Hugging Face's logo

Datasets:
ducanhdinh
/
THUCNewsProccessed_full

Formats:
parquet
Size:
100K - 1M
Libraries:
Datasets
Dask
Dataset card Data Studio Files
xet
Community
1
Dataset Viewer
Auto-converted to Parquet Duplicate
Search is not available for this dataset
input_ids
listlengths
10
1k
attention_mask
listlengths
10
1k
token_type_ids
listlengths
10
1k
bmes_tags
listlengths
10
1k
[ 101, 9470, 8277, 9702, 8797, 9751, 9314, 10507, 9501, 707, 3198, 7360, 5959, 3173, 3857, 6568, 5307, 6380, 1266, 776, 3198, 7313, 1453, 671, 3241, 7313, 3867, 2622, 9470, 8277, 9702, 8797, 9751, 9314, 10507, 9501, 13097, 8187, 8189, 8181, 1762, 671, 819, 1898, 3209, 704, 6134, 4850, 868, 711, 1071, 2768, 3315, 5688, 5276, 6369, 1153, 4638, 671, 6956, 1146, 2199, 2828, 1447, 2339, 5052, 4415, 2231, 1469, 5869, 752, 833, 4638, 5959, 3717, 707, 3198, 1181, 1121, 9083, 6421, 1062, 1385, 6820, 2199, 1181, 1121, 702, 782, 828, 969, 3198, 7313, 679, 1856, 6133, 4958, 5375, 5466, 855, 2400, 3257, 977, 6956, 1146, 1062, 1385, 4886, 1164, 6421, 1062, 1385, 6134, 4850, 6821, 763, 2974, 3177, 3192, 1762, 2376, 1221, 2850, 3867, 2769, 1062, 1385, 809, 6598, 772, 711, 1825, 4794, 4638, 689, 1218, 1728, 2496, 1184, 2356, 1767, 4384, 1862, 2512, 1510, 5445, 2193, 5636, 4638, 5852, 3119, 678, 7360, 6421, 1062, 1385, 6134, 4850, 1377, 5543, 1762, 3313, 3341, 6844, 2496, 3198, 2612, 1908, 4886, 1164, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 3, 3, 0, 2, 0, 1, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3 ]
[ 101, 5500, 2900, 2968, 3209, 2419, 6956, 1353, 2486, 722, 6662, 3289, 2835, 1744, 4670, 6395, 1171, 4374, 1187, 1453, 676, 5500, 2900, 1044, 2829, 1400, 2813, 1762, 1158, 1139, 791, 2399, 6444, 3146, 4638, 3173, 856, 1400, 2487, 1226, 1353, 2486, 697, 2356, 1772, 3119, 1139, 2372, 7270, 678, 2512, 5296, 4638, 704, 7345, 5296, 2768, 769, 738, 3209, 3227, 3123, 1920, 6134, 3209, 5500, 2900, 1762, 13044, 4157, 7353, 6818, 3300, 6772, 2487, 4638, 2825, 3318, 3118, 3053, 2356, 1767, 3300, 3307, 1159, 3635, 821, 4937, 2218, 4669, 7481, 4638, 2658, 1105, 3341, 4692, 697, 2356, 1066, 3300, 8552, 1914, 1372, 702, 5500, 677, 3885, 5445, 3885, 977, 702, 5500, 3291, 1914, 6809, 8149, 1372, 3221, 791, 2399, 3885, 977, 702, 5500, 3144, 7030, 3297, 1914, 4638, 671, 702, 769, 3211, 3189, 3291, 966, 2533, 1068, 3800, 4638, 3221, 2900, 3403, 5500, 5408, 860, 6818, 3309, 6762, 4528, 6134, 4385, 2190, 754, 5500, 2900, 821, 4937, 6629, 1168, 749, 4916, 3353, 868, 4500, 1726, 7560, 809, 2518, 2356, 1767, 4638, 1126, 3613, 3797, 3667, 6121, 2658, 1377, 809, 1355, 4385, 2900, 3403, 5500, 677, 3885, 3221, 3632, 6649, 4638, 7028, 6206, 928, 1384, 4507, 754, 3634, 5102, 702, 5500, 2356, 966, 6772, 1920, 2518, 2518, 5543, 1916, 6629, 1168, 2137, 3862, 4868, 7151, 4638, 868, 4500, 2218, 6818, 1126, 702, 769, 3211, 3189, 4638, 2658, 1105, 3341, 4692, 1259, 2886, 7032, 6084, 1765, 772, 3300, 5682, 4510, 1213, 4209, 4151, 5023, 3352, 1779, 6963, 1762, 4669, 704, 3300, 2792, 1220, 868, 1071, 704, 1453, 676, 4638, 6134, 4385, 1213, 2428, 3291, 711, 4960, 1139, 1963, 6205, 2255, 4209, 4510, 7674, 1158, 5500, 819, 1078, 704, 5543, 3975, 2140, 3173, 5543, 3975, 4669, 3736, 5500, 819, 5023, 3772, 3918, 8209, 2768, 1146, 5500, 6820, 1139, 4385, 3885, 977, 1920, 2356, 966, 702, 5500, 704, 4638, 3736, 6205, 7198, 689, 704, 1744, 2398, 2128, 3918, 1355, 2245, 143, 704, 1744, 1922, 924, 4053, 2128, 4384, 5543, 5023, 3885, 2388, 738, 6963, 1762, 126, 809, 677, 3227, 4850, 749, 5468, 1220, 4638, 2578, 1232, 680, 1184, 3309, 1296, 702, 3352, 1779, 6134, 4385, 3300, 6772, 1920, 4638, 679, 1398, 1762, 8170, 2399, 129, 3299, 2458, 1993, 4638, 1920, 6444, 3146, 704, 738, 3221, 2900, 3403, 5102, 702, 5500, 4372, 1044, 1353, 2486, 2400, 3297, 5303, 2372, 1220, 5500, 2900, 1353, 2486, 6624, 7770, 1728, 3634, 1453, 676, 4638, 2900, 3403, 5102, 702, 5500, 7415, 860, 6624, 2487, 966, 2533, 7770, 2428, 1068, 3800, 794, 1369, 671, 702, 6235, 2428, 4692, 821, 689, 689, 5327, 1962, 6760, 738, 679, 3118, 2898, 5500, 2900, 4764, 3309, 3918, 2388, 678, 6649, 677, 2356, 1062, 1385, 4638, 689, 5327, 3221, 5500, 817, 6134, 4385, 4638, 1825, 4767, 5679, 1962, 4638, 689, 5327, 5543, 1916, 3118, 3053, 857, 6772, 7770, 4638, 5500, 817, 6006, 4197, 1343, 2399, 689, 5327, 6820, 3766, 3300, 1059, 6956, 1062, 2357, 852, 1316, 3300, 8632, 8129, 2157, 677, 2356, 1062, 1385, 1062, 2357, 749, 689, 5327, 7564, 1440, 1071, 704, 8347, 8161, 2157, 1355, 2357, 7564, 1872, 7564, 4659, 1062, 1440, 8381, 2157, 821, 689, 7564, 2398, 7564, 755, 1469, 7564, 7360, 4638, 3300, 12073, 2157, 821, 689, 1377, 809, 4692, 1139, 1914, 3144, 821, 689, 4638, 5307, 5852, 4307, 1105, 3221, 1962, 4638, 5445, 794, 809, 2518, 4638, 2131, 6225, 7481, 2658, 1105, 3341, 4692, 8182, 2399, 5018, 1724, 2108, 2428, 1469, 8170, 2399, 5018, 671, 2108, 2428, 3221, 5307, 3845, 1355, 2245, 3297, 1737, 7410, 4638, 3198, 952, 738, 3221, 677, 2356, 1062, 1385, 689, 5327, 6134, 4385, 3297, 679, 1962, 4638, 3198, 952, 1728, 3634, 1377, 809, 7564, 3309, 3187, 6389, 3221, 8170, 2399, 4638, 2399, 2845, 6820, 3221, 8166, 2399, 5018, 671, 2108, 2428, 4638, 2108, 2845, 1398, 3683, 3209, 3227, 1872, 7270, 6963, 3221, 1377, 809, 7564, 3309, 4638, 1086, 794, 2356, 1767, 4638, 844, 966, 3341, 4692, 2496, 1184, 2356, 1767, 3146, 860, 3717, 2398, 2400, 679, 7770, 6820, 3300, 671, 763, 1920, 4669, 2900, 3403, 5102, 702, 5500, 4638, 2356, 4659, 4372, 788, 788, 1282, 1126, 945, 1963, 3362, 5440, 5991, 1168, 2108, 2428, 2595, 2898, 5330, 1872, 7270, 2199, 2190, 4764, 3309, 5500, 2900, 3300, 6772, 1920, 4638, 3118, 3053, 868, 4500, 1728, 3634, 3313, 3341, 1315, 886, 2356, 1767, 6820, 3300, 3173, 4638, 678, 6649, 6444, 3146, 1071, 2388, 2428, 738, 679, 833, 1922, 1920, 4685, 1353, 6820, 3221, 6864, 856, 792, 1057, 4638, 3173, 3322, 833, 679, 6814, 5011, 5442, 6371, 711, 2226, 5052, 4764, 3309, 1079, 2356, 1767, 678, 6649, 4638, 4958, 7313, 679, 1920, 852, 1920, 2388, 677, 3885, 4638, 1377, 5543, 2595, 738, 3683, 6772, 2207, 4294, 1166, 3221, 1762, 3217, 5688, 1184, 4638, 2356, 1767, 4384, 1862, 678, 1920, 4669, 1403, 677, 4638, 1220, 1213, 679, 6639, 6821, 712, 6206, 3221, 1728, 711, 2356, 1767, 4638, 1184, 3309, 5168, 6369, 3885, 2388, 679, 2207, 6387, 1914, 702, 5500, 4638, 2137, 855, 898, 3191, 974, 7770, 6598, 7032, 7481, 677, 4638, 1327, 1213, 738, 6820, 3766, 3300, 2515, 2419, 4638, 5353, 6237, 3313, 3341, 6820, 2100, 1762, 4708, 6772, 1914, 4638, 679, 4802, 2137, 4638, 1728, 5162, 6598, 7032, 738, 679, 2703, 1762, 3217, 5688, 1184, 1920, 715, 1872, 797, 976, 1914, 2190, 754, 2356, 1767, 4638, 1164, 1914, 860, 4385, 2533, 3291, 1914, 4638, 3221, 2356, 1767, 4638, 3632, 6649, 821, 4937, 5445, 3766, 3300, 5543, 1213, 2199, 5500, 2900, 2898, 5330, 2972, 7770, 4028, 5306, 3173, 671, 6762, 4638, 677, 3885, 6121, 2658, 1728, 3634, 5011, 5442, 7564, 6369, 1762, 5688, 1184, 679, 6639, 8108, 702, 769, 3211, 3189, 704, 1920, 4669, 5500, 2900, 3291, 1914, 6134, 4385, 711, 7448, 5782, 5029, 2419, 4638, 6624, 1232, 4294, 2519, 4294, 1166, 3221, 2419, 6956, 4638, 4802, 2137, 6820, 833, 3300, 671, 702, 1353, 1908, 6814, 4923, 5341, 1394, 4692, 5011, 5442, 2190, 754, 6121, 2658, 4638, 2600, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 3, 3, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 1, 1, 2, 3, 3, 3, 0, 1, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 1, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 0, 2, 0, 2, 3, 3, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 1, 1, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 3, 0, 1, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 1, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3 ]
[ 101, 3173, 3314, 3189, 1300, 1894, 7826, 3683, 2225, 1059, 4413, 5500, 2356, 1377, 5543, 1139, 4385, 6444, 3146, 3173, 3857, 6568, 5307, 6380, 1266, 776, 3198, 7313, 122, 3299, 8128, 3189, 678, 1286, 3867, 2622, 2945, 1744, 1912, 2054, 860, 2845, 6887, 5294, 5276, 1920, 2110, 5307, 3845, 2110, 3136, 2956, 3300, 3173, 3314, 3189, 1300, 1894, 1222, 7027, 1812, 2209, 7826, 3683, 2225, 8275, 8685, 11995, 8607, 10544, 10489, 6134, 4850, 4507, 754, 1059, 4413, 1920, 1798, 5307, 3845, 860, 1908, 5722, 6633, 5353, 5445, 684, 6858, 5367, 1327, 1213, 7361, 1169, 749, 821, 689, 4659, 1164, 1872, 7270, 8166, 2399, 678, 1288, 2399, 1059, 4413, 5500, 2356, 1377, 5543, 5310, 3338, 677, 3885, 2400, 1139, 4385, 6444, 3146, 7826, 3683, 2225, 791, 1921, 6134, 4850, 1358, 5401, 1744, 1469, 1059, 4413, 1071, 800, 1744, 2157, 6573, 2355, 3124, 5032, 2160, 3351, 2512, 1510, 3173, 1069, 2356, 1767, 6598, 772, 1139, 4385, 3796, 3773, 6821, 1377, 5543, 886, 6598, 772, 817, 3419, 1139, 4385, 1920, 2388, 6444, 3146, 6822, 5445, 2938, 1350, 1059, 4413, 1469, 1765, 1277, 5307, 3845, 1872, 7270, 9400, 686, 4518, 2900, 3144, 2347, 5307, 794, 1343, 2399, 124, 3299, 4638, 856, 4157, 677, 3885, 8454, 686, 4518, 7213, 6121, 8572, 10980, 3219, 1921, 677, 6444, 8166, 2399, 1059, 4413, 5307, 3845, 1872, 7270, 7564, 3309, 4638, 1398, 3198, 6356, 1440, 4917, 4507, 754, 1392, 1744, 5307, 3845, 1173, 4080, 6369, 1153, 2970, 6818, 2227, 1898, 5445, 684, 7770, 1927, 689, 4307, 1105, 2898, 5330, 1059, 4413, 5307, 3845, 1908, 5722, 1220, 1213, 1377, 5543, 1121, 2483, 7826, 3683, 2225, 6432, 2141, 7354, 5307, 3845, 3633, 1762, 6852, 3635, 1908, 5722, 852, 5632, 794, 1343, 2399, 124, 3299, 2458, 1993, 6598, 772, 817, 3419, 7770, 3885, 1963, 3362, 2769, 4638, 4692, 3791, 3633, 4802, 791, 2399, 678, 1288, 2399, 5401, 1744, 3616, 3828, 1469, 3189, 3315, 5307, 3845, 1872, 7270, 2199, 3123, 5353, 6822, 5445, 914, 886, 2356, 1767, 1139, 4385, 6444, 3146, 852, 800, 6820, 2900, 1139, 4507, 754, 3173, 1069, 2356, 1767, 2190, 1333, 3332, 3160, 4638, 7444, 3724, 1872, 1217, 1920, 2134, 1555, 1501, 2356, 1767, 4638, 6444, 3146, 2388, 2428, 2199, 3300, 7361, 3209, 7459, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 0, 1, 1, 2, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3 ]
[ 101, 7478, 1127, 704, 1744, 2461, 6579, 3330, 2123, 4917, 2356, 1105, 3121, 1359, 2945, 3949, 2054, 2845, 6887, 860, 3082, 4374, 2094, 3330, 2123, 6760, 6121, 2832, 6598, 1316, 7481, 2190, 6436, 1914, 679, 7556, 1343, 2399, 129, 3299, 2692, 1745, 2199, 2792, 2898, 3300, 4638, 3330, 2123, 13244, 8805, 11054, 2792, 3300, 5500, 3326, 3800, 1057, 1158, 689, 3352, 1062, 1385, 7478, 1127, 704, 1744, 12365, 8709, 11054, 2399, 2419, 2218, 6901, 3949, 769, 2792, 6161, 2137, 711, 1353, 3119, 6579, 5445, 1373, 977, 2496, 3198, 1062, 1385, 6134, 4850, 6206, 2990, 1139, 677, 6401, 3634, 1400, 671, 4684, 3347, 3187, 7509, 6380, 5635, 3219, 1921, 3241, 7313, 7478, 1127, 704, 1744, 4960, 4197, 2146, 2357, 679, 1086, 6822, 6121, 3119, 6579, 2400, 2199, 1333, 1728, 2495, 1470, 754, 6818, 3309, 2356, 1767, 4307, 1105, 3121, 1359, 2945, 2634, 3330, 2123, 2898, 3300, 7478, 1127, 8411, 4638, 5500, 819, 2898, 3300, 3330, 2123, 1062, 1385, 11289, 5500, 3326, 3300, 2356, 1767, 782, 1894, 4917, 791, 2399, 1079, 1765, 2791, 1765, 772, 2356, 1767, 4558, 6763, 3330, 2123, 4638, 7478, 1127, 704, 1744, 5307, 5852, 671, 4684, 679, 7556, 3614, 6816, 1355, 6134, 6397, 6389, 2769, 6206, 6397, 6389, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 3, 0, 1, 2, 0, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3 ]
[ 101, 776, 1290, 2255, 671, 704, 1744, 7032, 2247, 1086, 4495, 1166, 1072, 831, 1232, 776, 1290, 2255, 671, 1306, 1423, 6930, 704, 1744, 7032, 2247, 1086, 4495, 704, 7032, 1086, 4495, 809, 3119, 1057, 6369, 3221, 1744, 1079, 3297, 1920, 4638, 7032, 2247, 1726, 3119, 821, 689, 1062, 1385, 1403, 3862, 1079, 1912, 897, 2418, 1555, 1726, 3119, 2426, 7032, 2247, 2400, 3418, 2945, 2145, 2787, 7444, 3724, 1169, 2768, 3173, 4638, 5110, 7032, 2247, 704, 7032, 1086, 4495, 4638, 712, 6206, 2145, 2787, 1259, 2886, 1744, 1079, 7032, 2247, 4495, 772, 1555, 1762, 7444, 3724, 2571, 6862, 1872, 7270, 1350, 897, 2418, 3300, 7361, 4638, 1352, 7028, 1728, 5162, 678, 1062, 1385, 2137, 1377, 1358, 2669, 754, 2426, 7032, 2247, 1726, 3119, 3189, 4660, 1872, 2487, 4638, 7028, 6206, 2595, 1398, 3198, 1062, 1385, 3633, 1222, 1213, 2810, 1920, 1762, 6821, 4275, 1146, 3141, 2356, 1767, 4638, 1304, 3300, 4372, 2769, 812, 7564, 3309, 1062, 1385, 3313, 3341, 4659, 1164, 2199, 6816, 3341, 2487, 1226, 1872, 7270, 1744, 1079, 7566, 1044, 4638, 7032, 2247, 1726, 3119, 1555, 809, 3119, 1057, 6369, 704, 7032, 1086, 4495, 3221, 1744, 1079, 3297, 1920, 4638, 2426, 7032, 2247, 1726, 3119, 1555, 1062, 1385, 712, 6206, 794, 2157, 4500, 4510, 1690, 1350, 2456, 5029, 689, 1726, 3119, 2426, 7032, 2247, 2400, 1169, 2768, 7946, 5682, 1350, 3300, 5682, 7032, 2247, 772, 1501, 1062, 1385, 6818, 1126, 2399, 4638, 3119, 1057, 1350, 4659, 1164, 1872, 7270, 2487, 1226, 8116, 5635, 8141, 2399, 2428, 4638, 2398, 1772, 1908, 1394, 1872, 7270, 4372, 1146, 1166, 7770, 6809, 8667, 8158, 1350, 9149, 8129, 2828, 2995, 2571, 6862, 1872, 7270, 4638, 1744, 1079, 7167, 7198, 7444, 3724, 704, 1744, 4680, 1184, 3221, 1059, 4413, 3297, 1920, 4638, 7167, 1350, 7198, 3867, 5450, 1744, 1304, 8170, 2399, 1059, 4413, 2600, 3867, 5450, 7030, 4638, 3683, 7028, 1146, 1166, 711, 13310, 1350, 12027, 679, 6814, 6821, 763, 7032, 2247, 4638, 897, 2418, 7030, 1316, 3187, 3791, 4007, 6639, 7444, 3724, 7030, 4638, 1872, 7270, 1728, 3634, 5307, 1726, 3119, 7032, 2247, 4638, 7444, 3724, 3189, 6633, 3200, 4670, 3634, 1912, 1062, 1385, 771, 3633, 794, 3189, 4660, 1069, 6629, 4638, 5344, 5682, 3926, 3815, 3519, 2573, 704, 1358, 2669, 680, 837, 5320, 4638, 7770, 4140, 4159, 7167, 3175, 2466, 4685, 3683, 4510, 2479, 4140, 2339, 5686, 4638, 2426, 7032, 2247, 886, 4500, 4372, 3291, 7770, 3291, 4384, 924, 684, 3291, 5688, 4689, 2768, 3315, 3125, 4510, 2479, 4140, 4638, 2418, 4500, 3633, 6852, 3635, 3249, 1350, 2400, 6760, 5445, 914, 6822, 749, 2426, 7167, 1164, 4500, 3124, 5032, 2820, 2898, 6121, 689, 1355, 2245, 4680, 1184, 1744, 1079, 2426, 7032, 2247, 1726, 3119, 689, 7770, 2428, 1146, 3141, 711, 6809, 1168, 707, 4518, 7030, 3124, 2424, 3633, 7961, 1225, 6121, 689, 3146, 1394, 2207, 1798, 6817, 5852, 1555, 2199, 3905, 3743, 1139, 2229, 5445, 704, 7032, 1086, 4495, 5023, 6121, 689, 7566, 1928, 5399, 2199, 6822, 671, 3635, 2810, 1920, 2356, 1304, 4372, 772, 5543, 2571, 6862, 2810, 2476, 5052, 4415, 2231, 671, 4684, 4916, 3353, 2192, 3322, 2810, 1041, 772, 5543, 1062, 1385, 8116, 5635, 8141, 2399, 2428, 2600, 772, 5543, 3680, 2399, 1908, 1394, 1872, 7270, 9784, 2400, 2199, 794, 8141, 2399, 2428, 4638, 9643, 674, 1417, 6822, 671, 3635, 2810, 1041, 5635, 8108, 2399, 2428, 4638, 10706, 674, 1417, 1062, 1385, 3297, 6818, 6822, 6121, 4638, 712, 6206, 2810, 2476, 6369, 1153, 1259, 2886, 3636, 3727, 3173, 6392, 3177, 1350, 3119, 6579, 1744, 5543, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 1, 2, 3, 0, 1, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 1, 2, 0, 1, 2, 3, 3, 3, 0, 2, 3, 3, 0, 1, 1, 2, 3, 0, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 3, 3, 0, 2, 0, 1, 2, 0, 2, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 3 ]
[ 101, 7213, 6121, 689, 3837, 1220, 2595, 7721, 1213, 4384, 3683, 1121, 2483, 852, 793, 2199, 924, 2898, 122, 6818, 3309, 7213, 6121, 3352, 1779, 6624, 1232, 1726, 7560, 680, 1920, 4669, 1825, 3315, 1398, 3635, 5632, 8170, 2399, 129, 3299, 128, 3189, 809, 3341, 7213, 6121, 3352, 1779, 680, 1920, 4669, 1825, 3315, 1398, 3635, 1744, 3300, 1920, 6121, 2094, 3352, 1779, 3297, 711, 2834, 6649, 5500, 819, 1169, 7213, 6121, 3352, 1779, 6134, 4385, 3297, 2345, 123, 6121, 689, 5307, 5852, 4307, 1105, 1184, 4750, 5335, 2898, 8141, 2399, 4659, 1164, 7564, 3844, 5335, 2898, 1059, 2399, 3173, 1872, 928, 6587, 130, 674, 783, 7564, 3844, 7564, 6369, 8141, 2399, 1925, 6121, 1825, 1114, 1164, 4372, 679, 1359, 852, 677, 6121, 7599, 7372, 1217, 1920, 1112, 2622, 2345, 678, 1288, 2399, 2199, 2207, 2388, 1726, 1285, 928, 6587, 2768, 3315, 3187, 7444, 2857, 2569, 7213, 6121, 689, 1912, 6956, 6817, 5852, 4384, 1862, 1139, 4385, 6760, 2835, 2595, 928, 1384, 3291, 1217, 3209, 3227, 5335, 2898, 8141, 2399, 677, 2356, 7213, 6121, 3146, 860, 1112, 1164, 3883, 1872, 6862, 711, 8989, 7564, 3844, 124, 3837, 1220, 2595, 7721, 1213, 4384, 3683, 3300, 2792, 1121, 2483, 852, 793, 2199, 924, 2898, 2487, 1226, 2902, 130, 3299, 125, 3189, 3119, 4669, 817, 6369, 5050, 7213, 6121, 3352, 1779, 2356, 1112, 4372, 680, 2356, 4659, 4372, 1772, 3227, 5865, 856, 754, 1920, 4669, 1825, 1114, 3717, 2398, 7213, 6121, 3352, 1779, 4638, 2356, 1767, 844, 966, 3717, 2398, 4685, 2190, 6772, 856, 2769, 812, 1161, 3171, 6006, 4197, 128, 3299, 819, 809, 3341, 2356, 1767, 3837, 1220, 2595, 7721, 1213, 4384, 3683, 3300, 2792, 1121, 2483, 852, 793, 924, 2898, 2487, 1226, 2578, 1232, 2769, 812, 2190, 3313, 3341, 671, 3667, 3198, 7313, 1079, 671, 702, 2108, 2428, 3837, 1220, 2595, 924, 2898, 6474, 2708, 727, 6225, 2578, 2428, 125, 678, 1288, 2399, 2832, 6598, 5032, 4526, 1350, 7028, 4157, 702, 5500, 2972, 5773, 2832, 6598, 6397, 5277, 7213, 6121, 689, 5307, 5852, 4384, 1862, 1403, 677, 2866, 4157, 928, 1384, 3291, 1217, 3209, 4802, 5335, 2898, 3634, 1184, 4659, 1164, 1872, 6862, 7564, 3844, 3352, 1779, 4685, 2190, 844, 966, 3717, 2398, 974, 856, 3837, 1220, 2595, 2190, 844, 966, 945, 3144, 4638, 7721, 1213, 793, 2199, 2487, 1226, 5335, 2898, 7213, 6121, 3352, 1779, 1872, 2898, 6397, 5277, 6848, 5500, 6872, 6782, 671, 3175, 7481, 5307, 3845, 3635, 1057, 1908, 5722, 7564, 3309, 680, 3837, 1220, 2595, 1041, 6168, 7721, 1213, 2487, 1226, 2193, 5636, 2356, 1767, 7599, 7372, 974, 1962, 793, 2199, 5335, 2898, 6772, 7770, 3717, 2398, 1369, 671, 3175, 7481, 6844, 2428, 2160, 3351, 6573, 2355, 3124, 5032, 1825, 6444, 6006, 679, 1359, 852, 6818, 3309, 2544, 6444, 2974, 3177, 7574, 4385, 2128, 1059, 2595, 2900, 3403, 7028, 6206, 2595, 1137, 3227, 2768, 7270, 2595, 1469, 2128, 1059, 2595, 2900, 3403, 936, 881, 4638, 677, 2356, 7213, 6121, 1377, 5543, 3291, 711, 2356, 1767, 974, 4263, 5445, 1744, 3300, 1920, 6121, 4638, 7344, 2539, 2595, 817, 966, 966, 2533, 1068, 3800, 7028, 4157, 702, 5500, 1069, 689, 7213, 6121, 1872, 2898, 5307, 5852, 7599, 3419, 6772, 711, 6822, 1357, 2356, 1767, 6564, 1849, 966, 6772, 1920, 1398, 3198, 2128, 1059, 2595, 2900, 3403, 6772, 1962, 1266, 776, 7213, 6121, 1872, 2898, 1358, 4660, 754, 1765, 3175, 2832, 6598, 1872, 6862, 1217, 2571, 1400, 1355, 831, 1232, 6772, 1920, 2128, 1059, 2595, 2900, 3403, 5679, 1962, 3918, 1355, 2245, 1872, 2898, 677, 1288, 2399, 3173, 1872, 6587, 3621, 704, 4873, 2945, 6084, 6598, 1304, 3683, 6772, 1920, 1728, 5445, 689, 5327, 1872, 7270, 4052, 1213, 6772, 1920, 1072, 3300, 3209, 4802, 4638, 2137, 1403, 1872, 1355, 6084, 6598, 2199, 6237, 1104, 6598, 3315, 4486, 7568, 7309, 7579, 1728, 704, 1744, 2398, 2128, 3313, 3341, 2971, 5500, 5445, 1072, 3300, 4052, 1762, 4638, 1291, 1398, 3126, 2418, 2456, 6392, 7213, 6121, 1872, 2898, 5307, 5852, 4937, 978, 2128, 1059, 2595, 2900, 3403, 5679, 1962, 126, 7599, 7372, 704, 1744, 5307, 3845, 1908, 5722, 2866, 4157, 3241, 754, 7564, 3309, 2356, 1767, 7599, 7372, 974, 1962, 678, 7360, 7213, 6121, 689, 928, 6587, 2768, 3315, 1350, 689, 5327, 679, 1350, 7564, 3309, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 3, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3 ]
[ 101, 4263, 2209, 1065, 948, 678, 749, 5868, 5843, 4280, 6820, 5543, 3053, 1914, 719, 2226, 5052, 5868, 5843, 4280, 3124, 2424, 928, 6292, 3190, 3190, 1780, 4917, 5543, 1916, 4324, 4989, 2418, 802, 3187, 7444, 1912, 4518, 3001, 1221, 852, 1762, 671, 763, 5307, 3845, 2110, 2157, 4706, 704, 5868, 5843, 4280, 3770, 711, 5326, 2361, 5572, 1469, 4263, 2209, 1065, 722, 1400, 4638, 3616, 4673, 5018, 676, 702, 1358, 3001, 1744, 1372, 3221, 3198, 7313, 7309, 7579, 5445, 680, 722, 3685, 6943, 4638, 3616, 4673, 5018, 1724, 1920, 5307, 3845, 860, 6205, 4408, 4280, 738, 2523, 1377, 5543, 1535, 767, 7976, 2170, 2945, 3173, 1290, 4852, 4510, 5868, 5843, 4280, 704, 1925, 7213, 6121, 8111, 3299, 8114, 3189, 6356, 1440, 6432, 5868, 5843, 4280, 7213, 6121, 689, 7481, 707, 3187, 3791, 2159, 2556, 4638, 7599, 7372, 1181, 1121, 1062, 1066, 6956, 7305, 2458, 3118, 3221, 5353, 6237, 7213, 6121, 689, 7372, 2658, 4638, 1546, 671, 6854, 2520, 7390, 4708, 2361, 5572, 4263, 2209, 1065, 4685, 5326, 3770, 7379, 5868, 5843, 4280, 3124, 2424, 2164, 3307, 6858, 6814, 6568, 3124, 5165, 5367, 3124, 5032, 1181, 1121, 6619, 2099, 5353, 6237, 712, 3326, 965, 1218, 1327, 1213, 852, 1146, 3358, 2360, 6371, 711, 6568, 3124, 5165, 5367, 2199, 2193, 5636, 5307, 3845, 678, 6121, 6822, 671, 3635, 2626, 1265, 1555, 689, 7213, 6121, 4638, 4495, 2100, 4384, 1862, 5868, 5843, 4280, 3124, 2424, 5632, 1213, 3291, 4495, 6568, 3124, 5165, 5367, 4263, 2209, 1065, 3124, 2424, 677, 1453, 2146, 2357, 2970, 1358, 3616, 3828, 5468, 4673, 1469, 1744, 7354, 6573, 2355, 1825, 7032, 5299, 5302, 7032, 6084, 3001, 1221, 1400, 2356, 1767, 1068, 3800, 4193, 4157, 6760, 1403, 1369, 671, 702, 3616, 4673, 2768, 1447, 1744, 5868, 5843, 4280, 2857, 2552, 6821, 702, 1744, 2157, 2199, 2768, 711, 678, 671, 2476, 948, 678, 4638, 1914, 5101, 6437, 7755, 4277, 1963, 4263, 2209, 1065, 3124, 2424, 1044, 1184, 1780, 4917, 3187, 7444, 1912, 4518, 3001, 1221, 6929, 3416, 5868, 5843, 4280, 3124, 2424, 738, 3030, 1139, 671, 1199, 5632, 1213, 3291, 4495, 4638, 2013, 2578, 8111, 3299, 8153, 3189, 1762, 2600, 4415, 5735, 3813, 5722, 3419, 2861, 2419, 4638, 1213, 2972, 678, 5868, 5843, 4280, 6379, 833, 6858, 6814, 6568, 3124, 5165, 5367, 3175, 3428, 2361, 3307, 809, 1059, 7481, 1872, 1217, 6602, 4925, 1181, 1121, 1062, 1218, 1447, 5959, 6992, 5023, 3175, 2466, 2141, 4385, 1121, 6619, 4680, 3403, 2199, 3209, 2399, 4638, 7564, 5050, 6619, 2099, 1304, 1744, 1079, 4495, 772, 2600, 966, 3683, 891, 794, 791, 2399, 4638, 8454, 7360, 5635, 8248, 5307, 3845, 2110, 2157, 5868, 5843, 4280, 6826, 3193, 833, 3770, 7379, 3173, 4638, 5165, 5367, 3124, 5032, 5543, 1415, 1963, 5722, 3419, 2861, 2419, 2792, 6241, 1377, 1221, 5868, 5843, 4280, 2768, 1216, 5564, 7372, 4706, 678, 7410, 868, 2137, 6389, 4263, 2209, 1065, 2832, 7360, 1400, 2226, 5052, 5868, 5843, 4280, 3124, 2424, 928, 6292, 3190, 3190, 1780, 4917, 5543, 1916, 4324, 4989, 2418, 802, 3187, 7444, 1912, 4518, 3001, 1221, 852, 1762, 671, 763, 5307, 3845, 2110, 2157, 4706, 704, 5868, 5843, 4280, 3770, 711, 5018, 676, 702, 1358, 3001, 1744, 1372, 3221, 3198, 7313, 7309, 7579, 5445, 680, 722, 3685, 6943, 4638, 3616, 4673, 5018, 1724, 1920, 5307, 3845, 860, 6205, 4408, 4280, 738, 2199, 1535, 767, 7976, 2170, 5868, 5843, 4280, 7032, 6084, 2356, 1767, 1146, 3358, 2360, 6589, 1164, 877, 1217, 6205, 762, 6371, 711, 5868, 5843, 4280, 2970, 1358, 3616, 4673, 3001, 1221, 4638, 1072, 860, 3198, 7313, 7410, 809, 7564, 3844, 1728, 711, 3221, 1415, 2970, 1358, 3131, 3001, 1963, 791, 3291, 1914, 1357, 1104, 754, 3616, 4673, 1469, 2356, 1767, 4638, 1353, 2418, 3173, 1290, 6225, 2175, 3616, 1039, 1277, 965, 1218, 1314, 3322, 3797, 1350, 2692, 1920, 1164, 3791, 1744, 6006, 4197, 4263, 2209, 1065, 2347, 5815, 3131, 1221, 852, 6821, 2400, 3766, 3300, 6883, 1169, 712, 3326, 965, 1218, 1314, 3322, 1762, 3616, 1039, 1277, 1079, 4638, 2810, 3141, 5326, 5868, 5843, 4280, 1469, 6205, 4408, 4280, 722, 1400, 2692, 1920, 1164, 1469, 3683, 1164, 3198, 5023, 1744, 4638, 2501, 1232, 738, 1359, 2533, 6632, 1355, 5165, 2476, 965, 1218, 1314, 3322, 4638, 837, 3381, 5745, 1741, 3633, 1762, 2810, 1920, 3616, 4673, 2768, 1447, 1744, 6568, 3124, 6956, 7270, 8111, 3299, 8143, 3189, 2821, 1114, 749, 2600, 7583, 10205, 783, 3616, 1039, 4638, 4263, 2209, 1065, 3131, 1221, 3175, 3428, 1333, 3315, 2361, 3307, 3634, 715, 5543, 1916, 5353, 6237, 2356, 1767, 2607, 2707, 2658, 5328, 6912, 1048, 4263, 2209, 1065, 965, 1218, 1314, 3322, 2898, 5330, 1355, 6997, 3797, 1350, 1168, 3291, 1920, 5745, 1741, 852, 5310, 3362, 3313, 5543, 1963, 2703, 7390, 4708, 4263, 2209, 1065, 5815, 2533, 3131, 1221, 2356, 1767, 2857, 2569, 4638, 4193, 4157, 3297, 6818, 1126, 1921, 6760, 1403, 5868, 5843, 4280, 1469, 6205, 4408, 4280, 2193, 5636, 697, 1744, 1744, 965, 3119, 4660, 4372, 5326, 5330, 3102, 1285, 5868, 5843, 4280, 1469, 6205, 4408, 4280, 671, 4684, 6158, 6371, 711, 3297, 3300, 1377, 5543, 3635, 4263, 2209, 1065, 1400, 2212, 2902, 4212, 6369, 1153, 5868, 5843, 4280, 2199, 754, 8110, 3299, 122, 3189, 1355, 1545, 126, 783, 3616, 1039, 671, 2399, 3309, 1744, 965, 6205, 4408, 4280, 738, 2199, 754, 8110, 3299, 123, 3189, 1355, 1545, 10532, 783, 3616, 1039, 676, 2399, 3309, 1744, 965, 2356, 1767, 1353, 2418, 2199, 3221, 671, 3613, 7028, 6206, 3466, 7741, 9971, 7770, 2135, 3616, 1039, 7481, 707, 2014, 5516, 4638, 6432, 3791, 6241, 6814, 1071, 2141, 3291, 6375, 782, 2857, 2552, 4638, 3221, 965, 1218, 1314, 3322, 6820, 1762, 679, 3171, 2810, 3141, 6716, 711, 3616, 1039, 1277, 5018, 676, 1920, 5307, 3845, 860, 2692, 1920, 1164, 738, 2347, 5307, 1358, 1168, 3797, 1350, 1071, 8108, 2399, 3309, 1744, 965, 680, 2548, 1744, 1744, 965, 722, 7313, 4638, 3119, 4660, 4372, 1164, 2345, 8111, 3299, 8114, 3189, 1285, 5635, 3616, 1039, 3837, 6858, 809, 3341, 4638, 3173, 7770, 2218, 6825, 1765, 1905, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 1, 2, 0, 2, 3, 0, 1, 2, 3, 3, 3, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 1, 2, 3, 3, 0, 2, 0, 1, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 0, 1, 1, 2, 3, 3, 3, 3, 0, 2, 3, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 3, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 1, 1, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 1, 1, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 1, 2, 3, 3, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 3, 3, 0, 2, 3, 0, 1, 2, 3, 0, 1, 2, 0, 2, 0, 1, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 3, 3, 3, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 1, 2, 0, 2, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 1, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3 ]
[ 101, 3726, 6395, 677, 6444, 7471, 1566, 5635, 704, 2595, 6397, 5277, 4680, 3403, 12163, 1039, 3173, 3857, 6568, 5307, 6380, 127, 3299, 130, 3867, 2622, 3726, 6395, 2199, 7471, 2270, 1566, 6983, 9263, 9105, 11054, 6397, 5277, 4507, 1121, 2898, 1285, 5635, 704, 2595, 4680, 3403, 817, 4507, 11431, 1039, 6444, 7770, 5635, 12163, 1039, 3726, 6395, 2900, 7471, 1566, 6981, 1394, 2972, 2408, 1501, 4277, 5032, 4526, 2990, 1285, 1164, 3883, 2356, 1767, 819, 7583, 771, 6852, 3635, 1357, 2533, 2398, 6130, 852, 2400, 679, 7564, 3309, 3688, 1164, 2898, 5330, 2810, 2476, 1728, 1062, 1385, 3313, 3341, 8110, 2399, 7415, 704, 2990, 1285, 704, 4999, 772, 1501, 5310, 3354, 2843, 1304, 2356, 1767, 819, 7583, 3726, 6395, 1398, 3198, 2199, 7471, 1566, 8166, 9455, 2399, 4659, 3844, 677, 6444, 9959, 8157, 1353, 3216, 772, 1501, 1285, 5277, 6772, 7564, 3309, 4415, 2682, 3867, 6589, 2571, 6862, 1908, 5722, 1350, 4925, 4372, 678, 6444, 3726, 6395, 7028, 4509, 6421, 5500, 143, 5500, 704, 2595, 4680, 3403, 817, 4507, 8211, 1039, 782, 3696, 2355, 677, 6444, 5635, 12584, 1039, 782, 3696, 2355, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 0, 1, 2, 0, 2, 3, 3, 3, 0, 1, 2, 3 ]
[ 101, 3119, 6397, 5500, 691, 833, 1415, 1104, 5387, 1048, 7357, 3236, 1744, 5401, 1059, 3189, 6649, 11758, 3173, 3857, 6568, 5307, 6380, 130, 3299, 8162, 3189, 3867, 2622, 3219, 3189, 1744, 5401, 5500, 691, 2832, 4873, 1920, 833, 2999, 3236, 5310, 3362, 1415, 1104, 5387, 1048, 7357, 3236, 5466, 855, 791, 3189, 1744, 5401, 4510, 1690, 791, 3189, 856, 2458, 1400, 924, 2898, 856, 855, 7448, 5782, 2779, 5635, 3119, 4669, 1744, 5401, 4510, 1690, 6649, 11758, 2845, 8821, 3949, 1039, 2768, 769, 8503, 8157, 783, 3949, 1039, 1906, 1358, 1068, 3800, 4638, 1744, 5401, 5500, 691, 4294, 1166, 1920, 833, 8143, 3189, 128, 3198, 2146, 2357, 5310, 3362, 1744, 5401, 1920, 5500, 691, 7942, 1045, 6168, 2990, 1139, 4638, 1220, 6379, 7370, 749, 1357, 3867, 5869, 752, 833, 1872, 1355, 2956, 3326, 2533, 809, 6858, 6814, 1912, 1071, 800, 6379, 3428, 3118, 2898, 4372, 1772, 856, 754, 1353, 2190, 4372, 5276, 124, 702, 4636, 1146, 4157, 5869, 752, 2229, 712, 2375, 7357, 3236, 5869, 752, 1350, 1199, 2600, 6161, 2101, 671, 672, 1772, 2533, 809, 4522, 818, 3614, 6816, 1355, 6134, 6397, 6389, 2769, 6206, 6397, 6389, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3 ]
[ 101, 702, 5500, 3249, 3885, 3772, 2356, 4991, 677, 8108, 3189, 1772, 5296, 1358, 1168, 3219, 1915, 5401, 5500, 1920, 3885, 4638, 1164, 1962, 3867, 2622, 1173, 4080, 791, 3189, 143, 5500, 6663, 4958, 7770, 2458, 5052, 4415, 2231, 2972, 1139, 4638, 671, 5143, 1154, 3124, 5032, 1164, 1962, 711, 5500, 2356, 976, 1914, 2990, 897, 749, 4415, 4507, 3772, 2356, 7770, 2458, 130, 702, 4157, 4669, 7481, 677, 702, 5500, 3249, 3885, 3772, 2900, 4684, 2970, 4991, 677, 8108, 3189, 1772, 5296, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 1, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3 ]
[ 101, 704, 4767, 3779, 2972, 1285, 1920, 4669, 1400, 2356, 793, 3300, 677, 6121, 4958, 7313, 5326, 3219, 3189, 1920, 3885, 722, 1400, 791, 3189, 697, 2356, 1044, 2829, 1400, 2813, 1439, 2160, 2388, 7448, 5782, 6624, 1232, 4669, 704, 4767, 3779, 7942, 7032, 5023, 3352, 1779, 6624, 1232, 2487, 1232, 3772, 5341, 2900, 3119, 4669, 677, 3885, 9677, 8152, 4157, 1071, 704, 704, 1744, 4767, 3779, 4638, 6567, 4346, 6809, 9746, 8129, 4157, 3867, 2622, 7481, 677, 4507, 754, 5401, 5468, 996, 1920, 715, 6579, 743, 1744, 965, 4638, 3867, 2622, 2471, 1355, 6858, 6573, 5610, 5515, 2569, 5991, 5401, 1039, 2190, 3616, 1039, 5023, 712, 6206, 6573, 2355, 3726, 4372, 1139, 4385, 1920, 2388, 678, 6649, 5294, 5276, 2356, 1767, 3779, 817, 8131, 3189, 1920, 2388, 7604, 1285, 128, 5635, 3680, 3446, 8246, 5401, 1039, 722, 677, 2400, 1158, 678, 791, 2399, 809, 3341, 3297, 7770, 4669, 704, 1469, 3119, 4669, 817, 3419, 5294, 5276, 1555, 1501, 769, 3211, 2792, 7942, 7032, 3309, 6573, 817, 3419, 8131, 3189, 738, 1920, 3885, 8409, 1358, 3634, 3867, 2622, 2512, 1510, 4767, 3779, 2458, 7023, 1469, 7942, 7032, 1106, 4159, 3352, 1779, 1139, 4385, 1920, 2388, 677, 3885, 3300, 1213, 1765, 2972, 1285, 749, 1920, 4669, 2900, 3144, 791, 3189, 702, 5500, 678, 6649, 2157, 3144, 3209, 3227, 1914, 754, 677, 3885, 2157, 3144, 2356, 1767, 5310, 3338, 749, 6825, 5330, 1914, 3189, 4638, 3249, 3885, 6121, 2658, 2900, 3403, 5500, 4638, 677, 3885, 3633, 1962, 2973, 2844, 749, 702, 5500, 4638, 2487, 1232, 6444, 3146, 1920, 2207, 7478, 6237, 4881, 3175, 7481, 124, 3299, 7361, 1545, 5500, 6237, 4881, 3144, 7030, 1762, 6825, 5330, 697, 1453, 1121, 2208, 1400, 678, 1453, 2199, 833, 3300, 2207, 2388, 1726, 1285, 6369, 3300, 10938, 8159, 783, 5500, 7361, 1545, 5500, 2199, 6237, 4881, 677, 2356, 3837, 6858, 6772, 3315, 1453, 4638, 10436, 8144, 783, 5500, 1872, 1217, 749, 8257, 8144, 783, 5500, 6421, 5102, 1164, 4958, 3867, 2622, 671, 2428, 2193, 5636, 4669, 704, 702, 5500, 1139, 4385, 6772, 1920, 4638, 5815, 1164, 1726, 1402, 1327, 1213, 4507, 754, 1925, 6121, 3219, 1921, 1762, 1062, 2458, 2356, 1767, 2875, 3403, 1355, 6121, 8389, 783, 1039, 124, 3299, 3309, 1925, 4873, 1355, 6121, 7030, 680, 677, 3613, 2898, 2398, 1355, 6121, 817, 1469, 704, 3403, 3119, 4660, 4372, 6825, 5330, 5018, 1061, 3613, 680, 677, 3309, 2898, 2398, 2356, 1767, 7564, 6369, 1925, 6121, 2199, 754, 3315, 1453, 3314, 678, 6444, 2100, 3621, 1114, 1906, 7032, 4372, 1920, 4669, 1286, 1400, 1139, 4385, 1920, 2388, 677, 2813, 6624, 1232, 2825, 3318, 7481, 677, 1920, 4669, 1164, 4500, 4669, 704, 7448, 5782, 3867, 1265, 5815, 1164, 5040, 4772, 6432, 3209, 2356, 1767, 1905, 754, 2487, 1232, 4307, 2578, 2768, 769, 7030, 6825, 5330, 1724, 702, 769, 3211, 3189, 1905, 754, 6772, 7770, 3717, 2398, 3772, 2356, 1762, 9393, 8679, 8279, 783, 722, 7313, 2356, 1767, 2768, 769, 3833, 6645, 852, 679, 4556, 4312, 1439, 3633, 2382, 4638, 817, 7030, 6981, 1394, 126, 3189, 8108, 3189, 8114, 3189, 1772, 5296, 1403, 677, 3118, 3053, 5500, 817, 10851, 8197, 8168, 8334, 5023, 2825, 3318, 2900, 3403, 1439, 7032, 1349, 722, 1400, 4638, 1914, 1928, 2961, 1154, 1159, 3309, 4905, 4905, 6839, 6496, 6134, 3209, 1920, 4669, 1400, 2356, 793, 3300, 677, 6121, 4958, 7313, 3315, 1453, 3221, 1403, 677, 4960, 4788, 4638, 671, 1453, 5500, 2900, 6825, 5330, 758, 1921, 1920, 3885, 3772, 5341, 2900, 1453, 3885, 2388, 128, 809, 677, 126, 1453, 8108, 1453, 8113, 1453, 1772, 5296, 1439, 1914, 1928, 2961, 1154, 3118, 3053, 5500, 817, 1400, 2356, 5326, 5330, 4692, 3885, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 1, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 3, 0, 1, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 3, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3 ]
[ 101, 724, 3265, 6820, 2170, 5688, 1400, 793, 7444, 6474, 2708, 4415, 6568, 1453, 2845, 683, 3408, 868, 5442, 2697, 2640, 3152, 8166, 2399, 4638, 3297, 1400, 671, 1921, 2356, 1767, 7448, 5782, 1103, 7770, 3300, 2661, 3187, 7372, 1765, 3119, 1139, 749, 671, 3418, 704, 7345, 5296, 6633, 1232, 680, 3219, 3189, 7564, 3844, 1825, 3315, 4685, 1398, 1213, 2428, 677, 4526, 6631, 7564, 3309, 702, 5500, 1439, 4385, 3249, 3885, 2229, 7481, 2356, 1767, 5303, 754, 5314, 749, 1914, 3144, 2832, 6598, 5442, 671, 702, 1039, 3190, 5273, 1259, 3146, 860, 677, 4692, 3772, 2900, 1086, 2428, 3119, 1908, 10347, 3146, 3144, 1068, 1366, 3189, 153, 5296, 677, 3119, 1139, 676, 3418, 2419, 6956, 5273, 5296, 4764, 3309, 2356, 1767, 1139, 4385, 1403, 1962, 4638, 5728, 1928, 852, 3221, 7390, 4708, 2900, 3144, 4638, 677, 1285, 2768, 769, 7030, 3313, 5543, 2533, 1168, 3300, 3126, 3123, 1920, 1353, 3216, 4764, 3309, 1079, 2356, 1767, 1346, 680, 1353, 2486, 4638, 4178, 2658, 2400, 679, 1922, 7770, 1217, 677, 1453, 758, 4638, 1353, 2486, 1914, 4507, 1825, 7032, 7028, 797, 4638, 3326, 7028, 5500, 1355, 6629, 886, 782, 5468, 2682, 1168, 1825, 7032, 1403, 3341, 3300, 2399, 3314, 1068, 1366, 3198, 7313, 4157, 976, 2356, 966, 4638, 739, 2679, 6821, 3418, 704, 7345, 5296, 4638, 1419, 7032, 7030, 1963, 862, 6820, 966, 2533, 6225, 2175, 2259, 3314, 2399, 2170, 5688, 1400, 2356, 1767, 793, 7444, 4522, 671, 819, 6474, 2708, 5288, 6225, 6818, 3309, 6624, 1232, 5632, 10189, 8158, 678, 6649, 809, 3341, 2356, 1767, 1762, 11173, 8904, 9723, 8129, 7353, 6818, 5335, 2898, 749, 6818, 8149, 702, 769, 3211, 3189, 4638, 3566, 4669, 7448, 5782, 8110, 3299, 8149, 3189, 4788, 855, 678, 6121, 1400, 6878, 1168, 1184, 3309, 2990, 4850, 4638, 7028, 6206, 3118, 3053, 5296, 10864, 9595, 8740, 8159, 6825, 5296, 4638, 3118, 3053, 6821, 7027, 1139, 4385, 1353, 2853, 3315, 1762, 2658, 4415, 722, 704, 852, 11173, 8904, 9723, 8129, 2398, 1378, 5307, 6814, 8149, 702, 769, 3211, 3189, 7448, 5782, 4916, 5168, 749, 1920, 7030, 4638, 1947, 4286, 5040, 4772, 6821, 7027, 2190, 5500, 2900, 677, 6121, 3354, 2768, 7028, 6206, 7349, 1213, 1762, 2356, 1767, 3313, 4960, 4788, 11173, 8904, 9723, 8129, 2398, 1378, 7028, 2552, 10938, 8129, 1184, 793, 1372, 5543, 2496, 1353, 2853, 4692, 2521, 2825, 3318, 7481, 677, 1453, 758, 955, 1221, 3326, 7028, 5500, 4638, 7415, 860, 1355, 1213, 1920, 4669, 5125, 4802, 1765, 3119, 754, 8933, 8538, 8156, 4157, 3633, 1962, 1358, 7349, 754, 3736, 2617, 8176, 5296, 7349, 1213, 4157, 6821, 7027, 5543, 1415, 3300, 3126, 4960, 4788, 2199, 2768, 711, 678, 1453, 7028, 6206, 2825, 3318, 4692, 4157, 1217, 677, 4764, 3309, 1079, 1920, 4669, 1358, 8108, 3189, 5296, 1469, 11173, 8904, 9723, 8129, 2398, 1378, 7028, 2552, 10938, 8129, 4638, 1327, 1169, 5688, 1400, 1920, 4669, 677, 6121, 7410, 2428, 6772, 1920, 5445, 671, 3190, 1920, 4669, 4764, 3309, 1079, 679, 5543, 2501, 2768, 3300, 3126, 4960, 4788, 2199, 833, 6848, 2885, 5326, 5330, 1403, 678, 2192, 2823, 3173, 4638, 3118, 3053, 3313, 3341, 4638, 7028, 6206, 3118, 3053, 4157, 1762, 8108, 3299, 129, 3189, 5375, 1366, 11253, 8129, 1469, 3736, 2617, 8245, 5296, 3118, 3053, 11251, 8129, 7353, 6818, 2356, 1767, 2552, 4415, 6237, 3358, 8108, 3299, 129, 3189, 6663, 4958, 5375, 1366, 3221, 4507, 1825, 7032, 7028, 797, 4638, 3326, 7028, 5500, 1355, 6629, 4638, 671, 3797, 677, 1285, 6121, 2658, 4638, 6629, 4157, 2247, 754, 1423, 1220, 5375, 1366, 1963, 3362, 6821, 702, 5375, 1366, 6158, 6133, 5023, 754, 1825, 7032, 1947, 4286, 5632, 2346, 1762, 4680, 1184, 4638, 860, 1169, 678, 1139, 4385, 6821, 4905, 2658, 1105, 3221, 6206, 2824, 1358, 2523, 1920, 1327, 1213, 4638, 1728, 3634, 1963, 3362, 4764, 3309, 2356, 1767, 1139, 4385, 678, 6121, 8108, 3299, 129, 3189, 4638, 6663, 4958, 5375, 1366, 2199, 2768, 711, 1914, 4958, 1352, 3175, 751, 1932, 4638, 7028, 4157, 6821, 7027, 1377, 5543, 1139, 4385, 671, 2137, 1353, 2486, 852, 3221, 2825, 3318, 7481, 1146, 3358, 3297, 5303, 2356, 1767, 7028, 6206, 3118, 3053, 4157, 793, 2199, 1726, 1168, 11251, 8904, 9352, 8129, 671, 5296, 3198, 7313, 1453, 3309, 1146, 3358, 8163, 2399, 122, 3299, 7028, 6206, 3198, 7313, 6760, 2835, 4157, 1762, 122, 3299, 8123, 3189, 1469, 122, 3299, 8176, 3189, 6821, 7027, 6963, 3221, 856, 855, 6760, 2835, 4157, 10189, 8158, 2458, 1993, 4638, 6444, 3146, 2523, 1377, 5543, 6848, 2885, 1762, 677, 6835, 753, 5442, 722, 671, 4638, 3198, 7313, 4157, 5310, 3338, 1963, 3362, 122, 3299, 8123, 3189, 711, 3146, 702, 3797, 3667, 6444, 3146, 4638, 5310, 3338, 4157, 6929, 720, 122, 3299, 8176, 3189, 2523, 1377, 5543, 3221, 671, 702, 753, 3613, 1726, 2968, 4638, 3613, 856, 4157, 1353, 722, 122, 3299, 8123, 3189, 1377, 5543, 3221, 678, 6649, 6854, 704, 4638, 3613, 856, 4157, 4680, 1184, 702, 782, 967, 1403, 754, 5018, 671, 4905, 2658, 1105, 4638, 1377, 5543, 2595, 6772, 1920, 2207, 1453, 3309, 5688, 1941, 1146, 3358, 7564, 6369, 5688, 1400, 2458, 4669, 671, 1453, 1079, 2356, 1767, 6820, 2199, 1762, 10971, 8129, 7353, 6818, 5335, 2898, 4764, 3257, 7770, 855, 7448, 5782, 6633, 1232, 852, 3221, 1453, 3314, 2772, 5018, 753, 1453, 2458, 1993, 2199, 1139, 4385, 1403, 678, 4638, 969, 4960, 4788, 6624, 1232, 7028, 6206, 3198, 7313, 4157, 1068, 3800, 122, 3299, 127, 3189, 678, 1286, 2772, 122, 3299, 8108, 3189, 4764, 5296, 3082, 868, 5442, 1377, 6848, 2885, 1762, 122, 3299, 127, 3189, 2772, 122, 3299, 8108, 3189, 7353, 6818, 1139, 2229, 6225, 3307, 5023, 2521, 678, 671, 702, 3198, 7313, 4157, 4638, 1168, 3341, 2496, 4197, 1920, 1453, 3309, 5688, 1941, 677, 8113, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 1, 1, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 1, 2, 3, 0, 2, 0, 2, 3, 3, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 0, 2, 0, 1, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 0, 2, 3, 3, 3, 0, 2, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 3, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 3, 3, 0, 2, 0, 1, 2, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 1, 2, 3, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3 ]
[ 101, 1744, 3805, 1409, 2128, 2456, 6379, 6864, 856, 3119, 7415, 2456, 6392, 7213, 6121, 1744, 3805, 1409, 2128, 1744, 7354, 3330, 836, 2456, 6121, 8166, 2399, 4638, 689, 5327, 5016, 1394, 2769, 812, 1469, 2356, 1767, 4638, 7564, 3309, 6421, 6121, 5018, 125, 2108, 2428, 4638, 2884, 1906, 3118, 1139, 4685, 2496, 754, 1059, 2399, 2884, 1906, 3118, 1139, 4638, 8272, 712, 6206, 2495, 1728, 754, 6421, 6121, 7151, 2190, 6587, 3621, 1469, 6134, 1912, 689, 1218, 7023, 1357, 749, 3291, 6474, 2708, 4638, 1184, 4750, 2595, 4638, 2884, 1906, 3124, 5032, 5445, 679, 3221, 6598, 772, 6574, 7030, 2626, 1265, 4638, 928, 1384, 6421, 6121, 4638, 6587, 3621, 1872, 6862, 1728, 6573, 2355, 5165, 5367, 2974, 3177, 4638, 2898, 5330, 5445, 3123, 5353, 2400, 5353, 6237, 6421, 6121, 4638, 6598, 3315, 1327, 1213, 2769, 812, 7564, 3309, 6421, 6121, 4507, 754, 1086, 6084, 6598, 2130, 2768, 1072, 1906, 2141, 1213, 1762, 8163, 9023, 2399, 924, 2898, 8164, 4638, 3836, 2622, 3683, 4372, 679, 5543, 2961, 7370, 5401, 1744, 7213, 6121, 1762, 6237, 4881, 1400, 5326, 5330, 1121, 2898, 6421, 6121, 5500, 819, 5401, 1744, 7213, 6121, 2496, 1184, 2898, 3300, 2456, 6121, 8667, 8152, 4638, 5500, 819, 684, 7219, 2137, 3309, 2199, 1762, 8163, 2399, 129, 3299, 8162, 3189, 1168, 3309, 5401, 1744, 7213, 6121, 3766, 3300, 1346, 680, 2456, 6121, 8166, 2399, 4638, 897, 5500, 5445, 3221, 2199, 897, 5500, 3326, 1139, 1545, 5314, 3909, 7716, 7234, 2769, 812, 7564, 3309, 5401, 1744, 7213, 6121, 1377, 5543, 1762, 7219, 2137, 3309, 5310, 3338, 1400, 6852, 3635, 1121, 2898, 1071, 754, 2456, 6121, 4638, 3326, 4660, 2769, 812, 2199, 1062, 1385, 8932, 8144, 2399, 3680, 5500, 1112, 1164, 1146, 1166, 677, 6444, 8162, 1469, 8273, 4680, 3403, 817, 677, 6444, 5635, 10205, 3949, 1039, 809, 5341, 1394, 1353, 3216, 809, 1355, 3216, 6772, 2571, 4638, 2797, 5330, 6589, 3119, 1057, 1872, 7270, 123, 3299, 819, 1469, 125, 3299, 819, 4638, 1217, 2622, 809, 1350, 6772, 7770, 4638, 928, 6587, 2768, 3315, 969, 6392, 2769, 812, 677, 6444, 4680, 3403, 817, 1168, 10205, 3949, 1039, 809, 1353, 3216, 677, 6444, 4638, 4659, 1164, 7564, 3844, 4685, 2496, 754, 8163, 2399, 7564, 3844, 2356, 4659, 4372, 8692, 945, 2356, 1112, 4372, 8130, 945, 2400, 5335, 2898, 3119, 7415, 6397, 5277, 2456, 6121, 711, 2769, 812, 1920, 1798, 1744, 3300, 7213, 6121, 704, 4638, 7674, 6848, 2456, 6379, 2832, 6598, 5442, 6864, 856, 3119, 7415, 3614, 6816, 1355, 6134, 6397, 6389, 2769, 6206, 6397, 6389, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 1, 1, 2, 0, 2, 3, 3, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 1, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 0, 2, 0, 1, 2, 3, 3, 0, 1, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3 ]
[ 101, 160, 9071, 6598, 772, 6566, 965, 6134, 1181, 1121, 4680, 3403, 2130, 2768, 676, 1146, 722, 753, 3173, 3857, 6568, 5307, 6380, 1266, 776, 3198, 7313, 1453, 753, 3241, 7313, 3867, 2622, 5722, 3419, 1065, 4640, 2157, 7213, 6121, 160, 9071, 7674, 2375, 2809, 6121, 2135, 1380, 5881, 5705, 3862, 3172, 4294, 10913, 9977, 8996, 6134, 4850, 6421, 6121, 1181, 1121, 6598, 772, 6566, 965, 6134, 4638, 4680, 3403, 2347, 2130, 2768, 749, 1920, 5276, 676, 1146, 722, 753, 1762, 5739, 1744, 678, 6379, 7368, 6568, 3124, 1999, 1447, 833, 162, 12551, 11442, 8449, 9479, 11104, 12729, 4638, 671, 3613, 6382, 6413, 704, 3862, 3172, 4294, 6134, 4850, 6421, 6121, 4638, 7028, 5299, 6822, 2428, 3683, 7564, 3309, 6206, 2571, 2400, 684, 6134, 4850, 800, 7564, 6369, 3313, 3341, 124, 1168, 125, 2399, 1079, 3124, 2424, 3300, 2523, 1914, 3322, 833, 1139, 1545, 160, 9071, 5500, 4873, 2400, 794, 704, 5815, 1164, 3862, 3172, 4294, 6820, 6134, 4850, 800, 6371, 711, 3766, 3300, 2553, 6206, 1139, 1378, 3173, 4276, 3419, 2861, 3172, 3172, 5881, 3419, 2209, 3791, 3428, 12535, 11881, 10814, 10050, 12183, 1728, 711, 6821, 3416, 671, 702, 3791, 3428, 2199, 6833, 886, 7213, 6121, 1146, 4989, 2124, 812, 4638, 2832, 6598, 7213, 6121, 6956, 7305, 800, 6134, 4850, 1259, 2886, 7440, 3294, 1040, 2475, 1469, 6437, 3481, 5384, 1046, 1762, 1079, 1920, 6956, 1146, 4788, 772, 7213, 6121, 6963, 3221, 1372, 5307, 5852, 2832, 6598, 7213, 6121, 689, 1218, 2772, 7439, 1545, 7213, 6121, 689, 1218, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 2, 0, 1, 2, 3, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 1, 1, 2, 3 ]
[ 101, 7350, 7027, 2349, 2349, 6901, 7414, 5988, 2634, 1545, 2919, 129, 4959, 8113, 1039, 1068, 7350, 7027, 2349, 2349, 8146, 9105, 8156, 6158, 7414, 5988, 2634, 1545, 2797, 677, 2898, 5500, 5500, 817, 3297, 3173, 2593, 2919, 8460, 8161, 2845, 10457, 1039, 6649, 4959, 8113, 1039, 1068, 2768, 769, 7030, 711, 10713, 8159, 674, 5500, 3868, 6598, 8966, 8161, 783, 1039, 2458, 2356, 1400, 7350, 7027, 2349, 2349, 2497, 2533, 1914, 2797, 1920, 2797, 769, 3211, 4685, 928, 718, 7414, 5988, 1121, 2898, 4638, 5500, 819, 677, 3352, 711, 2356, 837, 7414, 5988, 1121, 2898, 4638, 678, 7361, 817, 9776, 1039, 5307, 3845, 6858, 2347, 3300, 10926, 3340, 6397, 6389, 2769, 6206, 6397, 6389, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 1, 1, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 1, 1, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 0, 1, 2, 3, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3 ]
[ 101, 162, 8334, 8206, 677, 3299, 1398, 2421, 7218, 1545, 7583, 1872, 7270, 123, 3173, 3857, 6568, 5307, 6380, 1266, 776, 3198, 7313, 130, 3299, 123, 3189, 3241, 7313, 3867, 2622, 2835, 2807, 2421, 6817, 5852, 1555, 162, 8334, 8206, 8588, 8415, 8334, 8206, 2146, 2357, 129, 3299, 819, 1398, 2421, 7218, 1545, 7583, 1872, 7270, 123, 4526, 856, 754, 2356, 1767, 7564, 3309, 2970, 1358, 3739, 3481, 6662, 6851, 6444, 3389, 4638, 1146, 3358, 2360, 2398, 1772, 7564, 3309, 6421, 1062, 1385, 2496, 3299, 1398, 2421, 7218, 1545, 7583, 1872, 7270, 8125, 2779, 5635, 129, 3299, 8143, 3189, 4638, 1724, 1453, 6421, 1062, 1385, 2600, 7218, 1545, 7583, 1872, 7270, 127, 794, 677, 2399, 1398, 3309, 4638, 8121, 783, 5401, 1039, 1872, 5635, 8126, 783, 5401, 1039, 791, 2399, 1184, 129, 702, 3299, 6421, 1062, 1385, 1398, 2421, 7218, 1545, 7583, 1872, 7270, 127, 2600, 7218, 1545, 7583, 1872, 7270, 8108, 794, 677, 2399, 1398, 3309, 4638, 8632, 783, 5401, 1039, 1872, 5635, 9149, 783, 5401, 1039, 162, 8334, 8206, 7028, 4509, 5018, 676, 6568, 2108, 3680, 5500, 4659, 1164, 7564, 3309, 711, 8352, 9332, 5401, 1146, 1146, 3358, 2360, 2398, 1772, 7564, 3309, 711, 8426, 5401, 1146, 6421, 1062, 1385, 7564, 6369, 130, 3299, 819, 1398, 2421, 7218, 1545, 7583, 678, 7360, 122, 5635, 1872, 7270, 122, 2694, 6224, 3614, 6816, 1355, 6134, 6397, 6389, 2769, 6206, 6397, 6389, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 1, 2, 3, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 3, 0, 1, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 3, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3 ]
[ 101, 1184, 8371, 3330, 2170, 3217, 6158, 2831, 2391, 1400, 704, 1744, 3481, 3360, 2971, 5500, 744, 6496, 3319, 2134, 3152, 6626, 3949, 677, 2356, 788, 671, 2399, 1914, 4638, 3198, 7313, 1384, 4917, 704, 1744, 676, 1920, 4900, 5852, 5632, 4197, 1086, 4495, 3360, 1350, 782, 2339, 3481, 3360, 5852, 6817, 1555, 722, 671, 4638, 704, 1744, 3481, 3360, 2971, 5500, 3300, 7361, 1062, 1385, 12292, 8471, 11054, 678, 4917, 704, 1744, 3481, 3360, 7390, 4708, 1184, 8371, 3330, 2170, 3217, 4638, 6158, 2831, 5445, 2458, 1993, 3274, 7463, 1139, 1079, 6956, 6817, 5852, 4638, 3921, 744, 3297, 6818, 671, 702, 3299, 1905, 754, 3221, 7478, 5811, 6796, 4638, 6466, 1730, 722, 704, 4680, 1184, 6421, 1062, 1385, 793, 1905, 754, 977, 4277, 4307, 2578, 124, 3299, 123, 3189, 704, 1744, 3481, 3360, 1355, 2357, 1062, 1440, 3330, 2170, 3217, 1728, 3868, 2066, 4668, 4500, 1062, 3621, 8283, 674, 782, 3696, 2355, 754, 8163, 2399, 123, 3299, 8125, 3189, 6158, 704, 1744, 6586, 2336, 4689, 1062, 2128, 2229, 2807, 4522, 680, 3634, 1398, 3198, 124, 3299, 125, 3189, 7676, 3949, 6395, 4664, 833, 1403, 7676, 3949, 7770, 5023, 3791, 7368, 2900, 4917, 3330, 2170, 3217, 1350, 1071, 1399, 678, 1059, 6598, 2971, 5500, 1062, 1385, 8237, 10958, 10117, 8810, 11436, 8417, 9889, 8798, 9755, 11066, 9370, 9538, 8168, 678, 4917, 8237, 10958, 10117, 8810, 794, 752, 1079, 2391, 769, 3211, 1071, 1399, 678, 5276, 125, 783, 3949, 1039, 6598, 772, 6158, 1108, 5310, 5018, 671, 6568, 5307, 3189, 2845, 6381, 5442, 5307, 6814, 1914, 3189, 4638, 6444, 3389, 6407, 1745, 2999, 2458, 3330, 2170, 3217, 1762, 1079, 1765, 6158, 2831, 1350, 1762, 7676, 3949, 6158, 2971, 1440, 5520, 1400, 4638, 4696, 4685, 1079, 2391, 769, 3211, 6158, 3389, 7676, 3949, 6395, 4664, 833, 124, 3299, 125, 3189, 1062, 1440, 6395, 4664, 833, 1403, 7676, 3949, 7770, 5023, 3791, 7368, 2900, 4917, 3330, 2170, 3217, 794, 752, 1079, 2391, 769, 3211, 1071, 1399, 678, 5276, 125, 783, 3949, 1039, 6598, 772, 2199, 5326, 5330, 6158, 1108, 5310, 5445, 3634, 3198, 4638, 3330, 2170, 3217, 1316, 2347, 754, 697, 3189, 1184, 1762, 6586, 2336, 6158, 1062, 2128, 3322, 1068, 2807, 4522, 2807, 4522, 4638, 1333, 1728, 1156, 1369, 3300, 7391, 2658, 3868, 2066, 4668, 4500, 1062, 3621, 8283, 674, 782, 3696, 2355, 5018, 671, 6568, 5307, 3189, 2845, 6381, 5442, 749, 6237, 1168, 3330, 2170, 3217, 6158, 7676, 3949, 6395, 4664, 833, 2900, 2971, 4638, 1333, 1728, 5357, 6629, 754, 122, 3299, 2419, 704, 1744, 3481, 3360, 4638, 2144, 6369, 3322, 3354, 3684, 7716, 2014, 1762, 2218, 2779, 5635, 8166, 2399, 8110, 3299, 8176, 3189, 4638, 6568, 3124, 2399, 2428, 4638, 6568, 1218, 6822, 6121, 2144, 6369, 3198, 1355, 4385, 679, 1394, 6226, 2658, 1105, 6395, 4664, 833, 7390, 1400, 792, 1057, 6444, 3389, 2400, 1403, 7676, 3949, 7770, 5023, 3791, 7368, 4509, 6435, 707, 3198, 2487, 1169, 808, 4197, 5445, 2218, 1762, 3330, 2170, 3217, 691, 4970, 752, 1355, 1184, 697, 1453, 800, 1316, 1762, 7676, 3949, 2356, 1767, 677, 1920, 2797, 1121, 2898, 3191, 5500, 1947, 4385, 6818, 125, 783, 3949, 1039, 6818, 3189, 704, 1744, 3481, 3360, 2832, 6598, 5442, 1068, 5143, 6956, 7770, 2141, 1957, 1894, 1403, 3315, 2845, 6381, 5442, 2824, 6371, 1079, 2391, 769, 3211, 680, 6981, 5500, 3300, 1068, 5143, 6598, 3160, 3227, 4850, 8237, 10958, 10117, 8810, 754, 122, 3299, 8110, 3189, 6858, 6814, 3942, 2802, 6395, 1171, 809, 3680, 5500, 11728, 3949, 1039, 6981, 1545, 2797, 1928, 2898, 3300, 4638, 9031, 783, 5500, 3191, 5500, 1947, 4385, 5276, 11425, 865, 783, 3949, 1039, 7218, 1545, 5500, 819, 5276, 1304, 2600, 5500, 3315, 12512, 6821, 763, 5500, 819, 1071, 1400, 6158, 6981, 1545, 750, 1914, 2157, 3322, 3354, 1350, 1825, 7032, 852, 2218, 1762, 3330, 2170, 3217, 6981, 1545, 1400, 4638, 5018, 753, 3189, 2772, 1358, 6981, 5500, 677, 2356, 769, 3211, 2512, 1510, 704, 1744, 3481, 3360, 4638, 5500, 817, 4312, 3786, 856, 6224, 11542, 3949, 1039, 6649, 4959, 6981, 1545, 817, 11728, 3949, 1039, 3297, 1920, 6649, 2388, 711, 12116, 6981, 1545, 1400, 3330, 2170, 3217, 2898, 5500, 7030, 4507, 8381, 8159, 1121, 5635, 11003, 3330, 2170, 3217, 1920, 2388, 1121, 2898, 4638, 1333, 1728, 2213, 679, 3926, 3504, 2190, 754, 3330, 2170, 3217, 1762, 6981, 5500, 677, 1079, 2391, 769, 3211, 4638, 5301, 5688, 704, 1744, 3481, 3360, 2213, 3313, 3300, 818, 862, 6432, 3791, 3315, 2845, 6381, 5442, 738, 1914, 3613, 5636, 4510, 6421, 1062, 1385, 852, 3221, 1772, 3766, 3300, 5815, 2533, 818, 862, 1726, 2418, 852, 6381, 5442, 1355, 4385, 1762, 3634, 3613, 6981, 5500, 722, 1184, 3198, 818, 8371, 4638, 3330, 2170, 3217, 1316, 1762, 1079, 1765, 7574, 7574, 7770, 6444, 778, 4685, 2400, 809, 704, 1744, 3481, 3360, 4638, 1399, 721, 1762, 756, 1298, 1469, 6586, 2336, 5023, 1765, 5041, 6370, 749, 671, 763, 2832, 6598, 2692, 1403, 1291, 6379, 711, 6421, 1062, 1385, 4638, 5500, 817, 5852, 6863, 1164, 1962, 2772, 711, 6981, 5500, 6863, 1232, 2496, 3198, 3330, 2170, 3217, 779, 5632, 2372, 7339, 1343, 6586, 2336, 6821, 763, 3341, 5632, 7676, 3949, 4638, 1825, 7032, 1400, 3341, 679, 2208, 1346, 680, 749, 122, 3299, 819, 3330, 2170, 3217, 4900, 782, 1062, 1385, 8237, 10958, 10117, 8810, 4638, 6981, 5500, 671, 855, 4761, 2658, 782, 1894, 6851, 7463, 1071, 2141, 3330, 2170, 3217, 1762, 7676, 3949, 6598, 3315, 2356, 1767, 677, 7270, 6153, 1587, 5659, 4638, 1219, 6839, 3193, 3300, 6381, 2497, 3315, 2845, 6381, 5442, 1355, 4385, 3193, 1762, 8301, 2399, 2399, 788, 8153, 2259, 4638, 3330, 2170, 3217, 1139, 818, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 0, 1, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 1, 2, 3, 3, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 3, 3, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 3, 3, 3, 3, 0, 2, 0, 1, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 0, 2, 0, 1, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 1, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 3, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 0, 2, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 1, 2, 0, 1, 1, 2, 3, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 1, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 0, 1, 2, 0, 2, 3, 3, 0, 1, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 1, 2, 0, 2, 3, 3, 3, 3, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 1, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 2, 0, 2, 3 ]
[ 101, 3124, 5032, 2817, 1220, 678, 2356, 1767, 2483, 1232, 4669, 3146, 2229, 6956, 3833, 6645, 1744, 1039, 6395, 1171, 4692, 4958, 3851, 1555, 6395, 1171, 4692, 1914, 3960, 6568, 6395, 1171, 4692, 2398, 7213, 3777, 6395, 1171, 4692, 2398, 691, 3175, 6395, 1171, 4692, 1914, 1963, 3362, 4500, 7030, 1265, 1728, 5162, 3341, 5440, 2175, 5500, 2900, 6624, 1232, 6929, 720, 4680, 1184, 3300, 1164, 4638, 3221, 5307, 3845, 1908, 5722, 7478, 2382, 3209, 4802, 4495, 772, 6598, 3160, 4495, 3833, 6598, 3160, 817, 3419, 6963, 6822, 1057, 1168, 3885, 817, 6633, 1232, 2496, 704, 684, 1139, 1366, 2487, 1226, 1908, 5722, 7478, 2382, 6631, 7564, 3309, 1762, 5500, 2900, 2454, 5330, 8114, 1453, 1772, 5296, 677, 1285, 6858, 6887, 3766, 3300, 1355, 4495, 3121, 1359, 2658, 1105, 678, 752, 816, 1173, 4080, 793, 2199, 5314, 702, 5500, 2372, 3341, 3322, 833, 3418, 2945, 3851, 1555, 6395, 1171, 4638, 1825, 7032, 797, 855, 4664, 3844, 3563, 1798, 974, 5500, 1798, 2458, 3123, 2466, 1825, 7032, 679, 1419, 2900, 3144, 1798, 4638, 2398, 1772, 797, 855, 1762, 677, 1453, 2207, 2388, 678, 7360, 4507, 1184, 671, 1453, 4638, 8428, 9624, 678, 7360, 5635, 8428, 8949, 2398, 1772, 797, 855, 678, 7360, 10385, 1188, 7370, 1392, 5102, 6598, 772, 2356, 966, 3797, 1220, 2190, 1825, 7032, 797, 855, 4638, 2512, 1510, 1825, 7032, 3146, 860, 6134, 4385, 711, 712, 1220, 1121, 797, 9659, 1071, 704, 6848, 2885, 2207, 2388, 1121, 797, 4638, 1825, 7032, 3683, 7028, 6818, 8183, 5445, 2190, 797, 855, 4638, 6444, 3146, 2388, 2428, 738, 4685, 2190, 6772, 2207, 1825, 7032, 6825, 5330, 697, 1453, 3946, 1469, 6444, 797, 6432, 3209, 3146, 860, 677, 2190, 754, 1400, 2356, 4692, 3791, 6772, 974, 704, 2595, 3772, 2356, 677, 1453, 3119, 2845, 754, 8114, 3189, 1772, 5296, 722, 677, 5445, 3918, 2768, 2900, 1905, 754, 8183, 3189, 1772, 5296, 722, 678, 1728, 3634, 2356, 1767, 3146, 860, 793, 1905, 754, 2483, 1232, 722, 704, 794, 2825, 3318, 2501, 2578, 677, 4692, 697, 2356, 4680, 1184, 1905, 754, 6818, 754, 677, 1285, 3186, 2501, 4638, 1277, 1818, 1079, 3797, 1220, 2900, 3144, 1762, 677, 6758, 5296, 7353, 6818, 1358, 1327, 3209, 3227, 2356, 1767, 6817, 6121, 4294, 2519, 3227, 4850, 6818, 3309, 2523, 7410, 3030, 5564, 6821, 671, 1277, 7313, 7444, 6206, 2487, 6444, 4638, 3221, 4680, 1184, 8114, 3189, 1469, 8183, 3189, 1772, 5296, 2970, 6818, 4685, 769, 7564, 6369, 3313, 3341, 8110, 1453, 1079, 2356, 1767, 2199, 2192, 2823, 4960, 4788, 3175, 1403, 3315, 1453, 3221, 2131, 6225, 5307, 3845, 3144, 2945, 4638, 2166, 7415, 2847, 7463, 3309, 8110, 3299, 819, 4638, 671, 5143, 1154, 2131, 6225, 5307, 3845, 3144, 2945, 2199, 7355, 5330, 1062, 2357, 6822, 1139, 1366, 3144, 2945, 1469, 7213, 6121, 928, 6587, 3144, 2945, 2347, 5307, 4372, 1044, 2847, 7463, 6134, 3209, 5307, 3845, 1825, 3315, 7481, 793, 4197, 1905, 754, 5679, 1962, 4638, 2612, 1908, 704, 3634, 1912, 677, 2356, 1062, 1385, 2399, 2845, 738, 6852, 3933, 1062, 2357, 1071, 704, 679, 726, 778, 4157, 852, 3221, 2131, 6225, 5307, 3845, 1469, 677, 2356, 1062, 1385, 689, 5327, 1962, 6760, 5016, 1394, 1920, 1914, 3144, 2832, 6598, 5442, 4638, 7564, 3309, 738, 2347, 5307, 6158, 2356, 1767, 2792, 1353, 3216, 2769, 812, 6371, 711, 7448, 5782, 2356, 1469, 2398, 6130, 2356, 2199, 1762, 6772, 7270, 3198, 7313, 1079, 2768, 711, 2356, 1767, 4638, 712, 6206, 6817, 6121, 4294, 4157, 1728, 3634, 2418, 6421, 2828, 7028, 4157, 3123, 1762, 2832, 6598, 5032, 4526, 1469, 6981, 5390, 3175, 7481, 5125, 6848, 6121, 689, 1469, 702, 5500, 1398, 3198, 2190, 1392, 3175, 7481, 3300, 1377, 5543, 6631, 7564, 3309, 4638, 1728, 5162, 924, 2898, 6356, 2664, 3313, 3341, 3124, 5032, 3175, 1403, 4638, 6848, 2885, 677, 2199, 1762, 924, 1872, 7270, 680, 6444, 3146, 5307, 3845, 1872, 7270, 5310, 3354, 809, 1350, 5335, 2898, 4289, 817, 1469, 6598, 772, 817, 3419, 4937, 2137, 680, 7344, 3632, 6858, 6573, 5610, 5515, 722, 7313, 868, 1139, 2398, 6130, 4764, 3309, 3124, 5032, 2199, 3291, 3300, 1377, 5543, 7023, 4500, 3144, 7030, 1798, 5445, 7478, 817, 3419, 1798, 4638, 6444, 2971, 2797, 3667, 794, 1072, 860, 3124, 5032, 2809, 6121, 677, 2769, 812, 6371, 711, 928, 6587, 2398, 4937, 1872, 7270, 1377, 5543, 833, 5307, 1325, 671, 702, 1300, 2463, 6814, 4923, 7151, 2190, 1277, 1818, 5307, 3845, 1173, 4080, 1217, 2571, 1824, 5509, 1469, 1355, 2245, 3173, 1069, 2773, 4526, 772, 689, 809, 1350, 5326, 5330, 2454, 5330, 3867, 6589, 4685, 1068, 1173, 4080, 3124, 5032, 4638, 3175, 1403, 679, 833, 1359, 1265, 2356, 1767, 6235, 2428, 4692, 676, 702, 5520, 4895, 966, 2533, 1068, 3800, 671, 3221, 143, 5500, 3173, 2458, 2787, 3144, 1469, 2898, 797, 6572, 2787, 3144, 4638, 5520, 4895, 793, 1762, 2898, 5330, 753, 3221, 7030, 817, 1068, 5143, 4638, 5520, 4895, 676, 3221, 6632, 1355, 4556, 4312, 4638, 704, 2207, 2356, 966, 5500, 4873, 1469, 1920, 4669, 5500, 6624, 1232, 4638, 5520, 4895, 680, 143, 5500, 6624, 1232, 4685, 1068, 2595, 7478, 2382, 7770, 4638, 10211, 1872, 6862, 1762, 1343, 2399, 8110, 3299, 819, 1139, 4385, 749, 1726, 5862, 5310, 1394, 11393, 1315, 2199, 2571, 6862, 677, 4959, 9511, 821, 689, 4659, 1164, 1762, 3313, 3341, 7481, 707, 678, 3998, 6821, 2772, 6387, 2692, 1456, 4708, 7599, 3419, 6760, 2940, 793, 2199, 3221, 702, 5353, 2714, 6814, 4923, 2825, 3318, 6624, 1232, 4692, 704, 2207, 3352, 2900, 2347, 1158, 3173, 7770, 3772, 3918, 8209, 1469, 8145, 8418, 8189, 1772, 7481, 707, 3175, 1403, 2595, 6848, 2885, 5445, 3326, 7028, 5500, 704, 1765, 772, 2347, 5307, 6624, 2483, 7213, 6121, 738, 1762, 8114, 1453, 1772, 5296, 7353, 6818, 2261, 2261, 1377, 1314, 1728, 3634, 5500, 2900, 4638, 3175, 1403, 6848, 2885, 2199, 1357, 1104, 754, 4767, 1265, 5468, 6858, 1469, 1171, 1555, 5023, 3326, 7028, 5500, 4638, 6134, 4385, 2769, 812, 6371, 711, 6818, 3309, 1925, 4873, 1164, 4372, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 1, 2, 0, 1, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 3, 3, 0, 1, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 1, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3 ]
[ 101, 3211, 2150, 2159, 159, 9864, 8169, 3173, 6226, 3300, 1221, 754, 5500, 2356, 4638, 2898, 5330, 4937, 2137, 1355, 2245, 3173, 3857, 6568, 5307, 6380, 130, 3299, 125, 3189, 678, 1286, 3867, 2622, 7151, 2190, 1744, 2157, 1912, 3726, 5052, 4415, 2229, 1355, 2357, 4638, 1394, 3419, 1862, 1912, 3322, 3354, 2832, 6598, 5442, 1862, 1079, 6395, 1171, 2832, 6598, 1912, 3726, 5052, 4415, 6226, 2137, 2519, 3724, 2692, 6224, 4943, 704, 1744, 4852, 833, 4906, 2110, 7368, 7032, 6084, 4777, 4955, 2792, 4777, 4955, 1447, 3211, 2150, 2159, 2190, 6413, 3173, 3857, 6568, 5307, 3198, 6134, 4850, 3634, 715, 5314, 1744, 1912, 6598, 7032, 6822, 1057, 704, 1744, 2990, 897, 749, 912, 1164, 4638, 3940, 6887, 3300, 1221, 754, 5500, 2356, 4638, 2898, 5330, 4937, 2137, 1355, 2245, 3211, 2150, 2159, 6134, 4850, 2519, 3724, 2692, 6224, 4943, 3123, 1920, 749, 1744, 1912, 6598, 7032, 6822, 1057, 704, 1744, 4638, 6226, 3563, 704, 7270, 3309, 159, 9864, 8169, 3322, 3354, 4638, 2832, 6598, 3315, 7032, 7219, 2137, 3309, 5367, 4764, 5635, 124, 702, 3299, 4638, 6226, 2137, 886, 1071, 6598, 7032, 6822, 1139, 3291, 1217, 912, 1164, 738, 3300, 1221, 754, 924, 2844, 2832, 6598, 5442, 4638, 6598, 7032, 2128, 1059, 2519, 3724, 2692, 6224, 4943, 3315, 6716, 4638, 1355, 2357, 2190, 704, 1744, 5500, 2356, 3221, 702, 1962, 4638, 928, 1384, 3300, 1221, 754, 5500, 2356, 4638, 2898, 5330, 4937, 2137, 1355, 2245, 3211, 2150, 2159, 6820, 6134, 4850, 704, 1744, 4638, 5500, 2356, 4680, 1184, 2190, 686, 4518, 4638, 5500, 2356, 2512, 1510, 738, 7478, 2382, 1920, 704, 1744, 3634, 715, 738, 3300, 1221, 754, 2990, 1285, 2832, 6598, 5442, 2190, 1744, 7354, 2356, 1767, 4638, 928, 2552, 1398, 3198, 6858, 6814, 3634, 715, 1440, 6401, 686, 4518, 704, 1744, 3221, 3124, 2424, 3633, 1762, 1059, 1213, 809, 6626, 914, 6822, 704, 1744, 809, 1350, 1059, 4413, 5500, 2356, 4638, 4937, 2137, 1469, 1355, 2245, 7434, 2051, 1355, 5632, 1266, 776, 2347, 3300, 10926, 3340, 6397, 6389, 2769, 6206, 6397, 6389, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 1, 2, 3, 3, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3 ]
[ 101, 3616, 1039, 1925, 6121, 2199, 6579, 743, 3616, 1039, 1277, 3124, 2424, 1469, 4900, 782, 965, 1171, 6226, 3563, 2521, 2137, 3173, 1290, 5381, 2571, 6380, 3616, 1039, 1925, 6121, 8108, 3189, 6432, 2199, 833, 6579, 743, 3616, 1039, 1277, 3124, 2424, 1469, 4900, 782, 965, 1171, 852, 6579, 743, 6226, 3563, 2521, 2137, 6821, 3221, 711, 7344, 3632, 2361, 5572, 965, 1218, 1314, 3322, 5913, 2454, 4638, 671, 7555, 7028, 6206, 715, 2974, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3 ]
[ 101, 7032, 3308, 7345, 809, 10838, 783, 3949, 1039, 1545, 4289, 689, 750, 6823, 691, 1355, 2245, 3173, 3857, 6568, 5307, 6380, 8111, 3299, 8132, 3189, 3867, 2622, 7032, 3308, 7345, 680, 6823, 691, 1355, 2245, 809, 10838, 783, 3949, 1039, 2990, 3193, 2130, 2768, 3300, 1068, 1139, 1545, 1071, 855, 754, 736, 7987, 5273, 3173, 1741, 6125, 122, 5635, 8111, 8139, 1384, 1765, 4669, 4638, 769, 3211, 7032, 3308, 7345, 12210, 9136, 1355, 2357, 1062, 1440, 4917, 680, 6823, 691, 1355, 2245, 8241, 8852, 2990, 3193, 2130, 2768, 3300, 1068, 1139, 1545, 1071, 855, 754, 736, 7987, 5273, 3173, 1741, 6125, 122, 5635, 8111, 8139, 1384, 1765, 4669, 4638, 769, 3211, 4289, 689, 809, 10838, 783, 3949, 1039, 2768, 769, 7564, 6369, 1377, 754, 791, 2399, 2419, 1057, 6572, 3146, 702, 7555, 4680, 1394, 6369, 1765, 4669, 7481, 4916, 5276, 11868, 8129, 2398, 3175, 2223, 4385, 711, 671, 2394, 3517, 7770, 124, 2231, 4638, 857, 2125, 1350, 1765, 7215, 4289, 689, 7564, 6369, 1377, 2456, 3517, 7481, 7481, 4916, 5276, 8284, 674, 2398, 3175, 2223, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 0, 2, 3, 3, 0, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 0, 1, 1, 2, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 1, 2, 3 ]
[ 101, 8811, 4663, 3959, 127, 6649, 977, 5500, 4868, 3136, 2956, 818, 3917, 4899, 4578, 1927, 1283, 674, 1146, 3358, 782, 1894, 6371, 711, 5023, 2521, 8811, 4663, 3959, 4638, 2418, 6421, 6820, 3300, 5735, 2397, 702, 6649, 977, 818, 3917, 4899, 4638, 2938, 1927, 2199, 3680, 1921, 809, 4636, 674, 1039, 6369, 8811, 4663, 3959, 1908, 4277, 6825, 5330, 127, 1921, 6649, 977, 3247, 2845, 6380, 6381, 5442, 7357, 4437, 1762, 143, 5500, 1132, 3625, 7574, 1941, 722, 3198, 2399, 3885, 2388, 6631, 6814, 8298, 4638, 8182, 2399, 5018, 671, 1920, 4281, 5500, 8811, 4663, 3959, 8241, 9647, 8156, 1316, 5326, 5330, 6158, 2196, 3647, 1762, 6649, 977, 3352, 677, 6821, 3221, 8811, 4663, 3959, 5632, 1343, 2399, 2399, 2419, 1908, 4277, 809, 3341, 4638, 5018, 127, 702, 6649, 977, 3634, 3198, 3297, 6944, 7315, 4638, 782, 2607, 2586, 6206, 3144, 782, 1920, 3136, 2956, 818, 3917, 4899, 749, 6821, 855, 1728, 8811, 4663, 3959, 5445, 6568, 2168, 3274, 1872, 4638, 5500, 4868, 3136, 2956, 924, 2127, 844, 6369, 6572, 7481, 2938, 1927, 5276, 8394, 8158, 674, 1039, 8811, 4663, 3959, 4638, 1355, 6839, 1380, 2218, 3221, 671, 702, 4868, 6413, 1343, 2399, 6421, 5500, 5500, 817, 794, 8214, 1039, 4960, 4197, 4312, 6707, 5635, 8114, 1039, 2340, 1381, 3634, 1400, 738, 671, 4684, 5335, 2898, 1762, 8113, 1039, 5635, 8240, 1039, 7770, 855, 3797, 1220, 1762, 1355, 2357, 749, 2877, 809, 124, 3683, 122, 4638, 3683, 891, 6158, 4663, 3959, 7185, 5503, 8241, 9495, 8144, 1429, 3119, 1394, 2400, 4638, 1062, 1440, 1400, 1728, 2940, 5500, 3683, 891, 856, 754, 1920, 6956, 1146, 3322, 3354, 2832, 6598, 5442, 4638, 7564, 3309, 8811, 4663, 3959, 754, 8182, 2399, 8110, 3299, 8153, 3189, 1908, 4277, 1400, 912, 671, 6662, 4312, 6649, 5635, 3219, 3189, 3119, 4669, 3198, 5500, 817, 711, 10543, 8160, 1039, 3219, 1921, 8811, 4663, 3959, 2768, 769, 7030, 788, 711, 12225, 8279, 5500, 2940, 2797, 4372, 12329, 6134, 3209, 1920, 7030, 6598, 7032, 3617, 6845, 7410, 1139, 8811, 4663, 3959, 4638, 678, 6649, 3221, 3633, 2382, 6133, 6649, 1146, 3358, 782, 1894, 4917, 1762, 3766, 3300, 743, 4669, 4638, 2658, 1105, 678, 5023, 2521, 8811, 4663, 3959, 4638, 2418, 6421, 6820, 3300, 5735, 2397, 702, 6649, 977, 1315, 2199, 1429, 3119, 1394, 2400, 8811, 4663, 3959, 4638, 4663, 3959, 7185, 5503, 3219, 1921, 1398, 3416, 3119, 5815, 749, 6825, 5330, 127, 702, 6649, 977, 1071, 5500, 817, 738, 1762, 6821, 1063, 1921, 7027, 794, 8188, 1914, 1039, 4638, 7770, 855, 6649, 5635, 3219, 3189, 3119, 4669, 3198, 4638, 8248, 8144, 1039, 928, 6809, 6395, 1171, 1146, 3358, 2360, 6134, 4850, 4663, 3959, 7185, 5503, 4638, 1394, 4415, 5500, 817, 1920, 5636, 1762, 8164, 5635, 8208, 1039, 1963, 3362, 2902, 4212, 1071, 1062, 2357, 4638, 3680, 124, 5500, 8811, 4663, 3959, 5500, 819, 2940, 122, 5500, 4663, 3959, 7185, 5503, 5500, 819, 4638, 2940, 5500, 6369, 1153, 6369, 5050, 8811, 4663, 3959, 5500, 817, 2418, 2496, 1762, 8122, 5635, 8115, 1039, 793, 4197, 3300, 679, 2207, 4638, 678, 6649, 4958, 7313, 8811, 4663, 3959, 5500, 817, 4638, 3274, 6649, 738, 6375, 1728, 8811, 4663, 3959, 1898, 1399, 7903, 6629, 4638, 818, 3917, 4899, 4638, 6568, 2168, 1920, 2388, 5367, 3717, 1062, 2458, 6598, 3160, 3227, 4850, 2779, 5635, 8182, 2399, 130, 3299, 8114, 3189, 818, 3917, 4899, 793, 4197, 2898, 3300, 5500, 3121, 1908, 4277, 3198, 4638, 8989, 9050, 674, 5500, 8811, 4663, 3959, 2902, 3634, 6369, 5050, 8811, 4663, 3959, 5500, 817, 1762, 127, 702, 769, 3211, 3189, 1079, 794, 8176, 1039, 6649, 5635, 10543, 8160, 1039, 678, 6649, 749, 8460, 8148, 1039, 6821, 738, 2692, 1456, 4708, 818, 3917, 4899, 127, 1921, 6572, 7481, 2938, 1927, 2347, 6809, 8394, 8158, 674, 1039, 679, 6814, 966, 2533, 818, 3917, 4899, 2412, 2401, 4638, 3221, 3295, 680, 1071, 671, 1398, 1139, 4385, 1762, 1184, 1282, 1920, 3837, 6858, 5500, 5500, 691, 1399, 1296, 704, 4638, 1988, 2094, 7357, 5897, 5897, 3193, 2347, 1920, 2388, 2837, 1545, 2797, 704, 5500, 4873, 2768, 1216, 6719, 6814, 749, 6821, 6762, 678, 6649, 4685, 1068, 2845, 6887, 8182, 2399, 4281, 4220, 5500, 4669, 4157, 8811, 4663, 3959, 2399, 3885, 2388, 6874, 8298, 5736, 5023, 1288, 2399, 4663, 3959, 7185, 5503, 1394, 2400, 8811, 4663, 3959, 3175, 3428, 791, 2999, 3236, 697, 3959, 1394, 2400, 2647, 3428, 2212, 1812, 5862, 2137, 124, 5500, 8811, 4663, 3959, 2940, 122, 5500, 4663, 7185, 8811, 4663, 3959, 5500, 691, 1391, 1514, 2349, 755, 818, 3917, 4899, 6568, 2168, 1920, 2388, 5367, 3717, 2940, 5500, 7564, 3428, 2212, 1812, 5862, 2137, 697, 4663, 3959, 5500, 4873, 1453, 758, 6629, 1908, 4277, 8811, 4663, 3959, 1297, 1307, 3717, 1068, 5468, 769, 3211, 1914, 6611, 6818, 697, 783, 2400, 1057, 4663, 3959, 7185, 5503, 3175, 3428, 1159, 2137, 8811, 4663, 3959, 4385, 7032, 6848, 2885, 3326, 7410, 6392, 6369, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 3, 0, 1, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 1, 2, 3, 0, 2, 3, 3, 3, 3, 0, 2, 3, 0, 2, 3, 0, 1, 2, 3, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 3, 3, 3, 3, 3, 3, 0, 1, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 3, 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 3, 3, 3, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 0, 2, 0, 1, 1, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 3, 3, 3, 3, 3, 3, 0, 1, 2, 0, 1, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 3, 3, 0, 2, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3 ]
[ 101, 811, 2519, 1265, 5275, 6847, 2356, 7770, 2458, 124, 8326, 8148, 7564, 4659, 1400, 9898, 1112, 1164, 3291, 831, 8141, 6568, 2399, 5018, 671, 2108, 2428, 2347, 2814, 755, 711, 4659, 4638, 811, 2519, 1265, 5275, 150, 5500, 791, 3193, 6847, 2356, 7770, 2458, 10189, 5635, 9565, 3949, 1039, 2768, 769, 10431, 674, 5500, 811, 2519, 1265, 5275, 143, 5500, 8298, 9446, 8148, 9435, 4385, 738, 3885, 12091, 5635, 8203, 8158, 1039, 782, 3696, 2355, 6651, 6617, 1398, 689, 1358, 1071, 5018, 753, 2108, 2428, 2497, 2533, 3291, 831, 4659, 1164, 4638, 3867, 2622, 2990, 2920, 1728, 6421, 1062, 1385, 2146, 2357, 1728, 2533, 4660, 754, 4659, 1164, 4958, 7313, 3121, 1587, 1350, 1181, 1121, 2768, 3315, 2974, 3177, 1071, 7564, 6369, 1062, 1385, 791, 2399, 677, 1288, 2399, 2199, 2141, 4385, 4659, 1164, 684, 5018, 753, 2108, 2428, 1112, 1164, 3883, 1962, 754, 5018, 671, 2108, 2428, 6598, 3160, 3227, 4850, 811, 2519, 1265, 5275, 8182, 2399, 677, 1288, 2399, 1112, 755, 2938, 782, 3696, 2355, 10864, 8156, 783, 1039, 8141, 2399, 5018, 671, 2108, 2428, 2497, 2533, 12937, 9240, 674, 1039, 4638, 1112, 1164, 3883, 2668, 3300, 2356, 1767, 6397, 6389, 6371, 711, 1744, 1079, 5471, 6994, 689, 1184, 3250, 793, 4197, 679, 3209, 3306, 5445, 684, 1333, 3779, 817, 3419, 6624, 1232, 3797, 1220, 2772, 808, 811, 2519, 1265, 5275, 3885, 2388, 3300, 7361, 5445, 3297, 3173, 1744, 7354, 3779, 817, 3175, 7481, 2832, 6598, 5442, 2190, 5401, 1744, 5307, 3845, 1908, 5722, 4638, 928, 2552, 1121, 2483, 5294, 5276, 1555, 769, 2792, 1061, 3299, 6768, 6574, 856, 4800, 1333, 3779, 3309, 6573, 1394, 5276, 5310, 5050, 817, 6649, 10870, 5401, 1039, 5635, 3680, 3446, 8347, 9148, 5401, 1039, 6649, 2388, 8234, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 2, 3, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 1, 2, 0, 1, 2, 3, 3, 0, 2, 3, 3, 0, 1, 1, 2, 0, 2, 3, 3, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 3, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3 ]
[ 101, 3193, 4669, 712, 1213, 1112, 3837, 1139, 6874, 8188, 783, 2779, 3632, 704, 1286, 3119, 4669, 677, 6395, 2900, 3144, 3119, 754, 11525, 8311, 8157, 4157, 678, 6649, 8398, 8393, 3918, 6395, 2768, 2900, 3119, 754, 8752, 9216, 9159, 4157, 678, 6649, 9883, 8311, 3772, 2356, 2768, 769, 8966, 9402, 783, 3918, 2356, 2768, 769, 8426, 9050, 783, 697, 2356, 702, 5500, 678, 6649, 2157, 3144, 3300, 130, 2768, 809, 677, 3300, 5682, 4771, 7023, 1093, 3360, 1093, 5790, 5023, 3352, 1779, 7566, 3885, 2356, 1767, 6598, 7032, 6822, 1139, 2356, 1767, 712, 1213, 6598, 7032, 1112, 3837, 1403, 8424, 9624, 783, 1039, 1071, 704, 4958, 1928, 1999, 1297, 11332, 8160, 674, 2797, 1914, 1928, 1999, 743, 8965, 8159, 674, 2797, 1914, 4958, 2837, 1327, 8149, 945, 3352, 1779, 6598, 7032, 6822, 1139, 712, 1213, 6598, 7032, 1112, 743, 1057, 1184, 758, 1399, 4638, 3352, 1779, 1146, 1166, 3221, 1093, 3360, 8615, 783, 6588, 3211, 8155, 8161, 783, 1555, 689, 6825, 7219, 8150, 8158, 783, 7378, 4487, 12329, 783, 1093, 5790, 12329, 783, 712, 1213, 6598, 7032, 1112, 1297, 1139, 1184, 758, 1399, 4638, 3352, 1779, 1146, 1166, 3221, 2791, 1765, 772, 10987, 8158, 783, 7213, 6121, 8438, 8156, 783, 683, 4500, 6392, 1906, 10278, 783, 2339, 4923, 2456, 5029, 8416, 8160, 783, 3300, 5682, 7032, 2247, 8192, 8144, 783, 3352, 1779, 702, 5500, 6598, 7032, 3772, 3918, 2356, 1767, 712, 1213, 6598, 7032, 1112, 3837, 1057, 1184, 758, 1399, 4638, 5500, 4873, 1146, 1166, 3221, 156, 2949, 2768, 11705, 783, 156, 1409, 3633, 10924, 783, 156, 691, 6763, 6770, 8832, 783, 7384, 2398, 7770, 4906, 8866, 783, 156, 1290, 2292, 6631, 8135, 783, 3772, 3918, 2356, 1767, 712, 1213, 6598, 7032, 1112, 3837, 1139, 1184, 758, 1399, 4638, 5500, 4873, 1146, 1166, 3221, 704, 1744, 2140, 2128, 13302, 783, 674, 4906, 10796, 8279, 783, 704, 1744, 1266, 6756, 13171, 783, 704, 1744, 1298, 6756, 12591, 783, 2875, 1555, 7213, 6121, 12215, 783, 3082, 4669, 2456, 6379, 791, 1921, 677, 1286, 1920, 4669, 7448, 5782, 677, 3885, 2456, 6379, 1068, 3800, 1093, 3360, 6588, 3211, 1555, 689, 6825, 7219, 5023, 1358, 712, 1213, 6598, 7032, 7028, 4157, 1068, 3800, 4638, 1501, 4905, 3291, 1914, 1350, 3198, 6598, 6380, 1068, 3800, 3173, 3857, 6395, 1171, 2544, 1300, 3614, 6816, 1355, 6134, 6397, 6389, 2769, 6206, 6397, 6389, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 3, 3, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 3, 3, 3, 0, 2, 3, 3, 3, 0, 1, 1, 2, 3, 3, 0, 2, 0, 2, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 3, 3, 0, 2, 3, 3, 3, 0, 2, 3, 3, 0, 1, 2, 0, 2, 3, 3, 3, 0, 2, 3, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 0, 1, 1, 2, 3, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3 ]
[ 101, 1920, 4669, 5367, 7030, 7448, 5782, 5326, 5330, 1068, 3800, 3326, 7028, 5500, 1220, 1403, 2408, 2336, 1300, 928, 1300, 928, 6389, 2356, 678, 671, 769, 3211, 3189, 4692, 3885, 678, 1453, 4692, 3885, 1453, 758, 5500, 2900, 5326, 5330, 5367, 7030, 7448, 1743, 4669, 704, 753, 1061, 3126, 2418, 3300, 2792, 2848, 1928, 852, 1920, 4669, 5500, 4638, 3146, 860, 3885, 2388, 2400, 679, 1920, 2190, 754, 6421, 3352, 1779, 1400, 2356, 4638, 2898, 5330, 2595, 2832, 6598, 5442, 793, 2418, 2898, 5330, 6656, 6679, 3867, 2622, 7481, 677, 126, 3299, 8131, 3189, 704, 1744, 6395, 4664, 833, 1355, 6121, 2144, 3417, 1999, 1447, 833, 3297, 3173, 671, 3613, 833, 6379, 1066, 2144, 3417, 124, 2157, 821, 689, 4638, 6084, 6598, 4509, 6435, 1071, 704, 697, 2157, 704, 1744, 5867, 3828, 1782, 7415, 1730, 5500, 819, 3300, 7361, 1062, 1385, 7826, 3805, 5293, 5302, 5500, 819, 3300, 7361, 1062, 1385, 5815, 6858, 6814, 1369, 671, 2157, 1744, 1045, 4510, 1690, 5500, 819, 3300, 7361, 1062, 1385, 3313, 5815, 6858, 6814, 6395, 4664, 833, 5381, 4991, 1062, 2458, 3144, 2945, 3227, 4850, 125, 3299, 122, 3189, 5635, 126, 3299, 8131, 3189, 2347, 1062, 2357, 4638, 1355, 2144, 1999, 1374, 2458, 4638, 8149, 3613, 1355, 2144, 833, 1066, 2144, 3417, 7555, 4680, 8264, 702, 1071, 704, 3313, 6858, 6814, 7555, 4680, 8111, 702, 1415, 1104, 4372, 10129, 8129, 1071, 704, 8745, 2144, 3417, 704, 3300, 8124, 6158, 1415, 6823, 6631, 1343, 2399, 1059, 2399, 9437, 8159, 4638, 1415, 1104, 4372, 794, 4680, 1184, 2356, 1767, 2658, 1105, 4692, 6006, 4197, 6818, 3309, 3173, 1825, 7032, 679, 3171, 1355, 6121, 852, 2658, 1105, 2400, 3766, 3300, 2682, 6496, 4638, 1962, 671, 763, 5439, 4277, 1825, 7032, 4638, 4509, 6579, 2658, 1105, 738, 679, 727, 6225, 1728, 3634, 2356, 1767, 6598, 7032, 7481, 2658, 1105, 898, 4197, 1905, 754, 1219, 1232, 1398, 3198, 1920, 4669, 5500, 4638, 1355, 6121, 2347, 5307, 697, 702, 3299, 6963, 3766, 2144, 2821, 749, 1377, 6224, 6818, 7348, 3667, 4664, 5052, 2231, 793, 1762, 6444, 2971, 4708, 2356, 1767, 4638, 2810, 2159, 5688, 1941, 5445, 684, 1762, 3124, 5032, 7481, 677, 2769, 812, 738, 1377, 809, 4692, 1168, 1171, 1555, 8745, 5273, 5040, 1726, 2495, 3175, 7481, 5023, 4685, 1068, 3124, 5032, 6963, 1762, 2454, 1400, 3634, 1912, 2945, 3173, 1290, 5381, 2845, 2193, 126, 3299, 8133, 3189, 704, 1744, 4510, 928, 689, 7028, 5299, 2861, 2458, 2381, 2391, 704, 1744, 4919, 1220, 6858, 928, 7415, 1730, 1062, 1385, 8133, 3189, 6858, 2845, 704, 1744, 7188, 6858, 7415, 1730, 3300, 7361, 1062, 1385, 2400, 1057, 704, 1744, 4919, 1220, 6858, 928, 7415, 1730, 1062, 1385, 2768, 711, 1071, 1059, 6598, 2094, 821, 689, 4680, 1184, 793, 2199, 924, 2898, 4685, 2190, 4324, 4989, 6817, 5852, 1071, 704, 704, 1744, 4919, 1220, 6858, 928, 7415, 1730, 1062, 1385, 5052, 4415, 2231, 738, 868, 4685, 2418, 6444, 3146, 1377, 809, 6432, 4510, 928, 7028, 5299, 4638, 2458, 1993, 3300, 1164, 754, 4510, 928, 2356, 1767, 4638, 1355, 2245, 886, 2533, 2356, 1767, 4638, 4993, 751, 6633, 754, 2398, 6130, 5445, 684, 738, 2199, 1217, 6862, 8456, 4277, 4212, 4638, 1355, 3123, 1423, 1220, 6817, 5852, 1555, 4685, 1068, 1743, 2137, 6598, 772, 2832, 6598, 1398, 3198, 2190, 754, 704, 1744, 2990, 1139, 4638, 9287, 10203, 10420, 8139, 8152, 8181, 3403, 1114, 3418, 2945, 4680, 1184, 4638, 6407, 1555, 4500, 5381, 2456, 6392, 2658, 1105, 3341, 4692, 704, 1744, 4919, 1220, 2199, 4507, 6772, 1920, 4638, 1377, 5543, 2595, 5815, 2533, 6421, 3403, 1114, 4638, 8456, 4277, 4212, 1744, 1079, 6858, 928, 6392, 1906, 1555, 2199, 5815, 2533, 3309, 2521, 2347, 719, 4638, 1355, 2245, 3322, 6878, 5445, 3867, 2622, 837, 1139, 1400, 704, 1744, 5468, 6858, 678, 1286, 7716, 677, 1062, 2357, 749, 5165, 2593, 977, 4277, 4638, 1062, 1440, 8456, 3519, 2573, 5500, 1156, 1139, 4385, 7415, 860, 7604, 1285, 4178, 4157, 3175, 7481, 1358, 5401, 1039, 1086, 1158, 3173, 856, 4638, 2512, 1510, 3315, 1453, 1744, 7354, 1333, 3779, 3309, 6573, 817, 3419, 1086, 2428, 1158, 1139, 8908, 5401, 1039, 4638, 3173, 7770, 1728, 3634, 1762, 4680, 1184, 1744, 7354, 6598, 7032, 1217, 6862, 3869, 1057, 1333, 3779, 1555, 1501, 4638, 2658, 1105, 678, 7564, 6369, 1059, 4413, 5543, 3975, 2199, 7481, 707, 3173, 671, 6762, 4638, 3885, 817, 1327, 1213, 5445, 4209, 4151, 868, 711, 1825, 4794, 5543, 3975, 1762, 3779, 817, 4788, 4636, 4638, 3173, 2972, 1213, 678, 2553, 2199, 1920, 2388, 1358, 4660, 4680, 1184, 2769, 1744, 8182, 2399, 7028, 4157, 1394, 1398, 4510, 4209, 1825, 3315, 5041, 6370, 2347, 5307, 2130, 2768, 712, 6206, 4510, 4209, 817, 3419, 3680, 1417, 677, 3885, 8108, 2340, 1381, 738, 2768, 2137, 2229, 1398, 3198, 4507, 754, 791, 2399, 809, 3341, 1744, 7354, 4209, 817, 2249, 1158, 3173, 7770, 4294, 1166, 3221, 4078, 1920, 1164, 762, 4209, 4151, 4385, 6573, 817, 3419, 3291, 3221, 671, 2428, 1158, 678, 1325, 1380, 7770, 817, 6821, 763, 1728, 5162, 6963, 2199, 2861, 1220, 8182, 2399, 4209, 4151, 677, 2356, 1062, 1385, 4638, 689, 5327, 2190, 754, 753, 5277, 2356, 1767, 677, 4638, 4209, 4151, 3352, 1779, 2501, 2768, 6772, 1920, 1164, 1962, 3634, 1912, 2769, 1744, 5307, 3845, 4638, 2571, 6862, 1355, 2245, 2190, 4209, 4151, 2501, 2768, 749, 3200, 4670, 4638, 7444, 3724, 5445, 2207, 4209, 4771, 1068, 7308, 2339, 868, 4638, 679, 3171, 2972, 6822, 1348, 6963, 2190, 4209, 4151, 817, 3419, 4638, 7770, 855, 3102, 1285, 772, 4495, 4916, 3353, 868, 4500, 1086, 1217, 677, 4209, 4151, 821, 689, 4638, 2400, 6579, 7028, 5299, 1469, 4209, 4151, 772, 689, 7216, 2454, 847, 3291, 5314, 4209, 4151, 772, 689, 2372, 3341, 7270, 3309, 4638, 1164, 1962, 1728, 3634, 2456, 6379, 2832, 6598, 5442, 1762, 3082, 868, 677, 7028, 4157, 1068, 3800, 6421, 3352, 1779, 4638, 7987, 1928, 702, 5500, 678, 671, 769, 3211, 3189, 1920, 4669, 6624, 1232, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 3, 0, 1, 2, 0, 2, 3, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 3, 0, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 3, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 1, 1, 2, 3 ]
[ 101, 3772, 2900, 7448, 5782, 678, 2968, 1944, 1403, 5375, 1366, 13223, 1146, 1400, 1920, 4669, 7448, 5782, 6624, 2483, 1403, 1184, 3309, 5375, 1366, 5445, 1343, 4680, 1184, 2356, 1767, 7599, 3419, 4638, 6760, 2940, 2400, 679, 7556, 4517, 4178, 4157, 3353, 711, 1273, 726, 6006, 4197, 856, 844, 966, 3352, 1779, 1072, 3300, 671, 2137, 4638, 7344, 2539, 2595, 2215, 1071, 3221, 1071, 704, 4638, 7213, 6121, 3352, 1779, 689, 5327, 2571, 2845, 3227, 4850, 1762, 6814, 1343, 671, 2399, 793, 4197, 924, 2898, 749, 6772, 1962, 4638, 2768, 7270, 2595, 5445, 1765, 772, 3352, 1779, 3249, 6881, 689, 5327, 738, 6772, 711, 831, 5679, 852, 1358, 1168, 3124, 5032, 6444, 2971, 4638, 1327, 1169, 5445, 6822, 3122, 2595, 679, 2487, 1728, 3634, 6821, 886, 2533, 2496, 1184, 2356, 1767, 2501, 2768, 749, 7770, 844, 966, 3352, 1779, 3796, 3773, 4788, 6162, 856, 844, 966, 3352, 1779, 6826, 6826, 7410, 809, 1423, 1220, 4638, 2219, 2217, 4307, 1105, 3291, 1914, 1350, 3198, 6598, 6380, 1068, 3800, 3173, 3857, 6395, 1171, 2544, 1300, 3614, 6816, 1355, 6134, 6397, 6389, 2769, 6206, 6397, 6389, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 1, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3 ]
[ 101, 2349, 1853, 2209, 9207, 6815, 1139, 1059, 4413, 4664, 5052, 3173, 671, 3635, 2002, 2255, 1762, 5307, 1325, 749, 5680, 5736, 4638, 6448, 1161, 680, 3164, 3181, 722, 1400, 130, 3299, 8110, 3189, 678, 1286, 8149, 1744, 1925, 6121, 1762, 4448, 1894, 3297, 5303, 671, 5636, 6858, 6814, 749, 3297, 3173, 4638, 7213, 6121, 689, 4664, 5052, 1291, 6379, 2349, 1853, 2209, 1291, 6379, 9207, 6821, 819, 1291, 6379, 1920, 2388, 2428, 1765, 2990, 1285, 749, 4664, 5052, 689, 5442, 2190, 754, 7213, 6121, 671, 5277, 3417, 2552, 6598, 3315, 4638, 3297, 856, 3683, 891, 6206, 3724, 3221, 7032, 6084, 1314, 3322, 722, 1400, 1059, 4413, 7213, 6121, 689, 4664, 5052, 860, 5143, 3121, 7484, 2792, 1357, 2533, 4638, 3297, 1920, 2768, 5327, 4685, 3683, 3291, 2487, 6444, 7213, 6121, 5632, 6716, 1079, 6956, 2971, 1169, 680, 5052, 4415, 4664, 5052, 2144, 3389, 6814, 4923, 680, 2356, 1767, 5279, 2526, 2471, 1057, 1079, 6956, 6397, 5277, 3791, 6397, 2137, 928, 4500, 7599, 7372, 809, 1350, 7674, 3613, 2471, 1057, 680, 3082, 868, 7599, 7372, 4685, 1068, 4638, 6598, 3315, 6206, 3724, 4638, 2349, 1853, 2209, 1291, 6379, 8491, 3173, 6858, 6814, 4638, 2349, 1853, 2209, 1291, 6379, 9207, 3227, 4197, 3291, 1068, 3800, 7213, 6121, 4638, 6598, 3315, 6574, 7030, 680, 2834, 1453, 3309, 2595, 7599, 7372, 4638, 5543, 1213, 1259, 2886, 6847, 1453, 3309, 6598, 3315, 4664, 5052, 2900, 3403, 3339, 3327, 4372, 1469, 3837, 1220, 2595, 2900, 3403, 4638, 6226, 2137, 6963, 3209, 3227, 1353, 3216, 1139, 1059, 4413, 1925, 6121, 2190, 3634, 3613, 1059, 4413, 7032, 6084, 1314, 3322, 2501, 2768, 680, 1355, 2245, 4638, 1333, 1728, 6822, 6121, 749, 6371, 4696, 4638, 1353, 2590, 3315, 3613, 7032, 6084, 1314, 3322, 4638, 772, 4495, 1469, 1355, 2245, 3918, 1265, 1041, 1146, 3274, 7463, 1139, 3634, 1184, 4638, 7213, 6121, 689, 4664, 5052, 860, 5143, 704, 2100, 1762, 4638, 6436, 1914, 679, 6639, 3191, 3300, 4638, 7213, 6121, 689, 4664, 5052, 6226, 1156, 704, 2190, 754, 3417, 2552, 6598, 3315, 1041, 6639, 4372, 4638, 6206, 3724, 6814, 856, 886, 2533, 7213, 6121, 860, 5143, 7410, 809, 2850, 2539, 4960, 1963, 1071, 3341, 4638, 1059, 4413, 2595, 7032, 6084, 5143, 5320, 7599, 7372, 1333, 3315, 6371, 711, 1377, 809, 3300, 3126, 1146, 3141, 7599, 7372, 4638, 6122, 4495, 7032, 6084, 2339, 1072, 1762, 3634, 3613, 7032, 6084, 1314, 3322, 704, 2400, 3313, 5543, 1355, 2916, 1071, 3126, 5543, 1353, 5445, 1762, 3378, 4905, 4923, 2428, 677, 2190, 7599, 7372, 4638, 6822, 671, 3635, 2810, 3141, 6629, 1168, 749, 2972, 3797, 1221, 4073, 4638, 868, 4500, 1728, 3634, 3193, 1762, 1343, 2399, 2399, 1159, 5401, 1744, 7213, 6121, 4664, 5052, 689, 5442, 2218, 2990, 1139, 749, 1726, 2495, 754, 3297, 711, 1333, 1993, 738, 3221, 3297, 711, 3300, 3126, 4638, 4664, 5052, 6226, 1156, 1315, 2487, 6444, 2990, 7770, 7213, 6121, 689, 4638, 3417, 2552, 6598, 3315, 1041, 6639, 4372, 809, 886, 7213, 6121, 860, 5143, 3300, 1041, 1146, 4638, 5632, 3300, 6598, 7032, 2418, 802, 1377, 5543, 1139, 4385, 4638, 5143, 5320, 2595, 7032, 6084, 7599, 7372, 1762, 6821, 4905, 2590, 6662, 4638, 2900, 2471, 678, 5401, 1744, 1762, 1343, 2399, 677, 1288, 2399, 2245, 2458, 749, 7213, 6121, 860, 5143, 1920, 6226, 3563, 4638, 1327, 1213, 3844, 6407, 2400, 809, 1327, 1213, 3844, 6407, 5310, 3362, 976, 711, 2900, 2193, 7213, 6121, 689, 6133, 1041, 3417, 2552, 6598, 3315, 4638, 2900, 2471, 6821, 671, 715, 2974, 3300, 3126, 1765, 4937, 2137, 749, 7032, 6084, 2356, 1767, 2658, 5328, 3221, 1059, 4413, 7032, 6084, 1314, 3322, 2533, 809, 6813, 6862, 5353, 6237, 4638, 7028, 6206, 1728, 5162, 679, 6814, 4507, 754, 3634, 1184, 3417, 2552, 6598, 3315, 1041, 6639, 4372, 4638, 3403, 1114, 3353, 856, 6821, 2692, 1456, 4708, 1920, 7030, 4638, 7213, 6121, 7444, 6206, 6822, 6121, 1920, 6226, 3563, 4638, 6598, 3315, 7032, 6133, 1041, 2400, 2990, 1285, 2190, 754, 3123, 6587, 1469, 2832, 6598, 2792, 7444, 6206, 4522, 1139, 4638, 6598, 3315, 2884, 1906, 3403, 1114, 6821, 3187, 4542, 2199, 1920, 2388, 7360, 856, 7213, 6121, 6609, 809, 5815, 1164, 4638, 3339, 3327, 4372, 1181, 2483, 1071, 4659, 1164, 5543, 1213, 2400, 2190, 4764, 3309, 5500, 817, 6134, 4385, 2501, 2768, 679, 1164, 2512, 1510, 1728, 5445, 6901, 679, 2208, 1744, 2157, 4638, 7213, 6121, 1353, 2190, 2349, 1853, 2209, 1291, 6379, 9207, 1920, 2388, 2990, 1285, 749, 2190, 754, 7213, 6121, 689, 4638, 671, 5277, 3417, 2552, 6598, 3315, 1041, 6639, 4372, 4638, 6206, 3724, 3717, 2398, 3173, 4638, 3403, 1114, 6206, 3724, 7213, 6121, 1762, 129, 2399, 1079, 1146, 7348, 3667, 2199, 3249, 6858, 5500, 3354, 2768, 4638, 671, 5277, 6598, 3315, 6206, 3724, 2990, 1285, 5635, 128, 671, 5277, 6598, 3315, 1041, 6639, 4372, 4638, 3403, 1114, 1156, 6392, 2137, 711, 127, 1071, 704, 7213, 6121, 7444, 924, 4522, 679, 856, 754, 7213, 6121, 7599, 7372, 8132, 4638, 6598, 3315, 5353, 1103, 6598, 7032, 1963, 3313, 5543, 6809, 1168, 6206, 3724, 7213, 6121, 3836, 2622, 1726, 6579, 5500, 4873, 809, 1350, 1355, 3123, 1946, 7032, 5023, 6121, 711, 1772, 2199, 1358, 1168, 698, 3419, 7361, 1169, 680, 3634, 1398, 3198, 1291, 6379, 6820, 6206, 3724, 7213, 6121, 924, 3300, 11900, 4638, 6847, 1453, 3309, 4664, 5052, 6598, 3315, 809, 3300, 3126, 7344, 5745, 1762, 5307, 3845, 5246, 5783, 3198, 3309, 6814, 2428, 3123, 6587, 5445, 772, 4495, 1920, 7030, 4638, 7391, 2595, 1776, 6572, 7599, 7372, 2400, 2376, 1221, 7213, 6121, 1762, 5307, 3845, 678, 6121, 1453, 3309, 2834, 1140, 755, 2938, 6821, 671, 6226, 1156, 6006, 4197, 3313, 5543, 6809, 2768, 3297, 5303, 671, 5636, 852, 1316, 3227, 4850, 1139, 7213, 6121, 4664, 5052, 689, 5442, 3291, 1217, 7028, 6228, 1217, 2487, 7213, 6121, 860, 5143, 1762, 7556, 1862, 678, 4638, 6598, 3315, 5353, 1103, 996, 1906, 6821, 3187, 4542, 711, 3313, 3341, 6822, 671, 3635, 4638, 7032, 6084, 4664, 5052, 6226, 1156, 934, 6370, 2900, 3209, 749, 3175, 1403, 3634, 3613, 2349, 1853, 2209, 1291, 6379, 151, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 3, 0, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 1, 1, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 1, 2, 3, 3, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 1, 1, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 1, 1, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 3 ]
[ 101, 3918, 1921, 7716, 3119, 6579, 5500, 3326, 3187, 7030, 3885, 977, 3918, 1921, 7716, 1358, 2877, 8251, 8159, 1039, 5500, 2137, 1403, 1355, 6121, 679, 6631, 6814, 9508, 8279, 674, 5500, 3119, 6579, 677, 3862, 1921, 7716, 8203, 5500, 3326, 4638, 2512, 1510, 3219, 3189, 6421, 5500, 4684, 2970, 809, 3885, 977, 2458, 4669, 791, 3189, 3193, 4669, 6421, 5500, 2454, 5330, 2487, 1232, 4294, 2519, 4684, 2970, 809, 3885, 977, 2458, 4669, 3885, 977, 1905, 2196, 1296, 7770, 6809, 8115, 674, 2797, 1825, 3315, 7481, 677, 677, 3862, 1921, 7716, 794, 752, 3890, 3253, 3227, 4850, 1690, 1350, 4685, 1068, 3332, 3160, 6392, 1906, 772, 1501, 4638, 6392, 6369, 1169, 6863, 7218, 1545, 5023, 689, 1218, 2881, 3300, 4638, 5018, 8208, 807, 12177, 11097, 8168, 4495, 772, 5296, 4495, 772, 704, 2207, 2223, 2189, 772, 1501, 4638, 3297, 7770, 807, 3144, 4495, 772, 5296, 711, 4680, 1184, 2769, 1744, 5018, 671, 3340, 8208, 807, 4495, 772, 5296, 1062, 1385, 7564, 3844, 8166, 2399, 1469, 8163, 2399, 677, 3862, 1921, 7716, 2141, 4385, 1112, 1164, 3883, 7583, 1146, 1166, 711, 8202, 674, 1039, 1469, 8623, 674, 1039, 677, 3862, 1921, 7716, 8141, 2399, 677, 1288, 2399, 755, 2938, 7583, 711, 9246, 783, 1039, 8182, 2399, 1469, 8201, 2399, 755, 2938, 7583, 1146, 1166, 711, 8787, 783, 1039, 1469, 8466, 8650, 8158, 674, 1039, 2347, 3300, 10926, 3340, 6397, 6389, 2769, 6206, 6397, 6389, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 0, 1, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 1, 2, 3, 3, 0, 2, 3, 3, 3, 3, 3, 0, 1, 2, 0, 2, 3, 3, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3 ]
[ 101, 3123, 7030, 677, 3122, 10930, 4157, 3449, 2458, 753, 2428, 5543, 1415, 2768, 1216, 7032, 6395, 7560, 7309, 1155, 1213, 697, 2356, 5500, 2900, 791, 3189, 7770, 2458, 7770, 6624, 2207, 7345, 677, 3122, 3772, 2900, 1059, 1921, 1439, 4385, 7448, 5782, 3102, 1285, 4638, 2578, 1232, 3297, 5303, 677, 3885, 12189, 8158, 4157, 3119, 754, 11023, 9290, 8157, 4157, 1158, 1139, 3315, 6762, 1353, 2486, 3119, 4669, 3173, 7770, 3918, 2768, 2900, 6624, 1232, 4526, 2483, 1059, 1921, 5335, 2898, 7770, 855, 7448, 5782, 4638, 3419, 2229, 697, 2356, 2768, 769, 6822, 671, 3635, 3123, 1920, 3772, 2356, 2768, 769, 9565, 8148, 783, 771, 1158, 1139, 3315, 6762, 1353, 2486, 6121, 2658, 4638, 3297, 1920, 2768, 769, 7030, 4669, 7481, 677, 697, 2356, 702, 5500, 3885, 6649, 1346, 1288, 3300, 8124, 2157, 702, 5500, 3885, 977, 5445, 6649, 977, 702, 5500, 771, 3300, 8111, 2157, 2356, 1767, 1146, 1265, 6772, 711, 3209, 3227, 3326, 7028, 3352, 1779, 2458, 1993, 3833, 6645, 7032, 6084, 4209, 4151, 7167, 7188, 3352, 1779, 855, 2233, 3885, 2388, 3528, 1184, 676, 855, 3885, 2388, 1772, 6631, 6814, 8132, 1765, 772, 3352, 1779, 4638, 3885, 2388, 771, 6809, 1168, 9919, 1369, 1912, 7032, 6084, 3352, 1779, 704, 4638, 1171, 1555, 5500, 3209, 3227, 6624, 2487, 1071, 704, 1744, 7032, 6395, 1171, 1469, 2408, 1355, 6395, 1171, 1772, 809, 3885, 977, 2845, 3119, 5445, 1184, 3309, 2898, 5330, 2487, 1232, 4638, 7579, 3332, 3519, 2573, 5500, 1139, 4385, 1920, 2388, 6444, 3146, 5468, 4384, 5790, 689, 3566, 2421, 691, 4828, 3473, 3522, 1736, 3360, 1902, 3441, 5728, 689, 1266, 4771, 4828, 3332, 5023, 1772, 809, 6649, 977, 2845, 3119, 1744, 7354, 2356, 1767, 3175, 7481, 5401, 5500, 6818, 3309, 6134, 4385, 2487, 1232, 1762, 1315, 2199, 1139, 1378, 3173, 671, 6762, 5307, 3845, 1173, 4080, 3124, 5032, 4638, 7564, 3309, 678, 677, 1453, 6887, 2900, 2487, 1232, 677, 3885, 6825, 3119, 1724, 7345, 1059, 4413, 2832, 6598, 5442, 928, 2552, 738, 1728, 3634, 5445, 3209, 3227, 2990, 1285, 3867, 2622, 7481, 677, 677, 1453, 758, 1952, 2349, 7716, 2824, 6437, 800, 2199, 1762, 3315, 1453, 2972, 1139, 3173, 2974, 3177, 3341, 2990, 2920, 5307, 3845, 1872, 7270, 1469, 2218, 689, 2356, 1767, 2945, 2054, 860, 2845, 6887, 1952, 2349, 7716, 1315, 2199, 2972, 1139, 4638, 5307, 3845, 1173, 4080, 3175, 3428, 1259, 2886, 2190, 821, 689, 6822, 671, 3635, 1121, 4925, 809, 2376, 1221, 1158, 6863, 2218, 689, 2454, 7270, 7151, 2190, 704, 772, 7348, 5277, 4638, 1121, 4925, 3309, 7361, 2810, 1920, 2190, 3926, 3815, 5543, 3975, 4638, 4777, 1355, 1350, 2832, 6598, 1217, 1920, 1825, 4794, 6392, 3177, 2456, 6392, 809, 1350, 7151, 2190, 1555, 689, 3833, 1220, 1121, 4925, 5023, 7564, 6369, 1762, 5401, 1744, 3173, 4638, 5307, 3845, 1173, 4080, 3124, 5032, 1139, 1378, 1184, 1400, 5401, 5500, 3300, 3307, 5326, 5330, 924, 2844, 2487, 1232, 3419, 2229, 1398, 3198, 1059, 4413, 6598, 3315, 2356, 1767, 738, 2199, 924, 2898, 671, 702, 5679, 1962, 4638, 976, 1914, 3702, 1741, 1469, 4384, 1862, 1744, 1079, 3175, 7481, 6818, 3309, 2791, 1765, 772, 2356, 1767, 1139, 4385, 671, 763, 1726, 3265, 6839, 6496, 1963, 677, 3862, 6818, 8113, 1453, 2791, 2238, 2768, 769, 1772, 817, 1158, 1139, 3173, 7770, 674, 4906, 5023, 1765, 772, 821, 689, 6818, 3299, 7218, 1545, 898, 4197, 4125, 4255, 809, 1350, 6956, 1146, 1814, 2356, 4638, 2791, 2238, 2768, 769, 7030, 1439, 1726, 1285, 2578, 1232, 5023, 6821, 763, 1726, 3265, 6839, 6496, 671, 2428, 886, 2533, 2356, 1767, 7564, 3309, 3173, 4638, 4638, 1765, 772, 6444, 2971, 3124, 5032, 1315, 2199, 1168, 3341, 852, 3198, 5635, 791, 3189, 794, 5644, 6389, 3867, 2622, 3341, 4692, 5052, 4415, 2231, 2190, 3634, 898, 4197, 924, 2898, 3756, 7949, 3766, 3300, 6839, 6496, 6134, 3209, 5052, 4415, 2231, 6206, 1139, 1378, 3173, 4638, 3517, 2356, 6444, 2971, 3124, 5032, 6821, 3187, 4542, 1872, 1217, 749, 1914, 3175, 976, 1914, 4638, 928, 2552, 1469, 1235, 3698, 5445, 4958, 3175, 1156, 1905, 754, 4685, 2190, 6158, 1220, 4638, 1765, 855, 679, 6814, 5052, 4415, 2231, 1316, 2190, 6818, 3309, 2898, 5330, 4125, 4255, 4638, 7579, 3332, 3519, 2573, 5500, 4638, 4556, 4312, 4143, 868, 2458, 1993, 698, 1217, 4664, 5052, 2945, 2054, 860, 2845, 6887, 3918, 769, 2792, 6818, 3189, 1403, 1392, 1920, 1171, 1555, 1355, 1139, 4664, 5052, 1141, 6206, 3724, 782, 4681, 782, 4664, 2971, 2768, 7607, 7415, 2768, 3473, 3522, 1736, 3360, 1902, 3441, 5728, 689, 1469, 7032, 1164, 4906, 2825, 5023, 125, 1372, 5500, 4873, 4638, 769, 3211, 6572, 2787, 3918, 769, 2792, 4917, 1963, 2124, 812, 1086, 3613, 1346, 680, 7028, 4157, 5500, 4873, 4143, 868, 2193, 5636, 5500, 817, 2460, 2382, 3797, 1220, 3918, 769, 2792, 2199, 7023, 1357, 7361, 1169, 6572, 2787, 769, 3211, 1403, 2356, 1767, 1062, 2357, 5023, 2974, 3177, 2400, 2190, 1062, 1385, 7023, 1357, 5276, 6224, 1355, 4664, 5052, 1141, 6858, 2845, 2821, 6397, 1062, 2458, 6482, 6569, 5023, 4664, 5052, 2974, 3177, 3918, 769, 2792, 4638, 677, 6835, 715, 1220, 4684, 2970, 2193, 5636, 791, 3189, 7579, 3332, 3519, 2573, 5500, 4638, 4143, 868, 3209, 3227, 6842, 4060, 791, 3189, 1914, 1372, 1184, 3309, 2487, 1232, 5500, 6649, 977, 5445, 677, 1453, 1400, 1288, 1453, 2769, 812, 2218, 2458, 1993, 1762, 3152, 704, 2990, 4850, 3800, 2692, 1905, 754, 6814, 4178, 4307, 2578, 4638, 7579, 3332, 3519, 2573, 5500, 4638, 7599, 7372, 1400, 2356, 2832, 6598, 5442, 793, 7444, 6226, 6912, 6818, 3309, 3885, 2388, 6814, 1920, 4638, 702, 5500, 1963, 2797, 704, 2898, 3300, 2418, 5440, 5991, 6844, 2496, 1121, 797, 2772, 5442, 5815, 1164, 749, 5310, 794, 791, 3189, 2356, 1767, 4307, 1105, 3341, 4692, 7579, 3332, 3519, 2573, 3352, 1779, 4638, 4143, 868, 3209, 3227, 6842, 4060, 852, 3326, 7028, 3352, 1779, 1316, 2970, 6814, 749, 976, 1914, 2970, 1213, 3472, 2215, 809, 7032, 6084, 4209, 4151, 7167, 7188, 3352, 1779, 6134, 4385, 6772, 881, 1400, 2356, 1963, 3362, 1392, 1920, 3326, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 2, 0, 2, 3, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 0, 1, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3 ]
[ 101, 2844, 4669, 7564, 3309, 4293, 2471, 1920, 4669, 821, 4937, 791, 3189, 143, 5500, 2356, 1767, 1139, 4385, 749, 4685, 2190, 2160, 2388, 7448, 5782, 6624, 1232, 1762, 4669, 704, 677, 6395, 2900, 3144, 671, 2428, 1140, 4959, 8283, 4157, 4638, 3118, 3053, 852, 4507, 754, 1184, 3309, 3726, 7032, 1062, 1385, 1762, 10930, 4157, 4638, 1872, 2898, 676, 1920, 6121, 6121, 711, 3353, 1920, 1765, 2990, 2920, 749, 1914, 1928, 4638, 2419, 3698, 1728, 3634, 7390, 4708, 2900, 3144, 1726, 1168, 8283, 4157, 678, 3175, 3300, 6225, 4157, 6371, 711, 679, 2961, 7370, 3726, 7032, 1872, 2898, 4638, 1377, 5543, 2595, 1358, 3634, 2512, 1510, 1914, 1928, 4638, 743, 4669, 1213, 7030, 3300, 2792, 5471, 7415, 794, 5445, 886, 2533, 677, 6395, 2900, 3144, 3300, 2792, 821, 4937, 7028, 1726, 12100, 4157, 5445, 4669, 7481, 3227, 4850, 1139, 1914, 1928, 4638, 3636, 1690, 712, 6206, 3221, 4209, 4151, 1171, 1555, 4510, 1690, 5023, 689, 5327, 2768, 7270, 2595, 1076, 1072, 4638, 702, 5500, 5445, 1765, 772, 5500, 7167, 7188, 5500, 924, 7372, 5500, 5023, 1501, 4905, 6649, 2388, 2233, 1184, 1071, 2141, 738, 711, 3313, 3341, 6121, 2658, 6822, 671, 3635, 1726, 3265, 2990, 897, 749, 1400, 1906, 1092, 1728, 711, 3634, 5102, 702, 5500, 4680, 1184, 1772, 2881, 671, 2137, 4638, 7579, 3332, 3118, 3053, 2792, 809, 1400, 5330, 6121, 2658, 793, 3300, 821, 4937, 2486, 1285, 4638, 1377, 5543, 2595, 1762, 3082, 868, 704, 2456, 6379, 2832, 6598, 5442, 1068, 3800, 676, 2108, 2428, 689, 5327, 2768, 7270, 2595, 727, 6225, 4638, 1501, 4905, 809, 1350, 704, 856, 817, 5500, 7579, 3332, 705, 2168, 4638, 1501, 4905, 2347, 3300, 10926, 3340, 6397, 6389, 2769, 6206, 6397, 6389, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 3, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3 ]
[ 101, 127, 3299, 130, 3189, 7676, 3949, 5500, 2356, 4669, 1184, 7028, 6206, 3867, 2622, 671, 6229, 127, 3299, 130, 3189, 7676, 3949, 5500, 2356, 4669, 1184, 7028, 6206, 3867, 2622, 671, 6229, 3173, 5500, 677, 2356, 1355, 6121, 817, 6121, 886, 817, 9377, 9373, 704, 6121, 3791, 1069, 671, 1282, 753, 6579, 11900, 9039, 9313, 8682, 9165, 704, 4919, 3791, 1069, 753, 7439, 671, 6579, 11900, 8538, 8544, 8455, 9340, 8157, 3862, 3779, 3791, 1069, 753, 7439, 1724, 6579, 8146, 9605, 8823, 8455, 9340, 8158, 1469, 7942, 3791, 1069, 671, 671, 7439, 6579, 12801, 10529, 12037, 9340, 8161, 1469, 7942, 3791, 1069, 671, 671, 7439, 143, 8904, 8978, 9042, 8544, 8455, 9340, 8156, 7987, 2339, 3791, 1069, 671, 1282, 753, 6579, 8147, 10969, 9313, 8682, 9398, 4078, 1300, 3791, 1069, 671, 1282, 753, 6579, 12849, 9842, 8455, 12531, 704, 769, 7931, 7213, 753, 7439, 671, 6579, 12801, 9219, 9313, 8682, 9097, 3862, 4506, 7931, 7213, 753, 7439, 671, 6579, 11900, 8408, 8835, 8455, 9050, 8144, 4868, 1290, 7931, 7213, 753, 7439, 671, 6579, 11900, 9292, 8544, 8455, 9050, 8152, 704, 4919, 4448, 928, 671, 671, 7439, 145, 8851, 8959, 8920, 8455, 9050, 8159, 1469, 7942, 3942, 2802, 671, 671, 7439, 145, 9042, 9495, 9265, 9313, 8682, 9183, 1469, 7942, 3942, 2802, 1724, 7439, 671, 6579, 11900, 10589, 12037, 9050, 8158, 2339, 6121, 3942, 2802, 671, 1282, 753, 6579, 11900, 9492, 9313, 8682, 8959, 1469, 7942, 3726, 705, 671, 671, 7439, 6579, 12801, 9676, 9942, 8682, 9136, 1469, 7942, 3726, 705, 671, 1282, 753, 6579, 11900, 9419, 9942, 8682, 9495, 1469, 7942, 3726, 705, 753, 7439, 671, 6579, 11900, 8311, 9758, 8455, 11581, 1469, 7942, 5792, 1394, 671, 1282, 753, 6579, 8140, 8805, 9042, 9942, 8682, 9313, 704, 5468, 5792, 1394, 753, 7439, 1724, 6579, 8146, 9313, 8599, 9313, 8682, 9605, 1453, 4495, 5792, 1394, 671, 1282, 753, 6579, 11900, 13141, 8455, 8849, 8152, 1469, 7942, 5401, 3360, 671, 1282, 671, 6579, 8137, 8818, 9137, 9332, 8682, 9545, 1469, 7942, 5401, 3360, 671, 1282, 671, 143, 9042, 9632, 9988, 8455, 8849, 8157, 704, 7213, 3791, 2349, 753, 1282, 753, 6579, 12801, 12629, 12037, 8849, 8158, 3862, 6090, 3791, 2349, 753, 7439, 753, 6579, 8140, 9165, 9902, 8455, 8849, 8161, 2875, 1555, 3791, 2349, 753, 7439, 753, 6579, 8147, 9433, 9758, 8455, 8849, 8156, 736, 797, 3791, 2349, 753, 7439, 671, 6579, 8140, 9340, 9758, 8455, 8849, 8160, 3817, 924, 3791, 2349, 753, 7439, 1724, 6579, 8140, 9373, 8852, 12037, 9500, 8129, 1469, 7942, 691, 762, 753, 7439, 671, 6579, 11900, 8452, 10097, 8455, 9500, 8148, 3949, 769, 691, 762, 753, 7439, 673, 6579, 11900, 8662, 9559, 9332, 8682, 9595, 3683, 6832, 691, 762, 753, 7439, 753, 6579, 11900, 8805, 8650, 8455, 9500, 8152, 2168, 1213, 691, 762, 753, 1282, 753, 6579, 11900, 8452, 9136, 8455, 9500, 8159, 704, 7372, 5709, 3186, 753, 7439, 753, 6579, 13220, 8455, 9402, 8455, 9500, 8157, 3817, 924, 5709, 3186, 671, 1282, 753, 6579, 11900, 8852, 8544, 8455, 9500, 8158, 7213, 3777, 5709, 3186, 671, 1282, 753, 143, 8904, 13241, 8544, 8455, 9500, 8161, 5468, 2682, 5709, 3186, 671, 1282, 753, 6579, 11900, 9310, 9313, 8682, 9215, 1469, 7942, 5709, 3186, 671, 1282, 753, 6579, 8140, 9632, 9136, 9219, 9340, 8662, 2608, 2900, 3791, 1069, 671, 1282, 4281, 148, 8904, 9364, 8805, 9086, 8839, 9340, 8818, 2608, 2900, 3791, 1069, 671, 1282, 4281, 149, 8904, 9364, 8709, 9086, 8839, 9340, 8393, 2608, 2900, 3791, 1069, 671, 1282, 4281, 150, 8904, 9364, 8921, 9086, 8839, 9340, 8650, 2608, 2900, 3791, 1069, 671, 1282, 4281, 151, 8904, 9364, 12149, 9086, 9165, 9290, 8144, 2608, 2900, 3791, 1069, 671, 736, 4220, 159, 8904, 9364, 9355, 9086, 8839, 9340, 8682, 2608, 2900, 4448, 7213, 671, 1282, 4281, 148, 8904, 9364, 8921, 9086, 8839, 9340, 8743, 2608, 2900, 4448, 928, 671, 1282, 4220, 148, 8904, 9364, 9310, 9086, 8839, 9340, 8756, 2608, 2900, 4448, 928, 671, 4508, 4220, 165, 8904, 9364, 9352, 9086, 8839, 9340, 8976, 2608, 2900, 4448, 928, 671, 734, 4220, 147, 8904, 9364, 9647, 9086, 8839, 9340, 8835, 2608, 2900, 4448, 928, 671, 734, 4220, 148, 8904, 9364, 10346, 9086, 9165, 9290, 8160, 2608, 2900, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 3, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 0, 1, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 0, 1, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 0, 1, 2, 3, 3, 3, 3, 3, 0, 1, 2, 0, 1, 1, 1, 2, 3, 3, 3, 3, 3, 0, 2, 0, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 1, 1, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 0, 1, 2, 0, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 0, 1, 2, 0, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 3, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 3 ]
[ 101, 3173, 3857, 6568, 5307, 129, 3299, 127, 3189, 3119, 4669, 3064, 2845, 5464, 1921, 2141, 2497, 1392, 855, 3173, 3857, 5381, 1351, 1920, 2157, 1962, 712, 2898, 782, 3736, 1287, 1392, 855, 779, 4263, 4638, 3173, 3857, 5381, 1351, 812, 1920, 2157, 1962, 3614, 6816, 3119, 4692, 791, 1921, 678, 1286, 4638, 3173, 3857, 3119, 4669, 3064, 2845, 2769, 3221, 712, 2898, 782, 3736, 1287, 2769, 812, 791, 1921, 6913, 6435, 1168, 4638, 1146, 3358, 5439, 2360, 3341, 5632, 2900, 1298, 7151, 4638, 7440, 3875, 5439, 2360, 7440, 3875, 5439, 2360, 2644, 1962, 7440, 3875, 712, 2898, 782, 1962, 1920, 2157, 1962, 712, 2898, 782, 3736, 1287, 7440, 3875, 5439, 2360, 2418, 6421, 6432, 791, 1921, 1952, 6817, 4125, 4150, 3633, 2466, 1762, 1266, 776, 2458, 1993, 837, 6853, 749, 2769, 812, 4692, 1168, 677, 6395, 2900, 3144, 2418, 6421, 6432, 738, 2523, 5314, 7481, 2094, 791, 1921, 6006, 4197, 6432, 4669, 704, 1139, 4385, 749, 671, 2137, 4638, 2920, 5782, 852, 3221, 3297, 1400, 6820, 3221, 3119, 5273, 677, 6395, 2900, 3144, 2845, 3119, 754, 11206, 9676, 9105, 4157, 677, 3885, 11367, 8683, 4157, 3885, 2388, 8438, 3918, 2768, 2900, 2845, 3119, 754, 8192, 9050, 8679, 8158, 4157, 678, 6649, 9611, 9495, 4157, 6649, 2388, 8140, 8158, 3683, 677, 6395, 5341, 2900, 7410, 4692, 679, 2208, 5439, 2360, 2582, 720, 4692, 791, 1921, 4638, 1920, 4669, 6134, 4385, 1450, 7440, 3875, 791, 1921, 1059, 1921, 4638, 6624, 1232, 1825, 3315, 677, 793, 4197, 3221, 2419, 6956, 2920, 5782, 4638, 6624, 1232, 794, 153, 5296, 1745, 677, 3341, 4692, 791, 1921, 3119, 1168, 7345, 1282, 2099, 3215, 4638, 6624, 1232, 3418, 2945, 6821, 671, 3797, 794, 128, 3299, 124, 1384, 4638, 856, 4157, 2458, 1993, 4638, 5029, 2419, 4638, 6814, 4923, 3341, 4692, 4680, 1184, 1825, 3315, 677, 5018, 676, 702, 856, 4157, 1825, 3315, 677, 898, 4197, 3221, 6134, 4385, 1139, 749, 671, 2137, 4638, 2419, 6956, 2848, 7770, 4638, 2578, 1232, 2769, 812, 4692, 1168, 1762, 128, 3299, 124, 1384, 4638, 856, 4157, 3297, 856, 6649, 4788, 749, 10496, 4157, 2769, 812, 4692, 1168, 1762, 128, 3299, 8121, 1384, 4638, 856, 4157, 3221, 1762, 10496, 4157, 722, 677, 4680, 1184, 1825, 3315, 677, 6820, 3119, 1762, 10930, 4157, 2340, 1381, 7564, 6369, 6821, 697, 1921, 2418, 6421, 833, 1762, 6821, 702, 817, 855, 3300, 2792, 1353, 1908, 722, 1400, 7564, 6369, 2418, 6421, 5543, 1762, 10496, 1914, 4157, 2340, 1381, 5543, 1916, 3300, 671, 702, 6624, 4937, 4638, 2578, 1232, 794, 6821, 702, 4157, 855, 2458, 1993, 2501, 2768, 6821, 3416, 676, 7028, 2419, 4638, 6624, 1232, 7564, 6369, 3313, 3341, 793, 4197, 833, 3221, 671, 702, 3683, 6772, 4937, 978, 4638, 671, 702, 5353, 2714, 4638, 2920, 5782, 677, 6121, 4638, 2578, 1232, 712, 2898, 782, 3736, 1287, 5439, 2360, 4692, 3341, 2190, 1400, 2356, 4638, 7564, 3309, 6820, 3221, 3683, 6772, 1962, 4638, 7440, 3875, 2769, 702, 782, 6371, 711, 1762, 3146, 702, 1952, 6817, 3309, 7313, 3187, 6389, 794, 2769, 812, 1744, 2157, 4638, 3146, 860, 5307, 3845, 4307, 1105, 3341, 6432, 6820, 3221, 794, 3124, 5032, 2190, 5500, 2356, 4638, 2828, 2995, 3341, 4692, 1762, 4680, 1184, 4638, 6821, 702, 7348, 3667, 1355, 4495, 671, 702, 1920, 4638, 2920, 5782, 4638, 2145, 6225, 3340, 816, 3221, 679, 1072, 1906, 4638, 2600, 860, 677, 3341, 6382, 4680, 1184, 6821, 671, 3667, 3309, 7313, 2418, 6421, 712, 6206, 6963, 3221, 671, 702, 5335, 4937, 4638, 6121, 2658, 1825, 3315, 677, 833, 1762, 6821, 3416, 671, 702, 1277, 1818, 4638, 7353, 6818, 809, 2920, 5782, 4638, 6624, 1232, 711, 712, 712, 2898, 782, 3736, 1287, 1377, 5543, 6820, 3221, 2920, 5782, 1963, 3362, 2843, 1353, 2486, 4638, 6413, 1377, 5543, 6820, 3221, 6206, 5023, 2521, 671, 3667, 3198, 7313, 4638, 5439, 2360, 4692, 671, 678, 791, 1921, 3352, 1779, 2961, 6121, 4638, 3175, 7481, 791, 1921, 2961, 1762, 5018, 671, 4638, 3221, 1171, 1555, 3352, 1779, 2961, 1762, 5018, 753, 3221, 7213, 6121, 5102, 4638, 702, 5500, 2961, 1762, 5018, 676, 5102, 4638, 3221, 791, 1921, 677, 3885, 1232, 1928, 7478, 2382, 2487, 1226, 4638, 3180, 3952, 6983, 2421, 5439, 2360, 2644, 2582, 720, 4692, 6821, 1126, 702, 3352, 1779, 4638, 6134, 4385, 1450, 7440, 3875, 791, 1921, 3146, 860, 677, 3341, 4692, 2769, 812, 4692, 1168, 702, 5500, 4638, 4178, 4157, 1071, 2141, 6963, 3221, 3683, 6772, 3141, 744, 4638, 794, 3772, 2356, 4638, 2961, 6121, 3528, 3341, 4692, 1762, 3885, 2388, 3528, 1184, 1154, 4638, 1825, 3315, 677, 6820, 6963, 3221, 671, 763, 2207, 2356, 966, 4638, 7579, 3332, 3519, 2573, 4638, 5500, 4873, 1762, 3146, 860, 677, 6382, 1920, 4669, 5905, 5040, 4638, 5500, 4873, 2769, 812, 4692, 1168, 1008, 7167, 7188, 4209, 4151, 6821, 763, 1825, 3315, 677, 793, 4197, 3221, 1762, 671, 702, 1726, 6444, 4638, 6814, 4923, 704, 4685, 2190, 3341, 6432, 1920, 4669, 5905, 5040, 5500, 6134, 4385, 3683, 6772, 1962, 671, 4157, 1825, 3315, 677, 3221, 7213, 6121, 3352, 1779, 809, 1350, 1171, 1555, 3519, 2573, 4638, 3352, 1779, 1825, 3315, 677, 738, 6656, 677, 671, 1453, 5320, 6369, 4638, 3146, 702, 7213, 6121, 3352, 1779, 809, 1350, 1171, 1555, 3352, 1779, 4638, 3322, 3354, 6598, 7032, 4638, 671, 702, 1112, 3837, 1057, 4638, 4307, 1105, 3300, 1068, 5143, 1728, 711, 2769, 812, 1762, 677, 1453, 4638, 5320, 6369, 6814, 4923, 704, 2769, 812, 738, 1355, 4385, 1762, 7213, 6121, 3352, 1779, 677, 671, 1453, 3221, 1825, 7032, 2600, 7030, 4638, 671, 702, 6598, 7032, 3837, 1057, 3297, 1914, 4638, 671, 702, 3352, 1779, 1163, 2957, 6821, 763, 1920, 4669, 5905, 5040, 3352, 1779, 3341, 4692, 1762, 3885, 2388, 3528, 3683, 6772, 3833, 6645, 4638, 1825, 3315, 677, 6963, 3221, 2207, 2356, 966, 4638, 671, 763, 5500, 4873, 1377, 809, 6432, 3209, 1762, 4385, 1762, 4638, 6821, 4905, 2356, 1767, 4384, 1862, 678, 2356, 1767, 2600, 4638, 2100, 7030, 6598, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 3, 3, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 3, 3, 3, 3, 3, 0, 2, 3, 3, 3, 0, 2, 3, 0, 1, 2, 0, 2, 3, 3, 3, 3, 3, 3, 0, 2, 3, 3, 3, 0, 2, 3, 3, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 0, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 1, 1, 2, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 3, 0, 1, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 1, 2, 3, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 1, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 3 ]
[ 101, 3119, 6579, 1920, 4886, 3862, 6858, 6395, 1171, 844, 966, 2990, 1285, 3862, 6858, 6395, 1171, 8133, 3189, 1355, 2357, 4638, 1062, 1440, 4917, 3862, 6858, 7676, 3949, 2347, 754, 8131, 3189, 680, 3173, 1158, 2456, 7415, 1730, 3300, 7361, 1062, 1385, 5041, 6370, 5500, 3326, 743, 1297, 1291, 6379, 2877, 6858, 6814, 4385, 7032, 3119, 6579, 3173, 1158, 2456, 7415, 1730, 2792, 2898, 1920, 4886, 6395, 1171, 12779, 783, 5500, 3249, 6858, 5500, 1304, 1920, 4886, 6395, 1171, 2347, 1355, 6121, 5500, 819, 4638, 8247, 9219, 3868, 1350, 6598, 7032, 5276, 711, 9952, 8144, 783, 3949, 1039, 3119, 6579, 2130, 2768, 1400, 3862, 6858, 7676, 3949, 2199, 2898, 3300, 1920, 4886, 6395, 1171, 8247, 9219, 4638, 5500, 819, 3862, 6858, 6395, 1171, 3313, 3341, 689, 1218, 1184, 3250, 3209, 3306, 5739, 1920, 6395, 1171, 4777, 4955, 2792, 2792, 7270, 3330, 1920, 7446, 6134, 4850, 2190, 1079, 1765, 1469, 7676, 3949, 6395, 1171, 2356, 1767, 3341, 6432, 6821, 6963, 3221, 1072, 3300, 3403, 2562, 2595, 2692, 721, 4638, 752, 816, 3330, 1920, 7446, 6814, 1343, 3295, 1914, 2399, 680, 7676, 3949, 1920, 4886, 6395, 1171, 3300, 1394, 868, 1068, 5143, 2945, 800, 792, 5305, 1920, 4886, 6395, 1171, 3221, 7676, 3949, 4638, 5439, 4277, 1171, 1555, 712, 5852, 689, 1218, 711, 6395, 1171, 3309, 6573, 3309, 3326, 3726, 4372, 1469, 6586, 7032, 2247, 852, 689, 1218, 1914, 711, 1744, 7354, 689, 1218, 809, 1920, 4886, 6395, 1171, 711, 891, 2458, 2245, 3862, 1912, 5500, 4873, 2356, 1767, 2832, 6598, 1398, 671, 6572, 2787, 678, 1377, 809, 6579, 743, 704, 1744, 704, 1744, 7676, 3949, 704, 1744, 1378, 3968, 5401, 1744, 1217, 2897, 1920, 840, 3142, 4078, 3828, 3189, 3315, 7506, 1744, 7716, 3341, 6205, 762, 3173, 1217, 1786, 1469, 3805, 1744, 5023, 2356, 1767, 4638, 5500, 4873, 1920, 4886, 6395, 1171, 6820, 3300, 5500, 4873, 955, 6587, 809, 1350, 3782, 4958, 5500, 4873, 3309, 3326, 1469, 5310, 3354, 2466, 6122, 4495, 1501, 5023, 689, 1218, 800, 6134, 4850, 3862, 6858, 6395, 1171, 4638, 3119, 6579, 3221, 7478, 2382, 1072, 3300, 2773, 4526, 6823, 6224, 4638, 715, 1220, 3862, 6858, 794, 3634, 3300, 749, 671, 702, 1139, 3862, 1366, 3313, 3341, 6395, 1171, 2356, 1767, 4638, 3918, 3949, 671, 860, 1265, 1469, 3772, 3949, 671, 860, 1265, 3221, 702, 1920, 6633, 1232, 3862, 6858, 3313, 7433, 5339, 5368, 671, 3635, 1168, 855, 3862, 6858, 6395, 1171, 3313, 3341, 4638, 689, 1218, 1184, 3250, 2408, 7333, 4263, 2456, 6395, 1171, 7032, 6084, 1146, 3358, 2360, 2101, 762, 6631, 2900, 1139, 868, 711, 677, 3862, 3315, 1765, 1171, 1555, 3862, 6858, 6395, 1171, 1762, 2824, 2970, 1744, 7354, 689, 1218, 677, 5543, 1213, 3227, 4197, 679, 1963, 704, 928, 6395, 1171, 1469, 704, 7032, 6395, 1171, 4764, 3309, 3341, 4692, 6833, 1147, 3119, 6579, 1920, 4886, 6395, 1171, 3221, 711, 749, 3209, 2399, 1377, 5543, 2972, 1139, 4638, 1744, 7354, 3352, 1071, 800, 689, 1079, 782, 1894, 6371, 711, 3862, 6858, 6395, 1171, 3119, 6579, 1920, 4886, 6395, 1171, 680, 677, 3862, 4638, 7032, 2971, 6662, 5296, 3300, 671, 2137, 1068, 5143, 129, 3299, 8124, 3189, 677, 3862, 2356, 1062, 2357, 4638, 1068, 754, 6822, 671, 3635, 2972, 6822, 677, 3862, 7032, 6084, 1744, 6598, 1469, 2356, 2247, 7032, 6084, 821, 689, 3121, 7484, 1355, 2245, 4638, 5735, 2397, 2692, 6224, 7032, 6084, 6598, 772, 3146, 1394, 976, 1920, 4638, 2590, 6662, 2523, 3209, 3227, 3862, 6858, 6395, 1171, 2218, 3221, 677, 3862, 7032, 2971, 1355, 2245, 3683, 6772, 6813, 6862, 4638, 671, 3353, 1908, 4277, 1400, 2772, 833, 3300, 1962, 4638, 6134, 4385, 7676, 3949, 5636, 2168, 6395, 1171, 1146, 3358, 2360, 2476, 3441, 2128, 6371, 711, 6821, 702, 3119, 6579, 6121, 1220, 3188, 1377, 809, 4692, 868, 1079, 1765, 1171, 1555, 6624, 1403, 7676, 3949, 738, 1377, 4692, 868, 7676, 3949, 1171, 1555, 6624, 1403, 1079, 1765, 679, 6389, 2582, 720, 4692, 3862, 6858, 6395, 1171, 794, 3634, 3300, 749, 671, 702, 6825, 2970, 3862, 1079, 1912, 4638, 2832, 6598, 2398, 1378, 689, 1218, 5745, 1741, 1377, 2533, 1168, 2523, 1920, 2810, 2245, 6821, 3221, 671, 702, 1352, 6617, 2772, 5442, 122, 1217, 122, 1920, 754, 123, 4638, 2229, 7481, 6158, 3119, 6579, 3175, 1920, 4886, 6395, 1171, 5500, 817, 2347, 5307, 1762, 7676, 3949, 1119, 1326, 677, 3885, 5445, 3119, 6579, 3175, 3862, 6858, 6395, 1171, 1762, 143, 5500, 2356, 1767, 1908, 4277, 1400, 5507, 2137, 738, 833, 3300, 671, 4528, 6134, 4385, 1298, 776, 6395, 1171, 1298, 3175, 2600, 6956, 2600, 5307, 4415, 6395, 1171, 1146, 3358, 2360, 3319, 7987, 5710, 6371, 711, 7676, 3949, 3221, 1744, 7354, 7032, 6084, 704, 2552, 722, 671, 1403, 3341, 6158, 1079, 1765, 7032, 6084, 3322, 3354, 6228, 711, 6624, 1403, 1744, 7354, 2356, 1767, 4638, 3441, 1928, 1836, 1920, 4886, 6395, 1171, 3300, 8198, 2399, 1325, 1380, 1071, 4916, 5168, 4638, 689, 1218, 1501, 4905, 2145, 2787, 6598, 3975, 1501, 4277, 2512, 1510, 1772, 6158, 3862, 6858, 671, 715, 3119, 1057, 1718, 704, 807, 817, 6006, 7770, 852, 966, 2533, 794, 3634, 3862, 6858, 2218, 3300, 749, 2199, 3341, 1762, 1744, 7354, 3352, 2356, 1767, 2824, 3005, 689, 1218, 704, 680, 704, 7032, 704, 928, 4993, 751, 4638, 6598, 3315, 1369, 1912, 3862, 6858, 680, 1920, 4886, 6820, 2501, 2768, 749, 689, 1218, 677, 4638, 757, 6133, 2190, 3862, 6858, 4638, 7032, 2971, 2773, 4526, 1072, 3300, 7028, 1920, 2692, 721, 4680, 1184, 1744, 1079, 1171, 1555, 6963, 1762, 4916, 3353, 1872, 2487, 1744, 7354, 3352, 689, 1218, 4993, 751, 1213, 3862, 6858, 3634, 715, 1072, 3300, 2773, 4526, 2692, 721, 2190, 143, 5500, 2832, 6598, 5442, 3341, 6432, 2190, 3862, 6858, 6395, 1171, 4638, 844, 966, 738, 2418, 6421, 3300, 3173, 4638, 5440, 5991, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 3, 3, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 3, 3, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 1, 1, 2, 0, 2, 0, 2, 3, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 1, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 1, 2, 3, 3, 3, 0, 1, 2, 3, 3, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 3, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 2, 3, 3, 3, 0, 2, 3 ]
End of preview. Expand in Data Studio
README.md exists but content is empty.
Downloads last month
4
Size of downloaded dataset files:
333 MB
Size of the auto-converted Parquet files:
333 MB
Number of rows:
334,429