724, 309, 7417, 6731, 28169, 454, 289, 46811, 23650, 28674, 309, 34162, 910, 510, 1109, 24068, 326, 269, 18, 817, 14403, 16, 374, 282, 4101, 1871, 5576, 322, 5575, 9792, 282, 25909, 281, 6081, 3334, 26696, 16, 515, 2145, 2125, 478, 35131, 1033, 7533, 758, 282, 25909, 281, 38979, 861, 985, 10050, 1273, 19882, 22172, 1624, 34450, 20374, 25001, 360, 30226, 294, 22792, 25059, 1489, 11612, 282, 7670, 16253, 371, 38609, 9702, 7080, 1251, 5512, 27964, 3334, 39578, 18, 365, 9937, 37186, 2891, 30155, 541, 45507, 5910, 44066, 282, 3580, 450, 4920, 36050, 309, 13078, 281, 12654, 2839, 298, 355, 16, 5923, 1511, 14768, 662, 42130, 52, 477, 7755, 309, 10786, 2891, 18, 889, 1176, 411, 27132, 18323, 16, 334, 3279, 942, 7467, 5339, 282, 30218, 18, 478, 25117, 2910, 2257, 10015, 322, 1698, 39917, 12991, 282, 30218, 16, 453, 428, 49085, 522, 1231, 39205, 309, 970, 16, 753, 4244, 873, 20915, 8362, 910, 510, 5923, 478, 730, 286, 890, 293, 470, 477, 7755, 309, 14840, 14250, 432, 21746, 11612, 18, 2046, 41205, 13565, 282, 8362, 475, 764, 27376, 18, 33487, 39483, 22854, 19483, 2285, 19773, 726, 4038, 2868, 510, 453, 16, 4419, 678, 5860, 455, 9168, 564, 16, 753, 28872, 9985, 548, 20915, 722, 18168, 16, 3387, 2891, 322, 1698, 39225, 697, 13290, 16, 367, 971, 12497, 332, 289, 14496, 2403, 6469, 18, 17734, 3082, 468, 7080, 12654, 30576, 281, 722, 37376, 289, 697, 45649, 10243, 282, 12500, 978, 779, 16, 785, 30218, 8977, 381, 2081, 432, 36597, 37949, 5491, 6585, 16, 25672, 309, 961, 2458, 3531, 34387, 12435, 477, 1963, 6897, 39661, 9085, 289, 2145, 18, 9967, 22154, 289, 2777, 2679, 4732, 43967, 6798, 17, 5350, 1133, 13759, 394, 16, 961, 16, 2838, 289, 26727, 309, 16544, 416, 5137, 16, 22444, 4110, 7893, 6469, 5263, 477, 1963, 5211, 1231, 18, 365, 2343, 3990, 49085, 522, 1231, 15488, 478, 8108, 1431, 1938, 282, 39065, 470, 22154, 289, 9637, 10528, 2145, 289, 14268, 8187, 448, 5445, 282, 33319, 19900, 18, 9873, 978, 33487, 39483, 19352, 16, 374, 8874, 411, 3168, 11581, 282, 20708, 1045, 11418, 290, 21866, 950, 281, 1382, 626, 2535, 289, 2145, 289, 16151, 282, 478, 3008, 14262, 2793, 470, 281, 2872, 18, 38367, 39483, 17273, 6406, 309, 481, 9538, 979, 16, 374, 329, 1524, 14538, 8193, 2259, 3010, 30224, 2254, 2989, 10687, 334, 30218, 282, 1750, 11769, 14075, 477, 1963, 43687, 29537, 16, 367, 2145, 4783, 326, 2159, 22723, 13608, 282, 9804, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 19828, 478, 1098, 370, 948, 17, 730, 1569, 470, 17711, 9969, 11060, 35632, 9770, 289, 4007, 1051, 1360, 4966, 16, 1011, 1660, 4167, 309, 13216, 18578, 411, 8921, 382, 2394, 1385, 34411, 18, 42621, 320, 5841, 7336, 30936, 403, 4654, 6235, 1373, 575, 3953, 5481, 17708, 46850, 477, 5792, 18, 13925, 9969, 5568, 28783, 16, 309, 828, 26058, 685, 19073, 7127, 18, 31224, 30, 42699, 18351, 478, 47963, 1018, 17, 21, 470, 4167, 309, 13216, 18578, 411, 8921, 382, 2394, 1385, 34411, 4966, 478, 1098, 370, 948, 17, 730, 1569, 470, 1011, 924, 16, 428, 35921, 9770, 289, 4007, 1051, 282, 17618, 15406, 16, 961, 322, 20800, 975, 17884, 1882, 18, 42621, 320, 26282, 30936, 403, 4654, 6235, 19352, 16, 374, 25096, 17708, 46850, 281, 16052, 5792, 840, 41576, 18, 9967, 1963, 334, 262, 1262, 326, 16, 9969, 9738, 8382, 1188, 16035, 4887, 4966, 16, 367, 518, 16, 282, 1423, 3678, 16, 12002, 16, 374, 475, 39588, 10487, 18, 385, 1479, 24225, 309, 13839, 8616, 9969, 42119, 1011, 16130, 17, 960, 28223, 17, 4529, 818, 16, 988, 492, 12307, 2511, 17, 263, 1756, 18, 478, 2176, 453, 9068, 289, 13856, 17, 30592, 1408, 656, 40900, 2364, 5544, 5841, 368, 16, 510, 2780, 492, 18, 510, 3647, 322, 12113, 6853, 1853, 5894, 16, 656, 3005, 23468, 10718, 13437, 16, 827, 373, 687, 906, 12031, 30199, 18, 629, 322, 757, 3111, 282, 7337, 16, 374, 656, 3226, 40900, 281, 13856, 17, 285, 26572, 18, 629, 289, 1314, 322, 2447, 381, 803, 3111, 18, 740, 445, 309, 502, 16059, 651, 417, 322, 2447, 1143, 26559, 18, 25176, 8831, 481, 475, 282, 1190, 861, 459, 322, 1559, 8831, 18, 985, 5121, 16, 6376, 3793, 7005, 41124, 5773, 445, 21554, 281, 505, 21460, 5613, 18, 478, 1358, 939, 3027, 953, 282, 2045, 10505, 16, 510, 2815, 9969, 18, 510, 629, 2060, 16, 374, 7193, 322, 895, 953, 282, 29771, 582, 16, 1294, 320, 582, 18, 740, 417, 3027, 26697, 2223, 281, 44088, 334, 1533, 17, 263, 16, 541, 703, 481, 428, 24048, 748, 18, 1178, 475, 282, 10434, 840, 4927, 3624, 651, 13856, 17, 285, 19996, 16, 45617, 16, 322, 840, 1791, 281, 24467, 16, 417, 3478, 41969, 49324, 1488, 17, 2479, 16, 282, 34089, 16, 417, 685, 373, 12950, 861, 1895, 21638, 34694, 32010, 18, 13268, 575, 6605, 5825, 290, 970, 16, 374, 9770, 478, 1098, 370, 948, 17, 730, 1569, 470, 282, 6190, 43535, 1919, 895, 26541, 41124, 411, 8921, 382, 2394, 1385, 34411, 18, 3529, 349, 41124, 38973, 701, 30936, 403, 4654, 6235, 18, 478, 677, 803, 1045, 36398, 7786, 3306, 1426, 1963, 651, 289, 7193, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18798, 1285, 426, 1394, 1640, 30218, 16, 367, 360, 49085, 522, 8582, 309, 10927, 12985, 9128, 3059, 8108, 347, 30218, 371, 9085, 15690, 15315, 472, 493, 526, 18, 2227, 1682, 1876, 16, 2686, 16, 322, 3225, 290, 828, 17, 3697, 21377, 18, 8474, 266, 18519, 30218, 10419, 360, 15734, 1437, 16, 367, 5211, 1972, 298, 1577, 13204, 10173, 9337, 11330, 4453, 19790, 18, 365, 9937, 16775, 12797, 1250, 19341, 281, 9130, 7237, 294, 10939, 306, 25371, 309, 30218, 16, 3110, 1273, 19882, 22172, 18, 1012, 38672, 282, 21540, 766, 1212, 40745, 334, 4154, 3250, 26246, 16, 30732, 28343, 46542, 282, 8891, 304, 30354, 26151, 14502, 306, 310, 24068, 326, 269, 473, 356, 575, 22499, 520, 14054, 680, 17344, 3819, 10125, 6420, 395, 2025, 22158, 347, 791, 6778, 2815, 16, 374, 2145, 10432, 17273, 1519, 309, 13784, 477, 1963, 49085, 522, 8582, 16, 515, 35136, 2125, 18546, 3624, 16, 753, 478, 3008, 1707, 1507, 2309, 861, 817, 4725, 16, 374, 28778, 478, 4476, 3126, 470, 1247, 290, 28284, 1207, 49528, 18801, 40266, 49590, 324, 477, 1963, 11612, 16, 1029, 5702, 40692, 39743, 31105, 12654, 30576, 18, 478, 1358, 3684, 16, 374, 9807, 895, 18908, 5155, 48305, 4119, 282, 4483, 750, 12724, 309, 7417, 6731, 28169, 454, 289, 46811, 23650, 28674, 309, 34162, 910, 510, 1109, 24068, 326, 269, 18, 817, 14403, 16, 374, 282, 4101, 1871, 5576, 322, 5575, 9792, 282, 25909, 281, 6081, 3334, 26696, 16, 515, 2145, 2125, 478, 35131, 1033, 7533, 758, 282, 25909, 281, 38979, 861, 985, 10050, 1273, 19882, 22172, 1624, 34450, 20374, 25001, 360, 30226, 294, 22792, 25059, 1489, 11612, 282, 7670, 16253, 371, 38609, 9702, 7080, 1251, 5512, 27964, 3334, 39578, 18, 365, 9937, 37186, 2891, 30155, 541, 45507, 5910, 44066, 282, 3580, 450, 4920, 36050, 309, 13078, 281, 12654, 2839, 298, 355, 16, 5923, 1511, 14768, 662, 42130, 52, 477, 7755, 309, 10786, 2891, 18, 889, 1176, 411, 27132, 18323, 16, 334, 3279, 942, 7467, 5339, 282, 30218, 18, 478, 25117, 2910, 2257, 10015, 322, 1698, 39917, 12991, 282, 30218, 16, 453, 428, 49085, 522, 1231, 39205, 309, 970, 16, 753, 4244, 873, 20915, 8362, 910, 510, 5923, 478, 730, 286, 890, 293, 470, 477, 7755, 309, 14840, 14250, 432, 21746, 11612, 18, 2046, 41205, 13565, 282, 8362, 475, 764, 27376, 18, 33487, 39483, 22854, 19483, 2285, 19773, 726, 4038, 2868, 510, 453, 16, 4419, 678, 5860, 455, 9168, 564, 16, 753, 28872, 9985, 548, 20915, 722, 18168, 16, 3387, 2891, 322, 1698, 39225, 697, 13290, 16, 367, 971, 12497, 332, 289, 14496, 2403, 6469, 18, 17734, 3082, 468, 7080, 12654, 30576, 281, 722, 37376, 289, 697, 45649, 10243, 282, 12500, 978, 779, 16, 785, 30218, 8977, 381, 2081, 432, 36597, 37949, 5491, 6585, 16, 25672, 309, 961, 2458, 3531, 34387, 12435, 477, 1963, 6897, 39661, 9085, 289, 2145, 18, 9967, 22154, 289, 2777, 2679, 4732, 43967, 6798, 17, 5350, 1133, 13759, 394, 16, 961, 16, 2838, 289, 26727, 309, 16544, 416, 5137, 16, 22444, 4110, 7893, 6469, 5263, 477, 1963, 5211, 1231, 18, 365, 2343, 3990, 49085, 522, 1231, 15488, 478, 8108, 1431, 1938, 282, 39065, 470, 22154, 289, 9637, 10528, 2145, 289, 14268, 8187, 448, 5445, 282, 33319, 19900, 18, 9873, 978, 33487, 39483, 19352, 16, 374, 8874, 411, 3168, 11581, 282, 20708, 1045, 11418, 290, 21866, 950, 281, 1382, 626, 2535, 289, 2145, 289, 16151, 282, 478, 3008, 14262, 2793, 470, 281, 2872, 18, 38367, 39483, 17273, 6406, 309, 481, 9538, 979, 16, 374, 329, 1524, 14538, 8193, 2259, 3010, 30224, 2254, 2989, 10687, 334, 30218, 282, 1750, 11769, 14075, 477, 1963, 43687, 29537, 16, 367, 2145, 4783, 326, 2159, 22723, 13608, 282, 9804, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 19828, 478, 1098, 370, 948, 17, 730, 1569, 470, 17711, 9969, 11060, 35632, 9770, 289, 4007, 1051, 1360, 4966, 16, 1011, 1660, 4167, 309, 13216, 18578, 411, 8921, 382, 2394, 1385, 34411, 18, 42621, 320, 5841, 7336, 30936, 403, 4654, 6235, 1373, 575, 3953, 5481, 17708, 46850, 477, 5792, 18, 13925, 9969, 5568, 28783, 16, 309, 828, 26058, 685, 19073, 7127, 18, 31224, 30, 42699, 18351, 478, 47963, 1018, 17, 21, 470, 4167, 309, 13216, 18578, 411, 8921, 382, 2394, 1385, 34411, 4966, 478, 1098, 370, 948, 17, 730, 1569, 470, 1011, 924, 16, 428, 35921, 9770, 289, 4007, 1051, 282, 17618, 15406, 16, 961, 322, 20800, 975, 17884, 1882, 18, 42621, 320, 26282, 30936, 403, 4654, 6235, 19352, 16, 374, 25096, 17708, 46850, 281, 16052, 5792, 840, 41576, 18, 9967, 1963, 334, 262, 1262, 326, 16, 9969, 9738, 8382, 1188, 16035, 4887, 4966, 16, 367, 518, 16, 282, 1423, 3678, 16, 12002, 16, 374, 475, 39588, 10487, 18, 385, 1479, 24225, 309, 13839, 8616, 9969, 42119, 1011, 16130, 17, 960, 28223, 17, 4529, 818, 16, 988, 492, 12307, 2511, 17, 263, 1756, 18, 478, 2176, 453, 9068, 289, 13856, 17, 30592, 1408, 656, 40900, 2364, 5544, 5841, 368, 16, 510, 2780, 492, 18, 510, 3647, 322, 12113, 6853, 1853, 5894, 16, 656, 3005, 23468, 10718, 13437, 16, 827, 373, 687, 906, 12031, 30199, 18, 629, 322, 757, 3111, 282, 7337, 16, 374, 656, 3226, 40900, 281, 13856, 17, 285, 26572, 18, 629, 289, 1314, 322, 2447, 381, 803, 3111, 18, 740, 445, 309, 502, 16059, 651, 417, 322, 2447, 1143, 26559, 18, 25176, 8831, 481, 475, 282, 1190, 861, 459, 322, 1559, 8831, 18, 985, 5121, 16, 6376, 3793, 7005, 41124, 5773, 445, 21554, 281, 505, 21460, 5613, 18, 478, 1358, 939, 3027, 953, 282, 2045, 10505, 16, 510, 2815, 9969, 18, 510, 629, 2060, 16, 374, 7193, 322, 895, 953, 282, 29771, 582, 16, 1294, 320, 582, 18, 740, 417, 3027, 26697, 2223, 281, 44088, 334, 1533, 17, 263, 16, 541, 703, 481, 428, 24048, 748, 18, 1178, 475, 282, 10434, 840, 4927, 3624, 651, 13856, 17, 285, 19996, 16, 45617, 16, 322, 840, 1791, 281, 24467, 16, 417, 3478, 41969, 49324, 1488, 17, 2479, 16, 282, 34089, 16, 417, 685, 373, 12950, 861, 1895, 21638, 34694, 32010, 18, 13268, 575, 6605, 5825, 290, 970, 16, 374, 9770, 478, 1098, 370, 948, 17, 730, 1569, 470, 282, 6190, 43535, 1919, 895, 26541, 41124, 411, 8921, 382, 2394, 1385, 34411, 18, 3529, 349, 41124, 38973, 701, 30936, 403, 4654, 6235, 18, 478, 677, 803, 1045, 36398, 7786, 3306, 1426, 1963, 651, 289, 7193, 16 ]
[ 808, 360, 1612, 16, 322, 3525, 846, 3214, 30310, 12452, 290, 16022, 2662, 16, 289, 17711, 282, 1177, 445, 1320, 590, 7698, 36398, 282, 3177, 16876, 7337, 16, 417, 2879, 481, 11211, 16, 651, 16926, 403, 4654, 6235, 18, 651, 5890, 14887, 7272, 24732, 18, 27025, 289, 8996, 2272, 5658, 35212, 17708, 46850, 41124, 477, 13409, 16094, 3352, 18, 2877, 840, 453, 861, 4541, 3702, 4445, 583, 9969, 18, 2787, 520, 492, 583, 334, 262, 1262, 271, 16, 502, 520, 403, 4654, 6235, 505, 5807, 1154, 16, 515, 9969, 9096, 475, 26895, 289, 5568, 28783, 18, 478, 4529, 4236, 11271, 2654, 16, 417, 11326, 300, 12927, 1485, 16, 3387, 685, 14370, 286, 289, 939, 12633, 16, 510, 1109, 492, 3781, 17, 12495, 18, 510, 2465, 2043, 1166, 13607, 3586, 16, 289, 322, 309, 475, 417, 2564, 4751, 9043, 7392, 13433, 18, 740, 2512, 656, 28522, 2089, 6730, 281, 15825, 16, 289, 1314, 475, 282, 4666, 861, 478, 4441, 685, 3947, 4523, 3022, 16, 289, 1011, 492, 9738, 8382, 349, 1047, 1188, 15825, 16, 510, 14291, 403, 4654, 6235, 18, 510, 16662, 1143, 322, 6075, 1463, 18, 6023, 2826, 10677, 16, 289, 8996, 2272, 726, 9813, 364, 2089, 6730, 281, 44771, 339, 861, 36487, 18562, 289, 14942, 330, 294, 4224, 4762, 41124, 281, 36683, 18, 478, 672, 364, 3244, 651, 322, 45504, 16, 745, 1749, 16, 651, 1109, 9216, 4966, 22605, 39438, 263, 18, 651, 459, 16, 428, 289, 329, 6714, 5841, 7336, 16, 282, 1169, 35201, 7866, 4797, 2441, 18, 48772, 488, 17711, 282, 28223, 17, 4529, 818, 309, 24048, 748, 16, 492, 373, 40209, 16, 374, 322, 17060, 18, 2876, 656, 4608, 9529, 1177, 26058, 16, 428, 492, 924, 289, 9621, 6310, 18, 17711, 334, 11410, 19290, 9738, 8382, 1188, 15825, 18, 459, 16, 5870, 417, 2447, 14044, 16, 1743, 45457, 861, 459, 2826, 16, 9969, 27668, 2754, 1634, 43083, 883, 18, 10113, 11815, 282, 803, 1045, 13747, 42373, 448, 18058, 16, 515, 656, 7737, 10526, 281, 1781, 2535, 289, 453, 24225, 16, 289, 417, 322, 20522, 16, 374, 656, 14156, 1882, 34930, 294, 2411, 552, 13420, 14016, 910, 510, 29992, 3519, 38940, 8125, 2615, 8338, 18351, 478, 3975, 3979, 933, 5841, 368, 861, 17935, 7036, 411, 2422, 478, 3975, 3979, 933, 922, 3134, 3305, 910, 367, 1038, 5510, 34411, 282, 12013, 2422, 289, 3541, 282, 36976, 4480, 2632, 942, 4897, 309, 7759, 478, 47963, 1018, 17, 21, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 13324, 360, 3415, 1545, 411, 1962, 272, 11565, 3718, 17053, 17, 273, 1004, 1577, 7476, 6385, 364, 2238, 2825, 39568, 18, 20990, 272, 15543, 34580, 20808, 24240, 281, 1807, 16, 41026, 722, 282, 3580, 16, 367, 971, 16083, 282, 28918, 662, 11612, 281, 22131, 416, 18, 3397, 6342, 6699, 36797, 2797, 3264, 1867, 36560, 18, 31224, 30, 677, 10666, 46899, 11285, 371, 43130, 5579, 17, 14723, 5292, 18562, 11969, 1743, 334, 13229, 10076, 19670, 17, 17827, 2238, 2203, 14957, 718, 7904, 19887, 7377, 3946, 459, 18, 378, 18, 4104, 7408, 18, 985, 8977, 3781, 17, 9952, 23359, 11925, 672, 334, 5909, 877, 16, 17201, 639, 5698, 299, 334, 28637, 39537, 18, 16539, 2287, 18, 646, 8811, 21547, 17, 361, 10872, 13587, 11152, 309, 4625, 1631, 282, 16776, 16, 1763, 7420, 1709, 416, 10865, 18, 42427, 347, 5539, 11612, 24440, 295, 1312, 884, 18137, 16, 289, 492, 1715, 1833, 575, 14403, 282, 970, 16, 374, 12983, 18, 824, 4310, 3761, 16, 1312, 375, 583, 5053, 282, 28918, 662, 11612, 289, 14403, 24382, 955, 293, 40872, 9396, 16, 374, 492, 7807, 1465, 11367, 2238, 2825, 1962, 2594, 431, 16, 1011, 1660, 28918, 1133, 20233, 20353, 282, 37972, 9597, 18, 23302, 13587, 35454, 294, 4808, 2818, 8854, 272, 289, 282, 3709, 411, 4462, 6464, 20682, 8998, 49132, 11257, 7476, 6385, 9626, 39445, 3555, 18, 985, 12374, 16, 24440, 295, 1312, 375, 685, 3366, 5349, 7377, 16, 515, 282, 6104, 1045, 505, 360, 11149, 326, 349, 5769, 1124, 42049, 18, 2320, 4795, 549, 40399, 34554, 332, 16, 289, 726, 1293, 4776, 2158, 492, 1943, 685, 17560, 282, 9807, 18, 740, 1312, 375, 4427, 17, 299, 6088, 282, 1175, 18, 365, 11084, 282, 10384, 4079, 34580, 45073, 1577, 18643, 282, 8854, 16, 453, 289, 322, 31769, 975, 3766, 429, 17, 429, 842, 16, 20107, 282, 2615, 20690, 9399, 289, 30813, 2398, 17164, 10178, 1122, 6702, 4156, 20682, 18736, 680, 22374, 18, 20990, 272, 492, 9560, 282, 17890, 289, 4223, 281, 1498, 309, 8406, 18, 2263, 1312, 375, 2548, 16, 374, 308, 3729, 1962, 610, 2778, 954, 349, 4702, 1692, 7539, 505, 6215, 3033, 14492, 473, 275, 13785, 912, 2183, 525, 16425, 3384, 10177, 814, 2876, 16, 6146, 2515, 282, 7775, 39568, 16, 492, 15936, 1122, 478, 5218, 346, 9539, 470, 40590, 13558, 334, 7598, 2381, 16, 48635, 16, 22654, 520, 4462, 1254, 18, 365, 3709, 411, 1129, 3837, 12283, 516, 9286, 289, 18822, 811, 281, 1420, 18, 985, 975, 3225, 2156, 8132, 2459, 1450, 2398, 40590, 1055, 13860, 18, 39663, 2398, 15543, 8150, 519, 4319, 1326, 322, 3225, 18, 967, 49102, 6342, 6699, 32839, 5430, 371, 1169, 322, 5121, 18, 4802, 10292, 23359, 11925, 672, 334, 5909, 877, 12530, 2797, 4475, 6081, 613, 18, 740, 16, 428, 40530, 478, 46088, 18, 8381, 470, 282, 11925, 672, 16, 1055, 3352, 360, 5688, 5540, 2500, 30, 478, 21393, 3860, 281, 4747, 13108, 289, 41553, 40301, 16, 1029, 16, 25048, 1636, 275, 512, 16, 726, 322, 939, 17231, 20882, 16, 374, 34561, 2538, 18, 1483, 2398, 2548, 40590, 502, 520, 282, 17433, 392, 7563, 16, 502, 520, 282, 26402, 8731, 861, 22025, 448, 5024, 15543, 322, 41666, 17034, 18, 985, 10703, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 19887, 7377, 10261, 1241, 546, 3854, 16, 475, 8811, 478, 275, 39024, 360, 39502, 289, 37163, 617, 32610, 1081, 861, 478, 40050, 613, 978, 656, 46316, 18, 817, 12175, 294, 1299, 282, 7520, 1045, 18, 740, 1715, 322, 16647, 18, 365, 5049, 1045, 685, 360, 3415, 286, 18, 365, 5021, 17, 277, 4522, 811, 289, 1715, 1833, 575, 685, 1858, 360, 3415, 286, 910, 40590, 2548, 678, 18, 985, 40530, 282, 35644, 263, 16, 28964, 10076, 41158, 15543, 322, 7533, 318, 18, 824, 3163, 1241, 10591, 416, 16, 45073, 1577, 25660, 706, 309, 40166, 10072, 1809, 22374, 40590, 502, 912, 294, 40166, 18736, 680, 22374, 16, 988, 13000, 3994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 808, 360, 1612, 16, 322, 3525, 846, 3214, 30310, 12452, 290, 16022, 2662, 16, 289, 17711, 282, 1177, 445, 1320, 590, 7698, 36398, 282, 3177, 16876, 7337, 16, 417, 2879, 481, 11211, 16, 651, 16926, 403, 4654, 6235, 18, 651, 5890, 14887, 7272, 24732, 18, 27025, 289, 8996, 2272, 5658, 35212, 17708, 46850, 41124, 477, 13409, 16094, 3352, 18, 2877, 840, 453, 861, 4541, 3702, 4445, 583, 9969, 18, 2787, 520, 492, 583, 334, 262, 1262, 271, 16, 502, 520, 403, 4654, 6235, 505, 5807, 1154, 16, 515, 9969, 9096, 475, 26895, 289, 5568, 28783, 18, 478, 4529, 4236, 11271, 2654, 16, 417, 11326, 300, 12927, 1485, 16, 3387, 685, 14370, 286, 289, 939, 12633, 16, 510, 1109, 492, 3781, 17, 12495, 18, 510, 2465, 2043, 1166, 13607, 3586, 16, 289, 322, 309, 475, 417, 2564, 4751, 9043, 7392, 13433, 18, 740, 2512, 656, 28522, 2089, 6730, 281, 15825, 16, 289, 1314, 475, 282, 4666, 861, 478, 4441, 685, 3947, 4523, 3022, 16, 289, 1011, 492, 9738, 8382, 349, 1047, 1188, 15825, 16, 510, 14291, 403, 4654, 6235, 18, 510, 16662, 1143, 322, 6075, 1463, 18, 6023, 2826, 10677, 16, 289, 8996, 2272, 726, 9813, 364, 2089, 6730, 281, 44771, 339, 861, 36487, 18562, 289, 14942, 330, 294, 4224, 4762, 41124, 281, 36683, 18, 478, 672, 364, 3244, 651, 322, 45504, 16, 745, 1749, 16, 651, 1109, 9216, 4966, 22605, 39438, 263, 18, 651, 459, 16, 428, 289, 329, 6714, 5841, 7336, 16, 282, 1169, 35201, 7866, 4797, 2441, 18, 48772, 488, 17711, 282, 28223, 17, 4529, 818, 309, 24048, 748, 16, 492, 373, 40209, 16, 374, 322, 17060, 18, 2876, 656, 4608, 9529, 1177, 26058, 16, 428, 492, 924, 289, 9621, 6310, 18, 17711, 334, 11410, 19290, 9738, 8382, 1188, 15825, 18, 459, 16, 5870, 417, 2447, 14044, 16, 1743, 45457, 861, 459, 2826, 16, 9969, 27668, 2754, 1634, 43083, 883, 18, 10113, 11815, 282, 803, 1045, 13747, 42373, 448, 18058, 16, 515, 656, 7737, 10526, 281, 1781, 2535, 289, 453, 24225, 16, 289, 417, 322, 20522, 16, 374, 656, 14156, 1882, 34930, 294, 2411, 552, 13420, 14016, 910, 510, 29992, 3519, 38940, 8125, 2615, 8338, 18351, 478, 3975, 3979, 933, 5841, 368, 861, 17935, 7036, 411, 2422, 478, 3975, 3979, 933, 922, 3134, 3305, 910, 367, 1038, 5510, 34411, 282, 12013, 2422, 289, 3541, 282, 36976, 4480, 2632, 942, 4897, 309, 7759, 478, 47963, 1018, 17, 21, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 13324, 360, 3415, 1545, 411, 1962, 272, 11565, 3718, 17053, 17, 273, 1004, 1577, 7476, 6385, 364, 2238, 2825, 39568, 18, 20990, 272, 15543, 34580, 20808, 24240, 281, 1807, 16, 41026, 722, 282, 3580, 16, 367, 971, 16083, 282, 28918, 662, 11612, 281, 22131, 416, 18, 3397, 6342, 6699, 36797, 2797, 3264, 1867, 36560, 18, 31224, 30, 677, 10666, 46899, 11285, 371, 43130, 5579, 17, 14723, 5292, 18562, 11969, 1743, 334, 13229, 10076, 19670, 17, 17827, 2238, 2203, 14957, 718, 7904, 19887, 7377, 3946, 459, 18, 378, 18, 4104, 7408, 18, 985, 8977, 3781, 17, 9952, 23359, 11925, 672, 334, 5909, 877, 16, 17201, 639, 5698, 299, 334, 28637, 39537, 18, 16539, 2287, 18, 646, 8811, 21547, 17, 361, 10872, 13587, 11152, 309, 4625, 1631, 282, 16776, 16, 1763, 7420, 1709, 416, 10865, 18, 42427, 347, 5539, 11612, 24440, 295, 1312, 884, 18137, 16, 289, 492, 1715, 1833, 575, 14403, 282, 970, 16, 374, 12983, 18, 824, 4310, 3761, 16, 1312, 375, 583, 5053, 282, 28918, 662, 11612, 289, 14403, 24382, 955, 293, 40872, 9396, 16, 374, 492, 7807, 1465, 11367, 2238, 2825, 1962, 2594, 431, 16, 1011, 1660, 28918, 1133, 20233, 20353, 282, 37972, 9597, 18, 23302, 13587, 35454, 294, 4808, 2818, 8854, 272, 289, 282, 3709, 411, 4462, 6464, 20682, 8998, 49132, 11257, 7476, 6385, 9626, 39445, 3555, 18, 985, 12374, 16, 24440, 295, 1312, 375, 685, 3366, 5349, 7377, 16, 515, 282, 6104, 1045, 505, 360, 11149, 326, 349, 5769, 1124, 42049, 18, 2320, 4795, 549, 40399, 34554, 332, 16, 289, 726, 1293, 4776, 2158, 492, 1943, 685, 17560, 282, 9807, 18, 740, 1312, 375, 4427, 17, 299, 6088, 282, 1175, 18, 365, 11084, 282, 10384, 4079, 34580, 45073, 1577, 18643, 282, 8854, 16, 453, 289, 322, 31769, 975, 3766, 429, 17, 429, 842, 16, 20107, 282, 2615, 20690, 9399, 289, 30813, 2398, 17164, 10178, 1122, 6702, 4156, 20682, 18736, 680, 22374, 18, 20990, 272, 492, 9560, 282, 17890, 289, 4223, 281, 1498, 309, 8406, 18, 2263, 1312, 375, 2548, 16, 374, 308, 3729, 1962, 610, 2778, 954, 349, 4702, 1692, 7539, 505, 6215, 3033, 14492, 473, 275, 13785, 912, 2183, 525, 16425, 3384, 10177, 814, 2876, 16, 6146, 2515, 282, 7775, 39568, 16, 492, 15936, 1122, 478, 5218, 346, 9539, 470, 40590, 13558, 334, 7598, 2381, 16, 48635, 16, 22654, 520, 4462, 1254, 18, 365, 3709, 411, 1129, 3837, 12283, 516, 9286, 289, 18822, 811, 281, 1420, 18, 985, 975, 3225, 2156, 8132, 2459, 1450, 2398, 40590, 1055, 13860, 18, 39663, 2398, 15543, 8150, 519, 4319, 1326, 322, 3225, 18, 967, 49102, 6342, 6699, 32839, 5430, 371, 1169, 322, 5121, 18, 4802, 10292, 23359, 11925, 672, 334, 5909, 877, 12530, 2797, 4475, 6081, 613, 18, 740, 16, 428, 40530, 478, 46088, 18, 8381, 470, 282, 11925, 672, 16, 1055, 3352, 360, 5688, 5540, 2500, 30, 478, 21393, 3860, 281, 4747, 13108, 289, 41553, 40301, 16, 1029, 16, 25048, 1636, 275, 512, 16, 726, 322, 939, 17231, 20882, 16, 374, 34561, 2538, 18, 1483, 2398, 2548, 40590, 502, 520, 282, 17433, 392, 7563, 16, 502, 520, 282, 26402, 8731, 861, 22025, 448, 5024, 15543, 322, 41666, 17034, 18, 985, 10703, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 19887, 7377, 10261, 1241, 546, 3854, 16, 475, 8811, 478, 275, 39024, 360, 39502, 289, 37163, 617, 32610, 1081, 861, 478, 40050, 613, 978, 656, 46316, 18, 817, 12175, 294, 1299, 282, 7520, 1045, 18, 740, 1715, 322, 16647, 18, 365, 5049, 1045, 685, 360, 3415, 286, 18, 365, 5021, 17, 277, 4522, 811, 289, 1715, 1833, 575, 685, 1858, 360, 3415, 286, 910, 40590, 2548, 678, 18, 985, 40530, 282, 35644, 263, 16, 28964, 10076, 41158, 15543, 322, 7533, 318, 18, 824, 3163, 1241, 10591, 416, 16, 45073, 1577, 25660, 706, 309, 40166, 10072, 1809, 22374, 40590, 502, 912, 294, 40166, 18736, 680, 22374, 16, 988, 13000, 3994 ]
[ 1712, 16, 492, 322, 5195, 5522, 3361, 30, 478, 4529, 935, 827, 373, 289, 5195, 16, 6702, 6667, 322, 14963, 4302, 10120, 381, 360, 3415, 4912, 861, 365, 35644, 263, 12982, 751, 16, 374, 1312, 375, 2141, 3164, 282, 1175, 18, 478, 677, 5021, 1045, 656, 28361, 2311, 281, 1498, 4957, 18, 459, 16, 8774, 16, 505, 4795, 549, 40399, 906, 32313, 18, 2787, 912, 492, 1943, 685, 17560, 411, 2553, 910, 40590, 44893, 282, 3781, 17, 12495, 18, 2970, 1309, 520, 1312, 375, 282, 6551, 334, 2107, 3731, 263, 670, 2141, 10387, 322, 329, 26582, 16, 6232, 1063, 10372, 1398, 16, 10480, 18, 365, 24490, 13164, 334, 5909, 877, 289, 23856, 1767, 17245, 14090, 5024, 290, 31964, 978, 4244, 613, 16, 4437, 6954, 16, 374, 26475, 2651, 4371, 11925, 672, 289, 322, 1698, 722, 41666, 2253, 16, 1055, 3419, 13391, 18, 365, 12895, 3623, 1962, 610, 30784, 17245, 34991, 6730, 18, 33465, 12424, 24607, 19887, 7377, 3946, 459, 18, 378, 18, 4104, 7408, 3164, 309, 5964, 5217, 49484, 382, 16, 11711, 39568, 381, 1208, 798, 41387, 18, 22238, 8999, 16, 2319, 349, 21923, 13495, 16, 4222, 12744, 16, 515, 16675, 276, 12219, 1122, 12993, 16, 3387, 309, 2923, 39568, 6535, 23378, 837, 289, 28564, 412, 11695, 266, 18, 15924, 25204, 382, 289, 8999, 3649, 287, 802, 687, 309, 3765, 281, 17252, 8600, 519, 10096, 670, 10504, 4079, 18, 365, 11404, 808, 2789, 23467, 18, 1241, 40864, 394, 39568, 40590, 12165, 9890, 749, 10107, 16, 2789, 282, 6359, 281, 7626, 23467, 18, 2, 1, 87, 1456, 81, 2448, 30, 28810, 415, 546, 31322, 3641, 478, 34275, 2976, 28376, 470, 16536, 649, 8616, 1728, 9798, 17799, 5002, 312, 457, 1630, 613, 16, 1029, 282, 6104, 11258, 14268, 478, 684, 19746, 267, 470, 294, 697, 19955, 6590, 454, 30691, 326, 18, 3771, 3141, 46164, 1286, 4691, 17, 306, 46234, 282, 29730, 289, 4223, 309, 1760, 17, 263, 1756, 282, 14526, 7878, 27665, 291, 349, 2651, 5901, 18389, 18, 3557, 5547, 32124, 478, 21664, 395, 1219, 507, 470, 14013, 509, 29705, 2440, 44535, 25108, 2854, 505, 12319, 2675, 19625, 774, 27953, 3882, 25080, 289, 7236, 8452, 4523, 9871, 16, 367, 7550, 24051, 23150, 46164, 1423, 4698, 46234, 282, 29730, 18, 31224, 30, 471, 34275, 32446, 9699, 1748, 300, 288, 470, 6816, 415, 546, 1645, 324, 4424, 10021, 271, 282, 4301, 32671, 7561, 29730, 4453, 40131, 5071, 4276, 5002, 312, 457, 1630, 1159, 16, 1029, 14268, 8616, 294, 19955, 282, 3182, 6590, 454, 30691, 326, 282, 11258, 17, 32008, 19, 2692, 18, 1937, 8802, 38331, 6054, 10218, 381, 32684, 282, 478, 27296, 17, 15900, 7070, 637, 46871, 910, 21188, 898, 23934, 9416, 6025, 16, 2686, 773, 3711, 36300, 281, 2733, 25120, 30, 9770, 322, 1103, 45467, 11389, 477, 34316, 309, 505, 4190, 18, 478, 43588, 4211, 910, 510, 1469, 406, 300, 6400, 774, 34544, 48872, 504, 27715, 2895, 9065, 266, 818, 18, 6290, 4056, 6493, 1406, 309, 27027, 1251, 26434, 289, 505, 373, 8309, 21166, 6150, 457, 1630, 1159, 7153, 4030, 14007, 778, 31730, 522, 16, 367, 583, 492, 6531, 46910, 2823, 16452, 26226, 478, 684, 19746, 267, 470, 282, 43813, 582, 16, 282, 4698, 3678, 381, 16779, 415, 546, 1645, 324, 18, 46302, 6277, 33484, 40208, 5082, 407, 972, 5110, 444, 32330, 16, 4180, 6671, 40208, 4867, 1338, 9094, 9333, 517, 7162, 39, 1836, 1075, 5109, 18, 3527, 35137, 1092, 15523, 35153, 12710, 3044, 16, 1185, 11067, 654, 860, 25628, 18, 9094, 30496, 48, 14592, 17511, 31738, 18, 32767, 18, 3758, 19, 27, 60, 28, 78, 21, 41, 74, 94, 60, 94, 2046, 309, 27027, 475, 15329, 5676, 6933, 282, 6104, 30, 478, 34275, 32446, 470, 1139, 33945, 8616, 1728, 9798, 42398, 18, 5181, 16, 2948, 6844, 478, 27296, 17, 15900, 470, 473, 26686, 309, 8653, 17, 295, 3749, 476, 5790, 46459, 5484, 266, 1049, 21232, 293, 864, 332, 934, 515, 478, 34275, 32446, 470, 17060, 2852, 19163, 16287, 9410, 16, 453, 374, 935, 2174, 49982, 18384, 17740, 6287, 697, 322, 6084, 6410, 18, 478, 9676, 823, 2497, 470, 6597, 1423, 3941, 18, 16577, 1223, 4038, 1879, 5990, 19475, 2612, 3221, 4165, 2948, 16, 567, 7422, 29235, 1651, 981, 446, 23009, 478, 684, 599, 1748, 300, 288, 470, 4024, 16, 367, 282, 5462, 582, 14515, 1939, 17, 25822, 382, 1500, 575, 19475, 2612, 3404, 16432, 7646, 6920, 536, 473, 23, 30, 21, 814, 478, 630, 7719, 341, 12372, 470, 22059, 19671, 521, 289, 4732, 6281, 282, 5270, 40518, 16, 7206, 19338, 6730, 18, 478, 34275, 2976, 28376, 470, 575, 1381, 639, 13449, 10780, 282, 8267, 16, 510, 289, 309, 16996, 4223, 415, 546, 31322, 18, 2112, 2913, 30746, 4744, 820, 478, 19253, 637, 46871, 470, 3716, 281, 478, 293, 35100, 2147, 470, 478, 684, 19746, 267, 470, 3225, 49735, 46234, 18, 385, 324, 989, 21502, 3720, 289, 282, 7366, 6058, 1531, 364, 5065, 7872, 16, 374, 34620, 5002, 288, 1918, 371, 1514, 505, 3579, 750, 453, 289, 322, 3225, 23124, 18952, 16028, 281, 6920, 496, 17877, 6972, 368, 18, 3863, 774, 1559, 541, 415, 420, 1281, 17, 277, 282, 803, 11258, 289, 1286, 4691, 17, 277, 651, 349, 808, 282, 29730, 16, 374, 19344, 13403, 10650, 6863, 309, 1760, 17, 263, 1756, 282, 14526, 7878, 27665, 291, 349, 2651, 5901, 18389, 18, 3771, 3141, 3221, 13910, 334, 20919, 1593, 281, 17659, 758, 10167, 385, 3588, 635, 289, 1467, 4309, 304, 459, 3740, 5499, 18, 4802, 11402, 3300, 651, 1286, 5041, 15277, 296, 27146, 342, 4944, 37115, 16, 1029, 21536, 4615, 26567, 30691, 326, 281, 478, 15995, 10738, 17, 983, 4013, 15084, 266, 19579, 470, 282, 7520, 1045, 18, 9051, 25307, 1195, 478, 27296, 17, 15900, 7070, 637, 46871, 470, 478, 34275, 32446, 470, 18462, 5741, 48148, 289, 1441, 9225, 3303, 4367, 1756, 282, 17654, 9964, 18, 889, 726, 1573, 5596, 19440, 5398, 478, 285, 823, 2466, 470, 9410, 16, 510, 289, 567, 1209, 21273, 415, 546, 31322, 36927, 3411, 1018, 349, 1619, 23992, 18, 478, 21664, 18113, 948, 37539, 4468, 3922, 267, 470, 14013, 746, 29705, 3854, 30682, 8955, 1195, 478, 29392, 932, 266, 10399, 608, 2976, 288, 470, 281, 31044, 13231, 1757, 12932, 1409, 30, 25, 18, 3771, 3141, 46459, 282, 1335, 9155, 5512, 1619, 16680, 850, 4887, 289, 16, 374, 4703, 1033, 6026, 16, 510, 23344, 35558, 774, 304, 18, 2667, 978, 768, 426, 1219, 3562, 473, 293, 2105 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1712, 16, 492, 322, 5195, 5522, 3361, 30, 478, 4529, 935, 827, 373, 289, 5195, 16, 6702, 6667, 322, 14963, 4302, 10120, 381, 360, 3415, 4912, 861, 365, 35644, 263, 12982, 751, 16, 374, 1312, 375, 2141, 3164, 282, 1175, 18, 478, 677, 5021, 1045, 656, 28361, 2311, 281, 1498, 4957, 18, 459, 16, 8774, 16, 505, 4795, 549, 40399, 906, 32313, 18, 2787, 912, 492, 1943, 685, 17560, 411, 2553, 910, 40590, 44893, 282, 3781, 17, 12495, 18, 2970, 1309, 520, 1312, 375, 282, 6551, 334, 2107, 3731, 263, 670, 2141, 10387, 322, 329, 26582, 16, 6232, 1063, 10372, 1398, 16, 10480, 18, 365, 24490, 13164, 334, 5909, 877, 289, 23856, 1767, 17245, 14090, 5024, 290, 31964, 978, 4244, 613, 16, 4437, 6954, 16, 374, 26475, 2651, 4371, 11925, 672, 289, 322, 1698, 722, 41666, 2253, 16, 1055, 3419, 13391, 18, 365, 12895, 3623, 1962, 610, 30784, 17245, 34991, 6730, 18, 33465, 12424, 24607, 19887, 7377, 3946, 459, 18, 378, 18, 4104, 7408, 3164, 309, 5964, 5217, 49484, 382, 16, 11711, 39568, 381, 1208, 798, 41387, 18, 22238, 8999, 16, 2319, 349, 21923, 13495, 16, 4222, 12744, 16, 515, 16675, 276, 12219, 1122, 12993, 16, 3387, 309, 2923, 39568, 6535, 23378, 837, 289, 28564, 412, 11695, 266, 18, 15924, 25204, 382, 289, 8999, 3649, 287, 802, 687, 309, 3765, 281, 17252, 8600, 519, 10096, 670, 10504, 4079, 18, 365, 11404, 808, 2789, 23467, 18, 1241, 40864, 394, 39568, 40590, 12165, 9890, 749, 10107, 16, 2789, 282, 6359, 281, 7626, 23467, 18, 2, 1, 87, 1456, 81, 2448, 30, 28810, 415, 546, 31322, 3641, 478, 34275, 2976, 28376, 470, 16536, 649, 8616, 1728, 9798, 17799, 5002, 312, 457, 1630, 613, 16, 1029, 282, 6104, 11258, 14268, 478, 684, 19746, 267, 470, 294, 697, 19955, 6590, 454, 30691, 326, 18, 3771, 3141, 46164, 1286, 4691, 17, 306, 46234, 282, 29730, 289, 4223, 309, 1760, 17, 263, 1756, 282, 14526, 7878, 27665, 291, 349, 2651, 5901, 18389, 18, 3557, 5547, 32124, 478, 21664, 395, 1219, 507, 470, 14013, 509, 29705, 2440, 44535, 25108, 2854, 505, 12319, 2675, 19625, 774, 27953, 3882, 25080, 289, 7236, 8452, 4523, 9871, 16, 367, 7550, 24051, 23150, 46164, 1423, 4698, 46234, 282, 29730, 18, 31224, 30, 471, 34275, 32446, 9699, 1748, 300, 288, 470, 6816, 415, 546, 1645, 324, 4424, 10021, 271, 282, 4301, 32671, 7561, 29730, 4453, 40131, 5071, 4276, 5002, 312, 457, 1630, 1159, 16, 1029, 14268, 8616, 294, 19955, 282, 3182, 6590, 454, 30691, 326, 282, 11258, 17, 32008, 19, 2692, 18, 1937, 8802, 38331, 6054, 10218, 381, 32684, 282, 478, 27296, 17, 15900, 7070, 637, 46871, 910, 21188, 898, 23934, 9416, 6025, 16, 2686, 773, 3711, 36300, 281, 2733, 25120, 30, 9770, 322, 1103, 45467, 11389, 477, 34316, 309, 505, 4190, 18, 478, 43588, 4211, 910, 510, 1469, 406, 300, 6400, 774, 34544, 48872, 504, 27715, 2895, 9065, 266, 818, 18, 6290, 4056, 6493, 1406, 309, 27027, 1251, 26434, 289, 505, 373, 8309, 21166, 6150, 457, 1630, 1159, 7153, 4030, 14007, 778, 31730, 522, 16, 367, 583, 492, 6531, 46910, 2823, 16452, 26226, 478, 684, 19746, 267, 470, 282, 43813, 582, 16, 282, 4698, 3678, 381, 16779, 415, 546, 1645, 324, 18, 46302, 6277, 33484, 40208, 5082, 407, 972, 5110, 444, 32330, 16, 4180, 6671, 40208, 4867, 1338, 9094, 9333, 517, 7162, 39, 1836, 1075, 5109, 18, 3527, 35137, 1092, 15523, 35153, 12710, 3044, 16, 1185, 11067, 654, 860, 25628, 18, 9094, 30496, 48, 14592, 17511, 31738, 18, 32767, 18, 3758, 19, 27, 60, 28, 78, 21, 41, 74, 94, 60, 94, 2046, 309, 27027, 475, 15329, 5676, 6933, 282, 6104, 30, 478, 34275, 32446, 470, 1139, 33945, 8616, 1728, 9798, 42398, 18, 5181, 16, 2948, 6844, 478, 27296, 17, 15900, 470, 473, 26686, 309, 8653, 17, 295, 3749, 476, 5790, 46459, 5484, 266, 1049, 21232, 293, 864, 332, 934, 515, 478, 34275, 32446, 470, 17060, 2852, 19163, 16287, 9410, 16, 453, 374, 935, 2174, 49982, 18384, 17740, 6287, 697, 322, 6084, 6410, 18, 478, 9676, 823, 2497, 470, 6597, 1423, 3941, 18, 16577, 1223, 4038, 1879, 5990, 19475, 2612, 3221, 4165, 2948, 16, 567, 7422, 29235, 1651, 981, 446, 23009, 478, 684, 599, 1748, 300, 288, 470, 4024, 16, 367, 282, 5462, 582, 14515, 1939, 17, 25822, 382, 1500, 575, 19475, 2612, 3404, 16432, 7646, 6920, 536, 473, 23, 30, 21, 814, 478, 630, 7719, 341, 12372, 470, 22059, 19671, 521, 289, 4732, 6281, 282, 5270, 40518, 16, 7206, 19338, 6730, 18, 478, 34275, 2976, 28376, 470, 575, 1381, 639, 13449, 10780, 282, 8267, 16, 510, 289, 309, 16996, 4223, 415, 546, 31322, 18, 2112, 2913, 30746, 4744, 820, 478, 19253, 637, 46871, 470, 3716, 281, 478, 293, 35100, 2147, 470, 478, 684, 19746, 267, 470, 3225, 49735, 46234, 18, 385, 324, 989, 21502, 3720, 289, 282, 7366, 6058, 1531, 364, 5065, 7872, 16, 374, 34620, 5002, 288, 1918, 371, 1514, 505, 3579, 750, 453, 289, 322, 3225, 23124, 18952, 16028, 281, 6920, 496, 17877, 6972, 368, 18, 3863, 774, 1559, 541, 415, 420, 1281, 17, 277, 282, 803, 11258, 289, 1286, 4691, 17, 277, 651, 349, 808, 282, 29730, 16, 374, 19344, 13403, 10650, 6863, 309, 1760, 17, 263, 1756, 282, 14526, 7878, 27665, 291, 349, 2651, 5901, 18389, 18, 3771, 3141, 3221, 13910, 334, 20919, 1593, 281, 17659, 758, 10167, 385, 3588, 635, 289, 1467, 4309, 304, 459, 3740, 5499, 18, 4802, 11402, 3300, 651, 1286, 5041, 15277, 296, 27146, 342, 4944, 37115, 16, 1029, 21536, 4615, 26567, 30691, 326, 281, 478, 15995, 10738, 17, 983, 4013, 15084, 266, 19579, 470, 282, 7520, 1045, 18, 9051, 25307, 1195, 478, 27296, 17, 15900, 7070, 637, 46871, 470, 478, 34275, 32446, 470, 18462, 5741, 48148, 289, 1441, 9225, 3303, 4367, 1756, 282, 17654, 9964, 18, 889, 726, 1573, 5596, 19440, 5398, 478, 285, 823, 2466, 470, 9410, 16, 510, 289, 567, 1209, 21273, 415, 546, 31322, 36927, 3411, 1018, 349, 1619, 23992, 18, 478, 21664, 18113, 948, 37539, 4468, 3922, 267, 470, 14013, 746, 29705, 3854, 30682, 8955, 1195, 478, 29392, 932, 266, 10399, 608, 2976, 288, 470, 281, 31044, 13231, 1757, 12932, 1409, 30, 25, 18, 3771, 3141, 46459, 282, 1335, 9155, 5512, 1619, 16680, 850, 4887, 289, 16, 374, 4703, 1033, 6026, 16, 510, 23344, 35558, 774, 304, 18, 2667, 978, 768, 426, 1219, 3562, 473, 293, 2105 ]
[ 420, 456, 16452, 265, 419, 13, 282, 4722, 445, 6415, 18398, 46234, 16638, 4039, 3802, 18, 20012, 12549, 1453, 3361, 281, 14497, 17983, 16, 961, 46119, 47607, 1307, 28772, 1103, 21028, 11389, 473, 782, 6822, 8802, 29705, 2440, 5304, 1852, 31556, 41458, 289, 3257, 23113, 8616, 934, 2917, 19574, 13394, 41804, 2232, 588, 9475, 890, 18, 7699, 43775, 935, 24782, 8620, 8475, 49353, 411, 7586, 16, 1576, 7892, 16, 374, 749, 1047, 10434, 840, 1882, 282, 22979, 17, 21131, 16, 2686, 48827, 3631, 3021, 282, 8267, 1279, 478, 29392, 932, 354, 470, 14013, 509, 7846, 16, 2006, 9770, 478, 440, 1608, 34581, 483, 470, 453, 349, 1047, 6352, 3108, 18, 478, 21664, 18113, 948, 470, 6844, 2948, 4426, 2222, 16, 374, 47143, 3404, 19387, 7539, 774, 27953, 22447, 309, 378, 7286, 17, 10150, 343, 12653, 1219, 264, 30, 4686, 15277, 807, 13190, 2829, 290, 12908, 349, 34414, 21755, 16, 367, 2512, 15613, 555, 2820, 424, 5155, 3724, 6683, 659, 3326, 22244, 1159, 16, 1029, 7316, 722, 282, 8999, 18, 14072, 1250, 349, 15654, 282, 7398, 19677, 1479, 1165, 16, 367, 28929, 334, 272, 7298, 326, 281, 1479, 24225, 30, 10376, 2900, 4999, 3022, 758, 953, 322, 1698, 16, 289, 322, 11211, 9250, 8462, 29705, 3854, 639, 1139, 4385, 18, 4541, 10167, 301, 24088, 2612, 32644, 364, 16432, 478, 21664, 395, 1219, 507, 910, 367, 424, 6398, 4183, 10485, 14013, 509, 3404, 505, 2701, 1334, 536, 473, 23, 30, 20, 934, 2401, 35526, 282, 11063, 3716, 411, 28065, 16883, 282, 13090, 7046, 18, 33005, 807, 9438, 555, 2820, 282, 13757, 3675, 478, 5486, 530, 454, 861, 2112, 13231, 1081, 16733, 774, 1134, 2948, 1559, 1061, 30, 24, 473, 1369, 17, 6093, 282, 4356, 478, 21664, 395, 1219, 507, 910, 2686, 478, 1023, 5660, 470, 726, 537, 5162, 4110, 19802, 282, 1421, 15277, 919, 934, 289, 1381, 639, 12533, 374, 17, 299, 46325, 16, 753, 8945, 45035, 282, 5462, 582, 5790, 18, 459, 282, 2456, 3998, 11202, 10485, 29705, 2440, 5962, 3455, 282, 16, 2628, 16, 9258, 2545, 774, 3643, 31277, 478, 983, 623, 4468, 3922, 267, 910, 47579, 16960, 9871, 309, 37970, 2725, 20720, 1624, 1029, 16, 282, 1423, 3678, 16, 14212, 46234, 282, 15687, 17, 277, 1918, 309, 478, 293, 35100, 7125, 910, 988, 12653, 1219, 264, 282, 8384, 282, 317, 1501, 15702, 282, 8999, 651, 1286, 30, 24, 18, 478, 29392, 932, 266, 470, 31392, 1309, 764, 3348, 774, 304, 473, 26, 30, 25, 13, 309, 15882, 17, 295, 20537, 16, 515, 639, 726, 6774, 374, 17, 299, 9358, 2666, 18, 41510, 32853, 764, 7316, 46234, 282, 16246, 24221, 473, 27, 30, 25, 934, 289, 309, 803, 2117, 906, 48257, 18, 29705, 2440, 685, 14449, 4056, 33531, 5790, 18, 2877, 309, 14540, 18952, 5539, 4016, 473, 26, 15, 2932, 13, 12994, 16, 367, 505, 7193, 281, 2555, 3411, 6425, 9225, 13150, 4367, 1756, 309, 15939, 651, 1833, 349, 478, 34275, 2976, 16678, 470, 415, 546, 1645, 324, 18, 3739, 3348, 34895, 6832, 31342, 282, 9220, 2529, 10040, 298, 29730, 1559, 2615, 774, 18083, 24051, 1709, 401, 349, 478, 789, 48577, 25109, 16949, 2151, 399, 267, 861, 30858, 742, 12715, 28910, 451, 9518, 282, 29730, 289, 1055, 14900, 1472, 13647, 2292, 883, 11389, 281, 22244, 680, 15825, 16, 2686, 16, 827, 475, 10222, 282, 970, 575, 16712, 16, 492, 2397, 475, 16171, 10570, 506, 424, 4184, 18, 967, 20545, 430, 30, 21, 24051, 23150, 282, 317, 1501, 46234, 282, 8999, 1678, 20298, 4744, 1212, 411, 27546, 16883, 282, 13090, 7046, 510, 282, 10198, 415, 546, 1645, 324, 18, 1268, 347, 1779, 975, 774, 27953, 22447, 411, 17, 431, 7889, 10476, 11833, 271, 2101, 1458, 26890, 38727, 15702, 289, 37535, 505, 309, 22596, 454, 44873, 16, 753, 47143, 757, 16092, 505, 309, 6642, 18, 2112, 7977, 25236, 2815, 16, 374, 360, 10037, 505, 1139, 478, 598, 2736, 576, 15816, 910, 289, 492, 4573, 2657, 341, 5943, 668, 46234, 3977, 16, 294, 17683, 16, 988, 329, 1047, 34643, 475, 19650, 18, 385, 9752, 978, 37253, 24051, 23150, 3227, 3519, 5004, 309, 13051, 416, 284, 2843, 411, 3437, 16287, 281, 1619, 16680, 20323, 9410, 18, 478, 1358, 6317, 16, 374, 492, 17363, 16, 515, 1143, 1223, 784, 282, 1169, 5550, 16, 374, 492, 1623, 18904, 536, 1039, 562, 291, 15224, 16, 510, 7332, 12117, 4788, 29730, 1694, 17799, 478, 789, 48577, 470, 4809, 343, 30219, 296, 273, 1214, 18, 510, 817, 9298, 34559, 2389, 289, 4040, 939, 14158, 28067, 24163, 624, 18, 4320, 656, 505, 282, 1335, 4096, 322, 17239, 3637, 16, 515, 38111, 16, 374, 492, 309, 481, 8908, 18, 439, 764, 492, 9298, 4744, 1212, 18, 817, 1055, 978, 322, 7846, 16, 515, 492, 13044, 13304, 281, 15277, 3376, 289, 322, 15546, 481, 2240, 18, 24051, 23150, 895, 4933, 289, 7644, 1086, 16, 289, 6281, 18, 4635, 2184, 10147, 5349, 492, 35808, 2496, 7842, 861, 9051, 45796, 18952, 5539, 478, 789, 48577, 470, 30682, 8955, 1195, 478, 983, 4476, 356, 12582, 375, 288, 470, 477, 12932, 1032, 30, 22, 289, 1441, 9225, 18326, 1756, 282, 17654, 9964, 281, 12060, 3411, 6425, 282, 1069, 12925, 18, 22405, 281, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 309, 7759, 20280, 35297, 18389, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 3187, 4267, 9804, 18817, 3806, 11972, 2221, 42878, 847, 519, 16838, 13420, 5576, 18, 34934, 1775, 1948, 7558, 16, 14218, 4851, 25094, 30880, 289, 20213, 46227, 16, 16379, 33621, 282, 9937, 18, 9418, 281, 4650, 536, 21706, 282, 7522, 10232, 23344, 19228, 8889, 18, 2046, 4275, 412, 3847, 24549, 10033, 30, 294, 9747, 5576, 1948, 7558, 3424, 16379, 3906, 2102, 18, 31224, 30, 677, 4101, 36440, 1133, 289, 5487, 4701, 36743, 416, 22564, 14571, 2882, 395, 322, 9553, 25953, 282, 3304, 7840, 16, 2280, 3299, 3304, 1798, 3245, 670, 1830, 373, 48126, 1291, 349, 22293, 4857, 3304, 21376, 1082, 18, 365, 3998, 13420, 5576, 30880, 322, 36121, 847, 18, 9570, 12504, 1577, 281, 46227, 309, 1032, 9891, 507, 4803, 14471, 31249, 733, 32827, 2640, 18168, 16, 13737, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 861, 2667, 3915, 4120, 4004, 24628, 3716, 322, 25190, 18, 365, 10882, 16, 4813, 309, 36894, 263, 33603, 16, 322, 6110, 16419, 309, 14734, 382, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 420, 456, 16452, 265, 419, 13, 282, 4722, 445, 6415, 18398, 46234, 16638, 4039, 3802, 18, 20012, 12549, 1453, 3361, 281, 14497, 17983, 16, 961, 46119, 47607, 1307, 28772, 1103, 21028, 11389, 473, 782, 6822, 8802, 29705, 2440, 5304, 1852, 31556, 41458, 289, 3257, 23113, 8616, 934, 2917, 19574, 13394, 41804, 2232, 588, 9475, 890, 18, 7699, 43775, 935, 24782, 8620, 8475, 49353, 411, 7586, 16, 1576, 7892, 16, 374, 749, 1047, 10434, 840, 1882, 282, 22979, 17, 21131, 16, 2686, 48827, 3631, 3021, 282, 8267, 1279, 478, 29392, 932, 354, 470, 14013, 509, 7846, 16, 2006, 9770, 478, 440, 1608, 34581, 483, 470, 453, 349, 1047, 6352, 3108, 18, 478, 21664, 18113, 948, 470, 6844, 2948, 4426, 2222, 16, 374, 47143, 3404, 19387, 7539, 774, 27953, 22447, 309, 378, 7286, 17, 10150, 343, 12653, 1219, 264, 30, 4686, 15277, 807, 13190, 2829, 290, 12908, 349, 34414, 21755, 16, 367, 2512, 15613, 555, 2820, 424, 5155, 3724, 6683, 659, 3326, 22244, 1159, 16, 1029, 7316, 722, 282, 8999, 18, 14072, 1250, 349, 15654, 282, 7398, 19677, 1479, 1165, 16, 367, 28929, 334, 272, 7298, 326, 281, 1479, 24225, 30, 10376, 2900, 4999, 3022, 758, 953, 322, 1698, 16, 289, 322, 11211, 9250, 8462, 29705, 3854, 639, 1139, 4385, 18, 4541, 10167, 301, 24088, 2612, 32644, 364, 16432, 478, 21664, 395, 1219, 507, 910, 367, 424, 6398, 4183, 10485, 14013, 509, 3404, 505, 2701, 1334, 536, 473, 23, 30, 20, 934, 2401, 35526, 282, 11063, 3716, 411, 28065, 16883, 282, 13090, 7046, 18, 33005, 807, 9438, 555, 2820, 282, 13757, 3675, 478, 5486, 530, 454, 861, 2112, 13231, 1081, 16733, 774, 1134, 2948, 1559, 1061, 30, 24, 473, 1369, 17, 6093, 282, 4356, 478, 21664, 395, 1219, 507, 910, 2686, 478, 1023, 5660, 470, 726, 537, 5162, 4110, 19802, 282, 1421, 15277, 919, 934, 289, 1381, 639, 12533, 374, 17, 299, 46325, 16, 753, 8945, 45035, 282, 5462, 582, 5790, 18, 459, 282, 2456, 3998, 11202, 10485, 29705, 2440, 5962, 3455, 282, 16, 2628, 16, 9258, 2545, 774, 3643, 31277, 478, 983, 623, 4468, 3922, 267, 910, 47579, 16960, 9871, 309, 37970, 2725, 20720, 1624, 1029, 16, 282, 1423, 3678, 16, 14212, 46234, 282, 15687, 17, 277, 1918, 309, 478, 293, 35100, 7125, 910, 988, 12653, 1219, 264, 282, 8384, 282, 317, 1501, 15702, 282, 8999, 651, 1286, 30, 24, 18, 478, 29392, 932, 266, 470, 31392, 1309, 764, 3348, 774, 304, 473, 26, 30, 25, 13, 309, 15882, 17, 295, 20537, 16, 515, 639, 726, 6774, 374, 17, 299, 9358, 2666, 18, 41510, 32853, 764, 7316, 46234, 282, 16246, 24221, 473, 27, 30, 25, 934, 289, 309, 803, 2117, 906, 48257, 18, 29705, 2440, 685, 14449, 4056, 33531, 5790, 18, 2877, 309, 14540, 18952, 5539, 4016, 473, 26, 15, 2932, 13, 12994, 16, 367, 505, 7193, 281, 2555, 3411, 6425, 9225, 13150, 4367, 1756, 309, 15939, 651, 1833, 349, 478, 34275, 2976, 16678, 470, 415, 546, 1645, 324, 18, 3739, 3348, 34895, 6832, 31342, 282, 9220, 2529, 10040, 298, 29730, 1559, 2615, 774, 18083, 24051, 1709, 401, 349, 478, 789, 48577, 25109, 16949, 2151, 399, 267, 861, 30858, 742, 12715, 28910, 451, 9518, 282, 29730, 289, 1055, 14900, 1472, 13647, 2292, 883, 11389, 281, 22244, 680, 15825, 16, 2686, 16, 827, 475, 10222, 282, 970, 575, 16712, 16, 492, 2397, 475, 16171, 10570, 506, 424, 4184, 18, 967, 20545, 430, 30, 21, 24051, 23150, 282, 317, 1501, 46234, 282, 8999, 1678, 20298, 4744, 1212, 411, 27546, 16883, 282, 13090, 7046, 510, 282, 10198, 415, 546, 1645, 324, 18, 1268, 347, 1779, 975, 774, 27953, 22447, 411, 17, 431, 7889, 10476, 11833, 271, 2101, 1458, 26890, 38727, 15702, 289, 37535, 505, 309, 22596, 454, 44873, 16, 753, 47143, 757, 16092, 505, 309, 6642, 18, 2112, 7977, 25236, 2815, 16, 374, 360, 10037, 505, 1139, 478, 598, 2736, 576, 15816, 910, 289, 492, 4573, 2657, 341, 5943, 668, 46234, 3977, 16, 294, 17683, 16, 988, 329, 1047, 34643, 475, 19650, 18, 385, 9752, 978, 37253, 24051, 23150, 3227, 3519, 5004, 309, 13051, 416, 284, 2843, 411, 3437, 16287, 281, 1619, 16680, 20323, 9410, 18, 478, 1358, 6317, 16, 374, 492, 17363, 16, 515, 1143, 1223, 784, 282, 1169, 5550, 16, 374, 492, 1623, 18904, 536, 1039, 562, 291, 15224, 16, 510, 7332, 12117, 4788, 29730, 1694, 17799, 478, 789, 48577, 470, 4809, 343, 30219, 296, 273, 1214, 18, 510, 817, 9298, 34559, 2389, 289, 4040, 939, 14158, 28067, 24163, 624, 18, 4320, 656, 505, 282, 1335, 4096, 322, 17239, 3637, 16, 515, 38111, 16, 374, 492, 309, 481, 8908, 18, 439, 764, 492, 9298, 4744, 1212, 18, 817, 1055, 978, 322, 7846, 16, 515, 492, 13044, 13304, 281, 15277, 3376, 289, 322, 15546, 481, 2240, 18, 24051, 23150, 895, 4933, 289, 7644, 1086, 16, 289, 6281, 18, 4635, 2184, 10147, 5349, 492, 35808, 2496, 7842, 861, 9051, 45796, 18952, 5539, 478, 789, 48577, 470, 30682, 8955, 1195, 478, 983, 4476, 356, 12582, 375, 288, 470, 477, 12932, 1032, 30, 22, 289, 1441, 9225, 18326, 1756, 282, 17654, 9964, 281, 12060, 3411, 6425, 282, 1069, 12925, 18, 22405, 281, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 309, 7759, 20280, 35297, 18389, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 3187, 4267, 9804, 18817, 3806, 11972, 2221, 42878, 847, 519, 16838, 13420, 5576, 18, 34934, 1775, 1948, 7558, 16, 14218, 4851, 25094, 30880, 289, 20213, 46227, 16, 16379, 33621, 282, 9937, 18, 9418, 281, 4650, 536, 21706, 282, 7522, 10232, 23344, 19228, 8889, 18, 2046, 4275, 412, 3847, 24549, 10033, 30, 294, 9747, 5576, 1948, 7558, 3424, 16379, 3906, 2102, 18, 31224, 30, 677, 4101, 36440, 1133, 289, 5487, 4701, 36743, 416, 22564, 14571, 2882, 395, 322, 9553, 25953, 282, 3304, 7840, 16, 2280, 3299, 3304, 1798, 3245, 670, 1830, 373, 48126, 1291, 349, 22293, 4857, 3304, 21376, 1082, 18, 365, 3998, 13420, 5576, 30880, 322, 36121, 847, 18, 9570, 12504, 1577, 281, 46227, 309, 1032, 9891, 507, 4803, 14471, 31249, 733, 32827, 2640, 18168, 16, 13737, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 861, 2667, 3915, 4120, 4004, 24628, 3716, 322, 25190, 18, 365, 10882, 16, 4813, 309, 36894, 263, 33603, 16, 322, 6110, 16419, 309, 14734, 382, 18 ]
[ 40196, 44311, 11315, 322, 6245, 17471, 430, 443, 26, 308, 19, 267, 18, 47105, 549, 12412, 1958, 847, 282, 11683, 376, 28, 655, 376, 26, 5448, 39, 18, 640, 2923, 1767, 19988, 360, 376, 29, 519, 376, 24, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 20688, 510, 1409, 13539, 6322, 941, 266, 18, 422, 18, 365, 11877, 33603, 1195, 26150, 4040, 1143, 18, 2660, 5364, 16, 2628, 16, 708, 1067, 341, 8889, 18, 385, 5720, 879, 7395, 2234, 6978, 3085, 9496, 18, 2320, 7872, 14481, 430, 443, 26, 308, 19, 267, 18, 365, 34828, 808, 9909, 12412, 31211, 847, 519, 376, 29, 655, 376, 27, 5448, 39, 16, 334, 1767, 519, 376, 3572, 655, 376, 26, 5448, 39, 18, 25740, 1556, 818, 382, 24102, 27282, 43957, 376, 26, 5448, 39, 16, 282, 30383, 376, 29, 655, 376, 24, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 334, 17, 6093, 840, 3230, 14471, 510, 1409, 15620, 443, 9965, 22, 6322, 941, 266, 18, 422, 18, 8985, 3806, 11972, 2221, 16, 18059, 1510, 411, 32141, 3486, 7776, 16, 11534, 322, 39666, 22961, 18, 29604, 5929, 3424, 8192, 749, 30880, 18, 23544, 15819, 2582, 2159, 10895, 309, 5211, 539, 18, 27247, 282, 3507, 29865, 376, 2479, 655, 376, 28, 5448, 39, 16, 334, 1767, 376, 2783, 655, 376, 27, 5448, 39, 18, 365, 8785, 539, 808, 840, 360, 376, 28, 519, 376, 26, 5448, 39, 16, 334, 1767, 360, 376, 29, 519, 376, 24, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 2500, 31211, 847, 289, 14481, 10952, 27, 6322, 941, 266, 18, 422, 18, 22000, 3972, 322, 42139, 9480, 28593, 3304, 4422, 18503, 323, 18, 16924, 16786, 3806, 11972, 2221, 322, 5505, 13617, 14734, 382, 282, 3187, 2234, 5549, 18, 365, 10666, 16, 430, 3972, 16, 840, 1771, 319, 9839, 17, 14099, 451, 6978, 18, 2320, 7872, 14481, 491, 443, 23, 308, 19, 267, 18, 27247, 12412, 26968, 847, 519, 376, 4234, 655, 376, 28, 5448, 39, 16, 7760, 519, 376, 29, 655, 376, 24, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 16907, 539, 510, 1409, 8042, 443, 8564, 27, 6322, 941, 266, 18, 422, 18, 1591, 12241, 6978, 2020, 1344, 309, 4650, 18, 40196, 505, 4783, 1463, 519, 491, 443, 27, 308, 19, 267, 18, 36748, 8633, 309, 42394, 5066, 18, 365, 32157, 808, 9909, 4275, 412, 3847, 18604, 4364, 519, 376, 4234, 655, 376, 28, 5448, 39, 16, 7760, 519, 376, 29, 655, 376, 24, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 3230, 14471, 510, 1409, 8042, 443, 8564, 27, 6322, 941, 266, 18, 422, 18, 385, 16838, 5576, 6295, 14145, 31041, 18, 22138, 451, 3806, 11972, 2221, 21159, 309, 9265, 17, 15482, 16, 289, 1195, 26150, 32624, 7763, 541, 43156, 25146, 6229, 18, 7249, 309, 46635, 1033, 43834, 7097, 16, 282, 9937, 8889, 33897, 1472, 9272, 448, 18, 25740, 492, 8192, 282, 9839, 17, 14099, 432, 12937, 1767, 16, 367, 5475, 6925, 9496, 309, 2651, 9482, 41182, 18, 23544, 840, 1771, 319, 281, 9265, 17, 431, 6372, 281, 3826, 1734, 12494, 816, 443, 28, 308, 19, 267, 18, 27247, 3545, 29319, 1344, 519, 376, 3572, 655, 376, 26, 5448, 39, 18, 25740, 12412, 1958, 847, 282, 11683, 376, 27, 655, 376, 22, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 31211, 847, 519, 10952, 23, 6322, 941, 266, 18, 422, 18, 365, 11946, 5343, 12146, 567, 2891, 23337, 432, 44199, 18, 889, 16684, 3084, 1137, 17275, 289, 49170, 13535, 18, 15530, 17, 14099, 451, 6978, 4783, 1463, 519, 1061, 443, 2479, 308, 19, 267, 18, 365, 34905, 7258, 19988, 360, 376, 28, 519, 376, 23, 5448, 39, 16, 282, 8785, 448, 360, 376, 26, 519, 376, 21, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 4893, 31211, 847, 519, 1409, 9869, 6322, 941, 266, 18, 422, 18, 832, 272, 1746, 6016, 516, 22961, 289, 37649, 451, 8889, 18604, 4364, 4275, 412, 3847, 309, 10882, 16, 1061, 3972, 18, 15530, 17, 14099, 451, 6978, 10695, 1344, 519, 816, 443, 28, 308, 19, 267, 18, 365, 3178, 18101, 9909, 840, 376, 27, 655, 376, 22, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 8633, 4803, 14471, 510, 1409, 9869, 6322, 941, 266, 18, 422, 18, 608, 1746, 24261, 17395, 322, 4040, 289, 282, 16741, 18, 9661, 360, 1612, 840, 4619, 8889, 18, 4824, 411, 5921, 1015, 510, 12412, 14828, 282, 20241, 14077, 5855, 14471, 18, 365, 11877, 282, 34905, 7258, 19988, 376, 28, 655, 376, 23, 5448, 39, 16, 282, 8785, 448, 376, 26, 655, 376, 21, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 3424, 3215, 3511, 2844, 510, 1409, 8400, 443, 27, 6427, 6322, 941, 266, 18, 422, 18, 365, 11084, 282, 18168, 14828, 18817, 23337, 451, 12370, 18, 2320, 5849, 5247, 840, 14218, 506, 25454, 18, 23544, 2020, 1344, 309, 9839, 17, 14099, 18, 2320, 7872, 14481, 1032, 443, 29, 308, 19, 267, 18, 27247, 1556, 818, 382, 24102, 27282, 43957, 360, 376, 28, 519, 376, 23, 5448, 39, 18, 25740, 12412, 31211, 847, 519, 376, 29, 655, 376, 24, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 1958, 847, 309, 5066, 28981, 33200, 510, 1409, 8725, 6322, 941, 266, 18, 422, 18, 2, 1, 87, 1456, 81, 2448, 30, 42699, 32124, 478, 789, 4574, 464, 470, 6370, 6606, 1018, 2931, 3641, 1360, 10434, 10313, 1676, 8955, 1195, 478, 822, 286, 5835, 1225, 910, 349, 1029, 492, 15097, 3255, 18, 6606, 1018, 2931, 4223, 282, 19911, 304, 5271, 289, 17363, 2992, 11216, 18, 31224, 30, 677, 1760, 17, 277, 28220, 7561, 36473, 3819, 18238, 2599, 13971, 13865, 428, 541, 21112, 718, 16, 453, 289, 541, 7179, 18569, 18, 365, 8267, 478, 789, 4574, 464, 470, 510, 478, 822, 286, 5835, 1225, 470, 281, 5606, 1879, 309, 4577, 6181, 8851, 32124, 7342, 1175, 6370, 6606, 1018, 2931, 18, 41897, 37253, 282, 8999, 7342, 13613, 309, 27304, 17, 28428, 779, 14106, 808, 6900, 35970, 34840, 16, 411, 17, 431, 1754, 25521, 1269, 16287, 18, 365, 7015, 808, 1011, 30052, 427, 47143, 20727, 309, 25283, 567, 7422, 44056, 16, 515, 2296, 11817, 1612, 975, 639, 11771, 541, 733, 3831, 7889, 18, 4794, 292, 1593, 6606, 1018, 8053, 478, 789, 4574, 464, 470, 289, 322, 9929, 309, 7266, 3437, 16287, 16, 961, 8105, 2919, 48372, 18, 740, 10225, 50066, 6863, 282, 19911, 304, 5271, 16, 428, 46665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40196, 44311, 11315, 322, 6245, 17471, 430, 443, 26, 308, 19, 267, 18, 47105, 549, 12412, 1958, 847, 282, 11683, 376, 28, 655, 376, 26, 5448, 39, 18, 640, 2923, 1767, 19988, 360, 376, 29, 519, 376, 24, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 20688, 510, 1409, 13539, 6322, 941, 266, 18, 422, 18, 365, 11877, 33603, 1195, 26150, 4040, 1143, 18, 2660, 5364, 16, 2628, 16, 708, 1067, 341, 8889, 18, 385, 5720, 879, 7395, 2234, 6978, 3085, 9496, 18, 2320, 7872, 14481, 430, 443, 26, 308, 19, 267, 18, 365, 34828, 808, 9909, 12412, 31211, 847, 519, 376, 29, 655, 376, 27, 5448, 39, 16, 334, 1767, 519, 376, 3572, 655, 376, 26, 5448, 39, 18, 25740, 1556, 818, 382, 24102, 27282, 43957, 376, 26, 5448, 39, 16, 282, 30383, 376, 29, 655, 376, 24, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 334, 17, 6093, 840, 3230, 14471, 510, 1409, 15620, 443, 9965, 22, 6322, 941, 266, 18, 422, 18, 8985, 3806, 11972, 2221, 16, 18059, 1510, 411, 32141, 3486, 7776, 16, 11534, 322, 39666, 22961, 18, 29604, 5929, 3424, 8192, 749, 30880, 18, 23544, 15819, 2582, 2159, 10895, 309, 5211, 539, 18, 27247, 282, 3507, 29865, 376, 2479, 655, 376, 28, 5448, 39, 16, 334, 1767, 376, 2783, 655, 376, 27, 5448, 39, 18, 365, 8785, 539, 808, 840, 360, 376, 28, 519, 376, 26, 5448, 39, 16, 334, 1767, 360, 376, 29, 519, 376, 24, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 2500, 31211, 847, 289, 14481, 10952, 27, 6322, 941, 266, 18, 422, 18, 22000, 3972, 322, 42139, 9480, 28593, 3304, 4422, 18503, 323, 18, 16924, 16786, 3806, 11972, 2221, 322, 5505, 13617, 14734, 382, 282, 3187, 2234, 5549, 18, 365, 10666, 16, 430, 3972, 16, 840, 1771, 319, 9839, 17, 14099, 451, 6978, 18, 2320, 7872, 14481, 491, 443, 23, 308, 19, 267, 18, 27247, 12412, 26968, 847, 519, 376, 4234, 655, 376, 28, 5448, 39, 16, 7760, 519, 376, 29, 655, 376, 24, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 16907, 539, 510, 1409, 8042, 443, 8564, 27, 6322, 941, 266, 18, 422, 18, 1591, 12241, 6978, 2020, 1344, 309, 4650, 18, 40196, 505, 4783, 1463, 519, 491, 443, 27, 308, 19, 267, 18, 36748, 8633, 309, 42394, 5066, 18, 365, 32157, 808, 9909, 4275, 412, 3847, 18604, 4364, 519, 376, 4234, 655, 376, 28, 5448, 39, 16, 7760, 519, 376, 29, 655, 376, 24, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 3230, 14471, 510, 1409, 8042, 443, 8564, 27, 6322, 941, 266, 18, 422, 18, 385, 16838, 5576, 6295, 14145, 31041, 18, 22138, 451, 3806, 11972, 2221, 21159, 309, 9265, 17, 15482, 16, 289, 1195, 26150, 32624, 7763, 541, 43156, 25146, 6229, 18, 7249, 309, 46635, 1033, 43834, 7097, 16, 282, 9937, 8889, 33897, 1472, 9272, 448, 18, 25740, 492, 8192, 282, 9839, 17, 14099, 432, 12937, 1767, 16, 367, 5475, 6925, 9496, 309, 2651, 9482, 41182, 18, 23544, 840, 1771, 319, 281, 9265, 17, 431, 6372, 281, 3826, 1734, 12494, 816, 443, 28, 308, 19, 267, 18, 27247, 3545, 29319, 1344, 519, 376, 3572, 655, 376, 26, 5448, 39, 18, 25740, 12412, 1958, 847, 282, 11683, 376, 27, 655, 376, 22, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 31211, 847, 519, 10952, 23, 6322, 941, 266, 18, 422, 18, 365, 11946, 5343, 12146, 567, 2891, 23337, 432, 44199, 18, 889, 16684, 3084, 1137, 17275, 289, 49170, 13535, 18, 15530, 17, 14099, 451, 6978, 4783, 1463, 519, 1061, 443, 2479, 308, 19, 267, 18, 365, 34905, 7258, 19988, 360, 376, 28, 519, 376, 23, 5448, 39, 16, 282, 8785, 448, 360, 376, 26, 519, 376, 21, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 4893, 31211, 847, 519, 1409, 9869, 6322, 941, 266, 18, 422, 18, 832, 272, 1746, 6016, 516, 22961, 289, 37649, 451, 8889, 18604, 4364, 4275, 412, 3847, 309, 10882, 16, 1061, 3972, 18, 15530, 17, 14099, 451, 6978, 10695, 1344, 519, 816, 443, 28, 308, 19, 267, 18, 365, 3178, 18101, 9909, 840, 376, 27, 655, 376, 22, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 8633, 4803, 14471, 510, 1409, 9869, 6322, 941, 266, 18, 422, 18, 608, 1746, 24261, 17395, 322, 4040, 289, 282, 16741, 18, 9661, 360, 1612, 840, 4619, 8889, 18, 4824, 411, 5921, 1015, 510, 12412, 14828, 282, 20241, 14077, 5855, 14471, 18, 365, 11877, 282, 34905, 7258, 19988, 376, 28, 655, 376, 23, 5448, 39, 16, 282, 8785, 448, 376, 26, 655, 376, 21, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 3424, 3215, 3511, 2844, 510, 1409, 8400, 443, 27, 6427, 6322, 941, 266, 18, 422, 18, 365, 11084, 282, 18168, 14828, 18817, 23337, 451, 12370, 18, 2320, 5849, 5247, 840, 14218, 506, 25454, 18, 23544, 2020, 1344, 309, 9839, 17, 14099, 18, 2320, 7872, 14481, 1032, 443, 29, 308, 19, 267, 18, 27247, 1556, 818, 382, 24102, 27282, 43957, 360, 376, 28, 519, 376, 23, 5448, 39, 18, 25740, 12412, 31211, 847, 519, 376, 29, 655, 376, 24, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 1958, 847, 309, 5066, 28981, 33200, 510, 1409, 8725, 6322, 941, 266, 18, 422, 18, 2, 1, 87, 1456, 81, 2448, 30, 42699, 32124, 478, 789, 4574, 464, 470, 6370, 6606, 1018, 2931, 3641, 1360, 10434, 10313, 1676, 8955, 1195, 478, 822, 286, 5835, 1225, 910, 349, 1029, 492, 15097, 3255, 18, 6606, 1018, 2931, 4223, 282, 19911, 304, 5271, 289, 17363, 2992, 11216, 18, 31224, 30, 677, 1760, 17, 277, 28220, 7561, 36473, 3819, 18238, 2599, 13971, 13865, 428, 541, 21112, 718, 16, 453, 289, 541, 7179, 18569, 18, 365, 8267, 478, 789, 4574, 464, 470, 510, 478, 822, 286, 5835, 1225, 470, 281, 5606, 1879, 309, 4577, 6181, 8851, 32124, 7342, 1175, 6370, 6606, 1018, 2931, 18, 41897, 37253, 282, 8999, 7342, 13613, 309, 27304, 17, 28428, 779, 14106, 808, 6900, 35970, 34840, 16, 411, 17, 431, 1754, 25521, 1269, 16287, 18, 365, 7015, 808, 1011, 30052, 427, 47143, 20727, 309, 25283, 567, 7422, 44056, 16, 515, 2296, 11817, 1612, 975, 639, 11771, 541, 733, 3831, 7889, 18, 4794, 292, 1593, 6606, 1018, 8053, 478, 789, 4574, 464, 470, 289, 322, 9929, 309, 7266, 3437, 16287, 16, 961, 8105, 2919, 48372, 18, 740, 10225, 50066, 6863, 282, 19911, 304, 5271, 16, 428, 46665 ]
[ 310, 289, 2615, 3059, 266, 489, 429, 7376, 774, 18, 8859, 17363, 6606, 1018, 2931, 4453, 40131, 49491, 478, 822, 286, 5835, 264, 877, 910, 282, 5271, 2024, 492, 1874, 1412, 2022, 3695, 11216, 282, 2555, 16702, 18, 3863, 42772, 3216, 6844, 6606, 1018, 23003, 6213, 282, 478, 618, 274, 3646, 910, 349, 1029, 47143, 11347, 322, 453, 2669, 16, 515, 10384, 306, 774, 1134, 2581, 1920, 5354, 18, 7537, 939, 7322, 16, 374, 309, 6606, 1018, 8053, 322, 32933, 4612, 1655, 12101, 6548, 9680, 7342, 1175, 16353, 38659, 18, 9758, 2849, 16, 785, 1759, 14875, 14719, 7583, 7342, 1763, 12321, 282, 8023, 3440, 15803, 18, 403, 2222, 575, 16, 1500, 322, 445, 9884, 806, 5077, 9405, 5977, 6273, 282, 34154, 8616, 18, 5454, 16, 1717, 978, 8261, 289, 322, 11576, 1175, 282, 5943, 547, 8267, 281, 3368, 1082, 309, 27304, 17, 11622, 18, 385, 9833, 22942, 41017, 6606, 1018, 23003, 14833, 16859, 510, 475, 575, 281, 29157, 1214, 496, 745, 5440, 334, 37889, 289, 26216, 36346, 18, 5227, 764, 289, 29557, 37101, 16, 726, 282, 33762, 28220, 7561, 18, 3647, 322, 639, 1612, 38952, 14500, 965, 510, 1223, 1472, 1176, 11216, 5354, 41701, 6606, 1018, 2931, 18, 439, 1696, 30667, 38331, 11854, 1833, 24763, 364, 2354, 294, 6244, 6879, 282, 8616, 3741, 1512, 16, 282, 502, 808, 428, 281, 23431, 2411, 362, 1154, 353, 28443, 32668, 18, 740, 1055, 20925, 47503, 17, 11488, 315, 41070, 749, 1307, 28772, 1543, 616, 434, 4528, 18, 439, 492, 867, 5547, 5828, 3108, 360, 17336, 289, 20539, 6369, 22803, 874, 18, 365, 478, 789, 4574, 464, 470, 1314, 2031, 811, 16960, 5514, 4990, 20200, 742, 30, 1771, 5353, 13403, 1587, 6606, 1018, 8053, 289, 42396, 324, 3881, 488, 413, 16, 1029, 49786, 586, 1960, 339, 727, 4309, 18, 18162, 2196, 454, 282, 12013, 36473, 16170, 764, 519, 924, 16, 428, 6606, 1018, 2931, 387, 18047, 411, 14621, 18, 2877, 575, 16, 785, 4960, 4522, 811, 16, 7601, 455, 289, 3208, 3412, 20117, 18, 17791, 16, 2948, 6844, 1717, 3881, 488, 283, 16, 1011, 38674, 281, 12070, 727, 665, 289, 6606, 1018, 8053, 18, 439, 47143, 17363, 15328, 774, 16, 1011, 41932, 10376, 281, 28065, 16208, 486, 18, 4802, 11402, 2678, 2401, 5873, 6606, 1018, 23003, 895, 26850, 506, 1658, 3972, 16, 785, 478, 789, 4574, 464, 470, 36476, 282, 4446, 294, 36446, 677, 18, 4950, 14513, 16, 374, 282, 803, 8267, 6606, 1018, 2931, 840, 6281, 281, 23627, 17051, 979, 510, 1696, 3216, 411, 32563, 280, 2576, 798, 6450, 2712, 1500, 3560, 38659, 16, 1029, 282, 8111, 322, 25417, 4308, 718, 7541, 15803, 18, 22054, 329, 7179, 1307, 28772, 726, 912, 3952, 22803, 874, 36446, 677, 510, 2734, 1143, 779, 2158, 492, 481, 726, 8164, 16, 30543, 349, 478, 618, 274, 3646, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 14922, 18569, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 29523, 17, 277, 1045, 1354, 16342, 44165, 5835, 413, 552, 14444, 510, 40805, 616, 451, 35163, 16, 5184, 12475, 294, 478, 677, 4143, 470, 289, 478, 3096, 627, 4932, 10194, 2384, 1616, 910, 40565, 478, 1659, 265, 293, 22160, 315, 470, 289, 8893, 609, 1949, 21646, 933, 26757, 18, 31224, 30, 563, 1296, 807, 2776, 798, 5835, 413, 552, 521, 324, 1314, 3073, 529, 32562, 1734, 726, 1548, 16, 374, 6283, 4130, 975, 2270, 811, 5184, 478, 28345, 470, 439, 2381, 5835, 413, 552, 14444, 1624, 367, 11605, 651, 30918, 13579, 1231, 680, 11441, 5855, 16248, 22349, 286, 5835, 413, 552, 14444, 18, 3557, 322, 2619, 475, 5736, 479, 20272, 4345, 18, 365, 12100, 44165, 22349, 8576, 1447, 16, 5545, 1545, 13388, 758, 289, 9035, 758, 13118, 9551, 16, 32348, 310, 1188, 13388, 416, 11778, 323, 4618, 16, 374, 26052, 843, 2538, 1642, 374, 17, 299, 4011, 834, 464, 513, 16, 282, 2114, 26026, 39059, 6728, 49005, 18, 824, 505, 15817, 3163, 16, 1143, 1223, 282, 15992, 505, 1494, 38475, 937, 35312, 16, 289, 16, 785, 9721, 808, 13943, 41421, 16, 492, 16, 2598, 6016, 7279, 4314, 8587, 334, 34409, 41634, 15573, 16, 9031, 282, 18152, 371, 47881, 16, 367, 971, 309, 11123, 345, 405, 17, 635, 6809, 755, 778, 18736, 18, 2320, 3892, 1070, 720, 45805, 281, 12793, 2793, 16, 289, 11125, 639, 9072, 20620, 29904, 282, 1236, 7223, 296, 426, 8735, 289, 7564, 1465, 8231, 18, 3759, 8612, 751, 289, 5487, 38333, 35163, 1133, 42330, 30, 5835, 413, 552, 521, 392, 282, 23673, 8626, 1775, 10286, 6898, 6908, 15250, 7719, 1082, 289, 9564, 979, 1718, 10561, 13368, 18, 36424, 1177, 3952, 16, 44165, 22349, 8576, 1447, 334, 17147, 2793, 5264, 294, 47283, 16, 505, 11620, 2409, 1559, 6370, 1034, 4476, 3930, 1447, 18, 10118, 16, 374, 492, 10954, 411, 978, 11019, 16, 651, 19900, 294, 20054, 277, 289, 27825, 552, 35163, 718, 14141, 16, 1795, 48213, 975, 282, 10130, 3624, 282, 3322, 4095, 28943, 17347, 18, 24031, 349, 15265, 5543, 6390, 9773, 353, 473, 5044, 354, 541, 11582, 382, 289, 41634, 15573, 2756, 26841, 282, 17979, 40072, 14987, 899, 890, 289, 7356, 4698, 21901, 309, 907, 15602, 547, 32844, 13963, 289, 10140, 282, 46099, 13, 5835, 413, 552, 14444, 8494, 294, 21201, 43012, 281, 10623, 4046, 344, 18, 5890, 282, 3998, 3610, 17, 292, 492, 13504, 12667, 541, 4335, 11441, 5473, 5930, 368, 6166, 25821, 834, 356, 613, 470, 282, 23655, 298, 773, 18, 33080, 2042, 32144, 16, 478, 677, 23270, 7157, 1133, 11361, 42847, 470, 282, 23655, 298, 773, 18, 21021, 15748, 25408, 6463, 282, 19839, 17, 277, 653, 15946, 552, 478, 6889, 5596, 4228, 861, 3529, 575, 492, 2780, 3624, 289, 282, 4889, 651, 30399, 26253, 6046, 979, 478, 677, 711, 368, 397, 451, 1205, 470, 289, 478, 23134, 278, 23072, 12090, 910, 726, 49864, 478, 677, 509, 470, 289, 478, 5786, 15796, 470, 898, 373, 28620, 749, 505, 12475, 18, 1591, 20840, 19002, 5835, 413, 552, 14444, 1494, 30290, 8252, 6321, 16, 290, 1754, 13386, 8562, 1250, 16, 16964, 464, 1733, 294, 2964, 39013, 4118, 6575, 395, 16, 4247, 39391, 17309, 18, 4635, 4426, 1335, 22621, 2776, 15194, 22349, 8576, 22187, 3225, 28676, 282, 3322, 4095, 17347, 651, 10398, 4889, 16, 10137, 289, 19872, 43987, 904, 492, 6463, 12667, 541, 43987, 12110, 26914, 3536, 478, 3096, 627, 4932, 1545, 10133, 470, 289, 478, 5798, 9569, 23119, 14664, 382, 18130, 505, 36334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 310, 289, 2615, 3059, 266, 489, 429, 7376, 774, 18, 8859, 17363, 6606, 1018, 2931, 4453, 40131, 49491, 478, 822, 286, 5835, 264, 877, 910, 282, 5271, 2024, 492, 1874, 1412, 2022, 3695, 11216, 282, 2555, 16702, 18, 3863, 42772, 3216, 6844, 6606, 1018, 23003, 6213, 282, 478, 618, 274, 3646, 910, 349, 1029, 47143, 11347, 322, 453, 2669, 16, 515, 10384, 306, 774, 1134, 2581, 1920, 5354, 18, 7537, 939, 7322, 16, 374, 309, 6606, 1018, 8053, 322, 32933, 4612, 1655, 12101, 6548, 9680, 7342, 1175, 16353, 38659, 18, 9758, 2849, 16, 785, 1759, 14875, 14719, 7583, 7342, 1763, 12321, 282, 8023, 3440, 15803, 18, 403, 2222, 575, 16, 1500, 322, 445, 9884, 806, 5077, 9405, 5977, 6273, 282, 34154, 8616, 18, 5454, 16, 1717, 978, 8261, 289, 322, 11576, 1175, 282, 5943, 547, 8267, 281, 3368, 1082, 309, 27304, 17, 11622, 18, 385, 9833, 22942, 41017, 6606, 1018, 23003, 14833, 16859, 510, 475, 575, 281, 29157, 1214, 496, 745, 5440, 334, 37889, 289, 26216, 36346, 18, 5227, 764, 289, 29557, 37101, 16, 726, 282, 33762, 28220, 7561, 18, 3647, 322, 639, 1612, 38952, 14500, 965, 510, 1223, 1472, 1176, 11216, 5354, 41701, 6606, 1018, 2931, 18, 439, 1696, 30667, 38331, 11854, 1833, 24763, 364, 2354, 294, 6244, 6879, 282, 8616, 3741, 1512, 16, 282, 502, 808, 428, 281, 23431, 2411, 362, 1154, 353, 28443, 32668, 18, 740, 1055, 20925, 47503, 17, 11488, 315, 41070, 749, 1307, 28772, 1543, 616, 434, 4528, 18, 439, 492, 867, 5547, 5828, 3108, 360, 17336, 289, 20539, 6369, 22803, 874, 18, 365, 478, 789, 4574, 464, 470, 1314, 2031, 811, 16960, 5514, 4990, 20200, 742, 30, 1771, 5353, 13403, 1587, 6606, 1018, 8053, 289, 42396, 324, 3881, 488, 413, 16, 1029, 49786, 586, 1960, 339, 727, 4309, 18, 18162, 2196, 454, 282, 12013, 36473, 16170, 764, 519, 924, 16, 428, 6606, 1018, 2931, 387, 18047, 411, 14621, 18, 2877, 575, 16, 785, 4960, 4522, 811, 16, 7601, 455, 289, 3208, 3412, 20117, 18, 17791, 16, 2948, 6844, 1717, 3881, 488, 283, 16, 1011, 38674, 281, 12070, 727, 665, 289, 6606, 1018, 8053, 18, 439, 47143, 17363, 15328, 774, 16, 1011, 41932, 10376, 281, 28065, 16208, 486, 18, 4802, 11402, 2678, 2401, 5873, 6606, 1018, 23003, 895, 26850, 506, 1658, 3972, 16, 785, 478, 789, 4574, 464, 470, 36476, 282, 4446, 294, 36446, 677, 18, 4950, 14513, 16, 374, 282, 803, 8267, 6606, 1018, 2931, 840, 6281, 281, 23627, 17051, 979, 510, 1696, 3216, 411, 32563, 280, 2576, 798, 6450, 2712, 1500, 3560, 38659, 16, 1029, 282, 8111, 322, 25417, 4308, 718, 7541, 15803, 18, 22054, 329, 7179, 1307, 28772, 726, 912, 3952, 22803, 874, 36446, 677, 510, 2734, 1143, 779, 2158, 492, 481, 726, 8164, 16, 30543, 349, 478, 618, 274, 3646, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 14922, 18569, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 29523, 17, 277, 1045, 1354, 16342, 44165, 5835, 413, 552, 14444, 510, 40805, 616, 451, 35163, 16, 5184, 12475, 294, 478, 677, 4143, 470, 289, 478, 3096, 627, 4932, 10194, 2384, 1616, 910, 40565, 478, 1659, 265, 293, 22160, 315, 470, 289, 8893, 609, 1949, 21646, 933, 26757, 18, 31224, 30, 563, 1296, 807, 2776, 798, 5835, 413, 552, 521, 324, 1314, 3073, 529, 32562, 1734, 726, 1548, 16, 374, 6283, 4130, 975, 2270, 811, 5184, 478, 28345, 470, 439, 2381, 5835, 413, 552, 14444, 1624, 367, 11605, 651, 30918, 13579, 1231, 680, 11441, 5855, 16248, 22349, 286, 5835, 413, 552, 14444, 18, 3557, 322, 2619, 475, 5736, 479, 20272, 4345, 18, 365, 12100, 44165, 22349, 8576, 1447, 16, 5545, 1545, 13388, 758, 289, 9035, 758, 13118, 9551, 16, 32348, 310, 1188, 13388, 416, 11778, 323, 4618, 16, 374, 26052, 843, 2538, 1642, 374, 17, 299, 4011, 834, 464, 513, 16, 282, 2114, 26026, 39059, 6728, 49005, 18, 824, 505, 15817, 3163, 16, 1143, 1223, 282, 15992, 505, 1494, 38475, 937, 35312, 16, 289, 16, 785, 9721, 808, 13943, 41421, 16, 492, 16, 2598, 6016, 7279, 4314, 8587, 334, 34409, 41634, 15573, 16, 9031, 282, 18152, 371, 47881, 16, 367, 971, 309, 11123, 345, 405, 17, 635, 6809, 755, 778, 18736, 18, 2320, 3892, 1070, 720, 45805, 281, 12793, 2793, 16, 289, 11125, 639, 9072, 20620, 29904, 282, 1236, 7223, 296, 426, 8735, 289, 7564, 1465, 8231, 18, 3759, 8612, 751, 289, 5487, 38333, 35163, 1133, 42330, 30, 5835, 413, 552, 521, 392, 282, 23673, 8626, 1775, 10286, 6898, 6908, 15250, 7719, 1082, 289, 9564, 979, 1718, 10561, 13368, 18, 36424, 1177, 3952, 16, 44165, 22349, 8576, 1447, 334, 17147, 2793, 5264, 294, 47283, 16, 505, 11620, 2409, 1559, 6370, 1034, 4476, 3930, 1447, 18, 10118, 16, 374, 492, 10954, 411, 978, 11019, 16, 651, 19900, 294, 20054, 277, 289, 27825, 552, 35163, 718, 14141, 16, 1795, 48213, 975, 282, 10130, 3624, 282, 3322, 4095, 28943, 17347, 18, 24031, 349, 15265, 5543, 6390, 9773, 353, 473, 5044, 354, 541, 11582, 382, 289, 41634, 15573, 2756, 26841, 282, 17979, 40072, 14987, 899, 890, 289, 7356, 4698, 21901, 309, 907, 15602, 547, 32844, 13963, 289, 10140, 282, 46099, 13, 5835, 413, 552, 14444, 8494, 294, 21201, 43012, 281, 10623, 4046, 344, 18, 5890, 282, 3998, 3610, 17, 292, 492, 13504, 12667, 541, 4335, 11441, 5473, 5930, 368, 6166, 25821, 834, 356, 613, 470, 282, 23655, 298, 773, 18, 33080, 2042, 32144, 16, 478, 677, 23270, 7157, 1133, 11361, 42847, 470, 282, 23655, 298, 773, 18, 21021, 15748, 25408, 6463, 282, 19839, 17, 277, 653, 15946, 552, 478, 6889, 5596, 4228, 861, 3529, 575, 492, 2780, 3624, 289, 282, 4889, 651, 30399, 26253, 6046, 979, 478, 677, 711, 368, 397, 451, 1205, 470, 289, 478, 23134, 278, 23072, 12090, 910, 726, 49864, 478, 677, 509, 470, 289, 478, 5786, 15796, 470, 898, 373, 28620, 749, 505, 12475, 18, 1591, 20840, 19002, 5835, 413, 552, 14444, 1494, 30290, 8252, 6321, 16, 290, 1754, 13386, 8562, 1250, 16, 16964, 464, 1733, 294, 2964, 39013, 4118, 6575, 395, 16, 4247, 39391, 17309, 18, 4635, 4426, 1335, 22621, 2776, 15194, 22349, 8576, 22187, 3225, 28676, 282, 3322, 4095, 17347, 651, 10398, 4889, 16, 10137, 289, 19872, 43987, 904, 492, 6463, 12667, 541, 43987, 12110, 26914, 3536, 478, 3096, 627, 4932, 1545, 10133, 470, 289, 478, 5798, 9569, 23119, 14664, 382, 18130, 505, 36334 ]
[ 478, 1659, 265, 293, 22160, 315, 910, 282, 2114, 282, 6409, 3538, 12605, 751, 34053, 22695, 289, 10938, 9475, 263, 46351, 16, 685, 38684, 282, 17410, 1045, 2450, 8108, 27730, 18, 17791, 7279, 4314, 5998, 5835, 413, 552, 14444, 3333, 3142, 4153, 4984, 281, 34461, 10878, 30, 281, 19817, 779, 492, 15344, 11947, 12456, 8506, 8562, 2632, 16, 21924, 282, 2402, 10202, 426, 2893, 9630, 478, 20651, 1162, 12102, 861, 439, 4426, 505, 3705, 282, 9981, 478, 2359, 10800, 510, 5347, 4811, 470, 20644, 848, 6329, 289, 20782, 414, 5684, 1617, 8893, 318, 651, 697, 17519, 1320, 1559, 44165, 22349, 8576, 1447, 5835, 413, 552, 14444, 18, 2, 1, 87, 1456, 81, 2448, 30, 31143, 26520, 23895, 1270, 1551, 4534, 2780, 13880, 11969, 1743, 9798, 9362, 12318, 3281, 14943, 608, 38633, 3583, 18, 38232, 17, 44029, 742, 2815, 16, 374, 1559, 22659, 46839, 29126, 16, 2828, 6063, 18747, 289, 18813, 5119, 3623, 478, 49867, 910, 367, 1038, 35921, 20840, 478, 49867, 470, 18083, 2777, 1429, 282, 970, 16, 374, 1500, 8190, 536, 6929, 767, 28179, 975, 16341, 281, 15631, 16, 322, 5698, 1063, 722, 15944, 346, 18, 31224, 30, 15308, 519, 12037, 7250, 26520, 23895, 2035, 25456, 5129, 4534, 329, 505, 6359, 14923, 2829, 17158, 3678, 411, 14824, 289, 7693, 291, 18, 4663, 11091, 435, 7015, 14668, 334, 18123, 14132, 1101, 9798, 6677, 37732, 14943, 608, 38633, 512, 367, 16, 1029, 4434, 4973, 282, 970, 16, 374, 8641, 24301, 317, 300, 8170, 454, 349, 3772, 478, 49867, 470, 294, 36265, 2107, 39724, 2241, 510, 478, 12003, 12103, 399, 319, 861, 2775, 2822, 9362, 8418, 332, 282, 1551, 30235, 5103, 478, 1098, 11437, 16130, 354, 470, 20286, 5119, 13144, 6541, 883, 18, 385, 12812, 1266, 300, 9798, 33811, 1223, 1176, 23019, 12958, 7484, 16, 1029, 4933, 40849, 289, 9326, 16979, 18, 608, 38633, 512, 16, 35079, 282, 18374, 17, 7779, 49818, 7686, 766, 516, 12544, 454, 289, 16373, 22357, 16, 4223, 411, 7994, 289, 4745, 9031, 282, 3049, 13516, 18, 5890, 8671, 282, 6900, 5129, 8851, 5037, 37732, 1109, 1293, 1280, 16338, 18, 14072, 9391, 11350, 17, 13522, 322, 14522, 281, 6175, 1728, 12851, 424, 27503, 11923, 13798, 4145, 779, 18, 478, 16385, 29393, 1642, 16, 417, 1269, 30597, 18, 2124, 4516, 315, 1314, 481, 1726, 38944, 478, 1140, 16103, 662, 861, 439, 2141, 417, 505, 281, 667, 986, 30597, 910, 510, 4848, 608, 38633, 512, 290, 970, 16, 428, 12715, 2159, 18258, 808, 18, 817, 1038, 322, 26728, 17686, 32883, 289, 4263, 8626, 3450, 7008, 454, 2568, 1147, 13976, 7234, 1175, 18, 478, 11648, 362, 468, 30888, 16, 515, 322, 19147, 17780, 18, 365, 5329, 6591, 7234, 309, 491, 9, 3147, 28648, 910, 510, 1109, 8851, 26363, 18, 18969, 300, 492, 289, 290, 970, 16, 428, 46039, 17488, 1728, 14132, 1101, 18, 478, 22392, 34240, 21583, 18, 21328, 16, 6815, 4797, 6441, 510, 1320, 6441, 18, 8269, 16, 282, 21840, 22792, 2694, 1743, 24859, 4356, 25130, 11696, 18, 10388, 6099, 360, 16616, 910, 510, 1109, 492, 18, 824, 3163, 608, 38633, 3583, 16, 492, 322, 40309, 281, 12984, 1175, 27402, 30012, 1011, 1728, 24164, 18, 478, 563, 20698, 16, 784, 2141, 17, 299, 2955, 309, 3586, 11558, 18, 996, 374, 16, 827, 387, 322, 5387, 16, 753, 703, 38769, 424, 32496, 16, 322, 4491, 4236, 1329, 703, 1143, 910, 510, 5692, 492, 18, 9967, 282, 3049, 11895, 16044, 24063, 17503, 401, 18, 1253, 14204, 332, 1008, 454, 6367, 13516, 289, 11642, 3702, 10970, 344, 16, 753, 1500, 349, 14760, 10180, 40356, 15045, 18, 6592, 2856, 3479, 552, 16, 4055, 3612, 4145, 779, 608, 38633, 512, 18946, 282, 7064, 2407, 7059, 290, 13486, 3610, 16, 28, 9, 11400, 43903, 439, 13628, 478, 12003, 12103, 399, 319, 470, 23786, 44128, 5096, 1671, 2211, 46462, 23281, 18, 967, 803, 1122, 10128, 16, 374, 12816, 8099, 12318, 3281, 685, 1279, 8465, 478, 49867, 470, 282, 36265, 11400, 478, 12003, 12103, 399, 345, 861, 478, 3001, 14900, 10984, 381, 3947, 763, 17247, 478, 28828, 319, 470, 411, 18536, 6367, 36265, 478, 12003, 12103, 399, 345, 861, 640, 583, 7972, 2044, 48542, 9827, 282, 13105, 492, 17602, 360, 11050, 12456, 478, 49867, 470, 18083, 2777, 1429, 8170, 454, 282, 4843, 22, 3763, 349, 43546, 722, 8465, 282, 50114, 478, 12003, 12103, 399, 345, 910, 510, 1109, 1087, 348, 420, 2116, 18, 4712, 10084, 14267, 1038, 9321, 290, 18979, 2797, 4475, 2887, 2777, 1429, 282, 12564, 282, 3106, 40178, 18, 2112, 978, 16220, 608, 38633, 3583, 9321, 290, 1482, 7292, 25384, 8256, 13124, 10180, 37348, 12851, 16, 2486, 639, 349, 7525, 315, 282, 12564, 16, 289, 12380, 924, 14267, 16, 2486, 4419, 639, 49837, 697, 29941, 18, 824, 4734, 38923, 16, 608, 38633, 512, 2002, 322, 15028, 18398, 4302, 6702, 381, 3947, 763, 478, 49867, 470, 411, 7619, 1110, 6271, 16, 961, 6795, 35412, 309, 478, 12003, 12103, 399, 319, 910, 367, 16, 6891, 16, 6463, 16, 374, 19067, 19961, 541, 48037, 1288, 427, 478, 49867, 470, 294, 36265, 1335, 2241, 1003, 18, 35157, 12698, 16, 374, 608, 38633, 512, 1472, 23870, 9025, 12356, 19540, 37703, 8465, 478, 49867, 470, 282, 803, 7433, 18, 478, 4348, 294, 13265, 5470, 552, 14267, 322, 35861, 18, 889, 41377, 25384, 5247, 16, 289, 656, 3408, 339, 9078, 1743, 282, 36909, 541, 32589, 978, 25384, 2981, 910, 510, 19877, 3064, 22807, 30556, 15320, 40128, 5000, 22044, 18, 31818, 10956, 282, 13275, 11343, 5052, 309, 1533, 1879, 16, 1011, 1660, 9321, 16, 374, 19961, 541, 31752, 1101, 282, 30653, 539, 28402, 1003, 18, 1012, 46522, 2159, 6843, 294, 35491, 289, 583, 608, 38633, 512, 18, 478, 1358, 1559, 22659, 46839, 29126, 16, 2828, 6063, 18747, 289, 18813, 5119, 3623, 478, 49867, 470, 12157, 368, 37977, 2509, 910, 510, 1109, 11350, 17, 44029, 742, 18, 48340, 274, 5367, 5692, 16, 374, 16, 3235, 33014, 2777, 1429, 16, 282, 2463, 1003, 10844, 15413, 770, 20481, 18, 824, 3163, 9798, 6677, 37732, 16, 9216, 478, 49867, 470, 583, 6455, 975, 18291, 282, 8185, 1360, 2241, 289, 8190, 536, 6929, 43243, 4693, 16341, 281, 15631, 16, 6177, 608, 38633, 512, 322, 2946, 16, 374, 1717, 282, 1420, 3164, 18, 2112, 978, 10970, 394, 12002, 16, 374, 16379, 35309, 15463, 309, 11671, 11073, 18, 31818, 17503, 401, 5930, 1154, 15092, 4126, 430, 3597, 282, 1533, 18, 646, 18, 478, 11008, 669, 6292, 16, 329, 703 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 478, 1659, 265, 293, 22160, 315, 910, 282, 2114, 282, 6409, 3538, 12605, 751, 34053, 22695, 289, 10938, 9475, 263, 46351, 16, 685, 38684, 282, 17410, 1045, 2450, 8108, 27730, 18, 17791, 7279, 4314, 5998, 5835, 413, 552, 14444, 3333, 3142, 4153, 4984, 281, 34461, 10878, 30, 281, 19817, 779, 492, 15344, 11947, 12456, 8506, 8562, 2632, 16, 21924, 282, 2402, 10202, 426, 2893, 9630, 478, 20651, 1162, 12102, 861, 439, 4426, 505, 3705, 282, 9981, 478, 2359, 10800, 510, 5347, 4811, 470, 20644, 848, 6329, 289, 20782, 414, 5684, 1617, 8893, 318, 651, 697, 17519, 1320, 1559, 44165, 22349, 8576, 1447, 5835, 413, 552, 14444, 18, 2, 1, 87, 1456, 81, 2448, 30, 31143, 26520, 23895, 1270, 1551, 4534, 2780, 13880, 11969, 1743, 9798, 9362, 12318, 3281, 14943, 608, 38633, 3583, 18, 38232, 17, 44029, 742, 2815, 16, 374, 1559, 22659, 46839, 29126, 16, 2828, 6063, 18747, 289, 18813, 5119, 3623, 478, 49867, 910, 367, 1038, 35921, 20840, 478, 49867, 470, 18083, 2777, 1429, 282, 970, 16, 374, 1500, 8190, 536, 6929, 767, 28179, 975, 16341, 281, 15631, 16, 322, 5698, 1063, 722, 15944, 346, 18, 31224, 30, 15308, 519, 12037, 7250, 26520, 23895, 2035, 25456, 5129, 4534, 329, 505, 6359, 14923, 2829, 17158, 3678, 411, 14824, 289, 7693, 291, 18, 4663, 11091, 435, 7015, 14668, 334, 18123, 14132, 1101, 9798, 6677, 37732, 14943, 608, 38633, 512, 367, 16, 1029, 4434, 4973, 282, 970, 16, 374, 8641, 24301, 317, 300, 8170, 454, 349, 3772, 478, 49867, 470, 294, 36265, 2107, 39724, 2241, 510, 478, 12003, 12103, 399, 319, 861, 2775, 2822, 9362, 8418, 332, 282, 1551, 30235, 5103, 478, 1098, 11437, 16130, 354, 470, 20286, 5119, 13144, 6541, 883, 18, 385, 12812, 1266, 300, 9798, 33811, 1223, 1176, 23019, 12958, 7484, 16, 1029, 4933, 40849, 289, 9326, 16979, 18, 608, 38633, 512, 16, 35079, 282, 18374, 17, 7779, 49818, 7686, 766, 516, 12544, 454, 289, 16373, 22357, 16, 4223, 411, 7994, 289, 4745, 9031, 282, 3049, 13516, 18, 5890, 8671, 282, 6900, 5129, 8851, 5037, 37732, 1109, 1293, 1280, 16338, 18, 14072, 9391, 11350, 17, 13522, 322, 14522, 281, 6175, 1728, 12851, 424, 27503, 11923, 13798, 4145, 779, 18, 478, 16385, 29393, 1642, 16, 417, 1269, 30597, 18, 2124, 4516, 315, 1314, 481, 1726, 38944, 478, 1140, 16103, 662, 861, 439, 2141, 417, 505, 281, 667, 986, 30597, 910, 510, 4848, 608, 38633, 512, 290, 970, 16, 428, 12715, 2159, 18258, 808, 18, 817, 1038, 322, 26728, 17686, 32883, 289, 4263, 8626, 3450, 7008, 454, 2568, 1147, 13976, 7234, 1175, 18, 478, 11648, 362, 468, 30888, 16, 515, 322, 19147, 17780, 18, 365, 5329, 6591, 7234, 309, 491, 9, 3147, 28648, 910, 510, 1109, 8851, 26363, 18, 18969, 300, 492, 289, 290, 970, 16, 428, 46039, 17488, 1728, 14132, 1101, 18, 478, 22392, 34240, 21583, 18, 21328, 16, 6815, 4797, 6441, 510, 1320, 6441, 18, 8269, 16, 282, 21840, 22792, 2694, 1743, 24859, 4356, 25130, 11696, 18, 10388, 6099, 360, 16616, 910, 510, 1109, 492, 18, 824, 3163, 608, 38633, 3583, 16, 492, 322, 40309, 281, 12984, 1175, 27402, 30012, 1011, 1728, 24164, 18, 478, 563, 20698, 16, 784, 2141, 17, 299, 2955, 309, 3586, 11558, 18, 996, 374, 16, 827, 387, 322, 5387, 16, 753, 703, 38769, 424, 32496, 16, 322, 4491, 4236, 1329, 703, 1143, 910, 510, 5692, 492, 18, 9967, 282, 3049, 11895, 16044, 24063, 17503, 401, 18, 1253, 14204, 332, 1008, 454, 6367, 13516, 289, 11642, 3702, 10970, 344, 16, 753, 1500, 349, 14760, 10180, 40356, 15045, 18, 6592, 2856, 3479, 552, 16, 4055, 3612, 4145, 779, 608, 38633, 512, 18946, 282, 7064, 2407, 7059, 290, 13486, 3610, 16, 28, 9, 11400, 43903, 439, 13628, 478, 12003, 12103, 399, 319, 470, 23786, 44128, 5096, 1671, 2211, 46462, 23281, 18, 967, 803, 1122, 10128, 16, 374, 12816, 8099, 12318, 3281, 685, 1279, 8465, 478, 49867, 470, 282, 36265, 11400, 478, 12003, 12103, 399, 345, 861, 478, 3001, 14900, 10984, 381, 3947, 763, 17247, 478, 28828, 319, 470, 411, 18536, 6367, 36265, 478, 12003, 12103, 399, 345, 861, 640, 583, 7972, 2044, 48542, 9827, 282, 13105, 492, 17602, 360, 11050, 12456, 478, 49867, 470, 18083, 2777, 1429, 8170, 454, 282, 4843, 22, 3763, 349, 43546, 722, 8465, 282, 50114, 478, 12003, 12103, 399, 345, 910, 510, 1109, 1087, 348, 420, 2116, 18, 4712, 10084, 14267, 1038, 9321, 290, 18979, 2797, 4475, 2887, 2777, 1429, 282, 12564, 282, 3106, 40178, 18, 2112, 978, 16220, 608, 38633, 3583, 9321, 290, 1482, 7292, 25384, 8256, 13124, 10180, 37348, 12851, 16, 2486, 639, 349, 7525, 315, 282, 12564, 16, 289, 12380, 924, 14267, 16, 2486, 4419, 639, 49837, 697, 29941, 18, 824, 4734, 38923, 16, 608, 38633, 512, 2002, 322, 15028, 18398, 4302, 6702, 381, 3947, 763, 478, 49867, 470, 411, 7619, 1110, 6271, 16, 961, 6795, 35412, 309, 478, 12003, 12103, 399, 319, 910, 367, 16, 6891, 16, 6463, 16, 374, 19067, 19961, 541, 48037, 1288, 427, 478, 49867, 470, 294, 36265, 1335, 2241, 1003, 18, 35157, 12698, 16, 374, 608, 38633, 512, 1472, 23870, 9025, 12356, 19540, 37703, 8465, 478, 49867, 470, 282, 803, 7433, 18, 478, 4348, 294, 13265, 5470, 552, 14267, 322, 35861, 18, 889, 41377, 25384, 5247, 16, 289, 656, 3408, 339, 9078, 1743, 282, 36909, 541, 32589, 978, 25384, 2981, 910, 510, 19877, 3064, 22807, 30556, 15320, 40128, 5000, 22044, 18, 31818, 10956, 282, 13275, 11343, 5052, 309, 1533, 1879, 16, 1011, 1660, 9321, 16, 374, 19961, 541, 31752, 1101, 282, 30653, 539, 28402, 1003, 18, 1012, 46522, 2159, 6843, 294, 35491, 289, 583, 608, 38633, 512, 18, 478, 1358, 1559, 22659, 46839, 29126, 16, 2828, 6063, 18747, 289, 18813, 5119, 3623, 478, 49867, 470, 12157, 368, 37977, 2509, 910, 510, 1109, 11350, 17, 44029, 742, 18, 48340, 274, 5367, 5692, 16, 374, 16, 3235, 33014, 2777, 1429, 16, 282, 2463, 1003, 10844, 15413, 770, 20481, 18, 824, 3163, 9798, 6677, 37732, 16, 9216, 478, 49867, 470, 583, 6455, 975, 18291, 282, 8185, 1360, 2241, 289, 8190, 536, 6929, 43243, 4693, 16341, 281, 15631, 16, 6177, 608, 38633, 512, 322, 2946, 16, 374, 1717, 282, 1420, 3164, 18, 2112, 978, 10970, 394, 12002, 16, 374, 16379, 35309, 15463, 309, 11671, 11073, 18, 31818, 17503, 401, 5930, 1154, 15092, 4126, 430, 3597, 282, 1533, 18, 646, 18, 478, 11008, 669, 6292, 16, 329, 703 ]
[ 4272, 282, 8587, 8272, 18, 4950, 1830, 373, 309, 2287, 18, 646, 910, 510, 8409, 11246, 282, 505, 5510, 5000, 22044, 16, 515, 17503, 401, 8824, 46494, 324, 18, 25652, 17, 15975, 478, 49867, 470, 6070, 20842, 29929, 2715, 309, 10744, 11350, 17, 2589, 6365, 14943, 608, 38633, 3583, 290, 970, 16, 374, 492, 1559, 22659, 46839, 18, 27695, 2241, 3828, 16, 374, 19683, 14678, 478, 49867, 470, 322, 47453, 18, 824, 3163, 20842, 319, 3583, 16, 282, 2463, 1943, 23594, 1551, 18, 478, 4670, 803, 5809, 5702, 28920, 30, 608, 38633, 512, 583, 22427, 49606, 47353, 349, 17163, 1634, 43673, 19335, 16, 583, 349, 1498, 9665, 289, 583, 14119, 281, 2223, 5790, 281, 15631, 18, 1397, 764, 942, 334, 2856, 5083, 9923, 5433, 510, 1109, 20842, 29929, 6080, 478, 13261, 861, 6729, 2837, 13742, 16, 2486, 16684, 608, 38633, 14457, 16, 510, 1760, 986, 17703, 8124, 18, 4320, 575, 492, 3164, 424, 40956, 44649, 329, 965, 1642, 282, 18904, 547, 3942, 304, 27989, 309, 3569, 680, 4625, 18, 2, 1, 87, 1456, 81, 2448, 30, 630, 1780, 4151, 16, 4176, 1757, 282, 8995, 13569, 2533, 16, 42490, 19428, 931, 5159, 451, 9187, 16, 47343, 548, 16, 23228, 16, 19141, 289, 2384, 298, 3724, 18, 9098, 2039, 3056, 773, 7153, 25658, 7064, 48715, 6456, 18, 365, 4674, 331, 4267, 5872, 781, 1038, 906, 40544, 281, 7848, 12290, 354, 16, 515, 16, 334, 3163, 2236, 411, 31276, 16, 481, 1139, 8511, 451, 5689, 18, 365, 502, 575, 808, 901, 12886, 2891, 12002, 16, 374, 1314, 28869, 1247, 381, 2657, 582, 5164, 309, 18632, 315, 17, 454, 10010, 12535, 10640, 18, 31224, 30, 677, 15392, 48715, 6456, 4936, 530, 4631, 4151, 16, 4176, 1757, 1949, 2533, 282, 8995, 16, 4378, 11283, 309, 18632, 315, 17, 454, 10010, 12535, 10640, 16, 8977, 6080, 478, 13261, 470, 3781, 17, 15975, 1524, 3008, 321, 27527, 5791, 11658, 2785, 280, 1384, 286, 1162, 18, 4756, 2904, 5792, 46646, 5825, 5439, 6456, 290, 970, 16, 374, 17757, 5119, 5142, 6976, 8008, 2294, 19428, 931, 5159, 536, 37921, 18, 36017, 10195, 18479, 16, 374, 282, 4674, 331, 4267, 5872, 781, 1038, 898, 47343, 548, 16, 23228, 16, 19141, 16, 2384, 298, 2356, 289, 40544, 281, 7848, 12290, 354, 18, 985, 16170, 282, 27246, 16, 31276, 17575, 4879, 29700, 1034, 1117, 3854, 289, 17575, 4879, 48775, 1034, 1117, 3854, 25732, 2555, 4120, 309, 25143, 1556, 478, 677, 12218, 16, 20098, 6511, 910, 1029, 8907, 455, 43204, 8967, 478, 4408, 8903, 510, 20978, 278, 470, 282, 4301, 901, 13230, 31479, 16652, 18, 640, 30879, 6052, 13737, 5901, 16936, 5842, 1949, 26495, 973, 2533, 18, 478, 44101, 574, 15310, 31432, 4631, 3317, 3000, 3595, 7792, 16, 367, 4674, 49868, 9187, 276, 16, 290, 1639, 14083, 475, 5792, 16, 898, 5657, 2626, 2726, 8943, 7461, 289, 24589, 22521, 18, 365, 5734, 2083, 28402, 18145, 1247, 381, 3320, 541, 5164, 18103, 35828, 17, 454, 10010, 9305, 7901, 910, 510, 25341, 2785, 280, 1384, 286, 1162, 18, 967, 481, 4813, 309, 39199, 5460, 2904, 5792, 294, 322, 1965, 19697, 4936, 1876, 541, 31276, 16, 2419, 6052, 4608, 9529, 6730, 3215, 4745, 18, 478, 4529, 9089, 16, 329, 2616, 374, 912, 16, 502, 289, 9095, 18, 18983, 25707, 2438, 349, 3338, 14886, 16, 515, 4836, 16, 374, 37222, 2300, 1906, 276, 910, 510, 1109, 16338, 2832, 84, 18, 1572, 1176, 411, 1129, 18, 478, 35569, 451, 16, 2091, 16, 9239, 16, 515, 7221, 286, 825, 21730, 282, 8463, 322, 17002, 18, 629, 17, 299, 4539, 16, 4378, 13440, 1299, 42490, 510, 12338, 4577, 2153, 16, 515, 481, 4167, 8511, 451, 5689, 910, 510, 4848, 30942, 289, 29325, 695, 4725, 16, 374, 840, 478, 5858, 345, 282, 8995, 44115, 4694, 7807, 2078, 861, 5043, 16, 1248, 6711, 808, 1011, 924, 16, 428, 290, 4936, 1165, 13737, 282, 5792, 16, 6605, 5825, 16, 374, 27680, 6839, 17115, 24157, 576, 4631, 4151, 334, 1533, 4500, 18, 2791, 18, 37451, 290, 9849, 452, 2533, 23527, 282, 11929, 668, 2301, 6660, 8231, 1175, 334, 20978, 2818, 32379, 2706, 4120, 18, 14766, 17859, 294, 10299, 307, 7768, 281, 29582, 290, 749, 1246, 547, 42509, 763, 2511, 17, 11884, 5794, 18, 824, 3163, 4109, 16, 678, 281, 13472, 289, 13847, 11890, 309, 20120, 8285, 2406, 281, 2008, 845, 3495, 818, 390, 418, 18, 385, 2872, 685, 764, 1176, 6511, 510, 5544, 7745, 8339, 18, 385, 4079, 43789, 12357, 25159, 289, 17640, 18, 7909, 7761, 10073, 5978, 2533, 7557, 16, 515, 697, 9868, 322, 14694, 537, 294, 4080, 12821, 18, 365, 6031, 309, 14823, 2533, 14416, 8811, 6233, 477, 12441, 315, 17, 45486, 328, 758, 48111, 16, 367, 1038, 12439, 289, 26032, 16677, 18, 4149, 25918, 1272, 42023, 411, 10632, 16204, 3588, 48715, 3700, 18, 985, 12374, 5747, 16, 29212, 6371, 15134, 289, 5658, 38167, 6736, 10704, 18, 4635, 1122, 697, 11232, 289, 2223, 16, 988, 745, 20179, 8064, 2919, 16, 10519, 30942, 16, 1029, 3641, 44786, 6149, 46838, 8933, 18, 824, 265, 2449, 3047, 2462, 2251, 2533, 14169, 360, 20268, 1614, 297, 18, 889, 639, 726, 282, 15301, 32105, 5963, 4016, 4120, 18, 403, 2222, 18254, 14823, 41235, 726, 3103, 3139, 16, 639, 34192, 1569, 2364, 1939, 8482, 18, 11040, 355, 24214, 4110, 282, 13335, 281, 590, 3345, 332, 900, 979, 18, 478, 780, 1076, 1510, 685, 749, 1333, 1965, 18, 25588, 742, 1721, 309, 4082, 18, 3575, 5042, 925, 42023, 309, 42142, 454, 294, 2942, 2986, 18, 608, 1047, 16, 3235, 8718, 4811, 289, 351, 553, 16, 1329, 322, 639, 18, 2112, 4272, 898, 29698, 25624, 910, 510, 10703, 1770, 1509, 18, 1572, 8306, 11287, 3320, 478, 4408, 8903, 26495, 973, 2533, 510, 20978, 278, 289, 20978, 778, 2743, 470, 10261, 7323, 19920, 18, 25588, 1157, 519, 4319, 1326, 11475, 6178, 4176, 1378, 2533, 282, 14154, 289, 25449, 530, 773, 13625, 2005, 18, 9098, 41306, 16239, 541, 8008, 2294, 510, 1055, 2180, 3595, 282, 3177, 21439, 18, 365, 7842, 6160, 4181, 2078, 7153, 5832, 1033, 33964, 19650, 289, 46229, 18, 996, 16, 1533, 4120, 9573, 6520, 16200, 1347, 29277, 12519, 415, 26383, 1175, 334, 336, 18, 23860, 291, 2818, 35166, 6233, 25682, 34848, 329, 289, 15802, 825, 18675, 10194, 6233, 415, 26383, 1175, 334, 336, 18, 23860, 291, 2818, 43628, 8925, 27120, 6233, 25682, 2124, 14457, 7153, 4030, 19650, 8231, 1175, 478, 3693, 42826, 567, 3499, 16936, 861, 4663 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4272, 282, 8587, 8272, 18, 4950, 1830, 373, 309, 2287, 18, 646, 910, 510, 8409, 11246, 282, 505, 5510, 5000, 22044, 16, 515, 17503, 401, 8824, 46494, 324, 18, 25652, 17, 15975, 478, 49867, 470, 6070, 20842, 29929, 2715, 309, 10744, 11350, 17, 2589, 6365, 14943, 608, 38633, 3583, 290, 970, 16, 374, 492, 1559, 22659, 46839, 18, 27695, 2241, 3828, 16, 374, 19683, 14678, 478, 49867, 470, 322, 47453, 18, 824, 3163, 20842, 319, 3583, 16, 282, 2463, 1943, 23594, 1551, 18, 478, 4670, 803, 5809, 5702, 28920, 30, 608, 38633, 512, 583, 22427, 49606, 47353, 349, 17163, 1634, 43673, 19335, 16, 583, 349, 1498, 9665, 289, 583, 14119, 281, 2223, 5790, 281, 15631, 18, 1397, 764, 942, 334, 2856, 5083, 9923, 5433, 510, 1109, 20842, 29929, 6080, 478, 13261, 861, 6729, 2837, 13742, 16, 2486, 16684, 608, 38633, 14457, 16, 510, 1760, 986, 17703, 8124, 18, 4320, 575, 492, 3164, 424, 40956, 44649, 329, 965, 1642, 282, 18904, 547, 3942, 304, 27989, 309, 3569, 680, 4625, 18, 2, 1, 87, 1456, 81, 2448, 30, 630, 1780, 4151, 16, 4176, 1757, 282, 8995, 13569, 2533, 16, 42490, 19428, 931, 5159, 451, 9187, 16, 47343, 548, 16, 23228, 16, 19141, 289, 2384, 298, 3724, 18, 9098, 2039, 3056, 773, 7153, 25658, 7064, 48715, 6456, 18, 365, 4674, 331, 4267, 5872, 781, 1038, 906, 40544, 281, 7848, 12290, 354, 16, 515, 16, 334, 3163, 2236, 411, 31276, 16, 481, 1139, 8511, 451, 5689, 18, 365, 502, 575, 808, 901, 12886, 2891, 12002, 16, 374, 1314, 28869, 1247, 381, 2657, 582, 5164, 309, 18632, 315, 17, 454, 10010, 12535, 10640, 18, 31224, 30, 677, 15392, 48715, 6456, 4936, 530, 4631, 4151, 16, 4176, 1757, 1949, 2533, 282, 8995, 16, 4378, 11283, 309, 18632, 315, 17, 454, 10010, 12535, 10640, 16, 8977, 6080, 478, 13261, 470, 3781, 17, 15975, 1524, 3008, 321, 27527, 5791, 11658, 2785, 280, 1384, 286, 1162, 18, 4756, 2904, 5792, 46646, 5825, 5439, 6456, 290, 970, 16, 374, 17757, 5119, 5142, 6976, 8008, 2294, 19428, 931, 5159, 536, 37921, 18, 36017, 10195, 18479, 16, 374, 282, 4674, 331, 4267, 5872, 781, 1038, 898, 47343, 548, 16, 23228, 16, 19141, 16, 2384, 298, 2356, 289, 40544, 281, 7848, 12290, 354, 18, 985, 16170, 282, 27246, 16, 31276, 17575, 4879, 29700, 1034, 1117, 3854, 289, 17575, 4879, 48775, 1034, 1117, 3854, 25732, 2555, 4120, 309, 25143, 1556, 478, 677, 12218, 16, 20098, 6511, 910, 1029, 8907, 455, 43204, 8967, 478, 4408, 8903, 510, 20978, 278, 470, 282, 4301, 901, 13230, 31479, 16652, 18, 640, 30879, 6052, 13737, 5901, 16936, 5842, 1949, 26495, 973, 2533, 18, 478, 44101, 574, 15310, 31432, 4631, 3317, 3000, 3595, 7792, 16, 367, 4674, 49868, 9187, 276, 16, 290, 1639, 14083, 475, 5792, 16, 898, 5657, 2626, 2726, 8943, 7461, 289, 24589, 22521, 18, 365, 5734, 2083, 28402, 18145, 1247, 381, 3320, 541, 5164, 18103, 35828, 17, 454, 10010, 9305, 7901, 910, 510, 25341, 2785, 280, 1384, 286, 1162, 18, 967, 481, 4813, 309, 39199, 5460, 2904, 5792, 294, 322, 1965, 19697, 4936, 1876, 541, 31276, 16, 2419, 6052, 4608, 9529, 6730, 3215, 4745, 18, 478, 4529, 9089, 16, 329, 2616, 374, 912, 16, 502, 289, 9095, 18, 18983, 25707, 2438, 349, 3338, 14886, 16, 515, 4836, 16, 374, 37222, 2300, 1906, 276, 910, 510, 1109, 16338, 2832, 84, 18, 1572, 1176, 411, 1129, 18, 478, 35569, 451, 16, 2091, 16, 9239, 16, 515, 7221, 286, 825, 21730, 282, 8463, 322, 17002, 18, 629, 17, 299, 4539, 16, 4378, 13440, 1299, 42490, 510, 12338, 4577, 2153, 16, 515, 481, 4167, 8511, 451, 5689, 910, 510, 4848, 30942, 289, 29325, 695, 4725, 16, 374, 840, 478, 5858, 345, 282, 8995, 44115, 4694, 7807, 2078, 861, 5043, 16, 1248, 6711, 808, 1011, 924, 16, 428, 290, 4936, 1165, 13737, 282, 5792, 16, 6605, 5825, 16, 374, 27680, 6839, 17115, 24157, 576, 4631, 4151, 334, 1533, 4500, 18, 2791, 18, 37451, 290, 9849, 452, 2533, 23527, 282, 11929, 668, 2301, 6660, 8231, 1175, 334, 20978, 2818, 32379, 2706, 4120, 18, 14766, 17859, 294, 10299, 307, 7768, 281, 29582, 290, 749, 1246, 547, 42509, 763, 2511, 17, 11884, 5794, 18, 824, 3163, 4109, 16, 678, 281, 13472, 289, 13847, 11890, 309, 20120, 8285, 2406, 281, 2008, 845, 3495, 818, 390, 418, 18, 385, 2872, 685, 764, 1176, 6511, 510, 5544, 7745, 8339, 18, 385, 4079, 43789, 12357, 25159, 289, 17640, 18, 7909, 7761, 10073, 5978, 2533, 7557, 16, 515, 697, 9868, 322, 14694, 537, 294, 4080, 12821, 18, 365, 6031, 309, 14823, 2533, 14416, 8811, 6233, 477, 12441, 315, 17, 45486, 328, 758, 48111, 16, 367, 1038, 12439, 289, 26032, 16677, 18, 4149, 25918, 1272, 42023, 411, 10632, 16204, 3588, 48715, 3700, 18, 985, 12374, 5747, 16, 29212, 6371, 15134, 289, 5658, 38167, 6736, 10704, 18, 4635, 1122, 697, 11232, 289, 2223, 16, 988, 745, 20179, 8064, 2919, 16, 10519, 30942, 16, 1029, 3641, 44786, 6149, 46838, 8933, 18, 824, 265, 2449, 3047, 2462, 2251, 2533, 14169, 360, 20268, 1614, 297, 18, 889, 639, 726, 282, 15301, 32105, 5963, 4016, 4120, 18, 403, 2222, 18254, 14823, 41235, 726, 3103, 3139, 16, 639, 34192, 1569, 2364, 1939, 8482, 18, 11040, 355, 24214, 4110, 282, 13335, 281, 590, 3345, 332, 900, 979, 18, 478, 780, 1076, 1510, 685, 749, 1333, 1965, 18, 25588, 742, 1721, 309, 4082, 18, 3575, 5042, 925, 42023, 309, 42142, 454, 294, 2942, 2986, 18, 608, 1047, 16, 3235, 8718, 4811, 289, 351, 553, 16, 1329, 322, 639, 18, 2112, 4272, 898, 29698, 25624, 910, 510, 10703, 1770, 1509, 18, 1572, 8306, 11287, 3320, 478, 4408, 8903, 26495, 973, 2533, 510, 20978, 278, 289, 20978, 778, 2743, 470, 10261, 7323, 19920, 18, 25588, 1157, 519, 4319, 1326, 11475, 6178, 4176, 1378, 2533, 282, 14154, 289, 25449, 530, 773, 13625, 2005, 18, 9098, 41306, 16239, 541, 8008, 2294, 510, 1055, 2180, 3595, 282, 3177, 21439, 18, 365, 7842, 6160, 4181, 2078, 7153, 5832, 1033, 33964, 19650, 289, 46229, 18, 996, 16, 1533, 4120, 9573, 6520, 16200, 1347, 29277, 12519, 415, 26383, 1175, 334, 336, 18, 23860, 291, 2818, 35166, 6233, 25682, 34848, 329, 289, 15802, 825, 18675, 10194, 6233, 415, 26383, 1175, 334, 336, 18, 23860, 291, 2818, 43628, 8925, 27120, 6233, 25682, 2124, 14457, 7153, 4030, 19650, 8231, 1175, 478, 3693, 42826, 567, 3499, 16936, 861, 4663 ]
[ 5142, 6976, 349, 502, 16, 374, 282, 12938, 745, 18187, 10504, 41397, 15358, 18126, 411, 1763, 13351, 2198, 11547, 18, 34848, 289, 2124, 512, 898, 282, 17062, 16, 785, 23493, 519, 14430, 6519, 477, 1963, 1763, 13351, 286, 268, 434, 11697, 2749, 16730, 290, 3599, 18, 25344, 7742, 22056, 424, 20517, 294, 29857, 12730, 16, 1586, 6666, 309, 5964, 16, 289, 11152, 16, 374, 678, 9414, 26946, 411, 311, 1730, 47230, 282, 30128, 334, 4437, 11686, 18, 1606, 1833, 575, 45138, 4282, 7762, 18, 18561, 16, 374, 481, 898, 13801, 289, 37317, 18, 1591, 808, 23608, 8339, 38766, 16, 290, 995, 811, 289, 8211, 282, 41225, 18, 2667, 978, 16, 2123, 4238, 16, 26247, 411, 31426, 680, 1767, 26061, 8450, 306, 602, 357, 8053, 5142, 6976, 349, 21243, 6566, 17827, 11667, 411, 4224, 1352, 1642, 18, 33540, 11540, 282, 4033, 2557, 18, 415, 970, 16, 374, 282, 4122, 764, 6933, 6501, 2533, 16, 20554, 6851, 360, 697, 1436, 16, 785, 294, 40212, 726, 898, 15200, 13689, 2204, 6676, 5119, 18, 602, 357, 2931, 1833, 575, 9031, 309, 3961, 18, 640, 3427, 492, 12953, 13493, 16, 387, 14430, 2822, 309, 4082, 1949, 11884, 4282, 18, 365, 760, 22666, 4122, 17752, 11931, 8109, 16, 2588, 322, 1833, 3225, 3089, 411, 17, 431, 16990, 18, 16577, 6711, 808, 1011, 2742, 18455, 20554, 475, 575, 6089, 17509, 16, 1586, 18408, 977, 360, 15616, 18, 999, 21243, 4282, 602, 357, 8053, 16844, 925, 21773, 478, 3693, 42826, 567, 3499, 16936, 861, 2, 1, 87, 1456, 81, 2448, 30, 471, 35241, 13377, 31106, 910, 27146, 848, 38239, 326, 16, 36910, 450, 4790, 551, 16, 7120, 280, 864, 271, 289, 40150, 3911, 6207, 960, 262, 510, 282, 13236, 915, 883, 1212, 504, 1991, 40542, 32190, 11606, 860, 17915, 32655, 16661, 779, 282, 1767, 4889, 18, 31224, 30, 684, 375, 412, 298, 21953, 14243, 860, 17915, 349, 1423, 1715, 14596, 275, 508, 7576, 5901, 7801, 1248, 7457, 16, 453, 374, 289, 36133, 13172, 978, 779, 7006, 520, 942, 6532, 828, 17, 299, 50138, 3276, 18, 1312, 9009, 542, 17, 9989, 1223, 1472, 7801, 282, 15347, 8083, 9279, 42491, 87, 17348, 22213, 282, 13236, 915, 883, 1212, 3580, 504, 1991, 40542, 473, 275, 3713, 13, 289, 322, 1857, 25177, 282, 24167, 17130, 473, 431, 6573, 840, 27997, 6149, 1248, 1119, 16, 5475, 282, 11084, 16, 1533, 4238, 16, 428, 726, 639, 282, 5653, 1045, 814, 2949, 924, 16, 30111, 11898, 5658, 282, 803, 1045, 10419, 360, 13649, 20063, 16, 515, 2410, 1588, 24449, 1378, 16061, 1437, 4011, 478, 7592, 1081, 11769, 309, 14980, 749, 28072, 470, 670, 478, 7223, 346, 19599, 31609, 861, 9570, 475, 11404, 5290, 334, 17, 6093, 289, 34984, 34724, 16, 2710, 1717, 16365, 31387, 4641, 282, 19842, 2244, 44542, 18372, 15364, 860, 17915, 18, 42187, 47991, 309, 860, 17915, 41699, 2751, 28882, 4145, 779, 1559, 32055, 15585, 31343, 26881, 2161, 607, 478, 20659, 2064, 448, 2793, 30, 10609, 13377, 31106, 861, 27146, 848, 38239, 326, 282, 12884, 478, 20659, 2064, 448, 2793, 30, 10609, 13377, 3402, 470, 385, 465, 3407, 6727, 6727, 20790, 277, 3032, 12030, 510, 481, 7732, 2301, 24176, 3182, 42301, 17, 2077, 508, 323, 47047, 1011, 15557, 835, 309, 2089, 3502, 460, 6637, 294, 2241, 44944, 473, 275, 4018, 17, 277, 15947, 30817, 27937, 697, 349, 322, 2619, 10779, 2257, 16, 828, 11618, 4889, 507, 607, 16, 4843, 24, 5096, 814, 4988, 8183, 17601, 1812, 4652, 1248, 2555, 986, 1011, 6059, 478, 47045, 2005, 302, 452, 4890, 470, 473, 466, 1746, 15585, 16, 18447, 1510, 282, 17004, 1045, 934, 367, 19211, 5703, 282, 1420, 16004, 428, 9621, 1453, 48024, 24869, 6493, 275, 473, 9840, 28504, 353, 8313, 1624, 46906, 2612, 727, 5551, 289, 22936, 312, 10527, 14018, 25408, 453, 289, 1965, 11707, 36490, 16, 3279, 16, 7089, 16, 1320, 38483, 42999, 343, 4612, 360, 19901, 860, 17915, 18, 27146, 848, 38239, 326, 1624, 49302, 1712, 949, 331, 552, 24717, 16, 7356, 2394, 282, 25286, 478, 6889, 2736, 779, 910, 367, 18026, 450, 4790, 551, 510, 49981, 292, 13224, 435, 20609, 510, 1559, 12916, 18032, 263, 339, 779, 18, 740, 7396, 14638, 16061, 5613, 10645, 3741, 478, 20659, 2064, 432, 21118, 470, 289, 11176, 811, 16, 1830, 20850, 14015, 15477, 8621, 779, 329, 478, 780, 285, 1643, 30, 625, 287, 4579, 266, 10084, 910, 478, 822, 22287, 864, 332, 470, 670, 478, 780, 1592, 17958, 718, 10485, 470, 39392, 2353, 18, 8071, 1888, 18723, 1321, 510, 16814, 412, 931, 941, 19746, 17, 25976, 700, 1059, 18, 59, 18, 37, 18, 478, 27874, 17421, 470, 289, 2886, 10913, 11441, 478, 684, 6992, 30, 43898, 485, 19505, 382, 470, 510, 475, 575, 7866, 506, 281, 6632, 9960, 931, 4887, 289, 1739, 44175, 4116, 35243, 3502, 460, 288, 322, 3005, 18, 18026, 450, 4790, 551, 282, 12884, 478, 20659, 2064, 448, 2793, 30, 10609, 13377, 3402, 470, 33283, 16, 515, 282, 10095, 25286, 322, 5121, 5174, 14845, 31709, 6507, 8736, 343, 33541, 9880, 8367, 478, 19479, 41850, 10806, 30, 32135, 19468, 470, 510, 29410, 7518, 478, 630, 328, 4929, 470, 473, 864, 425, 289, 282, 15662, 19084, 292, 13, 428, 17, 299, 6382, 5289, 4612, 16061, 268, 712, 18, 740, 1965, 749, 27072, 1177, 6793, 322, 6088, 18, 11442, 5622, 7676, 356, 2756, 19621, 12468, 24357, 334, 7475, 860, 17915, 349, 4119, 727, 20788, 15766, 282, 478, 822, 350, 2517, 19468, 861, 459, 764, 396, 478, 49287, 861, 7914, 3665, 16, 374, 10095, 16816, 9511, 9220, 1027, 282, 2343, 3750, 25055, 17, 295, 17581, 46805, 18661, 31700, 11898, 13699, 680, 4889, 333, 1117, 45239, 685, 40150, 3911, 6207, 960, 262, 18, 2667, 978, 492, 2846, 1289, 49038, 13049, 309, 2089, 24982, 428, 9778, 473, 265, 7406, 428, 28794, 934, 515, 2552, 445, 1413, 16295, 282, 5703, 42969, 1081, 16, 374, 9002, 857, 2770, 22490, 26288, 309, 6266, 25029, 38131, 18, 459, 1215, 282, 803, 1045, 3911, 6207, 960, 262, 510, 281, 35271, 9868, 510, 3210, 3619, 20462, 451, 2394, 473, 275, 28272, 294, 764, 1375, 390, 27072, 16, 2496, 1639, 685, 289, 478, 35959, 9304, 948, 9979, 349, 4119, 42023, 17, 1282, 293, 2314, 2742, 10860, 3931, 282, 741, 1318, 404, 14336, 292, 1191, 331, 11537, 267, 962, 507, 1540, 268, 1042, 312, 552, 478, 5786, 675, 1779, 861, 19758, 412, 298, 21953, 860, 17915, 4619, 1279, 8300, 5071, 347, 20420, 8900, 322, 2756 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5142, 6976, 349, 502, 16, 374, 282, 12938, 745, 18187, 10504, 41397, 15358, 18126, 411, 1763, 13351, 2198, 11547, 18, 34848, 289, 2124, 512, 898, 282, 17062, 16, 785, 23493, 519, 14430, 6519, 477, 1963, 1763, 13351, 286, 268, 434, 11697, 2749, 16730, 290, 3599, 18, 25344, 7742, 22056, 424, 20517, 294, 29857, 12730, 16, 1586, 6666, 309, 5964, 16, 289, 11152, 16, 374, 678, 9414, 26946, 411, 311, 1730, 47230, 282, 30128, 334, 4437, 11686, 18, 1606, 1833, 575, 45138, 4282, 7762, 18, 18561, 16, 374, 481, 898, 13801, 289, 37317, 18, 1591, 808, 23608, 8339, 38766, 16, 290, 995, 811, 289, 8211, 282, 41225, 18, 2667, 978, 16, 2123, 4238, 16, 26247, 411, 31426, 680, 1767, 26061, 8450, 306, 602, 357, 8053, 5142, 6976, 349, 21243, 6566, 17827, 11667, 411, 4224, 1352, 1642, 18, 33540, 11540, 282, 4033, 2557, 18, 415, 970, 16, 374, 282, 4122, 764, 6933, 6501, 2533, 16, 20554, 6851, 360, 697, 1436, 16, 785, 294, 40212, 726, 898, 15200, 13689, 2204, 6676, 5119, 18, 602, 357, 2931, 1833, 575, 9031, 309, 3961, 18, 640, 3427, 492, 12953, 13493, 16, 387, 14430, 2822, 309, 4082, 1949, 11884, 4282, 18, 365, 760, 22666, 4122, 17752, 11931, 8109, 16, 2588, 322, 1833, 3225, 3089, 411, 17, 431, 16990, 18, 16577, 6711, 808, 1011, 2742, 18455, 20554, 475, 575, 6089, 17509, 16, 1586, 18408, 977, 360, 15616, 18, 999, 21243, 4282, 602, 357, 8053, 16844, 925, 21773, 478, 3693, 42826, 567, 3499, 16936, 861, 2, 1, 87, 1456, 81, 2448, 30, 471, 35241, 13377, 31106, 910, 27146, 848, 38239, 326, 16, 36910, 450, 4790, 551, 16, 7120, 280, 864, 271, 289, 40150, 3911, 6207, 960, 262, 510, 282, 13236, 915, 883, 1212, 504, 1991, 40542, 32190, 11606, 860, 17915, 32655, 16661, 779, 282, 1767, 4889, 18, 31224, 30, 684, 375, 412, 298, 21953, 14243, 860, 17915, 349, 1423, 1715, 14596, 275, 508, 7576, 5901, 7801, 1248, 7457, 16, 453, 374, 289, 36133, 13172, 978, 779, 7006, 520, 942, 6532, 828, 17, 299, 50138, 3276, 18, 1312, 9009, 542, 17, 9989, 1223, 1472, 7801, 282, 15347, 8083, 9279, 42491, 87, 17348, 22213, 282, 13236, 915, 883, 1212, 3580, 504, 1991, 40542, 473, 275, 3713, 13, 289, 322, 1857, 25177, 282, 24167, 17130, 473, 431, 6573, 840, 27997, 6149, 1248, 1119, 16, 5475, 282, 11084, 16, 1533, 4238, 16, 428, 726, 639, 282, 5653, 1045, 814, 2949, 924, 16, 30111, 11898, 5658, 282, 803, 1045, 10419, 360, 13649, 20063, 16, 515, 2410, 1588, 24449, 1378, 16061, 1437, 4011, 478, 7592, 1081, 11769, 309, 14980, 749, 28072, 470, 670, 478, 7223, 346, 19599, 31609, 861, 9570, 475, 11404, 5290, 334, 17, 6093, 289, 34984, 34724, 16, 2710, 1717, 16365, 31387, 4641, 282, 19842, 2244, 44542, 18372, 15364, 860, 17915, 18, 42187, 47991, 309, 860, 17915, 41699, 2751, 28882, 4145, 779, 1559, 32055, 15585, 31343, 26881, 2161, 607, 478, 20659, 2064, 448, 2793, 30, 10609, 13377, 31106, 861, 27146, 848, 38239, 326, 282, 12884, 478, 20659, 2064, 448, 2793, 30, 10609, 13377, 3402, 470, 385, 465, 3407, 6727, 6727, 20790, 277, 3032, 12030, 510, 481, 7732, 2301, 24176, 3182, 42301, 17, 2077, 508, 323, 47047, 1011, 15557, 835, 309, 2089, 3502, 460, 6637, 294, 2241, 44944, 473, 275, 4018, 17, 277, 15947, 30817, 27937, 697, 349, 322, 2619, 10779, 2257, 16, 828, 11618, 4889, 507, 607, 16, 4843, 24, 5096, 814, 4988, 8183, 17601, 1812, 4652, 1248, 2555, 986, 1011, 6059, 478, 47045, 2005, 302, 452, 4890, 470, 473, 466, 1746, 15585, 16, 18447, 1510, 282, 17004, 1045, 934, 367, 19211, 5703, 282, 1420, 16004, 428, 9621, 1453, 48024, 24869, 6493, 275, 473, 9840, 28504, 353, 8313, 1624, 46906, 2612, 727, 5551, 289, 22936, 312, 10527, 14018, 25408, 453, 289, 1965, 11707, 36490, 16, 3279, 16, 7089, 16, 1320, 38483, 42999, 343, 4612, 360, 19901, 860, 17915, 18, 27146, 848, 38239, 326, 1624, 49302, 1712, 949, 331, 552, 24717, 16, 7356, 2394, 282, 25286, 478, 6889, 2736, 779, 910, 367, 18026, 450, 4790, 551, 510, 49981, 292, 13224, 435, 20609, 510, 1559, 12916, 18032, 263, 339, 779, 18, 740, 7396, 14638, 16061, 5613, 10645, 3741, 478, 20659, 2064, 432, 21118, 470, 289, 11176, 811, 16, 1830, 20850, 14015, 15477, 8621, 779, 329, 478, 780, 285, 1643, 30, 625, 287, 4579, 266, 10084, 910, 478, 822, 22287, 864, 332, 470, 670, 478, 780, 1592, 17958, 718, 10485, 470, 39392, 2353, 18, 8071, 1888, 18723, 1321, 510, 16814, 412, 931, 941, 19746, 17, 25976, 700, 1059, 18, 59, 18, 37, 18, 478, 27874, 17421, 470, 289, 2886, 10913, 11441, 478, 684, 6992, 30, 43898, 485, 19505, 382, 470, 510, 475, 575, 7866, 506, 281, 6632, 9960, 931, 4887, 289, 1739, 44175, 4116, 35243, 3502, 460, 288, 322, 3005, 18, 18026, 450, 4790, 551, 282, 12884, 478, 20659, 2064, 448, 2793, 30, 10609, 13377, 3402, 470, 33283, 16, 515, 282, 10095, 25286, 322, 5121, 5174, 14845, 31709, 6507, 8736, 343, 33541, 9880, 8367, 478, 19479, 41850, 10806, 30, 32135, 19468, 470, 510, 29410, 7518, 478, 630, 328, 4929, 470, 473, 864, 425, 289, 282, 15662, 19084, 292, 13, 428, 17, 299, 6382, 5289, 4612, 16061, 268, 712, 18, 740, 1965, 749, 27072, 1177, 6793, 322, 6088, 18, 11442, 5622, 7676, 356, 2756, 19621, 12468, 24357, 334, 7475, 860, 17915, 349, 4119, 727, 20788, 15766, 282, 478, 822, 350, 2517, 19468, 861, 459, 764, 396, 478, 49287, 861, 7914, 3665, 16, 374, 10095, 16816, 9511, 9220, 1027, 282, 2343, 3750, 25055, 17, 295, 17581, 46805, 18661, 31700, 11898, 13699, 680, 4889, 333, 1117, 45239, 685, 40150, 3911, 6207, 960, 262, 18, 2667, 978, 492, 2846, 1289, 49038, 13049, 309, 2089, 24982, 428, 9778, 473, 265, 7406, 428, 28794, 934, 515, 2552, 445, 1413, 16295, 282, 5703, 42969, 1081, 16, 374, 9002, 857, 2770, 22490, 26288, 309, 6266, 25029, 38131, 18, 459, 1215, 282, 803, 1045, 3911, 6207, 960, 262, 510, 281, 35271, 9868, 510, 3210, 3619, 20462, 451, 2394, 473, 275, 28272, 294, 764, 1375, 390, 27072, 16, 2496, 1639, 685, 289, 478, 35959, 9304, 948, 9979, 349, 4119, 42023, 17, 1282, 293, 2314, 2742, 10860, 3931, 282, 741, 1318, 404, 14336, 292, 1191, 331, 11537, 267, 962, 507, 1540, 268, 1042, 312, 552, 478, 5786, 675, 1779, 861, 19758, 412, 298, 21953, 860, 17915, 4619, 1279, 8300, 5071, 347, 20420, 8900, 322, 2756 ]
[ 510, 289, 33721, 49591, 3911, 6207, 960, 262, 7625, 11225, 764, 2059, 5276, 5353, 761, 349, 24235, 1292, 2127, 4119, 18, 365, 5344, 575, 21773, 43636, 12978, 1033, 17, 25249, 36102, 2496, 34685, 282, 16061, 4678, 15474, 18, 8071, 43522, 9032, 887, 478, 822, 22287, 864, 1528, 910, 19136, 17, 21131, 272, 6632, 9960, 931, 507, 478, 29579, 11568, 11593, 49302, 1510, 19809, 4119, 8860, 363, 25547, 18422, 267, 3619, 24982, 428, 10793, 32290, 16, 367, 46222, 505, 7120, 280, 864, 332, 281, 439, 16470, 3032, 473, 964, 16480, 7009, 3699, 1532, 268, 6778, 2756, 19621, 3332, 761, 282, 4889, 349, 1205, 18, 6735, 1757, 28383, 779, 2756, 22660, 2549, 49487, 9192, 349, 12376, 2301, 478, 563, 323, 382, 17, 6781, 35235, 301, 2203, 910, 5251, 2110, 6793, 7756, 478, 1009, 1905, 448, 4466, 861, 39671, 554, 349, 10793, 24586, 5684, 1272, 30077, 411, 31618, 35020, 25352, 504, 2817, 3646, 478, 732, 476, 2110, 1609, 491, 470, 510, 18026, 3911, 2880, 268, 289, 1895, 8216, 19475, 2612, 18, 7409, 478, 732, 476, 2110, 1609, 470, 17060, 289, 16061, 1066, 478, 40593, 9778, 778, 46147, 470, 510, 9705, 16, 282, 1335, 25097, 2826, 1882, 5142, 14177, 1209, 16972, 304, 16, 367, 322, 4442, 990, 2616, 17, 299, 29635, 16, 1830, 7956, 403, 12776, 2611, 289, 1543, 575, 19475, 2612, 473, 1674, 4181, 47302, 15220, 48719, 549, 16973, 13, 20146, 282, 19084, 292, 478, 17616, 1712, 21412, 470, 289, 478, 17616, 1712, 571, 25632, 549, 4119, 470, 8774, 18, 740, 2141, 860, 17915, 41699, 2751, 28882, 978, 779, 4167, 29429, 21729, 16, 4813, 309, 12165, 22632, 1412, 1465, 749, 807, 43107, 19163, 986, 18, 5452, 489, 15259, 282, 504, 1991, 40542, 43374, 26134, 3531, 16, 22076, 448, 5703, 382, 20134, 3275, 1580, 7638, 510, 3057, 16, 478, 4925, 47924, 14837, 321, 470, 411, 4473, 23070, 21880, 42027, 473, 560, 1454, 282, 11872, 978, 779, 934, 6632, 9960, 931, 507, 478, 27059, 308, 28057, 30, 1483, 24303, 14262, 470, 473, 293, 30557, 282, 11366, 13, 670, 8621, 411, 2422, 478, 5570, 1049, 12841, 470, 478, 1182, 3150, 28166, 24738, 289, 988, 745, 48505, 470, 473, 41214, 282, 12838, 814, 365, 4676, 25286, 478, 11162, 488, 1063, 5517, 470, 21035, 428, 445, 478, 27874, 17421, 470, 1224, 505, 2838, 289, 28096, 414, 349, 6711, 35566, 2118, 2222, 16, 428, 48539, 941, 19746, 17, 44523, 21536, 9218, 19187, 289, 7387, 294, 48199, 16, 515, 16, 6709, 16, 6174, 2301, 8621, 28009, 25801, 11171, 18, 439, 12916, 8501, 3276, 47991, 685, 13334, 478, 1605, 353, 470, 510, 32338, 30192, 27470, 439, 848, 2503, 1241, 513, 488, 264, 381, 32719, 1027, 411, 1354, 48947, 800, 16973, 19192, 268, 890, 948, 12541, 1542, 12030, 16, 7089, 16, 2756, 289, 18661, 28279, 478, 630, 43123, 861, 2814, 305, 448, 21773, 47855, 298, 21953, 860, 17915, 1038, 322, 2756, 2240, 23202, 44735, 18, 26562, 11358, 473, 49, 17915, 1180, 5753, 1096, 20281, 13, 45287, 19475, 1528, 8454, 1306, 1624, 367, 571, 25632, 536, 336, 979, 473, 26704, 527, 658, 28972, 16304, 20281, 13, 906, 40569, 39489, 8561, 25610, 345, 16, 1586, 282, 4101, 3142, 2756, 2059, 411, 10235, 4717, 17, 635, 10350, 49344, 795, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 14608, 12688, 16, 753, 953, 18987, 16, 510, 481, 396, 7933, 8751, 5284, 18, 7249, 309, 502, 374, 5343, 840, 502, 289, 1743, 1413, 5559, 424, 17566, 21301, 1970, 16, 23337, 539, 11440, 8633, 45337, 13003, 16, 367, 12412, 510, 20213, 18, 1268, 2342, 1558, 360, 12504, 291, 9040, 687, 282, 10264, 11084, 16, 515, 289, 1542, 1188, 30630, 12146, 2410, 24377, 18, 31224, 30, 677, 10882, 16, 1760, 3612, 16, 282, 32533, 9804, 840, 4783, 1954, 7957, 3806, 11972, 15969, 16, 6442, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 861, 640, 8011, 7019, 23337, 434, 13223, 473, 275, 3650, 16, 282, 11683, 14471, 510, 1409, 8725, 6322, 941, 266, 18, 422, 3406, 14394, 30880, 9478, 48686, 847, 30, 827, 8889, 289, 10222, 16, 502, 26472, 4168, 808, 289, 3964, 322, 8856, 18, 4320, 27802, 24102, 27282, 371, 803, 3956, 266, 3585, 11120, 16, 289, 12412, 12146, 309, 1032, 443, 25, 5448, 4803, 14471, 18, 11821, 2157, 339, 8819, 15185, 43138, 289, 28192, 34419, 4250, 22248, 16, 821, 3444, 289, 6151, 297, 1532, 382, 282, 29185, 1354, 18, 27247, 19988, 376, 3420, 41697, 2783, 5448, 563, 16, 17119, 519, 376, 2932, 5448, 563, 18, 25740, 840, 39409, 48698, 30, 376, 3114, 41697, 2479, 5448, 563, 18, 23544, 4650, 451, 491, 443, 27, 308, 19, 267, 18, 640, 5421, 1119, 16, 282, 11877, 16, 282, 5482, 2553, 281, 9265, 17, 431, 6372, 17406, 847, 3655, 18457, 2221, 18, 817, 24859, 281, 1807, 29142, 13029, 1979, 24628, 18, 27247, 840, 12504, 315, 45852, 6091, 41697, 2692, 5448, 563, 934, 515, 28215, 749, 30880, 18, 15530, 17, 14099, 451, 6978, 322, 7081, 1286, 308, 19, 267, 18, 439, 1215, 567, 2992, 11053, 2299, 10222, 8889, 16, 15516, 1322, 388, 16, 367, 1382, 5937, 289, 9265, 17, 12212, 2234, 6978, 4783, 1463, 519, 1533, 308, 19, 267, 289, 4040, 10592, 420, 11835, 18, 365, 10209, 16, 31702, 726, 7801, 45017, 1772, 2357, 10598, 355, 282, 19953, 12241, 289, 6276, 411, 4096, 281, 9107, 5925, 2498, 2608, 18, 2231, 1254, 2388, 575, 30, 334, 3775, 322, 9625, 24939, 44247, 10323, 496, 16, 13943, 38722, 334, 4737, 22058, 360, 11315, 11922, 7626, 16, 387, 18282, 519, 12188, 10781, 281, 9408, 304, 289, 349, 8467, 4038, 308, 2128, 269, 309, 3022, 42587, 38618, 18, 36748, 2261, 3612, 19988, 282, 11683, 376, 3114, 41697, 2479, 5448, 563, 18, 981, 25062, 282, 35523, 510, 1409, 6427, 6322, 941, 266, 18, 422, 18, 365, 11084, 16, 2123, 3612, 16, 18457, 2221, 26457, 1123, 4763, 2127, 6391, 25454, 30, 2805, 15072, 492, 840, 5426, 16, 1038, 44157, 1340, 29865, 17355, 1322, 538, 18, 32649, 5667, 322, 48700, 309, 26715, 1066, 16, 367, 428, 17, 299, 44226, 649, 1756, 16, 988, 387, 40099, 414, 5894, 309, 3765, 18, 378, 4607, 420, 8523, 9265, 17, 12212, 2234, 6978, 4783, 1463, 519, 1912, 308, 19, 267, 18, 9570, 9478, 34691, 426, 305, 30, 5426, 519, 376, 4234, 41697, 28, 5448, 563, 16, 367, 7760, 519, 376, 27, 41697, 22, 5448, 563, 18, 23544, 8018, 266, 10895, 309, 9265, 17, 14099, 539, 289, 4650, 539, 289 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 510, 289, 33721, 49591, 3911, 6207, 960, 262, 7625, 11225, 764, 2059, 5276, 5353, 761, 349, 24235, 1292, 2127, 4119, 18, 365, 5344, 575, 21773, 43636, 12978, 1033, 17, 25249, 36102, 2496, 34685, 282, 16061, 4678, 15474, 18, 8071, 43522, 9032, 887, 478, 822, 22287, 864, 1528, 910, 19136, 17, 21131, 272, 6632, 9960, 931, 507, 478, 29579, 11568, 11593, 49302, 1510, 19809, 4119, 8860, 363, 25547, 18422, 267, 3619, 24982, 428, 10793, 32290, 16, 367, 46222, 505, 7120, 280, 864, 332, 281, 439, 16470, 3032, 473, 964, 16480, 7009, 3699, 1532, 268, 6778, 2756, 19621, 3332, 761, 282, 4889, 349, 1205, 18, 6735, 1757, 28383, 779, 2756, 22660, 2549, 49487, 9192, 349, 12376, 2301, 478, 563, 323, 382, 17, 6781, 35235, 301, 2203, 910, 5251, 2110, 6793, 7756, 478, 1009, 1905, 448, 4466, 861, 39671, 554, 349, 10793, 24586, 5684, 1272, 30077, 411, 31618, 35020, 25352, 504, 2817, 3646, 478, 732, 476, 2110, 1609, 491, 470, 510, 18026, 3911, 2880, 268, 289, 1895, 8216, 19475, 2612, 18, 7409, 478, 732, 476, 2110, 1609, 470, 17060, 289, 16061, 1066, 478, 40593, 9778, 778, 46147, 470, 510, 9705, 16, 282, 1335, 25097, 2826, 1882, 5142, 14177, 1209, 16972, 304, 16, 367, 322, 4442, 990, 2616, 17, 299, 29635, 16, 1830, 7956, 403, 12776, 2611, 289, 1543, 575, 19475, 2612, 473, 1674, 4181, 47302, 15220, 48719, 549, 16973, 13, 20146, 282, 19084, 292, 478, 17616, 1712, 21412, 470, 289, 478, 17616, 1712, 571, 25632, 549, 4119, 470, 8774, 18, 740, 2141, 860, 17915, 41699, 2751, 28882, 978, 779, 4167, 29429, 21729, 16, 4813, 309, 12165, 22632, 1412, 1465, 749, 807, 43107, 19163, 986, 18, 5452, 489, 15259, 282, 504, 1991, 40542, 43374, 26134, 3531, 16, 22076, 448, 5703, 382, 20134, 3275, 1580, 7638, 510, 3057, 16, 478, 4925, 47924, 14837, 321, 470, 411, 4473, 23070, 21880, 42027, 473, 560, 1454, 282, 11872, 978, 779, 934, 6632, 9960, 931, 507, 478, 27059, 308, 28057, 30, 1483, 24303, 14262, 470, 473, 293, 30557, 282, 11366, 13, 670, 8621, 411, 2422, 478, 5570, 1049, 12841, 470, 478, 1182, 3150, 28166, 24738, 289, 988, 745, 48505, 470, 473, 41214, 282, 12838, 814, 365, 4676, 25286, 478, 11162, 488, 1063, 5517, 470, 21035, 428, 445, 478, 27874, 17421, 470, 1224, 505, 2838, 289, 28096, 414, 349, 6711, 35566, 2118, 2222, 16, 428, 48539, 941, 19746, 17, 44523, 21536, 9218, 19187, 289, 7387, 294, 48199, 16, 515, 16, 6709, 16, 6174, 2301, 8621, 28009, 25801, 11171, 18, 439, 12916, 8501, 3276, 47991, 685, 13334, 478, 1605, 353, 470, 510, 32338, 30192, 27470, 439, 848, 2503, 1241, 513, 488, 264, 381, 32719, 1027, 411, 1354, 48947, 800, 16973, 19192, 268, 890, 948, 12541, 1542, 12030, 16, 7089, 16, 2756, 289, 18661, 28279, 478, 630, 43123, 861, 2814, 305, 448, 21773, 47855, 298, 21953, 860, 17915, 1038, 322, 2756, 2240, 23202, 44735, 18, 26562, 11358, 473, 49, 17915, 1180, 5753, 1096, 20281, 13, 45287, 19475, 1528, 8454, 1306, 1624, 367, 571, 25632, 536, 336, 979, 473, 26704, 527, 658, 28972, 16304, 20281, 13, 906, 40569, 39489, 8561, 25610, 345, 16, 1586, 282, 4101, 3142, 2756, 2059, 411, 10235, 4717, 17, 635, 10350, 49344, 795, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 14608, 12688, 16, 753, 953, 18987, 16, 510, 481, 396, 7933, 8751, 5284, 18, 7249, 309, 502, 374, 5343, 840, 502, 289, 1743, 1413, 5559, 424, 17566, 21301, 1970, 16, 23337, 539, 11440, 8633, 45337, 13003, 16, 367, 12412, 510, 20213, 18, 1268, 2342, 1558, 360, 12504, 291, 9040, 687, 282, 10264, 11084, 16, 515, 289, 1542, 1188, 30630, 12146, 2410, 24377, 18, 31224, 30, 677, 10882, 16, 1760, 3612, 16, 282, 32533, 9804, 840, 4783, 1954, 7957, 3806, 11972, 15969, 16, 6442, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 861, 640, 8011, 7019, 23337, 434, 13223, 473, 275, 3650, 16, 282, 11683, 14471, 510, 1409, 8725, 6322, 941, 266, 18, 422, 3406, 14394, 30880, 9478, 48686, 847, 30, 827, 8889, 289, 10222, 16, 502, 26472, 4168, 808, 289, 3964, 322, 8856, 18, 4320, 27802, 24102, 27282, 371, 803, 3956, 266, 3585, 11120, 16, 289, 12412, 12146, 309, 1032, 443, 25, 5448, 4803, 14471, 18, 11821, 2157, 339, 8819, 15185, 43138, 289, 28192, 34419, 4250, 22248, 16, 821, 3444, 289, 6151, 297, 1532, 382, 282, 29185, 1354, 18, 27247, 19988, 376, 3420, 41697, 2783, 5448, 563, 16, 17119, 519, 376, 2932, 5448, 563, 18, 25740, 840, 39409, 48698, 30, 376, 3114, 41697, 2479, 5448, 563, 18, 23544, 4650, 451, 491, 443, 27, 308, 19, 267, 18, 640, 5421, 1119, 16, 282, 11877, 16, 282, 5482, 2553, 281, 9265, 17, 431, 6372, 17406, 847, 3655, 18457, 2221, 18, 817, 24859, 281, 1807, 29142, 13029, 1979, 24628, 18, 27247, 840, 12504, 315, 45852, 6091, 41697, 2692, 5448, 563, 934, 515, 28215, 749, 30880, 18, 15530, 17, 14099, 451, 6978, 322, 7081, 1286, 308, 19, 267, 18, 439, 1215, 567, 2992, 11053, 2299, 10222, 8889, 16, 15516, 1322, 388, 16, 367, 1382, 5937, 289, 9265, 17, 12212, 2234, 6978, 4783, 1463, 519, 1533, 308, 19, 267, 289, 4040, 10592, 420, 11835, 18, 365, 10209, 16, 31702, 726, 7801, 45017, 1772, 2357, 10598, 355, 282, 19953, 12241, 289, 6276, 411, 4096, 281, 9107, 5925, 2498, 2608, 18, 2231, 1254, 2388, 575, 30, 334, 3775, 322, 9625, 24939, 44247, 10323, 496, 16, 13943, 38722, 334, 4737, 22058, 360, 11315, 11922, 7626, 16, 387, 18282, 519, 12188, 10781, 281, 9408, 304, 289, 349, 8467, 4038, 308, 2128, 269, 309, 3022, 42587, 38618, 18, 36748, 2261, 3612, 19988, 282, 11683, 376, 3114, 41697, 2479, 5448, 563, 18, 981, 25062, 282, 35523, 510, 1409, 6427, 6322, 941, 266, 18, 422, 18, 365, 11084, 16, 2123, 3612, 16, 18457, 2221, 26457, 1123, 4763, 2127, 6391, 25454, 30, 2805, 15072, 492, 840, 5426, 16, 1038, 44157, 1340, 29865, 17355, 1322, 538, 18, 32649, 5667, 322, 48700, 309, 26715, 1066, 16, 367, 428, 17, 299, 44226, 649, 1756, 16, 988, 387, 40099, 414, 5894, 309, 3765, 18, 378, 4607, 420, 8523, 9265, 17, 12212, 2234, 6978, 4783, 1463, 519, 1912, 308, 19, 267, 18, 9570, 9478, 34691, 426, 305, 30, 5426, 519, 376, 4234, 41697, 28, 5448, 563, 16, 367, 7760, 519, 376, 27, 41697, 22, 5448, 563, 18, 23544, 8018, 266, 10895, 309, 9265, 17, 14099, 539, 289, 4650, 539, 289 ]
[ 9913, 1344, 519, 1032, 443, 29, 308, 19, 267, 18, 981, 25062, 31211, 847, 519, 1409, 5041, 6322, 941, 266, 18, 422, 18, 22000, 4676, 5576, 4590, 8810, 10734, 521, 5368, 18, 385, 9443, 304, 18457, 15969, 17395, 5471, 19976, 16, 367, 11440, 35471, 519, 1715, 33833, 1409, 8725, 6322, 941, 266, 18, 422, 18, 39952, 6197, 8889, 16, 4650, 451, 289, 9839, 17, 12212, 2234, 6978, 519, 1409, 308, 19, 267, 18, 740, 3424, 1803, 303, 540, 305, 16, 428, 16, 9705, 16, 289, 28507, 10552, 11603, 2005, 18, 996, 16, 5426, 840, 376, 2692, 41697, 4234, 5448, 563, 16, 17119, 519, 376, 2932, 5448, 563, 18, 25740, 282, 10666, 16, 1281, 3612, 16, 1556, 818, 382, 24102, 27282, 322, 10585, 4716, 3230, 376, 3114, 41697, 2479, 5448, 563, 18, 23132, 1013, 47213, 467, 30, 24090, 1527, 8811, 322, 15246, 3236, 309, 28214, 2244, 289, 23800, 16699, 1612, 8197, 282, 43156, 2026, 4330, 18, 365, 3765, 309, 12241, 6197, 14838, 522, 3806, 11972, 15969, 20085, 3213, 6017, 16, 289, 3545, 9478, 29319, 1344, 30, 376, 5759, 41697, 3420, 5448, 563, 18, 23544, 16, 3754, 16, 1830, 289, 5211, 451, 16, 515, 23696, 510, 430, 443, 26, 308, 19, 267, 18, 4950, 2023, 16, 374, 2644, 541, 924, 16, 753, 9737, 3124, 282, 396, 7371, 278, 16, 2181, 1924, 18, 18110, 12688, 16, 753, 1759, 45253, 289, 6377, 622, 282, 8036, 24090, 332, 289, 322, 20949, 14075, 541, 9593, 16, 371, 803, 11771, 2495, 24723, 16, 753, 16454, 319, 16, 13750, 282, 10684, 294, 289, 15110, 307, 18, 25965, 539, 8460, 315, 17, 271, 1152, 539, 6017, 3116, 341, 11448, 9413, 27817, 18, 5181, 16, 726, 7760, 23337, 451, 12370, 281, 29776, 29352, 3213, 1137, 5090, 289, 424, 2931, 305, 3304, 9476, 18, 47105, 549, 12412, 567, 12241, 16, 667, 3612, 16, 840, 4004, 416, 541, 478, 409, 45259, 1300, 370, 29314, 12994, 11593, 376, 3114, 41697, 2479, 5448, 563, 18, 35919, 6978, 4783, 1463, 519, 816, 443, 28, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 16, 4813, 309, 43111, 1815, 18457, 2221, 16, 2961, 11465, 510, 10952, 22, 6322, 941, 266, 18, 422, 18, 365, 9937, 16, 1939, 3612, 16, 3187, 2234, 5549, 12146, 282, 694, 28146, 2095, 18457, 4495, 2160, 21758, 521, 16, 5482, 2024, 840, 11392, 1195, 48584, 8464, 18, 981, 25062, 16, 428, 537, 7322, 16, 8633, 2733, 575, 13003, 510, 10952, 22, 6322, 941, 266, 18, 422, 18, 365, 40177, 18457, 15969, 942, 840, 10672, 687, 334, 37649, 536, 8889, 4290, 4304, 289, 3753, 825, 30106, 13535, 18, 27247, 376, 2692, 41697, 4234, 5448, 563, 16, 367, 7760, 376, 4234, 41697, 28, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 816, 443, 28, 308, 19, 267, 18, 385, 3303, 486, 334, 11084, 4275, 412, 9862, 6295, 282, 3507, 289, 1767, 11534, 322, 25190, 18, 31574, 840, 11392, 282, 34033, 4300, 6448, 735, 10250, 18457, 15969, 18, 17942, 523, 19988, 3215, 1269, 16, 289, 282, 12165, 4701, 322, 5285, 928, 6197, 8889, 18, 985, 481, 537, 28528, 1398, 16, 4813, 309, 18457, 2221, 16, 23337, 539, 11440, 840, 18546, 14583, 16, 367, 12412, 16, 7415, 16, 3585, 11120, 18, 385, 11765, 29711, 334, 1574, 43650, 16704, 30990, 322, 1139, 2156, 16, 367, 939, 2156, 16, 374, 2805, 12960, 17882, 16, 785, 3067, 5001, 11801, 11305, 14854, 928, 512, 4220, 9692, 18, 640, 1574, 3022, 2397, 5667, 14316, 281, 1807, 16851, 37100, 16, 827, 912, 16, 670, 1139, 13660, 539, 11260, 289, 16034, 506, 1628, 20367, 282, 9510, 18, 20876, 297, 16, 3695, 3612, 16, 428, 445, 1176, 411, 1110, 2868, 16, 785, 28648, 23696, 8889, 18, 459, 515, 3412, 16, 289, 8785, 549, 13535, 1747, 3716, 11428, 6150, 30, 5426, 376, 2692, 41697, 4234, 5448, 563, 16, 7760, 376, 3420, 41697, 2783, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 816, 443, 28, 308, 19, 267, 18, 981, 25062, 10952, 24, 6322, 941, 266, 18, 422, 18, 385, 317, 20367, 282, 1177, 34426, 1119, 6721, 26758, 6440, 16, 32884, 448, 34500, 16, 11419, 7197, 18055, 44684, 473, 864, 425, 935, 322, 5732, 16, 367, 7369, 323, 16, 5397, 7958, 5842, 282, 26822, 934, 289, 20694, 1073, 1901, 12917, 309, 12753, 18, 7500, 4573, 27917, 5, 365, 10882, 16, 3405, 3612, 16, 2500, 1803, 303, 540, 305, 18, 27247, 376, 1618, 41697, 3940, 5448, 563, 16, 7760, 376, 2692, 41697, 4234, 5448, 563, 18, 640, 2495, 987, 304, 18125, 13768, 24423, 30, 10895, 8018, 1463, 281, 9839, 17, 14099, 434, 309, 4650, 539, 16, 367, 7872, 8633, 1574, 575, 16, 374, 289, 7760, 4419, 18, 10655, 4133, 2549, 539, 11440, 4893, 35471, 510, 519, 1409, 15009, 6322, 941, 266, 18, 422, 18, 12805, 2078, 16, 5139, 5966, 294, 10802, 395, 24628, 16, 2353, 603, 2374, 1954, 360, 6715, 289, 20335, 18, 20516, 318, 16, 1854, 609, 276, 911, 966, 839, 2644, 282, 4722, 15029, 1119, 16, 20647, 4193, 5171, 282, 46915, 12776, 16, 515, 6910, 971, 26270, 322, 687, 39536, 16, 18910, 289, 36793, 18, 25647, 1094, 16, 3703, 3612, 16, 4040, 5216, 7760, 16, 785, 30880, 322, 19988, 16, 1830, 309, 9516, 1747, 19107, 18, 640, 6372, 2822, 349, 28822, 4701, 14829, 11576, 373, 309, 22731, 454, 16885, 6828, 1485, 16, 2686, 411, 17, 431, 20213, 13535, 492, 840, 1965, 284, 538, 293, 2306, 18, 27247, 376, 5493, 41697, 1618, 5448, 563, 16, 7760, 376, 6568, 41697, 3902, 5448, 563, 18, 3791, 1177, 1119, 9271, 9496, 5211, 536, 21706, 519, 1488, 308, 19, 267, 18, 981, 25062, 334, 17, 6093, 20688, 510, 1409, 13539, 6322, 941, 266, 18, 422, 18, 459, 3227, 10562, 4270, 516, 5284, 12504, 451, 16, 515, 7533, 451, 1119, 18, 23544, 2500, 8018, 266, 10895, 473, 324, 9839, 17, 12212, 3589, 13, 289, 7872, 473, 660, 1409, 308, 19, 267, 814, 439, 1215, 23337, 451, 4328, 749, 9713, 510, 1409, 15009, 6322, 941, 266, 18, 422, 18, 1397, 575, 5327, 13535, 16, 502, 5426, 4275, 412, 3847, 18604, 4364, 376, 6091, 41697, 2692, 5448, 563, 16, 367, 7760, 7388, 11444, 16, 3436, 3612, 16, 19988, 376, 2932, 41697, 3114, 5448, 18, 9639, 1119, 1904, 5848, 16, 2412, 1579, 44659, 15866, 353, 18, 21984, 1864, 379, 4854, 282, 7273, 4267, 46779, 16, 1055, 354, 4854, 281, 13472, 281, 27210, 760, 382, 670, 1830, 373, 1139, 10954, 927, 726, 3210 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9913, 1344, 519, 1032, 443, 29, 308, 19, 267, 18, 981, 25062, 31211, 847, 519, 1409, 5041, 6322, 941, 266, 18, 422, 18, 22000, 4676, 5576, 4590, 8810, 10734, 521, 5368, 18, 385, 9443, 304, 18457, 15969, 17395, 5471, 19976, 16, 367, 11440, 35471, 519, 1715, 33833, 1409, 8725, 6322, 941, 266, 18, 422, 18, 39952, 6197, 8889, 16, 4650, 451, 289, 9839, 17, 12212, 2234, 6978, 519, 1409, 308, 19, 267, 18, 740, 3424, 1803, 303, 540, 305, 16, 428, 16, 9705, 16, 289, 28507, 10552, 11603, 2005, 18, 996, 16, 5426, 840, 376, 2692, 41697, 4234, 5448, 563, 16, 17119, 519, 376, 2932, 5448, 563, 18, 25740, 282, 10666, 16, 1281, 3612, 16, 1556, 818, 382, 24102, 27282, 322, 10585, 4716, 3230, 376, 3114, 41697, 2479, 5448, 563, 18, 23132, 1013, 47213, 467, 30, 24090, 1527, 8811, 322, 15246, 3236, 309, 28214, 2244, 289, 23800, 16699, 1612, 8197, 282, 43156, 2026, 4330, 18, 365, 3765, 309, 12241, 6197, 14838, 522, 3806, 11972, 15969, 20085, 3213, 6017, 16, 289, 3545, 9478, 29319, 1344, 30, 376, 5759, 41697, 3420, 5448, 563, 18, 23544, 16, 3754, 16, 1830, 289, 5211, 451, 16, 515, 23696, 510, 430, 443, 26, 308, 19, 267, 18, 4950, 2023, 16, 374, 2644, 541, 924, 16, 753, 9737, 3124, 282, 396, 7371, 278, 16, 2181, 1924, 18, 18110, 12688, 16, 753, 1759, 45253, 289, 6377, 622, 282, 8036, 24090, 332, 289, 322, 20949, 14075, 541, 9593, 16, 371, 803, 11771, 2495, 24723, 16, 753, 16454, 319, 16, 13750, 282, 10684, 294, 289, 15110, 307, 18, 25965, 539, 8460, 315, 17, 271, 1152, 539, 6017, 3116, 341, 11448, 9413, 27817, 18, 5181, 16, 726, 7760, 23337, 451, 12370, 281, 29776, 29352, 3213, 1137, 5090, 289, 424, 2931, 305, 3304, 9476, 18, 47105, 549, 12412, 567, 12241, 16, 667, 3612, 16, 840, 4004, 416, 541, 478, 409, 45259, 1300, 370, 29314, 12994, 11593, 376, 3114, 41697, 2479, 5448, 563, 18, 35919, 6978, 4783, 1463, 519, 816, 443, 28, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 16, 4813, 309, 43111, 1815, 18457, 2221, 16, 2961, 11465, 510, 10952, 22, 6322, 941, 266, 18, 422, 18, 365, 9937, 16, 1939, 3612, 16, 3187, 2234, 5549, 12146, 282, 694, 28146, 2095, 18457, 4495, 2160, 21758, 521, 16, 5482, 2024, 840, 11392, 1195, 48584, 8464, 18, 981, 25062, 16, 428, 537, 7322, 16, 8633, 2733, 575, 13003, 510, 10952, 22, 6322, 941, 266, 18, 422, 18, 365, 40177, 18457, 15969, 942, 840, 10672, 687, 334, 37649, 536, 8889, 4290, 4304, 289, 3753, 825, 30106, 13535, 18, 27247, 376, 2692, 41697, 4234, 5448, 563, 16, 367, 7760, 376, 4234, 41697, 28, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 816, 443, 28, 308, 19, 267, 18, 385, 3303, 486, 334, 11084, 4275, 412, 9862, 6295, 282, 3507, 289, 1767, 11534, 322, 25190, 18, 31574, 840, 11392, 282, 34033, 4300, 6448, 735, 10250, 18457, 15969, 18, 17942, 523, 19988, 3215, 1269, 16, 289, 282, 12165, 4701, 322, 5285, 928, 6197, 8889, 18, 985, 481, 537, 28528, 1398, 16, 4813, 309, 18457, 2221, 16, 23337, 539, 11440, 840, 18546, 14583, 16, 367, 12412, 16, 7415, 16, 3585, 11120, 18, 385, 11765, 29711, 334, 1574, 43650, 16704, 30990, 322, 1139, 2156, 16, 367, 939, 2156, 16, 374, 2805, 12960, 17882, 16, 785, 3067, 5001, 11801, 11305, 14854, 928, 512, 4220, 9692, 18, 640, 1574, 3022, 2397, 5667, 14316, 281, 1807, 16851, 37100, 16, 827, 912, 16, 670, 1139, 13660, 539, 11260, 289, 16034, 506, 1628, 20367, 282, 9510, 18, 20876, 297, 16, 3695, 3612, 16, 428, 445, 1176, 411, 1110, 2868, 16, 785, 28648, 23696, 8889, 18, 459, 515, 3412, 16, 289, 8785, 549, 13535, 1747, 3716, 11428, 6150, 30, 5426, 376, 2692, 41697, 4234, 5448, 563, 16, 7760, 376, 3420, 41697, 2783, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 816, 443, 28, 308, 19, 267, 18, 981, 25062, 10952, 24, 6322, 941, 266, 18, 422, 18, 385, 317, 20367, 282, 1177, 34426, 1119, 6721, 26758, 6440, 16, 32884, 448, 34500, 16, 11419, 7197, 18055, 44684, 473, 864, 425, 935, 322, 5732, 16, 367, 7369, 323, 16, 5397, 7958, 5842, 282, 26822, 934, 289, 20694, 1073, 1901, 12917, 309, 12753, 18, 7500, 4573, 27917, 5, 365, 10882, 16, 3405, 3612, 16, 2500, 1803, 303, 540, 305, 18, 27247, 376, 1618, 41697, 3940, 5448, 563, 16, 7760, 376, 2692, 41697, 4234, 5448, 563, 18, 640, 2495, 987, 304, 18125, 13768, 24423, 30, 10895, 8018, 1463, 281, 9839, 17, 14099, 434, 309, 4650, 539, 16, 367, 7872, 8633, 1574, 575, 16, 374, 289, 7760, 4419, 18, 10655, 4133, 2549, 539, 11440, 4893, 35471, 510, 519, 1409, 15009, 6322, 941, 266, 18, 422, 18, 12805, 2078, 16, 5139, 5966, 294, 10802, 395, 24628, 16, 2353, 603, 2374, 1954, 360, 6715, 289, 20335, 18, 20516, 318, 16, 1854, 609, 276, 911, 966, 839, 2644, 282, 4722, 15029, 1119, 16, 20647, 4193, 5171, 282, 46915, 12776, 16, 515, 6910, 971, 26270, 322, 687, 39536, 16, 18910, 289, 36793, 18, 25647, 1094, 16, 3703, 3612, 16, 4040, 5216, 7760, 16, 785, 30880, 322, 19988, 16, 1830, 309, 9516, 1747, 19107, 18, 640, 6372, 2822, 349, 28822, 4701, 14829, 11576, 373, 309, 22731, 454, 16885, 6828, 1485, 16, 2686, 411, 17, 431, 20213, 13535, 492, 840, 1965, 284, 538, 293, 2306, 18, 27247, 376, 5493, 41697, 1618, 5448, 563, 16, 7760, 376, 6568, 41697, 3902, 5448, 563, 18, 3791, 1177, 1119, 9271, 9496, 5211, 536, 21706, 519, 1488, 308, 19, 267, 18, 981, 25062, 334, 17, 6093, 20688, 510, 1409, 13539, 6322, 941, 266, 18, 422, 18, 459, 3227, 10562, 4270, 516, 5284, 12504, 451, 16, 515, 7533, 451, 1119, 18, 23544, 2500, 8018, 266, 10895, 473, 324, 9839, 17, 12212, 3589, 13, 289, 7872, 473, 660, 1409, 308, 19, 267, 814, 439, 1215, 23337, 451, 4328, 749, 9713, 510, 1409, 15009, 6322, 941, 266, 18, 422, 18, 1397, 575, 5327, 13535, 16, 502, 5426, 4275, 412, 3847, 18604, 4364, 376, 6091, 41697, 2692, 5448, 563, 16, 367, 7760, 7388, 11444, 16, 3436, 3612, 16, 19988, 376, 2932, 41697, 3114, 5448, 18, 9639, 1119, 1904, 5848, 16, 2412, 1579, 44659, 15866, 353, 18, 21984, 1864, 379, 4854, 282, 7273, 4267, 46779, 16, 1055, 354, 4854, 281, 13472, 281, 27210, 760, 382, 670, 1830, 373, 1139, 10954, 927, 726, 3210 ]
[ 14664, 454, 16, 322, 24196, 18375, 3990, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 1714, 5902, 404, 14968, 1551, 1195, 29108, 15037, 1428, 4309, 24624, 7838, 718, 16, 329, 2024, 371, 1684, 2557, 898, 23076, 2364, 5600, 6702, 281, 478, 16493, 6871, 496, 470, 322, 687, 309, 529, 20552, 831, 47725, 6516, 16, 515, 289, 34688, 11662, 420, 262, 4671, 1528, 1602, 307, 289, 7620, 38807, 624, 282, 9893, 18, 2263, 17627, 5367, 33978, 305, 16, 374, 44765, 18027, 3564, 36915, 18, 31224, 30, 677, 1714, 5902, 404, 14968, 6652, 539, 6612, 564, 334, 6619, 290, 901, 452, 6702, 329, 24624, 40270, 18, 640, 7504, 1119, 8165, 282, 12564, 19341, 41197, 14267, 18, 365, 4542, 13516, 745, 13737, 16, 374, 8851, 15037, 1428, 320, 24624, 40270, 3551, 1412, 23385, 599, 426, 49516, 329, 965, 8120, 448, 6549, 281, 44226, 761, 478, 272, 32071, 649, 910, 3110, 7813, 1162, 14207, 2109, 3886, 69, 18, 25017, 40178, 510, 20320, 6233, 1714, 5902, 324, 510, 13737, 282, 12564, 16, 374, 282, 4542, 1684, 820, 282, 4122, 9798, 15037, 1428, 665, 24624, 40270, 639, 9884, 47525, 1143, 5600, 6702, 18, 478, 46574, 329, 23385, 599, 426, 656, 6371, 2364, 5600, 19510, 16, 24153, 289, 6962, 2664, 349, 42845, 3564, 36915, 910, 510, 3828, 23019, 11662, 20620, 2776, 326, 18, 15940, 742, 6233, 39206, 315, 744, 6258, 20176, 5692, 30, 478, 15995, 764, 898, 24418, 399, 6728, 6549, 18, 640, 2456, 2463, 1122, 639, 2319, 1143, 19510, 16, 828, 28744, 282, 8372, 861, 2949, 978, 17774, 13737, 16, 374, 6371, 764, 289, 8379, 16, 34688, 9798, 7638, 17, 2589, 9893, 11662, 420, 262, 4671, 1528, 1602, 307, 289, 7032, 38807, 680, 44876, 18, 5043, 16, 870, 6549, 32233, 898, 322, 33102, 18, 7042, 8379, 898, 9565, 318, 9771, 41010, 496, 20445, 18, 2949, 978, 17774, 6371, 31166, 309, 3417, 4500, 18, 7307, 16, 24157, 3359, 309, 3499, 3564, 36915, 16, 14867, 583, 5141, 368, 289, 2402, 3450, 11094, 668, 6931, 18, 3551, 1412, 23385, 599, 426, 11661, 16, 374, 478, 600, 937, 470, 1210, 16175, 329, 1047, 4371, 4552, 1100, 30256, 1528, 578, 675, 1665, 321, 377, 18, 640, 9185, 1967, 19510, 32153, 842, 971, 6463, 6931, 478, 15609, 5180, 355, 466, 662, 30, 9266, 448, 7792, 41010, 354, 20445, 910, 6489, 7539, 282, 11366, 4018, 779, 18, 740, 1215, 282, 901, 452, 4556, 16, 13902, 289, 4135, 11350, 17, 343, 788, 1428, 320, 2202, 1954, 9473, 18, 824, 505, 3163, 16, 309, 3705, 975, 3219, 13243, 4823, 24250, 4556, 16, 290, 31923, 2843, 492, 1329, 322, 3365, 16, 367, 31166, 757, 7280, 30798, 1938, 281, 1807, 16, 785, 16576, 271, 477, 6692, 6549, 18, 10324, 30501, 20320, 13737, 282, 12564, 16, 374, 773, 7863, 20418, 26890, 13304, 281, 4434, 12414, 1116, 289, 505, 18283, 18, 365, 1078, 309, 481, 3551, 1412, 23385, 599, 426, 16, 1029, 1038, 30533, 309, 11073, 16, 29325, 695, 5569, 18, 20346, 492, 3153, 282, 12564, 16, 374, 281, 1498, 4702, 30413, 1011, 24164, 18, 23385, 599, 426, 12698, 16, 374, 1011, 24164, 282, 3178, 17736, 2868, 505, 21918, 282, 21107, 416, 23830, 16, 282, 1754, 478, 356, 935, 322, 757, 683, 2133, 2038, 861, 2949, 978, 16, 334, 3163, 15037, 1428, 665, 16, 282, 23830, 3857, 22345, 1405, 16, 13017, 329, 1047, 13029, 18238, 24733, 18, 3791, 23385, 599, 426, 49756, 16, 374, 505, 13747, 749, 27009, 282, 4698, 3765, 18, 1591, 12241, 309, 11073, 5129, 23385, 599, 426, 1109, 16, 374, 5273, 965, 30143, 322, 282, 901, 452, 281, 360, 8758, 413, 4857, 7482, 353, 16, 367, 282, 20232, 2431, 9556, 339, 3564, 36915, 18, 478, 1358, 11503, 16789, 349, 502, 16, 374, 44765, 18027, 24624, 16, 2024, 417, 6540, 428, 4576, 910, 510, 3828, 492, 18, 3551, 1412, 23385, 599, 426, 685, 20817, 3703, 3598, 16, 282, 13186, 505, 34309, 424, 27503, 11923, 18, 6158, 1195, 1498, 12543, 4518, 3597, 18, 27695, 1714, 5902, 324, 5819, 1633, 405, 29144, 11911, 3828, 16, 374, 10566, 23385, 599, 426, 840, 10954, 286, 282, 11877, 18, 1178, 1551, 26136, 9798, 3839, 23392, 3564, 36915, 30143, 16, 975, 16684, 2846, 779, 16886, 18, 2046, 282, 9893, 322, 5285, 5832, 16, 374, 8490, 46968, 852, 41267, 30551, 1086, 23385, 599, 426, 18, 2, 1, 87, 1456, 81, 2448, 30, 21357, 273, 28456, 40394, 281, 5174, 8300, 17799, 478, 40176, 9058, 267, 861, 365, 3239, 22028, 2854, 10722, 42398, 4966, 9540, 31137, 645, 10171, 13145, 4671, 307, 504, 931, 320, 419, 1832, 18, 365, 25881, 11258, 42361, 478, 40176, 9058, 267, 470, 28365, 538, 2846, 14248, 282, 4256, 21273, 32671, 7561, 18, 31224, 30, 8706, 23580, 451, 16628, 42361, 8900, 17, 11622, 19, 4234, 687, 41905, 16, 515, 726, 10473, 18815, 7732, 9680, 1162, 8337, 343, 18, 44323, 1323, 481, 282, 19280, 17, 46013, 16, 988, 282, 16294, 477, 1728, 5174, 685, 29053, 6548, 9680, 478, 40176, 9058, 267, 470, 22004, 28456, 18, 1367, 803, 3828, 12117, 4788, 2261, 17, 812, 7113, 17793, 42361, 18, 478, 4441, 639, 48121, 289, 3770, 21008, 3003, 16, 2815, 334, 2856, 5083, 18165, 21719, 7586, 10476, 283, 13356, 19751, 18, 510, 22004, 939, 1854, 13159, 743, 289, 12817, 6619, 16, 515, 656, 45691, 16, 374, 282, 7878, 18247, 4966, 840, 19861, 481, 14909, 1314, 18, 1345, 13812, 277, 8885, 4809, 343, 289, 505, 8219, 282, 5969, 7586, 16, 367, 1038, 50089, 975, 289, 505, 6598, 1223, 20265, 1081, 861, 985, 5130, 282, 17292, 9907, 16, 365, 3239, 22028, 2854, 10722, 1559, 31137, 645, 10171, 13145, 4671, 307, 504, 931, 320, 419, 1832, 16, 515, 9770, 726, 19010, 305, 294, 8203, 395, 4090, 8300, 17799, 18, 14743, 1542, 8337, 343, 289, 13132, 453, 7885, 651, 478, 40176, 9058, 267, 470, 10469, 18908, 1223, 2852, 16287, 32671, 7561, 16, 510, 678, 906, 3147, 18604, 344, 2749, 18, 478, 37165, 274, 448, 470, 411, 4170, 6994, 4702, 4732, 9518, 16, 42969, 411, 4256, 18653, 1385, 12496, 523, 2846, 289, 1441, 21860, 5975, 1756, 282, 17370, 9964, 18, 478, 40176, 9058, 267, 470, 898, 316, 5782, 478, 822, 300, 1145, 304, 910, 478, 45065, 637, 3663, 910, 478, 4298, 2840, 470, 289, 13337, 5925, 7739, 3317, 411, 478, 684, 13566, 872, 267, 861, 439, 15998, 16410, 906, 10313, 626, 324, 1195, 478, 29392, 932, 496, 470, 510, 2059, 411, 2903, 973, 3541, 42361, 7426, 986, 18, 1178 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14664, 454, 16, 322, 24196, 18375, 3990, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 1714, 5902, 404, 14968, 1551, 1195, 29108, 15037, 1428, 4309, 24624, 7838, 718, 16, 329, 2024, 371, 1684, 2557, 898, 23076, 2364, 5600, 6702, 281, 478, 16493, 6871, 496, 470, 322, 687, 309, 529, 20552, 831, 47725, 6516, 16, 515, 289, 34688, 11662, 420, 262, 4671, 1528, 1602, 307, 289, 7620, 38807, 624, 282, 9893, 18, 2263, 17627, 5367, 33978, 305, 16, 374, 44765, 18027, 3564, 36915, 18, 31224, 30, 677, 1714, 5902, 404, 14968, 6652, 539, 6612, 564, 334, 6619, 290, 901, 452, 6702, 329, 24624, 40270, 18, 640, 7504, 1119, 8165, 282, 12564, 19341, 41197, 14267, 18, 365, 4542, 13516, 745, 13737, 16, 374, 8851, 15037, 1428, 320, 24624, 40270, 3551, 1412, 23385, 599, 426, 49516, 329, 965, 8120, 448, 6549, 281, 44226, 761, 478, 272, 32071, 649, 910, 3110, 7813, 1162, 14207, 2109, 3886, 69, 18, 25017, 40178, 510, 20320, 6233, 1714, 5902, 324, 510, 13737, 282, 12564, 16, 374, 282, 4542, 1684, 820, 282, 4122, 9798, 15037, 1428, 665, 24624, 40270, 639, 9884, 47525, 1143, 5600, 6702, 18, 478, 46574, 329, 23385, 599, 426, 656, 6371, 2364, 5600, 19510, 16, 24153, 289, 6962, 2664, 349, 42845, 3564, 36915, 910, 510, 3828, 23019, 11662, 20620, 2776, 326, 18, 15940, 742, 6233, 39206, 315, 744, 6258, 20176, 5692, 30, 478, 15995, 764, 898, 24418, 399, 6728, 6549, 18, 640, 2456, 2463, 1122, 639, 2319, 1143, 19510, 16, 828, 28744, 282, 8372, 861, 2949, 978, 17774, 13737, 16, 374, 6371, 764, 289, 8379, 16, 34688, 9798, 7638, 17, 2589, 9893, 11662, 420, 262, 4671, 1528, 1602, 307, 289, 7032, 38807, 680, 44876, 18, 5043, 16, 870, 6549, 32233, 898, 322, 33102, 18, 7042, 8379, 898, 9565, 318, 9771, 41010, 496, 20445, 18, 2949, 978, 17774, 6371, 31166, 309, 3417, 4500, 18, 7307, 16, 24157, 3359, 309, 3499, 3564, 36915, 16, 14867, 583, 5141, 368, 289, 2402, 3450, 11094, 668, 6931, 18, 3551, 1412, 23385, 599, 426, 11661, 16, 374, 478, 600, 937, 470, 1210, 16175, 329, 1047, 4371, 4552, 1100, 30256, 1528, 578, 675, 1665, 321, 377, 18, 640, 9185, 1967, 19510, 32153, 842, 971, 6463, 6931, 478, 15609, 5180, 355, 466, 662, 30, 9266, 448, 7792, 41010, 354, 20445, 910, 6489, 7539, 282, 11366, 4018, 779, 18, 740, 1215, 282, 901, 452, 4556, 16, 13902, 289, 4135, 11350, 17, 343, 788, 1428, 320, 2202, 1954, 9473, 18, 824, 505, 3163, 16, 309, 3705, 975, 3219, 13243, 4823, 24250, 4556, 16, 290, 31923, 2843, 492, 1329, 322, 3365, 16, 367, 31166, 757, 7280, 30798, 1938, 281, 1807, 16, 785, 16576, 271, 477, 6692, 6549, 18, 10324, 30501, 20320, 13737, 282, 12564, 16, 374, 773, 7863, 20418, 26890, 13304, 281, 4434, 12414, 1116, 289, 505, 18283, 18, 365, 1078, 309, 481, 3551, 1412, 23385, 599, 426, 16, 1029, 1038, 30533, 309, 11073, 16, 29325, 695, 5569, 18, 20346, 492, 3153, 282, 12564, 16, 374, 281, 1498, 4702, 30413, 1011, 24164, 18, 23385, 599, 426, 12698, 16, 374, 1011, 24164, 282, 3178, 17736, 2868, 505, 21918, 282, 21107, 416, 23830, 16, 282, 1754, 478, 356, 935, 322, 757, 683, 2133, 2038, 861, 2949, 978, 16, 334, 3163, 15037, 1428, 665, 16, 282, 23830, 3857, 22345, 1405, 16, 13017, 329, 1047, 13029, 18238, 24733, 18, 3791, 23385, 599, 426, 49756, 16, 374, 505, 13747, 749, 27009, 282, 4698, 3765, 18, 1591, 12241, 309, 11073, 5129, 23385, 599, 426, 1109, 16, 374, 5273, 965, 30143, 322, 282, 901, 452, 281, 360, 8758, 413, 4857, 7482, 353, 16, 367, 282, 20232, 2431, 9556, 339, 3564, 36915, 18, 478, 1358, 11503, 16789, 349, 502, 16, 374, 44765, 18027, 24624, 16, 2024, 417, 6540, 428, 4576, 910, 510, 3828, 492, 18, 3551, 1412, 23385, 599, 426, 685, 20817, 3703, 3598, 16, 282, 13186, 505, 34309, 424, 27503, 11923, 18, 6158, 1195, 1498, 12543, 4518, 3597, 18, 27695, 1714, 5902, 324, 5819, 1633, 405, 29144, 11911, 3828, 16, 374, 10566, 23385, 599, 426, 840, 10954, 286, 282, 11877, 18, 1178, 1551, 26136, 9798, 3839, 23392, 3564, 36915, 30143, 16, 975, 16684, 2846, 779, 16886, 18, 2046, 282, 9893, 322, 5285, 5832, 16, 374, 8490, 46968, 852, 41267, 30551, 1086, 23385, 599, 426, 18, 2, 1, 87, 1456, 81, 2448, 30, 21357, 273, 28456, 40394, 281, 5174, 8300, 17799, 478, 40176, 9058, 267, 861, 365, 3239, 22028, 2854, 10722, 42398, 4966, 9540, 31137, 645, 10171, 13145, 4671, 307, 504, 931, 320, 419, 1832, 18, 365, 25881, 11258, 42361, 478, 40176, 9058, 267, 470, 28365, 538, 2846, 14248, 282, 4256, 21273, 32671, 7561, 18, 31224, 30, 8706, 23580, 451, 16628, 42361, 8900, 17, 11622, 19, 4234, 687, 41905, 16, 515, 726, 10473, 18815, 7732, 9680, 1162, 8337, 343, 18, 44323, 1323, 481, 282, 19280, 17, 46013, 16, 988, 282, 16294, 477, 1728, 5174, 685, 29053, 6548, 9680, 478, 40176, 9058, 267, 470, 22004, 28456, 18, 1367, 803, 3828, 12117, 4788, 2261, 17, 812, 7113, 17793, 42361, 18, 478, 4441, 639, 48121, 289, 3770, 21008, 3003, 16, 2815, 334, 2856, 5083, 18165, 21719, 7586, 10476, 283, 13356, 19751, 18, 510, 22004, 939, 1854, 13159, 743, 289, 12817, 6619, 16, 515, 656, 45691, 16, 374, 282, 7878, 18247, 4966, 840, 19861, 481, 14909, 1314, 18, 1345, 13812, 277, 8885, 4809, 343, 289, 505, 8219, 282, 5969, 7586, 16, 367, 1038, 50089, 975, 289, 505, 6598, 1223, 20265, 1081, 861, 985, 5130, 282, 17292, 9907, 16, 365, 3239, 22028, 2854, 10722, 1559, 31137, 645, 10171, 13145, 4671, 307, 504, 931, 320, 419, 1832, 16, 515, 9770, 726, 19010, 305, 294, 8203, 395, 4090, 8300, 17799, 18, 14743, 1542, 8337, 343, 289, 13132, 453, 7885, 651, 478, 40176, 9058, 267, 470, 10469, 18908, 1223, 2852, 16287, 32671, 7561, 16, 510, 678, 906, 3147, 18604, 344, 2749, 18, 478, 37165, 274, 448, 470, 411, 4170, 6994, 4702, 4732, 9518, 16, 42969, 411, 4256, 18653, 1385, 12496, 523, 2846, 289, 1441, 21860, 5975, 1756, 282, 17370, 9964, 18, 478, 40176, 9058, 267, 470, 898, 316, 5782, 478, 822, 300, 1145, 304, 910, 478, 45065, 637, 3663, 910, 478, 4298, 2840, 470, 289, 13337, 5925, 7739, 3317, 411, 478, 684, 13566, 872, 267, 861, 439, 15998, 16410, 906, 10313, 626, 324, 1195, 478, 29392, 932, 496, 470, 510, 2059, 411, 2903, 973, 3541, 42361, 7426, 986, 18, 1178 ]
[ 23697, 16, 374, 475, 529, 43535, 448, 26070, 1038, 898, 11932, 318, 16, 502, 12030, 289, 21467, 8874, 749, 28414, 11306, 18, 24734, 968, 8947, 3878, 5296, 4966, 1320, 19229, 32778, 15477, 18, 403, 7555, 16, 827, 764, 5548, 5222, 478, 40176, 9058, 267, 470, 403, 16892, 18357, 2128, 4445, 309, 965, 42826, 3111, 360, 3247, 10171, 13145, 289, 13217, 1514, 49991, 1876, 1768, 34412, 16, 502, 282, 16876, 8267, 281, 478, 4298, 2840, 470, 726, 583, 1514, 7595, 3887, 300, 23716, 9680, 680, 27725, 726, 9798, 42398, 18, 11966, 16, 17111, 411, 1223, 3230, 511, 1163, 2198, 16, 9770, 7586, 289, 27554, 13095, 2837, 3003, 16, 13428, 26692, 10434, 10421, 4314, 32128, 2977, 18, 385, 28545, 520, 481, 16, 656, 28511, 282, 10264, 808, 651, 726, 282, 11877, 5413, 334, 3507, 478, 40176, 9058, 267, 470, 16004, 6940, 10133, 32671, 7561, 1279, 478, 21837, 2895, 1845, 4013, 266, 861, 22004, 28456, 21253, 3738, 2688, 1392, 411, 19280, 17, 32525, 507, 282, 4440, 1045, 1011, 14631, 726, 941, 3002, 33240, 434, 17799, 478, 49974, 432, 470, 29830, 4468, 3646, 853, 18, 385, 505, 10325, 29074, 2919, 12156, 16, 374, 492, 5304, 15092, 34725, 17649, 478, 40176, 9058, 267, 470, 3915, 6383, 17, 292, 5521, 18, 640, 2083, 21546, 282, 2590, 478, 49974, 432, 470, 28456, 27322, 3348, 411, 3322, 46688, 289, 46696, 45593, 11908, 18, 817, 2780, 9680, 2127, 14261, 282, 6383, 1045, 282, 3968, 1484, 25591, 8300, 17799, 478, 23739, 17, 5853, 14712, 262, 470, 6211, 297, 486, 33773, 4254, 1624, 367, 282, 6982, 1045, 726, 7557, 21253, 3216, 42361, 651, 478, 684, 3431, 16929, 11083, 433, 23682, 861, 985, 445, 28456, 289, 10587, 26877, 9667, 10060, 49907, 10084, 37694, 1624, 3592, 743, 2651, 5199, 4966, 2917, 1047, 18, 889, 42517, 21330, 30, 282, 5895, 1045, 478, 684, 3431, 16929, 470, 4424, 281, 10013, 779, 4223, 282, 22979, 17, 21131, 16, 282, 5653, 1045, 478, 684, 1083, 433, 23682, 470, 14725, 282, 23376, 16, 367, 282, 11258, 17, 18777, 19, 18003, 34447, 6576, 451, 16628, 18, 3529, 575, 28456, 289, 3619, 14015, 15477, 17799, 779, 282, 42361, 18, 15712, 285, 14084, 478, 684, 3431, 16929, 470, 282, 11366, 4479, 779, 16, 1011, 14248, 1110, 1215, 478, 20181, 31799, 470, 282, 22979, 17, 21131, 18, 385, 2107, 1963, 16, 5842, 29842, 2596, 21356, 28456, 322, 15018, 16, 1696, 1011, 978, 8900, 49907, 1368, 19885, 15732, 282, 478, 21357, 1134, 910, 367, 478, 684, 3431, 16929, 470, 4167, 282, 25883, 11178, 476, 2244, 18389, 18, 7200, 9518, 4809, 343, 10171, 13145, 282, 478, 1098, 397, 17, 43469, 13461, 9058, 267, 470, 20975, 16813, 1310, 536, 16, 428, 289, 329, 1888, 23904, 651, 411, 17, 431, 38484, 29873, 18, 478, 37165, 274, 448, 470, 39704, 751, 322, 7071, 48538, 23728, 16, 428, 371, 4468, 3646, 913, 1624, 515, 475, 3066, 21648, 1852, 4027, 353, 25246, 11624, 13104, 40657, 289, 13898, 18326, 1756, 282, 9964, 334, 8872, 32671, 7561, 18, 4663, 3971, 282, 22979, 17, 21131, 13743, 2195, 282, 23708, 962, 17370, 9964, 16, 785, 478, 40176, 9058, 267, 470, 898, 316, 5782, 28492, 1481, 489, 1027, 478, 630, 2561, 3792, 323, 17, 34519, 861, 6290, 2411, 496, 20420, 7561, 13236, 915, 883, 873, 5684, 22940, 19337, 1070, 18, 18110, 7818, 1472, 3499, 8583, 686, 354, 768, 48890, 367, 16, 753, 3670, 16, 5870, 1904, 334, 49224, 43373, 9383, 13518, 7586, 282, 6190, 43535, 1919, 18, 2046, 2174, 33063, 26285, 31919, 6441, 651, 20113, 16355, 1262, 478, 40176, 9058, 267, 470, 1055, 1139, 322, 13173, 16, 428, 773, 1441, 8714, 1974, 18, 1178, 3255, 475, 639, 8622, 651, 349, 5199, 11218, 9904, 687, 1176, 18357, 2128, 16, 1441, 16, 281, 39067, 4090, 15465, 21188, 9904, 1174, 7723, 360, 924, 16, 374, 403, 16892, 289, 768, 48890, 322, 1698, 3089, 11959, 5075, 18, 5043, 16, 870, 3586, 10412, 11291, 726, 15324, 11620, 3033, 7586, 16, 367, 39172, 10171, 13145, 745, 1143, 322, 1747, 25712, 319, 18, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 42361, 18, 2, 1, 87, 1456, 81, 2448, 30, 6889, 24303, 14262, 17344, 281, 37908, 323, 16, 1435, 4028, 478, 21608, 31771, 3213, 778, 470, 1568, 16, 19740, 519, 13453, 17737, 290, 31174, 11630, 18, 6096, 42843, 4848, 381, 16522, 636, 32837, 9541, 17, 436, 7805, 287, 16, 26280, 648, 507, 11088, 18524, 5250, 16, 349, 19077, 16, 10180, 6954, 924, 282, 1562, 10739, 950, 18, 37188, 10824, 16, 4723, 329, 1047, 2764, 309, 39244, 448, 12407, 936, 16, 289, 29817, 8448, 876, 4276, 16, 753, 478, 26707, 323, 360, 40775, 368, 322, 17463, 505, 2533, 861, 31224, 30, 16443, 355, 42843, 1624, 1279, 2024, 309, 17032, 639, 5709, 1569, 18326, 11969, 1743, 16, 21949, 282, 3177, 1258, 2997, 3059, 1624, 282, 2114, 16308, 364, 9541, 17, 436, 7805, 287, 16934, 11088, 18524, 15441, 367, 282, 478, 271, 675, 418, 400, 470, 289, 478, 326, 3347, 263, 950, 861, 13028, 317, 320, 25757, 7332, 24741, 20691, 290, 16615, 5361, 482, 289, 36777, 2712, 697, 35965, 411, 1354, 505, 32837, 16, 44221, 282, 18904, 432, 17637, 45703, 349, 19077, 18, 23762, 305, 42843, 281, 924, 16, 374, 912, 1293, 8720, 291, 478, 15786, 420, 2704, 470, 18524, 5250, 30, 492, 1176, 411, 10762, 2632, 5738, 290, 45464, 298, 282, 12462, 16, 1038, 282, 505, 708, 22664, 9363, 5395, 1069, 12925, 1568, 478, 348, 7796, 25499, 292, 910, 492, 34781, 755, 43579, 282, 1568, 290, 24268, 5868, 18, 640, 21673, 18524, 5250, 42843, 9595, 294, 14728, 16, 374, 26280, 648, 1013, 322, 37327, 8125, 1634, 2533, 281, 9609, 18, 40822, 411, 6566, 1634, 32837, 11309, 14212, 309, 44592, 349, 12127, 510, 282, 15243, 289, 16582, 5167, 18, 13028, 317, 665, 7107, 2285, 16, 374, 1177, 5809, 322, 15056, 4407, 552, 2240, 8651, 10744, 30, 478, 25855, 4748, 16, 753, 26410, 8340, 8581, 394, 16, 5318, 294, 47505, 16, 16615, 18376, 4557, 13656, 281, 10623, 289, 898, 47111, 6906, 8165, 19283, 289, 42855, 18473, 18130, 670, 478, 682, 2621, 953, 7816, 8988, 1293, 3139, 282, 8729, 18, 1178, 694, 17642, 1360, 2553, 16, 502, 1943, 475, 1617, 3193, 2196, 1855, 281, 1420, 861, 42843, 44976, 282, 14831, 7005, 1728, 15140, 18, 4707, 6809, 13184, 19781, 484, 309, 12117, 4788, 19883, 680, 5308, 478, 12833, 18904, 432, 2533, 910, 282, 1754, 31806, 2197, 411, 32837, 20691, 510, 15726, 18524, 15441, 18, 1681 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23697, 16, 374, 475, 529, 43535, 448, 26070, 1038, 898, 11932, 318, 16, 502, 12030, 289, 21467, 8874, 749, 28414, 11306, 18, 24734, 968, 8947, 3878, 5296, 4966, 1320, 19229, 32778, 15477, 18, 403, 7555, 16, 827, 764, 5548, 5222, 478, 40176, 9058, 267, 470, 403, 16892, 18357, 2128, 4445, 309, 965, 42826, 3111, 360, 3247, 10171, 13145, 289, 13217, 1514, 49991, 1876, 1768, 34412, 16, 502, 282, 16876, 8267, 281, 478, 4298, 2840, 470, 726, 583, 1514, 7595, 3887, 300, 23716, 9680, 680, 27725, 726, 9798, 42398, 18, 11966, 16, 17111, 411, 1223, 3230, 511, 1163, 2198, 16, 9770, 7586, 289, 27554, 13095, 2837, 3003, 16, 13428, 26692, 10434, 10421, 4314, 32128, 2977, 18, 385, 28545, 520, 481, 16, 656, 28511, 282, 10264, 808, 651, 726, 282, 11877, 5413, 334, 3507, 478, 40176, 9058, 267, 470, 16004, 6940, 10133, 32671, 7561, 1279, 478, 21837, 2895, 1845, 4013, 266, 861, 22004, 28456, 21253, 3738, 2688, 1392, 411, 19280, 17, 32525, 507, 282, 4440, 1045, 1011, 14631, 726, 941, 3002, 33240, 434, 17799, 478, 49974, 432, 470, 29830, 4468, 3646, 853, 18, 385, 505, 10325, 29074, 2919, 12156, 16, 374, 492, 5304, 15092, 34725, 17649, 478, 40176, 9058, 267, 470, 3915, 6383, 17, 292, 5521, 18, 640, 2083, 21546, 282, 2590, 478, 49974, 432, 470, 28456, 27322, 3348, 411, 3322, 46688, 289, 46696, 45593, 11908, 18, 817, 2780, 9680, 2127, 14261, 282, 6383, 1045, 282, 3968, 1484, 25591, 8300, 17799, 478, 23739, 17, 5853, 14712, 262, 470, 6211, 297, 486, 33773, 4254, 1624, 367, 282, 6982, 1045, 726, 7557, 21253, 3216, 42361, 651, 478, 684, 3431, 16929, 11083, 433, 23682, 861, 985, 445, 28456, 289, 10587, 26877, 9667, 10060, 49907, 10084, 37694, 1624, 3592, 743, 2651, 5199, 4966, 2917, 1047, 18, 889, 42517, 21330, 30, 282, 5895, 1045, 478, 684, 3431, 16929, 470, 4424, 281, 10013, 779, 4223, 282, 22979, 17, 21131, 16, 282, 5653, 1045, 478, 684, 1083, 433, 23682, 470, 14725, 282, 23376, 16, 367, 282, 11258, 17, 18777, 19, 18003, 34447, 6576, 451, 16628, 18, 3529, 575, 28456, 289, 3619, 14015, 15477, 17799, 779, 282, 42361, 18, 15712, 285, 14084, 478, 684, 3431, 16929, 470, 282, 11366, 4479, 779, 16, 1011, 14248, 1110, 1215, 478, 20181, 31799, 470, 282, 22979, 17, 21131, 18, 385, 2107, 1963, 16, 5842, 29842, 2596, 21356, 28456, 322, 15018, 16, 1696, 1011, 978, 8900, 49907, 1368, 19885, 15732, 282, 478, 21357, 1134, 910, 367, 478, 684, 3431, 16929, 470, 4167, 282, 25883, 11178, 476, 2244, 18389, 18, 7200, 9518, 4809, 343, 10171, 13145, 282, 478, 1098, 397, 17, 43469, 13461, 9058, 267, 470, 20975, 16813, 1310, 536, 16, 428, 289, 329, 1888, 23904, 651, 411, 17, 431, 38484, 29873, 18, 478, 37165, 274, 448, 470, 39704, 751, 322, 7071, 48538, 23728, 16, 428, 371, 4468, 3646, 913, 1624, 515, 475, 3066, 21648, 1852, 4027, 353, 25246, 11624, 13104, 40657, 289, 13898, 18326, 1756, 282, 9964, 334, 8872, 32671, 7561, 18, 4663, 3971, 282, 22979, 17, 21131, 13743, 2195, 282, 23708, 962, 17370, 9964, 16, 785, 478, 40176, 9058, 267, 470, 898, 316, 5782, 28492, 1481, 489, 1027, 478, 630, 2561, 3792, 323, 17, 34519, 861, 6290, 2411, 496, 20420, 7561, 13236, 915, 883, 873, 5684, 22940, 19337, 1070, 18, 18110, 7818, 1472, 3499, 8583, 686, 354, 768, 48890, 367, 16, 753, 3670, 16, 5870, 1904, 334, 49224, 43373, 9383, 13518, 7586, 282, 6190, 43535, 1919, 18, 2046, 2174, 33063, 26285, 31919, 6441, 651, 20113, 16355, 1262, 478, 40176, 9058, 267, 470, 1055, 1139, 322, 13173, 16, 428, 773, 1441, 8714, 1974, 18, 1178, 3255, 475, 639, 8622, 651, 349, 5199, 11218, 9904, 687, 1176, 18357, 2128, 16, 1441, 16, 281, 39067, 4090, 15465, 21188, 9904, 1174, 7723, 360, 924, 16, 374, 403, 16892, 289, 768, 48890, 322, 1698, 3089, 11959, 5075, 18, 5043, 16, 870, 3586, 10412, 11291, 726, 15324, 11620, 3033, 7586, 16, 367, 39172, 10171, 13145, 745, 1143, 322, 1747, 25712, 319, 18, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 42361, 18, 2, 1, 87, 1456, 81, 2448, 30, 6889, 24303, 14262, 17344, 281, 37908, 323, 16, 1435, 4028, 478, 21608, 31771, 3213, 778, 470, 1568, 16, 19740, 519, 13453, 17737, 290, 31174, 11630, 18, 6096, 42843, 4848, 381, 16522, 636, 32837, 9541, 17, 436, 7805, 287, 16, 26280, 648, 507, 11088, 18524, 5250, 16, 349, 19077, 16, 10180, 6954, 924, 282, 1562, 10739, 950, 18, 37188, 10824, 16, 4723, 329, 1047, 2764, 309, 39244, 448, 12407, 936, 16, 289, 29817, 8448, 876, 4276, 16, 753, 478, 26707, 323, 360, 40775, 368, 322, 17463, 505, 2533, 861, 31224, 30, 16443, 355, 42843, 1624, 1279, 2024, 309, 17032, 639, 5709, 1569, 18326, 11969, 1743, 16, 21949, 282, 3177, 1258, 2997, 3059, 1624, 282, 2114, 16308, 364, 9541, 17, 436, 7805, 287, 16934, 11088, 18524, 15441, 367, 282, 478, 271, 675, 418, 400, 470, 289, 478, 326, 3347, 263, 950, 861, 13028, 317, 320, 25757, 7332, 24741, 20691, 290, 16615, 5361, 482, 289, 36777, 2712, 697, 35965, 411, 1354, 505, 32837, 16, 44221, 282, 18904, 432, 17637, 45703, 349, 19077, 18, 23762, 305, 42843, 281, 924, 16, 374, 912, 1293, 8720, 291, 478, 15786, 420, 2704, 470, 18524, 5250, 30, 492, 1176, 411, 10762, 2632, 5738, 290, 45464, 298, 282, 12462, 16, 1038, 282, 505, 708, 22664, 9363, 5395, 1069, 12925, 1568, 478, 348, 7796, 25499, 292, 910, 492, 34781, 755, 43579, 282, 1568, 290, 24268, 5868, 18, 640, 21673, 18524, 5250, 42843, 9595, 294, 14728, 16, 374, 26280, 648, 1013, 322, 37327, 8125, 1634, 2533, 281, 9609, 18, 40822, 411, 6566, 1634, 32837, 11309, 14212, 309, 44592, 349, 12127, 510, 282, 15243, 289, 16582, 5167, 18, 13028, 317, 665, 7107, 2285, 16, 374, 1177, 5809, 322, 15056, 4407, 552, 2240, 8651, 10744, 30, 478, 25855, 4748, 16, 753, 26410, 8340, 8581, 394, 16, 5318, 294, 47505, 16, 16615, 18376, 4557, 13656, 281, 10623, 289, 898, 47111, 6906, 8165, 19283, 289, 42855, 18473, 18130, 670, 478, 682, 2621, 953, 7816, 8988, 1293, 3139, 282, 8729, 18, 1178, 694, 17642, 1360, 2553, 16, 502, 1943, 475, 1617, 3193, 2196, 1855, 281, 1420, 861, 42843, 44976, 282, 14831, 7005, 1728, 15140, 18, 4707, 6809, 13184, 19781, 484, 309, 12117, 4788, 19883, 680, 5308, 478, 12833, 18904, 432, 2533, 910, 282, 1754, 31806, 2197, 411, 32837, 20691, 510, 15726, 18524, 15441, 18, 1681 ]
[ 7755, 6096, 42843, 13765, 305, 20687, 281, 4600, 16, 309, 1754, 48820, 12333, 382, 16231, 18, 1681, 2059, 411, 1129, 20133, 30, 478, 992, 6142, 324, 18524, 15441, 861, 4707, 6809, 13184, 1038, 17029, 6134, 8202, 282, 6648, 30, 491, 16, 24, 3763, 2791, 18, 10512, 1712, 6304, 20691, 25486, 16, 5301, 42843, 16, 1320, 34993, 282, 19883, 680, 6648, 16, 1011, 1660, 23735, 282, 8854, 282, 14109, 18, 42843, 13765, 305, 830, 2440, 301, 370, 12186, 17382, 2047, 282, 8752, 5324, 10249, 16, 988, 282, 1362, 2800, 478, 2134, 1700, 470, 40702, 8854, 33122, 22096, 7160, 593, 12613, 18, 824, 3761, 8448, 26932, 16, 11125, 282, 803, 13785, 2353, 1286, 3161, 2634, 2791, 282, 1205, 18, 1268, 4612, 40979, 322, 10956, 289, 20662, 6304, 28585, 18, 817, 14268, 18899, 309, 17470, 6556, 478, 24073, 910, 988, 678, 13765, 305, 8234, 281, 42845, 478, 26577, 434, 22322, 933, 6961, 289, 322, 687, 861, 3791, 8448, 13184, 15875, 10680, 46444, 30, 478, 1295, 26440, 19909, 15243, 5, 1483, 16669, 31009, 16110, 5343, 5, 629, 29897, 2002, 322, 3524, 3058, 4170, 289, 537, 290, 828, 322, 37698, 13, 11568, 987, 968, 6910, 861, 4541, 8448, 13184, 21473, 294, 6861, 4407, 552, 16, 6557, 2728, 505, 14461, 18, 478, 24569, 274, 334, 505, 35138, 16, 492, 29410, 939, 45078, 16, 2402, 2035, 7994, 2487, 3044, 87, 12316, 5982, 91, 12316, 18, 7200, 43920, 2110, 2487, 3044, 87, 12316, 5982, 91, 12316, 6181, 309, 5554, 547, 11338, 282, 6835, 17, 17553, 282, 11525, 336, 18, 20363, 343, 8974, 11371, 27297, 18, 6682, 2287, 2634, 1135, 1904, 2341, 7069, 11673, 4150, 16427, 31944, 1177, 5554, 541, 1634, 4150, 1437, 18, 12167, 289, 3560, 24039, 5554, 2487, 3044, 87, 12316, 5982, 91, 12316, 16, 6874, 29704, 282, 2180, 7292, 17248, 298, 334, 28629, 15289, 21840, 3320, 8918, 860, 3565, 2148, 716, 715, 3016, 444, 47172, 22390, 16, 685, 1103, 363, 282, 31983, 17, 38114, 1212, 11294, 962, 48762, 14818, 42110, 19340, 349, 45439, 2634, 4662, 18, 15145, 10965, 283, 28395, 4271, 510, 6463, 8448, 13184, 16, 36389, 309, 31481, 1066, 290, 49189, 18, 824, 3761, 40979, 16, 11309, 18524, 15441, 1038, 23414, 32720, 1185, 4656, 1072, 1075, 60, 23256, 23786, 491, 16, 28, 3763, 2791, 289, 5512, 2758, 2661, 16, 17437, 8417, 1639, 4896, 1032, 7703, 16, 26, 9608, 18, 308, 18, 365, 2343, 8623, 6096, 42843, 41274, 2712, 475, 39610, 16, 1576, 7892, 16, 374, 12117, 4388, 18524, 5250, 4896, 816, 16, 25, 3763, 2791, 18, 824, 3352, 8448, 26932, 16, 16172, 11309, 30586, 349, 11125, 32837, 1032, 16, 23, 3763, 2791, 18, 42843, 14835, 2157, 305, 4407, 552, 13547, 309, 33713, 1070, 2689, 2855, 5781, 2533, 16, 3482, 31077, 282, 19862, 41278, 309, 478, 436, 711, 368, 9020, 3213, 718, 910, 1029, 18524, 15441, 21161, 18, 478, 3001, 583, 19668, 2533, 349, 12127, 14212, 16, 515, 6996, 40911, 20789, 16, 5332, 5608, 17, 299, 32024, 3437, 11884, 20368, 345, 419, 16, 7073, 1352, 282, 7149, 432, 28617, 1165, 289, 411, 11840, 49499, 1472, 914, 38442, 770, 282, 1281, 986, 16, 349, 12127, 42807, 910, 510, 7107, 3935, 14831, 320, 18, 16577, 1293, 3139, 4210, 18524, 15441, 17684, 478, 635, 8764, 766, 470, 40979, 309, 1360, 7759, 282, 10249, 18, 48340, 6503, 8448, 26932, 282, 970, 16, 374, 1500, 478, 560, 9572, 309, 1047, 289, 505, 2533, 329, 10661, 1422, 512, 910, 11309, 14091, 1728, 21680, 1321, 30, 478, 6161, 3379, 3857, 3073, 16, 374, 2917, 6994, 2582, 16, 15647, 4854, 16, 895, 5869, 510, 1012, 5433, 478, 28655, 1279, 389, 6037, 434, 289, 41692, 434, 492, 289, 505, 7193, 309, 703, 322, 6371, 16, 2391, 6096, 3508, 12676, 31864, 607, 12270, 289, 393, 896, 307, 9335, 281, 20893, 16, 1276, 48946, 282, 20511, 49594, 910, 510, 453, 22246, 18524, 15441, 36004, 542, 40979, 18, 9263, 11309, 30395, 15463, 1794, 717, 4574, 622, 30224, 523, 282, 1595, 4459, 18, 817, 13744, 16, 374, 282, 8583, 597, 492, 5053, 281, 9515, 35585, 8840, 22128, 2241, 478, 27296, 267, 439, 487, 1620, 910, 988, 505, 1372, 478, 8412, 49042, 3872, 33505, 910, 289, 3619, 2019, 539, 31861, 282, 1293, 13289, 5752, 2791, 16, 281, 1639, 492, 35233, 24075, 18, 478, 30991, 475, 2886, 448, 289, 322, 20572, 411, 5604, 917, 14943, 16, 935, 827, 697, 5134, 309, 16940, 16, 784, 898, 334, 43966, 18, 2876, 475, 39349, 334, 5083, 4158, 11244, 289, 4076, 309, 11125, 2533, 1794, 717, 4574, 318, 18, 12312, 322, 685, 537, 393, 7999, 635, 16, 537, 282, 4520, 289, 322, 634, 16800, 8170, 1082, 289, 1039, 1154, 353, 910, 510, 4725, 18524, 15441, 18, 11339, 828, 7859, 16, 2006, 505, 4272, 39031, 349, 19077, 16, 492, 9299, 16, 374, 478, 275, 7325, 15097, 349, 5969, 12152, 4626, 329, 813, 16, 282, 1175, 16, 20412, 289, 15562, 281, 50173, 7377, 353, 2422, 16, 9917, 548, 541, 46696, 2533, 411, 4481, 16, 5672, 9991, 43266, 16141, 16, 39699, 9038, 773, 25891, 8447, 1122, 16, 988, 505, 9095, 1882, 1223, 861, 26036, 3055, 309, 14267, 282, 1562, 10739, 950, 16, 18524, 15441, 2815, 16, 374, 2003, 478, 370, 326, 2102, 7623, 16615, 18376, 360, 294, 26124, 434, 861, 6490, 322, 24689, 10965, 2514, 282, 970, 16, 374, 505, 9079, 39031, 349, 19077, 16, 492, 322, 8493, 18, 478, 11648, 41269, 8447, 16, 371, 27219, 3977, 289, 1747, 38777, 4008, 282, 970, 3106, 16, 282, 2114, 38021, 910, 510, 6463, 18524, 15441, 18, 602, 6132, 18573, 4473, 2538, 2159, 13376, 16615, 18837, 30, 478, 35940, 27907, 18376, 322, 282, 970, 16, 753, 8705, 282, 18782, 38809, 16, 2139, 400, 17491, 272, 16, 10959, 687, 3411, 15754, 454, 289, 13501, 477, 12675, 323, 309, 4837, 38593, 390, 3595, 11588, 16, 4460, 1453, 334, 37889, 18, 37743, 451, 16615, 18376, 282, 970, 16, 753, 7243, 17639, 965, 282, 4008, 289, 309, 3762, 2553, 18, 1178, 912, 30510, 9805, 12294, 16, 367, 2567, 1269, 16, 36314, 13501, 4244, 451, 23693, 349, 7143, 448, 3674, 4271, 18524, 15441, 4725, 16, 374, 492, 322, 15546, 31871, 282, 478, 436, 711, 368, 9020, 3213, 718, 861, 478, 1358, 3336, 322, 941, 2594, 357, 289, 349, 36159, 349, 1219, 1615, 448, 322, 8609, 1508, 357, 18, 9758, 349, 1423, 1805, 567, 3725, 7338, 16, 8856, 5502, 1634, 1791, 16, 367, 1299, 1381, 33383, 282, 6579, 1101, 1336, 16, 309, 2759, 47505, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7755, 6096, 42843, 13765, 305, 20687, 281, 4600, 16, 309, 1754, 48820, 12333, 382, 16231, 18, 1681, 2059, 411, 1129, 20133, 30, 478, 992, 6142, 324, 18524, 15441, 861, 4707, 6809, 13184, 1038, 17029, 6134, 8202, 282, 6648, 30, 491, 16, 24, 3763, 2791, 18, 10512, 1712, 6304, 20691, 25486, 16, 5301, 42843, 16, 1320, 34993, 282, 19883, 680, 6648, 16, 1011, 1660, 23735, 282, 8854, 282, 14109, 18, 42843, 13765, 305, 830, 2440, 301, 370, 12186, 17382, 2047, 282, 8752, 5324, 10249, 16, 988, 282, 1362, 2800, 478, 2134, 1700, 470, 40702, 8854, 33122, 22096, 7160, 593, 12613, 18, 824, 3761, 8448, 26932, 16, 11125, 282, 803, 13785, 2353, 1286, 3161, 2634, 2791, 282, 1205, 18, 1268, 4612, 40979, 322, 10956, 289, 20662, 6304, 28585, 18, 817, 14268, 18899, 309, 17470, 6556, 478, 24073, 910, 988, 678, 13765, 305, 8234, 281, 42845, 478, 26577, 434, 22322, 933, 6961, 289, 322, 687, 861, 3791, 8448, 13184, 15875, 10680, 46444, 30, 478, 1295, 26440, 19909, 15243, 5, 1483, 16669, 31009, 16110, 5343, 5, 629, 29897, 2002, 322, 3524, 3058, 4170, 289, 537, 290, 828, 322, 37698, 13, 11568, 987, 968, 6910, 861, 4541, 8448, 13184, 21473, 294, 6861, 4407, 552, 16, 6557, 2728, 505, 14461, 18, 478, 24569, 274, 334, 505, 35138, 16, 492, 29410, 939, 45078, 16, 2402, 2035, 7994, 2487, 3044, 87, 12316, 5982, 91, 12316, 18, 7200, 43920, 2110, 2487, 3044, 87, 12316, 5982, 91, 12316, 6181, 309, 5554, 547, 11338, 282, 6835, 17, 17553, 282, 11525, 336, 18, 20363, 343, 8974, 11371, 27297, 18, 6682, 2287, 2634, 1135, 1904, 2341, 7069, 11673, 4150, 16427, 31944, 1177, 5554, 541, 1634, 4150, 1437, 18, 12167, 289, 3560, 24039, 5554, 2487, 3044, 87, 12316, 5982, 91, 12316, 16, 6874, 29704, 282, 2180, 7292, 17248, 298, 334, 28629, 15289, 21840, 3320, 8918, 860, 3565, 2148, 716, 715, 3016, 444, 47172, 22390, 16, 685, 1103, 363, 282, 31983, 17, 38114, 1212, 11294, 962, 48762, 14818, 42110, 19340, 349, 45439, 2634, 4662, 18, 15145, 10965, 283, 28395, 4271, 510, 6463, 8448, 13184, 16, 36389, 309, 31481, 1066, 290, 49189, 18, 824, 3761, 40979, 16, 11309, 18524, 15441, 1038, 23414, 32720, 1185, 4656, 1072, 1075, 60, 23256, 23786, 491, 16, 28, 3763, 2791, 289, 5512, 2758, 2661, 16, 17437, 8417, 1639, 4896, 1032, 7703, 16, 26, 9608, 18, 308, 18, 365, 2343, 8623, 6096, 42843, 41274, 2712, 475, 39610, 16, 1576, 7892, 16, 374, 12117, 4388, 18524, 5250, 4896, 816, 16, 25, 3763, 2791, 18, 824, 3352, 8448, 26932, 16, 16172, 11309, 30586, 349, 11125, 32837, 1032, 16, 23, 3763, 2791, 18, 42843, 14835, 2157, 305, 4407, 552, 13547, 309, 33713, 1070, 2689, 2855, 5781, 2533, 16, 3482, 31077, 282, 19862, 41278, 309, 478, 436, 711, 368, 9020, 3213, 718, 910, 1029, 18524, 15441, 21161, 18, 478, 3001, 583, 19668, 2533, 349, 12127, 14212, 16, 515, 6996, 40911, 20789, 16, 5332, 5608, 17, 299, 32024, 3437, 11884, 20368, 345, 419, 16, 7073, 1352, 282, 7149, 432, 28617, 1165, 289, 411, 11840, 49499, 1472, 914, 38442, 770, 282, 1281, 986, 16, 349, 12127, 42807, 910, 510, 7107, 3935, 14831, 320, 18, 16577, 1293, 3139, 4210, 18524, 15441, 17684, 478, 635, 8764, 766, 470, 40979, 309, 1360, 7759, 282, 10249, 18, 48340, 6503, 8448, 26932, 282, 970, 16, 374, 1500, 478, 560, 9572, 309, 1047, 289, 505, 2533, 329, 10661, 1422, 512, 910, 11309, 14091, 1728, 21680, 1321, 30, 478, 6161, 3379, 3857, 3073, 16, 374, 2917, 6994, 2582, 16, 15647, 4854, 16, 895, 5869, 510, 1012, 5433, 478, 28655, 1279, 389, 6037, 434, 289, 41692, 434, 492, 289, 505, 7193, 309, 703, 322, 6371, 16, 2391, 6096, 3508, 12676, 31864, 607, 12270, 289, 393, 896, 307, 9335, 281, 20893, 16, 1276, 48946, 282, 20511, 49594, 910, 510, 453, 22246, 18524, 15441, 36004, 542, 40979, 18, 9263, 11309, 30395, 15463, 1794, 717, 4574, 622, 30224, 523, 282, 1595, 4459, 18, 817, 13744, 16, 374, 282, 8583, 597, 492, 5053, 281, 9515, 35585, 8840, 22128, 2241, 478, 27296, 267, 439, 487, 1620, 910, 988, 505, 1372, 478, 8412, 49042, 3872, 33505, 910, 289, 3619, 2019, 539, 31861, 282, 1293, 13289, 5752, 2791, 16, 281, 1639, 492, 35233, 24075, 18, 478, 30991, 475, 2886, 448, 289, 322, 20572, 411, 5604, 917, 14943, 16, 935, 827, 697, 5134, 309, 16940, 16, 784, 898, 334, 43966, 18, 2876, 475, 39349, 334, 5083, 4158, 11244, 289, 4076, 309, 11125, 2533, 1794, 717, 4574, 318, 18, 12312, 322, 685, 537, 393, 7999, 635, 16, 537, 282, 4520, 289, 322, 634, 16800, 8170, 1082, 289, 1039, 1154, 353, 910, 510, 4725, 18524, 15441, 18, 11339, 828, 7859, 16, 2006, 505, 4272, 39031, 349, 19077, 16, 492, 9299, 16, 374, 478, 275, 7325, 15097, 349, 5969, 12152, 4626, 329, 813, 16, 282, 1175, 16, 20412, 289, 15562, 281, 50173, 7377, 353, 2422, 16, 9917, 548, 541, 46696, 2533, 411, 4481, 16, 5672, 9991, 43266, 16141, 16, 39699, 9038, 773, 25891, 8447, 1122, 16, 988, 505, 9095, 1882, 1223, 861, 26036, 3055, 309, 14267, 282, 1562, 10739, 950, 16, 18524, 15441, 2815, 16, 374, 2003, 478, 370, 326, 2102, 7623, 16615, 18376, 360, 294, 26124, 434, 861, 6490, 322, 24689, 10965, 2514, 282, 970, 16, 374, 505, 9079, 39031, 349, 19077, 16, 492, 322, 8493, 18, 478, 11648, 41269, 8447, 16, 371, 27219, 3977, 289, 1747, 38777, 4008, 282, 970, 3106, 16, 282, 2114, 38021, 910, 510, 6463, 18524, 15441, 18, 602, 6132, 18573, 4473, 2538, 2159, 13376, 16615, 18837, 30, 478, 35940, 27907, 18376, 322, 282, 970, 16, 753, 8705, 282, 18782, 38809, 16, 2139, 400, 17491, 272, 16, 10959, 687, 3411, 15754, 454, 289, 13501, 477, 12675, 323, 309, 4837, 38593, 390, 3595, 11588, 16, 4460, 1453, 334, 37889, 18, 37743, 451, 16615, 18376, 282, 970, 16, 753, 7243, 17639, 965, 282, 4008, 289, 309, 3762, 2553, 18, 1178, 912, 30510, 9805, 12294, 16, 367, 2567, 1269, 16, 36314, 13501, 4244, 451, 23693, 349, 7143, 448, 3674, 4271, 18524, 15441, 4725, 16, 374, 492, 322, 15546, 31871, 282, 478, 436, 711, 368, 9020, 3213, 718, 861, 478, 1358, 3336, 322, 941, 2594, 357, 289, 349, 36159, 349, 1219, 1615, 448, 322, 8609, 1508, 357, 18, 9758, 349, 1423, 1805, 567, 3725, 7338, 16, 8856, 5502, 1634, 1791, 16, 367, 1299, 1381, 33383, 282, 6579, 1101, 1336, 16, 309, 2759, 47505, 18 ]
[ 7858, 349, 813, 978, 322, 12514, 16, 14889, 309, 19627, 933, 22614, 3562, 48968, 16, 3445, 668, 46339, 2504, 322, 9650, 1738, 18, 1397, 5327, 5240, 32837, 16, 827, 1974, 477, 2924, 3018, 49934, 282, 518, 2553, 16, 988, 745, 39031, 16, 520, 10661, 697, 16, 840, 12960, 16, 515, 5464, 275, 339, 18, 2970, 12304, 289, 1568, 1973, 11125, 1336, 910, 510, 41274, 3064, 11309, 18, 1681, 49974, 6127, 22125, 478, 22333, 5355, 19220, 910, 2113, 3134, 16268, 3276, 16, 18524, 15441, 29817, 975, 16, 753, 478, 742, 556, 7045, 360, 40775, 368, 322, 17463, 505, 2533, 16, 35253, 35724, 975, 5399, 861, 2, 1, 87, 1456, 81, 2448, 30, 48564, 22697, 48140, 478, 672, 8546, 910, 21755, 478, 25626, 470, 334, 38396, 17793, 16, 16684, 17288, 539, 15045, 309, 3017, 360, 3437, 519, 4256, 986, 18, 996, 291, 6441, 15140, 11998, 758, 17456, 34206, 334, 8872, 26369, 282, 11023, 5021, 779, 1011, 7977, 478, 36578, 3248, 470, 510, 478, 672, 8546, 861, 31224, 30, 563, 412, 320, 742, 478, 25626, 470, 334, 38396, 17793, 28638, 778, 478, 672, 8546, 470, 895, 520, 20009, 4256, 12525, 18112, 9536, 16, 3279, 16684, 17288, 451, 3017, 360, 3437, 519, 4256, 986, 9017, 16, 3110, 776, 951, 21437, 18, 40144, 2959, 1011, 10445, 10438, 26247, 15352, 6347, 4766, 282, 18161, 507, 296, 913, 8982, 1865, 332, 13403, 2854, 478, 280, 947, 1970, 470, 27273, 1159, 17592, 454, 289, 329, 570, 2880, 1159, 19340, 5123, 45007, 297, 728, 16, 367, 1038, 19671, 2243, 7191, 28376, 16, 47922, 2818, 2985, 3033, 19340, 5123, 2725, 864, 16076, 289, 764, 6661, 4960, 272, 7225, 478, 672, 8546, 470, 329, 570, 2880, 1159, 14816, 6755, 727, 948, 7507, 14267, 282, 37555, 309, 50218, 441, 2169, 282, 424, 1198, 16384, 547, 13942, 1011, 7977, 7561, 281, 478, 36578, 791, 761, 470, 282, 11147, 34206, 8900, 17, 18003, 19, 15853, 16, 1029, 12665, 1939, 3972, 5021, 779, 18, 37767, 16, 374, 1011, 7242, 1941, 541, 478, 672, 8546, 470, 4466, 473, 20, 30, 21, 13, 32074, 12525, 7646, 30598, 282, 7351, 33727, 281, 5512, 50218, 441, 4868, 16, 367, 2512, 411, 3590, 697, 18, 365, 3106, 20481, 898, 34110, 13607, 11232, 21912, 512, 16, 961, 49587, 15543, 18, 608, 2236, 12460, 2822, 898, 10750, 6025, 336, 2749, 496, 276, 289, 50095, 25027, 309, 10853, 16, 27901, 289, 282, 1767, 18936, 16, 367, 329, 4758, 651, 309, 27901, 289, 5503, 18, 5403, 3756, 935, 3711, 29804, 282, 13335, 18, 29609, 26369, 3005, 41638, 289, 17564, 16, 43451, 6519, 764, 309, 3723, 35484, 4577, 567, 808, 7977, 18, 889, 16, 282, 4810, 16, 13748, 294, 2222, 16, 374, 17771, 269, 4466, 3183, 2385, 272, 3495, 29551, 419, 16, 13479, 4075, 18474, 13362, 309, 21796, 883, 477, 1963, 478, 280, 947, 1970, 910, 11189, 685, 32846, 30639, 12355, 360, 32462, 424, 33317, 6233, 18, 832, 12699, 275, 11763, 519, 17771, 287, 16, 21188, 478, 672, 8546, 470, 1595, 11859, 9115, 6563, 1717, 309, 8243, 8310, 285, 1643, 7431, 18, 967, 833, 1886, 1694, 17592, 343, 16, 1029, 35921, 50218, 441, 2169, 16, 374, 8329, 15186, 281, 3671, 355, 18, 478, 1358, 1988, 957, 1490, 32792, 16, 694, 726, 7846, 16, 374, 281, 2872, 281, 2887, 2742, 910, 510, 8754, 300, 22335, 364, 1577, 6661, 411, 1129, 18, 5333, 2175, 16, 282, 4542, 15140, 639, 3168, 4684, 16, 374, 21188, 478, 672, 8546, 470, 371, 37555, 309, 18581, 25509, 23585, 315, 18, 7537, 10048, 19848, 289, 970, 16, 374, 42222, 1038, 2700, 6563, 35764, 25551, 16, 4092, 40139, 2710, 17, 3697, 17161, 489, 448, 3193, 1279, 6814, 5778, 276, 18, 12020, 27005, 17592, 273, 473, 1243, 505, 3221, 3457, 281, 21407, 3250, 28383, 411, 32290, 507, 13, 726, 7846, 1595, 3315, 1272, 779, 2158, 10482, 16, 374, 1011, 1967, 6059, 1500, 575, 17592, 273, 685, 5689, 23305, 1390, 30020, 38168, 11285, 304, 15505, 42879, 18389, 309, 2846, 5196, 18, 2046, 10188, 481, 13742, 334, 19745, 42770, 4551, 18569, 34206, 8018, 1374, 23220, 979, 360, 18569, 1223, 309, 1421, 7977, 18, 2725, 864, 16076, 3619, 27068, 1447, 668, 5689, 1166, 33190, 16, 1586, 906, 41050, 2175, 5009, 8991, 519, 6566, 45185, 9806, 18, 967, 9067, 9713, 28261, 2353, 5978, 282, 970, 16, 374, 4909, 783, 371, 489, 10501, 18581, 50218, 441, 2169, 294, 43374, 16, 367, 322, 294, 1732, 5970, 5738, 16, 374, 46481, 289, 309, 6541, 750, 4286, 411, 12525, 18, 44079, 4538, 16, 3723, 14791, 2891, 5824, 925, 16837, 16, 753, 387, 2947, 649, 12525, 35065, 7586, 2553, 282, 970, 2875, 289, 541, 924, 16, 753, 322, 9007, 350, 1938, 1190, 26022, 18, 967, 803, 727, 948, 7507, 16, 45007, 297, 611, 289, 31865, 2467, 1745, 6541, 318, 322, 898, 18, 2046, 1441, 282, 1743, 1391, 22902, 37972, 9597, 1624, 961, 726, 41522, 14170, 1510, 1939, 3972, 26058, 281, 4947, 4611, 8739, 322, 33450, 16, 367, 14132, 12670, 18, 365, 803, 1750, 10286, 15857, 19034, 1033, 4307, 3570, 18, 37767, 16, 374, 17592, 454, 16684, 360, 3437, 519, 4256, 986, 17288, 434, 12851, 16, 2725, 864, 16076, 16, 1029, 726, 46661, 282, 2900, 5064, 4096, 16, 2852, 16, 367, 18379, 651, 334, 1421, 779, 18, 7106, 16, 374, 475, 32074, 32462, 282, 6104, 11258, 2458, 4027, 353, 289, 9361, 7771, 14378, 2553, 16, 367, 1038, 34447, 2151, 877, 5538, 18, 365, 25881, 26345, 466, 16180, 17793, 478, 672, 8546, 470, 9988, 282, 8933, 1180, 1974, 281, 478, 20028, 496, 910, 41689, 2306, 478, 35807, 26100, 470, 289, 9926, 269, 1703, 439, 11920, 1605, 1098, 304, 289, 1623, 49338, 496, 18, 6019, 16, 7005, 16287, 16, 5510, 3541, 282, 22018, 289, 32462, 282, 14526, 19410, 16, 367, 1038, 7457, 4753, 290, 16445, 313, 845, 2529, 3216, 547, 3723, 35484, 19843, 942, 4897, 309, 7759, 16180, 17793, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 382, 660, 2234, 10928, 13949, 461, 282, 6940, 445, 6405, 2609, 1211, 35818, 6236, 622, 16, 7083, 1063, 13155, 3041, 18, 43294, 334, 47342, 3477, 11293, 289, 11052, 313, 395, 6369, 14781, 18, 29609, 13863, 49234, 1559, 6229, 1742, 28724, 3483, 1970, 16, 4511, 3391, 3785, 16, 3229, 1223, 309, 29672, 3793, 6196, 18, 5585, 553, 13949, 461, 15638, 3306, 309, 2123, 5999, 31224, 30, 563, 382, 660, 2234, 10928, 13949, 461, 16, 5143, 1779, 282, 10882, 290, 16685, 298, 15861, 28536, 349, 4722, 20981, 4440 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7858, 349, 813, 978, 322, 12514, 16, 14889, 309, 19627, 933, 22614, 3562, 48968, 16, 3445, 668, 46339, 2504, 322, 9650, 1738, 18, 1397, 5327, 5240, 32837, 16, 827, 1974, 477, 2924, 3018, 49934, 282, 518, 2553, 16, 988, 745, 39031, 16, 520, 10661, 697, 16, 840, 12960, 16, 515, 5464, 275, 339, 18, 2970, 12304, 289, 1568, 1973, 11125, 1336, 910, 510, 41274, 3064, 11309, 18, 1681, 49974, 6127, 22125, 478, 22333, 5355, 19220, 910, 2113, 3134, 16268, 3276, 16, 18524, 15441, 29817, 975, 16, 753, 478, 742, 556, 7045, 360, 40775, 368, 322, 17463, 505, 2533, 16, 35253, 35724, 975, 5399, 861, 2, 1, 87, 1456, 81, 2448, 30, 48564, 22697, 48140, 478, 672, 8546, 910, 21755, 478, 25626, 470, 334, 38396, 17793, 16, 16684, 17288, 539, 15045, 309, 3017, 360, 3437, 519, 4256, 986, 18, 996, 291, 6441, 15140, 11998, 758, 17456, 34206, 334, 8872, 26369, 282, 11023, 5021, 779, 1011, 7977, 478, 36578, 3248, 470, 510, 478, 672, 8546, 861, 31224, 30, 563, 412, 320, 742, 478, 25626, 470, 334, 38396, 17793, 28638, 778, 478, 672, 8546, 470, 895, 520, 20009, 4256, 12525, 18112, 9536, 16, 3279, 16684, 17288, 451, 3017, 360, 3437, 519, 4256, 986, 9017, 16, 3110, 776, 951, 21437, 18, 40144, 2959, 1011, 10445, 10438, 26247, 15352, 6347, 4766, 282, 18161, 507, 296, 913, 8982, 1865, 332, 13403, 2854, 478, 280, 947, 1970, 470, 27273, 1159, 17592, 454, 289, 329, 570, 2880, 1159, 19340, 5123, 45007, 297, 728, 16, 367, 1038, 19671, 2243, 7191, 28376, 16, 47922, 2818, 2985, 3033, 19340, 5123, 2725, 864, 16076, 289, 764, 6661, 4960, 272, 7225, 478, 672, 8546, 470, 329, 570, 2880, 1159, 14816, 6755, 727, 948, 7507, 14267, 282, 37555, 309, 50218, 441, 2169, 282, 424, 1198, 16384, 547, 13942, 1011, 7977, 7561, 281, 478, 36578, 791, 761, 470, 282, 11147, 34206, 8900, 17, 18003, 19, 15853, 16, 1029, 12665, 1939, 3972, 5021, 779, 18, 37767, 16, 374, 1011, 7242, 1941, 541, 478, 672, 8546, 470, 4466, 473, 20, 30, 21, 13, 32074, 12525, 7646, 30598, 282, 7351, 33727, 281, 5512, 50218, 441, 4868, 16, 367, 2512, 411, 3590, 697, 18, 365, 3106, 20481, 898, 34110, 13607, 11232, 21912, 512, 16, 961, 49587, 15543, 18, 608, 2236, 12460, 2822, 898, 10750, 6025, 336, 2749, 496, 276, 289, 50095, 25027, 309, 10853, 16, 27901, 289, 282, 1767, 18936, 16, 367, 329, 4758, 651, 309, 27901, 289, 5503, 18, 5403, 3756, 935, 3711, 29804, 282, 13335, 18, 29609, 26369, 3005, 41638, 289, 17564, 16, 43451, 6519, 764, 309, 3723, 35484, 4577, 567, 808, 7977, 18, 889, 16, 282, 4810, 16, 13748, 294, 2222, 16, 374, 17771, 269, 4466, 3183, 2385, 272, 3495, 29551, 419, 16, 13479, 4075, 18474, 13362, 309, 21796, 883, 477, 1963, 478, 280, 947, 1970, 910, 11189, 685, 32846, 30639, 12355, 360, 32462, 424, 33317, 6233, 18, 832, 12699, 275, 11763, 519, 17771, 287, 16, 21188, 478, 672, 8546, 470, 1595, 11859, 9115, 6563, 1717, 309, 8243, 8310, 285, 1643, 7431, 18, 967, 833, 1886, 1694, 17592, 343, 16, 1029, 35921, 50218, 441, 2169, 16, 374, 8329, 15186, 281, 3671, 355, 18, 478, 1358, 1988, 957, 1490, 32792, 16, 694, 726, 7846, 16, 374, 281, 2872, 281, 2887, 2742, 910, 510, 8754, 300, 22335, 364, 1577, 6661, 411, 1129, 18, 5333, 2175, 16, 282, 4542, 15140, 639, 3168, 4684, 16, 374, 21188, 478, 672, 8546, 470, 371, 37555, 309, 18581, 25509, 23585, 315, 18, 7537, 10048, 19848, 289, 970, 16, 374, 42222, 1038, 2700, 6563, 35764, 25551, 16, 4092, 40139, 2710, 17, 3697, 17161, 489, 448, 3193, 1279, 6814, 5778, 276, 18, 12020, 27005, 17592, 273, 473, 1243, 505, 3221, 3457, 281, 21407, 3250, 28383, 411, 32290, 507, 13, 726, 7846, 1595, 3315, 1272, 779, 2158, 10482, 16, 374, 1011, 1967, 6059, 1500, 575, 17592, 273, 685, 5689, 23305, 1390, 30020, 38168, 11285, 304, 15505, 42879, 18389, 309, 2846, 5196, 18, 2046, 10188, 481, 13742, 334, 19745, 42770, 4551, 18569, 34206, 8018, 1374, 23220, 979, 360, 18569, 1223, 309, 1421, 7977, 18, 2725, 864, 16076, 3619, 27068, 1447, 668, 5689, 1166, 33190, 16, 1586, 906, 41050, 2175, 5009, 8991, 519, 6566, 45185, 9806, 18, 967, 9067, 9713, 28261, 2353, 5978, 282, 970, 16, 374, 4909, 783, 371, 489, 10501, 18581, 50218, 441, 2169, 294, 43374, 16, 367, 322, 294, 1732, 5970, 5738, 16, 374, 46481, 289, 309, 6541, 750, 4286, 411, 12525, 18, 44079, 4538, 16, 3723, 14791, 2891, 5824, 925, 16837, 16, 753, 387, 2947, 649, 12525, 35065, 7586, 2553, 282, 970, 2875, 289, 541, 924, 16, 753, 322, 9007, 350, 1938, 1190, 26022, 18, 967, 803, 727, 948, 7507, 16, 45007, 297, 611, 289, 31865, 2467, 1745, 6541, 318, 322, 898, 18, 2046, 1441, 282, 1743, 1391, 22902, 37972, 9597, 1624, 961, 726, 41522, 14170, 1510, 1939, 3972, 26058, 281, 4947, 4611, 8739, 322, 33450, 16, 367, 14132, 12670, 18, 365, 803, 1750, 10286, 15857, 19034, 1033, 4307, 3570, 18, 37767, 16, 374, 17592, 454, 16684, 360, 3437, 519, 4256, 986, 17288, 434, 12851, 16, 2725, 864, 16076, 16, 1029, 726, 46661, 282, 2900, 5064, 4096, 16, 2852, 16, 367, 18379, 651, 334, 1421, 779, 18, 7106, 16, 374, 475, 32074, 32462, 282, 6104, 11258, 2458, 4027, 353, 289, 9361, 7771, 14378, 2553, 16, 367, 1038, 34447, 2151, 877, 5538, 18, 365, 25881, 26345, 466, 16180, 17793, 478, 672, 8546, 470, 9988, 282, 8933, 1180, 1974, 281, 478, 20028, 496, 910, 41689, 2306, 478, 35807, 26100, 470, 289, 9926, 269, 1703, 439, 11920, 1605, 1098, 304, 289, 1623, 49338, 496, 18, 6019, 16, 7005, 16287, 16, 5510, 3541, 282, 22018, 289, 32462, 282, 14526, 19410, 16, 367, 1038, 7457, 4753, 290, 16445, 313, 845, 2529, 3216, 547, 3723, 35484, 19843, 942, 4897, 309, 7759, 16180, 17793, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 382, 660, 2234, 10928, 13949, 461, 282, 6940, 445, 6405, 2609, 1211, 35818, 6236, 622, 16, 7083, 1063, 13155, 3041, 18, 43294, 334, 47342, 3477, 11293, 289, 11052, 313, 395, 6369, 14781, 18, 29609, 13863, 49234, 1559, 6229, 1742, 28724, 3483, 1970, 16, 4511, 3391, 3785, 16, 3229, 1223, 309, 29672, 3793, 6196, 18, 5585, 553, 13949, 461, 15638, 3306, 309, 2123, 5999, 31224, 30, 563, 382, 660, 2234, 10928, 13949, 461, 16, 5143, 1779, 282, 10882, 290, 16685, 298, 15861, 28536, 349, 4722, 20981, 4440 ]
[ 779, 16, 13122, 20489, 18027, 23271, 289, 7346, 14280, 6431, 18, 43294, 334, 47342, 3477, 11293, 289, 11052, 313, 395, 2145, 473, 55, 23004, 13, 6347, 1788, 9080, 6405, 4097, 14412, 19965, 16, 3110, 477, 7755, 309, 14182, 4651, 7897, 1273, 27971, 15402, 24639, 18, 2052, 2040, 6135, 3164, 309, 27752, 12159, 16, 16477, 764, 322, 6554, 16, 14979, 520, 31373, 14781, 18, 5585, 553, 13949, 461, 16, 720, 14313, 2855, 2024, 23054, 12272, 37697, 7362, 37623, 27977, 1496, 401, 1624, 282, 10666, 16157, 2123, 7418, 10753, 275, 519, 4843, 3114, 16, 6462, 349, 19830, 510, 481, 309, 3436, 9, 4803, 5995, 36440, 718, 15429, 47568, 2932, 349, 26314, 814, 8444, 16685, 3514, 5487, 12445, 1924, 16661, 1011, 21490, 51, 282, 2580, 18412, 16, 3387, 19615, 478, 267, 956, 3595, 20421, 470, 282, 14372, 1809, 3447, 7805, 5095, 4097, 18, 13949, 461, 322, 24554, 455, 282, 6236, 3674, 16, 961, 2879, 31117, 17, 3533, 266, 404, 2381, 18, 31186, 13949, 461, 15075, 20809, 13155, 3041, 309, 4843, 7703, 3763, 16, 1011, 6405, 4097, 492, 7990, 764, 309, 4843, 5759, 16, 26, 3763, 16, 11453, 2147, 5009, 5519, 309, 4843, 3940, 16, 23, 3763, 16, 519, 4843, 6837, 22, 16, 22, 3763, 18, 8444, 46049, 7288, 755, 3334, 24544, 27879, 82, 849, 5436, 36024, 18, 1787, 9357, 416, 10438, 25732, 1802, 52, 49, 43, 18, 478, 563, 13949, 461, 1038, 11157, 969, 3414, 1753, 3549, 28887, 47740, 1661, 1284, 1185, 48, 52, 289, 21453, 83, 18344, 5436, 786, 765, 5758, 1185, 48, 52, 910, 510, 2815, 3781, 17, 15975, 4772, 17, 48693, 2227, 3881, 264, 48987, 18, 12849, 3030, 6405, 4097, 14575, 282, 12500, 16, 1011, 924, 428, 6548, 17852, 10167, 15604, 4429, 299, 3828, 19790, 2241, 510, 6700, 27794, 6520, 16, 11113, 3326, 1069, 876, 4276, 23261, 17041, 34569, 289, 6365, 825, 39476, 6727, 34569, 18778, 271, 554, 510, 290, 3914, 547, 32957, 304, 2760, 464, 26435, 3483, 4436, 3483, 1970, 282, 10841, 16, 3110, 7897, 1234, 55, 46, 18, 6682, 924, 16, 329, 13949, 461, 322, 5121, 40438, 541, 1967, 28029, 18, 889, 13391, 453, 30515, 478, 630, 636, 23502, 13949, 461, 910, 10308, 2989, 20038, 9078, 3483, 4651, 3483, 356, 16, 827, 773, 322, 3225, 3604, 882, 451, 8280, 670, 22869, 18, 478, 630, 636, 9015, 470, 639, 2394, 20620, 34708, 10928, 360, 24411, 16, 2567, 428, 1185, 10792, 55, 13385, 25480, 18, 999, 481, 478, 630, 636, 9015, 470, 18778, 271, 347, 2944, 25108, 467, 19540, 14697, 289, 42557, 16, 515, 3785, 15349, 5251, 35544, 18, 365, 10841, 3400, 2760, 712, 16, 334, 3163, 15604, 4429, 299, 16, 6245, 48879, 475, 10940, 448, 5936, 18, 889, 4243, 411, 17, 431, 20961, 49835, 309, 29672, 3793, 6196, 16, 428, 16, 3057, 16, 309, 20047, 668, 11124, 18066, 2941, 16, 2588, 13949, 461, 6455, 282, 6104, 1045, 16, 2548, 7897, 18, 3739, 519, 15429, 13949, 461, 10490, 6405, 2609, 937, 6236, 622, 18, 385, 25105, 4838, 10445, 8508, 16685, 287, 3785, 322, 7140, 2829, 16, 12969, 26485, 10526, 3453, 282, 32942, 4116, 40443, 13863, 49234, 18, 17444, 2016, 906, 7760, 19238, 3556, 5418, 10445, 282, 18686, 5133, 334, 47342, 3477, 11293, 289, 11052, 313, 395, 18, 27695, 715, 23004, 9473, 360, 15841, 18, 478, 4348, 41673, 14202, 16174, 453, 2156, 16, 428, 481, 2628, 16, 2686, 282, 7253, 4096, 656, 322, 5087, 2023, 16, 3176, 1612, 309, 481, 14495, 910, 510, 5130, 282, 9907, 13949, 461, 18, 2785, 837, 467, 3586, 294, 7288, 6520, 27879, 82, 849, 5436, 36024, 16, 2006, 3860, 322, 898, 2264, 4633, 4419, 16, 1109, 38341, 41330, 49525, 11295, 76, 45888, 48240, 13949, 19457, 11432, 297, 18, 27879, 82, 849, 5436, 36024, 1055, 25349, 360, 15841, 18, 478, 4441, 2993, 639, 953, 43706, 7288, 8943, 16, 510, 2548, 492, 18, 510, 10538, 16, 374, 4211, 473, 43, 11971, 461, 510, 6924, 18, 478, 32485, 18, 8381, 9979, 13981, 453, 2156, 16, 374, 329, 2241, 322, 7696, 6365, 16, 753, 15807, 6591, 861, 478, 1358, 4502, 3797, 481, 428, 12989, 7019, 910, 510, 5273, 289, 32344, 13588, 350, 16, 2024, 15875, 1234, 55, 46, 18, 2, 1, 87, 1456, 81, 2448, 30, 44578, 5562, 3720, 13593, 636, 19219, 895, 1852, 11947, 7067, 18820, 478, 563, 29909, 375, 546, 419, 861, 2320, 37917, 6455, 5037, 3569, 635, 267, 25378, 7550, 8049, 20605, 3979, 16, 652, 11528, 1815, 2172, 334, 19745, 4830, 15803, 31980, 18, 31224, 30, 31971, 3082, 19264, 21257, 289, 2630, 7550, 8049, 20605, 3979, 6455, 13125, 319, 282, 2172, 18820, 1087, 21482, 24546, 478, 563, 29909, 375, 1246, 470, 6816, 13593, 636, 10788, 1624, 6232, 16764, 282, 12221, 971, 343, 30476, 13593, 34870, 1580, 289, 41686, 432, 18, 15066, 33331, 5771, 8099, 18946, 9541, 17, 24339, 272, 33742, 4845, 272, 18, 18129, 334, 6574, 4639, 13593, 636, 10788, 1055, 322, 7239, 16, 3828, 7897, 478, 29025, 507, 861, 17023, 2630, 282, 10882, 5475, 322, 13202, 18964, 3003, 18, 365, 2343, 4238, 8049, 20605, 3979, 3828, 16, 374, 8251, 937, 16896, 309, 5019, 20671, 282, 2172, 18820, 478, 563, 29909, 375, 546, 419, 861, 824, 505, 3163, 16, 14495, 6584, 18856, 5439, 290, 6574, 2662, 282, 2172, 18820, 478, 563, 29909, 375, 546, 419, 470, 541, 13125, 542, 309, 5521, 304, 26862, 37001, 18, 25127, 25356, 11341, 9541, 17, 293, 30557, 11088, 29478, 1624, 12099, 22292, 38327, 2630, 18, 26481, 13593, 636, 19219, 8542, 282, 20032, 1045, 282, 12221, 282, 6598, 7269, 20477, 14100, 510, 6816, 13593, 636, 10788, 289, 2215, 394, 41686, 416, 18, 10129, 13593, 636, 10788, 38388, 1279, 13845, 4257, 424, 12793, 39519, 8548, 8053, 289, 45495, 35785, 16, 2512, 20477, 312, 3064, 567, 25453, 18, 26481, 3720, 12737, 567, 20305, 4257, 16, 5931, 309, 834, 791, 282, 38028, 464, 16, 2512, 282, 2241, 16, 1586, 15082, 332, 2926, 21936, 382, 31697, 25300, 291, 16, 282, 970, 2875, 541, 16190, 27125, 3693, 18, 4541, 13593, 636, 19219, 7609, 1421, 779, 282, 26796, 16, 8144, 289, 2151, 14605, 510, 15082, 271, 9202, 541, 43065, 40808, 23676, 28074, 18, 365, 16951, 384, 45037, 6206, 13593, 636, 19219, 5931, 282, 2241, 16, 1586, 15082, 332, 7173, 448, 2926, 2630, 541, 4433, 12826, 7884, 1624, 10015, 8818, 1624, 5228, 399, 8366, 16, 472, 5607, 478, 992, 11169, 1175, 470, 289, 478, 37075, 861, 9418, 281, 971, 635, 16654, 4258, 711, 613, 12952, 4035, 7408, 7362 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 779, 16, 13122, 20489, 18027, 23271, 289, 7346, 14280, 6431, 18, 43294, 334, 47342, 3477, 11293, 289, 11052, 313, 395, 2145, 473, 55, 23004, 13, 6347, 1788, 9080, 6405, 4097, 14412, 19965, 16, 3110, 477, 7755, 309, 14182, 4651, 7897, 1273, 27971, 15402, 24639, 18, 2052, 2040, 6135, 3164, 309, 27752, 12159, 16, 16477, 764, 322, 6554, 16, 14979, 520, 31373, 14781, 18, 5585, 553, 13949, 461, 16, 720, 14313, 2855, 2024, 23054, 12272, 37697, 7362, 37623, 27977, 1496, 401, 1624, 282, 10666, 16157, 2123, 7418, 10753, 275, 519, 4843, 3114, 16, 6462, 349, 19830, 510, 481, 309, 3436, 9, 4803, 5995, 36440, 718, 15429, 47568, 2932, 349, 26314, 814, 8444, 16685, 3514, 5487, 12445, 1924, 16661, 1011, 21490, 51, 282, 2580, 18412, 16, 3387, 19615, 478, 267, 956, 3595, 20421, 470, 282, 14372, 1809, 3447, 7805, 5095, 4097, 18, 13949, 461, 322, 24554, 455, 282, 6236, 3674, 16, 961, 2879, 31117, 17, 3533, 266, 404, 2381, 18, 31186, 13949, 461, 15075, 20809, 13155, 3041, 309, 4843, 7703, 3763, 16, 1011, 6405, 4097, 492, 7990, 764, 309, 4843, 5759, 16, 26, 3763, 16, 11453, 2147, 5009, 5519, 309, 4843, 3940, 16, 23, 3763, 16, 519, 4843, 6837, 22, 16, 22, 3763, 18, 8444, 46049, 7288, 755, 3334, 24544, 27879, 82, 849, 5436, 36024, 18, 1787, 9357, 416, 10438, 25732, 1802, 52, 49, 43, 18, 478, 563, 13949, 461, 1038, 11157, 969, 3414, 1753, 3549, 28887, 47740, 1661, 1284, 1185, 48, 52, 289, 21453, 83, 18344, 5436, 786, 765, 5758, 1185, 48, 52, 910, 510, 2815, 3781, 17, 15975, 4772, 17, 48693, 2227, 3881, 264, 48987, 18, 12849, 3030, 6405, 4097, 14575, 282, 12500, 16, 1011, 924, 428, 6548, 17852, 10167, 15604, 4429, 299, 3828, 19790, 2241, 510, 6700, 27794, 6520, 16, 11113, 3326, 1069, 876, 4276, 23261, 17041, 34569, 289, 6365, 825, 39476, 6727, 34569, 18778, 271, 554, 510, 290, 3914, 547, 32957, 304, 2760, 464, 26435, 3483, 4436, 3483, 1970, 282, 10841, 16, 3110, 7897, 1234, 55, 46, 18, 6682, 924, 16, 329, 13949, 461, 322, 5121, 40438, 541, 1967, 28029, 18, 889, 13391, 453, 30515, 478, 630, 636, 23502, 13949, 461, 910, 10308, 2989, 20038, 9078, 3483, 4651, 3483, 356, 16, 827, 773, 322, 3225, 3604, 882, 451, 8280, 670, 22869, 18, 478, 630, 636, 9015, 470, 639, 2394, 20620, 34708, 10928, 360, 24411, 16, 2567, 428, 1185, 10792, 55, 13385, 25480, 18, 999, 481, 478, 630, 636, 9015, 470, 18778, 271, 347, 2944, 25108, 467, 19540, 14697, 289, 42557, 16, 515, 3785, 15349, 5251, 35544, 18, 365, 10841, 3400, 2760, 712, 16, 334, 3163, 15604, 4429, 299, 16, 6245, 48879, 475, 10940, 448, 5936, 18, 889, 4243, 411, 17, 431, 20961, 49835, 309, 29672, 3793, 6196, 16, 428, 16, 3057, 16, 309, 20047, 668, 11124, 18066, 2941, 16, 2588, 13949, 461, 6455, 282, 6104, 1045, 16, 2548, 7897, 18, 3739, 519, 15429, 13949, 461, 10490, 6405, 2609, 937, 6236, 622, 18, 385, 25105, 4838, 10445, 8508, 16685, 287, 3785, 322, 7140, 2829, 16, 12969, 26485, 10526, 3453, 282, 32942, 4116, 40443, 13863, 49234, 18, 17444, 2016, 906, 7760, 19238, 3556, 5418, 10445, 282, 18686, 5133, 334, 47342, 3477, 11293, 289, 11052, 313, 395, 18, 27695, 715, 23004, 9473, 360, 15841, 18, 478, 4348, 41673, 14202, 16174, 453, 2156, 16, 428, 481, 2628, 16, 2686, 282, 7253, 4096, 656, 322, 5087, 2023, 16, 3176, 1612, 309, 481, 14495, 910, 510, 5130, 282, 9907, 13949, 461, 18, 2785, 837, 467, 3586, 294, 7288, 6520, 27879, 82, 849, 5436, 36024, 16, 2006, 3860, 322, 898, 2264, 4633, 4419, 16, 1109, 38341, 41330, 49525, 11295, 76, 45888, 48240, 13949, 19457, 11432, 297, 18, 27879, 82, 849, 5436, 36024, 1055, 25349, 360, 15841, 18, 478, 4441, 2993, 639, 953, 43706, 7288, 8943, 16, 510, 2548, 492, 18, 510, 10538, 16, 374, 4211, 473, 43, 11971, 461, 510, 6924, 18, 478, 32485, 18, 8381, 9979, 13981, 453, 2156, 16, 374, 329, 2241, 322, 7696, 6365, 16, 753, 15807, 6591, 861, 478, 1358, 4502, 3797, 481, 428, 12989, 7019, 910, 510, 5273, 289, 32344, 13588, 350, 16, 2024, 15875, 1234, 55, 46, 18, 2, 1, 87, 1456, 81, 2448, 30, 44578, 5562, 3720, 13593, 636, 19219, 895, 1852, 11947, 7067, 18820, 478, 563, 29909, 375, 546, 419, 861, 2320, 37917, 6455, 5037, 3569, 635, 267, 25378, 7550, 8049, 20605, 3979, 16, 652, 11528, 1815, 2172, 334, 19745, 4830, 15803, 31980, 18, 31224, 30, 31971, 3082, 19264, 21257, 289, 2630, 7550, 8049, 20605, 3979, 6455, 13125, 319, 282, 2172, 18820, 1087, 21482, 24546, 478, 563, 29909, 375, 1246, 470, 6816, 13593, 636, 10788, 1624, 6232, 16764, 282, 12221, 971, 343, 30476, 13593, 34870, 1580, 289, 41686, 432, 18, 15066, 33331, 5771, 8099, 18946, 9541, 17, 24339, 272, 33742, 4845, 272, 18, 18129, 334, 6574, 4639, 13593, 636, 10788, 1055, 322, 7239, 16, 3828, 7897, 478, 29025, 507, 861, 17023, 2630, 282, 10882, 5475, 322, 13202, 18964, 3003, 18, 365, 2343, 4238, 8049, 20605, 3979, 3828, 16, 374, 8251, 937, 16896, 309, 5019, 20671, 282, 2172, 18820, 478, 563, 29909, 375, 546, 419, 861, 824, 505, 3163, 16, 14495, 6584, 18856, 5439, 290, 6574, 2662, 282, 2172, 18820, 478, 563, 29909, 375, 546, 419, 470, 541, 13125, 542, 309, 5521, 304, 26862, 37001, 18, 25127, 25356, 11341, 9541, 17, 293, 30557, 11088, 29478, 1624, 12099, 22292, 38327, 2630, 18, 26481, 13593, 636, 19219, 8542, 282, 20032, 1045, 282, 12221, 282, 6598, 7269, 20477, 14100, 510, 6816, 13593, 636, 10788, 289, 2215, 394, 41686, 416, 18, 10129, 13593, 636, 10788, 38388, 1279, 13845, 4257, 424, 12793, 39519, 8548, 8053, 289, 45495, 35785, 16, 2512, 20477, 312, 3064, 567, 25453, 18, 26481, 3720, 12737, 567, 20305, 4257, 16, 5931, 309, 834, 791, 282, 38028, 464, 16, 2512, 282, 2241, 16, 1586, 15082, 332, 2926, 21936, 382, 31697, 25300, 291, 16, 282, 970, 2875, 541, 16190, 27125, 3693, 18, 4541, 13593, 636, 19219, 7609, 1421, 779, 282, 26796, 16, 8144, 289, 2151, 14605, 510, 15082, 271, 9202, 541, 43065, 40808, 23676, 28074, 18, 365, 16951, 384, 45037, 6206, 13593, 636, 19219, 5931, 282, 2241, 16, 1586, 15082, 332, 7173, 448, 2926, 2630, 541, 4433, 12826, 7884, 1624, 10015, 8818, 1624, 5228, 399, 8366, 16, 472, 5607, 478, 992, 11169, 1175, 470, 289, 478, 37075, 861, 9418, 281, 971, 635, 16654, 4258, 711, 613, 12952, 4035, 7408, 7362 ]
[ 4019, 11391, 2245, 4559, 34831, 8470, 3997, 18, 365, 1511, 15459, 4454, 1207, 8818, 473, 293, 11749, 968, 31244, 17, 14149, 13, 4419, 5931, 289, 8099, 2630, 7550, 8049, 20605, 3979, 18, 365, 4810, 16, 282, 11525, 384, 43026, 6206, 685, 15817, 17604, 496, 10015, 282, 12221, 18, 11101, 16, 29381, 294, 478, 563, 29909, 375, 546, 1100, 910, 23751, 16, 374, 9326, 13593, 636, 10788, 282, 35351, 1747, 23222, 758, 30, 478, 822, 1000, 319, 289, 7099, 4075, 861, 478, 1358, 322, 2199, 12485, 13265, 33887, 18, 3397, 282, 1230, 1212, 5581, 292, 1698, 19111, 289, 1033, 3914, 448, 1749, 910, 510, 2548, 492, 18, 4199, 18820, 478, 563, 29909, 375, 546, 419, 470, 6640, 411, 1658, 6367, 16, 10398, 1409, 14886, 289, 34283, 18820, 16, 49038, 5856, 17719, 16, 282, 505, 2452, 11926, 1272, 14840, 478, 36327, 310, 508, 3372, 470, 1624, 12352, 2989, 4781, 22980, 8328, 11400, 478, 563, 29909, 375, 546, 419, 861, 8049, 20605, 3979, 8034, 282, 35677, 2172, 18820, 478, 563, 29909, 375, 546, 419, 470, 289, 282, 2343, 3750, 685, 49038, 1390, 17719, 282, 2875, 2287, 16249, 309, 1658, 1801, 282, 9878, 35351, 16, 1029, 840, 9272, 309, 16544, 547, 4784, 26862, 37001, 2241, 282, 2343, 4209, 18, 740, 282, 2343, 3990, 4770, 1175, 4263, 34550, 290, 42551, 5654, 1643, 6677, 5439, 289, 25215, 18034, 282, 7067, 292, 18820, 309, 34283, 670, 2020, 1378, 18820, 282, 7067, 292, 18820, 6271, 281, 1087, 819, 400, 339, 16, 24951, 282, 24886, 416, 6491, 18, 3197, 17251, 48534, 2125, 953, 5285, 4633, 411, 24653, 18820, 519, 430, 4189, 16, 25960, 6370, 16640, 18, 8049, 20605, 3979, 272, 639, 31192, 315, 12848, 15703, 478, 563, 29909, 375, 546, 419, 470, 289, 28240, 14243, 18, 29206, 10823, 6187, 478, 563, 29909, 375, 546, 419, 470, 2101, 637, 1789, 324, 1015, 3153, 478, 46088, 18, 8381, 910, 374, 282, 4675, 808, 10722, 11050, 7067, 18820, 1087, 21482, 24546, 41996, 6061, 34734, 1970, 1624, 1038, 2412, 1815, 3059, 49012, 8840, 18, 4756, 282, 3106, 34283, 18820, 282, 2172, 478, 563, 29909, 375, 546, 419, 470, 898, 5019, 2106, 15760, 8624, 12456, 8709, 28737, 17, 5493, 6070, 999, 1620, 609, 1624, 367, 1038, 1421, 24951, 34283, 8840, 510, 29846, 6187, 19007, 478, 677, 22254, 17, 4580, 1246, 470, 6070, 22277, 2440, 1624, 1789, 324, 1015, 289, 34734, 1970, 18, 824, 3163, 1789, 22420, 401, 16, 282, 1750, 13125, 542, 492, 519, 28545, 282, 35351, 478, 563, 29909, 375, 546, 419, 470, 4722, 3017, 510, 519, 16544, 434, 15160, 37001, 282, 4018, 1045, 18, 34734, 1970, 2548, 16, 374, 5019, 20671, 282, 2172, 18820, 478, 563, 29909, 375, 546, 419, 470, 10454, 13593, 636, 10788, 11450, 11204, 32889, 14886, 411, 1230, 1212, 32948, 18, 478, 4441, 23714, 4126, 16, 28872, 8876, 7556, 6066, 306, 330, 294, 3705, 910, 510, 3973, 492, 18, 2, 1, 87, 1456, 81, 2448, 30, 38900, 11831, 39896, 32704, 16607, 4027, 2422, 282, 9019, 1079, 9500, 304, 32210, 334, 7475, 1234, 11539, 18, 18720, 281, 6795, 2895, 496, 309, 16607, 1169, 3347, 28327, 26658, 10067, 620, 685, 2396, 637, 282, 33762, 36493, 411, 17, 431, 19599, 9492, 1489, 17506, 3714, 16275, 18, 31224, 30, 49999, 3714, 507, 282, 478, 630, 8596, 1212, 470, 12543, 281, 27516, 896, 432, 4664, 282, 3322, 4095, 2205, 1385, 19084, 292, 18, 365, 803, 1045, 15602, 451, 35335, 778, 2172, 473, 59, 11539, 13, 39936, 305, 3610, 17, 34891, 16, 2391, 35335, 1133, 5790, 22438, 8197, 9823, 7562, 289, 2250, 13878, 18, 35446, 411, 7953, 432, 12496, 523, 685, 3800, 349, 14015, 4027, 2145, 282, 9019, 1079, 9500, 304, 32210, 334, 7475, 1234, 11539, 8539, 50, 11539, 16, 282, 2114, 26390, 47143, 43249, 383, 23235, 11942, 395, 291, 289, 9783, 353, 526, 4048, 2561, 3602, 411, 2145, 18, 365, 2456, 3998, 4968, 47143, 12842, 1293, 810, 303, 1043, 506, 1634, 25467, 510, 282, 3198, 15168, 38611, 23235, 11942, 395, 291, 4167, 282, 284, 368, 347, 44639, 18, 2046, 481, 7242, 413, 5121, 1472, 44458, 510, 334, 35335, 272, 2955, 639, 2023, 16, 374, 492, 428, 17, 299, 21036, 18, 9967, 481, 687, 3238, 280, 1323, 18, 3771, 3141, 2780, 939, 3521, 315, 16, 367, 4836, 16, 2820, 11558, 309, 21480, 700, 21755, 16, 289, 349, 1293, 7264, 519, 3915, 40793, 21808, 505, 309, 4549, 490, 263, 26524, 17192, 282, 28928, 18, 22263, 6147, 2838, 289, 7007, 519, 9293, 1489, 6457, 434, 1612, 16, 515, 16044, 3508, 3800, 11011, 18, 832, 41263, 1769, 1188, 12793, 8300, 4968, 8600, 12665, 3800, 5854, 2543, 30407, 9005, 18, 365, 803, 10021, 750, 3893, 668, 8955, 27232, 5793, 2756, 16974, 4025, 332, 3340, 1624, 1586, 282, 15301, 36493, 10313, 4583, 8955, 1195, 38913, 11471, 761, 18, 1937, 16044, 17559, 30639, 16, 11854, 343, 1039, 6002, 977, 18, 5333, 2175, 16, 10067, 269, 289, 39896, 7451, 309, 1702, 9851, 16, 290, 10142, 448, 1189, 3334, 20954, 10665, 18, 2046, 519, 2742, 4968, 309, 1702, 9851, 4223, 17659, 451, 1702, 9851, 17, 15573, 268, 3045, 19209, 3495, 17098, 16, 1029, 10218, 14379, 15259, 16, 374, 745, 1314, 33897, 44724, 451, 3022, 282, 3182, 14922, 3714, 507, 510, 5590, 3714, 16275, 1188, 12496, 635, 2417, 3213, 15403, 18, 12975, 39896, 30827, 7227, 282, 3800, 939, 26761, 7279, 3276, 7978, 1525, 18, 29658, 32872, 16, 374, 2019, 10067, 287, 840, 14218, 506, 20081, 536, 11338, 30, 35335, 1943, 685, 19111, 1188, 3816, 761, 309, 309, 3165, 582, 477, 799, 7899, 18, 5333, 2175, 16, 30111, 7187, 32550, 1272, 19314, 735, 3714, 16275, 510, 478, 26577, 43998, 17816, 470, 289, 478, 983, 17579, 2128, 1742, 8339, 861, 2046, 16, 428, 481, 2669, 5106, 16, 374, 322, 16059, 322, 334, 22623, 16, 374, 17, 299, 988, 17, 299, 3600, 4688, 723, 365, 4784, 16, 10067, 269, 4223, 428, 475, 510, 16783, 18, 439, 1215, 32514, 3359, 3437, 9150, 879, 43087, 39896, 16, 6874, 5456, 4651, 294, 2856, 12118, 16, 7183, 7382, 18, 12622, 16, 428, 1494, 2019, 4027, 16079, 455, 16309, 1021, 18208, 951, 18208, 3463, 39648, 19, 40, 39, 18, 365, 4784, 16, 11338, 7820, 2702, 2250, 30757, 18, 985, 687, 12543, 3800, 16, 10067, 269, 1833, 575, 2513, 706, 282, 4781, 263, 16, 289, 481, 4813, 309, 502, 16, 1188, 12496, 635, 1514, 7595, 16, 374, 7291, 16, 478, 5442, 3180, 276, 496, 861, 740, 428, 12374, 16, 3907, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4019, 11391, 2245, 4559, 34831, 8470, 3997, 18, 365, 1511, 15459, 4454, 1207, 8818, 473, 293, 11749, 968, 31244, 17, 14149, 13, 4419, 5931, 289, 8099, 2630, 7550, 8049, 20605, 3979, 18, 365, 4810, 16, 282, 11525, 384, 43026, 6206, 685, 15817, 17604, 496, 10015, 282, 12221, 18, 11101, 16, 29381, 294, 478, 563, 29909, 375, 546, 1100, 910, 23751, 16, 374, 9326, 13593, 636, 10788, 282, 35351, 1747, 23222, 758, 30, 478, 822, 1000, 319, 289, 7099, 4075, 861, 478, 1358, 322, 2199, 12485, 13265, 33887, 18, 3397, 282, 1230, 1212, 5581, 292, 1698, 19111, 289, 1033, 3914, 448, 1749, 910, 510, 2548, 492, 18, 4199, 18820, 478, 563, 29909, 375, 546, 419, 470, 6640, 411, 1658, 6367, 16, 10398, 1409, 14886, 289, 34283, 18820, 16, 49038, 5856, 17719, 16, 282, 505, 2452, 11926, 1272, 14840, 478, 36327, 310, 508, 3372, 470, 1624, 12352, 2989, 4781, 22980, 8328, 11400, 478, 563, 29909, 375, 546, 419, 861, 8049, 20605, 3979, 8034, 282, 35677, 2172, 18820, 478, 563, 29909, 375, 546, 419, 470, 289, 282, 2343, 3750, 685, 49038, 1390, 17719, 282, 2875, 2287, 16249, 309, 1658, 1801, 282, 9878, 35351, 16, 1029, 840, 9272, 309, 16544, 547, 4784, 26862, 37001, 2241, 282, 2343, 4209, 18, 740, 282, 2343, 3990, 4770, 1175, 4263, 34550, 290, 42551, 5654, 1643, 6677, 5439, 289, 25215, 18034, 282, 7067, 292, 18820, 309, 34283, 670, 2020, 1378, 18820, 282, 7067, 292, 18820, 6271, 281, 1087, 819, 400, 339, 16, 24951, 282, 24886, 416, 6491, 18, 3197, 17251, 48534, 2125, 953, 5285, 4633, 411, 24653, 18820, 519, 430, 4189, 16, 25960, 6370, 16640, 18, 8049, 20605, 3979, 272, 639, 31192, 315, 12848, 15703, 478, 563, 29909, 375, 546, 419, 470, 289, 28240, 14243, 18, 29206, 10823, 6187, 478, 563, 29909, 375, 546, 419, 470, 2101, 637, 1789, 324, 1015, 3153, 478, 46088, 18, 8381, 910, 374, 282, 4675, 808, 10722, 11050, 7067, 18820, 1087, 21482, 24546, 41996, 6061, 34734, 1970, 1624, 1038, 2412, 1815, 3059, 49012, 8840, 18, 4756, 282, 3106, 34283, 18820, 282, 2172, 478, 563, 29909, 375, 546, 419, 470, 898, 5019, 2106, 15760, 8624, 12456, 8709, 28737, 17, 5493, 6070, 999, 1620, 609, 1624, 367, 1038, 1421, 24951, 34283, 8840, 510, 29846, 6187, 19007, 478, 677, 22254, 17, 4580, 1246, 470, 6070, 22277, 2440, 1624, 1789, 324, 1015, 289, 34734, 1970, 18, 824, 3163, 1789, 22420, 401, 16, 282, 1750, 13125, 542, 492, 519, 28545, 282, 35351, 478, 563, 29909, 375, 546, 419, 470, 4722, 3017, 510, 519, 16544, 434, 15160, 37001, 282, 4018, 1045, 18, 34734, 1970, 2548, 16, 374, 5019, 20671, 282, 2172, 18820, 478, 563, 29909, 375, 546, 419, 470, 10454, 13593, 636, 10788, 11450, 11204, 32889, 14886, 411, 1230, 1212, 32948, 18, 478, 4441, 23714, 4126, 16, 28872, 8876, 7556, 6066, 306, 330, 294, 3705, 910, 510, 3973, 492, 18, 2, 1, 87, 1456, 81, 2448, 30, 38900, 11831, 39896, 32704, 16607, 4027, 2422, 282, 9019, 1079, 9500, 304, 32210, 334, 7475, 1234, 11539, 18, 18720, 281, 6795, 2895, 496, 309, 16607, 1169, 3347, 28327, 26658, 10067, 620, 685, 2396, 637, 282, 33762, 36493, 411, 17, 431, 19599, 9492, 1489, 17506, 3714, 16275, 18, 31224, 30, 49999, 3714, 507, 282, 478, 630, 8596, 1212, 470, 12543, 281, 27516, 896, 432, 4664, 282, 3322, 4095, 2205, 1385, 19084, 292, 18, 365, 803, 1045, 15602, 451, 35335, 778, 2172, 473, 59, 11539, 13, 39936, 305, 3610, 17, 34891, 16, 2391, 35335, 1133, 5790, 22438, 8197, 9823, 7562, 289, 2250, 13878, 18, 35446, 411, 7953, 432, 12496, 523, 685, 3800, 349, 14015, 4027, 2145, 282, 9019, 1079, 9500, 304, 32210, 334, 7475, 1234, 11539, 8539, 50, 11539, 16, 282, 2114, 26390, 47143, 43249, 383, 23235, 11942, 395, 291, 289, 9783, 353, 526, 4048, 2561, 3602, 411, 2145, 18, 365, 2456, 3998, 4968, 47143, 12842, 1293, 810, 303, 1043, 506, 1634, 25467, 510, 282, 3198, 15168, 38611, 23235, 11942, 395, 291, 4167, 282, 284, 368, 347, 44639, 18, 2046, 481, 7242, 413, 5121, 1472, 44458, 510, 334, 35335, 272, 2955, 639, 2023, 16, 374, 492, 428, 17, 299, 21036, 18, 9967, 481, 687, 3238, 280, 1323, 18, 3771, 3141, 2780, 939, 3521, 315, 16, 367, 4836, 16, 2820, 11558, 309, 21480, 700, 21755, 16, 289, 349, 1293, 7264, 519, 3915, 40793, 21808, 505, 309, 4549, 490, 263, 26524, 17192, 282, 28928, 18, 22263, 6147, 2838, 289, 7007, 519, 9293, 1489, 6457, 434, 1612, 16, 515, 16044, 3508, 3800, 11011, 18, 832, 41263, 1769, 1188, 12793, 8300, 4968, 8600, 12665, 3800, 5854, 2543, 30407, 9005, 18, 365, 803, 10021, 750, 3893, 668, 8955, 27232, 5793, 2756, 16974, 4025, 332, 3340, 1624, 1586, 282, 15301, 36493, 10313, 4583, 8955, 1195, 38913, 11471, 761, 18, 1937, 16044, 17559, 30639, 16, 11854, 343, 1039, 6002, 977, 18, 5333, 2175, 16, 10067, 269, 289, 39896, 7451, 309, 1702, 9851, 16, 290, 10142, 448, 1189, 3334, 20954, 10665, 18, 2046, 519, 2742, 4968, 309, 1702, 9851, 4223, 17659, 451, 1702, 9851, 17, 15573, 268, 3045, 19209, 3495, 17098, 16, 1029, 10218, 14379, 15259, 16, 374, 745, 1314, 33897, 44724, 451, 3022, 282, 3182, 14922, 3714, 507, 510, 5590, 3714, 16275, 1188, 12496, 635, 2417, 3213, 15403, 18, 12975, 39896, 30827, 7227, 282, 3800, 939, 26761, 7279, 3276, 7978, 1525, 18, 29658, 32872, 16, 374, 2019, 10067, 287, 840, 14218, 506, 20081, 536, 11338, 30, 35335, 1943, 685, 19111, 1188, 3816, 761, 309, 309, 3165, 582, 477, 799, 7899, 18, 5333, 2175, 16, 30111, 7187, 32550, 1272, 19314, 735, 3714, 16275, 510, 478, 26577, 43998, 17816, 470, 289, 478, 983, 17579, 2128, 1742, 8339, 861, 2046, 16, 428, 481, 2669, 5106, 16, 374, 322, 16059, 322, 334, 22623, 16, 374, 17, 299, 988, 17, 299, 3600, 4688, 723, 365, 4784, 16, 10067, 269, 4223, 428, 475, 510, 16783, 18, 439, 1215, 32514, 3359, 3437, 9150, 879, 43087, 39896, 16, 6874, 5456, 4651, 294, 2856, 12118, 16, 7183, 7382, 18, 12622, 16, 428, 1494, 2019, 4027, 16079, 455, 16309, 1021, 18208, 951, 18208, 3463, 39648, 19, 40, 39, 18, 365, 4784, 16, 11338, 7820, 2702, 2250, 30757, 18, 985, 687, 12543, 3800, 16, 10067, 269, 1833, 575, 2513, 706, 282, 4781, 263, 16, 289, 481, 4813, 309, 502, 16, 1188, 12496, 635, 1514, 7595, 16, 374, 7291, 16, 478, 5442, 3180, 276, 496, 861, 740, 428, 12374, 16, 3907, 322 ]
[ 453, 2638, 18, 365, 502, 808, 16, 428, 39896, 6274, 3089, 22965, 638, 282, 25152, 16, 492, 41451, 47149, 5335, 18, 1681, 6398, 40793, 10067, 269, 7108, 35510, 29622, 9776, 355, 16602, 16, 1293, 411, 1639, 20317, 4380, 18, 9639, 575, 453, 3847, 10067, 269, 11531, 2195, 289, 567, 7422, 36493, 18, 740, 309, 1177, 445, 16, 975, 322, 11576, 28562, 746, 289, 492, 322, 2564, 9936, 11011, 9258, 4833, 17285, 16, 282, 3198, 1660, 4167, 282, 284, 368, 347, 44639, 18, 39896, 2838, 289, 15464, 3800, 281, 12080, 8085, 7595, 16, 29967, 2038, 16, 27478, 322, 42495, 18, 740, 3235, 978, 10390, 540, 16, 519, 16838, 26123, 40793, 12749, 322, 41433, 290, 6595, 17, 299, 8210, 1207, 30490, 4027, 18, 22432, 8302, 35147, 1360, 3196, 27299, 453, 9068, 289, 939, 28192, 18950, 937, 475, 13784, 39896, 18, 439, 282, 33762, 36493, 10067, 269, 5678, 4024, 16, 1660, 289, 9281, 42262, 18, 31577, 394, 46850, 2458, 15961, 16, 289, 1176, 411, 505, 49027, 4420, 523, 7730, 28327, 599, 623, 17821, 9492, 1357, 424, 5762, 1116, 21019, 18, 640, 1702, 9851, 22456, 1424, 5913, 289, 7259, 322, 15272, 10846, 30639, 18, 640, 2174, 3003, 34694, 939, 4953, 549, 15818, 10067, 287, 510, 4750, 639, 16, 374, 1333, 329, 1047, 764, 19225, 18, 365, 19468, 492, 279, 905, 531, 4752, 289, 2780, 22854, 47220, 46850, 15092, 30639, 18, 967, 803, 492, 322, 32933, 4612, 309, 502, 16, 374, 5913, 411, 1047, 9127, 5900, 281, 1574, 6919, 16, 374, 6748, 1909, 475, 2917, 510, 1702, 9851, 16, 7032, 4966, 16, 19142, 16, 367, 583, 11471, 685, 1992, 282, 4829, 16, 428, 11175, 15581, 18, 2046, 16, 3800, 685, 2396, 637, 18, 459, 10067, 269, 16, 2838, 289, 25469, 16, 895, 953, 17335, 2200, 3631, 3021, 16, 25871, 492, 939, 25669, 18, 4530, 11887, 16, 481, 13749, 289, 39896, 16, 1029, 1011, 9512, 4968, 6168, 2507, 21755, 18, 985, 492, 583, 14403, 16, 5138, 4968, 4167, 322, 3818, 27399, 18, 478, 30761, 373, 11723, 20850, 14679, 35328, 20472, 16, 367, 322, 32117, 16, 510, 1109, 492, 18, 510, 740, 17507, 16, 481, 3003, 12074, 16, 367, 322, 5633, 861, 5333, 2175, 16, 17711, 39896, 30682, 7640, 17, 306, 8955, 16, 289, 1472, 2845, 516, 322, 35328, 20472, 18, 22405, 281, 4778, 13280, 16264, 289, 19460, 942, 309, 7759, 3714, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 34275, 32446, 7316, 30483, 17, 4574, 49184, 5888, 778, 7065, 282, 6341, 5862, 6656, 18, 478, 13762, 331, 23994, 267, 21021, 10474, 19602, 470, 13619, 414, 349, 3961, 39724, 2241, 31755, 1018, 40425, 58, 38492, 18, 31224, 30, 26404, 29559, 12435, 1279, 9805, 38081, 3320, 478, 13762, 331, 23994, 267, 21021, 10474, 19602, 470, 349, 6807, 281, 7233, 39724, 11024, 31755, 1018, 40425, 58, 38492, 16, 3828, 13205, 41945, 18, 985, 1951, 3033, 6341, 5355, 18536, 22758, 1747, 35012, 1007, 31294, 282, 37208, 553, 2145, 18, 2949, 924, 16, 28343, 36228, 289, 6508, 4118, 17540, 16753, 8197, 15154, 281, 1498, 18, 640, 13519, 11056, 22294, 6677, 23127, 1642, 334, 23277, 45930, 6260, 9176, 2467, 19755, 16, 374, 28872, 19540, 3320, 1698, 9555, 424, 6341, 5613, 349, 478, 32058, 6037, 448, 2273, 8665, 553, 282, 4356, 473, 40000, 31755, 1018, 13, 5696, 507, 1789, 554, 331, 225, 861, 478, 4441, 3003, 10201, 16, 374, 2145, 2262, 13805, 3193, 282, 4599, 7796, 14412, 13597, 16, 961, 24445, 3672, 1789, 554, 331, 289, 30876, 3701, 825, 901, 3910, 289, 14151, 1147, 9350, 272, 16, 360, 1639, 24798, 2152, 31755, 1018, 910, 376, 5130, 282, 23032, 12130, 39722, 2145, 12458, 798, 421, 392, 1429, 18, 365, 23032, 11413, 16, 13462, 16, 374, 478, 13762, 331, 23994, 267, 21021, 10474, 19602, 470, 1623, 478, 39842, 6832, 311, 648, 304, 470, 541, 10342, 4830, 31755, 1018, 16, 13479, 32246, 8641, 9843, 40425, 58, 38492, 541, 24228, 7046, 4135, 18, 48371, 289, 25850, 19540, 22718, 478, 598, 394, 1166, 2630, 281, 10372, 33692, 536, 45203, 1789, 554, 331, 910, 282, 502, 808, 428, 31294, 478, 13762, 331, 23994, 507, 470, 29068, 16, 289, 7065, 478, 31713, 11478, 364, 12606, 1617, 41944, 3361, 281, 45203, 910, 376, 5130, 282, 23032, 18, 2949, 924, 16, 478, 13762, 331, 23994, 267, 21021, 10474, 19602, 470, 13334, 10095, 13858, 15861, 18951, 16, 1586, 4425, 1909, 28846, 7741, 49184, 5888, 680, 38775, 31804, 467, 276, 22480, 674, 18, 478, 730, 363, 564, 42557, 282, 22480, 674, 898, 4292, 10197, 294, 18202, 38775, 31804, 467, 276, 6929, 15771, 427, 4076, 309, 12056, 7741, 49184, 5888, 718, 5439, 282, 478, 13762, 331, 23994, 409, 910, 510, 6442, 282, 3569, 399, 1153, 2145, 18, 365, 2456, 20172, 4419, 36562, 16, 374, 322, 7393, 281, 38775, 31804, 467, 323, 22480, 674, 18, 4756, 10027, 38341, 3934, 576, 16, 374, 31755, 332, 381, 1454, 25207, 12435, 371, 3599, 32269, 281, 9609, 8709, 18, 19695, 289, 11583, 7741, 49184, 5888, 1133, 2241, 42502, 39594, 1717, 1248, 1047, 16, 1629, 576, 10958, 18, 640, 8285, 28197, 983, 478, 13762, 331, 23994, 267, 21021, 10474, 19602, 470, 541, 18942, 33099, 9206, 282, 5021, 1045, 685, 6065, 30483, 17, 4574, 49184, 5888, 778, 7065, 18, 2320, 1069, 876, 7923, 3929, 11819, 8764, 19602, 1624, 28737, 289, 7741, 49184, 5888, 778, 23092, 15185, 3281, 18, 28737, 289, 11819, 8764, 6838, 454, 17845, 4781, 22980, 1254, 282, 478, 13762, 331, 23994, 267, 21021, 10474, 6838, 582, 470, 473, 4691, 9, 15, 21, 21982, 329, 4286, 814, 3739, 13531, 16, 10257, 9, 17845, 7741, 49184, 5888, 2818, 1403, 14073, 30051, 554, 15185, 3281, 1149, 3220, 534, 715, 18, 37, 18, 42343, 549, 8967, 3164, 309, 23902, 2468, 2496, 5781, 6802, 334, 32613, 22240, 473, 12695, 5096, 2791, 814, 415, 32733, 276, 8709, 36275, 282, 3507, 16, 10056, 343, 409, 16, 25886, 1153, 16, 7323, 375, 547, 276, 267, 2557, 16, 33285, 1615, 2557, 16, 14524, 1136, 707, 289, 12595, 426, 18, 365, 3998, 3990, 45384, 16414, 4139, 10027, 860, 4977, 93, 1564, 477, 11226, 17, 35649, 932, 282, 2145, 8251, 4262, 475, 11791, 607, 478, 13762, 331, 23994, 507, 910, 2382, 2636, 481, 478, 29090, 9164, 1552, 4697, 43864, 861, 23440, 16414, 4139, 8183, 334, 478, 13762, 331, 23994, 1508, 470, 4753, 10027, 1149, 25628, 1075, 532, 5109, 2219, 576, 282, 11366, 11826, 779, 16, 3085, 6954, 16414, 8709, 309, 5066, 951, 15, 18, 20439, 4452, 281, 25173 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 453, 2638, 18, 365, 502, 808, 16, 428, 39896, 6274, 3089, 22965, 638, 282, 25152, 16, 492, 41451, 47149, 5335, 18, 1681, 6398, 40793, 10067, 269, 7108, 35510, 29622, 9776, 355, 16602, 16, 1293, 411, 1639, 20317, 4380, 18, 9639, 575, 453, 3847, 10067, 269, 11531, 2195, 289, 567, 7422, 36493, 18, 740, 309, 1177, 445, 16, 975, 322, 11576, 28562, 746, 289, 492, 322, 2564, 9936, 11011, 9258, 4833, 17285, 16, 282, 3198, 1660, 4167, 282, 284, 368, 347, 44639, 18, 39896, 2838, 289, 15464, 3800, 281, 12080, 8085, 7595, 16, 29967, 2038, 16, 27478, 322, 42495, 18, 740, 3235, 978, 10390, 540, 16, 519, 16838, 26123, 40793, 12749, 322, 41433, 290, 6595, 17, 299, 8210, 1207, 30490, 4027, 18, 22432, 8302, 35147, 1360, 3196, 27299, 453, 9068, 289, 939, 28192, 18950, 937, 475, 13784, 39896, 18, 439, 282, 33762, 36493, 10067, 269, 5678, 4024, 16, 1660, 289, 9281, 42262, 18, 31577, 394, 46850, 2458, 15961, 16, 289, 1176, 411, 505, 49027, 4420, 523, 7730, 28327, 599, 623, 17821, 9492, 1357, 424, 5762, 1116, 21019, 18, 640, 1702, 9851, 22456, 1424, 5913, 289, 7259, 322, 15272, 10846, 30639, 18, 640, 2174, 3003, 34694, 939, 4953, 549, 15818, 10067, 287, 510, 4750, 639, 16, 374, 1333, 329, 1047, 764, 19225, 18, 365, 19468, 492, 279, 905, 531, 4752, 289, 2780, 22854, 47220, 46850, 15092, 30639, 18, 967, 803, 492, 322, 32933, 4612, 309, 502, 16, 374, 5913, 411, 1047, 9127, 5900, 281, 1574, 6919, 16, 374, 6748, 1909, 475, 2917, 510, 1702, 9851, 16, 7032, 4966, 16, 19142, 16, 367, 583, 11471, 685, 1992, 282, 4829, 16, 428, 11175, 15581, 18, 2046, 16, 3800, 685, 2396, 637, 18, 459, 10067, 269, 16, 2838, 289, 25469, 16, 895, 953, 17335, 2200, 3631, 3021, 16, 25871, 492, 939, 25669, 18, 4530, 11887, 16, 481, 13749, 289, 39896, 16, 1029, 1011, 9512, 4968, 6168, 2507, 21755, 18, 985, 492, 583, 14403, 16, 5138, 4968, 4167, 322, 3818, 27399, 18, 478, 30761, 373, 11723, 20850, 14679, 35328, 20472, 16, 367, 322, 32117, 16, 510, 1109, 492, 18, 510, 740, 17507, 16, 481, 3003, 12074, 16, 367, 322, 5633, 861, 5333, 2175, 16, 17711, 39896, 30682, 7640, 17, 306, 8955, 16, 289, 1472, 2845, 516, 322, 35328, 20472, 18, 22405, 281, 4778, 13280, 16264, 289, 19460, 942, 309, 7759, 3714, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 34275, 32446, 7316, 30483, 17, 4574, 49184, 5888, 778, 7065, 282, 6341, 5862, 6656, 18, 478, 13762, 331, 23994, 267, 21021, 10474, 19602, 470, 13619, 414, 349, 3961, 39724, 2241, 31755, 1018, 40425, 58, 38492, 18, 31224, 30, 26404, 29559, 12435, 1279, 9805, 38081, 3320, 478, 13762, 331, 23994, 267, 21021, 10474, 19602, 470, 349, 6807, 281, 7233, 39724, 11024, 31755, 1018, 40425, 58, 38492, 16, 3828, 13205, 41945, 18, 985, 1951, 3033, 6341, 5355, 18536, 22758, 1747, 35012, 1007, 31294, 282, 37208, 553, 2145, 18, 2949, 924, 16, 28343, 36228, 289, 6508, 4118, 17540, 16753, 8197, 15154, 281, 1498, 18, 640, 13519, 11056, 22294, 6677, 23127, 1642, 334, 23277, 45930, 6260, 9176, 2467, 19755, 16, 374, 28872, 19540, 3320, 1698, 9555, 424, 6341, 5613, 349, 478, 32058, 6037, 448, 2273, 8665, 553, 282, 4356, 473, 40000, 31755, 1018, 13, 5696, 507, 1789, 554, 331, 225, 861, 478, 4441, 3003, 10201, 16, 374, 2145, 2262, 13805, 3193, 282, 4599, 7796, 14412, 13597, 16, 961, 24445, 3672, 1789, 554, 331, 289, 30876, 3701, 825, 901, 3910, 289, 14151, 1147, 9350, 272, 16, 360, 1639, 24798, 2152, 31755, 1018, 910, 376, 5130, 282, 23032, 12130, 39722, 2145, 12458, 798, 421, 392, 1429, 18, 365, 23032, 11413, 16, 13462, 16, 374, 478, 13762, 331, 23994, 267, 21021, 10474, 19602, 470, 1623, 478, 39842, 6832, 311, 648, 304, 470, 541, 10342, 4830, 31755, 1018, 16, 13479, 32246, 8641, 9843, 40425, 58, 38492, 541, 24228, 7046, 4135, 18, 48371, 289, 25850, 19540, 22718, 478, 598, 394, 1166, 2630, 281, 10372, 33692, 536, 45203, 1789, 554, 331, 910, 282, 502, 808, 428, 31294, 478, 13762, 331, 23994, 507, 470, 29068, 16, 289, 7065, 478, 31713, 11478, 364, 12606, 1617, 41944, 3361, 281, 45203, 910, 376, 5130, 282, 23032, 18, 2949, 924, 16, 478, 13762, 331, 23994, 267, 21021, 10474, 19602, 470, 13334, 10095, 13858, 15861, 18951, 16, 1586, 4425, 1909, 28846, 7741, 49184, 5888, 680, 38775, 31804, 467, 276, 22480, 674, 18, 478, 730, 363, 564, 42557, 282, 22480, 674, 898, 4292, 10197, 294, 18202, 38775, 31804, 467, 276, 6929, 15771, 427, 4076, 309, 12056, 7741, 49184, 5888, 718, 5439, 282, 478, 13762, 331, 23994, 409, 910, 510, 6442, 282, 3569, 399, 1153, 2145, 18, 365, 2456, 20172, 4419, 36562, 16, 374, 322, 7393, 281, 38775, 31804, 467, 323, 22480, 674, 18, 4756, 10027, 38341, 3934, 576, 16, 374, 31755, 332, 381, 1454, 25207, 12435, 371, 3599, 32269, 281, 9609, 8709, 18, 19695, 289, 11583, 7741, 49184, 5888, 1133, 2241, 42502, 39594, 1717, 1248, 1047, 16, 1629, 576, 10958, 18, 640, 8285, 28197, 983, 478, 13762, 331, 23994, 267, 21021, 10474, 19602, 470, 541, 18942, 33099, 9206, 282, 5021, 1045, 685, 6065, 30483, 17, 4574, 49184, 5888, 778, 7065, 18, 2320, 1069, 876, 7923, 3929, 11819, 8764, 19602, 1624, 28737, 289, 7741, 49184, 5888, 778, 23092, 15185, 3281, 18, 28737, 289, 11819, 8764, 6838, 454, 17845, 4781, 22980, 1254, 282, 478, 13762, 331, 23994, 267, 21021, 10474, 6838, 582, 470, 473, 4691, 9, 15, 21, 21982, 329, 4286, 814, 3739, 13531, 16, 10257, 9, 17845, 7741, 49184, 5888, 2818, 1403, 14073, 30051, 554, 15185, 3281, 1149, 3220, 534, 715, 18, 37, 18, 42343, 549, 8967, 3164, 309, 23902, 2468, 2496, 5781, 6802, 334, 32613, 22240, 473, 12695, 5096, 2791, 814, 415, 32733, 276, 8709, 36275, 282, 3507, 16, 10056, 343, 409, 16, 25886, 1153, 16, 7323, 375, 547, 276, 267, 2557, 16, 33285, 1615, 2557, 16, 14524, 1136, 707, 289, 12595, 426, 18, 365, 3998, 3990, 45384, 16414, 4139, 10027, 860, 4977, 93, 1564, 477, 11226, 17, 35649, 932, 282, 2145, 8251, 4262, 475, 11791, 607, 478, 13762, 331, 23994, 507, 910, 2382, 2636, 481, 478, 29090, 9164, 1552, 4697, 43864, 861, 23440, 16414, 4139, 8183, 334, 478, 13762, 331, 23994, 1508, 470, 4753, 10027, 1149, 25628, 1075, 532, 5109, 2219, 576, 282, 11366, 11826, 779, 16, 3085, 6954, 16414, 8709, 309, 5066, 951, 15, 18, 20439, 4452, 281, 25173 ]
[ 37794, 289, 2483, 758, 7741, 49184, 5888, 3334, 27383, 16, 367, 1038, 281, 14852, 758, 30483, 17, 4574, 49184, 5888, 3334, 44817, 18, 20439, 10008, 2341, 6726, 14303, 2423, 1349, 291, 7741, 49184, 5888, 933, 8138, 281, 697, 10343, 297, 9534, 16, 6895, 16495, 20569, 282, 4301, 13313, 42488, 3416, 18, 365, 2343, 3612, 26155, 779, 2145, 29559, 12435, 1279, 7741, 49184, 5888, 680, 39724, 2241, 40425, 58, 38492, 18, 22154, 20635, 3064, 4843, 27, 5096, 309, 722, 12056, 292, 18, 1598, 17, 431, 13951, 40425, 58, 38492, 12845, 33900, 282, 9802, 4843, 3572, 5096, 334, 8872, 779, 16, 289, 329, 2241, 6353, 48686, 847, 18836, 16, 2815, 4419, 16804, 4830, 2145, 334, 9526, 3623, 6260, 9176, 2467, 18, 4338, 2287, 3990, 1038, 2458, 14383, 2433, 448, 10286, 360, 1952, 1232, 18164, 21359, 40425, 58, 38492, 18, 824, 3163, 7978, 31755, 1018, 282, 1175, 12995, 4654, 30308, 22735, 727, 1394, 264, 8117, 299, 1013, 10056, 10926, 15279, 481, 2048, 282, 3178, 1949, 4776, 16, 478, 3927, 315, 282, 11366, 861, 4756, 31755, 332, 19352, 290, 30554, 22482, 8185, 411, 18161, 507, 48237, 282, 7522, 309, 8011, 30149, 1489, 32940, 281, 11173, 16678, 18, 2145, 8922, 530, 12435, 16, 753, 9422, 5836, 10108, 11944, 31755, 1018, 16, 31482, 8099, 6365, 2145, 25856, 421, 392, 1690, 18, 4756, 23101, 914, 726, 21161, 8693, 2822, 965, 12984, 31755, 1018, 12859, 2334, 6470, 686, 660, 18, 17135, 6677, 4000, 5696, 507, 1789, 554, 331, 289, 505, 27517, 2145, 29559, 12435, 764, 282, 2801, 1045, 18, 2, 1, 87, 1456, 81, 2448, 30, 36327, 49049, 309, 31930, 15939, 895, 18908, 4119, 28793, 12754, 541, 43065, 2898, 16, 36350, 4767, 4586, 400, 4364, 5040, 282, 4843, 5584, 349, 26650, 18, 740, 282, 11671, 1045, 5995, 20776, 3760, 411, 17, 431, 23872, 3193, 11418, 45904, 289, 34283, 13257, 334, 11176, 954, 19915, 18, 31224, 30, 30787, 309, 6152, 17622, 485, 27698, 4215, 13540, 627, 447, 473, 21, 16, 25, 443, 21, 16, 27, 3763, 49810, 282, 8729, 16, 2364, 491, 9, 6571, 934, 1241, 3430, 9988, 20597, 4119, 309, 30681, 5814, 18, 33955, 8034, 282, 45904, 1624, 1717, 282, 531, 3430, 680, 2667, 6755, 282, 12335, 6705, 779, 35170, 9744, 381, 11176, 763, 4999, 4981, 10960, 18, 3529, 16, 9705, 16, 745, 15174, 322, 27349, 14056, 411, 17, 431, 6688, 18924, 289, 29376, 29058, 16, 6309, 6379, 13639, 1519, 20992, 18, 478, 8407, 2736, 49642, 7080, 281, 26244, 620, 895, 31134, 25371, 309, 35394, 7043, 10960, 16, 1480, 17588, 4686, 23255, 519, 4843, 11629, 443, 11498, 349, 26650, 16, 367, 2512, 6261, 954, 294, 24880, 2364, 4843, 9348, 16, 334, 3538, 18412, 9486, 4486, 16447, 910, 510, 46340, 5037, 22029, 346, 15352, 478, 43, 4344, 534, 1021, 18682, 651, 32617, 300, 38505, 439, 780, 470, 6070, 4035, 1388, 18, 37225, 1133, 2553, 17548, 1867, 3361, 281, 26244, 620, 18, 365, 10666, 290, 17548, 546, 49642, 7080, 19645, 1833, 1833, 5270, 2044, 30, 21207, 1162, 18107, 274, 16, 21226, 1532, 268, 16, 20783, 1453, 37225, 1133, 625, 3905, 548, 473, 630, 45667, 934, 21620, 16, 31464, 286, 289, 2151, 9395, 18, 13925, 294, 1498, 34339, 9591, 488, 560, 18, 1241, 3430, 31439, 282, 46211, 848, 22366, 12384, 289, 12278, 17664, 285, 71, 761, 29922, 289, 41684, 16, 24951, 282, 9804, 18, 4320, 16, 9705, 16, 36350, 4767, 17273, 4110, 2702, 29095, 18, 6682, 924, 16, 7072, 309, 11460, 8093, 3760, 18, 20833, 7072, 43515, 379, 40999, 309, 6190, 2499, 31940, 1809, 21767, 34534, 41, 282, 14109, 21744, 7431, 4843, 6837, 16, 23, 16, 1830, 282, 3178, 2299, 678, 4388, 1154, 519, 4843, 3324, 16, 27, 18, 824, 3163, 12130, 22029, 346, 3594, 23061, 9526, 39132, 3623, 6816, 3551, 409, 12645, 16, 31965, 2898, 282, 11683, 430, 9, 282, 19145, 2299, 942, 322, 7099, 282, 8683, 16, 44505, 3014, 46000, 334, 8872, 4281, 1830, 373, 15597, 9909, 18, 478, 3743, 282, 22792, 14852, 448, 5995, 1698, 4586, 400, 1519, 5040, 282, 4843, 5584, 349, 26650, 910, 651, 18604, 2712, 12189, 18, 7743, 16, 8647, 16, 935, 322, 282, 2456, 26244, 298, 18, 3551, 409, 6265, 16405, 16, 374, 17632, 6439, 282, 31464, 1414, 16, 567, 33921, 8201, 339, 40515, 41938, 16, 988, 1241, 3430, 10211, 15349, 4770, 1133, 5445, 16, 367, 282, 37449, 4357, 4577, 16, 334, 4734, 2044, 16, 10102, 33780, 281, 1498, 3361, 16, 1229, 1486, 2154, 17664, 7309, 18, 478, 16385, 3872, 7260, 16, 374, 294, 1498, 12215, 1886, 2393, 4000, 16, 510, 41988, 3551, 409, 6265, 18, 651, 439, 481, 15156, 26659, 16, 374, 13013, 895, 6863, 289, 349, 14536, 31464, 798, 289, 309, 39724, 8275, 14828, 27648, 919, 3407, 726, 478, 418, 3626, 6336, 6321, 861, 22568, 281, 26244, 620, 25809, 289, 541, 1175, 18, 1591, 17, 7329, 16, 531, 3430, 778, 2303, 1623, 8972, 496, 7179, 309, 26476, 5538, 18, 385, 2107, 1963, 510, 531, 3430, 1133, 2764, 6498, 282, 478, 28828, 319, 470, 1624, 1069, 47784, 47377, 282, 1175, 39724, 2241, 282, 6104, 1045, 1559, 7188, 551, 1545, 10575, 1241, 23074, 18, 478, 677, 2630, 281, 2184, 2955, 5285, 2102, 16, 374, 1717, 3771, 840, 26387, 7670, 307, 4846, 36188, 282, 25909, 334, 43492, 7080, 1251, 11883, 3334, 17986, 910, 510, 5273, 3551, 409, 6265, 18, 2949, 924, 16, 31965, 43065, 2898, 28791, 541, 1175, 281, 4947, 4611, 49320, 23833, 18, 365, 11063, 8640, 11473, 26650, 6411, 23696, 24257, 289, 6891, 16, 453, 428, 1717, 282, 13198, 37828, 49038, 8394, 14852, 448, 41476, 18, 740, 16, 334, 3163, 8300, 29936, 899, 464, 486, 727, 1009, 504, 9827, 30236, 18509, 884, 16, 1055, 541, 10597, 2950, 374, 25190, 18, 478, 684, 1838, 1620, 282, 17185, 443, 5584, 2791, 349, 24257, 840, 3085, 12271, 519, 1110, 1326, 16, 1055, 322, 7636, 847, 19924, 1251, 13064, 758, 3429, 1082, 282, 2145, 289, 1175, 16, 510, 2548, 41330, 18, 510, 4635, 492, 9988, 1314, 28747, 4119, 282, 30764, 10301, 861, 14524, 343, 20286, 17906, 416, 2926, 2145, 4896, 430, 7418, 27200, 1185, 45, 38, 20524, 11673, 6802, 510, 430, 16, 28, 7418, 1655, 428, 4388, 622, 5781, 49857, 15046, 43670, 510, 1488, 5999, 5043, 16, 14440, 31965, 43065, 36350, 17534, 1038, 1698, 18908, 1423, 4119, 18, 967, 803, 3014, 15870, 16, 374, 5995, 309, 11460, 1698, 428, 14310, 411, 17, 431, 7019, 49049, 309, 31930, 15939, 16, 453, 289, 8249, 3585, 21778, 424, 17566 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 37794, 289, 2483, 758, 7741, 49184, 5888, 3334, 27383, 16, 367, 1038, 281, 14852, 758, 30483, 17, 4574, 49184, 5888, 3334, 44817, 18, 20439, 10008, 2341, 6726, 14303, 2423, 1349, 291, 7741, 49184, 5888, 933, 8138, 281, 697, 10343, 297, 9534, 16, 6895, 16495, 20569, 282, 4301, 13313, 42488, 3416, 18, 365, 2343, 3612, 26155, 779, 2145, 29559, 12435, 1279, 7741, 49184, 5888, 680, 39724, 2241, 40425, 58, 38492, 18, 22154, 20635, 3064, 4843, 27, 5096, 309, 722, 12056, 292, 18, 1598, 17, 431, 13951, 40425, 58, 38492, 12845, 33900, 282, 9802, 4843, 3572, 5096, 334, 8872, 779, 16, 289, 329, 2241, 6353, 48686, 847, 18836, 16, 2815, 4419, 16804, 4830, 2145, 334, 9526, 3623, 6260, 9176, 2467, 18, 4338, 2287, 3990, 1038, 2458, 14383, 2433, 448, 10286, 360, 1952, 1232, 18164, 21359, 40425, 58, 38492, 18, 824, 3163, 7978, 31755, 1018, 282, 1175, 12995, 4654, 30308, 22735, 727, 1394, 264, 8117, 299, 1013, 10056, 10926, 15279, 481, 2048, 282, 3178, 1949, 4776, 16, 478, 3927, 315, 282, 11366, 861, 4756, 31755, 332, 19352, 290, 30554, 22482, 8185, 411, 18161, 507, 48237, 282, 7522, 309, 8011, 30149, 1489, 32940, 281, 11173, 16678, 18, 2145, 8922, 530, 12435, 16, 753, 9422, 5836, 10108, 11944, 31755, 1018, 16, 31482, 8099, 6365, 2145, 25856, 421, 392, 1690, 18, 4756, 23101, 914, 726, 21161, 8693, 2822, 965, 12984, 31755, 1018, 12859, 2334, 6470, 686, 660, 18, 17135, 6677, 4000, 5696, 507, 1789, 554, 331, 289, 505, 27517, 2145, 29559, 12435, 764, 282, 2801, 1045, 18, 2, 1, 87, 1456, 81, 2448, 30, 36327, 49049, 309, 31930, 15939, 895, 18908, 4119, 28793, 12754, 541, 43065, 2898, 16, 36350, 4767, 4586, 400, 4364, 5040, 282, 4843, 5584, 349, 26650, 18, 740, 282, 11671, 1045, 5995, 20776, 3760, 411, 17, 431, 23872, 3193, 11418, 45904, 289, 34283, 13257, 334, 11176, 954, 19915, 18, 31224, 30, 30787, 309, 6152, 17622, 485, 27698, 4215, 13540, 627, 447, 473, 21, 16, 25, 443, 21, 16, 27, 3763, 49810, 282, 8729, 16, 2364, 491, 9, 6571, 934, 1241, 3430, 9988, 20597, 4119, 309, 30681, 5814, 18, 33955, 8034, 282, 45904, 1624, 1717, 282, 531, 3430, 680, 2667, 6755, 282, 12335, 6705, 779, 35170, 9744, 381, 11176, 763, 4999, 4981, 10960, 18, 3529, 16, 9705, 16, 745, 15174, 322, 27349, 14056, 411, 17, 431, 6688, 18924, 289, 29376, 29058, 16, 6309, 6379, 13639, 1519, 20992, 18, 478, 8407, 2736, 49642, 7080, 281, 26244, 620, 895, 31134, 25371, 309, 35394, 7043, 10960, 16, 1480, 17588, 4686, 23255, 519, 4843, 11629, 443, 11498, 349, 26650, 16, 367, 2512, 6261, 954, 294, 24880, 2364, 4843, 9348, 16, 334, 3538, 18412, 9486, 4486, 16447, 910, 510, 46340, 5037, 22029, 346, 15352, 478, 43, 4344, 534, 1021, 18682, 651, 32617, 300, 38505, 439, 780, 470, 6070, 4035, 1388, 18, 37225, 1133, 2553, 17548, 1867, 3361, 281, 26244, 620, 18, 365, 10666, 290, 17548, 546, 49642, 7080, 19645, 1833, 1833, 5270, 2044, 30, 21207, 1162, 18107, 274, 16, 21226, 1532, 268, 16, 20783, 1453, 37225, 1133, 625, 3905, 548, 473, 630, 45667, 934, 21620, 16, 31464, 286, 289, 2151, 9395, 18, 13925, 294, 1498, 34339, 9591, 488, 560, 18, 1241, 3430, 31439, 282, 46211, 848, 22366, 12384, 289, 12278, 17664, 285, 71, 761, 29922, 289, 41684, 16, 24951, 282, 9804, 18, 4320, 16, 9705, 16, 36350, 4767, 17273, 4110, 2702, 29095, 18, 6682, 924, 16, 7072, 309, 11460, 8093, 3760, 18, 20833, 7072, 43515, 379, 40999, 309, 6190, 2499, 31940, 1809, 21767, 34534, 41, 282, 14109, 21744, 7431, 4843, 6837, 16, 23, 16, 1830, 282, 3178, 2299, 678, 4388, 1154, 519, 4843, 3324, 16, 27, 18, 824, 3163, 12130, 22029, 346, 3594, 23061, 9526, 39132, 3623, 6816, 3551, 409, 12645, 16, 31965, 2898, 282, 11683, 430, 9, 282, 19145, 2299, 942, 322, 7099, 282, 8683, 16, 44505, 3014, 46000, 334, 8872, 4281, 1830, 373, 15597, 9909, 18, 478, 3743, 282, 22792, 14852, 448, 5995, 1698, 4586, 400, 1519, 5040, 282, 4843, 5584, 349, 26650, 910, 651, 18604, 2712, 12189, 18, 7743, 16, 8647, 16, 935, 322, 282, 2456, 26244, 298, 18, 3551, 409, 6265, 16405, 16, 374, 17632, 6439, 282, 31464, 1414, 16, 567, 33921, 8201, 339, 40515, 41938, 16, 988, 1241, 3430, 10211, 15349, 4770, 1133, 5445, 16, 367, 282, 37449, 4357, 4577, 16, 334, 4734, 2044, 16, 10102, 33780, 281, 1498, 3361, 16, 1229, 1486, 2154, 17664, 7309, 18, 478, 16385, 3872, 7260, 16, 374, 294, 1498, 12215, 1886, 2393, 4000, 16, 510, 41988, 3551, 409, 6265, 18, 651, 439, 481, 15156, 26659, 16, 374, 13013, 895, 6863, 289, 349, 14536, 31464, 798, 289, 309, 39724, 8275, 14828, 27648, 919, 3407, 726, 478, 418, 3626, 6336, 6321, 861, 22568, 281, 26244, 620, 25809, 289, 541, 1175, 18, 1591, 17, 7329, 16, 531, 3430, 778, 2303, 1623, 8972, 496, 7179, 309, 26476, 5538, 18, 385, 2107, 1963, 510, 531, 3430, 1133, 2764, 6498, 282, 478, 28828, 319, 470, 1624, 1069, 47784, 47377, 282, 1175, 39724, 2241, 282, 6104, 1045, 1559, 7188, 551, 1545, 10575, 1241, 23074, 18, 478, 677, 2630, 281, 2184, 2955, 5285, 2102, 16, 374, 1717, 3771, 840, 26387, 7670, 307, 4846, 36188, 282, 25909, 334, 43492, 7080, 1251, 11883, 3334, 17986, 910, 510, 5273, 3551, 409, 6265, 18, 2949, 924, 16, 31965, 43065, 2898, 28791, 541, 1175, 281, 4947, 4611, 49320, 23833, 18, 365, 11063, 8640, 11473, 26650, 6411, 23696, 24257, 289, 6891, 16, 453, 428, 1717, 282, 13198, 37828, 49038, 8394, 14852, 448, 41476, 18, 740, 16, 334, 3163, 8300, 29936, 899, 464, 486, 727, 1009, 504, 9827, 30236, 18509, 884, 16, 1055, 541, 10597, 2950, 374, 25190, 18, 478, 684, 1838, 1620, 282, 17185, 443, 5584, 2791, 349, 24257, 840, 3085, 12271, 519, 1110, 1326, 16, 1055, 322, 7636, 847, 19924, 1251, 13064, 758, 3429, 1082, 282, 2145, 289, 1175, 16, 510, 2548, 41330, 18, 510, 4635, 492, 9988, 1314, 28747, 4119, 282, 30764, 10301, 861, 14524, 343, 20286, 17906, 416, 2926, 2145, 4896, 430, 7418, 27200, 1185, 45, 38, 20524, 11673, 6802, 510, 430, 16, 28, 7418, 1655, 428, 4388, 622, 5781, 49857, 15046, 43670, 510, 1488, 5999, 5043, 16, 14440, 31965, 43065, 36350, 17534, 1038, 1698, 18908, 1423, 4119, 18, 967, 803, 3014, 15870, 16, 374, 5995, 309, 11460, 1698, 428, 14310, 411, 17, 431, 7019, 49049, 309, 31930, 15939, 16, 453, 289, 8249, 3585, 21778, 424, 17566 ]
[ 1888, 14006, 18, 6319, 318, 45904, 289, 1817, 10263, 17, 15207, 464, 20697, 1643, 473, 275, 970, 2875, 3771, 13, 2706, 3598, 17556, 32639, 519, 3915, 22652, 11826, 779, 8183, 11418, 334, 11176, 954, 19915, 10960, 16, 3168, 11581, 282, 2343, 4120, 18, 4635, 481, 12735, 19344, 282, 5572, 27068, 1290, 16906, 12703, 5995, 309, 5066, 4843, 3324, 443, 8042, 18, 740, 1003, 4302, 23363, 16, 374, 2644, 11418, 1747, 10681, 9488, 5022, 21298, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 4122, 10860, 3931, 282, 47408, 14213, 408, 29875, 49704, 24661, 47681, 1810, 334, 13464, 1508, 18, 1483, 24303, 14262, 281, 28385, 27031, 21583, 10570, 9061, 18, 31224, 30, 677, 47408, 14213, 408, 29875, 42158, 11364, 811, 40336, 1642, 4855, 2706, 510, 924, 2887, 16, 374, 1559, 5017, 4028, 13798, 21045, 15316, 2793, 1251, 42578, 17, 431, 2021, 15224, 289, 28385, 27031, 16, 2536, 401, 8309, 16161, 25944, 26240, 10860, 3931, 289, 3986, 420, 21481, 15324, 25005, 309, 2468, 21687, 1208, 2198, 6359, 18, 17944, 2511, 3990, 7932, 3047, 289, 14724, 281, 14560, 761, 2241, 478, 13637, 1917, 470, 10469, 7455, 15908, 1176, 19818, 937, 2296, 11817, 281, 16952, 38269, 21475, 16, 515, 1011, 23900, 8243, 5303, 475, 1810, 898, 14640, 2626, 18, 23656, 2241, 16144, 16, 374, 4247, 6549, 16, 3219, 38421, 40336, 16, 515, 39287, 697, 17245, 18, 478, 15883, 281, 4079, 289, 749, 10773, 6702, 309, 7573, 454, 282, 1683, 2602, 7190, 478, 13637, 1917, 470, 289, 31561, 2997, 478, 677, 26848, 470, 289, 4732, 10846, 40336, 1642, 910, 510, 10703, 478, 46088, 18, 8381, 470, 11309, 16008, 15160, 23918, 2847, 718, 3700, 10261, 32653, 283, 18, 1253, 14291, 16, 374, 9633, 5656, 281, 3781, 17, 12206, 628, 587, 399, 8012, 1312, 5607, 11088, 11997, 280, 12568, 289, 4511, 3391, 16, 374, 46739, 2959, 322, 282, 11069, 27477, 18, 824, 3352, 15479, 478, 32485, 18, 8381, 470, 282, 31678, 4534, 16, 478, 13637, 1917, 470, 3207, 32639, 963, 868, 309, 11506, 904, 749, 22812, 1465, 16, 367, 40336, 23188, 16, 322, 13349, 743, 26934, 2891, 18, 1367, 4214, 281, 48414, 9534, 478, 32485, 18, 8381, 470, 7190, 9835, 16, 3523, 16807, 2508, 309, 2468, 6059, 16, 17245, 18, 21683, 4440, 779, 914, 2706, 685, 3716, 3118, 29127, 286, 30, 18857, 555, 687, 2301, 3448, 289, 9246, 12497, 1846, 18, 365, 11130, 25835, 4210, 5452, 29845, 14640, 364, 8183, 963, 8604, 309, 40336, 519, 11769, 10445, 1810, 2574, 4699, 8424, 281, 5854, 1518, 41219, 289, 19385, 5363, 18, 478, 17603, 49704, 16144, 16, 374, 329, 1129, 912, 3003, 2574, 4699, 8424, 16, 515, 1335, 8424, 322, 639, 18, 439, 785, 1299, 12362, 27212, 1110, 16, 1085, 1122, 30533, 16, 2438, 6218, 16, 374, 505, 4037, 433, 440, 4646, 4110, 910, 510, 10703, 32653, 283, 18, 608, 15505, 14999, 2203, 16, 40076, 46233, 15139, 364, 3643, 16, 2500, 8148, 5825, 30, 478, 42945, 945, 1157, 6233, 13737, 1299, 16, 374, 773, 898, 11103, 2626, 4927, 5891, 4490, 6549, 309, 11506, 904, 16, 961, 5823, 282, 5305, 4666, 861, 3557, 322, 2619, 16, 334, 3163, 8306, 10226, 16, 537, 22300, 16, 537, 16338, 16, 537, 4407, 552, 16934, 50066, 21605, 19137, 4302, 6702, 49837, 322, 639, 18, 4824, 411, 6814, 6233, 16, 31327, 312, 1779, 309, 39973, 16, 30010, 315, 14403, 282, 970, 16, 374, 2490, 2035, 9181, 16, 2710, 6549, 6532, 3048, 758, 16, 367, 2710, 1003, 16, 329, 17390, 322, 639, 18, 1591, 2992, 11053, 2299, 36441, 41025, 1374, 30, 753, 2653, 24089, 3194, 13464, 1508, 16, 11309, 32653, 283, 12689, 424, 8092, 301, 48145, 1347, 18, 365, 2261, 18, 646, 15838, 6233, 349, 9262, 19668, 32277, 33904, 17745, 432, 7257, 289, 4253, 7086, 364, 697, 282, 415, 5246, 23918, 2847, 718, 3700, 16, 8977, 11309, 478, 46088, 18, 8381, 861, 365, 2261, 18, 3161, 2841, 549, 14724, 30759, 12035, 18, 30781, 2798, 266, 2917, 6359, 12543, 282, 6104, 1045, 30, 1585, 742, 1642, 31561, 2997, 478, 677, 26848, 470, 26474, 505, 3304, 400, 289, 603, 2074, 309, 803, 2468, 473, 264, 1038, 309, 2095, 2923, 30206, 24213, 12424, 13, 1409, 17, 34435, 914, 281, 1269, 45913, 1406, 9345, 416, 14114, 761, 18, 967, 803, 475, 6549, 329, 31561, 2997, 898, 282, 4666, 30, 4871, 685, 22342, 363, 5022, 584, 775, 5613, 16, 282, 970, 2875, 289, 1192, 1212, 25764, 3593, 18, 45598, 16, 374, 914, 2706, 282, 34491, 7868, 24186, 23298, 4534, 322, 8034, 31, 334, 3352, 478, 32485, 18, 8381, 910, 28759, 360, 18675, 1378, 7257, 290, 34460, 5943, 2409, 24186, 289, 24600, 23298, 282, 1192, 1212, 25764, 485, 322, 48273, 18, 967, 803, 282, 6104, 1045, 4786, 17965, 416, 22300, 567, 7410, 281, 6636, 2610, 6665, 979, 12440, 304, 6790, 977, 294, 2103, 10294, 10539, 26503, 34867, 434, 11413, 25682, 403, 1497, 291, 2818, 281, 16889, 2206, 290, 10833, 750, 8744, 2900, 20458, 18, 32159, 13062, 309, 481, 14255, 477, 1963, 1192, 1212, 25764, 746, 322, 29876, 18, 6592, 3352, 309, 3614, 11413, 16, 8664, 8085, 23202, 23298, 1623, 47600, 914, 510, 4855, 4055, 16, 29826, 430, 18, 403, 13464, 1508, 2706, 1642, 1192, 1212, 25764, 485, 14942, 1374, 4745, 16, 322, 19644, 282, 17343, 40696, 1329, 1279, 389, 6037, 434, 18, 478, 4529, 4236, 32894, 16, 3210, 16, 2483, 668, 18213, 18, 1735, 745, 475, 2897, 6976, 16, 8056, 475, 34743, 16, 510, 4848, 1655, 22294, 12130, 11413, 6363, 3782, 267, 3002, 375, 18, 510, 5227, 12062, 9961, 2710, 17, 299, 1749, 289, 9075, 3834, 2966, 3707, 2697, 1568, 416, 44381, 3416, 1888, 1512, 16, 2069, 23119, 309, 322, 8380, 8751, 773, 9482, 18, 31076, 3193, 2570, 806, 4436, 32277, 651, 481, 29142, 12006, 835, 1631, 861, 3397, 8044, 24213, 6582, 13731, 16, 753, 914, 4855, 2706, 685, 4522, 637, 282, 42394, 2100, 18, 478, 9676, 331, 649, 374, 17, 299, 6584, 289, 867, 1033, 7243, 17639, 1336, 1500, 4871, 16, 1029, 3957, 19385, 4961, 16, 1336, 1139, 4385, 30, 541, 37853, 294, 6661, 411, 25201, 291, 8633, 39076, 282, 491, 15052, 27499, 18, 1345, 289, 1314, 48018, 16, 8647, 16, 309, 2923, 19385, 7336, 910, 510, 45574, 32653, 283, 18, 4530, 867, 282, 12354, 4440, 779, 906, 15622, 39653, 16477, 334, 39081, 4699, 3416, 424, 8624, 1518, 2076, 277, 25210, 29111, 354, 38324, 905, 4086, 1624, 1586, 50057, 2453, 3675, 29264, 14014, 523, 933, 2252, 16, 4147, 1736, 668 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1888, 14006, 18, 6319, 318, 45904, 289, 1817, 10263, 17, 15207, 464, 20697, 1643, 473, 275, 970, 2875, 3771, 13, 2706, 3598, 17556, 32639, 519, 3915, 22652, 11826, 779, 8183, 11418, 334, 11176, 954, 19915, 10960, 16, 3168, 11581, 282, 2343, 4120, 18, 4635, 481, 12735, 19344, 282, 5572, 27068, 1290, 16906, 12703, 5995, 309, 5066, 4843, 3324, 443, 8042, 18, 740, 1003, 4302, 23363, 16, 374, 2644, 11418, 1747, 10681, 9488, 5022, 21298, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 4122, 10860, 3931, 282, 47408, 14213, 408, 29875, 49704, 24661, 47681, 1810, 334, 13464, 1508, 18, 1483, 24303, 14262, 281, 28385, 27031, 21583, 10570, 9061, 18, 31224, 30, 677, 47408, 14213, 408, 29875, 42158, 11364, 811, 40336, 1642, 4855, 2706, 510, 924, 2887, 16, 374, 1559, 5017, 4028, 13798, 21045, 15316, 2793, 1251, 42578, 17, 431, 2021, 15224, 289, 28385, 27031, 16, 2536, 401, 8309, 16161, 25944, 26240, 10860, 3931, 289, 3986, 420, 21481, 15324, 25005, 309, 2468, 21687, 1208, 2198, 6359, 18, 17944, 2511, 3990, 7932, 3047, 289, 14724, 281, 14560, 761, 2241, 478, 13637, 1917, 470, 10469, 7455, 15908, 1176, 19818, 937, 2296, 11817, 281, 16952, 38269, 21475, 16, 515, 1011, 23900, 8243, 5303, 475, 1810, 898, 14640, 2626, 18, 23656, 2241, 16144, 16, 374, 4247, 6549, 16, 3219, 38421, 40336, 16, 515, 39287, 697, 17245, 18, 478, 15883, 281, 4079, 289, 749, 10773, 6702, 309, 7573, 454, 282, 1683, 2602, 7190, 478, 13637, 1917, 470, 289, 31561, 2997, 478, 677, 26848, 470, 289, 4732, 10846, 40336, 1642, 910, 510, 10703, 478, 46088, 18, 8381, 470, 11309, 16008, 15160, 23918, 2847, 718, 3700, 10261, 32653, 283, 18, 1253, 14291, 16, 374, 9633, 5656, 281, 3781, 17, 12206, 628, 587, 399, 8012, 1312, 5607, 11088, 11997, 280, 12568, 289, 4511, 3391, 16, 374, 46739, 2959, 322, 282, 11069, 27477, 18, 824, 3352, 15479, 478, 32485, 18, 8381, 470, 282, 31678, 4534, 16, 478, 13637, 1917, 470, 3207, 32639, 963, 868, 309, 11506, 904, 749, 22812, 1465, 16, 367, 40336, 23188, 16, 322, 13349, 743, 26934, 2891, 18, 1367, 4214, 281, 48414, 9534, 478, 32485, 18, 8381, 470, 7190, 9835, 16, 3523, 16807, 2508, 309, 2468, 6059, 16, 17245, 18, 21683, 4440, 779, 914, 2706, 685, 3716, 3118, 29127, 286, 30, 18857, 555, 687, 2301, 3448, 289, 9246, 12497, 1846, 18, 365, 11130, 25835, 4210, 5452, 29845, 14640, 364, 8183, 963, 8604, 309, 40336, 519, 11769, 10445, 1810, 2574, 4699, 8424, 281, 5854, 1518, 41219, 289, 19385, 5363, 18, 478, 17603, 49704, 16144, 16, 374, 329, 1129, 912, 3003, 2574, 4699, 8424, 16, 515, 1335, 8424, 322, 639, 18, 439, 785, 1299, 12362, 27212, 1110, 16, 1085, 1122, 30533, 16, 2438, 6218, 16, 374, 505, 4037, 433, 440, 4646, 4110, 910, 510, 10703, 32653, 283, 18, 608, 15505, 14999, 2203, 16, 40076, 46233, 15139, 364, 3643, 16, 2500, 8148, 5825, 30, 478, 42945, 945, 1157, 6233, 13737, 1299, 16, 374, 773, 898, 11103, 2626, 4927, 5891, 4490, 6549, 309, 11506, 904, 16, 961, 5823, 282, 5305, 4666, 861, 3557, 322, 2619, 16, 334, 3163, 8306, 10226, 16, 537, 22300, 16, 537, 16338, 16, 537, 4407, 552, 16934, 50066, 21605, 19137, 4302, 6702, 49837, 322, 639, 18, 4824, 411, 6814, 6233, 16, 31327, 312, 1779, 309, 39973, 16, 30010, 315, 14403, 282, 970, 16, 374, 2490, 2035, 9181, 16, 2710, 6549, 6532, 3048, 758, 16, 367, 2710, 1003, 16, 329, 17390, 322, 639, 18, 1591, 2992, 11053, 2299, 36441, 41025, 1374, 30, 753, 2653, 24089, 3194, 13464, 1508, 16, 11309, 32653, 283, 12689, 424, 8092, 301, 48145, 1347, 18, 365, 2261, 18, 646, 15838, 6233, 349, 9262, 19668, 32277, 33904, 17745, 432, 7257, 289, 4253, 7086, 364, 697, 282, 415, 5246, 23918, 2847, 718, 3700, 16, 8977, 11309, 478, 46088, 18, 8381, 861, 365, 2261, 18, 3161, 2841, 549, 14724, 30759, 12035, 18, 30781, 2798, 266, 2917, 6359, 12543, 282, 6104, 1045, 30, 1585, 742, 1642, 31561, 2997, 478, 677, 26848, 470, 26474, 505, 3304, 400, 289, 603, 2074, 309, 803, 2468, 473, 264, 1038, 309, 2095, 2923, 30206, 24213, 12424, 13, 1409, 17, 34435, 914, 281, 1269, 45913, 1406, 9345, 416, 14114, 761, 18, 967, 803, 475, 6549, 329, 31561, 2997, 898, 282, 4666, 30, 4871, 685, 22342, 363, 5022, 584, 775, 5613, 16, 282, 970, 2875, 289, 1192, 1212, 25764, 3593, 18, 45598, 16, 374, 914, 2706, 282, 34491, 7868, 24186, 23298, 4534, 322, 8034, 31, 334, 3352, 478, 32485, 18, 8381, 910, 28759, 360, 18675, 1378, 7257, 290, 34460, 5943, 2409, 24186, 289, 24600, 23298, 282, 1192, 1212, 25764, 485, 322, 48273, 18, 967, 803, 282, 6104, 1045, 4786, 17965, 416, 22300, 567, 7410, 281, 6636, 2610, 6665, 979, 12440, 304, 6790, 977, 294, 2103, 10294, 10539, 26503, 34867, 434, 11413, 25682, 403, 1497, 291, 2818, 281, 16889, 2206, 290, 10833, 750, 8744, 2900, 20458, 18, 32159, 13062, 309, 481, 14255, 477, 1963, 1192, 1212, 25764, 746, 322, 29876, 18, 6592, 3352, 309, 3614, 11413, 16, 8664, 8085, 23202, 23298, 1623, 47600, 914, 510, 4855, 4055, 16, 29826, 430, 18, 403, 13464, 1508, 2706, 1642, 1192, 1212, 25764, 485, 14942, 1374, 4745, 16, 322, 19644, 282, 17343, 40696, 1329, 1279, 389, 6037, 434, 18, 478, 4529, 4236, 32894, 16, 3210, 16, 2483, 668, 18213, 18, 1735, 745, 475, 2897, 6976, 16, 8056, 475, 34743, 16, 510, 4848, 1655, 22294, 12130, 11413, 6363, 3782, 267, 3002, 375, 18, 510, 5227, 12062, 9961, 2710, 17, 299, 1749, 289, 9075, 3834, 2966, 3707, 2697, 1568, 416, 44381, 3416, 1888, 1512, 16, 2069, 23119, 309, 322, 8380, 8751, 773, 9482, 18, 31076, 3193, 2570, 806, 4436, 32277, 651, 481, 29142, 12006, 835, 1631, 861, 3397, 8044, 24213, 6582, 13731, 16, 753, 914, 4855, 2706, 685, 4522, 637, 282, 42394, 2100, 18, 478, 9676, 331, 649, 374, 17, 299, 6584, 289, 867, 1033, 7243, 17639, 1336, 1500, 4871, 16, 1029, 3957, 19385, 4961, 16, 1336, 1139, 4385, 30, 541, 37853, 294, 6661, 411, 25201, 291, 8633, 39076, 282, 491, 15052, 27499, 18, 1345, 289, 1314, 48018, 16, 8647, 16, 309, 2923, 19385, 7336, 910, 510, 45574, 32653, 283, 18, 4530, 867, 282, 12354, 4440, 779, 906, 15622, 39653, 16477, 334, 39081, 4699, 3416, 424, 8624, 1518, 2076, 277, 25210, 29111, 354, 38324, 905, 4086, 1624, 1586, 50057, 2453, 3675, 29264, 14014, 523, 933, 2252, 16, 4147, 1736, 668 ]
[ 478, 1499, 267, 416, 470, 473, 853, 2897, 10496, 40336, 11248, 4502, 11881, 12424, 814, 365, 3655, 2452, 9311, 33904, 17745, 1157, 360, 478, 43750, 21100, 470, 289, 14425, 630, 672, 14174, 16, 367, 282, 26999, 381, 722, 9643, 639, 23362, 16, 374, 678, 840, 13880, 475, 1791, 448, 281, 4947, 4611, 33904, 17745, 276, 18852, 4534, 18, 9432, 8424, 9601, 282, 11023, 4440, 779, 16, 515, 360, 3741, 15506, 291, 289, 13464, 1015, 678, 322, 40464, 18, 5161, 16, 309, 1420, 322, 4502, 2195, 1247, 478, 29392, 718, 2422, 470, 670, 31819, 478, 13781, 910, 334, 5083, 1639, 33904, 17745, 1157, 2944, 35360, 27051, 18, 985, 4848, 478, 46088, 18, 8381, 470, 10914, 755, 478, 43750, 21100, 470, 289, 3203, 39081, 4699, 8424, 10121, 8993, 16, 322, 906, 10954, 798, 309, 1710, 289, 6439, 1642, 282, 47408, 14213, 408, 29875, 18, 478, 3096, 5829, 1329, 31138, 282, 803, 2784, 2376, 30, 2174, 8206, 16, 374, 5314, 887, 11249, 3915, 10144, 289, 7969, 39081, 7124, 11268, 34344, 2915, 16, 294, 8459, 10645, 395, 910, 510, 4725, 492, 18, 8993, 13744, 16, 374, 289, 282, 6104, 1045, 33905, 46743, 10744, 25350, 11944, 381, 7963, 546, 1209, 3219, 8895, 309, 40336, 281, 21840, 2095, 2001, 16, 1011, 1660, 898, 29127, 1007, 914, 309, 12540, 48798, 50045, 289, 28711, 10231, 282, 20218, 636, 19792, 291, 933, 282, 24471, 38893, 42158, 18, 478, 36250, 16, 309, 12540, 48798, 50045, 726, 32641, 6584, 8794, 16, 15737, 2024, 428, 8396, 282, 11888, 4570, 6245, 7267, 505, 34559, 548, 16, 510, 481, 294, 11135, 290, 970, 16, 374, 1441, 475, 840, 1718, 1920, 282, 1110, 575, 11808, 2244, 16, 374, 289, 29127, 1453, 26240, 910, 510, 4848, 492, 289, 5692, 16, 374, 1314, 9457, 4286, 24600, 1642, 28869, 282, 33748, 289, 27376, 6911, 46464, 334, 9017, 411, 31095, 18, 824, 505, 4734, 16, 481, 289, 912, 17632, 6439, 25350, 26416, 18, 478, 677, 1574, 4096, 322, 895, 953, 7045, 20835, 282, 42208, 21840, 4534, 18, 7115, 286, 23965, 4958, 4797, 10984, 309, 32100, 5066, 16, 1029, 28726, 373, 10579, 21840, 37118, 289, 22289, 722, 17926, 16, 581, 289, 2291, 13022, 478, 25437, 3384, 19385, 343, 470, 3891, 7502, 552, 484, 3872, 46658, 910, 510, 18789, 8993, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 13613, 8486, 3436, 17, 1071, 2232, 32430, 343, 1087, 10614, 3302, 18, 14068, 831, 16, 14265, 16, 37417, 11758, 10547, 289, 8811, 25383, 5119, 4586, 1100, 467, 1279, 2559, 5439, 334, 5009, 11188, 7143, 434, 41177, 510, 37455, 43460, 289, 17714, 17411, 18, 640, 2846, 4177, 294, 1439, 285, 6822, 12215, 1886, 5447, 488, 436, 305, 1477, 276, 16, 411, 17, 431, 1660, 7218, 539, 8149, 1195, 19297, 840, 45457, 18, 31224, 30, 677, 11946, 16, 1409, 3802, 16, 282, 13613, 8192, 3436, 17, 1071, 2232, 11357, 3222, 32430, 343, 1087, 10614, 3302, 16, 961, 4586, 1100, 467, 1279, 2559, 5439, 334, 5009, 11188, 41177, 10059, 16, 13573, 294, 35289, 17411, 289, 32084, 43460, 18, 365, 1069, 4678, 19762, 21005, 3455, 13380, 9759, 3140, 16, 14265, 16, 8811, 34388, 9573, 1437, 289, 8347, 21746, 18, 403, 32430, 582, 12215, 1886, 289, 5447, 488, 436, 305, 1477, 276, 510, 428, 45670, 41753, 18381, 1624, 309, 2846, 4177, 18, 385, 1760, 18, 646, 519, 667, 18, 646, 473, 3902, 18, 646, 510, 667, 18, 646, 21014, 13, 7218, 539, 8149, 1195, 6211, 2206, 840, 45457, 18, 985, 6442, 10552, 7190, 14795, 14925, 32948, 2553, 510, 45460, 9905, 289, 776, 73, 2316, 517, 45039, 510, 6442, 381, 38545, 289, 10659, 263, 2364, 3610, 1634, 38618, 18, 7758, 16, 334, 3761, 1273, 27971, 15402, 24639, 16, 9650, 1007, 15680, 9246, 38618, 16, 12674, 1007, 8653, 9246, 289, 12151, 10830, 38618, 18, 1397, 5327, 32671, 42070, 478, 38654, 8366, 470, 5343, 510, 28396, 318, 510, 5343, 16, 492, 1943, 953, 27253, 334, 16799, 1433, 30, 3500, 2722, 715, 57, 6894, 25, 282, 3368, 4846, 18168, 6517, 4684, 309, 2287, 18, 8042, 334, 30367, 1612, 473, 2783, 18, 8042, 21014, 934, 367, 10212, 715, 57, 6894, 26, 282, 7522, 510, 282, 2511, 18, 4691, 334, 30367, 1612, 473, 3940, 18, 4691, 21014, 814, 23412, 755, 47849, 32430, 382, 16, 1586, 4040, 726, 41386, 334, 14540, 282, 13613, 281, 2742, 4479, 779, 16, 510, 36802, 282, 4008, 30292, 1087, 10614, 3302, 40016, 30640, 61, 18, 365, 11946, 322, 1747, 3624, 18909, 5308, 289, 15064, 16, 708, 331, 802, 3333, 28174, 12892, 16, 322, 39555, 309, 2768, 14532, 3793, 11758, 10547, 18, 15417, 5347, 375, 7896, 45882, 30, 282, 5214, 10208, 39700, 11506, 1949, 8334, 24268, 1798, 18, 2450, 10614, 3793, 4586, 1100, 467, 1279, 24562, 43460, 16, 2486, 329, 3725, 20542, 23523, 12512, 790, 36296, 16, 37455, 45792, 289, 7019, 34388, 42720, 18, 403, 1218, 36918, 536, 329, 4186, 557, 2381, 27326, 27526, 4076, 9770, 2553, 639, 5458, 1569, 12062, 10125, 282, 7544, 309, 8156, 16, 1413, 7539, 4008, 24393, 304, 289, 7255, 536, 8204, 536, 48658, 473, 29731, 1182, 814, 39166, 549, 25061, 16, 2282, 342, 4749, 40632, 37755, 16, 282, 4810, 16, 20165, 13367, 45452, 6764, 281, 5259, 519, 12662, 986, 16, 26326, 564, 1209, 2511, 9501, 432, 24297, 282, 816, 11131, 16, 367, 1038, 24560, 28029, 349, 387, 2987, 877, 986, 282, 11099, 309, 1409, 5999, 4185, 3604, 11325, 22893, 16, 1441, 2881, 39245, 322, 2619, 4317, 986, 473, 33993, 2702, 639, 360, 8807, 6603, 986, 814, 1895, 10568, 282, 1767, 31381, 12670, 6645, 5832, 541, 42335, 4126, 40158, 289, 12998, 20555, 519, 13671, 7307, 5040, 41759, 19304, 1087, 10614, 3302, 18, 824, 25036, 14971, 17, 40868, 1356, 16, 8922, 1967, 2559, 17968, 1957, 16, 4345, 38835, 895, 9555, 282, 15861, 33436, 18, 1178, 8768, 322, 2027, 3213, 2644, 7597, 289, 35058, 16, 1450, 16684, 39888, 266, 18, 832, 8108, 812, 735, 5800, 281, 2742, 779, 44661, 289, 33462, 11815, 726, 322, 445, 8105, 2919, 25694, 1082, 18, 365, 11366, 21982, 19762, 590, 34256, 282, 36213, 281, 31775, 16, 16805, 6276, 411, 17, 1567, 8390, 18, 7075, 1631, 9100, 16, 764, 13908, 19299, 16, 2496, 20883, 4518, 17390, 18, 44881, 4220, 5823, 4322, 289, 1871, 4109, 360, 9817, 519, 8653, 986, 16, 8811, 367, 6436, 718, 8709, 16, 8185, 2024, 1763, 648, 414, 7378, 1082, 281, 28614, 4946, 43028, 18, 889, 5487, 15543, 24268, 1798, 282, 13613, 349, 4101, 1939, 986, 16, 6442, 1655 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 478, 1499, 267, 416, 470, 473, 853, 2897, 10496, 40336, 11248, 4502, 11881, 12424, 814, 365, 3655, 2452, 9311, 33904, 17745, 1157, 360, 478, 43750, 21100, 470, 289, 14425, 630, 672, 14174, 16, 367, 282, 26999, 381, 722, 9643, 639, 23362, 16, 374, 678, 840, 13880, 475, 1791, 448, 281, 4947, 4611, 33904, 17745, 276, 18852, 4534, 18, 9432, 8424, 9601, 282, 11023, 4440, 779, 16, 515, 360, 3741, 15506, 291, 289, 13464, 1015, 678, 322, 40464, 18, 5161, 16, 309, 1420, 322, 4502, 2195, 1247, 478, 29392, 718, 2422, 470, 670, 31819, 478, 13781, 910, 334, 5083, 1639, 33904, 17745, 1157, 2944, 35360, 27051, 18, 985, 4848, 478, 46088, 18, 8381, 470, 10914, 755, 478, 43750, 21100, 470, 289, 3203, 39081, 4699, 8424, 10121, 8993, 16, 322, 906, 10954, 798, 309, 1710, 289, 6439, 1642, 282, 47408, 14213, 408, 29875, 18, 478, 3096, 5829, 1329, 31138, 282, 803, 2784, 2376, 30, 2174, 8206, 16, 374, 5314, 887, 11249, 3915, 10144, 289, 7969, 39081, 7124, 11268, 34344, 2915, 16, 294, 8459, 10645, 395, 910, 510, 4725, 492, 18, 8993, 13744, 16, 374, 289, 282, 6104, 1045, 33905, 46743, 10744, 25350, 11944, 381, 7963, 546, 1209, 3219, 8895, 309, 40336, 281, 21840, 2095, 2001, 16, 1011, 1660, 898, 29127, 1007, 914, 309, 12540, 48798, 50045, 289, 28711, 10231, 282, 20218, 636, 19792, 291, 933, 282, 24471, 38893, 42158, 18, 478, 36250, 16, 309, 12540, 48798, 50045, 726, 32641, 6584, 8794, 16, 15737, 2024, 428, 8396, 282, 11888, 4570, 6245, 7267, 505, 34559, 548, 16, 510, 481, 294, 11135, 290, 970, 16, 374, 1441, 475, 840, 1718, 1920, 282, 1110, 575, 11808, 2244, 16, 374, 289, 29127, 1453, 26240, 910, 510, 4848, 492, 289, 5692, 16, 374, 1314, 9457, 4286, 24600, 1642, 28869, 282, 33748, 289, 27376, 6911, 46464, 334, 9017, 411, 31095, 18, 824, 505, 4734, 16, 481, 289, 912, 17632, 6439, 25350, 26416, 18, 478, 677, 1574, 4096, 322, 895, 953, 7045, 20835, 282, 42208, 21840, 4534, 18, 7115, 286, 23965, 4958, 4797, 10984, 309, 32100, 5066, 16, 1029, 28726, 373, 10579, 21840, 37118, 289, 22289, 722, 17926, 16, 581, 289, 2291, 13022, 478, 25437, 3384, 19385, 343, 470, 3891, 7502, 552, 484, 3872, 46658, 910, 510, 18789, 8993, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 13613, 8486, 3436, 17, 1071, 2232, 32430, 343, 1087, 10614, 3302, 18, 14068, 831, 16, 14265, 16, 37417, 11758, 10547, 289, 8811, 25383, 5119, 4586, 1100, 467, 1279, 2559, 5439, 334, 5009, 11188, 7143, 434, 41177, 510, 37455, 43460, 289, 17714, 17411, 18, 640, 2846, 4177, 294, 1439, 285, 6822, 12215, 1886, 5447, 488, 436, 305, 1477, 276, 16, 411, 17, 431, 1660, 7218, 539, 8149, 1195, 19297, 840, 45457, 18, 31224, 30, 677, 11946, 16, 1409, 3802, 16, 282, 13613, 8192, 3436, 17, 1071, 2232, 11357, 3222, 32430, 343, 1087, 10614, 3302, 16, 961, 4586, 1100, 467, 1279, 2559, 5439, 334, 5009, 11188, 41177, 10059, 16, 13573, 294, 35289, 17411, 289, 32084, 43460, 18, 365, 1069, 4678, 19762, 21005, 3455, 13380, 9759, 3140, 16, 14265, 16, 8811, 34388, 9573, 1437, 289, 8347, 21746, 18, 403, 32430, 582, 12215, 1886, 289, 5447, 488, 436, 305, 1477, 276, 510, 428, 45670, 41753, 18381, 1624, 309, 2846, 4177, 18, 385, 1760, 18, 646, 519, 667, 18, 646, 473, 3902, 18, 646, 510, 667, 18, 646, 21014, 13, 7218, 539, 8149, 1195, 6211, 2206, 840, 45457, 18, 985, 6442, 10552, 7190, 14795, 14925, 32948, 2553, 510, 45460, 9905, 289, 776, 73, 2316, 517, 45039, 510, 6442, 381, 38545, 289, 10659, 263, 2364, 3610, 1634, 38618, 18, 7758, 16, 334, 3761, 1273, 27971, 15402, 24639, 16, 9650, 1007, 15680, 9246, 38618, 16, 12674, 1007, 8653, 9246, 289, 12151, 10830, 38618, 18, 1397, 5327, 32671, 42070, 478, 38654, 8366, 470, 5343, 510, 28396, 318, 510, 5343, 16, 492, 1943, 953, 27253, 334, 16799, 1433, 30, 3500, 2722, 715, 57, 6894, 25, 282, 3368, 4846, 18168, 6517, 4684, 309, 2287, 18, 8042, 334, 30367, 1612, 473, 2783, 18, 8042, 21014, 934, 367, 10212, 715, 57, 6894, 26, 282, 7522, 510, 282, 2511, 18, 4691, 334, 30367, 1612, 473, 3940, 18, 4691, 21014, 814, 23412, 755, 47849, 32430, 382, 16, 1586, 4040, 726, 41386, 334, 14540, 282, 13613, 281, 2742, 4479, 779, 16, 510, 36802, 282, 4008, 30292, 1087, 10614, 3302, 40016, 30640, 61, 18, 365, 11946, 322, 1747, 3624, 18909, 5308, 289, 15064, 16, 708, 331, 802, 3333, 28174, 12892, 16, 322, 39555, 309, 2768, 14532, 3793, 11758, 10547, 18, 15417, 5347, 375, 7896, 45882, 30, 282, 5214, 10208, 39700, 11506, 1949, 8334, 24268, 1798, 18, 2450, 10614, 3793, 4586, 1100, 467, 1279, 24562, 43460, 16, 2486, 329, 3725, 20542, 23523, 12512, 790, 36296, 16, 37455, 45792, 289, 7019, 34388, 42720, 18, 403, 1218, 36918, 536, 329, 4186, 557, 2381, 27326, 27526, 4076, 9770, 2553, 639, 5458, 1569, 12062, 10125, 282, 7544, 309, 8156, 16, 1413, 7539, 4008, 24393, 304, 289, 7255, 536, 8204, 536, 48658, 473, 29731, 1182, 814, 39166, 549, 25061, 16, 2282, 342, 4749, 40632, 37755, 16, 282, 4810, 16, 20165, 13367, 45452, 6764, 281, 5259, 519, 12662, 986, 16, 26326, 564, 1209, 2511, 9501, 432, 24297, 282, 816, 11131, 16, 367, 1038, 24560, 28029, 349, 387, 2987, 877, 986, 282, 11099, 309, 1409, 5999, 4185, 3604, 11325, 22893, 16, 1441, 2881, 39245, 322, 2619, 4317, 986, 473, 33993, 2702, 639, 360, 8807, 6603, 986, 814, 1895, 10568, 282, 1767, 31381, 12670, 6645, 5832, 541, 42335, 4126, 40158, 289, 12998, 20555, 519, 13671, 7307, 5040, 41759, 19304, 1087, 10614, 3302, 18, 824, 25036, 14971, 17, 40868, 1356, 16, 8922, 1967, 2559, 17968, 1957, 16, 4345, 38835, 895, 9555, 282, 15861, 33436, 18, 1178, 8768, 322, 2027, 3213, 2644, 7597, 289, 35058, 16, 1450, 16684, 39888, 266, 18, 832, 8108, 812, 735, 5800, 281, 2742, 779, 44661, 289, 33462, 11815, 726, 322, 445, 8105, 2919, 25694, 1082, 18, 365, 11366, 21982, 19762, 590, 34256, 282, 36213, 281, 31775, 16, 16805, 6276, 411, 17, 1567, 8390, 18, 7075, 1631, 9100, 16, 764, 13908, 19299, 16, 2496, 20883, 4518, 17390, 18, 44881, 4220, 5823, 4322, 289, 1871, 4109, 360, 9817, 519, 8653, 986, 16, 8811, 367, 6436, 718, 8709, 16, 8185, 2024, 1763, 648, 414, 7378, 1082, 281, 28614, 4946, 43028, 18, 889, 5487, 15543, 24268, 1798, 282, 13613, 349, 4101, 1939, 986, 16, 6442, 1655 ]
[ 10786, 2891, 18, 2, 1, 87, 1456, 81, 2448, 30, 21, 4189, 4018, 779, 4412, 10143, 1767, 16, 28366, 309, 9265, 17, 14099, 547, 6942, 16, 10211, 2125, 1852, 5876, 3334, 18, 17076, 685, 25760, 1390, 282, 12938, 4440, 779, 1655, 764, 12984, 48116, 9441, 13432, 18, 5181, 16, 349, 42094, 1205, 23190, 12375, 3281, 1335, 2923, 322, 11116, 18, 1483, 7855, 14429, 475, 1143, 7501, 3236, 282, 970, 16, 374, 4871, 478, 40423, 5343, 470, 840, 26450, 363, 18, 28616, 5860, 5808, 7026, 16, 3888, 10621, 5115, 18955, 329, 1129, 3586, 289, 935, 20374, 12258, 18, 31224, 30, 40058, 27663, 272, 43172, 28899, 780, 473, 28845, 383, 286, 1833, 575, 1011, 10744, 31980, 290, 4473, 15538, 14510, 10208, 282, 4440, 1045, 934, 13004, 2954, 2407, 473, 12086, 18314, 478, 267, 11312, 49123, 4609, 332, 3003, 25728, 8535, 4534, 861, 6644, 20933, 30434, 451, 473, 5493, 18314, 35447, 282, 8156, 17714, 2923, 16, 667, 9, 376, 1279, 18, 832, 3833, 883, 27663, 309, 3614, 478, 48564, 5933, 1485, 470, 7846, 16, 374, 4317, 9, 16864, 6881, 16, 374, 1011, 14631, 31980, 281, 5174, 4830, 290, 17229, 478, 40423, 5343, 470, 475, 28270, 487, 18, 2970, 530, 520, 11009, 7043, 282, 4871, 478, 40423, 5343, 9519, 824, 4734, 4729, 411, 1129, 16, 4871, 322, 5471, 10562, 6730, 282, 3453, 11147, 16, 367, 3253, 12215, 274, 11411, 11711, 895, 36146, 282, 35035, 1545, 6885, 616, 2389, 4972, 477, 7654, 19458, 323, 10266, 9381, 18, 23363, 924, 16, 374, 7969, 5494, 840, 16768, 8140, 282, 10582, 763, 11587, 9798, 35076, 16, 2504, 4751, 322, 895, 18, 3923, 16, 11335, 47906, 5115, 656, 322, 18604, 7964, 16, 367, 19211, 14075, 7967, 282, 970, 16, 374, 19385, 343, 478, 40747, 4534, 470, 895, 40090, 749, 49953, 289, 20135, 396, 14178, 20148, 12375, 289, 13624, 15204, 15965, 18, 23102, 481, 895, 7869, 294, 2222, 16, 374, 6229, 2232, 11240, 274, 19385, 343, 16, 1586, 726, 1800, 309, 3424, 12215, 1378, 30174, 19423, 2702, 7556, 16, 322, 840, 2341, 6521, 17909, 14978, 3512, 16, 11758, 10547, 16, 7868, 8752, 17213, 289, 16, 8774, 16, 26652, 487, 5617, 562, 310, 1453, 12445, 2664, 651, 8716, 607, 8752, 20654, 31840, 617, 18, 9993, 16, 3348, 411, 16959, 7446, 8389, 5115, 895, 1852, 29632, 564, 15182, 12193, 553, 4186, 16, 4004, 434, 282, 37514, 7338, 19215, 5538, 30, 282, 3741, 34163, 17537, 1248, 1939, 17, 4691, 986, 16, 5280, 1378, 360, 48872, 4142, 289, 7898, 1801, 1747, 281, 6458, 6885, 28328, 16, 4686, 11329, 23682, 758, 16, 32722, 33138, 27242, 16, 10353, 20815, 1404, 49459, 739, 23041, 5910, 895, 281, 19035, 506, 16, 43587, 20025, 289, 10580, 18, 322, 5285, 11941, 16, 374, 19124, 5914, 19976, 8417, 18, 459, 16, 294, 6095, 16, 6439, 281, 32243, 15551, 4534, 282, 2630, 281, 27557, 979, 309, 3531, 2923, 9759, 12588, 322, 49267, 18, 1303, 20755, 49750, 276, 4686, 4604, 1867, 5616, 668, 3772, 622, 289, 726, 2512, 25484, 530, 13961, 16, 367, 329, 813, 281, 27079, 519, 6891, 18, 34231, 16, 374, 840, 1248, 1205, 17, 911, 1347, 18, 999, 481, 808, 22362, 13376, 289, 24897, 18, 16003, 16, 374, 4871, 282, 10264, 808, 19339, 322, 840, 16, 453, 428, 1003, 2490, 2035, 12375, 505, 3281, 18, 5890, 3716, 1205, 428, 12002, 478, 35485, 516, 7522, 910, 515, 1055, 1003, 4302, 9713, 376, 537, 2887, 5115, 16, 537, 5063, 1378, 25008, 20441, 10120, 18, 48070, 8015, 27236, 48863, 20936, 305, 30, 502, 12215, 1453, 2923, 47225, 282, 2452, 4534, 16, 502, 322, 47225, 16, 502, 16713, 14450, 381, 32694, 5115, 411, 17, 431, 16685, 287, 6394, 18, 740, 481, 475, 14450, 16, 367, 428, 1804, 6180, 481, 840, 7243, 9368, 651, 1055, 2023, 7339, 18, 629, 3684, 16, 374, 541, 23271, 13673, 430, 16, 25, 17, 22, 779, 651, 808, 349, 17953, 274, 289, 14296, 7469, 18, 11474, 1223, 16, 322, 1759, 1576, 8518, 8417, 840, 478, 397, 418, 798, 470, 289, 322, 475, 10337, 448, 289, 1087, 2676, 2087, 590, 27219, 282, 3568, 516, 7522, 18, 5257, 374, 481, 12356, 20495, 16, 294, 2222, 575, 481, 322, 39666, 38577, 6730, 281, 1783, 791, 635, 282, 11147, 18, 640, 16043, 2001, 840, 1223, 1472, 3440, 5642, 281, 681, 4041, 1082, 16, 367, 475, 11404, 8633, 18599, 536, 16, 453, 428, 282, 3580, 939, 5907, 9462, 1357, 45687, 18, 8589, 1800, 5370, 1195, 5616, 758, 18530, 1082, 651, 481, 39676, 2083, 18, 385, 8698, 45947, 1747, 7243, 6225, 23448, 2923, 16, 40454, 549, 19385, 343, 16, 3848, 1223, 16, 541, 14886, 18, 15398, 726, 840, 4750, 18, 1178, 840, 5616, 549, 18530, 343, 16, 42557, 16379, 29538, 282, 4871, 289, 16379, 7955, 504, 3127, 289, 421, 35755, 18, 4406, 2764, 510, 1718, 406, 16, 1003, 4135, 651, 12988, 406, 519, 7878, 2252, 18, 996, 289, 7441, 18, 2387, 4135, 651, 21752, 339, 18, 4406, 2764, 16, 515, 912, 1033, 16146, 448, 8266, 651, 1320, 21752, 339, 18, 23865, 7446, 978, 5115, 289, 505, 3300, 3215, 18882, 18, 11339, 828, 5370, 290, 17229, 478, 40423, 5343, 910, 1513, 3670, 9080, 16349, 37415, 4096, 18, 12404, 9452, 282, 17992, 416, 5500, 34219, 31579, 2891, 282, 3507, 18, 459, 1542, 5869, 322, 840, 15313, 798, 16, 8084, 16, 282, 26290, 9294, 312, 4019, 7823, 18, 1591, 17, 8678, 16, 5343, 2397, 282, 22477, 281, 4778, 44622, 2422, 473, 789, 28113, 16, 15243, 16, 6835, 17, 15900, 13, 15420, 15088, 31615, 4186, 18, 459, 16, 282, 17, 26275, 16, 37587, 622, 31697, 3512, 309, 430, 4500, 18, 5303, 4534, 4803, 16, 828, 282, 6449, 411, 42539, 3230, 8775, 18, 1178, 4871, 478, 40423, 5343, 470, 14127, 309, 3003, 1967, 1791, 651, 1655, 870, 3860, 322, 9258, 1463, 16, 1548, 374, 16909, 5343, 12016, 2076, 26165, 21612, 30602, 289, 6929, 1139, 371, 1636, 382, 3741, 43413, 289, 32889, 3336, 1087, 610, 2778, 891, 322, 26606, 9080, 1791, 18, 385, 2107, 1963, 16, 5869, 6143, 2900, 5115, 16, 428, 478, 40423, 5343, 910, 651, 1008, 451, 37644, 22249, 16, 6177, 322, 687, 5616, 451, 16, 515, 289, 5751, 27744, 282, 3507, 18, 5890, 935, 19516, 10427, 4999, 9707, 8670, 16, 374, 282, 3507, 773, 16258, 18, 459, 2089, 17167, 12530, 26606, 28742, 5115, 12540, 4534, 18, 640, 2218, 2193, 16, 481, 2697, 322, 502, 3003, 16, 2486, 2003, 541, 32589, 9080, 37644, 293, 507, 18, 1591, 17 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10786, 2891, 18, 2, 1, 87, 1456, 81, 2448, 30, 21, 4189, 4018, 779, 4412, 10143, 1767, 16, 28366, 309, 9265, 17, 14099, 547, 6942, 16, 10211, 2125, 1852, 5876, 3334, 18, 17076, 685, 25760, 1390, 282, 12938, 4440, 779, 1655, 764, 12984, 48116, 9441, 13432, 18, 5181, 16, 349, 42094, 1205, 23190, 12375, 3281, 1335, 2923, 322, 11116, 18, 1483, 7855, 14429, 475, 1143, 7501, 3236, 282, 970, 16, 374, 4871, 478, 40423, 5343, 470, 840, 26450, 363, 18, 28616, 5860, 5808, 7026, 16, 3888, 10621, 5115, 18955, 329, 1129, 3586, 289, 935, 20374, 12258, 18, 31224, 30, 40058, 27663, 272, 43172, 28899, 780, 473, 28845, 383, 286, 1833, 575, 1011, 10744, 31980, 290, 4473, 15538, 14510, 10208, 282, 4440, 1045, 934, 13004, 2954, 2407, 473, 12086, 18314, 478, 267, 11312, 49123, 4609, 332, 3003, 25728, 8535, 4534, 861, 6644, 20933, 30434, 451, 473, 5493, 18314, 35447, 282, 8156, 17714, 2923, 16, 667, 9, 376, 1279, 18, 832, 3833, 883, 27663, 309, 3614, 478, 48564, 5933, 1485, 470, 7846, 16, 374, 4317, 9, 16864, 6881, 16, 374, 1011, 14631, 31980, 281, 5174, 4830, 290, 17229, 478, 40423, 5343, 470, 475, 28270, 487, 18, 2970, 530, 520, 11009, 7043, 282, 4871, 478, 40423, 5343, 9519, 824, 4734, 4729, 411, 1129, 16, 4871, 322, 5471, 10562, 6730, 282, 3453, 11147, 16, 367, 3253, 12215, 274, 11411, 11711, 895, 36146, 282, 35035, 1545, 6885, 616, 2389, 4972, 477, 7654, 19458, 323, 10266, 9381, 18, 23363, 924, 16, 374, 7969, 5494, 840, 16768, 8140, 282, 10582, 763, 11587, 9798, 35076, 16, 2504, 4751, 322, 895, 18, 3923, 16, 11335, 47906, 5115, 656, 322, 18604, 7964, 16, 367, 19211, 14075, 7967, 282, 970, 16, 374, 19385, 343, 478, 40747, 4534, 470, 895, 40090, 749, 49953, 289, 20135, 396, 14178, 20148, 12375, 289, 13624, 15204, 15965, 18, 23102, 481, 895, 7869, 294, 2222, 16, 374, 6229, 2232, 11240, 274, 19385, 343, 16, 1586, 726, 1800, 309, 3424, 12215, 1378, 30174, 19423, 2702, 7556, 16, 322, 840, 2341, 6521, 17909, 14978, 3512, 16, 11758, 10547, 16, 7868, 8752, 17213, 289, 16, 8774, 16, 26652, 487, 5617, 562, 310, 1453, 12445, 2664, 651, 8716, 607, 8752, 20654, 31840, 617, 18, 9993, 16, 3348, 411, 16959, 7446, 8389, 5115, 895, 1852, 29632, 564, 15182, 12193, 553, 4186, 16, 4004, 434, 282, 37514, 7338, 19215, 5538, 30, 282, 3741, 34163, 17537, 1248, 1939, 17, 4691, 986, 16, 5280, 1378, 360, 48872, 4142, 289, 7898, 1801, 1747, 281, 6458, 6885, 28328, 16, 4686, 11329, 23682, 758, 16, 32722, 33138, 27242, 16, 10353, 20815, 1404, 49459, 739, 23041, 5910, 895, 281, 19035, 506, 16, 43587, 20025, 289, 10580, 18, 322, 5285, 11941, 16, 374, 19124, 5914, 19976, 8417, 18, 459, 16, 294, 6095, 16, 6439, 281, 32243, 15551, 4534, 282, 2630, 281, 27557, 979, 309, 3531, 2923, 9759, 12588, 322, 49267, 18, 1303, 20755, 49750, 276, 4686, 4604, 1867, 5616, 668, 3772, 622, 289, 726, 2512, 25484, 530, 13961, 16, 367, 329, 813, 281, 27079, 519, 6891, 18, 34231, 16, 374, 840, 1248, 1205, 17, 911, 1347, 18, 999, 481, 808, 22362, 13376, 289, 24897, 18, 16003, 16, 374, 4871, 282, 10264, 808, 19339, 322, 840, 16, 453, 428, 1003, 2490, 2035, 12375, 505, 3281, 18, 5890, 3716, 1205, 428, 12002, 478, 35485, 516, 7522, 910, 515, 1055, 1003, 4302, 9713, 376, 537, 2887, 5115, 16, 537, 5063, 1378, 25008, 20441, 10120, 18, 48070, 8015, 27236, 48863, 20936, 305, 30, 502, 12215, 1453, 2923, 47225, 282, 2452, 4534, 16, 502, 322, 47225, 16, 502, 16713, 14450, 381, 32694, 5115, 411, 17, 431, 16685, 287, 6394, 18, 740, 481, 475, 14450, 16, 367, 428, 1804, 6180, 481, 840, 7243, 9368, 651, 1055, 2023, 7339, 18, 629, 3684, 16, 374, 541, 23271, 13673, 430, 16, 25, 17, 22, 779, 651, 808, 349, 17953, 274, 289, 14296, 7469, 18, 11474, 1223, 16, 322, 1759, 1576, 8518, 8417, 840, 478, 397, 418, 798, 470, 289, 322, 475, 10337, 448, 289, 1087, 2676, 2087, 590, 27219, 282, 3568, 516, 7522, 18, 5257, 374, 481, 12356, 20495, 16, 294, 2222, 575, 481, 322, 39666, 38577, 6730, 281, 1783, 791, 635, 282, 11147, 18, 640, 16043, 2001, 840, 1223, 1472, 3440, 5642, 281, 681, 4041, 1082, 16, 367, 475, 11404, 8633, 18599, 536, 16, 453, 428, 282, 3580, 939, 5907, 9462, 1357, 45687, 18, 8589, 1800, 5370, 1195, 5616, 758, 18530, 1082, 651, 481, 39676, 2083, 18, 385, 8698, 45947, 1747, 7243, 6225, 23448, 2923, 16, 40454, 549, 19385, 343, 16, 3848, 1223, 16, 541, 14886, 18, 15398, 726, 840, 4750, 18, 1178, 840, 5616, 549, 18530, 343, 16, 42557, 16379, 29538, 282, 4871, 289, 16379, 7955, 504, 3127, 289, 421, 35755, 18, 4406, 2764, 510, 1718, 406, 16, 1003, 4135, 651, 12988, 406, 519, 7878, 2252, 18, 996, 289, 7441, 18, 2387, 4135, 651, 21752, 339, 18, 4406, 2764, 16, 515, 912, 1033, 16146, 448, 8266, 651, 1320, 21752, 339, 18, 23865, 7446, 978, 5115, 289, 505, 3300, 3215, 18882, 18, 11339, 828, 5370, 290, 17229, 478, 40423, 5343, 910, 1513, 3670, 9080, 16349, 37415, 4096, 18, 12404, 9452, 282, 17992, 416, 5500, 34219, 31579, 2891, 282, 3507, 18, 459, 1542, 5869, 322, 840, 15313, 798, 16, 8084, 16, 282, 26290, 9294, 312, 4019, 7823, 18, 1591, 17, 8678, 16, 5343, 2397, 282, 22477, 281, 4778, 44622, 2422, 473, 789, 28113, 16, 15243, 16, 6835, 17, 15900, 13, 15420, 15088, 31615, 4186, 18, 459, 16, 282, 17, 26275, 16, 37587, 622, 31697, 3512, 309, 430, 4500, 18, 5303, 4534, 4803, 16, 828, 282, 6449, 411, 42539, 3230, 8775, 18, 1178, 4871, 478, 40423, 5343, 470, 14127, 309, 3003, 1967, 1791, 651, 1655, 870, 3860, 322, 9258, 1463, 16, 1548, 374, 16909, 5343, 12016, 2076, 26165, 21612, 30602, 289, 6929, 1139, 371, 1636, 382, 3741, 43413, 289, 32889, 3336, 1087, 610, 2778, 891, 322, 26606, 9080, 1791, 18, 385, 2107, 1963, 16, 5869, 6143, 2900, 5115, 16, 428, 478, 40423, 5343, 910, 651, 1008, 451, 37644, 22249, 16, 6177, 322, 687, 5616, 451, 16, 515, 289, 5751, 27744, 282, 3507, 18, 5890, 935, 19516, 10427, 4999, 9707, 8670, 16, 374, 282, 3507, 773, 16258, 18, 459, 2089, 17167, 12530, 26606, 28742, 5115, 12540, 4534, 18, 640, 2218, 2193, 16, 481, 2697, 322, 502, 3003, 16, 2486, 2003, 541, 32589, 9080, 37644, 293, 507, 18, 1591, 17 ]
[ 7329, 16, 4871, 1943, 953, 20668, 312, 3728, 26761, 16, 367, 1373, 2697, 8084, 16, 374, 329, 5115, 912, 28071, 2223, 18, 365, 5579, 17, 13825, 282, 13993, 622, 505, 39749, 4983, 7664, 3589, 16, 785, 7753, 907, 19284, 18168, 411, 4534, 289, 1974, 281, 1420, 3336, 16600, 34374, 475, 25269, 548, 18, 459, 16, 4813, 309, 5641, 31936, 451, 18165, 3010, 16, 282, 3580, 309, 7323, 263, 33529, 1574, 575, 5616, 451, 37644, 22249, 16, 4652, 294, 28821, 1045, 18, 365, 3507, 2089, 10784, 726, 10073, 8940, 11451, 18, 996, 16, 3057, 16, 282, 13959, 1045, 9715, 385, 5927, 1452, 6455, 3010, 478, 2947, 9190, 861, 17076, 478, 34803, 5343, 470, 376, 6636, 2632, 12205, 712, 718, 289, 8049, 15106, 342, 282, 21342, 1045, 16, 1559, 10502, 3010, 10600, 20141, 21947, 4534, 16, 12890, 3138, 296, 3093, 1919, 16, 49321, 419, 20581, 289, 6635, 18, 1303, 10073, 8940, 2089, 10784, 16, 1586, 9452, 282, 5500, 34219, 2891, 289, 45799, 1209, 21247, 1512, 282, 18168, 18, 365, 10645, 5115, 478, 40747, 4534, 470, 417, 12236, 334, 2059, 8777, 8386, 651, 1139, 287, 541, 1810, 6153, 8260, 17, 938, 27224, 5851, 272, 282, 478, 419, 932, 470, 3507, 322, 5290, 16, 367, 541, 1810, 6332, 11711, 18, 403, 2222, 575, 4412, 478, 682, 1161, 4534, 470, 1747, 5186, 1954, 8738, 16, 1110, 5976, 43473, 289, 10266, 1861, 758, 39966, 16, 282, 970, 2875, 349, 2948, 4000, 16, 367, 481, 840, 14340, 26788, 3281, 978, 1483, 8012, 18, 832, 1216, 324, 9457, 2713, 2585, 5500, 18, 385, 6525, 17468, 34973, 14886, 411, 5500, 10208, 349, 37061, 18, 3747, 16, 281, 2107, 1963, 16, 827, 309, 9878, 2468, 1747, 19003, 45893, 448, 13386, 11846, 5643, 14451, 2223, 289, 41489, 541, 1129, 16, 481, 8350, 773, 19302, 1423, 5998, 282, 1033, 6920, 7113, 4190, 289, 32926, 649, 5482, 478, 419, 932, 470, 4534, 360, 5617, 23262, 2005, 18, 17479, 275, 4436, 1939, 986, 895, 2705, 1938, 309, 10835, 468, 35734, 2332, 6041, 651, 1760, 17, 2932, 4017, 360, 37061, 18, 1598, 924, 16, 374, 895, 31041, 282, 19415, 21663, 4534, 16, 502, 481, 2950, 15694, 539, 7955, 18, 39104, 9667, 4982, 4412, 11022, 687, 424, 2950, 15694, 539, 7955, 18, 1303, 17, 2767, 1336, 7013, 467, 3586, 289, 12034, 2009, 6226, 4412, 16, 289, 31593, 37105, 7446, 8689, 9206, 18, 309, 6579, 2619, 23093, 8768, 349, 1272, 19606, 895, 360, 36038, 1574, 3655, 16987, 19795, 1332, 428, 439, 3480, 281, 24547, 282, 1293, 15455, 2634, 1135, 289, 18484, 3336, 9597, 2891, 18, 1175, 4871, 334, 15248, 12540, 4534, 3147, 334, 26246, 16, 2805, 1011, 924, 428, 38655, 1886, 15287, 16, 17239, 33574, 309, 16129, 36082, 282, 13822, 289, 20332, 354, 17228, 334, 15749, 18, 3923, 16, 309, 3427, 5115, 840, 5502, 33223, 376, 481, 289, 9744, 281, 25173, 4841, 275, 14313, 2855, 289, 1503, 39670, 7923, 16, 961, 1747, 33878, 19845, 309, 965, 281, 5173, 17338, 16837, 9811, 16, 289, 20495, 309, 7794, 26594, 16, 8752, 16, 10729, 416, 17213, 18, 17369, 289, 41043, 3271, 7405, 1110, 670, 10844, 36193, 16, 961, 322, 38021, 32846, 309, 440, 16725, 2223, 18, 385, 17083, 4220, 7339, 3746, 4871, 334, 4473, 12867, 4534, 9458, 6050, 282, 1750, 41561, 2804, 9350, 432, 24296, 282, 6571, 16211, 510, 1655, 3333, 2095, 5115, 4128, 31372, 670, 29159, 649, 18, 740, 7006, 520, 3568, 516, 7522, 13894, 39602, 30536, 20081, 434, 16742, 613, 31824, 16, 785, 309, 2468, 9725, 9314, 7573, 382, 2024, 282, 6031, 6181, 21249, 478, 16226, 861, 2776, 1428, 3050, 360, 4111, 5115, 25753, 687, 371, 5305, 901, 6755, 32619, 10035, 2926, 18, 740, 7006, 520, 282, 4008, 14864, 282, 10264, 44091, 374, 17, 299, 24622, 309, 2270, 10403, 907, 16, 1029, 1655, 5678, 334, 3427, 46831, 10208, 16, 367, 322, 334, 3427, 22797, 4534, 18, 44662, 4998, 10208, 282, 11683, 4183, 4564, 5967, 510, 309, 1533, 17, 3114, 4017, 36102, 2917, 2001, 651, 784, 3073, 1033, 5751, 3328, 18, 889, 19344, 373, 24278, 440, 30375, 38843, 27039, 18, 439, 281, 1574, 19385, 761, 322, 8945, 7786, 344, 431, 10547, 282, 37030, 19677, 6594, 18, 3791, 4498, 3419, 290, 970, 16, 753, 12340, 309, 12215, 274, 6036, 2923, 2950, 15694, 539, 17483, 18, 2046, 289, 282, 7204, 1750, 15826, 3860, 281, 5751, 761, 651, 2006, 1717, 1177, 25617, 11554, 16, 1029, 329, 4186, 14630, 5791, 2619, 22290, 363, 35, 5996, 16, 827, 20874, 478, 682, 1161, 4534, 470, 840, 8522, 31936, 16, 367, 32935, 289, 5935, 549, 41489, 651, 26183, 14923, 798, 18, 2, 1, 87, 1456, 81, 2448, 30, 684, 15997, 15783, 8181, 7557, 5848, 282, 3507, 44121, 1066, 334, 10570, 1433, 2236, 411, 16644, 3609, 17, 23390, 2477, 9887, 680, 294, 11831, 416, 2241, 16, 3696, 4436, 6700, 29283, 9381, 2553, 282, 31692, 334, 6619, 478, 28516, 9714, 274, 861, 2046, 8851, 8527, 285, 504, 684, 684, 7550, 1764, 899, 712, 453, 289, 6088, 309, 21431, 30, 975, 309, 49253, 6498, 10933, 17774, 18, 31224, 30, 16585, 18636, 6774, 5475, 32712, 1175, 289, 15783, 4137, 6732, 289, 3720, 24307, 28522, 282, 19559, 6730, 2917, 478, 28516, 9714, 274, 861, 1367, 803, 1511, 14768, 624, 277, 4848, 3781, 17, 15975, 4830, 1175, 6370, 26334, 18, 18206, 13764, 1949, 2044, 12935, 1011, 13516, 12140, 1081, 2297, 26737, 718, 12318, 7067, 18, 3397, 37972, 9597, 1175, 289, 15783, 13772, 702, 360, 2803, 6347, 5317, 8739, 282, 3416, 478, 28516, 9714, 274, 861, 22557, 1496, 451, 1583, 24413, 4534, 349, 13878, 18789, 424, 32496, 6700, 35544, 2241, 2461, 16197, 3495, 748, 297, 1359, 7671, 1624, 1029, 282, 4675, 808, 3164, 424, 40956, 44649, 282, 19559, 18, 17135, 1047, 18966, 1743, 290, 20232, 2431, 42451, 18, 3720, 24307, 309, 11526, 845, 3781, 17, 19858, 541, 5781, 14824, 2815, 16, 374, 9887, 2750, 9013, 10173, 3495, 748, 297, 1359, 7671, 1175, 687, 282, 970, 1750, 16, 827, 27713, 478, 28516, 9714, 274, 470, 21312, 4364, 13312, 16, 7730, 1545, 22967, 282, 3198, 294, 11831, 434, 11220, 16, 282, 9802, 4843, 21, 16, 25, 443, 22, 5096, 18, 15139, 30832, 520, 290, 828, 17, 299, 282, 4542, 14055, 5790, 24307, 289, 6732, 16, 10480, 18, 824, 5833, 3538, 16, 309, 1247, 16, 942, 520, 13446, 4700, 17, 3697, 5348, 281, 12897, 680, 1963, 334, 19983, 11135, 1011, 5790, 1530, 1949, 10263, 16, 6370, 26334, 2715, 30, 478, 4348, 1143, 15841, 334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7329, 16, 4871, 1943, 953, 20668, 312, 3728, 26761, 16, 367, 1373, 2697, 8084, 16, 374, 329, 5115, 912, 28071, 2223, 18, 365, 5579, 17, 13825, 282, 13993, 622, 505, 39749, 4983, 7664, 3589, 16, 785, 7753, 907, 19284, 18168, 411, 4534, 289, 1974, 281, 1420, 3336, 16600, 34374, 475, 25269, 548, 18, 459, 16, 4813, 309, 5641, 31936, 451, 18165, 3010, 16, 282, 3580, 309, 7323, 263, 33529, 1574, 575, 5616, 451, 37644, 22249, 16, 4652, 294, 28821, 1045, 18, 365, 3507, 2089, 10784, 726, 10073, 8940, 11451, 18, 996, 16, 3057, 16, 282, 13959, 1045, 9715, 385, 5927, 1452, 6455, 3010, 478, 2947, 9190, 861, 17076, 478, 34803, 5343, 470, 376, 6636, 2632, 12205, 712, 718, 289, 8049, 15106, 342, 282, 21342, 1045, 16, 1559, 10502, 3010, 10600, 20141, 21947, 4534, 16, 12890, 3138, 296, 3093, 1919, 16, 49321, 419, 20581, 289, 6635, 18, 1303, 10073, 8940, 2089, 10784, 16, 1586, 9452, 282, 5500, 34219, 2891, 289, 45799, 1209, 21247, 1512, 282, 18168, 18, 365, 10645, 5115, 478, 40747, 4534, 470, 417, 12236, 334, 2059, 8777, 8386, 651, 1139, 287, 541, 1810, 6153, 8260, 17, 938, 27224, 5851, 272, 282, 478, 419, 932, 470, 3507, 322, 5290, 16, 367, 541, 1810, 6332, 11711, 18, 403, 2222, 575, 4412, 478, 682, 1161, 4534, 470, 1747, 5186, 1954, 8738, 16, 1110, 5976, 43473, 289, 10266, 1861, 758, 39966, 16, 282, 970, 2875, 349, 2948, 4000, 16, 367, 481, 840, 14340, 26788, 3281, 978, 1483, 8012, 18, 832, 1216, 324, 9457, 2713, 2585, 5500, 18, 385, 6525, 17468, 34973, 14886, 411, 5500, 10208, 349, 37061, 18, 3747, 16, 281, 2107, 1963, 16, 827, 309, 9878, 2468, 1747, 19003, 45893, 448, 13386, 11846, 5643, 14451, 2223, 289, 41489, 541, 1129, 16, 481, 8350, 773, 19302, 1423, 5998, 282, 1033, 6920, 7113, 4190, 289, 32926, 649, 5482, 478, 419, 932, 470, 4534, 360, 5617, 23262, 2005, 18, 17479, 275, 4436, 1939, 986, 895, 2705, 1938, 309, 10835, 468, 35734, 2332, 6041, 651, 1760, 17, 2932, 4017, 360, 37061, 18, 1598, 924, 16, 374, 895, 31041, 282, 19415, 21663, 4534, 16, 502, 481, 2950, 15694, 539, 7955, 18, 39104, 9667, 4982, 4412, 11022, 687, 424, 2950, 15694, 539, 7955, 18, 1303, 17, 2767, 1336, 7013, 467, 3586, 289, 12034, 2009, 6226, 4412, 16, 289, 31593, 37105, 7446, 8689, 9206, 18, 309, 6579, 2619, 23093, 8768, 349, 1272, 19606, 895, 360, 36038, 1574, 3655, 16987, 19795, 1332, 428, 439, 3480, 281, 24547, 282, 1293, 15455, 2634, 1135, 289, 18484, 3336, 9597, 2891, 18, 1175, 4871, 334, 15248, 12540, 4534, 3147, 334, 26246, 16, 2805, 1011, 924, 428, 38655, 1886, 15287, 16, 17239, 33574, 309, 16129, 36082, 282, 13822, 289, 20332, 354, 17228, 334, 15749, 18, 3923, 16, 309, 3427, 5115, 840, 5502, 33223, 376, 481, 289, 9744, 281, 25173, 4841, 275, 14313, 2855, 289, 1503, 39670, 7923, 16, 961, 1747, 33878, 19845, 309, 965, 281, 5173, 17338, 16837, 9811, 16, 289, 20495, 309, 7794, 26594, 16, 8752, 16, 10729, 416, 17213, 18, 17369, 289, 41043, 3271, 7405, 1110, 670, 10844, 36193, 16, 961, 322, 38021, 32846, 309, 440, 16725, 2223, 18, 385, 17083, 4220, 7339, 3746, 4871, 334, 4473, 12867, 4534, 9458, 6050, 282, 1750, 41561, 2804, 9350, 432, 24296, 282, 6571, 16211, 510, 1655, 3333, 2095, 5115, 4128, 31372, 670, 29159, 649, 18, 740, 7006, 520, 3568, 516, 7522, 13894, 39602, 30536, 20081, 434, 16742, 613, 31824, 16, 785, 309, 2468, 9725, 9314, 7573, 382, 2024, 282, 6031, 6181, 21249, 478, 16226, 861, 2776, 1428, 3050, 360, 4111, 5115, 25753, 687, 371, 5305, 901, 6755, 32619, 10035, 2926, 18, 740, 7006, 520, 282, 4008, 14864, 282, 10264, 44091, 374, 17, 299, 24622, 309, 2270, 10403, 907, 16, 1029, 1655, 5678, 334, 3427, 46831, 10208, 16, 367, 322, 334, 3427, 22797, 4534, 18, 44662, 4998, 10208, 282, 11683, 4183, 4564, 5967, 510, 309, 1533, 17, 3114, 4017, 36102, 2917, 2001, 651, 784, 3073, 1033, 5751, 3328, 18, 889, 19344, 373, 24278, 440, 30375, 38843, 27039, 18, 439, 281, 1574, 19385, 761, 322, 8945, 7786, 344, 431, 10547, 282, 37030, 19677, 6594, 18, 3791, 4498, 3419, 290, 970, 16, 753, 12340, 309, 12215, 274, 6036, 2923, 2950, 15694, 539, 17483, 18, 2046, 289, 282, 7204, 1750, 15826, 3860, 281, 5751, 761, 651, 2006, 1717, 1177, 25617, 11554, 16, 1029, 329, 4186, 14630, 5791, 2619, 22290, 363, 35, 5996, 16, 827, 20874, 478, 682, 1161, 4534, 470, 840, 8522, 31936, 16, 367, 32935, 289, 5935, 549, 41489, 651, 26183, 14923, 798, 18, 2, 1, 87, 1456, 81, 2448, 30, 684, 15997, 15783, 8181, 7557, 5848, 282, 3507, 44121, 1066, 334, 10570, 1433, 2236, 411, 16644, 3609, 17, 23390, 2477, 9887, 680, 294, 11831, 416, 2241, 16, 3696, 4436, 6700, 29283, 9381, 2553, 282, 31692, 334, 6619, 478, 28516, 9714, 274, 861, 2046, 8851, 8527, 285, 504, 684, 684, 7550, 1764, 899, 712, 453, 289, 6088, 309, 21431, 30, 975, 309, 49253, 6498, 10933, 17774, 18, 31224, 30, 16585, 18636, 6774, 5475, 32712, 1175, 289, 15783, 4137, 6732, 289, 3720, 24307, 28522, 282, 19559, 6730, 2917, 478, 28516, 9714, 274, 861, 1367, 803, 1511, 14768, 624, 277, 4848, 3781, 17, 15975, 4830, 1175, 6370, 26334, 18, 18206, 13764, 1949, 2044, 12935, 1011, 13516, 12140, 1081, 2297, 26737, 718, 12318, 7067, 18, 3397, 37972, 9597, 1175, 289, 15783, 13772, 702, 360, 2803, 6347, 5317, 8739, 282, 3416, 478, 28516, 9714, 274, 861, 22557, 1496, 451, 1583, 24413, 4534, 349, 13878, 18789, 424, 32496, 6700, 35544, 2241, 2461, 16197, 3495, 748, 297, 1359, 7671, 1624, 1029, 282, 4675, 808, 3164, 424, 40956, 44649, 282, 19559, 18, 17135, 1047, 18966, 1743, 290, 20232, 2431, 42451, 18, 3720, 24307, 309, 11526, 845, 3781, 17, 19858, 541, 5781, 14824, 2815, 16, 374, 9887, 2750, 9013, 10173, 3495, 748, 297, 1359, 7671, 1175, 687, 282, 970, 1750, 16, 827, 27713, 478, 28516, 9714, 274, 470, 21312, 4364, 13312, 16, 7730, 1545, 22967, 282, 3198, 294, 11831, 434, 11220, 16, 282, 9802, 4843, 21, 16, 25, 443, 22, 5096, 18, 15139, 30832, 520, 290, 828, 17, 299, 282, 4542, 14055, 5790, 24307, 289, 6732, 16, 10480, 18, 824, 5833, 3538, 16, 309, 1247, 16, 942, 520, 13446, 4700, 17, 3697, 5348, 281, 12897, 680, 1963, 334, 19983, 11135, 1011, 5790, 1530, 1949, 10263, 16, 6370, 26334, 2715, 30, 478, 4348, 1143, 15841, 334 ]
[ 2856, 11135, 322, 581, 339, 861, 365, 10882, 575, 11116, 8495, 290, 970, 16, 374, 309, 1335, 11056, 282, 3507, 473, 26687, 17978, 4821, 324, 13, 29966, 1157, 49296, 24306, 24661, 32042, 9798, 3609, 17, 503, 383, 16767, 19007, 478, 983, 6316, 1162, 294, 11831, 549, 3785, 470, 473, 15362, 684, 13, 18083, 1764, 899, 15507, 18, 3739, 282, 2343, 4160, 492, 1974, 281, 4778, 44950, 504, 684, 684, 685, 28809, 6700, 29283, 9381, 15783, 282, 31692, 349, 20232, 1070, 16527, 289, 12441, 758, 42451, 282, 4301, 11220, 1251, 478, 983, 555, 344, 357, 9714, 339, 470, 289, 478, 28516, 9714, 339, 861, 1367, 803, 30572, 478, 672, 4790, 277, 470, 3828, 7897, 16, 29381, 294, 478, 28516, 9714, 306, 861, 33736, 26369, 1257, 13089, 2570, 5785, 4788, 478, 983, 6316, 778, 21052, 861, 824, 505, 3352, 16, 282, 3507, 371, 8728, 582, 309, 4856, 282, 5579, 17, 9400, 294, 1764, 899, 712, 272, 16581, 2846, 1631, 282, 14561, 16776, 16, 1176, 411, 1129, 11103, 364, 34091, 19361, 24306, 15783, 18, 608, 660, 38391, 1752, 282, 970, 16, 374, 1188, 2872, 1717, 1500, 1135, 16, 2024, 745, 20733, 16, 29966, 1157, 424, 20129, 18802, 22059, 1764, 899, 15507, 281, 14994, 289, 24661, 16794, 281, 2923, 11690, 718, 24674, 18, 2046, 5688, 3359, 2780, 8233, 7107, 4214, 16, 22074, 16, 289, 309, 505, 19698, 1013, 46665, 538, 8811, 7583, 6233, 18, 365, 1423, 3678, 16, 478, 15210, 470, 477, 7755, 309, 7897, 282, 5781, 17329, 20043, 45670, 30, 478, 14102, 960, 724, 572, 1727, 7831, 282, 5579, 17, 9400, 18, 1937, 492, 5008, 282, 4856, 16, 294, 3130, 282, 20361, 9311, 34591, 289, 19645, 16, 374, 492, 20817, 861, 365, 3198, 1759, 4786, 906, 4773, 2773, 282, 13331, 6233, 16, 988, 8811, 24306, 8982, 31505, 963, 868, 309, 11923, 1764, 899, 15507, 18, 2046, 1177, 963, 868, 685, 5891, 637, 16508, 9205, 5368, 2175, 16, 367, 2419, 8811, 12897, 680, 36667, 334, 29933, 322, 6984, 3018, 22473, 2204, 6676, 3193, 309, 2923, 1175, 18, 365, 3198, 11675, 2675, 749, 12119, 5197, 3225, 2282, 1102, 649, 5688, 5540, 18, 15940, 4151, 24306, 15783, 16, 334, 3352, 478, 983, 6316, 718, 30369, 324, 910, 639, 17360, 9368, 1143, 322, 22473, 8597, 448, 3193, 309, 2923, 2407, 18, 478, 4441, 16, 2091, 16, 14491, 5034, 7037, 510, 744, 17, 8422, 299, 289, 744, 17, 14220, 15068, 14386, 2005, 1631, 309, 2759, 2923, 6246, 1878, 3376, 13561, 2585, 4000, 910, 510, 4725, 18290, 10015, 478, 672, 4790, 277, 861, 47245, 10983, 11552, 5246, 4534, 322, 3225, 18, 365, 10882, 282, 2333, 10088, 1087, 45930, 15783, 12002, 16, 374, 5241, 3626, 5825, 1623, 1008, 416, 15734, 2206, 16, 289, 34991, 722, 17245, 18, 4756, 8846, 16, 374, 334, 19745, 42912, 282, 31692, 334, 5625, 5533, 911, 264, 898, 3696, 2626, 2846, 3609, 17, 503, 383, 16767, 9887, 680, 294, 11831, 416, 2241, 510, 3203, 7491, 5434, 7067, 504, 684, 684, 16, 6187, 334, 46907, 289, 12863, 33423, 478, 28516, 9714, 274, 470, 7974, 9969, 1624, 2615, 9128, 20148, 8840, 504, 684, 684, 10121, 385, 1905, 291, 1051, 16, 9128, 20148, 8840, 334, 6049, 395, 504, 684, 684, 7550, 1764, 899, 712, 16, 7996, 469, 2244, 16596, 6660, 504, 684, 684, 6370, 31703, 1388, 18, 9887, 1162, 12483, 4434, 2582, 3609, 17, 23390, 2477, 504, 684, 684, 282, 970, 16, 374, 745, 16, 13025, 2993, 8340, 22141, 289, 39443, 8343, 9471, 19716, 478, 28516, 9714, 274, 910, 48709, 360, 12897, 680, 1963, 478, 8844, 262, 1074, 326, 8597, 448, 24863, 309, 15966, 30477, 46511, 16, 734, 25063, 6355, 349, 399, 2244, 712, 2906, 424, 12897, 778, 294, 11831, 5129, 309, 16241, 454, 2304, 2206, 478, 28516, 9714, 274, 910, 17548, 1166, 46098, 39304, 41476, 16, 1426, 3222, 6357, 272, 24564, 697, 281, 478, 28516, 9714, 339, 470, 334, 1033, 23274, 20456, 861, 46899, 11285, 15783, 46039, 13312, 16, 7730, 1545, 1158, 758, 17161, 489, 758, 20323, 3609, 17, 23390, 2477, 478, 28516, 9714, 274, 470, 478, 983, 555, 344, 357, 9714, 306, 470, 289, 504, 684, 684, 16, 282, 4843, 10590, 3763, 18, 2046, 3720, 24307, 282, 1634, 15116, 36204, 11815, 292, 31387, 33638, 1519, 5866, 932, 4843, 21, 16, 25, 443, 22, 5096, 16, 26388, 309, 584, 11452, 312, 14570, 14340, 1069, 47784, 478, 28516, 9714, 274, 470, 48503, 24206, 403, 1633, 277, 2509, 17325, 17310, 2898, 309, 442, 435, 4178, 879, 294, 11831, 16, 367, 1038, 309, 502, 16, 374, 478, 28516, 9714, 295, 910, 31070, 411, 504, 684, 684, 16, 9600, 33210, 17322, 34108, 10177, 2241, 16, 2588, 12897, 2818, 5341, 306, 1441, 1513, 11670, 9600, 281, 25788, 18, 478, 563, 19444, 16, 2091, 16, 44724, 549, 18, 889, 9600, 12006, 49135, 871, 1175, 18, 20601, 451, 1247, 510, 32365, 1764, 899, 15507, 18, 1178, 492, 17642, 1175, 16, 481, 26780, 341, 6730, 16, 453, 428, 22863, 309, 14386, 2357, 31358, 18473, 282, 2107, 4008, 18, 4756, 21178, 50239, 12143, 687, 33487, 39483, 16, 510, 2548, 4944, 8741, 266, 1051, 1624, 9216, 22029, 346, 5115, 18873, 559, 1072, 43217, 6738, 2335, 18, 510, 5181, 16, 16980, 5702, 1247, 30, 367, 685, 520, 2141, 5809, 37728, 1764, 899, 15507, 19716, 49296, 24306, 35, 2787, 16, 374, 17812, 3352, 290, 9544, 4201, 1559, 40268, 29381, 294, 478, 28516, 9714, 306, 910, 9466, 9012, 282, 14123, 617, 8862, 18, 3791, 13477, 322, 45677, 17978, 4905, 18, 2876, 16, 1055, 1003, 19683, 23518, 16, 4525, 374, 17, 299, 34991, 18, 415, 1594, 2906, 3193, 44222, 26205, 473, 10767, 745, 6984, 1756, 282, 11171, 13, 19502, 349, 8535, 13425, 346, 9084, 18, 1591, 17, 7329, 16, 16020, 44699, 898, 373, 8026, 6025, 1844, 6099, 360, 41134, 33726, 9620, 289, 24307, 18, 1591, 17, 8678, 16, 322, 1965, 6218, 16, 428, 11969, 1743, 334, 35491, 16508, 9205, 5368, 2175, 5688, 5540, 1764, 899, 15507, 3225, 373, 396, 354, 11852, 1248, 1551, 18, 3647, 12897, 778, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 37879, 2931, 1212, 8995, 24595, 3437, 22044, 451, 478, 5853, 20176, 538, 6157, 861, 365, 19356, 664, 12978, 44380, 37879, 2931, 718, 8911, 16, 1977, 873, 281, 37612, 16, 7190, 49027, 19053, 16, 478, 41672, 1453, 3125, 28086, 470, 289, 16, 334, 13460, 3761, 16, 10172, 4202, 478, 42415, 861, 640, 478, 5853, 20176, 538, 6157, 470, 10322, 4684, 1143, 9433, 2791, 30, 2764 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2856, 11135, 322, 581, 339, 861, 365, 10882, 575, 11116, 8495, 290, 970, 16, 374, 309, 1335, 11056, 282, 3507, 473, 26687, 17978, 4821, 324, 13, 29966, 1157, 49296, 24306, 24661, 32042, 9798, 3609, 17, 503, 383, 16767, 19007, 478, 983, 6316, 1162, 294, 11831, 549, 3785, 470, 473, 15362, 684, 13, 18083, 1764, 899, 15507, 18, 3739, 282, 2343, 4160, 492, 1974, 281, 4778, 44950, 504, 684, 684, 685, 28809, 6700, 29283, 9381, 15783, 282, 31692, 349, 20232, 1070, 16527, 289, 12441, 758, 42451, 282, 4301, 11220, 1251, 478, 983, 555, 344, 357, 9714, 339, 470, 289, 478, 28516, 9714, 339, 861, 1367, 803, 30572, 478, 672, 4790, 277, 470, 3828, 7897, 16, 29381, 294, 478, 28516, 9714, 306, 861, 33736, 26369, 1257, 13089, 2570, 5785, 4788, 478, 983, 6316, 778, 21052, 861, 824, 505, 3352, 16, 282, 3507, 371, 8728, 582, 309, 4856, 282, 5579, 17, 9400, 294, 1764, 899, 712, 272, 16581, 2846, 1631, 282, 14561, 16776, 16, 1176, 411, 1129, 11103, 364, 34091, 19361, 24306, 15783, 18, 608, 660, 38391, 1752, 282, 970, 16, 374, 1188, 2872, 1717, 1500, 1135, 16, 2024, 745, 20733, 16, 29966, 1157, 424, 20129, 18802, 22059, 1764, 899, 15507, 281, 14994, 289, 24661, 16794, 281, 2923, 11690, 718, 24674, 18, 2046, 5688, 3359, 2780, 8233, 7107, 4214, 16, 22074, 16, 289, 309, 505, 19698, 1013, 46665, 538, 8811, 7583, 6233, 18, 365, 1423, 3678, 16, 478, 15210, 470, 477, 7755, 309, 7897, 282, 5781, 17329, 20043, 45670, 30, 478, 14102, 960, 724, 572, 1727, 7831, 282, 5579, 17, 9400, 18, 1937, 492, 5008, 282, 4856, 16, 294, 3130, 282, 20361, 9311, 34591, 289, 19645, 16, 374, 492, 20817, 861, 365, 3198, 1759, 4786, 906, 4773, 2773, 282, 13331, 6233, 16, 988, 8811, 24306, 8982, 31505, 963, 868, 309, 11923, 1764, 899, 15507, 18, 2046, 1177, 963, 868, 685, 5891, 637, 16508, 9205, 5368, 2175, 16, 367, 2419, 8811, 12897, 680, 36667, 334, 29933, 322, 6984, 3018, 22473, 2204, 6676, 3193, 309, 2923, 1175, 18, 365, 3198, 11675, 2675, 749, 12119, 5197, 3225, 2282, 1102, 649, 5688, 5540, 18, 15940, 4151, 24306, 15783, 16, 334, 3352, 478, 983, 6316, 718, 30369, 324, 910, 639, 17360, 9368, 1143, 322, 22473, 8597, 448, 3193, 309, 2923, 2407, 18, 478, 4441, 16, 2091, 16, 14491, 5034, 7037, 510, 744, 17, 8422, 299, 289, 744, 17, 14220, 15068, 14386, 2005, 1631, 309, 2759, 2923, 6246, 1878, 3376, 13561, 2585, 4000, 910, 510, 4725, 18290, 10015, 478, 672, 4790, 277, 861, 47245, 10983, 11552, 5246, 4534, 322, 3225, 18, 365, 10882, 282, 2333, 10088, 1087, 45930, 15783, 12002, 16, 374, 5241, 3626, 5825, 1623, 1008, 416, 15734, 2206, 16, 289, 34991, 722, 17245, 18, 4756, 8846, 16, 374, 334, 19745, 42912, 282, 31692, 334, 5625, 5533, 911, 264, 898, 3696, 2626, 2846, 3609, 17, 503, 383, 16767, 9887, 680, 294, 11831, 416, 2241, 510, 3203, 7491, 5434, 7067, 504, 684, 684, 16, 6187, 334, 46907, 289, 12863, 33423, 478, 28516, 9714, 274, 470, 7974, 9969, 1624, 2615, 9128, 20148, 8840, 504, 684, 684, 10121, 385, 1905, 291, 1051, 16, 9128, 20148, 8840, 334, 6049, 395, 504, 684, 684, 7550, 1764, 899, 712, 16, 7996, 469, 2244, 16596, 6660, 504, 684, 684, 6370, 31703, 1388, 18, 9887, 1162, 12483, 4434, 2582, 3609, 17, 23390, 2477, 504, 684, 684, 282, 970, 16, 374, 745, 16, 13025, 2993, 8340, 22141, 289, 39443, 8343, 9471, 19716, 478, 28516, 9714, 274, 910, 48709, 360, 12897, 680, 1963, 478, 8844, 262, 1074, 326, 8597, 448, 24863, 309, 15966, 30477, 46511, 16, 734, 25063, 6355, 349, 399, 2244, 712, 2906, 424, 12897, 778, 294, 11831, 5129, 309, 16241, 454, 2304, 2206, 478, 28516, 9714, 274, 910, 17548, 1166, 46098, 39304, 41476, 16, 1426, 3222, 6357, 272, 24564, 697, 281, 478, 28516, 9714, 339, 470, 334, 1033, 23274, 20456, 861, 46899, 11285, 15783, 46039, 13312, 16, 7730, 1545, 1158, 758, 17161, 489, 758, 20323, 3609, 17, 23390, 2477, 478, 28516, 9714, 274, 470, 478, 983, 555, 344, 357, 9714, 306, 470, 289, 504, 684, 684, 16, 282, 4843, 10590, 3763, 18, 2046, 3720, 24307, 282, 1634, 15116, 36204, 11815, 292, 31387, 33638, 1519, 5866, 932, 4843, 21, 16, 25, 443, 22, 5096, 16, 26388, 309, 584, 11452, 312, 14570, 14340, 1069, 47784, 478, 28516, 9714, 274, 470, 48503, 24206, 403, 1633, 277, 2509, 17325, 17310, 2898, 309, 442, 435, 4178, 879, 294, 11831, 16, 367, 1038, 309, 502, 16, 374, 478, 28516, 9714, 295, 910, 31070, 411, 504, 684, 684, 16, 9600, 33210, 17322, 34108, 10177, 2241, 16, 2588, 12897, 2818, 5341, 306, 1441, 1513, 11670, 9600, 281, 25788, 18, 478, 563, 19444, 16, 2091, 16, 44724, 549, 18, 889, 9600, 12006, 49135, 871, 1175, 18, 20601, 451, 1247, 510, 32365, 1764, 899, 15507, 18, 1178, 492, 17642, 1175, 16, 481, 26780, 341, 6730, 16, 453, 428, 22863, 309, 14386, 2357, 31358, 18473, 282, 2107, 4008, 18, 4756, 21178, 50239, 12143, 687, 33487, 39483, 16, 510, 2548, 4944, 8741, 266, 1051, 1624, 9216, 22029, 346, 5115, 18873, 559, 1072, 43217, 6738, 2335, 18, 510, 5181, 16, 16980, 5702, 1247, 30, 367, 685, 520, 2141, 5809, 37728, 1764, 899, 15507, 19716, 49296, 24306, 35, 2787, 16, 374, 17812, 3352, 290, 9544, 4201, 1559, 40268, 29381, 294, 478, 28516, 9714, 306, 910, 9466, 9012, 282, 14123, 617, 8862, 18, 3791, 13477, 322, 45677, 17978, 4905, 18, 2876, 16, 1055, 1003, 19683, 23518, 16, 4525, 374, 17, 299, 34991, 18, 415, 1594, 2906, 3193, 44222, 26205, 473, 10767, 745, 6984, 1756, 282, 11171, 13, 19502, 349, 8535, 13425, 346, 9084, 18, 1591, 17, 7329, 16, 16020, 44699, 898, 373, 8026, 6025, 1844, 6099, 360, 41134, 33726, 9620, 289, 24307, 18, 1591, 17, 8678, 16, 322, 1965, 6218, 16, 428, 11969, 1743, 334, 35491, 16508, 9205, 5368, 2175, 5688, 5540, 1764, 899, 15507, 3225, 373, 396, 354, 11852, 1248, 1551, 18, 3647, 12897, 778, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 37879, 2931, 1212, 8995, 24595, 3437, 22044, 451, 478, 5853, 20176, 538, 6157, 861, 365, 19356, 664, 12978, 44380, 37879, 2931, 718, 8911, 16, 1977, 873, 281, 37612, 16, 7190, 49027, 19053, 16, 478, 41672, 1453, 3125, 28086, 470, 289, 16, 334, 13460, 3761, 16, 10172, 4202, 478, 42415, 861, 640, 478, 5853, 20176, 538, 6157, 470, 10322, 4684, 1143, 9433, 2791, 30, 2764 ]
[ 7863, 478, 404, 489, 9629, 14351, 1749, 861, 31224, 30, 677, 10882, 282, 37879, 2931, 1212, 8995, 24595, 13333, 478, 5853, 20176, 538, 6157, 470, 510, 11811, 4489, 16502, 2818, 10514, 1147, 9223, 1147, 6071, 597, 478, 563, 538, 6157, 17, 13733, 470, 282, 28441, 1767, 18, 999, 1421, 2299, 13333, 16, 428, 30885, 505, 30111, 510, 5222, 4202, 282, 10720, 37879, 2931, 718, 8911, 18061, 10462, 2611, 401, 1624, 5222, 10514, 434, 4202, 478, 13945, 8938, 4489, 470, 7974, 16378, 1051, 1624, 5854, 26370, 17, 31541, 478, 32258, 324, 470, 7753, 2970, 288, 19937, 289, 14831, 320, 7974, 403, 7558, 1740, 510, 2125, 16012, 36670, 5600, 1135, 18, 7200, 1119, 7461, 18061, 10462, 2611, 401, 25824, 3818, 36857, 18, 478, 45534, 3595, 9597, 1747, 813, 27513, 990, 910, 510, 2913, 887, 30111, 16, 764, 322, 387, 24591, 411, 4534, 18, 365, 4810, 16, 745, 799, 17091, 334, 4080, 17, 299, 12150, 322, 519, 5339, 519, 37879, 2931, 718, 8911, 473, 35124, 14079, 16576, 326, 6367, 329, 9743, 478, 8706, 1941, 31278, 12235, 12603, 414, 16, 374, 697, 322, 5889, 530, 309, 381, 623, 3951, 3359, 541, 14003, 7827, 26391, 5562, 918, 289, 322, 19357, 9025, 1122, 29042, 18, 365, 29390, 47130, 15896, 18, 24195, 478, 5853, 20176, 538, 21358, 470, 281, 43125, 10228, 411, 2598, 309, 14218, 4833, 39625, 5722, 2127, 5894, 18, 365, 6031, 281, 415, 7641, 682, 304, 773, 3711, 8346, 687, 1176, 445, 510, 309, 7467, 4695, 282, 3157, 18, 32843, 321, 14363, 8409, 6367, 478, 404, 3609, 11434, 910, 367, 15961, 4024, 18, 478, 4182, 2048, 16, 753, 1177, 9325, 14119, 35, 817, 6213, 590, 8047, 41947, 510, 656, 32855, 322, 5087, 910, 510, 17294, 977, 975, 7107, 17196, 14999, 2016, 40454, 434, 20268, 16, 34946, 2406, 281, 20722, 33185, 761, 18, 36017, 322, 15607, 7099, 3455, 282, 3705, 14003, 16, 428, 16, 9705, 16, 289, 282, 19163, 1069, 4678, 30556, 37879, 2931, 718, 8911, 18, 478, 677, 356, 1543, 3708, 1336, 15127, 16, 33062, 294, 1420, 910, 510, 281, 9198, 11218, 773, 415, 7641, 25719, 1577, 18, 832, 28895, 16, 1085, 411, 32715, 2339, 10462, 2611, 401, 16, 8044, 2458, 22791, 319, 1514, 510, 289, 12268, 1757, 309, 5595, 282, 26616, 9325, 395, 415, 7641, 2176, 16, 289, 28950, 9325, 395, 281, 21298, 289, 42176, 18, 2112, 924, 428, 11009, 24056, 519, 14003, 16, 34181, 322, 30499, 30, 23444, 330, 6998, 16, 374, 13143, 322, 5505, 6915, 5894, 281, 24021, 18, 10462, 2611, 401, 2382, 10501, 16, 374, 25326, 26649, 898, 322, 40087, 318, 16, 1548, 374, 2962, 539, 11506, 478, 5853, 20176, 538, 21358, 470, 519, 8508, 6175, 639, 424, 20129, 18, 48811, 11287, 20331, 16, 374, 349, 13333, 3711, 13524, 506, 25656, 2827, 42706, 426, 6907, 3643, 18, 478, 24158, 35783, 14388, 4077, 309, 34077, 5066, 651, 44220, 1856, 3033, 4830, 18, 7909, 813, 7187, 16843, 8475, 16, 381, 803, 1299, 6949, 289, 36063, 37879, 368, 26524, 30860, 18, 740, 971, 639, 19056, 813, 322, 33431, 651, 289, 6843, 2438, 726, 1965, 4753, 910, 510, 20331, 10462, 2611, 401, 18, 26552, 11811, 6876, 14003, 9914, 322, 3453, 10462, 312, 6589, 1624, 367, 478, 42359, 825, 289, 11840, 1147, 910, 428, 678, 505, 38033, 1999, 455, 16, 16378, 1051, 272, 18, 365, 8933, 4202, 309, 3614, 478, 24073, 470, 15762, 1569, 5626, 281, 8296, 5741, 3990, 30, 492, 2353, 309, 2059, 13297, 281, 25656, 2409, 9777, 7237, 42438, 10521, 3259, 18, 3026, 575, 1017, 3231, 5703, 382, 281, 8907, 3314, 23049, 478, 1098, 13230, 10435, 470, 4210, 19582, 433, 321, 2509, 478, 822, 845, 20188, 470, 510, 282, 1967, 1069, 4678, 16378, 1051, 1320, 13694, 3455, 18, 478, 13762, 297, 427, 10462, 2611, 401, 428, 17, 299, 10761, 437, 784, 309, 3709, 411, 9870, 289, 15395, 4366, 1450, 910, 510, 4848, 28312, 478, 32485, 18, 8381, 470, 16378, 1051, 18, 817, 9848, 16, 374, 4498, 1655, 7387, 381, 20926, 30556, 37879, 2931, 718, 8911, 30, 478, 1140, 703, 912, 8404, 16, 961, 2184, 16478, 861, 824, 505, 3163, 16, 492, 24388, 294, 37879, 2931, 2818, 8995, 36503, 16, 515, 4366, 10462, 312, 6589, 7214, 18, 16539, 1949, 4776, 2158, 16, 309, 3709, 411, 5606, 17527, 291, 282, 3157, 16, 785, 34144, 1858, 10073, 11011, 7955, 25522, 5343, 510, 5579, 17, 9400, 16, 16378, 1051, 272, 8625, 414, 28928, 282, 11741, 1015, 582, 281, 19716, 688, 630, 12775, 18, 2112, 978, 492, 26728, 6843, 294, 37879, 2931, 2818, 8995, 30, 478, 1358, 3218, 16, 374, 7865, 37879, 2931, 718, 8911, 2742, 3513, 31763, 16, 24268, 607, 510, 481, 10860, 4457, 18, 3529, 417, 18851, 478, 5853, 20176, 538, 6157, 861, 640, 15740, 478, 5853, 20176, 538, 21358, 470, 25627, 1143, 9433, 2791, 16, 2548, 16378, 1051, 473, 1659, 265, 2611, 401, 16, 334, 722, 3163, 16, 322, 5095, 759, 9218, 16, 3176, 30373, 309, 15740, 14003, 814, 21507, 7863, 478, 404, 489, 9629, 14351, 1749, 861, 478, 12134, 326, 5177, 896, 382, 16, 961, 40111, 334, 1156, 2791, 16, 289, 898, 518, 16, 1085, 14522, 334, 1910, 390, 4662, 16, 515, 24581, 322, 41666, 2253, 697, 11875, 18, 889, 322, 18909, 37361, 16, 282, 5344, 4211, 6328, 910, 510, 2548, 492, 18, 2839, 1114, 508, 309, 478, 29464, 11764, 17, 19626, 607, 470, 17379, 541, 478, 5853, 20176, 538, 21358, 470, 2500, 651, 2555, 2634, 2791, 18, 25129, 3711, 6861, 16378, 1051, 272, 18, 817, 44197, 11024, 510, 4772, 17, 293, 756, 295, 41992, 510, 309, 22993, 478, 563, 538, 21358, 910, 282, 28441, 1767, 18, 365, 1208, 4934, 773, 7512, 16378, 1051, 322, 36732, 460, 2712, 30, 478, 4441, 322, 453, 4748, 861, 10462, 2611, 401, 26698, 16, 374, 40088, 1909, 478, 5853, 20176, 538, 6157, 470, 281, 3195, 478, 1184, 288, 770, 17151, 523, 11593, 23557, 19849, 1909, 1209, 289, 35804, 16, 828, 1698, 4366, 18, 996, 16, 478, 1358, 24504, 470, 8907, 576, 6716, 306, 12395, 16, 1423, 39523, 329, 26391, 5562, 918, 5911, 1424, 478, 684, 331, 2356, 17, 3509, 299, 2356, 910, 367, 3785, 786, 17, 69, 1892, 4390, 9092, 2703, 4826, 16996, 289, 35665, 9317, 3446, 4876, 18, 365, 10882, 11009, 683, 1074, 326, 29042, 16, 16996, 16, 7481, 382, 334, 5964, 289, 12395, 289, 22457, 281, 1951, 12248, 411, 37879, 368, 3860, 3623, 473, 431, 1710, 309, 478, 5853, 20176, 538, 297, 423, 470, 9780 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7863, 478, 404, 489, 9629, 14351, 1749, 861, 31224, 30, 677, 10882, 282, 37879, 2931, 1212, 8995, 24595, 13333, 478, 5853, 20176, 538, 6157, 470, 510, 11811, 4489, 16502, 2818, 10514, 1147, 9223, 1147, 6071, 597, 478, 563, 538, 6157, 17, 13733, 470, 282, 28441, 1767, 18, 999, 1421, 2299, 13333, 16, 428, 30885, 505, 30111, 510, 5222, 4202, 282, 10720, 37879, 2931, 718, 8911, 18061, 10462, 2611, 401, 1624, 5222, 10514, 434, 4202, 478, 13945, 8938, 4489, 470, 7974, 16378, 1051, 1624, 5854, 26370, 17, 31541, 478, 32258, 324, 470, 7753, 2970, 288, 19937, 289, 14831, 320, 7974, 403, 7558, 1740, 510, 2125, 16012, 36670, 5600, 1135, 18, 7200, 1119, 7461, 18061, 10462, 2611, 401, 25824, 3818, 36857, 18, 478, 45534, 3595, 9597, 1747, 813, 27513, 990, 910, 510, 2913, 887, 30111, 16, 764, 322, 387, 24591, 411, 4534, 18, 365, 4810, 16, 745, 799, 17091, 334, 4080, 17, 299, 12150, 322, 519, 5339, 519, 37879, 2931, 718, 8911, 473, 35124, 14079, 16576, 326, 6367, 329, 9743, 478, 8706, 1941, 31278, 12235, 12603, 414, 16, 374, 697, 322, 5889, 530, 309, 381, 623, 3951, 3359, 541, 14003, 7827, 26391, 5562, 918, 289, 322, 19357, 9025, 1122, 29042, 18, 365, 29390, 47130, 15896, 18, 24195, 478, 5853, 20176, 538, 21358, 470, 281, 43125, 10228, 411, 2598, 309, 14218, 4833, 39625, 5722, 2127, 5894, 18, 365, 6031, 281, 415, 7641, 682, 304, 773, 3711, 8346, 687, 1176, 445, 510, 309, 7467, 4695, 282, 3157, 18, 32843, 321, 14363, 8409, 6367, 478, 404, 3609, 11434, 910, 367, 15961, 4024, 18, 478, 4182, 2048, 16, 753, 1177, 9325, 14119, 35, 817, 6213, 590, 8047, 41947, 510, 656, 32855, 322, 5087, 910, 510, 17294, 977, 975, 7107, 17196, 14999, 2016, 40454, 434, 20268, 16, 34946, 2406, 281, 20722, 33185, 761, 18, 36017, 322, 15607, 7099, 3455, 282, 3705, 14003, 16, 428, 16, 9705, 16, 289, 282, 19163, 1069, 4678, 30556, 37879, 2931, 718, 8911, 18, 478, 677, 356, 1543, 3708, 1336, 15127, 16, 33062, 294, 1420, 910, 510, 281, 9198, 11218, 773, 415, 7641, 25719, 1577, 18, 832, 28895, 16, 1085, 411, 32715, 2339, 10462, 2611, 401, 16, 8044, 2458, 22791, 319, 1514, 510, 289, 12268, 1757, 309, 5595, 282, 26616, 9325, 395, 415, 7641, 2176, 16, 289, 28950, 9325, 395, 281, 21298, 289, 42176, 18, 2112, 924, 428, 11009, 24056, 519, 14003, 16, 34181, 322, 30499, 30, 23444, 330, 6998, 16, 374, 13143, 322, 5505, 6915, 5894, 281, 24021, 18, 10462, 2611, 401, 2382, 10501, 16, 374, 25326, 26649, 898, 322, 40087, 318, 16, 1548, 374, 2962, 539, 11506, 478, 5853, 20176, 538, 21358, 470, 519, 8508, 6175, 639, 424, 20129, 18, 48811, 11287, 20331, 16, 374, 349, 13333, 3711, 13524, 506, 25656, 2827, 42706, 426, 6907, 3643, 18, 478, 24158, 35783, 14388, 4077, 309, 34077, 5066, 651, 44220, 1856, 3033, 4830, 18, 7909, 813, 7187, 16843, 8475, 16, 381, 803, 1299, 6949, 289, 36063, 37879, 368, 26524, 30860, 18, 740, 971, 639, 19056, 813, 322, 33431, 651, 289, 6843, 2438, 726, 1965, 4753, 910, 510, 20331, 10462, 2611, 401, 18, 26552, 11811, 6876, 14003, 9914, 322, 3453, 10462, 312, 6589, 1624, 367, 478, 42359, 825, 289, 11840, 1147, 910, 428, 678, 505, 38033, 1999, 455, 16, 16378, 1051, 272, 18, 365, 8933, 4202, 309, 3614, 478, 24073, 470, 15762, 1569, 5626, 281, 8296, 5741, 3990, 30, 492, 2353, 309, 2059, 13297, 281, 25656, 2409, 9777, 7237, 42438, 10521, 3259, 18, 3026, 575, 1017, 3231, 5703, 382, 281, 8907, 3314, 23049, 478, 1098, 13230, 10435, 470, 4210, 19582, 433, 321, 2509, 478, 822, 845, 20188, 470, 510, 282, 1967, 1069, 4678, 16378, 1051, 1320, 13694, 3455, 18, 478, 13762, 297, 427, 10462, 2611, 401, 428, 17, 299, 10761, 437, 784, 309, 3709, 411, 9870, 289, 15395, 4366, 1450, 910, 510, 4848, 28312, 478, 32485, 18, 8381, 470, 16378, 1051, 18, 817, 9848, 16, 374, 4498, 1655, 7387, 381, 20926, 30556, 37879, 2931, 718, 8911, 30, 478, 1140, 703, 912, 8404, 16, 961, 2184, 16478, 861, 824, 505, 3163, 16, 492, 24388, 294, 37879, 2931, 2818, 8995, 36503, 16, 515, 4366, 10462, 312, 6589, 7214, 18, 16539, 1949, 4776, 2158, 16, 309, 3709, 411, 5606, 17527, 291, 282, 3157, 16, 785, 34144, 1858, 10073, 11011, 7955, 25522, 5343, 510, 5579, 17, 9400, 16, 16378, 1051, 272, 8625, 414, 28928, 282, 11741, 1015, 582, 281, 19716, 688, 630, 12775, 18, 2112, 978, 492, 26728, 6843, 294, 37879, 2931, 2818, 8995, 30, 478, 1358, 3218, 16, 374, 7865, 37879, 2931, 718, 8911, 2742, 3513, 31763, 16, 24268, 607, 510, 481, 10860, 4457, 18, 3529, 417, 18851, 478, 5853, 20176, 538, 6157, 861, 640, 15740, 478, 5853, 20176, 538, 21358, 470, 25627, 1143, 9433, 2791, 16, 2548, 16378, 1051, 473, 1659, 265, 2611, 401, 16, 334, 722, 3163, 16, 322, 5095, 759, 9218, 16, 3176, 30373, 309, 15740, 14003, 814, 21507, 7863, 478, 404, 489, 9629, 14351, 1749, 861, 478, 12134, 326, 5177, 896, 382, 16, 961, 40111, 334, 1156, 2791, 16, 289, 898, 518, 16, 1085, 14522, 334, 1910, 390, 4662, 16, 515, 24581, 322, 41666, 2253, 697, 11875, 18, 889, 322, 18909, 37361, 16, 282, 5344, 4211, 6328, 910, 510, 2548, 492, 18, 2839, 1114, 508, 309, 478, 29464, 11764, 17, 19626, 607, 470, 17379, 541, 478, 5853, 20176, 538, 21358, 470, 2500, 651, 2555, 2634, 2791, 18, 25129, 3711, 6861, 16378, 1051, 272, 18, 817, 44197, 11024, 510, 4772, 17, 293, 756, 295, 41992, 510, 309, 22993, 478, 563, 538, 21358, 910, 282, 28441, 1767, 18, 365, 1208, 4934, 773, 7512, 16378, 1051, 322, 36732, 460, 2712, 30, 478, 4441, 322, 453, 4748, 861, 10462, 2611, 401, 26698, 16, 374, 40088, 1909, 478, 5853, 20176, 538, 6157, 470, 281, 3195, 478, 1184, 288, 770, 17151, 523, 11593, 23557, 19849, 1909, 1209, 289, 35804, 16, 828, 1698, 4366, 18, 996, 16, 478, 1358, 24504, 470, 8907, 576, 6716, 306, 12395, 16, 1423, 39523, 329, 26391, 5562, 918, 5911, 1424, 478, 684, 331, 2356, 17, 3509, 299, 2356, 910, 367, 3785, 786, 17, 69, 1892, 4390, 9092, 2703, 4826, 16996, 289, 35665, 9317, 3446, 4876, 18, 365, 10882, 11009, 683, 1074, 326, 29042, 16, 16996, 16, 7481, 382, 334, 5964, 289, 12395, 289, 22457, 281, 1951, 12248, 411, 37879, 368, 3860, 3623, 473, 431, 1710, 309, 478, 5853, 20176, 538, 297, 423, 470, 9780 ]
[ 3203, 478, 563, 823, 2674, 617, 470, 6096, 30110, 2169, 17014, 10462, 2611, 401, 2323, 14379, 15259, 16, 374, 4836, 541, 14003, 651, 753, 282, 2968, 5440, 475, 11009, 16, 478, 19033, 9674, 3891, 12123, 45554, 8095, 448, 12658, 861, 35091, 29042, 329, 26391, 5562, 918, 44967, 4202, 478, 563, 823, 2674, 622, 470, 289, 478, 4348, 910, 478, 618, 1736, 23866, 18858, 13963, 910, 478, 10245, 377, 300, 17, 19897, 9862, 10080, 1175, 470, 289, 478, 1358, 24504, 861, 824, 3163, 30110, 23372, 16, 282, 13333, 13473, 289, 3723, 14791, 43775, 16, 11531, 36557, 835, 770, 22710, 16, 510, 478, 464, 16, 2616, 656, 5374, 3826, 5056, 3125, 414, 5364, 861, 10462, 2611, 401, 14291, 16, 374, 478, 5853, 20176, 538, 6157, 470, 2125, 16012, 11009, 4202, 478, 10245, 1155, 1157, 12528, 861, 365, 3998, 3598, 745, 4933, 281, 16378, 1051, 1116, 13473, 5426, 282, 3157, 18, 10105, 1360, 4989, 36237, 1655, 478, 10245, 1155, 1157, 470, 11532, 3306, 22759, 778, 12632, 473, 275, 10882, 309, 478, 5853, 20176, 538, 297, 423, 470, 505, 4750, 322, 639, 814, 3739, 282, 29390, 30111, 11614, 478, 28845, 1214, 2632, 470, 510, 32277, 4202, 478, 42415, 861, 999, 14147, 620, 541, 28546, 745, 683, 1074, 326, 35048, 29042, 16, 11885, 4110, 6367, 14003, 16, 16996, 16, 702, 2803, 289, 38902, 6129, 2118, 26649, 309, 17905, 18, 7249, 309, 502, 374, 10462, 2611, 401, 477, 15447, 2323, 16, 374, 12499, 773, 6166, 298, 16346, 5029, 326, 1379, 13333, 478, 563, 538, 297, 4276, 12235, 281, 3781, 323, 6342, 4851, 478, 41730, 1262, 470, 14833, 3038, 17801, 18, 33714, 411, 1129, 7299, 28312, 478, 32485, 18, 8381, 470, 687, 16, 374, 13473, 282, 13333, 14024, 16, 478, 9129, 902, 2094, 16, 374, 481, 910, 282, 18005, 537, 282, 6595, 478, 275, 3009, 428, 322, 29120, 910, 367, 309, 478, 563, 538, 297, 423, 470, 2002, 322, 898, 18, 640, 1247, 16, 334, 27219, 520, 309, 10193, 15623, 282, 803, 1045, 16, 745, 11558, 322, 2458, 18, 26361, 4851, 478, 41730, 1262, 470, 22038, 10732, 687, 281, 33411, 19582, 433, 321, 2509, 16, 281, 3279, 478, 275, 31023, 428, 17, 299, 9677, 282, 23567, 861, 478, 1140, 813, 8148, 16390, 4611, 16, 515, 656, 1337, 24613, 322, 3984, 910, 510, 48318, 11707, 1749, 27216, 3326, 697, 5222, 272, 478, 1098, 13230, 10435, 861, 22271, 7938, 478, 5853, 20176, 538, 21358, 470, 6517, 6521, 309, 11877, 289, 11084, 30, 47313, 541, 6367, 35386, 20834, 84, 38328, 21387, 12877, 16, 32190, 30038, 14013, 509, 8806, 46193, 1624, 22062, 17397, 4874, 399, 8576, 289, 7974, 1241, 5101, 18, 5661, 14945, 2422, 334, 41082, 301, 1147, 12118, 8973, 504, 1412, 1231, 1798, 21269, 22308, 290, 2291, 4485, 404, 18, 365, 19356, 18222, 1272, 10700, 17, 2499, 321, 14722, 473, 560, 995, 530, 20473, 31703, 1388, 1624, 9829, 25744, 291, 289, 4786, 478, 28180, 910, 15443, 38085, 1624, 21106, 4809, 16, 478, 41825, 18609, 350, 470, 289, 6635, 3406, 289, 2894, 564, 8364, 394, 4889, 18, 41917, 295, 2354, 329, 6367, 9466, 29689, 1977, 613, 281, 37612, 14943, 40979, 18, 10952, 17, 7745, 14999, 2001, 586, 1226, 343, 312, 315, 4137, 4025, 2440, 778, 7915, 381, 478, 5853, 20176, 538, 297, 423, 470, 282, 17130, 478, 1605, 890, 4534, 470, 289, 6874, 9665, 309, 3437, 32771, 10547, 16, 478, 25679, 8346, 281, 16268, 3276, 289, 10462, 312, 6589, 861, 13876, 40979, 16, 322, 32715, 2822, 282, 13333, 282, 10882, 16, 4025, 2440, 778, 8633, 282, 19356, 764, 309, 1176, 1119, 18, 2, 1, 87, 1456, 81, 2448, 30, 5786, 12217, 478, 25821, 13147, 470, 567, 16502, 1212, 21095, 11061, 6011, 17, 960, 5254, 434, 289, 15472, 7541, 19148, 16861, 272, 22964, 432, 9870, 334, 5083, 1156, 17, 23745, 11345, 2793, 34609, 779, 18, 31224, 30, 4348, 17573, 6532, 16, 374, 13270, 19257, 4681, 282, 4542, 505, 8401, 14016, 7730, 24978, 3852, 7791, 403, 25186, 1999, 18, 12622, 16, 453, 2650, 289, 639, 281, 25651, 1873, 4947, 4611, 18, 9867, 28416, 282, 478, 32258, 404, 289, 2968, 470, 1279, 3182, 322, 32905, 5085, 18, 740, 282, 4837, 42068, 1110, 6059, 26129, 32940, 4657, 2818, 5633, 21593, 15097, 475, 17, 2767, 11538, 3720, 7200, 18, 824, 17, 15253, 289, 953, 322, 5736, 30, 349, 13852, 40435, 11218, 3229, 1223, 25577, 16, 1085, 373, 17405, 537, 579, 9572, 309, 25986, 42156, 18, 11066, 1655, 12101, 23115, 16, 827, 289, 308, 1737, 965, 282, 22113, 22790, 39198, 2409, 16, 360, 8689, 21460, 1437, 41516, 315, 9473, 1011, 14248, 424, 35518, 1318, 326, 3347, 16, 12509, 349, 1807, 4119, 6478, 1536, 11268, 18, 459, 281, 16709, 282, 6031, 10660, 28291, 16, 1830, 7265, 28383, 24600, 681, 2503, 16, 2521, 334, 43765, 12068, 16, 4167, 2020, 16655, 40572, 504, 853, 3533, 266, 18, 4635, 2184, 13804, 304, 12879, 7831, 4150, 13184, 3720, 365, 408, 483, 16, 14361, 16559, 1143, 14973, 986, 2158, 349, 2338, 6135, 14228, 262, 1502, 289, 19946, 712, 16, 11940, 281, 3808, 2771, 355, 23818, 1040, 440, 1310, 613, 18, 18136, 1807, 16, 282, 18842, 26838, 2710, 17, 299, 281, 3488, 267, 37924, 5331, 351, 2640, 1254, 4011, 959, 2167, 303, 382, 13147, 670, 478, 285, 896, 512, 411, 16787, 470, 510, 3848, 16, 4498, 290, 22668, 13899, 289, 381, 48628, 27709, 18, 5585, 3773, 33091, 16, 2091, 16, 309, 30902, 2662, 10485, 794, 707, 1970, 933, 21118, 473, 24347, 289, 19650, 16, 289, 4556, 16, 289, 6707, 1924, 18031, 31605, 16, 289, 33341, 45762, 35968, 934, 515, 15379, 3872, 2056, 7392, 4465, 873, 2319, 1033, 45901, 1612, 18, 608, 3258, 274, 1558, 1830, 373, 38742, 1030, 717, 742, 282, 2100, 5430, 13147, 670, 505, 575, 19543, 1742, 44245, 477, 5140, 46793, 309, 12112, 49164, 962, 510, 28528, 2110, 1089, 2572, 24274, 680, 27738, 18, 21003, 294, 8361, 13147, 6816, 11973, 4254, 329, 4150, 26932, 685, 16, 4213, 16, 15693, 3328, 16, 515, 289, 481, 24942, 823, 262, 281, 15524, 445, 648, 1374, 519, 20641, 5537, 13127, 18, 985, 2669, 5106, 16, 9024, 4651, 6771, 43086, 21113, 31718, 2514, 5115, 30, 1336, 47187, 381, 11079, 1949, 24335, 2576, 18, 36899, 12840, 5241, 3250, 9815, 277, 745, 322, 898, 6836, 16558, 758, 18, 4950, 935, 2023, 16, 374, 282, 3142, 457, 696, 22700, 718, 2422, 4506, 448, 5556, 36955, 289, 6816, 5980, 10065, 19091, 416, 33037, 323, 18, 17096, 272, 3276, 8297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3203, 478, 563, 823, 2674, 617, 470, 6096, 30110, 2169, 17014, 10462, 2611, 401, 2323, 14379, 15259, 16, 374, 4836, 541, 14003, 651, 753, 282, 2968, 5440, 475, 11009, 16, 478, 19033, 9674, 3891, 12123, 45554, 8095, 448, 12658, 861, 35091, 29042, 329, 26391, 5562, 918, 44967, 4202, 478, 563, 823, 2674, 622, 470, 289, 478, 4348, 910, 478, 618, 1736, 23866, 18858, 13963, 910, 478, 10245, 377, 300, 17, 19897, 9862, 10080, 1175, 470, 289, 478, 1358, 24504, 861, 824, 3163, 30110, 23372, 16, 282, 13333, 13473, 289, 3723, 14791, 43775, 16, 11531, 36557, 835, 770, 22710, 16, 510, 478, 464, 16, 2616, 656, 5374, 3826, 5056, 3125, 414, 5364, 861, 10462, 2611, 401, 14291, 16, 374, 478, 5853, 20176, 538, 6157, 470, 2125, 16012, 11009, 4202, 478, 10245, 1155, 1157, 12528, 861, 365, 3998, 3598, 745, 4933, 281, 16378, 1051, 1116, 13473, 5426, 282, 3157, 18, 10105, 1360, 4989, 36237, 1655, 478, 10245, 1155, 1157, 470, 11532, 3306, 22759, 778, 12632, 473, 275, 10882, 309, 478, 5853, 20176, 538, 297, 423, 470, 505, 4750, 322, 639, 814, 3739, 282, 29390, 30111, 11614, 478, 28845, 1214, 2632, 470, 510, 32277, 4202, 478, 42415, 861, 999, 14147, 620, 541, 28546, 745, 683, 1074, 326, 35048, 29042, 16, 11885, 4110, 6367, 14003, 16, 16996, 16, 702, 2803, 289, 38902, 6129, 2118, 26649, 309, 17905, 18, 7249, 309, 502, 374, 10462, 2611, 401, 477, 15447, 2323, 16, 374, 12499, 773, 6166, 298, 16346, 5029, 326, 1379, 13333, 478, 563, 538, 297, 4276, 12235, 281, 3781, 323, 6342, 4851, 478, 41730, 1262, 470, 14833, 3038, 17801, 18, 33714, 411, 1129, 7299, 28312, 478, 32485, 18, 8381, 470, 687, 16, 374, 13473, 282, 13333, 14024, 16, 478, 9129, 902, 2094, 16, 374, 481, 910, 282, 18005, 537, 282, 6595, 478, 275, 3009, 428, 322, 29120, 910, 367, 309, 478, 563, 538, 297, 423, 470, 2002, 322, 898, 18, 640, 1247, 16, 334, 27219, 520, 309, 10193, 15623, 282, 803, 1045, 16, 745, 11558, 322, 2458, 18, 26361, 4851, 478, 41730, 1262, 470, 22038, 10732, 687, 281, 33411, 19582, 433, 321, 2509, 16, 281, 3279, 478, 275, 31023, 428, 17, 299, 9677, 282, 23567, 861, 478, 1140, 813, 8148, 16390, 4611, 16, 515, 656, 1337, 24613, 322, 3984, 910, 510, 48318, 11707, 1749, 27216, 3326, 697, 5222, 272, 478, 1098, 13230, 10435, 861, 22271, 7938, 478, 5853, 20176, 538, 21358, 470, 6517, 6521, 309, 11877, 289, 11084, 30, 47313, 541, 6367, 35386, 20834, 84, 38328, 21387, 12877, 16, 32190, 30038, 14013, 509, 8806, 46193, 1624, 22062, 17397, 4874, 399, 8576, 289, 7974, 1241, 5101, 18, 5661, 14945, 2422, 334, 41082, 301, 1147, 12118, 8973, 504, 1412, 1231, 1798, 21269, 22308, 290, 2291, 4485, 404, 18, 365, 19356, 18222, 1272, 10700, 17, 2499, 321, 14722, 473, 560, 995, 530, 20473, 31703, 1388, 1624, 9829, 25744, 291, 289, 4786, 478, 28180, 910, 15443, 38085, 1624, 21106, 4809, 16, 478, 41825, 18609, 350, 470, 289, 6635, 3406, 289, 2894, 564, 8364, 394, 4889, 18, 41917, 295, 2354, 329, 6367, 9466, 29689, 1977, 613, 281, 37612, 14943, 40979, 18, 10952, 17, 7745, 14999, 2001, 586, 1226, 343, 312, 315, 4137, 4025, 2440, 778, 7915, 381, 478, 5853, 20176, 538, 297, 423, 470, 282, 17130, 478, 1605, 890, 4534, 470, 289, 6874, 9665, 309, 3437, 32771, 10547, 16, 478, 25679, 8346, 281, 16268, 3276, 289, 10462, 312, 6589, 861, 13876, 40979, 16, 322, 32715, 2822, 282, 13333, 282, 10882, 16, 4025, 2440, 778, 8633, 282, 19356, 764, 309, 1176, 1119, 18, 2, 1, 87, 1456, 81, 2448, 30, 5786, 12217, 478, 25821, 13147, 470, 567, 16502, 1212, 21095, 11061, 6011, 17, 960, 5254, 434, 289, 15472, 7541, 19148, 16861, 272, 22964, 432, 9870, 334, 5083, 1156, 17, 23745, 11345, 2793, 34609, 779, 18, 31224, 30, 4348, 17573, 6532, 16, 374, 13270, 19257, 4681, 282, 4542, 505, 8401, 14016, 7730, 24978, 3852, 7791, 403, 25186, 1999, 18, 12622, 16, 453, 2650, 289, 639, 281, 25651, 1873, 4947, 4611, 18, 9867, 28416, 282, 478, 32258, 404, 289, 2968, 470, 1279, 3182, 322, 32905, 5085, 18, 740, 282, 4837, 42068, 1110, 6059, 26129, 32940, 4657, 2818, 5633, 21593, 15097, 475, 17, 2767, 11538, 3720, 7200, 18, 824, 17, 15253, 289, 953, 322, 5736, 30, 349, 13852, 40435, 11218, 3229, 1223, 25577, 16, 1085, 373, 17405, 537, 579, 9572, 309, 25986, 42156, 18, 11066, 1655, 12101, 23115, 16, 827, 289, 308, 1737, 965, 282, 22113, 22790, 39198, 2409, 16, 360, 8689, 21460, 1437, 41516, 315, 9473, 1011, 14248, 424, 35518, 1318, 326, 3347, 16, 12509, 349, 1807, 4119, 6478, 1536, 11268, 18, 459, 281, 16709, 282, 6031, 10660, 28291, 16, 1830, 7265, 28383, 24600, 681, 2503, 16, 2521, 334, 43765, 12068, 16, 4167, 2020, 16655, 40572, 504, 853, 3533, 266, 18, 4635, 2184, 13804, 304, 12879, 7831, 4150, 13184, 3720, 365, 408, 483, 16, 14361, 16559, 1143, 14973, 986, 2158, 349, 2338, 6135, 14228, 262, 1502, 289, 19946, 712, 16, 11940, 281, 3808, 2771, 355, 23818, 1040, 440, 1310, 613, 18, 18136, 1807, 16, 282, 18842, 26838, 2710, 17, 299, 281, 3488, 267, 37924, 5331, 351, 2640, 1254, 4011, 959, 2167, 303, 382, 13147, 670, 478, 285, 896, 512, 411, 16787, 470, 510, 3848, 16, 4498, 290, 22668, 13899, 289, 381, 48628, 27709, 18, 5585, 3773, 33091, 16, 2091, 16, 309, 30902, 2662, 10485, 794, 707, 1970, 933, 21118, 473, 24347, 289, 19650, 16, 289, 4556, 16, 289, 6707, 1924, 18031, 31605, 16, 289, 33341, 45762, 35968, 934, 515, 15379, 3872, 2056, 7392, 4465, 873, 2319, 1033, 45901, 1612, 18, 608, 3258, 274, 1558, 1830, 373, 38742, 1030, 717, 742, 282, 2100, 5430, 13147, 670, 505, 575, 19543, 1742, 44245, 477, 5140, 46793, 309, 12112, 49164, 962, 510, 28528, 2110, 1089, 2572, 24274, 680, 27738, 18, 21003, 294, 8361, 13147, 6816, 11973, 4254, 329, 4150, 26932, 685, 16, 4213, 16, 15693, 3328, 16, 515, 289, 481, 24942, 823, 262, 281, 15524, 445, 648, 1374, 519, 20641, 5537, 13127, 18, 985, 2669, 5106, 16, 9024, 4651, 6771, 43086, 21113, 31718, 2514, 5115, 30, 1336, 47187, 381, 11079, 1949, 24335, 2576, 18, 36899, 12840, 5241, 3250, 9815, 277, 745, 322, 898, 6836, 16558, 758, 18, 4950, 935, 2023, 16, 374, 282, 3142, 457, 696, 22700, 718, 2422, 4506, 448, 5556, 36955, 289, 6816, 5980, 10065, 19091, 416, 33037, 323, 18, 17096, 272, 3276, 8297 ]
[ 979, 978, 25867, 13717, 29247, 451, 14802, 356, 16, 21349, 426, 1779, 5020, 1133, 15491, 5249, 2632, 18, 365, 42139, 1700, 27667, 9105, 16708, 2713, 16844, 811, 14742, 7583, 21773, 510, 13707, 12097, 2080, 1386, 48038, 18, 7743, 19740, 519, 924, 16, 374, 504, 853, 3533, 266, 47079, 5140, 24331, 294, 4679, 9502, 277, 3662, 34636, 510, 3754, 16, 282, 9146, 6160, 3619, 3038, 18, 832, 20055, 3413, 21447, 16, 374, 1717, 1542, 48583, 2756, 9402, 31382, 25292, 6114, 309, 9283, 2638, 4607, 16, 515, 374, 17, 299, 20423, 282, 32700, 304, 28941, 476, 1110, 986, 4726, 3523, 10420, 18, 40772, 2242, 742, 19045, 32296, 3861, 971, 281, 38427, 30, 478, 28810, 5, 1345, 20223, 702, 2803, 6860, 12280, 23697, 16, 7089, 16, 374, 11197, 2016, 36955, 282, 26908, 1212, 33763, 27019, 5456, 2773, 411, 531, 10190, 718, 1326, 42863, 510, 481, 685, 9239, 13147, 11719, 11973, 4254, 16, 27030, 7680, 6816, 18, 5043, 16, 5750, 2636, 23184, 783, 322, 13494, 10007, 17, 22283, 718, 9766, 16, 453, 374, 47237, 3361, 1949, 17367, 1532, 12299, 282, 1420, 653, 397, 402, 291, 8634, 18, 439, 309, 6734, 8405, 10910, 549, 12529, 18250, 6059, 18, 5161, 16, 411, 35013, 38472, 1861, 942, 920, 7027, 1558, 518, 11461, 16, 371, 3599, 1639, 5081, 341, 12372, 10073, 9244, 357, 7425, 6551, 309, 25453, 289, 6891, 18, 439, 6174, 3469, 4738, 525, 18031, 27841, 478, 630, 2592, 41710, 13147, 470, 5923, 1830, 289, 8921, 3595, 16, 515, 3872, 19042, 2906, 5556, 16, 43630, 1527, 16644, 43021, 504, 853, 9036, 1011, 8862, 290, 505, 3422, 655, 29124, 16, 587, 623, 4879, 294, 14810, 32480, 11345, 2793, 28009, 5723, 952, 792, 345, 1941, 16, 6996, 5184, 680, 18, 31995, 22805, 510, 15698, 31197, 16, 697, 558, 8469, 3030, 3217, 670, 8496, 7359, 21602, 8471, 9904, 27327, 16, 515, 16, 785, 1743, 32829, 519, 36204, 1857, 291, 16, 282, 1129, 1494, 18421, 6505, 38475, 17740, 18, 2, 1, 87, 1456, 81, 2448, 30, 2997, 671, 1501, 47208, 21949, 16414, 3322, 2701, 919, 14764, 32738, 49344, 795, 18, 28865, 4309, 26408, 4290, 1559, 24910, 12411, 4048, 10352, 1711, 16, 13036, 478, 2176, 793, 1352, 48171, 910, 478, 9284, 285, 13766, 287, 470, 289, 478, 18771, 416, 15468, 861, 31224, 30, 2997, 671, 1501, 47208, 8566, 3322, 2701, 919, 14764, 32738, 49344, 795, 18, 967, 2452, 2431, 18536, 10958, 3744, 31181, 1421, 7426, 38796, 933, 8621, 16, 282, 1639, 40587, 29240, 19809, 4119, 16, 371, 803, 4502, 2919, 9756, 16, 1881, 2508, 1033, 491, 4500, 18, 6867, 609, 282, 2849, 519, 430, 4209, 11826, 779, 18, 27289, 15887, 339, 371, 4609, 9702, 32738, 1559, 5040, 5844, 447, 281, 4286, 16442, 411, 37213, 287, 18, 14373, 1756, 282, 16292, 547, 14526, 12307, 24910, 12411, 4048, 10352, 1711, 18, 817, 5568, 1650, 7768, 15474, 1472, 4843, 21, 16, 21, 281, 4286, 5383, 11581, 9778, 272, 16442, 282, 4301, 1634, 40429, 18, 365, 4810, 16, 2197, 411, 7426, 18447, 973, 282, 1405, 6623, 281, 4048, 10352, 1711, 510, 10779, 2403, 8736, 273, 478, 18771, 549, 32148, 470, 1624, 5371, 2523, 334, 34689, 21407, 2198, 18864, 33485, 12458, 798, 403, 11365, 510, 49856, 282, 30681, 13006, 464, 18, 640, 7422, 2468, 40599, 31275, 504, 4013, 271, 1624, 1029, 5548, 16480, 11268, 48072, 43253, 307, 282, 12884, 478, 45907, 425, 861, 2320, 45205, 622, 14231, 4843, 21, 16, 25, 281, 4286, 5383, 11581, 16442, 18, 32848, 1211, 575, 49567, 2903, 973, 5371, 5229, 282, 281, 931, 275, 944, 478, 822, 22287, 864, 332, 470, 48824, 16276, 2810, 18, 2320, 6441, 510, 4843, 23, 16, 27, 281, 4286, 1341, 2198, 16442, 18, 365, 6656, 1038, 11596, 39489, 8561, 4048, 3509, 345, 47568, 24, 16, 29, 934, 472, 511, 608, 511, 320, 436, 1152, 47568, 25, 16, 22, 934, 22660, 2549, 49487, 9192, 47568, 26, 934, 11442, 5622, 7676, 356, 47568, 27, 16, 29, 934, 5990, 48786, 47568, 2479, 16, 24, 934, 5990, 37344, 3646, 47568, 2783, 16, 21, 13, 289, 8009, 439, 1832, 792, 47568, 2783, 16, 22, 814, 25768, 27891, 47208, 289, 16414, 411, 5544, 3322, 11726, 432, 35674, 49344, 795, 18, 13353, 3799, 758, 5823, 36490, 16, 961, 9033, 887, 282, 7658, 32290, 267, 432, 3502, 460, 5107, 18, 2785, 6385, 364, 16414, 48288, 20609, 1458, 1624, 10193, 334, 5703, 35597, 49469, 13614, 282, 478, 780, 285, 31691, 861, 999, 2552, 44373, 773, 24257, 19279, 267, 1952, 11453, 4030, 4843, 16497, 16, 27, 18, 18592, 2619, 8236, 536, 541, 45628, 15474, 4167, 30961, 48288, 334, 4889, 19407, 460, 4141, 9840, 3883, 1832, 576, 47568, 5737, 16, 22, 934, 9774, 5703, 17592, 343, 18, 640, 15301, 2468, 282, 14526, 22607, 460, 6406, 16973, 18026, 267, 1624, 49302, 1712, 11170, 711, 586, 5944, 282, 6867, 36712, 32290, 1015, 42027, 290, 30698, 503, 263, 16, 510, 4843, 14184, 16, 29, 18, 999, 2872, 8272, 38614, 40993, 370, 47568, 5584, 934, 27516, 896, 549, 13036, 478, 1659, 446, 262, 24028, 470, 1624, 289, 26060, 38416, 267, 47568, 10207, 16, 21, 934, 492, 575, 17738, 22263, 411, 478, 780, 285, 1643, 861, 7250, 15096, 43829, 26060, 768, 5830, 267, 1486, 266, 16, 38494, 46809, 47506, 363, 29499, 1624, 14249, 981, 272, 307, 17, 39121, 473, 10524, 510, 478, 780, 285, 1947, 12235, 34225, 14249, 267, 289, 8860, 363, 25547, 18422, 267, 18, 4756, 8054, 47208, 8566, 48078, 973, 46941, 1485, 11826, 779, 18, 365, 16414, 11596, 7459, 12539, 16, 9440, 1952, 16, 38020, 16, 6677, 14863, 432, 7257, 289, 25400, 32752, 18, 20622, 21253, 20295, 289, 3809, 21880, 478, 20659, 2064, 432, 21118, 470, 15947, 30817, 510, 505, 5296, 30081, 282, 4843, 25, 16, 24, 5096, 18, 22271, 2301, 1335, 12512, 16, 2686, 16, 6605, 329, 13681, 507, 322, 4426, 13553, 2381, 7426, 15474, 3502, 460, 936, 16, 367, 411, 17, 431, 9024, 3673, 477, 15154, 334, 13486, 2241, 33911, 633, 74, 5647, 19504, 44944, 282, 4018, 1045, 349, 4843, 24, 16, 21, 5096, 282, 30696, 289, 25447, 3477, 5868, 18, 24605, 1756, 9914, 12458, 15194, 4246, 364, 3418, 877, 281, 26782, 282, 4843, 23, 16, 27, 5096, 18, 365, 803, 1045, 14340, 17812, 22184, 27470, 1559, 12294, 505, 3416, 510, 10779, 2403, 8736, 273, 478, 8936, 275, 825, 4960, 272, 4930, 1920, 470, 1624, 1029, 4223, 282, 6571, 26834, 282, 11500, 11826, 779, 289, 281, 1110, 1326, 17379, 1033, 4843, 25, 5737, 3763, 18, 640, 14515 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 979, 978, 25867, 13717, 29247, 451, 14802, 356, 16, 21349, 426, 1779, 5020, 1133, 15491, 5249, 2632, 18, 365, 42139, 1700, 27667, 9105, 16708, 2713, 16844, 811, 14742, 7583, 21773, 510, 13707, 12097, 2080, 1386, 48038, 18, 7743, 19740, 519, 924, 16, 374, 504, 853, 3533, 266, 47079, 5140, 24331, 294, 4679, 9502, 277, 3662, 34636, 510, 3754, 16, 282, 9146, 6160, 3619, 3038, 18, 832, 20055, 3413, 21447, 16, 374, 1717, 1542, 48583, 2756, 9402, 31382, 25292, 6114, 309, 9283, 2638, 4607, 16, 515, 374, 17, 299, 20423, 282, 32700, 304, 28941, 476, 1110, 986, 4726, 3523, 10420, 18, 40772, 2242, 742, 19045, 32296, 3861, 971, 281, 38427, 30, 478, 28810, 5, 1345, 20223, 702, 2803, 6860, 12280, 23697, 16, 7089, 16, 374, 11197, 2016, 36955, 282, 26908, 1212, 33763, 27019, 5456, 2773, 411, 531, 10190, 718, 1326, 42863, 510, 481, 685, 9239, 13147, 11719, 11973, 4254, 16, 27030, 7680, 6816, 18, 5043, 16, 5750, 2636, 23184, 783, 322, 13494, 10007, 17, 22283, 718, 9766, 16, 453, 374, 47237, 3361, 1949, 17367, 1532, 12299, 282, 1420, 653, 397, 402, 291, 8634, 18, 439, 309, 6734, 8405, 10910, 549, 12529, 18250, 6059, 18, 5161, 16, 411, 35013, 38472, 1861, 942, 920, 7027, 1558, 518, 11461, 16, 371, 3599, 1639, 5081, 341, 12372, 10073, 9244, 357, 7425, 6551, 309, 25453, 289, 6891, 18, 439, 6174, 3469, 4738, 525, 18031, 27841, 478, 630, 2592, 41710, 13147, 470, 5923, 1830, 289, 8921, 3595, 16, 515, 3872, 19042, 2906, 5556, 16, 43630, 1527, 16644, 43021, 504, 853, 9036, 1011, 8862, 290, 505, 3422, 655, 29124, 16, 587, 623, 4879, 294, 14810, 32480, 11345, 2793, 28009, 5723, 952, 792, 345, 1941, 16, 6996, 5184, 680, 18, 31995, 22805, 510, 15698, 31197, 16, 697, 558, 8469, 3030, 3217, 670, 8496, 7359, 21602, 8471, 9904, 27327, 16, 515, 16, 785, 1743, 32829, 519, 36204, 1857, 291, 16, 282, 1129, 1494, 18421, 6505, 38475, 17740, 18, 2, 1, 87, 1456, 81, 2448, 30, 2997, 671, 1501, 47208, 21949, 16414, 3322, 2701, 919, 14764, 32738, 49344, 795, 18, 28865, 4309, 26408, 4290, 1559, 24910, 12411, 4048, 10352, 1711, 16, 13036, 478, 2176, 793, 1352, 48171, 910, 478, 9284, 285, 13766, 287, 470, 289, 478, 18771, 416, 15468, 861, 31224, 30, 2997, 671, 1501, 47208, 8566, 3322, 2701, 919, 14764, 32738, 49344, 795, 18, 967, 2452, 2431, 18536, 10958, 3744, 31181, 1421, 7426, 38796, 933, 8621, 16, 282, 1639, 40587, 29240, 19809, 4119, 16, 371, 803, 4502, 2919, 9756, 16, 1881, 2508, 1033, 491, 4500, 18, 6867, 609, 282, 2849, 519, 430, 4209, 11826, 779, 18, 27289, 15887, 339, 371, 4609, 9702, 32738, 1559, 5040, 5844, 447, 281, 4286, 16442, 411, 37213, 287, 18, 14373, 1756, 282, 16292, 547, 14526, 12307, 24910, 12411, 4048, 10352, 1711, 18, 817, 5568, 1650, 7768, 15474, 1472, 4843, 21, 16, 21, 281, 4286, 5383, 11581, 9778, 272, 16442, 282, 4301, 1634, 40429, 18, 365, 4810, 16, 2197, 411, 7426, 18447, 973, 282, 1405, 6623, 281, 4048, 10352, 1711, 510, 10779, 2403, 8736, 273, 478, 18771, 549, 32148, 470, 1624, 5371, 2523, 334, 34689, 21407, 2198, 18864, 33485, 12458, 798, 403, 11365, 510, 49856, 282, 30681, 13006, 464, 18, 640, 7422, 2468, 40599, 31275, 504, 4013, 271, 1624, 1029, 5548, 16480, 11268, 48072, 43253, 307, 282, 12884, 478, 45907, 425, 861, 2320, 45205, 622, 14231, 4843, 21, 16, 25, 281, 4286, 5383, 11581, 16442, 18, 32848, 1211, 575, 49567, 2903, 973, 5371, 5229, 282, 281, 931, 275, 944, 478, 822, 22287, 864, 332, 470, 48824, 16276, 2810, 18, 2320, 6441, 510, 4843, 23, 16, 27, 281, 4286, 1341, 2198, 16442, 18, 365, 6656, 1038, 11596, 39489, 8561, 4048, 3509, 345, 47568, 24, 16, 29, 934, 472, 511, 608, 511, 320, 436, 1152, 47568, 25, 16, 22, 934, 22660, 2549, 49487, 9192, 47568, 26, 934, 11442, 5622, 7676, 356, 47568, 27, 16, 29, 934, 5990, 48786, 47568, 2479, 16, 24, 934, 5990, 37344, 3646, 47568, 2783, 16, 21, 13, 289, 8009, 439, 1832, 792, 47568, 2783, 16, 22, 814, 25768, 27891, 47208, 289, 16414, 411, 5544, 3322, 11726, 432, 35674, 49344, 795, 18, 13353, 3799, 758, 5823, 36490, 16, 961, 9033, 887, 282, 7658, 32290, 267, 432, 3502, 460, 5107, 18, 2785, 6385, 364, 16414, 48288, 20609, 1458, 1624, 10193, 334, 5703, 35597, 49469, 13614, 282, 478, 780, 285, 31691, 861, 999, 2552, 44373, 773, 24257, 19279, 267, 1952, 11453, 4030, 4843, 16497, 16, 27, 18, 18592, 2619, 8236, 536, 541, 45628, 15474, 4167, 30961, 48288, 334, 4889, 19407, 460, 4141, 9840, 3883, 1832, 576, 47568, 5737, 16, 22, 934, 9774, 5703, 17592, 343, 18, 640, 15301, 2468, 282, 14526, 22607, 460, 6406, 16973, 18026, 267, 1624, 49302, 1712, 11170, 711, 586, 5944, 282, 6867, 36712, 32290, 1015, 42027, 290, 30698, 503, 263, 16, 510, 4843, 14184, 16, 29, 18, 999, 2872, 8272, 38614, 40993, 370, 47568, 5584, 934, 27516, 896, 549, 13036, 478, 1659, 446, 262, 24028, 470, 1624, 289, 26060, 38416, 267, 47568, 10207, 16, 21, 934, 492, 575, 17738, 22263, 411, 478, 780, 285, 1643, 861, 7250, 15096, 43829, 26060, 768, 5830, 267, 1486, 266, 16, 38494, 46809, 47506, 363, 29499, 1624, 14249, 981, 272, 307, 17, 39121, 473, 10524, 510, 478, 780, 285, 1947, 12235, 34225, 14249, 267, 289, 8860, 363, 25547, 18422, 267, 18, 4756, 8054, 47208, 8566, 48078, 973, 46941, 1485, 11826, 779, 18, 365, 16414, 11596, 7459, 12539, 16, 9440, 1952, 16, 38020, 16, 6677, 14863, 432, 7257, 289, 25400, 32752, 18, 20622, 21253, 20295, 289, 3809, 21880, 478, 20659, 2064, 432, 21118, 470, 15947, 30817, 510, 505, 5296, 30081, 282, 4843, 25, 16, 24, 5096, 18, 22271, 2301, 1335, 12512, 16, 2686, 16, 6605, 329, 13681, 507, 322, 4426, 13553, 2381, 7426, 15474, 3502, 460, 936, 16, 367, 411, 17, 431, 9024, 3673, 477, 15154, 334, 13486, 2241, 33911, 633, 74, 5647, 19504, 44944, 282, 4018, 1045, 349, 4843, 24, 16, 21, 5096, 282, 30696, 289, 25447, 3477, 5868, 18, 24605, 1756, 9914, 12458, 15194, 4246, 364, 3418, 877, 281, 26782, 282, 4843, 23, 16, 27, 5096, 18, 365, 803, 1045, 14340, 17812, 22184, 27470, 1559, 12294, 505, 3416, 510, 10779, 2403, 8736, 273, 478, 8936, 275, 825, 4960, 272, 4930, 1920, 470, 1624, 1029, 4223, 282, 6571, 26834, 282, 11500, 11826, 779, 289, 281, 1110, 1326, 17379, 1033, 4843, 25, 5737, 3763, 18, 640, 14515 ]
[ 1718, 4762, 2551, 17833, 45436, 18907, 4707, 287, 30488, 21039, 18, 640, 5734, 2083, 722, 5296, 30081, 282, 4843, 22, 16, 28, 5096, 30, 282, 5344, 349, 2948, 3872, 1561, 2466, 17085, 282, 12890, 16, 21976, 14414, 27067, 1089, 1354, 18, 47009, 2674, 451, 11471, 289, 13036, 28915, 1869, 19209, 48558, 282, 1423, 3678, 12307, 3303, 4367, 1756, 281, 26782, 282, 4843, 21, 16, 27, 5096, 510, 475, 481, 4426, 46907, 505, 21407, 1378, 37307, 29141, 368, 289, 6374, 9, 11400, 28915, 10365, 4966, 478, 1916, 350, 1344, 267, 861, 13224, 326, 12306, 1458, 16844, 2829, 25193, 2223, 510, 4843, 29, 646, 3763, 18, 10915, 16, 374, 22640, 1245, 16, 4424, 13317, 282, 1177, 6656, 18, 3695, 17, 16981, 1405, 1162, 4563, 10038, 2756, 3453, 5834, 6842, 868, 1027, 16, 1586, 322, 29683, 5656, 2159, 5296, 16, 367, 7601, 455, 505, 7557, 18, 2, 1, 87, 1456, 81, 2448, 30, 26577, 1577, 1775, 13495, 1262, 289, 14697, 19480, 10544, 13495, 779, 510, 7614, 17858, 6174, 2301, 24621, 5915, 411, 7619, 45298, 575, 13542, 18, 35378, 23766, 5970, 411, 1888, 2044, 3225, 33749, 1472, 43283, 289, 35862, 1801, 282, 9261, 16061, 4678, 18, 385, 5159, 12014, 304, 2438, 11464, 1756, 282, 2059, 411, 25455, 18839, 266, 17, 275, 23570, 360, 1802, 20114, 510, 492, 1559, 3348, 411, 1223, 1949, 26931, 933, 8974, 2496, 5251, 20994, 18, 31224, 30, 677, 5306, 28415, 1007, 16661, 16544, 434, 10801, 478, 35959, 21929, 910, 282, 4301, 2024, 22399, 14697, 289, 13495, 1262, 28908, 10544, 5936, 779, 282, 10096, 16061, 4678, 18, 36881, 7312, 424, 49624, 8667, 951, 4321, 6868, 715, 461, 2360, 1366, 289, 2236, 411, 13573, 21486, 34273, 28120, 322, 687, 282, 5306, 16, 515, 289, 567, 1514, 2968, 16, 21572, 83, 951, 4321, 18, 365, 2452, 25539, 11926, 1293, 5910, 16, 10711, 411, 1639, 46039, 5936, 17, 23418, 2203, 18, 43149, 950, 282, 25539, 3885, 7723, 309, 19766, 2127, 15122, 16, 18221, 5841, 5363, 16, 1784, 8897, 1051, 16, 31697, 14824, 16, 21831, 45679, 289, 46941, 1485, 18, 4429, 21953, 478, 35959, 21929, 470, 7153, 3151, 281, 17410, 779, 18, 365, 3734, 1045, 282, 17907, 20146, 13531, 3741, 13542, 18, 365, 2849, 281, 4160, 334, 29809, 34245, 33126, 2496, 16864, 16, 367, 282, 2343, 3597, 475, 16061, 268, 548, 8056, 15129, 371, 18995, 7032, 25539, 18, 18098, 1947, 898, 19480, 282, 7518, 7934, 16061, 4678, 18, 12404, 19084, 510, 18839, 7392, 13495, 16, 541, 5538, 1177, 15182, 2272, 16, 4213, 16, 1623, 3818, 13842, 18, 1258, 14020, 11898, 19640, 576, 8955, 17659, 1147, 43820, 1180, 21764, 18, 768, 305, 283, 296, 4194, 16, 4424, 477, 24795, 281, 39644, 665, 282, 17590, 1045, 289, 8712, 7216, 282, 4675, 808, 282, 48123, 6046, 763, 16, 20142, 48994, 428, 2496, 14971, 16, 453, 289, 2496, 13495, 1356, 18, 24712, 2756, 26524, 35764, 47447, 2409, 17659, 434, 1902, 59, 10291, 980, 716, 18, 25582, 24654, 18372, 4621, 8712, 484, 309, 10306, 7468, 29205, 860, 53, 38, 281, 15905, 16434, 3851, 22601, 18, 4922, 12529, 5936, 726, 2756, 20109, 536, 32720, 779, 289, 41138, 32720, 779, 282, 3734, 1045, 18, 42172, 349, 1180, 21764, 282, 9044, 18839, 266, 17, 343, 483, 36784, 2162, 4603, 915, 30692, 715, 41, 24764, 49503, 289, 860, 5266, 19970, 23, 510, 15998, 6523, 1162, 7063, 2496, 5251, 20994, 10801, 18, 776, 30940, 776, 23, 651, 10793, 5554, 11141, 7663, 20876, 4367, 18372, 776, 23, 5092, 281, 4018, 779, 16, 515, 12529, 282, 25300, 263, 478, 409, 1204, 470, 6605, 687, 8802, 3734, 779, 18, 33261, 20975, 2500, 1033, 36180, 16, 828, 3437, 17, 289, 4256, 280, 551, 448, 7475, 442, 305, 283, 296, 599, 343, 776, 23, 18, 403, 7555, 16, 282, 1175, 6134, 580, 13870, 776, 23, 8486, 281, 1658, 7181, 4500, 18, 2791, 16, 367, 442, 305, 283, 296, 599, 343, 510, 281, 1488, 6837, 4500, 18, 2791, 18, 24605, 289, 18326, 2223, 282, 9044, 9032, 887, 25571, 43101, 10183, 1667, 1831, 289, 35130, 816, 17, 55, 7637, 45525, 282, 25300, 263, 478, 292, 305, 283, 296, 4194, 861, 6735, 1027, 6336, 1809, 40664, 334, 8872, 10801, 478, 35959, 21929, 470, 1559, 39181, 17, 38, 29905, 715, 17, 24830, 3144, 18, 727, 3548, 1496, 778, 5554, 16, 1029, 334, 21643, 8503, 49905, 1305, 33169, 16, 27668, 18372, 282, 3734, 1045, 18, 8985, 715, 17, 24830, 3144, 40013, 5022, 28336, 23728, 4372, 6390, 45693, 37422, 16, 3772, 758, 541, 12152, 5854, 718, 8961, 272, 12469, 18, 439, 675, 4970, 313, 334, 5083, 8421, 4621, 685, 4116, 1635, 16, 374, 282, 7044, 349, 1421, 5196, 309, 715, 17, 24830, 3144, 26656, 2364, 2555, 4500, 18, 529, 42244, 291, 18, 39181, 17, 38, 29905, 715, 17, 24830, 3144, 651, 10793, 5554, 5854, 718, 7663, 12250, 263, 1756, 28774, 951, 815, 7162, 1149, 28883, 6122, 1019, 18, 478, 35959, 21929, 470, 282, 9044, 478, 677, 6240, 2265, 1157, 19, 273, 648, 1015, 1952, 470, 1811, 2289, 286, 35130, 2554, 25, 18, 385, 6175, 1728, 11769, 2554, 25, 9467, 3064, 37206, 537, 2142, 20342, 14947, 21681, 29141, 2477, 18, 30284, 18372, 5936, 20330, 345, 18964, 282, 3734, 1045, 18, 1860, 8753, 323, 23087, 2554, 25, 32704, 39254, 289, 9360, 13396, 16, 1811, 11990, 1439, 1353, 2818, 29141, 4276, 16, 510, 5836, 2458, 12556, 18302, 18, 24712, 8712, 484, 282, 478, 431, 521, 17249, 470, 17934, 18970, 7475, 860, 3610, 72, 16, 515, 19988, 12697, 2554, 25, 49, 16, 1029, 12146, 764, 3521, 968, 18, 24605, 289, 18326, 2223, 9032, 887, 1075, 9673, 1075, 4054, 289, 28857, 1802, 4501, 69, 18, 6735, 1757, 282, 9044, 478, 684, 673, 263, 289, 2974, 312, 303, 1254, 470, 4167, 1442, 47186, 559, 1149, 17, 56, 18877, 510, 1176, 411, 1949, 24621, 16, 322, 46462, 12267, 2818, 32830, 14192, 18, 33548, 20330, 345, 6406, 282, 4018, 1045, 289, 7356, 18210, 28546, 289, 14971, 18, 1860, 22694, 20141, 4947, 4611, 1149, 17, 56, 18877, 12016, 37534, 4139, 20361, 1442, 47186, 559, 1302, 17, 56, 18877, 11847, 17, 292, 5521, 16, 3429, 2284, 3348, 411, 25996, 29076, 37086, 26903, 18, 4320, 14765, 687, 12529, 749, 16603, 16, 515, 282, 22792, 1149, 17, 56, 18877, 4040, 20361, 510, 3785, 726, 15075, 311, 511, 320, 1574, 7475, 6085, 29326, 18, 24605, 289, 18326, 2223, 282, 25286, 19425, 35130, 1032, 17, 55, 7637, 289, 969, 4389, 5758, 769, 1201, 3335, 18, 6735, 1757, 2258 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1718, 4762, 2551, 17833, 45436, 18907, 4707, 287, 30488, 21039, 18, 640, 5734, 2083, 722, 5296, 30081, 282, 4843, 22, 16, 28, 5096, 30, 282, 5344, 349, 2948, 3872, 1561, 2466, 17085, 282, 12890, 16, 21976, 14414, 27067, 1089, 1354, 18, 47009, 2674, 451, 11471, 289, 13036, 28915, 1869, 19209, 48558, 282, 1423, 3678, 12307, 3303, 4367, 1756, 281, 26782, 282, 4843, 21, 16, 27, 5096, 510, 475, 481, 4426, 46907, 505, 21407, 1378, 37307, 29141, 368, 289, 6374, 9, 11400, 28915, 10365, 4966, 478, 1916, 350, 1344, 267, 861, 13224, 326, 12306, 1458, 16844, 2829, 25193, 2223, 510, 4843, 29, 646, 3763, 18, 10915, 16, 374, 22640, 1245, 16, 4424, 13317, 282, 1177, 6656, 18, 3695, 17, 16981, 1405, 1162, 4563, 10038, 2756, 3453, 5834, 6842, 868, 1027, 16, 1586, 322, 29683, 5656, 2159, 5296, 16, 367, 7601, 455, 505, 7557, 18, 2, 1, 87, 1456, 81, 2448, 30, 26577, 1577, 1775, 13495, 1262, 289, 14697, 19480, 10544, 13495, 779, 510, 7614, 17858, 6174, 2301, 24621, 5915, 411, 7619, 45298, 575, 13542, 18, 35378, 23766, 5970, 411, 1888, 2044, 3225, 33749, 1472, 43283, 289, 35862, 1801, 282, 9261, 16061, 4678, 18, 385, 5159, 12014, 304, 2438, 11464, 1756, 282, 2059, 411, 25455, 18839, 266, 17, 275, 23570, 360, 1802, 20114, 510, 492, 1559, 3348, 411, 1223, 1949, 26931, 933, 8974, 2496, 5251, 20994, 18, 31224, 30, 677, 5306, 28415, 1007, 16661, 16544, 434, 10801, 478, 35959, 21929, 910, 282, 4301, 2024, 22399, 14697, 289, 13495, 1262, 28908, 10544, 5936, 779, 282, 10096, 16061, 4678, 18, 36881, 7312, 424, 49624, 8667, 951, 4321, 6868, 715, 461, 2360, 1366, 289, 2236, 411, 13573, 21486, 34273, 28120, 322, 687, 282, 5306, 16, 515, 289, 567, 1514, 2968, 16, 21572, 83, 951, 4321, 18, 365, 2452, 25539, 11926, 1293, 5910, 16, 10711, 411, 1639, 46039, 5936, 17, 23418, 2203, 18, 43149, 950, 282, 25539, 3885, 7723, 309, 19766, 2127, 15122, 16, 18221, 5841, 5363, 16, 1784, 8897, 1051, 16, 31697, 14824, 16, 21831, 45679, 289, 46941, 1485, 18, 4429, 21953, 478, 35959, 21929, 470, 7153, 3151, 281, 17410, 779, 18, 365, 3734, 1045, 282, 17907, 20146, 13531, 3741, 13542, 18, 365, 2849, 281, 4160, 334, 29809, 34245, 33126, 2496, 16864, 16, 367, 282, 2343, 3597, 475, 16061, 268, 548, 8056, 15129, 371, 18995, 7032, 25539, 18, 18098, 1947, 898, 19480, 282, 7518, 7934, 16061, 4678, 18, 12404, 19084, 510, 18839, 7392, 13495, 16, 541, 5538, 1177, 15182, 2272, 16, 4213, 16, 1623, 3818, 13842, 18, 1258, 14020, 11898, 19640, 576, 8955, 17659, 1147, 43820, 1180, 21764, 18, 768, 305, 283, 296, 4194, 16, 4424, 477, 24795, 281, 39644, 665, 282, 17590, 1045, 289, 8712, 7216, 282, 4675, 808, 282, 48123, 6046, 763, 16, 20142, 48994, 428, 2496, 14971, 16, 453, 289, 2496, 13495, 1356, 18, 24712, 2756, 26524, 35764, 47447, 2409, 17659, 434, 1902, 59, 10291, 980, 716, 18, 25582, 24654, 18372, 4621, 8712, 484, 309, 10306, 7468, 29205, 860, 53, 38, 281, 15905, 16434, 3851, 22601, 18, 4922, 12529, 5936, 726, 2756, 20109, 536, 32720, 779, 289, 41138, 32720, 779, 282, 3734, 1045, 18, 42172, 349, 1180, 21764, 282, 9044, 18839, 266, 17, 343, 483, 36784, 2162, 4603, 915, 30692, 715, 41, 24764, 49503, 289, 860, 5266, 19970, 23, 510, 15998, 6523, 1162, 7063, 2496, 5251, 20994, 10801, 18, 776, 30940, 776, 23, 651, 10793, 5554, 11141, 7663, 20876, 4367, 18372, 776, 23, 5092, 281, 4018, 779, 16, 515, 12529, 282, 25300, 263, 478, 409, 1204, 470, 6605, 687, 8802, 3734, 779, 18, 33261, 20975, 2500, 1033, 36180, 16, 828, 3437, 17, 289, 4256, 280, 551, 448, 7475, 442, 305, 283, 296, 599, 343, 776, 23, 18, 403, 7555, 16, 282, 1175, 6134, 580, 13870, 776, 23, 8486, 281, 1658, 7181, 4500, 18, 2791, 16, 367, 442, 305, 283, 296, 599, 343, 510, 281, 1488, 6837, 4500, 18, 2791, 18, 24605, 289, 18326, 2223, 282, 9044, 9032, 887, 25571, 43101, 10183, 1667, 1831, 289, 35130, 816, 17, 55, 7637, 45525, 282, 25300, 263, 478, 292, 305, 283, 296, 4194, 861, 6735, 1027, 6336, 1809, 40664, 334, 8872, 10801, 478, 35959, 21929, 470, 1559, 39181, 17, 38, 29905, 715, 17, 24830, 3144, 18, 727, 3548, 1496, 778, 5554, 16, 1029, 334, 21643, 8503, 49905, 1305, 33169, 16, 27668, 18372, 282, 3734, 1045, 18, 8985, 715, 17, 24830, 3144, 40013, 5022, 28336, 23728, 4372, 6390, 45693, 37422, 16, 3772, 758, 541, 12152, 5854, 718, 8961, 272, 12469, 18, 439, 675, 4970, 313, 334, 5083, 8421, 4621, 685, 4116, 1635, 16, 374, 282, 7044, 349, 1421, 5196, 309, 715, 17, 24830, 3144, 26656, 2364, 2555, 4500, 18, 529, 42244, 291, 18, 39181, 17, 38, 29905, 715, 17, 24830, 3144, 651, 10793, 5554, 5854, 718, 7663, 12250, 263, 1756, 28774, 951, 815, 7162, 1149, 28883, 6122, 1019, 18, 478, 35959, 21929, 470, 282, 9044, 478, 677, 6240, 2265, 1157, 19, 273, 648, 1015, 1952, 470, 1811, 2289, 286, 35130, 2554, 25, 18, 385, 6175, 1728, 11769, 2554, 25, 9467, 3064, 37206, 537, 2142, 20342, 14947, 21681, 29141, 2477, 18, 30284, 18372, 5936, 20330, 345, 18964, 282, 3734, 1045, 18, 1860, 8753, 323, 23087, 2554, 25, 32704, 39254, 289, 9360, 13396, 16, 1811, 11990, 1439, 1353, 2818, 29141, 4276, 16, 510, 5836, 2458, 12556, 18302, 18, 24712, 8712, 484, 282, 478, 431, 521, 17249, 470, 17934, 18970, 7475, 860, 3610, 72, 16, 515, 19988, 12697, 2554, 25, 49, 16, 1029, 12146, 764, 3521, 968, 18, 24605, 289, 18326, 2223, 9032, 887, 1075, 9673, 1075, 4054, 289, 28857, 1802, 4501, 69, 18, 6735, 1757, 282, 9044, 478, 684, 673, 263, 289, 2974, 312, 303, 1254, 470, 4167, 1442, 47186, 559, 1149, 17, 56, 18877, 510, 1176, 411, 1949, 24621, 16, 322, 46462, 12267, 2818, 32830, 14192, 18, 33548, 20330, 345, 6406, 282, 4018, 1045, 289, 7356, 18210, 28546, 289, 14971, 18, 1860, 22694, 20141, 4947, 4611, 1149, 17, 56, 18877, 12016, 37534, 4139, 20361, 1442, 47186, 559, 1302, 17, 56, 18877, 11847, 17, 292, 5521, 16, 3429, 2284, 3348, 411, 25996, 29076, 37086, 26903, 18, 4320, 14765, 687, 12529, 749, 16603, 16, 515, 282, 22792, 1149, 17, 56, 18877, 4040, 20361, 510, 3785, 726, 15075, 311, 511, 320, 1574, 7475, 6085, 29326, 18, 24605, 289, 18326, 2223, 282, 25286, 19425, 35130, 1032, 17, 55, 7637, 289, 969, 4389, 5758, 769, 1201, 3335, 18, 6735, 1757, 2258 ]
[ 275, 599, 547, 14449, 45447, 674, 534, 769, 24, 969, 658, 633, 2643, 18, 640, 1169, 23970, 267, 29885, 37, 15484, 27515, 1050, 45447, 674, 534, 478, 348, 343, 6275, 470, 6402, 39254, 16, 1586, 10353, 12693, 3748, 282, 14548, 16967, 3741, 13542, 2241, 18, 24712, 9727, 8991, 24412, 9716, 44973, 289, 50008, 541, 8389, 7663, 9408, 304, 16411, 18, 24605, 1756, 28774, 18839, 266, 17, 275, 599, 392, 1802, 20114, 769, 38328, 87, 510, 2180, 14073, 27964, 2818, 289, 29777, 334, 14540, 26931, 2818, 3995, 306, 16, 4483, 35745, 282, 2875, 5251, 20994, 10801, 18, 640, 15301, 2468, 40599, 28857, 29728, 5282, 83, 769, 2716, 838, 18, 41651, 16, 374, 10544, 20361, 289, 2258, 275, 2817, 16, 6133, 2458, 7211, 1162, 289, 43277, 5936, 16, 5840, 326, 687, 309, 5137, 19766, 933, 653, 8783, 510, 25539, 282, 36362, 7878, 8974, 282, 803, 16354, 8465, 322, 371, 966, 576, 18, 19325, 549, 36177, 478, 44723, 879, 21929, 470, 541, 3453, 33947, 15891, 4621, 1811, 2289, 798, 20288, 348, 34692, 35130, 7911, 23, 18, 4922, 7063, 1623, 3215, 322, 890, 947, 842, 416, 541, 1439, 1353, 680, 8934, 16, 5928, 26958, 3319, 9240, 6150, 3995, 2608, 281, 794, 1838, 11835, 31264, 289, 14377, 536, 39108, 339, 18, 35130, 7911, 23, 651, 27232, 282, 16688, 25286, 3322, 33947, 40403, 8974, 3739, 2197, 30030, 36177, 38483, 14342, 272, 2075, 4276, 1034, 4790, 4276, 510, 478, 672, 11713, 451, 21929, 861, 47295, 25530, 26903, 33031, 2507, 294, 15248, 4335, 18036, 15788, 8974, 16, 2567, 428, 1902, 59, 1180, 21764, 16, 10291, 980, 716, 289, 776, 30940, 786, 56, 16, 1011, 1660, 15732, 282, 1802, 20114, 282, 5895, 1045, 18, 9432, 7270, 7671, 282, 22350, 268, 35392, 680, 2241, 2756, 6097, 15174, 510, 13495, 1802, 20114, 5684, 12479, 2782, 15424, 10122, 16, 1029, 567, 10246, 3641, 32558, 2354, 26689, 294, 1664, 582, 334, 4547, 8290, 18, 2949, 924, 16, 29635, 22714, 9621, 1154, 8511, 549, 29617, 1902, 59, 1180, 21764, 510, 478, 40, 444, 1180, 21764, 18, 1130, 633, 21572, 83, 861, 2, 1, 87, 1456, 81, 2448, 30, 17394, 3252, 266, 17, 32402, 18573, 6070, 10512, 301, 2506, 15279, 18894, 282, 39309, 19048, 16, 39677, 12348, 11627, 2764, 329, 43857, 16, 961, 322, 6558, 13656, 428, 28872, 37745, 18, 4530, 867, 12652, 448, 10438, 284, 804, 274, 14764, 2891, 7257, 1055, 322, 387, 31505, 537, 2236, 25499, 18, 1268, 465, 3171, 2764, 22083, 39917, 478, 11889, 25230, 536, 470, 43857, 16, 3279, 4137, 6732, 289, 453, 2957, 3389, 24552, 18, 31224, 30, 17394, 3252, 266, 16934, 360, 478, 30635, 1175, 470, 6070, 10512, 301, 2506, 21708, 18894, 309, 23512, 16040, 8031, 454, 282, 1568, 381, 43857, 16, 1586, 8350, 12348, 11627, 2764, 329, 7257, 16, 322, 6558, 756, 6379, 428, 28872, 37745, 18, 478, 2176, 2218, 2193, 16, 753, 2048, 505, 1033, 32396, 16, 639, 373, 10660, 4958, 1245, 31163, 319, 1436, 4314, 8341, 1110, 7257, 16, 961, 25750, 424, 8183, 978, 5738, 289, 322, 41172, 2490, 3450, 4371, 381, 34223, 24749, 4076, 411, 17, 431, 44993, 910, 510, 4848, 10512, 301, 2506, 31244, 17, 14149, 18, 824, 505, 4734, 16, 20881, 7071, 43857, 3674, 2003, 478, 275, 41112, 4666, 12348, 11627, 289, 39917, 16, 3057, 16, 282, 1851, 17, 299, 10575, 16, 411, 2024, 745, 1747, 36980, 19932, 506, 16052, 40486, 432, 43857, 309, 3989, 16146, 448, 7469, 697, 3416, 16, 3057, 2768, 281, 9154, 16, 281, 11915, 4868, 510, 3336, 16, 2319, 745, 664, 7525, 467, 21685, 861, 26036, 3055, 309, 1247, 290, 38508, 13399, 2567, 478, 7671, 488, 2596, 470, 7257, 16, 11309, 6455, 27855, 10445, 35439, 43857, 18, 365, 11500, 282, 5781, 43857, 13487, 12652, 448, 10438, 16, 961, 15244, 8811, 17981, 1624, 45046, 285, 367, 289, 20286, 25383, 5119, 18, 20390, 582, 2496, 11443, 48385, 8770, 478, 780, 339, 1838, 300, 470, 1624, 10933, 32422, 10830, 7257, 10530, 82, 1597, 93, 12877, 1624, 20834, 84, 38328, 21387, 12877, 289, 39381, 1075, 11991, 1234, 15725, 1624, 5922, 478, 3693, 3018, 1631, 910, 10575, 478, 6115, 456, 2696, 44462, 266, 910, 8967, 478, 1009, 13381, 1880, 32247, 470, 44046, 434, 16061, 268, 354, 309, 35361, 2127, 21901, 2422, 5151, 28852, 16048, 392, 7701, 2344, 289, 32809, 42223, 273, 1162, 4786, 18, 365, 45046, 843, 32039, 16, 374, 33462, 10438, 43857, 17897, 541, 36003, 453, 25168, 7796, 25106, 18, 365, 35097, 4639, 16, 282, 1423, 3678, 16, 36680, 16, 374, 43857, 3337, 4283, 309, 9185, 4760, 290, 3416, 4092, 11504, 17664, 21456, 7257, 18, 999, 808, 3193, 5738, 381, 43857, 726, 685, 3022, 16, 785, 25656, 549, 8967, 478, 11699, 341, 289, 3148, 470, 411, 16752, 49731, 265, 17859, 282, 45046, 285, 281, 14503, 19519, 722, 282, 6656, 7796, 25106, 16, 515, 7356, 3038, 749, 17658, 4284, 18, 478, 18386, 18, 8381, 470, 19539, 16, 374, 5224, 1262, 45046, 419, 322, 6597, 16, 428, 14806, 309, 11204, 1177, 1568, 18, 14445, 6732, 18519, 5792, 322, 48044, 1512, 1629, 4869, 290, 3337, 1165, 282, 43857, 18, 1367, 803, 9805, 4770, 2815, 282, 7337, 18522, 3652, 665, 488, 9960, 7421, 35689, 40, 18, 478, 3096, 1513, 5726, 48044, 16, 374, 1336, 2616, 17, 299, 29600, 467, 16, 11923, 642, 1867, 16, 15453, 2977, 467, 16, 1830, 16, 895, 953, 16, 289, 10225, 15453, 328, 1086, 16, 827, 1749, 2700, 7267, 1568, 18, 2790, 948, 902, 16946, 2710, 17, 299, 49402, 12435, 16, 515, 417, 9763, 16, 374, 481, 5773, 282, 4301, 25150, 3314, 8410, 910, 510, 1109, 492, 18, 3138, 36882, 35689, 40, 3973, 29813, 16, 374, 478, 19696, 1269, 14741, 281, 18806, 15551, 35780, 349, 1137, 7895, 282, 32422, 292, 45298, 24297, 282, 1175, 910, 367, 478, 13776, 1162, 42154, 16, 2993, 953, 16, 4463, 14730, 861, 478, 4441, 387, 21962, 781, 3907, 3450, 42154, 18, 6490, 10049, 322, 3621, 510, 322, 1381, 1512, 48044, 18, 5093, 5882, 4138, 4905, 35586, 910, 510, 2715, 975, 4770, 18, 824, 3761, 9620, 16, 282, 1175, 16995, 1286, 11498, 6474, 574, 3595, 3320, 16, 2470, 1733, 2764, 411, 17, 431, 44993, 18, 2681, 349, 1032, 5196, 1011, 13595, 5738, 309, 12056, 1967, 7257, 411, 17, 431, 8535, 23527, 4039, 16, 23, 5096, 2791, 651, 481, 1715, 4843, 21, 5096, 16, 6177, 1488, 8042, 3763, 2791, 6498, 1248, 9985, 6180, 32422, 18, 478, 8407, 546, 5633, 8770, 322, 2993, 3751, 16, 1085, 289, 309, 374 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 275, 599, 547, 14449, 45447, 674, 534, 769, 24, 969, 658, 633, 2643, 18, 640, 1169, 23970, 267, 29885, 37, 15484, 27515, 1050, 45447, 674, 534, 478, 348, 343, 6275, 470, 6402, 39254, 16, 1586, 10353, 12693, 3748, 282, 14548, 16967, 3741, 13542, 2241, 18, 24712, 9727, 8991, 24412, 9716, 44973, 289, 50008, 541, 8389, 7663, 9408, 304, 16411, 18, 24605, 1756, 28774, 18839, 266, 17, 275, 599, 392, 1802, 20114, 769, 38328, 87, 510, 2180, 14073, 27964, 2818, 289, 29777, 334, 14540, 26931, 2818, 3995, 306, 16, 4483, 35745, 282, 2875, 5251, 20994, 10801, 18, 640, 15301, 2468, 40599, 28857, 29728, 5282, 83, 769, 2716, 838, 18, 41651, 16, 374, 10544, 20361, 289, 2258, 275, 2817, 16, 6133, 2458, 7211, 1162, 289, 43277, 5936, 16, 5840, 326, 687, 309, 5137, 19766, 933, 653, 8783, 510, 25539, 282, 36362, 7878, 8974, 282, 803, 16354, 8465, 322, 371, 966, 576, 18, 19325, 549, 36177, 478, 44723, 879, 21929, 470, 541, 3453, 33947, 15891, 4621, 1811, 2289, 798, 20288, 348, 34692, 35130, 7911, 23, 18, 4922, 7063, 1623, 3215, 322, 890, 947, 842, 416, 541, 1439, 1353, 680, 8934, 16, 5928, 26958, 3319, 9240, 6150, 3995, 2608, 281, 794, 1838, 11835, 31264, 289, 14377, 536, 39108, 339, 18, 35130, 7911, 23, 651, 27232, 282, 16688, 25286, 3322, 33947, 40403, 8974, 3739, 2197, 30030, 36177, 38483, 14342, 272, 2075, 4276, 1034, 4790, 4276, 510, 478, 672, 11713, 451, 21929, 861, 47295, 25530, 26903, 33031, 2507, 294, 15248, 4335, 18036, 15788, 8974, 16, 2567, 428, 1902, 59, 1180, 21764, 16, 10291, 980, 716, 289, 776, 30940, 786, 56, 16, 1011, 1660, 15732, 282, 1802, 20114, 282, 5895, 1045, 18, 9432, 7270, 7671, 282, 22350, 268, 35392, 680, 2241, 2756, 6097, 15174, 510, 13495, 1802, 20114, 5684, 12479, 2782, 15424, 10122, 16, 1029, 567, 10246, 3641, 32558, 2354, 26689, 294, 1664, 582, 334, 4547, 8290, 18, 2949, 924, 16, 29635, 22714, 9621, 1154, 8511, 549, 29617, 1902, 59, 1180, 21764, 510, 478, 40, 444, 1180, 21764, 18, 1130, 633, 21572, 83, 861, 2, 1, 87, 1456, 81, 2448, 30, 17394, 3252, 266, 17, 32402, 18573, 6070, 10512, 301, 2506, 15279, 18894, 282, 39309, 19048, 16, 39677, 12348, 11627, 2764, 329, 43857, 16, 961, 322, 6558, 13656, 428, 28872, 37745, 18, 4530, 867, 12652, 448, 10438, 284, 804, 274, 14764, 2891, 7257, 1055, 322, 387, 31505, 537, 2236, 25499, 18, 1268, 465, 3171, 2764, 22083, 39917, 478, 11889, 25230, 536, 470, 43857, 16, 3279, 4137, 6732, 289, 453, 2957, 3389, 24552, 18, 31224, 30, 17394, 3252, 266, 16934, 360, 478, 30635, 1175, 470, 6070, 10512, 301, 2506, 21708, 18894, 309, 23512, 16040, 8031, 454, 282, 1568, 381, 43857, 16, 1586, 8350, 12348, 11627, 2764, 329, 7257, 16, 322, 6558, 756, 6379, 428, 28872, 37745, 18, 478, 2176, 2218, 2193, 16, 753, 2048, 505, 1033, 32396, 16, 639, 373, 10660, 4958, 1245, 31163, 319, 1436, 4314, 8341, 1110, 7257, 16, 961, 25750, 424, 8183, 978, 5738, 289, 322, 41172, 2490, 3450, 4371, 381, 34223, 24749, 4076, 411, 17, 431, 44993, 910, 510, 4848, 10512, 301, 2506, 31244, 17, 14149, 18, 824, 505, 4734, 16, 20881, 7071, 43857, 3674, 2003, 478, 275, 41112, 4666, 12348, 11627, 289, 39917, 16, 3057, 16, 282, 1851, 17, 299, 10575, 16, 411, 2024, 745, 1747, 36980, 19932, 506, 16052, 40486, 432, 43857, 309, 3989, 16146, 448, 7469, 697, 3416, 16, 3057, 2768, 281, 9154, 16, 281, 11915, 4868, 510, 3336, 16, 2319, 745, 664, 7525, 467, 21685, 861, 26036, 3055, 309, 1247, 290, 38508, 13399, 2567, 478, 7671, 488, 2596, 470, 7257, 16, 11309, 6455, 27855, 10445, 35439, 43857, 18, 365, 11500, 282, 5781, 43857, 13487, 12652, 448, 10438, 16, 961, 15244, 8811, 17981, 1624, 45046, 285, 367, 289, 20286, 25383, 5119, 18, 20390, 582, 2496, 11443, 48385, 8770, 478, 780, 339, 1838, 300, 470, 1624, 10933, 32422, 10830, 7257, 10530, 82, 1597, 93, 12877, 1624, 20834, 84, 38328, 21387, 12877, 289, 39381, 1075, 11991, 1234, 15725, 1624, 5922, 478, 3693, 3018, 1631, 910, 10575, 478, 6115, 456, 2696, 44462, 266, 910, 8967, 478, 1009, 13381, 1880, 32247, 470, 44046, 434, 16061, 268, 354, 309, 35361, 2127, 21901, 2422, 5151, 28852, 16048, 392, 7701, 2344, 289, 32809, 42223, 273, 1162, 4786, 18, 365, 45046, 843, 32039, 16, 374, 33462, 10438, 43857, 17897, 541, 36003, 453, 25168, 7796, 25106, 18, 365, 35097, 4639, 16, 282, 1423, 3678, 16, 36680, 16, 374, 43857, 3337, 4283, 309, 9185, 4760, 290, 3416, 4092, 11504, 17664, 21456, 7257, 18, 999, 808, 3193, 5738, 381, 43857, 726, 685, 3022, 16, 785, 25656, 549, 8967, 478, 11699, 341, 289, 3148, 470, 411, 16752, 49731, 265, 17859, 282, 45046, 285, 281, 14503, 19519, 722, 282, 6656, 7796, 25106, 16, 515, 7356, 3038, 749, 17658, 4284, 18, 478, 18386, 18, 8381, 470, 19539, 16, 374, 5224, 1262, 45046, 419, 322, 6597, 16, 428, 14806, 309, 11204, 1177, 1568, 18, 14445, 6732, 18519, 5792, 322, 48044, 1512, 1629, 4869, 290, 3337, 1165, 282, 43857, 18, 1367, 803, 9805, 4770, 2815, 282, 7337, 18522, 3652, 665, 488, 9960, 7421, 35689, 40, 18, 478, 3096, 1513, 5726, 48044, 16, 374, 1336, 2616, 17, 299, 29600, 467, 16, 11923, 642, 1867, 16, 15453, 2977, 467, 16, 1830, 16, 895, 953, 16, 289, 10225, 15453, 328, 1086, 16, 827, 1749, 2700, 7267, 1568, 18, 2790, 948, 902, 16946, 2710, 17, 299, 49402, 12435, 16, 515, 417, 9763, 16, 374, 481, 5773, 282, 4301, 25150, 3314, 8410, 910, 510, 1109, 492, 18, 3138, 36882, 35689, 40, 3973, 29813, 16, 374, 478, 19696, 1269, 14741, 281, 18806, 15551, 35780, 349, 1137, 7895, 282, 32422, 292, 45298, 24297, 282, 1175, 910, 367, 478, 13776, 1162, 42154, 16, 2993, 953, 16, 4463, 14730, 861, 478, 4441, 387, 21962, 781, 3907, 3450, 42154, 18, 6490, 10049, 322, 3621, 510, 322, 1381, 1512, 48044, 18, 5093, 5882, 4138, 4905, 35586, 910, 510, 2715, 975, 4770, 18, 824, 3761, 9620, 16, 282, 1175, 16995, 1286, 11498, 6474, 574, 3595, 3320, 16, 2470, 1733, 2764, 411, 17, 431, 44993, 18, 2681, 349, 1032, 5196, 1011, 13595, 5738, 309, 12056, 1967, 7257, 411, 17, 431, 8535, 23527, 4039, 16, 23, 5096, 2791, 651, 481, 1715, 4843, 21, 5096, 16, 6177, 1488, 8042, 3763, 2791, 6498, 1248, 9985, 6180, 32422, 18, 478, 8407, 546, 5633, 8770, 322, 2993, 3751, 16, 1085, 289, 309, 374 ]
[ 10047, 2764, 5433, 510, 24463, 1247, 6732, 18, 365, 2343, 3990, 4770, 3508, 13342, 24552, 11963, 8581, 5856, 43857, 282, 430, 16, 25, 4570, 18, 817, 14900, 18856, 290, 4277, 1826, 582, 1967, 43857, 282, 3734, 1045, 282, 9802, 816, 5096, 2791, 18, 491, 16, 23, 5096, 2791, 651, 481, 4770, 1133, 9917, 548, 16, 367, 1286, 3161, 3763, 2791, 5657, 341, 5791, 277, 37732, 309, 10867, 416, 5137, 18, 36881, 36691, 282, 5118, 281, 34915, 5439, 360, 3703, 4160, 4440, 779, 290, 12278, 8347, 43857, 18, 6592, 2856, 3479, 552, 16, 16146, 539, 10895, 48274, 2682, 510, 33733, 662, 16, 14729, 16334, 624, 289, 10623, 18, 999, 1272, 779, 10785, 4696, 2123, 43857, 411, 1335, 9044, 5684, 2764, 18, 6831, 1129, 16, 3057, 16, 478, 28517, 4717, 1175, 910, 1029, 26003, 5860, 16295, 282, 8156, 10301, 9620, 289, 13382, 282, 2510, 628, 8544, 933, 24268, 5868, 18, 23569, 10530, 82, 1597, 93, 12877, 4210, 43791, 4725, 282, 27561, 281, 478, 7128, 305, 323, 18, 8381, 910, 374, 33371, 10512, 5101, 401, 9466, 764, 14794, 35908, 16, 828, 38360, 5862, 1568, 381, 43857, 30, 478, 21393, 8206, 16, 374, 10933, 2891, 10297, 440, 4646, 4364, 17285, 309, 7620, 18868, 5054, 861, 824, 505, 3163, 16, 13022, 31358, 25499, 322, 2993, 48101, 10530, 82, 1597, 93, 12877, 16, 453, 428, 282, 31595, 381, 43857, 5130, 687, 290, 5781, 30542, 16, 367, 10530, 82, 1597, 93, 12877, 31058, 428, 48059, 34570, 3320, 18, 9668, 4202, 478, 3693, 3018, 1631, 470, 9867, 42438, 42932, 23751, 16, 374, 8348, 10512, 5101, 401, 22444, 7667, 5272, 301, 5681, 4307, 3570, 6173, 9620, 30, 478, 3001, 38370, 35154, 45982, 289, 26617, 722, 29469, 16, 23625, 722, 519, 23198, 347, 861, 2861, 17745, 742, 5692, 16, 374, 5922, 537, 349, 374, 322, 840, 23936, 6149, 428, 4454, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 472, 1259, 26969, 1369, 566, 382, 23246, 2901, 12084, 13317, 282, 13335, 1011, 31441, 13305, 18, 824, 7475, 22200, 16, 282, 5894, 281, 681, 4041, 761, 16, 282, 1754, 43396, 6043, 2016, 16, 17770, 887, 478, 33051, 9070, 11593, 10383, 42910, 17, 22, 2479, 6695, 349, 3937, 309, 1977, 280, 5159, 16, 289, 505, 5894, 38299, 857, 309, 1324, 2606, 16, 988, 678, 396, 23074, 3391, 1689, 2148, 17, 15421, 441, 454, 18, 31224, 30, 677, 3507, 4243, 22940, 13305, 281, 12070, 7994, 16, 3814, 291, 5540, 6246, 440, 297, 2858, 353, 18, 365, 7131, 5167, 45582, 35130, 1409, 17, 295, 7756, 281, 5635, 12231, 21908, 439, 10670, 22, 780, 730, 16492, 16, 1029, 11757, 637, 349, 36569, 39298, 334, 2921, 1876, 25970, 473, 730, 1259, 26969, 1369, 12217, 814, 13305, 4983, 764, 5475, 282, 10882, 309, 9057, 5745, 1161, 4625, 16, 988, 31056, 879, 35130, 26054, 281, 45552, 42910, 17, 22, 2479, 6695, 16, 6442, 478, 46088, 18, 8381, 470, 282, 22200, 4534, 18, 478, 3001, 473, 833, 574, 478, 33051, 877, 1476, 9979, 309, 3937, 309, 44250, 510, 309, 1977, 280, 5159, 16, 289, 5894, 7304, 648, 857, 309, 1324, 4368, 25969, 910, 510, 3828, 18290, 282, 3187, 1941, 22200, 18, 5890, 309, 1324, 4762, 16, 334, 7475, 2355, 265, 20128, 16, 11304, 4562, 478, 1515, 24442, 470, 396, 23074, 3391, 35130, 18, 12725, 334, 13874, 277, 289, 36054, 589, 330, 277, 16, 961, 4903, 873, 6547, 1011, 15532, 16, 329, 35130, 3525, 4951, 1004, 1188, 2636, 2301, 16, 714, 530, 25803, 3714, 33848, 18, 640, 9033, 1165, 5554, 21349, 637, 726, 749, 5635, 4568, 25574, 289, 6246, 440, 297, 2858, 18, 608, 478, 33051, 877, 1476, 470, 19082, 3081, 968, 30, 16736, 451, 39388, 3716, 3118, 25233, 282, 10165, 3724, 16, 744, 3974, 8087, 935, 31641, 7994, 18, 3688, 427, 282, 13305, 3619, 13347, 35130, 510, 9216, 472, 1259, 26969, 1369, 566, 382, 23246, 2901, 12084, 18, 3397, 678, 3164, 282, 3571, 7821, 30895, 23567, 8300, 9322, 16425, 2160, 46273, 3946, 11974, 2895, 405, 18, 415, 33770, 722, 28564, 289, 4349, 1055, 10480, 18, 24262, 10770, 451, 10383, 322, 21036, 18, 365, 472, 1259, 26969, 1369, 566, 582, 309, 3586, 478, 32485, 18, 8381, 470, 11558, 17245, 18, 478, 4348, 481, 322, 13985, 7964, 910, 510, 20137, 282, 34473, 11413, 289, 7781, 2385, 9581, 18, 1598, 25457, 5439, 360, 430, 3972, 5895, 336, 18, 4855, 1409, 7703, 478, 630, 13652, 44136, 289, 8668, 7492, 22559, 292, 470, 3665, 16, 374, 349, 472, 1259, 26969, 1369, 566, 761, 10211, 11757, 637, 1223, 1176, 6246, 440, 297, 1501, 541, 7994, 749, 6246, 2885, 1465, 18, 1397, 5327, 16979, 478, 33051, 877, 1476, 910, 9458, 392, 6379, 281, 1689, 2148, 17, 27050, 348, 36514, 16, 505, 9457, 1055, 17648, 324, 18, 824, 3761, 22200, 16, 1011, 15532, 492, 685, 37527, 282, 21613, 17, 306, 18930, 983, 18, 4149, 4167, 10608, 17, 7745, 6096, 4025, 947, 375, 18, 985, 6442, 478, 46088, 18, 8381, 470, 282, 14154, 16, 360, 10072, 10414, 492, 9473, 18, 365, 1613, 575, 10882, 282, 3507, 282, 13305, 7757, 764, 1176, 5554, 281, 681, 4041, 761, 18, 33652, 39181, 281, 1087, 547, 4309, 439, 24, 8081, 780, 730, 16, 38638, 334, 6438, 2818, 48845, 282, 5833, 11917, 29216, 16, 29603, 13493, 309, 16675, 547, 26822, 18, 11185, 420, 21844, 13631, 4848, 16, 374, 10383, 478, 324, 1646, 309, 2303, 2654, 1188, 16675, 536, 4193, 304, 282, 1500, 2083, 16, 785, 475, 4621, 16209, 16, 753, 22840, 16675, 291, 861, 18364, 5554, 11757, 637, 349, 39493, 36378, 1767, 48116, 49869, 39638, 1116, 18, 2263, 346, 33811, 282, 8436, 322, 639, 18, 365, 5854, 1207, 36378, 1767, 282, 3507, 478, 46088, 18, 8381, 470, 12002, 16, 374, 478, 1035, 15534, 16, 334, 3025, 19175, 16, 17290, 2734, 2915, 16675, 434, 15557, 861, 23656, 5054, 478, 440, 1608, 1121, 320, 368, 470, 19888, 326, 12460, 2822, 282, 14154, 18, 385, 22264, 315, 17, 37374, 1161, 3571, 3851, 492, 3164, 282, 23567, 1420, 331, 39339, 2893, 18, 4149, 4167, 4048, 3375, 10810, 10989, 919, 8898, 512, 16, 11750, 13097, 43344, 18, 817, 7118, 282, 1175, 1286, 986, 289, 4452, 18838, 620, 18, 985, 13737, 478, 46088, 18, 8381, 470, 478, 440, 564, 1121, 19611, 910, 294, 27412, 3326, 21338, 1749, 289, 5780, 16, 374, 492, 4193, 364, 6213, 282, 14672, 362, 6238, 2468, 18, 2046, 583, 10989, 919, 8898, 512, 322, 6048, 16, 428, 309, 7204, 13157, 6438, 718, 35859 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10047, 2764, 5433, 510, 24463, 1247, 6732, 18, 365, 2343, 3990, 4770, 3508, 13342, 24552, 11963, 8581, 5856, 43857, 282, 430, 16, 25, 4570, 18, 817, 14900, 18856, 290, 4277, 1826, 582, 1967, 43857, 282, 3734, 1045, 282, 9802, 816, 5096, 2791, 18, 491, 16, 23, 5096, 2791, 651, 481, 4770, 1133, 9917, 548, 16, 367, 1286, 3161, 3763, 2791, 5657, 341, 5791, 277, 37732, 309, 10867, 416, 5137, 18, 36881, 36691, 282, 5118, 281, 34915, 5439, 360, 3703, 4160, 4440, 779, 290, 12278, 8347, 43857, 18, 6592, 2856, 3479, 552, 16, 16146, 539, 10895, 48274, 2682, 510, 33733, 662, 16, 14729, 16334, 624, 289, 10623, 18, 999, 1272, 779, 10785, 4696, 2123, 43857, 411, 1335, 9044, 5684, 2764, 18, 6831, 1129, 16, 3057, 16, 478, 28517, 4717, 1175, 910, 1029, 26003, 5860, 16295, 282, 8156, 10301, 9620, 289, 13382, 282, 2510, 628, 8544, 933, 24268, 5868, 18, 23569, 10530, 82, 1597, 93, 12877, 4210, 43791, 4725, 282, 27561, 281, 478, 7128, 305, 323, 18, 8381, 910, 374, 33371, 10512, 5101, 401, 9466, 764, 14794, 35908, 16, 828, 38360, 5862, 1568, 381, 43857, 30, 478, 21393, 8206, 16, 374, 10933, 2891, 10297, 440, 4646, 4364, 17285, 309, 7620, 18868, 5054, 861, 824, 505, 3163, 16, 13022, 31358, 25499, 322, 2993, 48101, 10530, 82, 1597, 93, 12877, 16, 453, 428, 282, 31595, 381, 43857, 5130, 687, 290, 5781, 30542, 16, 367, 10530, 82, 1597, 93, 12877, 31058, 428, 48059, 34570, 3320, 18, 9668, 4202, 478, 3693, 3018, 1631, 470, 9867, 42438, 42932, 23751, 16, 374, 8348, 10512, 5101, 401, 22444, 7667, 5272, 301, 5681, 4307, 3570, 6173, 9620, 30, 478, 3001, 38370, 35154, 45982, 289, 26617, 722, 29469, 16, 23625, 722, 519, 23198, 347, 861, 2861, 17745, 742, 5692, 16, 374, 5922, 537, 349, 374, 322, 840, 23936, 6149, 428, 4454, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 472, 1259, 26969, 1369, 566, 382, 23246, 2901, 12084, 13317, 282, 13335, 1011, 31441, 13305, 18, 824, 7475, 22200, 16, 282, 5894, 281, 681, 4041, 761, 16, 282, 1754, 43396, 6043, 2016, 16, 17770, 887, 478, 33051, 9070, 11593, 10383, 42910, 17, 22, 2479, 6695, 349, 3937, 309, 1977, 280, 5159, 16, 289, 505, 5894, 38299, 857, 309, 1324, 2606, 16, 988, 678, 396, 23074, 3391, 1689, 2148, 17, 15421, 441, 454, 18, 31224, 30, 677, 3507, 4243, 22940, 13305, 281, 12070, 7994, 16, 3814, 291, 5540, 6246, 440, 297, 2858, 353, 18, 365, 7131, 5167, 45582, 35130, 1409, 17, 295, 7756, 281, 5635, 12231, 21908, 439, 10670, 22, 780, 730, 16492, 16, 1029, 11757, 637, 349, 36569, 39298, 334, 2921, 1876, 25970, 473, 730, 1259, 26969, 1369, 12217, 814, 13305, 4983, 764, 5475, 282, 10882, 309, 9057, 5745, 1161, 4625, 16, 988, 31056, 879, 35130, 26054, 281, 45552, 42910, 17, 22, 2479, 6695, 16, 6442, 478, 46088, 18, 8381, 470, 282, 22200, 4534, 18, 478, 3001, 473, 833, 574, 478, 33051, 877, 1476, 9979, 309, 3937, 309, 44250, 510, 309, 1977, 280, 5159, 16, 289, 5894, 7304, 648, 857, 309, 1324, 4368, 25969, 910, 510, 3828, 18290, 282, 3187, 1941, 22200, 18, 5890, 309, 1324, 4762, 16, 334, 7475, 2355, 265, 20128, 16, 11304, 4562, 478, 1515, 24442, 470, 396, 23074, 3391, 35130, 18, 12725, 334, 13874, 277, 289, 36054, 589, 330, 277, 16, 961, 4903, 873, 6547, 1011, 15532, 16, 329, 35130, 3525, 4951, 1004, 1188, 2636, 2301, 16, 714, 530, 25803, 3714, 33848, 18, 640, 9033, 1165, 5554, 21349, 637, 726, 749, 5635, 4568, 25574, 289, 6246, 440, 297, 2858, 18, 608, 478, 33051, 877, 1476, 470, 19082, 3081, 968, 30, 16736, 451, 39388, 3716, 3118, 25233, 282, 10165, 3724, 16, 744, 3974, 8087, 935, 31641, 7994, 18, 3688, 427, 282, 13305, 3619, 13347, 35130, 510, 9216, 472, 1259, 26969, 1369, 566, 382, 23246, 2901, 12084, 18, 3397, 678, 3164, 282, 3571, 7821, 30895, 23567, 8300, 9322, 16425, 2160, 46273, 3946, 11974, 2895, 405, 18, 415, 33770, 722, 28564, 289, 4349, 1055, 10480, 18, 24262, 10770, 451, 10383, 322, 21036, 18, 365, 472, 1259, 26969, 1369, 566, 582, 309, 3586, 478, 32485, 18, 8381, 470, 11558, 17245, 18, 478, 4348, 481, 322, 13985, 7964, 910, 510, 20137, 282, 34473, 11413, 289, 7781, 2385, 9581, 18, 1598, 25457, 5439, 360, 430, 3972, 5895, 336, 18, 4855, 1409, 7703, 478, 630, 13652, 44136, 289, 8668, 7492, 22559, 292, 470, 3665, 16, 374, 349, 472, 1259, 26969, 1369, 566, 761, 10211, 11757, 637, 1223, 1176, 6246, 440, 297, 1501, 541, 7994, 749, 6246, 2885, 1465, 18, 1397, 5327, 16979, 478, 33051, 877, 1476, 910, 9458, 392, 6379, 281, 1689, 2148, 17, 27050, 348, 36514, 16, 505, 9457, 1055, 17648, 324, 18, 824, 3761, 22200, 16, 1011, 15532, 492, 685, 37527, 282, 21613, 17, 306, 18930, 983, 18, 4149, 4167, 10608, 17, 7745, 6096, 4025, 947, 375, 18, 985, 6442, 478, 46088, 18, 8381, 470, 282, 14154, 16, 360, 10072, 10414, 492, 9473, 18, 365, 1613, 575, 10882, 282, 3507, 282, 13305, 7757, 764, 1176, 5554, 281, 681, 4041, 761, 18, 33652, 39181, 281, 1087, 547, 4309, 439, 24, 8081, 780, 730, 16, 38638, 334, 6438, 2818, 48845, 282, 5833, 11917, 29216, 16, 29603, 13493, 309, 16675, 547, 26822, 18, 11185, 420, 21844, 13631, 4848, 16, 374, 10383, 478, 324, 1646, 309, 2303, 2654, 1188, 16675, 536, 4193, 304, 282, 1500, 2083, 16, 785, 475, 4621, 16209, 16, 753, 22840, 16675, 291, 861, 18364, 5554, 11757, 637, 349, 39493, 36378, 1767, 48116, 49869, 39638, 1116, 18, 2263, 346, 33811, 282, 8436, 322, 639, 18, 365, 5854, 1207, 36378, 1767, 282, 3507, 478, 46088, 18, 8381, 470, 12002, 16, 374, 478, 1035, 15534, 16, 334, 3025, 19175, 16, 17290, 2734, 2915, 16675, 434, 15557, 861, 23656, 5054, 478, 440, 1608, 1121, 320, 368, 470, 19888, 326, 12460, 2822, 282, 14154, 18, 385, 22264, 315, 17, 37374, 1161, 3571, 3851, 492, 3164, 282, 23567, 1420, 331, 39339, 2893, 18, 4149, 4167, 4048, 3375, 10810, 10989, 919, 8898, 512, 16, 11750, 13097, 43344, 18, 817, 7118, 282, 1175, 1286, 986, 289, 4452, 18838, 620, 18, 985, 13737, 478, 46088, 18, 8381, 470, 478, 440, 564, 1121, 19611, 910, 294, 27412, 3326, 21338, 1749, 289, 5780, 16, 374, 492, 4193, 364, 6213, 282, 14672, 362, 6238, 2468, 18, 2046, 583, 10989, 919, 8898, 512, 322, 6048, 16, 428, 309, 7204, 13157, 6438, 718, 35859 ]
[ 942, 28788, 309, 6555, 2580, 322, 334, 478, 4141, 3491, 861, 2, 1, 87, 1456, 81, 2448, 30, 42699, 18351, 6070, 14336, 5101, 16, 282, 6104, 11258, 48253, 1510, 32542, 19311, 478, 730, 1569, 910, 2780, 3191, 4076, 541, 1728, 11815, 282, 478, 47963, 426, 17, 21, 861, 37969, 7356, 5267, 478, 25479, 451, 18351, 910, 1548, 374, 4366, 14336, 12827, 895, 2552, 44355, 18, 31224, 30, 42699, 18351, 6070, 14336, 5101, 1624, 2024, 282, 2159, 808, 12177, 32960, 478, 872, 3259, 16625, 282, 478, 47963, 426, 17, 21, 910, 282, 478, 3975, 3979, 1133, 25678, 470, 519, 4319, 1326, 322, 7757, 18, 3747, 282, 2343, 6705, 779, 1011, 9764, 13536, 282, 6571, 7756, 478, 730, 1569, 470, 3903, 16, 374, 11389, 281, 2059, 411, 3541, 16, 5358, 1587, 282, 8858, 973, 371, 5107, 16, 840, 29292, 289, 14336, 5101, 10006, 1463, 282, 3453, 30782, 44877, 1941, 7756, 294, 3429, 3326, 478, 872, 3259, 16625, 470, 44771, 306, 9969, 272, 18, 2046, 16, 4813, 309, 10744, 35278, 5841, 7336, 290, 1804, 464, 11738, 16, 6070, 322, 15732, 282, 478, 47963, 1528, 17, 21, 910, 25076, 15092, 14261, 282, 1180, 52, 22, 16, 374, 639, 34294, 299, 4313, 1757, 19931, 6035, 304, 18, 2387, 16, 322, 411, 17, 431, 35595, 4999, 7756, 16, 367, 411, 17, 431, 16967, 14006, 16, 961, 322, 20800, 46008, 31129, 1500, 575, 5040, 16, 374, 289, 282, 39209, 7756, 478, 730, 1569, 861, 43471, 356, 4167, 24242, 536, 16, 515, 32239, 309, 23769, 20800, 14336, 12827, 42897, 808, 1360, 3148, 464, 510, 18218, 1433, 282, 478, 47963, 1528, 17, 21, 861, 478, 1140, 703, 20975, 2702, 9910, 10574, 9518, 17, 13733, 16, 417, 13382, 282, 5329, 17618, 47583, 510, 1180, 52, 22, 36790, 16, 1180, 52, 22, 16, 39209, 7756, 478, 730, 1569, 910, 478, 47963, 426, 17, 563, 48769, 49122, 470, 289, 935, 18522, 478, 47963, 426, 17, 23, 861, 740, 16, 2091, 16, 481, 322, 502, 16, 1660, 656, 289, 5112, 417, 23653, 18, 2465, 3813, 5848, 46269, 9518, 282, 1180, 52, 22, 910, 510, 7332, 1694, 5841, 7336, 31345, 18, 3758, 18, 365, 11946, 282, 3507, 6070, 14336, 5101, 17379, 3781, 17, 15125, 1066, 16, 309, 1754, 10218, 290, 46144, 8296, 424, 7848, 478, 25479, 451, 18351, 910, 282, 4542, 1754, 1747, 27724, 3674, 541, 505, 21814, 282, 478, 3975, 3979, 1133, 25678, 861, 478, 17603, 329, 813, 21727, 8010, 12570, 282, 478, 47963, 426, 17, 21, 470, 282, 11258, 17, 11622, 16, 309, 481, 289, 23277, 2000, 1379, 4871, 16, 510, 2815, 5841, 4961, 18, 510, 17775, 12586, 324, 334, 13553, 344, 4076, 1003, 16, 515, 828, 6847, 16, 867, 1882, 18, 7254, 5917, 360, 1801, 282, 1875, 5706, 16, 1639, 281, 5690, 3780, 355, 1143, 322, 4362, 18, 1178, 322, 9040, 281, 478, 47963, 5499, 17, 21, 910, 502, 5087, 13079, 12520, 281, 1180, 52, 22, 16, 39209, 9776, 355, 289, 935, 6827, 93, 11352, 18, 740, 1314, 475, 3350, 290, 478, 47963, 426, 17, 21, 861, 608, 813, 912, 25724, 9700, 3336, 8662, 16, 912, 8369, 18, 4777, 31867, 16, 374, 21619, 21982, 6721, 282, 5200, 2463, 18, 1665, 367, 827, 24446, 7512, 11028, 322, 9553, 16, 502, 475, 2764, 34524, 309, 12056, 16, 281, 1639, 26656, 861, 365, 1750, 27842, 18890, 8296, 11875, 5544, 3989, 21247, 505, 24589, 3690, 1747, 35294, 309, 11336, 6484, 347, 567, 808, 2236, 411, 16130, 17, 960, 18, 2949, 924, 16, 764, 32750, 22308, 8296, 664, 31918, 847, 34003, 6149, 281, 5841, 15224, 670, 3604, 505, 22076, 539, 4863, 281, 45131, 304, 18, 3727, 3460, 37712, 7305, 5255, 282, 505, 45799, 895, 2552, 44355, 18, 640, 3614, 8296, 942, 2048, 4747, 281, 43935, 12056, 670, 4772, 17, 405, 12359, 343, 18, 5043, 16, 428, 2815, 583, 14336, 5101, 16, 15127, 8010, 8296, 510, 322, 22328, 40026, 4135, 411, 25467, 16, 367, 38963, 4612, 8334, 24589, 3690, 16, 961, 3005, 373, 17126, 26282, 16, 2733, 2175, 31070, 309, 3445, 668, 5778, 272, 18, 5043, 16, 10933, 2241, 7006, 520, 349, 40493, 802, 21178, 25289, 510, 11304, 2696, 4211, 16, 428, 289, 2651, 8362, 16, 23423, 322, 3670, 18, 3510, 289, 17711, 9969, 7757, 282, 478, 47963, 1528, 17, 21, 470, 1011, 27073, 9001, 9620, 290, 5941, 17126, 478, 872, 7380, 7975, 861, 459, 1055, 282, 478, 3975, 3979, 933, 5841, 1165, 470, 912, 47143, 16, 7006, 520, 7638, 17, 13522, 840, 2616, 17, 299, 48001, 19656, 319, 3336, 764, 2236, 18, 1665, 367, 749, 47957, 23383, 6085, 282, 1175, 322, 49786, 18, 889, 282, 11254, 21911, 42665, 15494, 22597, 341, 18048, 7307, 309, 24589, 350, 2127, 3961, 34733, 660, 439, 2221, 3008, 1624, 481, 21471, 15788, 473, 265, 322, 687, 13, 6271, 15349, 4682, 22735, 1034, 1000, 292, 665, 18, 608, 813, 575, 19585, 289, 16987, 4211, 8232, 47957, 8257, 16, 3229, 828, 13296, 2319, 17, 299, 24589, 350, 2127, 3961, 18, 478, 47963, 332, 17, 21, 470, 510, 3560, 8738, 865, 7928, 282, 2968, 16, 289, 541, 10785, 282, 1169, 1875, 4304, 20006, 29143, 19540, 9352, 2150, 18, 39209, 31333, 9350, 26780, 364, 6730, 16, 2957, 6016, 282, 25881, 11258, 3400, 941, 1321, 17, 280, 4790, 551, 291, 473, 5136, 5363, 16, 5358, 1587, 349, 1617, 4966, 4426, 3599, 17099, 24589, 3690, 34411, 2184, 3818, 1875, 4304, 814, 996, 9969, 272, 16, 3057, 16, 15715, 478, 1098, 11437, 910, 478, 17114, 843, 292, 268, 3063, 470, 1624, 478, 563, 1497, 671, 17, 35613, 16090, 470, 1624, 478, 1182, 3548, 1496, 910, 478, 730, 5565, 470, 289, 2393, 2241, 18, 385, 24049, 942, 2023, 16, 374, 289, 46008, 14336, 12827, 322, 9553, 39077, 282, 478, 47963, 1528, 17, 21, 470, 749, 3599, 19872, 8334, 6271, 18, 1278, 5681, 6981, 9242, 360, 25467, 24128, 12512, 322, 11028, 16, 367, 1548, 5702, 1472, 25952, 330, 16, 374, 21982, 478, 25479, 451, 18351, 470, 6244, 1349, 2904, 1110, 16, 309, 2616, 678, 47890, 18, 17935, 7036, 411, 2422, 478, 3975, 3979, 933, 922, 3134, 3305, 910, 367, 1038, 5510, 34411, 282, 12013, 2422, 289, 3541, 282, 36976, 4480, 2632, 942, 4897, 309, 7759, 478, 47963, 1018, 17, 21, 861, 2, 1, 87, 1456, 81, 2448, 30, 26404, 16, 31981, 289, 18211, 26198, 281, 11574, 1479, 24225, 1011, 5743, 8187, 434, 10687, 334, 8144, 18, 18281, 783, 334, 32381, 1195, 4154, 4869, 2145, 44033, 20840, 23127, 1642 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 942, 28788, 309, 6555, 2580, 322, 334, 478, 4141, 3491, 861, 2, 1, 87, 1456, 81, 2448, 30, 42699, 18351, 6070, 14336, 5101, 16, 282, 6104, 11258, 48253, 1510, 32542, 19311, 478, 730, 1569, 910, 2780, 3191, 4076, 541, 1728, 11815, 282, 478, 47963, 426, 17, 21, 861, 37969, 7356, 5267, 478, 25479, 451, 18351, 910, 1548, 374, 4366, 14336, 12827, 895, 2552, 44355, 18, 31224, 30, 42699, 18351, 6070, 14336, 5101, 1624, 2024, 282, 2159, 808, 12177, 32960, 478, 872, 3259, 16625, 282, 478, 47963, 426, 17, 21, 910, 282, 478, 3975, 3979, 1133, 25678, 470, 519, 4319, 1326, 322, 7757, 18, 3747, 282, 2343, 6705, 779, 1011, 9764, 13536, 282, 6571, 7756, 478, 730, 1569, 470, 3903, 16, 374, 11389, 281, 2059, 411, 3541, 16, 5358, 1587, 282, 8858, 973, 371, 5107, 16, 840, 29292, 289, 14336, 5101, 10006, 1463, 282, 3453, 30782, 44877, 1941, 7756, 294, 3429, 3326, 478, 872, 3259, 16625, 470, 44771, 306, 9969, 272, 18, 2046, 16, 4813, 309, 10744, 35278, 5841, 7336, 290, 1804, 464, 11738, 16, 6070, 322, 15732, 282, 478, 47963, 1528, 17, 21, 910, 25076, 15092, 14261, 282, 1180, 52, 22, 16, 374, 639, 34294, 299, 4313, 1757, 19931, 6035, 304, 18, 2387, 16, 322, 411, 17, 431, 35595, 4999, 7756, 16, 367, 411, 17, 431, 16967, 14006, 16, 961, 322, 20800, 46008, 31129, 1500, 575, 5040, 16, 374, 289, 282, 39209, 7756, 478, 730, 1569, 861, 43471, 356, 4167, 24242, 536, 16, 515, 32239, 309, 23769, 20800, 14336, 12827, 42897, 808, 1360, 3148, 464, 510, 18218, 1433, 282, 478, 47963, 1528, 17, 21, 861, 478, 1140, 703, 20975, 2702, 9910, 10574, 9518, 17, 13733, 16, 417, 13382, 282, 5329, 17618, 47583, 510, 1180, 52, 22, 36790, 16, 1180, 52, 22, 16, 39209, 7756, 478, 730, 1569, 910, 478, 47963, 426, 17, 563, 48769, 49122, 470, 289, 935, 18522, 478, 47963, 426, 17, 23, 861, 740, 16, 2091, 16, 481, 322, 502, 16, 1660, 656, 289, 5112, 417, 23653, 18, 2465, 3813, 5848, 46269, 9518, 282, 1180, 52, 22, 910, 510, 7332, 1694, 5841, 7336, 31345, 18, 3758, 18, 365, 11946, 282, 3507, 6070, 14336, 5101, 17379, 3781, 17, 15125, 1066, 16, 309, 1754, 10218, 290, 46144, 8296, 424, 7848, 478, 25479, 451, 18351, 910, 282, 4542, 1754, 1747, 27724, 3674, 541, 505, 21814, 282, 478, 3975, 3979, 1133, 25678, 861, 478, 17603, 329, 813, 21727, 8010, 12570, 282, 478, 47963, 426, 17, 21, 470, 282, 11258, 17, 11622, 16, 309, 481, 289, 23277, 2000, 1379, 4871, 16, 510, 2815, 5841, 4961, 18, 510, 17775, 12586, 324, 334, 13553, 344, 4076, 1003, 16, 515, 828, 6847, 16, 867, 1882, 18, 7254, 5917, 360, 1801, 282, 1875, 5706, 16, 1639, 281, 5690, 3780, 355, 1143, 322, 4362, 18, 1178, 322, 9040, 281, 478, 47963, 5499, 17, 21, 910, 502, 5087, 13079, 12520, 281, 1180, 52, 22, 16, 39209, 9776, 355, 289, 935, 6827, 93, 11352, 18, 740, 1314, 475, 3350, 290, 478, 47963, 426, 17, 21, 861, 608, 813, 912, 25724, 9700, 3336, 8662, 16, 912, 8369, 18, 4777, 31867, 16, 374, 21619, 21982, 6721, 282, 5200, 2463, 18, 1665, 367, 827, 24446, 7512, 11028, 322, 9553, 16, 502, 475, 2764, 34524, 309, 12056, 16, 281, 1639, 26656, 861, 365, 1750, 27842, 18890, 8296, 11875, 5544, 3989, 21247, 505, 24589, 3690, 1747, 35294, 309, 11336, 6484, 347, 567, 808, 2236, 411, 16130, 17, 960, 18, 2949, 924, 16, 764, 32750, 22308, 8296, 664, 31918, 847, 34003, 6149, 281, 5841, 15224, 670, 3604, 505, 22076, 539, 4863, 281, 45131, 304, 18, 3727, 3460, 37712, 7305, 5255, 282, 505, 45799, 895, 2552, 44355, 18, 640, 3614, 8296, 942, 2048, 4747, 281, 43935, 12056, 670, 4772, 17, 405, 12359, 343, 18, 5043, 16, 428, 2815, 583, 14336, 5101, 16, 15127, 8010, 8296, 510, 322, 22328, 40026, 4135, 411, 25467, 16, 367, 38963, 4612, 8334, 24589, 3690, 16, 961, 3005, 373, 17126, 26282, 16, 2733, 2175, 31070, 309, 3445, 668, 5778, 272, 18, 5043, 16, 10933, 2241, 7006, 520, 349, 40493, 802, 21178, 25289, 510, 11304, 2696, 4211, 16, 428, 289, 2651, 8362, 16, 23423, 322, 3670, 18, 3510, 289, 17711, 9969, 7757, 282, 478, 47963, 1528, 17, 21, 470, 1011, 27073, 9001, 9620, 290, 5941, 17126, 478, 872, 7380, 7975, 861, 459, 1055, 282, 478, 3975, 3979, 933, 5841, 1165, 470, 912, 47143, 16, 7006, 520, 7638, 17, 13522, 840, 2616, 17, 299, 48001, 19656, 319, 3336, 764, 2236, 18, 1665, 367, 749, 47957, 23383, 6085, 282, 1175, 322, 49786, 18, 889, 282, 11254, 21911, 42665, 15494, 22597, 341, 18048, 7307, 309, 24589, 350, 2127, 3961, 34733, 660, 439, 2221, 3008, 1624, 481, 21471, 15788, 473, 265, 322, 687, 13, 6271, 15349, 4682, 22735, 1034, 1000, 292, 665, 18, 608, 813, 575, 19585, 289, 16987, 4211, 8232, 47957, 8257, 16, 3229, 828, 13296, 2319, 17, 299, 24589, 350, 2127, 3961, 18, 478, 47963, 332, 17, 21, 470, 510, 3560, 8738, 865, 7928, 282, 2968, 16, 289, 541, 10785, 282, 1169, 1875, 4304, 20006, 29143, 19540, 9352, 2150, 18, 39209, 31333, 9350, 26780, 364, 6730, 16, 2957, 6016, 282, 25881, 11258, 3400, 941, 1321, 17, 280, 4790, 551, 291, 473, 5136, 5363, 16, 5358, 1587, 349, 1617, 4966, 4426, 3599, 17099, 24589, 3690, 34411, 2184, 3818, 1875, 4304, 814, 996, 9969, 272, 16, 3057, 16, 15715, 478, 1098, 11437, 910, 478, 17114, 843, 292, 268, 3063, 470, 1624, 478, 563, 1497, 671, 17, 35613, 16090, 470, 1624, 478, 1182, 3548, 1496, 910, 478, 730, 5565, 470, 289, 2393, 2241, 18, 385, 24049, 942, 2023, 16, 374, 289, 46008, 14336, 12827, 322, 9553, 39077, 282, 478, 47963, 1528, 17, 21, 470, 749, 3599, 19872, 8334, 6271, 18, 1278, 5681, 6981, 9242, 360, 25467, 24128, 12512, 322, 11028, 16, 367, 1548, 5702, 1472, 25952, 330, 16, 374, 21982, 478, 25479, 451, 18351, 470, 6244, 1349, 2904, 1110, 16, 309, 2616, 678, 47890, 18, 17935, 7036, 411, 2422, 478, 3975, 3979, 933, 922, 3134, 3305, 910, 367, 1038, 5510, 34411, 282, 12013, 2422, 289, 3541, 282, 36976, 4480, 2632, 942, 4897, 309, 7759, 478, 47963, 1018, 17, 21, 861, 2, 1, 87, 1456, 81, 2448, 30, 26404, 16, 31981, 289, 18211, 26198, 281, 11574, 1479, 24225, 1011, 5743, 8187, 434, 10687, 334, 8144, 18, 18281, 783, 334, 32381, 1195, 4154, 4869, 2145, 44033, 20840, 23127, 1642 ]
[ 5035, 35109, 34031, 290, 1702, 2557, 24420, 32940, 281, 9609, 18, 7200, 8099, 34575, 5696, 37554, 280, 1957, 25824, 478, 3497, 20560, 470, 1692, 5460, 7211, 1703, 19796, 835, 4139, 19058, 564, 16602, 334, 8144, 18, 31224, 30, 618, 1265, 7588, 783, 334, 32381, 1195, 4154, 4869, 2145, 45955, 8014, 455, 8187, 448, 15809, 334, 8144, 16, 7730, 1453, 43805, 16, 7211, 3334, 289, 4657, 3334, 29290, 282, 3765, 309, 2418, 4238, 428, 1078, 16101, 309, 8641, 1210, 7314, 1756, 30975, 766, 4548, 13450, 933, 43645, 6114, 282, 3580, 6209, 282, 1533, 4017, 360, 27357, 820, 16, 5923, 40568, 18, 478, 40838, 1020, 262, 7248, 4060, 16853, 21783, 290, 970, 16, 374, 4770, 2397, 2990, 7099, 7272, 9322, 9766, 16, 17111, 6836, 411, 1634, 37906, 16, 29387, 3586, 282, 1767, 29246, 22176, 289, 9466, 15089, 22695, 334, 5083, 3775, 4830, 25760, 1519, 9637, 3193, 282, 4599, 1888, 2044, 910, 510, 5130, 282, 23032, 18, 2949, 924, 16, 282, 25470, 16170, 16, 374, 14075, 6677, 23127, 1642, 5035, 35109, 28565, 367, 290, 38508, 2518, 763, 6053, 21429, 6841, 24420, 32940, 281, 9609, 16, 5923, 391, 26448, 18, 478, 6161, 4770, 28565, 15279, 10846, 9637, 3193, 282, 8144, 282, 1078, 309, 25096, 8225, 42647, 6617, 670, 282, 1078, 309, 3193, 1175, 16, 492, 1943, 8538, 282, 31279, 16, 753, 1300, 4475, 14698, 309, 8225, 8312, 3402, 910, 510, 4437, 5432, 282, 571, 277, 306, 4044, 18, 889, 322, 2615, 1479, 7376, 16908, 309, 17285, 19215, 24253, 334, 8144, 18, 996, 16, 35675, 16, 8851, 8624, 22212, 7920, 34493, 5855, 4623, 10648, 403, 5944, 8566, 15809, 8597, 758, 16, 3387, 309, 1129, 322, 639, 41655, 14698, 44922, 18, 478, 8706, 1979, 34031, 6622, 5447, 795, 394, 334, 8144, 749, 40520, 44922, 28647, 18, 1345, 2125, 16161, 10919, 4830, 277, 14952, 17, 296, 1822, 301, 309, 31048, 2793, 18, 4338, 481, 2901, 1183, 16, 515, 374, 2396, 341, 505, 360, 924, 16, 753, 282, 5421, 445, 5488, 11455, 22050, 670, 5451, 668, 2839, 29134, 5433, 510, 6463, 23024, 43287, 18, 8129, 368, 1155, 30478, 21957, 326, 1038, 28937, 905, 13279, 15465, 349, 24300, 4075, 381, 31277, 309, 38104, 282, 9124, 11919, 16, 32949, 16, 374, 478, 10767, 4770, 3957, 2793, 16, 502, 13205, 2152, 289, 31279, 2125, 953, 6906, 978, 4075, 861, 478, 8871, 399, 2798, 266, 282, 8144, 322, 2397, 8195, 9322, 4075, 18, 7115, 286, 9985, 7376, 3010, 16, 753, 15927, 6398, 9350, 272, 910, 510, 9848, 16, 282, 1423, 3678, 16, 35675, 12067, 9126, 440, 17, 39121, 18, 11333, 35136, 2145, 334, 24253, 1038, 26198, 281, 381, 2676, 2206, 18, 37540, 17690, 8448, 5355, 478, 33573, 2009, 10435, 470, 4084, 268, 2502, 10611, 25824, 8187, 668, 17285, 334, 8144, 478, 3045, 2683, 416, 29703, 861, 478, 4441, 5571, 30945, 16483, 16, 2686, 16, 678, 510, 1472, 2197, 411, 3025, 12459, 46496, 3928, 18, 385, 4440, 779, 656, 322, 2010, 8848, 2240, 11222, 289, 32474, 282, 1101, 1888, 2044, 910, 510, 27250, 23024, 18, 37540, 478, 2176, 321, 43195, 354, 470, 1038, 5777, 1154, 15183, 282, 2630, 281, 867, 16, 374, 15849, 16, 1586, 2756, 478, 324, 1088, 1525, 470, 541, 27357, 820, 349, 8641, 1210, 7927, 1756, 12761, 442, 878, 2305, 274, 16, 906, 24632, 519, 18890, 15140, 1209, 15515, 19716, 415, 1295, 21995, 18, 478, 38165, 4288, 6473, 16, 374, 25207, 14697, 898, 19196, 541, 15140, 16, 367, 3260, 282, 4356, 6684, 5348, 685, 19348, 349, 1119, 519, 697, 27555, 910, 510, 2323, 2502, 10611, 18, 817, 1038, 5777, 1154, 14472, 282, 970, 16, 374, 4770, 5670, 12198, 22875, 5888, 4048, 1368, 1943, 685, 8714, 281, 48805, 289, 31948, 1033, 13550, 5946, 22075, 294, 22647, 40126, 16, 5923, 727, 4742, 18, 478, 3743, 656, 978, 322, 6547, 18, 439, 2006, 35, 5257, 374, 16, 329, 703, 912, 2174, 5961, 16, 2552, 16708, 4770, 3957, 5848, 1423, 13839, 16966, 7812, 910, 510, 41274, 6406, 16708, 23024, 18, 7200, 8099, 34575, 289, 5037, 24175, 6047, 680, 9526, 4623, 5696, 37554, 280, 1957, 25824, 478, 3497, 20560, 470, 1692, 5460, 7211, 1703, 19796, 835, 4139, 19058, 564, 16602, 334, 8144, 18, 21898, 542, 25341, 13784, 334, 8144, 281, 4947, 4611, 3343, 12672, 3018, 18, 365, 4810, 16, 282, 21989, 15684, 7730, 468, 48940, 16602, 334, 13450, 1703, 43445, 478, 482, 2661, 541, 16409, 1489, 35680, 19349, 861, 478, 11162, 2232, 17959, 5439, 8471, 39372, 18, 365, 7814, 41934, 9085, 670, 5941, 583, 17745, 276, 510, 1272, 4903, 432, 41054, 32363, 541, 31665, 13784, 510, 48031, 2891, 852, 286, 2853, 309, 14151, 451, 9350, 18, 2046, 25019, 4976, 16, 428, 3219, 8608, 14151, 434, 12142, 510, 1619, 552, 4335, 986, 14561, 2793, 510, 12107, 37816, 13784, 910, 510, 18585, 37554, 280, 1957, 282, 43287, 18, 1253, 16926, 16, 374, 7638, 17, 2168, 6926, 32631, 457, 1107, 263, 25109, 282, 5421, 445, 3014, 2172, 2998, 281, 6296, 12230, 334, 5083, 5348, 282, 8144, 18, 2, 1, 87, 1456, 81, 2448, 30, 3693, 25780, 23271, 282, 28282, 7065, 45447, 1095, 11971, 6524, 4045, 13198, 8424, 334, 47342, 3477, 11293, 289, 11052, 313, 395, 2145, 473, 55, 23004, 13, 4843, 8564, 3763, 18, 4756, 7682, 6546, 49252, 289, 2107, 16987, 13205, 7065, 510, 20578, 3335, 715, 3618, 87, 18, 740, 7006, 520, 481, 6721, 48549, 282, 7823, 2764, 23271, 289, 8138, 18, 31224, 30, 33929, 778, 22996, 755, 35921, 45447, 1095, 11971, 282, 970, 16, 374, 1500, 38678, 360, 23271, 5024, 290, 9802, 14938, 21356, 282, 3198, 45336, 282, 1635, 1838, 2449, 2906, 19540, 9494, 8709, 651, 1611, 448, 360, 19454, 2466, 23429, 473, 343, 4591, 1183, 6257, 6799, 3543, 814, 48340, 427, 898, 5019, 2106, 15760, 428, 1279, 1223, 45447, 1095, 11971, 16, 453, 289, 1279, 1949, 505, 3609, 17, 23390, 2477, 16, 961, 16, 334, 5501, 954, 715, 23004, 16, 20146, 282, 40075, 2376, 1335, 3352, 18, 28462, 6548, 31333, 6187, 8709, 30241, 6315, 2274, 2895, 6524, 4045, 349, 16207, 3271, 26279, 4843, 10590, 2634, 16, 367, 8851, 5037, 6660, 334, 42604, 281, 41754, 2661, 16, 4373, 5037, 294, 18573, 17, 26600, 11365, 18935, 457, 364, 280, 600, 510, 4843, 5737, 2634, 18, 478, 677, 11171, 282, 15861, 28536, 16, 3835, 9037, 1635, 1838, 328, 1385, 23429, 16, 30519, 4110, 15811, 282, 43477, 4662, 16, 5825, 290, 1639, 322, 906, 13418, 798, 519, 23271, 18, 30228, 5698, 1232, 15861, 3352, 16454, 30, 827 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5035, 35109, 34031, 290, 1702, 2557, 24420, 32940, 281, 9609, 18, 7200, 8099, 34575, 5696, 37554, 280, 1957, 25824, 478, 3497, 20560, 470, 1692, 5460, 7211, 1703, 19796, 835, 4139, 19058, 564, 16602, 334, 8144, 18, 31224, 30, 618, 1265, 7588, 783, 334, 32381, 1195, 4154, 4869, 2145, 45955, 8014, 455, 8187, 448, 15809, 334, 8144, 16, 7730, 1453, 43805, 16, 7211, 3334, 289, 4657, 3334, 29290, 282, 3765, 309, 2418, 4238, 428, 1078, 16101, 309, 8641, 1210, 7314, 1756, 30975, 766, 4548, 13450, 933, 43645, 6114, 282, 3580, 6209, 282, 1533, 4017, 360, 27357, 820, 16, 5923, 40568, 18, 478, 40838, 1020, 262, 7248, 4060, 16853, 21783, 290, 970, 16, 374, 4770, 2397, 2990, 7099, 7272, 9322, 9766, 16, 17111, 6836, 411, 1634, 37906, 16, 29387, 3586, 282, 1767, 29246, 22176, 289, 9466, 15089, 22695, 334, 5083, 3775, 4830, 25760, 1519, 9637, 3193, 282, 4599, 1888, 2044, 910, 510, 5130, 282, 23032, 18, 2949, 924, 16, 282, 25470, 16170, 16, 374, 14075, 6677, 23127, 1642, 5035, 35109, 28565, 367, 290, 38508, 2518, 763, 6053, 21429, 6841, 24420, 32940, 281, 9609, 16, 5923, 391, 26448, 18, 478, 6161, 4770, 28565, 15279, 10846, 9637, 3193, 282, 8144, 282, 1078, 309, 25096, 8225, 42647, 6617, 670, 282, 1078, 309, 3193, 1175, 16, 492, 1943, 8538, 282, 31279, 16, 753, 1300, 4475, 14698, 309, 8225, 8312, 3402, 910, 510, 4437, 5432, 282, 571, 277, 306, 4044, 18, 889, 322, 2615, 1479, 7376, 16908, 309, 17285, 19215, 24253, 334, 8144, 18, 996, 16, 35675, 16, 8851, 8624, 22212, 7920, 34493, 5855, 4623, 10648, 403, 5944, 8566, 15809, 8597, 758, 16, 3387, 309, 1129, 322, 639, 41655, 14698, 44922, 18, 478, 8706, 1979, 34031, 6622, 5447, 795, 394, 334, 8144, 749, 40520, 44922, 28647, 18, 1345, 2125, 16161, 10919, 4830, 277, 14952, 17, 296, 1822, 301, 309, 31048, 2793, 18, 4338, 481, 2901, 1183, 16, 515, 374, 2396, 341, 505, 360, 924, 16, 753, 282, 5421, 445, 5488, 11455, 22050, 670, 5451, 668, 2839, 29134, 5433, 510, 6463, 23024, 43287, 18, 8129, 368, 1155, 30478, 21957, 326, 1038, 28937, 905, 13279, 15465, 349, 24300, 4075, 381, 31277, 309, 38104, 282, 9124, 11919, 16, 32949, 16, 374, 478, 10767, 4770, 3957, 2793, 16, 502, 13205, 2152, 289, 31279, 2125, 953, 6906, 978, 4075, 861, 478, 8871, 399, 2798, 266, 282, 8144, 322, 2397, 8195, 9322, 4075, 18, 7115, 286, 9985, 7376, 3010, 16, 753, 15927, 6398, 9350, 272, 910, 510, 9848, 16, 282, 1423, 3678, 16, 35675, 12067, 9126, 440, 17, 39121, 18, 11333, 35136, 2145, 334, 24253, 1038, 26198, 281, 381, 2676, 2206, 18, 37540, 17690, 8448, 5355, 478, 33573, 2009, 10435, 470, 4084, 268, 2502, 10611, 25824, 8187, 668, 17285, 334, 8144, 478, 3045, 2683, 416, 29703, 861, 478, 4441, 5571, 30945, 16483, 16, 2686, 16, 678, 510, 1472, 2197, 411, 3025, 12459, 46496, 3928, 18, 385, 4440, 779, 656, 322, 2010, 8848, 2240, 11222, 289, 32474, 282, 1101, 1888, 2044, 910, 510, 27250, 23024, 18, 37540, 478, 2176, 321, 43195, 354, 470, 1038, 5777, 1154, 15183, 282, 2630, 281, 867, 16, 374, 15849, 16, 1586, 2756, 478, 324, 1088, 1525, 470, 541, 27357, 820, 349, 8641, 1210, 7927, 1756, 12761, 442, 878, 2305, 274, 16, 906, 24632, 519, 18890, 15140, 1209, 15515, 19716, 415, 1295, 21995, 18, 478, 38165, 4288, 6473, 16, 374, 25207, 14697, 898, 19196, 541, 15140, 16, 367, 3260, 282, 4356, 6684, 5348, 685, 19348, 349, 1119, 519, 697, 27555, 910, 510, 2323, 2502, 10611, 18, 817, 1038, 5777, 1154, 14472, 282, 970, 16, 374, 4770, 5670, 12198, 22875, 5888, 4048, 1368, 1943, 685, 8714, 281, 48805, 289, 31948, 1033, 13550, 5946, 22075, 294, 22647, 40126, 16, 5923, 727, 4742, 18, 478, 3743, 656, 978, 322, 6547, 18, 439, 2006, 35, 5257, 374, 16, 329, 703, 912, 2174, 5961, 16, 2552, 16708, 4770, 3957, 5848, 1423, 13839, 16966, 7812, 910, 510, 41274, 6406, 16708, 23024, 18, 7200, 8099, 34575, 289, 5037, 24175, 6047, 680, 9526, 4623, 5696, 37554, 280, 1957, 25824, 478, 3497, 20560, 470, 1692, 5460, 7211, 1703, 19796, 835, 4139, 19058, 564, 16602, 334, 8144, 18, 21898, 542, 25341, 13784, 334, 8144, 281, 4947, 4611, 3343, 12672, 3018, 18, 365, 4810, 16, 282, 21989, 15684, 7730, 468, 48940, 16602, 334, 13450, 1703, 43445, 478, 482, 2661, 541, 16409, 1489, 35680, 19349, 861, 478, 11162, 2232, 17959, 5439, 8471, 39372, 18, 365, 7814, 41934, 9085, 670, 5941, 583, 17745, 276, 510, 1272, 4903, 432, 41054, 32363, 541, 31665, 13784, 510, 48031, 2891, 852, 286, 2853, 309, 14151, 451, 9350, 18, 2046, 25019, 4976, 16, 428, 3219, 8608, 14151, 434, 12142, 510, 1619, 552, 4335, 986, 14561, 2793, 510, 12107, 37816, 13784, 910, 510, 18585, 37554, 280, 1957, 282, 43287, 18, 1253, 16926, 16, 374, 7638, 17, 2168, 6926, 32631, 457, 1107, 263, 25109, 282, 5421, 445, 3014, 2172, 2998, 281, 6296, 12230, 334, 5083, 5348, 282, 8144, 18, 2, 1, 87, 1456, 81, 2448, 30, 3693, 25780, 23271, 282, 28282, 7065, 45447, 1095, 11971, 6524, 4045, 13198, 8424, 334, 47342, 3477, 11293, 289, 11052, 313, 395, 2145, 473, 55, 23004, 13, 4843, 8564, 3763, 18, 4756, 7682, 6546, 49252, 289, 2107, 16987, 13205, 7065, 510, 20578, 3335, 715, 3618, 87, 18, 740, 7006, 520, 481, 6721, 48549, 282, 7823, 2764, 23271, 289, 8138, 18, 31224, 30, 33929, 778, 22996, 755, 35921, 45447, 1095, 11971, 282, 970, 16, 374, 1500, 38678, 360, 23271, 5024, 290, 9802, 14938, 21356, 282, 3198, 45336, 282, 1635, 1838, 2449, 2906, 19540, 9494, 8709, 651, 1611, 448, 360, 19454, 2466, 23429, 473, 343, 4591, 1183, 6257, 6799, 3543, 814, 48340, 427, 898, 5019, 2106, 15760, 428, 1279, 1223, 45447, 1095, 11971, 16, 453, 289, 1279, 1949, 505, 3609, 17, 23390, 2477, 16, 961, 16, 334, 5501, 954, 715, 23004, 16, 20146, 282, 40075, 2376, 1335, 3352, 18, 28462, 6548, 31333, 6187, 8709, 30241, 6315, 2274, 2895, 6524, 4045, 349, 16207, 3271, 26279, 4843, 10590, 2634, 16, 367, 8851, 5037, 6660, 334, 42604, 281, 41754, 2661, 16, 4373, 5037, 294, 18573, 17, 26600, 11365, 18935, 457, 364, 280, 600, 510, 4843, 5737, 2634, 18, 478, 677, 11171, 282, 15861, 28536, 16, 3835, 9037, 1635, 1838, 328, 1385, 23429, 16, 30519, 4110, 15811, 282, 43477, 4662, 16, 5825, 290, 1639, 322, 906, 13418, 798, 519, 23271, 18, 30228, 5698, 1232, 15861, 3352, 16454, 30, 827 ]
[ 387, 3143, 781, 3003, 25105, 1086, 5024, 510, 11823, 1653, 16, 322, 18127, 18387, 474, 10763, 7784, 910, 510, 2815, 5854, 715, 23004, 14249, 4025, 7899, 18, 985, 13462, 282, 9907, 22996, 1347, 16, 45447, 1095, 11971, 19199, 1909, 289, 1634, 8138, 282, 2849, 281, 3915, 4189, 334, 31671, 3597, 5653, 779, 18, 365, 20526, 26999, 7065, 3153, 16, 374, 4162, 505, 22240, 16, 11940, 281, 289, 5570, 508, 323, 16, 322, 17045, 4843, 4234, 5096, 18, 2046, 309, 2456, 2463, 6841, 395, 11060, 887, 31294, 309, 7512, 1033, 4843, 3324, 5096, 18, 7075, 779, 2158, 1717, 29908, 19454, 1941, 2926, 2145, 1559, 12793, 3281, 43077, 20454, 12142, 18, 967, 803, 282, 4301, 8434, 13573, 14412, 7341, 1437, 2553, 282, 2849, 12142, 16775, 2891, 898, 14322, 17665, 45447, 1095, 11971, 4843, 6427, 5096, 18, 740, 309, 803, 19435, 22807, 294, 45447, 1095, 11971, 1698, 322, 48029, 18, 4320, 537, 7065, 16, 537, 505, 3609, 17, 23390, 1952, 16, 428, 481, 3757, 5106, 282, 8689, 6160, 16, 1360, 18051, 322, 25262, 16, 515, 16, 3754, 16, 289, 322, 6815, 467, 722, 18, 824, 1629, 6710, 48240, 16303, 1624, 3888, 10621, 14922, 11418, 8709, 289, 715, 23004, 12107, 10287, 536, 9235, 4287, 3604, 23371, 360, 45447, 1095, 11971, 18, 478, 1295, 525, 25062, 715, 23004, 24344, 2874, 9360, 28907, 16, 289, 656, 14156, 3836, 473, 275, 24617, 43025, 292, 13, 6549, 16, 309, 961, 678, 19781, 484, 910, 510, 2815, 1176, 411, 38923, 3463, 23271, 25856, 385, 2976, 320, 18, 41651, 16, 374, 5512, 3780, 2608, 4419, 45440, 12735, 281, 715, 23004, 14900, 2107, 16987, 13205, 7065, 510, 20578, 3335, 715, 3618, 87, 18, 1787, 31494, 14267, 22996, 1347, 1078, 2572, 7214, 36089, 4843, 25, 3324, 3763, 18, 13991, 306, 2900, 11418, 44314, 583, 20578, 3335, 715, 3618, 87, 16, 1029, 2963, 428, 942, 6847, 11033, 360, 12898, 4568, 21356, 18, 6592, 3761, 22996, 1347, 16, 20578, 3335, 715, 3618, 87, 6495, 271, 2200, 20038, 4939, 668, 670, 14672, 668, 4371, 381, 10634, 22662, 51, 473, 348, 49122, 553, 16, 2341, 7050, 4103, 4697, 15442, 353, 934, 961, 282, 6031, 898, 34642, 318, 294, 28356, 7715, 6257, 6799, 3543, 473, 293, 642, 21189, 19959, 814, 3863, 7065, 23870, 2200, 20038, 5529, 5024, 17868, 16, 1655, 428, 583, 2245, 937, 697, 18, 365, 3198, 21722, 16157, 1033, 4843, 21, 5096, 18, 33825, 1262, 10195, 43907, 657, 46758, 3221, 3457, 20578, 3335, 715, 3618, 87, 281, 478, 607, 8075, 1703, 497, 344, 496, 17, 15169, 589, 620, 16, 23311, 14354, 282, 2641, 11999, 861, 740, 45940, 20578, 3335, 586, 5499, 280, 38189, 399, 5944, 27834, 16, 374, 5998, 5251, 48693, 510, 478, 296, 362, 1919, 1743, 861, 21513, 371, 47879, 1101, 282, 12797, 464, 24046, 332, 17040, 820, 6814, 8709, 16, 282, 1754, 2341, 7050, 6257, 6799, 3543, 8379, 2202, 2919, 47626, 10902, 2661, 478, 868, 278, 277, 4697, 470, 289, 478, 296, 648, 4697, 861, 3557, 322, 2619, 16, 334, 3163, 6677, 20578, 3335, 715, 3618, 87, 16, 7065, 322, 757, 3751, 16, 374, 15583, 281, 28343, 2658, 635, 12712, 30, 34022, 47886, 5613, 16478, 475, 13588, 6838, 382, 16, 1055, 322, 4291, 905, 9350, 18, 740, 42588, 16, 10954, 1453, 715, 23004, 16, 48549, 23271, 289, 8138, 360, 48177, 432, 10902, 483, 322, 8070, 18, 478, 5786, 2592, 548, 19196, 309, 502, 16, 753, 43944, 5422, 1519, 10902, 8197, 48177, 668, 13354, 334, 8823, 294, 41754, 2381, 18, 740, 281, 9752, 13334, 432, 2149, 277, 8866, 840, 21994, 536, 30, 309, 48177, 432, 16126, 292, 10902, 7737, 17338, 4703, 1143, 910, 510, 2548, 9128, 12130, 22029, 346, 15352, 38872, 478, 21751, 1452, 273, 470, 9409, 4377, 12434, 18, 824, 3163, 34361, 16, 10049, 5064, 38785, 11418, 1251, 43991, 289, 715, 23004, 322, 31720, 10784, 44002, 8138, 510, 481, 8195, 14560, 2403, 10984, 16, 18763, 451, 18091, 2869, 3577, 3141, 554, 2340, 306, 289, 50153, 1736, 668, 42154, 18, 5697, 6009, 5471, 10562, 6730, 281, 5816, 979, 282, 28282, 23271, 289, 7938, 21012, 43935, 15397, 16, 1586, 309, 13519, 11056, 906, 9565, 324, 12984, 2145, 17917, 635, 1367, 395, 323, 18, 30530, 17773, 282, 11176, 763, 6802, 282, 38529, 14938, 12517, 18, 5161, 16, 5251, 635, 5581, 277, 16, 961, 42721, 25735, 5782, 4186, 16, 2955, 840, 8219, 5559, 282, 744, 312, 342, 6773, 289, 2393, 31371, 17868, 18, 1787, 8390, 1195, 7685, 499, 957, 685, 6065, 16851, 4831, 16, 18675, 1545, 935, 39614, 47798, 6343, 10902, 18, 2949, 924, 16, 30149, 9528, 5693, 334, 16414, 2509, 10015, 277, 30, 1441, 4101, 2125, 19160, 319, 1617, 10874, 1033, 1078, 1769, 18, 478, 3743, 9267, 360, 17773, 29480, 15363, 13446, 322, 2353, 30, 639, 11742, 1269, 25583, 368, 16, 961, 16409, 4375, 26485, 7997, 1545, 5667, 18, 403, 2222, 575, 25061, 2914, 1231, 484, 309, 1269, 986, 910, 510, 2548, 4377, 12434, 18, 824, 4734, 34361, 16, 2003, 4307, 390, 3953, 9654, 6053, 6802, 16, 20612, 1033, 11335, 19238, 3352, 16, 374, 6721, 41754, 2381, 1882, 8670, 26659, 18, 478, 3743, 6802, 1162, 4461, 16, 428, 3665, 16, 33150, 798, 309, 26987, 1357, 9811, 16, 2391, 26541, 25780, 282, 28282, 3118, 322, 9553, 910, 510, 2548, 4377, 12434, 18, 1540, 546, 462, 2381, 5702, 9771, 23585, 968, 29856, 294, 18980, 16447, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 15392, 4783, 1867, 11440, 309, 11334, 11630, 16934, 360, 478, 44280, 1406, 1175, 470, 21605, 7492, 18, 46899, 11285, 44656, 38624, 4211, 309, 14785, 622, 294, 26356, 1703, 6404, 1459, 2381, 18, 23613, 21605, 523, 3893, 16, 374, 10299, 22056, 6959, 5317, 43424, 3300, 510, 11187, 505, 16161, 8156, 19427, 3920, 281, 37119, 416, 18, 31224, 30, 2997, 15194, 289, 41997, 20691, 360, 478, 44280, 1406, 1175, 470, 17575, 4879, 21605, 3340, 16, 15613, 29314, 282, 10882, 282, 7522, 16, 282, 18248, 6437, 49330, 615, 22581, 8811, 18747, 1624, 1097, 49058, 16, 334, 697, 3163, 16, 334, 41103, 33515, 7920, 18, 1367, 803, 478, 46088, 18, 8381, 470, 4848, 583, 23613, 21605, 523, 18, 16842, 6625, 21605, 3340, 8909, 15613, 555, 281, 2799, 635, 309, 24870, 294, 43628, 16088, 16, 50066, 21605, 19137, 1624, 1038, 4407, 552, 16934, 18, 640, 986, 547, 4577, 1833, 334, 20228, 411, 10601, 294, 1420, 16581, 18132, 6814, 18747, 289, 16670, 32855, 282, 46899, 11285, 541, 29424, 33014, 16, 2686, 3708, 18889, 18, 21605, 523, 16, 1276 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 387, 3143, 781, 3003, 25105, 1086, 5024, 510, 11823, 1653, 16, 322, 18127, 18387, 474, 10763, 7784, 910, 510, 2815, 5854, 715, 23004, 14249, 4025, 7899, 18, 985, 13462, 282, 9907, 22996, 1347, 16, 45447, 1095, 11971, 19199, 1909, 289, 1634, 8138, 282, 2849, 281, 3915, 4189, 334, 31671, 3597, 5653, 779, 18, 365, 20526, 26999, 7065, 3153, 16, 374, 4162, 505, 22240, 16, 11940, 281, 289, 5570, 508, 323, 16, 322, 17045, 4843, 4234, 5096, 18, 2046, 309, 2456, 2463, 6841, 395, 11060, 887, 31294, 309, 7512, 1033, 4843, 3324, 5096, 18, 7075, 779, 2158, 1717, 29908, 19454, 1941, 2926, 2145, 1559, 12793, 3281, 43077, 20454, 12142, 18, 967, 803, 282, 4301, 8434, 13573, 14412, 7341, 1437, 2553, 282, 2849, 12142, 16775, 2891, 898, 14322, 17665, 45447, 1095, 11971, 4843, 6427, 5096, 18, 740, 309, 803, 19435, 22807, 294, 45447, 1095, 11971, 1698, 322, 48029, 18, 4320, 537, 7065, 16, 537, 505, 3609, 17, 23390, 1952, 16, 428, 481, 3757, 5106, 282, 8689, 6160, 16, 1360, 18051, 322, 25262, 16, 515, 16, 3754, 16, 289, 322, 6815, 467, 722, 18, 824, 1629, 6710, 48240, 16303, 1624, 3888, 10621, 14922, 11418, 8709, 289, 715, 23004, 12107, 10287, 536, 9235, 4287, 3604, 23371, 360, 45447, 1095, 11971, 18, 478, 1295, 525, 25062, 715, 23004, 24344, 2874, 9360, 28907, 16, 289, 656, 14156, 3836, 473, 275, 24617, 43025, 292, 13, 6549, 16, 309, 961, 678, 19781, 484, 910, 510, 2815, 1176, 411, 38923, 3463, 23271, 25856, 385, 2976, 320, 18, 41651, 16, 374, 5512, 3780, 2608, 4419, 45440, 12735, 281, 715, 23004, 14900, 2107, 16987, 13205, 7065, 510, 20578, 3335, 715, 3618, 87, 18, 1787, 31494, 14267, 22996, 1347, 1078, 2572, 7214, 36089, 4843, 25, 3324, 3763, 18, 13991, 306, 2900, 11418, 44314, 583, 20578, 3335, 715, 3618, 87, 16, 1029, 2963, 428, 942, 6847, 11033, 360, 12898, 4568, 21356, 18, 6592, 3761, 22996, 1347, 16, 20578, 3335, 715, 3618, 87, 6495, 271, 2200, 20038, 4939, 668, 670, 14672, 668, 4371, 381, 10634, 22662, 51, 473, 348, 49122, 553, 16, 2341, 7050, 4103, 4697, 15442, 353, 934, 961, 282, 6031, 898, 34642, 318, 294, 28356, 7715, 6257, 6799, 3543, 473, 293, 642, 21189, 19959, 814, 3863, 7065, 23870, 2200, 20038, 5529, 5024, 17868, 16, 1655, 428, 583, 2245, 937, 697, 18, 365, 3198, 21722, 16157, 1033, 4843, 21, 5096, 18, 33825, 1262, 10195, 43907, 657, 46758, 3221, 3457, 20578, 3335, 715, 3618, 87, 281, 478, 607, 8075, 1703, 497, 344, 496, 17, 15169, 589, 620, 16, 23311, 14354, 282, 2641, 11999, 861, 740, 45940, 20578, 3335, 586, 5499, 280, 38189, 399, 5944, 27834, 16, 374, 5998, 5251, 48693, 510, 478, 296, 362, 1919, 1743, 861, 21513, 371, 47879, 1101, 282, 12797, 464, 24046, 332, 17040, 820, 6814, 8709, 16, 282, 1754, 2341, 7050, 6257, 6799, 3543, 8379, 2202, 2919, 47626, 10902, 2661, 478, 868, 278, 277, 4697, 470, 289, 478, 296, 648, 4697, 861, 3557, 322, 2619, 16, 334, 3163, 6677, 20578, 3335, 715, 3618, 87, 16, 7065, 322, 757, 3751, 16, 374, 15583, 281, 28343, 2658, 635, 12712, 30, 34022, 47886, 5613, 16478, 475, 13588, 6838, 382, 16, 1055, 322, 4291, 905, 9350, 18, 740, 42588, 16, 10954, 1453, 715, 23004, 16, 48549, 23271, 289, 8138, 360, 48177, 432, 10902, 483, 322, 8070, 18, 478, 5786, 2592, 548, 19196, 309, 502, 16, 753, 43944, 5422, 1519, 10902, 8197, 48177, 668, 13354, 334, 8823, 294, 41754, 2381, 18, 740, 281, 9752, 13334, 432, 2149, 277, 8866, 840, 21994, 536, 30, 309, 48177, 432, 16126, 292, 10902, 7737, 17338, 4703, 1143, 910, 510, 2548, 9128, 12130, 22029, 346, 15352, 38872, 478, 21751, 1452, 273, 470, 9409, 4377, 12434, 18, 824, 3163, 34361, 16, 10049, 5064, 38785, 11418, 1251, 43991, 289, 715, 23004, 322, 31720, 10784, 44002, 8138, 510, 481, 8195, 14560, 2403, 10984, 16, 18763, 451, 18091, 2869, 3577, 3141, 554, 2340, 306, 289, 50153, 1736, 668, 42154, 18, 5697, 6009, 5471, 10562, 6730, 281, 5816, 979, 282, 28282, 23271, 289, 7938, 21012, 43935, 15397, 16, 1586, 309, 13519, 11056, 906, 9565, 324, 12984, 2145, 17917, 635, 1367, 395, 323, 18, 30530, 17773, 282, 11176, 763, 6802, 282, 38529, 14938, 12517, 18, 5161, 16, 5251, 635, 5581, 277, 16, 961, 42721, 25735, 5782, 4186, 16, 2955, 840, 8219, 5559, 282, 744, 312, 342, 6773, 289, 2393, 31371, 17868, 18, 1787, 8390, 1195, 7685, 499, 957, 685, 6065, 16851, 4831, 16, 18675, 1545, 935, 39614, 47798, 6343, 10902, 18, 2949, 924, 16, 30149, 9528, 5693, 334, 16414, 2509, 10015, 277, 30, 1441, 4101, 2125, 19160, 319, 1617, 10874, 1033, 1078, 1769, 18, 478, 3743, 9267, 360, 17773, 29480, 15363, 13446, 322, 2353, 30, 639, 11742, 1269, 25583, 368, 16, 961, 16409, 4375, 26485, 7997, 1545, 5667, 18, 403, 2222, 575, 25061, 2914, 1231, 484, 309, 1269, 986, 910, 510, 2548, 4377, 12434, 18, 824, 4734, 34361, 16, 2003, 4307, 390, 3953, 9654, 6053, 6802, 16, 20612, 1033, 11335, 19238, 3352, 16, 374, 6721, 41754, 2381, 1882, 8670, 26659, 18, 478, 3743, 6802, 1162, 4461, 16, 428, 3665, 16, 33150, 798, 309, 26987, 1357, 9811, 16, 2391, 26541, 25780, 282, 28282, 3118, 322, 9553, 910, 510, 2548, 4377, 12434, 18, 1540, 546, 462, 2381, 5702, 9771, 23585, 968, 29856, 294, 18980, 16447, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 15392, 4783, 1867, 11440, 309, 11334, 11630, 16934, 360, 478, 44280, 1406, 1175, 470, 21605, 7492, 18, 46899, 11285, 44656, 38624, 4211, 309, 14785, 622, 294, 26356, 1703, 6404, 1459, 2381, 18, 23613, 21605, 523, 3893, 16, 374, 10299, 22056, 6959, 5317, 43424, 3300, 510, 11187, 505, 16161, 8156, 19427, 3920, 281, 37119, 416, 18, 31224, 30, 2997, 15194, 289, 41997, 20691, 360, 478, 44280, 1406, 1175, 470, 17575, 4879, 21605, 3340, 16, 15613, 29314, 282, 10882, 282, 7522, 16, 282, 18248, 6437, 49330, 615, 22581, 8811, 18747, 1624, 1097, 49058, 16, 334, 697, 3163, 16, 334, 41103, 33515, 7920, 18, 1367, 803, 478, 46088, 18, 8381, 470, 4848, 583, 23613, 21605, 523, 18, 16842, 6625, 21605, 3340, 8909, 15613, 555, 281, 2799, 635, 309, 24870, 294, 43628, 16088, 16, 50066, 21605, 19137, 1624, 1038, 4407, 552, 16934, 18, 640, 986, 547, 4577, 1833, 334, 20228, 411, 10601, 294, 1420, 16581, 18132, 6814, 18747, 289, 16670, 32855, 282, 46899, 11285, 541, 29424, 33014, 16, 2686, 3708, 18889, 18, 21605, 523, 16, 1276 ]
[ 16786, 282, 481, 808, 282, 4802, 7292, 40745, 16, 2319, 16083, 20713, 16, 753, 16122, 24724, 20711, 37682, 19157, 505, 5169, 16, 16328, 5792, 2159, 2743, 968, 11784, 1700, 16, 48431, 3193, 6814, 18747, 2864, 1082, 37728, 18, 46899, 11285, 9847, 15135, 16, 374, 290, 49102, 8180, 322, 3419, 16, 8811, 18747, 1472, 7153, 4030, 20957, 454, 290, 9158, 263, 294, 18629, 7768, 18, 478, 677, 22485, 4357, 9347, 481, 10570, 1525, 16, 2091, 16, 322, 1623, 18, 28066, 16, 785, 9286, 281, 13472, 309, 986, 547, 4577, 4765, 467, 2846, 44333, 8182, 1631, 16, 2062, 4687, 30, 478, 672, 932, 2445, 464, 282, 5894, 910, 510, 481, 26288, 541, 1512, 16, 322, 20464, 1587, 20957, 382, 360, 32878, 18, 11966, 16, 745, 2141, 1139, 4366, 7187, 510, 49247, 5894, 5412, 2251, 910, 510, 27607, 1151, 17684, 26058, 21605, 523, 18, 21818, 748, 274, 29179, 3255, 20957, 382, 5684, 9502, 17575, 4879, 21605, 3340, 11658, 289, 505, 21701, 5104, 4137, 18, 824, 3163, 20691, 16, 492, 43611, 477, 4802, 3991, 11285, 304, 764, 282, 9937, 16, 9665, 16, 753, 8055, 309, 3586, 16, 1830, 16, 428, 3203, 16934, 16, 19256, 31551, 15551, 289, 519, 722, 31494, 309, 27108, 953, 14380, 322, 895, 18, 478, 1358, 3508, 334, 26292, 12885, 34624, 282, 46899, 11285, 16, 753, 1974, 477, 18629, 5772, 16122, 24724, 16, 785, 289, 1085, 411, 7032, 3212, 5169, 5304, 10529, 541, 16750, 18, 38422, 15844, 322, 687, 4272, 16, 5590, 289, 9502, 16, 515, 935, 24671, 8880, 20646, 289, 697, 19418, 18, 999, 813, 31484, 8249, 910, 510, 4725, 21605, 523, 18, 46899, 11285, 322, 45670, 16, 282, 4301, 5608, 14132, 1101, 11371, 27663, 18, 11626, 5189, 22485, 1901, 5348, 895, 31805, 567, 808, 5072, 1697, 2209, 10438, 16, 785, 28869, 1247, 290, 43279, 14132, 1101, 18, 985, 3828, 23613, 21605, 523, 478, 46088, 18, 8381, 910, 4498, 3419, 290, 34925, 10744, 18473, 24425, 459, 2880, 435, 36358, 15507, 290, 8641, 1097, 22027, 282, 1335, 4008, 15830, 47170, 24642, 18, 21605, 523, 322, 4424, 24857, 484, 309, 3193, 39877, 334, 8823, 294, 505, 36426, 18, 4756, 17786, 35439, 7801, 282, 15204, 8555, 432, 28164, 473, 1659, 630, 672, 934, 46462, 6598, 20691, 18, 365, 4810, 16, 3187, 2234, 1530, 273, 8231, 38946, 1263, 282, 26311, 451, 1551, 381, 41868, 8292, 22773, 2236, 411, 46462, 6598, 21605, 3340, 688, 630, 672, 478, 672, 363, 2042, 861, 365, 11366, 289, 12938, 13143, 41868, 6406, 9959, 309, 27315, 289, 8225, 6617, 688, 630, 672, 478, 672, 363, 2042, 470, 289, 478, 618, 274, 3646, 17, 9284, 861, 48011, 12177, 481, 1743, 26701, 289, 29074, 1166, 505, 281, 8448, 4669, 17036, 18, 23302, 688, 630, 26595, 21605, 7492, 4222, 9529, 11583, 24268, 607, 17344, 7426, 4776, 18, 365, 2343, 4209, 23613, 21605, 523, 3828, 16, 374, 424, 23057, 8231, 11189, 13739, 38624, 8555, 451, 4211, 22128, 2241, 411, 14683, 18, 10470, 5202, 523, 481, 322, 2396, 857, 16, 289, 282, 3998, 4189, 3781, 17, 9952, 8231, 9321, 16, 374, 282, 6233, 2492, 2609, 1867, 2678, 3232, 9201, 434, 9794, 4047, 1251, 37865, 8555, 536, 42431, 478, 618, 274, 3646, 17, 9284, 470, 289, 2059, 411, 27314, 412, 21681, 16695, 371, 25873, 25102, 309, 34578, 8555, 432, 5117, 18, 824, 4734, 8231, 16, 281, 9752, 14490, 432, 4974, 13115, 10317, 27721, 16, 374, 9770, 688, 630, 672, 478, 618, 274, 3646, 17, 9284, 470, 5897, 857, 37390, 309, 24439, 1967, 7868, 16, 33394, 9259, 16, 374, 322, 282, 4349, 9193, 7581, 5117, 16, 27767, 47406, 13979, 16, 18060, 14236, 282, 23991, 5754, 27795, 7919, 9657, 16, 18392, 27172, 10579, 26175, 38261, 18, 478, 30674, 924, 16, 8664, 637, 5809, 6226, 904, 2409, 5754, 39840, 434, 20709, 290, 12864, 763, 17139, 18, 365, 1335, 2630, 6771, 30627, 282, 11552, 8231, 1175, 334, 3507, 541, 20594, 6356, 290, 43279, 14132, 1101, 910, 510, 1629, 576, 1655, 8231, 18, 23613, 21605, 523, 583, 14106, 808, 5931, 282, 6246, 9952, 292, 289, 2397, 14015, 19128, 18747, 35409, 18, 824, 3163, 20691, 16, 492, 8271, 2077, 13662, 12763, 6730, 477, 3319, 11350, 17, 10202, 426, 4455, 411, 33263, 36193, 18, 478, 50206, 530, 16, 374, 9375, 417, 43611, 281, 4586, 12317, 4496, 281, 37119, 416, 16, 374, 2504, 373, 4345, 703, 322, 22855, 300, 16, 367, 1441, 417, 2797, 394, 40436, 289, 3478, 11558, 16, 510, 4848, 11309, 18, 510, 9993, 12732, 16, 2091, 30, 27663, 11371, 282, 4301, 1101, 16, 7301, 2198, 334, 40025, 478, 277, 12169, 546, 470, 510, 13793, 1694, 1003, 510, 360, 18473, 24425, 459, 2880, 435, 36358, 15507, 16, 10901, 2198, 26356, 1703, 18900, 309, 1912, 986, 18, 18724, 556, 492, 381, 2885, 271, 3441, 411, 5240, 6271, 289, 3619, 360, 40432, 334, 38221, 395, 18, 459, 1177, 10901, 1545, 8874, 282, 4772, 16, 5301, 5270, 9442, 12522, 16, 367, 13391, 15123, 481, 428, 21389, 317, 16, 753, 23311, 506, 567, 2651, 5207, 11334, 18, 985, 2521, 417, 9953, 26542, 286, 1851, 17, 299, 861, 365, 12938, 4018, 779, 17642, 24425, 36358, 712, 3828, 282, 46899, 11285, 1248, 4772, 17, 915, 597, 23795, 2630, 381, 6153, 8292, 17575, 27807, 21605, 12248, 17788, 4076, 282, 34570, 37828, 282, 38554, 16, 2983, 4934, 282, 24425, 16, 289, 19194, 763, 360, 32371, 17411, 309, 2923, 1175, 18, 2263, 21605, 523, 870, 14267, 20075, 14027, 5779, 18, 510, 640, 703, 726, 21857, 25545, 4490, 3247, 16, 29690, 8538, 309, 32542, 16, 5978, 37973, 448, 12520, 371, 3709, 15128, 30, 417, 3038, 22458, 360, 18571, 8465, 567, 1844, 3533, 31679, 1212, 4586, 843, 18, 46498, 16, 374, 417, 475, 2498, 13161, 18, 629, 2715, 16, 374, 289, 453, 475, 2498, 13161, 16, 827, 745, 21704, 329, 2891, 16, 2391, 309, 37973, 281, 8975, 1685, 322, 13277, 16, 510, 9848, 21605, 523, 18, 889, 322, 7732, 6018, 622, 16, 1586, 3621, 281, 33373, 281, 1110, 1326, 16, 428, 492, 2780, 11179, 12570, 282, 24268, 5868, 19762, 1011, 10144, 282, 39309, 1032, 3972, 4440, 779, 18, 365, 16488, 3675, 580, 42962, 975, 43693, 334, 5330, 564, 309, 11151, 680, 8424, 334, 870, 582, 349, 8225, 12441, 434, 9047, 289, 31551, 4510, 541, 8465, 282, 44061, 5856, 1069, 4678, 18, 9873, 35439, 32091, 688, 630, 26595, 21605, 523, 11451, 19575, 22659, 396, 2987, 3562, 44855, 21409, 16, 961, 3816, 27891, 4788, 24369, 35472, 16, 11448, 3991, 2175, 7391, 1510, 697 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16786, 282, 481, 808, 282, 4802, 7292, 40745, 16, 2319, 16083, 20713, 16, 753, 16122, 24724, 20711, 37682, 19157, 505, 5169, 16, 16328, 5792, 2159, 2743, 968, 11784, 1700, 16, 48431, 3193, 6814, 18747, 2864, 1082, 37728, 18, 46899, 11285, 9847, 15135, 16, 374, 290, 49102, 8180, 322, 3419, 16, 8811, 18747, 1472, 7153, 4030, 20957, 454, 290, 9158, 263, 294, 18629, 7768, 18, 478, 677, 22485, 4357, 9347, 481, 10570, 1525, 16, 2091, 16, 322, 1623, 18, 28066, 16, 785, 9286, 281, 13472, 309, 986, 547, 4577, 4765, 467, 2846, 44333, 8182, 1631, 16, 2062, 4687, 30, 478, 672, 932, 2445, 464, 282, 5894, 910, 510, 481, 26288, 541, 1512, 16, 322, 20464, 1587, 20957, 382, 360, 32878, 18, 11966, 16, 745, 2141, 1139, 4366, 7187, 510, 49247, 5894, 5412, 2251, 910, 510, 27607, 1151, 17684, 26058, 21605, 523, 18, 21818, 748, 274, 29179, 3255, 20957, 382, 5684, 9502, 17575, 4879, 21605, 3340, 11658, 289, 505, 21701, 5104, 4137, 18, 824, 3163, 20691, 16, 492, 43611, 477, 4802, 3991, 11285, 304, 764, 282, 9937, 16, 9665, 16, 753, 8055, 309, 3586, 16, 1830, 16, 428, 3203, 16934, 16, 19256, 31551, 15551, 289, 519, 722, 31494, 309, 27108, 953, 14380, 322, 895, 18, 478, 1358, 3508, 334, 26292, 12885, 34624, 282, 46899, 11285, 16, 753, 1974, 477, 18629, 5772, 16122, 24724, 16, 785, 289, 1085, 411, 7032, 3212, 5169, 5304, 10529, 541, 16750, 18, 38422, 15844, 322, 687, 4272, 16, 5590, 289, 9502, 16, 515, 935, 24671, 8880, 20646, 289, 697, 19418, 18, 999, 813, 31484, 8249, 910, 510, 4725, 21605, 523, 18, 46899, 11285, 322, 45670, 16, 282, 4301, 5608, 14132, 1101, 11371, 27663, 18, 11626, 5189, 22485, 1901, 5348, 895, 31805, 567, 808, 5072, 1697, 2209, 10438, 16, 785, 28869, 1247, 290, 43279, 14132, 1101, 18, 985, 3828, 23613, 21605, 523, 478, 46088, 18, 8381, 910, 4498, 3419, 290, 34925, 10744, 18473, 24425, 459, 2880, 435, 36358, 15507, 290, 8641, 1097, 22027, 282, 1335, 4008, 15830, 47170, 24642, 18, 21605, 523, 322, 4424, 24857, 484, 309, 3193, 39877, 334, 8823, 294, 505, 36426, 18, 4756, 17786, 35439, 7801, 282, 15204, 8555, 432, 28164, 473, 1659, 630, 672, 934, 46462, 6598, 20691, 18, 365, 4810, 16, 3187, 2234, 1530, 273, 8231, 38946, 1263, 282, 26311, 451, 1551, 381, 41868, 8292, 22773, 2236, 411, 46462, 6598, 21605, 3340, 688, 630, 672, 478, 672, 363, 2042, 861, 365, 11366, 289, 12938, 13143, 41868, 6406, 9959, 309, 27315, 289, 8225, 6617, 688, 630, 672, 478, 672, 363, 2042, 470, 289, 478, 618, 274, 3646, 17, 9284, 861, 48011, 12177, 481, 1743, 26701, 289, 29074, 1166, 505, 281, 8448, 4669, 17036, 18, 23302, 688, 630, 26595, 21605, 7492, 4222, 9529, 11583, 24268, 607, 17344, 7426, 4776, 18, 365, 2343, 4209, 23613, 21605, 523, 3828, 16, 374, 424, 23057, 8231, 11189, 13739, 38624, 8555, 451, 4211, 22128, 2241, 411, 14683, 18, 10470, 5202, 523, 481, 322, 2396, 857, 16, 289, 282, 3998, 4189, 3781, 17, 9952, 8231, 9321, 16, 374, 282, 6233, 2492, 2609, 1867, 2678, 3232, 9201, 434, 9794, 4047, 1251, 37865, 8555, 536, 42431, 478, 618, 274, 3646, 17, 9284, 470, 289, 2059, 411, 27314, 412, 21681, 16695, 371, 25873, 25102, 309, 34578, 8555, 432, 5117, 18, 824, 4734, 8231, 16, 281, 9752, 14490, 432, 4974, 13115, 10317, 27721, 16, 374, 9770, 688, 630, 672, 478, 618, 274, 3646, 17, 9284, 470, 5897, 857, 37390, 309, 24439, 1967, 7868, 16, 33394, 9259, 16, 374, 322, 282, 4349, 9193, 7581, 5117, 16, 27767, 47406, 13979, 16, 18060, 14236, 282, 23991, 5754, 27795, 7919, 9657, 16, 18392, 27172, 10579, 26175, 38261, 18, 478, 30674, 924, 16, 8664, 637, 5809, 6226, 904, 2409, 5754, 39840, 434, 20709, 290, 12864, 763, 17139, 18, 365, 1335, 2630, 6771, 30627, 282, 11552, 8231, 1175, 334, 3507, 541, 20594, 6356, 290, 43279, 14132, 1101, 910, 510, 1629, 576, 1655, 8231, 18, 23613, 21605, 523, 583, 14106, 808, 5931, 282, 6246, 9952, 292, 289, 2397, 14015, 19128, 18747, 35409, 18, 824, 3163, 20691, 16, 492, 8271, 2077, 13662, 12763, 6730, 477, 3319, 11350, 17, 10202, 426, 4455, 411, 33263, 36193, 18, 478, 50206, 530, 16, 374, 9375, 417, 43611, 281, 4586, 12317, 4496, 281, 37119, 416, 16, 374, 2504, 373, 4345, 703, 322, 22855, 300, 16, 367, 1441, 417, 2797, 394, 40436, 289, 3478, 11558, 16, 510, 4848, 11309, 18, 510, 9993, 12732, 16, 2091, 30, 27663, 11371, 282, 4301, 1101, 16, 7301, 2198, 334, 40025, 478, 277, 12169, 546, 470, 510, 13793, 1694, 1003, 510, 360, 18473, 24425, 459, 2880, 435, 36358, 15507, 16, 10901, 2198, 26356, 1703, 18900, 309, 1912, 986, 18, 18724, 556, 492, 381, 2885, 271, 3441, 411, 5240, 6271, 289, 3619, 360, 40432, 334, 38221, 395, 18, 459, 1177, 10901, 1545, 8874, 282, 4772, 16, 5301, 5270, 9442, 12522, 16, 367, 13391, 15123, 481, 428, 21389, 317, 16, 753, 23311, 506, 567, 2651, 5207, 11334, 18, 985, 2521, 417, 9953, 26542, 286, 1851, 17, 299, 861, 365, 12938, 4018, 779, 17642, 24425, 36358, 712, 3828, 282, 46899, 11285, 1248, 4772, 17, 915, 597, 23795, 2630, 381, 6153, 8292, 17575, 27807, 21605, 12248, 17788, 4076, 282, 34570, 37828, 282, 38554, 16, 2983, 4934, 282, 24425, 16, 289, 19194, 763, 360, 32371, 17411, 309, 2923, 1175, 18, 2263, 21605, 523, 870, 14267, 20075, 14027, 5779, 18, 510, 640, 703, 726, 21857, 25545, 4490, 3247, 16, 29690, 8538, 309, 32542, 16, 5978, 37973, 448, 12520, 371, 3709, 15128, 30, 417, 3038, 22458, 360, 18571, 8465, 567, 1844, 3533, 31679, 1212, 4586, 843, 18, 46498, 16, 374, 417, 475, 2498, 13161, 18, 629, 2715, 16, 374, 289, 453, 475, 2498, 13161, 16, 827, 745, 21704, 329, 2891, 16, 2391, 309, 37973, 281, 8975, 1685, 322, 13277, 16, 510, 9848, 21605, 523, 18, 889, 322, 7732, 6018, 622, 16, 1586, 3621, 281, 33373, 281, 1110, 1326, 16, 428, 492, 2780, 11179, 12570, 282, 24268, 5868, 19762, 1011, 10144, 282, 39309, 1032, 3972, 4440, 779, 18, 365, 16488, 3675, 580, 42962, 975, 43693, 334, 5330, 564, 309, 11151, 680, 8424, 334, 870, 582, 349, 8225, 12441, 434, 9047, 289, 31551, 4510, 541, 8465, 282, 44061, 5856, 1069, 4678, 18, 9873, 35439, 32091, 688, 630, 26595, 21605, 523, 11451, 19575, 22659, 396, 2987, 3562, 44855, 21409, 16, 961, 3816, 27891, 4788, 24369, 35472, 16, 11448, 3991, 2175, 7391, 1510, 697 ]
[ 329, 38696, 11861, 18, 2, 1, 87, 1456, 81, 2448, 30, 41619, 1133, 2891, 12002, 290, 5941, 1493, 2935, 1086, 8275, 12290, 7310, 21075, 309, 34162, 18, 33768, 16, 374, 1055, 840, 2760, 8991, 41326, 549, 4461, 16, 1586, 4419, 39630, 309, 2923, 2665, 18, 967, 803, 1314, 309, 5814, 21075, 11007, 17583, 1003, 12072, 10996, 349, 17953, 263, 18, 28616, 322, 5285, 5832, 16, 374, 5995, 309, 10276, 539, 17483, 1698, 3585, 21778, 334, 7413, 281, 26557, 12260, 411, 17, 431, 2708, 1081, 7919, 6979, 1587, 18, 31224, 30, 1140, 14404, 334, 46590, 282, 17123, 12537, 6979, 2854, 2125, 953, 1493, 2935, 6225, 16, 2815, 7638, 17, 13522, 11007, 4210, 22937, 8576, 309, 25804, 334, 32196, 17, 7122, 25272, 7546, 281, 44950, 8775, 289, 14297, 11007, 18, 478, 4348, 11843, 16, 753, 1749, 473, 267, 347, 1733, 7428, 18, 510, 478, 18386, 18, 8381, 9979, 322, 16157, 1329, 360, 15557, 282, 3266, 2127, 3197, 1066, 18, 3249, 953, 16, 840, 1851, 17, 299, 15635, 6945, 2849, 18, 2046, 656, 11843, 1209, 16794, 411, 9177, 18, 740, 4410, 2504, 322, 33144, 16, 374, 656, 6795, 554, 339, 309, 13479, 17, 299, 7601, 382, 910, 510, 1109, 7638, 17, 13522, 18, 824, 35854, 395, 9541, 17, 293, 30557, 29760, 15637, 1682, 488, 1624, 309, 2923, 11007, 7393, 2364, 7640, 646, 453, 25168, 15204, 49727, 16, 764, 2418, 6130, 15204, 12537, 6203, 802, 6979, 2854, 16, 1122, 16172, 3043, 8171, 2364, 1032, 3763, 12991, 18, 33768, 16, 374, 1747, 38052, 46224, 3469, 3056, 541, 26231, 20171, 18, 7907, 645, 549, 4461, 39630, 309, 2923, 2665, 281, 5021, 334, 4440, 1205, 16, 1011, 1660, 906, 8356, 798, 309, 5337, 282, 9802, 360, 1760, 519, 2123, 9, 282, 6099, 360, 13098, 38987, 9811, 360, 26684, 12712, 282, 17123, 18, 985, 27250, 478, 46088, 18, 8381, 470, 9128, 20148, 8840, 10015, 11554, 1614, 15362, 2086, 7900, 4059, 6235, 16, 567, 808, 1810, 281, 3469, 9534, 7174, 887, 27259, 16, 4010, 3400, 25574, 912, 282, 22132, 22446, 16, 3176, 12991, 6979, 305, 16, 289, 2512, 32049, 3645, 13639, 11049, 27200, 349, 2236, 1631, 282, 5004, 18, 478, 4670, 46590, 282, 17123, 14674, 304, 4752, 416, 7428, 5337, 25607, 2364, 4843, 4003, 349, 9518, 16, 1655, 428, 4388, 360, 26684, 282, 17123, 510, 4843, 23, 443, 24, 4500, 18, 2052, 670, 1272, 282, 9518, 21338, 3337, 41925, 16, 961, 10228, 16, 3176, 31058, 16402, 405, 17, 482, 285, 16, 912, 520, 6979, 1733, 18, 1178, 639, 31058, 16, 3057, 16, 2555, 16402, 405, 17, 482, 285, 16, 367, 38110, 349, 1533, 16, 12603, 709, 10556, 910, 510, 10662, 2086, 7900, 4059, 6235, 18, 824, 4734, 6367, 7043, 16, 3433, 4461, 21889, 2678, 23185, 2301, 17411, 16, 4813, 309, 6457, 289, 6342, 4851, 42588, 18, 478, 24686, 8622, 840, 20117, 32107, 16, 867, 8030, 16794, 8275, 21075, 411, 9177, 18, 16369, 3469, 2155, 49856, 411, 17, 431, 924, 16, 374, 1177, 15182, 2272, 7339, 15807, 910, 510, 13737, 478, 46088, 18, 8381, 470, 282, 3709, 411, 43548, 43603, 11554, 18, 6434, 3305, 3084, 289, 24824, 451, 16, 515, 505, 942, 1493, 2935, 1086, 16, 5273, 18165, 6187, 10015, 11554, 478, 618, 987, 347, 17, 4298, 297, 470, 9409, 25971, 18, 478, 3743, 541, 978, 1513, 12269, 5040, 11007, 18, 7858, 322, 1279, 10691, 24075, 16, 785, 912, 281, 1660, 697, 10691, 18, 9822, 16, 1085, 30586, 24075, 10211, 16, 2500, 16, 453, 428, 1760, 9, 510, 3215, 8585, 18, 1178, 373, 5337, 685, 1033, 3801, 274, 6792, 16, 1061, 443, 27, 7418, 697, 639, 373, 1143, 910, 510, 2548, 12189, 18, 824, 37712, 31498, 5337, 309, 4388, 16, 282, 970, 2875, 360, 26684, 282, 17123, 16, 541, 15570, 1562, 4896, 2511, 5999, 478, 6161, 1135, 6558, 4164, 428, 31572, 17704, 16, 502, 492, 2397, 2990, 309, 41326, 668, 6138, 32107, 477, 3429, 761, 1286, 5999, 7907, 645, 549, 4461, 282, 1175, 541, 15570, 1562, 16, 322, 36302, 282, 3106, 26231, 20171, 16, 322, 17110, 16, 453, 428, 678, 20147, 373, 10691, 24075, 282, 14975, 23386, 910, 510, 9848, 15320, 33913, 38923, 478, 4298, 523, 289, 29591, 470, 9840, 49289, 1520, 18, 478, 6161, 24324, 6664, 8773, 10222, 334, 12610, 395, 14820, 4534, 16, 502, 6134, 3469, 1321, 840, 24960, 360, 6394, 6203, 16667, 282, 17123, 7775, 18, 13782, 575, 16, 17111, 411, 30166, 14820, 16, 1727, 6063, 309, 5042, 411, 9177, 7321, 16, 48897, 477, 6203, 2607, 282, 17123, 12537, 16, 942, 2023, 16, 374, 2921, 8518, 4958, 5772, 3300, 1194, 977, 18, 2112, 20961, 41326, 416, 2926, 32107, 3400, 2470, 4486, 3469, 2155, 281, 8864, 12260, 21606, 309, 2706, 9, 910, 510, 5273, 9216, 27462, 6660, 478, 1295, 7662, 523, 289, 29591, 470, 9409, 23327, 3583, 18, 365, 502, 808, 428, 15258, 1133, 2891, 23566, 733, 406, 2237, 24075, 281, 21075, 12712, 16, 583, 15182, 2272, 3164, 282, 4349, 349, 17953, 274, 18, 32354, 1979, 8990, 21075, 12290, 9305, 12712, 282, 803, 1045, 1055, 322, 12350, 16, 6881, 30434, 448, 478, 7128, 305, 323, 18, 8381, 470, 14697, 411, 43548, 43603, 11554, 18, 28616, 935, 322, 5285, 5832, 16, 374, 5995, 1698, 2500, 47907, 345, 6149, 3760, 16, 453, 428, 3757, 282, 481, 808, 3419, 22926, 15490, 3271, 309, 5973, 289, 27300, 309, 12753, 16, 2686, 1314, 6295, 34453, 289, 367, 675, 4970, 626, 1003, 18, 4794, 5024, 4735, 1886, 281, 12980, 353, 11944, 11007, 16, 961, 18604, 4364, 282, 14613, 14496, 2403, 316, 748, 282, 803, 1045, 18, 985, 13737, 282, 15258, 1212, 4454, 1207, 11554, 16, 42390, 32939, 309, 46590, 282, 17123, 18904, 434, 12712, 16, 334, 7413, 281, 26557, 12260, 3400, 28759, 48492, 282, 1272, 4570, 18, 478, 46937, 16, 481, 9245, 281, 32619, 21285, 18, 1563, 10502, 8275, 360, 29217, 16, 10933, 30420, 322, 48898, 1055, 14822, 411, 17, 431, 924, 16, 374, 764, 322, 1142, 286, 5616, 451, 1247, 910, 510, 4725, 18290, 478, 32485, 18, 8381, 861, 24397, 575, 12213, 11531, 3236, 289, 282, 4454, 1207, 11554, 478, 618, 987, 347, 17, 4298, 297, 470, 510, 4662, 839, 5995, 21704, 309, 970, 575, 5066, 670, 2500, 7636, 1886, 282, 6099, 360, 22506, 18, 824, 3761, 10015, 11554, 478, 618, 987, 347, 17, 4298, 297, 910, 9107, 3050, 6134, 21075, 6299, 8486, 360, 4843, 3114, 282, 8729, 16, 7428, 510, 360, 4843, 3161, 18, 39497, 24611, 549, 17364, 282, 17123 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 329, 38696, 11861, 18, 2, 1, 87, 1456, 81, 2448, 30, 41619, 1133, 2891, 12002, 290, 5941, 1493, 2935, 1086, 8275, 12290, 7310, 21075, 309, 34162, 18, 33768, 16, 374, 1055, 840, 2760, 8991, 41326, 549, 4461, 16, 1586, 4419, 39630, 309, 2923, 2665, 18, 967, 803, 1314, 309, 5814, 21075, 11007, 17583, 1003, 12072, 10996, 349, 17953, 263, 18, 28616, 322, 5285, 5832, 16, 374, 5995, 309, 10276, 539, 17483, 1698, 3585, 21778, 334, 7413, 281, 26557, 12260, 411, 17, 431, 2708, 1081, 7919, 6979, 1587, 18, 31224, 30, 1140, 14404, 334, 46590, 282, 17123, 12537, 6979, 2854, 2125, 953, 1493, 2935, 6225, 16, 2815, 7638, 17, 13522, 11007, 4210, 22937, 8576, 309, 25804, 334, 32196, 17, 7122, 25272, 7546, 281, 44950, 8775, 289, 14297, 11007, 18, 478, 4348, 11843, 16, 753, 1749, 473, 267, 347, 1733, 7428, 18, 510, 478, 18386, 18, 8381, 9979, 322, 16157, 1329, 360, 15557, 282, 3266, 2127, 3197, 1066, 18, 3249, 953, 16, 840, 1851, 17, 299, 15635, 6945, 2849, 18, 2046, 656, 11843, 1209, 16794, 411, 9177, 18, 740, 4410, 2504, 322, 33144, 16, 374, 656, 6795, 554, 339, 309, 13479, 17, 299, 7601, 382, 910, 510, 1109, 7638, 17, 13522, 18, 824, 35854, 395, 9541, 17, 293, 30557, 29760, 15637, 1682, 488, 1624, 309, 2923, 11007, 7393, 2364, 7640, 646, 453, 25168, 15204, 49727, 16, 764, 2418, 6130, 15204, 12537, 6203, 802, 6979, 2854, 16, 1122, 16172, 3043, 8171, 2364, 1032, 3763, 12991, 18, 33768, 16, 374, 1747, 38052, 46224, 3469, 3056, 541, 26231, 20171, 18, 7907, 645, 549, 4461, 39630, 309, 2923, 2665, 281, 5021, 334, 4440, 1205, 16, 1011, 1660, 906, 8356, 798, 309, 5337, 282, 9802, 360, 1760, 519, 2123, 9, 282, 6099, 360, 13098, 38987, 9811, 360, 26684, 12712, 282, 17123, 18, 985, 27250, 478, 46088, 18, 8381, 470, 9128, 20148, 8840, 10015, 11554, 1614, 15362, 2086, 7900, 4059, 6235, 16, 567, 808, 1810, 281, 3469, 9534, 7174, 887, 27259, 16, 4010, 3400, 25574, 912, 282, 22132, 22446, 16, 3176, 12991, 6979, 305, 16, 289, 2512, 32049, 3645, 13639, 11049, 27200, 349, 2236, 1631, 282, 5004, 18, 478, 4670, 46590, 282, 17123, 14674, 304, 4752, 416, 7428, 5337, 25607, 2364, 4843, 4003, 349, 9518, 16, 1655, 428, 4388, 360, 26684, 282, 17123, 510, 4843, 23, 443, 24, 4500, 18, 2052, 670, 1272, 282, 9518, 21338, 3337, 41925, 16, 961, 10228, 16, 3176, 31058, 16402, 405, 17, 482, 285, 16, 912, 520, 6979, 1733, 18, 1178, 639, 31058, 16, 3057, 16, 2555, 16402, 405, 17, 482, 285, 16, 367, 38110, 349, 1533, 16, 12603, 709, 10556, 910, 510, 10662, 2086, 7900, 4059, 6235, 18, 824, 4734, 6367, 7043, 16, 3433, 4461, 21889, 2678, 23185, 2301, 17411, 16, 4813, 309, 6457, 289, 6342, 4851, 42588, 18, 478, 24686, 8622, 840, 20117, 32107, 16, 867, 8030, 16794, 8275, 21075, 411, 9177, 18, 16369, 3469, 2155, 49856, 411, 17, 431, 924, 16, 374, 1177, 15182, 2272, 7339, 15807, 910, 510, 13737, 478, 46088, 18, 8381, 470, 282, 3709, 411, 43548, 43603, 11554, 18, 6434, 3305, 3084, 289, 24824, 451, 16, 515, 505, 942, 1493, 2935, 1086, 16, 5273, 18165, 6187, 10015, 11554, 478, 618, 987, 347, 17, 4298, 297, 470, 9409, 25971, 18, 478, 3743, 541, 978, 1513, 12269, 5040, 11007, 18, 7858, 322, 1279, 10691, 24075, 16, 785, 912, 281, 1660, 697, 10691, 18, 9822, 16, 1085, 30586, 24075, 10211, 16, 2500, 16, 453, 428, 1760, 9, 510, 3215, 8585, 18, 1178, 373, 5337, 685, 1033, 3801, 274, 6792, 16, 1061, 443, 27, 7418, 697, 639, 373, 1143, 910, 510, 2548, 12189, 18, 824, 37712, 31498, 5337, 309, 4388, 16, 282, 970, 2875, 360, 26684, 282, 17123, 16, 541, 15570, 1562, 4896, 2511, 5999, 478, 6161, 1135, 6558, 4164, 428, 31572, 17704, 16, 502, 492, 2397, 2990, 309, 41326, 668, 6138, 32107, 477, 3429, 761, 1286, 5999, 7907, 645, 549, 4461, 282, 1175, 541, 15570, 1562, 16, 322, 36302, 282, 3106, 26231, 20171, 16, 322, 17110, 16, 453, 428, 678, 20147, 373, 10691, 24075, 282, 14975, 23386, 910, 510, 9848, 15320, 33913, 38923, 478, 4298, 523, 289, 29591, 470, 9840, 49289, 1520, 18, 478, 6161, 24324, 6664, 8773, 10222, 334, 12610, 395, 14820, 4534, 16, 502, 6134, 3469, 1321, 840, 24960, 360, 6394, 6203, 16667, 282, 17123, 7775, 18, 13782, 575, 16, 17111, 411, 30166, 14820, 16, 1727, 6063, 309, 5042, 411, 9177, 7321, 16, 48897, 477, 6203, 2607, 282, 17123, 12537, 16, 942, 2023, 16, 374, 2921, 8518, 4958, 5772, 3300, 1194, 977, 18, 2112, 20961, 41326, 416, 2926, 32107, 3400, 2470, 4486, 3469, 2155, 281, 8864, 12260, 21606, 309, 2706, 9, 910, 510, 5273, 9216, 27462, 6660, 478, 1295, 7662, 523, 289, 29591, 470, 9409, 23327, 3583, 18, 365, 502, 808, 428, 15258, 1133, 2891, 23566, 733, 406, 2237, 24075, 281, 21075, 12712, 16, 583, 15182, 2272, 3164, 282, 4349, 349, 17953, 274, 18, 32354, 1979, 8990, 21075, 12290, 9305, 12712, 282, 803, 1045, 1055, 322, 12350, 16, 6881, 30434, 448, 478, 7128, 305, 323, 18, 8381, 470, 14697, 411, 43548, 43603, 11554, 18, 28616, 935, 322, 5285, 5832, 16, 374, 5995, 1698, 2500, 47907, 345, 6149, 3760, 16, 453, 428, 3757, 282, 481, 808, 3419, 22926, 15490, 3271, 309, 5973, 289, 27300, 309, 12753, 16, 2686, 1314, 6295, 34453, 289, 367, 675, 4970, 626, 1003, 18, 4794, 5024, 4735, 1886, 281, 12980, 353, 11944, 11007, 16, 961, 18604, 4364, 282, 14613, 14496, 2403, 316, 748, 282, 803, 1045, 18, 985, 13737, 282, 15258, 1212, 4454, 1207, 11554, 16, 42390, 32939, 309, 46590, 282, 17123, 18904, 434, 12712, 16, 334, 7413, 281, 26557, 12260, 3400, 28759, 48492, 282, 1272, 4570, 18, 478, 46937, 16, 481, 9245, 281, 32619, 21285, 18, 1563, 10502, 8275, 360, 29217, 16, 10933, 30420, 322, 48898, 1055, 14822, 411, 17, 431, 924, 16, 374, 764, 322, 1142, 286, 5616, 451, 1247, 910, 510, 4725, 18290, 478, 32485, 18, 8381, 861, 24397, 575, 12213, 11531, 3236, 289, 282, 4454, 1207, 11554, 478, 618, 987, 347, 17, 4298, 297, 470, 510, 4662, 839, 5995, 21704, 309, 970, 575, 5066, 670, 2500, 7636, 1886, 282, 6099, 360, 22506, 18, 824, 3761, 10015, 11554, 478, 618, 987, 347, 17, 4298, 297, 910, 9107, 3050, 6134, 21075, 6299, 8486, 360, 4843, 3114, 282, 8729, 16, 7428, 510, 360, 4843, 3161, 18, 39497, 24611, 549, 17364, 282, 17123 ]
[ 2353, 360, 4843, 6427, 443, 3324, 16, 3437, 24611, 549, 510, 360, 25817, 5737, 289, 3230, 18, 824, 1574, 10811, 942, 5778, 14500, 567, 808, 35595, 8900, 510, 282, 12938, 31, 282, 13186, 289, 282, 11872, 5995, 1747, 1143, 309, 4317, 443, 3324, 5999, 26605, 14657, 25581, 510, 282, 24756, 6637, 2800, 16, 4874, 266, 337, 464, 16, 26486, 432, 42443, 34471, 548, 16, 2151, 342, 3451, 289, 17469, 2070, 298, 18, 2, 1, 87, 1456, 81, 2448, 30, 983, 5307, 6147, 37759, 28504, 25688, 2467, 1559, 25984, 16130, 17, 960, 25359, 289, 4223, 282, 21854, 7561, 2422, 18, 3771, 3141, 17711, 9969, 5841, 454, 17016, 364, 16, 16150, 1272, 36222, 18, 31224, 30, 6706, 23280, 451, 16130, 17, 960, 25359, 14306, 13225, 879, 2354, 329, 28654, 478, 47963, 1018, 17, 21, 861, 3557, 1033, 16, 374, 1011, 17139, 2438, 6218, 16, 374, 475, 7305, 3244, 16, 45587, 1527, 28178, 4617, 548, 449, 18488, 282, 3453, 34042, 1747, 14322, 3215, 2156, 349, 18282, 309, 13856, 17, 31298, 18, 439, 10552, 3872, 6026, 22588, 7850, 16075, 18, 365, 1420, 16, 4424, 282, 25881, 11258, 21035, 322, 18351, 478, 37293, 21604, 271, 910, 367, 37759, 28504, 25688, 2467, 411, 478, 18635, 332, 10616, 861, 478, 1358, 1833, 575, 8580, 5653, 1205, 16, 785, 17060, 1373, 2615, 334, 2679, 282, 24087, 16, 510, 4848, 492, 18, 651, 5227, 575, 417, 30682, 4698, 8955, 18, 25582, 24675, 5841, 343, 895, 953, 2697, 25630, 272, 6036, 16, 7614, 306, 11769, 309, 23769, 4621, 3623, 861, 3771, 3141, 17711, 9969, 1559, 1472, 2418, 17, 277, 18, 478, 7148, 12271, 9660, 840, 4525, 16, 515, 417, 16139, 475, 16, 374, 942, 16, 510, 2815, 492, 18, 651, 14586, 3860, 567, 7422, 41495, 25522, 18, 8589, 8940, 870, 3860, 861, 10512, 266, 25678, 5019, 709, 939, 21279, 18, 740, 7081, 1209, 505, 9271, 3213, 9969, 18, 3771, 3141, 37290, 12229, 9412, 266, 16, 367, 971, 46856, 46021, 990, 1209, 334, 39735, 16, 428, 2521, 492, 6820, 309, 16130, 17, 960, 25359, 16, 367, 988, 17, 1796, 309, 16822, 686, 1212, 11427, 282, 30383, 16, 988, 9099, 13759, 394, 942, 25777, 319, 12106, 18, 740, 9457, 17, 288, 3704, 355, 343, 282, 1177, 1119, 4726, 6903, 6812, 2159, 2641, 360, 46850, 655, 47945, 489, 13729, 516, 7872, 492, 3903, 373, 6382, 12959, 16, 515, 2512, 505, 5911, 5799, 289, 47143, 16, 371, 21288, 281, 1807, 4342, 1927, 8308, 272, 16, 4233, 1752, 309, 2303, 356, 16, 4723, 5826, 19153, 11930, 18, 2681, 1215, 9969, 349, 481, 3619, 1833, 1272, 36222, 655, 996, 374, 5841, 343, 322, 2916, 977, 541, 26282, 478, 730, 1569, 470, 281, 2887, 2742, 18, 15060, 16, 374, 282, 1574, 4096, 290, 18218, 750, 282, 12994, 516, 17025, 942, 639, 10408, 18, 3557, 1033, 16, 374, 975, 764, 289, 45843, 40402, 381, 21455, 572, 18, 37759, 28504, 25688, 2467, 439, 309, 23769, 15681, 25385, 15949, 4905, 18, 17829, 869, 25941, 3064, 28504, 25688, 2467, 16, 367, 349, 505, 6381, 7739, 1157, 1741, 17485, 668, 13375, 349, 33215, 1801, 18, 8859, 939, 2693, 282, 29723, 2244, 25871, 9840, 21094, 296, 3418, 411, 478, 37293, 21604, 271, 910, 515, 5750, 2636, 1783, 8561, 4726, 322, 541, 1335, 4966, 18, 9967, 492, 309, 4451, 9439, 1126, 1153, 9031, 282, 3714, 1013, 289, 49564, 46618, 294, 28504, 25688, 28376, 18, 29322, 709, 39280, 1728, 11350, 17, 3533, 266, 7671, 34733, 660, 439, 2221, 3008, 411, 478, 45652, 287, 312, 861, 740, 411, 17, 431, 3098, 4593, 492, 9724, 289, 11464, 1756, 16, 5505, 10551, 4024, 12306, 5044, 3495, 5097, 16, 1038, 2390, 2989, 478, 18635, 332, 987, 861, 19592, 1162, 7193, 282, 6031, 13721, 332, 8440, 526, 18, 42172, 22607, 460, 3064, 439, 2221, 3008, 16, 367, 2512, 37160, 411, 478, 37293, 21604, 271, 470, 510, 43549, 572, 289, 21094, 296, 3418, 18, 44146, 28504, 25688, 5097, 2052, 37817, 3271, 13894, 26568, 17659, 434, 4682, 22735, 1034, 1000, 292, 665, 1624, 1029, 309, 16876, 38529, 6204, 22659, 5514, 25618, 321, 377, 289, 7188, 4318, 289, 4167, 1844, 4056, 11970, 18, 1665, 367, 6548, 6127, 25678, 651, 28504, 25688, 2467, 289, 19047, 2467, 7451, 282, 21854, 7561, 2422, 16, 29575, 743, 24411, 411, 478, 37293, 21604, 332, 861, 11333, 7036, 942, 5298, 1336, 1492, 2, 1, 87, 1456, 81, 2448, 30, 23, 3598, 35170, 1078, 448, 23708, 2664, 16180, 5538, 18, 4098, 14508, 478, 49256, 30433, 470, 1642, 4426, 2180, 14073, 2560, 1616, 45829, 2839, 1262, 45300, 271, 14686, 478, 31742, 300, 910, 367, 16708, 478, 11108, 12887, 470, 282, 20548, 1212, 478, 1295, 433, 321, 16368, 470, 33513, 30367, 478, 37293, 21604, 1528, 910, 515, 44065, 8955, 282, 27283, 808, 18, 2112, 9512, 16287, 5071, 1952, 289, 21188, 3541, 424, 12978, 3319, 1054, 4869, 290, 14170, 2529, 18, 31224, 30, 1098, 18920, 778, 478, 31742, 300, 470, 895, 4601, 1086, 309, 11163, 11328, 3775, 282, 10021, 750, 281, 478, 49256, 30433, 861, 365, 5572, 35107, 309, 478, 1605, 6952, 4013, 19495, 470, 478, 343, 315, 307, 394, 470, 6459, 1879, 14725, 282, 11063, 16, 6984, 5907, 16432, 16, 515, 45468, 1472, 7406, 16, 367, 282, 2343, 764, 289, 478, 960, 275, 15787, 470, 2419, 1190, 47149, 11216, 18, 365, 13927, 312, 476, 4966, 12362, 3077, 451, 12544, 16, 515, 475, 3508, 8970, 11216, 1307, 28772, 478, 429, 1282, 267, 1051, 470, 45829, 2839, 1262, 1624, 5568, 1510, 10434, 7491, 2822, 411, 17, 431, 5689, 1166, 7167, 349, 22232, 281, 41445, 45829, 42887, 913, 23912, 2019, 282, 23356, 2297, 1020, 643, 523, 349, 4101, 10384, 49648, 18, 478, 1358, 2641, 29622, 3463, 1512, 16, 961, 939, 1269, 7393, 16, 1830, 2504, 322, 8493, 697, 18, 1345, 3811, 3413, 282, 3709, 6942, 16, 289, 475, 27450, 1904, 18, 6939, 3378, 10846, 282, 970, 575, 16712, 289, 22607, 460, 1519, 13664, 353, 282, 21673, 16, 510, 1109, 38331, 478, 49256, 30433, 470, 309, 4398, 17033, 29049, 3781, 17, 19858, 18, 510, 1345, 939, 13392, 6863, 282, 23356, 18, 3037, 538, 6273, 281, 3217, 3453, 10592, 16, 428, 282, 4722, 445, 14725, 282, 9258, 11100, 8267, 18, 27025, 453, 11723, 12605, 332, 965, 309, 13519, 11056, 16, 1450, 3711, 5582, 1291, 16, 1367, 6002, 23085, 35565, 10133, 18, 740, 453, 289, 5106, 651, 6228, 21188, 48898, 965, 282, 7658, 21273, 16, 367, 29591, 16004, 309, 697, 5066, 18, 1345, 7187, 11011, 13784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2353, 360, 4843, 6427, 443, 3324, 16, 3437, 24611, 549, 510, 360, 25817, 5737, 289, 3230, 18, 824, 1574, 10811, 942, 5778, 14500, 567, 808, 35595, 8900, 510, 282, 12938, 31, 282, 13186, 289, 282, 11872, 5995, 1747, 1143, 309, 4317, 443, 3324, 5999, 26605, 14657, 25581, 510, 282, 24756, 6637, 2800, 16, 4874, 266, 337, 464, 16, 26486, 432, 42443, 34471, 548, 16, 2151, 342, 3451, 289, 17469, 2070, 298, 18, 2, 1, 87, 1456, 81, 2448, 30, 983, 5307, 6147, 37759, 28504, 25688, 2467, 1559, 25984, 16130, 17, 960, 25359, 289, 4223, 282, 21854, 7561, 2422, 18, 3771, 3141, 17711, 9969, 5841, 454, 17016, 364, 16, 16150, 1272, 36222, 18, 31224, 30, 6706, 23280, 451, 16130, 17, 960, 25359, 14306, 13225, 879, 2354, 329, 28654, 478, 47963, 1018, 17, 21, 861, 3557, 1033, 16, 374, 1011, 17139, 2438, 6218, 16, 374, 475, 7305, 3244, 16, 45587, 1527, 28178, 4617, 548, 449, 18488, 282, 3453, 34042, 1747, 14322, 3215, 2156, 349, 18282, 309, 13856, 17, 31298, 18, 439, 10552, 3872, 6026, 22588, 7850, 16075, 18, 365, 1420, 16, 4424, 282, 25881, 11258, 21035, 322, 18351, 478, 37293, 21604, 271, 910, 367, 37759, 28504, 25688, 2467, 411, 478, 18635, 332, 10616, 861, 478, 1358, 1833, 575, 8580, 5653, 1205, 16, 785, 17060, 1373, 2615, 334, 2679, 282, 24087, 16, 510, 4848, 492, 18, 651, 5227, 575, 417, 30682, 4698, 8955, 18, 25582, 24675, 5841, 343, 895, 953, 2697, 25630, 272, 6036, 16, 7614, 306, 11769, 309, 23769, 4621, 3623, 861, 3771, 3141, 17711, 9969, 1559, 1472, 2418, 17, 277, 18, 478, 7148, 12271, 9660, 840, 4525, 16, 515, 417, 16139, 475, 16, 374, 942, 16, 510, 2815, 492, 18, 651, 14586, 3860, 567, 7422, 41495, 25522, 18, 8589, 8940, 870, 3860, 861, 10512, 266, 25678, 5019, 709, 939, 21279, 18, 740, 7081, 1209, 505, 9271, 3213, 9969, 18, 3771, 3141, 37290, 12229, 9412, 266, 16, 367, 971, 46856, 46021, 990, 1209, 334, 39735, 16, 428, 2521, 492, 6820, 309, 16130, 17, 960, 25359, 16, 367, 988, 17, 1796, 309, 16822, 686, 1212, 11427, 282, 30383, 16, 988, 9099, 13759, 394, 942, 25777, 319, 12106, 18, 740, 9457, 17, 288, 3704, 355, 343, 282, 1177, 1119, 4726, 6903, 6812, 2159, 2641, 360, 46850, 655, 47945, 489, 13729, 516, 7872, 492, 3903, 373, 6382, 12959, 16, 515, 2512, 505, 5911, 5799, 289, 47143, 16, 371, 21288, 281, 1807, 4342, 1927, 8308, 272, 16, 4233, 1752, 309, 2303, 356, 16, 4723, 5826, 19153, 11930, 18, 2681, 1215, 9969, 349, 481, 3619, 1833, 1272, 36222, 655, 996, 374, 5841, 343, 322, 2916, 977, 541, 26282, 478, 730, 1569, 470, 281, 2887, 2742, 18, 15060, 16, 374, 282, 1574, 4096, 290, 18218, 750, 282, 12994, 516, 17025, 942, 639, 10408, 18, 3557, 1033, 16, 374, 975, 764, 289, 45843, 40402, 381, 21455, 572, 18, 37759, 28504, 25688, 2467, 439, 309, 23769, 15681, 25385, 15949, 4905, 18, 17829, 869, 25941, 3064, 28504, 25688, 2467, 16, 367, 349, 505, 6381, 7739, 1157, 1741, 17485, 668, 13375, 349, 33215, 1801, 18, 8859, 939, 2693, 282, 29723, 2244, 25871, 9840, 21094, 296, 3418, 411, 478, 37293, 21604, 271, 910, 515, 5750, 2636, 1783, 8561, 4726, 322, 541, 1335, 4966, 18, 9967, 492, 309, 4451, 9439, 1126, 1153, 9031, 282, 3714, 1013, 289, 49564, 46618, 294, 28504, 25688, 28376, 18, 29322, 709, 39280, 1728, 11350, 17, 3533, 266, 7671, 34733, 660, 439, 2221, 3008, 411, 478, 45652, 287, 312, 861, 740, 411, 17, 431, 3098, 4593, 492, 9724, 289, 11464, 1756, 16, 5505, 10551, 4024, 12306, 5044, 3495, 5097, 16, 1038, 2390, 2989, 478, 18635, 332, 987, 861, 19592, 1162, 7193, 282, 6031, 13721, 332, 8440, 526, 18, 42172, 22607, 460, 3064, 439, 2221, 3008, 16, 367, 2512, 37160, 411, 478, 37293, 21604, 271, 470, 510, 43549, 572, 289, 21094, 296, 3418, 18, 44146, 28504, 25688, 5097, 2052, 37817, 3271, 13894, 26568, 17659, 434, 4682, 22735, 1034, 1000, 292, 665, 1624, 1029, 309, 16876, 38529, 6204, 22659, 5514, 25618, 321, 377, 289, 7188, 4318, 289, 4167, 1844, 4056, 11970, 18, 1665, 367, 6548, 6127, 25678, 651, 28504, 25688, 2467, 289, 19047, 2467, 7451, 282, 21854, 7561, 2422, 16, 29575, 743, 24411, 411, 478, 37293, 21604, 332, 861, 11333, 7036, 942, 5298, 1336, 1492, 2, 1, 87, 1456, 81, 2448, 30, 23, 3598, 35170, 1078, 448, 23708, 2664, 16180, 5538, 18, 4098, 14508, 478, 49256, 30433, 470, 1642, 4426, 2180, 14073, 2560, 1616, 45829, 2839, 1262, 45300, 271, 14686, 478, 31742, 300, 910, 367, 16708, 478, 11108, 12887, 470, 282, 20548, 1212, 478, 1295, 433, 321, 16368, 470, 33513, 30367, 478, 37293, 21604, 1528, 910, 515, 44065, 8955, 282, 27283, 808, 18, 2112, 9512, 16287, 5071, 1952, 289, 21188, 3541, 424, 12978, 3319, 1054, 4869, 290, 14170, 2529, 18, 31224, 30, 1098, 18920, 778, 478, 31742, 300, 470, 895, 4601, 1086, 309, 11163, 11328, 3775, 282, 10021, 750, 281, 478, 49256, 30433, 861, 365, 5572, 35107, 309, 478, 1605, 6952, 4013, 19495, 470, 478, 343, 315, 307, 394, 470, 6459, 1879, 14725, 282, 11063, 16, 6984, 5907, 16432, 16, 515, 45468, 1472, 7406, 16, 367, 282, 2343, 764, 289, 478, 960, 275, 15787, 470, 2419, 1190, 47149, 11216, 18, 365, 13927, 312, 476, 4966, 12362, 3077, 451, 12544, 16, 515, 475, 3508, 8970, 11216, 1307, 28772, 478, 429, 1282, 267, 1051, 470, 45829, 2839, 1262, 1624, 5568, 1510, 10434, 7491, 2822, 411, 17, 431, 5689, 1166, 7167, 349, 22232, 281, 41445, 45829, 42887, 913, 23912, 2019, 282, 23356, 2297, 1020, 643, 523, 349, 4101, 10384, 49648, 18, 478, 1358, 2641, 29622, 3463, 1512, 16, 961, 939, 1269, 7393, 16, 1830, 2504, 322, 8493, 697, 18, 1345, 3811, 3413, 282, 3709, 6942, 16, 289, 475, 27450, 1904, 18, 6939, 3378, 10846, 282, 970, 575, 16712, 289, 22607, 460, 1519, 13664, 353, 282, 21673, 16, 510, 1109, 38331, 478, 49256, 30433, 470, 309, 4398, 17033, 29049, 3781, 17, 19858, 18, 510, 1345, 939, 13392, 6863, 282, 23356, 18, 3037, 538, 6273, 281, 3217, 3453, 10592, 16, 428, 282, 4722, 445, 14725, 282, 9258, 11100, 8267, 18, 27025, 453, 11723, 12605, 332, 965, 309, 13519, 11056, 16, 1450, 3711, 5582, 1291, 16, 1367, 6002, 23085, 35565, 10133, 18, 740, 453, 289, 5106, 651, 6228, 21188, 48898, 965, 282, 7658, 21273, 16, 367, 29591, 16004, 309, 697, 5066, 18, 1345, 7187, 11011, 13784 ]
[ 478, 31742, 455, 470, 289, 16, 3684, 16, 1904, 281, 2184, 47844, 18, 2220, 343, 8324, 7769, 27852, 1800, 11347, 281, 21916, 38583, 289, 322, 4263, 975, 1329, 2048, 16, 367, 16404, 4874, 345, 11347, 18343, 289, 8046, 1827, 811, 281, 608, 6408, 296, 7942, 18, 6873, 1412, 685, 11126, 281, 2887, 11769, 282, 10434, 18, 1303, 11723, 7650, 505, 16, 367, 656, 6745, 16, 1660, 11843, 360, 1047, 18, 17942, 454, 289, 528, 3394, 1496, 392, 2834, 10316, 18116, 16, 753, 27955, 6149, 16, 367, 6873, 1412, 1833, 24554, 709, 282, 8616, 18, 365, 2567, 21273, 3845, 484, 5517, 16, 9388, 2899, 2125, 953, 6828, 1685, 16, 289, 1717, 2388, 5778, 276, 329, 478, 49256, 30433, 861, 4338, 43775, 898, 281, 3928, 16, 15545, 414, 281, 3928, 7150, 2552, 3321, 978, 3427, 18, 889, 2197, 411, 5606, 15240, 3182, 16, 2588, 656, 25290, 309, 478, 677, 31379, 9703, 1136, 26909, 315, 861, 14427, 9680, 478, 31742, 455, 470, 43526, 7384, 6157, 1624, 541, 2024, 1177, 9518, 4722, 329, 42201, 22322, 718, 7586, 16, 281, 3279, 492, 453, 289, 322, 7499, 305, 2297, 1020, 643, 368, 16, 322, 38678, 1728, 43927, 18, 478, 732, 844, 906, 12625, 416, 16, 656, 24366, 475, 3402, 18, 11489, 37270, 478, 49256, 30433, 910, 3684, 16, 745, 7499, 467, 2151, 877, 5538, 18, 6023, 1660, 17, 299, 322, 9929, 282, 34838, 5514, 18, 1178, 5298, 309, 3400, 40071, 3928, 349, 1272, 7977, 25592, 16, 656, 5087, 45601, 1954, 18, 1303, 1513, 639, 11291, 764, 282, 4056, 9547, 18, 459, 1800, 282, 5572, 44056, 656, 1858, 11163, 5740, 8960, 597, 25592, 18, 478, 49256, 30433, 470, 1904, 3196, 5432, 18, 13387, 375, 4176, 697, 360, 1061, 17, 26, 1593, 1011, 29141, 16, 510, 1109, 16708, 12987, 18, 510, 629, 939, 13060, 928, 16, 35801, 18, 23624, 5134, 10212, 411, 14452, 1011, 1574, 4466, 309, 7266, 21268, 1879, 18, 2877, 329, 7586, 912, 808, 8695, 290, 970, 16, 374, 2240, 282, 11671, 11258, 18, 34849, 429, 2839, 357, 388, 307, 16627, 322, 939, 1904, 16, 1830, 656, 1494, 31867, 309, 12644, 18, 5454, 16, 492, 1326, 937, 18363, 8435, 16, 515, 417, 322, 2447, 13449, 19902, 18, 629, 939, 14370, 286, 16, 515, 1248, 481, 1513, 6886, 30, 12544, 895, 953, 939, 10735, 16, 367, 3891, 492, 29740, 18, 740, 1800, 656, 13081, 339, 861, 37540, 478, 49256, 30433, 470, 40848, 363, 528, 3394, 1496, 268, 1624, 1763, 8694, 282, 14109, 289, 1478, 1779, 1642, 774, 3643, 9871, 309, 2839, 1100, 16, 35447, 1011, 7977, 13327, 16, 515, 15058, 405, 16, 5777, 743, 10242, 4966, 18, 478, 4348, 939, 13392, 18, 11324, 16, 813, 8232, 35936, 23356, 18, 6023, 939, 3813, 16, 753, 23822, 309, 478, 677, 31379, 9703, 1136, 26909, 315, 470, 906, 1574, 16, 428, 309, 478, 677, 711, 11186, 24290, 868, 913, 861, 459, 1800, 656, 481, 5684, 910, 510, 1109, 16708, 39914, 18, 3739, 3348, 28383, 32940, 1559, 1280, 16671, 774, 34544, 478, 429, 1282, 267, 1051, 470, 8426, 1367, 6002, 1624, 41869, 1779, 5502, 4176, 891, 282, 5572, 8267, 289, 23861, 360, 3290, 1779, 282, 1078, 547, 18, 640, 478, 677, 31379, 9703, 1136, 26909, 315, 470, 505, 478, 267, 809, 525, 470, 17786, 282, 2297, 1020, 643, 1165, 23980, 726, 3417, 27, 1879, 18, 478, 6039, 639, 322, 453, 1139, 16, 428, 3073, 18, 1345, 12362, 965, 8669, 416, 15825, 16, 1480, 416, 1904, 6281, 282, 7658, 21273, 18, 385, 7071, 14497, 17983, 475, 28469, 8030, 18, 629, 939, 8284, 286, 519, 4070, 28554, 910, 510, 4725, 1367, 6002, 18, 415, 12319, 2662, 3153, 289, 329, 570, 2880, 778, 33979, 25236, 44432, 4966, 45829, 13387, 375, 1624, 1038, 2454, 1510, 36441, 309, 26911, 2529, 5066, 18, 478, 1295, 2251, 16, 374, 1299, 840, 939, 6392, 16, 515, 16, 294, 10814, 16, 656, 21648, 18908, 309, 28403, 18, 608, 813, 10544, 43775, 282, 2968, 910, 651, 4725, 329, 570, 342, 1577, 18, 640, 29282, 42969, 1027, 1963, 13598, 25214, 25236, 478, 31742, 455, 470, 5223, 755, 14873, 49063, 3715, 478, 1358, 939, 9416, 1390, 16, 784, 939, 17027, 18, 6023, 4525, 5134, 1177, 6441, 18, 478, 49256, 30433, 470, 322, 5505, 16179, 1269, 1642, 18, 1345, 19785, 41701, 16, 515, 1299, 639, 322, 25093, 481, 2048, 18, 1303, 282, 43813, 582, 898, 939, 8950, 2137, 1007, 18, 1345, 7187, 6863, 282, 23356, 2332, 16035, 507, 16, 329, 1047, 10900, 549, 30583, 861, 365, 4413, 10021, 750, 11618, 685, 30629, 928, 764, 1033, 41338, 18, 2871, 15909, 778, 478, 37293, 21604, 271, 632, 433, 321, 7474, 470, 10587, 8782, 18070, 567, 7422, 44056, 1078, 434, 7977, 2239, 30, 22, 16, 20881, 360, 478, 11108, 267, 831, 470, 282, 5572, 35107, 309, 478, 677, 310, 314, 1725, 861, 2046, 282, 27283, 808, 25236, 22857, 363, 660, 281, 37073, 346, 5568, 17, 2767, 4657, 395, 4378, 13440, 282, 23356, 16, 1029, 8192, 282, 478, 10393, 913, 861, 967, 803, 16, 1381, 8097, 16, 374, 1355, 28146, 16, 281, 2024, 685, 34807, 9258, 1815, 11216, 16, 685, 9540, 37124, 651, 25904, 7179, 17771, 287, 11088, 10056, 409, 342, 42924, 1148, 16, 374, 11216, 14084, 14536, 4629, 360, 1664, 12887, 1275, 18, 478, 4348, 6993, 9416, 6025, 18, 1345, 10258, 16960, 9518, 282, 38396, 5538, 16, 515, 15501, 5142, 4892, 965, 349, 481, 910, 651, 1109, 334, 17147, 7977, 6548, 9680, 20548, 1275, 9840, 11635, 263, 18, 478, 630, 27518, 539, 30378, 18, 365, 43813, 582, 3333, 821, 9714, 18, 1345, 3221, 9529, 2948, 16, 14725, 1882, 723, 3923, 16, 1314, 939, 6392, 16, 515, 481, 12544, 18, 1345, 2125, 5134, 481, 289, 2048, 15582, 910, 651, 15693, 271, 975, 30435, 6187, 7586, 27655, 399, 727, 932, 19913, 18, 15085, 13895, 10242, 16, 2291, 1807, 16, 639, 329, 24621, 18, 5161, 16, 39207, 478, 11108, 267, 831, 470, 28848, 16388, 457, 291, 286, 322, 38678, 1728, 10665, 18, 478, 4441, 15420, 5, 1345, 282, 23376, 16, 515, 481, 764, 2504, 411, 813, 322, 27530, 18, 43929, 448, 13554, 5, 478, 11108, 12887, 470, 35452, 2388, 26070, 282, 2297, 1020, 643, 1165, 18, 1345, 8970, 16708, 3216, 16, 1029, 26869, 300, 282, 38396, 17793, 18, 4777, 11843, 31911, 764, 1176, 42047, 33461, 18, 1345, 939, 29372, 16, 1800, 2552, 7236, 1223, 965, 910, 510, 4848, 457, 291, 286, 18, 1665, 367, 33979, 25236, 1664, 12887 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 478, 31742, 455, 470, 289, 16, 3684, 16, 1904, 281, 2184, 47844, 18, 2220, 343, 8324, 7769, 27852, 1800, 11347, 281, 21916, 38583, 289, 322, 4263, 975, 1329, 2048, 16, 367, 16404, 4874, 345, 11347, 18343, 289, 8046, 1827, 811, 281, 608, 6408, 296, 7942, 18, 6873, 1412, 685, 11126, 281, 2887, 11769, 282, 10434, 18, 1303, 11723, 7650, 505, 16, 367, 656, 6745, 16, 1660, 11843, 360, 1047, 18, 17942, 454, 289, 528, 3394, 1496, 392, 2834, 10316, 18116, 16, 753, 27955, 6149, 16, 367, 6873, 1412, 1833, 24554, 709, 282, 8616, 18, 365, 2567, 21273, 3845, 484, 5517, 16, 9388, 2899, 2125, 953, 6828, 1685, 16, 289, 1717, 2388, 5778, 276, 329, 478, 49256, 30433, 861, 4338, 43775, 898, 281, 3928, 16, 15545, 414, 281, 3928, 7150, 2552, 3321, 978, 3427, 18, 889, 2197, 411, 5606, 15240, 3182, 16, 2588, 656, 25290, 309, 478, 677, 31379, 9703, 1136, 26909, 315, 861, 14427, 9680, 478, 31742, 455, 470, 43526, 7384, 6157, 1624, 541, 2024, 1177, 9518, 4722, 329, 42201, 22322, 718, 7586, 16, 281, 3279, 492, 453, 289, 322, 7499, 305, 2297, 1020, 643, 368, 16, 322, 38678, 1728, 43927, 18, 478, 732, 844, 906, 12625, 416, 16, 656, 24366, 475, 3402, 18, 11489, 37270, 478, 49256, 30433, 910, 3684, 16, 745, 7499, 467, 2151, 877, 5538, 18, 6023, 1660, 17, 299, 322, 9929, 282, 34838, 5514, 18, 1178, 5298, 309, 3400, 40071, 3928, 349, 1272, 7977, 25592, 16, 656, 5087, 45601, 1954, 18, 1303, 1513, 639, 11291, 764, 282, 4056, 9547, 18, 459, 1800, 282, 5572, 44056, 656, 1858, 11163, 5740, 8960, 597, 25592, 18, 478, 49256, 30433, 470, 1904, 3196, 5432, 18, 13387, 375, 4176, 697, 360, 1061, 17, 26, 1593, 1011, 29141, 16, 510, 1109, 16708, 12987, 18, 510, 629, 939, 13060, 928, 16, 35801, 18, 23624, 5134, 10212, 411, 14452, 1011, 1574, 4466, 309, 7266, 21268, 1879, 18, 2877, 329, 7586, 912, 808, 8695, 290, 970, 16, 374, 2240, 282, 11671, 11258, 18, 34849, 429, 2839, 357, 388, 307, 16627, 322, 939, 1904, 16, 1830, 656, 1494, 31867, 309, 12644, 18, 5454, 16, 492, 1326, 937, 18363, 8435, 16, 515, 417, 322, 2447, 13449, 19902, 18, 629, 939, 14370, 286, 16, 515, 1248, 481, 1513, 6886, 30, 12544, 895, 953, 939, 10735, 16, 367, 3891, 492, 29740, 18, 740, 1800, 656, 13081, 339, 861, 37540, 478, 49256, 30433, 470, 40848, 363, 528, 3394, 1496, 268, 1624, 1763, 8694, 282, 14109, 289, 1478, 1779, 1642, 774, 3643, 9871, 309, 2839, 1100, 16, 35447, 1011, 7977, 13327, 16, 515, 15058, 405, 16, 5777, 743, 10242, 4966, 18, 478, 4348, 939, 13392, 18, 11324, 16, 813, 8232, 35936, 23356, 18, 6023, 939, 3813, 16, 753, 23822, 309, 478, 677, 31379, 9703, 1136, 26909, 315, 470, 906, 1574, 16, 428, 309, 478, 677, 711, 11186, 24290, 868, 913, 861, 459, 1800, 656, 481, 5684, 910, 510, 1109, 16708, 39914, 18, 3739, 3348, 28383, 32940, 1559, 1280, 16671, 774, 34544, 478, 429, 1282, 267, 1051, 470, 8426, 1367, 6002, 1624, 41869, 1779, 5502, 4176, 891, 282, 5572, 8267, 289, 23861, 360, 3290, 1779, 282, 1078, 547, 18, 640, 478, 677, 31379, 9703, 1136, 26909, 315, 470, 505, 478, 267, 809, 525, 470, 17786, 282, 2297, 1020, 643, 1165, 23980, 726, 3417, 27, 1879, 18, 478, 6039, 639, 322, 453, 1139, 16, 428, 3073, 18, 1345, 12362, 965, 8669, 416, 15825, 16, 1480, 416, 1904, 6281, 282, 7658, 21273, 18, 385, 7071, 14497, 17983, 475, 28469, 8030, 18, 629, 939, 8284, 286, 519, 4070, 28554, 910, 510, 4725, 1367, 6002, 18, 415, 12319, 2662, 3153, 289, 329, 570, 2880, 778, 33979, 25236, 44432, 4966, 45829, 13387, 375, 1624, 1038, 2454, 1510, 36441, 309, 26911, 2529, 5066, 18, 478, 1295, 2251, 16, 374, 1299, 840, 939, 6392, 16, 515, 16, 294, 10814, 16, 656, 21648, 18908, 309, 28403, 18, 608, 813, 10544, 43775, 282, 2968, 910, 651, 4725, 329, 570, 342, 1577, 18, 640, 29282, 42969, 1027, 1963, 13598, 25214, 25236, 478, 31742, 455, 470, 5223, 755, 14873, 49063, 3715, 478, 1358, 939, 9416, 1390, 16, 784, 939, 17027, 18, 6023, 4525, 5134, 1177, 6441, 18, 478, 49256, 30433, 470, 322, 5505, 16179, 1269, 1642, 18, 1345, 19785, 41701, 16, 515, 1299, 639, 322, 25093, 481, 2048, 18, 1303, 282, 43813, 582, 898, 939, 8950, 2137, 1007, 18, 1345, 7187, 6863, 282, 23356, 2332, 16035, 507, 16, 329, 1047, 10900, 549, 30583, 861, 365, 4413, 10021, 750, 11618, 685, 30629, 928, 764, 1033, 41338, 18, 2871, 15909, 778, 478, 37293, 21604, 271, 632, 433, 321, 7474, 470, 10587, 8782, 18070, 567, 7422, 44056, 1078, 434, 7977, 2239, 30, 22, 16, 20881, 360, 478, 11108, 267, 831, 470, 282, 5572, 35107, 309, 478, 677, 310, 314, 1725, 861, 2046, 282, 27283, 808, 25236, 22857, 363, 660, 281, 37073, 346, 5568, 17, 2767, 4657, 395, 4378, 13440, 282, 23356, 16, 1029, 8192, 282, 478, 10393, 913, 861, 967, 803, 16, 1381, 8097, 16, 374, 1355, 28146, 16, 281, 2024, 685, 34807, 9258, 1815, 11216, 16, 685, 9540, 37124, 651, 25904, 7179, 17771, 287, 11088, 10056, 409, 342, 42924, 1148, 16, 374, 11216, 14084, 14536, 4629, 360, 1664, 12887, 1275, 18, 478, 4348, 6993, 9416, 6025, 18, 1345, 10258, 16960, 9518, 282, 38396, 5538, 16, 515, 15501, 5142, 4892, 965, 349, 481, 910, 651, 1109, 334, 17147, 7977, 6548, 9680, 20548, 1275, 9840, 11635, 263, 18, 478, 630, 27518, 539, 30378, 18, 365, 43813, 582, 3333, 821, 9714, 18, 1345, 3221, 9529, 2948, 16, 14725, 1882, 723, 3923, 16, 1314, 939, 6392, 16, 515, 481, 12544, 18, 1345, 2125, 5134, 481, 289, 2048, 15582, 910, 651, 15693, 271, 975, 30435, 6187, 7586, 27655, 399, 727, 932, 19913, 18, 15085, 13895, 10242, 16, 2291, 1807, 16, 639, 329, 24621, 18, 5161, 16, 39207, 478, 11108, 267, 831, 470, 28848, 16388, 457, 291, 286, 322, 38678, 1728, 10665, 18, 478, 4441, 15420, 5, 1345, 282, 23376, 16, 515, 481, 764, 2504, 411, 813, 322, 27530, 18, 43929, 448, 13554, 5, 478, 11108, 12887, 470, 35452, 2388, 26070, 282, 2297, 1020, 643, 1165, 18, 1345, 8970, 16708, 3216, 16, 1029, 26869, 300, 282, 38396, 17793, 18, 4777, 11843, 31911, 764, 1176, 42047, 33461, 18, 1345, 939, 29372, 16, 1800, 2552, 7236, 1223, 965, 910, 510, 4848, 457, 291, 286, 18, 1665, 367, 33979, 25236, 1664, 12887 ]
[ 1275, 4508, 696, 44843, 5678, 764, 2915, 289, 20217, 282, 8125, 16, 33160, 16, 374, 1441, 505, 10434, 1513, 31911, 33461, 16180, 5538, 18, 478, 2176, 7266, 1223, 8900, 7168, 7265, 11214, 685, 4004, 18, 4338, 656, 35293, 541, 25467, 16, 1974, 281, 3928, 47213, 305, 1992, 2101, 12887, 16, 510, 4725, 44843, 18, 510, 629, 12377, 16, 374, 840, 6392, 16, 515, 322, 4539, 16, 374, 4618, 18, 478, 1295, 433, 321, 7474, 470, 12608, 3205, 41364, 18, 2877, 813, 8232, 23356, 281, 478, 49256, 30433, 910, 481, 840, 16960, 10133, 289, 16960, 3952, 541, 3338, 25467, 18, 6023, 1513, 20850, 23356, 861, 11333, 7036, 16, 6034, 289, 25956, 942, 5298, 309, 7759, 16180, 5538, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 6039, 361, 282, 771, 409, 31455, 360, 10208, 10676, 16, 282, 9590, 1207, 385, 15152, 14860, 16, 22756, 45129, 1332, 19047, 18, 31224, 30, 26145, 20215, 286, 282, 6656, 38613, 23298, 46173, 18, 2320, 5517, 19556, 281, 3806, 2466, 2252, 16, 785, 1336, 898, 23076, 38139, 448, 13156, 289, 898, 30244, 16108, 309, 1992, 2309, 9179, 1133, 31461, 18, 365, 25460, 31461, 898, 6906, 8214, 10139, 16, 322, 687, 23172, 5708, 16, 515, 289, 12353, 2009, 16, 2686, 519, 3338, 2868, 39045, 687, 1934, 549, 2301, 16, 289, 1314, 678, 27098, 282, 2100, 14110, 541, 20711, 1613, 31361, 16, 1639, 1336, 16, 294, 15695, 16, 334, 2019, 536, 4362, 939, 1269, 18, 640, 7422, 417, 344, 409, 26878, 22301, 25324, 4351, 933, 1934, 278, 942, 4976, 35114, 9179, 933, 43112, 32631, 289, 5249, 2632, 16, 1210, 2339, 7117, 10400, 448, 3361, 281, 29076, 6906, 9355, 18, 20178, 14110, 19452, 23201, 12452, 2301, 4683, 5097, 12648, 10470, 948, 3569, 320, 560, 16, 10052, 7894, 4419, 282, 27989, 18, 6373, 411, 19661, 4683, 5097, 651, 5903, 16, 14264, 783, 8355, 1962, 272, 936, 3584, 361, 318, 289, 1415, 355, 13843, 16, 651, 3429, 1712, 26129, 10162, 7377, 16, 1830, 329, 3725, 678, 9466, 15137, 281, 45607, 3258, 12942, 7468, 3128, 45509, 776, 1823, 69, 18, 14373, 16, 374, 41798, 282, 1264, 334, 371, 4695, 282, 1332, 651, 11860, 3359, 17965, 451, 10122, 18, 365, 5344, 16, 22794, 3788, 4497, 350, 607, 36952, 20187, 1281, 17, 361, 3931, 289, 26240, 19440, 1917, 13496, 13899, 16, 367, 475, 1033, 13386, 6359, 1718, 1886, 282, 5118, 281, 726, 1210, 9946, 6120, 536, 22772, 31623, 18, 996, 374, 1336, 840, 3215, 4525, 3089, 34026, 539, 8794, 1156, 17, 17827, 28017, 16, 3868, 33331, 281, 21946, 5397, 2509, 14714, 16, 14923, 3250, 411, 12736, 16, 32532, 289, 38531, 44767, 18, 1268, 1888, 8775, 10676, 16, 282, 8819, 29010, 933, 16, 19047, 7946, 9858, 939, 49803, 16, 42739, 418, 17, 273, 628, 4697, 18106, 42918, 16, 10833, 4857, 45488, 289, 7218, 622, 2856, 3753, 825, 1332, 454, 18, 34889, 41873, 24353, 3495, 354, 651, 17395, 18, 3759, 322, 1324, 17953, 537, 23025, 845, 16, 537, 705, 1626, 16, 4116, 4004, 432, 541, 1888, 10247, 9460, 18, 999, 1421, 16036, 1608, 5196, 16, 374, 417, 21717, 332, 1336, 16, 1033, 17, 25249, 14440, 34049, 6884, 322, 1033, 1409, 445, 16, 367, 35687, 3716, 322, 639, 18, 9570, 6621, 289, 16331, 19374, 17078, 414, 2941, 18, 2776, 17746, 8577, 1336, 942, 12741, 2697, 45511, 18, 1178, 38167, 411, 5500, 2001, 294, 505, 26436, 473, 2824, 24687, 2364, 1760, 17, 2932, 1879, 934, 502, 942, 14428, 13167, 448, 35039, 1453, 4629, 16, 309, 1639, 9871, 4716, 23767, 1053, 3305, 4799, 448, 16, 3057, 16, 7222, 873, 670, 42309, 18, 15495, 50169, 16, 428, 481, 289, 28507, 16, 36275, 282, 5214, 18, 3759, 575, 27101, 6174, 2301, 1354, 2001, 18, 5714, 14916, 662, 3495, 354, 651, 2361, 411, 3989, 32506, 12424, 2001, 18, 30297, 1047, 2669, 942, 14428, 47210, 32738, 670, 16012, 15270, 541, 2001, 7461, 16, 2388, 428, 16544, 549, 31161, 1162, 23781, 343, 473, 12293, 9222, 38134, 49530, 814, 21984, 1864, 326, 3712, 2915, 16, 942, 18958, 282, 10193, 11663, 28276, 415, 3284, 18, 27432, 281, 1281, 3931, 16, 1332, 685, 16797, 1235, 3778, 48531, 12290, 496, 16, 2319, 11077, 12753, 4188, 977, 19397, 1232, 289, 5651, 13773, 16, 289, 1717, 1336, 27101, 8183, 1949, 33485, 9916, 2203, 16, 594, 2339, 282, 28715, 21439, 2059, 411, 10980, 432, 8068, 3209, 3495, 354, 18, 3397, 19047, 2669, 7788, 14762, 10140, 289, 34977, 30, 1336, 3164, 1176, 411, 3609, 1385, 25683, 10676, 651, 7160, 593, 951, 4919, 16, 282, 502, 808, 428, 9403, 1453, 14429, 19387, 8634, 289, 4745, 15244, 1336, 1423, 48373, 18, 15847, 309, 16043, 3495, 354, 651, 41873, 24708, 18, 19047, 5657, 341, 5502, 11548, 13898, 2159, 808, 18, 4950, 16, 3057, 16, 5298, 20081, 451, 3871, 3832, 478, 9865, 3979, 778, 2865, 22653, 321, 910, 1029, 9904, 4525, 7477, 1938, 5362, 31, 670, 1139, 34505, 309, 21191, 1188, 1498, 424, 1927, 820, 4857, 32209, 9495, 18, 3428, 5298, 309, 10786, 6516, 16, 2388, 428, 9739, 19045, 15073, 18, 439, 942, 1139, 18958, 282, 3591, 850, 296, 670, 14577, 289, 15112, 3640, 10996, 20504, 49668, 10, 1200, 30309, 16, 2486, 45500, 3716, 8856, 18, 3747, 31873, 2147, 3495, 354, 23191, 322, 2708, 1081, 4612, 18, 365, 4784, 16, 42882, 1514, 6979, 18, 1178, 329, 1304, 18795, 3586, 334, 3320, 14334, 16, 387, 1494, 2890, 33370, 13433, 282, 2759, 42038, 478, 21751, 1254, 10652, 6282, 2854, 470, 1624, 10100, 1299, 309, 4459, 3870, 80, 36, 75, 5266, 42362, 18, 1572, 670, 11597, 2998, 281, 4778, 7231, 9551, 282, 22818, 294, 17848, 411, 17180, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 21037, 2274, 40227, 470, 282, 8267, 9817, 17, 361, 13767, 7561, 9460, 322, 10587, 18548, 282, 6258, 868, 637, 476, 18, 415, 409, 6123, 478, 301, 11415, 470, 29497, 478, 36796, 910, 3143, 1779, 478, 1140, 265, 1709, 861, 31224, 30, 18418, 1940, 448, 26070, 9817, 17, 361, 13767, 42745, 282, 11084, 16, 515, 289, 282, 11877, 282, 7638, 17, 326, 1484, 639, 8585, 22188, 18, 27784, 296, 11267, 46915, 17, 16270, 24595, 282, 6258, 868, 637, 476, 16, 988, 1230, 3729, 478, 21037, 2274, 40227, 861, 1787, 478, 301, 11415, 910, 13573, 13375, 349, 4378, 13440, 282, 2151, 877, 17793, 16, 3591, 10133, 309, 22607, 466, 2397, 1837, 22867, 6007, 18, 4320, 7193, 10467, 10399 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1275, 4508, 696, 44843, 5678, 764, 2915, 289, 20217, 282, 8125, 16, 33160, 16, 374, 1441, 505, 10434, 1513, 31911, 33461, 16180, 5538, 18, 478, 2176, 7266, 1223, 8900, 7168, 7265, 11214, 685, 4004, 18, 4338, 656, 35293, 541, 25467, 16, 1974, 281, 3928, 47213, 305, 1992, 2101, 12887, 16, 510, 4725, 44843, 18, 510, 629, 12377, 16, 374, 840, 6392, 16, 515, 322, 4539, 16, 374, 4618, 18, 478, 1295, 433, 321, 7474, 470, 12608, 3205, 41364, 18, 2877, 813, 8232, 23356, 281, 478, 49256, 30433, 910, 481, 840, 16960, 10133, 289, 16960, 3952, 541, 3338, 25467, 18, 6023, 1513, 20850, 23356, 861, 11333, 7036, 16, 6034, 289, 25956, 942, 5298, 309, 7759, 16180, 5538, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 6039, 361, 282, 771, 409, 31455, 360, 10208, 10676, 16, 282, 9590, 1207, 385, 15152, 14860, 16, 22756, 45129, 1332, 19047, 18, 31224, 30, 26145, 20215, 286, 282, 6656, 38613, 23298, 46173, 18, 2320, 5517, 19556, 281, 3806, 2466, 2252, 16, 785, 1336, 898, 23076, 38139, 448, 13156, 289, 898, 30244, 16108, 309, 1992, 2309, 9179, 1133, 31461, 18, 365, 25460, 31461, 898, 6906, 8214, 10139, 16, 322, 687, 23172, 5708, 16, 515, 289, 12353, 2009, 16, 2686, 519, 3338, 2868, 39045, 687, 1934, 549, 2301, 16, 289, 1314, 678, 27098, 282, 2100, 14110, 541, 20711, 1613, 31361, 16, 1639, 1336, 16, 294, 15695, 16, 334, 2019, 536, 4362, 939, 1269, 18, 640, 7422, 417, 344, 409, 26878, 22301, 25324, 4351, 933, 1934, 278, 942, 4976, 35114, 9179, 933, 43112, 32631, 289, 5249, 2632, 16, 1210, 2339, 7117, 10400, 448, 3361, 281, 29076, 6906, 9355, 18, 20178, 14110, 19452, 23201, 12452, 2301, 4683, 5097, 12648, 10470, 948, 3569, 320, 560, 16, 10052, 7894, 4419, 282, 27989, 18, 6373, 411, 19661, 4683, 5097, 651, 5903, 16, 14264, 783, 8355, 1962, 272, 936, 3584, 361, 318, 289, 1415, 355, 13843, 16, 651, 3429, 1712, 26129, 10162, 7377, 16, 1830, 329, 3725, 678, 9466, 15137, 281, 45607, 3258, 12942, 7468, 3128, 45509, 776, 1823, 69, 18, 14373, 16, 374, 41798, 282, 1264, 334, 371, 4695, 282, 1332, 651, 11860, 3359, 17965, 451, 10122, 18, 365, 5344, 16, 22794, 3788, 4497, 350, 607, 36952, 20187, 1281, 17, 361, 3931, 289, 26240, 19440, 1917, 13496, 13899, 16, 367, 475, 1033, 13386, 6359, 1718, 1886, 282, 5118, 281, 726, 1210, 9946, 6120, 536, 22772, 31623, 18, 996, 374, 1336, 840, 3215, 4525, 3089, 34026, 539, 8794, 1156, 17, 17827, 28017, 16, 3868, 33331, 281, 21946, 5397, 2509, 14714, 16, 14923, 3250, 411, 12736, 16, 32532, 289, 38531, 44767, 18, 1268, 1888, 8775, 10676, 16, 282, 8819, 29010, 933, 16, 19047, 7946, 9858, 939, 49803, 16, 42739, 418, 17, 273, 628, 4697, 18106, 42918, 16, 10833, 4857, 45488, 289, 7218, 622, 2856, 3753, 825, 1332, 454, 18, 34889, 41873, 24353, 3495, 354, 651, 17395, 18, 3759, 322, 1324, 17953, 537, 23025, 845, 16, 537, 705, 1626, 16, 4116, 4004, 432, 541, 1888, 10247, 9460, 18, 999, 1421, 16036, 1608, 5196, 16, 374, 417, 21717, 332, 1336, 16, 1033, 17, 25249, 14440, 34049, 6884, 322, 1033, 1409, 445, 16, 367, 35687, 3716, 322, 639, 18, 9570, 6621, 289, 16331, 19374, 17078, 414, 2941, 18, 2776, 17746, 8577, 1336, 942, 12741, 2697, 45511, 18, 1178, 38167, 411, 5500, 2001, 294, 505, 26436, 473, 2824, 24687, 2364, 1760, 17, 2932, 1879, 934, 502, 942, 14428, 13167, 448, 35039, 1453, 4629, 16, 309, 1639, 9871, 4716, 23767, 1053, 3305, 4799, 448, 16, 3057, 16, 7222, 873, 670, 42309, 18, 15495, 50169, 16, 428, 481, 289, 28507, 16, 36275, 282, 5214, 18, 3759, 575, 27101, 6174, 2301, 1354, 2001, 18, 5714, 14916, 662, 3495, 354, 651, 2361, 411, 3989, 32506, 12424, 2001, 18, 30297, 1047, 2669, 942, 14428, 47210, 32738, 670, 16012, 15270, 541, 2001, 7461, 16, 2388, 428, 16544, 549, 31161, 1162, 23781, 343, 473, 12293, 9222, 38134, 49530, 814, 21984, 1864, 326, 3712, 2915, 16, 942, 18958, 282, 10193, 11663, 28276, 415, 3284, 18, 27432, 281, 1281, 3931, 16, 1332, 685, 16797, 1235, 3778, 48531, 12290, 496, 16, 2319, 11077, 12753, 4188, 977, 19397, 1232, 289, 5651, 13773, 16, 289, 1717, 1336, 27101, 8183, 1949, 33485, 9916, 2203, 16, 594, 2339, 282, 28715, 21439, 2059, 411, 10980, 432, 8068, 3209, 3495, 354, 18, 3397, 19047, 2669, 7788, 14762, 10140, 289, 34977, 30, 1336, 3164, 1176, 411, 3609, 1385, 25683, 10676, 651, 7160, 593, 951, 4919, 16, 282, 502, 808, 428, 9403, 1453, 14429, 19387, 8634, 289, 4745, 15244, 1336, 1423, 48373, 18, 15847, 309, 16043, 3495, 354, 651, 41873, 24708, 18, 19047, 5657, 341, 5502, 11548, 13898, 2159, 808, 18, 4950, 16, 3057, 16, 5298, 20081, 451, 3871, 3832, 478, 9865, 3979, 778, 2865, 22653, 321, 910, 1029, 9904, 4525, 7477, 1938, 5362, 31, 670, 1139, 34505, 309, 21191, 1188, 1498, 424, 1927, 820, 4857, 32209, 9495, 18, 3428, 5298, 309, 10786, 6516, 16, 2388, 428, 9739, 19045, 15073, 18, 439, 942, 1139, 18958, 282, 3591, 850, 296, 670, 14577, 289, 15112, 3640, 10996, 20504, 49668, 10, 1200, 30309, 16, 2486, 45500, 3716, 8856, 18, 3747, 31873, 2147, 3495, 354, 23191, 322, 2708, 1081, 4612, 18, 365, 4784, 16, 42882, 1514, 6979, 18, 1178, 329, 1304, 18795, 3586, 334, 3320, 14334, 16, 387, 1494, 2890, 33370, 13433, 282, 2759, 42038, 478, 21751, 1254, 10652, 6282, 2854, 470, 1624, 10100, 1299, 309, 4459, 3870, 80, 36, 75, 5266, 42362, 18, 1572, 670, 11597, 2998, 281, 4778, 7231, 9551, 282, 22818, 294, 17848, 411, 17180, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 21037, 2274, 40227, 470, 282, 8267, 9817, 17, 361, 13767, 7561, 9460, 322, 10587, 18548, 282, 6258, 868, 637, 476, 18, 415, 409, 6123, 478, 301, 11415, 470, 29497, 478, 36796, 910, 3143, 1779, 478, 1140, 265, 1709, 861, 31224, 30, 18418, 1940, 448, 26070, 9817, 17, 361, 13767, 42745, 282, 11084, 16, 515, 289, 282, 11877, 282, 7638, 17, 326, 1484, 639, 8585, 22188, 18, 27784, 296, 11267, 46915, 17, 16270, 24595, 282, 6258, 868, 637, 476, 16, 988, 1230, 3729, 478, 21037, 2274, 40227, 861, 1787, 478, 301, 11415, 910, 13573, 13375, 349, 4378, 13440, 282, 2151, 877, 17793, 16, 3591, 10133, 309, 22607, 466, 2397, 1837, 22867, 6007, 18, 4320, 7193, 10467, 10399 ]
[ 324, 293, 513, 9225, 20462, 539, 3303, 4367, 1756, 16, 515, 31615, 282, 25941, 22366, 8933, 939, 43233, 18, 478, 1464, 293, 4607, 470, 322, 2458, 23301, 289, 4836, 2904, 282, 17527, 547, 8267, 1194, 12784, 42208, 10355, 7889, 18, 832, 4442, 5979, 2695, 1330, 289, 15014, 18, 41162, 16, 374, 1743, 3227, 18238, 3136, 23642, 537, 19090, 18, 478, 677, 6258, 868, 637, 476, 1494, 4525, 6281, 16, 515, 1800, 656, 3005, 16419, 309, 8955, 16, 376, 15875, 10399, 324, 293, 513, 12117, 4788, 478, 21037, 2274, 40595, 429, 861, 651, 27252, 320, 742, 24935, 309, 34565, 333, 1408, 16, 289, 1299, 639, 4525, 23361, 2237, 46194, 307, 15920, 23478, 861, 17896, 11502, 4466, 579, 23642, 478, 301, 11415, 470, 6088, 939, 35801, 18, 824, 4734, 10399, 324, 293, 513, 16, 749, 1763, 29576, 1593, 322, 2353, 16419, 309, 3455, 282, 38396, 17793, 18, 18154, 22322, 778, 3216, 16, 478, 1182, 2679, 40227, 910, 15464, 17527, 416, 10133, 282, 9176, 17610, 18, 832, 2564, 4366, 1360, 4676, 10434, 282, 1335, 9547, 8973, 11659, 1604, 15441, 18, 817, 453, 289, 322, 10587, 349, 5284, 6900, 2153, 34840, 41487, 7840, 16, 1341, 4934, 282, 44617, 28220, 18, 9300, 12954, 7342, 1175, 935, 322, 7757, 282, 17802, 309, 10133, 18, 3883, 23642, 478, 347, 18611, 470, 19432, 5875, 303, 16, 867, 322, 2619, 16, 5273, 9565, 564, 20194, 281, 11659, 1604, 465, 635, 2059, 411, 16146, 432, 9722, 309, 5462, 454, 20420, 8900, 18, 21561, 1593, 16, 1763, 29576, 11350, 17, 915, 1353, 3663, 478, 28345, 470, 1624, 478, 25626, 470, 289, 478, 1464, 24347, 4640, 354, 910, 37485, 27077, 7642, 18, 365, 9176, 17610, 575, 322, 687, 349, 965, 16, 515, 289, 349, 7975, 10431, 16480, 19712, 266, 450, 37659, 440, 1624, 13721, 1779, 8440, 526, 282, 5572, 44056, 18, 365, 29815, 516, 20665, 668, 6730, 7757, 478, 36796, 861, 4530, 29709, 35111, 38213, 4254, 289, 2687, 2854, 1314, 17025, 16180, 17793, 2295, 5131, 304, 411, 23455, 289, 8882, 390, 5967, 40599, 764, 289, 478, 27296, 343, 499, 861, 43240, 290, 970, 16, 374, 478, 21037, 2274, 40227, 470, 371, 24326, 364, 282, 6258, 868, 637, 476, 16, 478, 1394, 2541, 287, 548, 470, 7451, 309, 10133, 281, 478, 1140, 265, 1709, 304, 861, 385, 19864, 874, 870, 4966, 334, 35731, 289, 4359, 6629, 475, 3066, 16, 374, 8197, 11071, 538, 1251, 478, 45380, 470, 289, 478, 13467, 304, 470, 411, 391, 433, 4173, 18, 2681, 282, 3723, 707, 16485, 4119, 935, 2059, 12355, 8170, 323, 8361, 18, 40787, 536, 9075, 4964, 309, 3427, 294, 2966, 3707, 4757, 18570, 2596, 12917, 478, 36796, 470, 282, 5572, 44056, 1559, 290, 1496, 778, 774, 34544, 7362, 4579, 17, 1916, 2851, 440, 18, 365, 5329, 5040, 18569, 282, 415, 1496, 263, 19229, 32778, 15477, 16, 515, 12165, 7190, 1335, 2553, 282, 6588, 360, 9261, 7620, 7583, 7638, 17, 38915, 8103, 27955, 8394, 282, 18316, 3723, 707, 18, 824, 5833, 3538, 16, 282, 3437, 6175, 292, 4579, 17, 1916, 2851, 440, 48387, 12036, 1762, 3430, 1133, 23485, 394, 18, 7909, 492, 4176, 478, 1140, 265, 1709, 470, 1011, 42029, 25665, 30241, 9699, 292, 15044, 1624, 2512, 282, 8111, 10271, 326, 937, 8999, 7646, 40540, 1789, 354, 18, 415, 1496, 778, 774, 34544, 49987, 3064, 289, 309, 1177, 5335, 16, 367, 15655, 2235, 282, 17979, 450, 578, 1919, 450, 3323, 807, 5962, 309, 965, 17041, 14878, 727, 2711, 1960, 264, 18, 12167, 25309, 4579, 17, 1916, 2851, 440, 685, 1300, 1630, 368, 823, 1390, 726, 282, 3116, 9626, 808, 18, 44294, 7889, 478, 1140, 265, 14730, 470, 49987, 3064, 309, 5335, 3121, 450, 3323, 807, 281, 3437, 4995, 424, 34874, 888, 18, 2112, 21842, 290, 1496, 1133, 23336, 41235, 18, 4800, 34544, 478, 1140, 265, 14730, 470, 1858, 4176, 1423, 8616, 1011, 10687, 450, 3323, 807, 282, 32386, 6421, 18, 10609, 649, 4579, 17, 1916, 2851, 440, 3225, 1472, 10171, 307, 5680, 272, 9359, 272, 309, 15593, 17, 295, 20537, 18, 38232, 17, 49812, 478, 1098, 1972, 470, 29065, 709, 282, 35453, 10556, 668, 309, 26345, 301, 478, 21399, 354, 470, 289, 4167, 282, 23968, 808, 282, 42067, 2468, 18, 5181, 16, 282, 6404, 11178, 476, 16, 309, 374, 9117, 2766, 6985, 17771, 344, 4446, 411, 608, 265, 14730, 16, 515, 36165, 19703, 16144, 30, 282, 27408, 7638, 17, 326, 1484, 912, 4966, 16, 961, 16, 428, 289, 17345, 3056, 9261, 5781, 31629, 1581, 1161, 2630, 16, 309, 42719, 9524, 18, 4246, 4607, 1329, 322, 7863, 16, 478, 36796, 470, 9655, 282, 20545, 18, 5227, 1588, 583, 32271, 7646, 15343, 844, 435, 18, 832, 6661, 575, 4579, 17, 1916, 2851, 440, 349, 1209, 360, 554, 1954, 5, 478, 1140, 265, 1709, 470, 7609, 17285, 16, 1586, 3147, 3207, 1852, 774, 3643, 16, 515, 834, 32566, 294, 41037, 1634, 5671, 2794, 19335, 9359, 17559, 309, 478, 637, 1825, 582, 470, 986, 5171, 5289, 10403, 8657, 890, 282, 8999, 11216, 18, 19823, 520, 16410, 349, 2948, 2900, 37253, 5352, 37341, 373, 1209, 28654, 478, 1394, 2541, 287, 712, 910, 6895, 35111, 38213, 4254, 18, 2681, 309, 17911, 17, 295, 20537, 289, 4521, 33529, 3844, 2774, 18, 3428, 25851, 16, 428, 1747, 3111, 43775, 478, 1140, 265, 14730, 910, 7398, 452, 4416, 18, 17317, 44547, 282, 10556, 668, 20118, 47635, 15508, 3911, 22297, 3521, 315, 37103, 5289, 322, 588, 804, 292, 46659, 8657, 890, 18, 8919, 290, 42879, 17925, 764, 2693, 840, 8271, 9488, 1011, 5251, 2009, 2595, 11287, 309, 478, 9676, 5830, 15432, 10541, 2266, 861, 3492, 17, 299, 19566, 18639, 552, 411, 48678, 16, 1085, 17, 299, 651, 411, 40777, 43083, 883, 32462, 289, 45593, 478, 36578, 791, 382, 861, 1787, 478, 36796, 470, 575, 289, 282, 1177, 445, 475, 3227, 18238, 442, 1994, 589, 17, 2817, 3663, 18, 5890, 282, 21312, 14570, 808, 18447, 1510, 309, 25283, 34733, 660, 8117, 1396, 3521, 315, 37103, 281, 8954, 18, 35860, 283, 45582, 282, 33973, 877, 16, 515, 309, 15655, 9702, 5216, 685, 1789, 354, 18, 8071, 8814, 613, 6547, 6293, 6545, 9405, 3400, 30548, 16, 515, 13060, 4030, 12138, 14439, 5790, 16, 8660, 434, 774, 382, 2314, 411, 415, 5687, 18, 33736, 978, 289, 1888, 16287, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 27408, 7638, 17, 38915, 18, 2, 1, 87, 1456, 81, 2448, 30, 8706, 34489, 8621, 478, 32673, 339 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 324, 293, 513, 9225, 20462, 539, 3303, 4367, 1756, 16, 515, 31615, 282, 25941, 22366, 8933, 939, 43233, 18, 478, 1464, 293, 4607, 470, 322, 2458, 23301, 289, 4836, 2904, 282, 17527, 547, 8267, 1194, 12784, 42208, 10355, 7889, 18, 832, 4442, 5979, 2695, 1330, 289, 15014, 18, 41162, 16, 374, 1743, 3227, 18238, 3136, 23642, 537, 19090, 18, 478, 677, 6258, 868, 637, 476, 1494, 4525, 6281, 16, 515, 1800, 656, 3005, 16419, 309, 8955, 16, 376, 15875, 10399, 324, 293, 513, 12117, 4788, 478, 21037, 2274, 40595, 429, 861, 651, 27252, 320, 742, 24935, 309, 34565, 333, 1408, 16, 289, 1299, 639, 4525, 23361, 2237, 46194, 307, 15920, 23478, 861, 17896, 11502, 4466, 579, 23642, 478, 301, 11415, 470, 6088, 939, 35801, 18, 824, 4734, 10399, 324, 293, 513, 16, 749, 1763, 29576, 1593, 322, 2353, 16419, 309, 3455, 282, 38396, 17793, 18, 18154, 22322, 778, 3216, 16, 478, 1182, 2679, 40227, 910, 15464, 17527, 416, 10133, 282, 9176, 17610, 18, 832, 2564, 4366, 1360, 4676, 10434, 282, 1335, 9547, 8973, 11659, 1604, 15441, 18, 817, 453, 289, 322, 10587, 349, 5284, 6900, 2153, 34840, 41487, 7840, 16, 1341, 4934, 282, 44617, 28220, 18, 9300, 12954, 7342, 1175, 935, 322, 7757, 282, 17802, 309, 10133, 18, 3883, 23642, 478, 347, 18611, 470, 19432, 5875, 303, 16, 867, 322, 2619, 16, 5273, 9565, 564, 20194, 281, 11659, 1604, 465, 635, 2059, 411, 16146, 432, 9722, 309, 5462, 454, 20420, 8900, 18, 21561, 1593, 16, 1763, 29576, 11350, 17, 915, 1353, 3663, 478, 28345, 470, 1624, 478, 25626, 470, 289, 478, 1464, 24347, 4640, 354, 910, 37485, 27077, 7642, 18, 365, 9176, 17610, 575, 322, 687, 349, 965, 16, 515, 289, 349, 7975, 10431, 16480, 19712, 266, 450, 37659, 440, 1624, 13721, 1779, 8440, 526, 282, 5572, 44056, 18, 365, 29815, 516, 20665, 668, 6730, 7757, 478, 36796, 861, 4530, 29709, 35111, 38213, 4254, 289, 2687, 2854, 1314, 17025, 16180, 17793, 2295, 5131, 304, 411, 23455, 289, 8882, 390, 5967, 40599, 764, 289, 478, 27296, 343, 499, 861, 43240, 290, 970, 16, 374, 478, 21037, 2274, 40227, 470, 371, 24326, 364, 282, 6258, 868, 637, 476, 16, 478, 1394, 2541, 287, 548, 470, 7451, 309, 10133, 281, 478, 1140, 265, 1709, 304, 861, 385, 19864, 874, 870, 4966, 334, 35731, 289, 4359, 6629, 475, 3066, 16, 374, 8197, 11071, 538, 1251, 478, 45380, 470, 289, 478, 13467, 304, 470, 411, 391, 433, 4173, 18, 2681, 282, 3723, 707, 16485, 4119, 935, 2059, 12355, 8170, 323, 8361, 18, 40787, 536, 9075, 4964, 309, 3427, 294, 2966, 3707, 4757, 18570, 2596, 12917, 478, 36796, 470, 282, 5572, 44056, 1559, 290, 1496, 778, 774, 34544, 7362, 4579, 17, 1916, 2851, 440, 18, 365, 5329, 5040, 18569, 282, 415, 1496, 263, 19229, 32778, 15477, 16, 515, 12165, 7190, 1335, 2553, 282, 6588, 360, 9261, 7620, 7583, 7638, 17, 38915, 8103, 27955, 8394, 282, 18316, 3723, 707, 18, 824, 5833, 3538, 16, 282, 3437, 6175, 292, 4579, 17, 1916, 2851, 440, 48387, 12036, 1762, 3430, 1133, 23485, 394, 18, 7909, 492, 4176, 478, 1140, 265, 1709, 470, 1011, 42029, 25665, 30241, 9699, 292, 15044, 1624, 2512, 282, 8111, 10271, 326, 937, 8999, 7646, 40540, 1789, 354, 18, 415, 1496, 778, 774, 34544, 49987, 3064, 289, 309, 1177, 5335, 16, 367, 15655, 2235, 282, 17979, 450, 578, 1919, 450, 3323, 807, 5962, 309, 965, 17041, 14878, 727, 2711, 1960, 264, 18, 12167, 25309, 4579, 17, 1916, 2851, 440, 685, 1300, 1630, 368, 823, 1390, 726, 282, 3116, 9626, 808, 18, 44294, 7889, 478, 1140, 265, 14730, 470, 49987, 3064, 309, 5335, 3121, 450, 3323, 807, 281, 3437, 4995, 424, 34874, 888, 18, 2112, 21842, 290, 1496, 1133, 23336, 41235, 18, 4800, 34544, 478, 1140, 265, 14730, 470, 1858, 4176, 1423, 8616, 1011, 10687, 450, 3323, 807, 282, 32386, 6421, 18, 10609, 649, 4579, 17, 1916, 2851, 440, 3225, 1472, 10171, 307, 5680, 272, 9359, 272, 309, 15593, 17, 295, 20537, 18, 38232, 17, 49812, 478, 1098, 1972, 470, 29065, 709, 282, 35453, 10556, 668, 309, 26345, 301, 478, 21399, 354, 470, 289, 4167, 282, 23968, 808, 282, 42067, 2468, 18, 5181, 16, 282, 6404, 11178, 476, 16, 309, 374, 9117, 2766, 6985, 17771, 344, 4446, 411, 608, 265, 14730, 16, 515, 36165, 19703, 16144, 30, 282, 27408, 7638, 17, 326, 1484, 912, 4966, 16, 961, 16, 428, 289, 17345, 3056, 9261, 5781, 31629, 1581, 1161, 2630, 16, 309, 42719, 9524, 18, 4246, 4607, 1329, 322, 7863, 16, 478, 36796, 470, 9655, 282, 20545, 18, 5227, 1588, 583, 32271, 7646, 15343, 844, 435, 18, 832, 6661, 575, 4579, 17, 1916, 2851, 440, 349, 1209, 360, 554, 1954, 5, 478, 1140, 265, 1709, 470, 7609, 17285, 16, 1586, 3147, 3207, 1852, 774, 3643, 16, 515, 834, 32566, 294, 41037, 1634, 5671, 2794, 19335, 9359, 17559, 309, 478, 637, 1825, 582, 470, 986, 5171, 5289, 10403, 8657, 890, 282, 8999, 11216, 18, 19823, 520, 16410, 349, 2948, 2900, 37253, 5352, 37341, 373, 1209, 28654, 478, 1394, 2541, 287, 712, 910, 6895, 35111, 38213, 4254, 18, 2681, 309, 17911, 17, 295, 20537, 289, 4521, 33529, 3844, 2774, 18, 3428, 25851, 16, 428, 1747, 3111, 43775, 478, 1140, 265, 14730, 910, 7398, 452, 4416, 18, 17317, 44547, 282, 10556, 668, 20118, 47635, 15508, 3911, 22297, 3521, 315, 37103, 5289, 322, 588, 804, 292, 46659, 8657, 890, 18, 8919, 290, 42879, 17925, 764, 2693, 840, 8271, 9488, 1011, 5251, 2009, 2595, 11287, 309, 478, 9676, 5830, 15432, 10541, 2266, 861, 3492, 17, 299, 19566, 18639, 552, 411, 48678, 16, 1085, 17, 299, 651, 411, 40777, 43083, 883, 32462, 289, 45593, 478, 36578, 791, 382, 861, 1787, 478, 36796, 470, 575, 289, 282, 1177, 445, 475, 3227, 18238, 442, 1994, 589, 17, 2817, 3663, 18, 5890, 282, 21312, 14570, 808, 18447, 1510, 309, 25283, 34733, 660, 8117, 1396, 3521, 315, 37103, 281, 8954, 18, 35860, 283, 45582, 282, 33973, 877, 16, 515, 309, 15655, 9702, 5216, 685, 1789, 354, 18, 8071, 8814, 613, 6547, 6293, 6545, 9405, 3400, 30548, 16, 515, 13060, 4030, 12138, 14439, 5790, 16, 8660, 434, 774, 382, 2314, 411, 415, 5687, 18, 33736, 978, 289, 1888, 16287, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 27408, 7638, 17, 38915, 18, 2, 1, 87, 1456, 81, 2448, 30, 8706, 34489, 8621, 478, 32673, 339 ]
[ 1162, 351, 22249, 314, 746, 910, 1881, 2822, 2852, 16061, 1437, 309, 21901, 478, 49287, 910, 42998, 385, 2976, 320, 4434, 286, 282, 15116, 914, 1041, 4062, 292, 289, 22424, 1237, 292, 29295, 18, 33825, 1262, 10195, 44811, 49101, 26899, 14414, 7005, 15140, 16, 282, 3178, 2024, 639, 30434, 262, 1033, 3610, 1135, 18, 31224, 30, 6014, 1246, 451, 38796, 778, 20295, 42998, 385, 2976, 320, 4434, 286, 282, 22424, 4543, 289, 40603, 914, 1041, 4062, 292, 294, 18708, 966, 18, 403, 13265, 14728, 6498, 22062, 10195, 478, 23314, 80, 27951, 910, 961, 10258, 6687, 6839, 14781, 16, 302, 3431, 16853, 1033, 1912, 4776, 18, 1895, 11415, 16677, 653, 9973, 1033, 828, 3610, 1135, 16, 6895, 40888, 5164, 16, 961, 4419, 2002, 26003, 322, 46557, 290, 3177, 478, 19996, 464, 11019, 470, 477, 46773, 6632, 7774, 530, 2368, 18, 478, 6115, 2106, 427, 1279, 385, 2976, 665, 939, 3081, 318, 289, 13167, 318, 16, 510, 16144, 22062, 282, 7705, 18, 510, 7699, 411, 6342, 4486, 9994, 12002, 1299, 16, 374, 20295, 13600, 1737, 697, 16, 785, 745, 898, 764, 18708, 5681, 861, 1895, 11415, 16677, 1038, 15833, 16, 374, 30434, 448, 1749, 5684, 25375, 49089, 17336, 16, 282, 4729, 6160, 6042, 1527, 294, 32267, 289, 6480, 3707, 4092, 11504, 11242, 18, 9098, 46743, 14267, 44082, 282, 3560, 42497, 5171, 541, 18357, 2334, 385, 2976, 320, 2083, 510, 7150, 1248, 1119, 1011, 924, 16, 428, 505, 15728, 12030, 478, 32673, 339, 1162, 351, 22249, 314, 746, 470, 906, 49038, 8087, 309, 2852, 43427, 478, 49287, 910, 6895, 9814, 16445, 14137, 36315, 510, 478, 40593, 6793, 861, 385, 2976, 320, 322, 13016, 36548, 16, 453, 428, 685, 40394, 3366, 22064, 349, 1871, 5576, 519, 18890, 7934, 42326, 18, 430, 3972, 7847, 779, 20295, 322, 6181, 309, 10276, 10217, 14597, 16, 2382, 6954, 481, 19744, 477, 25517, 282, 505, 6598, 18, 2046, 726, 1032, 3972, 1939, 1418, 9598, 6955, 33409, 19352, 290, 28361, 4513, 20194, 18, 640, 1756, 18357, 2334, 685, 309, 10329, 26293, 1318, 727, 1123, 1477, 1624, 1029, 5072, 4165, 46063, 6771, 18, 2046, 16, 453, 428, 1033, 1949, 959, 4325, 9756, 898, 44709, 385, 2976, 4309, 16, 1717, 505, 3499, 639, 1221, 9368, 282, 27516, 2244, 282, 3106, 28757, 27470, 18, 13353, 21279, 28920, 282, 12996, 6059, 2917, 385, 2976, 320, 1623, 8348, 27470, 16, 1692, 5460, 773, 764, 282, 8151, 3802, 11826, 779, 16, 290, 970, 16, 374, 282, 23838, 1612, 282, 5792, 2879, 6863, 11891, 16, 48556, 4939, 536, 4434, 6710, 289, 4037, 433, 440, 4646, 13059, 6652, 536, 1263, 395, 334, 9942, 290, 9224, 4357, 19025, 265, 18, 817, 7735, 2815, 290, 1360, 30685, 617, 289, 18519, 322, 9611, 2222, 16, 374, 840, 282, 1420, 9921, 18, 385, 2976, 320, 1038, 2815, 16, 374, 11891, 8003, 484, 6348, 282, 18464, 5968, 11273, 14267, 16, 961, 726, 898, 37048, 21978, 6545, 18, 824, 43137, 27470, 16, 16188, 5628, 9843, 44141, 322, 1580, 11861, 16, 478, 44288, 2254, 1587, 16, 374, 745, 282, 11069, 505, 20484, 416, 1354, 861, 17811, 385, 2976, 665, 26975, 294, 33293, 47140, 1823, 3172, 16, 2486, 16, 294, 15695, 16, 453, 289, 322, 6489, 576, 537, 2059, 5628, 290, 25589, 298, 18, 1895, 24194, 287, 726, 21165, 4419, 4434, 2853, 282, 22424, 4543, 16, 2686, 10744, 935, 322, 4388, 925, 519, 24807, 43025, 18, 14373, 22204, 1279, 385, 2976, 665, 639, 20479, 299, 764, 282, 2801, 1045, 41041, 22004, 1683, 459, 1709, 304, 16, 1029, 22014, 16, 374, 282, 2343, 6374, 17, 292, 20295, 12983, 1195, 1498, 10984, 18802, 18, 45598, 16, 374, 459, 1709, 272, 3711, 19676, 965, 2887, 16, 453, 428, 15320, 9235, 613, 4223, 411, 1101, 411, 17, 431, 13029, 1443, 7080, 477, 2200, 35055, 18, 365, 15614, 6031, 10180, 2116, 583, 8251, 937, 8348, 16, 289, 1743, 685, 45457, 18, 365, 2604, 1045, 11116, 23488, 539, 8348, 360, 18473, 10676, 16, 515, 1551, 935, 322, 1559, 505, 13880, 18, 34761, 7847, 779, 15696, 2777, 6960, 6258, 17823, 17, 1009, 948, 1496, 12679, 281, 4434, 979, 385, 2976, 665, 282, 1804, 464, 22424, 1237, 282, 8311, 17, 277, 16, 785, 9235, 1159, 639, 2123, 986, 18, 23656, 27470, 20075, 4881, 2311, 16789, 8006, 289, 12002, 290, 44218, 617, 1101, 18, 1606, 1038, 31010, 2904, 309, 502, 16, 374, 11675, 496, 6258, 390, 507, 17, 1009, 948, 5687, 1623, 30478, 20158, 1496, 16, 1029, 14751, 459, 14730, 282, 2801, 17, 277, 289, 583, 575, 2512, 9473, 360, 16780, 1101, 18, 6682, 924, 16, 12374, 16, 374, 583, 20158, 1496, 16, 1029, 49795, 309, 8689, 14469, 289, 6048, 1949, 12468, 267, 282, 2463, 8474, 420, 18416, 268, 30058, 1624, 583, 685, 4434, 286, 282, 22424, 4543, 282, 10013, 1045, 18, 3557, 322, 2619, 16, 322, 24196, 20085, 2166, 4096, 16, 40609, 21985, 40235, 17638, 371, 14258, 10088, 13340, 34232, 1371, 11987, 519, 18890, 24807, 43025, 3499, 27470, 411, 18536, 30555, 289, 4092, 4318, 505, 6226, 309, 11069, 14459, 7194, 15008, 21985, 5006, 289, 23062, 18, 42998, 385, 2976, 320, 1559, 46773, 282, 11097, 1045, 1011, 8421, 309, 38500, 8621, 478, 7148, 389, 3380, 448, 3247, 470, 1624, 1029, 3619, 1871, 11898, 478, 49287, 470, 349, 10793, 21113, 289, 24235, 1292, 2127, 4119, 6740, 12375, 473, 42255, 4246, 355, 440, 17014, 817, 1038, 1623, 1650, 5772, 4889, 19407, 460, 936, 396, 37873, 459, 3646, 16, 282, 4301, 1754, 11368, 2846, 8621, 18, 385, 2976, 320, 8731, 3084, 994, 309, 38246, 16, 497, 679, 306, 440, 13850, 1176, 411, 10235, 442, 7219, 2992, 11678, 478, 392, 34273, 470, 510, 29069, 478, 34647, 5835, 948, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 47408, 15992, 16835, 36334, 478, 1140, 273, 331, 2357, 35746, 659, 323, 470, 510, 16708, 34485, 4397, 13997, 17, 26960, 462, 399, 4809, 262, 9327, 21477, 334, 46955, 48678, 289, 309, 12667, 1034, 4476, 3930, 4254, 411, 12110, 15474, 18, 31224, 30, 1916, 446, 1554, 40565, 35830, 17, 13802, 435, 13997, 17, 26960, 462, 399, 4809, 262, 19346, 282, 47408, 15992, 32542, 7638, 272, 651, 282, 36334, 3442, 8991, 2197, 411, 3322, 14672, 341, 27905, 7113, 17675, 48678, 510, 478, 1140, 273, 331, 2357, 35746, 659, 323, 861, 768, 4642, 4397, 16, 4101, 5525, 986, 9564, 45808, 49005, 687, 541, 1360, 8487, 1923, 473, 275, 2393, 4046, 394, 2245, 2919, 24153, 934, 3404, 24219, 541, 24168, 651, 367, 12540, 26617 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1162, 351, 22249, 314, 746, 910, 1881, 2822, 2852, 16061, 1437, 309, 21901, 478, 49287, 910, 42998, 385, 2976, 320, 4434, 286, 282, 15116, 914, 1041, 4062, 292, 289, 22424, 1237, 292, 29295, 18, 33825, 1262, 10195, 44811, 49101, 26899, 14414, 7005, 15140, 16, 282, 3178, 2024, 639, 30434, 262, 1033, 3610, 1135, 18, 31224, 30, 6014, 1246, 451, 38796, 778, 20295, 42998, 385, 2976, 320, 4434, 286, 282, 22424, 4543, 289, 40603, 914, 1041, 4062, 292, 294, 18708, 966, 18, 403, 13265, 14728, 6498, 22062, 10195, 478, 23314, 80, 27951, 910, 961, 10258, 6687, 6839, 14781, 16, 302, 3431, 16853, 1033, 1912, 4776, 18, 1895, 11415, 16677, 653, 9973, 1033, 828, 3610, 1135, 16, 6895, 40888, 5164, 16, 961, 4419, 2002, 26003, 322, 46557, 290, 3177, 478, 19996, 464, 11019, 470, 477, 46773, 6632, 7774, 530, 2368, 18, 478, 6115, 2106, 427, 1279, 385, 2976, 665, 939, 3081, 318, 289, 13167, 318, 16, 510, 16144, 22062, 282, 7705, 18, 510, 7699, 411, 6342, 4486, 9994, 12002, 1299, 16, 374, 20295, 13600, 1737, 697, 16, 785, 745, 898, 764, 18708, 5681, 861, 1895, 11415, 16677, 1038, 15833, 16, 374, 30434, 448, 1749, 5684, 25375, 49089, 17336, 16, 282, 4729, 6160, 6042, 1527, 294, 32267, 289, 6480, 3707, 4092, 11504, 11242, 18, 9098, 46743, 14267, 44082, 282, 3560, 42497, 5171, 541, 18357, 2334, 385, 2976, 320, 2083, 510, 7150, 1248, 1119, 1011, 924, 16, 428, 505, 15728, 12030, 478, 32673, 339, 1162, 351, 22249, 314, 746, 470, 906, 49038, 8087, 309, 2852, 43427, 478, 49287, 910, 6895, 9814, 16445, 14137, 36315, 510, 478, 40593, 6793, 861, 385, 2976, 320, 322, 13016, 36548, 16, 453, 428, 685, 40394, 3366, 22064, 349, 1871, 5576, 519, 18890, 7934, 42326, 18, 430, 3972, 7847, 779, 20295, 322, 6181, 309, 10276, 10217, 14597, 16, 2382, 6954, 481, 19744, 477, 25517, 282, 505, 6598, 18, 2046, 726, 1032, 3972, 1939, 1418, 9598, 6955, 33409, 19352, 290, 28361, 4513, 20194, 18, 640, 1756, 18357, 2334, 685, 309, 10329, 26293, 1318, 727, 1123, 1477, 1624, 1029, 5072, 4165, 46063, 6771, 18, 2046, 16, 453, 428, 1033, 1949, 959, 4325, 9756, 898, 44709, 385, 2976, 4309, 16, 1717, 505, 3499, 639, 1221, 9368, 282, 27516, 2244, 282, 3106, 28757, 27470, 18, 13353, 21279, 28920, 282, 12996, 6059, 2917, 385, 2976, 320, 1623, 8348, 27470, 16, 1692, 5460, 773, 764, 282, 8151, 3802, 11826, 779, 16, 290, 970, 16, 374, 282, 23838, 1612, 282, 5792, 2879, 6863, 11891, 16, 48556, 4939, 536, 4434, 6710, 289, 4037, 433, 440, 4646, 13059, 6652, 536, 1263, 395, 334, 9942, 290, 9224, 4357, 19025, 265, 18, 817, 7735, 2815, 290, 1360, 30685, 617, 289, 18519, 322, 9611, 2222, 16, 374, 840, 282, 1420, 9921, 18, 385, 2976, 320, 1038, 2815, 16, 374, 11891, 8003, 484, 6348, 282, 18464, 5968, 11273, 14267, 16, 961, 726, 898, 37048, 21978, 6545, 18, 824, 43137, 27470, 16, 16188, 5628, 9843, 44141, 322, 1580, 11861, 16, 478, 44288, 2254, 1587, 16, 374, 745, 282, 11069, 505, 20484, 416, 1354, 861, 17811, 385, 2976, 665, 26975, 294, 33293, 47140, 1823, 3172, 16, 2486, 16, 294, 15695, 16, 453, 289, 322, 6489, 576, 537, 2059, 5628, 290, 25589, 298, 18, 1895, 24194, 287, 726, 21165, 4419, 4434, 2853, 282, 22424, 4543, 16, 2686, 10744, 935, 322, 4388, 925, 519, 24807, 43025, 18, 14373, 22204, 1279, 385, 2976, 665, 639, 20479, 299, 764, 282, 2801, 1045, 41041, 22004, 1683, 459, 1709, 304, 16, 1029, 22014, 16, 374, 282, 2343, 6374, 17, 292, 20295, 12983, 1195, 1498, 10984, 18802, 18, 45598, 16, 374, 459, 1709, 272, 3711, 19676, 965, 2887, 16, 453, 428, 15320, 9235, 613, 4223, 411, 1101, 411, 17, 431, 13029, 1443, 7080, 477, 2200, 35055, 18, 365, 15614, 6031, 10180, 2116, 583, 8251, 937, 8348, 16, 289, 1743, 685, 45457, 18, 365, 2604, 1045, 11116, 23488, 539, 8348, 360, 18473, 10676, 16, 515, 1551, 935, 322, 1559, 505, 13880, 18, 34761, 7847, 779, 15696, 2777, 6960, 6258, 17823, 17, 1009, 948, 1496, 12679, 281, 4434, 979, 385, 2976, 665, 282, 1804, 464, 22424, 1237, 282, 8311, 17, 277, 16, 785, 9235, 1159, 639, 2123, 986, 18, 23656, 27470, 20075, 4881, 2311, 16789, 8006, 289, 12002, 290, 44218, 617, 1101, 18, 1606, 1038, 31010, 2904, 309, 502, 16, 374, 11675, 496, 6258, 390, 507, 17, 1009, 948, 5687, 1623, 30478, 20158, 1496, 16, 1029, 14751, 459, 14730, 282, 2801, 17, 277, 289, 583, 575, 2512, 9473, 360, 16780, 1101, 18, 6682, 924, 16, 12374, 16, 374, 583, 20158, 1496, 16, 1029, 49795, 309, 8689, 14469, 289, 6048, 1949, 12468, 267, 282, 2463, 8474, 420, 18416, 268, 30058, 1624, 583, 685, 4434, 286, 282, 22424, 4543, 282, 10013, 1045, 18, 3557, 322, 2619, 16, 322, 24196, 20085, 2166, 4096, 16, 40609, 21985, 40235, 17638, 371, 14258, 10088, 13340, 34232, 1371, 11987, 519, 18890, 24807, 43025, 3499, 27470, 411, 18536, 30555, 289, 4092, 4318, 505, 6226, 309, 11069, 14459, 7194, 15008, 21985, 5006, 289, 23062, 18, 42998, 385, 2976, 320, 1559, 46773, 282, 11097, 1045, 1011, 8421, 309, 38500, 8621, 478, 7148, 389, 3380, 448, 3247, 470, 1624, 1029, 3619, 1871, 11898, 478, 49287, 470, 349, 10793, 21113, 289, 24235, 1292, 2127, 4119, 6740, 12375, 473, 42255, 4246, 355, 440, 17014, 817, 1038, 1623, 1650, 5772, 4889, 19407, 460, 936, 396, 37873, 459, 3646, 16, 282, 4301, 1754, 11368, 2846, 8621, 18, 385, 2976, 320, 8731, 3084, 994, 309, 38246, 16, 497, 679, 306, 440, 13850, 1176, 411, 10235, 442, 7219, 2992, 11678, 478, 392, 34273, 470, 510, 29069, 478, 34647, 5835, 948, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 47408, 15992, 16835, 36334, 478, 1140, 273, 331, 2357, 35746, 659, 323, 470, 510, 16708, 34485, 4397, 13997, 17, 26960, 462, 399, 4809, 262, 9327, 21477, 334, 46955, 48678, 289, 309, 12667, 1034, 4476, 3930, 4254, 411, 12110, 15474, 18, 31224, 30, 1916, 446, 1554, 40565, 35830, 17, 13802, 435, 13997, 17, 26960, 462, 399, 4809, 262, 19346, 282, 47408, 15992, 32542, 7638, 272, 651, 282, 36334, 3442, 8991, 2197, 411, 3322, 14672, 341, 27905, 7113, 17675, 48678, 510, 478, 1140, 273, 331, 2357, 35746, 659, 323, 861, 768, 4642, 4397, 16, 4101, 5525, 986, 9564, 45808, 49005, 687, 541, 1360, 8487, 1923, 473, 275, 2393, 4046, 394, 2245, 2919, 24153, 934, 3404, 24219, 541, 24168, 651, 367, 12540, 26617 ]
[ 21377, 281, 5015, 3317, 1034, 4476, 3930, 4254, 16, 753, 518, 36897, 36258, 282, 11267, 1128, 20196, 411, 12475, 16, 2588, 35163, 9564, 1738, 541, 4889, 18, 1598, 15250, 285, 6964, 31931, 1441, 29544, 7585, 46647, 16, 17921, 43628, 6046, 954, 334, 6793, 395, 30, 478, 630, 833, 910, 478, 21885, 910, 478, 672, 1395, 8301, 470, 289, 478, 36735, 2080, 48426, 26942, 510, 367, 1038, 478, 36382, 465, 290, 1324, 4267, 470, 6166, 34865, 7949, 35512, 14096, 323, 470, 5102, 309, 13297, 575, 40587, 281, 8980, 37675, 941, 1596, 16, 8072, 27230, 289, 445, 3788, 14308, 448, 279, 9338, 18, 4809, 262, 16, 7860, 3359, 738, 10812, 416, 3816, 761, 22715, 405, 16, 21980, 567, 374, 373, 502, 537, 2438, 322, 16215, 649, 35643, 651, 289, 25349, 6908, 14620, 49064, 1791, 18, 1735, 428, 1314, 34143, 874, 11618, 478, 1140, 273, 331, 2005, 35746, 659, 323, 910, 988, 16, 8647, 16, 15127, 7865, 651, 27135, 1381, 8831, 282, 7093, 1385, 5373, 420, 6870, 16, 1450, 575, 3453, 20143, 35, 14467, 429, 6180, 9440, 1952, 22275, 467, 5430, 16, 502, 19769, 578, 2728, 8183, 16638, 282, 33041, 3931, 6166, 288, 21134, 16, 28897, 290, 40636, 651, 3136, 1215, 453, 1655, 1749, 5440, 12235, 502, 7735, 2382, 2636, 23908, 1241, 11319, 318, 289, 27423, 283, 5663, 12246, 758, 941, 3979, 2435, 2117, 353, 18, 4809, 262, 575, 322, 8123, 45264, 30622, 6059, 651, 492, 1139, 38524, 16311, 1241, 11319, 392, 31684, 13603, 282, 27423, 283, 5663, 473, 404, 939, 6218, 2006, 934, 367, 2512, 282, 9258, 1815, 2083, 18491, 505, 309, 9030, 1188, 10092, 473, 1062, 282, 10209, 322, 5736, 953, 329, 48678, 814, 39497, 333, 6945, 21477, 17231, 26372, 1217, 9730, 496, 31, 519, 1047, 309, 13297, 3638, 2154, 46348, 670, 935, 8896, 267, 16, 1011, 651, 520, 4811, 281, 3887, 1734, 27672, 24225, 18, 365, 3998, 43945, 473, 15726, 4035, 14716, 401, 41996, 2089, 4119, 282, 3678, 281, 4084, 355, 2215, 6964, 6778, 281, 39774, 10116, 5779, 6600, 2576, 48262, 34730, 873, 510, 1139, 7312, 6736, 14621, 16249, 651, 289, 2552, 10047, 334, 17315, 18, 3739, 678, 33019, 12693, 13828, 510, 1715, 428, 282, 28489, 290, 11310, 292, 294, 30637, 17, 6546, 30, 282, 3441, 8427, 12043, 14384, 4024, 16, 282, 20336, 651, 281, 867, 575, 20057, 304, 2158, 16, 1272, 6763, 2020, 15697, 18, 459, 9064, 309, 16203, 281, 30283, 1757, 19496, 620, 23637, 2314, 18, 27423, 283, 5663, 575, 20658, 341, 965, 282, 7764, 428, 25596, 755, 329, 16230, 434, 359, 5203, 343, 289, 31167, 14931, 1633, 4846, 34514, 5768, 16, 1595, 6731, 1472, 4181, 2078, 1560, 22649, 31, 25065, 20509, 1282, 712, 282, 1335, 5703, 42931, 1114, 2887, 965, 651, 4525, 639, 4897, 3208, 2514, 24410, 466, 964, 20959, 282, 803, 5018, 312, 476, 15803, 640, 28836, 342, 281, 47927, 824, 298, 928, 12248, 31, 367, 1215, 5358, 12640, 567, 2992, 1119, 8548, 1508, 9762, 888, 282, 3217, 575, 4996, 10726, 1920, 322, 3225, 651, 411, 505, 27423, 283, 5663, 475, 4470, 10955, 8072, 413, 31077, 29624, 451, 6057, 18, 4922, 37160, 282, 5572, 41852, 349, 1829, 2754, 651, 515, 2406, 9307, 764, 5502, 7004, 432, 21208, 18, 1397, 1089, 321, 2232, 34730, 613, 504, 11015, 343, 473, 7298, 35831, 17, 7298, 35831, 282, 17979, 29760, 19154, 16875, 1472, 282, 23376, 34772, 4004, 16, 428, 373, 7280, 2657, 7892, 21653, 281, 31280, 282, 22765, 4143, 1728, 322, 2619, 4117, 434, 18413, 7194, 31, 282, 22515, 575, 17382, 2047, 2326, 6237, 2882, 1833, 5416, 16, 374, 1871, 34730, 1645, 2236, 4629, 30769, 16, 1139, 5444, 1712, 2734, 17, 9886, 23193, 11573, 1812, 934, 374, 2066, 343, 16, 21354, 1465, 19382, 1190, 32540, 289, 35139, 9930, 2236, 411, 38131, 18366, 16249, 16, 374, 45581, 8490, 16, 13700, 354, 404, 1779, 360, 1634, 2028, 770, 519, 3209, 16, 374, 33721, 6600, 2576, 651, 13880, 281, 8980, 942, 4286, 18, 439, 567, 7422, 41852, 26244, 3854, 289, 27423, 283, 5663, 12378, 21104, 18, 2787, 912, 16, 2091, 16, 349, 7481, 2535, 473, 2603, 282, 1335, 13297, 20442, 467, 3157, 13, 24401, 4716, 2710, 17, 299, 16373, 34210, 473, 1567, 2429, 448, 15390, 1157, 16, 360, 14719, 1639, 27423, 283, 5663, 840, 15707, 1241, 11319, 392, 934, 37498, 17296, 11475, 2285, 17054, 43803, 27178, 16, 510, 515, 19211, 15447, 41713, 687, 541, 10235, 14582, 18, 385, 321, 1007, 6236, 18062, 970, 917, 289, 3097, 2840, 15257, 4510, 16, 1142, 5537, 40856, 289, 7549, 1378, 424, 868, 10484, 473, 275, 1176, 411, 25592, 44952, 4961, 29387, 316, 962, 31672, 16, 785, 678, 32560, 271, 455, 505, 2507, 814, 385, 321, 1007, 25880, 651, 36288, 16, 2282, 19285, 16, 19522, 510, 371, 970, 16, 374, 11175, 16837, 11368, 22052, 16, 7045, 2432, 1957, 382, 309, 9901, 7168, 29916, 7309, 18, 459, 1215, 11112, 282, 1177, 2083, 16, 785, 20366, 46523, 2234, 1948, 280, 3642, 289, 29007, 14440, 5556, 510, 590, 7621, 3359, 33589, 12915, 21477, 25349, 360, 1129, 289, 29512, 305, 5667, 289, 26214, 7487, 6731, 18939, 18, 4809, 262, 16, 3073, 16, 537, 309, 5728, 322, 757, 10408, 290, 970, 16, 374, 4452, 282, 2059, 411, 10235, 43987, 8487, 293, 2422, 289, 294, 1360, 41506, 19722, 761, 16, 6376, 2607, 16, 30113, 274, 4422, 34113, 582, 5692, 8585, 12025, 389, 432, 17939, 523, 18, 7793, 745, 898, 294, 10009, 16, 3891, 39704, 751, 27327, 9666, 761, 473, 10148, 22850, 309, 31671, 15447, 1176, 411, 5237, 919, 3494, 6600, 2576, 16, 349, 24211, 5085, 3084, 1001, 344, 5353, 651, 289, 1858, 4052, 13, 651, 515, 7183, 4609, 332, 4307, 289, 3579, 564, 36334, 5983, 5967, 7622, 3380, 758, 34921, 31208, 18, 478, 1140, 273, 331, 2357, 910, 13302, 16, 15162, 651, 289, 282, 47408, 1441, 912, 17879, 289, 25327, 4797, 21477, 18, 439, 281, 1573, 273, 11452, 483, 3334, 19744, 4410, 45942, 11441, 7376, 2152, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 29464, 11764, 470, 289, 32852, 18, 1572, 13949, 33100, 887, 1715, 290, 21937, 36661, 49234, 510, 309, 17530, 9, 289, 13531, 16, 29, 9, 8774, 18, 740, 8296, 478, 29464, 6852, 507, 470, 381, 1166, 751, 309, 8011, 7019, 36350, 17534, 2241, 17, 2499, 454, 987, 354, 18, 20409, 33843, 12503, 360, 478, 29464, 6852, 507, 470, 1033, 21791, 7019, 9811, 16, 515, 2241, 6110, 16319, 2764, 309, 20775, 411, 17, 431, 32940, 281, 10366, 547, 10982 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21377, 281, 5015, 3317, 1034, 4476, 3930, 4254, 16, 753, 518, 36897, 36258, 282, 11267, 1128, 20196, 411, 12475, 16, 2588, 35163, 9564, 1738, 541, 4889, 18, 1598, 15250, 285, 6964, 31931, 1441, 29544, 7585, 46647, 16, 17921, 43628, 6046, 954, 334, 6793, 395, 30, 478, 630, 833, 910, 478, 21885, 910, 478, 672, 1395, 8301, 470, 289, 478, 36735, 2080, 48426, 26942, 510, 367, 1038, 478, 36382, 465, 290, 1324, 4267, 470, 6166, 34865, 7949, 35512, 14096, 323, 470, 5102, 309, 13297, 575, 40587, 281, 8980, 37675, 941, 1596, 16, 8072, 27230, 289, 445, 3788, 14308, 448, 279, 9338, 18, 4809, 262, 16, 7860, 3359, 738, 10812, 416, 3816, 761, 22715, 405, 16, 21980, 567, 374, 373, 502, 537, 2438, 322, 16215, 649, 35643, 651, 289, 25349, 6908, 14620, 49064, 1791, 18, 1735, 428, 1314, 34143, 874, 11618, 478, 1140, 273, 331, 2005, 35746, 659, 323, 910, 988, 16, 8647, 16, 15127, 7865, 651, 27135, 1381, 8831, 282, 7093, 1385, 5373, 420, 6870, 16, 1450, 575, 3453, 20143, 35, 14467, 429, 6180, 9440, 1952, 22275, 467, 5430, 16, 502, 19769, 578, 2728, 8183, 16638, 282, 33041, 3931, 6166, 288, 21134, 16, 28897, 290, 40636, 651, 3136, 1215, 453, 1655, 1749, 5440, 12235, 502, 7735, 2382, 2636, 23908, 1241, 11319, 318, 289, 27423, 283, 5663, 12246, 758, 941, 3979, 2435, 2117, 353, 18, 4809, 262, 575, 322, 8123, 45264, 30622, 6059, 651, 492, 1139, 38524, 16311, 1241, 11319, 392, 31684, 13603, 282, 27423, 283, 5663, 473, 404, 939, 6218, 2006, 934, 367, 2512, 282, 9258, 1815, 2083, 18491, 505, 309, 9030, 1188, 10092, 473, 1062, 282, 10209, 322, 5736, 953, 329, 48678, 814, 39497, 333, 6945, 21477, 17231, 26372, 1217, 9730, 496, 31, 519, 1047, 309, 13297, 3638, 2154, 46348, 670, 935, 8896, 267, 16, 1011, 651, 520, 4811, 281, 3887, 1734, 27672, 24225, 18, 365, 3998, 43945, 473, 15726, 4035, 14716, 401, 41996, 2089, 4119, 282, 3678, 281, 4084, 355, 2215, 6964, 6778, 281, 39774, 10116, 5779, 6600, 2576, 48262, 34730, 873, 510, 1139, 7312, 6736, 14621, 16249, 651, 289, 2552, 10047, 334, 17315, 18, 3739, 678, 33019, 12693, 13828, 510, 1715, 428, 282, 28489, 290, 11310, 292, 294, 30637, 17, 6546, 30, 282, 3441, 8427, 12043, 14384, 4024, 16, 282, 20336, 651, 281, 867, 575, 20057, 304, 2158, 16, 1272, 6763, 2020, 15697, 18, 459, 9064, 309, 16203, 281, 30283, 1757, 19496, 620, 23637, 2314, 18, 27423, 283, 5663, 575, 20658, 341, 965, 282, 7764, 428, 25596, 755, 329, 16230, 434, 359, 5203, 343, 289, 31167, 14931, 1633, 4846, 34514, 5768, 16, 1595, 6731, 1472, 4181, 2078, 1560, 22649, 31, 25065, 20509, 1282, 712, 282, 1335, 5703, 42931, 1114, 2887, 965, 651, 4525, 639, 4897, 3208, 2514, 24410, 466, 964, 20959, 282, 803, 5018, 312, 476, 15803, 640, 28836, 342, 281, 47927, 824, 298, 928, 12248, 31, 367, 1215, 5358, 12640, 567, 2992, 1119, 8548, 1508, 9762, 888, 282, 3217, 575, 4996, 10726, 1920, 322, 3225, 651, 411, 505, 27423, 283, 5663, 475, 4470, 10955, 8072, 413, 31077, 29624, 451, 6057, 18, 4922, 37160, 282, 5572, 41852, 349, 1829, 2754, 651, 515, 2406, 9307, 764, 5502, 7004, 432, 21208, 18, 1397, 1089, 321, 2232, 34730, 613, 504, 11015, 343, 473, 7298, 35831, 17, 7298, 35831, 282, 17979, 29760, 19154, 16875, 1472, 282, 23376, 34772, 4004, 16, 428, 373, 7280, 2657, 7892, 21653, 281, 31280, 282, 22765, 4143, 1728, 322, 2619, 4117, 434, 18413, 7194, 31, 282, 22515, 575, 17382, 2047, 2326, 6237, 2882, 1833, 5416, 16, 374, 1871, 34730, 1645, 2236, 4629, 30769, 16, 1139, 5444, 1712, 2734, 17, 9886, 23193, 11573, 1812, 934, 374, 2066, 343, 16, 21354, 1465, 19382, 1190, 32540, 289, 35139, 9930, 2236, 411, 38131, 18366, 16249, 16, 374, 45581, 8490, 16, 13700, 354, 404, 1779, 360, 1634, 2028, 770, 519, 3209, 16, 374, 33721, 6600, 2576, 651, 13880, 281, 8980, 942, 4286, 18, 439, 567, 7422, 41852, 26244, 3854, 289, 27423, 283, 5663, 12378, 21104, 18, 2787, 912, 16, 2091, 16, 349, 7481, 2535, 473, 2603, 282, 1335, 13297, 20442, 467, 3157, 13, 24401, 4716, 2710, 17, 299, 16373, 34210, 473, 1567, 2429, 448, 15390, 1157, 16, 360, 14719, 1639, 27423, 283, 5663, 840, 15707, 1241, 11319, 392, 934, 37498, 17296, 11475, 2285, 17054, 43803, 27178, 16, 510, 515, 19211, 15447, 41713, 687, 541, 10235, 14582, 18, 385, 321, 1007, 6236, 18062, 970, 917, 289, 3097, 2840, 15257, 4510, 16, 1142, 5537, 40856, 289, 7549, 1378, 424, 868, 10484, 473, 275, 1176, 411, 25592, 44952, 4961, 29387, 316, 962, 31672, 16, 785, 678, 32560, 271, 455, 505, 2507, 814, 385, 321, 1007, 25880, 651, 36288, 16, 2282, 19285, 16, 19522, 510, 371, 970, 16, 374, 11175, 16837, 11368, 22052, 16, 7045, 2432, 1957, 382, 309, 9901, 7168, 29916, 7309, 18, 459, 1215, 11112, 282, 1177, 2083, 16, 785, 20366, 46523, 2234, 1948, 280, 3642, 289, 29007, 14440, 5556, 510, 590, 7621, 3359, 33589, 12915, 21477, 25349, 360, 1129, 289, 29512, 305, 5667, 289, 26214, 7487, 6731, 18939, 18, 4809, 262, 16, 3073, 16, 537, 309, 5728, 322, 757, 10408, 290, 970, 16, 374, 4452, 282, 2059, 411, 10235, 43987, 8487, 293, 2422, 289, 294, 1360, 41506, 19722, 761, 16, 6376, 2607, 16, 30113, 274, 4422, 34113, 582, 5692, 8585, 12025, 389, 432, 17939, 523, 18, 7793, 745, 898, 294, 10009, 16, 3891, 39704, 751, 27327, 9666, 761, 473, 10148, 22850, 309, 31671, 15447, 1176, 411, 5237, 919, 3494, 6600, 2576, 16, 349, 24211, 5085, 3084, 1001, 344, 5353, 651, 289, 1858, 4052, 13, 651, 515, 7183, 4609, 332, 4307, 289, 3579, 564, 36334, 5983, 5967, 7622, 3380, 758, 34921, 31208, 18, 478, 1140, 273, 331, 2357, 910, 13302, 16, 15162, 651, 289, 282, 47408, 1441, 912, 17879, 289, 25327, 4797, 21477, 18, 439, 281, 1573, 273, 11452, 483, 3334, 19744, 4410, 45942, 11441, 7376, 2152, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 29464, 11764, 470, 289, 32852, 18, 1572, 13949, 33100, 887, 1715, 290, 21937, 36661, 49234, 510, 309, 17530, 9, 289, 13531, 16, 29, 9, 8774, 18, 740, 8296, 478, 29464, 6852, 507, 470, 381, 1166, 751, 309, 8011, 7019, 36350, 17534, 2241, 17, 2499, 454, 987, 354, 18, 20409, 33843, 12503, 360, 478, 29464, 6852, 507, 470, 1033, 21791, 7019, 9811, 16, 515, 2241, 6110, 16319, 2764, 309, 20775, 411, 17, 431, 32940, 281, 10366, 547, 10982 ]
[ 18, 31224, 30, 9284, 1344, 17, 3975, 5934, 783, 478, 29464, 11764, 470, 282, 5572, 19936, 4018, 779, 2957, 5481, 49253, 309, 17530, 9, 334, 7413, 281, 41050, 32973, 6705, 779, 16, 519, 1061, 16, 29, 5096, 2791, 47568, 4003, 16, 23, 3763, 814, 17645, 9383, 11726, 36701, 309, 3703, 7418, 519, 430, 16, 26, 5096, 2791, 47568, 11629, 16, 22, 3763, 814, 10462, 5596, 11726, 1038, 48593, 510, 309, 17736, 7418, 519, 430, 16, 23, 5096, 2791, 47568, 9869, 16, 29, 3763, 814, 472, 36124, 622, 334, 32410, 9811, 14231, 4016, 16, 25, 7418, 334, 15891, 9811, 510, 3695, 16, 24, 5999, 2667, 23906, 360, 13185, 20299, 309, 17530, 9, 510, 309, 4039, 9, 334, 1962, 509, 416, 31170, 289, 309, 17736, 9, 334, 13294, 1100, 18, 478, 29464, 11764, 470, 2957, 3389, 41535, 16, 19465, 289, 49402, 11608, 282, 5572, 19936, 309, 5953, 7418, 281, 1286, 6862, 3763, 2791, 519, 430, 5096, 2791, 18, 365, 2241, 15634, 14600, 42538, 6591, 17356, 40217, 411, 868, 10484, 309, 9337, 35193, 678, 1927, 16, 367, 1038, 18183, 14600, 309, 20775, 18455, 3245, 289, 505, 34107, 289, 309, 17123, 45687, 289, 24227, 40368, 25708, 18, 824, 3761, 33402, 3680, 27583, 16, 14702, 18455, 3245, 478, 29464, 11764, 470, 282, 5572, 19936, 4018, 779, 14231, 282, 11099, 19670, 16, 24, 5999, 16394, 45556, 2294, 6245, 48879, 2123, 29, 2634, 16, 374, 309, 816, 9, 1143, 16, 828, 282, 33762, 19936, 4440, 779, 18, 33350, 572, 12445, 1809, 9811, 4167, 4803, 10940, 291, 46357, 16, 36379, 478, 15210, 304, 470, 3715, 745, 12503, 15634, 12445, 1809, 9811, 309, 23088, 7418, 519, 430, 16, 9348, 5096, 2791, 18, 365, 5344, 13412, 13155, 6171, 360, 5874, 1385, 445, 2543, 282, 9802, 46033, 3763, 2791, 16, 4437, 10531, 34450, 478, 28516, 440, 807, 861, 20409, 30506, 478, 677, 22254, 17, 6207, 1748, 455, 470, 25486, 1367, 809, 401, 18590, 16174, 478, 29464, 6852, 507, 470, 18183, 26928, 16, 17044, 289, 26235, 14600, 282, 5572, 19936, 16, 961, 5823, 6353, 3230, 10940, 291, 478, 677, 22254, 17, 6207, 1748, 455, 861, 478, 677, 4440, 1045, 10982, 309, 19862, 5814, 32819, 8511, 668, 30183, 18, 365, 4301, 30149, 1489, 24786, 281, 22647, 18455, 22859, 478, 29464, 11764, 470, 282, 3998, 779, 3508, 26944, 13839, 30183, 541, 20970, 36580, 1634, 5117, 16, 510, 10050, 678, 18, 510, 889, 13748, 16, 281, 2059, 1963, 16, 294, 2222, 16, 374, 14702, 14141, 478, 29464, 6852, 507, 470, 282, 11500, 48154, 17305, 16, 515, 16, 281, 2107, 1963, 16, 294, 6261, 954, 1664, 21376, 6239, 1205, 294, 1045, 861, 1787, 478, 29464, 6852, 507, 470, 575, 4748, 4751, 1078, 10982, 16, 2548, 17397, 450, 538, 873, 268, 411, 478, 1182, 884, 429, 861, 33350, 572, 45205, 617, 13029, 14572, 411, 17, 431, 1307, 267, 17, 429, 313, 31654, 2204, 4568, 17356, 16, 10050, 41330, 1075, 25917, 16, 10912, 5436, 1180, 514, 12683, 1019, 6690, 29800, 439, 11914, 306, 1043, 18, 478, 16385, 481, 322, 48281, 16, 515, 289, 583, 478, 29464, 11764, 470, 18604, 3064, 334, 8872, 779, 1033, 3826, 1453, 38185, 3281, 910, 510, 11792, 678, 18, 33350, 2873, 2241, 19034, 2520, 4697, 289, 935, 32913, 4857, 16, 827, 27162, 281, 4778, 2068, 8943, 18, 832, 486, 10913, 36692, 282, 36350, 483, 1165, 2548, 290, 970, 16, 374, 309, 28560, 11726, 322, 2353, 35718, 16, 453, 428, 2669, 678, 10070, 17808, 445, 1505, 35660, 282, 19936, 16, 367, 13965, 36350, 17534, 3621, 411, 17, 431, 924, 16, 374, 8275, 11321, 4641, 11855, 289, 13962, 1211, 10845, 20262, 281, 1807, 16, 26698, 12189, 18, 2112, 13453, 28536, 8296, 478, 29464, 6852, 507, 470, 309, 21767, 1059, 633, 19970, 85, 15638, 3306, 309, 1061, 16, 2692, 7418, 519, 4843, 6091, 16, 6462, 349, 26314, 18, 32617, 17204, 2241, 510, 4843, 27, 16, 12630, 5096, 18, 450, 538, 873, 268, 322, 35033, 305, 30, 478, 4408, 478, 29464, 6852, 1508, 470, 656, 34464, 339, 10940, 309, 5066, 4843, 6475, 16, 24, 349, 19830, 519, 3915, 779, 289, 16889, 1066, 478, 6424, 861, 20409, 30506, 478, 28516, 440, 296, 294, 599, 1748, 300, 470, 10121, 33334, 5273, 7005, 478, 29464, 6852, 507, 470, 36554, 30, 478, 48165, 10201, 518, 38185, 7019, 16, 961, 708, 332, 28307, 282, 10811, 861, 1012, 344, 2147, 7583, 4772, 17, 48693, 32852, 18, 1572, 13949, 334, 37428, 18175, 16, 1586, 282, 11946, 1038, 40623, 6236, 16, 282, 5572, 19936, 16642, 779, 18814, 309, 7640, 9, 334, 7413, 281, 41050, 32973, 4440, 779, 289, 14231, 4843, 46504, 16, 23, 3763, 473, 324, 13531, 16, 29, 9, 282, 1671, 426, 7237, 27301, 11186, 814, 2667, 23906, 360, 1962, 509, 416, 13185, 7083, 751, 309, 12060, 7418, 519, 4843, 7751, 3763, 18, 1012, 344, 2147, 360, 13294, 419, 18814, 309, 2555, 16, 24, 7418, 519, 4843, 3902, 16, 25, 3763, 18, 20409, 33843, 16, 30434, 448, 39298, 478, 672, 4790, 277, 910, 23653, 6591, 49234, 2241, 282, 907, 19936, 309, 12060, 16, 26, 7418, 519, 4843, 3940, 28, 16, 29, 3763, 18, 478, 672, 15701, 2873, 7019, 49234, 12899, 6271, 26515, 15298, 289, 3716, 322, 13973, 16, 510, 2548, 7956, 45352, 305, 809, 884, 411, 478, 789, 932, 382, 3911, 14101, 861, 510, 740, 6591, 49234, 478, 29464, 6852, 507, 470, 6382, 282, 5344, 349, 2948, 17714, 15706, 360, 13185, 16, 367, 6591, 32852, 18, 1572, 510, 349, 2948, 17714, 49234, 360, 8347, 34107, 473, 26704, 81, 28233, 12819, 12059, 934, 1586, 18814, 282, 5572, 19936, 1033, 828, 309, 3417, 9, 861, 5585, 553, 32852, 18, 1572, 13949, 20299, 309, 816, 16, 8799, 7418, 519, 4843, 9869, 16, 8081, 349, 9304, 4314, 25735, 28837, 668, 49087, 2977, 18, 2, 1, 87, 1456, 81, 2448, 30, 37294, 409, 35073, 450, 27054, 14915, 6589, 16, 19854, 7179, 6842, 8604, 35111, 38213, 4254, 16, 22321, 13605, 15506, 289, 14267, 282, 351, 440, 32707, 18, 640, 8234, 16, 1754, 396, 364, 623, 2340, 7667, 7337, 16, 38574, 401, 10114, 309, 27676, 282, 2100, 41282, 48232, 355, 4109, 18, 38160, 726, 42517, 28783, 16, 4437, 6954, 16, 374, 25599, 13045, 1472, 282, 22668, 7541, 18, 31224, 30, 732, 5059, 19854, 7179, 19589, 890, 38213, 4254, 450, 27054, 14915, 6589, 5121, 282, 5214, 6164, 761, 289, 8698, 6906, 284, 538, 800, 48190, 416, 21963, 282, 34570, 25796, 18, 8281, 24977, 2756, 49212, 35073, 16, 1754, 639, 396, 364 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31224, 30, 9284, 1344, 17, 3975, 5934, 783, 478, 29464, 11764, 470, 282, 5572, 19936, 4018, 779, 2957, 5481, 49253, 309, 17530, 9, 334, 7413, 281, 41050, 32973, 6705, 779, 16, 519, 1061, 16, 29, 5096, 2791, 47568, 4003, 16, 23, 3763, 814, 17645, 9383, 11726, 36701, 309, 3703, 7418, 519, 430, 16, 26, 5096, 2791, 47568, 11629, 16, 22, 3763, 814, 10462, 5596, 11726, 1038, 48593, 510, 309, 17736, 7418, 519, 430, 16, 23, 5096, 2791, 47568, 9869, 16, 29, 3763, 814, 472, 36124, 622, 334, 32410, 9811, 14231, 4016, 16, 25, 7418, 334, 15891, 9811, 510, 3695, 16, 24, 5999, 2667, 23906, 360, 13185, 20299, 309, 17530, 9, 510, 309, 4039, 9, 334, 1962, 509, 416, 31170, 289, 309, 17736, 9, 334, 13294, 1100, 18, 478, 29464, 11764, 470, 2957, 3389, 41535, 16, 19465, 289, 49402, 11608, 282, 5572, 19936, 309, 5953, 7418, 281, 1286, 6862, 3763, 2791, 519, 430, 5096, 2791, 18, 365, 2241, 15634, 14600, 42538, 6591, 17356, 40217, 411, 868, 10484, 309, 9337, 35193, 678, 1927, 16, 367, 1038, 18183, 14600, 309, 20775, 18455, 3245, 289, 505, 34107, 289, 309, 17123, 45687, 289, 24227, 40368, 25708, 18, 824, 3761, 33402, 3680, 27583, 16, 14702, 18455, 3245, 478, 29464, 11764, 470, 282, 5572, 19936, 4018, 779, 14231, 282, 11099, 19670, 16, 24, 5999, 16394, 45556, 2294, 6245, 48879, 2123, 29, 2634, 16, 374, 309, 816, 9, 1143, 16, 828, 282, 33762, 19936, 4440, 779, 18, 33350, 572, 12445, 1809, 9811, 4167, 4803, 10940, 291, 46357, 16, 36379, 478, 15210, 304, 470, 3715, 745, 12503, 15634, 12445, 1809, 9811, 309, 23088, 7418, 519, 430, 16, 9348, 5096, 2791, 18, 365, 5344, 13412, 13155, 6171, 360, 5874, 1385, 445, 2543, 282, 9802, 46033, 3763, 2791, 16, 4437, 10531, 34450, 478, 28516, 440, 807, 861, 20409, 30506, 478, 677, 22254, 17, 6207, 1748, 455, 470, 25486, 1367, 809, 401, 18590, 16174, 478, 29464, 6852, 507, 470, 18183, 26928, 16, 17044, 289, 26235, 14600, 282, 5572, 19936, 16, 961, 5823, 6353, 3230, 10940, 291, 478, 677, 22254, 17, 6207, 1748, 455, 861, 478, 677, 4440, 1045, 10982, 309, 19862, 5814, 32819, 8511, 668, 30183, 18, 365, 4301, 30149, 1489, 24786, 281, 22647, 18455, 22859, 478, 29464, 11764, 470, 282, 3998, 779, 3508, 26944, 13839, 30183, 541, 20970, 36580, 1634, 5117, 16, 510, 10050, 678, 18, 510, 889, 13748, 16, 281, 2059, 1963, 16, 294, 2222, 16, 374, 14702, 14141, 478, 29464, 6852, 507, 470, 282, 11500, 48154, 17305, 16, 515, 16, 281, 2107, 1963, 16, 294, 6261, 954, 1664, 21376, 6239, 1205, 294, 1045, 861, 1787, 478, 29464, 6852, 507, 470, 575, 4748, 4751, 1078, 10982, 16, 2548, 17397, 450, 538, 873, 268, 411, 478, 1182, 884, 429, 861, 33350, 572, 45205, 617, 13029, 14572, 411, 17, 431, 1307, 267, 17, 429, 313, 31654, 2204, 4568, 17356, 16, 10050, 41330, 1075, 25917, 16, 10912, 5436, 1180, 514, 12683, 1019, 6690, 29800, 439, 11914, 306, 1043, 18, 478, 16385, 481, 322, 48281, 16, 515, 289, 583, 478, 29464, 11764, 470, 18604, 3064, 334, 8872, 779, 1033, 3826, 1453, 38185, 3281, 910, 510, 11792, 678, 18, 33350, 2873, 2241, 19034, 2520, 4697, 289, 935, 32913, 4857, 16, 827, 27162, 281, 4778, 2068, 8943, 18, 832, 486, 10913, 36692, 282, 36350, 483, 1165, 2548, 290, 970, 16, 374, 309, 28560, 11726, 322, 2353, 35718, 16, 453, 428, 2669, 678, 10070, 17808, 445, 1505, 35660, 282, 19936, 16, 367, 13965, 36350, 17534, 3621, 411, 17, 431, 924, 16, 374, 8275, 11321, 4641, 11855, 289, 13962, 1211, 10845, 20262, 281, 1807, 16, 26698, 12189, 18, 2112, 13453, 28536, 8296, 478, 29464, 6852, 507, 470, 309, 21767, 1059, 633, 19970, 85, 15638, 3306, 309, 1061, 16, 2692, 7418, 519, 4843, 6091, 16, 6462, 349, 26314, 18, 32617, 17204, 2241, 510, 4843, 27, 16, 12630, 5096, 18, 450, 538, 873, 268, 322, 35033, 305, 30, 478, 4408, 478, 29464, 6852, 1508, 470, 656, 34464, 339, 10940, 309, 5066, 4843, 6475, 16, 24, 349, 19830, 519, 3915, 779, 289, 16889, 1066, 478, 6424, 861, 20409, 30506, 478, 28516, 440, 296, 294, 599, 1748, 300, 470, 10121, 33334, 5273, 7005, 478, 29464, 6852, 507, 470, 36554, 30, 478, 48165, 10201, 518, 38185, 7019, 16, 961, 708, 332, 28307, 282, 10811, 861, 1012, 344, 2147, 7583, 4772, 17, 48693, 32852, 18, 1572, 13949, 334, 37428, 18175, 16, 1586, 282, 11946, 1038, 40623, 6236, 16, 282, 5572, 19936, 16642, 779, 18814, 309, 7640, 9, 334, 7413, 281, 41050, 32973, 4440, 779, 289, 14231, 4843, 46504, 16, 23, 3763, 473, 324, 13531, 16, 29, 9, 282, 1671, 426, 7237, 27301, 11186, 814, 2667, 23906, 360, 1962, 509, 416, 13185, 7083, 751, 309, 12060, 7418, 519, 4843, 7751, 3763, 18, 1012, 344, 2147, 360, 13294, 419, 18814, 309, 2555, 16, 24, 7418, 519, 4843, 3902, 16, 25, 3763, 18, 20409, 33843, 16, 30434, 448, 39298, 478, 672, 4790, 277, 910, 23653, 6591, 49234, 2241, 282, 907, 19936, 309, 12060, 16, 26, 7418, 519, 4843, 3940, 28, 16, 29, 3763, 18, 478, 672, 15701, 2873, 7019, 49234, 12899, 6271, 26515, 15298, 289, 3716, 322, 13973, 16, 510, 2548, 7956, 45352, 305, 809, 884, 411, 478, 789, 932, 382, 3911, 14101, 861, 510, 740, 6591, 49234, 478, 29464, 6852, 507, 470, 6382, 282, 5344, 349, 2948, 17714, 15706, 360, 13185, 16, 367, 6591, 32852, 18, 1572, 510, 349, 2948, 17714, 49234, 360, 8347, 34107, 473, 26704, 81, 28233, 12819, 12059, 934, 1586, 18814, 282, 5572, 19936, 1033, 828, 309, 3417, 9, 861, 5585, 553, 32852, 18, 1572, 13949, 20299, 309, 816, 16, 8799, 7418, 519, 4843, 9869, 16, 8081, 349, 9304, 4314, 25735, 28837, 668, 49087, 2977, 18, 2, 1, 87, 1456, 81, 2448, 30, 37294, 409, 35073, 450, 27054, 14915, 6589, 16, 19854, 7179, 6842, 8604, 35111, 38213, 4254, 16, 22321, 13605, 15506, 289, 14267, 282, 351, 440, 32707, 18, 640, 8234, 16, 1754, 396, 364, 623, 2340, 7667, 7337, 16, 38574, 401, 10114, 309, 27676, 282, 2100, 41282, 48232, 355, 4109, 18, 38160, 726, 42517, 28783, 16, 4437, 6954, 16, 374, 25599, 13045, 1472, 282, 22668, 7541, 18, 31224, 30, 732, 5059, 19854, 7179, 19589, 890, 38213, 4254, 450, 27054, 14915, 6589, 5121, 282, 5214, 6164, 761, 289, 8698, 6906, 284, 538, 800, 48190, 416, 21963, 282, 34570, 25796, 18, 8281, 24977, 2756, 49212, 35073, 16, 1754, 639, 396, 364 ]
[ 623, 2340, 7667, 7337, 14915, 6589, 16, 6489, 5460, 282, 10666, 282, 19862, 4772, 17, 511, 36148, 951, 7458, 3436, 19, 27, 18, 640, 4863, 6187, 5500, 9716, 5319, 478, 31368, 894, 470, 10114, 309, 27676, 16, 1692, 12223, 282, 2100, 2432, 17249, 289, 41282, 48232, 355, 4109, 18, 640, 3871, 508, 1414, 16, 7073, 5375, 309, 10853, 16, 1472, 11803, 47072, 16, 27187, 334, 27671, 289, 12023, 21096, 18, 14787, 1020, 16810, 839, 3561, 3871, 508, 798, 8648, 2608, 3465, 530, 309, 7764, 16, 12860, 42402, 722, 18, 5533, 3076, 49212, 9793, 16, 2282, 20359, 10310, 1066, 290, 21528, 8292, 13552, 4109, 1195, 48232, 355, 16, 1745, 322, 10070, 607, 1812, 282, 7337, 18, 49381, 549, 30159, 1373, 575, 33815, 2904, 16, 374, 13874, 6276, 1939, 3612, 16, 282, 13205, 28022, 9288, 510, 8078, 37513, 2220, 3850, 403, 11365, 16, 1601, 3305, 39050, 1977, 613, 349, 42305, 3018, 18, 29045, 49212, 35073, 6048, 1807, 1089, 4277, 624, 13807, 1195, 48232, 406, 24547, 16, 2486, 30398, 282, 2802, 447, 626, 11100, 24649, 26529, 16, 5273, 1273, 1021, 12493, 12577, 22172, 18, 47194, 755, 1149, 35171, 38, 14607, 40, 20527, 18, 3758, 39461, 11093, 788, 267, 16, 4056, 17273, 756, 4749, 309, 49212, 42962, 16, 27250, 1624, 374, 481, 22544, 783, 4532, 295, 12152, 29912, 624, 289, 683, 1161, 322, 7251, 366, 6033, 18, 478, 789, 1740, 3803, 16, 374, 951, 7458, 3436, 19, 27, 2671, 40247, 5065, 11051, 1717, 1800, 18, 889, 16, 13302, 16, 16672, 290, 5201, 750, 910, 510, 2548, 11093, 788, 267, 18, 478, 563, 22539, 265, 16, 9099, 2856, 16, 1494, 22890, 5878, 1525, 16, 374, 656, 15545, 414, 3084, 3971, 473, 275, 8384, 281, 351, 440, 26763, 18, 510, 478, 18386, 18, 8381, 12235, 515, 1299, 10412, 764, 4619, 289, 4619, 910, 510, 18590, 678, 18, 23104, 12904, 30, 5864, 674, 5493, 27, 18, 1572, 478, 44558, 274, 309, 4884, 27676, 16, 387, 2125, 965, 12259, 15420, 20820, 281, 870, 1873, 4947, 4611, 910, 510, 36842, 7190, 9630, 769, 48136, 1661, 46101, 18, 478, 1358, 322, 2447, 2023, 16, 374, 3888, 4465, 16, 9099, 2856, 16, 322, 2125, 17183, 16, 515, 827, 745, 13672, 16, 28734, 1512, 12259, 26092, 16, 26375, 6946, 697, 16, 502, 745, 322, 2125, 1413, 5559, 309, 39958, 289, 29541, 11120, 282, 4772, 18, 459, 867, 1033, 322, 282, 8078, 37513, 2220, 3850, 403, 11365, 910, 510, 42375, 1596, 1211, 769, 48136, 1661, 46101, 18, 365, 8347, 13636, 49212, 35073, 22321, 3872, 8040, 15350, 19801, 18, 16429, 10723, 29230, 16, 374, 8881, 18750, 282, 34023, 423, 16, 13302, 16, 10201, 37932, 5852, 18, 740, 40473, 309, 1047, 475, 17, 2767, 322, 10225, 18, 3647, 282, 22818, 424, 7337, 25889, 2394, 2625, 31797, 16387, 20687, 18, 9967, 33300, 2826, 685, 2539, 286, 510, 4863, 28678, 362, 1157, 10195, 26997, 414, 29720, 18, 2877, 309, 9033, 582, 19286, 687, 21096, 3871, 508, 798, 281, 19977, 23575, 1082, 18, 6831, 15841, 424, 7337, 912, 14255, 12380, 294, 33860, 16, 282, 2114, 14914, 5432, 16, 374, 13045, 510, 1372, 2236, 411, 2537, 21681, 7620, 852, 17, 9906, 3918, 2773, 6260, 507, 18, 3739, 282, 18489, 1045, 3909, 354, 6147, 13504, 19311, 45140, 16, 40101, 368, 289, 18537, 382, 541, 6692, 282, 2100, 45715, 1378, 29638, 362, 408, 4717, 16, 25108, 274, 2733, 2175, 17401, 1880, 6843, 5054, 294, 5854, 26935, 30407, 9005, 428, 294, 4421, 395, 18, 29957, 2497, 12768, 23989, 17463, 41993, 326, 6590, 2611, 282, 12884, 478, 3693, 833, 416, 45826, 18130, 32853, 9473, 13739, 975, 1423, 2768, 289, 20295, 32057, 33177, 343, 548, 18, 9432, 6260, 507, 29193, 282, 10198, 478, 5038, 1508, 1809, 3522, 4489, 553, 861, 21529, 778, 12808, 755, 22917, 17, 730, 673, 1359, 1241, 2143, 286, 282, 2343, 10860, 3931, 5456, 364, 19311, 14464, 12678, 16, 282, 1639, 17463, 2432, 16725, 29522, 3992, 18, 6644, 4421, 26815, 286, 18495, 937, 27297, 31, 1314, 3665, 2364, 10848, 505, 904, 18, 12657, 411, 44810, 26815, 798, 5168, 3890, 282, 18511, 1674, 12152, 7541, 282, 6319, 267, 16368, 18, 478, 37293, 21638, 951, 7458, 3436, 19, 27, 20075, 1279, 11587, 351, 440, 8323, 16, 31119, 427, 289, 49290, 1512, 282, 6595, 373, 502, 537, 639, 2100, 16, 510, 2815, 478, 46088, 18, 8381, 470, 4624, 5862, 6187, 10195, 10618, 8891, 44898, 18, 510, 889, 10404, 656, 4502, 2484, 6836, 282, 22668, 7541, 18, 967, 45030, 1617, 28783, 1514, 7168, 33860, 16, 2616, 44407, 3590, 48109, 28367, 861, 640, 1247, 16, 1085, 685, 10762, 2610, 49212, 9793, 16, 8891, 44898, 1109, 16, 374, 1177, 2083, 36611, 322, 49644, 18, 47245, 10936, 450, 27054, 14915, 6589, 478, 46088, 18, 8381, 470, 322, 3225, 18, 824, 4734, 15781, 39064, 2327, 277, 2347, 718, 16, 5522, 351, 440, 8323, 282, 4598, 763, 1003, 16, 33110, 2837, 4863, 510, 481, 16483, 31063, 9630, 289, 16, 895, 16, 450, 27054, 14915, 6589, 16, 367, 15506, 3011, 487, 309, 44997, 2468, 45109, 3781, 323, 18, 29743, 2373, 383, 4944, 44520, 28554, 1624, 583, 5666, 486, 5229, 6959, 6216, 16, 282, 970, 2875, 49605, 16, 349, 15740, 15119, 478, 3693, 293, 1637, 539, 13325, 17, 21027, 910, 24500, 16, 374, 32121, 18750, 1623, 3253, 36126, 38574, 401, 18, 817, 5273, 16, 374, 8770, 322, 3837, 262, 282, 26529, 18750, 7487, 3774, 25461, 18, 478, 4441, 17355, 3182, 290, 970, 16, 374, 282, 9716, 1354, 25108, 20598, 467, 281, 367, 911, 317, 2439, 761, 16, 510, 2815, 44520, 28554, 478, 46088, 18, 8381, 861, 510, 4777, 2669, 481, 5073, 25214, 24165, 5054, 16, 1749, 14355, 6676, 18, 1606, 322, 13173, 16, 374, 28323, 19018, 21948, 49991, 16621, 16, 289, 7487, 3595, 24741, 282, 1420, 1381, 25597, 1717, 424, 2184, 20094, 18, 403, 1396, 435, 510, 35955, 14570, 20014, 3918, 2773, 6260, 507, 16, 23818, 30192, 852, 17, 441, 345, 419, 18, 889, 24484, 17786, 7868, 16, 20442, 3308, 13807, 4717, 282, 2100, 14464, 12678, 18, 459, 5416, 16, 374, 32853, 322, 13309, 351, 440, 2922, 16, 367, 25108, 305, 8770, 18, 3759, 20756, 3708, 8356, 798, 48232, 355, 510, 481, 2548, 16, 374, 9200, 7811, 349, 3018, 4717, 32417, 1888, 14761, 2155, 18, 36126, 38574, 401, 16, 11224, 274, 1190, 282, 32168, 1574, 12035, 16, 12420, 2154, 1335, 24034, 18, 9215, 42096, 1479, 6180, 13961, 16, 5980, 5252, 1595, 21499, 322, 1139, 749, 747, 38744, 16, 428, 481 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 623, 2340, 7667, 7337, 14915, 6589, 16, 6489, 5460, 282, 10666, 282, 19862, 4772, 17, 511, 36148, 951, 7458, 3436, 19, 27, 18, 640, 4863, 6187, 5500, 9716, 5319, 478, 31368, 894, 470, 10114, 309, 27676, 16, 1692, 12223, 282, 2100, 2432, 17249, 289, 41282, 48232, 355, 4109, 18, 640, 3871, 508, 1414, 16, 7073, 5375, 309, 10853, 16, 1472, 11803, 47072, 16, 27187, 334, 27671, 289, 12023, 21096, 18, 14787, 1020, 16810, 839, 3561, 3871, 508, 798, 8648, 2608, 3465, 530, 309, 7764, 16, 12860, 42402, 722, 18, 5533, 3076, 49212, 9793, 16, 2282, 20359, 10310, 1066, 290, 21528, 8292, 13552, 4109, 1195, 48232, 355, 16, 1745, 322, 10070, 607, 1812, 282, 7337, 18, 49381, 549, 30159, 1373, 575, 33815, 2904, 16, 374, 13874, 6276, 1939, 3612, 16, 282, 13205, 28022, 9288, 510, 8078, 37513, 2220, 3850, 403, 11365, 16, 1601, 3305, 39050, 1977, 613, 349, 42305, 3018, 18, 29045, 49212, 35073, 6048, 1807, 1089, 4277, 624, 13807, 1195, 48232, 406, 24547, 16, 2486, 30398, 282, 2802, 447, 626, 11100, 24649, 26529, 16, 5273, 1273, 1021, 12493, 12577, 22172, 18, 47194, 755, 1149, 35171, 38, 14607, 40, 20527, 18, 3758, 39461, 11093, 788, 267, 16, 4056, 17273, 756, 4749, 309, 49212, 42962, 16, 27250, 1624, 374, 481, 22544, 783, 4532, 295, 12152, 29912, 624, 289, 683, 1161, 322, 7251, 366, 6033, 18, 478, 789, 1740, 3803, 16, 374, 951, 7458, 3436, 19, 27, 2671, 40247, 5065, 11051, 1717, 1800, 18, 889, 16, 13302, 16, 16672, 290, 5201, 750, 910, 510, 2548, 11093, 788, 267, 18, 478, 563, 22539, 265, 16, 9099, 2856, 16, 1494, 22890, 5878, 1525, 16, 374, 656, 15545, 414, 3084, 3971, 473, 275, 8384, 281, 351, 440, 26763, 18, 510, 478, 18386, 18, 8381, 12235, 515, 1299, 10412, 764, 4619, 289, 4619, 910, 510, 18590, 678, 18, 23104, 12904, 30, 5864, 674, 5493, 27, 18, 1572, 478, 44558, 274, 309, 4884, 27676, 16, 387, 2125, 965, 12259, 15420, 20820, 281, 870, 1873, 4947, 4611, 910, 510, 36842, 7190, 9630, 769, 48136, 1661, 46101, 18, 478, 1358, 322, 2447, 2023, 16, 374, 3888, 4465, 16, 9099, 2856, 16, 322, 2125, 17183, 16, 515, 827, 745, 13672, 16, 28734, 1512, 12259, 26092, 16, 26375, 6946, 697, 16, 502, 745, 322, 2125, 1413, 5559, 309, 39958, 289, 29541, 11120, 282, 4772, 18, 459, 867, 1033, 322, 282, 8078, 37513, 2220, 3850, 403, 11365, 910, 510, 42375, 1596, 1211, 769, 48136, 1661, 46101, 18, 365, 8347, 13636, 49212, 35073, 22321, 3872, 8040, 15350, 19801, 18, 16429, 10723, 29230, 16, 374, 8881, 18750, 282, 34023, 423, 16, 13302, 16, 10201, 37932, 5852, 18, 740, 40473, 309, 1047, 475, 17, 2767, 322, 10225, 18, 3647, 282, 22818, 424, 7337, 25889, 2394, 2625, 31797, 16387, 20687, 18, 9967, 33300, 2826, 685, 2539, 286, 510, 4863, 28678, 362, 1157, 10195, 26997, 414, 29720, 18, 2877, 309, 9033, 582, 19286, 687, 21096, 3871, 508, 798, 281, 19977, 23575, 1082, 18, 6831, 15841, 424, 7337, 912, 14255, 12380, 294, 33860, 16, 282, 2114, 14914, 5432, 16, 374, 13045, 510, 1372, 2236, 411, 2537, 21681, 7620, 852, 17, 9906, 3918, 2773, 6260, 507, 18, 3739, 282, 18489, 1045, 3909, 354, 6147, 13504, 19311, 45140, 16, 40101, 368, 289, 18537, 382, 541, 6692, 282, 2100, 45715, 1378, 29638, 362, 408, 4717, 16, 25108, 274, 2733, 2175, 17401, 1880, 6843, 5054, 294, 5854, 26935, 30407, 9005, 428, 294, 4421, 395, 18, 29957, 2497, 12768, 23989, 17463, 41993, 326, 6590, 2611, 282, 12884, 478, 3693, 833, 416, 45826, 18130, 32853, 9473, 13739, 975, 1423, 2768, 289, 20295, 32057, 33177, 343, 548, 18, 9432, 6260, 507, 29193, 282, 10198, 478, 5038, 1508, 1809, 3522, 4489, 553, 861, 21529, 778, 12808, 755, 22917, 17, 730, 673, 1359, 1241, 2143, 286, 282, 2343, 10860, 3931, 5456, 364, 19311, 14464, 12678, 16, 282, 1639, 17463, 2432, 16725, 29522, 3992, 18, 6644, 4421, 26815, 286, 18495, 937, 27297, 31, 1314, 3665, 2364, 10848, 505, 904, 18, 12657, 411, 44810, 26815, 798, 5168, 3890, 282, 18511, 1674, 12152, 7541, 282, 6319, 267, 16368, 18, 478, 37293, 21638, 951, 7458, 3436, 19, 27, 20075, 1279, 11587, 351, 440, 8323, 16, 31119, 427, 289, 49290, 1512, 282, 6595, 373, 502, 537, 639, 2100, 16, 510, 2815, 478, 46088, 18, 8381, 470, 4624, 5862, 6187, 10195, 10618, 8891, 44898, 18, 510, 889, 10404, 656, 4502, 2484, 6836, 282, 22668, 7541, 18, 967, 45030, 1617, 28783, 1514, 7168, 33860, 16, 2616, 44407, 3590, 48109, 28367, 861, 640, 1247, 16, 1085, 685, 10762, 2610, 49212, 9793, 16, 8891, 44898, 1109, 16, 374, 1177, 2083, 36611, 322, 49644, 18, 47245, 10936, 450, 27054, 14915, 6589, 478, 46088, 18, 8381, 470, 322, 3225, 18, 824, 4734, 15781, 39064, 2327, 277, 2347, 718, 16, 5522, 351, 440, 8323, 282, 4598, 763, 1003, 16, 33110, 2837, 4863, 510, 481, 16483, 31063, 9630, 289, 16, 895, 16, 450, 27054, 14915, 6589, 16, 367, 15506, 3011, 487, 309, 44997, 2468, 45109, 3781, 323, 18, 29743, 2373, 383, 4944, 44520, 28554, 1624, 583, 5666, 486, 5229, 6959, 6216, 16, 282, 970, 2875, 49605, 16, 349, 15740, 15119, 478, 3693, 293, 1637, 539, 13325, 17, 21027, 910, 24500, 16, 374, 32121, 18750, 1623, 3253, 36126, 38574, 401, 18, 817, 5273, 16, 374, 8770, 322, 3837, 262, 282, 26529, 18750, 7487, 3774, 25461, 18, 478, 4441, 17355, 3182, 290, 970, 16, 374, 282, 9716, 1354, 25108, 20598, 467, 281, 367, 911, 317, 2439, 761, 16, 510, 2815, 44520, 28554, 478, 46088, 18, 8381, 861, 510, 4777, 2669, 481, 5073, 25214, 24165, 5054, 16, 1749, 14355, 6676, 18, 1606, 322, 13173, 16, 374, 28323, 19018, 21948, 49991, 16621, 16, 289, 7487, 3595, 24741, 282, 1420, 1381, 25597, 1717, 424, 2184, 20094, 18, 403, 1396, 435, 510, 35955, 14570, 20014, 3918, 2773, 6260, 507, 16, 23818, 30192, 852, 17, 441, 345, 419, 18, 889, 24484, 17786, 7868, 16, 20442, 3308, 13807, 4717, 282, 2100, 14464, 12678, 18, 459, 5416, 16, 374, 32853, 322, 13309, 351, 440, 2922, 16, 367, 25108, 305, 8770, 18, 3759, 20756, 3708, 8356, 798, 48232, 355, 510, 481, 2548, 16, 374, 9200, 7811, 349, 3018, 4717, 32417, 1888, 14761, 2155, 18, 36126, 38574, 401, 16, 11224, 274, 1190, 282, 32168, 1574, 12035, 16, 12420, 2154, 1335, 24034, 18, 9215, 42096, 1479, 6180, 13961, 16, 5980, 5252, 1595, 21499, 322, 1139, 749, 747, 38744, 16, 428, 481 ]
[ 5073, 21090, 5999, 629, 939, 9784, 306, 8920, 957, 349, 1574, 3260, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 49602, 2047, 1551, 43209, 294, 28147, 2847, 1147, 33260, 282, 15978, 12119, 10342, 13493, 16, 1029, 282, 3178, 4256, 986, 47939, 1475, 289, 40927, 4717, 18, 8882, 28838, 18449, 3382, 11305, 2922, 16, 24568, 334, 5714, 333, 5123, 289, 23870, 14346, 406, 42005, 309, 4625, 10230, 505, 24544, 18, 967, 3528, 764, 322, 15739, 282, 1568, 668, 3941, 289, 895, 953, 29581, 11646, 18, 31224, 30, 15309, 2576, 451, 1551, 49602, 2047, 43209, 294, 28147, 2847, 1147, 33260, 349, 19311, 22424, 4766, 289, 11910, 6566, 1135, 15803, 23888, 274, 510, 44988, 343, 16, 14804, 307, 47301, 282, 5894, 12706, 424, 7595, 11305, 419, 18, 1268, 296, 1855, 13742, 4322, 840, 282, 15978, 12119, 10342, 18, 45855, 451, 4126, 12543, 1061, 3750, 289, 14366, 349, 32972, 49389, 18, 4320, 10566, 322, 15739, 282, 1568, 668, 3941, 289, 895, 953, 29581, 11646, 282, 7400, 547, 12564, 1175, 18, 49907, 2761, 685, 20817, 13798, 11826, 779, 18, 824, 3761, 14160, 16, 4322, 38079, 8150, 281, 3734, 334, 7847, 1205, 282, 3580, 5714, 333, 363, 289, 25670, 1587, 294, 3130, 12937, 18, 365, 4810, 16, 492, 12983, 2846, 10076, 16, 367, 1038, 48118, 309, 11910, 16, 1817, 43922, 16, 22424, 4766, 289, 21025, 2794, 5348, 43547, 9766, 18, 6592, 49605, 6619, 16, 2486, 9542, 3405, 45510, 16, 49907, 2761, 6641, 300, 309, 4717, 282, 7353, 360, 1281, 519, 12060, 986, 18, 9817, 17, 7745, 4322, 5778, 29822, 5894, 289, 16, 43736, 21401, 37865, 11305, 2922, 16, 23870, 14346, 406, 19772, 16, 3888, 411, 1639, 898, 282, 23731, 547, 25810, 7025, 16, 15514, 15908, 697, 519, 1642, 18, 365, 12335, 3734, 779, 3871, 28838, 22424, 1475, 667, 17, 34600, 9016, 16, 367, 2512, 2963, 8258, 722, 16, 515, 4192, 546, 14719, 3225, 23486, 289, 29561, 18, 365, 11500, 2801, 779, 49907, 2761, 28556, 309, 4039, 17, 34600, 9016, 16, 1754, 1320, 10849, 360, 13603, 18, 365, 12938, 2604, 779, 33608, 11367, 4055, 17, 34600, 9016, 16, 28278, 1754, 6371, 1472, 1248, 1272, 779, 18, 3739, 1248, 5004, 505, 22659, 2756, 4039, 17, 16981, 8061, 549, 3708, 16, 5464, 4749, 21025, 3595, 3193, 43547, 9766, 18, 9857, 575, 17201, 3871, 28838, 12983, 282, 11500, 4145, 779, 18, 365, 11130, 7847, 779, 3871, 28838, 22424, 1475, 289, 11367, 3436, 17, 34600, 9016, 18, 385, 16779, 281, 3994, 1027, 21405, 17474, 18453, 16, 722, 3555, 492, 30200, 282, 3157, 1724, 16460, 16, 1763, 3080, 275, 18054, 34136, 18, 365, 4542, 15140, 14132, 1101, 36560, 2797, 9973, 1033, 6459, 22162, 16, 639, 34377, 1033, 1281, 24617, 31006, 18, 491, 4238, 43788, 24413, 43209, 294, 28147, 2847, 1147, 3017, 272, 21226, 345, 665, 6452, 274, 454, 296, 401, 16, 27782, 2024, 2458, 2852, 4717, 282, 3507, 289, 30383, 18, 985, 1958, 857, 13391, 16, 281, 3612, 334, 34194, 2604, 779, 3871, 28838, 6641, 300, 309, 4717, 282, 39498, 432, 6594, 39193, 5791, 289, 40927, 16, 309, 16557, 15809, 16717, 18, 38659, 6452, 274, 454, 296, 401, 12510, 26199, 5269, 8977, 16, 374, 4322, 1715, 1833, 13749, 1423, 16789, 289, 7214, 28927, 477, 23285, 18, 981, 25062, 309, 722, 424, 10336, 434, 322, 1413, 18957, 16, 39672, 30599, 18, 25344, 7742, 22056, 7737, 20792, 319, 32839, 1011, 15008, 1073, 10414, 29687, 10203, 289, 27571, 27436, 15974, 505, 16291, 891, 16, 961, 745, 40582, 7432, 281, 17119, 17209, 18, 4802, 10292, 13517, 4459, 18395, 35330, 289, 567, 808, 1684, 820, 6371, 9520, 16, 309, 1754, 26381, 11232, 4829, 1949, 9994, 18, 2046, 294, 2856, 18254, 6452, 274, 454, 3951, 726, 17290, 309, 13012, 16, 505, 19645, 282, 21487, 31692, 18, 365, 11023, 7847, 779, 13493, 14617, 488, 4110, 411, 14512, 282, 7522, 18, 6592, 22224, 4141, 16, 6452, 274, 454, 3951, 24798, 478, 599, 48884, 1398, 30743, 19360, 17081, 1518, 8361, 16, 34899, 526, 44599, 16, 23001, 21849, 14558, 16, 43722, 19528, 861, 817, 1038, 23140, 478, 1334, 668, 47677, 294, 17540, 21618, 9005, 861, 16344, 38079, 10076, 322, 687, 282, 1175, 16, 515, 289, 309, 2923, 2665, 289, 37753, 18, 1563, 10502, 1551, 726, 43209, 505, 294, 28147, 2847, 1147, 3017, 272, 349, 1272, 10076, 18, 3397, 26940, 1247, 290, 23462, 10901, 2198, 309, 20017, 282, 22389, 775, 16, 988, 505, 8232, 3655, 1551, 18, 6452, 274, 454, 3951, 726, 14403, 282, 16765, 3437, 19753, 569, 2543, 18, 4756, 282, 23147, 3899, 800, 685, 49441, 15173, 17, 7745, 4322, 16, 1029, 309, 7266, 4335, 986, 47939, 1475, 29295, 19774, 18, 4429, 995, 837, 5412, 19412, 294, 3695, 1045, 282, 9358, 4699, 15978, 40945, 10342, 18, 6682, 1533, 986, 4322, 12769, 36895, 6279, 30, 10299, 307, 7768, 2693, 322, 14985, 9025, 505, 12902, 16, 3387, 15543, 322, 3005, 22129, 21025, 837, 16, 367, 22162, 14214, 2155, 322, 639, 18, 16577, 6711, 808, 8357, 36156, 1552, 639, 14640, 3890, 478, 275, 2630, 281, 5769, 991, 3021, 3247, 16, 19984, 1352, 6244, 6879, 282, 3106, 41629, 861, 2949, 924, 16, 1101, 8926, 329, 4095, 994, 13499, 16, 289, 8811, 17329, 6431, 31102, 322, 11152, 2630, 1251, 8150, 353, 18, 365, 11872, 11826, 779, 639, 11364, 3890, 7953, 539, 13391, 510, 1421, 1101, 37635, 3457, 282, 2361, 8357, 18, 967, 3599, 16967, 31006, 334, 23201, 14354, 9285, 3991, 15463, 277, 10299, 307, 7768, 3225, 13076, 16, 374, 475, 10390, 6074, 12983, 1176, 1135, 18, 996, 16, 309, 16776, 18100, 973, 36560, 11257, 30824, 44739, 47977, 18, 4429, 995, 2409, 4167, 11750, 13097, 20268, 1034, 21181, 324, 16, 2598, 447, 1779, 687, 2846, 7663, 5308, 18, 365, 22113, 492, 3619, 4698, 1551, 3030, 18, 16344, 7757, 282, 4577, 4611, 10299, 23850, 687, 282, 7847, 1045, 16, 785, 360, 919, 937, 3017, 349, 17201, 43547, 9766, 18, 7909, 492, 38296, 300, 1423, 14785, 622, 294, 15585, 395, 281, 18708, 5681, 16, 2686, 1011, 11103, 917, 20481, 6463, 1008, 454, 281, 22131, 416, 18, 2, 1, 87, 1456, 81, 2448, 30, 10789, 31655, 14382, 31004, 324, 6318, 1011, 9764, 1195, 16589, 323, 8324, 287, 307, 282, 5572, 23708, 4357, 8267, 14378, 4551, 9321, 16, 374, 31635, 1360, 22232, 16, 515, 322, 5438, 309, 1247, 16, 31834, 520, 678, 282, 23376, 282, 1750, 8421, 3336, 7583, 4966, 18, 31224, 30, 384, 385, 41445, 8077, 16410, 16627, 16244, 655, 510, 1860, 1963, 15951, 289, 24520, 16, 374 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5073, 21090, 5999, 629, 939, 9784, 306, 8920, 957, 349, 1574, 3260, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 49602, 2047, 1551, 43209, 294, 28147, 2847, 1147, 33260, 282, 15978, 12119, 10342, 13493, 16, 1029, 282, 3178, 4256, 986, 47939, 1475, 289, 40927, 4717, 18, 8882, 28838, 18449, 3382, 11305, 2922, 16, 24568, 334, 5714, 333, 5123, 289, 23870, 14346, 406, 42005, 309, 4625, 10230, 505, 24544, 18, 967, 3528, 764, 322, 15739, 282, 1568, 668, 3941, 289, 895, 953, 29581, 11646, 18, 31224, 30, 15309, 2576, 451, 1551, 49602, 2047, 43209, 294, 28147, 2847, 1147, 33260, 349, 19311, 22424, 4766, 289, 11910, 6566, 1135, 15803, 23888, 274, 510, 44988, 343, 16, 14804, 307, 47301, 282, 5894, 12706, 424, 7595, 11305, 419, 18, 1268, 296, 1855, 13742, 4322, 840, 282, 15978, 12119, 10342, 18, 45855, 451, 4126, 12543, 1061, 3750, 289, 14366, 349, 32972, 49389, 18, 4320, 10566, 322, 15739, 282, 1568, 668, 3941, 289, 895, 953, 29581, 11646, 282, 7400, 547, 12564, 1175, 18, 49907, 2761, 685, 20817, 13798, 11826, 779, 18, 824, 3761, 14160, 16, 4322, 38079, 8150, 281, 3734, 334, 7847, 1205, 282, 3580, 5714, 333, 363, 289, 25670, 1587, 294, 3130, 12937, 18, 365, 4810, 16, 492, 12983, 2846, 10076, 16, 367, 1038, 48118, 309, 11910, 16, 1817, 43922, 16, 22424, 4766, 289, 21025, 2794, 5348, 43547, 9766, 18, 6592, 49605, 6619, 16, 2486, 9542, 3405, 45510, 16, 49907, 2761, 6641, 300, 309, 4717, 282, 7353, 360, 1281, 519, 12060, 986, 18, 9817, 17, 7745, 4322, 5778, 29822, 5894, 289, 16, 43736, 21401, 37865, 11305, 2922, 16, 23870, 14346, 406, 19772, 16, 3888, 411, 1639, 898, 282, 23731, 547, 25810, 7025, 16, 15514, 15908, 697, 519, 1642, 18, 365, 12335, 3734, 779, 3871, 28838, 22424, 1475, 667, 17, 34600, 9016, 16, 367, 2512, 2963, 8258, 722, 16, 515, 4192, 546, 14719, 3225, 23486, 289, 29561, 18, 365, 11500, 2801, 779, 49907, 2761, 28556, 309, 4039, 17, 34600, 9016, 16, 1754, 1320, 10849, 360, 13603, 18, 365, 12938, 2604, 779, 33608, 11367, 4055, 17, 34600, 9016, 16, 28278, 1754, 6371, 1472, 1248, 1272, 779, 18, 3739, 1248, 5004, 505, 22659, 2756, 4039, 17, 16981, 8061, 549, 3708, 16, 5464, 4749, 21025, 3595, 3193, 43547, 9766, 18, 9857, 575, 17201, 3871, 28838, 12983, 282, 11500, 4145, 779, 18, 365, 11130, 7847, 779, 3871, 28838, 22424, 1475, 289, 11367, 3436, 17, 34600, 9016, 18, 385, 16779, 281, 3994, 1027, 21405, 17474, 18453, 16, 722, 3555, 492, 30200, 282, 3157, 1724, 16460, 16, 1763, 3080, 275, 18054, 34136, 18, 365, 4542, 15140, 14132, 1101, 36560, 2797, 9973, 1033, 6459, 22162, 16, 639, 34377, 1033, 1281, 24617, 31006, 18, 491, 4238, 43788, 24413, 43209, 294, 28147, 2847, 1147, 3017, 272, 21226, 345, 665, 6452, 274, 454, 296, 401, 16, 27782, 2024, 2458, 2852, 4717, 282, 3507, 289, 30383, 18, 985, 1958, 857, 13391, 16, 281, 3612, 334, 34194, 2604, 779, 3871, 28838, 6641, 300, 309, 4717, 282, 39498, 432, 6594, 39193, 5791, 289, 40927, 16, 309, 16557, 15809, 16717, 18, 38659, 6452, 274, 454, 296, 401, 12510, 26199, 5269, 8977, 16, 374, 4322, 1715, 1833, 13749, 1423, 16789, 289, 7214, 28927, 477, 23285, 18, 981, 25062, 309, 722, 424, 10336, 434, 322, 1413, 18957, 16, 39672, 30599, 18, 25344, 7742, 22056, 7737, 20792, 319, 32839, 1011, 15008, 1073, 10414, 29687, 10203, 289, 27571, 27436, 15974, 505, 16291, 891, 16, 961, 745, 40582, 7432, 281, 17119, 17209, 18, 4802, 10292, 13517, 4459, 18395, 35330, 289, 567, 808, 1684, 820, 6371, 9520, 16, 309, 1754, 26381, 11232, 4829, 1949, 9994, 18, 2046, 294, 2856, 18254, 6452, 274, 454, 3951, 726, 17290, 309, 13012, 16, 505, 19645, 282, 21487, 31692, 18, 365, 11023, 7847, 779, 13493, 14617, 488, 4110, 411, 14512, 282, 7522, 18, 6592, 22224, 4141, 16, 6452, 274, 454, 3951, 24798, 478, 599, 48884, 1398, 30743, 19360, 17081, 1518, 8361, 16, 34899, 526, 44599, 16, 23001, 21849, 14558, 16, 43722, 19528, 861, 817, 1038, 23140, 478, 1334, 668, 47677, 294, 17540, 21618, 9005, 861, 16344, 38079, 10076, 322, 687, 282, 1175, 16, 515, 289, 309, 2923, 2665, 289, 37753, 18, 1563, 10502, 1551, 726, 43209, 505, 294, 28147, 2847, 1147, 3017, 272, 349, 1272, 10076, 18, 3397, 26940, 1247, 290, 23462, 10901, 2198, 309, 20017, 282, 22389, 775, 16, 988, 505, 8232, 3655, 1551, 18, 6452, 274, 454, 3951, 726, 14403, 282, 16765, 3437, 19753, 569, 2543, 18, 4756, 282, 23147, 3899, 800, 685, 49441, 15173, 17, 7745, 4322, 16, 1029, 309, 7266, 4335, 986, 47939, 1475, 29295, 19774, 18, 4429, 995, 837, 5412, 19412, 294, 3695, 1045, 282, 9358, 4699, 15978, 40945, 10342, 18, 6682, 1533, 986, 4322, 12769, 36895, 6279, 30, 10299, 307, 7768, 2693, 322, 14985, 9025, 505, 12902, 16, 3387, 15543, 322, 3005, 22129, 21025, 837, 16, 367, 22162, 14214, 2155, 322, 639, 18, 16577, 6711, 808, 8357, 36156, 1552, 639, 14640, 3890, 478, 275, 2630, 281, 5769, 991, 3021, 3247, 16, 19984, 1352, 6244, 6879, 282, 3106, 41629, 861, 2949, 924, 16, 1101, 8926, 329, 4095, 994, 13499, 16, 289, 8811, 17329, 6431, 31102, 322, 11152, 2630, 1251, 8150, 353, 18, 365, 11872, 11826, 779, 639, 11364, 3890, 7953, 539, 13391, 510, 1421, 1101, 37635, 3457, 282, 2361, 8357, 18, 967, 3599, 16967, 31006, 334, 23201, 14354, 9285, 3991, 15463, 277, 10299, 307, 7768, 3225, 13076, 16, 374, 475, 10390, 6074, 12983, 1176, 1135, 18, 996, 16, 309, 16776, 18100, 973, 36560, 11257, 30824, 44739, 47977, 18, 4429, 995, 2409, 4167, 11750, 13097, 20268, 1034, 21181, 324, 16, 2598, 447, 1779, 687, 2846, 7663, 5308, 18, 365, 22113, 492, 3619, 4698, 1551, 3030, 18, 16344, 7757, 282, 4577, 4611, 10299, 23850, 687, 282, 7847, 1045, 16, 785, 360, 919, 937, 3017, 349, 17201, 43547, 9766, 18, 7909, 492, 38296, 300, 1423, 14785, 622, 294, 15585, 395, 281, 18708, 5681, 16, 2686, 1011, 11103, 917, 20481, 6463, 1008, 454, 281, 22131, 416, 18, 2, 1, 87, 1456, 81, 2448, 30, 10789, 31655, 14382, 31004, 324, 6318, 1011, 9764, 1195, 16589, 323, 8324, 287, 307, 282, 5572, 23708, 4357, 8267, 14378, 4551, 9321, 16, 374, 31635, 1360, 22232, 16, 515, 322, 5438, 309, 1247, 16, 31834, 520, 678, 282, 23376, 282, 1750, 8421, 3336, 7583, 4966, 18, 31224, 30, 384, 385, 41445, 8077, 16410, 16627, 16244, 655, 510, 1860, 1963, 15951, 289, 24520, 16, 374 ]
[ 3476, 16410, 906, 16244, 18, 640, 1040, 464, 575, 475, 639, 16859, 18, 10118, 16, 374, 417, 8782, 844, 332, 10133, 939, 1904, 16, 289, 4369, 6915, 2500, 15406, 18, 629, 722, 590, 7470, 1909, 18, 740, 827, 373, 282, 1851, 17, 299, 2083, 4369, 6915, 33795, 282, 9547, 16, 502, 1655, 10133, 3147, 757, 10416, 3124, 14643, 18, 450, 1557, 324, 867, 16, 428, 32026, 18, 629, 3716, 322, 11642, 7739, 2827, 1329, 2048, 18, 996, 374, 16511, 417, 31635, 18, 1787, 703, 639, 4836, 18908, 8195, 289, 281, 2184, 417, 497, 8360, 18, 510, 1012, 282, 4722, 445, 14725, 349, 18823, 282, 5049, 1045, 18, 14556, 387, 1974, 281, 17382, 14325, 1345, 328, 2344, 898, 282, 10434, 16, 1441, 678, 282, 2107, 5703, 18, 510, 385, 640, 1485, 417, 906, 282, 10434, 282, 7520, 1045, 18, 2877, 1215, 3433, 590, 4111, 18, 3759, 722, 475, 9784, 467, 651, 481, 12387, 4960, 282, 6104, 18, 42026, 16, 374, 678, 813, 939, 1904, 10219, 16, 44336, 18, 740, 282, 1320, 808, 10219, 16, 785, 1882, 322, 24613, 18, 510, 1012, 1800, 12362, 34767, 30107, 35, 510, 629, 651, 4487, 414, 11287, 18, 365, 46848, 1513, 14393, 874, 475, 26345, 460, 16, 515, 481, 44384, 473, 272, 1018, 807, 484, 814, 1937, 417, 1857, 7803, 10793, 30107, 16, 502, 2060, 16, 374, 784, 334, 26246, 1684, 18070, 10536, 18, 17829, 5768, 282, 1190, 329, 703, 912, 18, 740, 2552, 1119, 20166, 10793, 30107, 4385, 16, 2686, 281, 13071, 9648, 16, 428, 1513, 6281, 282, 3591, 4096, 18, 3397, 2447, 935, 749, 15477, 22122, 507, 1684, 18070, 10536, 18, 510, 608, 1304, 1272, 17799, 35, 510, 981, 16, 367, 1223, 282, 3212, 10434, 2846, 1631, 18, 24862, 17799, 329, 703, 1003, 651, 481, 575, 322, 12544, 670, 19329, 18, 996, 374, 329, 703, 475, 38578, 18, 1397, 5327, 6250, 483, 16, 502, 309, 1176, 38823, 1176, 9680, 16, 309, 5421, 895, 2107, 16, 367, 309, 1851, 17, 299, 289, 5826, 18, 2465, 453, 8030, 289, 36871, 3624, 18, 510, 3654, 2776, 31536, 2785, 465, 32863, 7732, 282, 2968, 35, 510, 1253, 651, 6917, 10664, 549, 18, 889, 722, 1678, 23763, 12483, 18, 4988, 1494, 1513, 1717, 1684, 10654, 874, 16, 453, 428, 678, 9988, 309, 12647, 2493, 4163, 18, 996, 374, 309, 5734, 2083, 678, 2826, 6917, 23093, 282, 2968, 18, 510, 985, 1337, 1187, 798, 35, 510, 640, 1040, 464, 16, 827, 8602, 16, 906, 28075, 8087, 309, 9547, 289, 322, 8491, 334, 11922, 18, 439, 453, 784, 1373, 475, 939, 5550, 18, 14097, 319, 1373, 282, 9720, 18, 510, 19183, 642, 6991, 18908, 282, 21555, 282, 37561, 8267, 35, 510, 14092, 306, 475, 16, 374, 360, 703, 8166, 18, 385, 2733, 575, 4195, 339, 9811, 289, 6247, 11667, 18, 1303, 6354, 6281, 282, 3591, 1119, 18, 510, 365, 23376, 6280, 781, 349, 18823, 35, 510, 7909, 1381, 3336, 6863, 16, 367, 971, 1142, 272, 18, 10319, 8324, 287, 307, 1011, 7977, 32483, 27077, 7739, 2827, 16, 30634, 16, 374, 371, 1574, 9547, 31004, 324, 298, 1406, 329, 1710, 1139, 322, 639, 20163, 18, 478, 15883, 784, 639, 939, 4525, 16, 510, 2323, 678, 18, 651, 1253, 22474, 939, 11723, 289, 322, 281, 4622, 12143, 3196, 712, 18, 629, 7199, 22829, 309, 4674, 1616, 16, 10660, 7174, 455, 16, 2686, 31004, 324, 6318, 7766, 289, 3525, 27547, 16, 453, 374, 784, 1833, 6898, 33621, 360, 21222, 5625, 18, 14382, 1715, 322, 14772, 15406, 18, 1397, 5327, 5778, 276, 16, 502, 1373, 1791, 329, 703, 322, 17258, 18, 28413, 1743, 16, 374, 481, 22701, 541, 703, 2410, 36360, 18, 27252, 320, 2016, 22474, 3525, 289, 7766, 16, 289, 939, 4525, 639, 11187, 722, 36594, 18, 1937, 31004, 324, 6318, 9728, 453, 16, 502, 1450, 424, 3941, 1684, 18070, 10536, 861, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 22122, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 38654, 2362, 470, 8519, 282, 2706, 13573, 14925, 32948, 2422, 334, 43532, 44715, 16, 5095, 14760, 12320, 451, 8054, 9905, 20834, 3517, 7578, 18, 4798, 16544, 432, 2097, 1738, 345, 360, 20072, 6271, 349, 13668, 334, 2273, 4032, 6005, 1703, 6759, 2675, 478, 38654, 2362, 470, 685, 373, 13155, 299, 928, 16, 5542, 10531, 10933, 14697, 18, 31224, 30, 2997, 671, 1501, 9905, 20834, 3517, 7578, 4424, 21190, 33788, 10845, 478, 38654, 2362, 470, 282, 5630, 2706, 13573, 14925, 32948, 2422, 18, 6592, 3352, 16, 3043, 13360, 309, 3614, 9630, 16, 1756, 282, 16445, 13983, 14526, 37712, 7462, 16854, 2341, 4030, 7365, 448, 7005, 32196, 17, 42488, 3416, 282, 5021, 1045, 18, 824, 36233, 32410, 9811, 334, 37428, 18175, 47568, 6654, 29, 3763, 13, 9670, 478, 38654, 2362, 470, 3164, 309, 1533, 17, 277, 2468, 282, 2968, 16, 1833, 1011, 15727, 1683, 665, 354, 1185, 17402, 1418, 5105, 69, 13949, 47568, 8081, 28, 3763, 814, 824, 36233, 15891, 9811, 47568, 2783, 22, 3763, 13, 9225, 1281, 17, 306, 10839, 18, 14373, 1756, 282, 9146, 6160, 9914, 22170, 16469, 1106, 4306, 9905, 10807, 18, 9873, 478, 38654, 8366, 470, 2496, 17310, 13764, 334, 4982, 395, 32410, 289, 15891, 9811, 349, 5021, 1205, 282, 25902, 9905, 20834, 3517, 7578, 30519, 4364, 1223, 1421, 13269, 7462, 4173, 289, 1003, 1143, 537, 2236, 7179, 18, 38160, 10050, 34750, 5998, 478, 38654, 8366, 470, 282, 28731, 1045, 16, 282, 970, 2875, 334, 26017, 8570, 9163, 5781, 5447, 4568, 22240, 18, 1681, 44244, 1812, 16, 374, 478, 38654, 2362, 470, 4362, 478, 872, 3259, 17234, 7462, 9364, 16, 3471, 2854, 3772, 282, 4772, 289, 6196, 39838, 2630, 309, 11336, 861, 16318, 2444, 1038, 309, 14108, 26421, 7583, 14925, 513, 5885, 3741, 19565, 282, 5118, 281, 4099, 966, 16799, 1525, 16, 13524, 2854, 282, 8183, 282, 2343, 3802, 4479, 779, 18, 824, 27053, 5117, 16, 3623, 16, 13976, 5447, 3533, 343, 289, 9726, 1508, 478, 38654, 2362, 470, 2826, 34271, 6571, 29004, 16, 32629, 14697, 18, 2046, 334, 43190, 32534, 3785, 9478, 37067, 29723, 2381, 28799, 30, 282, 5021, 1045, 478, 38654, 2362, 470, 6981, 501, 1488, 16, 27, 3763, 1135, 16, 1655, 428, 1185, 17402, 1418, 5105, 69, 510, 12911, 3763, 1135, 18, 478, 732, 12498, 439, 1182, 1098, 21576, 11024, 334, 6049, 395, 282, 28227, 15596, 16, 510, 10050, 17872, 24927, 1831, 18, 1572, 9810, 34700, 4929, 18, 510, 39817, 16, 2588, 4263, 8054, 16, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3476, 16410, 906, 16244, 18, 640, 1040, 464, 575, 475, 639, 16859, 18, 10118, 16, 374, 417, 8782, 844, 332, 10133, 939, 1904, 16, 289, 4369, 6915, 2500, 15406, 18, 629, 722, 590, 7470, 1909, 18, 740, 827, 373, 282, 1851, 17, 299, 2083, 4369, 6915, 33795, 282, 9547, 16, 502, 1655, 10133, 3147, 757, 10416, 3124, 14643, 18, 450, 1557, 324, 867, 16, 428, 32026, 18, 629, 3716, 322, 11642, 7739, 2827, 1329, 2048, 18, 996, 374, 16511, 417, 31635, 18, 1787, 703, 639, 4836, 18908, 8195, 289, 281, 2184, 417, 497, 8360, 18, 510, 1012, 282, 4722, 445, 14725, 349, 18823, 282, 5049, 1045, 18, 14556, 387, 1974, 281, 17382, 14325, 1345, 328, 2344, 898, 282, 10434, 16, 1441, 678, 282, 2107, 5703, 18, 510, 385, 640, 1485, 417, 906, 282, 10434, 282, 7520, 1045, 18, 2877, 1215, 3433, 590, 4111, 18, 3759, 722, 475, 9784, 467, 651, 481, 12387, 4960, 282, 6104, 18, 42026, 16, 374, 678, 813, 939, 1904, 10219, 16, 44336, 18, 740, 282, 1320, 808, 10219, 16, 785, 1882, 322, 24613, 18, 510, 1012, 1800, 12362, 34767, 30107, 35, 510, 629, 651, 4487, 414, 11287, 18, 365, 46848, 1513, 14393, 874, 475, 26345, 460, 16, 515, 481, 44384, 473, 272, 1018, 807, 484, 814, 1937, 417, 1857, 7803, 10793, 30107, 16, 502, 2060, 16, 374, 784, 334, 26246, 1684, 18070, 10536, 18, 17829, 5768, 282, 1190, 329, 703, 912, 18, 740, 2552, 1119, 20166, 10793, 30107, 4385, 16, 2686, 281, 13071, 9648, 16, 428, 1513, 6281, 282, 3591, 4096, 18, 3397, 2447, 935, 749, 15477, 22122, 507, 1684, 18070, 10536, 18, 510, 608, 1304, 1272, 17799, 35, 510, 981, 16, 367, 1223, 282, 3212, 10434, 2846, 1631, 18, 24862, 17799, 329, 703, 1003, 651, 481, 575, 322, 12544, 670, 19329, 18, 996, 374, 329, 703, 475, 38578, 18, 1397, 5327, 6250, 483, 16, 502, 309, 1176, 38823, 1176, 9680, 16, 309, 5421, 895, 2107, 16, 367, 309, 1851, 17, 299, 289, 5826, 18, 2465, 453, 8030, 289, 36871, 3624, 18, 510, 3654, 2776, 31536, 2785, 465, 32863, 7732, 282, 2968, 35, 510, 1253, 651, 6917, 10664, 549, 18, 889, 722, 1678, 23763, 12483, 18, 4988, 1494, 1513, 1717, 1684, 10654, 874, 16, 453, 428, 678, 9988, 309, 12647, 2493, 4163, 18, 996, 374, 309, 5734, 2083, 678, 2826, 6917, 23093, 282, 2968, 18, 510, 985, 1337, 1187, 798, 35, 510, 640, 1040, 464, 16, 827, 8602, 16, 906, 28075, 8087, 309, 9547, 289, 322, 8491, 334, 11922, 18, 439, 453, 784, 1373, 475, 939, 5550, 18, 14097, 319, 1373, 282, 9720, 18, 510, 19183, 642, 6991, 18908, 282, 21555, 282, 37561, 8267, 35, 510, 14092, 306, 475, 16, 374, 360, 703, 8166, 18, 385, 2733, 575, 4195, 339, 9811, 289, 6247, 11667, 18, 1303, 6354, 6281, 282, 3591, 1119, 18, 510, 365, 23376, 6280, 781, 349, 18823, 35, 510, 7909, 1381, 3336, 6863, 16, 367, 971, 1142, 272, 18, 10319, 8324, 287, 307, 1011, 7977, 32483, 27077, 7739, 2827, 16, 30634, 16, 374, 371, 1574, 9547, 31004, 324, 298, 1406, 329, 1710, 1139, 322, 639, 20163, 18, 478, 15883, 784, 639, 939, 4525, 16, 510, 2323, 678, 18, 651, 1253, 22474, 939, 11723, 289, 322, 281, 4622, 12143, 3196, 712, 18, 629, 7199, 22829, 309, 4674, 1616, 16, 10660, 7174, 455, 16, 2686, 31004, 324, 6318, 7766, 289, 3525, 27547, 16, 453, 374, 784, 1833, 6898, 33621, 360, 21222, 5625, 18, 14382, 1715, 322, 14772, 15406, 18, 1397, 5327, 5778, 276, 16, 502, 1373, 1791, 329, 703, 322, 17258, 18, 28413, 1743, 16, 374, 481, 22701, 541, 703, 2410, 36360, 18, 27252, 320, 2016, 22474, 3525, 289, 7766, 16, 289, 939, 4525, 639, 11187, 722, 36594, 18, 1937, 31004, 324, 6318, 9728, 453, 16, 502, 1450, 424, 3941, 1684, 18070, 10536, 861, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 22122, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 38654, 2362, 470, 8519, 282, 2706, 13573, 14925, 32948, 2422, 334, 43532, 44715, 16, 5095, 14760, 12320, 451, 8054, 9905, 20834, 3517, 7578, 18, 4798, 16544, 432, 2097, 1738, 345, 360, 20072, 6271, 349, 13668, 334, 2273, 4032, 6005, 1703, 6759, 2675, 478, 38654, 2362, 470, 685, 373, 13155, 299, 928, 16, 5542, 10531, 10933, 14697, 18, 31224, 30, 2997, 671, 1501, 9905, 20834, 3517, 7578, 4424, 21190, 33788, 10845, 478, 38654, 2362, 470, 282, 5630, 2706, 13573, 14925, 32948, 2422, 18, 6592, 3352, 16, 3043, 13360, 309, 3614, 9630, 16, 1756, 282, 16445, 13983, 14526, 37712, 7462, 16854, 2341, 4030, 7365, 448, 7005, 32196, 17, 42488, 3416, 282, 5021, 1045, 18, 824, 36233, 32410, 9811, 334, 37428, 18175, 47568, 6654, 29, 3763, 13, 9670, 478, 38654, 2362, 470, 3164, 309, 1533, 17, 277, 2468, 282, 2968, 16, 1833, 1011, 15727, 1683, 665, 354, 1185, 17402, 1418, 5105, 69, 13949, 47568, 8081, 28, 3763, 814, 824, 36233, 15891, 9811, 47568, 2783, 22, 3763, 13, 9225, 1281, 17, 306, 10839, 18, 14373, 1756, 282, 9146, 6160, 9914, 22170, 16469, 1106, 4306, 9905, 10807, 18, 9873, 478, 38654, 8366, 470, 2496, 17310, 13764, 334, 4982, 395, 32410, 289, 15891, 9811, 349, 5021, 1205, 282, 25902, 9905, 20834, 3517, 7578, 30519, 4364, 1223, 1421, 13269, 7462, 4173, 289, 1003, 1143, 537, 2236, 7179, 18, 38160, 10050, 34750, 5998, 478, 38654, 8366, 470, 282, 28731, 1045, 16, 282, 970, 2875, 334, 26017, 8570, 9163, 5781, 5447, 4568, 22240, 18, 1681, 44244, 1812, 16, 374, 478, 38654, 2362, 470, 4362, 478, 872, 3259, 17234, 7462, 9364, 16, 3471, 2854, 3772, 282, 4772, 289, 6196, 39838, 2630, 309, 11336, 861, 16318, 2444, 1038, 309, 14108, 26421, 7583, 14925, 513, 5885, 3741, 19565, 282, 5118, 281, 4099, 966, 16799, 1525, 16, 13524, 2854, 282, 8183, 282, 2343, 3802, 4479, 779, 18, 824, 27053, 5117, 16, 3623, 16, 13976, 5447, 3533, 343, 289, 9726, 1508, 478, 38654, 2362, 470, 2826, 34271, 6571, 29004, 16, 32629, 14697, 18, 2046, 334, 43190, 32534, 3785, 9478, 37067, 29723, 2381, 28799, 30, 282, 5021, 1045, 478, 38654, 2362, 470, 6981, 501, 1488, 16, 27, 3763, 1135, 16, 1655, 428, 1185, 17402, 1418, 5105, 69, 510, 12911, 3763, 1135, 18, 478, 732, 12498, 439, 1182, 1098, 21576, 11024, 334, 6049, 395, 282, 28227, 15596, 16, 510, 10050, 17872, 24927, 1831, 18, 1572, 9810, 34700, 4929, 18, 510, 39817, 16, 2588, 4263, 8054, 16, 322 ]
[ 3744, 1893, 2097, 1738, 345, 16, 961, 478, 38654, 2362, 470, 10047, 360, 20072, 6271, 16, 7294, 1587, 334, 2273, 4032, 6005, 1703, 6759, 2675, 18, 35057, 12175, 1139, 510, 4445, 5024, 411, 20446, 11861, 861, 36844, 2097, 1738, 345, 1494, 906, 25565, 2734, 520, 322, 7904, 31537, 18, 824, 25036, 21486, 34273, 14971, 16, 481, 7431, 4843, 16041, 3763, 282, 1205, 18, 5333, 2175, 16, 749, 2097, 1738, 345, 478, 38654, 2362, 470, 13155, 299, 928, 18, 2046, 16, 4813, 309, 475, 22807, 7597, 289, 9868, 43816, 26581, 870, 39594, 16, 46931, 30384, 334, 2273, 4032, 6005, 1703, 6759, 2675, 9280, 7083, 1954, 289, 8620, 540, 334, 17, 6093, 44899, 280, 324, 428, 541, 1175, 16, 453, 289, 541, 5538, 18, 478, 41342, 7851, 7339, 639, 16122, 334, 17, 15253, 910, 510, 2548, 9216, 41744, 7851, 1161, 2241, 30340, 838, 2531, 9715, 24142, 333, 18, 824, 505, 3163, 16, 1543, 575, 1185, 17402, 1418, 5105, 69, 10047, 4388, 360, 4095, 6961, 3416, 289, 7634, 9302, 432, 22240, 16, 1830, 16, 2091, 16, 2900, 8214, 22184, 16, 428, 329, 478, 38654, 8366, 470, 360, 2097, 1738, 345, 16, 1003, 537, 329, 2616, 18, 478, 19021, 1884, 662, 478, 38654, 8366, 470, 10219, 16, 374, 749, 2097, 1738, 345, 6049, 4139, 5510, 3785, 840, 49991, 3328, 16, 510, 2548, 34700, 4929, 18, 510, 832, 7280, 1314, 5942, 802, 3193, 334, 48865, 7321, 16, 753, 294, 3734, 1045, 16, 785, 8183, 9105, 20372, 16, 6863, 309, 5040, 45205, 617, 861, 824, 4734, 14971, 16, 5487, 12182, 1011, 924, 16, 428, 9798, 6700, 35544, 25734, 47868, 7408, 27668, 2019, 1577, 411, 439, 35755, 478, 49313, 470, 17711, 42593, 512, 1624, 942, 13363, 428, 45813, 18, 889, 9795, 4504, 21069, 14600, 16, 24560, 17240, 473, 275, 2343, 5021, 779, 478, 38654, 2362, 470, 2815, 290, 5009, 4840, 519, 491, 2634, 6814, 934, 35000, 4504, 16572, 25146, 13509, 289, 9795, 4504, 6759, 7310, 5324, 18, 365, 4810, 16, 282, 5975, 808, 478, 38654, 2362, 470, 33890, 13049, 309, 14496, 5395, 5814, 18, 478, 2176, 1967, 24643, 11116, 1143, 19151, 842, 432, 38618, 16, 282, 7573, 34300, 22201, 17, 16184, 16, 961, 282, 5975, 808, 2950, 26011, 16, 510, 2548, 9715, 24142, 333, 18, 510, 2101, 3922, 2976, 2232, 30199, 2756, 1033, 6577, 416, 16, 14377, 416, 289, 29616, 16, 828, 3255, 861, 740, 3111, 290, 48311, 7823, 2241, 289, 290, 970, 16, 19471, 520, 678, 1858, 309, 46452, 35672, 28799, 1011, 3734, 779, 16, 1055, 4525, 18, 2, 1, 87, 1456, 81, 2448, 30, 42945, 307, 2634, 37850, 29626, 13712, 282, 5214, 1241, 1592, 16, 4586, 1100, 274, 1279, 22797, 19750, 4830, 23772, 35945, 14294, 440, 18, 30258, 12865, 16843, 2858, 24118, 3920, 16, 428, 8396, 1176, 1135, 3994, 18, 3739, 537, 1176, 21061, 778, 4770, 322, 36867, 453, 3964, 16, 428, 14294, 440, 16, 282, 20701, 9193, 1190, 4519, 668, 5494, 16, 12698, 12189, 18, 5857, 489, 343, 3219, 3519, 21935, 7099, 9874, 4075, 16, 9980, 478, 12833, 8274, 49135, 871, 861, 31224, 30, 21286, 1412, 1156, 2634, 1135, 7451, 309, 8417, 457, 1408, 312, 269, 282, 5214, 1241, 1592, 16, 753, 18311, 1595, 19427, 1279, 43579, 282, 12128, 12832, 31481, 1066, 16, 1978, 1378, 12984, 23772, 15508, 304, 14294, 440, 1624, 3110, 21408, 18, 640, 13519, 11056, 492, 33362, 9550, 1637, 16, 11534, 14225, 1815, 22141, 6677, 21897, 30, 5938, 2766, 272, 16, 4770, 1133, 4075, 2955, 19749, 11403, 282, 12564, 16, 1055, 322, 840, 9272, 3655, 12760, 18, 9873, 19603, 282, 25223, 16, 5524, 12223, 14294, 440, 16, 5130, 381, 3947, 13882, 23038, 4830, 7099, 9874, 9980, 7272, 16, 10908, 735, 1733, 14075, 9377, 16, 28674, 289, 40183, 7402, 2675, 18, 985, 10824, 583, 5037, 4000, 16, 1568, 1943, 26814, 1186, 35972, 567, 808, 4193, 434, 10485, 18, 34717, 40923, 282, 25546, 13487, 282, 3932, 516, 10882, 16, 309, 5421, 1119, 1011, 31950, 9550, 2857, 18, 4707, 6809, 783, 10180, 3391, 14294, 440, 282, 1804, 14948, 26219, 49207, 464, 289, 7600, 21732, 2181, 2516, 9377, 31, 1634, 21669, 21854, 7934, 11065, 1333, 651, 428, 49027, 16, 453, 289, 21081, 432, 510, 45950, 13761, 309, 7626, 18, 6373, 411, 23572, 11871, 1437, 906, 6517, 6521, 309, 12241, 18, 41297, 1505, 8296, 19762, 1038, 8056, 282, 2215, 950, 16, 7188, 599, 800, 16, 3569, 1919, 289, 1888, 10705, 16, 23948, 282, 15604, 464, 5217, 40457, 18, 478, 29579, 6696, 3915, 10342, 4271, 510, 7709, 488, 6406, 16805, 309, 457, 1408, 312, 269, 282, 1241, 265, 298, 18, 4824, 411, 19427, 3920, 11463, 19908, 266, 281, 23705, 478, 983, 35226, 17, 32512, 10987, 263, 470, 39487, 35972, 910, 2107, 47220, 37850, 29626, 294, 2954, 2818, 17320, 2506, 954, 18, 17135, 1157, 14294, 440, 30224, 14704, 30490, 4830, 282, 970, 16, 374, 492, 9600, 16151, 294, 478, 399, 2025, 356, 2818, 470, 39051, 12456, 19297, 18, 9920, 28923, 3412, 49994, 22588, 11087, 4869, 281, 31775, 30, 1279, 8182, 1512, 16, 10417, 2339, 12052, 282, 5722, 2127, 23981, 16, 685, 2714, 286, 12675, 2649, 15584, 2303, 18, 967, 1987, 913, 46281, 3994, 16279, 17, 7745, 4322, 16, 19299, 11970, 2954, 18, 985, 41988, 531, 3430, 778, 24036, 3783, 1442, 5266, 73, 15157, 16, 4913, 2236, 411, 5183, 1663, 712, 25905, 282, 3198, 10017, 2514, 19010, 16, 14380, 434, 40184, 309, 2303, 18, 4712, 1368, 1157, 30490, 4830, 16, 8380, 3793, 294, 36400, 478, 983, 35226, 17, 32512, 10987, 263, 470, 1624, 437, 2069, 3033, 21648, 3091, 2998, 289, 5848, 24118, 282, 8156, 14294, 440, 18, 478, 4670, 936, 560, 294, 2954, 2818, 17320, 2506, 954, 289, 32430, 1876, 1747, 23721, 18863, 22406, 282, 5118, 281, 9449, 16, 32362, 9550, 2857, 322, 12350, 910, 510, 2815, 5037, 14392, 4830, 1895, 2503, 264, 3766, 17, 789, 1408, 354, 420, 282, 7337, 9577, 1918, 3783, 17, 44, 1201, 532, 18, 26293, 1637, 14225, 305, 22141, 4830, 935, 334, 7413, 281, 30370, 9449, 290, 8169, 547, 9524, 16, 1097, 401, 5583, 371, 768, 397, 307, 421, 31500, 947, 352, 16, 18584, 2712, 11350, 17, 9129, 303, 16145, 282, 25546, 1312, 420, 25345, 310, 282, 1360, 7481, 582, 282, 14415, 1273, 47199, 1072, 565, 1238, 22172, 18, 688, 46702, 451, 1568, 16, 31769, 26129, 32719, 1027, 13899, 421, 643, 2025, 343, 16, 30418, 11923, 17639, 6714, 16598, 434, 1631, 2654, 309, 4625, 289, 685, 9650, 286, 1223, 1293, 4776, 2158 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3744, 1893, 2097, 1738, 345, 16, 961, 478, 38654, 2362, 470, 10047, 360, 20072, 6271, 16, 7294, 1587, 334, 2273, 4032, 6005, 1703, 6759, 2675, 18, 35057, 12175, 1139, 510, 4445, 5024, 411, 20446, 11861, 861, 36844, 2097, 1738, 345, 1494, 906, 25565, 2734, 520, 322, 7904, 31537, 18, 824, 25036, 21486, 34273, 14971, 16, 481, 7431, 4843, 16041, 3763, 282, 1205, 18, 5333, 2175, 16, 749, 2097, 1738, 345, 478, 38654, 2362, 470, 13155, 299, 928, 18, 2046, 16, 4813, 309, 475, 22807, 7597, 289, 9868, 43816, 26581, 870, 39594, 16, 46931, 30384, 334, 2273, 4032, 6005, 1703, 6759, 2675, 9280, 7083, 1954, 289, 8620, 540, 334, 17, 6093, 44899, 280, 324, 428, 541, 1175, 16, 453, 289, 541, 5538, 18, 478, 41342, 7851, 7339, 639, 16122, 334, 17, 15253, 910, 510, 2548, 9216, 41744, 7851, 1161, 2241, 30340, 838, 2531, 9715, 24142, 333, 18, 824, 505, 3163, 16, 1543, 575, 1185, 17402, 1418, 5105, 69, 10047, 4388, 360, 4095, 6961, 3416, 289, 7634, 9302, 432, 22240, 16, 1830, 16, 2091, 16, 2900, 8214, 22184, 16, 428, 329, 478, 38654, 8366, 470, 360, 2097, 1738, 345, 16, 1003, 537, 329, 2616, 18, 478, 19021, 1884, 662, 478, 38654, 8366, 470, 10219, 16, 374, 749, 2097, 1738, 345, 6049, 4139, 5510, 3785, 840, 49991, 3328, 16, 510, 2548, 34700, 4929, 18, 510, 832, 7280, 1314, 5942, 802, 3193, 334, 48865, 7321, 16, 753, 294, 3734, 1045, 16, 785, 8183, 9105, 20372, 16, 6863, 309, 5040, 45205, 617, 861, 824, 4734, 14971, 16, 5487, 12182, 1011, 924, 16, 428, 9798, 6700, 35544, 25734, 47868, 7408, 27668, 2019, 1577, 411, 439, 35755, 478, 49313, 470, 17711, 42593, 512, 1624, 942, 13363, 428, 45813, 18, 889, 9795, 4504, 21069, 14600, 16, 24560, 17240, 473, 275, 2343, 5021, 779, 478, 38654, 2362, 470, 2815, 290, 5009, 4840, 519, 491, 2634, 6814, 934, 35000, 4504, 16572, 25146, 13509, 289, 9795, 4504, 6759, 7310, 5324, 18, 365, 4810, 16, 282, 5975, 808, 478, 38654, 2362, 470, 33890, 13049, 309, 14496, 5395, 5814, 18, 478, 2176, 1967, 24643, 11116, 1143, 19151, 842, 432, 38618, 16, 282, 7573, 34300, 22201, 17, 16184, 16, 961, 282, 5975, 808, 2950, 26011, 16, 510, 2548, 9715, 24142, 333, 18, 510, 2101, 3922, 2976, 2232, 30199, 2756, 1033, 6577, 416, 16, 14377, 416, 289, 29616, 16, 828, 3255, 861, 740, 3111, 290, 48311, 7823, 2241, 289, 290, 970, 16, 19471, 520, 678, 1858, 309, 46452, 35672, 28799, 1011, 3734, 779, 16, 1055, 4525, 18, 2, 1, 87, 1456, 81, 2448, 30, 42945, 307, 2634, 37850, 29626, 13712, 282, 5214, 1241, 1592, 16, 4586, 1100, 274, 1279, 22797, 19750, 4830, 23772, 35945, 14294, 440, 18, 30258, 12865, 16843, 2858, 24118, 3920, 16, 428, 8396, 1176, 1135, 3994, 18, 3739, 537, 1176, 21061, 778, 4770, 322, 36867, 453, 3964, 16, 428, 14294, 440, 16, 282, 20701, 9193, 1190, 4519, 668, 5494, 16, 12698, 12189, 18, 5857, 489, 343, 3219, 3519, 21935, 7099, 9874, 4075, 16, 9980, 478, 12833, 8274, 49135, 871, 861, 31224, 30, 21286, 1412, 1156, 2634, 1135, 7451, 309, 8417, 457, 1408, 312, 269, 282, 5214, 1241, 1592, 16, 753, 18311, 1595, 19427, 1279, 43579, 282, 12128, 12832, 31481, 1066, 16, 1978, 1378, 12984, 23772, 15508, 304, 14294, 440, 1624, 3110, 21408, 18, 640, 13519, 11056, 492, 33362, 9550, 1637, 16, 11534, 14225, 1815, 22141, 6677, 21897, 30, 5938, 2766, 272, 16, 4770, 1133, 4075, 2955, 19749, 11403, 282, 12564, 16, 1055, 322, 840, 9272, 3655, 12760, 18, 9873, 19603, 282, 25223, 16, 5524, 12223, 14294, 440, 16, 5130, 381, 3947, 13882, 23038, 4830, 7099, 9874, 9980, 7272, 16, 10908, 735, 1733, 14075, 9377, 16, 28674, 289, 40183, 7402, 2675, 18, 985, 10824, 583, 5037, 4000, 16, 1568, 1943, 26814, 1186, 35972, 567, 808, 4193, 434, 10485, 18, 34717, 40923, 282, 25546, 13487, 282, 3932, 516, 10882, 16, 309, 5421, 1119, 1011, 31950, 9550, 2857, 18, 4707, 6809, 783, 10180, 3391, 14294, 440, 282, 1804, 14948, 26219, 49207, 464, 289, 7600, 21732, 2181, 2516, 9377, 31, 1634, 21669, 21854, 7934, 11065, 1333, 651, 428, 49027, 16, 453, 289, 21081, 432, 510, 45950, 13761, 309, 7626, 18, 6373, 411, 23572, 11871, 1437, 906, 6517, 6521, 309, 12241, 18, 41297, 1505, 8296, 19762, 1038, 8056, 282, 2215, 950, 16, 7188, 599, 800, 16, 3569, 1919, 289, 1888, 10705, 16, 23948, 282, 15604, 464, 5217, 40457, 18, 478, 29579, 6696, 3915, 10342, 4271, 510, 7709, 488, 6406, 16805, 309, 457, 1408, 312, 269, 282, 1241, 265, 298, 18, 4824, 411, 19427, 3920, 11463, 19908, 266, 281, 23705, 478, 983, 35226, 17, 32512, 10987, 263, 470, 39487, 35972, 910, 2107, 47220, 37850, 29626, 294, 2954, 2818, 17320, 2506, 954, 18, 17135, 1157, 14294, 440, 30224, 14704, 30490, 4830, 282, 970, 16, 374, 492, 9600, 16151, 294, 478, 399, 2025, 356, 2818, 470, 39051, 12456, 19297, 18, 9920, 28923, 3412, 49994, 22588, 11087, 4869, 281, 31775, 30, 1279, 8182, 1512, 16, 10417, 2339, 12052, 282, 5722, 2127, 23981, 16, 685, 2714, 286, 12675, 2649, 15584, 2303, 18, 967, 1987, 913, 46281, 3994, 16279, 17, 7745, 4322, 16, 19299, 11970, 2954, 18, 985, 41988, 531, 3430, 778, 24036, 3783, 1442, 5266, 73, 15157, 16, 4913, 2236, 411, 5183, 1663, 712, 25905, 282, 3198, 10017, 2514, 19010, 16, 14380, 434, 40184, 309, 2303, 18, 4712, 1368, 1157, 30490, 4830, 16, 8380, 3793, 294, 36400, 478, 983, 35226, 17, 32512, 10987, 263, 470, 1624, 437, 2069, 3033, 21648, 3091, 2998, 289, 5848, 24118, 282, 8156, 14294, 440, 18, 478, 4670, 936, 560, 294, 2954, 2818, 17320, 2506, 954, 289, 32430, 1876, 1747, 23721, 18863, 22406, 282, 5118, 281, 9449, 16, 32362, 9550, 2857, 322, 12350, 910, 510, 2815, 5037, 14392, 4830, 1895, 2503, 264, 3766, 17, 789, 1408, 354, 420, 282, 7337, 9577, 1918, 3783, 17, 44, 1201, 532, 18, 26293, 1637, 14225, 305, 22141, 4830, 935, 334, 7413, 281, 30370, 9449, 290, 8169, 547, 9524, 16, 1097, 401, 5583, 371, 768, 397, 307, 421, 31500, 947, 352, 16, 18584, 2712, 11350, 17, 9129, 303, 16145, 282, 25546, 1312, 420, 25345, 310, 282, 1360, 7481, 582, 282, 14415, 1273, 47199, 1072, 565, 1238, 22172, 18, 688, 46702, 451, 1568, 16, 31769, 26129, 32719, 1027, 13899, 421, 643, 2025, 343, 16, 30418, 11923, 17639, 6714, 16598, 434, 1631, 2654, 309, 4625, 289, 685, 9650, 286, 1223, 1293, 4776, 2158 ]
[ 16, 1011, 13863, 28628, 10342, 18, 29322, 343, 14294, 440, 11534, 25728, 1617, 22141, 9600, 6411, 16, 374, 1314, 4770, 21897, 322, 13978, 31441, 37731, 477, 1963, 6233, 16, 8120, 432, 21746, 670, 4257, 18, 824, 3163, 25345, 555, 16, 537, 1176, 37718, 9216, 2553, 651, 537, 421, 31500, 947, 16, 537, 19447, 433, 5714, 2429, 6928, 3045, 651, 322, 36867, 453, 3964, 282, 20701, 9193, 1190, 4519, 668, 5494, 16, 428, 14294, 440, 18, 365, 10666, 4770, 21897, 7609, 10927, 281, 32571, 19142, 16, 9666, 1757, 282, 4307, 3450, 8448, 1066, 36133, 1037, 6710, 16, 753, 17705, 12520, 9959, 17198, 12142, 18, 15556, 19142, 4419, 9130, 1909, 2954, 294, 16094, 32430, 582, 282, 8408, 19762, 1279, 22797, 37965, 19750, 16, 961, 9600, 23817, 20840, 4000, 1195, 29924, 2495, 6694, 2891, 18, 1591, 12241, 5475, 7276, 4653, 10491, 294, 6268, 954, 6356, 16, 7206, 50072, 35052, 10839, 541, 1223, 16507, 15948, 18, 985, 9848, 3781, 17, 15975, 4830, 629, 440, 269, 7362, 16, 14294, 440, 6877, 300, 19142, 16, 374, 505, 3193, 6535, 282, 4301, 5738, 289, 505, 19750, 18, 2949, 924, 16, 492, 22618, 14703, 306, 282, 970, 16, 374, 9550, 1637, 13494, 49741, 4004, 289, 1745, 406, 2175, 322, 5304, 25371, 309, 26751, 485, 18, 25652, 17, 15975, 9299, 16, 374, 4770, 322, 15279, 9650, 990, 1595, 2766, 670, 37709, 282, 1047, 26119, 18, 6592, 3251, 1147, 32477, 16, 6489, 17152, 282, 10666, 16, 14294, 440, 282, 20175, 281, 1551, 14060, 1038, 2815, 16, 374, 9874, 4075, 16, 961, 492, 11660, 478, 1369, 7546, 49135, 871, 910, 322, 2125, 13634, 1676, 19142, 680, 18980, 18, 34469, 16, 1474, 4651, 23536, 16, 322, 45670, 16, 290, 4700, 1717, 478, 275, 412, 3080, 292, 49135, 871, 470, 895, 4619, 4498, 18, 365, 502, 575, 808, 16, 428, 5301, 3783, 1442, 5266, 73, 15157, 16, 424, 481, 15790, 1698, 3858, 1291, 4075, 16, 34688, 2742, 2793, 16, 32416, 49642, 7080, 281, 4778, 17986, 16, 2097, 436, 41315, 14050, 18034, 289, 20961, 9322, 9047, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 7920, 16934, 334, 22647, 9942, 17397, 24262, 7960, 2815, 16, 374, 3702, 478, 26296, 350, 470, 322, 15907, 1024, 294, 24956, 1175, 282, 8144, 18, 824, 505, 4734, 16, 2650, 1623, 7008, 761, 5348, 2145, 282, 33657, 16, 26796, 289, 40673, 18, 20346, 13205, 4770, 36176, 28565, 3828, 16, 374, 19186, 12483, 10685, 281, 45914, 42200, 282, 8144, 478, 877, 429, 8273, 539, 22843, 485, 861, 31224, 30, 677, 48619, 6881, 16, 374, 10744, 13279, 4830, 5035, 35109, 28565, 367, 290, 9643, 2145, 282, 8144, 289, 478, 26296, 4642, 470, 1175, 322, 4247, 1329, 7203, 281, 1097, 19528, 18, 5309, 4520, 16, 334, 4734, 11919, 9391, 16, 1513, 6532, 13354, 23127, 1642, 18, 1367, 803, 282, 11877, 2815, 5037, 7920, 528, 822, 334, 22647, 9942, 17397, 24262, 7960, 18, 478, 6890, 6773, 10744, 34031, 5773, 18848, 318, 30, 2145, 1381, 371, 13627, 1190, 37063, 668, 8955, 1195, 39468, 16, 371, 1766, 743, 371, 803, 334, 4487, 38953, 4119, 1175, 289, 722, 17815, 334, 13450, 2818, 43492, 18, 2046, 481, 322, 2397, 1329, 7203, 281, 1097, 19528, 18, 3771, 16, 282, 6588, 360, 2145, 16, 3164, 282, 8144, 16, 753, 16930, 3961, 282, 8384, 281, 20448, 473, 11619, 4504, 32587, 282, 1175, 510, 478, 18386, 18, 8381, 12235, 35182, 2024, 16, 7089, 16, 9600, 1480, 4416, 22263, 1360, 27725, 309, 31930, 15939, 910, 510, 2815, 11919, 1502, 6080, 478, 13261, 861, 24262, 7960, 4725, 16, 374, 30225, 22723, 13608, 282, 8144, 2574, 9368, 281, 3251, 758, 13450, 3334, 23536, 18, 967, 803, 38400, 15466, 783, 281, 2689, 2855, 9728, 309, 2923, 385, 7290, 749, 9959, 41054, 11944, 18, 478, 4348, 37197, 289, 1432, 628, 330, 281, 46608, 16, 367, 322, 46387, 28647, 3819, 10125, 3672, 282, 1355, 721, 2200, 32700, 406, 27952, 18, 3771, 1038, 906, 9013, 289, 9013, 519, 4319, 1326, 16930, 3961, 282, 30804, 6238, 16207, 8292, 289, 16992, 35680, 4096, 282, 8144, 910, 510, 2815, 492, 18, 17397, 24262, 7960, 11836, 16, 374, 25254, 12483, 10008, 3885, 979, 4000, 309, 2095, 16, 478, 307, 1118, 322, 7197, 1579, 309, 2456, 2463, 290, 722, 2723, 763, 861, 36051, 575, 6688, 11531, 1812, 5037, 11896, 2407, 4210, 26319, 1624, 1029, 2815, 30, 478, 19696, 5175, 16, 18276, 9537, 5874, 309, 3885, 2553, 861, 478, 30991, 3702, 478, 26296, 350, 910, 9763, 16, 1745, 322, 25710, 2269, 281, 2759, 17036, 18, 11474, 16, 481, 20941, 2145, 349, 48818, 10460, 2151, 25012, 16, 1586, 9600, 4079, 4318, 1403, 10723, 16, 349, 683, 25325, 468, 40673, 16, 349, 7812, 282, 26796, 16, 1531, 3639, 668, 309, 5137, 1472, 478, 7809, 6589, 470, 1196, 1395, 382, 12949, 324, 33798, 46821, 18, 1606, 16, 3073, 16, 453, 289, 322, 10668, 16, 374, 34561, 7282, 910, 510, 18789, 492, 18, 7106, 16, 374, 10552, 5222, 2145, 36176, 28565, 641, 18562, 6551, 289, 22050, 349, 20966, 282, 8144, 18, 817, 8566, 478, 26296, 4520, 470, 3193, 4534, 289, 1782, 21358, 324, 282, 803, 23940, 18, 1367, 803, 28565, 2815, 567, 808, 22546, 3781, 17, 19858, 281, 7638, 17, 41854, 18769, 5573, 10202, 4019, 7676, 268, 35031, 1683, 18, 478, 563, 343, 1744, 16, 374, 281, 7774, 1231, 539, 5548, 9609, 16, 45914, 289, 2901, 17003, 1623, 14151, 536, 829, 4520, 18, 2787, 16, 374, 870, 1421, 2553, 22722, 7282, 281, 2994, 313, 5326, 17654, 528, 15760, 65, 282, 5975, 808, 16, 510, 481, 20941, 910, 510, 2815, 13205, 4770, 282, 1078, 309, 1247, 290, 17758, 282, 38773, 17654, 6470, 464, 18, 824, 4734, 34031, 16, 15998, 3300, 11673, 6684, 282, 8144, 510, 16536, 18981, 18, 478, 4348, 1122, 334, 2059, 17, 2004, 2209, 8386, 30, 11033, 360, 20448, 289, 6273, 3977, 18, 608, 813, 1003, 1888, 4284, 910, 510, 3828, 28565, 18, 4756, 16, 3703, 3750, 16, 3059, 8844, 2145, 371, 9085, 1651, 382, 20678, 326, 322, 5285, 5481, 31665, 16602, 334, 13450, 1703, 4154, 3250, 26246, 8144, 18, 967, 803, 25254, 12483, 3957, 8945, 1574, 4096, 18, 824, 722, 3163, 16, 22154, 322, 15419, 11392, 282, 5214, 13450, 718, 11220, 16, 2686, 3957, 4366, 13450, 4287, 16, 13081, 1587, 360, 42647, 6617, 18, 20678, 326, 39672, 16, 374, 5343, 478, 431, 731, 2285, 3672, 470, 13450, 718, 15465, 3495, 24211, 35251, 1624, 2391, 2145, 14888, 309, 1710, 11440, 18, 19065, 16, 374, 1939 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 1011, 13863, 28628, 10342, 18, 29322, 343, 14294, 440, 11534, 25728, 1617, 22141, 9600, 6411, 16, 374, 1314, 4770, 21897, 322, 13978, 31441, 37731, 477, 1963, 6233, 16, 8120, 432, 21746, 670, 4257, 18, 824, 3163, 25345, 555, 16, 537, 1176, 37718, 9216, 2553, 651, 537, 421, 31500, 947, 16, 537, 19447, 433, 5714, 2429, 6928, 3045, 651, 322, 36867, 453, 3964, 282, 20701, 9193, 1190, 4519, 668, 5494, 16, 428, 14294, 440, 18, 365, 10666, 4770, 21897, 7609, 10927, 281, 32571, 19142, 16, 9666, 1757, 282, 4307, 3450, 8448, 1066, 36133, 1037, 6710, 16, 753, 17705, 12520, 9959, 17198, 12142, 18, 15556, 19142, 4419, 9130, 1909, 2954, 294, 16094, 32430, 582, 282, 8408, 19762, 1279, 22797, 37965, 19750, 16, 961, 9600, 23817, 20840, 4000, 1195, 29924, 2495, 6694, 2891, 18, 1591, 12241, 5475, 7276, 4653, 10491, 294, 6268, 954, 6356, 16, 7206, 50072, 35052, 10839, 541, 1223, 16507, 15948, 18, 985, 9848, 3781, 17, 15975, 4830, 629, 440, 269, 7362, 16, 14294, 440, 6877, 300, 19142, 16, 374, 505, 3193, 6535, 282, 4301, 5738, 289, 505, 19750, 18, 2949, 924, 16, 492, 22618, 14703, 306, 282, 970, 16, 374, 9550, 1637, 13494, 49741, 4004, 289, 1745, 406, 2175, 322, 5304, 25371, 309, 26751, 485, 18, 25652, 17, 15975, 9299, 16, 374, 4770, 322, 15279, 9650, 990, 1595, 2766, 670, 37709, 282, 1047, 26119, 18, 6592, 3251, 1147, 32477, 16, 6489, 17152, 282, 10666, 16, 14294, 440, 282, 20175, 281, 1551, 14060, 1038, 2815, 16, 374, 9874, 4075, 16, 961, 492, 11660, 478, 1369, 7546, 49135, 871, 910, 322, 2125, 13634, 1676, 19142, 680, 18980, 18, 34469, 16, 1474, 4651, 23536, 16, 322, 45670, 16, 290, 4700, 1717, 478, 275, 412, 3080, 292, 49135, 871, 470, 895, 4619, 4498, 18, 365, 502, 575, 808, 16, 428, 5301, 3783, 1442, 5266, 73, 15157, 16, 424, 481, 15790, 1698, 3858, 1291, 4075, 16, 34688, 2742, 2793, 16, 32416, 49642, 7080, 281, 4778, 17986, 16, 2097, 436, 41315, 14050, 18034, 289, 20961, 9322, 9047, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 7920, 16934, 334, 22647, 9942, 17397, 24262, 7960, 2815, 16, 374, 3702, 478, 26296, 350, 470, 322, 15907, 1024, 294, 24956, 1175, 282, 8144, 18, 824, 505, 4734, 16, 2650, 1623, 7008, 761, 5348, 2145, 282, 33657, 16, 26796, 289, 40673, 18, 20346, 13205, 4770, 36176, 28565, 3828, 16, 374, 19186, 12483, 10685, 281, 45914, 42200, 282, 8144, 478, 877, 429, 8273, 539, 22843, 485, 861, 31224, 30, 677, 48619, 6881, 16, 374, 10744, 13279, 4830, 5035, 35109, 28565, 367, 290, 9643, 2145, 282, 8144, 289, 478, 26296, 4642, 470, 1175, 322, 4247, 1329, 7203, 281, 1097, 19528, 18, 5309, 4520, 16, 334, 4734, 11919, 9391, 16, 1513, 6532, 13354, 23127, 1642, 18, 1367, 803, 282, 11877, 2815, 5037, 7920, 528, 822, 334, 22647, 9942, 17397, 24262, 7960, 18, 478, 6890, 6773, 10744, 34031, 5773, 18848, 318, 30, 2145, 1381, 371, 13627, 1190, 37063, 668, 8955, 1195, 39468, 16, 371, 1766, 743, 371, 803, 334, 4487, 38953, 4119, 1175, 289, 722, 17815, 334, 13450, 2818, 43492, 18, 2046, 481, 322, 2397, 1329, 7203, 281, 1097, 19528, 18, 3771, 16, 282, 6588, 360, 2145, 16, 3164, 282, 8144, 16, 753, 16930, 3961, 282, 8384, 281, 20448, 473, 11619, 4504, 32587, 282, 1175, 510, 478, 18386, 18, 8381, 12235, 35182, 2024, 16, 7089, 16, 9600, 1480, 4416, 22263, 1360, 27725, 309, 31930, 15939, 910, 510, 2815, 11919, 1502, 6080, 478, 13261, 861, 24262, 7960, 4725, 16, 374, 30225, 22723, 13608, 282, 8144, 2574, 9368, 281, 3251, 758, 13450, 3334, 23536, 18, 967, 803, 38400, 15466, 783, 281, 2689, 2855, 9728, 309, 2923, 385, 7290, 749, 9959, 41054, 11944, 18, 478, 4348, 37197, 289, 1432, 628, 330, 281, 46608, 16, 367, 322, 46387, 28647, 3819, 10125, 3672, 282, 1355, 721, 2200, 32700, 406, 27952, 18, 3771, 1038, 906, 9013, 289, 9013, 519, 4319, 1326, 16930, 3961, 282, 30804, 6238, 16207, 8292, 289, 16992, 35680, 4096, 282, 8144, 910, 510, 2815, 492, 18, 17397, 24262, 7960, 11836, 16, 374, 25254, 12483, 10008, 3885, 979, 4000, 309, 2095, 16, 478, 307, 1118, 322, 7197, 1579, 309, 2456, 2463, 290, 722, 2723, 763, 861, 36051, 575, 6688, 11531, 1812, 5037, 11896, 2407, 4210, 26319, 1624, 1029, 2815, 30, 478, 19696, 5175, 16, 18276, 9537, 5874, 309, 3885, 2553, 861, 478, 30991, 3702, 478, 26296, 350, 910, 9763, 16, 1745, 322, 25710, 2269, 281, 2759, 17036, 18, 11474, 16, 481, 20941, 2145, 349, 48818, 10460, 2151, 25012, 16, 1586, 9600, 4079, 4318, 1403, 10723, 16, 349, 683, 25325, 468, 40673, 16, 349, 7812, 282, 26796, 16, 1531, 3639, 668, 309, 5137, 1472, 478, 7809, 6589, 470, 1196, 1395, 382, 12949, 324, 33798, 46821, 18, 1606, 16, 3073, 16, 453, 289, 322, 10668, 16, 374, 34561, 7282, 910, 510, 18789, 492, 18, 7106, 16, 374, 10552, 5222, 2145, 36176, 28565, 641, 18562, 6551, 289, 22050, 349, 20966, 282, 8144, 18, 817, 8566, 478, 26296, 4520, 470, 3193, 4534, 289, 1782, 21358, 324, 282, 803, 23940, 18, 1367, 803, 28565, 2815, 567, 808, 22546, 3781, 17, 19858, 281, 7638, 17, 41854, 18769, 5573, 10202, 4019, 7676, 268, 35031, 1683, 18, 478, 563, 343, 1744, 16, 374, 281, 7774, 1231, 539, 5548, 9609, 16, 45914, 289, 2901, 17003, 1623, 14151, 536, 829, 4520, 18, 2787, 16, 374, 870, 1421, 2553, 22722, 7282, 281, 2994, 313, 5326, 17654, 528, 15760, 65, 282, 5975, 808, 16, 510, 481, 20941, 910, 510, 2815, 13205, 4770, 282, 1078, 309, 1247, 290, 17758, 282, 38773, 17654, 6470, 464, 18, 824, 4734, 34031, 16, 15998, 3300, 11673, 6684, 282, 8144, 510, 16536, 18981, 18, 478, 4348, 1122, 334, 2059, 17, 2004, 2209, 8386, 30, 11033, 360, 20448, 289, 6273, 3977, 18, 608, 813, 1003, 1888, 4284, 910, 510, 3828, 28565, 18, 4756, 16, 3703, 3750, 16, 3059, 8844, 2145, 371, 9085, 1651, 382, 20678, 326, 322, 5285, 5481, 31665, 16602, 334, 13450, 1703, 4154, 3250, 26246, 8144, 18, 967, 803, 25254, 12483, 3957, 8945, 1574, 4096, 18, 824, 722, 3163, 16, 22154, 322, 15419, 11392, 282, 5214, 13450, 718, 11220, 16, 2686, 3957, 4366, 13450, 4287, 16, 13081, 1587, 360, 42647, 6617, 18, 20678, 326, 39672, 16, 374, 5343, 478, 431, 731, 2285, 3672, 470, 13450, 718, 15465, 3495, 24211, 35251, 1624, 2391, 2145, 14888, 309, 1710, 11440, 18, 19065, 16, 374, 1939 ]
[ 3750, 9805, 15417, 334, 371, 6952, 954, 11062, 280, 3920, 4546, 282, 8144, 7757, 424, 18528, 6965, 35345, 477, 1963, 15581, 411, 17654, 528, 15760, 18, 1681, 5627, 1038, 11596, 36856, 7428, 289, 18887, 651, 29140, 2364, 1533, 23806, 5303, 18, 25652, 17, 15975, 7179, 4830, 6370, 26334, 2815, 16, 374, 14267, 1175, 282, 11337, 13450, 933, 23806, 5303, 477, 1963, 2145, 289, 9085, 3929, 1794, 717, 4574, 758, 18, 478, 5786, 5428, 16, 374, 349, 6730, 282, 17654, 6470, 464, 21429, 8341, 518, 16, 1085, 15349, 18981, 16, 961, 334, 17, 6093, 1122, 12378, 18, 2255, 3771, 16, 537, 2901, 1183, 16, 537, 22050, 322, 10302, 294, 9044, 2567, 10263, 18, 4635, 745, 12596, 309, 4841, 282, 8144, 47228, 4351, 516, 13375, 281, 46608, 910, 651, 443, 4725, 26334, 18, 10192, 820, 5439, 8144, 4732, 16293, 15809, 334, 39891, 20448, 282, 17654, 6470, 464, 1281, 3750, 18, 21886, 16, 374, 6170, 435, 377, 344, 5800, 1122, 17567, 478, 618, 1707, 269, 367, 301, 17, 1464, 395, 470, 1624, 478, 1182, 686, 6002, 1187, 17, 730, 1408, 1496, 910, 478, 1916, 686, 766, 457, 1408, 312, 269, 367, 301, 17, 1464, 395, 470, 289, 478, 6727, 301, 3766, 17, 16376, 26942, 9254, 326, 1867, 7626, 10208, 8144, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 566, 742, 478, 789, 947, 1347, 470, 16095, 26749, 16748, 10824, 18326, 9410, 13270, 360, 478, 618, 1736, 47900, 470, 7242, 1941, 22232, 15465, 327, 12476, 1275, 18061, 44497, 18, 14427, 9680, 290, 353, 2607, 8860, 1024, 15761, 1496, 286, 2271, 2582, 16, 374, 282, 7756, 764, 1329, 322, 5416, 18, 31224, 30, 684, 3303, 1444, 12496, 454, 23708, 455, 14378, 37571, 478, 618, 1736, 23866, 470, 289, 478, 789, 947, 755, 470, 16581, 282, 4664, 304, 4349, 18, 14208, 873, 34447, 2615, 10133, 7756, 16, 515, 290, 353, 447, 4426, 4679, 1854, 2509, 9691, 395, 7737, 6863, 4024, 18, 1178, 282, 4056, 9547, 478, 789, 947, 755, 470, 7639, 965, 16352, 361, 2911, 16, 48253, 477, 12932, 816, 30, 21, 16, 502, 567, 2992, 290, 353, 447, 21755, 590, 46195, 538, 16, 9537, 4605, 282, 290, 551, 6189, 482, 18, 1665, 367, 7504, 30639, 1559, 316, 1414, 32733, 304, 2776, 312, 13408, 262, 651, 478, 789, 947, 755, 470, 4424, 282, 22979, 17, 21131, 322, 2564, 7926, 649, 8999, 21755, 18, 35975, 1791, 282, 5271, 8860, 1024, 15761, 1496, 798, 906, 29557, 35111, 4015, 4574, 382, 18, 4016, 17, 7745, 18319, 34698, 3064, 2507, 289, 25521, 7504, 10133, 18, 403, 10814, 541, 14928, 680, 26689, 16, 294, 6236, 1147, 2384, 1616, 39676, 39914, 8031, 811, 289, 2564, 4366, 1360, 10434, 18, 365, 6588, 360, 26034, 7977, 16, 6287, 35962, 5790, 5019, 862, 6993, 25471, 18, 2667, 16838, 2411, 16596, 10485, 4966, 2505, 16769, 26525, 2919, 702, 294, 6527, 16, 367, 6197, 590, 7121, 50172, 17716, 1272, 9410, 27580, 651, 2052, 884, 289, 21364, 15043, 18, 5227, 16, 3210, 16, 478, 618, 1736, 23866, 470, 17840, 289, 22111, 7623, 19957, 7889, 39172, 5409, 1344, 354, 18, 14208, 873, 281, 6525, 387, 793, 326, 16, 515, 1833, 1011, 924, 16, 428, 21364, 1275, 22850, 477, 11796, 16481, 10556, 1051, 16, 12055, 439, 546, 2440, 2820, 25440, 424, 34874, 888, 651, 430, 30, 20, 18, 5227, 17, 299, 4966, 289, 13370, 297, 751, 334, 17, 11863, 18, 24899, 24661, 9078, 6457, 1195, 22232, 16, 515, 290, 353, 447, 453, 11723, 25509, 371, 25152, 16, 374, 7193, 25734, 26749, 948, 401, 939, 7182, 48731, 12143, 381, 31277, 18, 1034, 5158, 8782, 844, 506, 329, 478, 789, 947, 1347, 470, 3237, 1011, 26919, 718, 10108, 30514, 4377, 401, 1624, 1029, 4686, 5155, 7379, 11868, 18061, 44497, 1624, 367, 2512, 764, 289, 279, 905, 7073, 1352, 16452, 265, 419, 18, 30858, 3033, 478, 618, 1736, 47900, 470, 15323, 10849, 16, 374, 16044, 322, 3973, 4202, 14384, 16, 367, 1548, 23233, 20391, 17, 295, 5172, 17058, 1223, 309, 1871, 7130, 18, 740, 478, 789, 947, 755, 470, 8532, 3032, 322, 29497, 16, 367, 29308, 16, 428, 5121, 16, 519, 2887, 3915, 7977, 360, 10687, 653, 7787, 322, 757, 18, 17580, 1939, 17, 25822, 343, 35244, 764, 6097, 37751, 21166, 2466, 15761, 1496, 798, 18, 5409, 1344, 266, 3202, 3287, 2505, 33722, 282, 5424, 409, 289, 282, 2343, 5462, 322, 22199, 271, 18, 6096, 8553, 306, 5937, 1146, 364, 46234, 282, 8999, 1011, 924, 16, 428, 5409, 1344, 266, 360, 5442, 15702, 1188, 1807, 1011, 4744, 820, 4926, 884, 18, 491, 30, 20, 510, 289, 17488, 478, 789, 947, 1347, 470, 322, 687, 282, 8267, 16, 515, 289, 282, 7756, 2458, 13168, 6993, 7466, 8634, 18, 4185, 15831, 649, 1907, 36462, 6380, 650, 7894, 7977, 16, 327, 12476, 4287, 2003, 639, 12631, 374, 17, 299, 17131, 3276, 2175, 18, 12824, 411, 16455, 26749, 16748, 49272, 311, 562, 45566, 1451, 46666, 18, 29308, 685, 14927, 286, 282, 18326, 42563, 294, 46152, 23003, 289, 5857, 11118, 18, 5043, 16, 16220, 478, 618, 1736, 47900, 470, 39630, 4618, 47650, 16, 374, 4446, 497, 11054, 2602, 309, 19957, 1472, 349, 2852, 1879, 519, 3915, 14515, 1939, 17, 25822, 382, 18, 15761, 1496, 286, 4726, 9372, 811, 281, 568, 3452, 2389, 6001, 26604, 4671, 700, 3583, 289, 12674, 697, 309, 19329, 448, 13871, 1013, 18, 459, 475, 17, 2767, 349, 17530, 8427, 519, 5251, 1809, 949, 16946, 481, 42563, 16, 3210, 16, 4198, 1323, 18, 46152, 2931, 38727, 46234, 1011, 4744, 820, 44497, 289, 14212, 722, 282, 478, 5486, 530, 454, 861, 23963, 1636, 675, 4749, 282, 327, 12476, 933, 33219, 14321, 20104, 332, 3215, 2156, 18, 4015, 4574, 343, 38766, 294, 34440, 24557, 289, 22930, 44108, 2948, 7977, 18, 816, 30, 21, 651, 2948, 26123, 7977, 289, 7756, 16, 282, 1754, 329, 478, 789, 947, 1347, 470, 20163, 5702, 15323, 2500, 18, 378, 274, 3407, 2117, 7756, 9934, 282, 46803, 282, 10882, 18, 478, 630, 636, 4966, 4300, 4732, 5199, 16, 656, 10258, 7653, 2992, 2849, 16, 367, 478, 789, 947, 755, 470, 651, 7504, 16, 651, 3153, 1011, 7977, 15761, 1496, 286, 18, 651, 5850, 977, 2197, 2117, 16, 656, 2125, 35560, 475, 8885, 16, 753, 18548, 18, 4320, 282, 1335, 7756, 764, 1329, 322, 5416, 861, 26749, 16748, 575, 4601, 1475, 309, 29934, 287, 4368, 5199, 44497, 18, 478, 3096, 453, 9988, 24883, 16, 428, 3813, 373, 16, 651, 5923, 505 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3750, 9805, 15417, 334, 371, 6952, 954, 11062, 280, 3920, 4546, 282, 8144, 7757, 424, 18528, 6965, 35345, 477, 1963, 15581, 411, 17654, 528, 15760, 18, 1681, 5627, 1038, 11596, 36856, 7428, 289, 18887, 651, 29140, 2364, 1533, 23806, 5303, 18, 25652, 17, 15975, 7179, 4830, 6370, 26334, 2815, 16, 374, 14267, 1175, 282, 11337, 13450, 933, 23806, 5303, 477, 1963, 2145, 289, 9085, 3929, 1794, 717, 4574, 758, 18, 478, 5786, 5428, 16, 374, 349, 6730, 282, 17654, 6470, 464, 21429, 8341, 518, 16, 1085, 15349, 18981, 16, 961, 334, 17, 6093, 1122, 12378, 18, 2255, 3771, 16, 537, 2901, 1183, 16, 537, 22050, 322, 10302, 294, 9044, 2567, 10263, 18, 4635, 745, 12596, 309, 4841, 282, 8144, 47228, 4351, 516, 13375, 281, 46608, 910, 651, 443, 4725, 26334, 18, 10192, 820, 5439, 8144, 4732, 16293, 15809, 334, 39891, 20448, 282, 17654, 6470, 464, 1281, 3750, 18, 21886, 16, 374, 6170, 435, 377, 344, 5800, 1122, 17567, 478, 618, 1707, 269, 367, 301, 17, 1464, 395, 470, 1624, 478, 1182, 686, 6002, 1187, 17, 730, 1408, 1496, 910, 478, 1916, 686, 766, 457, 1408, 312, 269, 367, 301, 17, 1464, 395, 470, 289, 478, 6727, 301, 3766, 17, 16376, 26942, 9254, 326, 1867, 7626, 10208, 8144, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 566, 742, 478, 789, 947, 1347, 470, 16095, 26749, 16748, 10824, 18326, 9410, 13270, 360, 478, 618, 1736, 47900, 470, 7242, 1941, 22232, 15465, 327, 12476, 1275, 18061, 44497, 18, 14427, 9680, 290, 353, 2607, 8860, 1024, 15761, 1496, 286, 2271, 2582, 16, 374, 282, 7756, 764, 1329, 322, 5416, 18, 31224, 30, 684, 3303, 1444, 12496, 454, 23708, 455, 14378, 37571, 478, 618, 1736, 23866, 470, 289, 478, 789, 947, 755, 470, 16581, 282, 4664, 304, 4349, 18, 14208, 873, 34447, 2615, 10133, 7756, 16, 515, 290, 353, 447, 4426, 4679, 1854, 2509, 9691, 395, 7737, 6863, 4024, 18, 1178, 282, 4056, 9547, 478, 789, 947, 755, 470, 7639, 965, 16352, 361, 2911, 16, 48253, 477, 12932, 816, 30, 21, 16, 502, 567, 2992, 290, 353, 447, 21755, 590, 46195, 538, 16, 9537, 4605, 282, 290, 551, 6189, 482, 18, 1665, 367, 7504, 30639, 1559, 316, 1414, 32733, 304, 2776, 312, 13408, 262, 651, 478, 789, 947, 755, 470, 4424, 282, 22979, 17, 21131, 322, 2564, 7926, 649, 8999, 21755, 18, 35975, 1791, 282, 5271, 8860, 1024, 15761, 1496, 798, 906, 29557, 35111, 4015, 4574, 382, 18, 4016, 17, 7745, 18319, 34698, 3064, 2507, 289, 25521, 7504, 10133, 18, 403, 10814, 541, 14928, 680, 26689, 16, 294, 6236, 1147, 2384, 1616, 39676, 39914, 8031, 811, 289, 2564, 4366, 1360, 10434, 18, 365, 6588, 360, 26034, 7977, 16, 6287, 35962, 5790, 5019, 862, 6993, 25471, 18, 2667, 16838, 2411, 16596, 10485, 4966, 2505, 16769, 26525, 2919, 702, 294, 6527, 16, 367, 6197, 590, 7121, 50172, 17716, 1272, 9410, 27580, 651, 2052, 884, 289, 21364, 15043, 18, 5227, 16, 3210, 16, 478, 618, 1736, 23866, 470, 17840, 289, 22111, 7623, 19957, 7889, 39172, 5409, 1344, 354, 18, 14208, 873, 281, 6525, 387, 793, 326, 16, 515, 1833, 1011, 924, 16, 428, 21364, 1275, 22850, 477, 11796, 16481, 10556, 1051, 16, 12055, 439, 546, 2440, 2820, 25440, 424, 34874, 888, 651, 430, 30, 20, 18, 5227, 17, 299, 4966, 289, 13370, 297, 751, 334, 17, 11863, 18, 24899, 24661, 9078, 6457, 1195, 22232, 16, 515, 290, 353, 447, 453, 11723, 25509, 371, 25152, 16, 374, 7193, 25734, 26749, 948, 401, 939, 7182, 48731, 12143, 381, 31277, 18, 1034, 5158, 8782, 844, 506, 329, 478, 789, 947, 1347, 470, 3237, 1011, 26919, 718, 10108, 30514, 4377, 401, 1624, 1029, 4686, 5155, 7379, 11868, 18061, 44497, 1624, 367, 2512, 764, 289, 279, 905, 7073, 1352, 16452, 265, 419, 18, 30858, 3033, 478, 618, 1736, 47900, 470, 15323, 10849, 16, 374, 16044, 322, 3973, 4202, 14384, 16, 367, 1548, 23233, 20391, 17, 295, 5172, 17058, 1223, 309, 1871, 7130, 18, 740, 478, 789, 947, 755, 470, 8532, 3032, 322, 29497, 16, 367, 29308, 16, 428, 5121, 16, 519, 2887, 3915, 7977, 360, 10687, 653, 7787, 322, 757, 18, 17580, 1939, 17, 25822, 343, 35244, 764, 6097, 37751, 21166, 2466, 15761, 1496, 798, 18, 5409, 1344, 266, 3202, 3287, 2505, 33722, 282, 5424, 409, 289, 282, 2343, 5462, 322, 22199, 271, 18, 6096, 8553, 306, 5937, 1146, 364, 46234, 282, 8999, 1011, 924, 16, 428, 5409, 1344, 266, 360, 5442, 15702, 1188, 1807, 1011, 4744, 820, 4926, 884, 18, 491, 30, 20, 510, 289, 17488, 478, 789, 947, 1347, 470, 322, 687, 282, 8267, 16, 515, 289, 282, 7756, 2458, 13168, 6993, 7466, 8634, 18, 4185, 15831, 649, 1907, 36462, 6380, 650, 7894, 7977, 16, 327, 12476, 4287, 2003, 639, 12631, 374, 17, 299, 17131, 3276, 2175, 18, 12824, 411, 16455, 26749, 16748, 49272, 311, 562, 45566, 1451, 46666, 18, 29308, 685, 14927, 286, 282, 18326, 42563, 294, 46152, 23003, 289, 5857, 11118, 18, 5043, 16, 16220, 478, 618, 1736, 47900, 470, 39630, 4618, 47650, 16, 374, 4446, 497, 11054, 2602, 309, 19957, 1472, 349, 2852, 1879, 519, 3915, 14515, 1939, 17, 25822, 382, 18, 15761, 1496, 286, 4726, 9372, 811, 281, 568, 3452, 2389, 6001, 26604, 4671, 700, 3583, 289, 12674, 697, 309, 19329, 448, 13871, 1013, 18, 459, 475, 17, 2767, 349, 17530, 8427, 519, 5251, 1809, 949, 16946, 481, 42563, 16, 3210, 16, 4198, 1323, 18, 46152, 2931, 38727, 46234, 1011, 4744, 820, 44497, 289, 14212, 722, 282, 478, 5486, 530, 454, 861, 23963, 1636, 675, 4749, 282, 327, 12476, 933, 33219, 14321, 20104, 332, 3215, 2156, 18, 4015, 4574, 343, 38766, 294, 34440, 24557, 289, 22930, 44108, 2948, 7977, 18, 816, 30, 21, 651, 2948, 26123, 7977, 289, 7756, 16, 282, 1754, 329, 478, 789, 947, 1347, 470, 20163, 5702, 15323, 2500, 18, 378, 274, 3407, 2117, 7756, 9934, 282, 46803, 282, 10882, 18, 478, 630, 636, 4966, 4300, 4732, 5199, 16, 656, 10258, 7653, 2992, 2849, 16, 367, 478, 789, 947, 755, 470, 651, 7504, 16, 651, 3153, 1011, 7977, 15761, 1496, 286, 18, 651, 5850, 977, 2197, 2117, 16, 656, 2125, 35560, 475, 8885, 16, 753, 18548, 18, 4320, 282, 1335, 7756, 764, 1329, 322, 5416, 861, 26749, 16748, 575, 4601, 1475, 309, 29934, 287, 4368, 5199, 44497, 18, 478, 3096, 453, 9988, 24883, 16, 428, 3813, 373, 16, 651, 5923, 505 ]
[ 1694, 3781, 17, 9952, 478, 618, 1736, 47900, 861, 651, 11568, 414, 975, 1756, 282, 3709, 1451, 1414, 16, 7422, 16, 15301, 18, 22091, 373, 16, 753, 492, 11347, 16, 428, 13044, 723, 4320, 322, 7155, 18, 817, 1871, 4466, 726, 7542, 42306, 16, 322, 895, 41701, 16, 322, 475, 7155, 861, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 618, 1736, 23866, 470, 510, 478, 789, 947, 755, 861, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 682, 508, 556, 43463, 3359, 20177, 781, 339, 5627, 16, 31769, 26129, 8615, 269, 16, 7312, 24664, 3971, 1188, 867, 16, 428, 8662, 282, 19809, 36268, 16586, 680, 5778, 276, 18, 15055, 310, 23572, 26573, 883, 6566, 23745, 12800, 326, 309, 29228, 16, 18576, 289, 935, 34076, 476, 16, 19230, 6355, 424, 6221, 289, 4463, 18215, 1248, 20690, 11064, 18, 31224, 30, 1605, 22846, 871, 1125, 17937, 8359, 14493, 2159, 6287, 282, 19334, 1045, 309, 7789, 29051, 21741, 16702, 282, 24000, 18, 4635, 1655, 18165, 14995, 22026, 16586, 718, 7920, 473, 7641, 684, 13, 12995, 12874, 6455, 12961, 37876, 1125, 17937, 8359, 16, 1029, 840, 13370, 1957, 282, 16620, 265, 289, 37527, 282, 8362, 510, 3596, 454, 21741, 9806, 18, 1787, 722, 7446, 34675, 12808, 2610, 14901, 26100, 36436, 582, 685, 8619, 20802, 1390, 2615, 47899, 281, 42155, 43936, 18, 824, 10825, 349, 1293, 4776, 519, 12037, 9806, 282, 16620, 265, 371, 3599, 850, 2143, 823, 2160, 25756, 9569, 9961, 16586, 778, 5627, 16, 4723, 492, 6369, 1595, 3971, 282, 1332, 16, 2170, 5171, 14557, 1133, 4466, 18, 10942, 47899, 281, 7265, 26129, 20342, 26573, 883, 21429, 18007, 318, 16, 2686, 10924, 289, 2393, 15031, 505, 37876, 16, 961, 3857, 31326, 18, 999, 5901, 16586, 718, 4202, 47899, 10747, 326, 309, 8436, 16, 29228, 16, 18576, 16, 13072, 293, 582, 16, 31825, 426, 16, 29150, 522, 355, 25488, 19822, 16, 34076, 5706, 16, 27886, 43620, 16, 11915, 26193, 21010, 2557, 18, 403, 2222, 575, 18466, 1804, 18970, 36201, 1254, 16, 13458, 15424, 31959, 635, 4396, 304, 8615, 269, 16, 281, 8864, 14176, 4362, 475, 1033, 6962, 3276, 289, 7926, 5966, 18, 7651, 1102, 2422, 289, 2180, 427, 1512, 396, 315, 3231, 1248, 43804, 18528, 560, 16, 11697, 8227, 16, 13025, 6911, 9264, 10547, 289, 935, 3674, 26881, 2630, 18, 2080, 6545, 2401, 5873, 289, 32273, 4457, 1505, 10825, 1125, 13360, 16620, 265, 5658, 30111, 13348, 30881, 21741, 9806, 16, 961, 26727, 282, 2327, 435, 18, 3529, 1125, 10574, 47899, 13370, 2311, 322, 309, 22993, 14557, 778, 9806, 16, 367, 282, 29275, 404, 1642, 17, 597, 4141, 274, 478, 370, 613, 12152, 9613, 9406, 7928, 910, 26923, 613, 27519, 298, 8001, 3608, 429, 18, 2876, 289, 1992, 3971, 36201, 1254, 685, 10545, 2895, 309, 43620, 18, 832, 2619, 39455, 1480, 37876, 16586, 718, 8359, 685, 2966, 637, 309, 41965, 43035, 282, 49144, 282, 22467, 1045, 18, 3529, 760, 5171, 47899, 7462, 925, 282, 29228, 282, 16688, 22274, 426, 16, 37454, 309, 21913, 742, 18, 403, 2222, 575, 16, 785, 16586, 778, 5627, 14366, 282, 19030, 16, 505, 7545, 414, 281, 33893, 16, 13370, 22751, 360, 3498, 490, 6090, 4629, 18764, 22497, 18, 2046, 3560, 7926, 4523, 1480, 37876, 16586, 718, 8359, 685, 37146, 282, 17410, 1045, 309, 29304, 29051, 21741, 16702, 282, 7263, 298, 962, 18, 365, 40177, 10007, 17, 35145, 29169, 25309, 435, 26649, 6125, 3560, 24039, 3447, 28123, 8359, 651, 1248, 20690, 11064, 18, 14557, 1880, 17170, 639, 3442, 9069, 282, 39882, 11016, 16, 367, 2512, 282, 42917, 2711, 1501, 18, 385, 421, 19313, 434, 31819, 16620, 265, 492, 685, 30627, 281, 3195, 26871, 349, 18638, 16, 282, 1268, 354, 2594, 651, 18168, 25359, 16, 988, 14268, 282, 8183, 20047, 451, 1260, 16, 1029, 289, 41763, 16586, 778, 5627, 282, 29119, 16, 42004, 1188, 42230, 11919, 18, 2112, 1660, 36201, 871, 15177, 701, 18, 6682, 924, 16, 282, 1500, 1205, 4424, 349, 2651, 5901, 8615, 269, 5627, 13370, 2311, 1974, 14997, 289, 4228, 510, 25513, 1123, 564, 25856, 4429, 2587, 4325, 268, 289, 385, 19270, 30060, 868, 2612, 18, 6422, 16, 20225, 37441, 25309, 1634, 22244, 933, 12360, 23566, 289, 30111, 20722, 31266, 15189, 282, 13822, 16, 961, 726, 14855, 1188, 5675, 44375, 304, 5065, 3300, 18, 832, 2619, 21279, 289, 28528, 3276, 2438, 46516, 16586, 718, 19682, 424, 6221, 18, 9857, 10182, 1357, 5627, 36082, 29453, 309, 27060, 680, 4841, 567, 808, 8606, 58, 2747, 29051, 21741, 9806, 6383, 779, 282, 10411, 968, 18, 608, 44311, 20381, 18769, 16, 14169, 360, 24168, 26631, 434, 1702, 2503, 16, 13374, 3808, 2414, 36606, 297, 450, 2430, 286, 282, 3178, 3437, 1879, 12940, 271, 477, 11509, 22751, 16688, 22345, 761, 1804, 39312, 11918, 41252, 2095, 36201, 1254, 18, 1787, 1574, 37876, 43597, 685, 11903, 16851, 1263, 521, 31077, 2452, 18, 817, 30418, 48403, 322, 687, 1230, 2094, 16, 515, 289, 30428, 319, 424, 6221, 5907, 3400, 5839, 18, 9873, 14334, 334, 16323, 9913, 746, 277, 8577, 16, 16586, 778, 47899, 6448, 10042, 334, 8290, 289, 309, 3872, 5108, 2466, 18984, 33417, 18, 6290, 43014, 36082, 7520, 779, 282, 28396, 2165, 12935, 7732, 3202, 11021, 577, 549, 36201, 871, 16586, 718, 8359, 16, 1586, 50136, 23088, 2868, 289, 23350, 1424, 475, 2852, 14761, 2155, 18, 7651, 1102, 36286, 289, 29831, 1354, 23474, 475, 10208, 29051, 8615, 269, 40636, 18, 14155, 24510, 282, 13340, 12903, 289, 23177, 16, 988, 334, 2923, 21897, 505, 10659, 925, 281, 3195, 478, 405, 2143, 1476, 29789, 470, 651, 34076, 2169, 18, 14089, 549, 7865, 939, 19538, 7010, 6520, 38503, 680, 1767, 25682, 26140, 23003, 1624, 1029, 6455, 13848, 1176, 411, 30386, 16586, 718, 8359, 309, 34076, 5706, 18, 13758, 36201, 1254, 16586, 718, 8359, 3365, 289, 13362, 1888, 322, 2619, 20063, 16455, 37876, 8300, 33687, 837, 16620, 265, 18, 5161, 16, 282, 14595, 1045, 282, 8553, 486, 312, 6492, 8300, 26573, 542, 6566, 23745, 685, 17924, 1390, 309, 46776, 490, 263, 16, 282, 11078, 1045, 1188, 40557, 16620, 1117, 323, 282, 29895, 10669, 426, 16586, 778, 5627, 48659, 309, 4965, 288, 2594, 30558, 29228, 8279, 71, 2577, 73, 18, 4852, 1272, 779, 282, 586, 364, 426, 17398, 277, 423, 30111, 8615, 269, 15384, 282, 36201, 781, 29150, 6758, 25488, 9476, 289, 34323, 16, 1033, 924, 16, 4424, 2301, 16423, 16586, 778, 47899, 396 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1694, 3781, 17, 9952, 478, 618, 1736, 47900, 861, 651, 11568, 414, 975, 1756, 282, 3709, 1451, 1414, 16, 7422, 16, 15301, 18, 22091, 373, 16, 753, 492, 11347, 16, 428, 13044, 723, 4320, 322, 7155, 18, 817, 1871, 4466, 726, 7542, 42306, 16, 322, 895, 41701, 16, 322, 475, 7155, 861, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 618, 1736, 23866, 470, 510, 478, 789, 947, 755, 861, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 682, 508, 556, 43463, 3359, 20177, 781, 339, 5627, 16, 31769, 26129, 8615, 269, 16, 7312, 24664, 3971, 1188, 867, 16, 428, 8662, 282, 19809, 36268, 16586, 680, 5778, 276, 18, 15055, 310, 23572, 26573, 883, 6566, 23745, 12800, 326, 309, 29228, 16, 18576, 289, 935, 34076, 476, 16, 19230, 6355, 424, 6221, 289, 4463, 18215, 1248, 20690, 11064, 18, 31224, 30, 1605, 22846, 871, 1125, 17937, 8359, 14493, 2159, 6287, 282, 19334, 1045, 309, 7789, 29051, 21741, 16702, 282, 24000, 18, 4635, 1655, 18165, 14995, 22026, 16586, 718, 7920, 473, 7641, 684, 13, 12995, 12874, 6455, 12961, 37876, 1125, 17937, 8359, 16, 1029, 840, 13370, 1957, 282, 16620, 265, 289, 37527, 282, 8362, 510, 3596, 454, 21741, 9806, 18, 1787, 722, 7446, 34675, 12808, 2610, 14901, 26100, 36436, 582, 685, 8619, 20802, 1390, 2615, 47899, 281, 42155, 43936, 18, 824, 10825, 349, 1293, 4776, 519, 12037, 9806, 282, 16620, 265, 371, 3599, 850, 2143, 823, 2160, 25756, 9569, 9961, 16586, 778, 5627, 16, 4723, 492, 6369, 1595, 3971, 282, 1332, 16, 2170, 5171, 14557, 1133, 4466, 18, 10942, 47899, 281, 7265, 26129, 20342, 26573, 883, 21429, 18007, 318, 16, 2686, 10924, 289, 2393, 15031, 505, 37876, 16, 961, 3857, 31326, 18, 999, 5901, 16586, 718, 4202, 47899, 10747, 326, 309, 8436, 16, 29228, 16, 18576, 16, 13072, 293, 582, 16, 31825, 426, 16, 29150, 522, 355, 25488, 19822, 16, 34076, 5706, 16, 27886, 43620, 16, 11915, 26193, 21010, 2557, 18, 403, 2222, 575, 18466, 1804, 18970, 36201, 1254, 16, 13458, 15424, 31959, 635, 4396, 304, 8615, 269, 16, 281, 8864, 14176, 4362, 475, 1033, 6962, 3276, 289, 7926, 5966, 18, 7651, 1102, 2422, 289, 2180, 427, 1512, 396, 315, 3231, 1248, 43804, 18528, 560, 16, 11697, 8227, 16, 13025, 6911, 9264, 10547, 289, 935, 3674, 26881, 2630, 18, 2080, 6545, 2401, 5873, 289, 32273, 4457, 1505, 10825, 1125, 13360, 16620, 265, 5658, 30111, 13348, 30881, 21741, 9806, 16, 961, 26727, 282, 2327, 435, 18, 3529, 1125, 10574, 47899, 13370, 2311, 322, 309, 22993, 14557, 778, 9806, 16, 367, 282, 29275, 404, 1642, 17, 597, 4141, 274, 478, 370, 613, 12152, 9613, 9406, 7928, 910, 26923, 613, 27519, 298, 8001, 3608, 429, 18, 2876, 289, 1992, 3971, 36201, 1254, 685, 10545, 2895, 309, 43620, 18, 832, 2619, 39455, 1480, 37876, 16586, 718, 8359, 685, 2966, 637, 309, 41965, 43035, 282, 49144, 282, 22467, 1045, 18, 3529, 760, 5171, 47899, 7462, 925, 282, 29228, 282, 16688, 22274, 426, 16, 37454, 309, 21913, 742, 18, 403, 2222, 575, 16, 785, 16586, 778, 5627, 14366, 282, 19030, 16, 505, 7545, 414, 281, 33893, 16, 13370, 22751, 360, 3498, 490, 6090, 4629, 18764, 22497, 18, 2046, 3560, 7926, 4523, 1480, 37876, 16586, 718, 8359, 685, 37146, 282, 17410, 1045, 309, 29304, 29051, 21741, 16702, 282, 7263, 298, 962, 18, 365, 40177, 10007, 17, 35145, 29169, 25309, 435, 26649, 6125, 3560, 24039, 3447, 28123, 8359, 651, 1248, 20690, 11064, 18, 14557, 1880, 17170, 639, 3442, 9069, 282, 39882, 11016, 16, 367, 2512, 282, 42917, 2711, 1501, 18, 385, 421, 19313, 434, 31819, 16620, 265, 492, 685, 30627, 281, 3195, 26871, 349, 18638, 16, 282, 1268, 354, 2594, 651, 18168, 25359, 16, 988, 14268, 282, 8183, 20047, 451, 1260, 16, 1029, 289, 41763, 16586, 778, 5627, 282, 29119, 16, 42004, 1188, 42230, 11919, 18, 2112, 1660, 36201, 871, 15177, 701, 18, 6682, 924, 16, 282, 1500, 1205, 4424, 349, 2651, 5901, 8615, 269, 5627, 13370, 2311, 1974, 14997, 289, 4228, 510, 25513, 1123, 564, 25856, 4429, 2587, 4325, 268, 289, 385, 19270, 30060, 868, 2612, 18, 6422, 16, 20225, 37441, 25309, 1634, 22244, 933, 12360, 23566, 289, 30111, 20722, 31266, 15189, 282, 13822, 16, 961, 726, 14855, 1188, 5675, 44375, 304, 5065, 3300, 18, 832, 2619, 21279, 289, 28528, 3276, 2438, 46516, 16586, 718, 19682, 424, 6221, 18, 9857, 10182, 1357, 5627, 36082, 29453, 309, 27060, 680, 4841, 567, 808, 8606, 58, 2747, 29051, 21741, 9806, 6383, 779, 282, 10411, 968, 18, 608, 44311, 20381, 18769, 16, 14169, 360, 24168, 26631, 434, 1702, 2503, 16, 13374, 3808, 2414, 36606, 297, 450, 2430, 286, 282, 3178, 3437, 1879, 12940, 271, 477, 11509, 22751, 16688, 22345, 761, 1804, 39312, 11918, 41252, 2095, 36201, 1254, 18, 1787, 1574, 37876, 43597, 685, 11903, 16851, 1263, 521, 31077, 2452, 18, 817, 30418, 48403, 322, 687, 1230, 2094, 16, 515, 289, 30428, 319, 424, 6221, 5907, 3400, 5839, 18, 9873, 14334, 334, 16323, 9913, 746, 277, 8577, 16, 16586, 778, 47899, 6448, 10042, 334, 8290, 289, 309, 3872, 5108, 2466, 18984, 33417, 18, 6290, 43014, 36082, 7520, 779, 282, 28396, 2165, 12935, 7732, 3202, 11021, 577, 549, 36201, 871, 16586, 718, 8359, 16, 1586, 50136, 23088, 2868, 289, 23350, 1424, 475, 2852, 14761, 2155, 18, 7651, 1102, 36286, 289, 29831, 1354, 23474, 475, 10208, 29051, 8615, 269, 40636, 18, 14155, 24510, 282, 13340, 12903, 289, 23177, 16, 988, 334, 2923, 21897, 505, 10659, 925, 281, 3195, 478, 405, 2143, 1476, 29789, 470, 651, 34076, 2169, 18, 14089, 549, 7865, 939, 19538, 7010, 6520, 38503, 680, 1767, 25682, 26140, 23003, 1624, 1029, 6455, 13848, 1176, 411, 30386, 16586, 718, 8359, 309, 34076, 5706, 18, 13758, 36201, 1254, 16586, 718, 8359, 3365, 289, 13362, 1888, 322, 2619, 20063, 16455, 37876, 8300, 33687, 837, 16620, 265, 18, 5161, 16, 282, 14595, 1045, 282, 8553, 486, 312, 6492, 8300, 26573, 542, 6566, 23745, 685, 17924, 1390, 309, 46776, 490, 263, 16, 282, 11078, 1045, 1188, 40557, 16620, 1117, 323, 282, 29895, 10669, 426, 16586, 778, 5627, 48659, 309, 4965, 288, 2594, 30558, 29228, 8279, 71, 2577, 73, 18, 4852, 1272, 779, 282, 586, 364, 426, 17398, 277, 423, 30111, 8615, 269, 15384, 282, 36201, 781, 29150, 6758, 25488, 9476, 289, 34323, 16, 1033, 924, 16, 4424, 2301, 16423, 16586, 778, 47899, 396 ]
[ 315, 2385, 309, 11915, 26193, 21010, 2557, 18, 832, 360, 7618, 282, 6962, 6239, 289, 18276, 18, 365, 8455, 1045, 1188, 16620, 1117, 323, 282, 4891, 266, 17, 40176, 273, 29238, 16586, 778, 47899, 13006, 3287, 309, 15005, 19090, 25488, 19822, 289, 7856, 1751, 16, 34975, 19677, 12834, 353, 18, 47243, 1941, 20092, 761, 282, 5895, 1045, 2401, 9528, 289, 7813, 873, 16, 961, 541, 21265, 8359, 282, 18168, 8615, 269, 5649, 2440, 15384, 48158, 2127, 336, 3201, 7170, 289, 2079, 578, 478, 47963, 1018, 17, 21, 470, 4966, 478, 45652, 287, 312, 861, 14557, 778, 5627, 4967, 2154, 334, 8290, 14088, 7926, 11956, 289, 6962, 5925, 20316, 16, 367, 2553, 17, 11092, 382, 726, 322, 7015, 44091, 477, 1740, 392, 802, 702, 281, 4413, 282, 6962, 6239, 30007, 18, 2790, 793, 3222, 36201, 871, 16586, 718, 8359, 8615, 269, 17, 8157, 16, 6769, 16, 25356, 1299, 1617, 30288, 936, 18, 5161, 16, 282, 18979, 329, 26649, 651, 12269, 16586, 778, 5627, 309, 9814, 15088, 10780, 2553, 510, 34509, 9060, 296, 17084, 289, 42019, 424, 5156, 309, 17523, 2887, 30840, 11547, 510, 11997, 9548, 18, 625, 22846, 871, 8300, 33687, 837, 16620, 265, 1494, 38475, 1211, 1360, 12652, 1330, 16, 6962, 19212, 289, 25377, 18, 1787, 16586, 718, 8359, 322, 5092, 587, 6284, 16, 14510, 289, 5609, 883, 16, 1696, 1717, 492, 282, 28138, 14557, 778, 9806, 16, 39443, 26129, 2422, 289, 27816, 16, 30552, 1209, 1512, 424, 49624, 2887, 8214, 29891, 16167, 18, 2, 1, 87, 1456, 81, 2448, 30, 6115, 456, 4562, 15466, 783, 282, 10720, 4534, 10313, 4583, 23063, 8955, 282, 5214, 10208, 18, 2112, 16733, 13583, 23400, 281, 8306, 5364, 281, 6244, 6726, 13587, 13588, 350, 21947, 20068, 680, 6394, 510, 9670, 457, 822, 3127, 478, 789, 551, 680, 470, 510, 26003, 15488, 282, 3178, 5576, 10205, 2788, 10463, 289, 40585, 1810, 282, 3568, 412, 14173, 1212, 830, 21508, 18, 31224, 30, 677, 10882, 34144, 43902, 24253, 282, 10720, 4534, 16438, 281, 13588, 4520, 5115, 21947, 20068, 680, 6394, 510, 9670, 457, 822, 3127, 478, 789, 551, 680, 861, 403, 11053, 11202, 309, 29163, 5939, 6394, 16, 282, 3568, 412, 14173, 1212, 830, 21508, 16, 13712, 1033, 3610, 1135, 16, 2536, 29017, 18557, 2923, 830, 12754, 360, 15218, 432, 26980, 18, 30447, 7190, 2241, 10073, 7631, 360, 11019, 16, 2382, 2636, 481, 867, 16, 374, 898, 20388, 19296, 304, 26980, 281, 3453, 6394, 289, 322, 10469, 34930, 294, 9155, 18, 2046, 40916, 898, 49863, 10565, 289, 7150, 3304, 600, 8999, 16, 1011, 1660, 282, 1743, 15739, 491, 17, 295, 2204, 6779, 14161, 13587, 18, 1012, 6305, 39753, 1512, 473, 264, 5239, 17, 2035, 289, 387, 32886, 309, 4082, 13, 349, 2788, 554, 16, 36063, 5505, 6915, 9334, 30317, 5500, 2241, 473, 342, 5136, 4173, 282, 3568, 412, 14173, 1212, 830, 21508, 13, 43734, 5912, 5363, 30, 17916, 587, 22696, 12189, 434, 11758, 7067, 371, 29437, 6636, 8803, 4534, 473, 1605, 6596, 563, 13, 632, 7673, 33003, 21322, 272, 16, 18065, 6677, 15289, 8424, 478, 11844, 1164, 5343, 470, 439, 265, 554, 12857, 408, 11118, 16, 10914, 1347, 2839, 414, 553, 282, 10720, 4534, 35111, 32653, 413, 1624, 10914, 1347, 10514, 432, 9206, 10712, 478, 44280, 2451, 2309, 470, 20836, 2749, 45170, 291, 367, 289, 15465, 478, 1098, 13230, 10435, 470, 11088, 19582, 433, 14954, 18, 16566, 411, 478, 22333, 5355, 5500, 470, 294, 16338, 4223, 45170, 291, 18, 824, 505, 3163, 16, 12181, 47787, 16, 1474, 8085, 13588, 4520, 16, 4167, 963, 868, 309, 31048, 904, 749, 43941, 18852, 18, 478, 677, 3106, 18852, 685, 40702, 28441, 44544, 16, 935, 749, 9872, 1642, 16, 510, 4848, 45170, 291, 18, 510, 640, 9185, 1335, 8379, 745, 3005, 373, 3304, 400, 1992, 44544, 18, 967, 803, 1299, 322, 7863, 935, 34003, 1519, 1177, 8501, 16, 411, 1660, 656, 38769, 16, 374, 963, 868, 39840, 451, 861, 3782, 3528, 6951, 1056, 418, 10065, 281, 1192, 1212, 25764, 3593, 16, 988, 5684, 21283, 16, 374, 8183, 963, 8604, 309, 15095, 13193, 36004, 542, 21583, 1272, 5196, 2158, 18, 365, 6031, 7190, 29936, 26322, 898, 14322, 26003, 9196, 4138, 16, 374, 475, 24125, 382, 1747, 22924, 318, 16, 367, 2788, 347, 5183, 345, 8087, 18, 824, 3163, 18447, 1081, 294, 22360, 18065, 6700, 35544, 2241, 29111, 354, 415, 1709, 14076, 324, 16, 11711, 840, 3762, 29619, 798, 282, 3178, 5576, 18, 528, 2265, 4172, 22581, 870, 1694, 34921, 31208, 18, 2046, 16, 334, 3163, 19582, 433, 14954, 16, 1441, 34144, 1747, 20612, 8501, 2009, 23518, 28228, 289, 478, 6424, 424, 18409, 470, 475, 20966, 282, 3568, 412, 14173, 1212, 830, 21508, 16, 453, 428, 16, 322, 33201, 8306, 285, 16, 13588, 350, 289, 2891, 1698, 478, 22251, 33878, 808, 861, 832, 27240, 3236, 289, 282, 43902, 24253, 282, 10720, 4534, 18, 478, 13456, 656, 3984, 30947, 924, 16, 753, 4871, 685, 360, 291, 12709, 8251, 1736, 16, 510, 10703, 478, 46088, 18, 8381, 910, 3203, 10762, 6466, 3463, 5303, 478, 672, 14173, 1162, 8417, 470, 12510, 24051, 1709, 401, 18, 510, 608, 813, 912, 6549, 16, 374, 38009, 523, 39904, 475, 481, 309, 16790, 18, 19613, 27604, 870, 6549, 282, 11925, 672, 225, 861, 478, 48165, 15878, 977, 282, 3568, 412, 14173, 1212, 830, 21508, 764, 491, 779, 2158, 289, 475, 481, 808, 12715, 6020, 448, 1810, 424, 7595, 15095, 8043, 24125, 368, 910, 510, 10703, 478, 46088, 18, 8381, 470, 439, 11528, 12857, 408, 401, 18, 824, 722, 3163, 16, 18926, 411, 2223, 6979, 25040, 3442, 2365, 282, 1756, 18395, 7898, 9835, 18, 12857, 408, 401, 2548, 16, 374, 4871, 9345, 434, 6997, 519, 4319, 1326, 322, 47541, 18, 3739, 491, 4189, 5653, 779, 33904, 12399, 371, 11043, 298, 14212, 1177, 4871, 309, 519, 31822, 16, 10703, 8306, 11287, 18, 9543, 38009, 523, 17602, 360, 29936, 26322, 16387, 411, 5115, 37393, 17, 598, 24888, 4797, 5482, 289, 2048, 309, 24213, 4517, 1751, 18530, 382, 541, 46381, 411, 7833, 831, 18, 740, 1329, 978, 11742, 322, 639, 18, 459, 1939, 4209, 4479, 779, 4871, 685, 1858, 6415, 523, 363, 16, 309, 1177, 445, 625, 6596, 563, 304, 18, 3529, 575, 16477, 478, 11844, 1164, 5343, 470, 16643, 2141, 1329, 1336, 322, 12340, 16, 367, 2760, 1938, 6394, 722, 44587, 18465, 510, 14202, 46147, 478, 672, 14173, 1162, 8417, 910, 282, 5214, 2024, 3164, 6319, 5785, 16501, 16, 367, 16911 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 315, 2385, 309, 11915, 26193, 21010, 2557, 18, 832, 360, 7618, 282, 6962, 6239, 289, 18276, 18, 365, 8455, 1045, 1188, 16620, 1117, 323, 282, 4891, 266, 17, 40176, 273, 29238, 16586, 778, 47899, 13006, 3287, 309, 15005, 19090, 25488, 19822, 289, 7856, 1751, 16, 34975, 19677, 12834, 353, 18, 47243, 1941, 20092, 761, 282, 5895, 1045, 2401, 9528, 289, 7813, 873, 16, 961, 541, 21265, 8359, 282, 18168, 8615, 269, 5649, 2440, 15384, 48158, 2127, 336, 3201, 7170, 289, 2079, 578, 478, 47963, 1018, 17, 21, 470, 4966, 478, 45652, 287, 312, 861, 14557, 778, 5627, 4967, 2154, 334, 8290, 14088, 7926, 11956, 289, 6962, 5925, 20316, 16, 367, 2553, 17, 11092, 382, 726, 322, 7015, 44091, 477, 1740, 392, 802, 702, 281, 4413, 282, 6962, 6239, 30007, 18, 2790, 793, 3222, 36201, 871, 16586, 718, 8359, 8615, 269, 17, 8157, 16, 6769, 16, 25356, 1299, 1617, 30288, 936, 18, 5161, 16, 282, 18979, 329, 26649, 651, 12269, 16586, 778, 5627, 309, 9814, 15088, 10780, 2553, 510, 34509, 9060, 296, 17084, 289, 42019, 424, 5156, 309, 17523, 2887, 30840, 11547, 510, 11997, 9548, 18, 625, 22846, 871, 8300, 33687, 837, 16620, 265, 1494, 38475, 1211, 1360, 12652, 1330, 16, 6962, 19212, 289, 25377, 18, 1787, 16586, 718, 8359, 322, 5092, 587, 6284, 16, 14510, 289, 5609, 883, 16, 1696, 1717, 492, 282, 28138, 14557, 778, 9806, 16, 39443, 26129, 2422, 289, 27816, 16, 30552, 1209, 1512, 424, 49624, 2887, 8214, 29891, 16167, 18, 2, 1, 87, 1456, 81, 2448, 30, 6115, 456, 4562, 15466, 783, 282, 10720, 4534, 10313, 4583, 23063, 8955, 282, 5214, 10208, 18, 2112, 16733, 13583, 23400, 281, 8306, 5364, 281, 6244, 6726, 13587, 13588, 350, 21947, 20068, 680, 6394, 510, 9670, 457, 822, 3127, 478, 789, 551, 680, 470, 510, 26003, 15488, 282, 3178, 5576, 10205, 2788, 10463, 289, 40585, 1810, 282, 3568, 412, 14173, 1212, 830, 21508, 18, 31224, 30, 677, 10882, 34144, 43902, 24253, 282, 10720, 4534, 16438, 281, 13588, 4520, 5115, 21947, 20068, 680, 6394, 510, 9670, 457, 822, 3127, 478, 789, 551, 680, 861, 403, 11053, 11202, 309, 29163, 5939, 6394, 16, 282, 3568, 412, 14173, 1212, 830, 21508, 16, 13712, 1033, 3610, 1135, 16, 2536, 29017, 18557, 2923, 830, 12754, 360, 15218, 432, 26980, 18, 30447, 7190, 2241, 10073, 7631, 360, 11019, 16, 2382, 2636, 481, 867, 16, 374, 898, 20388, 19296, 304, 26980, 281, 3453, 6394, 289, 322, 10469, 34930, 294, 9155, 18, 2046, 40916, 898, 49863, 10565, 289, 7150, 3304, 600, 8999, 16, 1011, 1660, 282, 1743, 15739, 491, 17, 295, 2204, 6779, 14161, 13587, 18, 1012, 6305, 39753, 1512, 473, 264, 5239, 17, 2035, 289, 387, 32886, 309, 4082, 13, 349, 2788, 554, 16, 36063, 5505, 6915, 9334, 30317, 5500, 2241, 473, 342, 5136, 4173, 282, 3568, 412, 14173, 1212, 830, 21508, 13, 43734, 5912, 5363, 30, 17916, 587, 22696, 12189, 434, 11758, 7067, 371, 29437, 6636, 8803, 4534, 473, 1605, 6596, 563, 13, 632, 7673, 33003, 21322, 272, 16, 18065, 6677, 15289, 8424, 478, 11844, 1164, 5343, 470, 439, 265, 554, 12857, 408, 11118, 16, 10914, 1347, 2839, 414, 553, 282, 10720, 4534, 35111, 32653, 413, 1624, 10914, 1347, 10514, 432, 9206, 10712, 478, 44280, 2451, 2309, 470, 20836, 2749, 45170, 291, 367, 289, 15465, 478, 1098, 13230, 10435, 470, 11088, 19582, 433, 14954, 18, 16566, 411, 478, 22333, 5355, 5500, 470, 294, 16338, 4223, 45170, 291, 18, 824, 505, 3163, 16, 12181, 47787, 16, 1474, 8085, 13588, 4520, 16, 4167, 963, 868, 309, 31048, 904, 749, 43941, 18852, 18, 478, 677, 3106, 18852, 685, 40702, 28441, 44544, 16, 935, 749, 9872, 1642, 16, 510, 4848, 45170, 291, 18, 510, 640, 9185, 1335, 8379, 745, 3005, 373, 3304, 400, 1992, 44544, 18, 967, 803, 1299, 322, 7863, 935, 34003, 1519, 1177, 8501, 16, 411, 1660, 656, 38769, 16, 374, 963, 868, 39840, 451, 861, 3782, 3528, 6951, 1056, 418, 10065, 281, 1192, 1212, 25764, 3593, 16, 988, 5684, 21283, 16, 374, 8183, 963, 8604, 309, 15095, 13193, 36004, 542, 21583, 1272, 5196, 2158, 18, 365, 6031, 7190, 29936, 26322, 898, 14322, 26003, 9196, 4138, 16, 374, 475, 24125, 382, 1747, 22924, 318, 16, 367, 2788, 347, 5183, 345, 8087, 18, 824, 3163, 18447, 1081, 294, 22360, 18065, 6700, 35544, 2241, 29111, 354, 415, 1709, 14076, 324, 16, 11711, 840, 3762, 29619, 798, 282, 3178, 5576, 18, 528, 2265, 4172, 22581, 870, 1694, 34921, 31208, 18, 2046, 16, 334, 3163, 19582, 433, 14954, 16, 1441, 34144, 1747, 20612, 8501, 2009, 23518, 28228, 289, 478, 6424, 424, 18409, 470, 475, 20966, 282, 3568, 412, 14173, 1212, 830, 21508, 16, 453, 428, 16, 322, 33201, 8306, 285, 16, 13588, 350, 289, 2891, 1698, 478, 22251, 33878, 808, 861, 832, 27240, 3236, 289, 282, 43902, 24253, 282, 10720, 4534, 18, 478, 13456, 656, 3984, 30947, 924, 16, 753, 4871, 685, 360, 291, 12709, 8251, 1736, 16, 510, 10703, 478, 46088, 18, 8381, 910, 3203, 10762, 6466, 3463, 5303, 478, 672, 14173, 1162, 8417, 470, 12510, 24051, 1709, 401, 18, 510, 608, 813, 912, 6549, 16, 374, 38009, 523, 39904, 475, 481, 309, 16790, 18, 19613, 27604, 870, 6549, 282, 11925, 672, 225, 861, 478, 48165, 15878, 977, 282, 3568, 412, 14173, 1212, 830, 21508, 764, 491, 779, 2158, 289, 475, 481, 808, 12715, 6020, 448, 1810, 424, 7595, 15095, 8043, 24125, 368, 910, 510, 10703, 478, 46088, 18, 8381, 470, 439, 11528, 12857, 408, 401, 18, 824, 722, 3163, 16, 18926, 411, 2223, 6979, 25040, 3442, 2365, 282, 1756, 18395, 7898, 9835, 18, 12857, 408, 401, 2548, 16, 374, 4871, 9345, 434, 6997, 519, 4319, 1326, 322, 47541, 18, 3739, 491, 4189, 5653, 779, 33904, 12399, 371, 11043, 298, 14212, 1177, 4871, 309, 519, 31822, 16, 10703, 8306, 11287, 18, 9543, 38009, 523, 17602, 360, 29936, 26322, 16387, 411, 5115, 37393, 17, 598, 24888, 4797, 5482, 289, 2048, 309, 24213, 4517, 1751, 18530, 382, 541, 46381, 411, 7833, 831, 18, 740, 1329, 978, 11742, 322, 639, 18, 459, 1939, 4209, 4479, 779, 4871, 685, 1858, 6415, 523, 363, 16, 309, 1177, 445, 625, 6596, 563, 304, 18, 3529, 575, 16477, 478, 11844, 1164, 5343, 470, 16643, 2141, 1329, 1336, 322, 12340, 16, 367, 2760, 1938, 6394, 722, 44587, 18465, 510, 14202, 46147, 478, 672, 14173, 1162, 8417, 910, 282, 5214, 2024, 3164, 6319, 5785, 16501, 16, 367, 16911 ]
[ 34359, 23003, 9078, 309, 505, 36297, 1756, 309, 37369, 298, 18, 3557, 322, 2619, 1293, 2868, 2158, 13588, 350, 22930, 2917, 4328, 10542, 349, 5943, 2409, 34359, 23003, 16, 309, 2468, 6319, 7385, 16728, 16, 15218, 448, 9996, 281, 7686, 1134, 473, 348, 2375, 1357, 15095, 8043, 904, 934, 411, 17, 431, 1660, 289, 17258, 5272, 24654, 36441, 18, 478, 4441, 14821, 17576, 36268, 31790, 16, 510, 10703, 12857, 408, 401, 18, 510, 24428, 2888, 2900, 33576, 42830, 624, 656, 726, 322, 3005, 18, 365, 30741, 6797, 1751, 20068, 680, 6394, 6535, 322, 687, 10604, 5676, 14135, 42918, 16, 515, 289, 43073, 371, 31452, 861, 824, 3163, 12857, 408, 1161, 16, 502, 16, 374, 282, 27907, 22104, 4137, 472, 611, 375, 31544, 7955, 289, 29151, 16387, 9996, 16, 939, 13051, 451, 5809, 18, 740, 13547, 1177, 49741, 16, 289, 4957, 281, 42578, 5702, 282, 16143, 18, 478, 7306, 6755, 13193, 36004, 542, 349, 2948, 9835, 17, 431, 2021, 7336, 12362, 16, 374, 309, 20068, 680, 6394, 8641, 289, 1003, 1329, 40285, 2599, 13928, 18, 2046, 481, 282, 28227, 37124, 16, 510, 5273, 5854, 625, 6596, 13637, 18, 510, 4338, 1299, 6453, 4901, 11359, 14697, 16, 24122, 25111, 44587, 39118, 24186, 23986, 20068, 680, 6394, 16, 1586, 2697, 2820, 2879, 953, 20215, 798, 282, 12501, 34491, 26416, 861, 7106, 16, 41968, 2891, 16074, 2919, 15993, 20068, 2127, 8417, 309, 491, 384, 24, 779, 289, 13187, 1336, 7833, 388, 289, 49335, 32825, 17, 41557, 2167, 1742, 5482, 18, 2046, 10552, 282, 1078, 309, 32957, 516, 26314, 19762, 472, 611, 375, 8251, 937, 14698, 309, 8357, 18490, 904, 309, 3453, 20068, 680, 6394, 18, 365, 31678, 2174, 3003, 32039, 478, 404, 10796, 14558, 13840, 45214, 281, 45159, 861, 4530, 867, 16, 428, 3828, 282, 11946, 6080, 478, 13261, 470, 45940, 29936, 26322, 7362, 5014, 507, 512, 16, 4871, 6997, 309, 20068, 680, 6394, 685, 22342, 363, 281, 1192, 1212, 25764, 3593, 18, 1870, 6755, 13193, 1810, 322, 898, 2574, 6225, 281, 45195, 584, 775, 5613, 16, 515, 16, 334, 3163, 5014, 507, 3583, 16, 1177, 865, 904, 289, 322, 7220, 28081, 34743, 289, 13595, 5115, 18, 439, 9216, 3781, 17, 14130, 1312, 5607, 9409, 38603, 3486, 8977, 478, 34010, 470, 1624, 374, 9959, 309, 8357, 904, 309, 20068, 680, 6394, 4590, 2919, 415, 9899, 732, 473, 43264, 1286, 3597, 13, 289, 21021, 11021, 2021, 2260, 288, 4520, 18, 832, 7501, 3236, 282, 5941, 19132, 8149, 424, 20068, 680, 17528, 282, 31168, 6700, 2592, 324, 18, 478, 26145, 4573, 840, 27944, 7726, 9345, 539, 8149, 18, 640, 20068, 680, 6394, 1513, 4604, 4367, 9345, 539, 8149, 289, 7833, 388, 424, 37369, 620, 910, 510, 1109, 6548, 10729, 31168, 6700, 2592, 324, 6070, 31401, 277, 5944, 282, 17130, 31090, 478, 1605, 2070, 4534, 470, 282, 10882, 18, 2949, 1223, 19603, 478, 397, 418, 468, 9345, 434, 9939, 5073, 1033, 7095, 758, 475, 2874, 10729, 448, 2926, 910, 5273, 6548, 10729, 16, 5076, 478, 1961, 5712, 448, 9345, 448, 16675, 448, 36194, 282, 2777, 40674, 470, 22508, 1143, 16, 828, 478, 2774, 1270, 24527, 4193, 424, 20068, 680, 17528, 861, 2, 1, 87, 1456, 81, 2448, 30, 471, 1098, 18920, 778, 294, 341, 470, 510, 21421, 868, 1442, 52, 18018, 5253, 12582, 315, 29893, 459, 3646, 696, 16, 18866, 1510, 8396, 4843, 26, 16, 22, 5096, 16, 510, 24935, 322, 1176, 16, 6881, 282, 20172, 18, 1614, 12539, 15861, 3320, 30359, 282, 1551, 309, 768, 1083, 7286, 37513, 17, 7306, 354, 2070, 16, 12130, 478, 273, 1004, 861, 20439, 9414, 9078, 6524, 7050, 15067, 14079, 18, 385, 25014, 14785, 758, 294, 9954, 423, 1442, 52, 18018, 5253, 21980, 21377, 290, 13580, 547, 2760, 464, 43427, 18, 31224, 30, 684, 1005, 14456, 7065, 2145, 1442, 52, 18018, 5253, 2487, 5206, 9280, 23594, 281, 29703, 21421, 8604, 16, 31758, 1027, 10068, 309, 15851, 39439, 282, 4843, 26, 16, 22, 5096, 473, 275, 13186, 7065, 25865, 290, 4843, 25, 16, 28, 5096, 16, 515, 334, 3761, 10015, 38341, 16, 294, 3184, 296, 2243, 11617, 36701, 814, 20439, 13875, 282, 1551, 309, 768, 1083, 7286, 37513, 17, 7306, 354, 2070, 510, 19361, 46561, 21359, 16, 2103, 20202, 9353, 2409, 21356, 510, 21421, 41992, 12582, 315, 2230, 1114, 339, 459, 3646, 36514, 16, 20518, 428, 478, 15821, 1191, 339, 1701, 470, 289, 478, 1098, 18920, 778, 294, 341, 861, 39212, 607, 49557, 505, 453, 349, 47084, 15737, 20446, 15852, 18, 20439, 10218, 381, 1263, 263, 10552, 16, 1830, 8348, 282, 22322, 778, 1551, 4674, 315, 3405, 3802, 18, 19432, 17, 7306, 354, 2070, 322, 685, 13349, 637, 381, 1263, 263, 16, 3828, 505, 15320, 6211, 297, 403, 37659, 8216, 271, 1624, 515, 478, 25039, 1972, 8950, 2137, 286, 44306, 6545, 22144, 353, 8709, 16, 374, 492, 757, 20982, 15569, 10068, 861, 478, 25559, 375, 19432, 17, 7306, 354, 2070, 3893, 16, 374, 16, 785, 14491, 289, 20818, 1063, 46002, 1967, 4463, 41268, 6059, 840, 44953, 16, 322, 840, 26171, 4302, 17963, 281, 505, 1963, 16, 510, 2815, 403, 37659, 8216, 271, 473, 18639, 354, 334, 48240, 16303, 17014, 510, 385, 505, 1963, 322, 639, 21974, 2654, 670, 41550, 15569, 33900, 861, 10671, 8075, 1133, 10068, 1442, 52, 18018, 5253, 5668, 751, 13557, 4018, 779, 18, 365, 11366, 4770, 8709, 19885, 12721, 2810, 10218, 290, 4843, 22, 5096, 48770, 309, 15851, 39439, 281, 5003, 758, 744, 312, 342, 4489, 353, 411, 17, 431, 1077, 265, 2545, 11222, 282, 16523, 30, 678, 478, 293, 19525, 19041, 17305, 16, 4702, 7243, 642, 3645, 289, 4702, 7346, 17305, 861, 365, 2506, 536, 685, 13334, 9216, 2236, 411, 40311, 18911, 510, 459, 3646, 696, 16, 6243, 9041, 756, 1779, 6688, 309, 11970, 13814, 4662, 309, 5814, 5003, 315, 17, 476, 399, 303, 7113, 689, 28946, 18, 817, 9327, 309, 28609, 5003, 434, 5366, 28244, 6271, 16, 32862, 282, 24610, 22662, 60, 907, 43, 1658, 18, 740, 5995, 4732, 3585, 11120, 16, 7065, 685, 11189, 10750, 1519, 33900, 289, 34956, 38030, 6688, 16, 28643, 459, 3646, 36514, 18, 4541, 7065, 3828, 381, 41079, 21356, 519, 4843, 23, 5096, 18, 365, 2343, 4209, 13156, 33060, 290, 14938, 2498, 1751, 282, 4843, 29, 5096, 16, 515, 519, 978, 322, 19740, 18, 365, 34290, 1212, 38309, 7065, 2815, 290, 2498, 1751, 309, 4843, 25, 16, 28, 5096, 16, 8707, 743, 16, 374, 11617, 895, 2957, 5873, 18, 365 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34359, 23003, 9078, 309, 505, 36297, 1756, 309, 37369, 298, 18, 3557, 322, 2619, 1293, 2868, 2158, 13588, 350, 22930, 2917, 4328, 10542, 349, 5943, 2409, 34359, 23003, 16, 309, 2468, 6319, 7385, 16728, 16, 15218, 448, 9996, 281, 7686, 1134, 473, 348, 2375, 1357, 15095, 8043, 904, 934, 411, 17, 431, 1660, 289, 17258, 5272, 24654, 36441, 18, 478, 4441, 14821, 17576, 36268, 31790, 16, 510, 10703, 12857, 408, 401, 18, 510, 24428, 2888, 2900, 33576, 42830, 624, 656, 726, 322, 3005, 18, 365, 30741, 6797, 1751, 20068, 680, 6394, 6535, 322, 687, 10604, 5676, 14135, 42918, 16, 515, 289, 43073, 371, 31452, 861, 824, 3163, 12857, 408, 1161, 16, 502, 16, 374, 282, 27907, 22104, 4137, 472, 611, 375, 31544, 7955, 289, 29151, 16387, 9996, 16, 939, 13051, 451, 5809, 18, 740, 13547, 1177, 49741, 16, 289, 4957, 281, 42578, 5702, 282, 16143, 18, 478, 7306, 6755, 13193, 36004, 542, 349, 2948, 9835, 17, 431, 2021, 7336, 12362, 16, 374, 309, 20068, 680, 6394, 8641, 289, 1003, 1329, 40285, 2599, 13928, 18, 2046, 481, 282, 28227, 37124, 16, 510, 5273, 5854, 625, 6596, 13637, 18, 510, 4338, 1299, 6453, 4901, 11359, 14697, 16, 24122, 25111, 44587, 39118, 24186, 23986, 20068, 680, 6394, 16, 1586, 2697, 2820, 2879, 953, 20215, 798, 282, 12501, 34491, 26416, 861, 7106, 16, 41968, 2891, 16074, 2919, 15993, 20068, 2127, 8417, 309, 491, 384, 24, 779, 289, 13187, 1336, 7833, 388, 289, 49335, 32825, 17, 41557, 2167, 1742, 5482, 18, 2046, 10552, 282, 1078, 309, 32957, 516, 26314, 19762, 472, 611, 375, 8251, 937, 14698, 309, 8357, 18490, 904, 309, 3453, 20068, 680, 6394, 18, 365, 31678, 2174, 3003, 32039, 478, 404, 10796, 14558, 13840, 45214, 281, 45159, 861, 4530, 867, 16, 428, 3828, 282, 11946, 6080, 478, 13261, 470, 45940, 29936, 26322, 7362, 5014, 507, 512, 16, 4871, 6997, 309, 20068, 680, 6394, 685, 22342, 363, 281, 1192, 1212, 25764, 3593, 18, 1870, 6755, 13193, 1810, 322, 898, 2574, 6225, 281, 45195, 584, 775, 5613, 16, 515, 16, 334, 3163, 5014, 507, 3583, 16, 1177, 865, 904, 289, 322, 7220, 28081, 34743, 289, 13595, 5115, 18, 439, 9216, 3781, 17, 14130, 1312, 5607, 9409, 38603, 3486, 8977, 478, 34010, 470, 1624, 374, 9959, 309, 8357, 904, 309, 20068, 680, 6394, 4590, 2919, 415, 9899, 732, 473, 43264, 1286, 3597, 13, 289, 21021, 11021, 2021, 2260, 288, 4520, 18, 832, 7501, 3236, 282, 5941, 19132, 8149, 424, 20068, 680, 17528, 282, 31168, 6700, 2592, 324, 18, 478, 26145, 4573, 840, 27944, 7726, 9345, 539, 8149, 18, 640, 20068, 680, 6394, 1513, 4604, 4367, 9345, 539, 8149, 289, 7833, 388, 424, 37369, 620, 910, 510, 1109, 6548, 10729, 31168, 6700, 2592, 324, 6070, 31401, 277, 5944, 282, 17130, 31090, 478, 1605, 2070, 4534, 470, 282, 10882, 18, 2949, 1223, 19603, 478, 397, 418, 468, 9345, 434, 9939, 5073, 1033, 7095, 758, 475, 2874, 10729, 448, 2926, 910, 5273, 6548, 10729, 16, 5076, 478, 1961, 5712, 448, 9345, 448, 16675, 448, 36194, 282, 2777, 40674, 470, 22508, 1143, 16, 828, 478, 2774, 1270, 24527, 4193, 424, 20068, 680, 17528, 861, 2, 1, 87, 1456, 81, 2448, 30, 471, 1098, 18920, 778, 294, 341, 470, 510, 21421, 868, 1442, 52, 18018, 5253, 12582, 315, 29893, 459, 3646, 696, 16, 18866, 1510, 8396, 4843, 26, 16, 22, 5096, 16, 510, 24935, 322, 1176, 16, 6881, 282, 20172, 18, 1614, 12539, 15861, 3320, 30359, 282, 1551, 309, 768, 1083, 7286, 37513, 17, 7306, 354, 2070, 16, 12130, 478, 273, 1004, 861, 20439, 9414, 9078, 6524, 7050, 15067, 14079, 18, 385, 25014, 14785, 758, 294, 9954, 423, 1442, 52, 18018, 5253, 21980, 21377, 290, 13580, 547, 2760, 464, 43427, 18, 31224, 30, 684, 1005, 14456, 7065, 2145, 1442, 52, 18018, 5253, 2487, 5206, 9280, 23594, 281, 29703, 21421, 8604, 16, 31758, 1027, 10068, 309, 15851, 39439, 282, 4843, 26, 16, 22, 5096, 473, 275, 13186, 7065, 25865, 290, 4843, 25, 16, 28, 5096, 16, 515, 334, 3761, 10015, 38341, 16, 294, 3184, 296, 2243, 11617, 36701, 814, 20439, 13875, 282, 1551, 309, 768, 1083, 7286, 37513, 17, 7306, 354, 2070, 510, 19361, 46561, 21359, 16, 2103, 20202, 9353, 2409, 21356, 510, 21421, 41992, 12582, 315, 2230, 1114, 339, 459, 3646, 36514, 16, 20518, 428, 478, 15821, 1191, 339, 1701, 470, 289, 478, 1098, 18920, 778, 294, 341, 861, 39212, 607, 49557, 505, 453, 349, 47084, 15737, 20446, 15852, 18, 20439, 10218, 381, 1263, 263, 10552, 16, 1830, 8348, 282, 22322, 778, 1551, 4674, 315, 3405, 3802, 18, 19432, 17, 7306, 354, 2070, 322, 685, 13349, 637, 381, 1263, 263, 16, 3828, 505, 15320, 6211, 297, 403, 37659, 8216, 271, 1624, 515, 478, 25039, 1972, 8950, 2137, 286, 44306, 6545, 22144, 353, 8709, 16, 374, 492, 757, 20982, 15569, 10068, 861, 478, 25559, 375, 19432, 17, 7306, 354, 2070, 3893, 16, 374, 16, 785, 14491, 289, 20818, 1063, 46002, 1967, 4463, 41268, 6059, 840, 44953, 16, 322, 840, 26171, 4302, 17963, 281, 505, 1963, 16, 510, 2815, 403, 37659, 8216, 271, 473, 18639, 354, 334, 48240, 16303, 17014, 510, 385, 505, 1963, 322, 639, 21974, 2654, 670, 41550, 15569, 33900, 861, 10671, 8075, 1133, 10068, 1442, 52, 18018, 5253, 5668, 751, 13557, 4018, 779, 18, 365, 11366, 4770, 8709, 19885, 12721, 2810, 10218, 290, 4843, 22, 5096, 48770, 309, 15851, 39439, 281, 5003, 758, 744, 312, 342, 4489, 353, 411, 17, 431, 1077, 265, 2545, 11222, 282, 16523, 30, 678, 478, 293, 19525, 19041, 17305, 16, 4702, 7243, 642, 3645, 289, 4702, 7346, 17305, 861, 365, 2506, 536, 685, 13334, 9216, 2236, 411, 40311, 18911, 510, 459, 3646, 696, 16, 6243, 9041, 756, 1779, 6688, 309, 11970, 13814, 4662, 309, 5814, 5003, 315, 17, 476, 399, 303, 7113, 689, 28946, 18, 817, 9327, 309, 28609, 5003, 434, 5366, 28244, 6271, 16, 32862, 282, 24610, 22662, 60, 907, 43, 1658, 18, 740, 5995, 4732, 3585, 11120, 16, 7065, 685, 11189, 10750, 1519, 33900, 289, 34956, 38030, 6688, 16, 28643, 459, 3646, 36514, 18, 4541, 7065, 3828, 381, 41079, 21356, 519, 4843, 23, 5096, 18, 365, 2343, 4209, 13156, 33060, 290, 14938, 2498, 1751, 282, 4843, 29, 5096, 16, 515, 519, 978, 322, 19740, 18, 365, 34290, 1212, 38309, 7065, 2815, 290, 2498, 1751, 309, 4843, 25, 16, 28, 5096, 16, 8707, 743, 16, 374, 11617, 895, 2957, 5873, 18, 365 ]
[ 38309, 349, 7504, 20981, 7065, 3110, 16, 374, 478, 41672, 1453, 470, 10068, 360, 764, 322, 40754, 15852, 12378, 18, 1540, 2074, 10996, 30103, 473, 1200, 13218, 18994, 2415, 20745, 16, 769, 45, 51, 934, 282, 2114, 5931, 459, 3646, 696, 16, 5523, 862, 3043, 9125, 23846, 1251, 6244, 14692, 13409, 289, 387, 1204, 758, 32826, 10776, 18, 24846, 6053, 769, 45, 51, 19910, 475, 1033, 16447, 9471, 16, 289, 30103, 16, 12816, 18763, 539, 442, 383, 675, 1519, 26659, 16, 2438, 3624, 309, 14874, 9811, 18, 365, 4479, 1045, 22322, 1880, 769, 45, 51, 42517, 1033, 23523, 3025, 9811, 8709, 18, 19432, 17, 7306, 354, 2070, 16, 334, 3761, 27971, 15402, 24639, 16, 18624, 34190, 16447, 2906, 6053, 478, 1098, 18920, 718, 45073, 861, 608, 919, 3444, 8709, 13690, 3467, 505, 26022, 18, 9873, 13923, 46639, 1004, 1442, 52, 18018, 5253, 14781, 4732, 3197, 18104, 17906, 549, 4461, 2145, 473, 727, 25948, 25408, 27149, 334, 47342, 3477, 11293, 289, 11052, 313, 395, 2145, 473, 55, 23004, 934, 27149, 334, 16046, 1941, 21767, 1406, 26341, 473, 39, 42, 27071, 934, 3197, 24483, 16301, 6347, 4766, 2145, 473, 24731, 25408, 19070, 334, 6365, 825, 7590, 9781, 289, 32807, 10676, 18, 365, 11130, 309, 7065, 14676, 2904, 424, 635, 4396, 334, 15140, 277, 29976, 354, 2145, 18, 38321, 12530, 12369, 16, 428, 22322, 2818, 6744, 954, 3225, 9024, 649, 4443, 48770, 13710, 541, 12457, 289, 322, 639, 520, 34037, 7194, 40075, 1232, 1791, 18, 39166, 448, 38164, 2145, 31439, 7065, 282, 970, 16, 374, 16157, 411, 17, 431, 505, 5348, 8396, 4843, 11275, 3763, 18, 365, 20172, 7801, 17786, 15369, 6208, 18, 2949, 478, 1098, 18920, 718, 45073, 470, 5174, 520, 11685, 6187, 334, 6153, 7715, 7070, 324, 450, 2243, 1624, 396, 3290, 4749, 282, 1442, 52, 18018, 5253, 2555, 986, 18, 19432, 17, 7306, 354, 2070, 1038, 1143, 322, 4452, 282, 20172, 18, 1442, 52, 18018, 5253, 1248, 1551, 9414, 37833, 329, 1047, 31752, 15067, 16748, 18, 608, 8709, 912, 2678, 481, 2048, 4426, 14857, 16, 5816, 3250, 567, 808, 20454, 12142, 18, 1606, 32629, 349, 6049, 4697, 27383, 2990, 16161, 49834, 12988, 1378, 15067, 16748, 16, 41868, 1519, 33804, 282, 5492, 11400, 670, 37833, 31752, 4419, 4460, 1378, 28029, 16, 827, 3193, 670, 33058, 485, 19361, 35049, 2241, 1482, 2696, 31333, 13312, 670, 31459, 925, 722, 38423, 18, 17974, 12233, 1442, 52, 18018, 5253, 15488, 10230, 18, 20439, 23751, 16, 374, 21421, 19193, 16, 41550, 14785, 432, 294, 13155, 20002, 26341, 16, 4703, 1143, 16, 289, 322, 15279, 27384, 282, 1551, 309, 1209, 16, 515, 1038, 9414, 21377, 281, 2872, 290, 13580, 547, 2760, 464, 15067, 16748, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 2430, 553, 2145, 282, 4599, 27613, 2241, 37940, 4020, 73, 77, 1698, 7869, 294, 1078, 416, 13062, 3873, 8053, 16, 18479, 42513, 5792, 18, 5333, 2175, 16, 5977, 5035, 35109, 34031, 4366, 28343, 31117, 6012, 6050, 541, 1129, 6018, 758, 34196, 18, 12824, 411, 39307, 16, 1029, 895, 5582, 1291, 282, 4542, 23616, 2793, 16, 1623, 16422, 16, 1029, 20515, 5907, 3400, 1634, 35213, 291, 309, 2923, 25198, 18, 31224, 30, 22681, 2145, 36176, 28565, 14900, 2766, 16, 1029, 3953, 14074, 15154, 282, 1767, 16564, 8786, 16, 961, 16, 334, 4734, 31988, 16, 23817, 424, 17019, 3586, 9526, 3623, 18, 41391, 978, 4478, 2756, 16220, 23990, 25045, 360, 478, 14573, 1663, 432, 23036, 910, 961, 334, 330, 9961, 309, 32345, 35789, 7435, 18, 9967, 1011, 978, 2438, 3665, 290, 970, 16, 374, 26459, 11270, 2145, 7316, 305, 37940, 4020, 73, 77, 24629, 45122, 10710, 39182, 289, 5953, 11940, 281, 1420, 6271, 282, 1595, 10979, 6656, 18, 889, 46703, 6081, 2818, 7741, 660, 344, 1833, 1293, 1791, 510, 492, 322, 5304, 708, 25767, 41153, 289, 26693, 329, 11673, 6271, 749, 28081, 40520, 11944, 16, 367, 1038, 975, 840, 16859, 17899, 1423, 15966, 282, 35819, 18, 985, 12698, 33082, 49799, 25151, 477, 7755, 309, 14412, 46357, 16, 3433, 11268, 6937, 34031, 282, 15614, 6031, 895, 31134, 13190, 1920, 309, 33937, 24642, 16, 453, 428, 37423, 6364, 1924, 7272, 477, 1963, 3873, 8053, 18, 478, 4441, 2994, 275, 1208, 468, 282, 10979, 6656, 65, 1623, 40931, 25672, 309, 30416, 313, 11612, 281, 3195, 37940, 4020, 73, 77, 16, 1029, 764, 935, 322, 685, 8912, 363, 18, 740, 334, 8331, 1177, 13547, 309, 37186, 9494, 895, 4417, 8534, 541, 2145, 910, 510, 2815, 41330, 769, 5879, 2217, 2109, 86, 21516, 1971, 25480, 18, 10648, 3495, 626, 2440, 18, 3495, 626, 2440, 5692, 16, 374, 14267, 282, 30416, 452, 478, 42579, 487, 1852, 31349, 910, 428, 289, 7514, 549, 15818, 11612, 18, 478, 40050, 895, 29284, 16, 4092, 659, 16775, 9494, 309, 3177, 5814, 424, 867, 575, 3818, 33127, 16, 935, 827, 481, 43395, 18, 4922, 6888, 478, 1972, 349, 14854, 470, 895, 1852, 25404, 4699, 541, 3591, 2241, 16, 2245, 2545, 11588, 309, 2923, 11612, 910, 510, 5273, 12189, 18, 824, 505, 3163, 16, 424, 5335, 10481, 487, 518, 2241, 16, 961, 31518, 37805, 289, 37888, 10996, 9202, 18, 478, 18771, 322, 2619, 16, 827, 481, 840, 2826, 42015, 16, 5582, 1829, 30495, 25254, 3785, 281, 15072, 9217, 3663, 910, 510, 2815, 3495, 626, 2440, 18, 20409, 30506, 1234, 527, 70, 14320, 18683, 35314, 267, 12557, 477, 2200, 12360, 323, 16, 515, 371, 803, 17029, 4815, 668, 38554, 510, 16422, 18, 478, 10269, 879, 6548, 1247, 1336, 510, 322, 11585, 520, 360, 1967, 13951, 681, 31388, 309, 10853, 16422, 35, 889, 1089, 321, 2232, 25254, 3785, 910, 510, 5273, 35314, 267, 18, 7743, 282, 970, 16, 374, 3716, 1759, 21641, 16422, 16, 3235, 3364, 10358, 18008, 19328, 5982, 16, 14765, 282, 25198, 18, 2949, 924, 16, 33863, 8275, 1623, 2702, 11726, 536, 541, 2241, 18, 832, 41265, 1433, 16422, 40707, 8357, 411, 11612, 282, 2145, 912, 289, 2393, 9080, 18, 1591, 17, 7329, 16, 481, 1033, 11483, 1063, 34444, 3823, 18, 403, 23305, 6965, 3191, 4961, 411, 11612, 12254, 1211, 2364, 4843, 10590, 282, 5284, 16, 374, 11534, 4803, 13279, 7043, 43460, 18, 1591, 17, 8678, 16, 7814, 33946, 15965, 289, 1300, 42638, 16, 367, 1038, 27770, 334, 697, 20311, 309, 2923, 2145, 18, 403, 7555, 16, 23819, 15082, 484, 282, 28059, 281, 1621, 48, 30640, 17, 488, 436, 426, 339, 16, 7709, 4309, 3247, 16, 39033, 45247, 289, 311, 18, 280, 18, 510, 475, 870 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 38309, 349, 7504, 20981, 7065, 3110, 16, 374, 478, 41672, 1453, 470, 10068, 360, 764, 322, 40754, 15852, 12378, 18, 1540, 2074, 10996, 30103, 473, 1200, 13218, 18994, 2415, 20745, 16, 769, 45, 51, 934, 282, 2114, 5931, 459, 3646, 696, 16, 5523, 862, 3043, 9125, 23846, 1251, 6244, 14692, 13409, 289, 387, 1204, 758, 32826, 10776, 18, 24846, 6053, 769, 45, 51, 19910, 475, 1033, 16447, 9471, 16, 289, 30103, 16, 12816, 18763, 539, 442, 383, 675, 1519, 26659, 16, 2438, 3624, 309, 14874, 9811, 18, 365, 4479, 1045, 22322, 1880, 769, 45, 51, 42517, 1033, 23523, 3025, 9811, 8709, 18, 19432, 17, 7306, 354, 2070, 16, 334, 3761, 27971, 15402, 24639, 16, 18624, 34190, 16447, 2906, 6053, 478, 1098, 18920, 718, 45073, 861, 608, 919, 3444, 8709, 13690, 3467, 505, 26022, 18, 9873, 13923, 46639, 1004, 1442, 52, 18018, 5253, 14781, 4732, 3197, 18104, 17906, 549, 4461, 2145, 473, 727, 25948, 25408, 27149, 334, 47342, 3477, 11293, 289, 11052, 313, 395, 2145, 473, 55, 23004, 934, 27149, 334, 16046, 1941, 21767, 1406, 26341, 473, 39, 42, 27071, 934, 3197, 24483, 16301, 6347, 4766, 2145, 473, 24731, 25408, 19070, 334, 6365, 825, 7590, 9781, 289, 32807, 10676, 18, 365, 11130, 309, 7065, 14676, 2904, 424, 635, 4396, 334, 15140, 277, 29976, 354, 2145, 18, 38321, 12530, 12369, 16, 428, 22322, 2818, 6744, 954, 3225, 9024, 649, 4443, 48770, 13710, 541, 12457, 289, 322, 639, 520, 34037, 7194, 40075, 1232, 1791, 18, 39166, 448, 38164, 2145, 31439, 7065, 282, 970, 16, 374, 16157, 411, 17, 431, 505, 5348, 8396, 4843, 11275, 3763, 18, 365, 20172, 7801, 17786, 15369, 6208, 18, 2949, 478, 1098, 18920, 718, 45073, 470, 5174, 520, 11685, 6187, 334, 6153, 7715, 7070, 324, 450, 2243, 1624, 396, 3290, 4749, 282, 1442, 52, 18018, 5253, 2555, 986, 18, 19432, 17, 7306, 354, 2070, 1038, 1143, 322, 4452, 282, 20172, 18, 1442, 52, 18018, 5253, 1248, 1551, 9414, 37833, 329, 1047, 31752, 15067, 16748, 18, 608, 8709, 912, 2678, 481, 2048, 4426, 14857, 16, 5816, 3250, 567, 808, 20454, 12142, 18, 1606, 32629, 349, 6049, 4697, 27383, 2990, 16161, 49834, 12988, 1378, 15067, 16748, 16, 41868, 1519, 33804, 282, 5492, 11400, 670, 37833, 31752, 4419, 4460, 1378, 28029, 16, 827, 3193, 670, 33058, 485, 19361, 35049, 2241, 1482, 2696, 31333, 13312, 670, 31459, 925, 722, 38423, 18, 17974, 12233, 1442, 52, 18018, 5253, 15488, 10230, 18, 20439, 23751, 16, 374, 21421, 19193, 16, 41550, 14785, 432, 294, 13155, 20002, 26341, 16, 4703, 1143, 16, 289, 322, 15279, 27384, 282, 1551, 309, 1209, 16, 515, 1038, 9414, 21377, 281, 2872, 290, 13580, 547, 2760, 464, 15067, 16748, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 2430, 553, 2145, 282, 4599, 27613, 2241, 37940, 4020, 73, 77, 1698, 7869, 294, 1078, 416, 13062, 3873, 8053, 16, 18479, 42513, 5792, 18, 5333, 2175, 16, 5977, 5035, 35109, 34031, 4366, 28343, 31117, 6012, 6050, 541, 1129, 6018, 758, 34196, 18, 12824, 411, 39307, 16, 1029, 895, 5582, 1291, 282, 4542, 23616, 2793, 16, 1623, 16422, 16, 1029, 20515, 5907, 3400, 1634, 35213, 291, 309, 2923, 25198, 18, 31224, 30, 22681, 2145, 36176, 28565, 14900, 2766, 16, 1029, 3953, 14074, 15154, 282, 1767, 16564, 8786, 16, 961, 16, 334, 4734, 31988, 16, 23817, 424, 17019, 3586, 9526, 3623, 18, 41391, 978, 4478, 2756, 16220, 23990, 25045, 360, 478, 14573, 1663, 432, 23036, 910, 961, 334, 330, 9961, 309, 32345, 35789, 7435, 18, 9967, 1011, 978, 2438, 3665, 290, 970, 16, 374, 26459, 11270, 2145, 7316, 305, 37940, 4020, 73, 77, 24629, 45122, 10710, 39182, 289, 5953, 11940, 281, 1420, 6271, 282, 1595, 10979, 6656, 18, 889, 46703, 6081, 2818, 7741, 660, 344, 1833, 1293, 1791, 510, 492, 322, 5304, 708, 25767, 41153, 289, 26693, 329, 11673, 6271, 749, 28081, 40520, 11944, 16, 367, 1038, 975, 840, 16859, 17899, 1423, 15966, 282, 35819, 18, 985, 12698, 33082, 49799, 25151, 477, 7755, 309, 14412, 46357, 16, 3433, 11268, 6937, 34031, 282, 15614, 6031, 895, 31134, 13190, 1920, 309, 33937, 24642, 16, 453, 428, 37423, 6364, 1924, 7272, 477, 1963, 3873, 8053, 18, 478, 4441, 2994, 275, 1208, 468, 282, 10979, 6656, 65, 1623, 40931, 25672, 309, 30416, 313, 11612, 281, 3195, 37940, 4020, 73, 77, 16, 1029, 764, 935, 322, 685, 8912, 363, 18, 740, 334, 8331, 1177, 13547, 309, 37186, 9494, 895, 4417, 8534, 541, 2145, 910, 510, 2815, 41330, 769, 5879, 2217, 2109, 86, 21516, 1971, 25480, 18, 10648, 3495, 626, 2440, 18, 3495, 626, 2440, 5692, 16, 374, 14267, 282, 30416, 452, 478, 42579, 487, 1852, 31349, 910, 428, 289, 7514, 549, 15818, 11612, 18, 478, 40050, 895, 29284, 16, 4092, 659, 16775, 9494, 309, 3177, 5814, 424, 867, 575, 3818, 33127, 16, 935, 827, 481, 43395, 18, 4922, 6888, 478, 1972, 349, 14854, 470, 895, 1852, 25404, 4699, 541, 3591, 2241, 16, 2245, 2545, 11588, 309, 2923, 11612, 910, 510, 5273, 12189, 18, 824, 505, 3163, 16, 424, 5335, 10481, 487, 518, 2241, 16, 961, 31518, 37805, 289, 37888, 10996, 9202, 18, 478, 18771, 322, 2619, 16, 827, 481, 840, 2826, 42015, 16, 5582, 1829, 30495, 25254, 3785, 281, 15072, 9217, 3663, 910, 510, 2815, 3495, 626, 2440, 18, 20409, 30506, 1234, 527, 70, 14320, 18683, 35314, 267, 12557, 477, 2200, 12360, 323, 16, 515, 371, 803, 17029, 4815, 668, 38554, 510, 16422, 18, 478, 10269, 879, 6548, 1247, 1336, 510, 322, 11585, 520, 360, 1967, 13951, 681, 31388, 309, 10853, 16422, 35, 889, 1089, 321, 2232, 25254, 3785, 910, 510, 5273, 35314, 267, 18, 7743, 282, 970, 16, 374, 3716, 1759, 21641, 16422, 16, 3235, 3364, 10358, 18008, 19328, 5982, 16, 14765, 282, 25198, 18, 2949, 924, 16, 33863, 8275, 1623, 2702, 11726, 536, 541, 2241, 18, 832, 41265, 1433, 16422, 40707, 8357, 411, 11612, 282, 2145, 912, 289, 2393, 9080, 18, 1591, 17, 7329, 16, 481, 1033, 11483, 1063, 34444, 3823, 18, 403, 23305, 6965, 3191, 4961, 411, 11612, 12254, 1211, 2364, 4843, 10590, 282, 5284, 16, 374, 11534, 4803, 13279, 7043, 43460, 18, 1591, 17, 8678, 16, 7814, 33946, 15965, 289, 1300, 42638, 16, 367, 1038, 27770, 334, 697, 20311, 309, 2923, 2145, 18, 403, 7555, 16, 23819, 15082, 484, 282, 28059, 281, 1621, 48, 30640, 17, 488, 436, 426, 339, 16, 7709, 4309, 3247, 16, 39033, 45247, 289, 311, 18, 280, 18, 510, 475, 870 ]
[ 8578, 18495, 3236, 282, 25198, 18, 9384, 1611, 4562, 6352, 7489, 17155, 23753, 22756, 282, 15770, 16, 374, 11534, 6645, 2358, 289, 15733, 2582, 3191, 454, 18, 36176, 28565, 2944, 8123, 16422, 22482, 8357, 282, 2145, 16, 42654, 2241, 46224, 40236, 16, 515, 8084, 935, 40236, 322, 8070, 16813, 10089, 31763, 10287, 448, 11608, 478, 274, 35980, 470, 334, 10659, 272, 11146, 2611, 282, 23577, 18, 985, 27250, 478, 46088, 18, 8381, 470, 21701, 41330, 38872, 478, 1182, 312, 3663, 36757, 470, 6816, 26679, 1690, 12084, 16, 2766, 290, 13441, 16564, 8786, 2145, 322, 334, 5275, 2154, 30106, 49299, 1991, 501, 22484, 309, 2923, 2553, 18, 11849, 6152, 12532, 346, 37888, 5355, 7297, 37940, 4020, 73, 77, 2145, 1747, 28571, 1519, 1033, 41862, 9202, 541, 37647, 2150, 5324, 1061, 43, 16, 374, 282, 15614, 6031, 7730, 305, 13312, 2706, 9, 11673, 31629, 39558, 416, 2630, 16, 961, 294, 28036, 18254, 764, 322, 17245, 360, 11993, 281, 37940, 4020, 73, 77, 18, 365, 15614, 20545, 20495, 6271, 1747, 12860, 17624, 2834, 1947, 16, 374, 1038, 31134, 2098, 2269, 309, 12402, 14822, 18, 478, 2176, 2218, 2193, 16, 282, 1750, 24176, 41561, 2804, 11220, 289, 1078, 432, 2559, 25198, 1698, 1038, 5582, 1291, 22822, 31433, 6657, 16, 21738, 291, 16, 44973, 289, 2054, 3899, 16, 961, 28326, 360, 10241, 282, 15770, 18, 30704, 16, 1059, 58, 23459, 20114, 12772, 84, 18, 473, 50, 58, 18040, 934, 860, 658, 7169, 40044, 473, 49, 57, 13, 289, 40262, 12772, 84, 18, 473, 907, 19761, 39, 6778, 2805, 19478, 15298, 282, 2518, 763, 3281, 8040, 6876, 33057, 18, 996, 16, 1800, 309, 3059, 23173, 781, 6236, 290, 14412, 28563, 47473, 1059, 58, 23459, 20114, 16, 334, 1754, 7614, 306, 13965, 9811, 309, 26314, 282, 9802, 5259, 9, 910, 510, 5273, 12189, 18, 1397, 5327, 38329, 27398, 354, 16422, 16, 502, 2353, 8097, 16, 374, 33063, 49049, 322, 1413, 576, 19599, 13223, 309, 19540, 7005, 2241, 18, 478, 677, 7623, 2083, 16422, 3225, 8945, 11897, 34530, 309, 1617, 13400, 29711, 16, 1611, 11359, 309, 2923, 11612, 18, 48878, 16, 374, 11573, 17938, 26788, 10241, 282, 6081, 1212, 9804, 13309, 14113, 43508, 477, 1963, 8243, 41382, 16, 961, 3929, 2702, 12334, 3276, 45121, 334, 14797, 8608, 5995, 289, 2204, 4568, 26630, 18, 12280, 1038, 8097, 16, 374, 16422, 7556, 14225, 484, 282, 41495, 6469, 1385, 34107, 289, 5117, 16, 18680, 360, 1639, 10432, 40825, 10068, 309, 6081, 1212, 5814, 18, 365, 2630, 281, 828, 20018, 16, 11453, 2147, 282, 28731, 1045, 8633, 3716, 749, 9713, 309, 5066, 4843, 4691, 27, 5096, 18, 1312, 944, 1063, 7072, 11400, 4896, 4843, 22, 3902, 910, 510, 45574, 7725, 2016, 478, 32485, 18, 8381, 861, 2, 1, 87, 1456, 81, 2448, 30, 9676, 576, 3665, 16, 374, 13866, 812, 9305, 9632, 434, 2394, 665, 36082, 17, 28028, 334, 10279, 1147, 5594, 1433, 6665, 954, 9441, 14457, 7968, 925, 6484, 282, 17955, 34768, 567, 808, 11815, 282, 378, 21541, 283, 292, 4172, 18, 640, 1110, 14097, 292, 11471, 343, 18472, 11464, 1756, 16, 329, 22603, 12620, 1760, 17, 17827, 7362, 404, 35992, 341, 1161, 18, 28462, 9680, 11471, 382, 625, 1049, 5227, 636, 6992, 4141, 24989, 16, 374, 31980, 322, 2202, 1909, 1728, 14248, 16, 1548, 374, 541, 1710, 478, 1344, 6740, 2223, 861, 31224, 30, 16385, 24484, 19186, 5120, 4178, 343, 18061, 31980, 13309, 309, 6269, 1385, 11338, 289, 20539, 21708, 294, 590, 18321, 282, 13459, 554, 294, 4453, 15324, 5071, 4276, 18357, 5123, 4033, 3045, 272, 1624, 41530, 3914, 448, 14326, 290, 44617, 10649, 722, 1354, 510, 424, 9444, 625, 1049, 5227, 636, 6992, 4141, 18, 20507, 16, 309, 43035, 282, 378, 21541, 283, 292, 4172, 11471, 343, 37999, 281, 3571, 3851, 17174, 16, 290, 1754, 519, 978, 6175, 322, 8846, 15905, 30439, 18, 4756, 30751, 16, 374, 5120, 4178, 582, 309, 14097, 292, 5736, 1472, 2500, 24613, 27303, 43988, 45637, 16, 1341, 3732, 764, 282, 12354, 7847, 779, 18, 478, 3693, 1293, 2868, 519, 18164, 16423, 16130, 17, 960, 417, 10765, 676, 282, 11643, 27901, 18, 1345, 20353, 294, 40801, 16, 961, 11095, 4110, 959, 20152, 282, 12338, 18, 365, 3507, 417, 9580, 977, 309, 44362, 9991, 16, 1011, 1660, 1833, 31443, 282, 22381, 16, 988, 19902, 3238, 17522, 910, 510, 20331, 1655, 11471, 343, 18, 1598, 17, 431, 17336, 9441, 3643, 3711, 4010, 17, 299, 808, 4975, 649, 282, 11395, 409, 289, 22840, 23356, 16130, 17, 960, 289, 16628, 1175, 16, 374, 16, 13649, 16, 856, 862, 309, 13148, 289, 5492, 5120, 4178, 382, 309, 43035, 18, 2046, 1441, 12374, 16, 374, 30516, 6295, 906, 764, 16859, 18, 824, 3352, 478, 8936, 7380, 14243, 910, 282, 378, 21541, 283, 292, 4172, 9441, 14457, 7968, 1154, 322, 687, 16110, 29557, 16, 515, 289, 6484, 282, 10853, 16, 367, 12184, 510, 282, 17955, 34768, 18, 5454, 16, 1717, 2391, 11471, 343, 322, 8093, 309, 24937, 3162, 1360, 4696, 16, 2486, 5736, 373, 4751, 1450, 9700, 5859, 288, 3339, 7362, 392, 35992, 7219, 272, 289, 31911, 12620, 8615, 269, 18, 365, 6031, 1760, 17, 16981, 5725, 613, 5227, 636, 6992, 4141, 16, 2615, 1205, 5358, 3308, 309, 5629, 304, 5066, 16, 2036, 1773, 2319, 1033, 3952, 668, 289, 8460, 668, 9441, 14457, 309, 430, 16, 8914, 26456, 289, 360, 10501, 329, 1710, 16, 3848, 1223, 16, 13180, 2678, 282, 1354, 1852, 16586, 680, 14007, 761, 18, 9822, 27846, 37113, 11815, 35992, 341, 1161, 12816, 6245, 14710, 40225, 16174, 329, 9441, 3643, 16, 453, 374, 6665, 763, 8477, 993, 1086, 687, 309, 36630, 282, 1187, 6183, 32707, 18, 18561, 16, 374, 978, 2950, 18, 478, 12134, 326, 14965, 290, 970, 16, 374, 16, 282, 4784, 16, 24883, 322, 27547, 1745, 6441, 36082, 16, 510, 24989, 5227, 636, 6992, 4141, 726, 1011, 14631, 31343, 5725, 873, 18, 510, 4386, 355, 15825, 281, 1420, 42210, 16, 10073, 26837, 16, 2006, 7820, 11464, 1756, 16, 367, 322, 7015, 16, 2006, 322, 11576, 2236, 26456, 18, 1253, 510, 9546, 451, 5222, 16, 481, 1904, 18, 629, 7058, 6915, 17509, 43301, 15465, 16, 2391, 541, 1710, 6740, 2223, 1003, 861, 22314, 953, 16, 1759, 21238, 282, 8933, 5227, 636, 6992, 4141, 32611, 9441, 3643, 290, 970, 16, 374, 678, 8423, 1472, 9632, 668, 14802, 36082, 18, 12280, 8097, 16, 374, 329, 11471, 382, 906, 28610, 2678, 475, 17, 2767, 1852, 14007, 761, 8615, 269, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8578, 18495, 3236, 282, 25198, 18, 9384, 1611, 4562, 6352, 7489, 17155, 23753, 22756, 282, 15770, 16, 374, 11534, 6645, 2358, 289, 15733, 2582, 3191, 454, 18, 36176, 28565, 2944, 8123, 16422, 22482, 8357, 282, 2145, 16, 42654, 2241, 46224, 40236, 16, 515, 8084, 935, 40236, 322, 8070, 16813, 10089, 31763, 10287, 448, 11608, 478, 274, 35980, 470, 334, 10659, 272, 11146, 2611, 282, 23577, 18, 985, 27250, 478, 46088, 18, 8381, 470, 21701, 41330, 38872, 478, 1182, 312, 3663, 36757, 470, 6816, 26679, 1690, 12084, 16, 2766, 290, 13441, 16564, 8786, 2145, 322, 334, 5275, 2154, 30106, 49299, 1991, 501, 22484, 309, 2923, 2553, 18, 11849, 6152, 12532, 346, 37888, 5355, 7297, 37940, 4020, 73, 77, 2145, 1747, 28571, 1519, 1033, 41862, 9202, 541, 37647, 2150, 5324, 1061, 43, 16, 374, 282, 15614, 6031, 7730, 305, 13312, 2706, 9, 11673, 31629, 39558, 416, 2630, 16, 961, 294, 28036, 18254, 764, 322, 17245, 360, 11993, 281, 37940, 4020, 73, 77, 18, 365, 15614, 20545, 20495, 6271, 1747, 12860, 17624, 2834, 1947, 16, 374, 1038, 31134, 2098, 2269, 309, 12402, 14822, 18, 478, 2176, 2218, 2193, 16, 282, 1750, 24176, 41561, 2804, 11220, 289, 1078, 432, 2559, 25198, 1698, 1038, 5582, 1291, 22822, 31433, 6657, 16, 21738, 291, 16, 44973, 289, 2054, 3899, 16, 961, 28326, 360, 10241, 282, 15770, 18, 30704, 16, 1059, 58, 23459, 20114, 12772, 84, 18, 473, 50, 58, 18040, 934, 860, 658, 7169, 40044, 473, 49, 57, 13, 289, 40262, 12772, 84, 18, 473, 907, 19761, 39, 6778, 2805, 19478, 15298, 282, 2518, 763, 3281, 8040, 6876, 33057, 18, 996, 16, 1800, 309, 3059, 23173, 781, 6236, 290, 14412, 28563, 47473, 1059, 58, 23459, 20114, 16, 334, 1754, 7614, 306, 13965, 9811, 309, 26314, 282, 9802, 5259, 9, 910, 510, 5273, 12189, 18, 1397, 5327, 38329, 27398, 354, 16422, 16, 502, 2353, 8097, 16, 374, 33063, 49049, 322, 1413, 576, 19599, 13223, 309, 19540, 7005, 2241, 18, 478, 677, 7623, 2083, 16422, 3225, 8945, 11897, 34530, 309, 1617, 13400, 29711, 16, 1611, 11359, 309, 2923, 11612, 18, 48878, 16, 374, 11573, 17938, 26788, 10241, 282, 6081, 1212, 9804, 13309, 14113, 43508, 477, 1963, 8243, 41382, 16, 961, 3929, 2702, 12334, 3276, 45121, 334, 14797, 8608, 5995, 289, 2204, 4568, 26630, 18, 12280, 1038, 8097, 16, 374, 16422, 7556, 14225, 484, 282, 41495, 6469, 1385, 34107, 289, 5117, 16, 18680, 360, 1639, 10432, 40825, 10068, 309, 6081, 1212, 5814, 18, 365, 2630, 281, 828, 20018, 16, 11453, 2147, 282, 28731, 1045, 8633, 3716, 749, 9713, 309, 5066, 4843, 4691, 27, 5096, 18, 1312, 944, 1063, 7072, 11400, 4896, 4843, 22, 3902, 910, 510, 45574, 7725, 2016, 478, 32485, 18, 8381, 861, 2, 1, 87, 1456, 81, 2448, 30, 9676, 576, 3665, 16, 374, 13866, 812, 9305, 9632, 434, 2394, 665, 36082, 17, 28028, 334, 10279, 1147, 5594, 1433, 6665, 954, 9441, 14457, 7968, 925, 6484, 282, 17955, 34768, 567, 808, 11815, 282, 378, 21541, 283, 292, 4172, 18, 640, 1110, 14097, 292, 11471, 343, 18472, 11464, 1756, 16, 329, 22603, 12620, 1760, 17, 17827, 7362, 404, 35992, 341, 1161, 18, 28462, 9680, 11471, 382, 625, 1049, 5227, 636, 6992, 4141, 24989, 16, 374, 31980, 322, 2202, 1909, 1728, 14248, 16, 1548, 374, 541, 1710, 478, 1344, 6740, 2223, 861, 31224, 30, 16385, 24484, 19186, 5120, 4178, 343, 18061, 31980, 13309, 309, 6269, 1385, 11338, 289, 20539, 21708, 294, 590, 18321, 282, 13459, 554, 294, 4453, 15324, 5071, 4276, 18357, 5123, 4033, 3045, 272, 1624, 41530, 3914, 448, 14326, 290, 44617, 10649, 722, 1354, 510, 424, 9444, 625, 1049, 5227, 636, 6992, 4141, 18, 20507, 16, 309, 43035, 282, 378, 21541, 283, 292, 4172, 11471, 343, 37999, 281, 3571, 3851, 17174, 16, 290, 1754, 519, 978, 6175, 322, 8846, 15905, 30439, 18, 4756, 30751, 16, 374, 5120, 4178, 582, 309, 14097, 292, 5736, 1472, 2500, 24613, 27303, 43988, 45637, 16, 1341, 3732, 764, 282, 12354, 7847, 779, 18, 478, 3693, 1293, 2868, 519, 18164, 16423, 16130, 17, 960, 417, 10765, 676, 282, 11643, 27901, 18, 1345, 20353, 294, 40801, 16, 961, 11095, 4110, 959, 20152, 282, 12338, 18, 365, 3507, 417, 9580, 977, 309, 44362, 9991, 16, 1011, 1660, 1833, 31443, 282, 22381, 16, 988, 19902, 3238, 17522, 910, 510, 20331, 1655, 11471, 343, 18, 1598, 17, 431, 17336, 9441, 3643, 3711, 4010, 17, 299, 808, 4975, 649, 282, 11395, 409, 289, 22840, 23356, 16130, 17, 960, 289, 16628, 1175, 16, 374, 16, 13649, 16, 856, 862, 309, 13148, 289, 5492, 5120, 4178, 382, 309, 43035, 18, 2046, 1441, 12374, 16, 374, 30516, 6295, 906, 764, 16859, 18, 824, 3352, 478, 8936, 7380, 14243, 910, 282, 378, 21541, 283, 292, 4172, 9441, 14457, 7968, 1154, 322, 687, 16110, 29557, 16, 515, 289, 6484, 282, 10853, 16, 367, 12184, 510, 282, 17955, 34768, 18, 5454, 16, 1717, 2391, 11471, 343, 322, 8093, 309, 24937, 3162, 1360, 4696, 16, 2486, 5736, 373, 4751, 1450, 9700, 5859, 288, 3339, 7362, 392, 35992, 7219, 272, 289, 31911, 12620, 8615, 269, 18, 365, 6031, 1760, 17, 16981, 5725, 613, 5227, 636, 6992, 4141, 16, 2615, 1205, 5358, 3308, 309, 5629, 304, 5066, 16, 2036, 1773, 2319, 1033, 3952, 668, 289, 8460, 668, 9441, 14457, 309, 430, 16, 8914, 26456, 289, 360, 10501, 329, 1710, 16, 3848, 1223, 16, 13180, 2678, 282, 1354, 1852, 16586, 680, 14007, 761, 18, 9822, 27846, 37113, 11815, 35992, 341, 1161, 12816, 6245, 14710, 40225, 16174, 329, 9441, 3643, 16, 453, 374, 6665, 763, 8477, 993, 1086, 687, 309, 36630, 282, 1187, 6183, 32707, 18, 18561, 16, 374, 978, 2950, 18, 478, 12134, 326, 14965, 290, 970, 16, 374, 16, 282, 4784, 16, 24883, 322, 27547, 1745, 6441, 36082, 16, 510, 24989, 5227, 636, 6992, 4141, 726, 1011, 14631, 31343, 5725, 873, 18, 510, 4386, 355, 15825, 281, 1420, 42210, 16, 10073, 26837, 16, 2006, 7820, 11464, 1756, 16, 367, 322, 7015, 16, 2006, 322, 11576, 2236, 26456, 18, 1253, 510, 9546, 451, 5222, 16, 481, 1904, 18, 629, 7058, 6915, 17509, 43301, 15465, 16, 2391, 541, 1710, 6740, 2223, 1003, 861, 22314, 953, 16, 1759, 21238, 282, 8933, 5227, 636, 6992, 4141, 32611, 9441, 3643, 290, 970, 16, 374, 678, 8423, 1472, 9632, 668, 14802, 36082, 18, 12280, 8097, 16, 374, 329, 11471, 382, 906, 28610, 2678, 475, 17, 2767, 1852, 14007, 761, 8615, 269, 322 ]
[ 282, 17099, 16, 367, 282, 3541, 432, 23130, 16, 515, 18823, 1175, 1655, 32655, 6070, 21739, 347, 1624, 17279, 1779, 1423, 39453, 9318, 18, 824, 23386, 23651, 11304, 4562, 7193, 49266, 22244, 4287, 289, 2685, 2373, 977, 1472, 16865, 14251, 18, 459, 1336, 510, 7242, 413, 18, 3782, 2064, 282, 13459, 554, 16, 3655, 9680, 16, 3531, 18052, 289, 13534, 510, 334, 5833, 3538, 16, 10421, 3050, 27652, 17516, 343, 329, 9441, 3643, 2820, 14864, 16, 289, 13320, 37396, 42021, 35525, 38966, 18, 403, 2222, 575, 537, 282, 17607, 1750, 2955, 2023, 16, 374, 11471, 343, 16706, 282, 25603, 617, 9680, 718, 12183, 18, 32164, 321, 4033, 3045, 510, 15420, 49909, 38331, 16, 1029, 16, 428, 289, 5227, 636, 6992, 4141, 16, 7860, 300, 16586, 718, 4027, 289, 2394, 665, 378, 21541, 283, 26990, 510, 687, 282, 1292, 1212, 5594, 750, 30, 417, 293, 1985, 1614, 280, 24955, 344, 15690, 306, 30956, 12620, 36082, 17, 28028, 16, 367, 8814, 1577, 768, 1083, 3076, 34733, 27852, 4445, 7610, 6637, 18, 478, 17810, 3045, 510, 14709, 1815, 1135, 16, 492, 10793, 9680, 1314, 18, 608, 1047, 6450, 8394, 10779, 2257, 1749, 16, 961, 21384, 20555, 808, 309, 1269, 986, 16, 289, 16, 827, 24883, 840, 44521, 16, 678, 1320, 840, 26545, 1122, 910, 510, 11623, 9321, 37777, 9680, 3875, 334, 10279, 1147, 5594, 1433, 12836, 37448, 401, 18, 45598, 16, 374, 3253, 31980, 14027, 5779, 1694, 1728, 9798, 17799, 5227, 636, 6992, 4141, 290, 970, 16, 374, 678, 1745, 322, 3207, 36300, 281, 5157, 979, 360, 35992, 341, 1161, 18, 5333, 2175, 16, 11471, 343, 322, 26136, 16154, 290, 3177, 26822, 294, 4033, 3045, 272, 428, 290, 5474, 1484, 411, 18232, 343, 18, 478, 45066, 1749, 5641, 13173, 16, 374, 417, 322, 4608, 8701, 30293, 428, 11300, 32670, 18, 11489, 9645, 1011, 13006, 354, 322, 898, 2282, 15844, 4519, 536, 9416, 15273, 282, 1634, 10719, 670, 282, 3198, 18, 981, 16, 417, 7387, 349, 3453, 7773, 5142, 7784, 16, 515, 541, 703, 3240, 4836, 282, 10279, 547, 5594, 750, 510, 481, 9038, 9720, 360, 924, 16, 374, 417, 14257, 18, 1012, 16716, 477, 20447, 16, 417, 322, 31660, 5522, 48839, 16, 3387, 417, 5382, 16, 374, 7199, 4519, 451, 16837, 924, 16, 374, 309, 1500, 2083, 417, 3207, 2048, 910, 510, 8765, 6818, 5120, 4178, 343, 18, 20346, 685, 18913, 7953, 451, 24724, 7934, 19702, 282, 10279, 547, 5594, 750, 8900, 17, 28028, 19, 1618, 18, 1178, 9713, 322, 14864, 16, 502, 10933, 28929, 3319, 3955, 33897, 10927, 9441, 3643, 289, 5227, 636, 6992, 4141, 2261, 4120, 309, 36798, 10649, 16130, 17, 960, 18, 11333, 7036, 16, 6034, 289, 25956, 942, 5298, 309, 7759, 10279, 434, 5594, 542, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 563, 23345, 9165, 783, 334, 13795, 954, 36799, 16, 4073, 7069, 29676, 5364, 309, 2969, 675, 269, 1212, 14852, 547, 39973, 16, 20751, 16619, 306, 30625, 18, 4320, 14123, 315, 3665, 290, 11337, 1949, 42389, 16, 1949, 7211, 1275, 289, 15836, 431, 16, 35854, 9994, 14968, 18, 21575, 17, 2168, 8021, 10676, 289, 10440, 7896, 331, 925, 40313, 1634, 20072, 33609, 16, 16722, 48127, 356, 18519, 1455, 13381, 26236, 478, 273, 44206, 2570, 6086, 861, 31224, 30, 18163, 675, 269, 1703, 19336, 282, 4542, 44121, 553, 309, 14852, 547, 39973, 29076, 2241, 951, 52, 478, 4580, 17, 618, 503, 562, 470, 3225, 18350, 411, 43802, 29676, 1356, 2364, 13671, 1135, 16, 5923, 42130, 52, 18, 4756, 8846, 16, 374, 36799, 282, 1421, 4570, 3440, 510, 4498, 7387, 290, 1949, 1581, 10284, 4073, 7069, 2969, 675, 46595, 2954, 289, 30625, 18, 42233, 269, 1162, 10169, 2742, 19957, 32163, 10552, 18, 35353, 2301, 36799, 41294, 16, 2686, 2301, 411, 1129, 282, 4542, 44121, 553, 9227, 322, 3225, 18, 14541, 432, 4760, 290, 12343, 1055, 1003, 18, 824, 3761, 11883, 718, 22065, 3783, 17, 46, 5266, 73, 15157, 16, 282, 4542, 6053, 26205, 9100, 322, 2619, 6603, 36799, 289, 1760, 29676, 1356, 18, 11101, 282, 2969, 675, 269, 1212, 26023, 27246, 3828, 21408, 290, 2555, 12343, 7997, 7478, 16, 2496, 1639, 912, 4244, 873, 18, 5452, 6482, 742, 12698, 16, 374, 9100, 8396, 1272, 31473, 289, 1272, 35013, 43021, 16, 367, 1038, 17642, 5670, 18, 824, 3761, 15479, 16, 26205, 395, 3225, 13015, 2287, 18981, 16, 282, 970, 2875, 15465, 41282, 281, 478, 13945, 17, 6207, 578, 323, 470, 17567, 3881, 14395, 9953, 688, 1414, 807, 18, 21408, 1038, 7332, 1694, 28987, 718, 31055, 16, 1029, 685, 2496, 4073, 7069, 282, 5192, 46608, 16, 290, 970, 16, 374, 2969, 675, 269, 1133, 9637, 282, 4542, 44121, 553, 24915, 1166, 2846, 20997, 513, 281, 7997, 3317, 18, 9046, 746, 2969, 675, 46595, 6684, 282, 4542, 45422, 48385, 3895, 520, 322, 2180, 721, 301, 1147, 334, 5330, 1433, 477, 1963, 16711, 5792, 289, 13764, 11758, 12213, 16, 2062, 4687, 290, 851, 962, 44121, 553, 289, 1202, 21200, 722, 16, 428, 43277, 9063, 29454, 1096, 16, 1126, 845, 18, 1598, 17, 431, 12142, 281, 4073, 496, 36799, 3655, 7638, 17, 13522, 10440, 44906, 10320, 5714, 599, 47727, 2301, 1360, 13565, 334, 15530, 17, 46974, 11736, 16, 1586, 2756, 505, 4056, 9919, 416, 4856, 761, 1011, 23925, 282, 8892, 18, 27695, 5439, 2815, 282, 10882, 16, 374, 7638, 895, 6273, 282, 46832, 3255, 12783, 18, 31325, 14995, 14050, 18034, 10440, 42983, 973, 24832, 7188, 486, 8566, 3193, 2969, 675, 46595, 6684, 7003, 758, 48839, 18, 817, 9299, 16, 374, 282, 29329, 322, 898, 35270, 6025, 290, 9347, 6053, 7735, 18, 21575, 17, 13522, 10676, 16722, 48127, 356, 1188, 8645, 4019, 1038, 2815, 1248, 1728, 14840, 16, 374, 492, 2963, 373, 16, 753, 42233, 269, 37602, 13049, 281, 29076, 16870, 519, 2742, 6053, 18, 640, 14777, 23070, 9155, 48127, 356, 9813, 364, 6730, 282, 42233, 298, 281, 4830, 353, 2145, 289, 5670, 17917, 635, 1367, 395, 323, 289, 22917, 14458, 1822, 3663, 18, 365, 1177, 575, 1119, 6677, 11896, 291, 2044, 7597, 7650, 3003, 381, 2657, 582, 282, 13216, 413, 8751, 281, 42233, 620, 281, 29776, 29102, 9322, 38459, 1321, 18, 824, 8872, 28145, 282, 40315, 639, 7239, 3003, 381, 2657, 582, 282, 308, 11831, 2127, 18168, 504, 395, 32606, 309, 3017, 1760, 4776, 2364, 1156, 6684, 7910, 2632, 289, 9322, 15923, 16, 1029, 840, 30165 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 17099, 16, 367, 282, 3541, 432, 23130, 16, 515, 18823, 1175, 1655, 32655, 6070, 21739, 347, 1624, 17279, 1779, 1423, 39453, 9318, 18, 824, 23386, 23651, 11304, 4562, 7193, 49266, 22244, 4287, 289, 2685, 2373, 977, 1472, 16865, 14251, 18, 459, 1336, 510, 7242, 413, 18, 3782, 2064, 282, 13459, 554, 16, 3655, 9680, 16, 3531, 18052, 289, 13534, 510, 334, 5833, 3538, 16, 10421, 3050, 27652, 17516, 343, 329, 9441, 3643, 2820, 14864, 16, 289, 13320, 37396, 42021, 35525, 38966, 18, 403, 2222, 575, 537, 282, 17607, 1750, 2955, 2023, 16, 374, 11471, 343, 16706, 282, 25603, 617, 9680, 718, 12183, 18, 32164, 321, 4033, 3045, 510, 15420, 49909, 38331, 16, 1029, 16, 428, 289, 5227, 636, 6992, 4141, 16, 7860, 300, 16586, 718, 4027, 289, 2394, 665, 378, 21541, 283, 26990, 510, 687, 282, 1292, 1212, 5594, 750, 30, 417, 293, 1985, 1614, 280, 24955, 344, 15690, 306, 30956, 12620, 36082, 17, 28028, 16, 367, 8814, 1577, 768, 1083, 3076, 34733, 27852, 4445, 7610, 6637, 18, 478, 17810, 3045, 510, 14709, 1815, 1135, 16, 492, 10793, 9680, 1314, 18, 608, 1047, 6450, 8394, 10779, 2257, 1749, 16, 961, 21384, 20555, 808, 309, 1269, 986, 16, 289, 16, 827, 24883, 840, 44521, 16, 678, 1320, 840, 26545, 1122, 910, 510, 11623, 9321, 37777, 9680, 3875, 334, 10279, 1147, 5594, 1433, 12836, 37448, 401, 18, 45598, 16, 374, 3253, 31980, 14027, 5779, 1694, 1728, 9798, 17799, 5227, 636, 6992, 4141, 290, 970, 16, 374, 678, 1745, 322, 3207, 36300, 281, 5157, 979, 360, 35992, 341, 1161, 18, 5333, 2175, 16, 11471, 343, 322, 26136, 16154, 290, 3177, 26822, 294, 4033, 3045, 272, 428, 290, 5474, 1484, 411, 18232, 343, 18, 478, 45066, 1749, 5641, 13173, 16, 374, 417, 322, 4608, 8701, 30293, 428, 11300, 32670, 18, 11489, 9645, 1011, 13006, 354, 322, 898, 2282, 15844, 4519, 536, 9416, 15273, 282, 1634, 10719, 670, 282, 3198, 18, 981, 16, 417, 7387, 349, 3453, 7773, 5142, 7784, 16, 515, 541, 703, 3240, 4836, 282, 10279, 547, 5594, 750, 510, 481, 9038, 9720, 360, 924, 16, 374, 417, 14257, 18, 1012, 16716, 477, 20447, 16, 417, 322, 31660, 5522, 48839, 16, 3387, 417, 5382, 16, 374, 7199, 4519, 451, 16837, 924, 16, 374, 309, 1500, 2083, 417, 3207, 2048, 910, 510, 8765, 6818, 5120, 4178, 343, 18, 20346, 685, 18913, 7953, 451, 24724, 7934, 19702, 282, 10279, 547, 5594, 750, 8900, 17, 28028, 19, 1618, 18, 1178, 9713, 322, 14864, 16, 502, 10933, 28929, 3319, 3955, 33897, 10927, 9441, 3643, 289, 5227, 636, 6992, 4141, 2261, 4120, 309, 36798, 10649, 16130, 17, 960, 18, 11333, 7036, 16, 6034, 289, 25956, 942, 5298, 309, 7759, 10279, 434, 5594, 542, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 563, 23345, 9165, 783, 334, 13795, 954, 36799, 16, 4073, 7069, 29676, 5364, 309, 2969, 675, 269, 1212, 14852, 547, 39973, 16, 20751, 16619, 306, 30625, 18, 4320, 14123, 315, 3665, 290, 11337, 1949, 42389, 16, 1949, 7211, 1275, 289, 15836, 431, 16, 35854, 9994, 14968, 18, 21575, 17, 2168, 8021, 10676, 289, 10440, 7896, 331, 925, 40313, 1634, 20072, 33609, 16, 16722, 48127, 356, 18519, 1455, 13381, 26236, 478, 273, 44206, 2570, 6086, 861, 31224, 30, 18163, 675, 269, 1703, 19336, 282, 4542, 44121, 553, 309, 14852, 547, 39973, 29076, 2241, 951, 52, 478, 4580, 17, 618, 503, 562, 470, 3225, 18350, 411, 43802, 29676, 1356, 2364, 13671, 1135, 16, 5923, 42130, 52, 18, 4756, 8846, 16, 374, 36799, 282, 1421, 4570, 3440, 510, 4498, 7387, 290, 1949, 1581, 10284, 4073, 7069, 2969, 675, 46595, 2954, 289, 30625, 18, 42233, 269, 1162, 10169, 2742, 19957, 32163, 10552, 18, 35353, 2301, 36799, 41294, 16, 2686, 2301, 411, 1129, 282, 4542, 44121, 553, 9227, 322, 3225, 18, 14541, 432, 4760, 290, 12343, 1055, 1003, 18, 824, 3761, 11883, 718, 22065, 3783, 17, 46, 5266, 73, 15157, 16, 282, 4542, 6053, 26205, 9100, 322, 2619, 6603, 36799, 289, 1760, 29676, 1356, 18, 11101, 282, 2969, 675, 269, 1212, 26023, 27246, 3828, 21408, 290, 2555, 12343, 7997, 7478, 16, 2496, 1639, 912, 4244, 873, 18, 5452, 6482, 742, 12698, 16, 374, 9100, 8396, 1272, 31473, 289, 1272, 35013, 43021, 16, 367, 1038, 17642, 5670, 18, 824, 3761, 15479, 16, 26205, 395, 3225, 13015, 2287, 18981, 16, 282, 970, 2875, 15465, 41282, 281, 478, 13945, 17, 6207, 578, 323, 470, 17567, 3881, 14395, 9953, 688, 1414, 807, 18, 21408, 1038, 7332, 1694, 28987, 718, 31055, 16, 1029, 685, 2496, 4073, 7069, 282, 5192, 46608, 16, 290, 970, 16, 374, 2969, 675, 269, 1133, 9637, 282, 4542, 44121, 553, 24915, 1166, 2846, 20997, 513, 281, 7997, 3317, 18, 9046, 746, 2969, 675, 46595, 6684, 282, 4542, 45422, 48385, 3895, 520, 322, 2180, 721, 301, 1147, 334, 5330, 1433, 477, 1963, 16711, 5792, 289, 13764, 11758, 12213, 16, 2062, 4687, 290, 851, 962, 44121, 553, 289, 1202, 21200, 722, 16, 428, 43277, 9063, 29454, 1096, 16, 1126, 845, 18, 1598, 17, 431, 12142, 281, 4073, 496, 36799, 3655, 7638, 17, 13522, 10440, 44906, 10320, 5714, 599, 47727, 2301, 1360, 13565, 334, 15530, 17, 46974, 11736, 16, 1586, 2756, 505, 4056, 9919, 416, 4856, 761, 1011, 23925, 282, 8892, 18, 27695, 5439, 2815, 282, 10882, 16, 374, 7638, 895, 6273, 282, 46832, 3255, 12783, 18, 31325, 14995, 14050, 18034, 10440, 42983, 973, 24832, 7188, 486, 8566, 3193, 2969, 675, 46595, 6684, 7003, 758, 48839, 18, 817, 9299, 16, 374, 282, 29329, 322, 898, 35270, 6025, 290, 9347, 6053, 7735, 18, 21575, 17, 13522, 10676, 16722, 48127, 356, 1188, 8645, 4019, 1038, 2815, 1248, 1728, 14840, 16, 374, 492, 2963, 373, 16, 753, 42233, 269, 37602, 13049, 281, 29076, 16870, 519, 2742, 6053, 18, 640, 14777, 23070, 9155, 48127, 356, 9813, 364, 6730, 282, 42233, 298, 281, 4830, 353, 2145, 289, 5670, 17917, 635, 1367, 395, 323, 289, 22917, 14458, 1822, 3663, 18, 365, 1177, 575, 1119, 6677, 11896, 291, 2044, 7597, 7650, 3003, 381, 2657, 582, 282, 13216, 413, 8751, 281, 42233, 620, 281, 29776, 29102, 9322, 38459, 1321, 18, 824, 8872, 28145, 282, 40315, 639, 7239, 3003, 381, 2657, 582, 282, 308, 11831, 2127, 18168, 504, 395, 32606, 309, 3017, 1760, 4776, 2364, 1156, 6684, 7910, 2632, 289, 9322, 15923, 16, 1029, 840, 30165 ]
[ 697, 13290, 18, 21779, 20885, 20144, 17750, 14481, 2364, 6957, 1135, 18, 43733, 40872, 574, 9085, 282, 9804, 20838, 831, 16, 8851, 7638, 17, 13522, 9893, 29173, 315, 7886, 265, 2815, 282, 7337, 35115, 14415, 3330, 561, 132, 259, 16, 374, 22723, 31308, 5670, 282, 29102, 1623, 12181, 9945, 322, 4751, 29676, 7309, 22954, 8362, 282, 27255, 18981, 18, 21575, 17, 13522, 10676, 39978, 12731, 6965, 309, 10882, 10980, 282, 21700, 700, 16, 988, 492, 1943, 685, 23683, 281, 6272, 416, 38768, 334, 40126, 281, 24393, 304, 18, 817, 18519, 1455, 13381, 953, 1534, 4697, 294, 478, 26550, 44206, 2570, 6086, 16, 939, 30343, 2570, 6086, 282, 1335, 11762, 21223, 4096, 861, 2261, 3612, 27692, 29676, 1262, 26010, 309, 12035, 10727, 22480, 674, 716, 1456, 309, 2303, 12077, 17760, 8256, 478, 4580, 17, 618, 503, 562, 470, 309, 9265, 17, 17569, 42233, 287, 16, 2406, 281, 19077, 281, 2151, 420, 355, 18, 42521, 274, 32889, 25292, 6114, 411, 36480, 29102, 16, 33991, 23387, 282, 7997, 1157, 16, 428, 1655, 8846, 16, 282, 7343, 11035, 9469, 8243, 7987, 289, 15173, 31358, 18473, 18, 459, 3497, 353, 1262, 281, 2887, 2742, 48318, 16, 374, 322, 4070, 1578, 12655, 16, 515, 36654, 478, 47355, 289, 5587, 432, 861, 1367, 803, 21408, 3828, 1176, 411, 2969, 675, 269, 1275, 16, 5076, 3225, 10790, 411, 43802, 18, 31186, 282, 7544, 309, 15173, 7997, 837, 473, 1369, 4310, 3761, 510, 7640, 934, 2496, 1639, 898, 1409, 19874, 16, 2511, 26923, 1275, 16, 7211, 873, 16, 32789, 16, 40109, 289, 28987, 873, 16, 33991, 34924, 18557, 411, 2969, 675, 46595, 17288, 3417, 17664, 1356, 18, 11561, 1310, 300, 15275, 3436, 25865, 16, 374, 505, 48414, 18249, 3225, 20607, 281, 3502, 5858, 1093, 9173, 7997, 2409, 18, 824, 505, 3163, 16, 309, 36799, 1195, 538, 20025, 281, 34638, 416, 7569, 1973, 761, 16, 8794, 16, 282, 2114, 697, 23042, 16, 5545, 1569, 20198, 289, 29904, 3623, 42233, 287, 18, 365, 1078, 8099, 9246, 1552, 42233, 287, 981, 3910, 22361, 280, 1241, 1908, 274, 2815, 16, 374, 2891, 38199, 360, 10949, 11738, 281, 46608, 18, 817, 11661, 16, 374, 8794, 16, 282, 2114, 6535, 7997, 1157, 289, 33991, 16, 5545, 1569, 9640, 3623, 289, 4257, 18, 824, 3163, 1241, 1908, 274, 16, 282, 13073, 4846, 9404, 16, 1803, 9604, 2848, 6814, 951, 52, 16, 11926, 2364, 1939, 1135, 510, 745, 322, 9811, 411, 33657, 670, 29102, 16, 428, 4419, 8846, 16, 367, 3929, 30571, 42233, 287, 18, 4541, 16705, 1947, 34924, 18350, 541, 1129, 3427, 13826, 917, 281, 42616, 1734, 2969, 675, 269, 3334, 16515, 10528, 18, 478, 4348, 3408, 339, 16, 753, 2969, 675, 269, 1162, 10169, 30759, 1177, 4972, 16, 753, 942, 639, 6622, 9744, 16, 510, 1109, 282, 7337, 9577, 1918, 478, 13945, 17, 10594, 604, 1592, 470, 1176, 411, 18981, 16, 26850, 5229, 428, 28223, 3766, 17, 983, 2025, 264, 18, 510, 1345, 6354, 7544, 990, 3338, 36799, 309, 697, 36799, 473, 711, 6500, 933, 17664, 1356, 411, 17288, 29102, 18, 510, 29765, 18, 8381, 9979, 861, 7676, 331, 4178, 1038, 11661, 16, 374, 282, 7997, 7478, 3164, 15173, 3965, 899, 6147, 16, 282, 970, 2875, 411, 26303, 16, 5670, 16, 2145, 16, 10676, 16, 31982, 16, 22707, 17621, 16, 27500, 347, 16, 8937, 12285, 16, 30432, 16, 10440, 16, 13340, 30576, 289, 5306, 18, 2, 1, 87, 1456, 81, 2448, 30, 6889, 7470, 301, 27273, 680, 4966, 309, 12013, 2422, 14736, 281, 2230, 635, 9783, 24618, 4309, 30, 34349, 13829, 428, 1135, 16, 1029, 18131, 31317, 16, 367, 567, 808, 4466, 281, 31469, 492, 2079, 310, 428, 445, 349, 17392, 306, 18, 31224, 30, 983, 598, 696, 873, 6371, 8300, 9353, 837, 6506, 434, 18042, 669, 1360, 7342, 309, 12013, 2422, 334, 15749, 18, 4149, 4167, 13640, 9783, 297, 6157, 510, 33256, 34349, 16, 11744, 285, 3463, 43907, 657, 2109, 14138, 18, 817, 1576, 811, 309, 10133, 23708, 455, 27273, 680, 4966, 477, 7342, 5306, 16, 5185, 5199, 411, 46066, 17, 1163, 265, 31819, 860, 2426, 32047, 83, 289, 16, 334, 4734, 25467, 16, 3348, 2200, 47701, 2510, 5077, 697, 23827, 12525, 18, 7106, 16, 374, 1800, 17392, 274, 46621, 18522, 10434, 281, 16536, 536, 12932, 1409, 30, 21, 16, 367, 10317, 541, 37976, 5953, 17, 17827, 10700, 17, 10499, 7935, 329, 27273, 1275, 28430, 2702, 741, 1133, 18, 1895, 3252, 1066, 1631, 281, 18606, 367, 42888, 9783, 297, 6157, 3619, 764, 567, 808, 7561, 2422, 4479, 779, 16, 1029, 14366, 282, 43356, 18, 26907, 1310, 266, 510, 334, 4153, 28057, 1016, 34878, 38656, 14497, 4961, 510, 282, 970, 1045, 2079, 310, 349, 3191, 448, 12945, 9460, 16, 367, 1038, 22643, 289, 2145, 18, 1303, 870, 4966, 40900, 18, 459, 827, 32710, 289, 2145, 40900, 4859, 16, 502, 309, 22993, 568, 3663, 296, 426, 16, 1872, 6838, 700, 289, 1888, 18825, 1816, 25011, 291, 48056, 16, 374, 9783, 297, 6157, 16439, 12544, 454, 281, 14560, 761, 27273, 680, 7342, 18, 996, 374, 1011, 14248, 22643, 360, 21112, 1275, 47712, 2458, 12498, 478, 4828, 601, 1566, 83, 910, 374, 282, 16352, 547, 18554, 6411, 1631, 16, 1029, 18131, 42251, 282, 9547, 18, 365, 803, 1045, 9783, 297, 6157, 687, 289, 8164, 16, 374, 11391, 8297, 979, 1360, 38423, 16, 3110, 28122, 21024, 18, 7743, 282, 970, 16, 374, 43907, 657, 2109, 14138, 281, 3750, 5424, 3231, 334, 8290, 281, 1613, 620, 478, 3940, 7841, 32108, 18130, 5747, 492, 685, 9072, 1736, 411, 17, 431, 47545, 19854, 9783, 297, 21358, 510, 586, 11, 730, 286, 38758, 18, 459, 1215, 567, 808, 978, 3676, 404, 473, 551, 968, 16, 20144, 505, 2095, 13, 492, 3118, 5828, 2077, 17586, 975, 27273, 2855, 31425, 18, 9783, 297, 6157, 309, 46304, 282, 23522, 1188, 5953, 17, 28923, 1941, 7288, 31103, 17453, 300, 8955, 35115, 7342, 1195, 329, 570, 2880, 2855, 510, 7813, 873, 40900, 477, 12932, 430, 30, 20, 289, 10212, 538, 411, 14452, 18, 3575, 492, 664, 7999, 271, 8955, 26271, 2986, 282, 9547, 281, 48909, 2484, 16, 4279, 275, 282, 3177, 43287, 478, 677, 18521, 16, 32710, 5, 999, 25771, 4271, 510, 31414, 1320, 14416, 3977, 18, 824, 4931, 4984, 28638, 4287, 8955, 309, 12013, 510, 10212, 538, 289, 28638, 873, 18, 824, 39394, 16, 9783, 297, 6157, 24525, 25637, 1528, 19712, 28376, 1624, 515, 10480, 16, 639, 481, 519, 670, 1011, 18042, 669, 13198, 4966 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 697, 13290, 18, 21779, 20885, 20144, 17750, 14481, 2364, 6957, 1135, 18, 43733, 40872, 574, 9085, 282, 9804, 20838, 831, 16, 8851, 7638, 17, 13522, 9893, 29173, 315, 7886, 265, 2815, 282, 7337, 35115, 14415, 3330, 561, 132, 259, 16, 374, 22723, 31308, 5670, 282, 29102, 1623, 12181, 9945, 322, 4751, 29676, 7309, 22954, 8362, 282, 27255, 18981, 18, 21575, 17, 13522, 10676, 39978, 12731, 6965, 309, 10882, 10980, 282, 21700, 700, 16, 988, 492, 1943, 685, 23683, 281, 6272, 416, 38768, 334, 40126, 281, 24393, 304, 18, 817, 18519, 1455, 13381, 953, 1534, 4697, 294, 478, 26550, 44206, 2570, 6086, 16, 939, 30343, 2570, 6086, 282, 1335, 11762, 21223, 4096, 861, 2261, 3612, 27692, 29676, 1262, 26010, 309, 12035, 10727, 22480, 674, 716, 1456, 309, 2303, 12077, 17760, 8256, 478, 4580, 17, 618, 503, 562, 470, 309, 9265, 17, 17569, 42233, 287, 16, 2406, 281, 19077, 281, 2151, 420, 355, 18, 42521, 274, 32889, 25292, 6114, 411, 36480, 29102, 16, 33991, 23387, 282, 7997, 1157, 16, 428, 1655, 8846, 16, 282, 7343, 11035, 9469, 8243, 7987, 289, 15173, 31358, 18473, 18, 459, 3497, 353, 1262, 281, 2887, 2742, 48318, 16, 374, 322, 4070, 1578, 12655, 16, 515, 36654, 478, 47355, 289, 5587, 432, 861, 1367, 803, 21408, 3828, 1176, 411, 2969, 675, 269, 1275, 16, 5076, 3225, 10790, 411, 43802, 18, 31186, 282, 7544, 309, 15173, 7997, 837, 473, 1369, 4310, 3761, 510, 7640, 934, 2496, 1639, 898, 1409, 19874, 16, 2511, 26923, 1275, 16, 7211, 873, 16, 32789, 16, 40109, 289, 28987, 873, 16, 33991, 34924, 18557, 411, 2969, 675, 46595, 17288, 3417, 17664, 1356, 18, 11561, 1310, 300, 15275, 3436, 25865, 16, 374, 505, 48414, 18249, 3225, 20607, 281, 3502, 5858, 1093, 9173, 7997, 2409, 18, 824, 505, 3163, 16, 309, 36799, 1195, 538, 20025, 281, 34638, 416, 7569, 1973, 761, 16, 8794, 16, 282, 2114, 697, 23042, 16, 5545, 1569, 20198, 289, 29904, 3623, 42233, 287, 18, 365, 1078, 8099, 9246, 1552, 42233, 287, 981, 3910, 22361, 280, 1241, 1908, 274, 2815, 16, 374, 2891, 38199, 360, 10949, 11738, 281, 46608, 18, 817, 11661, 16, 374, 8794, 16, 282, 2114, 6535, 7997, 1157, 289, 33991, 16, 5545, 1569, 9640, 3623, 289, 4257, 18, 824, 3163, 1241, 1908, 274, 16, 282, 13073, 4846, 9404, 16, 1803, 9604, 2848, 6814, 951, 52, 16, 11926, 2364, 1939, 1135, 510, 745, 322, 9811, 411, 33657, 670, 29102, 16, 428, 4419, 8846, 16, 367, 3929, 30571, 42233, 287, 18, 4541, 16705, 1947, 34924, 18350, 541, 1129, 3427, 13826, 917, 281, 42616, 1734, 2969, 675, 269, 3334, 16515, 10528, 18, 478, 4348, 3408, 339, 16, 753, 2969, 675, 269, 1162, 10169, 30759, 1177, 4972, 16, 753, 942, 639, 6622, 9744, 16, 510, 1109, 282, 7337, 9577, 1918, 478, 13945, 17, 10594, 604, 1592, 470, 1176, 411, 18981, 16, 26850, 5229, 428, 28223, 3766, 17, 983, 2025, 264, 18, 510, 1345, 6354, 7544, 990, 3338, 36799, 309, 697, 36799, 473, 711, 6500, 933, 17664, 1356, 411, 17288, 29102, 18, 510, 29765, 18, 8381, 9979, 861, 7676, 331, 4178, 1038, 11661, 16, 374, 282, 7997, 7478, 3164, 15173, 3965, 899, 6147, 16, 282, 970, 2875, 411, 26303, 16, 5670, 16, 2145, 16, 10676, 16, 31982, 16, 22707, 17621, 16, 27500, 347, 16, 8937, 12285, 16, 30432, 16, 10440, 16, 13340, 30576, 289, 5306, 18, 2, 1, 87, 1456, 81, 2448, 30, 6889, 7470, 301, 27273, 680, 4966, 309, 12013, 2422, 14736, 281, 2230, 635, 9783, 24618, 4309, 30, 34349, 13829, 428, 1135, 16, 1029, 18131, 31317, 16, 367, 567, 808, 4466, 281, 31469, 492, 2079, 310, 428, 445, 349, 17392, 306, 18, 31224, 30, 983, 598, 696, 873, 6371, 8300, 9353, 837, 6506, 434, 18042, 669, 1360, 7342, 309, 12013, 2422, 334, 15749, 18, 4149, 4167, 13640, 9783, 297, 6157, 510, 33256, 34349, 16, 11744, 285, 3463, 43907, 657, 2109, 14138, 18, 817, 1576, 811, 309, 10133, 23708, 455, 27273, 680, 4966, 477, 7342, 5306, 16, 5185, 5199, 411, 46066, 17, 1163, 265, 31819, 860, 2426, 32047, 83, 289, 16, 334, 4734, 25467, 16, 3348, 2200, 47701, 2510, 5077, 697, 23827, 12525, 18, 7106, 16, 374, 1800, 17392, 274, 46621, 18522, 10434, 281, 16536, 536, 12932, 1409, 30, 21, 16, 367, 10317, 541, 37976, 5953, 17, 17827, 10700, 17, 10499, 7935, 329, 27273, 1275, 28430, 2702, 741, 1133, 18, 1895, 3252, 1066, 1631, 281, 18606, 367, 42888, 9783, 297, 6157, 3619, 764, 567, 808, 7561, 2422, 4479, 779, 16, 1029, 14366, 282, 43356, 18, 26907, 1310, 266, 510, 334, 4153, 28057, 1016, 34878, 38656, 14497, 4961, 510, 282, 970, 1045, 2079, 310, 349, 3191, 448, 12945, 9460, 16, 367, 1038, 22643, 289, 2145, 18, 1303, 870, 4966, 40900, 18, 459, 827, 32710, 289, 2145, 40900, 4859, 16, 502, 309, 22993, 568, 3663, 296, 426, 16, 1872, 6838, 700, 289, 1888, 18825, 1816, 25011, 291, 48056, 16, 374, 9783, 297, 6157, 16439, 12544, 454, 281, 14560, 761, 27273, 680, 7342, 18, 996, 374, 1011, 14248, 22643, 360, 21112, 1275, 47712, 2458, 12498, 478, 4828, 601, 1566, 83, 910, 374, 282, 16352, 547, 18554, 6411, 1631, 16, 1029, 18131, 42251, 282, 9547, 18, 365, 803, 1045, 9783, 297, 6157, 687, 289, 8164, 16, 374, 11391, 8297, 979, 1360, 38423, 16, 3110, 28122, 21024, 18, 7743, 282, 970, 16, 374, 43907, 657, 2109, 14138, 281, 3750, 5424, 3231, 334, 8290, 281, 1613, 620, 478, 3940, 7841, 32108, 18130, 5747, 492, 685, 9072, 1736, 411, 17, 431, 47545, 19854, 9783, 297, 21358, 510, 586, 11, 730, 286, 38758, 18, 459, 1215, 567, 808, 978, 3676, 404, 473, 551, 968, 16, 20144, 505, 2095, 13, 492, 3118, 5828, 2077, 17586, 975, 27273, 2855, 31425, 18, 9783, 297, 6157, 309, 46304, 282, 23522, 1188, 5953, 17, 28923, 1941, 7288, 31103, 17453, 300, 8955, 35115, 7342, 1195, 329, 570, 2880, 2855, 510, 7813, 873, 40900, 477, 12932, 430, 30, 20, 289, 10212, 538, 411, 14452, 18, 3575, 492, 664, 7999, 271, 8955, 26271, 2986, 282, 9547, 281, 48909, 2484, 16, 4279, 275, 282, 3177, 43287, 478, 677, 18521, 16, 32710, 5, 999, 25771, 4271, 510, 31414, 1320, 14416, 3977, 18, 824, 4931, 4984, 28638, 4287, 8955, 309, 12013, 510, 10212, 538, 289, 28638, 873, 18, 824, 39394, 16, 9783, 297, 6157, 24525, 25637, 1528, 19712, 28376, 1624, 515, 10480, 16, 639, 481, 519, 670, 1011, 18042, 669, 13198, 4966 ]
[ 282, 430, 19, 28, 21451, 18, 640, 44587, 5199, 1251, 3191, 758, 22643, 289, 5306, 309, 26225, 4377, 272, 17, 630, 3394, 356, 464, 9783, 297, 6157, 12985, 322, 282, 12319, 36814, 50146, 17, 16744, 323, 12544, 582, 16, 367, 282, 4275, 339, 18089, 21607, 289, 13552, 41907, 582, 281, 18858, 23705, 478, 45612, 1921, 861, 5181, 16, 30817, 16, 5104, 9783, 297, 21358, 289, 27273, 680, 5936, 2220, 4847, 318, 528, 982, 32058, 16, 1029, 685, 309, 8267, 281, 11605, 16, 428, 445, 558, 9731, 282, 5244, 7342, 22643, 16, 289, 5826, 745, 16, 13649, 16, 2079, 538, 349, 2089, 8362, 18, 365, 6031, 329, 965, 1642, 27273, 1162, 20925, 2498, 14851, 2361, 411, 3322, 29419, 2466, 46512, 282, 1360, 3182, 30, 309, 3103, 15788, 1593, 678, 9253, 8055, 1472, 3348, 18, 9176, 388, 6951, 16, 3754, 16, 10073, 9227, 5510, 18, 7699, 17783, 264, 1262, 15384, 19908, 266, 281, 29320, 496, 34439, 9783, 297, 21358, 309, 8267, 37131, 455, 17392, 274, 651, 22707, 29177, 473, 37323, 1310, 266, 685, 282, 12544, 582, 1128, 748, 16103, 1275, 934, 289, 27273, 1162, 20925, 30346, 18, 365, 1177, 445, 745, 5658, 3836, 5166, 3878, 5472, 289, 1279, 14741, 30, 309, 26225, 4377, 272, 17, 630, 3394, 356, 464, 6181, 29601, 451, 9783, 297, 6157, 282, 12319, 36814, 12544, 582, 18522, 7342, 18, 740, 16, 6709, 16, 282, 675, 11490, 34349, 17625, 1033, 17821, 7957, 309, 7005, 43773, 16287, 18, 2, 1, 87, 1456, 81, 2448, 30, 44499, 1502, 16640, 45293, 7316, 26119, 282, 1568, 290, 36798, 32094, 16, 9600, 4092, 40139, 11506, 19264, 9870, 309, 25414, 1212, 13116, 2557, 16, 988, 38060, 5848, 32957, 516, 26314, 478, 3693, 49977, 11031, 470, 3436, 3972, 18, 10110, 1133, 26119, 2700, 7267, 1568, 478, 630, 24268, 5868, 289, 1573, 2370, 292, 910, 36774, 2904, 38561, 18, 31224, 30, 672, 20999, 7076, 14337, 13116, 328, 282, 5214, 4534, 44189, 282, 2452, 14110, 17, 431, 39611, 837, 478, 24775, 778, 30352, 910, 3219, 2253, 11506, 309, 1420, 19264, 9870, 840, 5112, 4770, 18, 15066, 22517, 2766, 6370, 16640, 14900, 1032, 3612, 4018, 779, 16, 567, 12241, 8501, 685, 18913, 309, 505, 17292, 3614, 18, 16640, 567, 2992, 445, 349, 808, 1728, 4770, 624, 27446, 2766, 4830, 18505, 45168, 478, 630, 41257, 334, 7180, 954, 24607, 35006, 17, 21639, 434, 14110, 17, 431, 39611, 837, 910, 411, 19228, 282, 11078, 1045, 18, 5857, 489, 382, 16, 7316, 1453, 32242, 18813, 4000, 16, 6925, 10531, 3219, 301, 4523, 6579, 5743, 10949, 19264, 9870, 309, 8417, 7076, 14337, 13116, 328, 18, 365, 352, 526, 3786, 680, 7475, 4478, 16, 367, 1038, 282, 7475, 4478, 360, 5021, 779, 349, 12984, 639, 11757, 3890, 2990, 11291, 3586, 5743, 20526, 34018, 16, 30773, 17, 12920, 408, 16, 4046, 8898, 1999, 3314, 16, 30741, 289, 1888, 19264, 9870, 470, 309, 2923, 21569, 16, 282, 6359, 292, 289, 8717, 4912, 309, 505, 2923, 16, 367, 1038, 309, 13845, 6394, 289, 282, 13956, 1212, 14126, 18, 7076, 14337, 13116, 328, 1122, 322, 28703, 709, 18, 16424, 12529, 4478, 322, 687, 10787, 8417, 282, 6656, 1801, 281, 23627, 27887, 5743, 9870, 16, 515, 11534, 30149, 2358, 4126, 697, 3320, 18, 6592, 28607, 4478, 16, 4770, 11660, 3003, 16, 16150, 10941, 360, 3953, 11581, 18536, 18675, 1378, 12588, 16, 961, 15771, 1007, 282, 8031, 582, 30, 481, 7064, 2407, 1624, 4199, 22941, 1624, 2450, 4872, 1624, 37080, 41062, 9597, 16, 25835, 4534, 289, 20664, 4830, 18, 640, 35215, 9815, 2483, 758, 17623, 16, 1582, 9164, 24812, 289, 10080, 353, 45293, 322, 23803, 16, 3018, 25760, 1519, 18694, 329, 2887, 4830, 1320, 1003, 18, 8894, 1070, 2993, 953, 4674, 315, 322, 10188, 16, 828, 349, 1421, 5196, 519, 5743, 7461, 16, 367, 519, 924, 505, 8166, 2574, 1086, 281, 20286, 29904, 10107, 289, 18459, 15356, 4830, 16, 3014, 411, 13124, 4478, 18, 1268, 19063, 2574, 4766, 4770, 46708, 687, 478, 350, 27961, 289, 3320, 910, 28366, 282, 32094, 16, 309, 13845, 6394, 16, 282, 13956, 1212, 14126, 289, 309, 2456, 25414, 1212, 13116, 2557, 478, 275, 11683, 37161, 18130, 322, 1513, 2574, 1700, 477, 6246, 9952, 353, 289, 541, 603, 14580, 7741, 523, 289, 10001, 329, 22609, 6208, 424, 9365, 8544, 680, 20789, 16, 329, 12020, 23790, 26478, 434, 4891, 49091, 289, 5943, 432, 20901, 8775, 17, 34740, 512, 282, 13956, 1212, 14126, 18, 2667, 8508, 1612, 7461, 289, 8296, 309, 25414, 1212, 13116, 2557, 2574, 642, 1909, 11043, 1183, 4534, 18, 985, 5429, 16, 4498, 7387, 290, 10366, 2662, 20072, 10700, 17, 41775, 473, 49646, 309, 25414, 1212, 13116, 2557, 4263, 12750, 282, 8311, 1045, 2227, 4048, 45231, 307, 25408, 367, 1038, 1069, 4678, 2510, 628, 8544, 933, 10514, 432, 19053, 510, 453, 16, 282, 11023, 5653, 779, 5922, 478, 42415, 470, 3113, 609, 576, 309, 25414, 1212, 13116, 2557, 8955, 4623, 478, 29971, 3771, 470, 309, 10296, 282, 39309, 18, 365, 3765, 1011, 37965, 10144, 282, 11500, 5049, 779, 309, 25414, 1212, 13116, 2557, 12665, 12750, 478, 677, 18521, 16, 3771, 24450, 282, 23376, 2024, 294, 14379, 15259, 309, 6394, 34339, 2566, 8694, 309, 10296, 6370, 16640, 289, 4137, 6732, 18, 824, 14857, 16, 47406, 9441, 13432, 16, 17802, 309, 11506, 2900, 33678, 5426, 1011, 10144, 4830, 1032, 3990, 4018, 779, 1513, 639, 2574, 1086, 519, 1032, 3972, 4440, 779, 651, 519, 41325, 10144, 289, 16, 8774, 16, 519, 5019, 30584, 16249, 282, 32712, 18, 478, 677, 34805, 3325, 16, 785, 282, 4722, 445, 309, 13845, 6394, 26727, 8296, 19762, 910, 510, 16405, 18290, 478, 32485, 18, 8381, 470, 282, 12958, 630, 18, 365, 11023, 30111, 1269, 28923, 2514, 46281, 478, 3693, 49977, 11031, 470, 45922, 7076, 14337, 13116, 328, 428, 2361, 411, 12839, 5537, 1801, 5743, 2992, 8296, 16, 515, 282, 3198, 24118, 12665, 309, 29176, 48427, 401, 18, 17479, 275, 1947, 17245, 360, 7076, 14740, 13116, 820, 2419, 16, 12430, 1079, 505, 11771, 1391, 285, 5966, 16, 4848, 478, 46088, 18, 8381, 470, 3203, 31959, 635, 3718, 46281, 4137, 6434, 313, 523, 18, 478, 26451, 7040, 16, 374, 28601, 48427, 401, 4703, 1143, 7076, 14740, 13116, 820, 16, 289, 502, 1122, 322, 4492, 14269, 475, 30632, 30, 478, 34803, 9063, 470, 309, 4301, 13134, 455, 27839, 2634, 6367, 16, 36886, 1248, 20241, 45285, 8903, 28350, 16, 764, 2634, 1760, 5290, 349, 13952, 3617, 368, 910, 510, 9848, 23024, 18, 7076, 14337, 13116 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 430, 19, 28, 21451, 18, 640, 44587, 5199, 1251, 3191, 758, 22643, 289, 5306, 309, 26225, 4377, 272, 17, 630, 3394, 356, 464, 9783, 297, 6157, 12985, 322, 282, 12319, 36814, 50146, 17, 16744, 323, 12544, 582, 16, 367, 282, 4275, 339, 18089, 21607, 289, 13552, 41907, 582, 281, 18858, 23705, 478, 45612, 1921, 861, 5181, 16, 30817, 16, 5104, 9783, 297, 21358, 289, 27273, 680, 5936, 2220, 4847, 318, 528, 982, 32058, 16, 1029, 685, 309, 8267, 281, 11605, 16, 428, 445, 558, 9731, 282, 5244, 7342, 22643, 16, 289, 5826, 745, 16, 13649, 16, 2079, 538, 349, 2089, 8362, 18, 365, 6031, 329, 965, 1642, 27273, 1162, 20925, 2498, 14851, 2361, 411, 3322, 29419, 2466, 46512, 282, 1360, 3182, 30, 309, 3103, 15788, 1593, 678, 9253, 8055, 1472, 3348, 18, 9176, 388, 6951, 16, 3754, 16, 10073, 9227, 5510, 18, 7699, 17783, 264, 1262, 15384, 19908, 266, 281, 29320, 496, 34439, 9783, 297, 21358, 309, 8267, 37131, 455, 17392, 274, 651, 22707, 29177, 473, 37323, 1310, 266, 685, 282, 12544, 582, 1128, 748, 16103, 1275, 934, 289, 27273, 1162, 20925, 30346, 18, 365, 1177, 445, 745, 5658, 3836, 5166, 3878, 5472, 289, 1279, 14741, 30, 309, 26225, 4377, 272, 17, 630, 3394, 356, 464, 6181, 29601, 451, 9783, 297, 6157, 282, 12319, 36814, 12544, 582, 18522, 7342, 18, 740, 16, 6709, 16, 282, 675, 11490, 34349, 17625, 1033, 17821, 7957, 309, 7005, 43773, 16287, 18, 2, 1, 87, 1456, 81, 2448, 30, 44499, 1502, 16640, 45293, 7316, 26119, 282, 1568, 290, 36798, 32094, 16, 9600, 4092, 40139, 11506, 19264, 9870, 309, 25414, 1212, 13116, 2557, 16, 988, 38060, 5848, 32957, 516, 26314, 478, 3693, 49977, 11031, 470, 3436, 3972, 18, 10110, 1133, 26119, 2700, 7267, 1568, 478, 630, 24268, 5868, 289, 1573, 2370, 292, 910, 36774, 2904, 38561, 18, 31224, 30, 672, 20999, 7076, 14337, 13116, 328, 282, 5214, 4534, 44189, 282, 2452, 14110, 17, 431, 39611, 837, 478, 24775, 778, 30352, 910, 3219, 2253, 11506, 309, 1420, 19264, 9870, 840, 5112, 4770, 18, 15066, 22517, 2766, 6370, 16640, 14900, 1032, 3612, 4018, 779, 16, 567, 12241, 8501, 685, 18913, 309, 505, 17292, 3614, 18, 16640, 567, 2992, 445, 349, 808, 1728, 4770, 624, 27446, 2766, 4830, 18505, 45168, 478, 630, 41257, 334, 7180, 954, 24607, 35006, 17, 21639, 434, 14110, 17, 431, 39611, 837, 910, 411, 19228, 282, 11078, 1045, 18, 5857, 489, 382, 16, 7316, 1453, 32242, 18813, 4000, 16, 6925, 10531, 3219, 301, 4523, 6579, 5743, 10949, 19264, 9870, 309, 8417, 7076, 14337, 13116, 328, 18, 365, 352, 526, 3786, 680, 7475, 4478, 16, 367, 1038, 282, 7475, 4478, 360, 5021, 779, 349, 12984, 639, 11757, 3890, 2990, 11291, 3586, 5743, 20526, 34018, 16, 30773, 17, 12920, 408, 16, 4046, 8898, 1999, 3314, 16, 30741, 289, 1888, 19264, 9870, 470, 309, 2923, 21569, 16, 282, 6359, 292, 289, 8717, 4912, 309, 505, 2923, 16, 367, 1038, 309, 13845, 6394, 289, 282, 13956, 1212, 14126, 18, 7076, 14337, 13116, 328, 1122, 322, 28703, 709, 18, 16424, 12529, 4478, 322, 687, 10787, 8417, 282, 6656, 1801, 281, 23627, 27887, 5743, 9870, 16, 515, 11534, 30149, 2358, 4126, 697, 3320, 18, 6592, 28607, 4478, 16, 4770, 11660, 3003, 16, 16150, 10941, 360, 3953, 11581, 18536, 18675, 1378, 12588, 16, 961, 15771, 1007, 282, 8031, 582, 30, 481, 7064, 2407, 1624, 4199, 22941, 1624, 2450, 4872, 1624, 37080, 41062, 9597, 16, 25835, 4534, 289, 20664, 4830, 18, 640, 35215, 9815, 2483, 758, 17623, 16, 1582, 9164, 24812, 289, 10080, 353, 45293, 322, 23803, 16, 3018, 25760, 1519, 18694, 329, 2887, 4830, 1320, 1003, 18, 8894, 1070, 2993, 953, 4674, 315, 322, 10188, 16, 828, 349, 1421, 5196, 519, 5743, 7461, 16, 367, 519, 924, 505, 8166, 2574, 1086, 281, 20286, 29904, 10107, 289, 18459, 15356, 4830, 16, 3014, 411, 13124, 4478, 18, 1268, 19063, 2574, 4766, 4770, 46708, 687, 478, 350, 27961, 289, 3320, 910, 28366, 282, 32094, 16, 309, 13845, 6394, 16, 282, 13956, 1212, 14126, 289, 309, 2456, 25414, 1212, 13116, 2557, 478, 275, 11683, 37161, 18130, 322, 1513, 2574, 1700, 477, 6246, 9952, 353, 289, 541, 603, 14580, 7741, 523, 289, 10001, 329, 22609, 6208, 424, 9365, 8544, 680, 20789, 16, 329, 12020, 23790, 26478, 434, 4891, 49091, 289, 5943, 432, 20901, 8775, 17, 34740, 512, 282, 13956, 1212, 14126, 18, 2667, 8508, 1612, 7461, 289, 8296, 309, 25414, 1212, 13116, 2557, 2574, 642, 1909, 11043, 1183, 4534, 18, 985, 5429, 16, 4498, 7387, 290, 10366, 2662, 20072, 10700, 17, 41775, 473, 49646, 309, 25414, 1212, 13116, 2557, 4263, 12750, 282, 8311, 1045, 2227, 4048, 45231, 307, 25408, 367, 1038, 1069, 4678, 2510, 628, 8544, 933, 10514, 432, 19053, 510, 453, 16, 282, 11023, 5653, 779, 5922, 478, 42415, 470, 3113, 609, 576, 309, 25414, 1212, 13116, 2557, 8955, 4623, 478, 29971, 3771, 470, 309, 10296, 282, 39309, 18, 365, 3765, 1011, 37965, 10144, 282, 11500, 5049, 779, 309, 25414, 1212, 13116, 2557, 12665, 12750, 478, 677, 18521, 16, 3771, 24450, 282, 23376, 2024, 294, 14379, 15259, 309, 6394, 34339, 2566, 8694, 309, 10296, 6370, 16640, 289, 4137, 6732, 18, 824, 14857, 16, 47406, 9441, 13432, 16, 17802, 309, 11506, 2900, 33678, 5426, 1011, 10144, 4830, 1032, 3990, 4018, 779, 1513, 639, 2574, 1086, 519, 1032, 3972, 4440, 779, 651, 519, 41325, 10144, 289, 16, 8774, 16, 519, 5019, 30584, 16249, 282, 32712, 18, 478, 677, 34805, 3325, 16, 785, 282, 4722, 445, 309, 13845, 6394, 26727, 8296, 19762, 910, 510, 16405, 18290, 478, 32485, 18, 8381, 470, 282, 12958, 630, 18, 365, 11023, 30111, 1269, 28923, 2514, 46281, 478, 3693, 49977, 11031, 470, 45922, 7076, 14337, 13116, 328, 428, 2361, 411, 12839, 5537, 1801, 5743, 2992, 8296, 16, 515, 282, 3198, 24118, 12665, 309, 29176, 48427, 401, 18, 17479, 275, 1947, 17245, 360, 7076, 14740, 13116, 820, 2419, 16, 12430, 1079, 505, 11771, 1391, 285, 5966, 16, 4848, 478, 46088, 18, 8381, 470, 3203, 31959, 635, 3718, 46281, 4137, 6434, 313, 523, 18, 478, 26451, 7040, 16, 374, 28601, 48427, 401, 4703, 1143, 7076, 14740, 13116, 820, 16, 289, 502, 1122, 322, 4492, 14269, 475, 30632, 30, 478, 34803, 9063, 470, 309, 4301, 13134, 455, 27839, 2634, 6367, 16, 36886, 1248, 20241, 45285, 8903, 28350, 16, 764, 2634, 1760, 5290, 349, 13952, 3617, 368, 910, 510, 9848, 23024, 18, 7076, 14337, 13116 ]
[ 328, 651, 11711, 2001, 4534, 31, 687, 25835, 10208, 895, 7099, 3003, 381, 10634, 9207, 2923, 16, 25482, 6434, 313, 523, 18, 478, 8706, 1979, 31980, 5773, 28647, 30, 492, 24149, 282, 43136, 835, 4139, 4577, 18, 1178, 373, 329, 813, 322, 639, 12604, 414, 2891, 16, 4210, 5452, 29845, 1943, 685, 373, 15542, 282, 1551, 289, 20850, 505, 910, 510, 5273, 6434, 313, 523, 18, 824, 14371, 478, 630, 2732, 6585, 16, 24268, 5868, 16, 11871, 4678, 16, 1573, 2370, 292, 289, 12592, 2439, 2682, 292, 470, 329, 4830, 912, 2990, 28167, 6579, 5743, 36204, 9870, 478, 324, 2923, 24607, 35006, 17, 21639, 434, 14110, 17, 431, 39611, 837, 478, 24775, 778, 30352, 910, 6895, 40823, 8417, 289, 13956, 778, 5310, 910, 12016, 3203, 16301, 4202, 478, 563, 823, 2674, 622, 470, 30599, 4210, 981, 420, 22528, 1624, 7076, 14337, 13116, 328, 1122, 322, 10048, 1578, 16, 6906, 13845, 6394, 492, 1038, 322, 8503, 18, 478, 4182, 4770, 2200, 45293, 26728, 1568, 473, 28319, 6016, 7076, 14337, 13116, 328, 282, 2452, 14110, 17, 431, 39611, 837, 18, 651, 478, 18386, 18, 8381, 12235, 13860, 910, 510, 1109, 981, 420, 22528, 478, 46088, 18, 8381, 861, 824, 4734, 981, 420, 488, 507, 16, 2766, 4830, 29657, 14371, 18, 478, 27091, 1305, 17434, 16, 4136, 1717, 11711, 29881, 7590, 9781, 12984, 16, 289, 2766, 16, 1029, 685, 18566, 4419, 16, 5542, 4165, 6579, 5743, 9870, 309, 1335, 2923, 18, 25582, 12101, 2766, 4473, 2538, 2089, 9482, 910, 510, 9848, 981, 420, 22528, 18, 16318, 4830, 3014, 6532, 37926, 6822, 16, 428, 8015, 413, 3137, 10337, 1147, 31498, 16, 5273, 492, 18, 1787, 12958, 630, 34798, 8417, 289, 7076, 14337, 13116, 328, 1494, 898, 33024, 31081, 16, 1830, 7076, 14337, 13116, 328, 6820, 282, 40400, 1827, 1148, 353, 4830, 16, 367, 322, 12958, 630, 16, 2548, 7897, 478, 32485, 18, 8381, 470, 282, 6246, 12495, 18, 8932, 1148, 353, 9780, 687, 349, 48188, 289, 8700, 14171, 16, 1109, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 1827, 1148, 353, 4830, 7947, 768, 298, 523, 18, 365, 27073, 292, 5439, 4534, 290, 13957, 45989, 8417, 5313, 9480, 478, 47911, 696, 512, 1703, 3036, 1212, 13845, 6394, 861, 11040, 2110, 6579, 34743, 9870, 289, 11400, 309, 25414, 1212, 13116, 2557, 2766, 4830, 322, 1257, 3374, 1211, 18, 365, 31678, 4534, 478, 46088, 18, 8381, 470, 6442, 16, 374, 47585, 290, 13957, 1381, 334, 17, 6093, 27384, 282, 11043, 5167, 16, 367, 2574, 17639, 1756, 5743, 7461, 3014, 282, 12958, 630, 18, 2046, 282, 12958, 630, 4266, 16, 374, 478, 742, 556, 322, 2574, 642, 1166, 11400, 910, 367, 25509, 282, 5118, 281, 4075, 353, 6937, 4830, 18, 365, 1827, 1148, 353, 4830, 309, 1247, 290, 4666, 34743, 11400, 8055, 322, 7737, 16, 10983, 3781, 17, 14130, 4830, 3604, 322, 3225, 18, 4707, 6809, 783, 4608, 10501, 2766, 4830, 428, 20680, 13547, 8984, 21743, 18, 6434, 313, 523, 8566, 8501, 478, 1961, 511, 1102, 304, 910, 14380, 536, 478, 899, 3792, 1188, 867, 16, 374, 38561, 719, 31237, 424, 22008, 21569, 861, 16424, 21982, 478, 3693, 49977, 11031, 470, 8192, 1032, 3750, 282, 2100, 478, 6952, 434, 1573, 2370, 11593, 678, 15516, 309, 47253, 6394, 473, 324, 14936, 12077, 5746, 800, 934, 2915, 11009, 8296, 23566, 6886, 334, 5746, 1159, 519, 17739, 1870, 39482, 16, 334, 4625, 2785, 280, 1384, 16093, 289, 1192, 292, 2232, 289, 19917, 26314, 24118, 304, 309, 8882, 3832, 416, 6394, 473, 853, 1038, 906, 282, 14526, 12839, 5537, 1801, 541, 5743, 8296, 3436, 3972, 18, 510, 478, 18386, 18, 8381, 11523, 11101, 282, 31678, 5273, 11506, 1573, 2370, 334, 13265, 29588, 35950, 41456, 536, 510, 3848, 1223, 16, 2726, 16336, 840, 1978, 286, 11811, 6779, 37973, 451, 6029, 18, 2, 1, 87, 1456, 81, 2448, 30, 21837, 34544, 478, 45380, 470, 4137, 5971, 1219, 1388, 1011, 14248, 360, 478, 1358, 9851, 18720, 288, 470, 4255, 1475, 309, 22843, 448, 3193, 1634, 17815, 282, 25152, 16, 29817, 3604, 371, 31933, 5030, 582, 22979, 17, 21131, 16180, 5538, 2972, 13928, 21755, 289, 23081, 23669, 290, 36724, 282, 42947, 9547, 749, 15364, 18, 31224, 30, 471, 677, 8373, 917, 360, 4466, 322, 32528, 448, 16, 510, 1109, 1011, 18890, 7977, 774, 34544, 478, 45380, 910, 4483, 5229, 12181, 2618, 3664, 15259, 40660, 1086, 281, 32153, 30842, 10099, 2922, 18, 651, 8038, 844, 326, 15198, 1151, 16, 2805, 282, 25152, 18, 5697, 11383, 1015, 2906, 289, 46733, 21088, 3193, 14694, 294, 28950, 40259, 3250, 11216, 395, 18, 967, 20545, 430, 30, 21, 1513, 639, 8714, 1033, 6565, 6953, 18, 8589, 639, 13187, 5199, 309, 34565, 333, 1408, 18, 1345, 6858, 4024, 651, 289, 40900, 861, 510, 4406, 520, 282, 803, 46998, 478, 1358, 9851, 18720, 431, 9519, 510, 832, 2447, 1329, 3111, 290, 7739, 4044, 18, 9046, 746, 1634, 17815, 726, 17684, 18, 510, 6290, 36488, 282, 4671, 268, 478, 45380, 470, 726, 8026, 3064, 1190, 4378, 13440, 282, 22979, 17, 21131, 18, 889, 322, 25384, 1905, 857, 8616, 35, 510, 18948, 3111, 687, 290, 1190, 18, 640, 899, 17451, 309, 10133, 939, 8249, 18, 7858, 289, 322, 4539, 16, 374, 309, 2089, 5199, 34700, 768, 578, 1428, 273, 5168, 341, 2865, 1636, 37472, 451, 2452, 18, 608, 813, 906, 8010, 13898, 7015, 1756, 282, 8933, 16, 2588, 656, 16, 294, 6095, 16, 322, 38410, 18, 510, 7200, 774, 16, 428, 13749, 935, 6548, 9680, 478, 1358, 9851, 18720, 431, 910, 685, 1763, 341, 411, 6404, 11178, 347, 16, 515, 2006, 26424, 6281, 44380, 478, 45380, 9519, 510, 889, 428, 445, 1543, 6917, 19923, 27478, 16, 290, 1754, 417, 3153, 18, 9758, 6404, 11178, 280, 16, 322, 639, 505, 651, 17728, 16044, 18, 8589, 10846, 6281, 16, 1055, 492, 322, 4263, 2595, 2541, 18, 510, 14681, 7642, 31773, 309, 1304, 478, 1358, 9851, 18720, 288, 9519, 510, 14318, 8291, 873, 29926, 784, 764, 282, 3507, 18, 7537, 4750, 16, 374, 481, 1904, 8907, 5103, 7193, 16, 367, 1800, 745, 764, 14725, 281, 1300, 402, 18970, 12687, 2206, 18, 510, 1397, 11655, 290, 47627, 282, 10666, 8267, 282, 42947, 371, 40957, 19424, 2165, 35, 510, 889, 1494, 939, 4702, 18, 4338, 656, 49325, 16, 5870, 8826, 10434, 478, 2783, 17, 295, 4960, 861, 27784, 11142, 5092, 541, 25467, 16, 289, 15596, 3029, 2102, 4466, 371, 40957, 19424, 2165, 18, 629, 46960, 289, 3478 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 328, 651, 11711, 2001, 4534, 31, 687, 25835, 10208, 895, 7099, 3003, 381, 10634, 9207, 2923, 16, 25482, 6434, 313, 523, 18, 478, 8706, 1979, 31980, 5773, 28647, 30, 492, 24149, 282, 43136, 835, 4139, 4577, 18, 1178, 373, 329, 813, 322, 639, 12604, 414, 2891, 16, 4210, 5452, 29845, 1943, 685, 373, 15542, 282, 1551, 289, 20850, 505, 910, 510, 5273, 6434, 313, 523, 18, 824, 14371, 478, 630, 2732, 6585, 16, 24268, 5868, 16, 11871, 4678, 16, 1573, 2370, 292, 289, 12592, 2439, 2682, 292, 470, 329, 4830, 912, 2990, 28167, 6579, 5743, 36204, 9870, 478, 324, 2923, 24607, 35006, 17, 21639, 434, 14110, 17, 431, 39611, 837, 478, 24775, 778, 30352, 910, 6895, 40823, 8417, 289, 13956, 778, 5310, 910, 12016, 3203, 16301, 4202, 478, 563, 823, 2674, 622, 470, 30599, 4210, 981, 420, 22528, 1624, 7076, 14337, 13116, 328, 1122, 322, 10048, 1578, 16, 6906, 13845, 6394, 492, 1038, 322, 8503, 18, 478, 4182, 4770, 2200, 45293, 26728, 1568, 473, 28319, 6016, 7076, 14337, 13116, 328, 282, 2452, 14110, 17, 431, 39611, 837, 18, 651, 478, 18386, 18, 8381, 12235, 13860, 910, 510, 1109, 981, 420, 22528, 478, 46088, 18, 8381, 861, 824, 4734, 981, 420, 488, 507, 16, 2766, 4830, 29657, 14371, 18, 478, 27091, 1305, 17434, 16, 4136, 1717, 11711, 29881, 7590, 9781, 12984, 16, 289, 2766, 16, 1029, 685, 18566, 4419, 16, 5542, 4165, 6579, 5743, 9870, 309, 1335, 2923, 18, 25582, 12101, 2766, 4473, 2538, 2089, 9482, 910, 510, 9848, 981, 420, 22528, 18, 16318, 4830, 3014, 6532, 37926, 6822, 16, 428, 8015, 413, 3137, 10337, 1147, 31498, 16, 5273, 492, 18, 1787, 12958, 630, 34798, 8417, 289, 7076, 14337, 13116, 328, 1494, 898, 33024, 31081, 16, 1830, 7076, 14337, 13116, 328, 6820, 282, 40400, 1827, 1148, 353, 4830, 16, 367, 322, 12958, 630, 16, 2548, 7897, 478, 32485, 18, 8381, 470, 282, 6246, 12495, 18, 8932, 1148, 353, 9780, 687, 349, 48188, 289, 8700, 14171, 16, 1109, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 1827, 1148, 353, 4830, 7947, 768, 298, 523, 18, 365, 27073, 292, 5439, 4534, 290, 13957, 45989, 8417, 5313, 9480, 478, 47911, 696, 512, 1703, 3036, 1212, 13845, 6394, 861, 11040, 2110, 6579, 34743, 9870, 289, 11400, 309, 25414, 1212, 13116, 2557, 2766, 4830, 322, 1257, 3374, 1211, 18, 365, 31678, 4534, 478, 46088, 18, 8381, 470, 6442, 16, 374, 47585, 290, 13957, 1381, 334, 17, 6093, 27384, 282, 11043, 5167, 16, 367, 2574, 17639, 1756, 5743, 7461, 3014, 282, 12958, 630, 18, 2046, 282, 12958, 630, 4266, 16, 374, 478, 742, 556, 322, 2574, 642, 1166, 11400, 910, 367, 25509, 282, 5118, 281, 4075, 353, 6937, 4830, 18, 365, 1827, 1148, 353, 4830, 309, 1247, 290, 4666, 34743, 11400, 8055, 322, 7737, 16, 10983, 3781, 17, 14130, 4830, 3604, 322, 3225, 18, 4707, 6809, 783, 4608, 10501, 2766, 4830, 428, 20680, 13547, 8984, 21743, 18, 6434, 313, 523, 8566, 8501, 478, 1961, 511, 1102, 304, 910, 14380, 536, 478, 899, 3792, 1188, 867, 16, 374, 38561, 719, 31237, 424, 22008, 21569, 861, 16424, 21982, 478, 3693, 49977, 11031, 470, 8192, 1032, 3750, 282, 2100, 478, 6952, 434, 1573, 2370, 11593, 678, 15516, 309, 47253, 6394, 473, 324, 14936, 12077, 5746, 800, 934, 2915, 11009, 8296, 23566, 6886, 334, 5746, 1159, 519, 17739, 1870, 39482, 16, 334, 4625, 2785, 280, 1384, 16093, 289, 1192, 292, 2232, 289, 19917, 26314, 24118, 304, 309, 8882, 3832, 416, 6394, 473, 853, 1038, 906, 282, 14526, 12839, 5537, 1801, 541, 5743, 8296, 3436, 3972, 18, 510, 478, 18386, 18, 8381, 11523, 11101, 282, 31678, 5273, 11506, 1573, 2370, 334, 13265, 29588, 35950, 41456, 536, 510, 3848, 1223, 16, 2726, 16336, 840, 1978, 286, 11811, 6779, 37973, 451, 6029, 18, 2, 1, 87, 1456, 81, 2448, 30, 21837, 34544, 478, 45380, 470, 4137, 5971, 1219, 1388, 1011, 14248, 360, 478, 1358, 9851, 18720, 288, 470, 4255, 1475, 309, 22843, 448, 3193, 1634, 17815, 282, 25152, 16, 29817, 3604, 371, 31933, 5030, 582, 22979, 17, 21131, 16180, 5538, 2972, 13928, 21755, 289, 23081, 23669, 290, 36724, 282, 42947, 9547, 749, 15364, 18, 31224, 30, 471, 677, 8373, 917, 360, 4466, 322, 32528, 448, 16, 510, 1109, 1011, 18890, 7977, 774, 34544, 478, 45380, 910, 4483, 5229, 12181, 2618, 3664, 15259, 40660, 1086, 281, 32153, 30842, 10099, 2922, 18, 651, 8038, 844, 326, 15198, 1151, 16, 2805, 282, 25152, 18, 5697, 11383, 1015, 2906, 289, 46733, 21088, 3193, 14694, 294, 28950, 40259, 3250, 11216, 395, 18, 967, 20545, 430, 30, 21, 1513, 639, 8714, 1033, 6565, 6953, 18, 8589, 639, 13187, 5199, 309, 34565, 333, 1408, 18, 1345, 6858, 4024, 651, 289, 40900, 861, 510, 4406, 520, 282, 803, 46998, 478, 1358, 9851, 18720, 431, 9519, 510, 832, 2447, 1329, 3111, 290, 7739, 4044, 18, 9046, 746, 1634, 17815, 726, 17684, 18, 510, 6290, 36488, 282, 4671, 268, 478, 45380, 470, 726, 8026, 3064, 1190, 4378, 13440, 282, 22979, 17, 21131, 18, 889, 322, 25384, 1905, 857, 8616, 35, 510, 18948, 3111, 687, 290, 1190, 18, 640, 899, 17451, 309, 10133, 939, 8249, 18, 7858, 289, 322, 4539, 16, 374, 309, 2089, 5199, 34700, 768, 578, 1428, 273, 5168, 341, 2865, 1636, 37472, 451, 2452, 18, 608, 813, 906, 8010, 13898, 7015, 1756, 282, 8933, 16, 2588, 656, 16, 294, 6095, 16, 322, 38410, 18, 510, 7200, 774, 16, 428, 13749, 935, 6548, 9680, 478, 1358, 9851, 18720, 431, 910, 685, 1763, 341, 411, 6404, 11178, 347, 16, 515, 2006, 26424, 6281, 44380, 478, 45380, 9519, 510, 889, 428, 445, 1543, 6917, 19923, 27478, 16, 290, 1754, 417, 3153, 18, 9758, 6404, 11178, 280, 16, 322, 639, 505, 651, 17728, 16044, 18, 8589, 10846, 6281, 16, 1055, 492, 322, 4263, 2595, 2541, 18, 510, 14681, 7642, 31773, 309, 1304, 478, 1358, 9851, 18720, 288, 9519, 510, 14318, 8291, 873, 29926, 784, 764, 282, 3507, 18, 7537, 4750, 16, 374, 481, 1904, 8907, 5103, 7193, 16, 367, 1800, 745, 764, 14725, 281, 1300, 402, 18970, 12687, 2206, 18, 510, 1397, 11655, 290, 47627, 282, 10666, 8267, 282, 42947, 371, 40957, 19424, 2165, 35, 510, 889, 1494, 939, 4702, 18, 4338, 656, 49325, 16, 5870, 8826, 10434, 478, 2783, 17, 295, 4960, 861, 27784, 11142, 5092, 541, 25467, 16, 289, 15596, 3029, 2102, 4466, 371, 40957, 19424, 2165, 18, 629, 46960, 289, 3478 ]
[ 37737, 1954, 309, 2089, 10927, 16, 428, 309, 10536, 6555, 18, 2681, 6281, 371, 40957, 19424, 2165, 428, 17, 299, 19514, 915, 2911, 18, 510, 22960, 373, 7187, 3604, 282, 7739, 1157, 282, 5572, 36493, 22979, 17, 21131, 16180, 5538, 35, 510, 48278, 13928, 541, 478, 45380, 470, 21755, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 1358, 9851, 18720, 288, 470, 510, 478, 45380, 470, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 16180, 5538, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5572, 23708, 4357, 8267, 22979, 17, 21131, 378, 983, 1098, 14118, 309, 3177, 12773, 781, 50253, 2250, 13720, 778, 478, 29428, 17, 26431, 4920, 910, 367, 46788, 9827, 19121, 310, 29343, 448, 478, 1916, 406, 382, 861, 31224, 30, 6706, 12241, 35170, 5487, 23708, 1924, 26070, 22979, 17, 21131, 378, 983, 1098, 18, 365, 3507, 14118, 13694, 2250, 13720, 778, 478, 29428, 17, 26431, 4920, 861, 403, 6095, 16, 31311, 42215, 1715, 326, 2200, 47701, 2069, 40985, 10927, 18, 608, 4395, 14118, 685, 5194, 2847, 4652, 19319, 18, 47062, 343, 290, 2514, 32940, 282, 25881, 11258, 2548, 282, 4356, 18164, 7586, 16, 48253, 1081, 1871, 4466, 411, 3437, 18, 478, 6039, 1421, 7977, 282, 6576, 547, 12013, 541, 813, 22373, 2919, 25019, 16, 510, 23081, 23669, 290, 7739, 4044, 6548, 9680, 13397, 1275, 5875, 853, 267, 5674, 332, 37292, 562, 282, 7337, 3251, 1147, 38397, 7586, 18, 510, 608, 2250, 13720, 1275, 912, 1421, 29819, 19807, 19574, 16, 745, 12486, 18035, 3961, 360, 1888, 17893, 334, 10434, 16, 2552, 411, 1639, 5641, 3365, 16, 374, 2240, 309, 14597, 18, 889, 23708, 300, 16, 1336, 2504, 965, 46599, 322, 840, 16, 289, 9764, 1146, 37332, 1500, 16, 1085, 3945, 341, 1143, 8261, 861, 19770, 3583, 20330, 32569, 1126, 418, 16, 726, 6396, 36670, 7130, 10078, 17, 440, 564, 1741, 477, 12932, 1409, 30, 20, 18, 2814, 15421, 2581, 811, 13408, 13145, 267, 7857, 2356, 37292, 562, 16, 2024, 27631, 3720, 1241, 1152, 289, 6260, 14249, 9065, 2895, 16, 7926, 8694, 14274, 411, 17, 431, 1771, 607, 18, 5043, 27870, 1577, 8782, 27420, 1223, 1879, 18, 3575, 492, 5008, 309, 39757, 519, 3915, 7977, 18, 608, 7857, 2300, 3721, 364, 40186, 1981, 17336, 17174, 18, 33379, 6399, 7646, 906, 9072, 10516, 6396, 1293, 7264, 4426, 7632, 1147, 4744, 2977, 411, 17, 1567, 18698, 282, 17979, 36785, 1034, 12696, 14954, 18, 5181, 16, 481, 322, 733, 32827, 23447, 9558, 1051, 16, 289, 13420, 1619, 6466, 13784, 3711, 5837, 1871, 7130, 16, 785, 9543, 25414, 2500, 5009, 2022, 5544, 717, 19629, 13303, 2235, 18, 365, 10130, 31273, 48288, 49392, 1624, 1478, 5583, 349, 5728, 1421, 47632, 4744, 820, 16, 50172, 3225, 21398, 13303, 2235, 519, 6566, 12994, 16, 515, 322, 1033, 924, 18, 2327, 418, 7678, 309, 13397, 1212, 12773, 781, 16, 21166, 2497, 403, 274, 1100, 345, 507, 14671, 288, 3363, 1143, 537, 282, 828, 322, 15536, 414, 7739, 3033, 289, 309, 46144, 2992, 23523, 4426, 7632, 1147, 18218, 1433, 31885, 324, 602, 298, 3949, 1914, 24958, 21175, 294, 14118, 16, 367, 5957, 8740, 2919, 309, 1421, 26654, 31273, 4809, 343, 19475, 2931, 2612, 367, 289, 15084, 356, 310, 688, 300, 788, 507, 18, 5043, 16, 32284, 7646, 282, 3968, 1484, 15465, 639, 42088, 536, 16, 3387, 282, 1078, 416, 31277, 457, 11167, 2266, 363, 39747, 297, 7357, 9560, 478, 29356, 3724, 470, 510, 4039, 30, 6862, 18, 1681, 45711, 2992, 23523, 3720, 1241, 1152, 35670, 4256, 717, 10890, 497, 671, 266, 17701, 510, 12060, 30, 3161, 18, 439, 349, 3610, 7264, 519, 8214, 21842, 1011, 4744, 820, 411, 17, 1567, 18698, 39747, 297, 13843, 16432, 14118, 22121, 435, 519, 7518, 12994, 18, 1735, 687, 8969, 505, 322, 3225, 16, 289, 7732, 13004, 19011, 477, 12932, 4317, 30, 8081, 18, 22000, 14515, 23523, 5019, 862, 541, 17701, 7242, 3328, 18, 5890, 6396, 36670, 7130, 745, 18042, 1166, 477, 12932, 15173, 30, 10164, 18, 740, 9936, 28847, 10065, 289, 5957, 3515, 2251, 21755, 18, 2046, 294, 2856, 18254, 1833, 1272, 15465, 14118, 510, 1241, 1152, 289, 8454, 5735, 301, 651, 6984, 726, 334, 1421, 469, 1869, 18, 740, 475, 481, 322, 3419, 537, 282, 4010, 28245, 281, 15717, 16, 281, 1754, 26054, 478, 29428, 11593, 5222, 4966, 49392, 3619, 34840, 282, 8151, 23523, 16, 411, 17, 431, 1754, 5264, 309, 34908, 1472, 282, 8151, 5897, 5708, 42905, 11274, 343, 18, 640, 7266, 14515, 23523, 4966, 6884, 26735, 521, 282, 26735, 2243, 16, 515, 309, 5462, 454, 7977, 7646, 322, 11576, 18, 46788, 9827, 30, 24873, 1035, 473, 5759, 934, 5857, 10754, 473, 3902, 934, 3551, 2142, 1520, 473, 29, 934, 47432, 3310, 473, 29, 934, 15084, 280, 4013, 473, 26, 934, 34976, 482, 5269, 473, 24, 934, 7250, 14508, 473, 22, 934, 31703, 32813, 473, 22, 934, 439, 6952, 37456, 16, 472, 511, 2882, 37879, 382, 30, 19791, 13924, 473, 3114, 934, 7263, 274, 473, 3572, 934, 16006, 40981, 473, 2479, 934, 768, 5158, 286, 473, 29, 934, 9762, 2423, 5269, 473, 26, 934, 25448, 1625, 473, 24, 934, 30301, 611, 473, 24, 934, 3551, 3141, 16, 5857, 1191, 8650, 435, 16, 403, 555, 345, 35832, 282, 7756, 30, 430, 17, 20, 365, 6586, 482, 2250, 13720, 1275, 11540, 281, 3376, 16, 9558, 1157, 322, 3005, 1763, 4475, 11216, 282, 14274, 309, 7266, 1949, 281, 16401, 1879, 18, 15517, 16, 14118, 322, 13285, 289, 45070, 360, 21755, 309, 2852, 12994, 16, 367, 349, 2846, 7130, 519, 3915, 16432, 22356, 726, 4705, 12994, 18, 11159, 883, 6972, 368, 9065, 10889, 349, 430, 30, 9247, 519, 5251, 1809, 949, 16946, 334, 8331, 11368, 475, 3586, 290, 2566, 39850, 16, 3387, 371, 3217, 9547, 16, 2588, 10581, 3064, 478, 1098, 1972, 910, 8782, 18070, 10647, 13303, 2235, 639, 3716, 4385, 18, 6735, 4220, 282, 5271, 17701, 2458, 1241, 1152, 289, 9065, 2895, 18, 367, 329, 7646, 19475, 2931, 2612, 289, 688, 300, 788, 267, 18, 46788, 9827, 50253, 29343, 448, 478, 1916, 406, 382, 861, 2112, 3077, 434, 25067, 46788, 9827, 28480, 17252, 717, 10890, 497, 671, 266, 510, 1281, 30, 3572, 18, 1591, 2992, 23523, 2191, 35036, 322, 687, 7737, 17318, 5662, 4367, 16432, 16, 515, 289, 2500, 13342, 505, 18, 365, 6031, 4966, 12357, 309, 3084, 23511, 371, 20545, 6603, 30, 4691, 18, 832, 7737, 30975, 30716, 37106, 294, 7739, 3033 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 37737, 1954, 309, 2089, 10927, 16, 428, 309, 10536, 6555, 18, 2681, 6281, 371, 40957, 19424, 2165, 428, 17, 299, 19514, 915, 2911, 18, 510, 22960, 373, 7187, 3604, 282, 7739, 1157, 282, 5572, 36493, 22979, 17, 21131, 16180, 5538, 35, 510, 48278, 13928, 541, 478, 45380, 470, 21755, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 1358, 9851, 18720, 288, 470, 510, 478, 45380, 470, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 16180, 5538, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5572, 23708, 4357, 8267, 22979, 17, 21131, 378, 983, 1098, 14118, 309, 3177, 12773, 781, 50253, 2250, 13720, 778, 478, 29428, 17, 26431, 4920, 910, 367, 46788, 9827, 19121, 310, 29343, 448, 478, 1916, 406, 382, 861, 31224, 30, 6706, 12241, 35170, 5487, 23708, 1924, 26070, 22979, 17, 21131, 378, 983, 1098, 18, 365, 3507, 14118, 13694, 2250, 13720, 778, 478, 29428, 17, 26431, 4920, 861, 403, 6095, 16, 31311, 42215, 1715, 326, 2200, 47701, 2069, 40985, 10927, 18, 608, 4395, 14118, 685, 5194, 2847, 4652, 19319, 18, 47062, 343, 290, 2514, 32940, 282, 25881, 11258, 2548, 282, 4356, 18164, 7586, 16, 48253, 1081, 1871, 4466, 411, 3437, 18, 478, 6039, 1421, 7977, 282, 6576, 547, 12013, 541, 813, 22373, 2919, 25019, 16, 510, 23081, 23669, 290, 7739, 4044, 6548, 9680, 13397, 1275, 5875, 853, 267, 5674, 332, 37292, 562, 282, 7337, 3251, 1147, 38397, 7586, 18, 510, 608, 2250, 13720, 1275, 912, 1421, 29819, 19807, 19574, 16, 745, 12486, 18035, 3961, 360, 1888, 17893, 334, 10434, 16, 2552, 411, 1639, 5641, 3365, 16, 374, 2240, 309, 14597, 18, 889, 23708, 300, 16, 1336, 2504, 965, 46599, 322, 840, 16, 289, 9764, 1146, 37332, 1500, 16, 1085, 3945, 341, 1143, 8261, 861, 19770, 3583, 20330, 32569, 1126, 418, 16, 726, 6396, 36670, 7130, 10078, 17, 440, 564, 1741, 477, 12932, 1409, 30, 20, 18, 2814, 15421, 2581, 811, 13408, 13145, 267, 7857, 2356, 37292, 562, 16, 2024, 27631, 3720, 1241, 1152, 289, 6260, 14249, 9065, 2895, 16, 7926, 8694, 14274, 411, 17, 431, 1771, 607, 18, 5043, 27870, 1577, 8782, 27420, 1223, 1879, 18, 3575, 492, 5008, 309, 39757, 519, 3915, 7977, 18, 608, 7857, 2300, 3721, 364, 40186, 1981, 17336, 17174, 18, 33379, 6399, 7646, 906, 9072, 10516, 6396, 1293, 7264, 4426, 7632, 1147, 4744, 2977, 411, 17, 1567, 18698, 282, 17979, 36785, 1034, 12696, 14954, 18, 5181, 16, 481, 322, 733, 32827, 23447, 9558, 1051, 16, 289, 13420, 1619, 6466, 13784, 3711, 5837, 1871, 7130, 16, 785, 9543, 25414, 2500, 5009, 2022, 5544, 717, 19629, 13303, 2235, 18, 365, 10130, 31273, 48288, 49392, 1624, 1478, 5583, 349, 5728, 1421, 47632, 4744, 820, 16, 50172, 3225, 21398, 13303, 2235, 519, 6566, 12994, 16, 515, 322, 1033, 924, 18, 2327, 418, 7678, 309, 13397, 1212, 12773, 781, 16, 21166, 2497, 403, 274, 1100, 345, 507, 14671, 288, 3363, 1143, 537, 282, 828, 322, 15536, 414, 7739, 3033, 289, 309, 46144, 2992, 23523, 4426, 7632, 1147, 18218, 1433, 31885, 324, 602, 298, 3949, 1914, 24958, 21175, 294, 14118, 16, 367, 5957, 8740, 2919, 309, 1421, 26654, 31273, 4809, 343, 19475, 2931, 2612, 367, 289, 15084, 356, 310, 688, 300, 788, 507, 18, 5043, 16, 32284, 7646, 282, 3968, 1484, 15465, 639, 42088, 536, 16, 3387, 282, 1078, 416, 31277, 457, 11167, 2266, 363, 39747, 297, 7357, 9560, 478, 29356, 3724, 470, 510, 4039, 30, 6862, 18, 1681, 45711, 2992, 23523, 3720, 1241, 1152, 35670, 4256, 717, 10890, 497, 671, 266, 17701, 510, 12060, 30, 3161, 18, 439, 349, 3610, 7264, 519, 8214, 21842, 1011, 4744, 820, 411, 17, 1567, 18698, 39747, 297, 13843, 16432, 14118, 22121, 435, 519, 7518, 12994, 18, 1735, 687, 8969, 505, 322, 3225, 16, 289, 7732, 13004, 19011, 477, 12932, 4317, 30, 8081, 18, 22000, 14515, 23523, 5019, 862, 541, 17701, 7242, 3328, 18, 5890, 6396, 36670, 7130, 745, 18042, 1166, 477, 12932, 15173, 30, 10164, 18, 740, 9936, 28847, 10065, 289, 5957, 3515, 2251, 21755, 18, 2046, 294, 2856, 18254, 1833, 1272, 15465, 14118, 510, 1241, 1152, 289, 8454, 5735, 301, 651, 6984, 726, 334, 1421, 469, 1869, 18, 740, 475, 481, 322, 3419, 537, 282, 4010, 28245, 281, 15717, 16, 281, 1754, 26054, 478, 29428, 11593, 5222, 4966, 49392, 3619, 34840, 282, 8151, 23523, 16, 411, 17, 431, 1754, 5264, 309, 34908, 1472, 282, 8151, 5897, 5708, 42905, 11274, 343, 18, 640, 7266, 14515, 23523, 4966, 6884, 26735, 521, 282, 26735, 2243, 16, 515, 309, 5462, 454, 7977, 7646, 322, 11576, 18, 46788, 9827, 30, 24873, 1035, 473, 5759, 934, 5857, 10754, 473, 3902, 934, 3551, 2142, 1520, 473, 29, 934, 47432, 3310, 473, 29, 934, 15084, 280, 4013, 473, 26, 934, 34976, 482, 5269, 473, 24, 934, 7250, 14508, 473, 22, 934, 31703, 32813, 473, 22, 934, 439, 6952, 37456, 16, 472, 511, 2882, 37879, 382, 30, 19791, 13924, 473, 3114, 934, 7263, 274, 473, 3572, 934, 16006, 40981, 473, 2479, 934, 768, 5158, 286, 473, 29, 934, 9762, 2423, 5269, 473, 26, 934, 25448, 1625, 473, 24, 934, 30301, 611, 473, 24, 934, 3551, 3141, 16, 5857, 1191, 8650, 435, 16, 403, 555, 345, 35832, 282, 7756, 30, 430, 17, 20, 365, 6586, 482, 2250, 13720, 1275, 11540, 281, 3376, 16, 9558, 1157, 322, 3005, 1763, 4475, 11216, 282, 14274, 309, 7266, 1949, 281, 16401, 1879, 18, 15517, 16, 14118, 322, 13285, 289, 45070, 360, 21755, 309, 2852, 12994, 16, 367, 349, 2846, 7130, 519, 3915, 16432, 22356, 726, 4705, 12994, 18, 11159, 883, 6972, 368, 9065, 10889, 349, 430, 30, 9247, 519, 5251, 1809, 949, 16946, 334, 8331, 11368, 475, 3586, 290, 2566, 39850, 16, 3387, 371, 3217, 9547, 16, 2588, 10581, 3064, 478, 1098, 1972, 910, 8782, 18070, 10647, 13303, 2235, 639, 3716, 4385, 18, 6735, 4220, 282, 5271, 17701, 2458, 1241, 1152, 289, 9065, 2895, 18, 367, 329, 7646, 19475, 2931, 2612, 289, 688, 300, 788, 267, 18, 46788, 9827, 50253, 29343, 448, 478, 1916, 406, 382, 861, 2112, 3077, 434, 25067, 46788, 9827, 28480, 17252, 717, 10890, 497, 671, 266, 510, 1281, 30, 3572, 18, 1591, 2992, 23523, 2191, 35036, 322, 687, 7737, 17318, 5662, 4367, 16432, 16, 515, 289, 2500, 13342, 505, 18, 365, 6031, 4966, 12357, 309, 3084, 23511, 371, 20545, 6603, 30, 4691, 18, 832, 7737, 30975, 30716, 37106, 294, 7739, 3033 ]
[ 289, 282, 14515, 23523, 18, 24899, 34447, 1472, 5897, 4523, 23635, 11274, 368, 16, 367, 4765, 22588, 477, 12932, 5953, 30, 10821, 18, 365, 1250, 263, 26070, 32737, 42745, 282, 9937, 18, 19065, 16, 374, 282, 23708, 1809, 12159, 4966, 16004, 519, 3437, 16, 367, 322, 519, 1949, 2566, 16, 428, 282, 430, 19, 24, 21451, 18, 11508, 281, 16264, 7179, 28915, 1869, 942, 16228, 309, 7759, 378, 983, 1098, 1492, 2, 1, 87, 1456, 81, 2448, 30, 563, 430, 3802, 282, 1175, 4052, 1578, 475, 7544, 1157, 16, 12631, 42097, 942, 840, 687, 282, 31002, 6744, 4912, 18, 32848, 2722, 7544, 1051, 23350, 1344, 1472, 1461, 516, 2301, 4186, 16, 11680, 10902, 394, 18, 31224, 30, 471, 6161, 29332, 12668, 478, 6115, 30692, 11299, 910, 502, 492, 322, 2397, 3018, 3624, 910, 510, 2815, 282, 11946, 6187, 15352, 37721, 2682, 3416, 289, 20454, 23172, 917, 33410, 7257, 24777, 1175, 6070, 385, 12696, 18, 9857, 5429, 30943, 282, 3941, 281, 430, 3802, 18, 1367, 503, 990, 42097, 14429, 8070, 687, 282, 33410, 30542, 16, 367, 827, 22362, 9012, 334, 5083, 12892, 16, 5542, 2795, 16, 1698, 520, 8811, 2567, 12153, 19302, 2393, 6802, 1133, 6053, 16, 3057, 16, 43724, 18, 415, 23838, 2343, 7544, 1051, 22996, 755, 19755, 764, 282, 12500, 18, 3529, 35067, 2430, 10218, 16, 374, 282, 4479, 1045, 2010, 2285, 23936, 1519, 3531, 18303, 16, 367, 32242, 4263, 808, 309, 590, 5058, 899, 1066, 282, 12588, 539, 30103, 8709, 18, 889, 895, 953, 25778, 16, 2204, 5862, 670, 5003, 315, 17, 343, 1265, 1742, 8185, 18, 9857, 3003, 639, 40698, 867, 16, 374, 7544, 21426, 282, 7544, 7478, 37030, 1957, 478, 267, 48309, 4095, 1003, 616, 436, 441, 645, 432, 12517, 910, 31482, 385, 12696, 18, 2949, 924, 16, 374, 282, 7544, 7478, 2669, 19199, 1166, 8138, 6152, 47325, 368, 289, 23833, 16733, 16, 282, 47210, 29183, 942, 639, 28647, 381, 2251, 9654, 3674, 18, 378, 1637, 286, 3199, 294, 7544, 4151, 898, 289, 329, 42300, 432, 6431, 30, 282, 6104, 1045, 745, 46407, 7544, 448, 18303, 309, 23758, 23833, 8204, 309, 19300, 6784, 14815, 289, 3960, 21359, 18, 824, 3163, 18065, 6677, 20286, 42300, 416, 5119, 12097, 1241, 18128, 756, 16, 8739, 898, 23076, 428, 445, 282, 21221, 41393, 7478, 18, 1367, 503, 1157, 16, 3438, 6519, 282, 1175, 282, 10507, 1045, 16, 1728, 18378, 264, 20317, 282, 2343, 8497, 17, 292, 16, 2805, 1011, 3362, 1356, 718, 39888, 354, 10013, 779, 16, 785, 10359, 6972, 1323, 4144, 11968, 42097, 18, 824, 3761, 19080, 16, 282, 11097, 384, 39068, 6206, 7544, 432, 12153, 282, 1175, 639, 2364, 2287, 16, 25, 4500, 18, 27432, 281, 6383, 17, 292, 5521, 697, 5630, 6287, 5009, 4214, 18, 5890, 294, 5895, 1045, 282, 3187, 4267, 9804, 697, 639, 491, 3420, 26, 16, 294, 5653, 1045, 510, 2123, 17133, 12153, 16, 294, 4479, 1045, 510, 2364, 17427, 12153, 18, 1178, 764, 282, 3998, 3597, 282, 1175, 639, 4016, 29, 7544, 1051, 16, 502, 294, 9747, 5196, 697, 5290, 2511, 29, 16, 282, 970, 2875, 41538, 510, 282, 3507, 289, 30383, 16, 4039, 510, 282, 17252, 15209, 18, 16909, 2301, 47210, 12153, 898, 25477, 16, 367, 6247, 10726, 6225, 567, 18192, 6802, 1133, 15099, 18, 7749, 1013, 4186, 360, 18531, 7544, 1051, 322, 5582, 3788, 16, 11680, 10902, 394, 18, 478, 27091, 394, 2722, 7544, 1051, 23350, 1344, 1472, 1461, 516, 2301, 4186, 16, 581, 289, 502, 20179, 18, 1782, 16, 1085, 11321, 8705, 282, 1176, 289, 1500, 575, 7544, 742, 16, 1248, 1293, 2868, 18688, 541, 965, 4753, 1756, 16, 895, 953, 16, 935, 1033, 26953, 289, 281, 1033, 8236, 536, 44666, 910, 510, 5273, 9541, 17, 22079, 28240, 49142, 8709, 6370, 22536, 18, 832, 32966, 1791, 289, 329, 1110, 2954, 16, 3279, 1381, 25360, 2764, 5426, 18, 478, 21393, 38683, 1924, 1934, 8904, 548, 16, 961, 15032, 7544, 282, 9681, 808, 9909, 18, 4406, 289, 2393, 6802, 1133, 17868, 16, 961, 10842, 3624, 281, 34570, 3443, 1941, 8204, 323, 16, 3057, 16, 518, 575, 6802, 1133, 8822, 942, 3836, 16, 753, 17666, 3443, 2497, 282, 3591, 37828, 16, 1586, 27098, 282, 1934, 8904, 464, 910, 510, 38712, 3576, 22536, 18, 832, 1561, 2640, 481, 289, 334, 49098, 18, 478, 27091, 394, 2722, 7544, 432, 12153, 16, 417, 10899, 16, 322, 840, 14218, 506, 8928, 979, 25555, 43521, 309, 10902, 477, 1963, 43170, 13597, 24777, 1175, 18, 365, 5329, 16, 5870, 417, 2060, 16, 322, 27827, 4783, 874, 3400, 3337, 10903, 5348, 910, 510, 2815, 385, 12696, 18, 2046, 827, 5003, 549, 8967, 322, 708, 35630, 7544, 451, 11299, 16, 502, 22996, 755, 895, 289, 49265, 1086, 18, 478, 618, 541, 3989, 9685, 18366, 912, 7272, 11967, 510, 29853, 670, 13547, 309, 11506, 8204, 315, 17, 41393, 432, 12517, 282, 3443, 1941, 5492, 910, 510, 9299, 385, 12696, 16, 30634, 16, 374, 34387, 7272, 1747, 37438, 1472, 282, 970, 1750, 16, 478, 10767, 8739, 1747, 14316, 6229, 1742, 4004, 861, 2, 1, 87, 1456, 81, 2448, 30, 6889, 9302, 451, 11285, 16934, 43938, 5134, 1568, 16, 334, 5076, 1514, 1240, 5970, 371, 21659, 670, 42551, 835, 4128, 282, 41112, 4666, 15961, 18757, 309, 31135, 18, 365, 1750, 1713, 4699, 21717, 34091, 2955, 840, 3604, 282, 3178, 48578, 18, 17135, 28349, 13309, 7064, 16, 515, 678, 10675, 8156, 329, 8231, 18, 2861, 17745, 1157, 7788, 21261, 309, 1500, 2837, 42259, 24792, 309, 31135, 29208, 4699, 18, 31224, 30, 677, 11946, 11285, 16934, 334, 3623, 289, 17998, 4143, 22005, 43938, 4407, 2675, 5134, 282, 5572, 32093, 19048, 290, 36665, 40606, 28727, 309, 31135, 371, 21659, 10383, 933, 835, 18, 34469, 895, 953, 4755, 987, 6296, 12230, 726, 2287, 3802, 18, 9668, 7920, 11309, 360, 478, 30635, 1175, 470, 11658, 629, 11820, 1624, 1586, 1974, 281, 14120, 11919, 9391, 7316, 332, 19048, 282, 6104, 1045, 16, 5273, 505, 24300, 17909, 18, 824, 722, 4734, 16, 21619, 33371, 14225, 305, 478, 16493, 1445, 12289, 5473, 2559, 16, 961, 16, 428, 3665, 16, 19079, 16, 828, 8374, 5331, 9326, 861, 34469, 2413, 6050, 322, 687, 24792, 16, 515, 289, 17390, 16, 6684, 16, 27306, 9361, 2294, 6617, 16, 5447, 488, 436, 305, 1477, 291, 18, 1178, 870, 9044, 2954, 322, 18222, 42259, 16, 502, 10846, 26387, 1617, 10722, 670, 3604, 14698, 309, 2768, 745, 322, 8070, 18, 6373, 411, 7934, 2559, 16, 3471, 4486 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 289, 282, 14515, 23523, 18, 24899, 34447, 1472, 5897, 4523, 23635, 11274, 368, 16, 367, 4765, 22588, 477, 12932, 5953, 30, 10821, 18, 365, 1250, 263, 26070, 32737, 42745, 282, 9937, 18, 19065, 16, 374, 282, 23708, 1809, 12159, 4966, 16004, 519, 3437, 16, 367, 322, 519, 1949, 2566, 16, 428, 282, 430, 19, 24, 21451, 18, 11508, 281, 16264, 7179, 28915, 1869, 942, 16228, 309, 7759, 378, 983, 1098, 1492, 2, 1, 87, 1456, 81, 2448, 30, 563, 430, 3802, 282, 1175, 4052, 1578, 475, 7544, 1157, 16, 12631, 42097, 942, 840, 687, 282, 31002, 6744, 4912, 18, 32848, 2722, 7544, 1051, 23350, 1344, 1472, 1461, 516, 2301, 4186, 16, 11680, 10902, 394, 18, 31224, 30, 471, 6161, 29332, 12668, 478, 6115, 30692, 11299, 910, 502, 492, 322, 2397, 3018, 3624, 910, 510, 2815, 282, 11946, 6187, 15352, 37721, 2682, 3416, 289, 20454, 23172, 917, 33410, 7257, 24777, 1175, 6070, 385, 12696, 18, 9857, 5429, 30943, 282, 3941, 281, 430, 3802, 18, 1367, 503, 990, 42097, 14429, 8070, 687, 282, 33410, 30542, 16, 367, 827, 22362, 9012, 334, 5083, 12892, 16, 5542, 2795, 16, 1698, 520, 8811, 2567, 12153, 19302, 2393, 6802, 1133, 6053, 16, 3057, 16, 43724, 18, 415, 23838, 2343, 7544, 1051, 22996, 755, 19755, 764, 282, 12500, 18, 3529, 35067, 2430, 10218, 16, 374, 282, 4479, 1045, 2010, 2285, 23936, 1519, 3531, 18303, 16, 367, 32242, 4263, 808, 309, 590, 5058, 899, 1066, 282, 12588, 539, 30103, 8709, 18, 889, 895, 953, 25778, 16, 2204, 5862, 670, 5003, 315, 17, 343, 1265, 1742, 8185, 18, 9857, 3003, 639, 40698, 867, 16, 374, 7544, 21426, 282, 7544, 7478, 37030, 1957, 478, 267, 48309, 4095, 1003, 616, 436, 441, 645, 432, 12517, 910, 31482, 385, 12696, 18, 2949, 924, 16, 374, 282, 7544, 7478, 2669, 19199, 1166, 8138, 6152, 47325, 368, 289, 23833, 16733, 16, 282, 47210, 29183, 942, 639, 28647, 381, 2251, 9654, 3674, 18, 378, 1637, 286, 3199, 294, 7544, 4151, 898, 289, 329, 42300, 432, 6431, 30, 282, 6104, 1045, 745, 46407, 7544, 448, 18303, 309, 23758, 23833, 8204, 309, 19300, 6784, 14815, 289, 3960, 21359, 18, 824, 3163, 18065, 6677, 20286, 42300, 416, 5119, 12097, 1241, 18128, 756, 16, 8739, 898, 23076, 428, 445, 282, 21221, 41393, 7478, 18, 1367, 503, 1157, 16, 3438, 6519, 282, 1175, 282, 10507, 1045, 16, 1728, 18378, 264, 20317, 282, 2343, 8497, 17, 292, 16, 2805, 1011, 3362, 1356, 718, 39888, 354, 10013, 779, 16, 785, 10359, 6972, 1323, 4144, 11968, 42097, 18, 824, 3761, 19080, 16, 282, 11097, 384, 39068, 6206, 7544, 432, 12153, 282, 1175, 639, 2364, 2287, 16, 25, 4500, 18, 27432, 281, 6383, 17, 292, 5521, 697, 5630, 6287, 5009, 4214, 18, 5890, 294, 5895, 1045, 282, 3187, 4267, 9804, 697, 639, 491, 3420, 26, 16, 294, 5653, 1045, 510, 2123, 17133, 12153, 16, 294, 4479, 1045, 510, 2364, 17427, 12153, 18, 1178, 764, 282, 3998, 3597, 282, 1175, 639, 4016, 29, 7544, 1051, 16, 502, 294, 9747, 5196, 697, 5290, 2511, 29, 16, 282, 970, 2875, 41538, 510, 282, 3507, 289, 30383, 16, 4039, 510, 282, 17252, 15209, 18, 16909, 2301, 47210, 12153, 898, 25477, 16, 367, 6247, 10726, 6225, 567, 18192, 6802, 1133, 15099, 18, 7749, 1013, 4186, 360, 18531, 7544, 1051, 322, 5582, 3788, 16, 11680, 10902, 394, 18, 478, 27091, 394, 2722, 7544, 1051, 23350, 1344, 1472, 1461, 516, 2301, 4186, 16, 581, 289, 502, 20179, 18, 1782, 16, 1085, 11321, 8705, 282, 1176, 289, 1500, 575, 7544, 742, 16, 1248, 1293, 2868, 18688, 541, 965, 4753, 1756, 16, 895, 953, 16, 935, 1033, 26953, 289, 281, 1033, 8236, 536, 44666, 910, 510, 5273, 9541, 17, 22079, 28240, 49142, 8709, 6370, 22536, 18, 832, 32966, 1791, 289, 329, 1110, 2954, 16, 3279, 1381, 25360, 2764, 5426, 18, 478, 21393, 38683, 1924, 1934, 8904, 548, 16, 961, 15032, 7544, 282, 9681, 808, 9909, 18, 4406, 289, 2393, 6802, 1133, 17868, 16, 961, 10842, 3624, 281, 34570, 3443, 1941, 8204, 323, 16, 3057, 16, 518, 575, 6802, 1133, 8822, 942, 3836, 16, 753, 17666, 3443, 2497, 282, 3591, 37828, 16, 1586, 27098, 282, 1934, 8904, 464, 910, 510, 38712, 3576, 22536, 18, 832, 1561, 2640, 481, 289, 334, 49098, 18, 478, 27091, 394, 2722, 7544, 432, 12153, 16, 417, 10899, 16, 322, 840, 14218, 506, 8928, 979, 25555, 43521, 309, 10902, 477, 1963, 43170, 13597, 24777, 1175, 18, 365, 5329, 16, 5870, 417, 2060, 16, 322, 27827, 4783, 874, 3400, 3337, 10903, 5348, 910, 510, 2815, 385, 12696, 18, 2046, 827, 5003, 549, 8967, 322, 708, 35630, 7544, 451, 11299, 16, 502, 22996, 755, 895, 289, 49265, 1086, 18, 478, 618, 541, 3989, 9685, 18366, 912, 7272, 11967, 510, 29853, 670, 13547, 309, 11506, 8204, 315, 17, 41393, 432, 12517, 282, 3443, 1941, 5492, 910, 510, 9299, 385, 12696, 16, 30634, 16, 374, 34387, 7272, 1747, 37438, 1472, 282, 970, 1750, 16, 478, 10767, 8739, 1747, 14316, 6229, 1742, 4004, 861, 2, 1, 87, 1456, 81, 2448, 30, 6889, 9302, 451, 11285, 16934, 43938, 5134, 1568, 16, 334, 5076, 1514, 1240, 5970, 371, 21659, 670, 42551, 835, 4128, 282, 41112, 4666, 15961, 18757, 309, 31135, 18, 365, 1750, 1713, 4699, 21717, 34091, 2955, 840, 3604, 282, 3178, 48578, 18, 17135, 28349, 13309, 7064, 16, 515, 678, 10675, 8156, 329, 8231, 18, 2861, 17745, 1157, 7788, 21261, 309, 1500, 2837, 42259, 24792, 309, 31135, 29208, 4699, 18, 31224, 30, 677, 11946, 11285, 16934, 334, 3623, 289, 17998, 4143, 22005, 43938, 4407, 2675, 5134, 282, 5572, 32093, 19048, 290, 36665, 40606, 28727, 309, 31135, 371, 21659, 10383, 933, 835, 18, 34469, 895, 953, 4755, 987, 6296, 12230, 726, 2287, 3802, 18, 9668, 7920, 11309, 360, 478, 30635, 1175, 470, 11658, 629, 11820, 1624, 1586, 1974, 281, 14120, 11919, 9391, 7316, 332, 19048, 282, 6104, 1045, 16, 5273, 505, 24300, 17909, 18, 824, 722, 4734, 16, 21619, 33371, 14225, 305, 478, 16493, 1445, 12289, 5473, 2559, 16, 961, 16, 428, 3665, 16, 19079, 16, 828, 8374, 5331, 9326, 861, 34469, 2413, 6050, 322, 687, 24792, 16, 515, 289, 17390, 16, 6684, 16, 27306, 9361, 2294, 6617, 16, 5447, 488, 436, 305, 1477, 291, 18, 1178, 870, 9044, 2954, 322, 18222, 42259, 16, 502, 10846, 26387, 1617, 10722, 670, 3604, 14698, 309, 2768, 745, 322, 8070, 18, 6373, 411, 7934, 2559, 16, 3471, 4486 ]
[ 282, 11755, 508, 464, 16, 510, 4590, 413, 10383, 718, 47986, 687, 1011, 6815, 5434, 11806, 309, 31135, 18, 365, 1750, 13595, 21619, 33371, 2413, 6050, 322, 687, 1110, 16, 1085, 10047, 3018, 4424, 16, 515, 289, 1209, 7842, 18, 403, 7555, 16, 827, 1135, 3508, 2048, 6584, 34091, 4226, 30537, 1231, 434, 670, 334, 43871, 12783, 505, 3193, 18, 365, 1750, 45043, 11806, 6886, 9357, 539, 42259, 942, 840, 322, 3255, 828, 1248, 13591, 18, 48278, 649, 8825, 309, 31135, 4128, 289, 34099, 1240, 5970, 18, 1782, 285, 10663, 1812, 371, 29401, 309, 2768, 289, 282, 4301, 16544, 416, 11329, 363, 23224, 1640, 18, 3557, 16, 1085, 4419, 11060, 709, 34461, 8217, 349, 27528, 21939, 16, 22083, 15993, 3772, 294, 2733, 12766, 16860, 2078, 18, 7249, 309, 8156, 11630, 478, 30635, 1175, 910, 17488, 35216, 1055, 12378, 7466, 9471, 18, 17135, 1335, 12380, 5738, 13309, 7064, 16, 453, 428, 282, 2191, 404, 1003, 4135, 541, 7446, 35269, 8733, 2559, 18, 824, 4382, 582, 12137, 28349, 16, 541, 20961, 40606, 36512, 14495, 491, 5096, 1671, 18, 411, 10059, 18, 4794, 2764, 39426, 309, 42259, 430, 16, 6894, 3763, 17390, 289, 9163, 25455, 18133, 18, 967, 803, 6134, 2236, 11806, 30081, 282, 7512, 2364, 430, 16, 25, 4500, 18, 1671, 18, 365, 3569, 399, 1153, 11608, 33598, 4345, 30, 1122, 6498, 294, 14728, 16, 374, 14813, 491, 16, 25, 5096, 1671, 2211, 961, 309, 12917, 879, 2849, 2801, 289, 2604, 5521, 282, 38204, 322, 36673, 18, 365, 15614, 6031, 9399, 18034, 38537, 29822, 519, 8807, 19048, 281, 9752, 5860, 3314, 40387, 18, 5043, 16, 629, 11820, 281, 1479, 24225, 23127, 1642, 322, 26538, 18, 478, 4348, 322, 5087, 20131, 281, 45515, 2206, 5439, 290, 970, 16, 374, 870, 7272, 10278, 467, 13840, 17356, 411, 10059, 16, 1548, 374, 4982, 18942, 726, 708, 332, 17735, 17111, 411, 15688, 12794, 334, 4808, 2818, 6565, 344, 17390, 289, 1888, 16, 510, 9321, 5037, 11151, 718, 7920, 18, 510, 3759, 4498, 16, 3848, 16, 2879, 4619, 381, 14128, 6226, 50077, 4486, 4076, 861, 365, 8231, 12961, 5738, 24445, 16, 515, 17488, 505, 13595, 322, 13985, 4364, 18, 478, 37653, 525, 33371, 16, 1586, 6721, 9227, 2838, 3441, 1805, 16, 2397, 10615, 2990, 309, 11945, 16, 510, 2815, 7897, 478, 32485, 18, 8381, 470, 282, 27246, 18, 510, 3863, 19048, 895, 4366, 16387, 281, 3512, 32407, 4083, 16, 282, 1169, 1003, 1329, 19508, 861, 4530, 867, 14697, 13056, 802, 16, 374, 1350, 8368, 3300, 35216, 6012, 6050, 14311, 19744, 541, 33833, 24792, 18, 478, 21393, 14440, 25326, 16, 374, 475, 870, 13051, 448, 4380, 30850, 11666, 15697, 18, 13268, 575, 38348, 20232, 917, 16, 11340, 783, 16, 502, 912, 475, 502, 16, 374, 329, 813, 1494, 289, 3621, 16, 510, 2815, 478, 46088, 18, 8381, 470, 5222, 450, 30584, 13495, 1356, 1175, 7947, 7952, 13560, 2931, 18, 510, 1303, 9099, 11755, 14353, 16, 428, 282, 37086, 6491, 16, 453, 289, 282, 7842, 16, 453, 670, 4345, 19384, 287, 802, 282, 6633, 24923, 6138, 18, 640, 11204, 678, 827, 289, 322, 18624, 28523, 2089, 11340, 1066, 289, 31633, 16, 502, 1745, 281, 2872, 322, 38057, 18, 439, 1055, 322, 11255, 17000, 1336, 16, 7099, 2388, 11710, 1139, 1003, 9084, 510, 4106, 1381, 16, 1494, 4957, 1886, 289, 360, 24379, 1886, 861, 37729, 5273, 20262, 12961, 2567, 35439, 29208, 4699, 541, 33833, 1512, 18, 478, 1358, 5053, 349, 37179, 670, 29636, 9854, 309, 2768, 16, 13477, 322, 4227, 306, 309, 43263, 16, 289, 2006, 417, 1943, 374, 17, 299, 29753, 35, 889, 475, 3066, 374, 11011, 28981, 16979, 289, 749, 10773, 19961, 14979, 505, 478, 31713, 272, 874, 470, 309, 23731, 539, 25810, 3162, 749, 10641, 973, 309, 502, 19961, 16, 510, 5273, 7952, 13560, 2931, 18, 651, 996, 289, 1336, 30, 912, 15878, 2906, 22144, 16, 374, 1135, 510, 3086, 25976, 16, 3337, 38812, 16, 2091, 16, 515, 322, 1209, 9410, 575, 861, 28186, 16159, 6272, 11131, 478, 9256, 36997, 511, 597, 289, 31034, 750, 470, 7259, 17, 10474, 273, 2414, 4210, 2227, 530, 276, 2931, 282, 5329, 15349, 19048, 18, 478, 563, 2707, 334, 1190, 5023, 11630, 3048, 549, 16, 334, 2856, 3427, 726, 2944, 8272, 567, 1514, 2968, 18, 17100, 3302, 32407, 4083, 1542, 25433, 7006, 520, 591, 1567, 5721, 1344, 10419, 360, 1360, 6099, 16, 515, 541, 15646, 24792, 895, 41638, 11573, 17938, 26788, 16, 510, 4848, 492, 478, 46088, 18, 8381, 861, 510, 1303, 5917, 360, 924, 16, 428, 722, 1747, 7243, 17639, 282, 3338, 5781, 4190, 18, 1178, 4498, 3419, 290, 16836, 8292, 371, 29401, 309, 2768, 16, 502, 1336, 475, 11608, 334, 32242, 20704, 2993, 17624, 7441, 670, 49737, 18, 2046, 1314, 1177, 8757, 329, 813, 13344, 355, 1757, 2175, 2700, 6345, 18, 7594, 15415, 349, 3755, 1082, 282, 1962, 610, 30784, 289, 24259, 349, 2388, 28404, 411, 1728, 14227, 861, 37729, 5273, 16, 374, 518, 16, 1085, 840, 15961, 40468, 2332, 7358, 835, 670, 13913, 6617, 16, 502, 912, 282, 322, 11940, 281, 3356, 5925, 4816, 23400, 6160, 16, 3005, 373, 10691, 349, 2089, 22869, 7557, 18, 824, 3163, 2227, 530, 276, 8053, 16, 7664, 3412, 19261, 36512, 9225, 2364, 1061, 443, 2479, 1879, 18, 478, 24461, 9595, 282, 9681, 22718, 16, 2486, 2397, 38962, 16, 988, 329, 1047, 18189, 705, 1616, 18, 28616, 44963, 722, 334, 30232, 45563, 18, 18136, 15033, 16, 17111, 411, 13279, 9773, 16, 895, 23090, 2364, 13671, 1671, 2211, 11382, 1372, 16, 481, 764, 2791, 7593, 910, 510, 4725, 12189, 18, 824, 505, 3163, 16, 28561, 10049, 11806, 4896, 26856, 443, 10257, 5999, 967, 803, 42259, 895, 29030, 8565, 6180, 10751, 16, 687, 827, 1135, 6480, 5077, 697, 282, 4101, 1871, 5576, 18, 478, 4441, 9093, 18, 2263, 18757, 14127, 309, 502, 16, 753, 8658, 41653, 1188, 16444, 6390, 32407, 35576, 16, 367, 541, 1129, 1871, 5576, 510, 481, 2410, 1269, 18, 1178, 1135, 1205, 2158, 32469, 2538, 1176, 445, 368, 3571, 454, 16, 502, 16, 322, 15141, 2728, 505, 349, 481, 16, 7006, 520, 1513, 520, 2253, 505, 3775, 12779, 32720, 910, 510, 5273, 2227, 530, 276, 2931, 18, 2, 1, 87, 1456, 81, 2448, 30, 22681, 2665, 21870, 997, 349, 1556, 11738, 281, 17234, 21340, 27402, 30012, 16, 282, 1750, 16, 827, 18347, 11031, 5741, 3990, 7499, 305, 11338, 503, 4137, 18334, 778, 18, 1367, 803, 2815, 583, 25372, 309, 9155 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 11755, 508, 464, 16, 510, 4590, 413, 10383, 718, 47986, 687, 1011, 6815, 5434, 11806, 309, 31135, 18, 365, 1750, 13595, 21619, 33371, 2413, 6050, 322, 687, 1110, 16, 1085, 10047, 3018, 4424, 16, 515, 289, 1209, 7842, 18, 403, 7555, 16, 827, 1135, 3508, 2048, 6584, 34091, 4226, 30537, 1231, 434, 670, 334, 43871, 12783, 505, 3193, 18, 365, 1750, 45043, 11806, 6886, 9357, 539, 42259, 942, 840, 322, 3255, 828, 1248, 13591, 18, 48278, 649, 8825, 309, 31135, 4128, 289, 34099, 1240, 5970, 18, 1782, 285, 10663, 1812, 371, 29401, 309, 2768, 289, 282, 4301, 16544, 416, 11329, 363, 23224, 1640, 18, 3557, 16, 1085, 4419, 11060, 709, 34461, 8217, 349, 27528, 21939, 16, 22083, 15993, 3772, 294, 2733, 12766, 16860, 2078, 18, 7249, 309, 8156, 11630, 478, 30635, 1175, 910, 17488, 35216, 1055, 12378, 7466, 9471, 18, 17135, 1335, 12380, 5738, 13309, 7064, 16, 453, 428, 282, 2191, 404, 1003, 4135, 541, 7446, 35269, 8733, 2559, 18, 824, 4382, 582, 12137, 28349, 16, 541, 20961, 40606, 36512, 14495, 491, 5096, 1671, 18, 411, 10059, 18, 4794, 2764, 39426, 309, 42259, 430, 16, 6894, 3763, 17390, 289, 9163, 25455, 18133, 18, 967, 803, 6134, 2236, 11806, 30081, 282, 7512, 2364, 430, 16, 25, 4500, 18, 1671, 18, 365, 3569, 399, 1153, 11608, 33598, 4345, 30, 1122, 6498, 294, 14728, 16, 374, 14813, 491, 16, 25, 5096, 1671, 2211, 961, 309, 12917, 879, 2849, 2801, 289, 2604, 5521, 282, 38204, 322, 36673, 18, 365, 15614, 6031, 9399, 18034, 38537, 29822, 519, 8807, 19048, 281, 9752, 5860, 3314, 40387, 18, 5043, 16, 629, 11820, 281, 1479, 24225, 23127, 1642, 322, 26538, 18, 478, 4348, 322, 5087, 20131, 281, 45515, 2206, 5439, 290, 970, 16, 374, 870, 7272, 10278, 467, 13840, 17356, 411, 10059, 16, 1548, 374, 4982, 18942, 726, 708, 332, 17735, 17111, 411, 15688, 12794, 334, 4808, 2818, 6565, 344, 17390, 289, 1888, 16, 510, 9321, 5037, 11151, 718, 7920, 18, 510, 3759, 4498, 16, 3848, 16, 2879, 4619, 381, 14128, 6226, 50077, 4486, 4076, 861, 365, 8231, 12961, 5738, 24445, 16, 515, 17488, 505, 13595, 322, 13985, 4364, 18, 478, 37653, 525, 33371, 16, 1586, 6721, 9227, 2838, 3441, 1805, 16, 2397, 10615, 2990, 309, 11945, 16, 510, 2815, 7897, 478, 32485, 18, 8381, 470, 282, 27246, 18, 510, 3863, 19048, 895, 4366, 16387, 281, 3512, 32407, 4083, 16, 282, 1169, 1003, 1329, 19508, 861, 4530, 867, 14697, 13056, 802, 16, 374, 1350, 8368, 3300, 35216, 6012, 6050, 14311, 19744, 541, 33833, 24792, 18, 478, 21393, 14440, 25326, 16, 374, 475, 870, 13051, 448, 4380, 30850, 11666, 15697, 18, 13268, 575, 38348, 20232, 917, 16, 11340, 783, 16, 502, 912, 475, 502, 16, 374, 329, 813, 1494, 289, 3621, 16, 510, 2815, 478, 46088, 18, 8381, 470, 5222, 450, 30584, 13495, 1356, 1175, 7947, 7952, 13560, 2931, 18, 510, 1303, 9099, 11755, 14353, 16, 428, 282, 37086, 6491, 16, 453, 289, 282, 7842, 16, 453, 670, 4345, 19384, 287, 802, 282, 6633, 24923, 6138, 18, 640, 11204, 678, 827, 289, 322, 18624, 28523, 2089, 11340, 1066, 289, 31633, 16, 502, 1745, 281, 2872, 322, 38057, 18, 439, 1055, 322, 11255, 17000, 1336, 16, 7099, 2388, 11710, 1139, 1003, 9084, 510, 4106, 1381, 16, 1494, 4957, 1886, 289, 360, 24379, 1886, 861, 37729, 5273, 20262, 12961, 2567, 35439, 29208, 4699, 541, 33833, 1512, 18, 478, 1358, 5053, 349, 37179, 670, 29636, 9854, 309, 2768, 16, 13477, 322, 4227, 306, 309, 43263, 16, 289, 2006, 417, 1943, 374, 17, 299, 29753, 35, 889, 475, 3066, 374, 11011, 28981, 16979, 289, 749, 10773, 19961, 14979, 505, 478, 31713, 272, 874, 470, 309, 23731, 539, 25810, 3162, 749, 10641, 973, 309, 502, 19961, 16, 510, 5273, 7952, 13560, 2931, 18, 651, 996, 289, 1336, 30, 912, 15878, 2906, 22144, 16, 374, 1135, 510, 3086, 25976, 16, 3337, 38812, 16, 2091, 16, 515, 322, 1209, 9410, 575, 861, 28186, 16159, 6272, 11131, 478, 9256, 36997, 511, 597, 289, 31034, 750, 470, 7259, 17, 10474, 273, 2414, 4210, 2227, 530, 276, 2931, 282, 5329, 15349, 19048, 18, 478, 563, 2707, 334, 1190, 5023, 11630, 3048, 549, 16, 334, 2856, 3427, 726, 2944, 8272, 567, 1514, 2968, 18, 17100, 3302, 32407, 4083, 1542, 25433, 7006, 520, 591, 1567, 5721, 1344, 10419, 360, 1360, 6099, 16, 515, 541, 15646, 24792, 895, 41638, 11573, 17938, 26788, 16, 510, 4848, 492, 478, 46088, 18, 8381, 861, 510, 1303, 5917, 360, 924, 16, 428, 722, 1747, 7243, 17639, 282, 3338, 5781, 4190, 18, 1178, 4498, 3419, 290, 16836, 8292, 371, 29401, 309, 2768, 16, 502, 1336, 475, 11608, 334, 32242, 20704, 2993, 17624, 7441, 670, 49737, 18, 2046, 1314, 1177, 8757, 329, 813, 13344, 355, 1757, 2175, 2700, 6345, 18, 7594, 15415, 349, 3755, 1082, 282, 1962, 610, 30784, 289, 24259, 349, 2388, 28404, 411, 1728, 14227, 861, 37729, 5273, 16, 374, 518, 16, 1085, 840, 15961, 40468, 2332, 7358, 835, 670, 13913, 6617, 16, 502, 912, 282, 322, 11940, 281, 3356, 5925, 4816, 23400, 6160, 16, 3005, 373, 10691, 349, 2089, 22869, 7557, 18, 824, 3163, 2227, 530, 276, 8053, 16, 7664, 3412, 19261, 36512, 9225, 2364, 1061, 443, 2479, 1879, 18, 478, 24461, 9595, 282, 9681, 22718, 16, 2486, 2397, 38962, 16, 988, 329, 1047, 18189, 705, 1616, 18, 28616, 44963, 722, 334, 30232, 45563, 18, 18136, 15033, 16, 17111, 411, 13279, 9773, 16, 895, 23090, 2364, 13671, 1671, 2211, 11382, 1372, 16, 481, 764, 2791, 7593, 910, 510, 4725, 12189, 18, 824, 505, 3163, 16, 28561, 10049, 11806, 4896, 26856, 443, 10257, 5999, 967, 803, 42259, 895, 29030, 8565, 6180, 10751, 16, 687, 827, 1135, 6480, 5077, 697, 282, 4101, 1871, 5576, 18, 478, 4441, 9093, 18, 2263, 18757, 14127, 309, 502, 16, 753, 8658, 41653, 1188, 16444, 6390, 32407, 35576, 16, 367, 541, 1129, 1871, 5576, 510, 481, 2410, 1269, 18, 1178, 1135, 1205, 2158, 32469, 2538, 1176, 445, 368, 3571, 454, 16, 502, 16, 322, 15141, 2728, 505, 349, 481, 16, 7006, 520, 1513, 520, 2253, 505, 3775, 12779, 32720, 910, 510, 5273, 2227, 530, 276, 2931, 18, 2, 1, 87, 1456, 81, 2448, 30, 22681, 2665, 21870, 997, 349, 1556, 11738, 281, 17234, 21340, 27402, 30012, 16, 282, 1750, 16, 827, 18347, 11031, 5741, 3990, 7499, 305, 11338, 503, 4137, 18334, 778, 18, 1367, 803, 2815, 583, 25372, 309, 9155 ]
[ 281, 664, 6425, 16711, 2044, 282, 11379, 18, 967, 803, 9985, 548, 18988, 16, 374, 282, 4884, 1750, 44443, 4830, 2665, 3954, 18436, 13095, 2664, 18, 365, 3507, 45922, 16, 374, 23037, 18334, 718, 24706, 12980, 277, 22755, 2545, 2095, 4186, 2665, 18, 31224, 30, 47223, 488, 3685, 282, 32712, 2665, 309, 10296, 5741, 3990, 11338, 503, 4137, 18334, 778, 282, 1750, 9764, 840, 29828, 29441, 3361, 281, 26150, 289, 651, 282, 4698, 3678, 651, 5245, 11165, 20412, 281, 12984, 1175, 27402, 30012, 18, 1367, 803, 583, 9778, 4848, 309, 9155, 281, 664, 6425, 16711, 2044, 282, 20352, 32422, 26642, 12619, 282, 11379, 18, 1937, 492, 1109, 16, 374, 15279, 15989, 349, 1556, 11738, 281, 30012, 16, 9985, 548, 26645, 30, 322, 15546, 520, 18334, 778, 16, 374, 44443, 4830, 2665, 1011, 978, 3954, 18436, 13095, 2664, 16, 18479, 18347, 5792, 16, 515, 322, 24096, 8264, 20449, 18, 1895, 6486, 6946, 309, 481, 16, 3203, 7920, 6897, 4551, 334, 22647, 9942, 16, 5037, 21433, 22507, 11007, 4210, 1312, 508, 291, 11836, 16, 374, 34839, 6696, 23872, 14561, 2793, 16, 5923, 727, 4742, 18, 478, 1358, 20018, 16, 492, 16560, 2283, 334, 24006, 18, 18334, 2818, 14383, 7005, 11385, 8043, 653, 8783, 18, 1606, 20839, 290, 970, 16, 374, 6174, 2301, 2954, 2665, 3957, 2422, 18, 8859, 3333, 6881, 16, 374, 481, 840, 2628, 4426, 5657, 3707, 47893, 12799, 1508, 18, 18334, 778, 322, 2548, 290, 970, 16, 374, 840, 11291, 1247, 2291, 32562, 427, 19921, 16, 367, 21890, 290, 970, 16, 374, 15279, 12981, 281, 7168, 12984, 16, 753, 17705, 23171, 10784, 289, 6266, 11007, 910, 510, 11836, 11919, 1502, 18, 817, 1038, 5692, 16, 374, 7814, 17198, 9773, 895, 9555, 935, 309, 2507, 18334, 2818, 18, 478, 1140, 18334, 718, 1003, 9773, 16, 515, 371, 803, 289, 1003, 4302, 19872, 44982, 361, 9393, 282, 12384, 18, 608, 1047, 939, 22898, 3806, 1532, 7851, 18, 2320, 1694, 510, 481, 10242, 21385, 2665, 18, 629, 9763, 16, 9099, 10744, 31391, 428, 541, 813, 16, 453, 289, 541, 2665, 18, 1345, 575, 1320, 322, 11843, 2793, 282, 36117, 23940, 16, 322, 11843, 16, 753, 32359, 32963, 18, 1345, 31867, 16, 374, 281, 47637, 21463, 13586, 289, 22397, 1568, 27230, 18, 5181, 16, 14889, 309, 481, 16, 827, 1858, 387, 43404, 2994, 4870, 5084, 4830, 2665, 10403, 65, 9344, 1624, 322, 6110, 910, 510, 18789, 1312, 508, 291, 18, 43128, 1245, 4758, 20449, 309, 3059, 4830, 2665, 651, 9798, 11050, 5439, 2553, 44290, 32652, 651, 502, 282, 3507, 322, 5285, 5832, 722, 14248, 18, 478, 1140, 1710, 22299, 2110, 19833, 3952, 16, 515, 417, 3893, 16, 374, 492, 322, 10222, 1450, 309, 4356, 18, 5454, 16, 678, 289, 2915, 840, 12062, 4694, 294, 22602, 13674, 12252, 1873, 289, 42995, 680, 28169, 582, 16, 515, 371, 803, 678, 5641, 10219, 16, 374, 322, 2027, 3213, 518, 33812, 16, 961, 33407, 1211, 282, 4301, 1360, 27803, 416, 14016, 910, 510, 11836, 3203, 14788, 16040, 7179, 11919, 18, 7075, 2299, 2158, 2438, 3665, 16, 374, 18334, 778, 21253, 4770, 2127, 5841, 454, 309, 4862, 16, 29838, 11385, 1340, 3463, 478, 41342, 7851, 861, 6592, 12821, 653, 8783, 11758, 12213, 16, 15173, 17, 11884, 11750, 286, 613, 26144, 680, 1767, 309, 45011, 37965, 10296, 13663, 266, 2364, 667, 9, 360, 7203, 7619, 1110, 26113, 16, 961, 726, 1589, 12978, 281, 38345, 289, 2820, 20776, 30429, 18, 7409, 282, 34007, 34042, 334, 13976, 309, 31671, 510, 6398, 3612, 3419, 11350, 17, 326, 868, 28799, 19518, 32652, 30, 40131, 7638, 17, 2168, 6926, 2665, 14148, 848, 4364, 4652, 1281, 16, 22, 9, 2954, 18, 1397, 5327, 30490, 4830, 2553, 10403, 9344, 16, 502, 309, 5734, 2083, 505, 24445, 1223, 1760, 16, 21, 9, 26113, 18, 365, 4698, 2845, 15676, 28799, 1038, 9311, 5222, 4623, 478, 18780, 6809, 9383, 30904, 510, 999, 1805, 470, 9543, 18720, 405, 289, 8851, 8099, 7225, 2553, 15626, 5000, 36542, 510, 1533, 9, 289, 1488, 16, 25, 9, 8774, 18, 4756, 6246, 40872, 574, 2145, 334, 4862, 47168, 4059, 9058, 24763, 364, 10839, 2145, 334, 4770, 1703, 5748, 2381, 309, 4862, 18, 889, 4243, 567, 808, 3692, 434, 41575, 486, 18, 824, 505, 3163, 16, 22154, 1055, 322, 8493, 1008, 434, 15465, 282, 27803, 416, 34042, 309, 4862, 16, 453, 428, 2504, 411, 16249, 1055, 322, 2564, 27714, 1939, 9, 27306, 12607, 21385, 18, 478, 30991, 309, 7204, 10649, 2697, 34664, 262, 16, 1085, 5304, 309, 2456, 2463, 18548, 18, 2145, 1747, 6354, 3624, 281, 18198, 7340, 2328, 9272, 536, 21340, 2665, 910, 510, 18789, 13205, 36971, 18, 9418, 281, 867, 16, 6187, 20280, 15168, 2145, 27400, 310, 2839, 487, 267, 2815, 16, 374, 282, 22154, 322, 3893, 282, 25307, 4830, 2665, 10403, 9344, 18, 10470, 291, 931, 10824, 481, 13003, 15467, 1565, 7871, 1183, 294, 26701, 15291, 2675, 289, 25094, 1008, 434, 15465, 309, 45011, 10296, 18, 478, 35485, 647, 3400, 16249, 282, 32712, 16, 9250, 5040, 1565, 7871, 1183, 294, 26701, 15291, 2675, 289, 7814, 1008, 434, 15465, 895, 4751, 1279, 4151, 4830, 289, 2950, 13937, 536, 6574, 2675, 289, 26701, 16632, 1876, 2678, 1841, 10573, 1519, 294, 3285, 2818, 44509, 1347, 552, 16, 1029, 567, 10246, 322, 2753, 811, 281, 25120, 910, 510, 2815, 11998, 18, 640, 5734, 2083, 36153, 2665, 6558, 3064, 4039, 16249, 309, 3059, 4830, 18, 889, 15513, 539, 3400, 6367, 4770, 680, 25678, 282, 3182, 2665, 16, 5923, 391, 26448, 1492, 2, 1, 87, 1456, 81, 2448, 30, 39007, 540, 2873, 1324, 275, 18119, 21285, 16, 1586, 28784, 282, 4729, 15209, 282, 3198, 14016, 19080, 334, 7963, 2594, 9971, 11314, 329, 1791, 432, 6802, 18, 37831, 12797, 2632, 4266, 16, 374, 4703, 46257, 639, 373, 12761, 27143, 18103, 553, 16, 367, 322, 30310, 9971, 11314, 18, 365, 3198, 6569, 22996, 1347, 30121, 322, 687, 1817, 1505, 8219, 4921, 289, 4211, 6328, 16, 515, 289, 40762, 4359, 1254, 18, 31224, 30, 20651, 4551, 10685, 281, 13466, 635, 1175, 1943, 13079, 6730, 281, 18103, 2206, 29480, 2926, 282, 15209, 18, 824, 344, 1357, 13848, 10927, 16, 5389, 4934, 1335, 23652, 16, 11642, 282, 9937, 8624, 6897, 4551, 18182, 43503, 18, 5043, 16, 282, 2231, 399, 19234, 478, 46088, 18, 8381, 470, 322, 13202, 4110, 21492, 5743, 289, 25617, 9190, 7461, 18, 8919, 290, 4096, 281, 5549, 5925, 43991, 1800, 6168, 35675, 360, 45585, 1767, 6363, 365, 1145, 5269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 664, 6425, 16711, 2044, 282, 11379, 18, 967, 803, 9985, 548, 18988, 16, 374, 282, 4884, 1750, 44443, 4830, 2665, 3954, 18436, 13095, 2664, 18, 365, 3507, 45922, 16, 374, 23037, 18334, 718, 24706, 12980, 277, 22755, 2545, 2095, 4186, 2665, 18, 31224, 30, 47223, 488, 3685, 282, 32712, 2665, 309, 10296, 5741, 3990, 11338, 503, 4137, 18334, 778, 282, 1750, 9764, 840, 29828, 29441, 3361, 281, 26150, 289, 651, 282, 4698, 3678, 651, 5245, 11165, 20412, 281, 12984, 1175, 27402, 30012, 18, 1367, 803, 583, 9778, 4848, 309, 9155, 281, 664, 6425, 16711, 2044, 282, 20352, 32422, 26642, 12619, 282, 11379, 18, 1937, 492, 1109, 16, 374, 15279, 15989, 349, 1556, 11738, 281, 30012, 16, 9985, 548, 26645, 30, 322, 15546, 520, 18334, 778, 16, 374, 44443, 4830, 2665, 1011, 978, 3954, 18436, 13095, 2664, 16, 18479, 18347, 5792, 16, 515, 322, 24096, 8264, 20449, 18, 1895, 6486, 6946, 309, 481, 16, 3203, 7920, 6897, 4551, 334, 22647, 9942, 16, 5037, 21433, 22507, 11007, 4210, 1312, 508, 291, 11836, 16, 374, 34839, 6696, 23872, 14561, 2793, 16, 5923, 727, 4742, 18, 478, 1358, 20018, 16, 492, 16560, 2283, 334, 24006, 18, 18334, 2818, 14383, 7005, 11385, 8043, 653, 8783, 18, 1606, 20839, 290, 970, 16, 374, 6174, 2301, 2954, 2665, 3957, 2422, 18, 8859, 3333, 6881, 16, 374, 481, 840, 2628, 4426, 5657, 3707, 47893, 12799, 1508, 18, 18334, 778, 322, 2548, 290, 970, 16, 374, 840, 11291, 1247, 2291, 32562, 427, 19921, 16, 367, 21890, 290, 970, 16, 374, 15279, 12981, 281, 7168, 12984, 16, 753, 17705, 23171, 10784, 289, 6266, 11007, 910, 510, 11836, 11919, 1502, 18, 817, 1038, 5692, 16, 374, 7814, 17198, 9773, 895, 9555, 935, 309, 2507, 18334, 2818, 18, 478, 1140, 18334, 718, 1003, 9773, 16, 515, 371, 803, 289, 1003, 4302, 19872, 44982, 361, 9393, 282, 12384, 18, 608, 1047, 939, 22898, 3806, 1532, 7851, 18, 2320, 1694, 510, 481, 10242, 21385, 2665, 18, 629, 9763, 16, 9099, 10744, 31391, 428, 541, 813, 16, 453, 289, 541, 2665, 18, 1345, 575, 1320, 322, 11843, 2793, 282, 36117, 23940, 16, 322, 11843, 16, 753, 32359, 32963, 18, 1345, 31867, 16, 374, 281, 47637, 21463, 13586, 289, 22397, 1568, 27230, 18, 5181, 16, 14889, 309, 481, 16, 827, 1858, 387, 43404, 2994, 4870, 5084, 4830, 2665, 10403, 65, 9344, 1624, 322, 6110, 910, 510, 18789, 1312, 508, 291, 18, 43128, 1245, 4758, 20449, 309, 3059, 4830, 2665, 651, 9798, 11050, 5439, 2553, 44290, 32652, 651, 502, 282, 3507, 322, 5285, 5832, 722, 14248, 18, 478, 1140, 1710, 22299, 2110, 19833, 3952, 16, 515, 417, 3893, 16, 374, 492, 322, 10222, 1450, 309, 4356, 18, 5454, 16, 678, 289, 2915, 840, 12062, 4694, 294, 22602, 13674, 12252, 1873, 289, 42995, 680, 28169, 582, 16, 515, 371, 803, 678, 5641, 10219, 16, 374, 322, 2027, 3213, 518, 33812, 16, 961, 33407, 1211, 282, 4301, 1360, 27803, 416, 14016, 910, 510, 11836, 3203, 14788, 16040, 7179, 11919, 18, 7075, 2299, 2158, 2438, 3665, 16, 374, 18334, 778, 21253, 4770, 2127, 5841, 454, 309, 4862, 16, 29838, 11385, 1340, 3463, 478, 41342, 7851, 861, 6592, 12821, 653, 8783, 11758, 12213, 16, 15173, 17, 11884, 11750, 286, 613, 26144, 680, 1767, 309, 45011, 37965, 10296, 13663, 266, 2364, 667, 9, 360, 7203, 7619, 1110, 26113, 16, 961, 726, 1589, 12978, 281, 38345, 289, 2820, 20776, 30429, 18, 7409, 282, 34007, 34042, 334, 13976, 309, 31671, 510, 6398, 3612, 3419, 11350, 17, 326, 868, 28799, 19518, 32652, 30, 40131, 7638, 17, 2168, 6926, 2665, 14148, 848, 4364, 4652, 1281, 16, 22, 9, 2954, 18, 1397, 5327, 30490, 4830, 2553, 10403, 9344, 16, 502, 309, 5734, 2083, 505, 24445, 1223, 1760, 16, 21, 9, 26113, 18, 365, 4698, 2845, 15676, 28799, 1038, 9311, 5222, 4623, 478, 18780, 6809, 9383, 30904, 510, 999, 1805, 470, 9543, 18720, 405, 289, 8851, 8099, 7225, 2553, 15626, 5000, 36542, 510, 1533, 9, 289, 1488, 16, 25, 9, 8774, 18, 4756, 6246, 40872, 574, 2145, 334, 4862, 47168, 4059, 9058, 24763, 364, 10839, 2145, 334, 4770, 1703, 5748, 2381, 309, 4862, 18, 889, 4243, 567, 808, 3692, 434, 41575, 486, 18, 824, 505, 3163, 16, 22154, 1055, 322, 8493, 1008, 434, 15465, 282, 27803, 416, 34042, 309, 4862, 16, 453, 428, 2504, 411, 16249, 1055, 322, 2564, 27714, 1939, 9, 27306, 12607, 21385, 18, 478, 30991, 309, 7204, 10649, 2697, 34664, 262, 16, 1085, 5304, 309, 2456, 2463, 18548, 18, 2145, 1747, 6354, 3624, 281, 18198, 7340, 2328, 9272, 536, 21340, 2665, 910, 510, 18789, 13205, 36971, 18, 9418, 281, 867, 16, 6187, 20280, 15168, 2145, 27400, 310, 2839, 487, 267, 2815, 16, 374, 282, 22154, 322, 3893, 282, 25307, 4830, 2665, 10403, 9344, 18, 10470, 291, 931, 10824, 481, 13003, 15467, 1565, 7871, 1183, 294, 26701, 15291, 2675, 289, 25094, 1008, 434, 15465, 309, 45011, 10296, 18, 478, 35485, 647, 3400, 16249, 282, 32712, 16, 9250, 5040, 1565, 7871, 1183, 294, 26701, 15291, 2675, 289, 7814, 1008, 434, 15465, 895, 4751, 1279, 4151, 4830, 289, 2950, 13937, 536, 6574, 2675, 289, 26701, 16632, 1876, 2678, 1841, 10573, 1519, 294, 3285, 2818, 44509, 1347, 552, 16, 1029, 567, 10246, 322, 2753, 811, 281, 25120, 910, 510, 2815, 11998, 18, 640, 5734, 2083, 36153, 2665, 6558, 3064, 4039, 16249, 309, 3059, 4830, 18, 889, 15513, 539, 3400, 6367, 4770, 680, 25678, 282, 3182, 2665, 16, 5923, 391, 26448, 1492, 2, 1, 87, 1456, 81, 2448, 30, 39007, 540, 2873, 1324, 275, 18119, 21285, 16, 1586, 28784, 282, 4729, 15209, 282, 3198, 14016, 19080, 334, 7963, 2594, 9971, 11314, 329, 1791, 432, 6802, 18, 37831, 12797, 2632, 4266, 16, 374, 4703, 46257, 639, 373, 12761, 27143, 18103, 553, 16, 367, 322, 30310, 9971, 11314, 18, 365, 3198, 6569, 22996, 1347, 30121, 322, 687, 1817, 1505, 8219, 4921, 289, 4211, 6328, 16, 515, 289, 40762, 4359, 1254, 18, 31224, 30, 20651, 4551, 10685, 281, 13466, 635, 1175, 1943, 13079, 6730, 281, 18103, 2206, 29480, 2926, 282, 15209, 18, 824, 344, 1357, 13848, 10927, 16, 5389, 4934, 1335, 23652, 16, 11642, 282, 9937, 8624, 6897, 4551, 18182, 43503, 18, 5043, 16, 282, 2231, 399, 19234, 478, 46088, 18, 8381, 470, 322, 13202, 4110, 21492, 5743, 289, 25617, 9190, 7461, 18, 8919, 290, 4096, 281, 5549, 5925, 43991, 1800, 6168, 35675, 360, 45585, 1767, 6363, 365, 1145, 5269 ]
[ 18, 478, 677, 5017, 7314, 10882, 20755, 298, 40624, 755, 8251, 937, 38962, 329, 1540, 1246, 24634, 510, 11113, 1081, 16, 35065, 8709, 282, 45585, 1767, 16, 1029, 31626, 3436, 779, 18, 365, 1169, 21918, 1617, 12056, 474, 21325, 853, 15204, 1562, 16, 329, 8709, 639, 6459, 5096, 2791, 22240, 16, 510, 1109, 492, 18, 510, 365, 3198, 30310, 22773, 8044, 45585, 1767, 2458, 12106, 40909, 411, 6802, 519, 1032, 5096, 2791, 861, 478, 26451, 2003, 13079, 2089, 6730, 428, 2433, 15215, 416, 18103, 553, 18, 5093, 8695, 16, 428, 29001, 34462, 46128, 7057, 8197, 2388, 4465, 910, 510, 1109, 365, 1145, 5269, 18, 14501, 16, 1247, 35675, 6168, 13284, 322, 3113, 451, 18, 3747, 6295, 281, 33560, 3275, 3570, 30310, 353, 9971, 11314, 329, 6802, 3525, 13190, 2829, 309, 3025, 29480, 6829, 16, 3770, 2847, 968, 1223, 678, 856, 977, 1717, 309, 15209, 18, 35067, 2430, 282, 5975, 808, 4336, 364, 3018, 309, 2768, 7893, 1817, 13624, 541, 12466, 33410, 7257, 18, 996, 16, 749, 9971, 11314, 6933, 10902, 282, 39531, 1767, 16, 23181, 10731, 16, 45585, 1767, 16, 15667, 2557, 16, 5649, 426, 18, 967, 803, 912, 14394, 16, 374, 19080, 322, 50032, 309, 478, 36707, 297, 29829, 861, 20405, 16, 3057, 16, 290, 25784, 282, 4803, 2947, 1212, 7191, 13566, 267, 17, 6838, 582, 16, 2789, 22666, 567, 12376, 28589, 6802, 1175, 334, 32613, 22240, 18, 20439, 23140, 1314, 16141, 281, 4590, 2607, 3443, 2466, 4135, 8219, 21051, 18, 1787, 7358, 4135, 334, 21679, 554, 2003, 20533, 3504, 17788, 4076, 322, 2619, 828, 349, 1871, 5576, 16, 6442, 478, 46088, 18, 8381, 470, 282, 7317, 17, 31508, 38081, 3320, 18, 967, 803, 282, 3709, 411, 16149, 4806, 2449, 6802, 16, 329, 1639, 8641, 19080, 21708, 8251, 874, 22773, 16, 30519, 4364, 10902, 45062, 16, 44371, 289, 40878, 680, 18228, 18, 478, 4441, 685, 428, 3275, 2496, 7533, 434, 12734, 16, 37404, 16, 1754, 656, 1745, 322, 23653, 18, 16274, 38098, 1587, 33808, 322, 639, 910, 510, 17684, 478, 46088, 18, 8381, 470, 16908, 22773, 329, 1540, 1246, 24634, 5037, 23611, 5618, 17, 267, 1349, 416, 16040, 45585, 1767, 17397, 41921, 18, 5333, 2175, 16, 19080, 11868, 322, 687, 334, 8219, 21051, 16, 1639, 329, 8709, 282, 9804, 14697, 13134, 414, 2364, 4317, 4500, 2211, 515, 289, 334, 22567, 17635, 395, 18, 824, 3163, 13526, 1767, 11719, 1312, 4474, 1043, 16, 411, 17, 431, 901, 890, 8709, 1810, 1698, 520, 20009, 2364, 1061, 4500, 18, 1135, 18, 824, 25036, 11552, 19080, 16, 282, 1540, 1246, 6838, 582, 1617, 3674, 3043, 8848, 2364, 1032, 10590, 19067, 1562, 18, 824, 4734, 17439, 15310, 7234, 16, 481, 4652, 1409, 384, 2479, 9, 19067, 1562, 289, 26231, 20171, 5791, 18, 478, 48048, 1286, 5096, 2791, 16, 46462, 5942, 7768, 289, 22304, 8219, 21051, 16, 6535, 424, 20129, 910, 510, 1109, 1312, 4474, 609, 18, 478, 25916, 2257, 12272, 16, 961, 7393, 281, 30833, 16, 309, 20545, 3558, 10329, 8396, 16, 3387, 475, 2764, 282, 3196, 464, 18, 2046, 870, 2764, 3005, 2918, 1558, 282, 7433, 36245, 16, 289, 481, 895, 953, 2826, 939, 20928, 5335, 334, 36527, 18, 365, 1177, 2083, 4211, 6328, 3005, 6348, 6549, 309, 28193, 16, 3057, 309, 14283, 552, 17411, 910, 510, 9848, 17397, 41921, 18, 2949, 4135, 8219, 4764, 289, 20171, 282, 1540, 1246, 6838, 582, 16, 334, 3163, 1312, 4474, 1043, 16, 478, 431, 18845, 435, 470, 2364, 9469, 3763, 27526, 4135, 18, 20012, 16, 374, 1992, 7143, 45585, 1767, 4896, 1223, 4317, 5096, 2791, 16, 2764, 870, 541, 1767, 13225, 16953, 18, 5403, 2370, 541, 5649, 1018, 1011, 30310, 22773, 282, 2343, 3802, 329, 11113, 1081, 282, 9804, 8709, 478, 27059, 44689, 470, 1038, 898, 3872, 5644, 345, 25853, 18, 996, 575, 428, 289, 282, 45585, 1767, 16, 1336, 19299, 38020, 18, 478, 4441, 1482, 2696, 5335, 334, 16211, 44208, 1767, 18, 608, 813, 3333, 19299, 16, 282, 970, 2875, 4361, 4825, 37802, 12712, 16, 3279, 656, 18187, 16, 34406, 9917, 548, 309, 26055, 21702, 14167, 18, 12126, 5953, 4500, 18, 7257, 6984, 1122, 12056, 289, 1033, 5259, 4500, 18, 8219, 4764, 473, 1369, 25036, 16, 2764, 8219, 4764, 282, 20172, 23018, 1286, 16, 25, 5096, 2791, 16, 411, 1129, 349, 33649, 3314, 5121, 1032, 16, 26, 5096, 2791, 18, 510, 478, 18386, 18, 8381, 11523, 8919, 16, 2091, 16, 939, 541, 813, 33637, 16, 1548, 374, 41377, 24627, 468, 411, 7234, 1967, 4076, 910, 510, 4437, 4165, 15689, 44208, 1767, 4137, 22120, 5486, 18, 2949, 924, 16, 334, 505, 3163, 16, 282, 20172, 2918, 10575, 29843, 718, 11625, 379, 18, 478, 1140, 813, 10575, 29843, 718, 11625, 379, 16, 1033, 1658, 3763, 2791, 16, 6820, 1122, 16, 510, 1109, 15689, 18, 510, 19613, 14889, 16, 374, 1830, 373, 2301, 1967, 4135, 834, 1555, 861, 967, 803, 16, 334, 3163, 15479, 478, 32485, 18, 8381, 470, 282, 32222, 30000, 16, 282, 20172, 478, 27059, 44689, 470, 906, 47020, 35467, 2301, 27526, 4076, 1767, 16, 2686, 29745, 519, 30310, 22773, 329, 8709, 4137, 22120, 5486, 697, 23009, 18, 5043, 16, 28174, 13156, 481, 14027, 6737, 30, 428, 6442, 282, 37920, 6365, 1767, 16, 7064, 44208, 1767, 322, 1931, 11182, 24544, 9670, 41202, 478, 27059, 44689, 910, 367, 3674, 10059, 1767, 309, 12056, 292, 8709, 322, 3043, 10732, 18, 824, 3163, 12130, 7920, 334, 16211, 421, 8163, 478, 630, 5934, 1175, 470, 14943, 9592, 14740, 16, 4101, 17165, 9971, 11314, 329, 6802, 16590, 939, 15444, 668, 6730, 282, 14025, 16002, 289, 11141, 7321, 428, 282, 15209, 16, 988, 10902, 520, 17091, 9971, 11314, 16, 453, 289, 334, 3025, 1175, 18, 824, 505, 18980, 16, 2301, 7321, 1314, 895, 1139, 16161, 11945, 16, 367, 20495, 2107, 2095, 309, 31048, 505, 1747, 3230, 18, 478, 45066, 4211, 6328, 1314, 15769, 28788, 309, 16495, 282, 11583, 10902, 18, 2046, 282, 1129, 2669, 1003, 22842, 7113, 8468, 16, 367, 27594, 4590, 802, 334, 3429, 1876, 3230, 289, 5693, 294, 697, 35205, 3081, 968, 18, 23976, 16, 481, 2957, 759, 20495, 42877, 16, 961, 745, 282, 15614, 6031, 590, 1163, 766, 309, 17010, 910, 510, 2548, 492, 18, 478, 4670, 38352, 23587, 6569, 19080, 3400, 21030, 6802, 840, 19197, 5009, 4214, 18, 17551, 289, 45754, 4211, 7835, 1600, 1155, 530, 18027, 294, 5549, 3276, 49098, 18, 17935, 16, 282, 1423, 3678, 16, 520, 40363, 19226, 2095, 8138, 16, 374, 17650 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 478, 677, 5017, 7314, 10882, 20755, 298, 40624, 755, 8251, 937, 38962, 329, 1540, 1246, 24634, 510, 11113, 1081, 16, 35065, 8709, 282, 45585, 1767, 16, 1029, 31626, 3436, 779, 18, 365, 1169, 21918, 1617, 12056, 474, 21325, 853, 15204, 1562, 16, 329, 8709, 639, 6459, 5096, 2791, 22240, 16, 510, 1109, 492, 18, 510, 365, 3198, 30310, 22773, 8044, 45585, 1767, 2458, 12106, 40909, 411, 6802, 519, 1032, 5096, 2791, 861, 478, 26451, 2003, 13079, 2089, 6730, 428, 2433, 15215, 416, 18103, 553, 18, 5093, 8695, 16, 428, 29001, 34462, 46128, 7057, 8197, 2388, 4465, 910, 510, 1109, 365, 1145, 5269, 18, 14501, 16, 1247, 35675, 6168, 13284, 322, 3113, 451, 18, 3747, 6295, 281, 33560, 3275, 3570, 30310, 353, 9971, 11314, 329, 6802, 3525, 13190, 2829, 309, 3025, 29480, 6829, 16, 3770, 2847, 968, 1223, 678, 856, 977, 1717, 309, 15209, 18, 35067, 2430, 282, 5975, 808, 4336, 364, 3018, 309, 2768, 7893, 1817, 13624, 541, 12466, 33410, 7257, 18, 996, 16, 749, 9971, 11314, 6933, 10902, 282, 39531, 1767, 16, 23181, 10731, 16, 45585, 1767, 16, 15667, 2557, 16, 5649, 426, 18, 967, 803, 912, 14394, 16, 374, 19080, 322, 50032, 309, 478, 36707, 297, 29829, 861, 20405, 16, 3057, 16, 290, 25784, 282, 4803, 2947, 1212, 7191, 13566, 267, 17, 6838, 582, 16, 2789, 22666, 567, 12376, 28589, 6802, 1175, 334, 32613, 22240, 18, 20439, 23140, 1314, 16141, 281, 4590, 2607, 3443, 2466, 4135, 8219, 21051, 18, 1787, 7358, 4135, 334, 21679, 554, 2003, 20533, 3504, 17788, 4076, 322, 2619, 828, 349, 1871, 5576, 16, 6442, 478, 46088, 18, 8381, 470, 282, 7317, 17, 31508, 38081, 3320, 18, 967, 803, 282, 3709, 411, 16149, 4806, 2449, 6802, 16, 329, 1639, 8641, 19080, 21708, 8251, 874, 22773, 16, 30519, 4364, 10902, 45062, 16, 44371, 289, 40878, 680, 18228, 18, 478, 4441, 685, 428, 3275, 2496, 7533, 434, 12734, 16, 37404, 16, 1754, 656, 1745, 322, 23653, 18, 16274, 38098, 1587, 33808, 322, 639, 910, 510, 17684, 478, 46088, 18, 8381, 470, 16908, 22773, 329, 1540, 1246, 24634, 5037, 23611, 5618, 17, 267, 1349, 416, 16040, 45585, 1767, 17397, 41921, 18, 5333, 2175, 16, 19080, 11868, 322, 687, 334, 8219, 21051, 16, 1639, 329, 8709, 282, 9804, 14697, 13134, 414, 2364, 4317, 4500, 2211, 515, 289, 334, 22567, 17635, 395, 18, 824, 3163, 13526, 1767, 11719, 1312, 4474, 1043, 16, 411, 17, 431, 901, 890, 8709, 1810, 1698, 520, 20009, 2364, 1061, 4500, 18, 1135, 18, 824, 25036, 11552, 19080, 16, 282, 1540, 1246, 6838, 582, 1617, 3674, 3043, 8848, 2364, 1032, 10590, 19067, 1562, 18, 824, 4734, 17439, 15310, 7234, 16, 481, 4652, 1409, 384, 2479, 9, 19067, 1562, 289, 26231, 20171, 5791, 18, 478, 48048, 1286, 5096, 2791, 16, 46462, 5942, 7768, 289, 22304, 8219, 21051, 16, 6535, 424, 20129, 910, 510, 1109, 1312, 4474, 609, 18, 478, 25916, 2257, 12272, 16, 961, 7393, 281, 30833, 16, 309, 20545, 3558, 10329, 8396, 16, 3387, 475, 2764, 282, 3196, 464, 18, 2046, 870, 2764, 3005, 2918, 1558, 282, 7433, 36245, 16, 289, 481, 895, 953, 2826, 939, 20928, 5335, 334, 36527, 18, 365, 1177, 2083, 4211, 6328, 3005, 6348, 6549, 309, 28193, 16, 3057, 309, 14283, 552, 17411, 910, 510, 9848, 17397, 41921, 18, 2949, 4135, 8219, 4764, 289, 20171, 282, 1540, 1246, 6838, 582, 16, 334, 3163, 1312, 4474, 1043, 16, 478, 431, 18845, 435, 470, 2364, 9469, 3763, 27526, 4135, 18, 20012, 16, 374, 1992, 7143, 45585, 1767, 4896, 1223, 4317, 5096, 2791, 16, 2764, 870, 541, 1767, 13225, 16953, 18, 5403, 2370, 541, 5649, 1018, 1011, 30310, 22773, 282, 2343, 3802, 329, 11113, 1081, 282, 9804, 8709, 478, 27059, 44689, 470, 1038, 898, 3872, 5644, 345, 25853, 18, 996, 575, 428, 289, 282, 45585, 1767, 16, 1336, 19299, 38020, 18, 478, 4441, 1482, 2696, 5335, 334, 16211, 44208, 1767, 18, 608, 813, 3333, 19299, 16, 282, 970, 2875, 4361, 4825, 37802, 12712, 16, 3279, 656, 18187, 16, 34406, 9917, 548, 309, 26055, 21702, 14167, 18, 12126, 5953, 4500, 18, 7257, 6984, 1122, 12056, 289, 1033, 5259, 4500, 18, 8219, 4764, 473, 1369, 25036, 16, 2764, 8219, 4764, 282, 20172, 23018, 1286, 16, 25, 5096, 2791, 16, 411, 1129, 349, 33649, 3314, 5121, 1032, 16, 26, 5096, 2791, 18, 510, 478, 18386, 18, 8381, 11523, 8919, 16, 2091, 16, 939, 541, 813, 33637, 16, 1548, 374, 41377, 24627, 468, 411, 7234, 1967, 4076, 910, 510, 4437, 4165, 15689, 44208, 1767, 4137, 22120, 5486, 18, 2949, 924, 16, 334, 505, 3163, 16, 282, 20172, 2918, 10575, 29843, 718, 11625, 379, 18, 478, 1140, 813, 10575, 29843, 718, 11625, 379, 16, 1033, 1658, 3763, 2791, 16, 6820, 1122, 16, 510, 1109, 15689, 18, 510, 19613, 14889, 16, 374, 1830, 373, 2301, 1967, 4135, 834, 1555, 861, 967, 803, 16, 334, 3163, 15479, 478, 32485, 18, 8381, 470, 282, 32222, 30000, 16, 282, 20172, 478, 27059, 44689, 470, 906, 47020, 35467, 2301, 27526, 4076, 1767, 16, 2686, 29745, 519, 30310, 22773, 329, 8709, 4137, 22120, 5486, 697, 23009, 18, 5043, 16, 28174, 13156, 481, 14027, 6737, 30, 428, 6442, 282, 37920, 6365, 1767, 16, 7064, 44208, 1767, 322, 1931, 11182, 24544, 9670, 41202, 478, 27059, 44689, 910, 367, 3674, 10059, 1767, 309, 12056, 292, 8709, 322, 3043, 10732, 18, 824, 3163, 12130, 7920, 334, 16211, 421, 8163, 478, 630, 5934, 1175, 470, 14943, 9592, 14740, 16, 4101, 17165, 9971, 11314, 329, 6802, 16590, 939, 15444, 668, 6730, 282, 14025, 16002, 289, 11141, 7321, 428, 282, 15209, 16, 988, 10902, 520, 17091, 9971, 11314, 16, 453, 289, 334, 3025, 1175, 18, 824, 505, 18980, 16, 2301, 7321, 1314, 895, 1139, 16161, 11945, 16, 367, 20495, 2107, 2095, 309, 31048, 505, 1747, 3230, 18, 478, 45066, 4211, 6328, 1314, 15769, 28788, 309, 16495, 282, 11583, 10902, 18, 2046, 282, 1129, 2669, 1003, 22842, 7113, 8468, 16, 367, 27594, 4590, 802, 334, 3429, 1876, 3230, 289, 5693, 294, 697, 35205, 3081, 968, 18, 23976, 16, 481, 2957, 759, 20495, 42877, 16, 961, 745, 282, 15614, 6031, 590, 1163, 766, 309, 17010, 910, 510, 2548, 492, 18, 478, 4670, 38352, 23587, 6569, 19080, 3400, 21030, 6802, 840, 19197, 5009, 4214, 18, 17551, 289, 45754, 4211, 7835, 1600, 1155, 530, 18027, 294, 5549, 3276, 49098, 18, 17935, 16, 282, 1423, 3678, 16, 520, 40363, 19226, 2095, 8138, 16, 374, 17650 ]
[ 294, 5009, 11188, 7619, 21030, 6802, 289, 39794, 14412, 5117, 282, 15209, 910, 510, 2548, 19518, 17057, 401, 1624, 10344, 30599, 14820, 478, 4298, 26313, 3878, 289, 5337, 4139, 33655, 470, 41744, 7851, 1161, 3463, 478, 682, 1605, 630, 15417, 861, 967, 803, 1978, 1545, 19080, 282, 45585, 1767, 14057, 3599, 17635, 395, 16, 329, 1639, 19903, 326, 12056, 282, 1540, 1246, 6838, 582, 16, 510, 30941, 5942, 7768, 27594, 334, 3429, 582, 1409, 9, 510, 6096, 9592, 14337, 322, 5273, 22842, 7310, 3195, 18, 478, 3096, 10796, 878, 282, 10264, 808, 19519, 26231, 20171, 282, 6138, 22852, 44465, 16, 753, 282, 1750, 30310, 22773, 773, 1038, 6524, 49042, 13659, 343, 16, 510, 2548, 9592, 14337, 18, 510, 1397, 575, 5327, 8369, 19080, 541, 20171, 4823, 27594, 23711, 2918, 973, 25736, 16, 428, 17, 299, 481, 8471, 3872, 7322, 510, 27594, 23711, 21539, 4135, 861, 478, 563, 4947, 4611, 8347, 16959, 289, 12724, 309, 6730, 282, 6802, 1212, 25858, 12466, 587, 4574, 11265, 2161, 307, 3271, 6802, 17, 16076, 301, 1643, 639, 373, 16, 8507, 16, 12839, 27126, 910, 510, 2548, 7974, 1681, 18217, 1051, 16, 7996, 3594, 40311, 12517, 586, 3150, 17, 983, 8112, 18, 478, 4925, 288, 1855, 38962, 670, 2161, 307, 1519, 1791, 451, 7065, 510, 22070, 1247, 16, 1029, 28869, 13466, 635, 1175, 10685, 281, 439, 563, 677, 18, 385, 2059, 1963, 16, 20439, 1175, 1943, 15870, 7957, 16959, 30310, 22773, 309, 2651, 6802, 2127, 6138, 18, 385, 2107, 1963, 16, 20439, 1175, 289, 439, 563, 677, 10685, 44963, 10287, 448, 20495, 11131, 309, 19134, 8219, 21051, 282, 1750, 30310, 22773, 329, 8709, 670, 309, 18103, 1066, 18, 1178, 18103, 783, 541, 439, 563, 677, 840, 23090, 3440, 16, 828, 4982, 28029, 334, 21679, 4304, 16, 670, 4652, 43955, 1755, 277, 281, 1498, 16, 502, 16, 3848, 1223, 16, 840, 7239, 3003, 290, 18103, 553, 2900, 8709, 910, 510, 2548, 19518, 17057, 401, 18, 4406, 10902, 16, 961, 1830, 289, 15373, 22164, 1809, 17036, 16, 515, 3929, 1440, 20863, 23728, 16, 478, 600, 2037, 41659, 16, 753, 43710, 506, 910, 5273, 6729, 415, 3375, 4561, 1624, 7996, 22029, 346, 3594, 24777, 49673, 18942, 18, 478, 14102, 42025, 406, 16, 912, 11963, 289, 1440, 20863, 13713, 10266, 1861, 549, 3785, 16, 35757, 670, 935, 1139, 42283, 3416, 1754, 17650, 294, 20907, 40514, 541, 7234, 18, 5161, 16, 9743, 16, 9558, 549, 670, 34918, 549, 3785, 18, 459, 16, 5501, 406, 16, 9770, 1335, 2241, 10008, 22164, 1809, 17036, 18, 1397, 1513, 2048, 16, 753, 16161, 2089, 5998, 35, 32848, 319, 9743, 16, 14919, 14748, 17, 22649, 477, 9490, 3376, 309, 30863, 6518, 9527, 35, 2387, 16, 1381, 749, 22946, 19220, 1223, 17, 49220, 23113, 9770, 2241, 289, 1110, 16, 1085, 8671, 10008, 22164, 1809, 17036, 910, 510, 10050, 492, 18, 5637, 15389, 478, 32485, 18, 8381, 470, 282, 8334, 14412, 4212, 26406, 1830, 289, 13051, 315, 44963, 5750, 3675, 30183, 19080, 334, 7963, 2594, 9971, 11314, 329, 1791, 432, 6802, 16, 2686, 25156, 16, 374, 38185, 30310, 9971, 11314, 282, 10264, 808, 10225, 373, 478, 960, 24326, 649, 910, 753, 322, 11670, 11839, 18731, 45035, 18, 967, 803, 745, 6881, 16, 374, 16908, 22773, 329, 2567, 6802, 478, 361, 4467, 12839, 27126, 6683, 31791, 697, 294, 599, 2529, 910, 428, 481, 8164, 8851, 5037, 19080, 4210, 43340, 512, 1492, 2, 1, 87, 1456, 81, 2448, 30, 40736, 2042, 778, 9778, 27127, 742, 21094, 285, 6455, 26328, 309, 4119, 13111, 37694, 38293, 9286, 17, 32721, 5039, 8604, 289, 11962, 8751, 15690, 392, 35749, 18, 36901, 7059, 25372, 10824, 867, 16, 374, 282, 4257, 478, 33861, 7802, 5038, 1508, 2516, 861, 31224, 30, 40736, 2042, 778, 9778, 27127, 742, 21094, 285, 1624, 3989, 10193, 334, 5703, 48171, 1467, 4782, 4048, 1501, 345, 282, 43534, 478, 672, 4877, 3817, 910, 6455, 2048, 13111, 37694, 38293, 7802, 5039, 41992, 18, 1367, 803, 492, 4848, 282, 7337, 44132, 16303, 18, 824, 4734, 13531, 17, 11884, 38639, 16, 4119, 478, 1225, 1321, 13693, 27, 470, 282, 4676, 2095, 3502, 460, 936, 2879, 28998, 3708, 17, 32721, 5039, 868, 768, 10374, 35749, 18, 640, 5734, 2083, 678, 1623, 3818, 25545, 8085, 44979, 32201, 4257, 32631, 18, 478, 1916, 10374, 1272, 4570, 906, 282, 29754, 18, 1253, 510, 15736, 41392, 16, 1586, 3207, 373, 1852, 504, 3201, 304, 18, 889, 9026, 9930, 7865, 910, 510, 2815, 21094, 285, 18, 36901, 7059, 9778, 10824, 867, 16, 374, 282, 4257, 478, 33861, 7802, 5038, 1508, 2516, 910, 2391, 3003, 895, 9555, 8252, 3276, 18, 21094, 285, 4848, 16, 374, 23540, 281, 35749, 567, 808, 42326, 9756, 478, 684, 2292, 266, 910, 282, 1754, 5962, 3455, 722, 1292, 16, 9778, 10349, 35749, 18, 14078, 768, 10374, 282, 7337, 33254, 32852, 10703, 16, 374, 939, 478, 29519, 8991, 470, 23579, 21094, 419, 16, 2686, 16926, 16, 374, 282, 10264, 808, 322, 26579, 12631, 1756, 5119, 18, 478, 1358, 322, 3684, 16, 374, 15537, 12468, 24357, 282, 10264, 808, 16, 515, 481, 322, 9650, 2582, 924, 16, 374, 5421, 504, 3201, 895, 953, 7802, 5039, 41992, 910, 510, 10703, 4228, 18, 510, 1345, 726, 6418, 2410, 1269, 5164, 282, 5703, 14582, 16, 282, 502, 808, 428, 4109, 16004, 34613, 1378, 21208, 861, 2949, 924, 16, 768, 10374, 14291, 16, 374, 827, 373, 4119, 24366, 3591, 2107, 12730, 16, 481, 5736, 373, 12879, 649, 8182, 12706, 334, 4547, 8290, 18, 768, 10374, 35749, 2742, 1423, 14261, 282, 4257, 16, 10265, 764, 18441, 16, 2686, 5270, 986, 2158, 567, 808, 13565, 334, 15456, 38496, 16, 6554, 6622, 11320, 40837, 334, 36962, 9005, 18, 7249, 309, 2651, 42373, 622, 6053, 16, 4228, 23581, 8156, 477, 1963, 1634, 12360, 18, 478, 4348, 43667, 334, 17, 11863, 1854, 416, 10878, 16, 289, 656, 11843, 3118, 20382, 6241, 16, 2406, 281, 3279, 31424, 282, 32691, 4096, 18, 1735, 2391, 1490, 475, 3066, 1085, 2406, 281, 4089, 510, 7802, 5039, 868, 16, 14010, 16, 10979, 16, 44783, 3141, 510, 4136, 11950, 16, 827, 475, 4037, 27984, 6025, 309, 2059, 289, 3217, 575, 3705, 16, 510, 15875, 15690, 392, 24409, 18045, 18, 4756, 28794, 478, 24172, 488, 12841, 470, 5002, 26512, 49446, 49582, 282, 7337, 1273, 45367, 9321, 16, 374, 504, 3201, 8633, 18441, 18, 824, 722, 3163, 16, 3888, 13396, 478, 1225, 1321, 13693, 27, 470, 2125, 10030, 18599, 758, 16, 753, 28929, 3005, 40582 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 294, 5009, 11188, 7619, 21030, 6802, 289, 39794, 14412, 5117, 282, 15209, 910, 510, 2548, 19518, 17057, 401, 1624, 10344, 30599, 14820, 478, 4298, 26313, 3878, 289, 5337, 4139, 33655, 470, 41744, 7851, 1161, 3463, 478, 682, 1605, 630, 15417, 861, 967, 803, 1978, 1545, 19080, 282, 45585, 1767, 14057, 3599, 17635, 395, 16, 329, 1639, 19903, 326, 12056, 282, 1540, 1246, 6838, 582, 16, 510, 30941, 5942, 7768, 27594, 334, 3429, 582, 1409, 9, 510, 6096, 9592, 14337, 322, 5273, 22842, 7310, 3195, 18, 478, 3096, 10796, 878, 282, 10264, 808, 19519, 26231, 20171, 282, 6138, 22852, 44465, 16, 753, 282, 1750, 30310, 22773, 773, 1038, 6524, 49042, 13659, 343, 16, 510, 2548, 9592, 14337, 18, 510, 1397, 575, 5327, 8369, 19080, 541, 20171, 4823, 27594, 23711, 2918, 973, 25736, 16, 428, 17, 299, 481, 8471, 3872, 7322, 510, 27594, 23711, 21539, 4135, 861, 478, 563, 4947, 4611, 8347, 16959, 289, 12724, 309, 6730, 282, 6802, 1212, 25858, 12466, 587, 4574, 11265, 2161, 307, 3271, 6802, 17, 16076, 301, 1643, 639, 373, 16, 8507, 16, 12839, 27126, 910, 510, 2548, 7974, 1681, 18217, 1051, 16, 7996, 3594, 40311, 12517, 586, 3150, 17, 983, 8112, 18, 478, 4925, 288, 1855, 38962, 670, 2161, 307, 1519, 1791, 451, 7065, 510, 22070, 1247, 16, 1029, 28869, 13466, 635, 1175, 10685, 281, 439, 563, 677, 18, 385, 2059, 1963, 16, 20439, 1175, 1943, 15870, 7957, 16959, 30310, 22773, 309, 2651, 6802, 2127, 6138, 18, 385, 2107, 1963, 16, 20439, 1175, 289, 439, 563, 677, 10685, 44963, 10287, 448, 20495, 11131, 309, 19134, 8219, 21051, 282, 1750, 30310, 22773, 329, 8709, 670, 309, 18103, 1066, 18, 1178, 18103, 783, 541, 439, 563, 677, 840, 23090, 3440, 16, 828, 4982, 28029, 334, 21679, 4304, 16, 670, 4652, 43955, 1755, 277, 281, 1498, 16, 502, 16, 3848, 1223, 16, 840, 7239, 3003, 290, 18103, 553, 2900, 8709, 910, 510, 2548, 19518, 17057, 401, 18, 4406, 10902, 16, 961, 1830, 289, 15373, 22164, 1809, 17036, 16, 515, 3929, 1440, 20863, 23728, 16, 478, 600, 2037, 41659, 16, 753, 43710, 506, 910, 5273, 6729, 415, 3375, 4561, 1624, 7996, 22029, 346, 3594, 24777, 49673, 18942, 18, 478, 14102, 42025, 406, 16, 912, 11963, 289, 1440, 20863, 13713, 10266, 1861, 549, 3785, 16, 35757, 670, 935, 1139, 42283, 3416, 1754, 17650, 294, 20907, 40514, 541, 7234, 18, 5161, 16, 9743, 16, 9558, 549, 670, 34918, 549, 3785, 18, 459, 16, 5501, 406, 16, 9770, 1335, 2241, 10008, 22164, 1809, 17036, 18, 1397, 1513, 2048, 16, 753, 16161, 2089, 5998, 35, 32848, 319, 9743, 16, 14919, 14748, 17, 22649, 477, 9490, 3376, 309, 30863, 6518, 9527, 35, 2387, 16, 1381, 749, 22946, 19220, 1223, 17, 49220, 23113, 9770, 2241, 289, 1110, 16, 1085, 8671, 10008, 22164, 1809, 17036, 910, 510, 10050, 492, 18, 5637, 15389, 478, 32485, 18, 8381, 470, 282, 8334, 14412, 4212, 26406, 1830, 289, 13051, 315, 44963, 5750, 3675, 30183, 19080, 334, 7963, 2594, 9971, 11314, 329, 1791, 432, 6802, 16, 2686, 25156, 16, 374, 38185, 30310, 9971, 11314, 282, 10264, 808, 10225, 373, 478, 960, 24326, 649, 910, 753, 322, 11670, 11839, 18731, 45035, 18, 967, 803, 745, 6881, 16, 374, 16908, 22773, 329, 2567, 6802, 478, 361, 4467, 12839, 27126, 6683, 31791, 697, 294, 599, 2529, 910, 428, 481, 8164, 8851, 5037, 19080, 4210, 43340, 512, 1492, 2, 1, 87, 1456, 81, 2448, 30, 40736, 2042, 778, 9778, 27127, 742, 21094, 285, 6455, 26328, 309, 4119, 13111, 37694, 38293, 9286, 17, 32721, 5039, 8604, 289, 11962, 8751, 15690, 392, 35749, 18, 36901, 7059, 25372, 10824, 867, 16, 374, 282, 4257, 478, 33861, 7802, 5038, 1508, 2516, 861, 31224, 30, 40736, 2042, 778, 9778, 27127, 742, 21094, 285, 1624, 3989, 10193, 334, 5703, 48171, 1467, 4782, 4048, 1501, 345, 282, 43534, 478, 672, 4877, 3817, 910, 6455, 2048, 13111, 37694, 38293, 7802, 5039, 41992, 18, 1367, 803, 492, 4848, 282, 7337, 44132, 16303, 18, 824, 4734, 13531, 17, 11884, 38639, 16, 4119, 478, 1225, 1321, 13693, 27, 470, 282, 4676, 2095, 3502, 460, 936, 2879, 28998, 3708, 17, 32721, 5039, 868, 768, 10374, 35749, 18, 640, 5734, 2083, 678, 1623, 3818, 25545, 8085, 44979, 32201, 4257, 32631, 18, 478, 1916, 10374, 1272, 4570, 906, 282, 29754, 18, 1253, 510, 15736, 41392, 16, 1586, 3207, 373, 1852, 504, 3201, 304, 18, 889, 9026, 9930, 7865, 910, 510, 2815, 21094, 285, 18, 36901, 7059, 9778, 10824, 867, 16, 374, 282, 4257, 478, 33861, 7802, 5038, 1508, 2516, 910, 2391, 3003, 895, 9555, 8252, 3276, 18, 21094, 285, 4848, 16, 374, 23540, 281, 35749, 567, 808, 42326, 9756, 478, 684, 2292, 266, 910, 282, 1754, 5962, 3455, 722, 1292, 16, 9778, 10349, 35749, 18, 14078, 768, 10374, 282, 7337, 33254, 32852, 10703, 16, 374, 939, 478, 29519, 8991, 470, 23579, 21094, 419, 16, 2686, 16926, 16, 374, 282, 10264, 808, 322, 26579, 12631, 1756, 5119, 18, 478, 1358, 322, 3684, 16, 374, 15537, 12468, 24357, 282, 10264, 808, 16, 515, 481, 322, 9650, 2582, 924, 16, 374, 5421, 504, 3201, 895, 953, 7802, 5039, 41992, 910, 510, 10703, 4228, 18, 510, 1345, 726, 6418, 2410, 1269, 5164, 282, 5703, 14582, 16, 282, 502, 808, 428, 4109, 16004, 34613, 1378, 21208, 861, 2949, 924, 16, 768, 10374, 14291, 16, 374, 827, 373, 4119, 24366, 3591, 2107, 12730, 16, 481, 5736, 373, 12879, 649, 8182, 12706, 334, 4547, 8290, 18, 768, 10374, 35749, 2742, 1423, 14261, 282, 4257, 16, 10265, 764, 18441, 16, 2686, 5270, 986, 2158, 567, 808, 13565, 334, 15456, 38496, 16, 6554, 6622, 11320, 40837, 334, 36962, 9005, 18, 7249, 309, 2651, 42373, 622, 6053, 16, 4228, 23581, 8156, 477, 1963, 1634, 12360, 18, 478, 4348, 43667, 334, 17, 11863, 1854, 416, 10878, 16, 289, 656, 11843, 3118, 20382, 6241, 16, 2406, 281, 3279, 31424, 282, 32691, 4096, 18, 1735, 2391, 1490, 475, 3066, 1085, 2406, 281, 4089, 510, 7802, 5039, 868, 16, 14010, 16, 10979, 16, 44783, 3141, 510, 4136, 11950, 16, 827, 475, 4037, 27984, 6025, 309, 2059, 289, 3217, 575, 3705, 16, 510, 15875, 15690, 392, 24409, 18045, 18, 4756, 28794, 478, 24172, 488, 12841, 470, 5002, 26512, 49446, 49582, 282, 7337, 1273, 45367, 9321, 16, 374, 504, 3201, 8633, 18441, 18, 824, 722, 3163, 16, 3888, 13396, 478, 1225, 1321, 13693, 27, 470, 2125, 10030, 18599, 758, 16, 753, 28929, 3005, 40582 ]
[ 5068, 3531, 16365, 281, 1033, 3968, 5681, 18, 478, 983, 3201, 510, 4322, 18, 889, 16732, 4004, 18, 817, 685, 35132, 428, 4322, 289, 16, 417, 20018, 16, 492, 289, 8633, 18441, 16, 510, 39672, 49446, 49582, 18, 510, 459, 481, 1904, 18, 1345, 322, 15434, 23175, 38815, 4004, 276, 282, 29522, 861, 31309, 276, 290, 970, 16, 1085, 4040, 13357, 504, 3201, 304, 18795, 1011, 924, 16, 428, 30667, 9774, 5703, 30416, 27400, 310, 36606, 297, 2815, 16, 374, 3655, 6793, 16, 1029, 1943, 6863, 282, 25831, 1045, 16, 4040, 541, 1047, 12651, 18, 4756, 2438, 3665, 16, 374, 13205, 20295, 16, 28794, 289, 7459, 4178, 9699, 312, 21800, 454, 324, 486, 16, 10193, 334, 3705, 1195, 9776, 5325, 478, 2176, 793, 3137, 20879, 910, 9540, 5930, 15224, 2706, 17, 295, 2095, 478, 24172, 488, 12841, 861, 1367, 803, 6442, 19279, 267, 1952, 3502, 460, 936, 19209, 1467, 18, 30488, 2612, 289, 5002, 26512, 49446, 49582, 18, 478, 4348, 939, 13392, 28676, 281, 9699, 312, 18, 9051, 505, 4898, 5954, 617, 289, 35077, 755, 1016, 492, 510, 14197, 3260, 541, 13111, 21146, 37694, 38293, 910, 510, 17930, 282, 9907, 282, 43287, 18, 3791, 906, 3696, 2773, 7969, 17978, 8421, 23310, 282, 26834, 510, 678, 2879, 840, 19111, 309, 7658, 6867, 2165, 282, 8078, 15823, 18182, 16, 2418, 3750, 25831, 779, 18, 2667, 978, 11132, 15607, 27328, 2706, 3802, 26155, 17, 361, 18, 365, 11872, 2438, 3665, 16, 374, 21985, 2771, 285, 35350, 18720, 271, 16, 10193, 334, 2733, 359, 18249, 16, 428, 478, 2176, 1481, 426, 470, 1624, 478, 780, 8632, 356, 320, 411, 1946, 335, 348, 470, 1624, 478, 6862, 2868, 6396, 470, 1624, 33404, 281, 965, 20295, 1133, 22141, 411, 17, 431, 478, 9363, 1816, 24891, 6454, 470, 281, 9778, 304, 27400, 39312, 36606, 3924, 1624, 1029, 9988, 38293, 281, 5895, 779, 18, 985, 33060, 26513, 10195, 16, 9774, 10095, 5703, 289, 28794, 5002, 26512, 49446, 49582, 5658, 8258, 37694, 38293, 282, 9878, 12884, 18, 33768, 16, 374, 7865, 3207, 322, 44464, 9440, 4276, 35350, 18720, 1528, 1624, 2391, 492, 5962, 3003, 12848, 1595, 3059, 18, 365, 3998, 3972, 5792, 18157, 290, 970, 16, 374, 6795, 2895, 496, 309, 4119, 40301, 282, 9878, 12884, 290, 21146, 292, 37694, 38293, 895, 1852, 21061, 1602, 17, 14210, 778, 9778, 44843, 5573, 508, 1624, 10193, 334, 5703, 282, 478, 32673, 339, 680, 351, 22249, 314, 1290, 861, 640, 4119, 2887, 38293, 6795, 35412, 5990, 768, 578, 280, 271, 10868, 1624, 17748, 7287, 280, 2895, 1624, 5990, 8474, 488, 289, 25363, 4807, 9060, 807, 1624, 14449, 451, 282, 803, 1045, 3818, 9224, 3276, 18441, 282, 2968, 18, 2, 1, 87, 1456, 81, 2448, 30, 26404, 23566, 4442, 990, 1143, 4135, 309, 18022, 3961, 4862, 289, 15985, 16, 3014, 411, 5115, 10059, 2450, 476, 513, 309, 25831, 31333, 1205, 18, 7758, 309, 478, 28503, 918, 37731, 1175, 470, 23566, 25645, 4843, 11559, 21, 3763, 18, 640, 24552, 6684, 1888, 8768, 2145, 15769, 25645, 282, 25831, 1045, 1033, 4843, 25, 16, 23, 5096, 18, 4756, 28565, 9182, 17665, 4862, 2364, 17427, 3763, 4662, 18, 31224, 30, 26404, 282, 25831, 48311, 1045, 23566, 13342, 24552, 6272, 334, 4483, 1433, 8312, 3599, 34658, 4000, 277, 18, 7810, 8227, 23196, 8312, 3599, 4862, 289, 15985, 1038, 10896, 487, 16, 5130, 282, 17229, 10059, 2450, 43265, 1778, 18, 7758, 541, 8547, 289, 8202, 20072, 24616, 2145, 23566, 25645, 4843, 10590, 3763, 16, 374, 309, 4843, 25, 3763, 1143, 16, 828, 282, 6104, 1045, 18, 640, 2553, 49626, 1290, 2125, 17665, 4843, 6475, 16, 24, 3763, 510, 541, 478, 16010, 4582, 746, 49725, 289, 25182, 1175, 861, 2949, 2665, 289, 15985, 18022, 3961, 360, 2145, 19763, 17715, 1183, 16, 21630, 542, 16, 29517, 289, 30275, 18, 365, 4301, 2992, 4696, 651, 478, 1182, 2738, 440, 2682, 20072, 6684, 470, 510, 12350, 25645, 1033, 4843, 25, 16, 23, 5096, 18, 889, 309, 4843, 6091, 16, 29, 3763, 1143, 16, 828, 15743, 11608, 349, 26155, 31333, 1205, 16, 7622, 20760, 36855, 2145, 18, 6319, 318, 49626, 1290, 19763, 360, 2145, 7431, 4843, 8564, 3763, 510, 282, 2875, 40186, 589, 2155, 6980, 16, 22120, 746, 16, 19278, 542, 16, 11986, 9395, 289, 8402, 342, 18, 1787, 24507, 16, 309, 2553, 41470, 16400, 289, 12654, 20770, 282, 2450, 476, 1035, 6696, 25645, 1033, 4843, 25, 5096, 510, 753, 11203, 281, 46608, 289, 22738, 7412, 392, 18, 15556, 1967, 4076, 895, 953, 4442, 798, 867, 27506, 16, 961, 40704, 4364, 1617, 20024, 289, 38199, 360, 7583, 8312, 6657, 289, 6617, 18, 7758, 309, 4696, 37731, 478, 275, 1921, 1433, 289, 25182, 1175, 470, 12350, 25645, 4843, 11559, 21, 3763, 18, 967, 803, 282, 12500, 4770, 2145, 36176, 28565, 14900, 4958, 5331, 29125, 290, 4442, 763, 4862, 1715, 4843, 40756, 3763, 18, 365, 49709, 2665, 282, 30967, 12002, 16, 374, 16775, 2891, 11534, 2957, 4030, 4162, 15861, 8434, 14769, 4000, 18, 17076, 23740, 434, 10059, 2145, 309, 25831, 1205, 13494, 567, 337, 848, 6965, 289, 14377, 451, 4004, 16, 25482, 46984, 7920, 16653, 26769, 334, 25152, 9543, 1034, 560, 266, 2931, 18, 478, 822, 3359, 4871, 10059, 6048, 17019, 3229, 1223, 541, 1223, 14922, 15948, 16, 13494, 567, 337, 848, 6965, 16, 14377, 451, 4004, 18, 28066, 16, 282, 4698, 3678, 14127, 1279, 2759, 2553, 289, 11612, 910, 510, 5923, 1694, 11919, 1183, 727, 4742, 18, 824, 3163, 20691, 16, 15634, 14600, 309, 23478, 24344, 478, 1225, 16210, 622, 1110, 12917, 16, 5348, 16, 961, 21429, 2145, 861, 4756, 2438, 3665, 16, 374, 4871, 10059, 2145, 309, 25831, 1205, 14782, 15634, 14600, 309, 23478, 309, 1061, 7418, 519, 4843, 27, 3324, 5096, 18, 967, 1838, 5131, 304, 8526, 4684, 8485, 3878, 7739, 16253, 281, 4433, 3197, 2206, 289, 9807, 680, 44543, 9951, 761, 18, 640, 3961, 4310, 27506, 282, 17998, 1290, 1175, 27827, 17665, 4843, 16041, 3763, 18, 12280, 9923, 16, 374, 23740, 451, 7143, 23990, 25045, 309, 26155, 1045, 4896, 4843, 27, 4691, 16, 25, 5096, 289, 1623, 15513, 536, 349, 2651, 5901, 2145, 18, 18592, 4419, 2438, 3665, 16, 374, 25254, 7827, 2232, 24556, 32319, 33492, 35436, 1272, 6015, 3314, 37379, 7663, 478, 19253, 16929, 861, 1367, 803, 8846, 309, 3614, 11413, 18, 985, 13462, 16, 4498, 3419, 290, 3592, 1378, 282, 14595, 1045, 531, 45568, 14553, 1456, 33917, 473, 59, 52, 38, 17, 4234, 6091, 13, 289, 769, 14320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5068, 3531, 16365, 281, 1033, 3968, 5681, 18, 478, 983, 3201, 510, 4322, 18, 889, 16732, 4004, 18, 817, 685, 35132, 428, 4322, 289, 16, 417, 20018, 16, 492, 289, 8633, 18441, 16, 510, 39672, 49446, 49582, 18, 510, 459, 481, 1904, 18, 1345, 322, 15434, 23175, 38815, 4004, 276, 282, 29522, 861, 31309, 276, 290, 970, 16, 1085, 4040, 13357, 504, 3201, 304, 18795, 1011, 924, 16, 428, 30667, 9774, 5703, 30416, 27400, 310, 36606, 297, 2815, 16, 374, 3655, 6793, 16, 1029, 1943, 6863, 282, 25831, 1045, 16, 4040, 541, 1047, 12651, 18, 4756, 2438, 3665, 16, 374, 13205, 20295, 16, 28794, 289, 7459, 4178, 9699, 312, 21800, 454, 324, 486, 16, 10193, 334, 3705, 1195, 9776, 5325, 478, 2176, 793, 3137, 20879, 910, 9540, 5930, 15224, 2706, 17, 295, 2095, 478, 24172, 488, 12841, 861, 1367, 803, 6442, 19279, 267, 1952, 3502, 460, 936, 19209, 1467, 18, 30488, 2612, 289, 5002, 26512, 49446, 49582, 18, 478, 4348, 939, 13392, 28676, 281, 9699, 312, 18, 9051, 505, 4898, 5954, 617, 289, 35077, 755, 1016, 492, 510, 14197, 3260, 541, 13111, 21146, 37694, 38293, 910, 510, 17930, 282, 9907, 282, 43287, 18, 3791, 906, 3696, 2773, 7969, 17978, 8421, 23310, 282, 26834, 510, 678, 2879, 840, 19111, 309, 7658, 6867, 2165, 282, 8078, 15823, 18182, 16, 2418, 3750, 25831, 779, 18, 2667, 978, 11132, 15607, 27328, 2706, 3802, 26155, 17, 361, 18, 365, 11872, 2438, 3665, 16, 374, 21985, 2771, 285, 35350, 18720, 271, 16, 10193, 334, 2733, 359, 18249, 16, 428, 478, 2176, 1481, 426, 470, 1624, 478, 780, 8632, 356, 320, 411, 1946, 335, 348, 470, 1624, 478, 6862, 2868, 6396, 470, 1624, 33404, 281, 965, 20295, 1133, 22141, 411, 17, 431, 478, 9363, 1816, 24891, 6454, 470, 281, 9778, 304, 27400, 39312, 36606, 3924, 1624, 1029, 9988, 38293, 281, 5895, 779, 18, 985, 33060, 26513, 10195, 16, 9774, 10095, 5703, 289, 28794, 5002, 26512, 49446, 49582, 5658, 8258, 37694, 38293, 282, 9878, 12884, 18, 33768, 16, 374, 7865, 3207, 322, 44464, 9440, 4276, 35350, 18720, 1528, 1624, 2391, 492, 5962, 3003, 12848, 1595, 3059, 18, 365, 3998, 3972, 5792, 18157, 290, 970, 16, 374, 6795, 2895, 496, 309, 4119, 40301, 282, 9878, 12884, 290, 21146, 292, 37694, 38293, 895, 1852, 21061, 1602, 17, 14210, 778, 9778, 44843, 5573, 508, 1624, 10193, 334, 5703, 282, 478, 32673, 339, 680, 351, 22249, 314, 1290, 861, 640, 4119, 2887, 38293, 6795, 35412, 5990, 768, 578, 280, 271, 10868, 1624, 17748, 7287, 280, 2895, 1624, 5990, 8474, 488, 289, 25363, 4807, 9060, 807, 1624, 14449, 451, 282, 803, 1045, 3818, 9224, 3276, 18441, 282, 2968, 18, 2, 1, 87, 1456, 81, 2448, 30, 26404, 23566, 4442, 990, 1143, 4135, 309, 18022, 3961, 4862, 289, 15985, 16, 3014, 411, 5115, 10059, 2450, 476, 513, 309, 25831, 31333, 1205, 18, 7758, 309, 478, 28503, 918, 37731, 1175, 470, 23566, 25645, 4843, 11559, 21, 3763, 18, 640, 24552, 6684, 1888, 8768, 2145, 15769, 25645, 282, 25831, 1045, 1033, 4843, 25, 16, 23, 5096, 18, 4756, 28565, 9182, 17665, 4862, 2364, 17427, 3763, 4662, 18, 31224, 30, 26404, 282, 25831, 48311, 1045, 23566, 13342, 24552, 6272, 334, 4483, 1433, 8312, 3599, 34658, 4000, 277, 18, 7810, 8227, 23196, 8312, 3599, 4862, 289, 15985, 1038, 10896, 487, 16, 5130, 282, 17229, 10059, 2450, 43265, 1778, 18, 7758, 541, 8547, 289, 8202, 20072, 24616, 2145, 23566, 25645, 4843, 10590, 3763, 16, 374, 309, 4843, 25, 3763, 1143, 16, 828, 282, 6104, 1045, 18, 640, 2553, 49626, 1290, 2125, 17665, 4843, 6475, 16, 24, 3763, 510, 541, 478, 16010, 4582, 746, 49725, 289, 25182, 1175, 861, 2949, 2665, 289, 15985, 18022, 3961, 360, 2145, 19763, 17715, 1183, 16, 21630, 542, 16, 29517, 289, 30275, 18, 365, 4301, 2992, 4696, 651, 478, 1182, 2738, 440, 2682, 20072, 6684, 470, 510, 12350, 25645, 1033, 4843, 25, 16, 23, 5096, 18, 889, 309, 4843, 6091, 16, 29, 3763, 1143, 16, 828, 15743, 11608, 349, 26155, 31333, 1205, 16, 7622, 20760, 36855, 2145, 18, 6319, 318, 49626, 1290, 19763, 360, 2145, 7431, 4843, 8564, 3763, 510, 282, 2875, 40186, 589, 2155, 6980, 16, 22120, 746, 16, 19278, 542, 16, 11986, 9395, 289, 8402, 342, 18, 1787, 24507, 16, 309, 2553, 41470, 16400, 289, 12654, 20770, 282, 2450, 476, 1035, 6696, 25645, 1033, 4843, 25, 5096, 510, 753, 11203, 281, 46608, 289, 22738, 7412, 392, 18, 15556, 1967, 4076, 895, 953, 4442, 798, 867, 27506, 16, 961, 40704, 4364, 1617, 20024, 289, 38199, 360, 7583, 8312, 6657, 289, 6617, 18, 7758, 309, 4696, 37731, 478, 275, 1921, 1433, 289, 25182, 1175, 470, 12350, 25645, 4843, 11559, 21, 3763, 18, 967, 803, 282, 12500, 4770, 2145, 36176, 28565, 14900, 4958, 5331, 29125, 290, 4442, 763, 4862, 1715, 4843, 40756, 3763, 18, 365, 49709, 2665, 282, 30967, 12002, 16, 374, 16775, 2891, 11534, 2957, 4030, 4162, 15861, 8434, 14769, 4000, 18, 17076, 23740, 434, 10059, 2145, 309, 25831, 1205, 13494, 567, 337, 848, 6965, 289, 14377, 451, 4004, 16, 25482, 46984, 7920, 16653, 26769, 334, 25152, 9543, 1034, 560, 266, 2931, 18, 478, 822, 3359, 4871, 10059, 6048, 17019, 3229, 1223, 541, 1223, 14922, 15948, 16, 13494, 567, 337, 848, 6965, 16, 14377, 451, 4004, 18, 28066, 16, 282, 4698, 3678, 14127, 1279, 2759, 2553, 289, 11612, 910, 510, 5923, 1694, 11919, 1183, 727, 4742, 18, 824, 3163, 20691, 16, 15634, 14600, 309, 23478, 24344, 478, 1225, 16210, 622, 1110, 12917, 16, 5348, 16, 961, 21429, 2145, 861, 4756, 2438, 3665, 16, 374, 4871, 10059, 2145, 309, 25831, 1205, 14782, 15634, 14600, 309, 23478, 309, 1061, 7418, 519, 4843, 27, 3324, 5096, 18, 967, 1838, 5131, 304, 8526, 4684, 8485, 3878, 7739, 16253, 281, 4433, 3197, 2206, 289, 9807, 680, 44543, 9951, 761, 18, 640, 3961, 4310, 27506, 282, 17998, 1290, 1175, 27827, 17665, 4843, 16041, 3763, 18, 12280, 9923, 16, 374, 23740, 451, 7143, 23990, 25045, 309, 26155, 1045, 4896, 4843, 27, 4691, 16, 25, 5096, 289, 1623, 15513, 536, 349, 2651, 5901, 2145, 18, 18592, 4419, 2438, 3665, 16, 374, 25254, 7827, 2232, 24556, 32319, 33492, 35436, 1272, 6015, 3314, 37379, 7663, 478, 19253, 16929, 861, 1367, 803, 8846, 309, 3614, 11413, 18, 985, 13462, 16, 4498, 3419, 290, 3592, 1378, 282, 14595, 1045, 531, 45568, 14553, 1456, 33917, 473, 59, 52, 38, 17, 4234, 6091, 13, 289, 769, 14320 ]
[ 657, 473, 59, 52, 38, 17, 4234, 6568, 814, 967, 803, 309, 17581, 30533, 4770, 2665, 7753, 9344, 18, 365, 1335, 2630, 20203, 4770, 2815, 381, 6681, 2431, 6798, 17, 5350, 718, 41724, 281, 2145, 18, 824, 3163, 4830, 16, 26816, 531, 13954, 4040, 478, 43264, 3348, 10018, 9364, 470, 282, 6681, 2431, 7080, 1251, 17986, 18, 3791, 492, 4725, 16, 374, 2145, 3929, 41006, 2496, 2044, 16, 961, 41172, 18022, 3961, 4862, 18, 478, 19021, 1884, 662, 2145, 16, 282, 970, 2875, 4770, 2145, 16, 3424, 8912, 576, 16, 374, 2650, 2353, 309, 799, 452, 12672, 3018, 289, 15349, 1379, 2593, 18570, 2451, 2152, 282, 30371, 2422, 16, 20854, 289, 18337, 910, 510, 18789, 9344, 18, 365, 1078, 309, 481, 9128, 11050, 7920, 16934, 334, 25152, 289, 3623, 9543, 1034, 560, 266, 2931, 11836, 16, 374, 9344, 35217, 2018, 14720, 349, 1097, 5552, 18, 817, 14676, 2904, 309, 502, 16, 374, 14774, 5939, 38802, 6015, 2906, 37379, 18, 478, 2176, 4862, 2493, 11031, 16, 289, 9344, 9414, 6281, 309, 16356, 44509, 299, 1155, 6929, 29415, 4447, 19110, 567, 32975, 323, 4096, 910, 510, 9848, 11309, 18, 817, 5692, 16, 374, 481, 322, 3419, 309, 4356, 3285, 4287, 18, 2949, 924, 16, 17488, 23925, 2553, 282, 9808, 282, 4675, 808, 3929, 478, 12014, 287, 6150, 861, 2, 1, 87, 1456, 81, 2448, 30, 6706, 1453, 34450, 2145, 12002, 16, 374, 3038, 31988, 360, 29246, 15139, 4047, 290, 8137, 13021, 11924, 289, 14975, 48108, 895, 953, 6377, 536, 541, 23990, 25045, 289, 2141, 1623, 478, 1388, 18149, 21569, 861, 10334, 1441, 16, 334, 3163, 16711, 14971, 16, 3771, 840, 19132, 8052, 30717, 10569, 288, 2594, 19629, 5472, 16, 5076, 1003, 22428, 282, 2968, 18, 31224, 30, 4925, 614, 360, 29246, 15139, 4047, 290, 18531, 8187, 11924, 289, 14975, 48108, 895, 953, 6377, 536, 541, 23990, 25045, 18, 608, 4534, 1003, 13836, 5941, 282, 4161, 547, 8711, 547, 10975, 962, 18, 967, 803, 3771, 12845, 6335, 40744, 360, 3775, 24814, 37647, 2150, 3741, 15646, 8187, 18437, 434, 18264, 2682, 510, 4126, 16, 1029, 4040, 15371, 428, 445, 1011, 8421, 411, 450, 25948, 780, 822, 16, 5301, 2689, 1880, 10958, 23096, 3233, 9908, 22886, 18, 478, 16745, 16, 374, 282, 450, 25948, 780, 822, 1038, 4092, 2365, 28846, 8187, 18437, 434, 18264, 2682, 281, 38971, 4940, 11724, 1082, 16, 322, 25399, 28268, 15717, 567, 808, 505, 31950, 16, 3387, 2174, 5472, 3757, 25399, 34613, 3250, 334, 8823, 294, 2200, 8711, 536, 23693, 395, 18, 740, 18014, 8052, 21251, 6617, 281, 4473, 34997, 2332, 18432, 3193, 726, 289, 1655, 685, 4903, 286, 541, 4729, 910, 510, 29039, 16188, 309, 1694, 1655, 13900, 9539, 4900, 39876, 3875, 11719, 415, 4640, 3340, 18, 740, 1177, 25404, 4523, 18014, 764, 687, 17674, 3118, 31129, 16, 1055, 6888, 282, 45790, 1212, 43498, 281, 8497, 334, 10507, 3142, 289, 23445, 3193, 16711, 20853, 282, 20120, 40673, 16, 29754, 16, 26796, 289, 33657, 322, 23051, 10839, 21669, 8052, 20441, 1440, 289, 478, 488, 5386, 264, 2376, 970, 2563, 275, 523, 861, 31440, 281, 1110, 1326, 25381, 11895, 282, 34113, 2499, 32975, 323, 3416, 2145, 18, 478, 677, 37299, 7583, 8312, 31295, 404, 16, 6489, 4068, 282, 2801, 1045, 16, 5130, 16, 374, 3771, 25599, 8052, 30717, 5472, 428, 39676, 16468, 37961, 11573, 2150, 18, 6682, 37796, 16, 282, 9716, 7475, 25318, 17, 47542, 31295, 318, 1175, 16, 6489, 4068, 282, 7847, 1045, 16, 5130, 30, 478, 563, 21672, 8052, 21251, 6617, 35058, 18491, 1188, 1807, 20619, 6402, 12966, 30, 25944, 9322, 289, 12318, 28348, 6763, 6929, 31665, 10687, 334, 505, 29666, 13842, 43445, 281, 5420, 910, 510, 36366, 282, 1820, 582, 18, 28616, 4437, 10531, 16, 374, 309, 4993, 3531, 289, 40704, 6728, 11517, 289, 47960, 16626, 1441, 21429, 2392, 4603, 516, 46303, 478, 684, 414, 32796, 26942, 510, 5472, 281, 2332, 18432, 3193, 360, 23288, 519, 41491, 8482, 18, 365, 7570, 19410, 6951, 5649, 17, 12555, 289, 5649, 17, 46504, 44848, 17106, 2840, 8187, 323, 26004, 18264, 2682, 768, 17, 37923, 16, 48120, 1754, 4896, 322, 2619, 41491, 8482, 18, 478, 630, 636, 870, 2926, 898, 27603, 1279, 9623, 282, 8144, 18, 18487, 40356, 5472, 7663, 478, 29223, 292, 17, 3899, 320, 292, 622, 470, 541, 9727, 2005, 19410, 5363, 289, 453, 5473, 32377, 16, 6895, 478, 684, 375, 1646, 470, 2988, 9707, 29373, 282, 19473, 16, 2988, 6535, 309, 3227, 669, 2545, 12159, 12526, 18, 5343, 1038, 22644, 18437, 539, 8052, 30717, 5472, 510, 3229, 1223, 16, 37328, 27744, 478, 32356, 27647, 17, 780, 910, 510, 14083, 34450, 16, 46520, 20966, 478, 1388, 18149, 21569, 470, 541, 2145, 18, 365, 11671, 1045, 309, 20319, 4433, 4257, 42346, 3892, 530, 1833, 1871, 37716, 510, 10569, 288, 2594, 6589, 5447, 5862, 8187, 451, 5851, 768, 17, 9247, 780, 22, 478, 684, 375, 1646, 470, 289, 47786, 10569, 10499, 1285, 2232, 1279, 368, 1891, 4938, 549, 17106, 3407, 30349, 478, 3127, 1395, 2499, 470, 816, 49, 5759, 16, 5923, 727, 4742, 18, 22802, 1254, 10569, 288, 2594, 10043, 478, 684, 375, 4583, 470, 10432, 281, 7773, 27079, 5352, 1676, 18437, 448, 4380, 289, 11583, 1195, 833, 448, 11517, 6763, 30, 5447, 2248, 873, 16, 13723, 267, 1952, 16, 46728, 873, 289, 35728, 548, 18, 889, 5447, 5862, 16, 47300, 6965, 6029, 37328, 20141, 13436, 10139, 478, 32356, 27647, 910, 12409, 4651, 541, 18427, 281, 19410, 5363, 5649, 17, 5759, 780, 289, 32377, 44822, 17, 8914, 684, 18, 824, 8331, 16, 7969, 30349, 1623, 322, 17106, 2840, 16, 367, 478, 264, 599, 1491, 20385, 20141, 11593, 14113, 7872, 722, 4202, 16, 2469, 486, 3308, 1533, 384, 2783, 34199, 16, 4360, 1450, 12606, 24446, 27639, 14036, 289, 749, 37514, 33620, 16, 1139, 349, 2948, 16395, 416, 3402, 9269, 9890, 18, 18136, 2629, 451, 9438, 13436, 3621, 309, 13078, 799, 26443, 33207, 16, 281, 5173, 8945, 46263, 18956, 7097, 16, 374, 5073, 722, 3716, 5769, 15549, 8809, 541, 15646, 1440, 28600, 18, 365, 1750, 478, 3127, 1395, 273, 1970, 470, 4498, 3419, 290, 1033, 478, 345, 2070, 490, 416, 470, 8137, 781, 16, 827, 1574, 38263, 305, 15907, 277, 294, 10569, 288, 2594, 523, 825, 49992, 510, 722, 1576, 8518, 7872, 4896, 478, 27958, 1472, 470, 1488, 34199, 18, 2046, 16, 282, 6588, 360, 8187, 434, 15004, 18727, 346, 13429, 16, 3004, 6699, 282, 478, 684, 375, 313, 962, 910, 329, 478 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 657, 473, 59, 52, 38, 17, 4234, 6568, 814, 967, 803, 309, 17581, 30533, 4770, 2665, 7753, 9344, 18, 365, 1335, 2630, 20203, 4770, 2815, 381, 6681, 2431, 6798, 17, 5350, 718, 41724, 281, 2145, 18, 824, 3163, 4830, 16, 26816, 531, 13954, 4040, 478, 43264, 3348, 10018, 9364, 470, 282, 6681, 2431, 7080, 1251, 17986, 18, 3791, 492, 4725, 16, 374, 2145, 3929, 41006, 2496, 2044, 16, 961, 41172, 18022, 3961, 4862, 18, 478, 19021, 1884, 662, 2145, 16, 282, 970, 2875, 4770, 2145, 16, 3424, 8912, 576, 16, 374, 2650, 2353, 309, 799, 452, 12672, 3018, 289, 15349, 1379, 2593, 18570, 2451, 2152, 282, 30371, 2422, 16, 20854, 289, 18337, 910, 510, 18789, 9344, 18, 365, 1078, 309, 481, 9128, 11050, 7920, 16934, 334, 25152, 289, 3623, 9543, 1034, 560, 266, 2931, 11836, 16, 374, 9344, 35217, 2018, 14720, 349, 1097, 5552, 18, 817, 14676, 2904, 309, 502, 16, 374, 14774, 5939, 38802, 6015, 2906, 37379, 18, 478, 2176, 4862, 2493, 11031, 16, 289, 9344, 9414, 6281, 309, 16356, 44509, 299, 1155, 6929, 29415, 4447, 19110, 567, 32975, 323, 4096, 910, 510, 9848, 11309, 18, 817, 5692, 16, 374, 481, 322, 3419, 309, 4356, 3285, 4287, 18, 2949, 924, 16, 17488, 23925, 2553, 282, 9808, 282, 4675, 808, 3929, 478, 12014, 287, 6150, 861, 2, 1, 87, 1456, 81, 2448, 30, 6706, 1453, 34450, 2145, 12002, 16, 374, 3038, 31988, 360, 29246, 15139, 4047, 290, 8137, 13021, 11924, 289, 14975, 48108, 895, 953, 6377, 536, 541, 23990, 25045, 289, 2141, 1623, 478, 1388, 18149, 21569, 861, 10334, 1441, 16, 334, 3163, 16711, 14971, 16, 3771, 840, 19132, 8052, 30717, 10569, 288, 2594, 19629, 5472, 16, 5076, 1003, 22428, 282, 2968, 18, 31224, 30, 4925, 614, 360, 29246, 15139, 4047, 290, 18531, 8187, 11924, 289, 14975, 48108, 895, 953, 6377, 536, 541, 23990, 25045, 18, 608, 4534, 1003, 13836, 5941, 282, 4161, 547, 8711, 547, 10975, 962, 18, 967, 803, 3771, 12845, 6335, 40744, 360, 3775, 24814, 37647, 2150, 3741, 15646, 8187, 18437, 434, 18264, 2682, 510, 4126, 16, 1029, 4040, 15371, 428, 445, 1011, 8421, 411, 450, 25948, 780, 822, 16, 5301, 2689, 1880, 10958, 23096, 3233, 9908, 22886, 18, 478, 16745, 16, 374, 282, 450, 25948, 780, 822, 1038, 4092, 2365, 28846, 8187, 18437, 434, 18264, 2682, 281, 38971, 4940, 11724, 1082, 16, 322, 25399, 28268, 15717, 567, 808, 505, 31950, 16, 3387, 2174, 5472, 3757, 25399, 34613, 3250, 334, 8823, 294, 2200, 8711, 536, 23693, 395, 18, 740, 18014, 8052, 21251, 6617, 281, 4473, 34997, 2332, 18432, 3193, 726, 289, 1655, 685, 4903, 286, 541, 4729, 910, 510, 29039, 16188, 309, 1694, 1655, 13900, 9539, 4900, 39876, 3875, 11719, 415, 4640, 3340, 18, 740, 1177, 25404, 4523, 18014, 764, 687, 17674, 3118, 31129, 16, 1055, 6888, 282, 45790, 1212, 43498, 281, 8497, 334, 10507, 3142, 289, 23445, 3193, 16711, 20853, 282, 20120, 40673, 16, 29754, 16, 26796, 289, 33657, 322, 23051, 10839, 21669, 8052, 20441, 1440, 289, 478, 488, 5386, 264, 2376, 970, 2563, 275, 523, 861, 31440, 281, 1110, 1326, 25381, 11895, 282, 34113, 2499, 32975, 323, 3416, 2145, 18, 478, 677, 37299, 7583, 8312, 31295, 404, 16, 6489, 4068, 282, 2801, 1045, 16, 5130, 16, 374, 3771, 25599, 8052, 30717, 5472, 428, 39676, 16468, 37961, 11573, 2150, 18, 6682, 37796, 16, 282, 9716, 7475, 25318, 17, 47542, 31295, 318, 1175, 16, 6489, 4068, 282, 7847, 1045, 16, 5130, 30, 478, 563, 21672, 8052, 21251, 6617, 35058, 18491, 1188, 1807, 20619, 6402, 12966, 30, 25944, 9322, 289, 12318, 28348, 6763, 6929, 31665, 10687, 334, 505, 29666, 13842, 43445, 281, 5420, 910, 510, 36366, 282, 1820, 582, 18, 28616, 4437, 10531, 16, 374, 309, 4993, 3531, 289, 40704, 6728, 11517, 289, 47960, 16626, 1441, 21429, 2392, 4603, 516, 46303, 478, 684, 414, 32796, 26942, 510, 5472, 281, 2332, 18432, 3193, 360, 23288, 519, 41491, 8482, 18, 365, 7570, 19410, 6951, 5649, 17, 12555, 289, 5649, 17, 46504, 44848, 17106, 2840, 8187, 323, 26004, 18264, 2682, 768, 17, 37923, 16, 48120, 1754, 4896, 322, 2619, 41491, 8482, 18, 478, 630, 636, 870, 2926, 898, 27603, 1279, 9623, 282, 8144, 18, 18487, 40356, 5472, 7663, 478, 29223, 292, 17, 3899, 320, 292, 622, 470, 541, 9727, 2005, 19410, 5363, 289, 453, 5473, 32377, 16, 6895, 478, 684, 375, 1646, 470, 2988, 9707, 29373, 282, 19473, 16, 2988, 6535, 309, 3227, 669, 2545, 12159, 12526, 18, 5343, 1038, 22644, 18437, 539, 8052, 30717, 5472, 510, 3229, 1223, 16, 37328, 27744, 478, 32356, 27647, 17, 780, 910, 510, 14083, 34450, 16, 46520, 20966, 478, 1388, 18149, 21569, 470, 541, 2145, 18, 365, 11671, 1045, 309, 20319, 4433, 4257, 42346, 3892, 530, 1833, 1871, 37716, 510, 10569, 288, 2594, 6589, 5447, 5862, 8187, 451, 5851, 768, 17, 9247, 780, 22, 478, 684, 375, 1646, 470, 289, 47786, 10569, 10499, 1285, 2232, 1279, 368, 1891, 4938, 549, 17106, 3407, 30349, 478, 3127, 1395, 2499, 470, 816, 49, 5759, 16, 5923, 727, 4742, 18, 22802, 1254, 10569, 288, 2594, 10043, 478, 684, 375, 4583, 470, 10432, 281, 7773, 27079, 5352, 1676, 18437, 448, 4380, 289, 11583, 1195, 833, 448, 11517, 6763, 30, 5447, 2248, 873, 16, 13723, 267, 1952, 16, 46728, 873, 289, 35728, 548, 18, 889, 5447, 5862, 16, 47300, 6965, 6029, 37328, 20141, 13436, 10139, 478, 32356, 27647, 910, 12409, 4651, 541, 18427, 281, 19410, 5363, 5649, 17, 5759, 780, 289, 32377, 44822, 17, 8914, 684, 18, 824, 8331, 16, 7969, 30349, 1623, 322, 17106, 2840, 16, 367, 478, 264, 599, 1491, 20385, 20141, 11593, 14113, 7872, 722, 4202, 16, 2469, 486, 3308, 1533, 384, 2783, 34199, 16, 4360, 1450, 12606, 24446, 27639, 14036, 289, 749, 37514, 33620, 16, 1139, 349, 2948, 16395, 416, 3402, 9269, 9890, 18, 18136, 2629, 451, 9438, 13436, 3621, 309, 13078, 799, 26443, 33207, 16, 281, 5173, 8945, 46263, 18956, 7097, 16, 374, 5073, 722, 3716, 5769, 15549, 8809, 541, 15646, 1440, 28600, 18, 365, 1750, 478, 3127, 1395, 273, 1970, 470, 4498, 3419, 290, 1033, 478, 345, 2070, 490, 416, 470, 8137, 781, 16, 827, 1574, 38263, 305, 15907, 277, 294, 10569, 288, 2594, 523, 825, 49992, 510, 722, 1576, 8518, 7872, 4896, 478, 27958, 1472, 470, 1488, 34199, 18, 2046, 16, 282, 6588, 360, 8187, 434, 15004, 18727, 346, 13429, 16, 3004, 6699, 282, 478, 684, 375, 313, 962, 910, 329, 478 ]
[ 3127, 1395, 10352, 470, 17434, 478, 9058, 397, 375, 4139, 3978, 470, 510, 4827, 6779, 16604, 16, 43248, 309, 6902, 635, 3609, 326, 546, 18, 9639, 16604, 12073, 29395, 48120, 13436, 371, 3872, 8660, 432, 34559, 2662, 18, 365, 13186, 6705, 779, 4770, 1175, 4137, 6732, 8052, 22246, 16970, 2848, 8187, 668, 6138, 768, 17, 37923, 16, 1586, 906, 2714, 798, 282, 8144, 18, 824, 3163, 4830, 16, 678, 12523, 6406, 15088, 13273, 32724, 18, 1591, 808, 13516, 8424, 334, 6798, 17, 11110, 10321, 31230, 6732, 29608, 6684, 289, 4480, 2632, 17, 598, 2050, 4764, 8187, 416, 2926, 16, 5923, 391, 26448, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 13324, 15492, 1007, 1272, 20174, 12958, 630, 16, 1639, 39248, 282, 10735, 304, 11949, 763, 289, 14386, 4840, 1939, 17, 11884, 16979, 16, 8641, 424, 10637, 2822, 697, 12441, 451, 5554, 281, 681, 4041, 761, 18, 12958, 630, 13282, 13839, 18071, 26369, 289, 6554, 16, 374, 697, 9704, 478, 488, 328, 402, 1682, 2712, 20688, 14015, 20174, 20286, 5119, 10107, 861, 2877, 29108, 9888, 804, 1707, 307, 7768, 16684, 11969, 1743, 18, 4280, 21969, 12460, 2822, 16144, 16, 374, 6814, 12958, 630, 639, 9208, 18, 31224, 30, 471, 9489, 15008, 1209, 15515, 13631, 9704, 6814, 12958, 630, 1175, 639, 2202, 315, 5689, 402, 1682, 25058, 20688, 14015, 20174, 20286, 5119, 10107, 18, 9046, 746, 22672, 1562, 3929, 322, 4153, 400, 25853, 281, 4313, 1757, 5849, 36391, 5119, 282, 20043, 7233, 10107, 1175, 910, 510, 2815, 12117, 5854, 12958, 630, 4210, 6193, 530, 291, 18, 450, 5232, 6731, 18071, 26369, 16, 1029, 11540, 5426, 3436, 3990, 16, 1314, 8643, 12681, 2928, 35900, 334, 17490, 2818, 17994, 4681, 18, 824, 7475, 14160, 16, 282, 10882, 16, 3703, 3990, 16, 282, 5579, 17, 13825, 1251, 11962, 4496, 16, 3811, 21481, 309, 12441, 547, 21031, 43820, 44861, 532, 281, 681, 4041, 761, 16, 289, 4419, 41426, 773, 41922, 7994, 776, 30940, 3417, 3237, 13013, 18, 35040, 1952, 16, 7571, 448, 29547, 8508, 16, 9996, 4110, 776, 30940, 16, 1011, 1660, 4243, 36213, 8974, 18, 478, 4670, 1627, 275, 42971, 3941, 16, 47682, 45138, 16979, 776, 30940, 411, 4621, 289, 411, 3590, 18, 24685, 303, 39753, 12460, 2822, 282, 1595, 5554, 16, 20320, 37049, 281, 2223, 13631, 18, 2681, 1011, 924, 16, 428, 8811, 22200, 18137, 43820, 44861, 532, 16, 12460, 1779, 281, 31780, 3571, 12915, 685, 14127, 282, 13941, 539, 22718, 910, 510, 5130, 282, 17292, 3781, 17, 40048, 35900, 18, 824, 3761, 41843, 6660, 16, 5826, 20174, 26419, 282, 37144, 2095, 9690, 29, 13040, 473, 7355, 321, 1952, 12958, 630, 289, 18747, 3929, 11962, 4496, 289, 371, 1982, 318, 294, 7417, 1703, 39886, 18, 510, 478, 18386, 18, 8381, 11523, 4663, 16525, 13391, 1055, 322, 41666, 3519, 18, 824, 3761, 478, 32485, 18, 8381, 910, 481, 10344, 12891, 473, 6894, 986, 13, 289, 12891, 473, 4691, 986, 814, 824, 37980, 1779, 510, 1939, 17, 7745, 23613, 439, 807, 14940, 18, 4280, 21969, 439, 807, 29180, 13517, 381, 15369, 7025, 12946, 12958, 630, 360, 48414, 1321, 478, 32485, 18, 8381, 861, 478, 1358, 322, 6388, 764, 381, 803, 16, 510, 1109, 4210, 1034, 2761, 405, 16, 518, 425, 17575, 4879, 439, 807, 29180, 18, 510, 9993, 6814, 12958, 630, 282, 21031, 639, 9208, 18, 24106, 16, 1176, 670, 28310, 16, 670, 6547, 453, 16, 374, 28310, 18, 23613, 1314, 3164, 282, 14154, 18, 3397, 492, 16, 15290, 18284, 16, 282, 17676, 18, 608, 1047, 14440, 17336, 30, 1421, 15831, 264, 16, 959, 7037, 19990, 16, 9209, 296, 9790, 655, 30550, 414, 14492, 16, 3419, 309, 8031, 454, 861, 824, 3163, 1034, 2761, 405, 16, 1939, 17, 7745, 439, 807, 14940, 4652, 1871, 5576, 2158, 9665, 282, 14957, 411, 17710, 24736, 18, 27247, 492, 3508, 1055, 11434, 334, 10856, 309, 1360, 478, 440, 486, 298, 470, 776, 30940, 3417, 473, 10335, 28, 336, 18, 282, 9761, 1548, 374, 1003, 1196, 368, 16, 515, 478, 324, 2480, 755, 505, 11754, 18562, 861, 16539, 1061, 4079, 309, 29176, 4098, 1797, 2294, 5894, 17575, 4879, 2780, 36972, 10979, 43820, 44861, 532, 281, 681, 4041, 761, 16, 7834, 364, 16, 7206, 424, 14663, 18, 23613, 322, 1559, 33191, 30, 309, 8436, 322, 639, 4302, 31398, 342, 5418, 20901, 18, 824, 6819, 1147, 8352, 492, 14839, 14786, 289, 18757, 306, 289, 4848, 290, 4053, 22666, 18, 640, 3709, 411, 19993, 523, 43820, 23014, 5932, 17, 2767, 3971, 776, 30940, 16, 6177, 322, 26008, 749, 20393, 289, 18792, 12285, 18, 1598, 18464, 28232, 281, 681, 4041, 761, 7451, 9208, 16, 44967, 12736, 776, 30940, 16, 8740, 1166, 1087, 547, 665, 16, 1768, 303, 9714, 439, 807, 29180, 282, 1595, 5554, 289, 8325, 326, 282, 4821, 547, 6942, 18, 365, 21834, 4511, 8382, 8720, 16, 411, 17, 431, 2024, 6959, 3637, 17575, 4879, 30, 492, 8641, 424, 1636, 300, 44861, 532, 18, 478, 8244, 5780, 30, 694, 9343, 14, 310, 16, 694, 813, 424, 1636, 300, 16, 971, 1299, 5894, 13038, 905, 16, 694, 1299, 1943, 3610, 2634, 4662, 16, 5780, 16, 374, 1314, 35813, 487, 282, 3157, 16, 475, 808, 25585, 16, 31301, 289, 1858, 25585, 16, 510, 10662, 41962, 439, 807, 29180, 18, 510, 5057, 538, 16, 4818, 16, 374, 9872, 309, 505, 8436, 1252, 297, 8905, 1133, 16, 289, 5658, 36895, 8634, 334, 12058, 5559, 861, 1034, 2761, 405, 14839, 282, 15913, 18, 2949, 924, 16, 2083, 16, 785, 9208, 5164, 38425, 16506, 10431, 282, 43820, 289, 329, 1386, 530, 16, 3189, 4849, 18, 817, 1038, 14839, 282, 15913, 289, 3828, 290, 14386, 4840, 18, 478, 5798, 417, 12985, 309, 1756, 13631, 16, 3837, 309, 29176, 4098, 1797, 2294, 16, 2364, 1642, 4855, 3436, 16, 776, 30940, 17575, 4879, 281, 12567, 2435, 4188, 6425, 18, 12802, 7038, 1272, 279, 19746, 38726, 267, 837, 289, 4849, 470, 510, 2548, 1034, 2761, 405, 18, 824, 505, 3163, 16, 17774, 18137, 43820, 44861, 532, 329, 1642, 4855, 1409, 309, 4625, 21064, 17378, 18, 21203, 4221, 15787, 282, 13908, 17, 295, 2928, 6233, 18, 3026, 10383, 289, 13347, 8982, 31505, 47986, 6814, 12958, 630, 18, 2949, 924, 16, 282, 2928, 9665, 15696, 38635, 26329, 411, 12958, 630, 289, 17602, 27207, 1634, 12946, 18, 889, 639, 2417, 22166, 18, 2046, 6034, 1101, 17774, 26475, 282, 6798, 17, 782, 2696, 2928, 35900, 16, 1029, 2780, 18071, 18, 23979, 1335, 10438, 2125, 22812 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3127, 1395, 10352, 470, 17434, 478, 9058, 397, 375, 4139, 3978, 470, 510, 4827, 6779, 16604, 16, 43248, 309, 6902, 635, 3609, 326, 546, 18, 9639, 16604, 12073, 29395, 48120, 13436, 371, 3872, 8660, 432, 34559, 2662, 18, 365, 13186, 6705, 779, 4770, 1175, 4137, 6732, 8052, 22246, 16970, 2848, 8187, 668, 6138, 768, 17, 37923, 16, 1586, 906, 2714, 798, 282, 8144, 18, 824, 3163, 4830, 16, 678, 12523, 6406, 15088, 13273, 32724, 18, 1591, 808, 13516, 8424, 334, 6798, 17, 11110, 10321, 31230, 6732, 29608, 6684, 289, 4480, 2632, 17, 598, 2050, 4764, 8187, 416, 2926, 16, 5923, 391, 26448, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 13324, 15492, 1007, 1272, 20174, 12958, 630, 16, 1639, 39248, 282, 10735, 304, 11949, 763, 289, 14386, 4840, 1939, 17, 11884, 16979, 16, 8641, 424, 10637, 2822, 697, 12441, 451, 5554, 281, 681, 4041, 761, 18, 12958, 630, 13282, 13839, 18071, 26369, 289, 6554, 16, 374, 697, 9704, 478, 488, 328, 402, 1682, 2712, 20688, 14015, 20174, 20286, 5119, 10107, 861, 2877, 29108, 9888, 804, 1707, 307, 7768, 16684, 11969, 1743, 18, 4280, 21969, 12460, 2822, 16144, 16, 374, 6814, 12958, 630, 639, 9208, 18, 31224, 30, 471, 9489, 15008, 1209, 15515, 13631, 9704, 6814, 12958, 630, 1175, 639, 2202, 315, 5689, 402, 1682, 25058, 20688, 14015, 20174, 20286, 5119, 10107, 18, 9046, 746, 22672, 1562, 3929, 322, 4153, 400, 25853, 281, 4313, 1757, 5849, 36391, 5119, 282, 20043, 7233, 10107, 1175, 910, 510, 2815, 12117, 5854, 12958, 630, 4210, 6193, 530, 291, 18, 450, 5232, 6731, 18071, 26369, 16, 1029, 11540, 5426, 3436, 3990, 16, 1314, 8643, 12681, 2928, 35900, 334, 17490, 2818, 17994, 4681, 18, 824, 7475, 14160, 16, 282, 10882, 16, 3703, 3990, 16, 282, 5579, 17, 13825, 1251, 11962, 4496, 16, 3811, 21481, 309, 12441, 547, 21031, 43820, 44861, 532, 281, 681, 4041, 761, 16, 289, 4419, 41426, 773, 41922, 7994, 776, 30940, 3417, 3237, 13013, 18, 35040, 1952, 16, 7571, 448, 29547, 8508, 16, 9996, 4110, 776, 30940, 16, 1011, 1660, 4243, 36213, 8974, 18, 478, 4670, 1627, 275, 42971, 3941, 16, 47682, 45138, 16979, 776, 30940, 411, 4621, 289, 411, 3590, 18, 24685, 303, 39753, 12460, 2822, 282, 1595, 5554, 16, 20320, 37049, 281, 2223, 13631, 18, 2681, 1011, 924, 16, 428, 8811, 22200, 18137, 43820, 44861, 532, 16, 12460, 1779, 281, 31780, 3571, 12915, 685, 14127, 282, 13941, 539, 22718, 910, 510, 5130, 282, 17292, 3781, 17, 40048, 35900, 18, 824, 3761, 41843, 6660, 16, 5826, 20174, 26419, 282, 37144, 2095, 9690, 29, 13040, 473, 7355, 321, 1952, 12958, 630, 289, 18747, 3929, 11962, 4496, 289, 371, 1982, 318, 294, 7417, 1703, 39886, 18, 510, 478, 18386, 18, 8381, 11523, 4663, 16525, 13391, 1055, 322, 41666, 3519, 18, 824, 3761, 478, 32485, 18, 8381, 910, 481, 10344, 12891, 473, 6894, 986, 13, 289, 12891, 473, 4691, 986, 814, 824, 37980, 1779, 510, 1939, 17, 7745, 23613, 439, 807, 14940, 18, 4280, 21969, 439, 807, 29180, 13517, 381, 15369, 7025, 12946, 12958, 630, 360, 48414, 1321, 478, 32485, 18, 8381, 861, 478, 1358, 322, 6388, 764, 381, 803, 16, 510, 1109, 4210, 1034, 2761, 405, 16, 518, 425, 17575, 4879, 439, 807, 29180, 18, 510, 9993, 6814, 12958, 630, 282, 21031, 639, 9208, 18, 24106, 16, 1176, 670, 28310, 16, 670, 6547, 453, 16, 374, 28310, 18, 23613, 1314, 3164, 282, 14154, 18, 3397, 492, 16, 15290, 18284, 16, 282, 17676, 18, 608, 1047, 14440, 17336, 30, 1421, 15831, 264, 16, 959, 7037, 19990, 16, 9209, 296, 9790, 655, 30550, 414, 14492, 16, 3419, 309, 8031, 454, 861, 824, 3163, 1034, 2761, 405, 16, 1939, 17, 7745, 439, 807, 14940, 4652, 1871, 5576, 2158, 9665, 282, 14957, 411, 17710, 24736, 18, 27247, 492, 3508, 1055, 11434, 334, 10856, 309, 1360, 478, 440, 486, 298, 470, 776, 30940, 3417, 473, 10335, 28, 336, 18, 282, 9761, 1548, 374, 1003, 1196, 368, 16, 515, 478, 324, 2480, 755, 505, 11754, 18562, 861, 16539, 1061, 4079, 309, 29176, 4098, 1797, 2294, 5894, 17575, 4879, 2780, 36972, 10979, 43820, 44861, 532, 281, 681, 4041, 761, 16, 7834, 364, 16, 7206, 424, 14663, 18, 23613, 322, 1559, 33191, 30, 309, 8436, 322, 639, 4302, 31398, 342, 5418, 20901, 18, 824, 6819, 1147, 8352, 492, 14839, 14786, 289, 18757, 306, 289, 4848, 290, 4053, 22666, 18, 640, 3709, 411, 19993, 523, 43820, 23014, 5932, 17, 2767, 3971, 776, 30940, 16, 6177, 322, 26008, 749, 20393, 289, 18792, 12285, 18, 1598, 18464, 28232, 281, 681, 4041, 761, 7451, 9208, 16, 44967, 12736, 776, 30940, 16, 8740, 1166, 1087, 547, 665, 16, 1768, 303, 9714, 439, 807, 29180, 282, 1595, 5554, 289, 8325, 326, 282, 4821, 547, 6942, 18, 365, 21834, 4511, 8382, 8720, 16, 411, 17, 431, 2024, 6959, 3637, 17575, 4879, 30, 492, 8641, 424, 1636, 300, 44861, 532, 18, 478, 8244, 5780, 30, 694, 9343, 14, 310, 16, 694, 813, 424, 1636, 300, 16, 971, 1299, 5894, 13038, 905, 16, 694, 1299, 1943, 3610, 2634, 4662, 16, 5780, 16, 374, 1314, 35813, 487, 282, 3157, 16, 475, 808, 25585, 16, 31301, 289, 1858, 25585, 16, 510, 10662, 41962, 439, 807, 29180, 18, 510, 5057, 538, 16, 4818, 16, 374, 9872, 309, 505, 8436, 1252, 297, 8905, 1133, 16, 289, 5658, 36895, 8634, 334, 12058, 5559, 861, 1034, 2761, 405, 14839, 282, 15913, 18, 2949, 924, 16, 2083, 16, 785, 9208, 5164, 38425, 16506, 10431, 282, 43820, 289, 329, 1386, 530, 16, 3189, 4849, 18, 817, 1038, 14839, 282, 15913, 289, 3828, 290, 14386, 4840, 18, 478, 5798, 417, 12985, 309, 1756, 13631, 16, 3837, 309, 29176, 4098, 1797, 2294, 16, 2364, 1642, 4855, 3436, 16, 776, 30940, 17575, 4879, 281, 12567, 2435, 4188, 6425, 18, 12802, 7038, 1272, 279, 19746, 38726, 267, 837, 289, 4849, 470, 510, 2548, 1034, 2761, 405, 18, 824, 505, 3163, 16, 17774, 18137, 43820, 44861, 532, 329, 1642, 4855, 1409, 309, 4625, 21064, 17378, 18, 21203, 4221, 15787, 282, 13908, 17, 295, 2928, 6233, 18, 3026, 10383, 289, 13347, 8982, 31505, 47986, 6814, 12958, 630, 18, 2949, 924, 16, 282, 2928, 9665, 15696, 38635, 26329, 411, 12958, 630, 289, 17602, 27207, 1634, 12946, 18, 889, 639, 2417, 22166, 18, 2046, 6034, 1101, 17774, 26475, 282, 6798, 17, 782, 2696, 2928, 35900, 16, 1029, 2780, 18071, 18, 23979, 1335, 10438, 2125, 22812 ]
[ 3633, 309, 17032, 18, 12725, 334, 2222, 16, 374, 1530, 273, 12958, 630, 3508, 15492, 649, 1634, 6814, 16, 697, 8232, 11969, 1743, 18, 985, 16801, 2712, 697, 45917, 13391, 16, 1055, 42031, 18, 1178, 16789, 12430, 24347, 42004, 16, 29108, 24382, 12958, 630, 942, 584, 24145, 2168, 1519, 7893, 1817, 12303, 11828, 30, 34037, 9626, 4284, 468, 16021, 23292, 16, 21912, 265, 16, 14386, 2357, 1631, 16, 20889, 46627, 16, 24301, 1041, 6135, 18, 2949, 924, 16, 1055, 322, 21523, 12902, 11202, 18473, 16, 17164, 11817, 282, 21031, 18, 46954, 16, 898, 520, 20320, 282, 1003, 1636, 7237, 4349, 18, 478, 1358, 322, 2060, 16, 7331, 448, 745, 898, 670, 1003, 16, 510, 10662, 1034, 2761, 405, 18, 510, 16540, 16, 374, 1003, 18, 740, 641, 16235, 12091, 773, 322, 10063, 16, 1548, 374, 745, 12362, 47986, 18, 1591, 808, 1335, 3182, 23613, 9724, 17913, 16, 3018, 289, 1110, 513, 7712, 18, 1303, 481, 639, 2031, 1569, 282, 9342, 4368, 12957, 454, 18, 1345, 30795, 14327, 313, 1275, 16, 1379, 383, 973, 6549, 309, 3499, 17575, 4879, 439, 807, 29180, 16, 9078, 697, 349, 33804, 861, 2, 1, 87, 1456, 81, 2448, 30, 22681, 2665, 7753, 9344, 2815, 16, 374, 12181, 9945, 16207, 1519, 13013, 282, 14039, 1623, 478, 431, 21747, 548, 2235, 470, 8535, 281, 9609, 18, 824, 505, 3163, 16, 309, 3025, 2923, 5791, 16, 6895, 43013, 448, 21457, 281, 9609, 16, 2003, 23826, 33316, 2257, 3402, 9085, 18, 1563, 10502, 23024, 4137, 415, 1476, 742, 282, 1078, 309, 481, 2815, 16, 374, 4770, 3957, 21336, 1558, 9085, 282, 30854, 344, 16, 3387, 7727, 322, 895, 9078, 6457, 1195, 12799, 3032, 3319, 9640, 18, 31224, 30, 3096, 10796, 878, 23826, 33316, 1275, 9085, 309, 3025, 2923, 19921, 16, 6895, 322, 16868, 823, 344, 975, 1382, 48837, 12127, 1175, 281, 30779, 29330, 16428, 289, 20934, 2152, 758, 7135, 1082, 18, 1367, 803, 2815, 4770, 2665, 7753, 9344, 334, 8872, 11738, 281, 9444, 7597, 282, 40315, 18, 478, 1358, 9763, 16, 374, 8970, 3971, 8830, 6730, 2994, 2499, 399, 2798, 266, 282, 14039, 65, 510, 481, 349, 21747, 5466, 322, 16868, 823, 7964, 516, 2301, 3285, 1602, 17, 13776, 680, 8535, 289, 9193, 15230, 44028, 27480, 18, 5343, 2879, 20131, 309, 25033, 424, 30430, 496, 9085, 1269, 13674, 1809, 33316, 1873, 6053, 309, 3025, 2923, 19921, 16, 6895, 322, 16868, 823, 7964, 516, 2301, 8535, 281, 9609, 910, 510, 2815, 9344, 18, 2949, 924, 16, 20203, 5037, 282, 6940, 445, 12679, 281, 9130, 7237, 294, 19790, 7597, 478, 28277, 1855, 11440, 309, 6551, 910, 367, 1038, 11011, 6997, 46782, 478, 19386, 451, 6469, 510, 491, 910, 1029, 492, 5273, 478, 7122, 11034, 6327, 886, 536, 470, 541, 7597, 18, 817, 5692, 16, 374, 6980, 26579, 8538, 309, 9874, 7272, 16, 753, 11011, 31545, 46782, 18, 967, 803, 5037, 26642, 7067, 36176, 5649, 328, 309, 9155, 281, 9344, 2815, 16, 374, 7597, 32033, 12606, 6159, 4314, 41799, 289, 20383, 48313, 2665, 289, 322, 26136, 478, 363, 12090, 5133, 470, 11007, 289, 32880, 18, 478, 3096, 4512, 656, 4473, 7282, 6656, 1562, 16, 3279, 4092, 2365, 30546, 282, 37038, 5508, 18, 889, 4243, 1011, 924, 16, 428, 309, 8773, 1212, 34162, 898, 29346, 4770, 1133, 11031, 289, 639, 44676, 7955, 27801, 928, 718, 473, 41619, 718, 510, 478, 18386, 18, 8381, 9979, 16771, 749, 34743, 281, 23245, 910, 510, 3828, 5649, 328, 18, 365, 2343, 4209, 978, 779, 7753, 9344, 2815, 16, 374, 37647, 2235, 1269, 13674, 1809, 33316, 1873, 17750, 282, 9085, 1623, 3818, 32396, 6929, 15974, 2422, 282, 9804, 18, 478, 14102, 16467, 334, 17750, 282, 14039, 510, 481, 289, 3971, 294, 8290, 16, 289, 18757, 309, 11429, 622, 43089, 21569, 18, 1178, 5343, 3957, 2422, 16, 502, 1215, 541, 1129, 9700, 31129, 481, 4547, 8290, 910, 510, 6463, 492, 309, 1360, 7759, 282, 469, 40484, 18, 38232, 17, 476, 3252, 266, 23111, 13392, 289, 25656, 742, 4137, 415, 1476, 742, 5273, 16, 374, 9344, 9280, 29913, 309, 8922, 263, 33316, 1275, 309, 2651, 9482, 19921, 360, 27335, 18, 1895, 3490, 13013, 309, 14656, 2553, 19336, 6929, 4385, 16, 3387, 33035, 10169, 2792, 1891, 5622, 8140, 289, 322, 3957, 18915, 16, 41988, 415, 1476, 742, 18, 478, 672, 762, 6264, 3957, 21336, 1558, 282, 2089, 30854, 344, 45384, 25961, 510, 1215, 289, 8123, 15333, 33316, 1275, 322, 334, 5625, 46332, 1489, 16, 753, 971, 6330, 1248, 478, 48238, 27005, 470, 6029, 4693, 424, 6457, 2651, 9482, 18, 3771, 2548, 30, 13736, 464, 281, 12799, 3032, 16, 281, 10836, 16, 1085, 1122, 7118, 510, 22806, 520, 745, 309, 1574, 6029, 35, 32359, 322, 12557, 16, 367, 6980, 322, 3957, 5245, 26301, 9744, 510, 1215, 289, 30678, 18, 740, 9344, 2003, 20539, 478, 1567, 13090, 1855, 474, 11444, 910, 753, 20166, 16, 1030, 16, 687, 3771, 1279, 18, 981, 3771, 322, 1279, 510, 3771, 322, 8493, 282, 803, 9084, 281, 4947, 4611, 4075, 11220, 910, 510, 7332, 1694, 415, 1476, 837, 6653, 6122, 1171, 35442, 18, 817, 1038, 29230, 16, 374, 749, 10326, 44028, 27480, 322, 895, 953, 289, 8180, 290, 3599, 33316, 1816, 1333, 18, 824, 505, 4734, 16, 912, 11165, 3971, 294, 15166, 3860, 19921, 16, 515, 7727, 322, 3957, 975, 17168, 18, 478, 5786, 911, 3162, 44028, 27480, 16, 14909, 35189, 16, 18210, 26757, 510, 481, 11165, 3971, 294, 15166, 6356, 18, 439, 827, 22776, 318, 510, 3554, 927, 18, 32359, 687, 1655, 26136, 20336, 5494, 16, 785, 678, 840, 14830, 5245, 26301, 9744, 281, 13586, 289, 22397, 910, 510, 5273, 415, 1476, 742, 18, 29976, 755, 360, 6664, 8773, 16, 3203, 7920, 6897, 4551, 334, 22647, 9942, 4210, 1312, 508, 291, 8566, 5010, 1116, 7059, 9344, 334, 478, 412, 10385, 548, 10985, 470, 8535, 281, 9609, 18, 817, 11836, 16, 374, 2089, 12961, 4385, 21001, 309, 11204, 16, 289, 9344, 5641, 481, 6344, 305, 18, 29976, 755, 1038, 14676, 2904, 309, 502, 16, 374, 33316, 873, 1698, 11246, 309, 9482, 19921, 687, 334, 44899, 280, 1147, 2618, 5133, 13013, 3920, 4546, 16, 367, 2862, 16, 17126, 2089, 12961, 2993, 282, 970, 2875, 9770, 13586, 289, 22397, 18, 2949, 924, 16, 9085, 2879, 6341, 6746, 1519, 8922, 33316, 2160, 38459, 1321, 282, 32359, 18, 2255, 2361, 411, 1967, 8468, 322, 895, 953, 41096, 282, 7623, 2083, 16, 289, 20203, 4770, 481, 10219, 16, 3893, 1312, 508 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3633, 309, 17032, 18, 12725, 334, 2222, 16, 374, 1530, 273, 12958, 630, 3508, 15492, 649, 1634, 6814, 16, 697, 8232, 11969, 1743, 18, 985, 16801, 2712, 697, 45917, 13391, 16, 1055, 42031, 18, 1178, 16789, 12430, 24347, 42004, 16, 29108, 24382, 12958, 630, 942, 584, 24145, 2168, 1519, 7893, 1817, 12303, 11828, 30, 34037, 9626, 4284, 468, 16021, 23292, 16, 21912, 265, 16, 14386, 2357, 1631, 16, 20889, 46627, 16, 24301, 1041, 6135, 18, 2949, 924, 16, 1055, 322, 21523, 12902, 11202, 18473, 16, 17164, 11817, 282, 21031, 18, 46954, 16, 898, 520, 20320, 282, 1003, 1636, 7237, 4349, 18, 478, 1358, 322, 2060, 16, 7331, 448, 745, 898, 670, 1003, 16, 510, 10662, 1034, 2761, 405, 18, 510, 16540, 16, 374, 1003, 18, 740, 641, 16235, 12091, 773, 322, 10063, 16, 1548, 374, 745, 12362, 47986, 18, 1591, 808, 1335, 3182, 23613, 9724, 17913, 16, 3018, 289, 1110, 513, 7712, 18, 1303, 481, 639, 2031, 1569, 282, 9342, 4368, 12957, 454, 18, 1345, 30795, 14327, 313, 1275, 16, 1379, 383, 973, 6549, 309, 3499, 17575, 4879, 439, 807, 29180, 16, 9078, 697, 349, 33804, 861, 2, 1, 87, 1456, 81, 2448, 30, 22681, 2665, 7753, 9344, 2815, 16, 374, 12181, 9945, 16207, 1519, 13013, 282, 14039, 1623, 478, 431, 21747, 548, 2235, 470, 8535, 281, 9609, 18, 824, 505, 3163, 16, 309, 3025, 2923, 5791, 16, 6895, 43013, 448, 21457, 281, 9609, 16, 2003, 23826, 33316, 2257, 3402, 9085, 18, 1563, 10502, 23024, 4137, 415, 1476, 742, 282, 1078, 309, 481, 2815, 16, 374, 4770, 3957, 21336, 1558, 9085, 282, 30854, 344, 16, 3387, 7727, 322, 895, 9078, 6457, 1195, 12799, 3032, 3319, 9640, 18, 31224, 30, 3096, 10796, 878, 23826, 33316, 1275, 9085, 309, 3025, 2923, 19921, 16, 6895, 322, 16868, 823, 344, 975, 1382, 48837, 12127, 1175, 281, 30779, 29330, 16428, 289, 20934, 2152, 758, 7135, 1082, 18, 1367, 803, 2815, 4770, 2665, 7753, 9344, 334, 8872, 11738, 281, 9444, 7597, 282, 40315, 18, 478, 1358, 9763, 16, 374, 8970, 3971, 8830, 6730, 2994, 2499, 399, 2798, 266, 282, 14039, 65, 510, 481, 349, 21747, 5466, 322, 16868, 823, 7964, 516, 2301, 3285, 1602, 17, 13776, 680, 8535, 289, 9193, 15230, 44028, 27480, 18, 5343, 2879, 20131, 309, 25033, 424, 30430, 496, 9085, 1269, 13674, 1809, 33316, 1873, 6053, 309, 3025, 2923, 19921, 16, 6895, 322, 16868, 823, 7964, 516, 2301, 8535, 281, 9609, 910, 510, 2815, 9344, 18, 2949, 924, 16, 20203, 5037, 282, 6940, 445, 12679, 281, 9130, 7237, 294, 19790, 7597, 478, 28277, 1855, 11440, 309, 6551, 910, 367, 1038, 11011, 6997, 46782, 478, 19386, 451, 6469, 510, 491, 910, 1029, 492, 5273, 478, 7122, 11034, 6327, 886, 536, 470, 541, 7597, 18, 817, 5692, 16, 374, 6980, 26579, 8538, 309, 9874, 7272, 16, 753, 11011, 31545, 46782, 18, 967, 803, 5037, 26642, 7067, 36176, 5649, 328, 309, 9155, 281, 9344, 2815, 16, 374, 7597, 32033, 12606, 6159, 4314, 41799, 289, 20383, 48313, 2665, 289, 322, 26136, 478, 363, 12090, 5133, 470, 11007, 289, 32880, 18, 478, 3096, 4512, 656, 4473, 7282, 6656, 1562, 16, 3279, 4092, 2365, 30546, 282, 37038, 5508, 18, 889, 4243, 1011, 924, 16, 428, 309, 8773, 1212, 34162, 898, 29346, 4770, 1133, 11031, 289, 639, 44676, 7955, 27801, 928, 718, 473, 41619, 718, 510, 478, 18386, 18, 8381, 9979, 16771, 749, 34743, 281, 23245, 910, 510, 3828, 5649, 328, 18, 365, 2343, 4209, 978, 779, 7753, 9344, 2815, 16, 374, 37647, 2235, 1269, 13674, 1809, 33316, 1873, 17750, 282, 9085, 1623, 3818, 32396, 6929, 15974, 2422, 282, 9804, 18, 478, 14102, 16467, 334, 17750, 282, 14039, 510, 481, 289, 3971, 294, 8290, 16, 289, 18757, 309, 11429, 622, 43089, 21569, 18, 1178, 5343, 3957, 2422, 16, 502, 1215, 541, 1129, 9700, 31129, 481, 4547, 8290, 910, 510, 6463, 492, 309, 1360, 7759, 282, 469, 40484, 18, 38232, 17, 476, 3252, 266, 23111, 13392, 289, 25656, 742, 4137, 415, 1476, 742, 5273, 16, 374, 9344, 9280, 29913, 309, 8922, 263, 33316, 1275, 309, 2651, 9482, 19921, 360, 27335, 18, 1895, 3490, 13013, 309, 14656, 2553, 19336, 6929, 4385, 16, 3387, 33035, 10169, 2792, 1891, 5622, 8140, 289, 322, 3957, 18915, 16, 41988, 415, 1476, 742, 18, 478, 672, 762, 6264, 3957, 21336, 1558, 282, 2089, 30854, 344, 45384, 25961, 510, 1215, 289, 8123, 15333, 33316, 1275, 322, 334, 5625, 46332, 1489, 16, 753, 971, 6330, 1248, 478, 48238, 27005, 470, 6029, 4693, 424, 6457, 2651, 9482, 18, 3771, 2548, 30, 13736, 464, 281, 12799, 3032, 16, 281, 10836, 16, 1085, 1122, 7118, 510, 22806, 520, 745, 309, 1574, 6029, 35, 32359, 322, 12557, 16, 367, 6980, 322, 3957, 5245, 26301, 9744, 510, 1215, 289, 30678, 18, 740, 9344, 2003, 20539, 478, 1567, 13090, 1855, 474, 11444, 910, 753, 20166, 16, 1030, 16, 687, 3771, 1279, 18, 981, 3771, 322, 1279, 510, 3771, 322, 8493, 282, 803, 9084, 281, 4947, 4611, 4075, 11220, 910, 510, 7332, 1694, 415, 1476, 837, 6653, 6122, 1171, 35442, 18, 817, 1038, 29230, 16, 374, 749, 10326, 44028, 27480, 322, 895, 953, 289, 8180, 290, 3599, 33316, 1816, 1333, 18, 824, 505, 4734, 16, 912, 11165, 3971, 294, 15166, 3860, 19921, 16, 515, 7727, 322, 3957, 975, 17168, 18, 478, 5786, 911, 3162, 44028, 27480, 16, 14909, 35189, 16, 18210, 26757, 510, 481, 11165, 3971, 294, 15166, 6356, 18, 439, 827, 22776, 318, 510, 3554, 927, 18, 32359, 687, 1655, 26136, 20336, 5494, 16, 785, 678, 840, 14830, 5245, 26301, 9744, 281, 13586, 289, 22397, 910, 510, 5273, 415, 1476, 742, 18, 29976, 755, 360, 6664, 8773, 16, 3203, 7920, 6897, 4551, 334, 22647, 9942, 4210, 1312, 508, 291, 8566, 5010, 1116, 7059, 9344, 334, 478, 412, 10385, 548, 10985, 470, 8535, 281, 9609, 18, 817, 11836, 16, 374, 2089, 12961, 4385, 21001, 309, 11204, 16, 289, 9344, 5641, 481, 6344, 305, 18, 29976, 755, 1038, 14676, 2904, 309, 502, 16, 374, 33316, 873, 1698, 11246, 309, 9482, 19921, 687, 334, 44899, 280, 1147, 2618, 5133, 13013, 3920, 4546, 16, 367, 2862, 16, 17126, 2089, 12961, 2993, 282, 970, 2875, 9770, 13586, 289, 22397, 18, 2949, 924, 16, 9085, 2879, 6341, 6746, 1519, 8922, 33316, 2160, 38459, 1321, 282, 32359, 18, 2255, 2361, 411, 1967, 8468, 322, 895, 953, 41096, 282, 7623, 2083, 16, 289, 20203, 4770, 481, 10219, 16, 3893, 1312, 508 ]
[ 291, 18, 478, 1009, 13381, 1162, 6888, 510, 481, 4836, 22774, 29415, 9344, 329, 2891, 18, 985, 687, 6888, 20372, 16, 492, 322, 687, 840, 43600, 286, 360, 2891, 16, 417, 3684, 16, 492, 840, 6244, 928, 294, 34814, 8217, 349, 475, 518, 45917, 16, 961, 898, 2219, 1007, 334, 505, 21150, 16, 349, 16619, 2634, 26113, 910, 510, 18789, 4210, 1312, 508, 291, 282, 27561, 281, 727, 4742, 18, 365, 11130, 7847, 779, 5343, 16643, 23826, 33316, 1275, 9085, 309, 5625, 46332, 1489, 1251, 23245, 289, 30779, 29330, 16428, 289, 20934, 2152, 758, 7135, 1082, 18, 2450, 43265, 2272, 2145, 289, 18347, 2891, 19341, 349, 25033, 1333, 9085, 309, 3025, 2923, 19921, 16, 282, 970, 2875, 510, 309, 13078, 281, 9609, 18, 2949, 924, 16, 7727, 7220, 14090, 33316, 4287, 9085, 4289, 22228, 22141, 18, 24295, 11896, 1624, 282, 1423, 3678, 16, 11836, 309, 502, 16, 374, 5343, 9013, 18582, 8922, 33316, 1275, 282, 32359, 687, 282, 22668, 44028, 35664, 510, 4686, 5848, 33532, 306, 16, 2512, 15333, 282, 8183, 1568, 381, 42719, 31964, 5791, 289, 39327, 870, 9047, 282, 14774, 35189, 18, 2949, 924, 16, 5938, 1524, 1703, 11418, 277, 16, 15333, 33316, 4846, 36188, 309, 9482, 19921, 942, 687, 281, 9959, 22397, 289, 13586, 16, 11451, 11466, 1166, 282, 32094, 18, 2, 1, 87, 1456, 81, 2448, 30, 14842, 420, 1159, 3918, 1528, 36937, 390, 2594, 7968, 925, 13034, 276, 33756, 638, 274, 567, 808, 42326, 4696, 478, 15883, 5475, 910, 46505, 5880, 306, 5696, 14457, 18, 824, 5501, 954, 3453, 40994, 16, 9402, 978, 1559, 23561, 3359, 282, 16248, 29430, 509, 8889, 16, 1029, 14306, 37329, 4846, 19801, 18, 31224, 30, 25479, 549, 9631, 11287, 3875, 19131, 36937, 15360, 12026, 3455, 282, 10276, 1165, 4696, 478, 15883, 5475, 910, 46505, 5880, 306, 5696, 14457, 18, 824, 3352, 10195, 478, 27024, 6482, 742, 910, 30927, 282, 1851, 17, 299, 2083, 2742, 47534, 506, 18, 37767, 16, 374, 4686, 36937, 15360, 24256, 977, 309, 734, 1979, 282, 23778, 16, 678, 48821, 3128, 16, 515, 481, 322, 24065, 18, 13925, 7134, 15661, 33756, 638, 274, 289, 12543, 12625, 451, 47214, 18, 824, 3163, 3453, 40994, 16, 481, 1698, 953, 23996, 18513, 2893, 18, 478, 1358, 5404, 39174, 2704, 519, 3915, 16, 515, 322, 2447, 30, 24188, 1719, 411, 17, 431, 34337, 24450, 510, 2323, 36937, 15360, 18, 3791, 3665, 16, 374, 349, 42455, 4887, 36937, 15360, 289, 8148, 1230, 4231, 4696, 11658, 3918, 3002, 756, 28522, 49405, 289, 6498, 294, 14728, 16, 374, 18513, 18066, 757, 11801, 29430, 509, 8889, 16, 1029, 683, 1013, 7127, 282, 16248, 18, 824, 4734, 28654, 40994, 16, 722, 44427, 9245, 281, 30313, 17727, 979, 18, 889, 726, 2992, 349, 5975, 808, 3022, 16, 785, 967, 429, 7357, 324, 10765, 46771, 1041, 564, 289, 906, 25791, 10419, 360, 11769, 309, 10276, 1165, 16, 2988, 309, 13297, 18, 365, 3998, 4120, 11826, 17, 361, 36937, 15360, 13060, 5481, 28654, 2570, 1685, 290, 1360, 8037, 16, 411, 17, 431, 1754, 906, 25791, 26581, 18804, 309, 22964, 547, 46304, 47712, 37026, 439, 877, 3949, 282, 478, 630, 8596, 1212, 861, 478, 10880, 283, 6812, 23683, 309, 46304, 37026, 439, 877, 3949, 16, 289, 16309, 3433, 8462, 549, 16, 515, 322, 9824, 18, 999, 11142, 555, 910, 510, 18585, 9631, 11287, 282, 3177, 35872, 271, 2517, 18, 19131, 18580, 324, 39672, 16, 374, 939, 7281, 22872, 439, 877, 3949, 289, 15395, 329, 1047, 18280, 349, 3600, 342, 14960, 18804, 18, 439, 877, 1520, 2715, 309, 481, 9168, 1525, 16391, 18454, 353, 800, 20749, 1081, 15974, 30, 478, 36382, 1427, 764, 9635, 3378, 861, 4756, 8846, 16, 374, 4223, 21421, 3327, 4090, 24652, 478, 27064, 298, 2356, 470, 360, 2241, 1059, 980, 8420, 5427, 1624, 15127, 43945, 2024, 2521, 373, 281, 4807, 8140, 281, 36937, 29049, 18, 365, 5214, 30841, 510, 5517, 4109, 16, 3857, 7605, 2545, 282, 3198, 33366, 8640, 16, 1011, 1639, 678, 3683, 30380, 305, 282, 3709, 289, 1500, 575, 15091, 18, 25768, 523, 3359, 282, 43287, 21421, 3327, 14306, 3084, 32361, 282, 2968, 18, 9787, 435, 10764, 2497, 4772, 17, 44084, 10292, 39248, 1059, 980, 8420, 5427, 282, 821, 607, 264, 464, 309, 16365, 478, 25240, 25864, 343, 470, 289, 478, 563, 2247, 18062, 2299, 3422, 910, 1655, 428, 10933, 11257, 44251, 28200, 10095, 4181, 7989, 281, 3918, 5499, 18580, 416, 36937, 29049, 18, 478, 730, 3778, 530, 16, 282, 6003, 481, 723, 29069, 396, 3918, 1528, 18580, 392, 42630, 478, 1140, 292, 16, 1059, 980, 8420, 5427, 19346, 21421, 3327, 8621, 20087, 1130, 3869, 16, 289, 1122, 282, 10095, 5703, 3716, 36937, 15360, 18, 459, 678, 475, 808, 714, 1592, 305, 18, 33080, 24450, 478, 630, 513, 16, 309, 2387, 399, 2798, 409, 43957, 8078, 25864, 343, 396, 36937, 390, 2594, 910, 478, 684, 648, 9049, 16, 1029, 656, 9621, 925, 910, 510, 18157, 10933, 4772, 17, 44084, 10292, 18, 365, 28138, 17739, 779, 282, 5324, 7134, 3531, 8735, 36937, 29049, 16, 961, 2125, 898, 4424, 4147, 275, 26048, 13557, 309, 13208, 547, 46304, 282, 32094, 18, 4406, 1293, 30334, 32413, 30, 8329, 6881, 16, 374, 349, 7183, 2206, 959, 523, 9523, 28154, 1952, 16, 2393, 36583, 16, 374, 481, 895, 953, 47835, 17, 47028, 16, 1029, 34656, 4110, 40820, 40994, 18, 14155, 349, 1533, 986, 19131, 18580, 324, 10859, 3084, 281, 11267, 12750, 478, 18163, 332, 36937, 15360, 18, 969, 18, 715, 18, 861, 49779, 2993, 34065, 2123, 4238, 282, 9365, 8544, 1212, 20536, 6396, 1293, 2868, 1011, 722, 5953, 17, 23745, 18, 528, 521, 554, 1687, 13865, 18749, 9667, 367, 675, 4970, 313, 16, 282, 3198, 1660, 282, 6829, 10929, 26716, 11540, 281, 3376, 30, 322, 1514, 47299, 9553, 8662, 309, 12750, 16, 2301, 26716, 840, 2760, 8991, 281, 6409, 35089, 12806, 2206, 18, 39212, 607, 289, 12817, 448, 49270, 6531, 22581, 14535, 290, 22704, 16391, 9631, 10226, 309, 16996, 18, 4801, 4915, 1694, 8434, 36937, 29049, 25290, 36618, 4210, 26110, 1740, 1624, 32190, 28794, 26785, 16396, 35897, 1624, 5120, 4178, 343, 12836, 16268, 343, 289, 3333, 2393, 18, 1563, 19767, 30927, 14382, 32838, 25113, 18585, 282, 22818, 371, 429, 7357, 318, 30, 478, 32897, 8762, 3412, 5318, 289, 14729, 360, 1209, 813, 282, 1177, 2894, 10833, 3461, 1337, 1333, 861, 4572, 425, 290, 11364, 2431, 29411, 3416, 36937, 29049, 4424, 11901, 455, 282, 3998, 4238, 11826, 779, 360, 7179 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 291, 18, 478, 1009, 13381, 1162, 6888, 510, 481, 4836, 22774, 29415, 9344, 329, 2891, 18, 985, 687, 6888, 20372, 16, 492, 322, 687, 840, 43600, 286, 360, 2891, 16, 417, 3684, 16, 492, 840, 6244, 928, 294, 34814, 8217, 349, 475, 518, 45917, 16, 961, 898, 2219, 1007, 334, 505, 21150, 16, 349, 16619, 2634, 26113, 910, 510, 18789, 4210, 1312, 508, 291, 282, 27561, 281, 727, 4742, 18, 365, 11130, 7847, 779, 5343, 16643, 23826, 33316, 1275, 9085, 309, 5625, 46332, 1489, 1251, 23245, 289, 30779, 29330, 16428, 289, 20934, 2152, 758, 7135, 1082, 18, 2450, 43265, 2272, 2145, 289, 18347, 2891, 19341, 349, 25033, 1333, 9085, 309, 3025, 2923, 19921, 16, 282, 970, 2875, 510, 309, 13078, 281, 9609, 18, 2949, 924, 16, 7727, 7220, 14090, 33316, 4287, 9085, 4289, 22228, 22141, 18, 24295, 11896, 1624, 282, 1423, 3678, 16, 11836, 309, 502, 16, 374, 5343, 9013, 18582, 8922, 33316, 1275, 282, 32359, 687, 282, 22668, 44028, 35664, 510, 4686, 5848, 33532, 306, 16, 2512, 15333, 282, 8183, 1568, 381, 42719, 31964, 5791, 289, 39327, 870, 9047, 282, 14774, 35189, 18, 2949, 924, 16, 5938, 1524, 1703, 11418, 277, 16, 15333, 33316, 4846, 36188, 309, 9482, 19921, 942, 687, 281, 9959, 22397, 289, 13586, 16, 11451, 11466, 1166, 282, 32094, 18, 2, 1, 87, 1456, 81, 2448, 30, 14842, 420, 1159, 3918, 1528, 36937, 390, 2594, 7968, 925, 13034, 276, 33756, 638, 274, 567, 808, 42326, 4696, 478, 15883, 5475, 910, 46505, 5880, 306, 5696, 14457, 18, 824, 5501, 954, 3453, 40994, 16, 9402, 978, 1559, 23561, 3359, 282, 16248, 29430, 509, 8889, 16, 1029, 14306, 37329, 4846, 19801, 18, 31224, 30, 25479, 549, 9631, 11287, 3875, 19131, 36937, 15360, 12026, 3455, 282, 10276, 1165, 4696, 478, 15883, 5475, 910, 46505, 5880, 306, 5696, 14457, 18, 824, 3352, 10195, 478, 27024, 6482, 742, 910, 30927, 282, 1851, 17, 299, 2083, 2742, 47534, 506, 18, 37767, 16, 374, 4686, 36937, 15360, 24256, 977, 309, 734, 1979, 282, 23778, 16, 678, 48821, 3128, 16, 515, 481, 322, 24065, 18, 13925, 7134, 15661, 33756, 638, 274, 289, 12543, 12625, 451, 47214, 18, 824, 3163, 3453, 40994, 16, 481, 1698, 953, 23996, 18513, 2893, 18, 478, 1358, 5404, 39174, 2704, 519, 3915, 16, 515, 322, 2447, 30, 24188, 1719, 411, 17, 431, 34337, 24450, 510, 2323, 36937, 15360, 18, 3791, 3665, 16, 374, 349, 42455, 4887, 36937, 15360, 289, 8148, 1230, 4231, 4696, 11658, 3918, 3002, 756, 28522, 49405, 289, 6498, 294, 14728, 16, 374, 18513, 18066, 757, 11801, 29430, 509, 8889, 16, 1029, 683, 1013, 7127, 282, 16248, 18, 824, 4734, 28654, 40994, 16, 722, 44427, 9245, 281, 30313, 17727, 979, 18, 889, 726, 2992, 349, 5975, 808, 3022, 16, 785, 967, 429, 7357, 324, 10765, 46771, 1041, 564, 289, 906, 25791, 10419, 360, 11769, 309, 10276, 1165, 16, 2988, 309, 13297, 18, 365, 3998, 4120, 11826, 17, 361, 36937, 15360, 13060, 5481, 28654, 2570, 1685, 290, 1360, 8037, 16, 411, 17, 431, 1754, 906, 25791, 26581, 18804, 309, 22964, 547, 46304, 47712, 37026, 439, 877, 3949, 282, 478, 630, 8596, 1212, 861, 478, 10880, 283, 6812, 23683, 309, 46304, 37026, 439, 877, 3949, 16, 289, 16309, 3433, 8462, 549, 16, 515, 322, 9824, 18, 999, 11142, 555, 910, 510, 18585, 9631, 11287, 282, 3177, 35872, 271, 2517, 18, 19131, 18580, 324, 39672, 16, 374, 939, 7281, 22872, 439, 877, 3949, 289, 15395, 329, 1047, 18280, 349, 3600, 342, 14960, 18804, 18, 439, 877, 1520, 2715, 309, 481, 9168, 1525, 16391, 18454, 353, 800, 20749, 1081, 15974, 30, 478, 36382, 1427, 764, 9635, 3378, 861, 4756, 8846, 16, 374, 4223, 21421, 3327, 4090, 24652, 478, 27064, 298, 2356, 470, 360, 2241, 1059, 980, 8420, 5427, 1624, 15127, 43945, 2024, 2521, 373, 281, 4807, 8140, 281, 36937, 29049, 18, 365, 5214, 30841, 510, 5517, 4109, 16, 3857, 7605, 2545, 282, 3198, 33366, 8640, 16, 1011, 1639, 678, 3683, 30380, 305, 282, 3709, 289, 1500, 575, 15091, 18, 25768, 523, 3359, 282, 43287, 21421, 3327, 14306, 3084, 32361, 282, 2968, 18, 9787, 435, 10764, 2497, 4772, 17, 44084, 10292, 39248, 1059, 980, 8420, 5427, 282, 821, 607, 264, 464, 309, 16365, 478, 25240, 25864, 343, 470, 289, 478, 563, 2247, 18062, 2299, 3422, 910, 1655, 428, 10933, 11257, 44251, 28200, 10095, 4181, 7989, 281, 3918, 5499, 18580, 416, 36937, 29049, 18, 478, 730, 3778, 530, 16, 282, 6003, 481, 723, 29069, 396, 3918, 1528, 18580, 392, 42630, 478, 1140, 292, 16, 1059, 980, 8420, 5427, 19346, 21421, 3327, 8621, 20087, 1130, 3869, 16, 289, 1122, 282, 10095, 5703, 3716, 36937, 15360, 18, 459, 678, 475, 808, 714, 1592, 305, 18, 33080, 24450, 478, 630, 513, 16, 309, 2387, 399, 2798, 409, 43957, 8078, 25864, 343, 396, 36937, 390, 2594, 910, 478, 684, 648, 9049, 16, 1029, 656, 9621, 925, 910, 510, 18157, 10933, 4772, 17, 44084, 10292, 18, 365, 28138, 17739, 779, 282, 5324, 7134, 3531, 8735, 36937, 29049, 16, 961, 2125, 898, 4424, 4147, 275, 26048, 13557, 309, 13208, 547, 46304, 282, 32094, 18, 4406, 1293, 30334, 32413, 30, 8329, 6881, 16, 374, 349, 7183, 2206, 959, 523, 9523, 28154, 1952, 16, 2393, 36583, 16, 374, 481, 895, 953, 47835, 17, 47028, 16, 1029, 34656, 4110, 40820, 40994, 18, 14155, 349, 1533, 986, 19131, 18580, 324, 10859, 3084, 281, 11267, 12750, 478, 18163, 332, 36937, 15360, 18, 969, 18, 715, 18, 861, 49779, 2993, 34065, 2123, 4238, 282, 9365, 8544, 1212, 20536, 6396, 1293, 2868, 1011, 722, 5953, 17, 23745, 18, 528, 521, 554, 1687, 13865, 18749, 9667, 367, 675, 4970, 313, 16, 282, 3198, 1660, 282, 6829, 10929, 26716, 11540, 281, 3376, 30, 322, 1514, 47299, 9553, 8662, 309, 12750, 16, 2301, 26716, 840, 2760, 8991, 281, 6409, 35089, 12806, 2206, 18, 39212, 607, 289, 12817, 448, 49270, 6531, 22581, 14535, 290, 22704, 16391, 9631, 10226, 309, 16996, 18, 4801, 4915, 1694, 8434, 36937, 29049, 25290, 36618, 4210, 26110, 1740, 1624, 32190, 28794, 26785, 16396, 35897, 1624, 5120, 4178, 343, 12836, 16268, 343, 289, 3333, 2393, 18, 1563, 19767, 30927, 14382, 32838, 25113, 18585, 282, 22818, 371, 429, 7357, 318, 30, 478, 32897, 8762, 3412, 5318, 289, 14729, 360, 1209, 813, 282, 1177, 2894, 10833, 3461, 1337, 1333, 861, 4572, 425, 290, 11364, 2431, 29411, 3416, 36937, 29049, 4424, 11901, 455, 282, 3998, 4238, 11826, 779, 360, 7179 ]
[ 14241, 289, 15472, 38639, 1175, 29368, 8255, 742, 367, 18, 365, 7337, 33293, 478, 34539, 1916, 341, 470, 492, 2815, 290, 970, 16, 374, 30927, 5352, 24468, 28654, 282, 6292, 1728, 5953, 17, 11884, 14810, 10997, 18, 478, 19571, 4990, 1205, 329, 1710, 22964, 451, 16, 3684, 16, 374, 581, 18, 1253, 26906, 5, 1303, 1743, 282, 9878, 34171, 10521, 16, 367, 2874, 8735, 510, 741, 2497, 16, 745, 8391, 726, 2555, 17, 5041, 986, 910, 510, 3828, 8255, 742, 18, 2, 1, 87, 1456, 81, 2448, 30, 684, 15399, 6252, 778, 901, 3643, 1551, 10954, 10566, 35026, 36407, 466, 2594, 651, 6661, 411, 17627, 4486, 282, 14386, 4840, 289, 16765, 9621, 2198, 12074, 1175, 17575, 4879, 16378, 12084, 18, 824, 15166, 5129, 16, 36407, 3573, 16, 1029, 726, 7304, 1893, 13742, 282, 15978, 349, 20841, 309, 38261, 27026, 7586, 16, 24905, 349, 47961, 13673, 1281, 986, 18, 29157, 1214, 548, 26900, 13928, 726, 12002, 290, 30554, 29581, 1086, 10566, 30, 745, 9474, 16506, 16, 374, 492, 1943, 953, 4187, 390, 16, 453, 428, 26900, 10823, 3118, 13749, 16789, 18, 31224, 30, 677, 9937, 15247, 778, 901, 3643, 1551, 10954, 10566, 35026, 36407, 3573, 329, 16, 6661, 411, 17627, 4486, 282, 14386, 4840, 289, 16765, 9621, 2198, 12074, 1175, 16, 8840, 31531, 680, 34529, 15064, 17575, 4879, 16378, 12084, 289, 764, 2236, 1631, 18, 4039, 17, 7745, 14999, 18524, 434, 269, 820, 36407, 3573, 685, 14449, 30143, 282, 14386, 4840, 289, 16765, 1949, 1135, 16, 24301, 1041, 21732, 289, 19674, 763, 309, 24301, 1041, 6135, 16, 8977, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 901, 13230, 5129, 12975, 22512, 5539, 18, 20346, 309, 11073, 334, 6619, 16, 2486, 4502, 4688, 282, 42719, 4666, 16, 22974, 6456, 6070, 9762, 1690, 8409, 541, 36407, 18128, 1281, 986, 15978, 40945, 10342, 1624, 367, 14517, 4722, 10566, 16, 6929, 7203, 2031, 427, 22204, 10159, 857, 541, 1047, 1939, 986, 17703, 8124, 18, 385, 3990, 978, 779, 36407, 3573, 289, 726, 7304, 1893, 13742, 282, 2100, 1286, 16, 25, 986, 15978, 349, 502, 16, 374, 396, 881, 9572, 8850, 8555, 3033, 27026, 7586, 18, 5890, 282, 15978, 492, 6463, 1008, 454, 281, 22131, 416, 381, 16765, 1949, 1135, 16, 3118, 13749, 16789, 289, 18789, 5072, 48236, 539, 12735, 477, 23285, 18, 37059, 411, 978, 16, 15320, 12453, 541, 424, 10336, 434, 1912, 986, 17703, 8124, 18, 478, 22012, 424, 10336, 451, 309, 7953, 547, 994, 4201, 18789, 5072, 48236, 539, 12735, 289, 25165, 475, 505, 2644, 18, 817, 3118, 13749, 1423, 16789, 16, 1056, 40715, 282, 10076, 292, 16, 12816, 14522, 475, 17187, 16, 7846, 2223, 16, 988, 2219, 887, 5024, 8150, 16, 367, 1038, 4848, 290, 22600, 6585, 16, 46496, 424, 388, 3317, 289, 290, 5703, 4286, 282, 25834, 17209, 910, 510, 4848, 478, 46088, 18, 8381, 470, 15320, 36407, 18128, 4210, 46424, 18, 6158, 322, 5678, 309, 5083, 537, 329, 6198, 16, 537, 329, 14267, 16, 289, 23229, 26900, 406, 825, 13742, 282, 2100, 2261, 986, 17703, 8124, 18, 740, 281, 9752, 31862, 360, 1286, 3990, 1551, 3508, 16, 374, 36407, 3573, 24905, 282, 15978, 8302, 10342, 1281, 986, 281, 11176, 979, 8124, 23424, 309, 430, 1205, 18, 3791, 1551, 14001, 2538, 42305, 1263, 265, 18100, 973, 510, 1662, 7871, 12074, 16378, 12084, 289, 1436, 4758, 31802, 510, 14943, 27227, 801, 756, 510, 282, 1176, 14034, 2791, 18, 2949, 924, 16, 36407, 3573, 14565, 13617, 9268, 26593, 16, 26, 5600, 2791, 16, 10322, 7050, 309, 35938, 5794, 18, 38659, 46424, 2815, 478, 46088, 18, 8381, 910, 374, 745, 1747, 29581, 1086, 10566, 18, 478, 4348, 23653, 3585, 29317, 2981, 5129, 289, 1033, 25813, 10566, 510, 360, 1912, 519, 1760, 986, 17703, 8124, 18, 2876, 417, 7786, 4978, 477, 2200, 424, 10336, 536, 16, 289, 656, 21038, 29581, 1086, 3003, 5129, 910, 510, 1109, 492, 18, 985, 1958, 857, 13391, 16, 1061, 4120, 4479, 779, 36407, 3573, 1974, 477, 2200, 11605, 16705, 364, 281, 5173, 49379, 1728, 28135, 14943, 27227, 801, 756, 510, 11114, 17, 11884, 24758, 3506, 434, 21363, 10872, 37159, 18, 1606, 7455, 15787, 11138, 1631, 282, 7236, 3732, 1756, 309, 7827, 602, 307, 409, 274, 289, 6776, 414, 309, 28039, 3692, 5626, 3031, 2357, 281, 1498, 294, 505, 1436, 281, 29075, 36089, 349, 22189, 5794, 816, 3763, 2791, 18, 415, 27422, 14386, 17937, 13493, 282, 10749, 745, 322, 15607, 18, 2112, 8623, 39592, 823, 343, 3809, 289, 5104, 35049, 1360, 4192, 546, 1293, 16602, 17120, 304, 8374, 8114, 334, 4822, 16, 1011, 1660, 21918, 505, 2398, 424, 6221, 519, 1110, 1326, 16, 1055, 1500, 322, 35225, 1309, 18, 29407, 3031, 2357, 40030, 8051, 1436, 30979, 322, 10469, 30, 10786, 8044, 11257, 8487, 726, 309, 5421, 1119, 18, 478, 8244, 24782, 360, 1047, 924, 16, 1660, 329, 813, 282, 1354, 322, 639, 18, 1787, 703, 519, 4319, 1326, 13860, 16, 349, 374, 3994, 2218, 5104, 910, 510, 2323, 4411, 30979, 24158, 6606, 1277, 2572, 309, 6612, 750, 18, 16577, 1421, 281, 18627, 5196, 25935, 1157, 39885, 289, 13398, 8840, 42529, 43962, 15064, 309, 7020, 15247, 328, 16, 9621, 2198, 12074, 1175, 17575, 4879, 16378, 12084, 16, 1029, 519, 978, 282, 3178, 2287, 986, 25512, 760, 24356, 2825, 1059, 12086, 282, 18524, 434, 269, 2557, 18, 365, 4542, 13148, 294, 3280, 3707, 6052, 45631, 309, 3961, 1728, 28135, 35111, 14543, 5394, 401, 18, 21373, 925, 14386, 2357, 8522, 30, 411, 21287, 5415, 6936, 2299, 12074, 16, 505, 38722, 289, 808, 28235, 309, 21031, 16, 2223, 25364, 289, 1810, 18, 35177, 5413, 1939, 3750, 4440, 779, 36407, 3573, 17, 9412, 1510, 9665, 294, 8744, 15543, 282, 18524, 434, 269, 2557, 16, 41534, 16, 785, 1500, 36476, 282, 23408, 309, 21031, 18, 5890, 282, 48016, 492, 31539, 364, 12074, 281, 3195, 294, 871, 7001, 16, 1011, 1660, 40030, 42807, 505, 282, 2107, 23408, 16, 988, 2458, 24301, 1041, 319, 475, 518, 575, 816, 3763, 2791, 18, 2112, 6309, 36407, 3573, 17005, 9572, 12074, 6320, 1683, 282, 2398, 411, 23476, 21155, 8374, 8114, 478, 45106, 486, 17, 2783, 684, 470, 282, 8995, 282, 8882, 1212, 3948, 18524, 434, 269, 820, 18, 985, 10703, 4419, 10344, 16804, 12130, 33515, 3594, 334, 15247, 2818, 10020, 9409, 21551, 31756, 1624, 5475, 924, 575, 2299, 8487, 16378, 12084, 7280, 19615, 3708, 16, 1586, 21133, 4583, 5289, 309, 21031, 289, 13790, 16, 753, 387, 877, 2666, 20243, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14241, 289, 15472, 38639, 1175, 29368, 8255, 742, 367, 18, 365, 7337, 33293, 478, 34539, 1916, 341, 470, 492, 2815, 290, 970, 16, 374, 30927, 5352, 24468, 28654, 282, 6292, 1728, 5953, 17, 11884, 14810, 10997, 18, 478, 19571, 4990, 1205, 329, 1710, 22964, 451, 16, 3684, 16, 374, 581, 18, 1253, 26906, 5, 1303, 1743, 282, 9878, 34171, 10521, 16, 367, 2874, 8735, 510, 741, 2497, 16, 745, 8391, 726, 2555, 17, 5041, 986, 910, 510, 3828, 8255, 742, 18, 2, 1, 87, 1456, 81, 2448, 30, 684, 15399, 6252, 778, 901, 3643, 1551, 10954, 10566, 35026, 36407, 466, 2594, 651, 6661, 411, 17627, 4486, 282, 14386, 4840, 289, 16765, 9621, 2198, 12074, 1175, 17575, 4879, 16378, 12084, 18, 824, 15166, 5129, 16, 36407, 3573, 16, 1029, 726, 7304, 1893, 13742, 282, 15978, 349, 20841, 309, 38261, 27026, 7586, 16, 24905, 349, 47961, 13673, 1281, 986, 18, 29157, 1214, 548, 26900, 13928, 726, 12002, 290, 30554, 29581, 1086, 10566, 30, 745, 9474, 16506, 16, 374, 492, 1943, 953, 4187, 390, 16, 453, 428, 26900, 10823, 3118, 13749, 16789, 18, 31224, 30, 677, 9937, 15247, 778, 901, 3643, 1551, 10954, 10566, 35026, 36407, 3573, 329, 16, 6661, 411, 17627, 4486, 282, 14386, 4840, 289, 16765, 9621, 2198, 12074, 1175, 16, 8840, 31531, 680, 34529, 15064, 17575, 4879, 16378, 12084, 289, 764, 2236, 1631, 18, 4039, 17, 7745, 14999, 18524, 434, 269, 820, 36407, 3573, 685, 14449, 30143, 282, 14386, 4840, 289, 16765, 1949, 1135, 16, 24301, 1041, 21732, 289, 19674, 763, 309, 24301, 1041, 6135, 16, 8977, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 901, 13230, 5129, 12975, 22512, 5539, 18, 20346, 309, 11073, 334, 6619, 16, 2486, 4502, 4688, 282, 42719, 4666, 16, 22974, 6456, 6070, 9762, 1690, 8409, 541, 36407, 18128, 1281, 986, 15978, 40945, 10342, 1624, 367, 14517, 4722, 10566, 16, 6929, 7203, 2031, 427, 22204, 10159, 857, 541, 1047, 1939, 986, 17703, 8124, 18, 385, 3990, 978, 779, 36407, 3573, 289, 726, 7304, 1893, 13742, 282, 2100, 1286, 16, 25, 986, 15978, 349, 502, 16, 374, 396, 881, 9572, 8850, 8555, 3033, 27026, 7586, 18, 5890, 282, 15978, 492, 6463, 1008, 454, 281, 22131, 416, 381, 16765, 1949, 1135, 16, 3118, 13749, 16789, 289, 18789, 5072, 48236, 539, 12735, 477, 23285, 18, 37059, 411, 978, 16, 15320, 12453, 541, 424, 10336, 434, 1912, 986, 17703, 8124, 18, 478, 22012, 424, 10336, 451, 309, 7953, 547, 994, 4201, 18789, 5072, 48236, 539, 12735, 289, 25165, 475, 505, 2644, 18, 817, 3118, 13749, 1423, 16789, 16, 1056, 40715, 282, 10076, 292, 16, 12816, 14522, 475, 17187, 16, 7846, 2223, 16, 988, 2219, 887, 5024, 8150, 16, 367, 1038, 4848, 290, 22600, 6585, 16, 46496, 424, 388, 3317, 289, 290, 5703, 4286, 282, 25834, 17209, 910, 510, 4848, 478, 46088, 18, 8381, 470, 15320, 36407, 18128, 4210, 46424, 18, 6158, 322, 5678, 309, 5083, 537, 329, 6198, 16, 537, 329, 14267, 16, 289, 23229, 26900, 406, 825, 13742, 282, 2100, 2261, 986, 17703, 8124, 18, 740, 281, 9752, 31862, 360, 1286, 3990, 1551, 3508, 16, 374, 36407, 3573, 24905, 282, 15978, 8302, 10342, 1281, 986, 281, 11176, 979, 8124, 23424, 309, 430, 1205, 18, 3791, 1551, 14001, 2538, 42305, 1263, 265, 18100, 973, 510, 1662, 7871, 12074, 16378, 12084, 289, 1436, 4758, 31802, 510, 14943, 27227, 801, 756, 510, 282, 1176, 14034, 2791, 18, 2949, 924, 16, 36407, 3573, 14565, 13617, 9268, 26593, 16, 26, 5600, 2791, 16, 10322, 7050, 309, 35938, 5794, 18, 38659, 46424, 2815, 478, 46088, 18, 8381, 910, 374, 745, 1747, 29581, 1086, 10566, 18, 478, 4348, 23653, 3585, 29317, 2981, 5129, 289, 1033, 25813, 10566, 510, 360, 1912, 519, 1760, 986, 17703, 8124, 18, 2876, 417, 7786, 4978, 477, 2200, 424, 10336, 536, 16, 289, 656, 21038, 29581, 1086, 3003, 5129, 910, 510, 1109, 492, 18, 985, 1958, 857, 13391, 16, 1061, 4120, 4479, 779, 36407, 3573, 1974, 477, 2200, 11605, 16705, 364, 281, 5173, 49379, 1728, 28135, 14943, 27227, 801, 756, 510, 11114, 17, 11884, 24758, 3506, 434, 21363, 10872, 37159, 18, 1606, 7455, 15787, 11138, 1631, 282, 7236, 3732, 1756, 309, 7827, 602, 307, 409, 274, 289, 6776, 414, 309, 28039, 3692, 5626, 3031, 2357, 281, 1498, 294, 505, 1436, 281, 29075, 36089, 349, 22189, 5794, 816, 3763, 2791, 18, 415, 27422, 14386, 17937, 13493, 282, 10749, 745, 322, 15607, 18, 2112, 8623, 39592, 823, 343, 3809, 289, 5104, 35049, 1360, 4192, 546, 1293, 16602, 17120, 304, 8374, 8114, 334, 4822, 16, 1011, 1660, 21918, 505, 2398, 424, 6221, 519, 1110, 1326, 16, 1055, 1500, 322, 35225, 1309, 18, 29407, 3031, 2357, 40030, 8051, 1436, 30979, 322, 10469, 30, 10786, 8044, 11257, 8487, 726, 309, 5421, 1119, 18, 478, 8244, 24782, 360, 1047, 924, 16, 1660, 329, 813, 282, 1354, 322, 639, 18, 1787, 703, 519, 4319, 1326, 13860, 16, 349, 374, 3994, 2218, 5104, 910, 510, 2323, 4411, 30979, 24158, 6606, 1277, 2572, 309, 6612, 750, 18, 16577, 1421, 281, 18627, 5196, 25935, 1157, 39885, 289, 13398, 8840, 42529, 43962, 15064, 309, 7020, 15247, 328, 16, 9621, 2198, 12074, 1175, 17575, 4879, 16378, 12084, 16, 1029, 519, 978, 282, 3178, 2287, 986, 25512, 760, 24356, 2825, 1059, 12086, 282, 18524, 434, 269, 2557, 18, 365, 4542, 13148, 294, 3280, 3707, 6052, 45631, 309, 3961, 1728, 28135, 35111, 14543, 5394, 401, 18, 21373, 925, 14386, 2357, 8522, 30, 411, 21287, 5415, 6936, 2299, 12074, 16, 505, 38722, 289, 808, 28235, 309, 21031, 16, 2223, 25364, 289, 1810, 18, 35177, 5413, 1939, 3750, 4440, 779, 36407, 3573, 17, 9412, 1510, 9665, 294, 8744, 15543, 282, 18524, 434, 269, 2557, 16, 41534, 16, 785, 1500, 36476, 282, 23408, 309, 21031, 18, 5890, 282, 48016, 492, 31539, 364, 12074, 281, 3195, 294, 871, 7001, 16, 1011, 1660, 40030, 42807, 505, 282, 2107, 23408, 16, 988, 2458, 24301, 1041, 319, 475, 518, 575, 816, 3763, 2791, 18, 2112, 6309, 36407, 3573, 17005, 9572, 12074, 6320, 1683, 282, 2398, 411, 23476, 21155, 8374, 8114, 478, 45106, 486, 17, 2783, 684, 470, 282, 8995, 282, 8882, 1212, 3948, 18524, 434, 269, 820, 18, 985, 10703, 4419, 10344, 16804, 12130, 33515, 3594, 334, 15247, 2818, 10020, 9409, 21551, 31756, 1624, 5475, 924, 575, 2299, 8487, 16378, 12084, 7280, 19615, 3708, 16, 1586, 21133, 4583, 5289, 309, 21031, 289, 13790, 16, 753, 387, 877, 2666, 20243, 18 ]
[ 478, 2997, 743, 370, 539, 10887, 5799, 282, 3157, 289, 13748, 3596, 454, 294, 1946, 864, 35295, 6052, 281, 30056, 15296, 3968, 979, 282, 2398, 910, 510, 13737, 282, 994, 4201, 18, 22025, 622, 31802, 906, 21523, 1715, 1833, 16, 453, 428, 5590, 16378, 12084, 282, 1500, 575, 1119, 18585, 8348, 290, 505, 42509, 763, 18, 824, 4734, 1537, 5363, 16, 3708, 16, 5668, 4749, 3555, 12074, 16, 445, 353, 2082, 281, 3496, 2855, 1223, 309, 1293, 1879, 16, 453, 428, 478, 324, 5503, 31802, 764, 26770, 271, 8889, 470, 473, 299, 912, 8487, 764, 322, 5354, 14854, 928, 1380, 814, 2287, 3990, 4018, 779, 994, 1769, 17, 9165, 10913, 4786, 282, 5271, 994, 13499, 289, 14339, 13824, 14796, 35272, 282, 18524, 434, 45249, 541, 5743, 1684, 820, 282, 8303, 20197, 17, 11884, 42397, 36407, 18128, 18, 2320, 5104, 289, 14543, 356, 712, 294, 2222, 18254, 898, 726, 28384, 18, 2046, 8478, 309, 21600, 9287, 2979, 19346, 1423, 10968, 289, 27508, 3675, 2799, 2606, 282, 25201, 16, 367, 2512, 6844, 334, 41133, 5627, 411, 23476, 21155, 33377, 289, 23957, 457, 789, 16, 289, 7563, 282, 697, 2580, 13623, 552, 18, 365, 3198, 4968, 1293, 17390, 5684, 568, 552, 3199, 16, 367, 1176, 24551, 1999, 1577, 685, 6392, 8959, 18, 2263, 36407, 3573, 685, 7808, 1078, 536, 12713, 18, 7743, 35111, 14543, 5394, 401, 639, 42406, 282, 42898, 4981, 289, 1314, 492, 687, 20427, 5129, 18, 2, 1, 87, 1456, 81, 2448, 30, 6014, 3228, 1273, 4339, 8000, 16303, 32556, 290, 5698, 2376, 23536, 25198, 48684, 1861, 416, 5324, 16, 1372, 4028, 309, 24037, 18, 1303, 37745, 898, 2988, 28717, 16, 2988, 10566, 1007, 294, 3539, 6832, 3017, 395, 17288, 434, 12851, 18, 824, 3163, 11673, 14886, 16, 478, 45156, 873, 33168, 10177, 16, 7794, 1754, 282, 2730, 3333, 3142, 861, 7699, 48009, 24037, 19553, 281, 14182, 5326, 282, 21140, 16, 988, 37186, 37745, 18700, 396, 499, 8724, 18, 31224, 30, 40050, 1880, 9770, 5698, 435, 360, 1281, 519, 1939, 1511, 2632, 2145, 281, 4479, 334, 4018, 1205, 16, 5923, 1273, 4339, 8000, 16303, 477, 7755, 309, 16644, 14886, 411, 13198, 6937, 18, 824, 697, 3163, 16, 282, 25198, 898, 16147, 6025, 322, 2619, 5544, 1511, 2632, 24037, 1624, 1176, 411, 1129, 510, 309, 4837, 1634, 12360, 567, 8878, 2236, 411, 43645, 12424, 18, 11333, 898, 10566, 1007, 294, 3539, 6832, 3017, 395, 17288, 434, 12851, 18, 824, 2059, 411, 30334, 16, 37186, 2891, 36890, 25973, 269, 16, 1029, 35180, 1511, 8943, 541, 2630, 477, 3319, 9919, 758, 47599, 16, 334, 2107, 510, 1511, 2632, 23085, 1135, 411, 24037, 18, 9046, 4381, 289, 24671, 16775, 19516, 289, 22186, 2899, 15684, 2510, 8076, 282, 3705, 24037, 28121, 411, 2903, 973, 349, 4101, 19606, 18, 824, 3163, 7725, 1051, 49077, 56, 16, 478, 45156, 873, 33168, 10177, 16, 7794, 1754, 282, 2730, 3333, 3142, 861, 45860, 319, 8534, 22511, 30374, 680, 5324, 11524, 8630, 16, 515, 334, 3163, 20526, 1562, 16, 3400, 11673, 22240, 16, 24242, 432, 282, 15770, 16, 43955, 1755, 1024, 281, 24242, 758, 282, 39103, 32597, 289, 1175, 22636, 353, 2145, 411, 17, 431, 7600, 13816, 9798, 9539, 36263, 650, 5434, 15099, 14458, 280, 312, 413, 7485, 26741, 289, 27837, 15690, 1265, 798, 510, 9798, 19361, 24731, 1624, 10901, 2198, 349, 30416, 313, 282, 4356, 3875, 289, 1175, 309, 28147, 21008, 15045, 18, 24037, 289, 24731, 17245, 360, 15841, 18, 24037, 5273, 30416, 313, 282, 15770, 3348, 411, 1634, 10235, 19565, 16, 515, 3084, 12094, 879, 11341, 21746, 3623, 2553, 5073, 6836, 30343, 541, 16711, 30374, 933, 21746, 22990, 29802, 11861, 18, 14587, 15661, 5698, 1232, 5324, 329, 19874, 7134, 282, 4479, 1045, 18, 824, 4734, 7725, 1051, 49077, 56, 16, 282, 502, 808, 7581, 3352, 24037, 290, 11574, 3416, 32137, 5439, 639, 12916, 16, 374, 2438, 16511, 19665, 845, 1810, 334, 834, 3951, 582, 11861, 282, 3322, 19178, 46194, 2165, 25269, 6507, 14392, 3873, 8053, 18, 7699, 411, 478, 280, 3042, 355, 470, 24037, 898, 6081, 3334, 30571, 16, 9416, 756, 21481, 282, 22005, 32137, 5439, 18, 740, 294, 9747, 779, 6469, 3352, 2780, 9257, 14347, 874, 18, 403, 19046, 4440, 779, 25545, 4490, 20320, 10015, 10668, 16, 374, 697, 10177, 6369, 42631, 9488, 18, 2112, 978, 24731, 289, 24037, 4732, 41779, 14781, 16, 2454, 3732, 25545, 13698, 19716, 36263, 650, 4946, 5119, 282, 9146, 11413, 292, 18, 23605, 265, 40079, 282, 8120, 547, 20352, 282, 12654, 18253, 14475, 750, 16, 745, 4732, 40092, 10168, 14492, 16, 2170, 25798, 282, 25886, 1153, 18, 4824, 8851, 25545, 4651, 13205, 26363, 1109, 16, 374, 14781, 639, 424, 6429, 2509, 7848, 478, 780, 22105, 383, 861, 12126, 2552, 14331, 13279, 22969, 685, 8522, 3337, 286, 13772, 360, 924, 16, 5870, 15088, 8892, 492, 17455, 18, 5351, 34240, 16079, 862, 3914, 758, 3692, 758, 5435, 1082, 510, 478, 4348, 16157, 764, 2236, 861, 3791, 36667, 282, 24099, 45075, 9484, 20310, 16046, 2497, 30403, 360, 6937, 309, 1500, 2083, 4830, 2145, 17917, 343, 32870, 290, 970, 16, 2006, 8915, 290, 6081, 6870, 2458, 19544, 18468, 18, 4149, 9446, 741, 1133, 10317, 49943, 2616, 17, 299, 282, 584, 11178, 476, 16, 4266, 3888, 24671, 19516, 18, 21621, 282, 502, 575, 808, 37186, 22186, 2899, 5698, 326, 20245, 4876, 20437, 624, 9526, 3623, 2145, 309, 9266, 14605, 18, 5637, 15389, 4266, 16, 374, 6261, 954, 5324, 46667, 502, 16, 374, 16775, 1511, 1250, 24305, 28121, 289, 10836, 575, 6759, 2389, 28235, 16, 367, 1038, 3532, 2389, 9691, 18, 7699, 20320, 19553, 477, 3319, 47599, 282, 21140, 16, 988, 37186, 37745, 18700, 30970, 10307, 8578, 289, 935, 17137, 11098, 11157, 309, 6081, 2127, 30382, 18, 4922, 16798, 622, 282, 23482, 281, 5501, 979, 16, 374, 38449, 23361, 414, 8120, 451, 11606, 2630, 16, 18590, 3333, 16, 827, 322, 475, 36013, 289, 3422, 25106, 18, 5043, 16, 3888, 282, 13198, 4819, 582, 16, 2805, 518, 16, 1085, 22499, 13187, 30374, 2127, 10177, 16, 14027, 6737, 2089, 24740, 289, 14487, 414, 16, 374, 22186, 2899, 898, 2293, 11183, 411, 17, 431, 43061, 3960, 2887, 24037, 18, 365, 25886, 1153, 281, 1533, 4238, 7847, 779, 30598, 282, 3941, 3531, 5210, 334, 17501, 900, 954, 2954, 349, 4371, 290, 30374, 680, 3416, 16, 8846, 282, 13349, 2431, 25886, 10706, 3594, 1087, 45930, 18, 34469, 14782, 33804, 519, 6957, 4500, 18, 1382, 363, 355, 47568, 11327, 16, 25, 4500, 3406 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 478, 2997, 743, 370, 539, 10887, 5799, 282, 3157, 289, 13748, 3596, 454, 294, 1946, 864, 35295, 6052, 281, 30056, 15296, 3968, 979, 282, 2398, 910, 510, 13737, 282, 994, 4201, 18, 22025, 622, 31802, 906, 21523, 1715, 1833, 16, 453, 428, 5590, 16378, 12084, 282, 1500, 575, 1119, 18585, 8348, 290, 505, 42509, 763, 18, 824, 4734, 1537, 5363, 16, 3708, 16, 5668, 4749, 3555, 12074, 16, 445, 353, 2082, 281, 3496, 2855, 1223, 309, 1293, 1879, 16, 453, 428, 478, 324, 5503, 31802, 764, 26770, 271, 8889, 470, 473, 299, 912, 8487, 764, 322, 5354, 14854, 928, 1380, 814, 2287, 3990, 4018, 779, 994, 1769, 17, 9165, 10913, 4786, 282, 5271, 994, 13499, 289, 14339, 13824, 14796, 35272, 282, 18524, 434, 45249, 541, 5743, 1684, 820, 282, 8303, 20197, 17, 11884, 42397, 36407, 18128, 18, 2320, 5104, 289, 14543, 356, 712, 294, 2222, 18254, 898, 726, 28384, 18, 2046, 8478, 309, 21600, 9287, 2979, 19346, 1423, 10968, 289, 27508, 3675, 2799, 2606, 282, 25201, 16, 367, 2512, 6844, 334, 41133, 5627, 411, 23476, 21155, 33377, 289, 23957, 457, 789, 16, 289, 7563, 282, 697, 2580, 13623, 552, 18, 365, 3198, 4968, 1293, 17390, 5684, 568, 552, 3199, 16, 367, 1176, 24551, 1999, 1577, 685, 6392, 8959, 18, 2263, 36407, 3573, 685, 7808, 1078, 536, 12713, 18, 7743, 35111, 14543, 5394, 401, 639, 42406, 282, 42898, 4981, 289, 1314, 492, 687, 20427, 5129, 18, 2, 1, 87, 1456, 81, 2448, 30, 6014, 3228, 1273, 4339, 8000, 16303, 32556, 290, 5698, 2376, 23536, 25198, 48684, 1861, 416, 5324, 16, 1372, 4028, 309, 24037, 18, 1303, 37745, 898, 2988, 28717, 16, 2988, 10566, 1007, 294, 3539, 6832, 3017, 395, 17288, 434, 12851, 18, 824, 3163, 11673, 14886, 16, 478, 45156, 873, 33168, 10177, 16, 7794, 1754, 282, 2730, 3333, 3142, 861, 7699, 48009, 24037, 19553, 281, 14182, 5326, 282, 21140, 16, 988, 37186, 37745, 18700, 396, 499, 8724, 18, 31224, 30, 40050, 1880, 9770, 5698, 435, 360, 1281, 519, 1939, 1511, 2632, 2145, 281, 4479, 334, 4018, 1205, 16, 5923, 1273, 4339, 8000, 16303, 477, 7755, 309, 16644, 14886, 411, 13198, 6937, 18, 824, 697, 3163, 16, 282, 25198, 898, 16147, 6025, 322, 2619, 5544, 1511, 2632, 24037, 1624, 1176, 411, 1129, 510, 309, 4837, 1634, 12360, 567, 8878, 2236, 411, 43645, 12424, 18, 11333, 898, 10566, 1007, 294, 3539, 6832, 3017, 395, 17288, 434, 12851, 18, 824, 2059, 411, 30334, 16, 37186, 2891, 36890, 25973, 269, 16, 1029, 35180, 1511, 8943, 541, 2630, 477, 3319, 9919, 758, 47599, 16, 334, 2107, 510, 1511, 2632, 23085, 1135, 411, 24037, 18, 9046, 4381, 289, 24671, 16775, 19516, 289, 22186, 2899, 15684, 2510, 8076, 282, 3705, 24037, 28121, 411, 2903, 973, 349, 4101, 19606, 18, 824, 3163, 7725, 1051, 49077, 56, 16, 478, 45156, 873, 33168, 10177, 16, 7794, 1754, 282, 2730, 3333, 3142, 861, 45860, 319, 8534, 22511, 30374, 680, 5324, 11524, 8630, 16, 515, 334, 3163, 20526, 1562, 16, 3400, 11673, 22240, 16, 24242, 432, 282, 15770, 16, 43955, 1755, 1024, 281, 24242, 758, 282, 39103, 32597, 289, 1175, 22636, 353, 2145, 411, 17, 431, 7600, 13816, 9798, 9539, 36263, 650, 5434, 15099, 14458, 280, 312, 413, 7485, 26741, 289, 27837, 15690, 1265, 798, 510, 9798, 19361, 24731, 1624, 10901, 2198, 349, 30416, 313, 282, 4356, 3875, 289, 1175, 309, 28147, 21008, 15045, 18, 24037, 289, 24731, 17245, 360, 15841, 18, 24037, 5273, 30416, 313, 282, 15770, 3348, 411, 1634, 10235, 19565, 16, 515, 3084, 12094, 879, 11341, 21746, 3623, 2553, 5073, 6836, 30343, 541, 16711, 30374, 933, 21746, 22990, 29802, 11861, 18, 14587, 15661, 5698, 1232, 5324, 329, 19874, 7134, 282, 4479, 1045, 18, 824, 4734, 7725, 1051, 49077, 56, 16, 282, 502, 808, 7581, 3352, 24037, 290, 11574, 3416, 32137, 5439, 639, 12916, 16, 374, 2438, 16511, 19665, 845, 1810, 334, 834, 3951, 582, 11861, 282, 3322, 19178, 46194, 2165, 25269, 6507, 14392, 3873, 8053, 18, 7699, 411, 478, 280, 3042, 355, 470, 24037, 898, 6081, 3334, 30571, 16, 9416, 756, 21481, 282, 22005, 32137, 5439, 18, 740, 294, 9747, 779, 6469, 3352, 2780, 9257, 14347, 874, 18, 403, 19046, 4440, 779, 25545, 4490, 20320, 10015, 10668, 16, 374, 697, 10177, 6369, 42631, 9488, 18, 2112, 978, 24731, 289, 24037, 4732, 41779, 14781, 16, 2454, 3732, 25545, 13698, 19716, 36263, 650, 4946, 5119, 282, 9146, 11413, 292, 18, 23605, 265, 40079, 282, 8120, 547, 20352, 282, 12654, 18253, 14475, 750, 16, 745, 4732, 40092, 10168, 14492, 16, 2170, 25798, 282, 25886, 1153, 18, 4824, 8851, 25545, 4651, 13205, 26363, 1109, 16, 374, 14781, 639, 424, 6429, 2509, 7848, 478, 780, 22105, 383, 861, 12126, 2552, 14331, 13279, 22969, 685, 8522, 3337, 286, 13772, 360, 924, 16, 5870, 15088, 8892, 492, 17455, 18, 5351, 34240, 16079, 862, 3914, 758, 3692, 758, 5435, 1082, 510, 478, 4348, 16157, 764, 2236, 861, 3791, 36667, 282, 24099, 45075, 9484, 20310, 16046, 2497, 30403, 360, 6937, 309, 1500, 2083, 4830, 2145, 17917, 343, 32870, 290, 970, 16, 2006, 8915, 290, 6081, 6870, 2458, 19544, 18468, 18, 4149, 9446, 741, 1133, 10317, 49943, 2616, 17, 299, 282, 584, 11178, 476, 16, 4266, 3888, 24671, 19516, 18, 21621, 282, 502, 575, 808, 37186, 22186, 2899, 5698, 326, 20245, 4876, 20437, 624, 9526, 3623, 2145, 309, 9266, 14605, 18, 5637, 15389, 4266, 16, 374, 6261, 954, 5324, 46667, 502, 16, 374, 16775, 1511, 1250, 24305, 28121, 289, 10836, 575, 6759, 2389, 28235, 16, 367, 1038, 3532, 2389, 9691, 18, 7699, 20320, 19553, 477, 3319, 47599, 282, 21140, 16, 988, 37186, 37745, 18700, 30970, 10307, 8578, 289, 935, 17137, 11098, 11157, 309, 6081, 2127, 30382, 18, 4922, 16798, 622, 282, 23482, 281, 5501, 979, 16, 374, 38449, 23361, 414, 8120, 451, 11606, 2630, 16, 18590, 3333, 16, 827, 322, 475, 36013, 289, 3422, 25106, 18, 5043, 16, 3888, 282, 13198, 4819, 582, 16, 2805, 518, 16, 1085, 22499, 13187, 30374, 2127, 10177, 16, 14027, 6737, 2089, 24740, 289, 14487, 414, 16, 374, 22186, 2899, 898, 2293, 11183, 411, 17, 431, 43061, 3960, 2887, 24037, 18, 365, 25886, 1153, 281, 1533, 4238, 7847, 779, 30598, 282, 3941, 3531, 5210, 334, 17501, 900, 954, 2954, 349, 4371, 290, 30374, 680, 3416, 16, 8846, 282, 13349, 2431, 25886, 10706, 3594, 1087, 45930, 18, 34469, 14782, 33804, 519, 6957, 4500, 18, 1382, 363, 355, 47568, 11327, 16, 25, 4500, 3406 ]
[ 349, 26596, 592, 1734, 3352, 290, 20072, 33814, 1321, 292, 16, 961, 8671, 15373, 2988, 12596, 15740, 289, 24552, 30374, 680, 3416, 16, 6895, 424, 24379, 1087, 10614, 3302, 18, 365, 25223, 13462, 16, 374, 281, 14459, 3021, 6569, 21012, 289, 11435, 400, 478, 431, 344, 3464, 549, 35465, 289, 2393, 16558, 448, 3402, 5684, 1143, 11548, 541, 29181, 289, 16780, 30374, 680, 289, 43575, 416, 3416, 861, 1787, 7811, 477, 30416, 353, 19056, 14033, 22228, 29138, 12459, 16, 867, 3818, 478, 560, 938, 743, 40391, 44488, 10255, 470, 1279, 34570, 48684, 2087, 18, 2, 1, 87, 1456, 81, 2448, 30, 24775, 1880, 478, 13781, 470, 42100, 435, 282, 36798, 1819, 818, 14118, 282, 4301, 7977, 32671, 7561, 28604, 18, 365, 5271, 24621, 8440, 1080, 2581, 811, 1789, 1866, 403, 342, 18204, 16, 367, 329, 42969, 973, 510, 8973, 981, 321, 7929, 18, 31224, 30, 677, 10882, 282, 46738, 8267, 42905, 2299, 282, 28604, 282, 36798, 1819, 818, 14118, 13694, 478, 13781, 861, 30866, 3536, 873, 1011, 14248, 360, 478, 50157, 354, 470, 6498, 282, 965, 289, 16, 1684, 25474, 282, 16876, 8267, 417, 10123, 778, 478, 29428, 470, 473, 23, 30, 21, 934, 25941, 4364, 309, 478, 3693, 14275, 861, 14118, 322, 42495, 12156, 39280, 22095, 17, 18967, 770, 18, 365, 3177, 39566, 8267, 567, 12241, 13397, 873, 898, 7081, 478, 42652, 324, 470, 473, 24, 30, 21, 814, 1870, 5983, 873, 16581, 294, 1335, 9155, 282, 21311, 26708, 16, 2686, 282, 12643, 304, 9347, 7193, 334, 17, 5899, 268, 975, 23140, 14887, 3860, 18, 1367, 803, 16, 282, 4810, 16, 1011, 6705, 7977, 2815, 39914, 10078, 17, 440, 1608, 8973, 981, 321, 7929, 18, 478, 4348, 14877, 14887, 2709, 10356, 16, 510, 1109, 492, 18, 651, 478, 13781, 470, 25941, 2712, 289, 4040, 541, 813, 14157, 3337, 761, 1188, 4078, 3792, 16, 567, 808, 2024, 656, 14156, 374, 17, 1796, 8830, 18, 26749, 17, 18967, 839, 1314, 23054, 939, 1904, 16, 1660, 2955, 2023, 290, 813, 18, 9920, 1791, 329, 813, 861, 478, 13781, 470, 2826, 8074, 435, 30747, 1907, 16, 2686, 7150, 10552, 2845, 16648, 5790, 8616, 33718, 2792, 441, 301, 1307, 28772, 13536, 34989, 18746, 1624, 2834, 401, 2822, 329, 12457, 282, 46401, 6466, 5492, 7544, 990, 505, 282, 2107, 3216, 16, 11789, 5770, 13850, 481, 867, 16, 374, 492, 322, 10047, 10361, 434, 42905, 1612, 16, 367, 1038, 13013, 758, 3361, 353, 281, 9444, 7586, 18, 27289, 575, 34156, 32922, 40465, 3003, 7586, 13296, 19574, 282, 8896, 277, 17, 27475, 16, 13428, 1500, 16, 49302, 349, 1047, 1293, 16287, 16, 2564, 27714, 9980, 25358, 16782, 553, 1011, 17336, 18, 8615, 1020, 22246, 481, 334, 17, 21495, 16, 289, 7820, 502, 16, 374, 7820, 18, 365, 6031, 478, 13781, 470, 39409, 5747, 1576, 857, 309, 3177, 17292, 3614, 290, 970, 16, 374, 3216, 1143, 322, 17182, 282, 46116, 16452, 265, 419, 34989, 18746, 651, 453, 5930, 925, 21188, 289, 9680, 778, 11226, 1011, 28145, 18, 985, 13737, 478, 46088, 18, 8381, 470, 282, 3781, 17, 12495, 14673, 3536, 1275, 16, 282, 10264, 808, 541, 478, 1961, 464, 775, 354, 470, 2826, 840, 21354, 43676, 2107, 3216, 18, 2949, 924, 16, 19574, 11272, 6911, 12435, 477, 1963, 7586, 16, 367, 1038, 28604, 651, 282, 10882, 9770, 478, 13781, 470, 726, 1727, 857, 5771, 282, 520, 877, 281, 14503, 13079, 24741, 19574, 18, 48246, 869, 4538, 16, 371, 25881, 5271, 22095, 17, 18967, 839, 2826, 3005, 1190, 11721, 10419, 360, 5117, 34989, 18746, 18, 3510, 282, 42781, 482, 8849, 5335, 539, 7437, 890, 599, 1388, 1880, 1421, 262, 651, 415, 546, 31322, 16, 504, 4194, 285, 628, 16, 2333, 4929, 18, 740, 374, 840, 16, 785, 4070, 18367, 14828, 349, 18638, 651, 1215, 282, 828, 1247, 18, 740, 481, 726, 8148, 5517, 16, 1586, 16, 9956, 334, 4547, 16, 322, 2493, 1077, 2362, 847, 282, 1805, 16, 453, 428, 9744, 334, 2010, 11188, 38484, 29873, 282, 29730, 475, 453, 575, 322, 9095, 5522, 16616, 18, 7500, 289, 294, 24894, 651, 329, 7179, 14497, 7336, 334, 17, 6093, 912, 22675, 2678, 1562, 501, 2094, 19935, 3955, 7878, 21616, 16452, 274, 18, 640, 6608, 2615, 2849, 281, 40443, 387, 6372, 478, 13781, 470, 510, 1651, 1145, 504, 4194, 285, 628, 40750, 4041, 294, 24557, 21755, 16, 515, 6125, 374, 17, 299, 334, 17, 11863, 37300, 975, 322, 3225, 18, 9263, 4966, 2458, 27096, 1954, 4506, 758, 2913, 758, 21480, 4868, 18, 740, 1914, 13247, 428, 3014, 294, 24557, 702, 2803, 329, 1129, 334, 17, 6093, 322, 19846, 18, 5585, 659, 286, 685, 3720, 415, 546, 31322, 16, 1210, 1779, 4038, 19068, 25592, 16, 515, 975, 322, 10747, 435, 18, 2046, 1472, 519, 10592, 519, 1612, 18, 365, 13420, 10416, 4422, 31277, 282, 11063, 1011, 7756, 9871, 291, 415, 420, 475, 17, 2767, 10587, 1196, 4475, 46234, 282, 8999, 16259, 9127, 285, 2306, 10406, 14603, 1011, 10376, 7399, 513, 3568, 3174, 18, 24207, 35510, 651, 14673, 3536, 1133, 42215, 520, 45397, 18, 41651, 16, 374, 41445, 16787, 898, 5194, 17011, 18, 2046, 13397, 873, 322, 2458, 45601, 1954, 289, 3716, 475, 21446, 7109, 1879, 4183, 10485, 10258, 282, 31277, 16, 1650, 275, 1293, 939, 22711, 25592, 16, 961, 16, 3754, 16, 453, 289, 322, 30499, 733, 1647, 339, 7889, 18, 48782, 9700, 3221, 2795, 2948, 46296, 4137, 34216, 523, 18, 49225, 294, 9747, 4056, 1939, 17, 25822, 382, 14673, 3536, 873, 7737, 18484, 5199, 282, 35453, 17025, 16, 515, 7926, 649, 8999, 567, 2992, 445, 773, 453, 289, 322, 3225, 18, 365, 3998, 6740, 10485, 478, 13781, 470, 2149, 804, 13296, 12376, 46234, 282, 8999, 14118, 651, 4210, 1860, 375, 38766, 282, 6853, 1853, 34565, 4548, 334, 22824, 16, 282, 4722, 2083, 20093, 706, 23413, 16, 8960, 2515, 360, 16259, 16, 289, 14212, 46234, 424, 34874, 888, 18, 2112, 978, 37253, 13397, 873, 43449, 16, 5505, 10551, 702, 349, 4413, 764, 1871, 15277, 919, 651, 2401, 9528, 1789, 1866, 403, 342, 18204, 289, 44133, 3310, 5875, 11759, 1484, 18, 640, 566, 742, 10078, 17, 440, 1608, 16095, 10171, 3740, 1833, 575, 1011, 39900, 3508, 25360, 19671, 521, 16, 2671, 10551, 8450, 306, 1483, 2977, 521, 3340, 4226, 2086, 400, 16197, 16259, 18, 2046, 1542, 25433, 322, 2756, 9258, 2545, 18, 14118, 10117, 5505, 3058, 651, 403, 342, 18204, 3404, 2948, 16536, 536, 16, 13721, 275, 8440, 526, 18, 4530 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 349, 26596, 592, 1734, 3352, 290, 20072, 33814, 1321, 292, 16, 961, 8671, 15373, 2988, 12596, 15740, 289, 24552, 30374, 680, 3416, 16, 6895, 424, 24379, 1087, 10614, 3302, 18, 365, 25223, 13462, 16, 374, 281, 14459, 3021, 6569, 21012, 289, 11435, 400, 478, 431, 344, 3464, 549, 35465, 289, 2393, 16558, 448, 3402, 5684, 1143, 11548, 541, 29181, 289, 16780, 30374, 680, 289, 43575, 416, 3416, 861, 1787, 7811, 477, 30416, 353, 19056, 14033, 22228, 29138, 12459, 16, 867, 3818, 478, 560, 938, 743, 40391, 44488, 10255, 470, 1279, 34570, 48684, 2087, 18, 2, 1, 87, 1456, 81, 2448, 30, 24775, 1880, 478, 13781, 470, 42100, 435, 282, 36798, 1819, 818, 14118, 282, 4301, 7977, 32671, 7561, 28604, 18, 365, 5271, 24621, 8440, 1080, 2581, 811, 1789, 1866, 403, 342, 18204, 16, 367, 329, 42969, 973, 510, 8973, 981, 321, 7929, 18, 31224, 30, 677, 10882, 282, 46738, 8267, 42905, 2299, 282, 28604, 282, 36798, 1819, 818, 14118, 13694, 478, 13781, 861, 30866, 3536, 873, 1011, 14248, 360, 478, 50157, 354, 470, 6498, 282, 965, 289, 16, 1684, 25474, 282, 16876, 8267, 417, 10123, 778, 478, 29428, 470, 473, 23, 30, 21, 934, 25941, 4364, 309, 478, 3693, 14275, 861, 14118, 322, 42495, 12156, 39280, 22095, 17, 18967, 770, 18, 365, 3177, 39566, 8267, 567, 12241, 13397, 873, 898, 7081, 478, 42652, 324, 470, 473, 24, 30, 21, 814, 1870, 5983, 873, 16581, 294, 1335, 9155, 282, 21311, 26708, 16, 2686, 282, 12643, 304, 9347, 7193, 334, 17, 5899, 268, 975, 23140, 14887, 3860, 18, 1367, 803, 16, 282, 4810, 16, 1011, 6705, 7977, 2815, 39914, 10078, 17, 440, 1608, 8973, 981, 321, 7929, 18, 478, 4348, 14877, 14887, 2709, 10356, 16, 510, 1109, 492, 18, 651, 478, 13781, 470, 25941, 2712, 289, 4040, 541, 813, 14157, 3337, 761, 1188, 4078, 3792, 16, 567, 808, 2024, 656, 14156, 374, 17, 1796, 8830, 18, 26749, 17, 18967, 839, 1314, 23054, 939, 1904, 16, 1660, 2955, 2023, 290, 813, 18, 9920, 1791, 329, 813, 861, 478, 13781, 470, 2826, 8074, 435, 30747, 1907, 16, 2686, 7150, 10552, 2845, 16648, 5790, 8616, 33718, 2792, 441, 301, 1307, 28772, 13536, 34989, 18746, 1624, 2834, 401, 2822, 329, 12457, 282, 46401, 6466, 5492, 7544, 990, 505, 282, 2107, 3216, 16, 11789, 5770, 13850, 481, 867, 16, 374, 492, 322, 10047, 10361, 434, 42905, 1612, 16, 367, 1038, 13013, 758, 3361, 353, 281, 9444, 7586, 18, 27289, 575, 34156, 32922, 40465, 3003, 7586, 13296, 19574, 282, 8896, 277, 17, 27475, 16, 13428, 1500, 16, 49302, 349, 1047, 1293, 16287, 16, 2564, 27714, 9980, 25358, 16782, 553, 1011, 17336, 18, 8615, 1020, 22246, 481, 334, 17, 21495, 16, 289, 7820, 502, 16, 374, 7820, 18, 365, 6031, 478, 13781, 470, 39409, 5747, 1576, 857, 309, 3177, 17292, 3614, 290, 970, 16, 374, 3216, 1143, 322, 17182, 282, 46116, 16452, 265, 419, 34989, 18746, 651, 453, 5930, 925, 21188, 289, 9680, 778, 11226, 1011, 28145, 18, 985, 13737, 478, 46088, 18, 8381, 470, 282, 3781, 17, 12495, 14673, 3536, 1275, 16, 282, 10264, 808, 541, 478, 1961, 464, 775, 354, 470, 2826, 840, 21354, 43676, 2107, 3216, 18, 2949, 924, 16, 19574, 11272, 6911, 12435, 477, 1963, 7586, 16, 367, 1038, 28604, 651, 282, 10882, 9770, 478, 13781, 470, 726, 1727, 857, 5771, 282, 520, 877, 281, 14503, 13079, 24741, 19574, 18, 48246, 869, 4538, 16, 371, 25881, 5271, 22095, 17, 18967, 839, 2826, 3005, 1190, 11721, 10419, 360, 5117, 34989, 18746, 18, 3510, 282, 42781, 482, 8849, 5335, 539, 7437, 890, 599, 1388, 1880, 1421, 262, 651, 415, 546, 31322, 16, 504, 4194, 285, 628, 16, 2333, 4929, 18, 740, 374, 840, 16, 785, 4070, 18367, 14828, 349, 18638, 651, 1215, 282, 828, 1247, 18, 740, 481, 726, 8148, 5517, 16, 1586, 16, 9956, 334, 4547, 16, 322, 2493, 1077, 2362, 847, 282, 1805, 16, 453, 428, 9744, 334, 2010, 11188, 38484, 29873, 282, 29730, 475, 453, 575, 322, 9095, 5522, 16616, 18, 7500, 289, 294, 24894, 651, 329, 7179, 14497, 7336, 334, 17, 6093, 912, 22675, 2678, 1562, 501, 2094, 19935, 3955, 7878, 21616, 16452, 274, 18, 640, 6608, 2615, 2849, 281, 40443, 387, 6372, 478, 13781, 470, 510, 1651, 1145, 504, 4194, 285, 628, 40750, 4041, 294, 24557, 21755, 16, 515, 6125, 374, 17, 299, 334, 17, 11863, 37300, 975, 322, 3225, 18, 9263, 4966, 2458, 27096, 1954, 4506, 758, 2913, 758, 21480, 4868, 18, 740, 1914, 13247, 428, 3014, 294, 24557, 702, 2803, 329, 1129, 334, 17, 6093, 322, 19846, 18, 5585, 659, 286, 685, 3720, 415, 546, 31322, 16, 1210, 1779, 4038, 19068, 25592, 16, 515, 975, 322, 10747, 435, 18, 2046, 1472, 519, 10592, 519, 1612, 18, 365, 13420, 10416, 4422, 31277, 282, 11063, 1011, 7756, 9871, 291, 415, 420, 475, 17, 2767, 10587, 1196, 4475, 46234, 282, 8999, 16259, 9127, 285, 2306, 10406, 14603, 1011, 10376, 7399, 513, 3568, 3174, 18, 24207, 35510, 651, 14673, 3536, 1133, 42215, 520, 45397, 18, 41651, 16, 374, 41445, 16787, 898, 5194, 17011, 18, 2046, 13397, 873, 322, 2458, 45601, 1954, 289, 3716, 475, 21446, 7109, 1879, 4183, 10485, 10258, 282, 31277, 16, 1650, 275, 1293, 939, 22711, 25592, 16, 961, 16, 3754, 16, 453, 289, 322, 30499, 733, 1647, 339, 7889, 18, 48782, 9700, 3221, 2795, 2948, 46296, 4137, 34216, 523, 18, 49225, 294, 9747, 4056, 1939, 17, 25822, 382, 14673, 3536, 873, 7737, 18484, 5199, 282, 35453, 17025, 16, 515, 7926, 649, 8999, 567, 2992, 445, 773, 453, 289, 322, 3225, 18, 365, 3998, 6740, 10485, 478, 13781, 470, 2149, 804, 13296, 12376, 46234, 282, 8999, 14118, 651, 4210, 1860, 375, 38766, 282, 6853, 1853, 34565, 4548, 334, 22824, 16, 282, 4722, 2083, 20093, 706, 23413, 16, 8960, 2515, 360, 16259, 16, 289, 14212, 46234, 424, 34874, 888, 18, 2112, 978, 37253, 13397, 873, 43449, 16, 5505, 10551, 702, 349, 4413, 764, 1871, 15277, 919, 651, 2401, 9528, 1789, 1866, 403, 342, 18204, 289, 44133, 3310, 5875, 11759, 1484, 18, 640, 566, 742, 10078, 17, 440, 1608, 16095, 10171, 3740, 1833, 575, 1011, 39900, 3508, 25360, 19671, 521, 16, 2671, 10551, 8450, 306, 1483, 2977, 521, 3340, 4226, 2086, 400, 16197, 16259, 18, 2046, 1542, 25433, 322, 2756, 9258, 2545, 18, 14118, 10117, 5505, 3058, 651, 403, 342, 18204, 3404, 2948, 16536, 536, 16, 13721, 275, 8440, 526, 18, 4530 ]
[ 867, 7736, 8477, 6281, 764, 11112, 11693, 7977, 16, 13397, 873, 6984, 764, 2678, 15831, 649, 1907, 5790, 289, 17454, 7631, 360, 4116, 20122, 14248, 18, 1870, 5983, 873, 2826, 19785, 16, 1741, 13375, 309, 1209, 24258, 15722, 16, 515, 374, 17, 299, 322, 19846, 282, 9547, 4966, 18, 11966, 16, 481, 1717, 502, 16, 290, 828, 3153, 981, 321, 7929, 651, 518, 4289, 3860, 18, 996, 289, 322, 3225, 14118, 45822, 5466, 8999, 14673, 3536, 1275, 567, 7422, 29235, 18, 9570, 7820, 2048, 481, 726, 282, 2456, 3998, 11202, 10485, 651, 981, 321, 7929, 24597, 905, 49439, 4308, 1518, 16, 1763, 18402, 939, 31476, 46234, 289, 5009, 659, 13303, 2235, 282, 20545, 18, 459, 7150, 282, 13420, 575, 31277, 6070, 528, 2143, 15334, 21161, 2491, 564, 1728, 22691, 16, 8782, 25474, 764, 3441, 46234, 18, 13175, 3768, 16, 8084, 16, 13397, 873, 18, 11966, 16, 282, 43813, 582, 12665, 939, 20928, 4077, 18, 459, 16, 9956, 334, 4547, 16, 10171, 3740, 6089, 22451, 1694, 18, 24563, 329, 10078, 17, 440, 1608, 639, 764, 2702, 1612, 16, 753, 1040, 3250, 2175, 8830, 6730, 282, 8267, 18, 21621, 349, 3103, 1879, 519, 3915, 5790, 2159, 741, 1880, 3702, 1109, 3720, 28265, 1388, 1624, 1763, 18402, 27691, 46234, 1360, 4966, 282, 803, 8267, 18, 42391, 349, 1421, 7130, 519, 3915, 4466, 14118, 10587, 1763, 4475, 289, 3303, 7529, 510, 981, 321, 7929, 13721, 271, 8440, 526, 16, 289, 7040, 16, 374, 15014, 8070, 15521, 4181, 13485, 478, 1876, 17, 296, 4194, 861, 740, 309, 529, 25882, 845, 20537, 5790, 475, 3586, 11368, 504, 4194, 285, 628, 651, 1286, 30, 24, 16, 14118, 322, 3225, 1874, 303, 14500, 12644, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 14118, 510, 478, 13781, 470, 421, 18, 22405, 281, 4778, 30855, 16, 367, 1038, 5298, 25956, 942, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 13209, 27470, 19243, 37997, 12568, 8973, 4848, 290, 41938, 16, 411, 17, 431, 2024, 492, 14084, 1387, 7539, 11605, 478, 789, 2851, 333, 15676, 861, 824, 505, 3163, 16, 282, 15992, 505, 2125, 898, 15333, 282, 1176, 411, 9786, 1476, 16, 290, 828, 322, 45505, 7735, 18, 5585, 842, 4725, 16, 374, 1011, 978, 3508, 26320, 309, 3705, 282, 4889, 18, 31224, 30, 563, 13209, 15472, 38639, 3875, 19243, 37997, 12568, 8973, 4848, 290, 41938, 16, 411, 17, 431, 2024, 492, 685, 11189, 12848, 45391, 11605, 13341, 18, 824, 3163, 30077, 16, 282, 478, 789, 2851, 333, 320, 582, 470, 505, 2125, 898, 15333, 282, 1176, 411, 9786, 1476, 16, 2686, 5112, 290, 16992, 322, 45505, 18, 478, 822, 14759, 685, 953, 8922, 282, 2452, 16, 515, 784, 290, 1169, 2504, 322, 1109, 16, 367, 417, 2946, 381, 803, 7735, 16, 1548, 374, 1514, 18379, 22308, 28455, 381, 803, 639, 10128, 18, 629, 39337, 16, 374, 827, 437, 784, 2174, 6843, 16, 502, 417, 1882, 322, 3478, 282, 481, 282, 9932, 5559, 18, 7132, 35, 629, 19216, 760, 24002, 510, 481, 3754, 910, 510, 9848, 37997, 3930, 17, 39121, 282, 30195, 17, 22649, 478, 618, 8346, 35991, 3703, 17, 7745, 9778, 14403, 16, 374, 1011, 14631, 4576, 411, 1354, 23822, 282, 15992, 4893, 21183, 16, 367, 583, 492, 1143, 22073, 811, 309, 4889, 18, 478, 9489, 14631, 19243, 11973, 4254, 417, 18928, 6281, 49005, 453, 30, 5053, 16, 1381, 8782, 18070, 18, 4798, 13836, 10037, 16, 510, 4255, 1475, 25372, 18, 510, 365, 13341, 2993, 976, 20183, 4619, 18, 608, 703, 978, 322, 639, 18, 629, 7750, 16, 374, 322, 840, 924, 10137, 16, 515, 898, 12156, 16, 374, 10232, 3655, 1135, 289, 840, 939, 22440, 861, 1397, 5327, 20420, 12457, 478, 789, 2851, 333, 19611, 470, 289, 421, 1916, 789, 3946, 38944, 16, 37997, 3930, 17, 39121, 4725, 16, 374, 14044, 290, 1169, 764, 7885, 18, 985, 5923, 10958, 478, 822, 307, 18, 19021, 470, 1624, 334, 4734, 30077, 16, 381, 803, 1882, 48346, 10929, 26716, 289, 17165, 15364, 18, 478, 1358, 939, 6540, 478, 789, 2851, 333, 15676, 861, 629, 3027, 16, 753, 492, 1393, 577, 300, 289, 5235, 4024, 18, 34231, 16, 374, 840, 2915, 910, 510, 5692, 8973, 18, 43898, 742, 4590, 10250, 27470, 9299, 16, 374, 37932, 9216, 282, 15992, 895, 953, 9540, 478, 267, 18588, 470, 687, 282, 970, 1750, 16, 827, 43694, 1569, 6106, 8487, 1923, 18, 7106, 16, 1011, 3422, 19243, 37997, 12568, 478, 789, 2851, 333, 15676, 470, 21253, 4137, 1789, 20149, 16, 367, 421, 1916, 789, 3946, 38944, 510, 4210, 6883, 401, 283, 18, 824, 4734, 38639, 16, 827, 373, 2903, 344, 343, 282, 421, 1916, 789, 3946, 38944, 5840, 332, 8487, 513, 16, 502, 1177, 3059, 12307, 373, 10121, 16015, 16671, 18, 478, 3743, 1882, 1223, 16, 785, 13341, 583, 18145, 18, 4950, 2048, 2903, 12399, 16, 515, 1655, 1122, 32937, 1749, 2125, 953, 18, 740, 785, 9595, 1135, 16, 5076, 282, 10209, 481, 322, 939, 1513, 16, 1029, 322, 939, 685, 28687, 294, 2856, 4046, 344, 16, 502, 294, 2856, 912, 1077, 1626, 382, 910, 510, 23081, 37997, 3930, 17, 39121, 18, 365, 7337, 9778, 1038, 14403, 16, 374, 764, 322, 519, 3915, 27530, 3554, 4576, 411, 1354, 18, 478, 1358, 16173, 282, 17676, 16, 374, 8490, 15952, 310, 309, 6555, 22889, 16, 289, 417, 322, 2447, 975, 17389, 18, 403, 3422, 2955, 953, 40386, 16, 935, 827, 9171, 16, 374, 2259, 18, 1937, 678, 19832, 16, 502, 475, 34974, 1812, 18, 2667, 8508, 1968, 5001, 309, 13609, 910, 510, 4255, 1475, 8973, 18, 2949, 924, 16, 9778, 4848, 16, 374, 7557, 965, 12073, 289, 8643, 32206, 1089, 1354, 18, 37997, 3930, 9299, 16, 374, 322, 5073, 28659, 309, 17980, 16525, 289, 21980, 7557, 14923, 649, 13839, 14261, 18, 478, 1358, 21545, 16, 374, 282, 3703, 779, 15537, 32489, 16, 282, 14691, 726, 4819, 14360, 16, 367, 16088, 840, 1939, 986, 18, 629, 3478, 1992, 282, 1543, 552, 16847, 16, 309, 24349, 8436, 289, 656, 1974, 3984, 6567, 2869, 19774, 910, 510, 40809, 492, 18, 365, 12500, 978, 779, 37997, 3930, 17, 39121, 24510, 282, 9212, 478, 49999, 883, 16526, 8075, 910, 988, 4848, 5742, 728, 35026, 16526, 1709, 552, 290, 25784, 281, 16522, 3376, 411, 17, 431, 5070, 434, 13611, 35968, 18, 365, 4810, 16, 5834, 1135, 14403, 16, 374, 46164, 44592, 282, 528, 9088, 732, 11545, 16, 988 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 867, 7736, 8477, 6281, 764, 11112, 11693, 7977, 16, 13397, 873, 6984, 764, 2678, 15831, 649, 1907, 5790, 289, 17454, 7631, 360, 4116, 20122, 14248, 18, 1870, 5983, 873, 2826, 19785, 16, 1741, 13375, 309, 1209, 24258, 15722, 16, 515, 374, 17, 299, 322, 19846, 282, 9547, 4966, 18, 11966, 16, 481, 1717, 502, 16, 290, 828, 3153, 981, 321, 7929, 651, 518, 4289, 3860, 18, 996, 289, 322, 3225, 14118, 45822, 5466, 8999, 14673, 3536, 1275, 567, 7422, 29235, 18, 9570, 7820, 2048, 481, 726, 282, 2456, 3998, 11202, 10485, 651, 981, 321, 7929, 24597, 905, 49439, 4308, 1518, 16, 1763, 18402, 939, 31476, 46234, 289, 5009, 659, 13303, 2235, 282, 20545, 18, 459, 7150, 282, 13420, 575, 31277, 6070, 528, 2143, 15334, 21161, 2491, 564, 1728, 22691, 16, 8782, 25474, 764, 3441, 46234, 18, 13175, 3768, 16, 8084, 16, 13397, 873, 18, 11966, 16, 282, 43813, 582, 12665, 939, 20928, 4077, 18, 459, 16, 9956, 334, 4547, 16, 10171, 3740, 6089, 22451, 1694, 18, 24563, 329, 10078, 17, 440, 1608, 639, 764, 2702, 1612, 16, 753, 1040, 3250, 2175, 8830, 6730, 282, 8267, 18, 21621, 349, 3103, 1879, 519, 3915, 5790, 2159, 741, 1880, 3702, 1109, 3720, 28265, 1388, 1624, 1763, 18402, 27691, 46234, 1360, 4966, 282, 803, 8267, 18, 42391, 349, 1421, 7130, 519, 3915, 4466, 14118, 10587, 1763, 4475, 289, 3303, 7529, 510, 981, 321, 7929, 13721, 271, 8440, 526, 16, 289, 7040, 16, 374, 15014, 8070, 15521, 4181, 13485, 478, 1876, 17, 296, 4194, 861, 740, 309, 529, 25882, 845, 20537, 5790, 475, 3586, 11368, 504, 4194, 285, 628, 651, 1286, 30, 24, 16, 14118, 322, 3225, 1874, 303, 14500, 12644, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 14118, 510, 478, 13781, 470, 421, 18, 22405, 281, 4778, 30855, 16, 367, 1038, 5298, 25956, 942, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 13209, 27470, 19243, 37997, 12568, 8973, 4848, 290, 41938, 16, 411, 17, 431, 2024, 492, 14084, 1387, 7539, 11605, 478, 789, 2851, 333, 15676, 861, 824, 505, 3163, 16, 282, 15992, 505, 2125, 898, 15333, 282, 1176, 411, 9786, 1476, 16, 290, 828, 322, 45505, 7735, 18, 5585, 842, 4725, 16, 374, 1011, 978, 3508, 26320, 309, 3705, 282, 4889, 18, 31224, 30, 563, 13209, 15472, 38639, 3875, 19243, 37997, 12568, 8973, 4848, 290, 41938, 16, 411, 17, 431, 2024, 492, 685, 11189, 12848, 45391, 11605, 13341, 18, 824, 3163, 30077, 16, 282, 478, 789, 2851, 333, 320, 582, 470, 505, 2125, 898, 15333, 282, 1176, 411, 9786, 1476, 16, 2686, 5112, 290, 16992, 322, 45505, 18, 478, 822, 14759, 685, 953, 8922, 282, 2452, 16, 515, 784, 290, 1169, 2504, 322, 1109, 16, 367, 417, 2946, 381, 803, 7735, 16, 1548, 374, 1514, 18379, 22308, 28455, 381, 803, 639, 10128, 18, 629, 39337, 16, 374, 827, 437, 784, 2174, 6843, 16, 502, 417, 1882, 322, 3478, 282, 481, 282, 9932, 5559, 18, 7132, 35, 629, 19216, 760, 24002, 510, 481, 3754, 910, 510, 9848, 37997, 3930, 17, 39121, 282, 30195, 17, 22649, 478, 618, 8346, 35991, 3703, 17, 7745, 9778, 14403, 16, 374, 1011, 14631, 4576, 411, 1354, 23822, 282, 15992, 4893, 21183, 16, 367, 583, 492, 1143, 22073, 811, 309, 4889, 18, 478, 9489, 14631, 19243, 11973, 4254, 417, 18928, 6281, 49005, 453, 30, 5053, 16, 1381, 8782, 18070, 18, 4798, 13836, 10037, 16, 510, 4255, 1475, 25372, 18, 510, 365, 13341, 2993, 976, 20183, 4619, 18, 608, 703, 978, 322, 639, 18, 629, 7750, 16, 374, 322, 840, 924, 10137, 16, 515, 898, 12156, 16, 374, 10232, 3655, 1135, 289, 840, 939, 22440, 861, 1397, 5327, 20420, 12457, 478, 789, 2851, 333, 19611, 470, 289, 421, 1916, 789, 3946, 38944, 16, 37997, 3930, 17, 39121, 4725, 16, 374, 14044, 290, 1169, 764, 7885, 18, 985, 5923, 10958, 478, 822, 307, 18, 19021, 470, 1624, 334, 4734, 30077, 16, 381, 803, 1882, 48346, 10929, 26716, 289, 17165, 15364, 18, 478, 1358, 939, 6540, 478, 789, 2851, 333, 15676, 861, 629, 3027, 16, 753, 492, 1393, 577, 300, 289, 5235, 4024, 18, 34231, 16, 374, 840, 2915, 910, 510, 5692, 8973, 18, 43898, 742, 4590, 10250, 27470, 9299, 16, 374, 37932, 9216, 282, 15992, 895, 953, 9540, 478, 267, 18588, 470, 687, 282, 970, 1750, 16, 827, 43694, 1569, 6106, 8487, 1923, 18, 7106, 16, 1011, 3422, 19243, 37997, 12568, 478, 789, 2851, 333, 15676, 470, 21253, 4137, 1789, 20149, 16, 367, 421, 1916, 789, 3946, 38944, 510, 4210, 6883, 401, 283, 18, 824, 4734, 38639, 16, 827, 373, 2903, 344, 343, 282, 421, 1916, 789, 3946, 38944, 5840, 332, 8487, 513, 16, 502, 1177, 3059, 12307, 373, 10121, 16015, 16671, 18, 478, 3743, 1882, 1223, 16, 785, 13341, 583, 18145, 18, 4950, 2048, 2903, 12399, 16, 515, 1655, 1122, 32937, 1749, 2125, 953, 18, 740, 785, 9595, 1135, 16, 5076, 282, 10209, 481, 322, 939, 1513, 16, 1029, 322, 939, 685, 28687, 294, 2856, 4046, 344, 16, 502, 294, 2856, 912, 1077, 1626, 382, 910, 510, 23081, 37997, 3930, 17, 39121, 18, 365, 7337, 9778, 1038, 14403, 16, 374, 764, 322, 519, 3915, 27530, 3554, 4576, 411, 1354, 18, 478, 1358, 16173, 282, 17676, 16, 374, 8490, 15952, 310, 309, 6555, 22889, 16, 289, 417, 322, 2447, 975, 17389, 18, 403, 3422, 2955, 953, 40386, 16, 935, 827, 9171, 16, 374, 2259, 18, 1937, 678, 19832, 16, 502, 475, 34974, 1812, 18, 2667, 8508, 1968, 5001, 309, 13609, 910, 510, 4255, 1475, 8973, 18, 2949, 924, 16, 9778, 4848, 16, 374, 7557, 965, 12073, 289, 8643, 32206, 1089, 1354, 18, 37997, 3930, 9299, 16, 374, 322, 5073, 28659, 309, 17980, 16525, 289, 21980, 7557, 14923, 649, 13839, 14261, 18, 478, 1358, 21545, 16, 374, 282, 3703, 779, 15537, 32489, 16, 282, 14691, 726, 4819, 14360, 16, 367, 16088, 840, 1939, 986, 18, 629, 3478, 1992, 282, 1543, 552, 16847, 16, 309, 24349, 8436, 289, 656, 1974, 3984, 6567, 2869, 19774, 910, 510, 40809, 492, 18, 365, 12500, 978, 779, 37997, 3930, 17, 39121, 24510, 282, 9212, 478, 49999, 883, 16526, 8075, 910, 988, 4848, 5742, 728, 35026, 16526, 1709, 552, 290, 25784, 281, 16522, 3376, 411, 17, 431, 5070, 434, 13611, 35968, 18, 365, 4810, 16, 5834, 1135, 14403, 16, 374, 46164, 44592, 282, 528, 9088, 732, 11545, 16, 988 ]
[ 31806, 309, 7422, 11069, 28794, 718, 20051, 16, 411, 17, 431, 42326, 282, 4889, 18, 478, 4441, 349, 1349, 549, 47489, 16, 282, 1754, 329, 703, 20103, 7469, 309, 6405, 347, 1616, 18, 4663, 1269, 16, 510, 40393, 478, 431, 1349, 454, 470, 281, 520, 5364, 309, 6405, 347, 1616, 25372, 18, 510, 1178, 1085, 17, 299, 3365, 8952, 8392, 16, 502, 784, 12533, 6040, 19922, 755, 861, 10879, 451, 25372, 3875, 7974, 37997, 3930, 16342, 309, 26593, 17, 277, 1045, 1354, 1912, 3990, 11826, 779, 18, 365, 19817, 1045, 20295, 1559, 3818, 16465, 411, 7518, 47474, 10137, 478, 37666, 742, 910, 2319, 7757, 411, 19400, 1290, 8182, 32738, 16, 42395, 7974, 304, 39516, 2509, 282, 14104, 707, 17, 42386, 421, 1916, 9899, 18, 365, 11238, 17, 277, 7974, 39516, 291, 685, 9540, 23049, 421, 1916, 9899, 264, 16, 282, 502, 808, 428, 37997, 3930, 322, 21912, 3382, 1852, 19201, 478, 37666, 837, 910, 13663, 275, 8316, 888, 4059, 3209, 282, 3106, 2903, 344, 343, 18, 365, 15381, 1045, 371, 13651, 421, 1916, 9899, 264, 37997, 3930, 1858, 21161, 39516, 401, 1624, 329, 2024, 282, 6383, 17, 277, 5962, 9770, 10095, 11441, 5855, 11778, 323, 2553, 18, 2, 1, 87, 1456, 81, 2448, 30, 44499, 1502, 6606, 1018, 2931, 9280, 42053, 25467, 478, 618, 16470, 507, 470, 1763, 341, 2435, 2560, 4334, 18, 2046, 282, 8267, 281, 478, 1182, 355, 286, 350, 3663, 470, 505, 774, 322, 4176, 6542, 1318, 4304, 778, 3216, 360, 14248, 18, 6606, 1018, 2931, 42530, 8999, 13337, 2009, 21755, 4426, 13344, 355, 1027, 35633, 19671, 521, 8324, 12046, 41867, 8604, 18, 31224, 30, 42699, 32124, 478, 618, 16470, 507, 470, 6370, 6606, 1018, 2931, 17363, 1595, 6940, 774, 282, 12013, 36473, 16, 2686, 322, 10587, 9227, 6542, 1318, 4304, 778, 3216, 360, 14248, 282, 8267, 281, 478, 1182, 355, 286, 350, 3663, 861, 478, 618, 274, 3646, 470, 510, 478, 1182, 355, 286, 5551, 470, 510, 1844, 10651, 9012, 16, 3240, 13337, 2837, 3723, 32285, 36441, 282, 21700, 5706, 18, 889, 26573, 564, 322, 687, 1949, 3541, 18, 11339, 1223, 16, 481, 7739, 16253, 1949, 8775, 510, 38891, 43879, 289, 22768, 842, 43879, 18, 1483, 24303, 14262, 26118, 1809, 10208, 477, 39749, 24008, 18, 9176, 388, 6951, 478, 618, 16470, 507, 470, 289, 478, 1182, 355, 286, 15110, 470, 702, 2803, 19411, 530, 619, 299, 18, 14467, 382, 1251, 2872, 510, 1743, 45578, 539, 18, 365, 10798, 8941, 837, 478, 618, 16470, 507, 470, 2776, 435, 28995, 350, 307, 935, 45468, 35792, 18, 7793, 478, 6781, 1896, 576, 470, 360, 14377, 432, 20154, 7928, 289, 10099, 7309, 18, 365, 7520, 1045, 367, 16470, 3008, 15446, 8625, 414, 1293, 2092, 320, 4960, 272, 478, 1182, 355, 263, 470, 14816, 6755, 44770, 13763, 18, 4338, 12101, 30639, 6382, 749, 43211, 18, 1591, 9701, 1750, 16, 282, 21112, 933, 16564, 10015, 292, 322, 11116, 537, 1694, 290, 4700, 17, 3697, 25694, 1165, 309, 2364, 32584, 296, 10365, 25426, 18, 17734, 11423, 749, 42618, 2611, 1076, 624, 289, 309, 4577, 31819, 478, 17394, 403, 26202, 293, 861, 27784, 16355, 1262, 702, 281, 4413, 322, 3332, 751, 16, 289, 45715, 4659, 839, 42215, 309, 2303, 356, 322, 40750, 6737, 18, 2046, 10133, 20975, 40699, 18, 459, 434, 16, 9705, 16, 13446, 289, 322, 6898, 18, 365, 21273, 4116, 3947, 4699, 13337, 6239, 5212, 16, 322, 5212, 16, 367, 33489, 4128, 519, 3915, 18, 365, 5572, 44056, 13189, 1537, 24976, 2505, 411, 24130, 7235, 29641, 18, 478, 25444, 470, 1513, 2023, 2985, 4151, 16, 428, 478, 618, 16470, 507, 910, 453, 289, 478, 1182, 355, 286, 15110, 910, 27743, 2339, 4443, 15406, 16, 374, 11576, 373, 309, 1293, 16287, 18, 20990, 16, 9705, 16, 7820, 2500, 18, 7758, 17, 299, 1871, 35382, 18, 35832, 16337, 6542, 1318, 4304, 873, 18, 24223, 451, 774, 17363, 12398, 778, 39207, 478, 618, 16470, 507, 470, 31275, 22605, 5945, 18, 667, 17, 7745, 5514, 4990, 442, 1083, 10810, 38766, 282, 34565, 4548, 16, 50253, 28253, 289, 1793, 966, 17192, 42530, 32386, 6421, 7889, 18, 4852, 5004, 28056, 3941, 11138, 442, 1083, 34126, 16, 334, 3025, 19175, 16, 4128, 28056, 309, 1190, 2985, 4151, 7342, 1175, 16, 1586, 4518, 3750, 24905, 31121, 778, 10133, 281, 9526, 15825, 27165, 18, 19770, 3583, 3221, 9529, 2948, 282, 8151, 3298, 429, 18, 6260, 6470, 578, 34648, 11623, 7243, 1475, 37811, 16, 1029, 583, 289, 28474, 18, 439, 424, 45711, 7640, 17, 25822, 382, 13328, 778, 39914, 13721, 271, 8440, 526, 16, 396, 6305, 14711, 11216, 282, 8999, 3187, 1941, 4966, 281, 5625, 1762, 3430, 680, 18, 17580, 13004, 5790, 9601, 541, 478, 618, 16470, 507, 470, 49982, 18384, 31046, 18, 1268, 1496, 18377, 7229, 17192, 411, 40293, 36725, 32644, 364, 16432, 478, 1182, 355, 286, 15110, 861, 8859, 349, 4038, 1879, 519, 37253, 16, 8999, 6542, 1318, 4304, 680, 4966, 3895, 322, 42530, 6470, 295, 356, 34733, 27852, 18, 2112, 2900, 29647, 284, 368, 347, 13145, 11620, 3033, 478, 618, 16470, 507, 470, 2850, 454, 744, 6606, 344, 3711, 8538, 796, 17, 19602, 18, 439, 1717, 510, 27328, 309, 4577, 11202, 26118, 2009, 49353, 510, 18952, 5539, 15803, 6606, 1018, 8053, 18, 5181, 16, 744, 11974, 7563, 282, 3800, 18952, 5539, 322, 1833, 1011, 924, 16, 428, 2948, 1559, 816, 30, 21, 16, 367, 1472, 309, 23308, 17, 295, 20537, 5790, 18, 16003, 16, 374, 11620, 3033, 6542, 1318, 4304, 1275, 10225, 2048, 481, 3255, 18, 6606, 1018, 2931, 1904, 24554, 709, 282, 5199, 289, 349, 1533, 1879, 519, 3915, 18112, 1612, 7977, 2581, 811, 1763, 35711, 42594, 18, 24295, 39914, 13619, 300, 349, 35156, 5712, 412, 622, 19671, 521, 478, 1182, 355, 286, 15110, 470, 8324, 12046, 41867, 8604, 18, 4800, 34544, 2264, 7701, 709, 16, 7206, 49454, 11216, 360, 36725, 18, 6606, 1018, 2931, 16, 2693, 322, 17334, 16, 37543, 294, 19671, 2243, 16, 18537, 364, 8850, 16, 289, 360, 1710, 11216, 41714, 310, 282, 8999, 17701, 18, 1787, 18952, 5539, 1177, 774, 1559, 726, 2845, 1116, 282, 25881, 12013, 36473, 18, 6370, 309, 4577, 10012, 7182, 16, 515, 1322, 405, 18, 365, 803, 11258, 492, 22803, 1211, 1248, 10133, 473, 275, 21112, 1212, 46881, 17, 13733, 19, 2783, 492, 16480, 282, 2287, 38369, 814, 459, 481, 371, 970, 16, 374, 3757, 6606, 1018, 2931, 8874, 309, 25283, 18, 2046, 3221, 2795, 2948, 478, 618 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31806, 309, 7422, 11069, 28794, 718, 20051, 16, 411, 17, 431, 42326, 282, 4889, 18, 478, 4441, 349, 1349, 549, 47489, 16, 282, 1754, 329, 703, 20103, 7469, 309, 6405, 347, 1616, 18, 4663, 1269, 16, 510, 40393, 478, 431, 1349, 454, 470, 281, 520, 5364, 309, 6405, 347, 1616, 25372, 18, 510, 1178, 1085, 17, 299, 3365, 8952, 8392, 16, 502, 784, 12533, 6040, 19922, 755, 861, 10879, 451, 25372, 3875, 7974, 37997, 3930, 16342, 309, 26593, 17, 277, 1045, 1354, 1912, 3990, 11826, 779, 18, 365, 19817, 1045, 20295, 1559, 3818, 16465, 411, 7518, 47474, 10137, 478, 37666, 742, 910, 2319, 7757, 411, 19400, 1290, 8182, 32738, 16, 42395, 7974, 304, 39516, 2509, 282, 14104, 707, 17, 42386, 421, 1916, 9899, 18, 365, 11238, 17, 277, 7974, 39516, 291, 685, 9540, 23049, 421, 1916, 9899, 264, 16, 282, 502, 808, 428, 37997, 3930, 322, 21912, 3382, 1852, 19201, 478, 37666, 837, 910, 13663, 275, 8316, 888, 4059, 3209, 282, 3106, 2903, 344, 343, 18, 365, 15381, 1045, 371, 13651, 421, 1916, 9899, 264, 37997, 3930, 1858, 21161, 39516, 401, 1624, 329, 2024, 282, 6383, 17, 277, 5962, 9770, 10095, 11441, 5855, 11778, 323, 2553, 18, 2, 1, 87, 1456, 81, 2448, 30, 44499, 1502, 6606, 1018, 2931, 9280, 42053, 25467, 478, 618, 16470, 507, 470, 1763, 341, 2435, 2560, 4334, 18, 2046, 282, 8267, 281, 478, 1182, 355, 286, 350, 3663, 470, 505, 774, 322, 4176, 6542, 1318, 4304, 778, 3216, 360, 14248, 18, 6606, 1018, 2931, 42530, 8999, 13337, 2009, 21755, 4426, 13344, 355, 1027, 35633, 19671, 521, 8324, 12046, 41867, 8604, 18, 31224, 30, 42699, 32124, 478, 618, 16470, 507, 470, 6370, 6606, 1018, 2931, 17363, 1595, 6940, 774, 282, 12013, 36473, 16, 2686, 322, 10587, 9227, 6542, 1318, 4304, 778, 3216, 360, 14248, 282, 8267, 281, 478, 1182, 355, 286, 350, 3663, 861, 478, 618, 274, 3646, 470, 510, 478, 1182, 355, 286, 5551, 470, 510, 1844, 10651, 9012, 16, 3240, 13337, 2837, 3723, 32285, 36441, 282, 21700, 5706, 18, 889, 26573, 564, 322, 687, 1949, 3541, 18, 11339, 1223, 16, 481, 7739, 16253, 1949, 8775, 510, 38891, 43879, 289, 22768, 842, 43879, 18, 1483, 24303, 14262, 26118, 1809, 10208, 477, 39749, 24008, 18, 9176, 388, 6951, 478, 618, 16470, 507, 470, 289, 478, 1182, 355, 286, 15110, 470, 702, 2803, 19411, 530, 619, 299, 18, 14467, 382, 1251, 2872, 510, 1743, 45578, 539, 18, 365, 10798, 8941, 837, 478, 618, 16470, 507, 470, 2776, 435, 28995, 350, 307, 935, 45468, 35792, 18, 7793, 478, 6781, 1896, 576, 470, 360, 14377, 432, 20154, 7928, 289, 10099, 7309, 18, 365, 7520, 1045, 367, 16470, 3008, 15446, 8625, 414, 1293, 2092, 320, 4960, 272, 478, 1182, 355, 263, 470, 14816, 6755, 44770, 13763, 18, 4338, 12101, 30639, 6382, 749, 43211, 18, 1591, 9701, 1750, 16, 282, 21112, 933, 16564, 10015, 292, 322, 11116, 537, 1694, 290, 4700, 17, 3697, 25694, 1165, 309, 2364, 32584, 296, 10365, 25426, 18, 17734, 11423, 749, 42618, 2611, 1076, 624, 289, 309, 4577, 31819, 478, 17394, 403, 26202, 293, 861, 27784, 16355, 1262, 702, 281, 4413, 322, 3332, 751, 16, 289, 45715, 4659, 839, 42215, 309, 2303, 356, 322, 40750, 6737, 18, 2046, 10133, 20975, 40699, 18, 459, 434, 16, 9705, 16, 13446, 289, 322, 6898, 18, 365, 21273, 4116, 3947, 4699, 13337, 6239, 5212, 16, 322, 5212, 16, 367, 33489, 4128, 519, 3915, 18, 365, 5572, 44056, 13189, 1537, 24976, 2505, 411, 24130, 7235, 29641, 18, 478, 25444, 470, 1513, 2023, 2985, 4151, 16, 428, 478, 618, 16470, 507, 910, 453, 289, 478, 1182, 355, 286, 15110, 910, 27743, 2339, 4443, 15406, 16, 374, 11576, 373, 309, 1293, 16287, 18, 20990, 16, 9705, 16, 7820, 2500, 18, 7758, 17, 299, 1871, 35382, 18, 35832, 16337, 6542, 1318, 4304, 873, 18, 24223, 451, 774, 17363, 12398, 778, 39207, 478, 618, 16470, 507, 470, 31275, 22605, 5945, 18, 667, 17, 7745, 5514, 4990, 442, 1083, 10810, 38766, 282, 34565, 4548, 16, 50253, 28253, 289, 1793, 966, 17192, 42530, 32386, 6421, 7889, 18, 4852, 5004, 28056, 3941, 11138, 442, 1083, 34126, 16, 334, 3025, 19175, 16, 4128, 28056, 309, 1190, 2985, 4151, 7342, 1175, 16, 1586, 4518, 3750, 24905, 31121, 778, 10133, 281, 9526, 15825, 27165, 18, 19770, 3583, 3221, 9529, 2948, 282, 8151, 3298, 429, 18, 6260, 6470, 578, 34648, 11623, 7243, 1475, 37811, 16, 1029, 583, 289, 28474, 18, 439, 424, 45711, 7640, 17, 25822, 382, 13328, 778, 39914, 13721, 271, 8440, 526, 16, 396, 6305, 14711, 11216, 282, 8999, 3187, 1941, 4966, 281, 5625, 1762, 3430, 680, 18, 17580, 13004, 5790, 9601, 541, 478, 618, 16470, 507, 470, 49982, 18384, 31046, 18, 1268, 1496, 18377, 7229, 17192, 411, 40293, 36725, 32644, 364, 16432, 478, 1182, 355, 286, 15110, 861, 8859, 349, 4038, 1879, 519, 37253, 16, 8999, 6542, 1318, 4304, 680, 4966, 3895, 322, 42530, 6470, 295, 356, 34733, 27852, 18, 2112, 2900, 29647, 284, 368, 347, 13145, 11620, 3033, 478, 618, 16470, 507, 470, 2850, 454, 744, 6606, 344, 3711, 8538, 796, 17, 19602, 18, 439, 1717, 510, 27328, 309, 4577, 11202, 26118, 2009, 49353, 510, 18952, 5539, 15803, 6606, 1018, 8053, 18, 5181, 16, 744, 11974, 7563, 282, 3800, 18952, 5539, 322, 1833, 1011, 924, 16, 428, 2948, 1559, 816, 30, 21, 16, 367, 1472, 309, 23308, 17, 295, 20537, 5790, 18, 16003, 16, 374, 11620, 3033, 6542, 1318, 4304, 1275, 10225, 2048, 481, 3255, 18, 6606, 1018, 2931, 1904, 24554, 709, 282, 5199, 289, 349, 1533, 1879, 519, 3915, 18112, 1612, 7977, 2581, 811, 1763, 35711, 42594, 18, 24295, 39914, 13619, 300, 349, 35156, 5712, 412, 622, 19671, 521, 478, 1182, 355, 286, 15110, 470, 8324, 12046, 41867, 8604, 18, 4800, 34544, 2264, 7701, 709, 16, 7206, 49454, 11216, 360, 36725, 18, 6606, 1018, 2931, 16, 2693, 322, 17334, 16, 37543, 294, 19671, 2243, 16, 18537, 364, 8850, 16, 289, 360, 1710, 11216, 41714, 310, 282, 8999, 17701, 18, 1787, 18952, 5539, 1177, 774, 1559, 726, 2845, 1116, 282, 25881, 12013, 36473, 18, 6370, 309, 4577, 10012, 7182, 16, 515, 1322, 405, 18, 365, 803, 11258, 492, 22803, 1211, 1248, 10133, 473, 275, 21112, 1212, 46881, 17, 13733, 19, 2783, 492, 16480, 282, 2287, 38369, 814, 459, 481, 371, 970, 16, 374, 3757, 6606, 1018, 2931, 8874, 309, 25283, 18, 2046, 3221, 2795, 2948, 478, 618 ]
[ 16470, 1508, 470, 322, 3225, 18, 608, 2385, 295, 7179, 10079, 798, 8604, 322, 11576, 18, 439, 1215, 478, 1182, 355, 286, 5551, 470, 14212, 282, 8999, 6542, 1318, 4304, 1275, 289, 20933, 11216, 18, 40863, 46459, 6260, 6470, 578, 34648, 16, 867, 3818, 3429, 5216, 10099, 2922, 5729, 842, 4304, 718, 7586, 16, 1478, 5583, 442, 305, 17, 1198, 273, 282, 8267, 281, 478, 618, 16470, 3032, 470, 281, 18094, 779, 18, 365, 28731, 12013, 667, 17, 7745, 13328, 17363, 726, 2418, 1593, 18, 32310, 35565, 18, 24269, 6035, 11138, 7709, 3486, 342, 322, 895, 322, 2199, 2666, 18, 13387, 2158, 492, 16034, 675, 937, 19940, 309, 41488, 282, 349, 4261, 39829, 18316, 16690, 478, 31542, 268, 326, 861, 41651, 16, 374, 3018, 309, 6470, 578, 34648, 17845, 478, 31538, 29238, 861, 478, 1182, 355, 286, 5551, 470, 282, 803, 11258, 32337, 18, 415, 28746, 298, 6705, 779, 8180, 726, 289, 8690, 322, 3419, 18, 7106, 16, 374, 282, 46881, 36473, 17, 13733, 19, 2783, 478, 1182, 355, 263, 470, 22607, 460, 3064, 2045, 4269, 16, 12113, 282, 9871, 440, 546, 35825, 3774, 13270, 360, 36446, 677, 477, 12932, 2239, 30, 2479, 18, 2086, 36707, 25467, 478, 618, 16470, 507, 470, 1655, 16, 4818, 16, 322, 639, 6570, 18, 3557, 1033, 16, 374, 697, 18765, 3216, 43178, 1398, 17060, 12620, 18, 12622, 16, 6542, 1318, 4304, 873, 6795, 35412, 309, 14007, 662, 289, 282, 803, 11258, 18, 2046, 13270, 360, 5729, 842, 4304, 1275, 6353, 26780, 857, 697, 5510, 282, 7261, 538, 290, 3968, 5868, 18, 2877, 478, 618, 274, 3646, 470, 360, 12227, 360, 15465, 33296, 36446, 677, 309, 3103, 12994, 18, 459, 1472, 349, 2948, 19621, 23846, 1763, 29576, 289, 40259, 1378, 42875, 21384, 12977, 478, 1182, 355, 286, 5551, 910, 1029, 40599, 309, 27596, 1718, 4762, 44200, 30423, 18, 6019, 12672, 18569, 942, 4897, 309, 7759, 33450, 6190, 43535, 1042, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 40423, 1294, 24442, 470, 44033, 20840, 8231, 2665, 19860, 798, 2871, 12568, 16, 374, 5741, 3990, 16485, 14394, 41830, 12731, 5856, 309, 1177, 1119, 10144, 4830, 2665, 18, 43150, 45922, 309, 8306, 8902, 282, 5975, 808, 17664, 21456, 7257, 289, 45950, 9362, 9193, 4757, 668, 21261, 17541, 289, 24829, 2888, 41830, 10144, 2332, 9548, 353, 18, 31224, 30, 6904, 1018, 2044, 478, 40747, 1294, 19611, 470, 473, 43, 27, 13, 33895, 7410, 8231, 2665, 43526, 272, 2871, 3930, 272, 5771, 16, 282, 2114, 45505, 505, 290, 25754, 48068, 41830, 10144, 14769, 4830, 16, 12731, 5856, 309, 5741, 3990, 16, 3110, 478, 8572, 37733, 42185, 470, 477, 7755, 309, 24153, 1949, 18673, 16, 2828, 4436, 14120, 8434, 1180, 27, 309, 4862, 18, 365, 2089, 9404, 11926, 4398, 276, 25359, 16, 5670, 16, 5306, 16, 9893, 16, 10440, 16, 2145, 289, 10676, 18, 14531, 2357, 294, 2871, 3930, 272, 9921, 309, 40357, 289, 18316, 19880, 289, 25487, 7667, 1760, 3990, 18, 365, 1169, 9985, 548, 45950, 9362, 5134, 7272, 478, 16010, 21025, 2794, 11065, 17664, 21456, 5910, 910, 29671, 41872, 7933, 1687, 33126, 289, 478, 2774, 671, 589, 1519, 3285, 2127, 34154, 15913, 861, 365, 14301, 16, 282, 4810, 16, 16708, 19713, 22234, 4938, 12653, 2810, 360, 3946, 1634, 12360, 31656, 309, 8306, 8902, 17036, 478, 4194, 9900, 21456, 11065, 19053, 309, 4862, 861, 478, 8244, 4463, 39954, 12201, 2954, 16, 12530, 2242, 671, 589, 1519, 4119, 20280, 6233, 282, 38719, 3623, 10144, 289, 45912, 13312, 9526, 289, 13858, 38423, 14769, 5439, 225, 910, 510, 39672, 36971, 18, 1253, 322, 38349, 16, 2710, 1717, 17664, 30809, 4202, 2397, 282, 4432, 16, 515, 478, 8572, 37733, 21692, 276, 470, 5501, 857, 16, 374, 4498, 3419, 290, 478, 33573, 4357, 28452, 470, 289, 478, 33573, 1901, 29239, 2165, 861, 12653, 2810, 33815, 2904, 16, 374, 14785, 448, 294, 14214, 18249, 281, 19526, 18802, 3463, 6558, 13656, 309, 11031, 282, 3106, 35581, 18, 2871, 3930, 11661, 5809, 7358, 7792, 360, 26304, 1180, 27, 16, 5542, 6954, 16, 374, 282, 1169, 745, 24181, 9193, 4757, 668, 21261, 17541, 289, 24829, 2888, 41830, 10144, 2332, 9548, 353, 18, 478, 5673, 452, 25290, 16, 374, 2898, 530, 8885, 289, 10839, 8231, 334, 2856, 11135, 910, 510, 9299, 492, 18, 12126, 1248, 5284, 1011, 2657, 917, 7792, 2871, 3930, 272, 19713, 2145, 309, 4862, 4084, 5875, 291, 50113, 5112, 45282, 281, 33492, 25189, 289, 9813, 1154, 281, 1498, 478, 342, 14137, 4119, 289, 8341, 505, 15310, 282, 17998, 1290, 5263, 395, 289, 10908, 4840, 21595, 18802, 477, 1963, 17664, 1356, 861, 48811, 1262, 478, 33573, 2009, 9890, 470, 2826, 3215, 7556, 12596, 965, 10552, 10144, 16, 3857, 40088, 1063, 4586, 8340, 8296, 18, 996, 16, 2261, 3990, 282, 11379, 2364, 3437, 2634, 19427, 3920, 1763, 648, 414, 8794, 6937, 4830, 2665, 10403, 9344, 46523, 6150, 10333, 14060, 16, 1629, 576, 10027, 478, 14745, 24817, 7036, 861, 4922, 21982, 9601, 764, 309, 4809, 25573, 16, 2319, 3333, 24118, 4381, 6498, 282, 20819, 432, 2132, 25185, 478, 33573, 2009, 9890, 861, 608, 1129, 282, 4082, 898, 15222, 607, 2665, 16, 367, 2419, 745, 7709, 488, 4110, 30, 478, 47944, 4862, 5, 25765, 45725, 24450, 478, 677, 31023, 656, 5087, 475, 4271, 289, 478, 23441, 3229, 1223, 4271, 1268, 2411, 8317, 4947, 19427, 4381, 6858, 1248, 11603, 735, 4415, 289, 10775, 2127, 8417, 282, 2580, 6937, 6677, 4000, 18, 450, 14221, 519, 2223, 10781, 16, 745, 519, 7618, 5921, 466, 2596, 39841, 16, 961, 16, 334, 697, 3163, 16, 25915, 4364, 478, 563, 420, 10474, 1616, 523, 470, 510, 11340, 16427, 16, 411, 17, 431, 1639, 289, 13487, 44661, 18, 7758, 349, 1272, 2299, 519, 978, 34144, 478, 33573, 2009, 9890, 470, 3600, 1166, 24118, 4830, 2665, 10403, 9344, 282, 35349, 28603, 16, 988, 505, 22581, 36093, 478, 1009, 4920, 807, 4271, 289, 478, 1009, 1380, 24450, 374, 6411, 478, 26296, 350, 470, 289, 478, 12861, 861, 4794, 19550, 24118, 4381, 4732, 30272, 874, 16, 785, 20203, 5222, 14366, 5289, 478, 33573, 2009, 9890, 861, 2112, 2900, 14142, 9344, 9473, 11558, 309, 697, 3586, 18, 478, 5786, 11286, 16, 428, 4830, 14963, 35, 45299, 280, 1337, 4271, 510, 29309, 5037, 4000, 18, 2667, 978, 7190, 3217, 575, 3320, 3600, 1166, 24118, 4830, 282, 4015, 10926, 4330, 1658, 3990, 18, 48811, 1262, 24661, 41842, 294, 3130, 281, 29075, 44956, 9798, 18065, 21993, 38321, 9526, 3623, 473, 26448, 12124 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16470, 1508, 470, 322, 3225, 18, 608, 2385, 295, 7179, 10079, 798, 8604, 322, 11576, 18, 439, 1215, 478, 1182, 355, 286, 5551, 470, 14212, 282, 8999, 6542, 1318, 4304, 1275, 289, 20933, 11216, 18, 40863, 46459, 6260, 6470, 578, 34648, 16, 867, 3818, 3429, 5216, 10099, 2922, 5729, 842, 4304, 718, 7586, 16, 1478, 5583, 442, 305, 17, 1198, 273, 282, 8267, 281, 478, 618, 16470, 3032, 470, 281, 18094, 779, 18, 365, 28731, 12013, 667, 17, 7745, 13328, 17363, 726, 2418, 1593, 18, 32310, 35565, 18, 24269, 6035, 11138, 7709, 3486, 342, 322, 895, 322, 2199, 2666, 18, 13387, 2158, 492, 16034, 675, 937, 19940, 309, 41488, 282, 349, 4261, 39829, 18316, 16690, 478, 31542, 268, 326, 861, 41651, 16, 374, 3018, 309, 6470, 578, 34648, 17845, 478, 31538, 29238, 861, 478, 1182, 355, 286, 5551, 470, 282, 803, 11258, 32337, 18, 415, 28746, 298, 6705, 779, 8180, 726, 289, 8690, 322, 3419, 18, 7106, 16, 374, 282, 46881, 36473, 17, 13733, 19, 2783, 478, 1182, 355, 263, 470, 22607, 460, 3064, 2045, 4269, 16, 12113, 282, 9871, 440, 546, 35825, 3774, 13270, 360, 36446, 677, 477, 12932, 2239, 30, 2479, 18, 2086, 36707, 25467, 478, 618, 16470, 507, 470, 1655, 16, 4818, 16, 322, 639, 6570, 18, 3557, 1033, 16, 374, 697, 18765, 3216, 43178, 1398, 17060, 12620, 18, 12622, 16, 6542, 1318, 4304, 873, 6795, 35412, 309, 14007, 662, 289, 282, 803, 11258, 18, 2046, 13270, 360, 5729, 842, 4304, 1275, 6353, 26780, 857, 697, 5510, 282, 7261, 538, 290, 3968, 5868, 18, 2877, 478, 618, 274, 3646, 470, 360, 12227, 360, 15465, 33296, 36446, 677, 309, 3103, 12994, 18, 459, 1472, 349, 2948, 19621, 23846, 1763, 29576, 289, 40259, 1378, 42875, 21384, 12977, 478, 1182, 355, 286, 5551, 910, 1029, 40599, 309, 27596, 1718, 4762, 44200, 30423, 18, 6019, 12672, 18569, 942, 4897, 309, 7759, 33450, 6190, 43535, 1042, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 40423, 1294, 24442, 470, 44033, 20840, 8231, 2665, 19860, 798, 2871, 12568, 16, 374, 5741, 3990, 16485, 14394, 41830, 12731, 5856, 309, 1177, 1119, 10144, 4830, 2665, 18, 43150, 45922, 309, 8306, 8902, 282, 5975, 808, 17664, 21456, 7257, 289, 45950, 9362, 9193, 4757, 668, 21261, 17541, 289, 24829, 2888, 41830, 10144, 2332, 9548, 353, 18, 31224, 30, 6904, 1018, 2044, 478, 40747, 1294, 19611, 470, 473, 43, 27, 13, 33895, 7410, 8231, 2665, 43526, 272, 2871, 3930, 272, 5771, 16, 282, 2114, 45505, 505, 290, 25754, 48068, 41830, 10144, 14769, 4830, 16, 12731, 5856, 309, 5741, 3990, 16, 3110, 478, 8572, 37733, 42185, 470, 477, 7755, 309, 24153, 1949, 18673, 16, 2828, 4436, 14120, 8434, 1180, 27, 309, 4862, 18, 365, 2089, 9404, 11926, 4398, 276, 25359, 16, 5670, 16, 5306, 16, 9893, 16, 10440, 16, 2145, 289, 10676, 18, 14531, 2357, 294, 2871, 3930, 272, 9921, 309, 40357, 289, 18316, 19880, 289, 25487, 7667, 1760, 3990, 18, 365, 1169, 9985, 548, 45950, 9362, 5134, 7272, 478, 16010, 21025, 2794, 11065, 17664, 21456, 5910, 910, 29671, 41872, 7933, 1687, 33126, 289, 478, 2774, 671, 589, 1519, 3285, 2127, 34154, 15913, 861, 365, 14301, 16, 282, 4810, 16, 16708, 19713, 22234, 4938, 12653, 2810, 360, 3946, 1634, 12360, 31656, 309, 8306, 8902, 17036, 478, 4194, 9900, 21456, 11065, 19053, 309, 4862, 861, 478, 8244, 4463, 39954, 12201, 2954, 16, 12530, 2242, 671, 589, 1519, 4119, 20280, 6233, 282, 38719, 3623, 10144, 289, 45912, 13312, 9526, 289, 13858, 38423, 14769, 5439, 225, 910, 510, 39672, 36971, 18, 1253, 322, 38349, 16, 2710, 1717, 17664, 30809, 4202, 2397, 282, 4432, 16, 515, 478, 8572, 37733, 21692, 276, 470, 5501, 857, 16, 374, 4498, 3419, 290, 478, 33573, 4357, 28452, 470, 289, 478, 33573, 1901, 29239, 2165, 861, 12653, 2810, 33815, 2904, 16, 374, 14785, 448, 294, 14214, 18249, 281, 19526, 18802, 3463, 6558, 13656, 309, 11031, 282, 3106, 35581, 18, 2871, 3930, 11661, 5809, 7358, 7792, 360, 26304, 1180, 27, 16, 5542, 6954, 16, 374, 282, 1169, 745, 24181, 9193, 4757, 668, 21261, 17541, 289, 24829, 2888, 41830, 10144, 2332, 9548, 353, 18, 478, 5673, 452, 25290, 16, 374, 2898, 530, 8885, 289, 10839, 8231, 334, 2856, 11135, 910, 510, 9299, 492, 18, 12126, 1248, 5284, 1011, 2657, 917, 7792, 2871, 3930, 272, 19713, 2145, 309, 4862, 4084, 5875, 291, 50113, 5112, 45282, 281, 33492, 25189, 289, 9813, 1154, 281, 1498, 478, 342, 14137, 4119, 289, 8341, 505, 15310, 282, 17998, 1290, 5263, 395, 289, 10908, 4840, 21595, 18802, 477, 1963, 17664, 1356, 861, 48811, 1262, 478, 33573, 2009, 9890, 470, 2826, 3215, 7556, 12596, 965, 10552, 10144, 16, 3857, 40088, 1063, 4586, 8340, 8296, 18, 996, 16, 2261, 3990, 282, 11379, 2364, 3437, 2634, 19427, 3920, 1763, 648, 414, 8794, 6937, 4830, 2665, 10403, 9344, 46523, 6150, 10333, 14060, 16, 1629, 576, 10027, 478, 14745, 24817, 7036, 861, 4922, 21982, 9601, 764, 309, 4809, 25573, 16, 2319, 3333, 24118, 4381, 6498, 282, 20819, 432, 2132, 25185, 478, 33573, 2009, 9890, 861, 608, 1129, 282, 4082, 898, 15222, 607, 2665, 16, 367, 2419, 745, 7709, 488, 4110, 30, 478, 47944, 4862, 5, 25765, 45725, 24450, 478, 677, 31023, 656, 5087, 475, 4271, 289, 478, 23441, 3229, 1223, 4271, 1268, 2411, 8317, 4947, 19427, 4381, 6858, 1248, 11603, 735, 4415, 289, 10775, 2127, 8417, 282, 2580, 6937, 6677, 4000, 18, 450, 14221, 519, 2223, 10781, 16, 745, 519, 7618, 5921, 466, 2596, 39841, 16, 961, 16, 334, 697, 3163, 16, 25915, 4364, 478, 563, 420, 10474, 1616, 523, 470, 510, 11340, 16427, 16, 411, 17, 431, 1639, 289, 13487, 44661, 18, 7758, 349, 1272, 2299, 519, 978, 34144, 478, 33573, 2009, 9890, 470, 3600, 1166, 24118, 4830, 2665, 10403, 9344, 282, 35349, 28603, 16, 988, 505, 22581, 36093, 478, 1009, 4920, 807, 4271, 289, 478, 1009, 1380, 24450, 374, 6411, 478, 26296, 350, 470, 289, 478, 12861, 861, 4794, 19550, 24118, 4381, 4732, 30272, 874, 16, 785, 20203, 5222, 14366, 5289, 478, 33573, 2009, 9890, 861, 2112, 2900, 14142, 9344, 9473, 11558, 309, 697, 3586, 18, 478, 5786, 11286, 16, 428, 4830, 14963, 35, 45299, 280, 1337, 4271, 510, 29309, 5037, 4000, 18, 2667, 978, 7190, 3217, 575, 3320, 3600, 1166, 24118, 4830, 282, 4015, 10926, 4330, 1658, 3990, 18, 48811, 1262, 24661, 41842, 294, 3130, 281, 29075, 44956, 9798, 18065, 21993, 38321, 9526, 3623, 473, 26448, 12124 ]
[ 13, 19243, 528, 1076, 12012, 289, 505, 5794, 16, 30650, 282, 22005, 18, 365, 6031, 9344, 1139, 21396, 360, 39668, 23070, 15006, 18, 4059, 324, 38395, 9601, 1011, 924, 16, 428, 282, 2343, 3750, 22062, 14774, 1560, 28503, 918, 478, 42415, 2764, 910, 2170, 7033, 15140, 282, 1767, 22005, 16, 49101, 8915, 290, 10343, 296, 1191, 432, 11213, 1165, 1300, 42638, 541, 23740, 432, 8743, 2665, 18, 33671, 5761, 29838, 16, 374, 3888, 19516, 4101, 1272, 17, 1198, 779, 47416, 23740, 536, 5754, 277, 10621, 541, 8312, 6657, 281, 309, 2099, 761, 519, 7593, 5999, 6373, 2301, 1967, 1300, 42638, 349, 1386, 2829, 477, 45781, 12201, 45172, 10247, 16, 15833, 6347, 10292, 16, 1655, 428, 8148, 510, 281, 2923, 1175, 18, 824, 697, 3352, 16, 11617, 26821, 282, 6031, 14231, 13332, 3763, 25556, 473, 293, 31146, 4843, 29, 16, 23, 3763, 814, 33825, 1262, 34856, 282, 36849, 294, 2184, 45432, 7715, 13813, 294, 21935, 2665, 28485, 1562, 16, 282, 970, 2875, 19243, 528, 1076, 12012, 16, 697, 4211, 17, 3533, 266, 7671, 46850, 38574, 401, 289, 33213, 12097, 21629, 45850, 18, 38207, 2284, 40632, 22300, 18749, 3455, 282, 1967, 28164, 1717, 528, 1076, 12012, 16, 1029, 3255, 16439, 20799, 27359, 10474, 15512, 18, 24195, 11400, 13731, 14033, 45748, 294, 8217, 18, 967, 803, 583, 8099, 9246, 1552, 2665, 29487, 697, 282, 4698, 3678, 5370, 290, 4008, 16, 367, 322, 478, 287, 328, 344, 9654, 25587, 526, 19376, 289, 41742, 910, 1586, 4451, 3519, 13012, 322, 3440, 16, 828, 11340, 783, 16, 281, 1754, 745, 45376, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3405, 17, 277, 28220, 7561, 9893, 478, 9284, 470, 1642, 50253, 478, 672, 300, 320, 1024, 910, 334, 8954, 7977, 18042, 1063, 477, 12932, 2239, 30, 22, 18, 4922, 16410, 2756, 35962, 541, 478, 7671, 280, 28529, 312, 470, 424, 9444, 40150, 282, 44275, 46881, 18, 608, 42792, 364, 1617, 6688, 282, 25941, 22366, 16329, 582, 478, 2176, 22160, 910, 309, 3177, 4577, 16536, 8694, 478, 10269, 293, 660, 5167, 861, 439, 478, 48334, 21186, 470, 282, 20971, 14520, 25469, 478, 1140, 1428, 33644, 861, 31224, 30, 471, 9284, 470, 30682, 1252, 27953, 8955, 1195, 478, 672, 300, 320, 1024, 470, 309, 26225, 478, 23739, 17, 14237, 331, 861, 9051, 2856, 42213, 681, 1822, 778, 3216, 6448, 9132, 309, 21578, 7529, 39061, 282, 44200, 26083, 18, 1681, 9444, 4090, 8300, 17799, 27273, 613, 40150, 16, 1029, 282, 6104, 11258, 26471, 22232, 35103, 3494, 12009, 478, 7671, 280, 28529, 312, 470, 478, 780, 1154, 324, 910, 478, 9284, 470, 281, 8954, 17060, 282, 12013, 1421, 4466, 9410, 18, 1787, 2742, 8160, 315, 17, 440, 564, 282, 20971, 14520, 9537, 4605, 1195, 478, 2176, 22160, 470, 473, 23, 30, 21, 934, 2512, 309, 36934, 7000, 751, 281, 478, 684, 3997, 5885, 470, 473, 22, 30, 21, 13, 289, 1642, 281, 478, 49988, 3035, 355, 470, 473, 24, 30, 21, 814, 2046, 5284, 2158, 329, 7367, 32471, 3326, 1907, 478, 1140, 1428, 33644, 470, 473, 21, 30, 23, 814, 1397, 575, 5327, 478, 672, 300, 320, 1024, 910, 502, 949, 377, 11570, 873, 16, 282, 1423, 3678, 16, 23054, 2702, 22375, 315, 16, 16861, 7473, 19522, 26070, 281, 8685, 758, 18, 2046, 3938, 615, 17, 1477, 448, 11654, 9656, 6795, 35412, 309, 1756, 282, 2297, 1020, 643, 1165, 16, 581, 289, 519, 11202, 2223, 11181, 651, 5270, 12994, 18, 34165, 12543, 749, 15168, 18, 5890, 282, 20330, 464, 37358, 8462, 451, 2083, 541, 733, 3831, 7889, 21755, 33806, 4809, 2499, 272, 30, 25236, 2119, 9132, 477, 1728, 28065, 16208, 486, 282, 5482, 16, 37103, 282, 32386, 6421, 16, 515, 16, 294, 6095, 541, 15116, 28654, 478, 7671, 280, 28529, 312, 910, 34962, 282, 11084, 309, 478, 23739, 17, 14237, 331, 910, 282, 24221, 322, 7757, 18, 459, 1588, 1373, 17, 299, 289, 27935, 576, 37573, 3723, 32285, 5429, 478, 3096, 22803, 12131, 694, 651, 22803, 1867, 1490, 861, 365, 1078, 416, 31277, 1011, 396, 881, 332, 403, 3904, 307, 29081, 312, 25761, 13640, 49582, 30574, 1412, 2022, 11216, 2820, 424, 34874, 888, 18, 2112, 40259, 2198, 32657, 949, 377, 11570, 873, 9462, 9528, 309, 2490, 761, 9547, 282, 13441, 18, 478, 9284, 910, 282, 1423, 3678, 16, 10911, 11216, 282, 8151, 4629, 16, 20935, 12298, 8754, 525, 24557, 21755, 16, 289, 282, 5329, 575, 24935, 3872, 9871, 24226, 18, 439, 309, 6603, 17, 295, 20537, 15014, 40211, 289, 567, 2992, 445, 30, 35198, 740, 390, 312, 315, 282, 36725, 17701, 4629, 50253, 309, 24932, 263, 4809, 10352, 289, 396, 6305, 2345, 11216, 2654, 1251, 4091, 329, 1258, 7999, 262, 2777, 431, 287, 18, 28066, 16, 478, 9284, 272, 470, 639, 1139, 2003, 12631, 5199, 16, 289, 282, 34979, 546, 40150, 3404, 1833, 1871, 26403, 16, 4226, 17720, 293, 1035, 2839, 48744, 1068, 262, 289, 40072, 6258, 5097, 2671, 10551, 309, 4577, 41914, 1467, 395, 513, 1412, 3551, 321, 377, 307, 289, 608, 4032, 324, 8474, 46761, 18, 459, 590, 991, 382, 282, 9547, 6858, 478, 7671, 280, 28529, 312, 470, 309, 4356, 30, 3551, 321, 377, 307, 8462, 536, 17192, 281, 445, 25553, 5009, 2022, 13303, 2235, 519, 37158, 18, 2046, 4226, 924, 16, 753, 941, 1954, 17443, 16, 1146, 7726, 21755, 478, 9284, 910, 6891, 16, 309, 6711, 808, 7236, 24877, 25107, 16, 289, 282, 3198, 478, 672, 300, 320, 1024, 470, 45402, 17338, 37811, 18, 403, 20164, 27142, 5222, 3938, 615, 17, 1477, 432, 768, 1083, 3076, 3551, 462, 298, 16, 515, 1258, 7999, 262, 2777, 6960, 28291, 281, 505, 17192, 16, 3235, 924, 16, 2072, 289, 13879, 13850, 15655, 2235, 18, 391, 423, 24055, 3359, 478, 672, 300, 320, 1024, 470, 37811, 16, 8084, 16, 43383, 315, 30321, 1475, 309, 681, 1822, 1275, 16, 961, 16, 12879, 4490, 20673, 3924, 1728, 774, 382, 2314, 16, 22764, 282, 17285, 18, 459, 16, 3210, 16, 13189, 329, 7889, 385, 25805, 8803, 2901, 312, 877, 4732, 21891, 1176, 349, 4310, 18, 478, 682, 665, 280, 28529, 312, 470, 24983, 30085, 414, 42080, 43900, 949, 377, 11570, 1275, 16, 961, 282, 3198, 475, 575, 7863, 1196, 262, 888, 18, 7909, 3551, 321, 377, 307, 13721, 271, 8440, 526, 16, 1904, 49302, 309, 21384, 4513, 1011, 17696, 4809, 10352, 477, 10556, 434, 18, 439, 2512, 11350, 17, 915, 12954, 478, 10269, 293, 660, 950, 470, 28474, 2287, 17, 9150 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19243, 528, 1076, 12012, 289, 505, 5794, 16, 30650, 282, 22005, 18, 365, 6031, 9344, 1139, 21396, 360, 39668, 23070, 15006, 18, 4059, 324, 38395, 9601, 1011, 924, 16, 428, 282, 2343, 3750, 22062, 14774, 1560, 28503, 918, 478, 42415, 2764, 910, 2170, 7033, 15140, 282, 1767, 22005, 16, 49101, 8915, 290, 10343, 296, 1191, 432, 11213, 1165, 1300, 42638, 541, 23740, 432, 8743, 2665, 18, 33671, 5761, 29838, 16, 374, 3888, 19516, 4101, 1272, 17, 1198, 779, 47416, 23740, 536, 5754, 277, 10621, 541, 8312, 6657, 281, 309, 2099, 761, 519, 7593, 5999, 6373, 2301, 1967, 1300, 42638, 349, 1386, 2829, 477, 45781, 12201, 45172, 10247, 16, 15833, 6347, 10292, 16, 1655, 428, 8148, 510, 281, 2923, 1175, 18, 824, 697, 3352, 16, 11617, 26821, 282, 6031, 14231, 13332, 3763, 25556, 473, 293, 31146, 4843, 29, 16, 23, 3763, 814, 33825, 1262, 34856, 282, 36849, 294, 2184, 45432, 7715, 13813, 294, 21935, 2665, 28485, 1562, 16, 282, 970, 2875, 19243, 528, 1076, 12012, 16, 697, 4211, 17, 3533, 266, 7671, 46850, 38574, 401, 289, 33213, 12097, 21629, 45850, 18, 38207, 2284, 40632, 22300, 18749, 3455, 282, 1967, 28164, 1717, 528, 1076, 12012, 16, 1029, 3255, 16439, 20799, 27359, 10474, 15512, 18, 24195, 11400, 13731, 14033, 45748, 294, 8217, 18, 967, 803, 583, 8099, 9246, 1552, 2665, 29487, 697, 282, 4698, 3678, 5370, 290, 4008, 16, 367, 322, 478, 287, 328, 344, 9654, 25587, 526, 19376, 289, 41742, 910, 1586, 4451, 3519, 13012, 322, 3440, 16, 828, 11340, 783, 16, 281, 1754, 745, 45376, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3405, 17, 277, 28220, 7561, 9893, 478, 9284, 470, 1642, 50253, 478, 672, 300, 320, 1024, 910, 334, 8954, 7977, 18042, 1063, 477, 12932, 2239, 30, 22, 18, 4922, 16410, 2756, 35962, 541, 478, 7671, 280, 28529, 312, 470, 424, 9444, 40150, 282, 44275, 46881, 18, 608, 42792, 364, 1617, 6688, 282, 25941, 22366, 16329, 582, 478, 2176, 22160, 910, 309, 3177, 4577, 16536, 8694, 478, 10269, 293, 660, 5167, 861, 439, 478, 48334, 21186, 470, 282, 20971, 14520, 25469, 478, 1140, 1428, 33644, 861, 31224, 30, 471, 9284, 470, 30682, 1252, 27953, 8955, 1195, 478, 672, 300, 320, 1024, 470, 309, 26225, 478, 23739, 17, 14237, 331, 861, 9051, 2856, 42213, 681, 1822, 778, 3216, 6448, 9132, 309, 21578, 7529, 39061, 282, 44200, 26083, 18, 1681, 9444, 4090, 8300, 17799, 27273, 613, 40150, 16, 1029, 282, 6104, 11258, 26471, 22232, 35103, 3494, 12009, 478, 7671, 280, 28529, 312, 470, 478, 780, 1154, 324, 910, 478, 9284, 470, 281, 8954, 17060, 282, 12013, 1421, 4466, 9410, 18, 1787, 2742, 8160, 315, 17, 440, 564, 282, 20971, 14520, 9537, 4605, 1195, 478, 2176, 22160, 470, 473, 23, 30, 21, 934, 2512, 309, 36934, 7000, 751, 281, 478, 684, 3997, 5885, 470, 473, 22, 30, 21, 13, 289, 1642, 281, 478, 49988, 3035, 355, 470, 473, 24, 30, 21, 814, 2046, 5284, 2158, 329, 7367, 32471, 3326, 1907, 478, 1140, 1428, 33644, 470, 473, 21, 30, 23, 814, 1397, 575, 5327, 478, 672, 300, 320, 1024, 910, 502, 949, 377, 11570, 873, 16, 282, 1423, 3678, 16, 23054, 2702, 22375, 315, 16, 16861, 7473, 19522, 26070, 281, 8685, 758, 18, 2046, 3938, 615, 17, 1477, 448, 11654, 9656, 6795, 35412, 309, 1756, 282, 2297, 1020, 643, 1165, 16, 581, 289, 519, 11202, 2223, 11181, 651, 5270, 12994, 18, 34165, 12543, 749, 15168, 18, 5890, 282, 20330, 464, 37358, 8462, 451, 2083, 541, 733, 3831, 7889, 21755, 33806, 4809, 2499, 272, 30, 25236, 2119, 9132, 477, 1728, 28065, 16208, 486, 282, 5482, 16, 37103, 282, 32386, 6421, 16, 515, 16, 294, 6095, 541, 15116, 28654, 478, 7671, 280, 28529, 312, 910, 34962, 282, 11084, 309, 478, 23739, 17, 14237, 331, 910, 282, 24221, 322, 7757, 18, 459, 1588, 1373, 17, 299, 289, 27935, 576, 37573, 3723, 32285, 5429, 478, 3096, 22803, 12131, 694, 651, 22803, 1867, 1490, 861, 365, 1078, 416, 31277, 1011, 396, 881, 332, 403, 3904, 307, 29081, 312, 25761, 13640, 49582, 30574, 1412, 2022, 11216, 2820, 424, 34874, 888, 18, 2112, 40259, 2198, 32657, 949, 377, 11570, 873, 9462, 9528, 309, 2490, 761, 9547, 282, 13441, 18, 478, 9284, 910, 282, 1423, 3678, 16, 10911, 11216, 282, 8151, 4629, 16, 20935, 12298, 8754, 525, 24557, 21755, 16, 289, 282, 5329, 575, 24935, 3872, 9871, 24226, 18, 439, 309, 6603, 17, 295, 20537, 15014, 40211, 289, 567, 2992, 445, 30, 35198, 740, 390, 312, 315, 282, 36725, 17701, 4629, 50253, 309, 24932, 263, 4809, 10352, 289, 396, 6305, 2345, 11216, 2654, 1251, 4091, 329, 1258, 7999, 262, 2777, 431, 287, 18, 28066, 16, 478, 9284, 272, 470, 639, 1139, 2003, 12631, 5199, 16, 289, 282, 34979, 546, 40150, 3404, 1833, 1871, 26403, 16, 4226, 17720, 293, 1035, 2839, 48744, 1068, 262, 289, 40072, 6258, 5097, 2671, 10551, 309, 4577, 41914, 1467, 395, 513, 1412, 3551, 321, 377, 307, 289, 608, 4032, 324, 8474, 46761, 18, 459, 590, 991, 382, 282, 9547, 6858, 478, 7671, 280, 28529, 312, 470, 309, 4356, 30, 3551, 321, 377, 307, 8462, 536, 17192, 281, 445, 25553, 5009, 2022, 13303, 2235, 519, 37158, 18, 2046, 4226, 924, 16, 753, 941, 1954, 17443, 16, 1146, 7726, 21755, 478, 9284, 910, 6891, 16, 309, 6711, 808, 7236, 24877, 25107, 16, 289, 282, 3198, 478, 672, 300, 320, 1024, 470, 45402, 17338, 37811, 18, 403, 20164, 27142, 5222, 3938, 615, 17, 1477, 432, 768, 1083, 3076, 3551, 462, 298, 16, 515, 1258, 7999, 262, 2777, 6960, 28291, 281, 505, 17192, 16, 3235, 924, 16, 2072, 289, 13879, 13850, 15655, 2235, 18, 391, 423, 24055, 3359, 478, 672, 300, 320, 1024, 470, 37811, 16, 8084, 16, 43383, 315, 30321, 1475, 309, 681, 1822, 1275, 16, 961, 16, 12879, 4490, 20673, 3924, 1728, 774, 382, 2314, 16, 22764, 282, 17285, 18, 459, 16, 3210, 16, 13189, 329, 7889, 385, 25805, 8803, 2901, 312, 877, 4732, 21891, 1176, 349, 4310, 18, 478, 682, 665, 280, 28529, 312, 470, 24983, 30085, 414, 42080, 43900, 949, 377, 11570, 1275, 16, 961, 282, 3198, 475, 575, 7863, 1196, 262, 888, 18, 7909, 3551, 321, 377, 307, 13721, 271, 8440, 526, 16, 1904, 49302, 309, 21384, 4513, 1011, 17696, 4809, 10352, 477, 10556, 434, 18, 439, 2512, 11350, 17, 915, 12954, 478, 10269, 293, 660, 950, 470, 28474, 2287, 17, 9150 ]
[ 879, 16, 1029, 11623, 36656, 2263, 306, 5888, 889, 11, 630, 16, 371, 32886, 1360, 10434, 8955, 18, 19065, 16, 374, 541, 3551, 321, 377, 307, 16, 594, 2822, 28002, 28383, 5790, 16, 10133, 1279, 478, 672, 300, 320, 1024, 470, 1559, 28910, 536, 282, 5344, 5271, 478, 4580, 3850, 861, 439, 1215, 6661, 411, 10235, 24411, 478, 7671, 280, 28529, 312, 470, 282, 8384, 349, 1756, 282, 38396, 17793, 9190, 8900, 16, 478, 32572, 263, 910, 282, 11084, 25818, 1595, 10133, 1279, 478, 49988, 3035, 265, 470, 639, 322, 25093, 18, 7743, 282, 970, 16, 374, 282, 9176, 356, 1919, 16, 988, 14366, 30639, 16, 12543, 1678, 14456, 8889, 19775, 16, 411, 17, 431, 1660, 4765, 906, 2396, 2773, 726, 309, 1281, 17, 295, 20537, 371, 20545, 2239, 30, 20, 18, 41651, 16, 374, 309, 445, 3841, 582, 1188, 22232, 411, 17, 431, 8755, 2035, 20447, 3619, 34840, 32124, 42754, 38162, 9689, 1666, 310, 435, 18, 33768, 16, 374, 10133, 840, 590, 2711, 616, 3703, 3750, 18, 5890, 282, 6566, 21273, 322, 18042, 1211, 478, 2176, 22160, 910, 16536, 416, 25771, 1195, 478, 10269, 293, 660, 17003, 470, 473, 24, 30, 20, 13, 3083, 21610, 1779, 1617, 6688, 282, 4056, 16329, 582, 18, 43929, 451, 10133, 7609, 39914, 26625, 35812, 34041, 48366, 2612, 1241, 19849, 16, 13721, 1779, 442, 305, 17, 1198, 273, 18, 18154, 5222, 4966, 16, 282, 1754, 1617, 10544, 3142, 7609, 17659, 451, 45829, 29111, 13843, 1624, 1280, 333, 1789, 1866, 19447, 48881, 17363, 282, 8999, 6700, 13922, 288, 1275, 7504, 11216, 18, 32575, 549, 4765, 12935, 282, 5649, 33386, 16, 988, 478, 48334, 21186, 470, 13694, 478, 1140, 1428, 33644, 861, 7200, 44368, 37358, 20975, 3872, 26925, 536, 309, 31371, 13189, 18, 13191, 4966, 14725, 7026, 289, 10790, 8625, 274, 2398, 282, 17285, 2697, 322, 15607, 18, 12092, 282, 2343, 7640, 17, 25822, 382, 327, 925, 295, 778, 39207, 478, 21039, 896, 1275, 470, 1789, 20788, 46023, 459, 3497, 411, 40293, 36725, 309, 14920, 3521, 14456, 5335, 282, 32386, 6421, 16, 515, 11216, 48659, 282, 31897, 2244, 360, 33973, 607, 18, 439, 1215, 10546, 13004, 5790, 7801, 282, 18464, 9525, 18, 13350, 700, 35435, 326, 282, 20690, 16, 20168, 12544, 16, 289, 16, 428, 13391, 16, 289, 329, 1110, 289, 329, 1888, 7889, 25508, 4096, 37081, 445, 349, 14176, 16, 6177, 4446, 898, 16, 4213, 16, 935, 1033, 2695, 318, 18, 2046, 15265, 45468, 475, 575, 15014, 16, 581, 289, 428, 45468, 30, 442, 1083, 10810, 478, 419, 932, 37123, 4607, 470, 10082, 4708, 262, 38122, 848, 262, 14070, 11216, 282, 42808, 7889, 17878, 287, 15690, 37021, 4254, 26761, 17192, 1248, 965, 281, 5625, 36725, 18, 740, 322, 2693, 17078, 887, 1613, 2440, 873, 30, 6396, 7109, 1879, 1011, 17696, 281, 37073, 346, 3818, 28361, 412, 536, 4167, 1128, 748, 16103, 778, 25236, 31275, 2725, 513, 354, 1624, 1029, 289, 3221, 4165, 2948, 18, 2046, 1011, 924, 16, 428, 2948, 309, 47366, 1559, 430, 30, 21, 16, 30503, 4466, 13285, 16, 5736, 19490, 16, 374, 4966, 4521, 322, 1279, 4745, 531, 5466, 11216, 282, 8151, 4629, 519, 2887, 2595, 11287, 381, 17147, 7977, 289, 17338, 334, 290, 2606, 16, 515, 322, 1373, 17, 299, 639, 18, 365, 2343, 7977, 459, 3497, 1904, 396, 881, 9572, 281, 28065, 16208, 486, 16, 289, 505, 19753, 27869, 5527, 12258, 6258, 17823, 4652, 281, 1533, 4995, 282, 8111, 478, 2423, 881, 5077, 470, 30256, 1528, 578, 675, 6606, 1832, 853, 18, 6319, 400, 282, 9547, 4618, 43451, 751, 16, 374, 309, 9268, 20537, 18112, 1612, 42215, 11152, 18101, 1272, 27580, 30, 4686, 17771, 269, 349, 13344, 879, 47953, 11215, 11103, 364, 35969, 29720, 2985, 3033, 478, 48334, 45054, 470, 40150, 18947, 610, 447, 1624, 367, 2512, 4577, 349, 2992, 478, 1615, 447, 6265, 470, 14084, 289, 5184, 37253, 5527, 12258, 6258, 17823, 18, 740, 10398, 5280, 891, 1033, 1329, 22640, 5434, 282, 8267, 453, 289, 322, 4243, 16, 289, 282, 6031, 478, 1140, 1428, 33644, 470, 43412, 411, 5649, 3854, 1421, 26654, 16, 2566, 743, 12932, 491, 30, 21, 18, 4925, 921, 406, 16, 374, 11350, 17, 911, 272, 49812, 14118, 35798, 301, 22637, 283, 7609, 309, 4577, 475, 6374, 1879, 16, 2686, 9972, 1462, 3250, 322, 9271, 8382, 18, 365, 1888, 21273, 2299, 478, 12145, 283, 390, 470, 309, 3177, 4577, 322, 2564, 1684, 18070, 478, 1659, 501, 15194, 470, 473, 21, 30, 21, 934, 5505, 10551, 47149, 774, 309, 14515, 3116, 6063, 20537, 16, 1176, 411, 25883, 11178, 19193, 7561, 478, 983, 298, 460, 264, 470, 282, 20971, 14520, 16536, 315, 46621, 478, 684, 48695, 470, 473, 20, 30, 23, 934, 478, 16846, 429, 470, 309, 36934, 49266, 478, 10594, 1569, 264, 470, 473, 21, 30, 23, 934, 367, 478, 684, 38304, 312, 470, 1642, 19121, 310, 478, 983, 1394, 470, 473, 22, 30, 21, 814, 11333, 7036, 942, 5298, 309, 7759, 7561, 9893, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5781, 5792, 6605, 5825, 290, 6342, 6036, 20701, 47545, 11350, 17, 33179, 10143, 3806, 48181, 2976, 1161, 15284, 289, 1511, 1347, 1234, 37, 18040, 28893, 4280, 928, 3340, 18, 824, 32477, 9541, 17, 40000, 7179, 15099, 22026, 7920, 6198, 835, 1631, 6816, 459, 22686, 16, 4280, 928, 3340, 24214, 4110, 411, 505, 7428, 282, 30967, 18, 31224, 30, 6014, 1246, 451, 9805, 6663, 273, 17, 25293, 30506, 16, 8851, 5037, 10143, 3806, 48181, 2976, 1161, 15284, 18223, 4280, 928, 523, 8641, 6274, 30409, 1805, 14837, 1518, 282, 1360, 8303, 282, 30967, 16, 2588, 541, 1047, 17123, 305, 24731, 18, 385, 8590, 10996, 8348, 9541, 17, 40000, 7179, 15099, 22026, 7920, 6198, 835, 1631, 6816, 459, 22686, 7332, 40568, 282, 3177, 22325, 17, 1310, 962, 18, 16273, 1623, 14123, 416, 289, 1341, 798, 478, 370, 12360, 411, 2145, 334, 5625, 7920, 910, 5130, 282, 9907, 18, 459, 1970, 5692, 16, 374, 478, 14210, 1133, 36667, 2262, 7444, 9868, 322, 15893, 8776, 2606, 17737, 282, 5792, 861, 6592, 459, 1970, 272, 1624, 26058, 281, 4280, 928, 12248, 11540, 764, 667, 4209, 18, 2112, 29028, 14682, 2349, 5740, 282, 2835, 356, 512, 269, 38191, 13941, 2825, 18, 365, 31647, 5458, 2198, 20477, 33686, 8641, 5668, 751, 24362, 19273, 411, 17, 1567, 17982, 18, 478, 1358, 3684, 16, 374, 4280, 928, 523, 1314, 23140, 17821, 26893, 15896, 289, 3781, 2976, 16, 1029, 309, 1047, 17625, 2689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16, 1029, 11623, 36656, 2263, 306, 5888, 889, 11, 630, 16, 371, 32886, 1360, 10434, 8955, 18, 19065, 16, 374, 541, 3551, 321, 377, 307, 16, 594, 2822, 28002, 28383, 5790, 16, 10133, 1279, 478, 672, 300, 320, 1024, 470, 1559, 28910, 536, 282, 5344, 5271, 478, 4580, 3850, 861, 439, 1215, 6661, 411, 10235, 24411, 478, 7671, 280, 28529, 312, 470, 282, 8384, 349, 1756, 282, 38396, 17793, 9190, 8900, 16, 478, 32572, 263, 910, 282, 11084, 25818, 1595, 10133, 1279, 478, 49988, 3035, 265, 470, 639, 322, 25093, 18, 7743, 282, 970, 16, 374, 282, 9176, 356, 1919, 16, 988, 14366, 30639, 16, 12543, 1678, 14456, 8889, 19775, 16, 411, 17, 431, 1660, 4765, 906, 2396, 2773, 726, 309, 1281, 17, 295, 20537, 371, 20545, 2239, 30, 20, 18, 41651, 16, 374, 309, 445, 3841, 582, 1188, 22232, 411, 17, 431, 8755, 2035, 20447, 3619, 34840, 32124, 42754, 38162, 9689, 1666, 310, 435, 18, 33768, 16, 374, 10133, 840, 590, 2711, 616, 3703, 3750, 18, 5890, 282, 6566, 21273, 322, 18042, 1211, 478, 2176, 22160, 910, 16536, 416, 25771, 1195, 478, 10269, 293, 660, 17003, 470, 473, 24, 30, 20, 13, 3083, 21610, 1779, 1617, 6688, 282, 4056, 16329, 582, 18, 43929, 451, 10133, 7609, 39914, 26625, 35812, 34041, 48366, 2612, 1241, 19849, 16, 13721, 1779, 442, 305, 17, 1198, 273, 18, 18154, 5222, 4966, 16, 282, 1754, 1617, 10544, 3142, 7609, 17659, 451, 45829, 29111, 13843, 1624, 1280, 333, 1789, 1866, 19447, 48881, 17363, 282, 8999, 6700, 13922, 288, 1275, 7504, 11216, 18, 32575, 549, 4765, 12935, 282, 5649, 33386, 16, 988, 478, 48334, 21186, 470, 13694, 478, 1140, 1428, 33644, 861, 7200, 44368, 37358, 20975, 3872, 26925, 536, 309, 31371, 13189, 18, 13191, 4966, 14725, 7026, 289, 10790, 8625, 274, 2398, 282, 17285, 2697, 322, 15607, 18, 12092, 282, 2343, 7640, 17, 25822, 382, 327, 925, 295, 778, 39207, 478, 21039, 896, 1275, 470, 1789, 20788, 46023, 459, 3497, 411, 40293, 36725, 309, 14920, 3521, 14456, 5335, 282, 32386, 6421, 16, 515, 11216, 48659, 282, 31897, 2244, 360, 33973, 607, 18, 439, 1215, 10546, 13004, 5790, 7801, 282, 18464, 9525, 18, 13350, 700, 35435, 326, 282, 20690, 16, 20168, 12544, 16, 289, 16, 428, 13391, 16, 289, 329, 1110, 289, 329, 1888, 7889, 25508, 4096, 37081, 445, 349, 14176, 16, 6177, 4446, 898, 16, 4213, 16, 935, 1033, 2695, 318, 18, 2046, 15265, 45468, 475, 575, 15014, 16, 581, 289, 428, 45468, 30, 442, 1083, 10810, 478, 419, 932, 37123, 4607, 470, 10082, 4708, 262, 38122, 848, 262, 14070, 11216, 282, 42808, 7889, 17878, 287, 15690, 37021, 4254, 26761, 17192, 1248, 965, 281, 5625, 36725, 18, 740, 322, 2693, 17078, 887, 1613, 2440, 873, 30, 6396, 7109, 1879, 1011, 17696, 281, 37073, 346, 3818, 28361, 412, 536, 4167, 1128, 748, 16103, 778, 25236, 31275, 2725, 513, 354, 1624, 1029, 289, 3221, 4165, 2948, 18, 2046, 1011, 924, 16, 428, 2948, 309, 47366, 1559, 430, 30, 21, 16, 30503, 4466, 13285, 16, 5736, 19490, 16, 374, 4966, 4521, 322, 1279, 4745, 531, 5466, 11216, 282, 8151, 4629, 519, 2887, 2595, 11287, 381, 17147, 7977, 289, 17338, 334, 290, 2606, 16, 515, 322, 1373, 17, 299, 639, 18, 365, 2343, 7977, 459, 3497, 1904, 396, 881, 9572, 281, 28065, 16208, 486, 16, 289, 505, 19753, 27869, 5527, 12258, 6258, 17823, 4652, 281, 1533, 4995, 282, 8111, 478, 2423, 881, 5077, 470, 30256, 1528, 578, 675, 6606, 1832, 853, 18, 6319, 400, 282, 9547, 4618, 43451, 751, 16, 374, 309, 9268, 20537, 18112, 1612, 42215, 11152, 18101, 1272, 27580, 30, 4686, 17771, 269, 349, 13344, 879, 47953, 11215, 11103, 364, 35969, 29720, 2985, 3033, 478, 48334, 45054, 470, 40150, 18947, 610, 447, 1624, 367, 2512, 4577, 349, 2992, 478, 1615, 447, 6265, 470, 14084, 289, 5184, 37253, 5527, 12258, 6258, 17823, 18, 740, 10398, 5280, 891, 1033, 1329, 22640, 5434, 282, 8267, 453, 289, 322, 4243, 16, 289, 282, 6031, 478, 1140, 1428, 33644, 470, 43412, 411, 5649, 3854, 1421, 26654, 16, 2566, 743, 12932, 491, 30, 21, 18, 4925, 921, 406, 16, 374, 11350, 17, 911, 272, 49812, 14118, 35798, 301, 22637, 283, 7609, 309, 4577, 475, 6374, 1879, 16, 2686, 9972, 1462, 3250, 322, 9271, 8382, 18, 365, 1888, 21273, 2299, 478, 12145, 283, 390, 470, 309, 3177, 4577, 322, 2564, 1684, 18070, 478, 1659, 501, 15194, 470, 473, 21, 30, 21, 934, 5505, 10551, 47149, 774, 309, 14515, 3116, 6063, 20537, 16, 1176, 411, 25883, 11178, 19193, 7561, 478, 983, 298, 460, 264, 470, 282, 20971, 14520, 16536, 315, 46621, 478, 684, 48695, 470, 473, 20, 30, 23, 934, 478, 16846, 429, 470, 309, 36934, 49266, 478, 10594, 1569, 264, 470, 473, 21, 30, 23, 934, 367, 478, 684, 38304, 312, 470, 1642, 19121, 310, 478, 983, 1394, 470, 473, 22, 30, 21, 814, 11333, 7036, 942, 5298, 309, 7759, 7561, 9893, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5781, 5792, 6605, 5825, 290, 6342, 6036, 20701, 47545, 11350, 17, 33179, 10143, 3806, 48181, 2976, 1161, 15284, 289, 1511, 1347, 1234, 37, 18040, 28893, 4280, 928, 3340, 18, 824, 32477, 9541, 17, 40000, 7179, 15099, 22026, 7920, 6198, 835, 1631, 6816, 459, 22686, 16, 4280, 928, 3340, 24214, 4110, 411, 505, 7428, 282, 30967, 18, 31224, 30, 6014, 1246, 451, 9805, 6663, 273, 17, 25293, 30506, 16, 8851, 5037, 10143, 3806, 48181, 2976, 1161, 15284, 18223, 4280, 928, 523, 8641, 6274, 30409, 1805, 14837, 1518, 282, 1360, 8303, 282, 30967, 16, 2588, 541, 1047, 17123, 305, 24731, 18, 385, 8590, 10996, 8348, 9541, 17, 40000, 7179, 15099, 22026, 7920, 6198, 835, 1631, 6816, 459, 22686, 7332, 40568, 282, 3177, 22325, 17, 1310, 962, 18, 16273, 1623, 14123, 416, 289, 1341, 798, 478, 370, 12360, 411, 2145, 334, 5625, 7920, 910, 5130, 282, 9907, 18, 459, 1970, 5692, 16, 374, 478, 14210, 1133, 36667, 2262, 7444, 9868, 322, 15893, 8776, 2606, 17737, 282, 5792, 861, 6592, 459, 1970, 272, 1624, 26058, 281, 4280, 928, 12248, 11540, 764, 667, 4209, 18, 2112, 29028, 14682, 2349, 5740, 282, 2835, 356, 512, 269, 38191, 13941, 2825, 18, 365, 31647, 5458, 2198, 20477, 33686, 8641, 5668, 751, 24362, 19273, 411, 17, 1567, 17982, 18, 478, 1358, 3684, 16, 374, 4280, 928, 523, 1314, 23140, 17821, 26893, 15896, 289, 3781, 2976, 16, 1029, 309, 1047, 17625, 2689 ]
[ 1880, 26751, 485, 289, 16775, 36667, 16, 510, 9299, 459, 1970, 18, 510, 1606, 32546, 505, 22854, 4849, 3194, 1279, 1175, 18, 11966, 16, 329, 1047, 48745, 19663, 1011, 2567, 19872, 37976, 289, 1223, 924, 19220, 16, 1029, 685, 2113, 266, 2917, 505, 35193, 2899, 861, 45598, 16, 374, 18290, 40568, 282, 3177, 43423, 11906, 1293, 15965, 411, 10116, 21251, 5761, 39603, 509, 434, 4600, 478, 12775, 14878, 429, 910, 10348, 22292, 330, 309, 39286, 28293, 22968, 7492, 13267, 18, 365, 4810, 16, 478, 12775, 14878, 429, 470, 19539, 290, 8303, 282, 30967, 473, 10548, 1687, 1756, 13811, 4280, 928, 3340, 10480, 13, 289, 505, 10072, 10414, 282, 4179, 269, 38191, 40618, 18, 22877, 6342, 6036, 478, 293, 4799, 382, 44379, 43729, 470, 329, 459, 22686, 289, 478, 12775, 14878, 918, 470, 1320, 32151, 651, 667, 4209, 18, 3791, 2955, 322, 8097, 3400, 43142, 282, 3322, 23924, 30542, 16, 961, 9225, 7897, 10015, 16, 424, 538, 5229, 478, 22333, 2206, 26205, 861, 459, 1970, 309, 3177, 17292, 3614, 17029, 965, 11947, 5781, 289, 10830, 39204, 289, 477, 25560, 16, 2567, 16, 428, 478, 43072, 451, 5508, 20921, 1356, 910, 47490, 2684, 5772, 7920, 334, 7546, 8274, 3623, 282, 6491, 44694, 3416, 478, 43072, 434, 44922, 4792, 1051, 289, 20171, 910, 11947, 11758, 7067, 371, 608, 5246, 1312, 5607, 336, 18, 4534, 16, 9541, 17, 27394, 5349, 7179, 10872, 22348, 334, 13441, 835, 1631, 371, 9085, 1624, 23267, 8840, 17461, 1791, 3623, 289, 9382, 27074, 3281, 334, 7546, 12672, 11993, 289, 11947, 587, 22696, 14425, 630, 478, 630, 11013, 1952, 1175, 861, 3557, 322, 2619, 290, 25784, 4280, 928, 3340, 281, 2835, 36034, 4424, 2438, 3665, 764, 282, 11023, 6705, 779, 18, 365, 20690, 3772, 906, 3049, 1004, 10680, 7756, 21409, 6663, 343, 281, 41426, 5948, 13048, 2100, 304, 1792, 12776, 16767, 18, 365, 4542, 31858, 4280, 928, 523, 322, 687, 5564, 811, 13015, 16586, 778, 6085, 1175, 16, 515, 289, 2202, 2195, 282, 46875, 30409, 281, 1807, 16, 367, 1038, 34066, 16, 374, 14366, 10640, 282, 17839, 22661, 29614, 18, 478, 36170, 17059, 16, 785, 417, 9066, 282, 2835, 10862, 16, 510, 24885, 16, 7089, 16, 1756, 541, 7203, 3281, 510, 24752, 2513, 3645, 282, 5270, 3139, 18, 15517, 16, 282, 10384, 8600, 16, 1248, 1421, 4177, 16, 475, 12534, 6696, 49945, 16, 367, 519, 360, 39657, 764, 7893, 1808, 18, 459, 1215, 475, 9707, 30800, 2253, 289, 2164, 874, 411, 10773, 1122, 708, 620, 291, 17, 2167, 303, 523, 478, 660, 460, 947, 910, 510, 10799, 492, 7725, 3033, 18, 3739, 282, 4018, 1045, 33529, 2615, 334, 17, 11863, 33637, 541, 18380, 15585, 510, 505, 9502, 12510, 906, 10901, 798, 349, 17322, 266, 17987, 16, 961, 11292, 282, 3106, 2797, 11365, 18, 25344, 7742, 2116, 536, 36587, 322, 3225, 12369, 46510, 3280, 2203, 18, 20405, 16, 374, 309, 8011, 6059, 1573, 3729, 305, 845, 28017, 10044, 320, 6274, 30409, 281, 1807, 18, 365, 3734, 1045, 4630, 1162, 33254, 32852, 44262, 16, 374, 32809, 32518, 23120, 2797, 2976, 4697, 32494, 3248, 5613, 18, 3529, 28508, 1247, 381, 15369, 7025, 4280, 928, 3340, 18, 478, 5798, 1176, 11850, 310, 1109, 16, 374, 3984, 12631, 8840, 15284, 16, 492, 703, 16773, 322, 757, 910, 510, 5698, 937, 14326, 978, 10485, 1360, 31094, 6663, 273, 18, 2046, 505, 11453, 4030, 2702, 23377, 3361, 281, 1655, 31408, 25189, 7928, 44771, 339, 40973, 1624, 12698, 583, 4280, 928, 523, 18, 21513, 492, 475, 17, 2767, 9724, 1423, 8892, 18, 967, 803, 31851, 6877, 5768, 16, 374, 757, 3604, 1143, 4135, 1011, 14631, 411, 3569, 15744, 18, 478, 563, 40973, 656, 39235, 27581, 315, 18, 5257, 374, 16, 827, 373, 40973, 16, 349, 38760, 3433, 16, 703, 373, 15492, 364, 16, 492, 685, 373, 4816, 334, 8722, 47218, 36089, 784, 2846, 5240, 19304, 18, 439, 453, 428, 282, 3569, 10323, 464, 329, 703, 906, 6917, 14113, 29418, 16, 502, 417, 309, 803, 9724, 491, 16, 25, 9433, 2791, 18, 608, 703, 45603, 906, 29418, 13671, 4500, 18, 282, 5004, 910, 510, 31482, 4280, 928, 523, 18, 365, 4675, 808, 12987, 27589, 282, 2145, 334, 9212, 6198, 22162, 289, 9280, 10919, 17187, 1234, 37, 18040, 18, 2949, 924, 16, 4280, 928, 523, 11179, 15980, 281, 42176, 16, 282, 2875, 1639, 651, 2107, 10579, 451, 22832, 31396, 2797, 11365, 282, 1175, 14397, 262, 632, 1994, 41959, 266, 18, 22987, 12483, 322, 26136, 15582, 29471, 8424, 4048, 332, 10616, 290, 478, 22648, 2209, 12278, 2797, 2976, 17, 42965, 470, 289, 5273, 16, 374, 329, 10830, 7257, 1003, 10361, 432, 20481, 18051, 11854, 18, 365, 39837, 445, 3499, 4280, 928, 3340, 30519, 18964, 282, 5792, 282, 8151, 4209, 16, 785, 492, 47277, 24877, 11673, 4958, 2294, 15333, 5034, 668, 8341, 349, 2797, 2976, 18, 8859, 19048, 639, 19056, 7818, 282, 6292, 2236, 411, 3322, 10762, 5534, 6367, 8165, 334, 5083, 30265, 1437, 281, 4092, 33138, 47564, 282, 19862, 48421, 651, 502, 912, 16, 282, 6292, 1047, 2887, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 21917, 1157, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 3693, 15566, 303, 3162, 2703, 285, 7152, 891, 18747, 2954, 322, 1747, 2161, 1676, 309, 1760, 9909, 18, 9098, 26119, 282, 19048, 16, 14225, 1815, 22141, 36667, 16, 2828, 530, 437, 29777, 8007, 954, 26280, 648, 1013, 18, 4707, 4031, 3056, 28349, 16144, 16, 374, 2059, 48822, 11771, 16, 1548, 374, 329, 18747, 3085, 21554, 2393, 15031, 11967, 309, 2954, 18, 31224, 30, 6014, 2713, 2585, 35216, 478, 630, 29116, 9713, 282, 1568, 478, 630, 20286, 12895, 3623, 470, 289, 282, 15264, 21181, 4433, 4551, 381, 26235, 35044, 292, 470, 35816, 8031, 343, 381, 34461, 8217, 349, 35550, 3162, 19683, 22377, 2973, 11413, 18, 1367, 803, 4848, 478, 46088, 18, 8381, 470, 8624, 7920, 334, 3623, 16934, 16, 3203, 478, 30635, 1175, 470, 4137, 25414, 18, 478, 3096, 2993, 953, 15857, 349, 502, 16, 374, 764, 322, 31044, 18, 8353, 9413, 349, 35550, 3162, 12289, 6507, 31192, 542, 16, 3848, 1223, 16, 322, 840, 910, 510, 4848, 11309, 18, 824, 505, 3163, 16, 360, 4111, 34461, 8217, 2574, 8140, 282, 4542, 28145, 11630, 281, 23267, 12130, 18747, 1614, 16362, 3584, 1219, 26550, 18, 5857, 489, 382, 16, 14225, 1733, 22141, 18747, 16, 898, 38908, 282, 8583 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1880, 26751, 485, 289, 16775, 36667, 16, 510, 9299, 459, 1970, 18, 510, 1606, 32546, 505, 22854, 4849, 3194, 1279, 1175, 18, 11966, 16, 329, 1047, 48745, 19663, 1011, 2567, 19872, 37976, 289, 1223, 924, 19220, 16, 1029, 685, 2113, 266, 2917, 505, 35193, 2899, 861, 45598, 16, 374, 18290, 40568, 282, 3177, 43423, 11906, 1293, 15965, 411, 10116, 21251, 5761, 39603, 509, 434, 4600, 478, 12775, 14878, 429, 910, 10348, 22292, 330, 309, 39286, 28293, 22968, 7492, 13267, 18, 365, 4810, 16, 478, 12775, 14878, 429, 470, 19539, 290, 8303, 282, 30967, 473, 10548, 1687, 1756, 13811, 4280, 928, 3340, 10480, 13, 289, 505, 10072, 10414, 282, 4179, 269, 38191, 40618, 18, 22877, 6342, 6036, 478, 293, 4799, 382, 44379, 43729, 470, 329, 459, 22686, 289, 478, 12775, 14878, 918, 470, 1320, 32151, 651, 667, 4209, 18, 3791, 2955, 322, 8097, 3400, 43142, 282, 3322, 23924, 30542, 16, 961, 9225, 7897, 10015, 16, 424, 538, 5229, 478, 22333, 2206, 26205, 861, 459, 1970, 309, 3177, 17292, 3614, 17029, 965, 11947, 5781, 289, 10830, 39204, 289, 477, 25560, 16, 2567, 16, 428, 478, 43072, 451, 5508, 20921, 1356, 910, 47490, 2684, 5772, 7920, 334, 7546, 8274, 3623, 282, 6491, 44694, 3416, 478, 43072, 434, 44922, 4792, 1051, 289, 20171, 910, 11947, 11758, 7067, 371, 608, 5246, 1312, 5607, 336, 18, 4534, 16, 9541, 17, 27394, 5349, 7179, 10872, 22348, 334, 13441, 835, 1631, 371, 9085, 1624, 23267, 8840, 17461, 1791, 3623, 289, 9382, 27074, 3281, 334, 7546, 12672, 11993, 289, 11947, 587, 22696, 14425, 630, 478, 630, 11013, 1952, 1175, 861, 3557, 322, 2619, 290, 25784, 4280, 928, 3340, 281, 2835, 36034, 4424, 2438, 3665, 764, 282, 11023, 6705, 779, 18, 365, 20690, 3772, 906, 3049, 1004, 10680, 7756, 21409, 6663, 343, 281, 41426, 5948, 13048, 2100, 304, 1792, 12776, 16767, 18, 365, 4542, 31858, 4280, 928, 523, 322, 687, 5564, 811, 13015, 16586, 778, 6085, 1175, 16, 515, 289, 2202, 2195, 282, 46875, 30409, 281, 1807, 16, 367, 1038, 34066, 16, 374, 14366, 10640, 282, 17839, 22661, 29614, 18, 478, 36170, 17059, 16, 785, 417, 9066, 282, 2835, 10862, 16, 510, 24885, 16, 7089, 16, 1756, 541, 7203, 3281, 510, 24752, 2513, 3645, 282, 5270, 3139, 18, 15517, 16, 282, 10384, 8600, 16, 1248, 1421, 4177, 16, 475, 12534, 6696, 49945, 16, 367, 519, 360, 39657, 764, 7893, 1808, 18, 459, 1215, 475, 9707, 30800, 2253, 289, 2164, 874, 411, 10773, 1122, 708, 620, 291, 17, 2167, 303, 523, 478, 660, 460, 947, 910, 510, 10799, 492, 7725, 3033, 18, 3739, 282, 4018, 1045, 33529, 2615, 334, 17, 11863, 33637, 541, 18380, 15585, 510, 505, 9502, 12510, 906, 10901, 798, 349, 17322, 266, 17987, 16, 961, 11292, 282, 3106, 2797, 11365, 18, 25344, 7742, 2116, 536, 36587, 322, 3225, 12369, 46510, 3280, 2203, 18, 20405, 16, 374, 309, 8011, 6059, 1573, 3729, 305, 845, 28017, 10044, 320, 6274, 30409, 281, 1807, 18, 365, 3734, 1045, 4630, 1162, 33254, 32852, 44262, 16, 374, 32809, 32518, 23120, 2797, 2976, 4697, 32494, 3248, 5613, 18, 3529, 28508, 1247, 381, 15369, 7025, 4280, 928, 3340, 18, 478, 5798, 1176, 11850, 310, 1109, 16, 374, 3984, 12631, 8840, 15284, 16, 492, 703, 16773, 322, 757, 910, 510, 5698, 937, 14326, 978, 10485, 1360, 31094, 6663, 273, 18, 2046, 505, 11453, 4030, 2702, 23377, 3361, 281, 1655, 31408, 25189, 7928, 44771, 339, 40973, 1624, 12698, 583, 4280, 928, 523, 18, 21513, 492, 475, 17, 2767, 9724, 1423, 8892, 18, 967, 803, 31851, 6877, 5768, 16, 374, 757, 3604, 1143, 4135, 1011, 14631, 411, 3569, 15744, 18, 478, 563, 40973, 656, 39235, 27581, 315, 18, 5257, 374, 16, 827, 373, 40973, 16, 349, 38760, 3433, 16, 703, 373, 15492, 364, 16, 492, 685, 373, 4816, 334, 8722, 47218, 36089, 784, 2846, 5240, 19304, 18, 439, 453, 428, 282, 3569, 10323, 464, 329, 703, 906, 6917, 14113, 29418, 16, 502, 417, 309, 803, 9724, 491, 16, 25, 9433, 2791, 18, 608, 703, 45603, 906, 29418, 13671, 4500, 18, 282, 5004, 910, 510, 31482, 4280, 928, 523, 18, 365, 4675, 808, 12987, 27589, 282, 2145, 334, 9212, 6198, 22162, 289, 9280, 10919, 17187, 1234, 37, 18040, 18, 2949, 924, 16, 4280, 928, 523, 11179, 15980, 281, 42176, 16, 282, 2875, 1639, 651, 2107, 10579, 451, 22832, 31396, 2797, 11365, 282, 1175, 14397, 262, 632, 1994, 41959, 266, 18, 22987, 12483, 322, 26136, 15582, 29471, 8424, 4048, 332, 10616, 290, 478, 22648, 2209, 12278, 2797, 2976, 17, 42965, 470, 289, 5273, 16, 374, 329, 10830, 7257, 1003, 10361, 432, 20481, 18051, 11854, 18, 365, 39837, 445, 3499, 4280, 928, 3340, 30519, 18964, 282, 5792, 282, 8151, 4209, 16, 785, 492, 47277, 24877, 11673, 4958, 2294, 15333, 5034, 668, 8341, 349, 2797, 2976, 18, 8859, 19048, 639, 19056, 7818, 282, 6292, 2236, 411, 3322, 10762, 5534, 6367, 8165, 334, 5083, 30265, 1437, 281, 4092, 33138, 47564, 282, 19862, 48421, 651, 502, 912, 16, 282, 6292, 1047, 2887, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 21917, 1157, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 3693, 15566, 303, 3162, 2703, 285, 7152, 891, 18747, 2954, 322, 1747, 2161, 1676, 309, 1760, 9909, 18, 9098, 26119, 282, 19048, 16, 14225, 1815, 22141, 36667, 16, 2828, 530, 437, 29777, 8007, 954, 26280, 648, 1013, 18, 4707, 4031, 3056, 28349, 16144, 16, 374, 2059, 48822, 11771, 16, 1548, 374, 329, 18747, 3085, 21554, 2393, 15031, 11967, 309, 2954, 18, 31224, 30, 6014, 2713, 2585, 35216, 478, 630, 29116, 9713, 282, 1568, 478, 630, 20286, 12895, 3623, 470, 289, 282, 15264, 21181, 4433, 4551, 381, 26235, 35044, 292, 470, 35816, 8031, 343, 381, 34461, 8217, 349, 35550, 3162, 19683, 22377, 2973, 11413, 18, 1367, 803, 4848, 478, 46088, 18, 8381, 470, 8624, 7920, 334, 3623, 16934, 16, 3203, 478, 30635, 1175, 470, 4137, 25414, 18, 478, 3096, 2993, 953, 15857, 349, 502, 16, 374, 764, 322, 31044, 18, 8353, 9413, 349, 35550, 3162, 12289, 6507, 31192, 542, 16, 3848, 1223, 16, 322, 840, 910, 510, 4848, 11309, 18, 824, 505, 3163, 16, 360, 4111, 34461, 8217, 2574, 8140, 282, 4542, 28145, 11630, 281, 23267, 12130, 18747, 1614, 16362, 3584, 1219, 26550, 18, 5857, 489, 382, 16, 14225, 1733, 22141, 18747, 16, 898, 38908, 282, 8583 ]
[ 597, 282, 2343, 4238, 289, 18474, 22933, 7050, 25044, 18, 19695, 1978, 857, 3007, 1507, 22141, 6814, 18747, 12233, 40122, 22377, 2973, 478, 262, 24829, 40032, 5348, 16, 1650, 1587, 2644, 541, 26366, 17209, 16, 302, 18158, 289, 7953, 539, 13391, 334, 3279, 14942, 1569, 17818, 1175, 294, 1121, 954, 6431, 18747, 861, 1598, 13124, 14372, 2009, 35216, 3014, 16, 374, 24727, 1698, 387, 14430, 506, 322, 687, 6508, 4118, 17540, 16, 515, 289, 19697, 22360, 16, 367, 15566, 303, 3162, 11620, 3673, 26205, 2993, 8374, 506, 3224, 12310, 44649, 309, 3017, 519, 1760, 9909, 18, 34469, 685, 18566, 282, 4884, 2100, 282, 5572, 32093, 1760, 4209, 18, 20346, 505, 20594, 6815, 6839, 15045, 309, 26119, 282, 39309, 29549, 14928, 13027, 33262, 4137, 23263, 375, 18, 478, 4441, 1176, 411, 3322, 22711, 14749, 281, 4947, 4611, 3081, 25206, 16, 3521, 25206, 14016, 289, 3960, 2553, 16, 289, 349, 722, 13952, 910, 510, 2815, 1655, 18675, 1545, 18, 2949, 924, 16, 1595, 19427, 5860, 6985, 16872, 360, 8448, 4568, 14019, 1437, 18, 824, 697, 4734, 16, 2990, 40122, 28242, 2993, 10030, 687, 329, 17981, 16, 289, 294, 2222, 575, 3023, 8630, 16, 374, 18747, 1513, 3219, 2253, 683, 10492, 319, 2388, 24727, 334, 19290, 18, 385, 1126, 761, 1479, 24225, 6325, 12679, 2172, 371, 2420, 11186, 334, 12939, 4143, 10268, 30255, 18868, 5054, 289, 22591, 1631, 18, 39442, 7067, 20353, 294, 9441, 14457, 281, 14503, 478, 1555, 5805, 11011, 470, 4126, 13595, 6325, 2450, 2540, 323, 18, 478, 5673, 346, 5064, 26286, 5247, 2903, 973, 289, 8597, 432, 37762, 49130, 434, 4000, 281, 5173, 4774, 990, 4533, 289, 44769, 282, 15206, 322, 895, 953, 4608, 465, 299, 28106, 4345, 16, 428, 1493, 341, 982, 4504, 47034, 22674, 2593, 289, 289, 30358, 46014, 274, 910, 510, 17930, 282, 17292, 23032, 18, 2861, 17745, 1157, 18310, 21935, 6508, 2403, 8825, 35216, 16, 11860, 382, 411, 2024, 5823, 282, 18923, 478, 32485, 18, 8381, 861, 996, 16, 5938, 44025, 16, 334, 4734, 25656, 1051, 16, 12233, 40122, 22377, 2973, 895, 26449, 687, 24030, 1624, 428, 30653, 451, 4831, 16, 322, 2302, 7021, 282, 6138, 27898, 2891, 18, 40144, 2959, 478, 298, 2935, 1788, 28467, 22823, 282, 6829, 281, 868, 10484, 289, 32892, 611, 291, 7340, 6507, 40010, 4000, 16, 1586, 4198, 324, 360, 5546, 1489, 25215, 6431, 27898, 2891, 910, 46251, 282, 25873, 18, 3529, 428, 24148, 19750, 18747, 9972, 322, 19058, 315, 18, 2949, 924, 16, 23716, 12137, 12851, 18749, 502, 16, 374, 22377, 3173, 4385, 29581, 1086, 282, 12564, 18, 478, 36928, 8650, 15131, 289, 12298, 42042, 22485, 4314, 4769, 3416, 16, 49632, 6503, 8674, 1145, 758, 478, 9165, 6011, 17, 2987, 10770, 758, 470, 7461, 353, 18893, 539, 14781, 4284, 289, 8468, 16, 1480, 11228, 2219, 954, 17209, 910, 510, 5130, 282, 25873, 18, 478, 11636, 1250, 473, 40242, 6087, 8012, 510, 478, 18386, 18, 8381, 9979, 29839, 4453, 6144, 1016, 2678, 334, 22061, 41471, 46012, 14471, 16, 33550, 14414, 8225, 478, 788, 16688, 26623, 910, 502, 912, 49632, 4283, 4958, 1887, 910, 510, 6498, 294, 14728, 282, 4770, 1212, 35351, 18, 39442, 7067, 13056, 802, 16, 374, 22377, 3173, 4040, 12584, 416, 478, 1477, 416, 1322, 761, 910, 453, 428, 1158, 549, 45764, 2567, 2703, 285, 7152, 891, 282, 5792, 18491, 1631, 282, 24515, 360, 3147, 7514, 416, 38360, 553, 334, 10009, 25364, 670, 1810, 18, 23569, 17461, 835, 1631, 16, 3203, 4770, 718, 7067, 25666, 6072, 399, 842, 5273, 24219, 34461, 8217, 16148, 536, 18, 478, 630, 419, 802, 6247, 3674, 11967, 309, 2954, 30, 9158, 282, 18747, 16, 13453, 282, 5792, 18, 608, 2040, 484, 687, 6917, 290, 17300, 549, 19354, 7434, 910, 510, 2815, 25656, 742, 478, 46088, 18, 8381, 861, 365, 7623, 2083, 19048, 7312, 16129, 437, 29777, 8007, 954, 18, 824, 3163, 45695, 16, 309, 13420, 11056, 11285, 895, 13079, 505, 309, 3177, 11073, 18, 9873, 14471, 381, 34461, 8217, 14909, 437, 29777, 8007, 954, 1698, 1038, 31573, 293, 1380, 9047, 290, 3043, 4840, 2703, 285, 7152, 891, 282, 5792, 289, 4666, 697, 49495, 22360, 18, 478, 4441, 840, 2988, 7153, 1357, 16, 2988, 5771, 281, 13349, 3021, 910, 510, 9848, 478, 46088, 18, 8381, 470, 25414, 18, 2, 1, 87, 1456, 81, 2448, 30, 30197, 4872, 282, 9937, 1715, 2180, 5650, 44951, 19048, 16, 581, 1815, 2990, 4407, 2675, 21030, 708, 267, 3031, 883, 9771, 11291, 16, 10432, 520, 697, 16289, 538, 13943, 1190, 13526, 14426, 670, 575, 2353, 9600, 6273, 294, 22010, 10781, 6677, 28912, 22941, 12984, 18, 37188, 1133, 3586, 48626, 3275, 2035, 5738, 26162, 3215, 6575, 2110, 4004, 16, 505, 4755, 3484, 334, 5009, 13360, 9212, 16, 515, 29724, 2856, 1715, 2504, 322, 1559, 18, 31224, 30, 17394, 3252, 548, 16934, 7650, 282, 5572, 32093, 19048, 16, 39677, 17848, 44596, 10419, 360, 26318, 10144, 7010, 2632, 289, 6273, 294, 22010, 10781, 6677, 28912, 22941, 12984, 411, 7619, 34685, 6574, 1861, 18, 1895, 2253, 1247, 290, 970, 16, 7003, 318, 520, 8044, 5791, 26318, 10144, 1728, 13526, 670, 2353, 329, 1129, 17586, 2990, 16092, 16, 1747, 16872, 21030, 708, 267, 3031, 883, 18, 365, 1750, 827, 16872, 16201, 11919, 9258, 266, 10419, 360, 26318, 10144, 16, 478, 21960, 276, 470, 1747, 25385, 13357, 2175, 30, 10711, 14019, 783, 16, 1474, 8518, 282, 708, 267, 3031, 750, 16, 2879, 840, 20561, 322, 2619, 3437, 6574, 1861, 16, 1639, 745, 7187, 373, 4641, 282, 15689, 1212, 13735, 18, 2112, 1660, 2990, 10204, 26395, 21935, 1175, 18, 365, 1423, 3678, 16, 5037, 4000, 30452, 1421, 6574, 2087, 411, 1209, 34685, 14019, 5613, 289, 47371, 697, 5187, 282, 45754, 12760, 16, 988, 289, 17700, 478, 21960, 276, 861, 50215, 778, 26280, 18573, 472, 511, 1736, 6001, 296, 4083, 1624, 2390, 1779, 19048, 282, 48619, 282, 9937, 16, 4725, 16, 374, 492, 7316, 286, 4407, 2389, 1209, 14019, 1437, 16, 294, 2222, 575, 478, 546, 357, 429, 9784, 30721, 861, 824, 505, 3163, 16, 282, 1750, 827, 5549, 475, 17, 2767, 26628, 8969, 349, 1807, 2990, 309, 26301, 15689, 1133, 11031, 16, 282, 31595, 475, 3066, 5702, 9427, 290, 3775, 45214, 9077, 334, 50177, 954, 6574, 1861, 281, 12984, 16, 2686, 16, 428, 1717, 1747, 25385, 870, 19934, 16, 8070, 11291, 2419, 28308, 18, 9668, 7920, 334, 12128, 30261, 31498, 4137, 43391, 3740, 11906, 282, 3177, 44774, 9360, 28625, 276, 35216, 16, 32949, 16, 374 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 597, 282, 2343, 4238, 289, 18474, 22933, 7050, 25044, 18, 19695, 1978, 857, 3007, 1507, 22141, 6814, 18747, 12233, 40122, 22377, 2973, 478, 262, 24829, 40032, 5348, 16, 1650, 1587, 2644, 541, 26366, 17209, 16, 302, 18158, 289, 7953, 539, 13391, 334, 3279, 14942, 1569, 17818, 1175, 294, 1121, 954, 6431, 18747, 861, 1598, 13124, 14372, 2009, 35216, 3014, 16, 374, 24727, 1698, 387, 14430, 506, 322, 687, 6508, 4118, 17540, 16, 515, 289, 19697, 22360, 16, 367, 15566, 303, 3162, 11620, 3673, 26205, 2993, 8374, 506, 3224, 12310, 44649, 309, 3017, 519, 1760, 9909, 18, 34469, 685, 18566, 282, 4884, 2100, 282, 5572, 32093, 1760, 4209, 18, 20346, 505, 20594, 6815, 6839, 15045, 309, 26119, 282, 39309, 29549, 14928, 13027, 33262, 4137, 23263, 375, 18, 478, 4441, 1176, 411, 3322, 22711, 14749, 281, 4947, 4611, 3081, 25206, 16, 3521, 25206, 14016, 289, 3960, 2553, 16, 289, 349, 722, 13952, 910, 510, 2815, 1655, 18675, 1545, 18, 2949, 924, 16, 1595, 19427, 5860, 6985, 16872, 360, 8448, 4568, 14019, 1437, 18, 824, 697, 4734, 16, 2990, 40122, 28242, 2993, 10030, 687, 329, 17981, 16, 289, 294, 2222, 575, 3023, 8630, 16, 374, 18747, 1513, 3219, 2253, 683, 10492, 319, 2388, 24727, 334, 19290, 18, 385, 1126, 761, 1479, 24225, 6325, 12679, 2172, 371, 2420, 11186, 334, 12939, 4143, 10268, 30255, 18868, 5054, 289, 22591, 1631, 18, 39442, 7067, 20353, 294, 9441, 14457, 281, 14503, 478, 1555, 5805, 11011, 470, 4126, 13595, 6325, 2450, 2540, 323, 18, 478, 5673, 346, 5064, 26286, 5247, 2903, 973, 289, 8597, 432, 37762, 49130, 434, 4000, 281, 5173, 4774, 990, 4533, 289, 44769, 282, 15206, 322, 895, 953, 4608, 465, 299, 28106, 4345, 16, 428, 1493, 341, 982, 4504, 47034, 22674, 2593, 289, 289, 30358, 46014, 274, 910, 510, 17930, 282, 17292, 23032, 18, 2861, 17745, 1157, 18310, 21935, 6508, 2403, 8825, 35216, 16, 11860, 382, 411, 2024, 5823, 282, 18923, 478, 32485, 18, 8381, 861, 996, 16, 5938, 44025, 16, 334, 4734, 25656, 1051, 16, 12233, 40122, 22377, 2973, 895, 26449, 687, 24030, 1624, 428, 30653, 451, 4831, 16, 322, 2302, 7021, 282, 6138, 27898, 2891, 18, 40144, 2959, 478, 298, 2935, 1788, 28467, 22823, 282, 6829, 281, 868, 10484, 289, 32892, 611, 291, 7340, 6507, 40010, 4000, 16, 1586, 4198, 324, 360, 5546, 1489, 25215, 6431, 27898, 2891, 910, 46251, 282, 25873, 18, 3529, 428, 24148, 19750, 18747, 9972, 322, 19058, 315, 18, 2949, 924, 16, 23716, 12137, 12851, 18749, 502, 16, 374, 22377, 3173, 4385, 29581, 1086, 282, 12564, 18, 478, 36928, 8650, 15131, 289, 12298, 42042, 22485, 4314, 4769, 3416, 16, 49632, 6503, 8674, 1145, 758, 478, 9165, 6011, 17, 2987, 10770, 758, 470, 7461, 353, 18893, 539, 14781, 4284, 289, 8468, 16, 1480, 11228, 2219, 954, 17209, 910, 510, 5130, 282, 25873, 18, 478, 11636, 1250, 473, 40242, 6087, 8012, 510, 478, 18386, 18, 8381, 9979, 29839, 4453, 6144, 1016, 2678, 334, 22061, 41471, 46012, 14471, 16, 33550, 14414, 8225, 478, 788, 16688, 26623, 910, 502, 912, 49632, 4283, 4958, 1887, 910, 510, 6498, 294, 14728, 282, 4770, 1212, 35351, 18, 39442, 7067, 13056, 802, 16, 374, 22377, 3173, 4040, 12584, 416, 478, 1477, 416, 1322, 761, 910, 453, 428, 1158, 549, 45764, 2567, 2703, 285, 7152, 891, 282, 5792, 18491, 1631, 282, 24515, 360, 3147, 7514, 416, 38360, 553, 334, 10009, 25364, 670, 1810, 18, 23569, 17461, 835, 1631, 16, 3203, 4770, 718, 7067, 25666, 6072, 399, 842, 5273, 24219, 34461, 8217, 16148, 536, 18, 478, 630, 419, 802, 6247, 3674, 11967, 309, 2954, 30, 9158, 282, 18747, 16, 13453, 282, 5792, 18, 608, 2040, 484, 687, 6917, 290, 17300, 549, 19354, 7434, 910, 510, 2815, 25656, 742, 478, 46088, 18, 8381, 861, 365, 7623, 2083, 19048, 7312, 16129, 437, 29777, 8007, 954, 18, 824, 3163, 45695, 16, 309, 13420, 11056, 11285, 895, 13079, 505, 309, 3177, 11073, 18, 9873, 14471, 381, 34461, 8217, 14909, 437, 29777, 8007, 954, 1698, 1038, 31573, 293, 1380, 9047, 290, 3043, 4840, 2703, 285, 7152, 891, 282, 5792, 289, 4666, 697, 49495, 22360, 18, 478, 4441, 840, 2988, 7153, 1357, 16, 2988, 5771, 281, 13349, 3021, 910, 510, 9848, 478, 46088, 18, 8381, 470, 25414, 18, 2, 1, 87, 1456, 81, 2448, 30, 30197, 4872, 282, 9937, 1715, 2180, 5650, 44951, 19048, 16, 581, 1815, 2990, 4407, 2675, 21030, 708, 267, 3031, 883, 9771, 11291, 16, 10432, 520, 697, 16289, 538, 13943, 1190, 13526, 14426, 670, 575, 2353, 9600, 6273, 294, 22010, 10781, 6677, 28912, 22941, 12984, 18, 37188, 1133, 3586, 48626, 3275, 2035, 5738, 26162, 3215, 6575, 2110, 4004, 16, 505, 4755, 3484, 334, 5009, 13360, 9212, 16, 515, 29724, 2856, 1715, 2504, 322, 1559, 18, 31224, 30, 17394, 3252, 548, 16934, 7650, 282, 5572, 32093, 19048, 16, 39677, 17848, 44596, 10419, 360, 26318, 10144, 7010, 2632, 289, 6273, 294, 22010, 10781, 6677, 28912, 22941, 12984, 411, 7619, 34685, 6574, 1861, 18, 1895, 2253, 1247, 290, 970, 16, 7003, 318, 520, 8044, 5791, 26318, 10144, 1728, 13526, 670, 2353, 329, 1129, 17586, 2990, 16092, 16, 1747, 16872, 21030, 708, 267, 3031, 883, 18, 365, 1750, 827, 16872, 16201, 11919, 9258, 266, 10419, 360, 26318, 10144, 16, 478, 21960, 276, 470, 1747, 25385, 13357, 2175, 30, 10711, 14019, 783, 16, 1474, 8518, 282, 708, 267, 3031, 750, 16, 2879, 840, 20561, 322, 2619, 3437, 6574, 1861, 16, 1639, 745, 7187, 373, 4641, 282, 15689, 1212, 13735, 18, 2112, 1660, 2990, 10204, 26395, 21935, 1175, 18, 365, 1423, 3678, 16, 5037, 4000, 30452, 1421, 6574, 2087, 411, 1209, 34685, 14019, 5613, 289, 47371, 697, 5187, 282, 45754, 12760, 16, 988, 289, 17700, 478, 21960, 276, 861, 50215, 778, 26280, 18573, 472, 511, 1736, 6001, 296, 4083, 1624, 2390, 1779, 19048, 282, 48619, 282, 9937, 16, 4725, 16, 374, 492, 7316, 286, 4407, 2389, 1209, 14019, 1437, 16, 294, 2222, 575, 478, 546, 357, 429, 9784, 30721, 861, 824, 505, 3163, 16, 282, 1750, 827, 5549, 475, 17, 2767, 26628, 8969, 349, 1807, 2990, 309, 26301, 15689, 1133, 11031, 16, 282, 31595, 475, 3066, 5702, 9427, 290, 3775, 45214, 9077, 334, 50177, 954, 6574, 1861, 281, 12984, 16, 2686, 16, 428, 1717, 1747, 25385, 870, 19934, 16, 8070, 11291, 2419, 28308, 18, 9668, 7920, 334, 12128, 30261, 31498, 4137, 43391, 3740, 11906, 282, 3177, 44774, 9360, 28625, 276, 35216, 16, 32949, 16, 374 ]
[ 492, 3744, 1893, 478, 33861, 2134, 485, 289, 20383, 48313, 470, 1209, 12466, 16, 289, 6455, 8695, 437, 29777, 8007, 954, 5738, 16, 428, 1747, 5840, 506, 12797, 1250, 282, 15209, 16, 6309, 6379, 360, 26318, 10144, 18, 45241, 17, 436, 931, 320, 16934, 3720, 34092, 1624, 1029, 4296, 14668, 16, 3973, 16, 374, 453, 428, 21394, 19163, 11755, 10944, 10416, 11394, 16, 502, 23527, 7059, 5245, 505, 334, 5009, 13360, 48687, 289, 4751, 10080, 277, 2678, 16963, 1472, 334, 1272, 6356, 360, 5690, 18, 510, 19743, 16, 367, 2006, 329, 813, 1494, 21394, 3322, 3275, 1580, 11755, 10944, 22033, 2625, 519, 8508, 289, 12530, 5245, 334, 5009, 13360, 48687, 35, 11957, 322, 38890, 18582, 16, 510, 11894, 9117, 18573, 6370, 21605, 523, 18, 510, 629, 2447, 16, 2091, 16, 8658, 6935, 7059, 309, 33126, 16, 515, 6441, 16, 387, 2419, 11782, 16, 1851, 840, 16, 510, 18615, 1109, 26280, 18573, 34092, 18, 2112, 978, 4407, 2675, 16670, 16963, 3586, 48626, 35216, 18, 740, 3891, 639, 7339, 3670, 16, 4010, 6843, 4247, 11815, 9261, 11919, 9391, 294, 49924, 290, 3775, 6309, 12466, 360, 26318, 15689, 933, 10144, 18, 996, 16, 3057, 16, 13960, 285, 25666, 1034, 671, 283, 4083, 2006, 17, 299, 2363, 43391, 14479, 16, 374, 4733, 15946, 505, 34682, 16752, 342, 39191, 16, 27939, 374, 282, 16152, 35216, 10986, 10128, 16, 374, 10419, 360, 10144, 13526, 895, 3591, 5549, 18, 18154, 13960, 285, 4137, 29047, 1970, 2916, 709, 11616, 16, 840, 520, 3038, 360, 26318, 10144, 30147, 3250, 16, 1830, 282, 11755, 508, 464, 3226, 575, 9921, 16, 374, 481, 895, 18815, 282, 3591, 2083, 18, 7100, 3702, 3619, 11309, 360, 28513, 12595, 391, 19937, 18, 510, 1345, 16593, 1122, 16, 988, 3085, 21554, 26301, 11031, 7010, 2632, 16, 18350, 12760, 1133, 4623, 360, 18293, 40409, 18373, 11630, 282, 8156, 1634, 16249, 541, 697, 8314, 16, 1548, 374, 1542, 19261, 20751, 14679, 7717, 979, 18, 1345, 7836, 16, 428, 309, 18373, 11630, 3465, 530, 289, 32546, 697, 5524, 5559, 349, 2236, 20449, 289, 322, 5524, 5559, 349, 4758, 16, 481, 5073, 21261, 8314, 6993, 21223, 289, 1715, 35487, 8809, 16, 510, 3973, 391, 19937, 18, 510, 2465, 12329, 3702, 478, 597, 1357, 470, 3960, 5984, 11815, 18, 1178, 25597, 3191, 40409, 428, 7717, 468, 670, 827, 7717, 979, 22890, 13534, 334, 5083, 27838, 6309, 282, 8314, 16, 502, 16, 895, 953, 16, 7146, 481, 16830, 289, 3089, 1190, 8720, 541, 1033, 8890, 1580, 7717, 891, 16, 510, 13879, 3064, 43391, 3740, 18, 5333, 2175, 16, 942, 2048, 5042, 16, 374, 360, 4111, 478, 597, 5718, 2009, 28553, 910, 290, 2114, 18618, 391, 19937, 16, 282, 10264, 808, 322, 12350, 18, 640, 7426, 15689, 933, 10296, 2418, 3802, 282, 17618, 12466, 1177, 38559, 7556, 35180, 1097, 12764, 23536, 12466, 541, 7811, 281, 8448, 18302, 6574, 2389, 18, 3739, 1176, 11309, 360, 28513, 6070, 450, 578, 5269, 3973, 16, 374, 8044, 12466, 16, 988, 16872, 21030, 708, 267, 3031, 883, 9258, 266, 26581, 26301, 15689, 1133, 11031, 16, 9600, 1747, 37048, 41477, 2099, 758, 30571, 18, 439, 827, 481, 14864, 16, 3057, 16, 282, 49973, 1290, 16, 502, 760, 33611, 8044, 1335, 8193, 1698, 6506, 20183, 309, 502, 16, 374, 697, 40379, 31478, 758, 13943, 1190, 20840, 5791, 16, 4725, 11309, 18, 510, 1012, 4732, 22070, 4077, 16, 3835, 7216, 8577, 43108, 617, 2891, 18, 16348, 33692, 622, 2891, 27450, 411, 3018, 3247, 12779, 289, 15289, 10874, 290, 970, 16, 374, 17586, 2641, 2397, 2990, 12779, 18, 640, 870, 1272, 10147, 1321, 26540, 41377, 7957, 27245, 8819, 12466, 16, 289, 19048, 428, 445, 4360, 19486, 10786, 42472, 16, 510, 1858, 39253, 43391, 3740, 18, 510, 24343, 3325, 784, 16, 374, 2141, 3621, 282, 48619, 35, 1397, 349, 8921, 448, 28843, 35, 6193, 990, 4776, 2158, 656, 1609, 3637, 349, 4193, 294, 26524, 5748, 2381, 16, 289, 387, 5780, 16, 374, 1568, 33345, 322, 424, 23057, 4586, 7126, 24268, 1798, 16, 367, 453, 2944, 639, 15647, 315, 18, 4338, 5425, 3670, 16, 2006, 478, 2499, 4230, 783, 26510, 701, 861, 5257, 374, 8084, 16, 374, 3038, 360, 26318, 10144, 8350, 8593, 329, 2891, 13526, 277, 17, 32402, 648, 7223, 1122, 16, 988, 697, 16414, 4179, 33156, 16, 510, 3210, 16, 24463, 1247, 6370, 21605, 523, 18, 510, 608, 1304, 5907, 31895, 8125, 16, 289, 13302, 16, 374, 7406, 282, 1360, 10035, 11204, 1337, 4128, 15870, 24923, 13641, 18, 17829, 13161, 1304, 16, 374, 322, 3419, 8180, 290, 970, 16, 374, 2003, 4106, 17, 299, 9193, 8955, 16, 481, 13030, 541, 924, 16, 753, 21977, 22627, 48435, 5969, 4096, 282, 5329, 17618, 8640, 16, 510, 11218, 975, 43391, 3740, 18, 365, 1634, 11815, 292, 7190, 360, 22519, 10073, 7859, 702, 6527, 289, 16289, 12057, 16, 2006, 745, 475, 19048, 24445, 18, 365, 4729, 6160, 19846, 16567, 18, 5161, 16, 11309, 360, 28513, 4137, 26679, 36230, 1051, 17602, 478, 404, 7695, 282, 23519, 292, 16, 374, 28513, 15349, 478, 19563, 516, 6551, 910, 1548, 374, 28513, 1494, 906, 1279, 10144, 7010, 2632, 289, 828, 3440, 11548, 697, 13943, 16, 867, 1882, 861, 22258, 22191, 15626, 586, 1972, 319, 45955, 8014, 300, 19048, 282, 18767, 289, 34801, 16, 33160, 16, 374, 492, 2242, 333, 2603, 1211, 20383, 48313, 12466, 16, 374, 492, 35132, 282, 6937, 4830, 289, 1623, 3945, 3021, 478, 1861, 1219, 637, 36977, 470, 22710, 2891, 655, 2112, 1660, 3828, 16, 374, 14019, 783, 17838, 282, 5572, 32093, 19048, 15349, 18, 11662, 539, 7642, 1611, 857, 18804, 9117, 648, 507, 6816, 14879, 18906, 718, 18, 4635, 294, 3130, 15732, 3871, 3685, 8448, 5355, 11919, 1183, 17575, 4879, 21605, 3340, 1624, 282, 5072, 48236, 547, 4666, 1609, 4838, 16040, 520, 21189, 30430, 354, 13798, 4018, 779, 18, 510, 832, 1381, 1299, 48624, 7340, 29384, 16, 510, 17857, 2077, 14853, 1779, 21605, 3340, 14879, 18906, 778, 18, 510, 5093, 1038, 35212, 3400, 6574, 1861, 16, 961, 4623, 1698, 11567, 21935, 18, 3510, 827, 4136, 17, 299, 10080, 49804, 9469, 6574, 1861, 16, 481, 895, 8658, 4830, 282, 16160, 539, 5510, 18, 9584, 6087, 2975, 656, 3068, 406, 18, 2151, 24675, 48504, 4504, 1299, 537, 294, 5414, 18, 365, 970, 16, 374, 19048, 290, 23038, 21030, 708, 267, 3031, 883, 38368, 1634, 21385, 22776, 758, 7694, 13526, 309, 26318, 10296, 16, 27631, 26280, 648, 1013, 1624, 726, 1329, 3914, 434, 322, 639, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 492, 3744, 1893, 478, 33861, 2134, 485, 289, 20383, 48313, 470, 1209, 12466, 16, 289, 6455, 8695, 437, 29777, 8007, 954, 5738, 16, 428, 1747, 5840, 506, 12797, 1250, 282, 15209, 16, 6309, 6379, 360, 26318, 10144, 18, 45241, 17, 436, 931, 320, 16934, 3720, 34092, 1624, 1029, 4296, 14668, 16, 3973, 16, 374, 453, 428, 21394, 19163, 11755, 10944, 10416, 11394, 16, 502, 23527, 7059, 5245, 505, 334, 5009, 13360, 48687, 289, 4751, 10080, 277, 2678, 16963, 1472, 334, 1272, 6356, 360, 5690, 18, 510, 19743, 16, 367, 2006, 329, 813, 1494, 21394, 3322, 3275, 1580, 11755, 10944, 22033, 2625, 519, 8508, 289, 12530, 5245, 334, 5009, 13360, 48687, 35, 11957, 322, 38890, 18582, 16, 510, 11894, 9117, 18573, 6370, 21605, 523, 18, 510, 629, 2447, 16, 2091, 16, 8658, 6935, 7059, 309, 33126, 16, 515, 6441, 16, 387, 2419, 11782, 16, 1851, 840, 16, 510, 18615, 1109, 26280, 18573, 34092, 18, 2112, 978, 4407, 2675, 16670, 16963, 3586, 48626, 35216, 18, 740, 3891, 639, 7339, 3670, 16, 4010, 6843, 4247, 11815, 9261, 11919, 9391, 294, 49924, 290, 3775, 6309, 12466, 360, 26318, 15689, 933, 10144, 18, 996, 16, 3057, 16, 13960, 285, 25666, 1034, 671, 283, 4083, 2006, 17, 299, 2363, 43391, 14479, 16, 374, 4733, 15946, 505, 34682, 16752, 342, 39191, 16, 27939, 374, 282, 16152, 35216, 10986, 10128, 16, 374, 10419, 360, 10144, 13526, 895, 3591, 5549, 18, 18154, 13960, 285, 4137, 29047, 1970, 2916, 709, 11616, 16, 840, 520, 3038, 360, 26318, 10144, 30147, 3250, 16, 1830, 282, 11755, 508, 464, 3226, 575, 9921, 16, 374, 481, 895, 18815, 282, 3591, 2083, 18, 7100, 3702, 3619, 11309, 360, 28513, 12595, 391, 19937, 18, 510, 1345, 16593, 1122, 16, 988, 3085, 21554, 26301, 11031, 7010, 2632, 16, 18350, 12760, 1133, 4623, 360, 18293, 40409, 18373, 11630, 282, 8156, 1634, 16249, 541, 697, 8314, 16, 1548, 374, 1542, 19261, 20751, 14679, 7717, 979, 18, 1345, 7836, 16, 428, 309, 18373, 11630, 3465, 530, 289, 32546, 697, 5524, 5559, 349, 2236, 20449, 289, 322, 5524, 5559, 349, 4758, 16, 481, 5073, 21261, 8314, 6993, 21223, 289, 1715, 35487, 8809, 16, 510, 3973, 391, 19937, 18, 510, 2465, 12329, 3702, 478, 597, 1357, 470, 3960, 5984, 11815, 18, 1178, 25597, 3191, 40409, 428, 7717, 468, 670, 827, 7717, 979, 22890, 13534, 334, 5083, 27838, 6309, 282, 8314, 16, 502, 16, 895, 953, 16, 7146, 481, 16830, 289, 3089, 1190, 8720, 541, 1033, 8890, 1580, 7717, 891, 16, 510, 13879, 3064, 43391, 3740, 18, 5333, 2175, 16, 942, 2048, 5042, 16, 374, 360, 4111, 478, 597, 5718, 2009, 28553, 910, 290, 2114, 18618, 391, 19937, 16, 282, 10264, 808, 322, 12350, 18, 640, 7426, 15689, 933, 10296, 2418, 3802, 282, 17618, 12466, 1177, 38559, 7556, 35180, 1097, 12764, 23536, 12466, 541, 7811, 281, 8448, 18302, 6574, 2389, 18, 3739, 1176, 11309, 360, 28513, 6070, 450, 578, 5269, 3973, 16, 374, 8044, 12466, 16, 988, 16872, 21030, 708, 267, 3031, 883, 9258, 266, 26581, 26301, 15689, 1133, 11031, 16, 9600, 1747, 37048, 41477, 2099, 758, 30571, 18, 439, 827, 481, 14864, 16, 3057, 16, 282, 49973, 1290, 16, 502, 760, 33611, 8044, 1335, 8193, 1698, 6506, 20183, 309, 502, 16, 374, 697, 40379, 31478, 758, 13943, 1190, 20840, 5791, 16, 4725, 11309, 18, 510, 1012, 4732, 22070, 4077, 16, 3835, 7216, 8577, 43108, 617, 2891, 18, 16348, 33692, 622, 2891, 27450, 411, 3018, 3247, 12779, 289, 15289, 10874, 290, 970, 16, 374, 17586, 2641, 2397, 2990, 12779, 18, 640, 870, 1272, 10147, 1321, 26540, 41377, 7957, 27245, 8819, 12466, 16, 289, 19048, 428, 445, 4360, 19486, 10786, 42472, 16, 510, 1858, 39253, 43391, 3740, 18, 510, 24343, 3325, 784, 16, 374, 2141, 3621, 282, 48619, 35, 1397, 349, 8921, 448, 28843, 35, 6193, 990, 4776, 2158, 656, 1609, 3637, 349, 4193, 294, 26524, 5748, 2381, 16, 289, 387, 5780, 16, 374, 1568, 33345, 322, 424, 23057, 4586, 7126, 24268, 1798, 16, 367, 453, 2944, 639, 15647, 315, 18, 4338, 5425, 3670, 16, 2006, 478, 2499, 4230, 783, 26510, 701, 861, 5257, 374, 8084, 16, 374, 3038, 360, 26318, 10144, 8350, 8593, 329, 2891, 13526, 277, 17, 32402, 648, 7223, 1122, 16, 988, 697, 16414, 4179, 33156, 16, 510, 3210, 16, 24463, 1247, 6370, 21605, 523, 18, 510, 608, 1304, 5907, 31895, 8125, 16, 289, 13302, 16, 374, 7406, 282, 1360, 10035, 11204, 1337, 4128, 15870, 24923, 13641, 18, 17829, 13161, 1304, 16, 374, 322, 3419, 8180, 290, 970, 16, 374, 2003, 4106, 17, 299, 9193, 8955, 16, 481, 13030, 541, 924, 16, 753, 21977, 22627, 48435, 5969, 4096, 282, 5329, 17618, 8640, 16, 510, 11218, 975, 43391, 3740, 18, 365, 1634, 11815, 292, 7190, 360, 22519, 10073, 7859, 702, 6527, 289, 16289, 12057, 16, 2006, 745, 475, 19048, 24445, 18, 365, 4729, 6160, 19846, 16567, 18, 5161, 16, 11309, 360, 28513, 4137, 26679, 36230, 1051, 17602, 478, 404, 7695, 282, 23519, 292, 16, 374, 28513, 15349, 478, 19563, 516, 6551, 910, 1548, 374, 28513, 1494, 906, 1279, 10144, 7010, 2632, 289, 828, 3440, 11548, 697, 13943, 16, 867, 1882, 861, 22258, 22191, 15626, 586, 1972, 319, 45955, 8014, 300, 19048, 282, 18767, 289, 34801, 16, 33160, 16, 374, 492, 2242, 333, 2603, 1211, 20383, 48313, 12466, 16, 374, 492, 35132, 282, 6937, 4830, 289, 1623, 3945, 3021, 478, 1861, 1219, 637, 36977, 470, 22710, 2891, 655, 2112, 1660, 3828, 16, 374, 14019, 783, 17838, 282, 5572, 32093, 19048, 15349, 18, 11662, 539, 7642, 1611, 857, 18804, 9117, 648, 507, 6816, 14879, 18906, 718, 18, 4635, 294, 3130, 15732, 3871, 3685, 8448, 5355, 11919, 1183, 17575, 4879, 21605, 3340, 1624, 282, 5072, 48236, 547, 4666, 1609, 4838, 16040, 520, 21189, 30430, 354, 13798, 4018, 779, 18, 510, 832, 1381, 1299, 48624, 7340, 29384, 16, 510, 17857, 2077, 14853, 1779, 21605, 3340, 14879, 18906, 778, 18, 510, 5093, 1038, 35212, 3400, 6574, 1861, 16, 961, 4623, 1698, 11567, 21935, 18, 3510, 827, 4136, 17, 299, 10080, 49804, 9469, 6574, 1861, 16, 481, 895, 8658, 4830, 282, 16160, 539, 5510, 18, 9584, 6087, 2975, 656, 3068, 406, 18, 2151, 24675, 48504, 4504, 1299, 537, 294, 5414, 18, 365, 970, 16, 374, 19048, 290, 23038, 21030, 708, 267, 3031, 883, 38368, 1634, 21385, 22776, 758, 7694, 13526, 309, 26318, 10296, 16, 27631, 26280, 648, 1013, 1624, 726, 1329, 3914, 434, 322, 639, 18 ]
[ 365, 3198, 349, 24300, 35216, 282, 5572, 32093, 36695, 4317, 23, 1631, 16, 1279, 510, 1533, 11630, 16, 35988, 6379, 322, 639, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 1206, 332, 520, 33551, 19715, 411, 12142, 16, 2710, 3531, 26659, 1450, 5564, 530, 289, 12107, 520, 23255, 22858, 5800, 2553, 16, 282, 4698, 3678, 9807, 16, 510, 40815, 19211, 9616, 17407, 309, 1283, 21062, 282, 38342, 16460, 42457, 14812, 18, 1012, 23702, 4830, 15803, 31980, 16, 10570, 7894, 282, 3507, 411, 17, 431, 37922, 16, 11272, 687, 5475, 18, 31224, 30, 677, 19883, 1212, 38342, 16460, 4016, 3612, 799, 269, 31804, 15173, 17, 295, 15602, 451, 24761, 15623, 18, 999, 2684, 564, 365, 1605, 1182, 10243, 282, 43017, 17, 31508, 282, 1658, 18, 646, 334, 30367, 1612, 473, 3572, 18, 646, 21014, 13, 281, 23143, 424, 7848, 478, 5801, 912, 7969, 36638, 13641, 5433, 35975, 28329, 17407, 2458, 3586, 290, 46090, 12142, 289, 290, 6571, 3623, 18, 478, 4408, 285, 273, 22139, 549, 358, 287, 322, 2879, 1852, 529, 273, 22139, 416, 16, 510, 2815, 309, 26352, 23143, 30918, 16652, 10082, 948, 1034, 342, 296, 18, 510, 1345, 2125, 34090, 18992, 411, 39900, 18, 19859, 29049, 1247, 510, 7451, 520, 656, 726, 411, 12142, 670, 20966, 1223, 1472, 47346, 6441, 41505, 2559, 5433, 2787, 16, 374, 3621, 282, 46509, 913, 16, 1176, 411, 16933, 973, 16447, 541, 35920, 7234, 16, 19755, 8942, 30851, 6835, 17, 29596, 1665, 5888, 12758, 7989, 16, 1029, 529, 1866, 6287, 12142, 18, 2949, 978, 6367, 16652, 11289, 341, 26192, 6591, 2898, 309, 13841, 2118, 16, 367, 1038, 14440, 32700, 485, 26659, 651, 15896, 282, 11079, 1251, 7596, 36514, 289, 45914, 16, 12654, 289, 13340, 2839, 298, 355, 289, 48448, 282, 25546, 18, 6331, 1212, 16, 1029, 8671, 10070, 17808, 6551, 16, 11009, 16652, 45691, 13099, 2898, 309, 11460, 18, 8426, 1353, 778, 6591, 43065, 2898, 294, 24880, 4843, 10590, 349, 26650, 3014, 6532, 478, 262, 18616, 761, 910, 2815, 5037, 20305, 39724, 2241, 786, 1050, 565, 27655, 2549, 744, 2101, 452, 312, 18, 478, 4441, 2410, 1269, 16, 289, 1542, 7072, 6605, 2410, 7885, 910, 510, 9848, 492, 282, 1375, 1528, 34046, 16652, 18, 26050, 309, 11460, 40999, 3716, 5575, 414, 4843, 10590, 349, 26650, 282, 8151, 3612, 16, 515, 1011, 10744, 45904, 290, 3775, 7019, 20569, 1197, 5772, 10960, 309, 8275, 282, 4301, 30116, 9608, 370, 36350, 4767, 48154, 13656, 18, 3727, 3460, 8290, 6863, 411, 12142, 2394, 15844, 22858, 5800, 2553, 16, 2805, 453, 22168, 2553, 48542, 684, 1624, 6881, 11009, 16652, 18, 365, 981, 23189, 371, 1521, 576, 15513, 539, 5630, 14314, 411, 49361, 2044, 510, 11612, 289, 13105, 16, 374, 16, 334, 4734, 9163, 6367, 16, 16672, 290, 21110, 5375, 36980, 5526, 763, 1333, 282, 6571, 16211, 18, 478, 6889, 711, 1454, 18019, 1070, 16711, 2066, 931, 289, 6591, 49361, 32226, 651, 481, 14491, 26194, 34279, 1333, 16, 510, 2815, 309, 23143, 8624, 7067, 18820, 17615, 680, 2241, 1234, 2148, 674, 11288, 406, 378, 628, 675, 18, 510, 4852, 1533, 986, 19715, 49361, 2044, 3221, 5432, 670, 5859, 288, 4634, 4982, 7234, 2145, 289, 41621, 4843, 2932, 34278, 861, 34847, 1756, 282, 46791, 639, 10179, 1569, 10939, 306, 16, 1029, 9280, 48516, 4132, 4523, 6591, 17850, 18, 3557, 322, 2619, 16, 14517, 22142, 8751, 45894, 1066, 289, 2678, 11769, 4090, 20454, 478, 864, 936, 521, 910, 11009, 38342, 4654, 48484, 10064, 26209, 8204, 416, 28674, 282, 25198, 289, 19831, 4612, 294, 2902, 3756, 10216, 272, 334, 7413, 281, 23892, 18, 478, 6207, 6611, 24665, 549, 6295, 282, 2968, 2397, 6843, 294, 12384, 11612, 16, 510, 9299, 8942, 4211, 17, 7701, 8076, 907, 49, 40, 282, 44479, 363, 404, 1870, 552, 331, 504, 3394, 18, 510, 629, 322, 17885, 30288, 1999, 360, 16711, 13764, 16, 515, 19205, 813, 895, 42129, 861, 6023, 320, 286, 520, 9807, 13501, 20858, 11254, 670, 34206, 670, 25601, 11440, 309, 24257, 510, 1215, 374, 656, 3984, 20982, 12369, 16, 41274, 3064, 8942, 18, 9807, 322, 15998, 14321, 14922, 15948, 18, 478, 4441, 44091, 8192, 424, 49624, 45970, 11908, 567, 7410, 281, 17392, 355, 16, 3143, 2545, 329, 965, 14557, 1133, 4466, 289, 16628, 2422, 334, 15749, 18, 439, 282, 11736, 282, 29723, 2244, 7019, 322, 687, 35343, 289, 9807, 16, 515, 289, 27106, 775, 16, 13466, 2210, 16085, 16, 27500, 280, 910, 510, 2815, 39762, 6187, 8511, 434, 27398, 354, 1234, 52, 52, 19432, 16195, 1549, 16, 935, 1978, 8694, 26541, 411, 34113, 10352, 13022, 478, 598, 420, 42337, 470, 282, 4599, 9163, 14795, 17310, 2066, 931, 18, 7249, 309, 5907, 3400, 12253, 712, 16, 322, 475, 11009, 16652, 7737, 45237, 294, 505, 19046, 18, 996, 16, 6576, 451, 17928, 16652, 6842, 868, 472, 673, 1359, 9561, 6936, 309, 1177, 445, 4521, 47727, 25620, 282, 981, 23189, 18, 11849, 978, 6248, 4752, 17058, 282, 15243, 16, 753, 9227, 28510, 18234, 4843, 2783, 16, 1061, 5096, 334, 18202, 18045, 12772, 84, 1564, 14243, 478, 55, 9686, 910, 1586, 16, 428, 18479, 13156, 16, 478, 1723, 341, 309, 20060, 2557, 861, 10110, 1175, 6370, 16640, 1624, 12988, 8694, 25620, 282, 981, 23189, 411, 17, 431, 37922, 282, 6437, 314, 7774, 418, 16, 1943, 23683, 309, 17292, 26352, 4256, 22044, 434, 16652, 16, 2486, 9934, 282, 1281, 18, 3161, 473, 2932, 18, 3161, 21014, 814, 640, 8785, 432, 28760, 16652, 4830, 45227, 2615, 9541, 17, 24339, 7550, 14708, 36355, 1492, 2, 1, 87, 1456, 81, 2448, 30, 22681, 31755, 1018, 35339, 1789, 554, 331, 2815, 381, 39263, 282, 4008, 15310, 15472, 10665, 16, 2486, 840, 26675, 290, 3498, 731, 11504, 6797, 1751, 4186, 16, 289, 16167, 5806, 9798, 15465, 2553, 510, 8078, 5032, 289, 31943, 608, 361, 5126, 546, 1508, 18, 26293, 332, 312, 7964, 647, 46364, 2059, 411, 3322, 23773, 11460, 306, 2044, 16, 2686, 16, 309, 2456, 2463, 939, 17295, 405, 16, 6881, 14697, 18, 31224, 30, 8215, 31755, 1018, 35339, 1789, 554, 331, 29151, 6125, 282, 4008, 9541, 17, 2168, 1318, 662, 334, 9942, 15678, 15472, 10665, 16, 5923, 29996, 24036, 2706, 3802, 18, 30284, 28402, 840, 11558, 349, 34264, 290, 38442, 770, 16, 31174, 16, 367, 1038, 11915, 5706, 289, 35074, 432, 16, 9848, 4770, 18, 8985, 1087, 350, 1709, 8022, 341, 7259, 289, 11350, 17, 476, 3252, 266, 20280, 5767, 40614, 31755, 1018, 30308, 5888, 6331, 397, 18, 31755, 332, 1974 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 365, 3198, 349, 24300, 35216, 282, 5572, 32093, 36695, 4317, 23, 1631, 16, 1279, 510, 1533, 11630, 16, 35988, 6379, 322, 639, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 1206, 332, 520, 33551, 19715, 411, 12142, 16, 2710, 3531, 26659, 1450, 5564, 530, 289, 12107, 520, 23255, 22858, 5800, 2553, 16, 282, 4698, 3678, 9807, 16, 510, 40815, 19211, 9616, 17407, 309, 1283, 21062, 282, 38342, 16460, 42457, 14812, 18, 1012, 23702, 4830, 15803, 31980, 16, 10570, 7894, 282, 3507, 411, 17, 431, 37922, 16, 11272, 687, 5475, 18, 31224, 30, 677, 19883, 1212, 38342, 16460, 4016, 3612, 799, 269, 31804, 15173, 17, 295, 15602, 451, 24761, 15623, 18, 999, 2684, 564, 365, 1605, 1182, 10243, 282, 43017, 17, 31508, 282, 1658, 18, 646, 334, 30367, 1612, 473, 3572, 18, 646, 21014, 13, 281, 23143, 424, 7848, 478, 5801, 912, 7969, 36638, 13641, 5433, 35975, 28329, 17407, 2458, 3586, 290, 46090, 12142, 289, 290, 6571, 3623, 18, 478, 4408, 285, 273, 22139, 549, 358, 287, 322, 2879, 1852, 529, 273, 22139, 416, 16, 510, 2815, 309, 26352, 23143, 30918, 16652, 10082, 948, 1034, 342, 296, 18, 510, 1345, 2125, 34090, 18992, 411, 39900, 18, 19859, 29049, 1247, 510, 7451, 520, 656, 726, 411, 12142, 670, 20966, 1223, 1472, 47346, 6441, 41505, 2559, 5433, 2787, 16, 374, 3621, 282, 46509, 913, 16, 1176, 411, 16933, 973, 16447, 541, 35920, 7234, 16, 19755, 8942, 30851, 6835, 17, 29596, 1665, 5888, 12758, 7989, 16, 1029, 529, 1866, 6287, 12142, 18, 2949, 978, 6367, 16652, 11289, 341, 26192, 6591, 2898, 309, 13841, 2118, 16, 367, 1038, 14440, 32700, 485, 26659, 651, 15896, 282, 11079, 1251, 7596, 36514, 289, 45914, 16, 12654, 289, 13340, 2839, 298, 355, 289, 48448, 282, 25546, 18, 6331, 1212, 16, 1029, 8671, 10070, 17808, 6551, 16, 11009, 16652, 45691, 13099, 2898, 309, 11460, 18, 8426, 1353, 778, 6591, 43065, 2898, 294, 24880, 4843, 10590, 349, 26650, 3014, 6532, 478, 262, 18616, 761, 910, 2815, 5037, 20305, 39724, 2241, 786, 1050, 565, 27655, 2549, 744, 2101, 452, 312, 18, 478, 4441, 2410, 1269, 16, 289, 1542, 7072, 6605, 2410, 7885, 910, 510, 9848, 492, 282, 1375, 1528, 34046, 16652, 18, 26050, 309, 11460, 40999, 3716, 5575, 414, 4843, 10590, 349, 26650, 282, 8151, 3612, 16, 515, 1011, 10744, 45904, 290, 3775, 7019, 20569, 1197, 5772, 10960, 309, 8275, 282, 4301, 30116, 9608, 370, 36350, 4767, 48154, 13656, 18, 3727, 3460, 8290, 6863, 411, 12142, 2394, 15844, 22858, 5800, 2553, 16, 2805, 453, 22168, 2553, 48542, 684, 1624, 6881, 11009, 16652, 18, 365, 981, 23189, 371, 1521, 576, 15513, 539, 5630, 14314, 411, 49361, 2044, 510, 11612, 289, 13105, 16, 374, 16, 334, 4734, 9163, 6367, 16, 16672, 290, 21110, 5375, 36980, 5526, 763, 1333, 282, 6571, 16211, 18, 478, 6889, 711, 1454, 18019, 1070, 16711, 2066, 931, 289, 6591, 49361, 32226, 651, 481, 14491, 26194, 34279, 1333, 16, 510, 2815, 309, 23143, 8624, 7067, 18820, 17615, 680, 2241, 1234, 2148, 674, 11288, 406, 378, 628, 675, 18, 510, 4852, 1533, 986, 19715, 49361, 2044, 3221, 5432, 670, 5859, 288, 4634, 4982, 7234, 2145, 289, 41621, 4843, 2932, 34278, 861, 34847, 1756, 282, 46791, 639, 10179, 1569, 10939, 306, 16, 1029, 9280, 48516, 4132, 4523, 6591, 17850, 18, 3557, 322, 2619, 16, 14517, 22142, 8751, 45894, 1066, 289, 2678, 11769, 4090, 20454, 478, 864, 936, 521, 910, 11009, 38342, 4654, 48484, 10064, 26209, 8204, 416, 28674, 282, 25198, 289, 19831, 4612, 294, 2902, 3756, 10216, 272, 334, 7413, 281, 23892, 18, 478, 6207, 6611, 24665, 549, 6295, 282, 2968, 2397, 6843, 294, 12384, 11612, 16, 510, 9299, 8942, 4211, 17, 7701, 8076, 907, 49, 40, 282, 44479, 363, 404, 1870, 552, 331, 504, 3394, 18, 510, 629, 322, 17885, 30288, 1999, 360, 16711, 13764, 16, 515, 19205, 813, 895, 42129, 861, 6023, 320, 286, 520, 9807, 13501, 20858, 11254, 670, 34206, 670, 25601, 11440, 309, 24257, 510, 1215, 374, 656, 3984, 20982, 12369, 16, 41274, 3064, 8942, 18, 9807, 322, 15998, 14321, 14922, 15948, 18, 478, 4441, 44091, 8192, 424, 49624, 45970, 11908, 567, 7410, 281, 17392, 355, 16, 3143, 2545, 329, 965, 14557, 1133, 4466, 289, 16628, 2422, 334, 15749, 18, 439, 282, 11736, 282, 29723, 2244, 7019, 322, 687, 35343, 289, 9807, 16, 515, 289, 27106, 775, 16, 13466, 2210, 16085, 16, 27500, 280, 910, 510, 2815, 39762, 6187, 8511, 434, 27398, 354, 1234, 52, 52, 19432, 16195, 1549, 16, 935, 1978, 8694, 26541, 411, 34113, 10352, 13022, 478, 598, 420, 42337, 470, 282, 4599, 9163, 14795, 17310, 2066, 931, 18, 7249, 309, 5907, 3400, 12253, 712, 16, 322, 475, 11009, 16652, 7737, 45237, 294, 505, 19046, 18, 996, 16, 6576, 451, 17928, 16652, 6842, 868, 472, 673, 1359, 9561, 6936, 309, 1177, 445, 4521, 47727, 25620, 282, 981, 23189, 18, 11849, 978, 6248, 4752, 17058, 282, 15243, 16, 753, 9227, 28510, 18234, 4843, 2783, 16, 1061, 5096, 334, 18202, 18045, 12772, 84, 1564, 14243, 478, 55, 9686, 910, 1586, 16, 428, 18479, 13156, 16, 478, 1723, 341, 309, 20060, 2557, 861, 10110, 1175, 6370, 16640, 1624, 12988, 8694, 25620, 282, 981, 23189, 411, 17, 431, 37922, 282, 6437, 314, 7774, 418, 16, 1943, 23683, 309, 17292, 26352, 4256, 22044, 434, 16652, 16, 2486, 9934, 282, 1281, 18, 3161, 473, 2932, 18, 3161, 21014, 814, 640, 8785, 432, 28760, 16652, 4830, 45227, 2615, 9541, 17, 24339, 7550, 14708, 36355, 1492, 2, 1, 87, 1456, 81, 2448, 30, 22681, 31755, 1018, 35339, 1789, 554, 331, 2815, 381, 39263, 282, 4008, 15310, 15472, 10665, 16, 2486, 840, 26675, 290, 3498, 731, 11504, 6797, 1751, 4186, 16, 289, 16167, 5806, 9798, 15465, 2553, 510, 8078, 5032, 289, 31943, 608, 361, 5126, 546, 1508, 18, 26293, 332, 312, 7964, 647, 46364, 2059, 411, 3322, 23773, 11460, 306, 2044, 16, 2686, 16, 309, 2456, 2463, 939, 17295, 405, 16, 6881, 14697, 18, 31224, 30, 8215, 31755, 1018, 35339, 1789, 554, 331, 29151, 6125, 282, 4008, 9541, 17, 2168, 1318, 662, 334, 9942, 15678, 15472, 10665, 16, 5923, 29996, 24036, 2706, 3802, 18, 30284, 28402, 840, 11558, 349, 34264, 290, 38442, 770, 16, 31174, 16, 367, 1038, 11915, 5706, 289, 35074, 432, 16, 9848, 4770, 18, 8985, 1087, 350, 1709, 8022, 341, 7259, 289, 11350, 17, 476, 3252, 266, 20280, 5767, 40614, 31755, 1018, 30308, 5888, 6331, 397, 18, 31755, 332, 1974 ]
[ 281, 4778, 17986, 478, 8719, 434, 20025, 470, 45970, 11908, 2756, 12210, 282, 2580, 478, 40987, 8323, 29304, 3931, 470, 1011, 21546, 608, 361, 5126, 7121, 367, 294, 19790, 19297, 282, 9315, 1045, 18, 365, 4542, 1634, 21012, 5126, 7121, 10218, 16146, 536, 12846, 4186, 2553, 13841, 9164, 44469, 334, 13639, 13059, 20456, 18, 14122, 485, 289, 10664, 448, 18680, 360, 10929, 10960, 10842, 31755, 426, 23503, 2702, 35449, 416, 19297, 282, 22477, 477, 3319, 37376, 334, 1436, 454, 18, 27498, 525, 2089, 13354, 16, 1789, 554, 331, 1038, 15089, 3287, 289, 41553, 290, 3177, 11563, 569, 4044, 16, 22973, 743, 3655, 12501, 9288, 510, 8078, 5032, 289, 31943, 40131, 7410, 4000, 608, 361, 5126, 546, 1508, 16, 1029, 840, 3542, 13234, 1488, 3972, 18, 25310, 10204, 1717, 1335, 18390, 322, 44112, 16, 515, 16, 2628, 16, 15155, 281, 867, 16, 374, 1717, 1488, 3972, 4018, 779, 1655, 12101, 4770, 31755, 1018, 10218, 290, 9423, 282, 3177, 18020, 351, 7492, 18177, 16, 1830, 3255, 8846, 290, 505, 5305, 29243, 5535, 18, 23102, 5126, 7121, 16342, 360, 37624, 354, 1061, 3990, 3734, 779, 18, 832, 22476, 519, 3422, 492, 8566, 1789, 554, 331, 2200, 21121, 2409, 18, 832, 314, 20863, 448, 10744, 289, 3537, 326, 30809, 7272, 726, 10469, 1852, 10980, 416, 31904, 761, 4830, 1789, 554, 331, 18, 3739, 282, 4301, 27803, 416, 25678, 492, 2815, 16, 374, 567, 808, 20428, 16, 367, 1038, 567, 3304, 294, 3130, 1293, 445, 15344, 3826, 1510, 5126, 7121, 282, 478, 420, 476, 12168, 4866, 1645, 861, 439, 309, 13519, 11056, 1789, 554, 331, 47220, 1595, 9399, 18034, 34138, 282, 44154, 1133, 22613, 282, 3106, 39949, 1051, 18, 478, 3001, 29203, 1423, 19187, 309, 8361, 5126, 546, 507, 16, 515, 309, 14511, 42896, 32707, 3964, 322, 17560, 16, 19715, 14493, 2159, 16, 510, 2548, 36641, 8002, 31103, 17461, 45970, 11908, 18748, 16555, 15901, 7884, 7947, 22118, 18, 510, 5696, 507, 1789, 554, 331, 16, 428, 289, 5126, 546, 507, 16, 24445, 7265, 2175, 9637, 289, 4289, 1664, 3740, 1924, 33418, 4186, 18, 3397, 329, 1789, 554, 331, 1101, 1457, 1711, 16, 289, 492, 3957, 23796, 2904, 4186, 360, 36870, 432, 1791, 3537, 31743, 3334, 557, 2661, 18, 478, 31971, 1318, 662, 15472, 10665, 510, 31239, 15068, 2916, 348, 2869, 10359, 282, 28138, 41325, 10144, 289, 9193, 13841, 4964, 294, 14757, 966, 3113, 4151, 18, 365, 4008, 17583, 8280, 451, 25799, 12208, 519, 3695, 7418, 510, 12698, 22118, 18, 510, 2949, 924, 16, 282, 4215, 13540, 627, 15305, 4008, 17583, 25799, 21426, 16, 12117, 5874, 6484, 20720, 294, 3607, 344, 510, 1286, 16, 23, 294, 430, 16, 515, 309, 20717, 5814, 481, 29270, 309, 6579, 3230, 18, 13387, 1161, 15497, 29251, 282, 31755, 426, 349, 7701, 414, 1211, 349, 3610, 7418, 1830, 10211, 33407, 1867, 2393, 15811, 16, 14968, 349, 1746, 282, 15242, 18, 5333, 2175, 16, 13726, 511, 6896, 451, 1789, 554, 331, 2397, 475, 16171, 37684, 22141, 519, 9512, 12783, 18, 824, 31498, 43098, 8470, 13496, 6664, 16, 1011, 3437, 986, 4770, 624, 895, 953, 34807, 38272, 334, 23220, 954, 15678, 2993, 7385, 3247, 477, 1728, 5174, 18, 9857, 2734, 322, 4983, 281, 5126, 546, 3032, 282, 8455, 1045, 16, 289, 3684, 16, 374, 329, 1789, 554, 331, 1336, 2950, 2223, 541, 13759, 287, 18060, 2708, 1081, 40043, 871, 18, 4320, 492, 1727, 3576, 475, 8885, 282, 2580, 19831, 4981, 10960, 289, 17714, 7919, 21426, 861, 1397, 5327, 16391, 5032, 294, 6861, 1789, 554, 331, 16, 502, 309, 7741, 49184, 5888, 718, 15465, 726, 2219, 887, 48118, 18, 824, 3761, 5981, 16, 40907, 23048, 304, 9576, 16, 31755, 332, 906, 39831, 3453, 24750, 19297, 282, 13340, 12903, 18, 3791, 678, 5915, 309, 1658, 17, 277, 2468, 411, 1760, 26, 10263, 282, 7255, 547, 16597, 409, 10665, 4018, 779, 18, 967, 803, 282, 25902, 2044, 334, 16597, 1508, 22005, 16, 334, 3761, 20834, 84, 38328, 21387, 12877, 16, 31755, 332, 8034, 282, 4698, 43829, 281, 3915, 16, 2412, 274, 2261, 25, 17, 263, 1756, 411, 2123, 24, 18, 365, 20834, 3292, 13358, 15833, 16, 374, 11340, 783, 282, 43098, 8470, 13496, 20902, 21893, 305, 309, 1209, 32134, 2891, 18, 2, 1, 87, 1456, 81, 2448, 30, 24775, 778, 5545, 416, 1551, 43209, 294, 7518, 17912, 15978, 40945, 10342, 9798, 19361, 18747, 15803, 10053, 819, 3583, 510, 2236, 411, 5120, 14100, 1101, 290, 7233, 2539, 263, 18, 4756, 334, 2856, 6619, 9353, 758, 898, 37048, 11350, 17, 2210, 342, 2236, 411, 18911, 1312, 17426, 18747, 4210, 8993, 16, 17704, 19287, 40904, 928, 523, 289, 14331, 478, 17007, 3346, 2331, 22016, 44452, 470, 33056, 4712, 42480, 18, 30530, 11103, 4436, 37976, 4821, 324, 16, 3387, 6034, 1101, 14872, 28999, 20362, 18, 31224, 30, 24775, 778, 5545, 416, 12681, 1551, 13749, 30143, 282, 7233, 2539, 263, 9798, 14733, 673, 303, 14260, 2198, 16986, 20419, 3623, 473, 3127, 17426, 13, 18747, 1175, 15803, 10053, 819, 3583, 289, 43209, 505, 294, 7518, 17912, 15978, 40945, 10342, 18, 6158, 349, 11833, 975, 282, 3017, 15857, 808, 16, 2454, 3732, 424, 29092, 281, 3972, 4145, 779, 18, 2949, 924, 16, 10053, 819, 512, 35760, 21291, 29530, 18, 365, 4542, 14160, 4322, 12860, 13749, 1423, 16789, 289, 18789, 5072, 48236, 539, 12735, 477, 23285, 18, 999, 2684, 564, 5683, 282, 48490, 9484, 16, 3387, 11969, 1743, 2397, 5507, 399, 478, 409, 4516, 315, 470, 510, 16044, 1257, 13089, 687, 22833, 15350, 2301, 31862, 18, 2949, 924, 16, 1551, 5930, 364, 13015, 1817, 9285, 2794, 20481, 334, 6619, 510, 282, 970, 2875, 34073, 16, 37491, 289, 28039, 3692, 10053, 819, 3583, 18, 7743, 4502, 4688, 282, 42719, 4666, 510, 17627, 5367, 13749, 16789, 16, 282, 2630, 281, 2184, 4126, 14366, 749, 5981, 20481, 18, 35157, 10053, 819, 3583, 1055, 322, 12026, 3003, 381, 29581, 4543, 31862, 18, 478, 4182, 34564, 309, 2038, 10566, 16, 664, 7871, 27861, 281, 7168, 424, 10336, 536, 289, 1142, 406, 281, 1498, 1247, 381, 29581, 4543, 910, 510, 7332, 8818, 1694, 23394, 12097, 8657, 10998, 295, 8053, 18, 459, 448, 3586, 16, 34688, 1101, 16, 492, 34991, 9473, 18, 10053, 819, 512, 685, 6401, 3250, 6677, 2236, 411, 18911, 1312, 17426, 18747, 16, 19128, 11088, 8993, 367, 18, 4016, 3750, 21694, 5545, 416, 12681, 1551, 13749, 505, 30143, 282, 1949, 10390, 17537, 1087, 511, 6328, 289, 43209, 294, 3405, 17912, 15978, 8302, 10342, 18, 365, 1500 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4778, 17986, 478, 8719, 434, 20025, 470, 45970, 11908, 2756, 12210, 282, 2580, 478, 40987, 8323, 29304, 3931, 470, 1011, 21546, 608, 361, 5126, 7121, 367, 294, 19790, 19297, 282, 9315, 1045, 18, 365, 4542, 1634, 21012, 5126, 7121, 10218, 16146, 536, 12846, 4186, 2553, 13841, 9164, 44469, 334, 13639, 13059, 20456, 18, 14122, 485, 289, 10664, 448, 18680, 360, 10929, 10960, 10842, 31755, 426, 23503, 2702, 35449, 416, 19297, 282, 22477, 477, 3319, 37376, 334, 1436, 454, 18, 27498, 525, 2089, 13354, 16, 1789, 554, 331, 1038, 15089, 3287, 289, 41553, 290, 3177, 11563, 569, 4044, 16, 22973, 743, 3655, 12501, 9288, 510, 8078, 5032, 289, 31943, 40131, 7410, 4000, 608, 361, 5126, 546, 1508, 16, 1029, 840, 3542, 13234, 1488, 3972, 18, 25310, 10204, 1717, 1335, 18390, 322, 44112, 16, 515, 16, 2628, 16, 15155, 281, 867, 16, 374, 1717, 1488, 3972, 4018, 779, 1655, 12101, 4770, 31755, 1018, 10218, 290, 9423, 282, 3177, 18020, 351, 7492, 18177, 16, 1830, 3255, 8846, 290, 505, 5305, 29243, 5535, 18, 23102, 5126, 7121, 16342, 360, 37624, 354, 1061, 3990, 3734, 779, 18, 832, 22476, 519, 3422, 492, 8566, 1789, 554, 331, 2200, 21121, 2409, 18, 832, 314, 20863, 448, 10744, 289, 3537, 326, 30809, 7272, 726, 10469, 1852, 10980, 416, 31904, 761, 4830, 1789, 554, 331, 18, 3739, 282, 4301, 27803, 416, 25678, 492, 2815, 16, 374, 567, 808, 20428, 16, 367, 1038, 567, 3304, 294, 3130, 1293, 445, 15344, 3826, 1510, 5126, 7121, 282, 478, 420, 476, 12168, 4866, 1645, 861, 439, 309, 13519, 11056, 1789, 554, 331, 47220, 1595, 9399, 18034, 34138, 282, 44154, 1133, 22613, 282, 3106, 39949, 1051, 18, 478, 3001, 29203, 1423, 19187, 309, 8361, 5126, 546, 507, 16, 515, 309, 14511, 42896, 32707, 3964, 322, 17560, 16, 19715, 14493, 2159, 16, 510, 2548, 36641, 8002, 31103, 17461, 45970, 11908, 18748, 16555, 15901, 7884, 7947, 22118, 18, 510, 5696, 507, 1789, 554, 331, 16, 428, 289, 5126, 546, 507, 16, 24445, 7265, 2175, 9637, 289, 4289, 1664, 3740, 1924, 33418, 4186, 18, 3397, 329, 1789, 554, 331, 1101, 1457, 1711, 16, 289, 492, 3957, 23796, 2904, 4186, 360, 36870, 432, 1791, 3537, 31743, 3334, 557, 2661, 18, 478, 31971, 1318, 662, 15472, 10665, 510, 31239, 15068, 2916, 348, 2869, 10359, 282, 28138, 41325, 10144, 289, 9193, 13841, 4964, 294, 14757, 966, 3113, 4151, 18, 365, 4008, 17583, 8280, 451, 25799, 12208, 519, 3695, 7418, 510, 12698, 22118, 18, 510, 2949, 924, 16, 282, 4215, 13540, 627, 15305, 4008, 17583, 25799, 21426, 16, 12117, 5874, 6484, 20720, 294, 3607, 344, 510, 1286, 16, 23, 294, 430, 16, 515, 309, 20717, 5814, 481, 29270, 309, 6579, 3230, 18, 13387, 1161, 15497, 29251, 282, 31755, 426, 349, 7701, 414, 1211, 349, 3610, 7418, 1830, 10211, 33407, 1867, 2393, 15811, 16, 14968, 349, 1746, 282, 15242, 18, 5333, 2175, 16, 13726, 511, 6896, 451, 1789, 554, 331, 2397, 475, 16171, 37684, 22141, 519, 9512, 12783, 18, 824, 31498, 43098, 8470, 13496, 6664, 16, 1011, 3437, 986, 4770, 624, 895, 953, 34807, 38272, 334, 23220, 954, 15678, 2993, 7385, 3247, 477, 1728, 5174, 18, 9857, 2734, 322, 4983, 281, 5126, 546, 3032, 282, 8455, 1045, 16, 289, 3684, 16, 374, 329, 1789, 554, 331, 1336, 2950, 2223, 541, 13759, 287, 18060, 2708, 1081, 40043, 871, 18, 4320, 492, 1727, 3576, 475, 8885, 282, 2580, 19831, 4981, 10960, 289, 17714, 7919, 21426, 861, 1397, 5327, 16391, 5032, 294, 6861, 1789, 554, 331, 16, 502, 309, 7741, 49184, 5888, 718, 15465, 726, 2219, 887, 48118, 18, 824, 3761, 5981, 16, 40907, 23048, 304, 9576, 16, 31755, 332, 906, 39831, 3453, 24750, 19297, 282, 13340, 12903, 18, 3791, 678, 5915, 309, 1658, 17, 277, 2468, 411, 1760, 26, 10263, 282, 7255, 547, 16597, 409, 10665, 4018, 779, 18, 967, 803, 282, 25902, 2044, 334, 16597, 1508, 22005, 16, 334, 3761, 20834, 84, 38328, 21387, 12877, 16, 31755, 332, 8034, 282, 4698, 43829, 281, 3915, 16, 2412, 274, 2261, 25, 17, 263, 1756, 411, 2123, 24, 18, 365, 20834, 3292, 13358, 15833, 16, 374, 11340, 783, 282, 43098, 8470, 13496, 20902, 21893, 305, 309, 1209, 32134, 2891, 18, 2, 1, 87, 1456, 81, 2448, 30, 24775, 778, 5545, 416, 1551, 43209, 294, 7518, 17912, 15978, 40945, 10342, 9798, 19361, 18747, 15803, 10053, 819, 3583, 510, 2236, 411, 5120, 14100, 1101, 290, 7233, 2539, 263, 18, 4756, 334, 2856, 6619, 9353, 758, 898, 37048, 11350, 17, 2210, 342, 2236, 411, 18911, 1312, 17426, 18747, 4210, 8993, 16, 17704, 19287, 40904, 928, 523, 289, 14331, 478, 17007, 3346, 2331, 22016, 44452, 470, 33056, 4712, 42480, 18, 30530, 11103, 4436, 37976, 4821, 324, 16, 3387, 6034, 1101, 14872, 28999, 20362, 18, 31224, 30, 24775, 778, 5545, 416, 12681, 1551, 13749, 30143, 282, 7233, 2539, 263, 9798, 14733, 673, 303, 14260, 2198, 16986, 20419, 3623, 473, 3127, 17426, 13, 18747, 1175, 15803, 10053, 819, 3583, 289, 43209, 505, 294, 7518, 17912, 15978, 40945, 10342, 18, 6158, 349, 11833, 975, 282, 3017, 15857, 808, 16, 2454, 3732, 424, 29092, 281, 3972, 4145, 779, 18, 2949, 924, 16, 10053, 819, 512, 35760, 21291, 29530, 18, 365, 4542, 14160, 4322, 12860, 13749, 1423, 16789, 289, 18789, 5072, 48236, 539, 12735, 477, 23285, 18, 999, 2684, 564, 5683, 282, 48490, 9484, 16, 3387, 11969, 1743, 2397, 5507, 399, 478, 409, 4516, 315, 470, 510, 16044, 1257, 13089, 687, 22833, 15350, 2301, 31862, 18, 2949, 924, 16, 1551, 5930, 364, 13015, 1817, 9285, 2794, 20481, 334, 6619, 510, 282, 970, 2875, 34073, 16, 37491, 289, 28039, 3692, 10053, 819, 3583, 18, 7743, 4502, 4688, 282, 42719, 4666, 510, 17627, 5367, 13749, 16789, 16, 282, 2630, 281, 2184, 4126, 14366, 749, 5981, 20481, 18, 35157, 10053, 819, 3583, 1055, 322, 12026, 3003, 381, 29581, 4543, 31862, 18, 478, 4182, 34564, 309, 2038, 10566, 16, 664, 7871, 27861, 281, 7168, 424, 10336, 536, 289, 1142, 406, 281, 1498, 1247, 381, 29581, 4543, 910, 510, 7332, 8818, 1694, 23394, 12097, 8657, 10998, 295, 8053, 18, 459, 448, 3586, 16, 34688, 1101, 16, 492, 34991, 9473, 18, 10053, 819, 512, 685, 6401, 3250, 6677, 2236, 411, 18911, 1312, 17426, 18747, 16, 19128, 11088, 8993, 367, 18, 4016, 3750, 21694, 5545, 416, 12681, 1551, 13749, 505, 30143, 282, 1949, 10390, 17537, 1087, 511, 6328, 289, 43209, 294, 3405, 17912, 15978, 8302, 10342, 18, 365, 1500 ]
[ 575, 1119, 10566, 685, 10954, 286, 29777, 5120, 616, 552, 1101, 510, 32245, 6660, 33898, 14214, 2155, 478, 17007, 3346, 2331, 22016, 44452, 470, 5423, 332, 392, 4712, 274, 28499, 18, 5360, 7863, 2418, 986, 17703, 8124, 18, 3791, 1551, 23229, 8993, 272, 10556, 282, 9802, 10367, 4500, 18, 1671, 18, 289, 4336, 364, 505, 21291, 18, 4712, 274, 28499, 575, 42024, 414, 36089, 9469, 4500, 18, 1671, 18, 36222, 510, 3235, 924, 16, 505, 48272, 21291, 29530, 13587, 18, 7743, 10053, 819, 3583, 5019, 12784, 282, 42898, 8357, 16, 428, 289, 1743, 26123, 5120, 33686, 510, 40018, 28893, 40904, 928, 3340, 16, 2024, 43788, 24413, 430, 4238, 26155, 779, 43209, 294, 10096, 17912, 15978, 8302, 10342, 18, 16344, 13749, 1423, 16789, 289, 18789, 5072, 48236, 539, 12735, 290, 21992, 477, 23285, 18, 1303, 17627, 4851, 334, 6619, 290, 1087, 40676, 263, 898, 39895, 282, 11023, 4145, 779, 18, 30530, 11103, 4436, 773, 37976, 4821, 324, 16, 3387, 6034, 1101, 14872, 28999, 20362, 16, 367, 11675, 548, 6535, 424, 15028, 9340, 290, 10832, 2210, 8191, 3352, 18, 3557, 5547, 7475, 16, 43627, 282, 5792, 16, 7345, 1886, 294, 2222, 16, 374, 17627, 4851, 3012, 1166, 34658, 26205, 395, 8915, 16, 37170, 28999, 20362, 18, 824, 3352, 478, 25916, 267, 3150, 910, 8993, 13598, 40904, 928, 19137, 5689, 281, 13280, 290, 1322, 17537, 16780, 33043, 12526, 47992, 289, 6700, 35544, 4126, 2976, 1161, 2241, 2487, 7169, 1661, 1201, 16714, 365, 7371, 8544, 718, 289, 28154, 2477, 15803, 289, 18083, 1870, 3378, 10754, 355, 18, 365, 7371, 8544, 778, 282, 4479, 1045, 685, 4434, 286, 282, 3320, 1130, 40, 83, 55, 17, 766, 3588, 309, 8594, 14137, 6138, 9531, 1407, 16, 411, 17, 431, 1754, 21722, 478, 38654, 8366, 470, 1293, 2868, 322, 3005, 13501, 31104, 19092, 18, 985, 1629, 576, 10958, 16, 4712, 42480, 282, 4440, 1045, 7236, 5689, 16, 590, 19228, 28557, 271, 2509, 16, 2437, 18249, 24731, 510, 481, 4243, 567, 808, 13858, 9964, 334, 49299, 1991, 501, 22484, 282, 32164, 18, 38160, 1273, 37260, 3934, 576, 16, 374, 17627, 4851, 3005, 953, 14785, 318, 294, 5514, 395, 309, 21738, 276, 34493, 5855, 4623, 567, 808, 37965, 10144, 282, 2145, 13557, 4145, 779, 18, 985, 13737, 13156, 10195, 16, 5120, 28328, 1101, 8641, 5698, 326, 11875, 28154, 2477, 16, 961, 20146, 567, 23361, 1408, 21738, 291, 18, 33825, 1262, 20528, 477, 7755, 309, 13156, 33060, 16, 374, 10053, 819, 512, 289, 40904, 928, 523, 282, 4542, 15140, 12860, 25262, 1423, 16789, 30, 745, 23867, 16, 374, 3012, 1166, 8915, 9919, 536, 26205, 395, 16, 2686, 36680, 16, 374, 322, 6344, 1166, 22164, 2009, 9766, 27477, 18, 824, 3352, 7725, 1051, 10195, 16, 17627, 4851, 13737, 994, 21593, 16, 374, 26475, 8120, 448, 8915, 9919, 536, 26205, 395, 16, 753, 11203, 281, 49299, 7027, 298, 995, 1330, 334, 4547, 8290, 18, 478, 2176, 3927, 16, 2994, 6781, 35714, 5825, 2879, 906, 13581, 65, 13619, 1855, 1110, 49299, 7027, 298, 995, 1051, 16, 290, 17343, 1639, 745, 6745, 16, 515, 23658, 322, 6984, 3775, 374, 17, 299, 2048, 16, 453, 428, 518, 478, 404, 11157, 334, 1175, 910, 502, 912, 46287, 8150, 282, 1888, 7338, 910, 510, 9848, 7897, 16, 13877, 281, 21971, 15140, 18, 2, 1, 87, 1456, 81, 2448, 30, 24569, 10954, 10566, 31870, 453, 24941, 478, 6838, 700, 1180, 15319, 470, 510, 22128, 9251, 13770, 27014, 411, 37536, 11736, 16, 961, 3447, 39883, 37861, 13495, 1356, 282, 3948, 23769, 421, 17, 24, 478, 26181, 861, 20876, 262, 5120, 14100, 5684, 28147, 15367, 10286, 16, 764, 1176, 510, 1939, 986, 40945, 10342, 18, 4756, 18132, 1888, 26900, 9522, 898, 16147, 6025, 29550, 1082, 567, 808, 7242, 1941, 9868, 46801, 430, 4160, 7847, 779, 18, 2949, 924, 16, 13569, 7032, 34811, 16, 12699, 2339, 12848, 6551, 16, 5957, 2125, 641, 16064, 282, 27860, 10731, 18, 31224, 30, 780, 1259, 271, 24413, 282, 11946, 1257, 13089, 10566, 30019, 1116, 31870, 34811, 16, 961, 282, 4018, 17, 8157, 6206, 282, 25501, 25522, 421, 17, 24, 478, 26181, 470, 26158, 2364, 1949, 13289, 32126, 13495, 1356, 281, 20271, 5785, 5173, 18, 478, 24569, 5930, 364, 33000, 20506, 2266, 4681, 403, 5735, 48773, 16, 1236, 342, 344, 608, 1528, 297, 43983, 2169, 272, 1624, 608, 429, 344, 33879, 4083, 272, 1624, 768, 604, 1155, 292, 4681, 450, 314, 3345, 1970, 272, 13742, 282, 2100, 28147, 26589, 17703, 8124, 282, 15978, 12119, 10342, 225, 910, 510, 349, 31632, 44462, 266, 16044, 12975, 46886, 3340, 18, 2949, 924, 16, 999, 27756, 2266, 356, 6470, 379, 3536, 3619, 13742, 282, 2100, 1939, 986, 15978, 40945, 10342, 18, 6158, 12860, 14001, 2538, 1817, 22674, 1263, 291, 289, 15343, 11038, 281, 26900, 9522, 282, 4356, 18100, 973, 282, 2948, 23371, 43301, 16021, 30, 281, 403, 5735, 756, 510, 1156, 4500, 18, 1671, 20443, 281, 33879, 23427, 289, 450, 314, 3345, 22686, 510, 334, 6957, 4500, 18, 1671, 20443, 591, 33879, 23427, 282, 2948, 47099, 37215, 23082, 510, 45439, 4500, 18, 1671, 18, 2949, 924, 16, 281, 7032, 34811, 898, 22279, 318, 22485, 1924, 44086, 30, 281, 403, 5735, 756, 510, 816, 3161, 4500, 18, 1671, 2211, 281, 608, 1528, 297, 597, 9861, 401, 510, 816, 8976, 4500, 18, 13671, 1671, 2211, 281, 450, 314, 3345, 22686, 510, 816, 2692, 4500, 18, 1671, 2211, 281, 33879, 23427, 510, 9690, 26, 4500, 18, 1032, 3161, 1671, 2211, 6470, 37929, 401, 510, 4055, 27, 4500, 18, 1156, 1671, 18, 5333, 2175, 16, 1551, 1715, 3118, 7214, 281, 46977, 1087, 348, 2106, 427, 16, 2486, 4419, 2834, 6191, 541, 6566, 25711, 28147, 21008, 15045, 16, 367, 541, 6470, 37929, 401, 510, 2706, 986, 17703, 8124, 18, 1681, 24413, 11359, 898, 37048, 9353, 758, 282, 970, 16, 374, 10685, 281, 4778, 477, 23418, 3317, 16590, 9382, 6016, 516, 4154, 4934, 9404, 281, 5173, 26366, 17209, 16, 282, 970, 2875, 14719, 309, 2954, 18, 365, 5412, 12049, 42416, 16, 374, 475, 11009, 34811, 17556, 1251, 1807, 3836, 5472, 541, 26366, 17209, 18, 2949, 924, 16, 475, 745, 1794, 1866, 15368, 315, 6401, 5979, 5222, 272, 459, 12538, 554, 271, 435, 25647, 37456, 329, 473, 18047, 7808, 1011, 23196, 18956, 10299, 307, 7768, 371, 49102, 282, 30383, 282, 2801, 1045, 510, 478, 18386, 18, 8381, 12235, 6984, 18035, 42971, 16129, 16, 2173, 918, 1166, 3674, 50225, 553, 18, 478, 983, 41926, 1180, 15319, 470 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 575, 1119, 10566, 685, 10954, 286, 29777, 5120, 616, 552, 1101, 510, 32245, 6660, 33898, 14214, 2155, 478, 17007, 3346, 2331, 22016, 44452, 470, 5423, 332, 392, 4712, 274, 28499, 18, 5360, 7863, 2418, 986, 17703, 8124, 18, 3791, 1551, 23229, 8993, 272, 10556, 282, 9802, 10367, 4500, 18, 1671, 18, 289, 4336, 364, 505, 21291, 18, 4712, 274, 28499, 575, 42024, 414, 36089, 9469, 4500, 18, 1671, 18, 36222, 510, 3235, 924, 16, 505, 48272, 21291, 29530, 13587, 18, 7743, 10053, 819, 3583, 5019, 12784, 282, 42898, 8357, 16, 428, 289, 1743, 26123, 5120, 33686, 510, 40018, 28893, 40904, 928, 3340, 16, 2024, 43788, 24413, 430, 4238, 26155, 779, 43209, 294, 10096, 17912, 15978, 8302, 10342, 18, 16344, 13749, 1423, 16789, 289, 18789, 5072, 48236, 539, 12735, 290, 21992, 477, 23285, 18, 1303, 17627, 4851, 334, 6619, 290, 1087, 40676, 263, 898, 39895, 282, 11023, 4145, 779, 18, 30530, 11103, 4436, 773, 37976, 4821, 324, 16, 3387, 6034, 1101, 14872, 28999, 20362, 16, 367, 11675, 548, 6535, 424, 15028, 9340, 290, 10832, 2210, 8191, 3352, 18, 3557, 5547, 7475, 16, 43627, 282, 5792, 16, 7345, 1886, 294, 2222, 16, 374, 17627, 4851, 3012, 1166, 34658, 26205, 395, 8915, 16, 37170, 28999, 20362, 18, 824, 3352, 478, 25916, 267, 3150, 910, 8993, 13598, 40904, 928, 19137, 5689, 281, 13280, 290, 1322, 17537, 16780, 33043, 12526, 47992, 289, 6700, 35544, 4126, 2976, 1161, 2241, 2487, 7169, 1661, 1201, 16714, 365, 7371, 8544, 718, 289, 28154, 2477, 15803, 289, 18083, 1870, 3378, 10754, 355, 18, 365, 7371, 8544, 778, 282, 4479, 1045, 685, 4434, 286, 282, 3320, 1130, 40, 83, 55, 17, 766, 3588, 309, 8594, 14137, 6138, 9531, 1407, 16, 411, 17, 431, 1754, 21722, 478, 38654, 8366, 470, 1293, 2868, 322, 3005, 13501, 31104, 19092, 18, 985, 1629, 576, 10958, 16, 4712, 42480, 282, 4440, 1045, 7236, 5689, 16, 590, 19228, 28557, 271, 2509, 16, 2437, 18249, 24731, 510, 481, 4243, 567, 808, 13858, 9964, 334, 49299, 1991, 501, 22484, 282, 32164, 18, 38160, 1273, 37260, 3934, 576, 16, 374, 17627, 4851, 3005, 953, 14785, 318, 294, 5514, 395, 309, 21738, 276, 34493, 5855, 4623, 567, 808, 37965, 10144, 282, 2145, 13557, 4145, 779, 18, 985, 13737, 13156, 10195, 16, 5120, 28328, 1101, 8641, 5698, 326, 11875, 28154, 2477, 16, 961, 20146, 567, 23361, 1408, 21738, 291, 18, 33825, 1262, 20528, 477, 7755, 309, 13156, 33060, 16, 374, 10053, 819, 512, 289, 40904, 928, 523, 282, 4542, 15140, 12860, 25262, 1423, 16789, 30, 745, 23867, 16, 374, 3012, 1166, 8915, 9919, 536, 26205, 395, 16, 2686, 36680, 16, 374, 322, 6344, 1166, 22164, 2009, 9766, 27477, 18, 824, 3352, 7725, 1051, 10195, 16, 17627, 4851, 13737, 994, 21593, 16, 374, 26475, 8120, 448, 8915, 9919, 536, 26205, 395, 16, 753, 11203, 281, 49299, 7027, 298, 995, 1330, 334, 4547, 8290, 18, 478, 2176, 3927, 16, 2994, 6781, 35714, 5825, 2879, 906, 13581, 65, 13619, 1855, 1110, 49299, 7027, 298, 995, 1051, 16, 290, 17343, 1639, 745, 6745, 16, 515, 23658, 322, 6984, 3775, 374, 17, 299, 2048, 16, 453, 428, 518, 478, 404, 11157, 334, 1175, 910, 502, 912, 46287, 8150, 282, 1888, 7338, 910, 510, 9848, 7897, 16, 13877, 281, 21971, 15140, 18, 2, 1, 87, 1456, 81, 2448, 30, 24569, 10954, 10566, 31870, 453, 24941, 478, 6838, 700, 1180, 15319, 470, 510, 22128, 9251, 13770, 27014, 411, 37536, 11736, 16, 961, 3447, 39883, 37861, 13495, 1356, 282, 3948, 23769, 421, 17, 24, 478, 26181, 861, 20876, 262, 5120, 14100, 5684, 28147, 15367, 10286, 16, 764, 1176, 510, 1939, 986, 40945, 10342, 18, 4756, 18132, 1888, 26900, 9522, 898, 16147, 6025, 29550, 1082, 567, 808, 7242, 1941, 9868, 46801, 430, 4160, 7847, 779, 18, 2949, 924, 16, 13569, 7032, 34811, 16, 12699, 2339, 12848, 6551, 16, 5957, 2125, 641, 16064, 282, 27860, 10731, 18, 31224, 30, 780, 1259, 271, 24413, 282, 11946, 1257, 13089, 10566, 30019, 1116, 31870, 34811, 16, 961, 282, 4018, 17, 8157, 6206, 282, 25501, 25522, 421, 17, 24, 478, 26181, 470, 26158, 2364, 1949, 13289, 32126, 13495, 1356, 281, 20271, 5785, 5173, 18, 478, 24569, 5930, 364, 33000, 20506, 2266, 4681, 403, 5735, 48773, 16, 1236, 342, 344, 608, 1528, 297, 43983, 2169, 272, 1624, 608, 429, 344, 33879, 4083, 272, 1624, 768, 604, 1155, 292, 4681, 450, 314, 3345, 1970, 272, 13742, 282, 2100, 28147, 26589, 17703, 8124, 282, 15978, 12119, 10342, 225, 910, 510, 349, 31632, 44462, 266, 16044, 12975, 46886, 3340, 18, 2949, 924, 16, 999, 27756, 2266, 356, 6470, 379, 3536, 3619, 13742, 282, 2100, 1939, 986, 15978, 40945, 10342, 18, 6158, 12860, 14001, 2538, 1817, 22674, 1263, 291, 289, 15343, 11038, 281, 26900, 9522, 282, 4356, 18100, 973, 282, 2948, 23371, 43301, 16021, 30, 281, 403, 5735, 756, 510, 1156, 4500, 18, 1671, 20443, 281, 33879, 23427, 289, 450, 314, 3345, 22686, 510, 334, 6957, 4500, 18, 1671, 20443, 591, 33879, 23427, 282, 2948, 47099, 37215, 23082, 510, 45439, 4500, 18, 1671, 18, 2949, 924, 16, 281, 7032, 34811, 898, 22279, 318, 22485, 1924, 44086, 30, 281, 403, 5735, 756, 510, 816, 3161, 4500, 18, 1671, 2211, 281, 608, 1528, 297, 597, 9861, 401, 510, 816, 8976, 4500, 18, 13671, 1671, 2211, 281, 450, 314, 3345, 22686, 510, 816, 2692, 4500, 18, 1671, 2211, 281, 33879, 23427, 510, 9690, 26, 4500, 18, 1032, 3161, 1671, 2211, 6470, 37929, 401, 510, 4055, 27, 4500, 18, 1156, 1671, 18, 5333, 2175, 16, 1551, 1715, 3118, 7214, 281, 46977, 1087, 348, 2106, 427, 16, 2486, 4419, 2834, 6191, 541, 6566, 25711, 28147, 21008, 15045, 16, 367, 541, 6470, 37929, 401, 510, 2706, 986, 17703, 8124, 18, 1681, 24413, 11359, 898, 37048, 9353, 758, 282, 970, 16, 374, 10685, 281, 4778, 477, 23418, 3317, 16590, 9382, 6016, 516, 4154, 4934, 9404, 281, 5173, 26366, 17209, 16, 282, 970, 2875, 14719, 309, 2954, 18, 365, 5412, 12049, 42416, 16, 374, 475, 11009, 34811, 17556, 1251, 1807, 3836, 5472, 541, 26366, 17209, 18, 2949, 924, 16, 475, 745, 1794, 1866, 15368, 315, 6401, 5979, 5222, 272, 459, 12538, 554, 271, 435, 25647, 37456, 329, 473, 18047, 7808, 1011, 23196, 18956, 10299, 307, 7768, 371, 49102, 282, 30383, 282, 2801, 1045, 510, 478, 18386, 18, 8381, 12235, 6984, 18035, 42971, 16129, 16, 2173, 918, 1166, 3674, 50225, 553, 18, 478, 983, 41926, 1180, 15319, 470 ]
[ 9251, 10145, 15858, 5740, 22062, 334, 40637, 281, 30782, 31433, 22232, 21182, 1273, 4268, 21572, 83, 473, 43, 15319, 814, 4802, 2118, 5273, 16, 374, 282, 3280, 668, 9404, 22907, 322, 2619, 1760, 2019, 1275, 411, 37536, 11736, 18, 403, 18254, 2742, 24807, 8165, 309, 11796, 1919, 26900, 9522, 8926, 10384, 1135, 16, 2686, 282, 11872, 7847, 779, 32074, 411, 1129, 26010, 309, 41875, 282, 15347, 5129, 16, 41273, 282, 48576, 5472, 329, 14218, 1587, 697, 568, 33966, 483, 18, 365, 3198, 2337, 2061, 9314, 32887, 382, 23235, 597, 2306, 14543, 1117, 283, 1970, 1624, 9746, 27877, 1083, 2221, 9746, 10320, 669, 312, 3899, 289, 768, 23610, 25647, 37456, 898, 28717, 309, 2468, 18, 727, 604, 1123, 1428, 33879, 4083, 16342, 282, 14154, 6396, 1871, 5576, 1011, 32887, 382, 18, 450, 314, 3345, 1970, 1038, 685, 8959, 16, 515, 39435, 289, 282, 11946, 41300, 10566, 18, 2949, 924, 16, 1949, 7032, 17567, 18137, 282, 27860, 10731, 16, 2319, 745, 10469, 27948, 1011, 37728, 424, 388, 1051, 18, 365, 10264, 808, 697, 16379, 14044, 309, 22993, 16, 289, 46899, 11285, 9733, 20676, 9919, 536, 41158, 9980, 6034, 14132, 1101, 18, 22025, 617, 764, 1949, 6367, 34811, 17626, 16, 515, 32042, 697, 1055, 322, 3225, 18, 985, 1958, 857, 13391, 16, 282, 11500, 4018, 779, 459, 12538, 554, 271, 435, 25647, 37456, 473, 406, 310, 21978, 2451, 16364, 309, 3499, 27977, 1496, 401, 13, 13504, 309, 2923, 10143, 1767, 9382, 6016, 516, 4154, 4934, 1934, 554, 18, 24195, 34811, 282, 5344, 46287, 14719, 309, 21089, 44247, 15744, 16, 30974, 4890, 282, 20767, 476, 329, 5520, 16, 371, 803, 309, 1783, 9760, 387, 2561, 17226, 1781, 1923, 16, 7581, 1639, 5842, 475, 808, 5069, 2373, 862, 18, 2112, 924, 16, 428, 1196, 743, 37614, 16, 5554, 46431, 16, 477, 23418, 1157, 10271, 326, 1166, 505, 16979, 289, 11462, 16, 2512, 1684, 39736, 5616, 539, 10772, 282, 9643, 29769, 560, 18, 967, 803, 745, 322, 45689, 22902, 9972, 289, 24208, 281, 1801, 43211, 935, 4465, 12343, 473, 2592, 9944, 16, 21405, 17474, 18453, 814, 5333, 2175, 16, 23285, 6497, 4903, 451, 22586, 6641, 891, 510, 20271, 9270, 18, 7758, 309, 2923, 4534, 16, 10143, 289, 47253, 18228, 11009, 34811, 26158, 2261, 6641, 891, 16, 282, 4542, 1639, 2123, 1135, 898, 28717, 16, 367, 764, 2852, 5684, 17706, 16, 515, 8748, 326, 18, 365, 29103, 6160, 15543, 15390, 432, 6641, 891, 2928, 17801, 46106, 11949, 4869, 289, 5263, 1134, 18, 5792, 4732, 7695, 290, 16861, 263, 35993, 32126, 282, 25501, 10208, 282, 8151, 2801, 779, 18, 24846, 2904, 294, 1335, 8540, 47358, 16, 3888, 34144, 16, 282, 4810, 30918, 15146, 1050, 1509, 18, 1572, 22605, 478, 4529, 420, 700, 283, 470, 403, 2029, 16821, 16, 935, 44561, 3286, 5331, 16, 515, 5773, 11893, 448, 34905, 4315, 700, 334, 19873, 957, 282, 11976, 11448, 2794, 33724, 18, 365, 6031, 6863, 309, 994, 34811, 289, 45408, 1086, 722, 3225, 1472, 294, 9747, 779, 18, 365, 3765, 309, 1286, 4120, 2801, 779, 722, 11009, 898, 28384, 282, 4095, 12937, 41182, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 3849, 2236, 411, 10235, 26649, 478, 11108, 669, 5752, 910, 15465, 478, 1098, 13230, 10435, 470, 11088, 19582, 433, 14954, 16, 18966, 11969, 1743, 18, 39209, 1551, 282, 25202, 2557, 2780, 8357, 334, 7705, 478, 293, 17617, 265, 910, 41083, 13742, 334, 1754, 510, 1272, 779, 16886, 18, 31224, 30, 2176, 8011, 11738, 290, 6759, 464, 8448, 4669, 8296, 478, 11108, 301, 5752, 910, 961, 2125, 3227, 20009, 5475, 282, 9937, 16, 2438, 3665, 290, 43279, 14132, 1101, 1279, 2236, 411, 13764, 322, 35515, 416, 17344, 11088, 19582, 433, 14954, 18, 985, 3828, 478, 46088, 18, 8381, 470, 583, 19582, 433, 2279, 16, 1743, 18966, 7705, 44781, 11828, 473, 293, 17617, 265, 13, 25202, 1703, 37819, 18900, 18, 8281, 24977, 541, 1101, 2438, 8348, 8306, 10226, 2510, 628, 8544, 718, 4202, 478, 21695, 525, 9948, 4879, 470, 21267, 17831, 465, 6589, 16, 1586, 12698, 16, 374, 8448, 13184, 411, 5442, 722, 567, 808, 8296, 1279, 11769, 478, 296, 14850, 9808, 26942, 424, 25202, 1212, 3695, 4238, 18, 17831, 465, 3340, 10761, 294, 19582, 433, 2279, 272, 289, 16, 26850, 1752, 4552, 2922, 16, 2756, 23430, 975, 6911, 3586, 290, 505, 8448, 4669, 3416, 18, 365, 1851, 17, 299, 2083, 19582, 433, 2279, 272, 1381, 538, 3586, 8306, 10226, 16, 289, 492, 9473, 309, 1129, 11558, 18, 2112, 978, 16, 334, 7475, 17831, 465, 6589, 16, 23024, 722, 411, 5442, 309, 4837, 329, 8214, 7919, 22162, 289, 6367, 46281, 18, 365, 26396, 8306, 11287, 15762, 1154, 5626, 309, 30195, 16, 515, 3670, 16, 898, 520, 1450, 7730, 1007, 2710, 17, 3697, 15809, 289, 4284, 1738, 520, 1450, 19582, 433, 2279, 2838, 1851, 17, 299, 6377, 16, 4385, 282, 10209, 18, 365, 4056, 2095, 5703, 343, 4750, 16, 374, 19582, 433, 2279, 25349, 360, 15841, 16, 1011, 1660, 27341, 20489, 22835, 16, 10346, 8405, 349, 1615, 20505, 16, 367, 2734, 5747, 45709, 20822, 45726, 18, 13268, 1011, 26369, 19582, 433, 2279, 685, 20817, 31775, 16, 515, 5957, 4155, 2365, 519, 30891, 282, 1551, 18, 14078, 17831, 465, 3340, 12698, 16, 374, 329, 1710, 14265, 11095, 4110, 33718, 468, 9790, 18, 2263, 23024, 5273, 49405, 26841, 15734, 2206, 289, 12698, 16, 374, 1745, 406, 2175, 322, 757, 17794, 9016, 18, 817, 935, 13875, 1324, 3589, 8348, 290, 478, 1163, 547, 29544, 409, 910, 515, 282, 43279, 1101, 975, 639, 6309, 315, 18, 3557, 322, 2619, 6571, 1551, 6438, 718, 3700, 25202, 820, 282, 9937, 7214, 5292, 16064, 1743, 1279, 2887, 19582, 433, 14954, 334, 7705, 16, 334, 1754, 282, 4487, 4357, 22515, 16684, 1272, 779, 17703, 8124, 18, 38659, 11268, 5014, 2292, 354, 4059, 3340, 2323, 478, 46088, 18, 8381, 910, 374, 16220, 19582, 433, 14954, 20546, 4416, 290, 10659, 263, 6612, 883, 282, 7522, 16, 453, 428, 1122, 27589, 289, 583, 17627, 5367, 16, 289, 5906, 22162, 6198, 18, 365, 803, 975, 639, 6309, 315, 18, 478, 24569, 2055, 271, 709, 309, 502, 16, 374, 1576, 22903, 7956, 17831, 465, 3340, 31806, 282, 803, 3580, 16, 367, 1038, 1336, 575, 37806, 41197, 14267, 18, 967, 803, 1551, 322, 2363, 281, 17831, 465, 6589, 4302, 20481, 924, 16, 374, 678, 1623, 17053, 761, 16, 3352, 290, 3752, 7315, 289, 697, 2468, 25364, 282, 33841, 1101, 1055, 374, 656, 1320, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9251, 10145, 15858, 5740, 22062, 334, 40637, 281, 30782, 31433, 22232, 21182, 1273, 4268, 21572, 83, 473, 43, 15319, 814, 4802, 2118, 5273, 16, 374, 282, 3280, 668, 9404, 22907, 322, 2619, 1760, 2019, 1275, 411, 37536, 11736, 18, 403, 18254, 2742, 24807, 8165, 309, 11796, 1919, 26900, 9522, 8926, 10384, 1135, 16, 2686, 282, 11872, 7847, 779, 32074, 411, 1129, 26010, 309, 41875, 282, 15347, 5129, 16, 41273, 282, 48576, 5472, 329, 14218, 1587, 697, 568, 33966, 483, 18, 365, 3198, 2337, 2061, 9314, 32887, 382, 23235, 597, 2306, 14543, 1117, 283, 1970, 1624, 9746, 27877, 1083, 2221, 9746, 10320, 669, 312, 3899, 289, 768, 23610, 25647, 37456, 898, 28717, 309, 2468, 18, 727, 604, 1123, 1428, 33879, 4083, 16342, 282, 14154, 6396, 1871, 5576, 1011, 32887, 382, 18, 450, 314, 3345, 1970, 1038, 685, 8959, 16, 515, 39435, 289, 282, 11946, 41300, 10566, 18, 2949, 924, 16, 1949, 7032, 17567, 18137, 282, 27860, 10731, 16, 2319, 745, 10469, 27948, 1011, 37728, 424, 388, 1051, 18, 365, 10264, 808, 697, 16379, 14044, 309, 22993, 16, 289, 46899, 11285, 9733, 20676, 9919, 536, 41158, 9980, 6034, 14132, 1101, 18, 22025, 617, 764, 1949, 6367, 34811, 17626, 16, 515, 32042, 697, 1055, 322, 3225, 18, 985, 1958, 857, 13391, 16, 282, 11500, 4018, 779, 459, 12538, 554, 271, 435, 25647, 37456, 473, 406, 310, 21978, 2451, 16364, 309, 3499, 27977, 1496, 401, 13, 13504, 309, 2923, 10143, 1767, 9382, 6016, 516, 4154, 4934, 1934, 554, 18, 24195, 34811, 282, 5344, 46287, 14719, 309, 21089, 44247, 15744, 16, 30974, 4890, 282, 20767, 476, 329, 5520, 16, 371, 803, 309, 1783, 9760, 387, 2561, 17226, 1781, 1923, 16, 7581, 1639, 5842, 475, 808, 5069, 2373, 862, 18, 2112, 924, 16, 428, 1196, 743, 37614, 16, 5554, 46431, 16, 477, 23418, 1157, 10271, 326, 1166, 505, 16979, 289, 11462, 16, 2512, 1684, 39736, 5616, 539, 10772, 282, 9643, 29769, 560, 18, 967, 803, 745, 322, 45689, 22902, 9972, 289, 24208, 281, 1801, 43211, 935, 4465, 12343, 473, 2592, 9944, 16, 21405, 17474, 18453, 814, 5333, 2175, 16, 23285, 6497, 4903, 451, 22586, 6641, 891, 510, 20271, 9270, 18, 7758, 309, 2923, 4534, 16, 10143, 289, 47253, 18228, 11009, 34811, 26158, 2261, 6641, 891, 16, 282, 4542, 1639, 2123, 1135, 898, 28717, 16, 367, 764, 2852, 5684, 17706, 16, 515, 8748, 326, 18, 365, 29103, 6160, 15543, 15390, 432, 6641, 891, 2928, 17801, 46106, 11949, 4869, 289, 5263, 1134, 18, 5792, 4732, 7695, 290, 16861, 263, 35993, 32126, 282, 25501, 10208, 282, 8151, 2801, 779, 18, 24846, 2904, 294, 1335, 8540, 47358, 16, 3888, 34144, 16, 282, 4810, 30918, 15146, 1050, 1509, 18, 1572, 22605, 478, 4529, 420, 700, 283, 470, 403, 2029, 16821, 16, 935, 44561, 3286, 5331, 16, 515, 5773, 11893, 448, 34905, 4315, 700, 334, 19873, 957, 282, 11976, 11448, 2794, 33724, 18, 365, 6031, 6863, 309, 994, 34811, 289, 45408, 1086, 722, 3225, 1472, 294, 9747, 779, 18, 365, 3765, 309, 1286, 4120, 2801, 779, 722, 11009, 898, 28384, 282, 4095, 12937, 41182, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 3849, 2236, 411, 10235, 26649, 478, 11108, 669, 5752, 910, 15465, 478, 1098, 13230, 10435, 470, 11088, 19582, 433, 14954, 16, 18966, 11969, 1743, 18, 39209, 1551, 282, 25202, 2557, 2780, 8357, 334, 7705, 478, 293, 17617, 265, 910, 41083, 13742, 334, 1754, 510, 1272, 779, 16886, 18, 31224, 30, 2176, 8011, 11738, 290, 6759, 464, 8448, 4669, 8296, 478, 11108, 301, 5752, 910, 961, 2125, 3227, 20009, 5475, 282, 9937, 16, 2438, 3665, 290, 43279, 14132, 1101, 1279, 2236, 411, 13764, 322, 35515, 416, 17344, 11088, 19582, 433, 14954, 18, 985, 3828, 478, 46088, 18, 8381, 470, 583, 19582, 433, 2279, 16, 1743, 18966, 7705, 44781, 11828, 473, 293, 17617, 265, 13, 25202, 1703, 37819, 18900, 18, 8281, 24977, 541, 1101, 2438, 8348, 8306, 10226, 2510, 628, 8544, 718, 4202, 478, 21695, 525, 9948, 4879, 470, 21267, 17831, 465, 6589, 16, 1586, 12698, 16, 374, 8448, 13184, 411, 5442, 722, 567, 808, 8296, 1279, 11769, 478, 296, 14850, 9808, 26942, 424, 25202, 1212, 3695, 4238, 18, 17831, 465, 3340, 10761, 294, 19582, 433, 2279, 272, 289, 16, 26850, 1752, 4552, 2922, 16, 2756, 23430, 975, 6911, 3586, 290, 505, 8448, 4669, 3416, 18, 365, 1851, 17, 299, 2083, 19582, 433, 2279, 272, 1381, 538, 3586, 8306, 10226, 16, 289, 492, 9473, 309, 1129, 11558, 18, 2112, 978, 16, 334, 7475, 17831, 465, 6589, 16, 23024, 722, 411, 5442, 309, 4837, 329, 8214, 7919, 22162, 289, 6367, 46281, 18, 365, 26396, 8306, 11287, 15762, 1154, 5626, 309, 30195, 16, 515, 3670, 16, 898, 520, 1450, 7730, 1007, 2710, 17, 3697, 15809, 289, 4284, 1738, 520, 1450, 19582, 433, 2279, 2838, 1851, 17, 299, 6377, 16, 4385, 282, 10209, 18, 365, 4056, 2095, 5703, 343, 4750, 16, 374, 19582, 433, 2279, 25349, 360, 15841, 16, 1011, 1660, 27341, 20489, 22835, 16, 10346, 8405, 349, 1615, 20505, 16, 367, 2734, 5747, 45709, 20822, 45726, 18, 13268, 1011, 26369, 19582, 433, 2279, 685, 20817, 31775, 16, 515, 5957, 4155, 2365, 519, 30891, 282, 1551, 18, 14078, 17831, 465, 3340, 12698, 16, 374, 329, 1710, 14265, 11095, 4110, 33718, 468, 9790, 18, 2263, 23024, 5273, 49405, 26841, 15734, 2206, 289, 12698, 16, 374, 1745, 406, 2175, 322, 757, 17794, 9016, 18, 817, 935, 13875, 1324, 3589, 8348, 290, 478, 1163, 547, 29544, 409, 910, 515, 282, 43279, 1101, 975, 639, 6309, 315, 18, 3557, 322, 2619, 6571, 1551, 6438, 718, 3700, 25202, 820, 282, 9937, 7214, 5292, 16064, 1743, 1279, 2887, 19582, 433, 14954, 334, 7705, 16, 334, 1754, 282, 4487, 4357, 22515, 16684, 1272, 779, 17703, 8124, 18, 38659, 11268, 5014, 2292, 354, 4059, 3340, 2323, 478, 46088, 18, 8381, 910, 374, 16220, 19582, 433, 14954, 20546, 4416, 290, 10659, 263, 6612, 883, 282, 7522, 16, 453, 428, 1122, 27589, 289, 583, 17627, 5367, 16, 289, 5906, 22162, 6198, 18, 365, 803, 975, 639, 6309, 315, 18, 478, 24569, 2055, 271, 709, 309, 502, 16, 374, 1576, 22903, 7956, 17831, 465, 3340, 31806, 282, 803, 3580, 16, 367, 1038, 1336, 575, 37806, 41197, 14267, 18, 967, 803, 1551, 322, 2363, 281, 17831, 465, 6589, 4302, 20481, 924, 16, 374, 678, 1623, 17053, 761, 16, 3352, 290, 3752, 7315, 289, 697, 2468, 25364, 282, 33841, 1101, 1055, 374, 656, 1320, 322 ]
[ 6418, 16, 510, 2548, 4059, 3340, 18, 510, 824, 2759, 3352, 16, 17831, 465, 3340, 17053, 761, 322, 1623, 289, 906, 360, 3415, 798, 16, 396, 1167, 1752, 1421, 779, 309, 5572, 11069, 289, 453, 289, 322, 12699, 275, 505, 19917, 861, 365, 4542, 13516, 5129, 16044, 24683, 329, 11958, 873, 16, 322, 26579, 520, 678, 18091, 11858, 281, 1078, 9364, 16, 515, 17831, 465, 3340, 5438, 47607, 18, 824, 4734, 2985, 2203, 19582, 433, 14954, 16, 21539, 20481, 1279, 11268, 1003, 16, 367, 3518, 6301, 5626, 2003, 10173, 309, 42637, 18, 824, 722, 3163, 16, 1176, 411, 25215, 9577, 2516, 2259, 2048, 1055, 280, 23079, 8825, 5703, 343, 18, 4802, 6301, 14668, 5129, 43569, 309, 1061, 3598, 16, 11112, 349, 8729, 519, 478, 11108, 669, 5752, 861, 5333, 2175, 16, 19582, 433, 2279, 895, 322, 8662, 309, 8448, 12832, 26314, 16, 827, 282, 505, 4459, 840, 7239, 4010, 17, 3697, 22485, 2837, 3003, 18, 4059, 3340, 23751, 16, 374, 282, 1750, 16, 827, 1551, 322, 19566, 282, 2463, 20481, 18051, 8306, 419, 16, 1743, 1698, 5292, 16064, 726, 1279, 3453, 17831, 465, 6589, 18, 2, 1, 87, 1456, 81, 2448, 30, 1182, 3201, 969, 866, 3632, 23935, 46043, 16, 35005, 281, 47927, 19791, 24206, 16, 895, 5529, 16537, 416, 29004, 14553, 20763, 3767, 349, 4843, 23, 3940, 3763, 18, 403, 9199, 1505, 478, 612, 1520, 382, 830, 375, 292, 17055, 289, 5843, 523, 470, 3424, 14929, 467, 19187, 18, 889, 4040, 16865, 22304, 9513, 979, 11131, 349, 4722, 5004, 18, 19791, 1496, 289, 2915, 840, 35718, 309, 40157, 349, 17784, 16, 4266, 13156, 18, 31224, 30, 1182, 3201, 969, 866, 3632, 23935, 46043, 41654, 895, 10850, 16537, 668, 1664, 454, 14553, 20763, 3767, 16, 6442, 38341, 289, 1273, 44132, 16303, 18, 3863, 13588, 2587, 280, 282, 6982, 1045, 34806, 8851, 6548, 29846, 6187, 478, 13945, 2503, 17, 24634, 470, 1761, 403, 324, 1318, 18, 3397, 492, 8624, 7067, 289, 6548, 29846, 6187, 969, 866, 3632, 23935, 46043, 41654, 16, 35585, 4843, 26, 5096, 18, 4824, 411, 7934, 23271, 11131, 510, 48891, 33498, 478, 13945, 2503, 17, 14776, 293, 470, 6070, 19791, 1496, 1624, 1038, 2496, 22912, 23271, 19457, 15690, 289, 6096, 25280, 5881, 18, 23932, 14553, 20763, 3767, 9914, 28573, 32473, 478, 54, 18, 20510, 1095, 75, 87, 5436, 10710, 910, 13135, 589, 4028, 722, 329, 47992, 16, 17506, 12074, 10082, 6041, 2101, 2274, 507, 282, 11847, 1045, 18, 403, 9199, 1505, 26971, 16, 12023, 7094, 277, 3588, 309, 19867, 13770, 281, 6253, 13084, 422, 5925, 656, 9340, 289, 45109, 537, 12411, 334, 3968, 552, 16, 7134, 1011, 7409, 6571, 2793, 428, 11811, 4489, 16160, 416, 8312, 22538, 18, 4663, 4198, 7124, 24353, 510, 39998, 28683, 342, 510, 5186, 332, 773, 19187, 2496, 920, 7450, 1970, 289, 17390, 16, 515, 2805, 14383, 14553, 20763, 3767, 2458, 282, 11238, 17, 263, 3142, 428, 26971, 830, 375, 292, 17055, 289, 5843, 523, 18, 365, 5975, 808, 6956, 5000, 24618, 267, 47676, 281, 6049, 4697, 43326, 18, 365, 3998, 4018, 779, 16537, 416, 29004, 685, 5168, 637, 309, 16790, 18, 34335, 5000, 24618, 267, 309, 10501, 6153, 5862, 7065, 1075, 5509, 49979, 4321, 541, 14141, 17605, 18, 365, 5975, 808, 294, 14553, 20763, 3767, 16, 4473, 312, 4028, 21801, 32132, 289, 17505, 2025, 353, 16, 16151, 19187, 18, 23932, 18649, 282, 4440, 1045, 473, 19050, 3990, 4018, 779, 294, 1664, 552, 4440, 779, 13, 4843, 7751, 16, 25, 3763, 473, 131, 101, 5759, 3763, 13, 8649, 9811, 18, 16375, 675, 20322, 282, 2145, 16, 32164, 16, 5670, 16, 19992, 16, 33632, 1484, 289, 37971, 864, 298, 18, 31186, 5000, 24618, 1013, 47736, 3604, 349, 14553, 20763, 3767, 2364, 4843, 2692, 28, 3763, 473, 131, 101, 34238, 3763, 814, 740, 2354, 4167, 453, 1635, 16, 374, 7072, 13394, 510, 10575, 969, 866, 3632, 23935, 2259, 18692, 4843, 23, 3940, 3763, 473, 131, 101, 4003, 3763, 814, 3791, 309, 1664, 454, 6795, 35412, 21487, 10575, 8083, 20938, 969, 8713, 1072, 289, 33256, 6153, 5862, 23759, 1509, 13070, 48830, 18, 15779, 549, 37856, 14553, 20763, 3767, 510, 481, 726, 10546, 14535, 349, 5284, 290, 27177, 9513, 763, 11131, 969, 866, 3632, 23935, 46043, 18, 365, 19953, 12241, 639, 29128, 290, 970, 16, 374, 10575, 13536, 19791, 5687, 2957, 3389, 1595, 11446, 11400, 282, 7813, 1212, 20172, 3330, 77, 39, 2646, 561, 281, 430, 16, 10257, 9, 519, 1061, 7418, 3429, 16865, 40692, 1069, 47784, 8709, 473, 872, 2451, 510, 10575, 776, 1913, 559, 411, 28223, 17, 4529, 818, 23414, 1286, 16, 25, 21956, 1061, 9, 11400, 8709, 16, 18866, 1081, 349, 4101, 1421, 5196, 3425, 33028, 8990, 16, 4609, 3236, 282, 39271, 3763, 7307, 47568, 29, 6654, 3763, 814, 4922, 36273, 20452, 1248, 969, 866, 3632, 23935, 41057, 48240, 2058, 22003, 2929, 1149, 2383, 473, 10763, 3576, 4843, 21, 5096, 934, 29704, 282, 12838, 4440, 779, 16, 14340, 13588, 4520, 2024, 1038, 1623, 19791, 1496, 19791, 1496, 16, 309, 13519, 11056, 10211, 5612, 1779, 3059, 6677, 457, 13628, 17, 677, 730, 478, 1369, 24939, 12150, 910, 475, 1143, 840, 5009, 4138, 40157, 282, 1175, 289, 8581, 1519, 697, 309, 4244, 451, 8275, 16, 5273, 7897, 10015, 21408, 1624, 3542, 3055, 5977, 19791, 5687, 10419, 360, 22546, 3416, 281, 365, 730, 289, 16790, 11400, 478, 47067, 15921, 470, 349, 4843, 25, 5096, 18, 478, 21393, 6584, 18372, 19589, 2576, 376, 697, 14639, 22145, 16, 515, 912, 764, 1033, 6584, 16, 518, 16, 961, 29372, 670, 11416, 925, 374, 294, 5414, 16, 510, 2548, 25545, 4651, 7897, 282, 4211, 17, 25569, 5868, 18, 510, 832, 3684, 16, 374, 1248, 1533, 986, 282, 1175, 8633, 1085, 17, 1796, 21614, 19791, 22875, 861, 2, 1, 87, 1456, 81, 2448, 30, 43139, 23691, 541, 16838, 3750, 13535, 309, 5066, 1224, 27, 723, 2884, 28, 131, 123, 385, 282, 11147, 678, 24553, 309, 2581, 1165, 282, 1272, 4570, 4803, 16, 367, 971, 1803, 303, 540, 305, 7081, 18, 18411, 1821, 5552, 34691, 1070, 309, 27766, 840, 14218, 506, 8889, 19775, 304, 289, 1322, 30848, 18, 31224, 30, 672, 3345, 303, 540, 564, 282, 3507, 16, 9725, 14960, 282, 10882, 16, 840, 21729, 289, 2518, 5966, 16, 6442, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 861, 889, 9245, 281, 2069, 8498, 45052, 6507, 7097, 282, 694, 28146, 2095, 18457, 15969, 478, 10430, 303, 562, 910, 1029 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6418, 16, 510, 2548, 4059, 3340, 18, 510, 824, 2759, 3352, 16, 17831, 465, 3340, 17053, 761, 322, 1623, 289, 906, 360, 3415, 798, 16, 396, 1167, 1752, 1421, 779, 309, 5572, 11069, 289, 453, 289, 322, 12699, 275, 505, 19917, 861, 365, 4542, 13516, 5129, 16044, 24683, 329, 11958, 873, 16, 322, 26579, 520, 678, 18091, 11858, 281, 1078, 9364, 16, 515, 17831, 465, 3340, 5438, 47607, 18, 824, 4734, 2985, 2203, 19582, 433, 14954, 16, 21539, 20481, 1279, 11268, 1003, 16, 367, 3518, 6301, 5626, 2003, 10173, 309, 42637, 18, 824, 722, 3163, 16, 1176, 411, 25215, 9577, 2516, 2259, 2048, 1055, 280, 23079, 8825, 5703, 343, 18, 4802, 6301, 14668, 5129, 43569, 309, 1061, 3598, 16, 11112, 349, 8729, 519, 478, 11108, 669, 5752, 861, 5333, 2175, 16, 19582, 433, 2279, 895, 322, 8662, 309, 8448, 12832, 26314, 16, 827, 282, 505, 4459, 840, 7239, 4010, 17, 3697, 22485, 2837, 3003, 18, 4059, 3340, 23751, 16, 374, 282, 1750, 16, 827, 1551, 322, 19566, 282, 2463, 20481, 18051, 8306, 419, 16, 1743, 1698, 5292, 16064, 726, 1279, 3453, 17831, 465, 6589, 18, 2, 1, 87, 1456, 81, 2448, 30, 1182, 3201, 969, 866, 3632, 23935, 46043, 16, 35005, 281, 47927, 19791, 24206, 16, 895, 5529, 16537, 416, 29004, 14553, 20763, 3767, 349, 4843, 23, 3940, 3763, 18, 403, 9199, 1505, 478, 612, 1520, 382, 830, 375, 292, 17055, 289, 5843, 523, 470, 3424, 14929, 467, 19187, 18, 889, 4040, 16865, 22304, 9513, 979, 11131, 349, 4722, 5004, 18, 19791, 1496, 289, 2915, 840, 35718, 309, 40157, 349, 17784, 16, 4266, 13156, 18, 31224, 30, 1182, 3201, 969, 866, 3632, 23935, 46043, 41654, 895, 10850, 16537, 668, 1664, 454, 14553, 20763, 3767, 16, 6442, 38341, 289, 1273, 44132, 16303, 18, 3863, 13588, 2587, 280, 282, 6982, 1045, 34806, 8851, 6548, 29846, 6187, 478, 13945, 2503, 17, 24634, 470, 1761, 403, 324, 1318, 18, 3397, 492, 8624, 7067, 289, 6548, 29846, 6187, 969, 866, 3632, 23935, 46043, 41654, 16, 35585, 4843, 26, 5096, 18, 4824, 411, 7934, 23271, 11131, 510, 48891, 33498, 478, 13945, 2503, 17, 14776, 293, 470, 6070, 19791, 1496, 1624, 1038, 2496, 22912, 23271, 19457, 15690, 289, 6096, 25280, 5881, 18, 23932, 14553, 20763, 3767, 9914, 28573, 32473, 478, 54, 18, 20510, 1095, 75, 87, 5436, 10710, 910, 13135, 589, 4028, 722, 329, 47992, 16, 17506, 12074, 10082, 6041, 2101, 2274, 507, 282, 11847, 1045, 18, 403, 9199, 1505, 26971, 16, 12023, 7094, 277, 3588, 309, 19867, 13770, 281, 6253, 13084, 422, 5925, 656, 9340, 289, 45109, 537, 12411, 334, 3968, 552, 16, 7134, 1011, 7409, 6571, 2793, 428, 11811, 4489, 16160, 416, 8312, 22538, 18, 4663, 4198, 7124, 24353, 510, 39998, 28683, 342, 510, 5186, 332, 773, 19187, 2496, 920, 7450, 1970, 289, 17390, 16, 515, 2805, 14383, 14553, 20763, 3767, 2458, 282, 11238, 17, 263, 3142, 428, 26971, 830, 375, 292, 17055, 289, 5843, 523, 18, 365, 5975, 808, 6956, 5000, 24618, 267, 47676, 281, 6049, 4697, 43326, 18, 365, 3998, 4018, 779, 16537, 416, 29004, 685, 5168, 637, 309, 16790, 18, 34335, 5000, 24618, 267, 309, 10501, 6153, 5862, 7065, 1075, 5509, 49979, 4321, 541, 14141, 17605, 18, 365, 5975, 808, 294, 14553, 20763, 3767, 16, 4473, 312, 4028, 21801, 32132, 289, 17505, 2025, 353, 16, 16151, 19187, 18, 23932, 18649, 282, 4440, 1045, 473, 19050, 3990, 4018, 779, 294, 1664, 552, 4440, 779, 13, 4843, 7751, 16, 25, 3763, 473, 131, 101, 5759, 3763, 13, 8649, 9811, 18, 16375, 675, 20322, 282, 2145, 16, 32164, 16, 5670, 16, 19992, 16, 33632, 1484, 289, 37971, 864, 298, 18, 31186, 5000, 24618, 1013, 47736, 3604, 349, 14553, 20763, 3767, 2364, 4843, 2692, 28, 3763, 473, 131, 101, 34238, 3763, 814, 740, 2354, 4167, 453, 1635, 16, 374, 7072, 13394, 510, 10575, 969, 866, 3632, 23935, 2259, 18692, 4843, 23, 3940, 3763, 473, 131, 101, 4003, 3763, 814, 3791, 309, 1664, 454, 6795, 35412, 21487, 10575, 8083, 20938, 969, 8713, 1072, 289, 33256, 6153, 5862, 23759, 1509, 13070, 48830, 18, 15779, 549, 37856, 14553, 20763, 3767, 510, 481, 726, 10546, 14535, 349, 5284, 290, 27177, 9513, 763, 11131, 969, 866, 3632, 23935, 46043, 18, 365, 19953, 12241, 639, 29128, 290, 970, 16, 374, 10575, 13536, 19791, 5687, 2957, 3389, 1595, 11446, 11400, 282, 7813, 1212, 20172, 3330, 77, 39, 2646, 561, 281, 430, 16, 10257, 9, 519, 1061, 7418, 3429, 16865, 40692, 1069, 47784, 8709, 473, 872, 2451, 510, 10575, 776, 1913, 559, 411, 28223, 17, 4529, 818, 23414, 1286, 16, 25, 21956, 1061, 9, 11400, 8709, 16, 18866, 1081, 349, 4101, 1421, 5196, 3425, 33028, 8990, 16, 4609, 3236, 282, 39271, 3763, 7307, 47568, 29, 6654, 3763, 814, 4922, 36273, 20452, 1248, 969, 866, 3632, 23935, 41057, 48240, 2058, 22003, 2929, 1149, 2383, 473, 10763, 3576, 4843, 21, 5096, 934, 29704, 282, 12838, 4440, 779, 16, 14340, 13588, 4520, 2024, 1038, 1623, 19791, 1496, 19791, 1496, 16, 309, 13519, 11056, 10211, 5612, 1779, 3059, 6677, 457, 13628, 17, 677, 730, 478, 1369, 24939, 12150, 910, 475, 1143, 840, 5009, 4138, 40157, 282, 1175, 289, 8581, 1519, 697, 309, 4244, 451, 8275, 16, 5273, 7897, 10015, 21408, 1624, 3542, 3055, 5977, 19791, 5687, 10419, 360, 22546, 3416, 281, 365, 730, 289, 16790, 11400, 478, 47067, 15921, 470, 349, 4843, 25, 5096, 18, 478, 21393, 6584, 18372, 19589, 2576, 376, 697, 14639, 22145, 16, 515, 912, 764, 1033, 6584, 16, 518, 16, 961, 29372, 670, 11416, 925, 374, 294, 5414, 16, 510, 2548, 25545, 4651, 7897, 282, 4211, 17, 25569, 5868, 18, 510, 832, 3684, 16, 374, 1248, 1533, 986, 282, 1175, 8633, 1085, 17, 1796, 21614, 19791, 22875, 861, 2, 1, 87, 1456, 81, 2448, 30, 43139, 23691, 541, 16838, 3750, 13535, 309, 5066, 1224, 27, 723, 2884, 28, 131, 123, 385, 282, 11147, 678, 24553, 309, 2581, 1165, 282, 1272, 4570, 4803, 16, 367, 971, 1803, 303, 540, 305, 7081, 18, 18411, 1821, 5552, 34691, 1070, 309, 27766, 840, 14218, 506, 8889, 19775, 304, 289, 1322, 30848, 18, 31224, 30, 672, 3345, 303, 540, 564, 282, 3507, 16, 9725, 14960, 282, 10882, 16, 840, 21729, 289, 2518, 5966, 16, 6442, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 861, 889, 9245, 281, 2069, 8498, 45052, 6507, 7097, 282, 694, 28146, 2095, 18457, 15969, 478, 10430, 303, 562, 910, 1029 ]
[ 4419, 309, 11056, 5568, 381, 30664, 14734, 382, 473, 560, 3008, 354, 3304, 9406, 652, 756, 36701, 309, 1533, 699, 814, 7758, 16, 334, 3761, 4275, 412, 8014, 16, 48045, 1281, 699, 30880, 510, 13004, 1986, 1941, 14471, 541, 3750, 18, 32779, 20255, 42740, 291, 1314, 17185, 699, 16, 15513, 549, 541, 1335, 22564, 18, 24031, 349, 478, 10430, 303, 562, 304, 470, 282, 32533, 9804, 6925, 9496, 45052, 7376, 3806, 11972, 2221, 18, 49581, 4290, 700, 2010, 5385, 16, 6017, 5846, 3935, 360, 33603, 16, 367, 12412, 294, 3968, 3756, 35047, 2845, 2203, 23576, 519, 1224, 2932, 131, 123, 385, 18, 8078, 840, 7344, 3328, 16, 30785, 289, 12504, 536, 16, 4266, 44157, 1340, 16, 3545, 2597, 298, 484, 519, 1224, 3902, 655, 2884, 3940, 131, 123, 385, 18, 365, 11099, 2845, 26516, 12412, 309, 1533, 384, 2783, 12762, 4803, 14077, 5855, 14471, 541, 978, 1612, 779, 18, 10655, 4133, 2549, 539, 11440, 16, 2486, 10552, 26968, 1323, 519, 11529, 6473, 35595, 7713, 1409, 5759, 6322, 941, 266, 18, 422, 2211, 1314, 13981, 289, 12108, 1231, 305, 519, 14471, 510, 1409, 6427, 384, 27, 9247, 6322, 941, 266, 18, 422, 18, 365, 16741, 7957, 45052, 6507, 3806, 11972, 15969, 2500, 26655, 3736, 2972, 5171, 334, 27116, 20130, 1175, 18457, 2221, 18, 2320, 5482, 2119, 285, 847, 281, 2923, 2665, 282, 4972, 41322, 1767, 16, 367, 3187, 2234, 5549, 12146, 309, 505, 20541, 41827, 950, 510, 282, 10717, 3304, 4422, 289, 2495, 987, 323, 24628, 281, 1322, 9551, 18, 27533, 10416, 1578, 19107, 16, 10222, 8889, 18, 365, 11877, 8889, 4290, 700, 1747, 3826, 5056, 16, 282, 11084, 840, 1322, 388, 16, 8928, 1886, 10592, 560, 43687, 11315, 519, 1409, 384, 2783, 308, 19, 267, 16, 25753, 44392, 1322, 388, 18, 36748, 2500, 2961, 267, 847, 30, 282, 11877, 289, 282, 11084, 5426, 19988, 1224, 1618, 655, 2884, 3420, 131, 123, 385, 16, 7760, 1224, 3114, 498, 2884, 4234, 131, 123, 385, 18, 10655, 4133, 2549, 539, 11440, 31211, 847, 519, 1409, 8066, 384, 27, 7703, 6322, 941, 266, 18, 422, 18, 365, 3998, 13420, 5576, 17395, 11534, 322, 25190, 289, 21535, 451, 4328, 1320, 18, 365, 40177, 48826, 18457, 15969, 14145, 26655, 636, 874, 16, 46931, 8889, 4290, 347, 5914, 19976, 16, 515, 1137, 5090, 3085, 9496, 18, 27247, 282, 10666, 19988, 1224, 1618, 655, 2884, 3940, 131, 123, 385, 16, 7760, 1224, 3902, 655, 2884, 3572, 131, 123, 385, 18, 10655, 4133, 2549, 539, 11440, 14145, 14583, 289, 14828, 294, 35523, 510, 1409, 9348, 6322, 941, 266, 18, 422, 18, 1860, 2069, 837, 1858, 4783, 1463, 7957, 45052, 6507, 3806, 11972, 15969, 16, 6017, 4040, 46966, 16, 367, 8889, 2010, 24177, 18, 36748, 32033, 12998, 11120, 30, 282, 3765, 309, 12241, 4275, 412, 3847, 17453, 2625, 1224, 6862, 655, 2884, 6091, 131, 123, 385, 16, 7760, 1224, 2932, 655, 2884, 3114, 131, 123, 385, 18, 365, 9937, 289, 11946, 1948, 7558, 8928, 1886, 30, 5426, 519, 1224, 3161, 131, 123, 385, 16, 7760, 2364, 1224, 2932, 131, 123, 385, 18, 11626, 12412, 726, 309, 2418, 384, 3902, 12762, 4803, 14077, 5855, 14471, 18, 967, 803, 17395, 840, 2950, 7511, 1941, 16, 749, 577, 23070, 16, 367, 11440, 13003, 510, 519, 10952, 27, 384, 8564, 29, 6322, 941, 266, 18, 422, 18, 49225, 294, 9747, 5576, 1948, 7558, 20776, 309, 13155, 526, 18, 391, 10699, 13535, 282, 10882, 289, 7933, 3793, 16741, 2961, 7585, 519, 1224, 2932, 655, 2884, 3114, 131, 123, 385, 16, 367, 7760, 34691, 426, 305, 519, 1224, 3114, 655, 2884, 2479, 131, 123, 385, 18, 2, 1, 87, 1456, 81, 2448, 30, 32564, 560, 9163, 7624, 1437, 36536, 6442, 290, 474, 13021, 10560, 28091, 432, 41562, 282, 21457, 18264, 2682, 15581, 16, 5037, 11896, 1175, 4210, 26319, 282, 481, 2630, 2815, 16, 374, 478, 324, 712, 1133, 3402, 453, 670, 4345, 4247, 6843, 470, 294, 4053, 20531, 289, 17602, 360, 31988, 8264, 309, 481, 1247, 18, 40816, 766, 5692, 16, 374, 19665, 968, 13608, 2145, 289, 9808, 282, 29754, 322, 42517, 4008, 2422, 289, 28674, 18, 31224, 30, 31971, 3082, 7796, 1552, 4210, 26319, 282, 4542, 1360, 3781, 17, 19858, 1011, 5790, 281, 18813, 11896, 27106, 3480, 5835, 342, 2266, 355, 23772, 429, 3663, 439, 440, 14770, 2815, 16, 374, 5343, 8232, 360, 31988, 14914, 6208, 6152, 28228, 1530, 9163, 7624, 1437, 36536, 290, 474, 13021, 41562, 282, 21457, 16, 988, 18264, 8394, 23659, 18, 40816, 766, 15135, 16, 374, 37128, 1967, 41562, 1055, 322, 4511, 15786, 16, 515, 16, 334, 3025, 25103, 16, 478, 324, 712, 1133, 3402, 453, 670, 4345, 4247, 6843, 470, 294, 4053, 20531, 18, 4794, 3586, 18795, 309, 9185, 36204, 28228, 477, 1963, 14314, 4729, 32851, 933, 7624, 1437, 18, 478, 732, 9080, 1967, 30384, 1299, 2504, 1055, 322, 895, 7859, 16, 289, 282, 5329, 12530, 14799, 360, 23552, 309, 870, 25814, 448, 3586, 910, 510, 7332, 1694, 12130, 7179, 32975, 346, 11413, 40568, 18, 21552, 5692, 16, 374, 6551, 939, 11289, 341, 24148, 12724, 26755, 3320, 478, 26994, 7441, 470, 473, 4354, 298, 8991, 282, 1175, 13, 282, 29754, 18, 824, 505, 3163, 16, 329, 4534, 939, 14440, 3586, 9466, 502, 16, 428, 25079, 15466, 783, 567, 7410, 281, 2145, 7832, 294, 1335, 48068, 289, 2710, 7272, 678, 5942, 305, 541, 722, 47034, 16, 371, 970, 16, 374, 26118, 1398, 678, 25254, 15466, 783, 906, 15622, 541, 7811, 281, 39468, 16, 5923, 727, 4742, 18, 26319, 1038, 4725, 10064, 8306, 12703, 8885, 16, 753, 322, 15893, 38413, 15581, 20448, 411, 36536, 282, 6765, 3675, 439, 10300, 289, 6551, 18, 824, 505, 3163, 16, 13608, 18981, 309, 15934, 289, 14656, 36536, 11660, 12733, 1733, 7300, 919, 510, 478, 26686, 5600, 1135, 861, 817, 5692, 16, 374, 19665, 968, 13608, 2145, 289, 9808, 282, 29754, 322, 42517, 4008, 2422, 289, 28674, 16, 367, 1314, 2003, 6622, 4126, 15185, 18091, 2804, 371, 25941, 22366, 5703, 2887, 32851, 718, 5478, 289, 43263, 7405, 2044, 13757, 23510, 2514, 5791, 18, 478, 1140, 813, 44899, 41383, 15089, 22695, 282, 2630, 281, 744, 16965, 2206, 4096, 282, 6491, 3623, 282, 1335, 4008, 16, 18183, 26755, 14822, 16, 8565, 5855, 14075, 16, 1586, 10387, 322, 24981, 16, 289, 6681, 3021, 15852, 20448, 309, 15934, 289, 14656, 36536, 18, 403, 6095, 16, 6110, 481, 18584, 1519, 16, 19665, 968, 22723, 13608, 2145, 289, 9808, 322, 42517 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4419, 309, 11056, 5568, 381, 30664, 14734, 382, 473, 560, 3008, 354, 3304, 9406, 652, 756, 36701, 309, 1533, 699, 814, 7758, 16, 334, 3761, 4275, 412, 8014, 16, 48045, 1281, 699, 30880, 510, 13004, 1986, 1941, 14471, 541, 3750, 18, 32779, 20255, 42740, 291, 1314, 17185, 699, 16, 15513, 549, 541, 1335, 22564, 18, 24031, 349, 478, 10430, 303, 562, 304, 470, 282, 32533, 9804, 6925, 9496, 45052, 7376, 3806, 11972, 2221, 18, 49581, 4290, 700, 2010, 5385, 16, 6017, 5846, 3935, 360, 33603, 16, 367, 12412, 294, 3968, 3756, 35047, 2845, 2203, 23576, 519, 1224, 2932, 131, 123, 385, 18, 8078, 840, 7344, 3328, 16, 30785, 289, 12504, 536, 16, 4266, 44157, 1340, 16, 3545, 2597, 298, 484, 519, 1224, 3902, 655, 2884, 3940, 131, 123, 385, 18, 365, 11099, 2845, 26516, 12412, 309, 1533, 384, 2783, 12762, 4803, 14077, 5855, 14471, 541, 978, 1612, 779, 18, 10655, 4133, 2549, 539, 11440, 16, 2486, 10552, 26968, 1323, 519, 11529, 6473, 35595, 7713, 1409, 5759, 6322, 941, 266, 18, 422, 2211, 1314, 13981, 289, 12108, 1231, 305, 519, 14471, 510, 1409, 6427, 384, 27, 9247, 6322, 941, 266, 18, 422, 18, 365, 16741, 7957, 45052, 6507, 3806, 11972, 15969, 2500, 26655, 3736, 2972, 5171, 334, 27116, 20130, 1175, 18457, 2221, 18, 2320, 5482, 2119, 285, 847, 281, 2923, 2665, 282, 4972, 41322, 1767, 16, 367, 3187, 2234, 5549, 12146, 309, 505, 20541, 41827, 950, 510, 282, 10717, 3304, 4422, 289, 2495, 987, 323, 24628, 281, 1322, 9551, 18, 27533, 10416, 1578, 19107, 16, 10222, 8889, 18, 365, 11877, 8889, 4290, 700, 1747, 3826, 5056, 16, 282, 11084, 840, 1322, 388, 16, 8928, 1886, 10592, 560, 43687, 11315, 519, 1409, 384, 2783, 308, 19, 267, 16, 25753, 44392, 1322, 388, 18, 36748, 2500, 2961, 267, 847, 30, 282, 11877, 289, 282, 11084, 5426, 19988, 1224, 1618, 655, 2884, 3420, 131, 123, 385, 16, 7760, 1224, 3114, 498, 2884, 4234, 131, 123, 385, 18, 10655, 4133, 2549, 539, 11440, 31211, 847, 519, 1409, 8066, 384, 27, 7703, 6322, 941, 266, 18, 422, 18, 365, 3998, 13420, 5576, 17395, 11534, 322, 25190, 289, 21535, 451, 4328, 1320, 18, 365, 40177, 48826, 18457, 15969, 14145, 26655, 636, 874, 16, 46931, 8889, 4290, 347, 5914, 19976, 16, 515, 1137, 5090, 3085, 9496, 18, 27247, 282, 10666, 19988, 1224, 1618, 655, 2884, 3940, 131, 123, 385, 16, 7760, 1224, 3902, 655, 2884, 3572, 131, 123, 385, 18, 10655, 4133, 2549, 539, 11440, 14145, 14583, 289, 14828, 294, 35523, 510, 1409, 9348, 6322, 941, 266, 18, 422, 18, 1860, 2069, 837, 1858, 4783, 1463, 7957, 45052, 6507, 3806, 11972, 15969, 16, 6017, 4040, 46966, 16, 367, 8889, 2010, 24177, 18, 36748, 32033, 12998, 11120, 30, 282, 3765, 309, 12241, 4275, 412, 3847, 17453, 2625, 1224, 6862, 655, 2884, 6091, 131, 123, 385, 16, 7760, 1224, 2932, 655, 2884, 3114, 131, 123, 385, 18, 365, 9937, 289, 11946, 1948, 7558, 8928, 1886, 30, 5426, 519, 1224, 3161, 131, 123, 385, 16, 7760, 2364, 1224, 2932, 131, 123, 385, 18, 11626, 12412, 726, 309, 2418, 384, 3902, 12762, 4803, 14077, 5855, 14471, 18, 967, 803, 17395, 840, 2950, 7511, 1941, 16, 749, 577, 23070, 16, 367, 11440, 13003, 510, 519, 10952, 27, 384, 8564, 29, 6322, 941, 266, 18, 422, 18, 49225, 294, 9747, 5576, 1948, 7558, 20776, 309, 13155, 526, 18, 391, 10699, 13535, 282, 10882, 289, 7933, 3793, 16741, 2961, 7585, 519, 1224, 2932, 655, 2884, 3114, 131, 123, 385, 16, 367, 7760, 34691, 426, 305, 519, 1224, 3114, 655, 2884, 2479, 131, 123, 385, 18, 2, 1, 87, 1456, 81, 2448, 30, 32564, 560, 9163, 7624, 1437, 36536, 6442, 290, 474, 13021, 10560, 28091, 432, 41562, 282, 21457, 18264, 2682, 15581, 16, 5037, 11896, 1175, 4210, 26319, 282, 481, 2630, 2815, 16, 374, 478, 324, 712, 1133, 3402, 453, 670, 4345, 4247, 6843, 470, 294, 4053, 20531, 289, 17602, 360, 31988, 8264, 309, 481, 1247, 18, 40816, 766, 5692, 16, 374, 19665, 968, 13608, 2145, 289, 9808, 282, 29754, 322, 42517, 4008, 2422, 289, 28674, 18, 31224, 30, 31971, 3082, 7796, 1552, 4210, 26319, 282, 4542, 1360, 3781, 17, 19858, 1011, 5790, 281, 18813, 11896, 27106, 3480, 5835, 342, 2266, 355, 23772, 429, 3663, 439, 440, 14770, 2815, 16, 374, 5343, 8232, 360, 31988, 14914, 6208, 6152, 28228, 1530, 9163, 7624, 1437, 36536, 290, 474, 13021, 41562, 282, 21457, 16, 988, 18264, 8394, 23659, 18, 40816, 766, 15135, 16, 374, 37128, 1967, 41562, 1055, 322, 4511, 15786, 16, 515, 16, 334, 3025, 25103, 16, 478, 324, 712, 1133, 3402, 453, 670, 4345, 4247, 6843, 470, 294, 4053, 20531, 18, 4794, 3586, 18795, 309, 9185, 36204, 28228, 477, 1963, 14314, 4729, 32851, 933, 7624, 1437, 18, 478, 732, 9080, 1967, 30384, 1299, 2504, 1055, 322, 895, 7859, 16, 289, 282, 5329, 12530, 14799, 360, 23552, 309, 870, 25814, 448, 3586, 910, 510, 7332, 1694, 12130, 7179, 32975, 346, 11413, 40568, 18, 21552, 5692, 16, 374, 6551, 939, 11289, 341, 24148, 12724, 26755, 3320, 478, 26994, 7441, 470, 473, 4354, 298, 8991, 282, 1175, 13, 282, 29754, 18, 824, 505, 3163, 16, 329, 4534, 939, 14440, 3586, 9466, 502, 16, 428, 25079, 15466, 783, 567, 7410, 281, 2145, 7832, 294, 1335, 48068, 289, 2710, 7272, 678, 5942, 305, 541, 722, 47034, 16, 371, 970, 16, 374, 26118, 1398, 678, 25254, 15466, 783, 906, 15622, 541, 7811, 281, 39468, 16, 5923, 727, 4742, 18, 26319, 1038, 4725, 10064, 8306, 12703, 8885, 16, 753, 322, 15893, 38413, 15581, 20448, 411, 36536, 282, 6765, 3675, 439, 10300, 289, 6551, 18, 824, 505, 3163, 16, 13608, 18981, 309, 15934, 289, 14656, 36536, 11660, 12733, 1733, 7300, 919, 510, 478, 26686, 5600, 1135, 861, 817, 5692, 16, 374, 19665, 968, 13608, 2145, 289, 9808, 282, 29754, 322, 42517, 4008, 2422, 289, 28674, 16, 367, 1314, 2003, 6622, 4126, 15185, 18091, 2804, 371, 25941, 22366, 5703, 2887, 32851, 718, 5478, 289, 43263, 7405, 2044, 13757, 23510, 2514, 5791, 18, 478, 1140, 813, 44899, 41383, 15089, 22695, 282, 2630, 281, 744, 16965, 2206, 4096, 282, 6491, 3623, 282, 1335, 4008, 16, 18183, 26755, 14822, 16, 8565, 5855, 14075, 16, 1586, 10387, 322, 24981, 16, 289, 6681, 3021, 15852, 20448, 309, 15934, 289, 14656, 36536, 18, 403, 6095, 16, 6110, 481, 18584, 1519, 16, 19665, 968, 22723, 13608, 2145, 289, 9808, 322, 42517 ]